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Answer:

D

Step-by-step explanation:

To find volume, you have to multiply all the given sides. Therefore, 14 x 5 x 6 = 2,100. (5 x 6=30 x 14=2100)

Answer:

n^14

Step-by-step explanation:

Simplify. Note that when you have a power on top of a power, you multiply the two powers.

(n^7)^2 = n^(7 * 2) = n^14

n^14 is your answer.

~

Use power rule: (a^b)^c = a^b*c

Solve.

= (n^7)^2

= n^7*2

= n^14

Best of Luck!

Answer:

(1,3)

Step-by-step explanation:

Rotating clockwise means that you're rotating by a negative angle measure. The rule for rotating -90 degrees is (x,y)->(y,-x). X is (-3,1) so X' should be (1,3) since you negate -3 to get 3 and switch the x and y coordinates.

Answer:

(1,3)

Step-by-step explanation:

e d g e n u i t y :))

Answer:

3y^2 - (y + 2) (y - 2) = 0

<=> 3y^2 - (y^2 - 4) = 0

<=> 2y^2 + 4 =0

<=>y^2 + 2 = 0

=> Because y^2 is always equal or larger than 0, there is no real solution.

Hope this helps!

:)

Answer:

[tex]2 {y}^{2} + 4[/tex]

Step-by-step explanation:

[tex]3 {y}^{2} - (y + 2)(y - 2) \\ 3 {y}^{2} - ( {y}^{2} - 4) \\ 3 {y}^{2} - {y}^{2} + 4 \\ = 2 {y}^{2} + 4 \\ = 2( {y}^{2} + 2)[/tex]

Answer:

[tex]\Delta T = T_{max,w} - T_{min,w}[/tex]

[tex]\Delta T = 20\,^{\circ}F - (-12\,^{\circ}F)[/tex]

[tex]\Delta T = 32\,^{\circ}F[/tex]

Step-by-step explanation:

The expression needed is the highest temperature of the week subtracted by the lowest temperature of the week. That is to say:

[tex]\Delta T = T_{max,w} - T_{min,w}[/tex]

[tex]\Delta T = 20\,^{\circ}F - (-12\,^{\circ}F)[/tex]

[tex]\Delta T = 32\,^{\circ}F[/tex]

Answer:

Andre's height:  y < x < 164

Step-by-step explanation:

We will first of all convert each of the statements to mathematical inequalities, before we combine them.

Let Andre's height be = x

Lin's height be = y

The maths teacher's height = 164

Andre is a little taller than Lin:

x > y

Andre is shorter than their maths teacher, who is 164 centimetres

x<164

Combining the two inequalities, we have Andre's height as

y < x < 164

This means that Lin is shorter than Andre who is in turn shorter than the Maths Teacher.

Answer: can you explain better? And than I can do this

Step-by-step explanation:

32 pi square meters (sorry if it is wrong)

The area base of the cylinder is 32π square meters which is correct option(A).

The volume of a cylinder is equal to the product of area of circular base and height of a cylinder. The volume of a cylinder is defined as the space occupied by the cylinder as the volume of any three-dimensional shape is the space occupied by it

V = A × h, where

A = area of the base

h = height

The base of a  circular cylinder is a circle and the area of a circle of radius 'r' is πr². Thus, the volume (V) of a circular cylinder, using the formula, is, V = πr²h

where , 'r' is the radius of the base (circle) of the cylinder

'h' is the height of the cylinder

π is a constant whose value is either 22/7 (or) 3.142.

Given data,

The volume of cylinder = 288π cubic meters

V = πr²h

Substitute the value of V in the formula

288π = π(r²)(9)

Divided by π both the sides,

288 = 9 r²

288/9 = r²

32 = r²

r² = 32

r ≈ 5.65 meters

The area base (circle) of the cylinder = πr²

Substitute the value of r in the formula,

The area base  of the cylinder = π(5.65)²

The area base  of the cylinder = π(32)

The area base of the cylinder = 32π

Hence, the area base of the cylinder is 32π square meters.

Learn more about volume of cylinder here :

https://brainly.com/question/16134180

#SPJ5

Answer:

12 goes into 53 4 times

Step-by-step explanation:

Answer:

4 times

Step-by-step explanation:

Answer:

the dispersion of something that was originally localized

Step-by-step explanation:

that's the definition of the word diaspora.

Answer:

1,253 cubic inches

Step-by-step explanation:

This container is made up of two rectangular prisms. The larger prism has volume 11*7*14=1078 cubic inches. The other one has volume 7*5*5=175 cubic inches. Adding these together, you get a total of 1,253 cubic inches. Hope this helps!

Answer:

1253 in^3

Step-by-step explanation:

The volume of the bottom container is

V = l*w*h

V = 11*14*7

V =1078

The volume of the top container is

V = l*w*h

V = 7*5*5

V =175

Add the two volumes together

V =1078+175 =1253 in^3

Answer:

156 ft

Step-by-step explanation:

5x+9x+13x=324

27x=324

x=12

13(12)=156

Answer:

(X+2)power of 2 + (y + 3)power of 2 = 9    

Step-by-step explanation:

Answer:

[tex] (x + 2)^2 + (y + 3)^2 = 9[/tex]

Step-by-step explanation:

Center = (-2, - 3) = (h, k)

Radius (r) = 3

Equation of circle in centre radius form is given as:

[tex] (x - h) ^2 + (y - k) ^2 = r^2 \\

\therefore \{x - (-2)\}^2 + \{y - (-3)\}^2 = 3^2 \\

\purple {\boxed {\bold {\therefore(x + 2)^2 + (y + 3)^2 = 9}}} [/tex]

Answer:

She would earn $72 each day

Step-by-step explanation:

you divide $360 and 5

Answer:

  5

Step-by-step explanation:

The gradient is the ratio of the change in y to the change in x:

  m = ∆y/∆x = (16 -6)/(2 -0) = 10/2 = 5

The gradient of the line segment is 5.

Answer:

20

Step-by-step explanation:

Area = ((7+3) x 4) ÷ 2 = 20

Answer:

65

Step-by-step explanation:

90 degrees - 25 degrees = 65 degrees

...,..................................................

Answer: 48.75

Step-by-step explanation:

Divide.

780/16=48.75

Answer:

1800

Step-by-step explanation:

2000 seats and 90 filled . 2000 x 90% =1800

Answer:

= 4

Step-by-step explanation:

2 + 2 = 4

●● + ●● = ●●●●

Answer:

2+2=4

Step-by-step explanation:

for example you have two pieces of bread and your friend gives you another two pieces if you add them all together you get 4! lol

Answer:

Given:

a + b = 9

=> a = 9 - b

Given:

a x b = 18

=> (9 - b) x b = 18

=> 9b - b^2 = 18

=> b^2 - 9b + 18 = 0

=> (b - 3)(b - 6) = 0

=> b = 3 => a = 6

=> b = 6 => a = 3

Hope this helps

:)

Ten choices for the first digit, 10 for the second, 10 for the third,

10 × 10 × 10 = 1000 combinations

Answer: 1000

Answer:

Yo Send me a pic so i can solve

Step-by-step explanation:

Answer:

18,6,108 on edg 2021

Step-by-step explanation:

Answer:

k=3.5

Step-by-step explanation:

1. Understand which lines are similar in the triangles. In this case, because we can see that the line YX is a hypotenuse and line QP is a hypotenuse we can see that YX and QP are similar. Therefore, we can see that YZ is similar to QR and ZX is similar to RP.

2. For finding an unknown side for similar triangles, you use the equation [tex]\frac{x}{y} =\frac{a}{b\\}[/tex] where x(also known as k) is the unknown side (QR), y is the similar side to the unknown(YZ), a is a known side(Let's use RP), and b is the similar side to the known side (In this cause, it would be ZX).

2. Plugging all the sides into the equation, it should turn into [tex]\frac{x}{10.5} =\frac{5.5}{16.5}[/tex].

3.After cross-multiply, you should get 16.5x=10.5×5.5 or 16.5x=57.75.

4. Then by dividing 16.5 on both sides, you should get 3.5

Answer:

(5,-1) and choice A

Step-by-step explanation:

The first step is to figure out where the two vectors are. Since one goes to (2,-3) and the other goes to (3,2), you already know that the only possible correct answer choices could be A and B, since C and D go to the wrong coordinates. Since the two vectors are originating from the same point and are not build on top of each other, you solve this by averaging them instead of adding head to tail. Using the pythagorean theorem, you know that the length of the new vector will be [tex]\sqrt{(3^2+2^2)+(3^2+2^2)}=\sqrt{26}[/tex]. The side lengths have length 5 and 1, since [tex]5^2+1^2=26[/tex]. Therefore, the coordinates of the new vector are (5,-1). Hope this helps!

Step-by-step explanation:

The only digit that is neither composite nor prime is 1, so the hundreds place is 1. Therefore, the digit in the ones place is twice 1, or 2. The only even prime number is 2, so the digit in the lakhs place is 2. We have 2 options for the tens thousands and tens places, 3 and 1 or 5 and 3 respectively. 7 and 5 does not work because 7 + 5 = 12, and 12 is not a digit. From this, the thousands place could be 4 or 8. Therefore, the number could be 234112 or 258132. Hope this helps!

Answer:234112 or 258132.

Step-by-step explanation:

Step-by-step explanation:

there's the answer I hope you can read

Answer:

82.4

Step-by-step explanation:

Answer:

The amount of money he should invest in a 1-year deposit is  $3,333.333

The amount of money he should invest in a 2-year deposit is $4,333.333

The amount of money he should invest in a 3-year deposit is $8666.67

Step-by-step explanation:

The given parameters are;

Total investment = $12,000

Total interest = $600

Interest rate = r

Amount invested in a 2-year deposit, B = $1,000 + Amount invested in a 1-year deposit, A

Amount invested in a 3-year deposit, C = $12,000 - (A + B)

C = 12000 - 2·B + 1000 = 13000 - 2·B

∴ A + B + C = $12,000

A×r + 2×r×B + 3×r×C = $600

∴ r×(A + 2·B + 3·C) = $600

r×(12000 + B + 2·C) = $600

B = A + 1000

∴ r×(B - 1000 + 2·B + 3·(13000 - 2·B) = $600

r×(B - 1000 + 2·B + 3·(13000 - 2·B) = $600

r×(38000 - 3·B) = $600

∴B + 2·C = -3·B

4·B = 2·C

C = 2·B

Hence;

B - 1000 + B + 2·B = $12,000

3·B = 13,000

∴ B = 13000/3 = [tex]\$4,333\tfrac{1}{3}[/tex] = $4,333.333

B = A + 1000

∴ A = B - 1000 = [tex]\$3,333\tfrac{1}{3}[/tex] = $3,333.33

C = 2×B = [tex]\$8,666\tfrac{2}{3}[/tex] = $8666.67

Therefore;

The amount of money he should invest in a 1-year deposit =  $3,333.333

The amount of money he should invest in a 2-year deposit = $4,333.333

The amount of money he should invest in a 3-year deposit = $8666.67.