I WILL GIVE YOU A BRILLIANT
Jessica's hamster cage is shaped like a rectangular prism. The cage has a height of 24 inches and a volume of 6,480 cubic inches. Jessica puts a piece of paper on the bottom of the cage. The paper fits the bottom of the cage perfectly.

What is the area of the paper on the bottom of the cage?

Enter your answer in the box.

in²

Answer:

The answer is C, r = -0.83

Step-by-step explanation:

The graph has a negative slope, and the correlation between the points isn't super spread out. Therefore, the answer must be C because A and B are for positive slopes and D would be used for a graph with less correlation.

The correlation coefficient best matches the graph. The answer is C,

r = -0.83.

We have given that,

A) r = 0.91

B) r = 0.34

C) r = -0.83

D) r = -0.25

We have to determine the best matches graph.

The correlation coefficient is the specific measure that quantifies the strength of the linear relationship between two variables in a correlation analysis.

The graph has a negative slope, and the correlation between the points isn't super spread out.

Therefore, the answer must be C because A and B are for positive slopes and D would be used for a graph with less correlation.

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Answer:

92 are the value of x I think

Answer:

d

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

See below table

Step-by-step explanation:

[tex]\begin{array}{cccccccc}p&q&r&\sim q&\sim q\rightarrow p&r\vee(\sim q\rightarrow p)&\sim p&[r\vee (\sim q\rightarrow p)]\rightarrow \sim p\\ \\ \\ \\T&T&T&F&T&T&F&F\\ \\T$&T&F&F&T&T&F&F\\ \\T&F&T&T&T&T&F&F\\ \\T&F&F&T&T&T&F&F\\ \\ \\ \\F&T&T&F&T&T&T&T\\ \\F&T&F&F&T&T&T&T\\ \\F&F&T&T&F&T&T&T\\ \\F&F&F&T&F&F&T&T\end{array}[/tex]

Answer:

?

Step-by-step explanation:

Answer:

Part 1) [tex]f(g(x))=3(x^2)+2[/tex]

Part 2) [tex]g(f(5))=289[/tex]

Step-by-step explanation:

we know that

A composite function is a function that depends on another function. A composite function is created when one function is substituted into another function

we have

[tex]f(x)=3x+2[/tex]

[tex]g(x)=x^{2}[/tex]

Part 1) Determine f(g(x))

To find f(g(x)) substitute the function g(x) as the variable in function f(x)

so

[tex]f(g(x))=3(x^2)+2[/tex]

Part 2) Determine g(f(x))

To find g(f(x)) substitute the function f(x) as the variable in function g(x)

so

[tex]g(f(x))=(3x+2)^2[/tex]

For x=5

[tex]g(f(5))=(3(5)+2)^2[/tex]

[tex]g(f(5))=289[/tex]

Answer:

−6y+13

Step-by-step explanation:

jsjsdjidedhue

Answer:

NM and FG

Step-by-step explanation:

To make sure the triangles are congruent by SAS, Ebony needs to compare the lengths of two sides and the measure of the included angle of the triangles.

In order to make sure the triangles are congruent by SAS (Side-Angle-Side), Ebony would need to compare the lengths of two sides and the measure of the included angle of the triangles.

Specifically, Ebony would need to compare:

If the length of segment EF is equal to segment ON and the measure of ∠MON is equal to ∠GEF, then the triangles will be congruent by the SAS postulate.

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slope = difference in y/difference in x

Substitute values in:

slope = (1 - 9)/(-2- (-9)

slope = -7/7

slope = -1

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Answer: -6.5x+4.4

Step-by-step explanation:

The first five terms of sequence is 4.5, -27, 162, -972, 5832

Solution:

Given that we have to find first five terms of recursive sequence

Given sequence is:

[tex]a_n = -6a_{n - 1}[/tex]

To find first five terms, substitute n = 2, 3, 4, 5

First term is given = [tex]a_1[/tex] = 4.5

Find second term:

Substitute n = 2 in given sequence

[tex]a_2 = -6a_{2 - 1}\\\\a_2 = -6a_1\\\\a_2 = -6(4.5) = -27[/tex]

Thus second term of given sequence is -27

Find third term:

Substitute n = 3 in given sequence

[tex]a_3 = -6a_{3-1}\\\\a_3 = -6a_2\\\\a_3 = -6(-27) = 162[/tex]

Thus third term of given sequence is 162

Find fourth term:

Substitute n = 4 in given sequence

[tex]a_4 = -6a_{4-1}\\\\a_4 = -6a_3\\\\a_4 = -6(162) = -972[/tex]

Thus fourth term of given sequence is -972

Find fifth term:

Substitute n = 5 in given sequence

[tex]a_5 = -6a_{5-1}\\\\a_5 = -6a_4\\\\a_5 = -6(-972) = 5832[/tex]

Thus the first five terms of sequence is 4.5, -27, 162, -972, 5832

Answer:

θ= 30° or θ= 60°

Step-by-step explanation:

Please see attached picture for full solution.

Since √ 3/2 is positive, look at first 2 quadrant. (CAST diagram)

Answer:

No! {-2, 1} is not a solution set to the given equation.

Step-by-step explanation:

The statement  X squared take away 2X Takeaway three equals X take away one can be written in mathematical terms as follows:

X² - 2X - 3 = X - 1

⇒ X² - 2X - 3 - X + 1 =0

⇒ X² - 3X - 2 = 0

Now, substitute x= -2 and see if the equation is satisfied.

⇒ (-2)² -3(-2) - 2 = 4 + 6 - 2

= 8 ≠ 0

So, -2 is not a solution to the equation.

Now, check for x = 1.

⇒ (1)² - 3(1) - 2 = 1 - 3 - 2

= -4 ≠ 0

⇒ x = 1 is not a solution as well.

Answer:

Infinitely many

Step-by-step explanation:

Answer:number 3

Step-by-step explanation:

Answer:

The initial height from which the ball was dropped = 7.90 meters

Step-by-step explanation:

The correct question is:

In the video, I drop a ball off a three-story balcony. We know that objects in free fall follow the equation for height h, in meters, [tex]h = -4.9t^2 + c[/tex], where [tex]t[/tex] is time in seconds, and [tex]c[/tex] is the initial height. A student timed the drop at 1.27 seconds.

Use this to determine the height from which the ball was dropped, to at least 2 decimal places.

Solution:

The height [tex]h[/tex] of the free falling ball is represented by the equation as:

[tex]h=-4.9t^2+c[/tex] where [tex]t[/tex] is time in seconds, and c is the initial height.

To determine the initial height from which the ball was dropped.

The drop was timed at 1.27 seconds, we will plugin [tex]t=1.27[/tex] in the given height function to find [tex]h(1.27)[/tex]

[tex]h(1.27)=-4.9(1.27)^2+c[/tex]

[tex]h(1.27)=-7.90+c[/tex]

Since, the drop is timed at 1.27 seconds, so in the given time the ball will reach the ground, making [tex]h(1.27)=0[/tex]

So, we have.

[tex]0=-7.90+c[/tex]

Adding both sides by 7.90 to solve for [tex]c[/tex].

[tex]0+7.90=-7.90+7.90+c[/tex]

[tex]7.90=c[/tex]

∴ [tex]c=7.90\ m[/tex]

Thus, the initial height from which the ball was dropped = 7.90 meters

Answer:

18.18%

Step-by-step explanation:

Cross-multiply

11 years ------------ 100% of life

2 years ------------- x% of life

11/2 = 100/x ===> 11x = 2*100 ===> 11x = 200 ===> x = 200/11 ===> x = 18.18%

Answer:

6.09864679092 minutes

Step-by-step explanation:

Mach 27= 33076.19km/h

3,362, at 33076.19km/h

3,362/33076.19

0.101644113182 hours

6.09864679092 minutes

Answer:

Around 6 minutes

Or in other words, fast

We need to find the false statement.

The first one is true (m<RPS=m<WPR because RU⊥SW).

The second statement is true because the two angles make a linear pair and are supplementary.

The third one is false because we only know that the angle pair is complimentary. Their measures are not equal.

answer: m∠SPT=m∠UPT

Final answer:

To solve both 3/8 x 4 and 3/6 x 4, we multiply the numerator by 4 and simplify the resulting fraction if necessary, resulting in 1.5 for the first expression and 2 for the second.

Explanation:

To solve the problem 3/8 x 4 and 3/6 x 4, we need to perform multiplication of a fraction by a whole number. For the first part, we multiply the numerator (3) by the whole number (4) and keep the denominator (8) to get 12/8, which simplifies to 1 1/2 or 1.5. For the second part, we simplify the fraction 3/6 to 1/2 since both the numerator and denominator can be divided by 3. Then, again, we multiply the numerator (1) by the whole number (4) and keep the denominator (2), resulting in 4/2, which simplifies to 2.

Answer:230

Step-by-step explanation:

To get to 100% you need to do 20% 5 times so if 46 people is 20% 46x5 will give you 100% of people surveyed

Answer:

The length of the ladder is 9.2m

Step-by-step explanation:

For this case we have to by definition, if two lines are perpendicular then the product of its slopes is -1, that is:

[tex]m_ {1} * m_ {2} = - 1[/tex]

So, if we have the slope [tex]m_ {1} = - \frac {1} {3}[/tex]

A perpendicular line will have a slope m_ {2}:

[tex]m_ {2} = \frac {-1} {m_ {1}}\\m_ {2} = \frac {-1} {- \frac {1} {3}}\\m_ {2} = 3[/tex]

Thus, the perpendicular line will have slope [tex]m_ {2} = 3[/tex]

Answer:

The perpendicular line will have slope [tex]m_ {2} = 3[/tex]

Answer: C. Line EF.

Step-by-step explanation: Correct on edge.

The right answer is Option B: 5(x+3)=12

Step-by-step explanation:

“The product of five and the sum of a number x and three is twelve”

First;

The sum of a number x and 3 = x+3

Product means multiplication,

Therefore,

Product of five and sum of a number x and three = 5(x+3)

is twelve means that the answer will be 12

5(x+3)=12

The right answer is Option B: 5(x+3)=12

Keywords: linear equation, addition

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Answer:

The right answer is Option B: 5(x+3)=12

Step-by-step explanation:

“The product of five and the sum of a number x and three is twelve”

First;

The sum of a number x and 3 = x+3

Product means multiplication,

Therefore,

Product of five and sum of a number x and three = 5(x+3)

is twelve means that the answer will be 12

5(x+3)=12

The right answer is Option B: 5(x+3)=12

Keywords: linear equation, addition

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Step-by-step explanation:

Answer:

The speed of the boat in still water is 30 mph, and the speed of the current is 6 mph.

Step-by-step explanation:

Let's say b is the speed of the boat in still water, and c is the speed of the current.

Distance = rate × time

Going downstream:

504 = (b + c) × 14

36 = b + c

Going upstream:

504 = (b − c) × 21

24 = b − c

Two equations, two variables.  Solve with substitution or elimination.  To use elimination, add the equations together.

60 = 2b

b = 30

Plug into any equation to find c.

36 = b + c

36 = 30 + c

c = 6

The speed of the boat in still water is 30 mph, and the speed of the current is 6 mph.

The speed of the boat in still water will be 30 miles per hour and the speed of the current will be 6 miles per hour.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Let the speed of the boat in still water be x and the speed of water be y.

A boat traveled 504 miles downstream and back. The trip downstream took 14 hours. Then the equation will be

x + y = 504 / 14

x + y = 36      ...1

The trip back took 21 hours. Then the equation will be

x - y = 504 / 21

x - y = 24       ...2

Add equations 1 and 2, then the value of x will be

2x = 36 + 24

2x = 60

x = 30 miles per hour

Then the value of y will be

30 - y = 24

y = 6 miles per hour

The speed of the boat in still water will be 30 miles per hour and the speed of the current will be 6 miles per hour.

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Answer:

50 possible codes.

Step-by-step explanation:

The first digit must be 1, 3, 5, 7 or 9. -  5 possibilities.

The second digit is one of the numbers from 0 to 9, -  10 possibilities.

So the number of possible codes = 5 * 10 = 50.

Answer:

7 hours, 30 minutes

Step-by-step explanation:

90 seconds times 300 = 27,000 seconds. Divided by 60 equals 450 minutes. Divided by 60 equals 7 hours, 30 minutes

Answer:

it will take 7 hours and 30 minutes to complete her invitations

Step-by-step explanation:

time taken for one envelope= 90 secs

time taken for 300 envelopes= 90*300= 27000 secs

Converting it into minutes = 27000/60= 450 minutes

Converting 450 minutes to hours = 450/60= 7.5 hours

Answer:

7.6875

Step-by-step explanation:

Answer:

gradient = 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the gradient and c the y- intercept )

Rearrange 2y - 6x = - 8 into this form

Add 6x to both sides

2y = 6x - 8 ( divide all terms by 2 )

y = 3x - 4 ← in slope- intercept form

with gradient m = 3

Answer:

π(6²)

Step-by-step explanation:

The base of the cone is a circle with area (A) calculated as

A = πr² ← r is the radius

Here diameter = 12 , hence r = 12 ÷ 2 = 6, thus

A = π(6²)