Answer:
9 x 9 x 9 x 9 x 9
Step-by-step explanation:
9^5 = 9 x 9 x 9 x 9 x 9
Answer:
it is C
Step-by-step explanation:
You're at a clothing store that dyes your clothes while you wait. You get to pick from 444 pieces of clothing (shirt, pants, socks, or hat) and 333 colors (purple, blue, or orange). If you randomly pick the piece of clothing and the color, what is the probability that you'll end up with an orange hat?
Answer:
Probability of orange hat = 0.0833
Step-by-step explanation:
We have to find the probability of getting an orange hat while we randomly choose from 444 pieces of clothing and 333 colors.
So we have to get hat from the clothing and we have to get orange color from the colors. All shirts , pants , socks and hats are in equal numbers and are 111 each. Also purple, blue and orange are 111 each in number.
The probability of getting hats =
= 0.25
The probability of getting orange = = 0.333
Final probability = 0.25 0.333
= 0.0833
Answer: 1/12
Step-by-step explanation:
I just had khan academy
Solve triangle ABC given:
(a) angle A = 40°, angle B = 60°, b = 8 cm.
(b) a = 4, b = 5, c = 6.
(c) angle B = 104°, a = 17 cm, c = 11 cm.
Answer:
(a) C = 80 a = 5.938cm c = 9.097cm
(b) unsure
(c) b= 22.147cm
A = 48.16 degrees
C = 22.82 degrees
Note angle sum higher than 180 due to rounding inaccuracies
Step-by-step explanation:
(a) <C == 180 - (40 + 60) == 80 (Interior angles on triangle have sum of 180 degrees)
side a = (8*sin(40))/sin(60) == 5.938cm by law of sines
side c = (8*sin(80))/sin(
60) == 9.097cm by law of sines
(b) unsure
(c) b^2 = 17^2 + 11^2 - 2(17)(11)cos(104) --> Law of cosines
b^2 = 289 + 121 - 2(187)cos(104)
b^2 = 400 - -90.479
b^2 = 490.479
b = 22.147 cm
sin(A)/17cm = sin(104)/22.147cm
A = arcsin((17/22.147)*sin(104))
A = 48.16 degrees
sin(C)/11cm = sin(104)/22.147cm
C = arcsin((11/22.147)*sin(104))
C = 28.82 degrees
ALGEBRA HELP PLEASE THANKS Evaluate the expression using exponential rules. Write the result in standard notation. [tex]\frac{4 x 10^{-4} }{20 x 10^{2} }[/tex]
Answer:
[tex]2 \times 10 {}^{ - 7} [/tex]
Step-by-step explanation:
[tex] \frac{4 \times 10 {}^{ - 4} }{20 \times 10 {}^{2} } = \frac{0.0004}{2000} = 2 \times 10 {}^{ - 7} [/tex]
Hope this helps ;) ❤❤❤
A vacation resort rents SCUBA equipment to certified divers. The resort charges an up-front fee of $25 and another fee of $12.50 an hour. How much is it if you rent the SCUBA equipment for 45 minutes
Answer:
34.38
Step-by-step explanation:
45 minutes is 45/60 or .75 of an hour
The up front cost plus the hours times the hourly cost
The cost is 25 + .75 * 12.50
25 +9.375
34.375
Rounding to the nearest cent
34.38
Which of the following is the proper name for the figure below?
A.
AYM
B.
ATM
C.
AYX
D.
ATX
Answer:
Option (D)
Step-by-step explanation:
Endpoints of the sides of any polygon are called as vertices. Any polygon is named by its vertices either in a consecutive order either clockwise or counterclockwise.
In the picture attached,
Vertices of the triangle or endpoints of the sides of the polygon are A, T and X.
Therefore, we can name this triangle as ΔATX, ΔTXA, ΔXAT or ΔXTA, ΔAXT, ΔTAX.
Option (D) will be the answer.
Answer:
d
Hope this help :)
what's the thickness of a rectangle prism with a height of 12 inches, a width of 8 inches and surface area 992 square inches?
Answer:
Thickness of rectangle prism is 20 inches.
Step-by-step explanation:
Given:
Surface area of rectangular prism, A = 992 sq inches.
Height, h = 12 inches
Width, w = 8 inches
To find:
Thickness / length of prism, [tex]l[/tex] = ?
Solution:
First of all, let us learn the formula for surface area of a rectangular prism.
Formula for surface area of a prism is given as:
[tex]A=2(wl+hl+hw)[/tex]
As there are 6 faces, each face is a rectangle and area of all the faces is considered in the formula. It is just like a cuboid like structure.
Putting all the given values in the formula to find the value of [tex]l[/tex]:
[tex]992=2(8l+12l+8 \times 12)\\\Rightarrow 496 = 20l + 96\\\Rightarrow 20 l =496-96\\\Rightarrow 20 l =400\\\Rightarrow l = \dfrac{400}{20}\\\Rightarrow l = 20\ inches[/tex]
So, the answer is Thickness of rectangle prism is 20 inches.
Suppose that you have just been hired at an annual salary of $85,000 and expect to receive an annual raise of 6% per year. What
will be the total amount of money you will have earned after 8 years?
Answer:
$125,800
Step-by-step explanation:
Amount (A) = ?
Principal (P) = $85,000
Rate (r) = 6%
Time (t) = 8 years
Simple interest formula;
A = P(1 + rt)
A = $85,000(1 + 0.48)
A = $125,800
The service life of a battery used in a cardiac pacemaker is assumed to be normally distributed. A random sample of ten batteries is subjected to an accelerated life test by running them continuously at an elevated temperature until failure, and the following lifetimes (in hours) are obtained: 25.5, 26.1, 26.8, 23.2, 24.2, 28.4, 25.0, 27.8, 27.3, and 25.7. The manufacturer wants to be certain that the mean battery life exceeds 25 hours in accelerated lifetime testing.
Construct a 90%, two sided confidence interval on mean life in the accelerated test.
Answer:
The confidence interval is [tex]25.16 < \mu < 26.85[/tex]
Step-by-step explanation:
From the question we are given a data set
25.5, 26.1, 26.8, 23.2, 24.2, 28.4, 25.0, 27.8, 27.3, and 25.7.
The mean of the this sample data is
[tex]\= x = \frac{\sum x_i}{n}[/tex]
where is the sample size with values n = 10
[tex]\= x = \frac{25.5+ 26.1+ 26.8+23.2+ 24.2+ 28.4+ 25.0+ 27.8+ 27.3+ 25.7}{10}[/tex]
[tex]\= x = 26[/tex]
The standard deviation is evaluated as
[tex]\sigma = \sqrt{\frac{\sum (x-\= x)}{n} }[/tex]
substituting values
[tex]= \sqrt{\frac{ ( 25.5-26)^2, (26.1-26)^2, (26.8-26)^2, (23.2-26)^2}{10} }[/tex]
[tex]\cdot \ \cdot \ \cdot \sqrt{\frac{ ( 24.2-26)^2, (28.4-26)^2+( 25.0-26)^2+ (27.8-26)^2+( 27.3-26)^2+( 25.7-26)^2}{10} }[/tex]
[tex]\sigma = 1.625[/tex]
The confidence level is given as 90% hence the level of significance is calculated as
[tex]\alpha = 100 -90[/tex]
[tex]\alpha =10[/tex]%
[tex]\alpha = 0.10[/tex]
Now the critical values of [tex]\frac{\alpha }{2}[/tex] is obtained from the normal distribution table as
[tex]Z_{\frac{\alpha }{2} } = 1.645[/tex]
The reason we are obtaining the critical values of [tex]\frac{\alpha }{2}[/tex] instead of [tex]\alpha[/tex] is because we are considering two tails of the area under the normal curve
The margin of error is evaluated as
[tex]MOE = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
substituting values
[tex]MOE = 1.645 * \frac{1.625 }{\sqrt{10} }[/tex]
[tex]MOE = 0.845[/tex]
The 90%, two sided confidence interval is mathematically evaluated as
[tex]\= x - MOE < \mu < \= x + MOE[/tex]
[tex]26 - 0.845 < \mu < 26 + 0.845[/tex]
[tex]25.16 < \mu < 26.85[/tex]
Given that the lower and the upper limit is greater than 25 then we can assure the manufactures that the battery life exceeds 25 hours
Find the area of the shaded region if the dimensions of the unshaded region are 14ft x 18ft . Use 3.14 for π as necessary. Answer Asap Please! That would be greatly appreciated! PLEASE HELP ME ON THIS ASAP FIRST ANSWER GETS BRAINLIEST
Answer:
867.44 ft²
Step-by-step explanation:
The area of the shaded region is A = 196π + 252.
We have the dimensions of the unshaded region are 14ft x 18ft.
We have to find the area of shaded region.
What is the area of a Rectangle and a Circle?The area of a rectangle is -
A(R) = Length x Breadth = L x B
and the area of Circle is -
A(C) = [tex]\pi r^{2}[/tex]
According to the question -
Dimensions of the unshaded region -
L = 18ft
B = 14ft
Area of the shaded region (A) = Total Area - Area of Rectangle
Total Area = Area of 2 semicircles of radius (7 + 7) 14ft + Area of rectangle of length 18ft and breadth 28ft.
Total Area = ( [tex]2\times \frac{1}{2}\times \pi \times14 \times 14[/tex] ) + ( 18 x 28)
Total Area = 196π + 504
Area of the shaded region (A) = 196π + 504 - 252 = 196π + 252
Hence, the area of the shaded region is A = 196π + 252.
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The population of a certain species of fish has a relative growth rate of 1.1% per year. It is estimated that the population in 2010 was 12 million. a. Find an exponential model n(t)= no e^rt for the population t years after 2010. b. Estimate the fish population in the year 2015. c. After how many years will the fish population reach 14 million? d. Sketch a graph of the fish population.
Answer:
(a) n(t) = P(0)*e^(0.010939940t)
(b) 12,674,681 (nearest unit)
(c) 14 years (nearest year)
Step-by-step explanation:
rate = 1.1% / year = 1.011
(a)
P(0) = 12,000,000 = population in 2010
In compound interest format, after t years
P(t) = P(0)* (1.011)^t
Given format = P(0)* e^(rt)
therefore
e^(rt) = 1.011^t use law of exponents
(e^r)^t = 1.011^t
e^r = 1.011
r = log_e(1.011) = 0.010939940 (to 9 decimal places)
required formula is
n(t) = P(0)*e^(0.010939940t)
(b)
in 2015,
P(0)=12000000, n = 5 (years after 2010)
n(5) = 12000000*e^( 0.010939940 * 5 ) = 12,674,680.6 = 12,674,681 (nearest unit)
(c)
to reach 14 million, we equate
n(t) = 14,000,000
12,000,000 *e^(0.010939940*t) = 14,000,000
e^(0.010939940*t) = 14000000/12000000 = 7/6
take log on both sides
0.010939940*t = log(7/6)
t = log(7/6) / 0.010939940 = 14.091 years = 14 years to the nearest year.
See graph attached. Y-axis is in millions, x-axis is in years.
a) [tex]n(t) = 12e^{0.011t}[/tex]
b) The estimate for the population in 2015 is of 12.7 million.
c) The fish population will reach 14 million after 14 years.
d) The sketch is given at the end of this answer.
------------------------------------
Item a:
The exponential model is:
[tex]n(t) = n(0)e^{rt}[/tex]
In which:
n(0) is the population is 2010.r is the growth rate, as a decimal.Population of 12 million, thus [tex]n(0) = 12[/tex]Growth rate of 1.1%, thus [tex]r = 0.011[/tex].
Thus, the model is:
[tex]n(t) = 12e^{0.011t}[/tex]
Item b:
2015 is 2015 - 2010 = 5 years after 2010, thus this is n(5).
[tex]n(5) = 12e^{0.011(5)} = 12.7[/tex]
The estimate for the population in 2015 is of 12.7 million.
Item c:
This is t for which n(t) = 14, thus:
[tex]n(t) = 12e^{0.011t}[/tex]
[tex]14 = 12e^{0.011t}[/tex]
[tex]e^{0.011t} = \frac{14}{12}[/tex]
[tex]\ln{e^{0.011t}} = \ln{\frac{14}{12}}[/tex]
[tex]0.011t = \ln{\frac{14}{12}}[/tex]
[tex]t = \frac{\ln{\frac{14}{12}}}{0.011}[/tex]
[tex]t = 14[/tex]
The fish population will reach 14 million after 14 years.
Item d:
At the end of this answer, the sketch is given.
A similar problem is given at https://brainly.com/question/23416643
Find the graph of the inequality y>-(1/6)x+1.
Answer:
y > -x/6 + 1
Step-by-step explanation:
Hope this can help
The graph of the inequality [tex]y > -(\frac{1}{6} )x+1[/tex] is option "A" .
What is graph of inequality?The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥.If the symbol ≥ or > is used, shade above the line. If the symbol ≤ or < is used shade below the line.
According to the question
The inequality : [tex]y > -(\frac{1}{6} )x+1.[/tex]
now first we take out points to plot graph for that we will assume inequality to equation
i.e
[tex]y = -(\frac{1}{6} )x+1[/tex]
x y
0 1
6 0
Now , as inequality have > sign
i.e according to the graph of inequality rules:
The boundary line is dashed for > and < and If the symbol ≥ or > is used, shade above the line.
Therefore,
Graph will be option "A" only .
Hence, the graph of the inequality [tex]y > -(\frac{1}{6} )x+1[/tex] is option "A" .
To know more about graph of inequality here:
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The board of directors of Midwest Foods has declared a dividend of $3,500,000. The company has 300,000 shares of preferred stock that pay $2.85 per share and 2,500,000 shares of common stock. After finding the amount of dividends due the preferred shareholders, calculate the dividend per share of common stock.
Answer:
$855,000Dividend per share of common stock = $1.06Step-by-step explanation:
1. Preferred Share dividends.
There are 300,000 preference shares and each of them got $2.85. Total dividends are;
= 300,000 * 2.85
= $855,000
2. Total dividends = $3,500,000
Dividends left for Common Shareholders (preference gets paid first)
= 3,500,000 - 855,000
= $2,645,000
Common shares number 2,500,000
Dividend per share of common stock = [tex]\frac{2,645,000}{2,500,000}[/tex]
= $1.06
(8x - 5)(7x-8)
Find the product
Answer:
x=−3
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 7*x-8-(8*x-5)=0
Pull out like factors : -x - 3 = -1 • (x + 3)
Solve : -x-3 = 0
Add 3 to both sides of the equation : -x = 3
Multiply both sides of the equation by (-1) : x = -3
Answer:
56x^2−99x+40
Step-by-step explanation:
Evaluate (8x−5)(7x−8)
Apply the distributive property by multiplying each term of 8x−5 by each term of 7x−8.
56x^2−64x−35x+40
Combine −64x and −35x to get −99x.
56x^2−99x+40
the sum of two numbers is -26. One number is 148 less than the other. Find the numbers
Answer:
61 and -87
Step-by-step explanation:
If the numbers are x and x - 148, we can write the following equation:
x + x - 148 = -26
2x - 148 = -26
2x = 122
x = 61 so x - 148 = 61 - 148 = -87
Which ordered pair is a solution of this equation 6x-y=-4 . -2,0 -1,-2 -2,-1 0, -2
Answer:
(-1,-2)
Step-by-step explanation:
[tex]6x-y=-4\\y=6x+4\\y=6(-2)+4=-8\\y=6(-1)+4=-2\\y=6(0)+4=4[/tex]
so the only one is (-1,-2)
Which choice is the explicit formula for the following geometric sequence? 0.2, -0.06, 0.018, -0.0054, 0.00162
Answer:
aₙ = 0.2(-0.3)⁽ⁿ⁻¹⁾
Step-by-step explanation:
The geometric sequence with the first term a, a common ratio r has the nth term given as
Tₙ = arⁿ⁻¹
where Tₙ is the nth term
From the given sequence
a = 0.2
r = -0.06/0.2
= -0.3
Hence the nth term
= 0.2 * -0.3ⁿ⁻¹
The right option is E
Answer:
aₙ = 0.2(-0.3)⁽ⁿ⁻¹⁾
Step-by-step explanation:
Which of the following values cannot be probabilities? 3 / 5, , , , , , , 2 5 / 3 1.39 − 0.57 1 0 0.04 Select all the values that cannot be probabilities. A. 0 B. 2 C. 3 5 D. − 0.57 E. 0.04 F. 1.39 G. 5 3 H. 1
Question:
Which of the following values cannot be probabilities? 3 / 5, 2, 5 / 3, 1.39, −0.57, 1, 0, 0.04 Select all the values that cannot be probabilities.
A. 0
B. 2
C. 3 / 5
D. − 0.57
E. 0.04
F. 1.39
G. 5 / 3
H. 1
Answer:
B, D, F, G
Step-by-step explanation:
The probability, P(A), of an event A occurring is given by;
0 ≤ P(A) ≤ 1
This means that the probability of an event happening is always between 0 and 1 (both inclusive).
Therefore;
=> 3 / 5 is a valid probability value as;
0 ≤ 3/5 ≤ 1
=> 2 is NOT a valid probability value as 2 is not within the range 0 and 1
=> 5 / 3 is NOT a valid probability value as 5 / 3 = 1.6667 is not withing the range 0 and 1
=> 1.39 is NOT a valid probability value
=> -0.57 is NOT valid. Probability values are not and cannot be negative.
=> 1 is a valid probability value. This just means that the probability that an event will occur is 100% likely.
=> 0 is a valid probability value. This just means that the probability that an event will occur is 0% likely.
=> 0.04 is valid as;
0 ≤ 0.04 ≤ 1
Write one of the following options next to each of these statements below.
A 'This statement is always true'
B 'This statement is sometimes true'
C 'This statement is never true'
a) When you add two negative numbers the answer is negative. __
b) When you subtract a positive number from a negative
number the answer is negative. __
c) When you subtract a negative number from a positive
number the answer is negative. __
d) When you subtract a negative number from a negative
number the answer is negative. __
Answer:
see answers below
Step-by-step explanation:
A 'This statement is always true'
B 'This statement is sometimes true'
C 'This statement is never true'
a) When you add two negative numbers the answer is negative. _A_
e.g. -4 + -1 = -5
b) When you subtract a positive number from a negative
number the answer is negative. _A_
e.g. -5 - (+4) = -9
c) When you subtract a negative number from a positive
number the answer is negative. _C_
e.g. 5- (-2) = 8 always positive, => never negative
d) When you subtract a negative number from a negative
number the answer is negative. _B_
-2 - (-4) = +2
-2 - (-1) = -1
Area of right triangle with legs of 9 and 12 units
Answer:
54 units^2
Step-by-step explanation:
The formula to find the area of a right triangle is bh/2.
Plug the values in.
9*12/2
Multiply.
108/2
Divide.
52
The area is 54 units squared.
Answer: 54u²
Step-by-step explanation:
The area of a triangle is 1/2bh
1/2bh
1/2(12)(9)
(6)(9)
54
Hope it helps <3
the angle between two plane is 3x+2y-z=7 and x-4y+2z=0 is
Answer: 114°
Step-by-step explanation:
[tex]\overrightarrow{u}=\bigg<3, 2, -1\bigg>\\\\\overrightarrow{v}=\bigg<1,-4,2\bigg>\\\\\\u\cdot v=3(1)+2(-4)+\ -1(2)\quad =-7\\\\|u|=\sqrt{3^2+2^2+(-1)^2}\quad =\sqrt{14}\\\\|v|=\sqrt{1^2+(-4)^2+2^2}\quad =\sqrt{21}\\\\\\\cos\theta=\dfrac{u\cdot v}{|u|\ |v|}\\\\\\\cos\theta=\dfrac{-7}{\sqrt{14}\cdot \sqrt{21}}\\\\\\\cos\theta=\dfrac{-1}{\sqrt6}\\\\\\\large\boxed{\theta=114^o}[/tex]
Two functions can be linked together by using the output of the first function
as the input of the second function. Which term describes this process?
A. Input/output
B. Relation
C. Domain
D. Composition
Answer: Option D, composition.
Step-by-step explanation:
In a function f(x) = y
x is the input, and the set of the possible values of x is called the domain.
y is the output, and the possible values of y is called the range.
Now, if we have two functions:
f(x) = y
g(x) = y.
we can define the composition of functions as: using the output of one function as the input of the other function, we can write this as:
f( g(x)) or fog(x)
In words, first we evaluate the function g in the point x, and the output of that is used as the input for the function f.
Then, the correct option here is D, composition.
if f(x)=3x+7 what is f(2)
Answer:
13
Step-by-step explanation:
f(x) = 3x + 7
f(2) = 3(2) + 7
f(2) = 6 + 7
f(2) = 13
Y + 1 1/6 = 7 5/6 what is Y
Answer:
6[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
y + 1[tex]\frac{1}{6}[/tex] = 7[tex]\frac{5}{6}[/tex]
y + [tex]\frac{7}{6}[/tex] = [tex]\frac{47}{6}[/tex]
y = 40/6 = 20/3 = 6[tex]\frac{2}{3}[/tex]
12. A veterinarian will prescribe an antibiotic to a dog based on its weight. The effective dosage of the antibiotic is given by d ≤ 1∕5w2, where d is dosage in milligrams and w is the dog's weight in pounds. Which of the following graphs displays the effective dosage of the antibiotic?
Answer:
Graph C. See explanations below.
Step-by-step explanation:
Looking for graph corresponding to d <= (w^2)/5
Take the third graph, which has a solid line (to correspond to the inequality <=, or less than or equal to).
For a dog's weight of 10 lb, the corresponding dose is 20 mg = 10^2/5
for 20 lb, dose = 80 mg (=20^2/5)
...
For 40 lb, dose = 320 mg (=40^2/5).
So this is the correct graph.
The fourth (d) is similar. But the dotted line eliminates the equality in
d <= w^2/5
so not correct.
Olivia, a golfer, claims that her drive distance is more than 174 meters, on average. Several of her friends do not believe her, so she decides to do a hypothesis test, at a 10% significance level, to persuade them. She hits 15 drives. The mean distance of the sample drives is 188 meters. Olivia knows from experience that the standard deviation for her drive distance is 14 meters. H0: μ=174; Ha: μ>174 α=0.1 (significance level) What is the test statistic (z-score) of this one-mean hypothesis test, rounded to two decimal places?
Answer:
3.87
Step-by-step explanation:
The computation is shown below:
Data provided in the question
mean distance = [tex]\bar x[/tex] = 188 meters
Standard deviaton = [tex]\sigma = 14[/tex]
Hits drivers = 15
The distance = 174 meters
H_0: μ≤174;
H_a: μ>174
Based on the above information, the test statistic z-score is
[tex]z = \frac{\bar x - \mu }{\sigma / \sqrt{n} } \\\\ = \frac{188 - 174}{\ 14 / \sqrt{15} }[/tex]
= 3.87
Hence, the test statistic is 3.87
Note:
We take the μ≤174 instead of μ=174;
The Kamp family has twins, Rob and Rachel. Both Rob and Rachel graduated from college 2 years ago, and each is now earning $50,000 per year. Rob is an engineer. The mean salary for engineers with less than 5 years’ experience is $60,000 with a standard deviation of $5,000. Rachel works in the retail industry, where the mean salary for executives with less than 5 years’ experience is $35,000 with a standard deviation of $8,000.
Compute the z values for both Rob and Rachel and comment on your findings.
Answer:
z-value of rachel = 1.875
z-value of rob = -2
z-value of Rachel is more than that of rob. Thus rob is earning below average and rachel is earning above average.
Step-by-step explanation:
Let's denote the salary of Rob and Rachel per year by X. So, X = $50,000
We are told that;
For Rachel's industry;
Mean salary;μ1 = $35,000
Standard deviation;σ1 = $8,000
For Rob's industry;
Mean salary;μ2 = $60,000
Standard deviation;σ2 = $5,000
Formula for z - value is;
z = (X - μ)/σ
Thus;
z-value for rob is;
z2 = (X - μ2)/σ2
z2 = (50000 - 60000)/5000
z2 = -2
z-value for rachel is;
z1 = (X - μ1)/σ1
z1 = (50000 - 35000)/8000
z1 = 1.875
z-value of Rachel is more than that of rob. Thus rob is earning below average and rachel is earning above average.
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Consider the equation below. -2(bx-5) = 16 the value of x in terms of b is. The value of x when b is 3 is.
The value of x in terms of b is x = [tex]\frac{-3}{b}[/tex]. Therefore the value of x when b = 3 is x = [tex]\frac{-3}{3}[/tex] = -1.
We can find both answers by rearranging the equation to get "x =", and then substituting in 3 for b:
-2(bx - 5) = 16
-2bx + 10 = 16
- 10
-2bx = 6
÷ -2
bx = -3
÷ b
x = -3/b, which is the answer to the first part.
To get the second answer, we just substitute b = 3 into this equation and we get:
x = -3/b = -3/3 = -1
I hope this helps!
The value of x in terms of b is x = -3/b. Therefore, the value of x when b = 3 is x = -1.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We need to find both answers by rearranging the equation to get "x =", and then substituting in 3 for b:
-2(bx - 5) = 16
-2bx + 10 = 16
-2bx = 6
bx = -3
x = -3/b,
Now we just substitute b = 3 into this equation and we get:
x = -3/b = -3/3 = -1
The value of x in terms of b is x = -3/b.
Therefore, the value of x when b = 3 is x = -1.
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Please can anyone tell me how too solve this question, thank you.
If a 15 foot ladder reaches 14 feet up a building, what angle does the ladder make with the ground? (to the nearest WHOLE DEGREE)
Answer:
x = 69°
Step-by-step explanation:
In the picture attached,
Length of the ladder = 15 ft
This ladder reaches the height of a building = 14 ft
We have to find the measure of angle formed between the base of the ladder and the ground.
By applying Sine rule in the right triangle formed,
sin(x)° = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
sin(x)° = [tex]\frac{14}{15}[/tex]
x = [tex]\text{sin}^{-1}(\frac{14}{15})[/tex]
x = 68.96°
x ≈ 69°
An airplane descends during the last hour of it's flight to prepare for landing. It's altitude changes at an average of -0.15 km per minute for those 60 minutes. (What is the product) How does the elevation of the airplane change in that hour? The elevation of the airplane _________ by ______ km. increases 60 decreases 9 0.15
WILL GIVE BRAINLIEST, THANKS AND FIVE STARS
Answer:
The elevation of the airplane decreases by 9 km.
Step-by-step explanation:
We use the distance-rate-time formula: d = rt.
Here, the rate is r = 0.15 km/min and the time is t = 60 min. Simply plug these into the formula:
d = rt
d = 0.15 * 60 = 9 km
So, the change in elevation in the last 60 minutes is 9 km. However, note that the rate is negative (-0.15 km/min), which means that the elevation actually is decreasing.
Thus, the answer is: the elevation of the airplane decreases by 9 km.
~ an aesthetics lover
Answer:
The elevation of the airplane _decrease_ by __9____ km
Step-by-step explanation:
Take the rate and multiply by the time to get the distance traveled
-.15 km per minute * 60 minutes
- 9 km
The plane will go down 9 km in that 60 minutes