The conversion addition and subtraction of the numbers are done.
Explain about the unit conversions?The system you use to express how big or tiny something is is called a unit of measurement. Suppose it depends on the subject you're measuring, the unit will change. For instance, you can determine how many pounds or kilograms you are when you step upon that weight machine to weigh yourself.We now need convert between units in order to ensure accuracy and prevent measurement misinterpretation. For example, we would not measure a pencil's length in kilometers. In this situation, one must convert from kilometers (km) to centimeters (cm).So, Solution are:
A. 900 p (into rupees)
1 rupee = 100 p
900 p = 9 rupees
B. 400 cm (into metre)
1 m = 100 cm
400 cm = 4.00 m
C. Rs. 27.70, Rs. 32.40 and Rs. 44.80 (Add)
= Rs. 27.70 + Rs. 32.40 + Rs. 44.80
= 104.9
D. 9m 80 cm (into centimetre)
1 m = 100 cm
= 9m 80 cm
= 9m + 0.80m
= 9.8 m
E. 6480 m (into kilometres and metre)
1 m = 100 cm
6480 m
1 km = 1000m
6480 m = 6.480 km
F. Rs. 820.00 - Rs. 512.10 (Subtract)
Rs. 307.9
Thus, the unit conversion, addition and subtraction of the numbers are done.
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step by step answer. differentiate/simplify
The derivative of given ƒ(x) is:
[tex]$f'(x) = \frac{3x^2 - 6 - 6\log(x)}{x(x^2+5)^2}$[/tex]
What is differentiation ?Differentiation is a mathematical process used to find the rate at which a function changes with respect to one of its variables. It is the process of finding the derivative of a function, which is a measure of how much the function changes as its input changes. The derivative is used to analyze the behavior of functions, find maximum and minimum values, and solve optimization problems. It is an important concept in calculus and is used in many areas of mathematics, science, and engineering.
According to given information :We can use the quotient rule to differentiate ƒ(x):
[tex]f(x) &= \frac{2+3\log(x)}{x^2+5} \ \\ \\ \\f'(x) &= \frac{(x^2+5)\frac{d}{dx}(2+3\log(x)) - (2+3\log(x))\frac{d}{dx}(x^2+5)}{(x^2+5)^2} \\ \\\ &\\= \frac{(x^2+5)\left(0+\frac{3}{x}\right) - (2+3\log(x))(2x)}{(x^2+5)^2} \\\ \\ \\ &= \frac{3x^2-6-6\log(x)}{x(x^2+5)^2}[/tex]
Therefore, the derivative of given ƒ(x) is:
[tex]$f'(x) = \frac{3x^2 - 6 - 6\log(x)}{x(x^2+5)^2}$[/tex]
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The scale of the model is 1 inch = 9 feet. The fountain at the center of the city is 18 1/2 feet wide. How wide is the fountain in the model
Therefore , the solution of the given problem of unitary method comes out to be fountain's diameter in the model is roughly 2.0556 inches.
What is an unitary method?The measurements taken from this nanosecond variable section must be multiplied by two in order to complete the task using the unitary technique. In essence, the characterised by a group and the colour sections are both removed from the unit expression method when a desired object is present. For example, 40 pens with a variable price would pay Inr ($1.01).
Here,
We can use proportionality to determine the breadth of the fountain in the model if the scale is 1 inch = 9 feet. The following percentage can be configured:
Model fountain width divided by one inch equals actual fountain width multiplied by nine feet.
The diameter of the fountain is stated to be 18 1/2 feet in real life, which is the same as 18.5 feet. Adding this number to the proportion results in:
1 inch of the model fountain's diameter divided by 18.5 feet by 9 feet
If we simplify, we get:
diameter of the model's fountain / 1 = 2.0556
By dividing the two edges by one inch, we obtain:
Modeled fountain width is 2.0556 inches.
As a result, the fountain's diameter in the model is roughly 2.0556 inches.
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An experiment published in The American Biology Teacher studied the efficacy of using 95% ethanol and 20% bleach as disinfectants for removing bacterial and fungal contamination when culturing plant tissues. The experiment was repeated 15 times with each disinfectant, using eggplant as the plant tissue cultured. Five cuttings per plant were placed on a petri dish, disinfected using each agent, and stored at 25 Celsius for 4 weeks. The observations reported were the number of uncontaminated eggplant cuttings after the 4 weeks of storage. Relevant data is given in the following table. Are you willing to assume that the underlying population variances are equal?
Disinfectant Sample mean Sample variance Sample size
95% Ethanol 3.73 2.78095 15
20% Bleach 4.80 0.17143 15
Since t = -2.41 < -2.145, reject [tex]H_o[/tex] and conclude Ha, i.e. that there is a significant difference in the mean numbers of uncontaminated eggplants for the two disinfectants tested.
How to solve(a) Are you willing to assume that the underlying variances are equal?
Absolutely not! The variances can NOT be assumed equal.
H_o: sigma1^2 = sigma2^2
H_a: sigma1^2 =/ sigma2^2
F = s1^2 / s2^2 = 2.78095 / 0.17143 = 16.222
alpha = .05, dfnum = 15-1 = 14 and dfdenom = 15-1 = 14
F-critical values
= .33573 = F.INV(.025,14,14) using Excel
= 2.978588 = F.INV(.025,14,14) using Excel
Since F = 16.222 > 2.978588, reject H_o and conclude H_a, i.e. that the population variances significantly differ.
Or, using the p-value from the TI-84... p-value = 5.59E-6 = .00000559 < alpha = .05, so we can reject H_o and conclude H_a, i.e. that the population variances significantly differ.
(b) Using the information from part a), are you willing to conclude that there is a significant difference in the mean numbers of uncontaminated eggplants for the two disinfectants tested ?
Note: Since the population variances ARE significantly different, we can NOT use the pooled t-test as rapunzel shows.
H_o: mu1 = mu2
H_a: mu1 =/ mu2
t = (xbar1-xbar2) / sqrt(s1^2/n1 + s2^2/n2)
t = (3.73 - 4.80) / sqrt(2.78095/15 + .17143/15)
Note: We do NOT square the variances. They are already squared.
t = -2.41
t-critcal values
df = smaller of n1-1 and n2-1, i.e. the smaller of 15-1 = 14 and 15-1 = 14
--> df = 14
left tail critical value = -2.145 <-- alpha/2 = .025, df = 14
right tail critical value = +2.145 <-- alpha/2 = .025, df = 14
Since t = -2.41 < -2.145, reject H_o and conclude H_a, i.e. that there is a significant difference in the mean numbers of uncontaminated eggplants for the two disinfectants tested.
Or, using the p-value from the TI-84... p-value = .028486... < alpha = .05, so we can reject H_o and conclude H_a, i.e. that there is a significant difference in the mean numbers of uncontaminated eggplants for the two disinfectants tested.
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An experiment published in The American Biology Teacher studied the efficacy of using 95% ethanol and 20% bleach as a disinfectant in removing bacterial and fungal contamination when culturing plant tissues. The experiment was repeated 15 times with each disinfectant, using eggplant as the plant tissue being cultured. Five cuttings per plant were placed on a petri dish for each disinfectant and stored at 25 centigrades for 4 weeks. The observation reported was the number of uncontaminated eggplant cuttings after the 4-week storage.
Disinfectant 95% Ethanols 20% Bleach
Mean 3.73 4.80
Variance 2.78095 0.17143
Pooled variance: 1.47619
Are you willing to assume that the underlying variances are equal?
Using the information from part a), are you willing to conclude that there is a significant difference in the mean numbers of uncontaminated eggplants for the two disinfectants tested ?
Task 3 Instructions and information The original triangle has an area equal to 729 small dotty triangles. This can be checked by counting, but there is a more efficient way. Notice that the small dotty triangles in the original triangle form rows of triangles. The first row, at the top of the triangle has I small triangle. • The second row has 3 triangles How triangles are there in the 3rd and 4th rows? n How many rows are there? Use your knowledge of series to check the total number of small triangles in the original triangle.
If the original triangle has an area equal to 729 small dotty triangles. The original triangle has an area of 8 square units.
How to find the original triangle?Let's first find the pattern of the number of small triangles in each row. The first row has 1 small triangle. The second row has 3 small triangles. The third row has 5 small triangles, and the fourth row has 7 small triangles. We can see that the pattern is that each row has 2 more small triangles than the previous row.
To find how many small triangles are in the third row, we add 2 to the number of small triangles in the second row:
3 + 2 = 5
So there are 5 small triangles in the third row.
To find how many small triangles are in the fourth row, we add 2 to the number of small triangles in the third row:
5 + 2 = 7
So there are 7 small triangles in the fourth row.
To find the total number of rows, we can count the number of rows from the top of the triangle to the bottom. Alternatively, we can use the formula for the sum of an arithmetic series to find the number of terms in the sequence. In this case, the first term is 1, the common difference is 2, and the last term is 7. Using the formula:
n = (last term - first term) / common difference + 1
n = (7 - 1) / 2 + 1
n = 4
So there are 4 rows in the triangle.
Finally, we can use the formula for the sum of an arithmetic series to find the total number of small triangles in the original triangle. In this case, the first term is 1, the common difference is 2, and the number of terms is 4. Using the formula:
sum = (n / 2) * (first term + last term)
sum = (4 / 2) * (1 + 7)
sum = 4 * 4
sum = 16
So there are 16 small triangles in the original triangle. Since each small triangle has an area of 1/2, the total area of the original triangle is:
area = 16 * (1/2)
area = 8
Therefore, the original triangle has an area of 8 square units.
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The quality control manager at a computer manufacturing company believes that the mean life of a computer is 84
months, with a variance of 100
.
If he is correct, what is the probability that the mean of a sample of 99
computers would differ from the population mean by less than 2.5
months? Round your answer to four decimal places.
SEE ATTACHED SOLUTION
A tire salesperson recommends that a customer get new tires because of low tread. The customer replies, "I don’t need new tires yet. There’s enough tread for my puttering about town since I never drive very fast or far.”
Which response would best help the customer recognize the fallacy behind the faulty inference?
“What is the actual tread depth of your tires?”
“What good are low treads going to be in the rain?”
“What if I want to borrow your car and take it on the highway?”
“What if a child runs out into the street right in front of your car?”
The response that would best help the customer recognize the fallacy behind the faulty inference is: D. "What if a child runs out into the street right in front of your car?"
Which response would best help the customer recognize the fallacy behind the faulty inference?This response uses an example of a potential emergency situation to show that having low tread on tires can be dangerous even if the customer "never drives very fast or far.
" It challenges the customer's assumption that low tread is only a concern for high-speed or long-distance driving and highlights the importance of having sufficient tread depth for unexpected situations.
Therefore the correct option is C.
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What is the meaning of "a permutation of 1, 2, ..., n is a bijection of { 1, 2, ..., n } onto { 1, 2, ..., n }"?
The permutation is a bijective function because it is both a one-one and an onto function.
What is meant by permutation?A permutation of a set in mathematics is, broadly speaking, the rearrangement of its elements if the set already has an ordered structure into a sequence or linear order. Here, the components of sets are arranged in a linear or sequential order.
The bijective function is both a one-one function and an onto function.
One-one function means that for every value of the domain, there is only one value of the range. This means that an output value never repeats.
An element x is mapped to each element y by the function f known as the onto function. In other words, there is an x for every y such that:
f(x) = y
Now we have to prove why permutation is defined as bijective.
The permutation is basically an arrangement of elements.
So for the new arrangement, at one position there is only one element.
So it is one-one.
Also, we are using the given number of elements. we are just changing its positions. So every element in the co-domain is mapped to at least one element in the domain. Also, the co-domain is the range.
So it is onto function.
Therefore the permutation is a bijective function because it is both one-one and onto function.
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Janet hikes a trail at a local forest each day. The trail is 23.6 miles long, and she has hiked 5 days in the past week. How many miles has Janet hiked in the past week?
Answer:18
Step-by-step explanation:
Trent works 8 hours of a 12-hour shift. Jose works of
the shift, and Lisa works of the shift. List the workers in
2 order from the least to the greatest fraction of a shift
worked.
Please show the work on why.
The workers listed in order from least to greatest fraction of a shift worked are Lisa (1/4) < Jose (1/3) < Trent (2/3).
In math, what is a fraction?A fraction is a component of a whole. Mathematically, the number is expressed as a quotient, where the numerator and denominator are divided. In a simple fraction, both are integers. A fraction can be found in either the numerator or the denominator of a complex fraction.
Trent worked eight of the twelve hours, or roughly two-thirds of the shift.
By dividing the number of hours Jose worked by the total number of hours in the shift, we can turn the number of hours Jose worked into a fraction:
Jose worked (12 - 8)/12 = 4/12 = 1/3 of the shift.
Lisa worked of the shift:
Lisa worked (12 - 8 - 1)/12
= 3/12
= 1/4 of the shift.
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If $10,000 is invested at 6% annual interest compounded annually, how long would it take for the account balance to reach $20,000? Round your answer to the nearest tenth
It would take approximately 11.6 years for the account balance to reach $20,000 if compounded annually.
What is the difference between compound interest and simple interest?The costs a borrower pays a lender for a loan are known as interest. For instance, banks charge interest on the loans that consumers take out.
Simple interest is the term used to describe interest that is based on the principle amount that a person borrows or invests. Contrarily, compound interest is computed on the principle borrowed or invested by the individual as well as the accrued interest from the prior period.
The formula for compound interest is:
A = P(1 + r/n)ⁿˣ
where, A is the amount
P is the principal amount = $10,000
r is the rate = 6% = 0.06
x is time.
n = 1
Substituting the values,
$20,000 = $10,000(1 + 0.06/1)¹ˣ
2 = (1.06)ˣ
Taking the natural logarithm of both sides:
ln(2) = t * ln(1.06)
t = ln(2) / ln(1.06) ≈ 11.6
Therefore, it would take approximately 11.6 years for the account balance to reach $20,000.
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How many cups of tuna does Branden need to make 3 times the rec Draw a model to show how to solve.
Tell whether the ordered pair is a solution of the equation 7=y-5x (4,28)
The ordered pair is not the solution of the given equation. The solution has been obtained by using the substitution method.
What is substitution method?One method for resolving equation systems is the substitution method. Use one equation to find an expression for one of the variables in terms of the other variable in order to apply the substitution procedure. Then, in the second equation, replace that variable with that expression.
We are given an equation as 7 = y - 5x.
The ordered pair is given as (4, 28).
On substituting this in the equation, we get
⇒7 = 28 - 5(4)
⇒7 = 28 - 20
⇒7 ≠ 8
Hence, the ordered pair is not the solution of the given equation.
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The principal P is borrowed at a simple interest rate r for a period of time t. Find the loan's future value A, or the total
amount due at time t.
P = $1000, r = 6%, t = 5 years
Answer:
$1300
Step-by-step explanation:
To find the total account balance, use the simple interest account balance formula.
P(1+rt)
1000(1 + .06 · 5)
1000(1 + .3)
1000(1.3)
$1300
what is the mean absolute deviation of 42, 45, 47, 50, 53, 56, 58, 65
The mean absolute variation for the group of integers 42, 45, 47, 50, 53, 56, 58, and 65 is therefore roughly 6.5.
How does one standard deviation mean?What one standard deviation (SD) means. on a normal or bell-shaped distribution of the data. The region of a bell curve starting at position 13 on the y axis is approximately filled by 1 SD = one standard deviation = 68% of a ratings or data values.
Here's how to find the mean absolute deviation of the set of numbers 42, 45, 47, 50, 53, 56, 58, and 65:
Find the mean:
mean = (42 + 45 + 47 + 50 + 53 + 56 + 58 + 65) / 8
mean = 50.375
Find the absolute difference between each number and the mean:
|42 - 50.375| = 8.375
|45 - 50.375| = 5.375
|47 - 50.375| = 3.375
|50 - 50.375| = 0.375
|53 - 50.375| = 2.625
|56 - 50.375| = 5.625
|58 - 50.375| = 7.625
|65 - 50.375| = 14.625
Find the average of these absolute differences:
mean absolute deviation = (8.375 + 5.375 + 3.375 + 0.375 + 2.625 + 5.625 + 7.625 + 14.625) / 8
mean absolute deviation ≈ 6.5
Therefore, the mean absolute deviation of the set of numbers 42, 45, 47, 50, 53, 56, 58, and 65 is approximately 6.5.
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If θ is an angle in standard position and its terminal side passes through the point (-2,3), find the exact value of csc � cscθ in simplest radical form.
Therefore , the solution of the given problem of trigonometry comes out to be csc θ - csc(90° - θ) is equal to -√(13) / 6.
A trigonometry is what?Mathematics and cubic splines relationships It is believed that astrophysics was created with in third century BC, when the various fields were merged. Many geometric equations can be solved or the results of computations involving them can be determined using precise mathematical methods. Trigonometry is the analysis of the six basic trigonometric formulas. They are known by a variety of titles and acronyms, including sine, dispersion, angle, angle, etc (csc).
Here,
=> h² = 2² + 3²
=> h² = 4 + 9
=> h² = 13
=> h = √(13)
Using the specification of csc, we can now determine the value of csc:
csc θ = hypotenuse / opposite
csc θ = sqrt(13) / 3
csc(θ) - csc(90° - θ) must be calculated using the identity:
csc(90° - θ) = sec θ
As a result, we have:
csc θ - csc(90° - θ) = csc θ - sec θ
= (hypotenuse / opposite) - (hypotenuse / adjacent)
= (√(13) / 3) - (√(13) / 2)
= √(13) / 6 * (2 - 3)
= -√(13) / 6
Therefore, in its simplest radical version, csc θ - csc(90° - θ) is equal to -√(13) / 6.
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Amir got $100 for his birthday. He wants to buy a pitching machine that costs $44 and as many baseballs as he can with the money. The baseballs cost $1.25 each. Amir found a coupon for 20% off the baseballs at the sporting goods store but he isn't sure if the coupon is expired. Determine the number of baseballs he can buy if he can use the coupon, and how many he can buy if he can't use the coupon.
Answer:
Without coupon: 44 baseballs
With coupon: 56 baseballs
Step-by-step explanation:
Amount that Amir got as a birthday present = $100Cost of pitching machine = $44Amount left over for buying baseballs = 100 - 44 = $56Cost of each baseball without coupon = $1.25Number of baseballs that Amir can buy at $1.25 per baseballIf the coupon works, the cost per baseball is reduced by 20%20% = 20/100 = 0.2 in decimalDiscount in $ at 20% discount = 1.25 x 0.2 = $0.25Cost after discount = $1.25 - $0.25 = $1Therefore number of baseballs that can be bought with coupon
Congruent Triangle Proofs. List reasons for the statements. Prove PQR congruent to STR and prove JKL is congruent to NKM 35 points!!
We proved that ΔPQR congruent to ΔSTR and ΔJKL is congruent to ΔNKM using the given conditions.
What are congruent traingles?
If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. A triangle's size and shape are determined by its three sides and three angles, respectively. If pairings of corresponding sides and corresponding angles are equal, two triangles are said to be congruent. They are the exact same size and form. It is necessary for both triangles to be superimposed on one another.
1) Consider triangles ΔPQR and ΔSTR
PQ ≅ ST - Given
QR ≅ TR - Given
R is the midpoint of PS - Given
PR ≅ SR - Since R is the midpoint it cuts line PS equally
ΔPQR ≅ ΔSTR - Since the corresponding sides of the triangles are equal, they are congruent triangles.
2) Consider triangles ΔJKL and ΔNKM
JL ≅ NM - Given
K is the midpoint of JN and LM - Given
JK ≅ NK - Since K is the midpoint it cuts line JN equally
LK ≅ MK - Since K is the midpoint it cuts the line LM equally
ΔJKL ≅ ΔNKM - Since the corresponding sides of the triangles are equal, they are congruent triangles.
Therefore we proved that ΔPQR congruent to ΔSTR and ΔJKL is congruent to ΔNKM using the given conditions.
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32% of 120 is 38.4. pls help
Answer:
Step-by-step explanation:
pls finish question first
Solve for the variable. I NEED HELP PLS:) THIS HW IS DUE IN A HOUR
The solution to the variable x is 60/7
How to determine the solution to the variableFrom the question, we have the following parameters that can be used in our computation:
The similar polygons
The scale factor from the big to the small polygon is represented as
Scale factor = 5/7
Using the above as a guide, we have the following:
x = 12 * 5/7
Evaluate
x = 60/7
Hence, the solution is 60/7
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Find the total year costs for 5
years, 10
years, and 15
years for purchasing and renting a house. Then compare your answers to those in the following table.
Length of Time Purchase Home Rent Home
5
years $78,559.20
$54,900.00
10
years $127,118.40
$115,200.00
15
years $175,677.60
$180,900.00
Purchase Home
Total 5-
year cost: $30,000.00+5×12×$809.32=$78,559.20
Total 10-
year cost: $30,000.00+10×12×$809.32=$127,118.40
Total 15-
year cost: $30,000.00+15×12×$809.32=$175,677.60
Rent Home
Total 5-
year cost: (4×12×$900)+(1×12×$975)=$54,900
Total 10-
year cost: (4×12×$900)+(4×12×$975)+(2×12×$1050)=$115,200
Total 15-
year cost: (4×12×$900)+(4×12×$975)+(4×12×$1050)+(3×12×$1125)=$180,1900
Recall the pros and cons of buying a house and which conditions make it better to to purchase a home. Also, think about the pros and cons of renting a house and which conditions make it better to rent. Use this information along with the total costs you found to answer the following prompts. Make sure to write your answer in complete sentences.
Does renting or purchasing makes the most sense for the Bainters if they live in the house 1
year? 5
years? 10
years? 15
years?
For each interval, explain why you think the Bainters should rent or purchase a home. Use mathematical evidence to support your conclusions.
The table makes it abundantly evident that buying costs less than renting does. Buying a house is therefore better over the course of 15 years. By buying a home instead of renting one, you can save $5,222.4.
How are lengths determined?Every object's length can be determined using measuring tools like a ruler, measuring tape, etc. For example, a ruler may be utilized to measure the length in inches of a pencil. A foot scale can be used in a classroom to gauge the heights of the students.
Step 1
Buying a home is more advantageous if someone is looking for somewhere to live for an extended period of time. Second, if a person buys the home, it can be sold at a higher price in the future since rental prices after a specified term and after a few years, say 10 or 15, cumulative rental charges become greater than the initial purchase price.
However, according to the above table, renting a property is preferable if the need for the home is for a shorter duration, like fewer then 5 or 10 years, in order to save money.
Step 2
1 year
The cost for Purchasing a house = 30,000 + 1 × 12 × 809.32 = $39,711.84
The cost of renting a house = 1 × 12× 900 = $10,800
So, it is evident that there's a difference between buying and renting a home of $28,911.84. So, renting a home is preferable.
Step 3
5 year
The cost of purchasing the home for five years is listed as $78559.20, whereas the cost of renting the home for five years was $54,900.
Again, renting is more affordable than buying. By renting a home, one could save $23,659.2 (78559.20-54900).
10 years
The cost of purchasing the home over 10 years is shown as $127,118.40, while the cost of renting the home for 10 years was $115,200.
Renting is less expensive than buying. Yet, buying a house is advantageous if it can be bought or rented out; otherwise, leasing one is advantageous.
Step 4
15 years
The table clearly shows that purchasing is less expensive than renting. Over the period of fifteen years, purchasing a home is therefore preferable. You can save $5,222.4 by buying a house instead of renting one.
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Figure Y is the result of a transformation on Figure X. Which transformation would accomplish this?
The interpretation the transformation that creates the graph is 1 unit to the left and 4 units to the right.
Graph: What is it?The link between lines and points is described by a network's mathematical representation, a graph.
Given, that Figure X was transformed to produce Figure Y.
We must ascertain the transformation that is applied in this case.
The process of changing an existing graph or graphed equation to create a different version of the following graph is known as graph transformation. A vertical reflection crosses the x-axis vertically and a horizontal reflection crosses the y-axis horizontally of a graph.
A graph can be horizontally translated by moving the base graph to the left or right in the y-axis direction.
Just a little bit of a tilt to the left and upward is made to the graph.
Figure X undergoes a translation of translation 1 unit left and 4 units up.
Hence translation 1 unit left, and 4 units up is the transformation which accomplish the graph.
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The complete question is:
Figure Y is the result of a transformation on Figure X. Which transformation would accomplish this?
Oliver started looking for his missing cat at 2:40. If he found it at 6:00, how long did he spend looking?
Answer:
3hours and 40 mins
Step-by-step explanation:
In this isosceles triangle,all the angles are equal what measure of angle x
120
360
We need more information to solve this problem
90
Answer:
D or B
Step-by-step explanation:
from my perspective, that doesn't look like a or b, and it looks like it's 90 degrees. But it could also be "We need more information to solve this problem, due to it all being x. i hope I'm correct, sorry if I'm not, and Goodluck!!!!!
GUYS A NEED HELP WITH THIS ASAP, I have to turn it in tomorrow, can y’all help me pls?? :,(
The values that make the inequality m + 4 > -6 true are -4, 0, and 5.
The values that make the inequality n - 3n ≤ 8 true are -4, 0, and 5.
The values that make the inequality -5 < 5f true are 0 and 5.
The values that make the inequality 7 ≤ -y + 7 true are -10, -4, 0, and 5.
An inequality for the statement "Hank's height (h) is less than or equal to 6 feet." is h ≤ 6.
An inequality for the statement "A magazine (m) cost more than $3.50" is m > $3.50.
An inequality for the statement "The temperature (t) is at least -5 degrees" is t ≥ -5.
How to determine the true values?In this exercise, we would evaluate the given inequalities as follows;
-4 + 4 > -6
0 > - 6 (True).
0 + 4 > -6
4 > - 6 (True).
5 + 4 > -6
9 > - 6 (True).
n - 3n ≤ 8
-4 - 3(-4) ≤ 8
8 ≤ 8 (True).
0 - 3(0) ≤ 8
0 ≤ 8 (True).
5 - 3(5) ≤ 8
-10 ≤ 8 (True).
Generally speaking, the phrase "at least" simply means or represents greater than or equal to and it can be denoted by this inequality symbol (≥).
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The fairy fly is one of the world’s smallest insects. It may measure no more than 1.39×10−4 meter in length. What is the total length of 2 of these insects, placed end to end?
Answer: The length of one fairy fly is 1.39×10−4 meter. To find the total length of two fairy flies placed end to end, we need to add their lengths.
1 fairy fly = 1.39×10−4 meter
2 fairy flies = 2 × 1.39×10−4 meter (adding the lengths of two fairy flies)
= 2.78×10−4 meter
Therefore, the total length of two fairy flies placed end to end is 2.78×10−4 meter.
Step-by-step explanation:
Give one pair of vertical angles and one pair of supplementary angles shown in the figure below.
(a) Vertical angles: [tex]$\angle 5$[/tex] and [tex]$\angle 2$[/tex]
(b) Supplementary angles: [tex]$\angle 3$[/tex] and [tex]$\angle 4$[/tex] (or [tex]$\angle 1$[/tex] and [tex]$\angle 2$[/tex], since they are also a pair of supplementary angles)
What is an angle?A figure created by two lines meeting at the same place is called an angle. The lines that make up the angle are known as its sides, and the point is known as the vertex. Angles are expressed in degrees, ranging from 0 to 360. Angles that are perpendicular to one another when two straight lines connect are known as vertical angles. Angles 1 and 3 in the image below measure 90°, while angles 2 and 4 also measure 90°. Vertical angles have the same measure.
Supplementary angles make up the second set of angles in the figure. Supplementary angles are two angles that sum up to 180°. Angles 1 and 4 and 2 and 3 form extra angle pairs in the illustration below. Angles 1 and 4 are individually 90 degrees, while angles 2 and 3 are also 90 degrees. As a result, the two angle pairs displayed in the illustration are additional angles.
(a) Vertical angles: [tex]$\angle 1$[/tex] and [tex]$\angle 3$[/tex]
(b) Supplementary angles: [tex]$\angle 3$[/tex] and [tex]$\angle 4$[/tex] (or [tex]$\angle 1$[/tex] and [tex]$\angle 2$[/tex], since they are also a pair of supplementary angles)
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x -3,0,5
y- 5,2,-3
Draw the straight line y=2-x
The graph of straight line y = 2 - x with the given points are shown in graph.
What is Line segment?Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.
Given that;
The equation of straight line is,
⇒ y = 2 - x
Now, We have to given that;
Points on the graph are,
x = -3, 0, 5
y = 5, 2, -3
Hence, We can plot the points and join all the points.
We get;
The graph of straight line with the given points as shown in figure.
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The height (in meters) of the arch of a walkway relative to ground level can be modeled by f(x) = -0.05x", 4here * is measured in meters. The function g(x) = R represents the distance (in meters) an engineer plans to raise the walkway. Find and interpret h (x) = / (x) + 8 (x). (3 pts)
Answer:
look in the comments and have a good day
write another ratio that is equivalent to the ratio 4:6
Answer:
2:3 , 8:12
Step-by-step explanation:
Equivalent ratio means, multiply/divide the numerator and the denominator of the fraction with the same number. So, we need to multiply the numerator and the denominator with the same number. Hence, another ratio that is equivalent to 4 : 6 is 8 : 12
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Solve for y. Explain all steps.
y/3 - 8 = -15
Answer:
y = -21
Step-by-step explanation:
Hope this helps! :))