what are the three choices equivalent to 27^4/3

a. 4^3
b. (27^1/3)^4
c. 3^1/4
d. 81
e. 3 √4
f. (^3 √27)^4

Answer:

b=40/63

Step-by-step explanation:

b= 7. 3b+-4

multiply both sides by 10

b*10=7.3b*10-4*10

refine

b*10=7.3b-40

subtract 7.3b from both sides

b*10-7.3b=7.3b-40-7.3b

simplify

-63b=-40

divide both sides by -63

-63b/-63=-40/-63

simplify

b=40/63

sorry for the lengthy explanation

hope this helps :) have a nice day !! (please let me know if this was wrong)

9514 1404 393

Answer:

  24.5 kJ

Step-by-step explanation:

Kinetic energy is given by the formula ...

  KE = 1/2mv² . . . . . where m = mass

The gazelle's kinetic energy is ...

  KE = 1/2(40 kg)(35 m/s)² . . . . . where m is meters

  = 24,500 J . . . . . . 1 J = 1 kg·m²/s²

  = 24.5 kJ . . . . . . . 1000 J = 1 kJ

Answer:

Sure thing. Which question do you need help with? ill do the best i can.

Answer:

Step-by-step explanation:

Reading rate is y pages per x minutes and proportional relationship formula is:

The coefficient is:

Let's verify if the given numbers fit into the same relationship:

We confirm all same and it means k = 2/3

Required equation is:

This represents that Michael reads 2 pages per 3 minutes and for x minutes he reads 2/3x pages

Answer:

Step-by-step explanation:

-8x³y²(x²-4y) = -8x³y²x² + 8x³y²4y

= -8x³⁺⁵y² + 32x³y²⁺¹

= -8x⁸y² + 32x³y³

Answer:

(2,7)

Step-by-step explanation:

Answer:

Step-by-step explanation:

See the steps

Answer:

x=5

x=−5

Step-by-step explanation:

5x^2+8 =133

Subtract 8 from both sides.

5x^2=133−8

Subtract 8 from 133 to get 125.

5x^2=125

Divide both sides by 5.

x^2=125/5

Divide 125 by 5 to get 25.

x^2=25

Take the square root of both sides of the equation.

x=5

x=−5

Answer

The corresponding angles of the triangles are congruent

The image is a reduction of the pre-image

Neither the dilation nor the rotation change the shape of the triangle

Explanation:

For shapes to be similar:

1- there should be a ratio between the sides

2- angles in first shape should be congruent to angles in second shape

Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes

Let's check the choices:

1- The corresponding sides of the triangles are congruent:

This option is incorrect as dilation changes the lengths of the sides

2- The corresponding angles of the triangles are congruent:

This option is correct as neither dilation nor rotation alters the measures of the angles

3- The corresponding sides of the image are 5 times as long as those of the pre-image:

This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image

4- The image is a reduction of the pre-image:

This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced

5- Neither the dilation nor the rotation change the shape of the triangle:

This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths)

6- The rotation reduces the size of the triangle:

This option is incorrect as rotation does not alter the size of the shape. It only changes its position

Hope this helps :)

Options 2, 4 and 5 are the correct answer.

Given that, a triangle is dilated by a scale factor of 1/5 and then rotated 90 degrees clockwise about the origin.

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size.

Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes

Let's check the choices:

1- The corresponding sides of the triangles are congruent:

This option is incorrect as dilation changes the lengths of the sides.

2- The corresponding angles of the triangles are congruent:

This option is correct as neither dilation nor rotation alters the measures of the angles.

3- The corresponding sides of the image are 5 times as long as those of the pre-image:

This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image.

4- The image is a reduction of the pre-image:

This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced.

5- Neither the dilation nor the rotation change the shape of the triangle:

This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths).

6- The rotation reduces the size of the triangle:

This option is incorrect as rotation does not alter the size of the shape. It only changes its position.

Therefore, options 2, 4 and 5 are the correct answer.

To learn more about the scale factor visit:

https://brainly.com/question/22312172.

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Answer:

7

Step-by-step explanation:

a squared + b squared = c squared

plug it in to get

4 root 2 squared +b squared = 9 squared

(4 root 2)(4 root 2)=32

and 9 squared is 81

so the equation is

32+b squared = 81

subtract 32

b squared = 49

square root both sides

b=7

The length of the  missing side is [tex]3\sqrt{5}[/tex]

The square of the hypotenuse is equal to the sum of the square of the other two sides

From the given diagram;

Get the unknown side "x"

[tex]81 = 32 + x^2\\x^2 = 81 - 36\\x^2 = 45\\x = 3\sqrt{5}[/tex]

Hence the length of the  missing side is [tex]3\sqrt{5}[/tex]

Learn more on pythagoras theorem here: https://brainly.com/question/343682

Answer:0.94

Step-by-step explanation:

V=pir^2h=pi * 1^2 * 0.3 = 0.94248

Step-by-step explanation:

1)

a-13b

2) b

3) -3d+14e

4)12x-11y

5)-3rs

6)8xy-10cs

7)

[tex] - 2 {x}^{2} - 4x + 7[/tex]

8)

[tex]8 {y}^{2} - 7[/tex]

Answer:

1. 6a - 3b

2. b + 6c

3.- 3d - 2e

4. 12x + 5y

5. -3rs - 14bc

6. 8xy - 8cs

7. -2x^2 - 8x + 3

Step-by-step explanation:

Subtract polynomials

Answer:

-8x-28 is after the distributive prop simplified

Step-by-step explanation:

4(-2x-7)

(4×-2x)-(4×-7)= -8x-28

Answer:

Commutative property of addition: Changing the order of addends does not change the sum.

Step-by-step explanation:

For example, 4 + 2 = 2 + 4 4 + 2 = 2 + 4 4+2=2+44, plus, 2, equals, 2, plus, 4.

Answer:

the answer is 24.1 MM

Step-by-step explanation:

Answer:

approx. 24.1 mm squared (when rounded to the nearest 10th)

Step-by-step explanation:

Surface area of cylinder = 2πr(h+r)

plug in what we know

2π*1.2(2+1.2)

solve

approx. 24.1 mm squared

Answer:

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

Step-by-step explanation:

1) Find the slope with the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] (in which [tex]m[/tex] represents the slope). The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point, and the [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point. Thus, substitute the x and y values of the given points (6, -2) and (-3, 1) into the appropriate places in the formula and solve:

[tex]m = \frac{(1)-(-2)}{(-3)-(6)} \\m = \frac{1+2}{-3-6} \\m = \frac{3}{-9} \\m = -\frac{1}{3 }[/tex]

Thus, the slope is [tex]-\frac{1}{3}[/tex].

Answer:

hm the 8 per hour seems more accurate because if you multiply or divide 8 could almost get you to 120

Step-by-step explanation:

Answer:

see below, I hope it's helpful

Step-by-step explanation:

Simplifying expressions...

1. use as many steps as you need, don't take shortcuts or try to do too much in one step... only touch each item in the expression once at most at each step

2. Follow PEMDAS

3. consider some of the rules of exponents: (a/b)^n = (a^n)/(b^n) and (x)^(-n) = 1/(x^n) and a^(b^c) = a^(bc)

examples x^(-4) = 1/(x^4)

                3^(-x) = 1/(3^x)

                (2/x)^(-n) = (1/(2/x))^n = (x/2)^n

                 2^(-x^3) = 2^(-3x) = 1/(2^3x)

so for example

2^(-x) - (x)^(-n) + (-n)^(x^(-2)) touch each part only once, do what you can

1/(2^x) - 1/(x^n) + (-n)^(-2x) the third part needed two steps, so be it

1/(x^n) - 1/(x^n) + (1/((-n)^2x)

Answer:

5, 6

Step-by-step explanation :

Answer:

0.16

Step-by-step explanation:

Answer:

Ok its A= x +4 because that its lower than the other one so since its lower it will be better

Answer:

Possible dimensions are [tex]r=4\,\,cm\,,\,h=4\,\,cm[/tex] and [tex]h=16\,\,cm\,,\,r=2\,\,cm[/tex]

Step-by-step explanation:

Given:

Volume of a cylinder is [tex]64\pi\,\,cm^3[/tex]

To find: Dimensions of a cylinder

Solution:

Let [tex]r,h[/tex] denote height of a cylinder.

Volume of a cylinder = [tex]\pi r^2h[/tex]

Therefore,

[tex]64\pi=\pi r^2h\\64=r^2h\\4^2\,4=r^2h[/tex]

One possible dimension can be [tex]r=4\,\,cm\,,\,h=4\,\,cm[/tex].

Also, [tex]64=r^2h[/tex] can be written as [tex]16(2^2)=hr^2[/tex]

So, another possible dimension can be [tex]h=16\,\,cm\,,\,r=2\,\,cm[/tex]

Answer:

79456.1

Step-by-step explanation:

is it 794.561 × 10(2)?

Answer:

9/10

Step-by-step explanation:

9/10 is equal to .9 and 5/6 is equal to .833333 and .9 is greater than .833333

Answer: 5/6

Step-by-step explanation:

because with fractions if the bottom is less than it is more than a number bigger tha it

Answer:

the answer is f(n)=14.5−1.4n

Step-by-step explanation:

Hope this helps

The function models the n term of the given sequence is f(n)=14.5+1.4(n-1). Therefore, option B is the correct answer.

An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is an=a+(n-1)d

The given arithmetic sequence is 14.5, 13.1, 11.7, 10.3,....

Here, a=14.5 and d=14.5-13.1=1.4

Substitute a=14.5 and d=1.4 in an=a+(n-1)d, we get

f(n)=14.5+1.4(n-1)

The function models the n term of the given sequence is f(n)=14.5+1.4(n-1). Therefore, option B is the correct answer.

To learn more about an arithmetic sequence visit:

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Answer:

That means the missing side length is 15

Step-by-step explanation:

We use the Pythagorean theorem to find the hypotenuse. The hypotenuse for this triangle is 17. The equation for the Pythagorean theorem is a^2 + b^2 = c^2. Our equation is x^2+64 = 289. We can now subtract 64 from both sides and get 225. The square root of 225 will be 15.

Answer:

hi

Step-by-step explanation:

[tex] {c}^{2} = {a}^{2} + {b}^{2} \\ {8}^{2} + {b}^{2} = {17}^{2} \\ {b}^{2} = {17}^{2} - {8}^{2} \\ {b}^{2} = 289 - 64 \\ {b}^{2} = 225 \\ b = \sqrt{225} \\ b = 15[/tex]

hope it helps

Have a nice day

byee

Since Joe has read 30% of the book, that means that 14 pages is 70% of the book. That means that two pages equals 10%. Therefore, the book has 20 pages.

70% = 14

so 30% = 6

total pages = 14+6=20