Considering the volume of the rectangular prism, it is found that it's height is of 4.5 ft.
What is the volume of a rectangular prism?The volume of a rectangular prism of length l, width w and height h is given by:
[tex]V = lwh[/tex]
In this problem, the measures given are as follows:
l = 13 ft, w = 16 ft, V = 936 ft³.
Hence, the height, in ft, is found as follows:
[tex]V = lwh[/tex]
[tex]13 \times 16 \times h = 936[/tex]
[tex]h = \frac{936}{13 \times 16}[/tex]
[tex]h = 4.5[/tex]
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What does the correlation coefficient of -0.975 on a linear regression indicate?
A.
The slope is positive.
B.
One variable causes the other.
C.
The scatterplot shows no association of the variables.
D.
One variable has a strong relationship with the other.
A correlation coefficient of -0.975 on a linear regression indicates: D. One variable has a strong relationship with the other.
What is Correlation Coefficient?Correlation coefficient, r, is a measure of how strong the relationship between two variables is.
A correlation coefficient, r, that is closer to 1 or -1 signifies a strong relationship between two variables and vice versa.
Therefore, a correlation coefficient of -0.975 on a linear regression indicates: D. One variable has a strong relationship with the other.
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Please help me with this- 20 pts!
Answer:
the pic is hard to see...
Answer:
[tex]part \: a. \\ ans \: is \: x = log_{2}( \frac{5000}{300} )[/tex]
[tex]part \: b. \\ ans \: is \: x = log_{2}( \frac{50}{3} ) = 4.1 \: min[/tex]
A block is 20 cm long 12 cm wide and 5cm high Find the volume of 40 such blocks
Answer:
Find the volume of a concrete block that is 2.5 metres long,. 12 centimetres wide and. 10 centimetres high. Two of the dimensions, the width and height,
Answer:
480,000 cm3
Step-by-step explanation:
give crown please ( brainliest )
Hello, could anyone please help me with my homework?
Solve for t.
[tex]\mathrm{20=100(\displaystyle\frac{1}{2}) ^{\displaystyle\frac{t}{214} } }[/tex]
Please help!
No spam!
Thank you in advance. :)
Answer: See below
Step-by-step explanation:
[tex]100\left(\frac{1}{2}\right)^{\frac{t}{214}}=20[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}100[/tex]
[tex]\frac{100\left(\frac{1}{2}\right)^{\frac{t}{214}}}{100}=\frac{20}{100}[/tex]
[tex]Simplify[/tex]
[tex]\left(\frac{1}{2}\right)^{\frac{t}{214}}=\frac{1}{5}[/tex]
[tex]\mathrm{If\:}f\left(x\right)=g\left(x\right)\mathrm{,\:then\:}\ln \left(f\left(x\right)\right)=\ln \left(g\left(x\right)\right)[/tex]
[tex]\ln \left(\left(\frac{1}{2}\right)^{\frac{t}{214}}\right)=\ln \left(\frac{1}{5}\right)[/tex]
[tex]\mathrm{Apply\:log\:rule\:}\log _a\left(x^b\right)=b\cdot \log _a\left(x\right)[/tex]
[tex]\ln \left(\left(\frac{1}{2}\right)^{\frac{t}{214}}\right)=\frac{t}{214}\ln \left(\frac{1}{2}\right)[/tex]
[tex]\frac{t}{214}\ln \left(\frac{1}{2}\right)=\ln \left(\frac{1}{5}\right)[/tex]
[tex]\frac{\ln \left(\frac{1}{2}\right)t}{214}=\ln \left(\frac{1}{5}\right)[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}214[/tex]
[tex]\frac{214\ln \left(\frac{1}{2}\right)t}{214}=214\ln \left(\frac{1}{5}\right)[/tex]
[tex]-\ln \left(2\right)t=-214\ln \left(5\right)[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-\ln \left(2\right)[/tex]
[tex]\frac{-\ln \left(2\right)t}{-\ln \left(2\right)}=\frac{-214\ln \left(5\right)}{-\ln \left(2\right)}[/tex]
[tex]t=\frac{214\ln \left(5\right)}{\ln \left(2\right)}[/tex] or [tex]\mathrm{Decimal}:\quad t=496.89261\dots[/tex]
Answer:
[tex]\sf t= 496.9[/tex]
solving steps:
[tex]\rightarrow \sf 20=\:100\left(\dfrac{1}{2}\right)^{\dfrac{t}{214}}[/tex]
[tex]\sf \bold{divide \ both \ side \ by \ 100}[/tex]
[tex]\hookrightarrow \sf \dfrac{1}{5} =\:\left(\dfrac{1}{2}\right)^{\dfrac{t}{214}}[/tex]
[tex]\sf \bold{apply \ exponent \ rules}[/tex]
[tex]\hookrightarrow \sf ln(\dfrac{1}{5}) = ln(\:\left(\dfrac{1}{2}\right)^{\dfrac{t}{214}})[/tex]
[tex]\sf \bold{simplify}[/tex]
[tex]\hookrightarrow \sf ln(\dfrac{1}{5}) = \dfrac{t}{214} ln\:\left(\dfrac{1}{2}\right)}[/tex]
[tex]\hookrightarrow \sf \dfrac{ln(\dfrac{1}{5}) }{ln(\dfrac{1}{2})\right)}} = \dfrac{t}{214}[/tex]
[tex]\hookrightarrow \sf \dfrac{214 \ ( \ ln(\dfrac{1}{5}) \ ) }{ln(\dfrac{1}{2})\right)}} = {t}[/tex]
[tex]\hookrightarrow \sf t= 496.9[/tex]
This composite figure is made up of three simpler shapes. What is the area of
the figure?
2 cm
6 cm
8 cm
4 cm
10 cm
A. 94 square centimeters
B. 47 square centimeters
C. 100 square centimeters
D. 70 square centimeters
Answer:
a. 94 square centimeters
Step-by-step explanation:
some PLEASE help me!! If y = x^2 e^x, then dy/dx =
Answer:
option c
Step-by-step explanation:
if y= x^2 e^x then the derivative is x^2 * e^x + e^x * 2x
take e^x and x as commom so we get e^x * x ( x+2)
54% of people do not have a home phone, if there are 842 people in a small town, how many people does not have a home phone
Answer:
454 people dont have a home phone
Step-by-step explanation:
842/100=8.42
8.42×54= 454.68
you cant have .68 of a person so its 454
Answer:
Please see below.
Step-by-step explanation:
100% = 842
50% = 421
10% = 84.2
1% = 8.42
4% = 33.68
54% = 454.68
You can round up or down to 454 or 455.
Please let me know if I'm incorrect!
PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!
You subtract the lowest point from the highest point.
Lowest Point = 6 because the lowest y value the graph reaches is 6
Highest point is 12
12 - 6 = 6.
This is the positive difference in feet (because the graph already states on the left column that the values are depth in feet) between the greatest water depth and least water depth in the graph.
triangle ABC is similar to triangle JKL
solve for a
Answer:
a = j
Step-by-step explanation:
because a and j are written in the same place they are the same
What is the missing number in this pattern?
10,
11,
21,
32,
53,
85,
138,
223,
One criterion that we can use to analyze patterns is to look at the difference between consecutive terms. With this, we will see that the missing number is 361.
For the first two we have:
11 - 10 = 1
for the second and third:
21 - 11 = 10
for the fourth and third:
32 - 21 = 11
for the fifth and fourth:
53 - 32 = 21
We already can see the pattern, the n-th term can be written as:
Aₙ = Aₙ₋₁ + Aₙ₋₂
This means that the missing number, the next one, will just be equal to the sum of the two previous ones.
Then the next number is:
N = 138 + 223 = 361
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If y:28=5:7, find y
Answer:
y = 20
Step-by-step explanation:
[tex]y : 28 = 5 : 7 \\ \\ \frac{y}{28} = \frac{5}{7} \\ \\ y = \frac{5 \times 28}{7} \\ \\ y = 5 \times 4 \\ \\ y = 20[/tex]
Given m||n, find the value of x.
PLEASE ANSWER ASAP
WILL GIVE BRAINLIEST
You are trying to order 14 pound of saffron, but the ordering system wants a decimal. What should you type in?
Answer:
1.4x10^1
Step-by-step explanation:
1.4 multiplied by 10 to the power of 1 is 14
You could also just put in 14.0 because that is also a decimal
Hope this helped!
Answer:
1.4
Step-by-step explanation:
The weights of 2-pound bags of best dog food are approximately normally distributed with a given mean mu and standard deviation sigma. according to the empirical rule, what percentage of the bags will have weights within 3 standard deviations of the mean? 47.5% 68% 95% 99.7%
The approximately 99.7% of the bags will have lengths within 3 standard deviations.
We have given that the weights of 2-pound bags of best dog food are approximately normally distributed with a given mean and standard deviation.
What is the empirical rule for a normal distribution?The empirical rule for a normal distribution states that approximately all of the data falls within 3 standard deviations of the mean.
So the approximately 68% data falls within 1 standard deviation of the mean.
and the approximately 95% of data falls within 2 standard deviation of the mean.
Now the approximately 99.7% data falls within 3 standard deviation of the mean.
As the weights of 2-pound bags of best dog food are normally distributed,
Therefore, approximately 99.7% of the bags will have lengths within 3 standard deviations of the mean and option D is the correct choice.
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Answer:
option d
Step-by-step explanation:
37 = 78
=
=
=
=
OB
OA. () ° = 73.73.75 = 7.(1 +3 + ) = 7.5 = 7.1 = 7
O B. (73) – 73.78.7) = 7.7) = 3-1.7 = 1.7 = 7
OC (-1) = 73.78.7= 73+3+= 78 = 72 = 7
OD. (-)' = 78.78.74 = 73.3.1 = 78 = 72 = 7
O
=
=
Answer:
C
Step-by-step explanation:
When we multiply numbers of the same base regardless of the exponent, we add the exponents together.
So,
[tex]2 {}^{x} \times 2 {}^{y} = 2 {}^{x + y} [/tex]
Similarly for this case multiplying the 3 7's ^1/3 would simply mean we are adding 3 1/3's together, to get 7^3/3, which is essentially 7^1=7
find the 2 and the 4
Answer:
101°
Step-by-step explanation:
angle 5 = angle 3(interior alternate angles)
so angle 2 = 101
angle 2=angle 4 = 101°(vertically opposite angles)
PLS HELP ILL GIVE 16 points
find x. thank you !!
Answer:
use Pythagoras theorem to get the x
Which of the following are equivalent to 5m(m+3) - 2m? Choose all that apply.
Answer:
-]$1784_- ₱14200
Step-by-step explanation:
dimentional fence
David's new truck can hold up to 26 gallons of gasoline. David's fuel display shows he has 9.4 gallons left before the tank is empty. David purchases gasoline for for $2.35 per gallon to fill his truck to capacity. How many gallons of gasoline does David purchase?
Answer:
39.01
Step-by-step explanation:
26 - n = 9.4
26 - 9.4 = n
n = 16.6
If you need the cost of all the gallons it costs $39.01
Please answer 20 points
Answer:
16.77ft
Step-by-step explanation:
pls help lots of points!
Answer: the answer is number 4
Step-by-step explanation:44444
\444444444444444444444
Answer: its the third one
Step-by-step explanation: im preety sure thats it
insert four arithmetic means between -1 and 14
Answer:
The arithmetic means are;
6.5 , 2.75, 4.125 , 4.8125
Step-by-step explanation:
We start by finding the mean of the two numbers;
(14-1)/2 = 13/2 = 6.5
Next;
(-1 + 6.5)/2 = 5.5/2 = 2.75
Next
(2.75 + 5.5)/2 = 4.125
Next;
(4.125 + 5.5)/2 = 4.8125
Can someone help me on this question? I Just need help with the 3rd question. Use the word bank below to answer. I’ll mark you brainliest if you answer soon!!!
Answer:
Transitive Property
Step-by-step explanation:
Let's define the following word bank answer choices:
Complementary Angles ⇒ Angles that add up to 90 degree
Vertical angles ⇒ pair of opposite angles formed by intersecting lines
Reflexive Property ⇒ equality states that a number is always equal to itself
Transitive Property ⇒ All real numbers x ,y, and z, if x=y and y=z , then x=z.
Solve:
Base on the given we know that it not complementary angles because it doesn't form 90 degree (right angle).
We Also know that it not vertical angles because it doesn't shows angles opposite each other where two lines cross.
In addition, the given doesn't shows If a is a number, then. a = a. a=a.
Thus, Transitive Property is the answer.
[RevyBreeze]
An airline wants to survey customers about their overall satisfaction. They take a random sample of 1,000 complete the survey a $25 gift card that can be used almost anywhere.
Which is the answer!!!
The best example of nonresponse bias from the scenario of this airline surveying customers is that Satisfied customers might be less likely to complete the survey than dissatisfied customers.
What is nonresponse bias?Nonresponse bias refers to a situation that arises where people are less inclined to provide feedback because their experience was different from those who did.
Satisfied customers would be less inclined to talk about their overall satisfaction than unsatisfied customers as the latter would use the opportunity to make their dissatisfaction known.
Find out more on nonresponse bias at https://brainly.com/question/25116315.
A barrel with a 60 liter capacity is half full. We can transfer all that liquid into 240 bottles with a quarter liter of capacity.
True False
[tex]\frac{1}{4}[/tex]Answer:
False
Step-by-step explanation:
A barrel with a 60 liter capacity is half full, therefore there are 30 liters in the barrel.
If we use 240 bottles with a capacity of 1/4 liters, how many liters do we need to fill the 240 bottles?
240 x [tex]\frac{1}{4}[/tex]L = [tex]\frac{240}{4}[/tex] = 60L
Therefore, it is false because we only have 30 liters, we can't fill the 240 bottles
the vertex of a parabola is located at (-2,5). If the parabola has a y-intercept of -27, which quadratic function represents the parabola in standard form? y=a(x-p)^2 +q
Answer:
f(x) = -8(x + 2)² + 5Step-by-step explanation:
y = a(x - p)² + q - the vertex form of an equation of a parabola with a vertex (p, q)
(-2, 5) ⇒ p = -2, q = 5
y = a(x + 2)² + 5 - the vertex form of an equation of the parabola with vertex (-2, 5)
y-intercept of -27 means x=0, y=-27
-27 = a(0 + 2)² + 5
-27 -5 = a(2)² + 5 -5
-32 = 4a
a = -8
The equation of the parabola in vertex form that has a vertex (-2, 5) and y-intercept of -27:
f(x) = -8(x + 2)² + 5
2. E
Kim baked 20 cookies. Her friend Amy
ate 4 cookies, and her brother ate 2
of the cookies. Which expression can
Kim use to find out how many cookies
are left?
a.
a.
20+ (4 + 2)
b. 20 - (4 + 2)
(20 - 4) + 2
d. 20 - (4-2)
b.
C.
d.
Answer:
20-(4+2)
Step-by-step explanation:
So since they are eating, they are taking away, or subtracting.
Answer:
20 - (4 + 2)
Step-by-step explanation:
The original amount is 20.
The number of cookies left is the original amount minus the amount that was eaten.
Amy ate 4 cookies.
Her brother ate 2 cookies.
Amount that was eaten: 4 + 2
Amount left = original amount - amount that was eaten
amount left = 20 - (4 + 2)
What two numbers that multiply -30 and add up to -1
Answer: 7
Step-by-step explanation:
1x2x3x4x5x6x7x8x9x10
first to answer gets brainliest
Answer:
3628800
Step-by-step explanation:
The product of the numbers 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 is 3,628,800.
1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10
Step 1: Multiply 1 by 2:
1 x 2 = 2
Step 2: Multiply the result by 3:
2 x 3 = 6
Step 3: Multiply the result by 4:
6 x 4 = 24
Step 4: Multiply the result by 5:
24 x 5 = 120
Step 5: Multiply the result by 6:
120 x 6 = 720
Step 6: Multiply the result by 7:
720 x 7 = 5040
Step 7: Multiply the result by 8:
5040 x 8 = 40,320
Step 8: Multiply the result by 9:
40,320 x 9 = 362,880
Step 9: Multiply the result by 10:
362,880 x 10 = 3,628,800
Therefore, the product of the numbers 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 is 3,628,800.
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