The symmetry of the functions are
Graph 1: NoneGraph 2: AllGraph 3: x-axisHow to determine the symmetry of the functionIn mathematics, the symmetry of a function refers to the property that the function remains unchanged under a certain transformation
Using the above as a guide, we have the following:
Graph 1
Under any transformation, the function would not remain the same when transformed
Graph 2
This function is a circle equation and it would remain the same when reflected or rotated across the axes and the origin
Graph 3
This function would only remain the same when reflected across the x-axis
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Please help!!! see image below!!
Answer:
onomatopoeia
Step-by-step explanation:
Solve the inequality 9> n-2
Answer:
n < 11
Step-by-step explanation:
We must solve for n, first we will rearrange the inequality
n - 2 < 9
n < 9 + 2
n < 11
Answer:
n < 11
Step-by-step explanation:
the domain of discourse is set of male patients in a clinical study. define the following predicates: p(x): x was given the placebo
(a) One patient did not receive the medication.
(b) One patient did not get either the medicine or the placebo.
(c) None of the patients took the drug or experienced migraines (or both).
(d) One patient who received a placebo experienced no migraines.
what is variable?A variable in algebra is an alphabet that is used to symbolize the unknowable integer. It stands in for the value. An amount that can fluctuate depending on the mathematical issue is referred to as a variable. The generic letters x, y, and z are frequently employed in mathematical expressions and equations. A variable, then, is a symbol denoting a number whose value is unknown.
from the question:
(a)
Logical expression: ∀x D(x)
Negation: ¬(∀x D(x))
Applying De Morgan's law: ∃x ¬D(x)
One patient did not receive the medication.
(b)
Logical expression: ∀x (D(x) ∨ P(x))
Negation: ¬(∀x (D(x) ∨ P(x)))
Applying De Morgan's law: ∃x ¬(D(x) ∨ P(x))
Applying De Morgan's law: ∃x (¬D(x) ∧ ¬P(x))
One patient did not get either the medicine or the placebo.
(c)
Logical expression: ∃x (D(x) ∧ M(x))
Negation: ¬∃x (D(x) ∧ M(x))
Applying De Morgan's law: ∀x ¬(D(x) ∧ M(x))
Applying De Morgan's law: ∀x (¬D(x) ∨ ¬M(x))
None of the patients took the drug or experienced migraines (or both)
(d)
Logical expression: ∀x (P(x) → M(x))
Using the conditional identity: ∀x (¬P(x) ∨ M(x))
Negation: ¬∀x (¬P(x) ∨ M(x))
Applying De Morgan's law: ∃x ¬(¬P(x) ∨ M(x))
Applying De Morgan's law: ∃x (P(x) ∧ ¬M(x))
One patient who received a placebo experienced no migraines.
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complete question;
In the following question, the domain of discourse is a set of male patients in a clinical study. Define the following predicates:
P(x): x was given the placebo
D(x): x was given the medication
M(x): x had migraines
Translate each statement into a logical expression. Then negate the expression by adding a negation operation to the beginning of the expression. Apply De Morgan's law until each negation operation applies directly to a predicate and then translate the logical expression back into English.
Sample question: Some patient was given the placebo and the medication.
∃x (P(x) ∧ D(x))
Negation: ¬∃x (P(x) ∧ D(x))
Applying De Morgan's law: ∀x (¬P(x) ∨ ¬D(x))
English: Every patient was either not given the placebo or not given the medication (or both).
(a)Every patient was given the medication.
(b)Every patient was given the medication or the placebo or both.
(c)There is a patient who took the medication and had migraines.
(d)Every patient who took the placebo had migraines. (Hint: you will need to apply the conditional identity, p → q ≡ ¬p ∨ q.)
4 Y 3 5 Z What is the value of the tan ratio for the refernce angle of X? 3/4 5/4 3/5 4/5
The tangent of angle Z is given as follows:
tan(Z) = length of opposite side/length of adjacent side.
What are the trigonometric ratios?The three trigonometric ratios are defined as follows:
Sine of angle = length of opposite side divided by the length of the hypotenuse.Cosine of angle = length of adjacent side divided by the length of the hypotenuse.Tangent of angle = length of opposite side divided by the length of the adjacent side.Hence the tangent for angle Z is given by the ratio between the length of the opposite side to angle Z and the length of the adjacent side to angle Z.
Missing InformationThe problem is incomplete, hence the general procedure to obtain the tangent of angle Z is presented.
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evaluate the trigonometric function.
In response to the query, we have that The Pythagorean identity for theta = 30° is therefore confirmed since sin(30°) + cos(30°) = 1.
what is Pythagorean theorem?The fundamental Euclidean geometry relationship between the three sides of a right triangle is the Pythagorean Theorem, sometimes referred to as the Pythagorean Theorem. This rule states that the areas of squares with the other two sides added together equal the area of the square with the hypotenuse side. According to the Pythagorean Theorem, the square that spans the hypotenuse (the side that is opposite the right angle) of a right triangle equals the sum of the squares that span its sides. It may also be expressed using the standard algebraic notation, a2 + b2 = c2.
This trigonometric identity is valid for all theta values. Because it is connected to the geometry-related Pythagorean theorem, it is known as the Pythagorean identity.
According to Pythagorean theory,
[tex]Cos(theta)^2 + Sin(theta^)2 = 1[/tex]
So, you can easily include that value into the equation and simplify it if you need to assess sin(theta) + cos(theta) for a certain value of theta:
[tex]Cos(theta)2 + Sin(theta)2 = 1\\Sin(2) + Cos(30)\\If theta = 30, then 2(30) = 1.\\(1/2)\\c^2 + (√3/2)\\c^2 = 1 \s1/4 + 3/4 = 1 \s1 = 1[/tex]
The Pythagorean identity for theta = 30° is therefore confirmed since sin(30°) + cos(30°) = 1.
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What is the surface area of the triangular prism?
5 ft
5 ft
4 ft
[Not drawn to scale]
O 60 square feet
O 72 square feet
O82 square feet
3 ft
The surface area of the triangular prism is 72 ft squared.
How to find the surface area of a triangular prism?The surface area of a triangular prism can be found as follows:
Therefore,
surface area of a triangular prism = bh + l(s₁ + s₂ + s₃)
Hence,
b = 4 ft
h = 3 ft
l = 5 ft
s₁ = 4 ft
s₂ = 3 ft
s₃ = 5 ft
Therefore,
surface area of a triangular prism = 4 × 3 + 5(4 + 3 + 5)
surface area of a triangular prism = 12 + 5(12)
surface area of a triangular prism = 12 + 60
surface area of a triangular prism = 72 ft²
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1. Decode the following ASCII code: [2 marks] 1010011 1110100 1100101 1110110 1100101 0100000 1001010 1101111 1100010 1110011
Answer:
The decoded message is: "Steve Jobs".
Step-by-step explanation:
The given code is a sequence of binary digits, which represents the ASCII code of a message in binary form. To decode the message, we need to convert each 8-bit binary sequence into its corresponding ASCII character.
1010011 1110100 1100101 1110110 1100101 0100000 1001010 1101111 1100010 1110011
To decode this message, we split it into 8-bit sequences:
01010011 --> 'S'
01110100 --> 't'
01100101 --> 'e'
01110110 --> 'v'
01100101 --> 'e'
00100000 --> ' '
01001010 --> 'J'
01101111 --> 'o'
01100010 --> 'b'
01110011 --> 's'
Therefore, the decoded message is: "Steve Jobs".
Answer:
The decoded message is: "Steve Jobs"
Step-by-step explanation:
Converting the binary code to ASCII, we get:
01010011 = S
1110100 = t
1100101 = e
1110110 = v
1100101 = e
0100000 = (space)
1001010 = J
1101111 = o
1100010 = b
1110011 = s
So the decoded message is: "Steve Jobs"
----------------
Here are the steps to decode the given binary code:
Break the binary code into groups of 8 digits, as each group represents a single ASCII character.
Convert each group of 8 digits into its corresponding ASCII character using a binary-to-text converter or an ASCII code chart.
Write down the decoded ASCII characters in the order in which they appear in the original binary code.
Let's follow these steps to decode the given binary code:
The given binary code is: 1010011 1110100 1100101 1110110 1100101 0100000 1001010 1101111 1100010 1110011
We break this binary code into groups of 8 digits:
1010011 = 53
1110100 = 74
1100101 = 65
1110110 = 76
1100101 = 65
0100000 = 32
1001010 = 74
1101111 = 111
1100010 = 98
1110011 = 115
We convert each group of 8 digits into its corresponding ASCII character using an ASCII code chart:
53 = S
74 = t
65 = e
76 = v
65 = e
32 = (space)
74 = J
111 = o
98 = b
115 = s
We write down the decoded ASCII characters in the order in which they appear in the original binary code:
Decoded message: "Steve Jobs"
ASCII mean?
ASCII stands for American Standard Code for Information Interchange. It is a character encoding standard that assigns unique numeric codes to represent text characters. The ASCII standard includes codes for uppercase and lowercase letters, digits, punctuation marks, and various other symbols. Each ASCII character is represented by a unique 7-bit binary code, allowing computers and other devices to communicate and display text in a consistent manner. The ASCII standard was first published in 1963 and has since been expanded and updated to include additional characters and support for different languages.
The peaches are priced at three for $2. How much does one dozen cost? Write an equivalent ratio to find the answer. Show your work.
Answer:
12:8
Step-by-step explanation:
3:2
12:x
12÷3=4
2×4=8
12:8
Evaluate the function for the given value. g(x) = 7x + 6
Answer:
g(2) = 20
Step-by-step explanation:
g(x) = 7x + 6 g(2)
g(2) = 7(2) + 6
g(2) = 14 + 6
g(2) = 20
So, the answer is g(2) = 20
The length of a wall in a computer classroom is 15 metres. How many computer desks can be placed side-by-side along the wall if the desk has a length of 70cm and a breadth of 40cm
There will be 21 computer workstations that may be arranged side by side along the wall.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The number of computer desks that can be placed side-by-side along the wall is calculated as,
⇒ (15 x 100) / 70
⇒ 1500 / 70
⇒ 21.42
There will be 21 computer workstations that may be arranged side by side along the wall.
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You would like to retire 25 years from now and have a retirement fund from which you can draw an income of $50,000 per year – forever! How can you do it? Assume a constant APR of 7%. (What balance do you need to earn $50,000 from interest? How can you get to that balance?)
We need a retirement fund balance of $714,285.71 in 25 years to generate an annual income of $50,000 at a constant APR of 7%.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
To generate an income of $50,000 per year forever, we need to create a retirement fund that can generate this income through interest and not deplete the principal amount.
We can use the following formula to calculate the required balance in the retirement fund:
Balance = Annual income / Annual interest rate
The annual income we need is $50,000, and the annual interest rate is 7%, so we can calculate the required balance as:
Balance = $50,000 / 0.07
= $714,285.71
Therefore, we need a retirement fund balance of $714,285.71 in 25 years to generate an annual income of $50,000 at a constant APR of 7%.
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Find the length of the third side. If necessary, write in simplest radical form.
The length of the third side is 9.
Describe Right Angled Triangle?A right-angled triangle is a triangle in which one of its angles is a right angle, meaning it measures exactly 90 degrees (π/2 radians). The other two angles are acute angles, meaning they measure less than 90 degrees.
In a right-angled triangle, the side opposite the right angle is called the hypotenuse. The other two sides are called the legs. The leg opposite to an acute angle is called the opposite side, and the leg adjacent to that angle is called the adjacent side.
The Pythagorean theorem is a fundamental concept in right-angled triangles. It states that the sum of the squares of the lengths of the legs of a right-angled triangle is equal to the square of the length of its hypotenuse. This theorem is often used to calculate the length of one side of a right-angled triangle when the lengths of the other two sides are known.
Let's call the missing side of the right triangle "x". We can use the Pythagorean theorem to solve for x, which states that in a right triangle, the sum of the squares of the two shorter sides (legs) is equal to the square of the length of the longest side (hypotenuse).
So, we have:
x² + 7² = (√130)²
Simplifying:
x² + 49 = 130
x² = 81
Taking the square root of both sides, we get:
x = 9
Therefore, the length of the third side is 9.
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Answer:
The length of the third side of the given right triangle is 9 units.
Step-by-step explanation:
We can use Pythagoras Theorem to find the length of the third side of the given right triangle.
[tex]\boxed{\begin{minipage}{9 cm}\underline{Pythagoras Theorem} \\\\$a^2+b^2=c^2$\\\\where:\\ \phantom{ww}$\bullet$ $a$ and $b$ are the legs of the right triangle. \\ \phantom{ww}$\bullet$ $c$ is the hypotenuse (longest side) of the right triangle.\\\end{minipage}}[/tex]
From inspection of the given right triangle:
[tex]a = 7[/tex][tex]c = \sqrt{130}[/tex]Substitute these values into the formula and solve for the third side, b:
[tex]\implies 7^2+b^2=\left(\sqrt{130}\right)^2[/tex]
[tex]\implies 49+b^2=130[/tex]
[tex]\implies 49+b^2-49=130-49[/tex]
[tex]\implies b^2=81[/tex]
[tex]\implies \sqrt{b^2}=\sqrt{81}[/tex]
[tex]\implies b=9[/tex]
Therefore, the length of the third side of the given right triangle is 9 units.
A sales director for an educational curriculum company shares information about reading proficiency with several regional school districts to inform them of new policies and assist in sales of a new product.
What region and grade should the sales director target as most likely to want a new reading product based on low reading scores and trending?
West region, 8th grade
Northeast region, 8th grade
West region, 4th grade
Northeast region, 12th grade
According to the information, it can be inferred that the region and grade that the sales director should target to offer a new reading product based on low reading scores is West region, 4th grade.
How to select the right conclusion?To select the correct conclusion we must carefully look at the graphs and identify in which regions and grades the reading score rates are low. Based on this information, we can infer that the region and grade with the lowest rates in this area is West region, 4th grade.
Due to the above, the sales manager should focus his sales strategy on new products in this population because there is a high probability that they will buy the products to improve the rates they have.
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Does singing to plants help them grow? You decide to test the effectiveness of your singing prowess on plant growth by singing to six different plants each day for 3 months (it would seem you have nothing better to do with your time). You start each plant with a seed and then count the number of leaves produced at the end of the 3 months. You data looks like this: 1, 2, 4, 5, 7, 11 1.
1. What scale of measurement was used by the researcher?
2. Calculate the mean, median, mode.
3. Calculate the range, variance and standard deviation for the data set using the formula for sample variance and SD.
4. Based on your sample, what is the number of leaves associated with +2SD?
5. What number of leaves are associated with 68% of the sample?
Answer:
The scale of measurement used by the researcher is interval scale as the data is continuous and there are equal intervals between the values.
Mean = (1+2+4+5+7+11)/6 = 5
Median = (4+5)/2 = 4.5
Mode = There is no mode in the data set as none of the numbers are repeated.
Range = maximum value - minimum value = 11 - 1 = 10
Sample Variance = ((1-5)^2 + (2-5)^2 + (4-5)^2 + (5-5)^2 + (7-5)^2 + (11-5)^2)/(6-1) = 14.67
Standard Deviation = sqrt(sample variance) = sqrt(14.67) = 3.83
Mean + 2SD = 5 + 2*3.83 = 12.66, rounded to the nearest integer = 13.
According to the Empirical Rule, 68% of the sample lies within 1 standard deviation of the mean. Therefore, we need to find the values that are 1 standard deviation away from the mean:
Lower limit = Mean - SD = 5 - 3.83 = 1.17, rounded to the nearest integer = 1.
Upper limit = Mean + SD = 5 + 3.83 = 8.83, rounded to the nearest integer = 9.
So the number of leaves associated with 68% of the sample is between 1 and 9.
Step-by-step explanation:
Ms. Curtis Basham grows pears and plums on her
urban homestead. Two years ago she gathered 40
pounds of pears and 12 pounds of plums. The next
year the
pears declined by 25% and the plums
declined by 20%. By what percentage did the total
yield, by weight, of her fruit harvest decline?
A. 22.5%
B. 24%
C. 45%
D. 76%
The percentage did the total yield, by weight, of her fruit harvest declined by approximately 24%, which is option B.
what is percentage ?
Percentage is a way of expressing a number or quantity as a fraction of 100. It is often denoted by the symbol % (percent). For example, 50% means 50 out of 100, or 50/100, or the equivalent fraction 1/2.
Percentages are commonly used in many real-world situations, such as in finance, statistics, and everyday life. They are often used to express changes, differences, or ratios between two values.
According to the question:
To solve this problem, we need to calculate the total weight of fruit harvested in the first year and the total weight of fruit harvested in the second year, and then calculate the percentage decline.
Total weight of fruit harvested in the first year = 40 + 12 = 52 pounds
After a 25% decline, the weight of pears in the second year = 40 - 0.25(40) = 30 pounds
After a 20% decline, the weight of plums in the second year = 12 - 0.20(12) = 9.6 pounds
Total weight of fruit harvested in the second year = 30 + 9.6 = 39.6 pounds
Percentage decline in the total yield of fruit harvest = [(52 - 39.6)/52] x 100% = 23.8%
Therefore, the answer is approximately 24%, which is option B.
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Mary's mom gave her $100.00 to go shopping. She spent $22.65 on a shirt and 3
$33.31 on a skirt. She had a coupon for 10% off. How much change did the cashier give back to her?
The clerk did not give Mary any change, so that is the correct response.
How does discount work?A price decrease from the normal or list amount or a proportional deduction from such a debt account, typically applied in exchange for on-time or cash payments.
The total cost of the shirt and three skirts before the coupon is:
$22.65 + 3($33.31) = $122.58
With the 10% discount, the total cost becomes:
$122.58 - 0.1($122.58) = $110.32
To find out how much change the cashier gave back to Mary, we need to subtract the total cost from the amount of money Mary's mom gave her:
$100.00 - $110.32 = -$10.32
Since the result is negative, it means Mary did not have enough money to pay for her purchases and would have to give the cashier an additional $10.32 to cover the full cost of her shopping.
Therefore, the answer is that Mary did not receive any change from the cashier.
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the rectangle repersents the base of a right rectangular prism. The height of the prism is 6 inches. What is the volume of this prism
Given- The rectangle that represents the base of right rectangular prism
To find - The volume of the prism.
Explanation- we know that the volume of the right rectangular prism is product of area of rectangle and the height
Area of rectangle is [tex](lb)[/tex]
length (l) = 4.2
breadth = 3
area = 4.2×3=12.6
Volume of prism = 12.6 × height =12.6×6=75.6
Hence the volume of the prism is 75.6 in^3
Final answer - The correct option is D.
what is the diameter of a circle with a circumference of 132ft ? Use 22/7 for pie
Answer:
Step-by-step explanation:
The formula for the circumference of a circle is C = πd, where C is the circumference and d is the diameter.
Given that the circumference is 132ft and π is 22/7, we can write:
132 = (22/7)d
To solve for d, we can multiply both sides by 7/22:
132 × 7/22 = d
Simplifying the left side:
42 = d
Therefore, the diameter of the circle is 42 feet.
Answer:
D = 42
Step-by-step explanation:
Formula to find Diameter = [tex]\frac{C}{\pi }[/tex]
D = 132 ÷ [tex]\frac{22}{7}[/tex]
[tex]D = \frac{132}{1}[/tex] × [tex]\frac{7}{22}[/tex]
132 divide 22 = 6
D = 6 × 7
D = 42
A customer at a Mexican diner placed an order for burrito
bowls at $6.50 each. The customer also ordered a plate
of corn tacos at $12.96 and was billed a total of $32.46.
How many burrito bowls did the customer order?
Answer:
x=3
Step-by-step explanation:
Let's assume that the customer ordered x burrito bowls.
The cost of x burrito bowls at $6.50 each is 6.50x.
The cost of the plate of corn tacos is $12.96.
The total cost of the order is $32.46.
So we can set up the equation:
6.50x + 12.96 = 32.46
Subtracting 12.96 from both sides, we get:
6.50x = 19.50
Dividing both sides by 6.50, we get:
x = 3
Therefore, the customer ordered 3 burrito bowls.
How many solutions does the system of linear equations graphed below have?
A. No solution
B. 1 solution
B. Infinitely Many Solutions
Unit 5 Day 4 - Exit Ticket 5.3 - Dividing Polynomials
Perform the operation shown below.
Hint: Shift 6 for exponents and put remainders in (),
Ex. 2x^2+(4/x+2)
(x3+10x2+13x+36)÷(x+9)
We can state that the polynomial [tex]x^3 + 10x^2 + 13x + 36[/tex] is
factored by (x + 9).
the remainder is 0, and the quotient is [tex]x^2 + 9x + 4[/tex]. The outcome can be expressed as
[tex]x^3 + 10x^2 + 13x + 36 = (x^2 + 9x + 4)(x + 9)[/tex]
What are polynomials?Algebraic expressions called polynomials include coefficients and variables. Indeterminates are another name for variables. For polynomial expressions, we can do mathematical operations like addition, subtraction, multiplication, and positive integer exponents but not division by variables.
Poly (which means "many") and Nominal (which means "terms") are the two terms that make up polynomials. An expression that consists of variables, constants, and exponents that are combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable)
From the question:
We use the long division method to divide polynomials.
[tex]x^2 + 9x + 4[/tex]
_____________________________
[tex]x + 9 | x^3 + 10x^2 + 13x + 36 - (x^3 + 9x^2)[/tex]
_________________
[tex]x^2 + 13x - (x^2 + 9x)[/tex]
___________
[tex]4x + 36 - (4x + 36)[/tex]
__________
0
the remainder is 0, and the quotient is [tex]x^2 + 9x + 4[/tex]. The outcome can be expressed as
[tex]x^3 + 10x^2 + 13x + 36 = (x^2 + 9x + 4)(x + 9)[/tex]
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What is the tax on a $40 purchase if sales tax is 5%?
Answer:
Before Tax Price: $40.00
Sale Tax: 5.00% or $2.00
After Tax Price: $42.00
Step-by-step explanation:
Answer:
42 dollars
Step-by-step explanation:
When doing tax problems, we need to memorize the formula of:
price + tax • price = price with sales tax.
This formula works because you have the initial percentage of the cost, with the added tax, which gives the extra value--then added together it gives the sales cost price.
So let's plug our numbers in
40 + (0.05 or 5%) • 40 = price with sales tax
40 + 2 = price with sales tax
42 = price with sales tax
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You might need:
A circle has a circumference of 113.04 units.
I
Calculator
What is the diameter of the circle?
Use 3.14 for π and enter your answer as a decimal.
units
Answer:
36 Units
Step-by-step explanation:
The circumference (C) of a circle is related to its diameter (d) by the formula:
C = πd
We can rearrange this formula to solve for the diameter:
d = C / π
In this case, the circumference of the circle is C = 113.04 units and π is approximately 3.14. Substituting these values into the formula, we get:
d = 113.04 units / 3.14
d ≈ 36 units (rounded to the nearest unit)
Therefore, the diameter of the circle is approximately 36 units.
Answer:36 units
Step-by-step explanation:
A construction company is building a retaining wall. It has a 12-inch piece of stone and then
bricks are stacked on top. Each brick measures 1.5 inches in height and the entire wall must
be at least 60 inches tall. How many rows of bricks will the retaining wall have?
The retaining wall will need to have at least 32 rows of bricks to reach a height of at least 60 inches, not counting the initial 12-inch piece of stone.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The wall needs to be at least 60 inches tall, and we already have a 12-inch piece of stone, so we need to stack enough rows of bricks to reach a height of:
60 inches - 12 inches = 48 inches
Each row of bricks adds 1.5 inches to the height
we can divide the remaining height of 48 inches by the height of each row:
48/1.5 = 32 rows
Therefore, the retaining wall will need to have at least 32 rows of bricks to reach a height of at least 60 inches, not counting the initial 12-inch piece of stone.
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conver 121 pounds into kilograms use 1kg=2.2Ib
round you answer to nearest tenth
Answer:
55 KG
Step-by-step explanation:
To convert pounds to kilograms, we can use the conversion factor 1 kg = 2.2 lbs.So,121 lbs = (121 lbs) * (1 kg/2.2 lbs)Simplifying the expression, we have121 lbs ≈ 55.0 kgRounding to the nearest tenth, we get the final answer:121 lbs ≈ 55.0 kg
Answer:
To convert 121 pounds into kilograms, we can use the conversion factor:
1 kg = 2.2 lb
Dividing both sides of this equation by 2.2, we get:
1 lb = 0.454545 kg (rounded to the nearest tenth, this is 0.5 kg)
Therefore, we can convert 121 pounds to kilograms by multiplying by 0.454545:
121 lb * 0.454545 kg/lb = 54.884545 kg
Rounding this to the nearest tenth gives:
54.9 kg
Therefore, 121 pounds is approximately equal to 54.9 kilograms when rounded to the nearest tenth.
2x-y=-22
y=7x+67
Help me it might be simple but I need an explanation
The solution to the system of linear equations,
2x - y = - 22 and - 7x + y = 67 is x = - 9 and y = 4.
What are the three types of solutions for a system of linear equations?If a system of equations only contains two linear equations with two variables, the system's equation can be graphed, the graph will have two straight lines, and the intersection point(s) of those lines will be the system's solution.
Given, Two linear equations 2x - y = 22 and y = 7x + 67 in two variable 'x' and 'y'.
Arranging the equation in a similar pattern we have,
2x - y = - 22 and - 7x + y = 67.
Now, Adding these two equations +y and -y will cancel out,
So, We have - 5x = 45.
x = - 9, and 2(-9) - y = - 22 ⇒ y = 4.
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A right triangle has side lengths 5, 12, and 13 as shown below.
Use these lengths to find tanB, sin B, and cos B.
In a right triangle, the tangent of an acute angle is the ratio of the length of the opposite side to the length of the adjacent side, the sine of an acute angle is the ratio of the length of the opposite side to the length of the hypotenuse, and the cosine of an acute angle is the ratio of the length of the adjacent side to the length of the hypotenuse.
Using the side lengths given in the problem, we can identify that angle B is the acute angle opposite the side with length 5.
So, we have:
tanB = opposite/adjacent = 12/5
sinB = opposite/hypotenuse = 12/13
cosB = adjacent/hypotenuse = 5/13
Therefore, the values of the trigonometric functions for angle B in this right triangle are:
tanB = 12/5
sinB = 12/13
cosB = 5/13
1.The angles above are examples of___________ angles. (SUPPLEMENTARY OR COMPLEMENTARY)
The value of the missing angle is _____
75
105
90
15
please please help
Therefore , the solution of the given problem of angle comes out to be x = 15° option d is correct.
What does an angle mean?In Euclidean geometry, an angle is a shape made up of two rays, or circular sides, that split at the wall's apex and the wall's apex, which is located at the centre. Two rays can combine at their points to create an angle. Another result of two things interacting is an angle. Dihedral angles are what they are called. Two line beams can be arranged at their edges in a number of ways to form a curve through two dimensions.
Here,
Given :
It is an right angle or we can say 90° angle.
So,
In order to find the value of x :
We can,
=> x + 75 = 90
=> x =90 -75
=> x = 15°
Therefore , the solution of the given problem of angle comes out to be x = 15° option d is correct.
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If ∑X = 4,390 and n= 4, what is M?
O a. 1,097.5
O b. 17,560
O c. need more information
O d. .0100
The mean of the data is 1097.5
What is mean value?A mean in math is the average of a data set, found by adding all numbers together and then dividing the sum of the numbers by the number of numbers. For example, with the data set: 8, 9, 5, 6, 7, the mean is 7, as 8 + 9 + 5 + 6 + 7 = 35, 35/5 = 7.
Mean = summation of item /number of items
summation of item = 4390
number of items = 4
therefore mean = 4390/4
= 1,097.5
therefore the mean if the data is 1,097.5
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Find the value of each expression for a=1/3 b=9 c=5
Answer: Provide the picture if you have one or write out the whole problem
Step-by-step explanation: