Change this radical to an algebraic expression with fractional exponents.
[tex]\sqrt{b}[/tex]

Answer: 38.45

Step-by-step explanation:

[tex]\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=21.98 \end{cases}\implies 21.98=2\pi r\implies \cfrac{21.98}{2\pi }=\boxed{r} \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2\qquad \qquad A=\pi \left( \boxed{\cfrac{21.98}{2\pi }} \right)^2\implies A=\cfrac{21.98^2}{2^2\pi }\implies A\approx 38.445[/tex]

Answer:

31

Step-by-step explanation:

[tex] {x}^{2} + y \\ = {5}^{2} + 6 \\ = 25 + 6 \\ = 31 [/tex]

Answer:

31

Step-by-step explanation:

25+6=31

Answer:

[tex]A = 80[/tex] [tex]units^{2}[/tex]

Step-by-step explanation:

Given Data:

a = 7+3+7 =17 units

b = 3  units

h = 8  units

To Find Out:

Area of trapezoid = ?

Formula:

[tex]A = \frac{a+b}{2}h[/tex]

Solution:

[tex]A = \frac{a+b}{2}*h[/tex]

[tex]A = \frac{17+3}{2}*8[/tex]

[tex]A = \frac{20}{2}*8[/tex]

[tex]A =10*8[/tex]

[tex]A = 80[/tex] [tex]units^{2}[/tex]

Answer:

$151.34

Step-by-step explanation:

First, Karla starts with $138.72.

Then Karla writes checks for $45.23 and $18.00. This means the money will be withdrawn, so let's subtract these from the total.

$138.72 - $45.23 - $18.00 = $75.49

Now, Karla has $75.49 in her account.

However, a $75.85 deposit is made to her account. So let's add this back to the total.

$75.49 + $75.85 = $151.34

So after all the transactions, Karla has $151.34 in her checking account.

Answer:

Option A, 12

Step-by-step explanation:

Step 1:  Add 5 to both sides

-5 + w/3 + 5 = -1 + 5

w / 3 = 4

Step 2:  Multiply both sides by 3

w/3 * 3 = 4 * 3

w = 12

Answer:  Option A, 12

16% = 0.16 =  [tex]\frac{4}{25}[/tex]

Step-by-step explanation:

Given,

16%

We need to find out the decimal and reduced fraction.

Decimal Fraction

16% = [tex]\frac{16}{100}[/tex] = 0.16

Reduced Fraction

16% = [tex]\frac{16}{100}[/tex] = [tex]\frac{4}{25}[/tex] [ Diving both by 4]

Answer:

0.16 as a decimal

4/25 as a reduced fraction

Step-by-step explanation:

16%

A percentage is an hundred. Hence, the percentage of any number is that number divided by 100.

16% will therefore be 16/100

To decimal form gives 0.16

To a reduced fraction, we have

16/100

Using 2 to reduce

8/50

Using 2 to reduce again

4/25

It can't be reduced with a common number again.

The volume of the larger cone divided by the volume of the smaller cone is 25.

A cone is a three-dimensional object that is made up of a circular base and a vertex.

Volume of a cone = 1/3(πr²h)

Assumed dimensions of the smaller cone:

Volume = 1/3(π x 9 x 10) = 30π

Assumed dimensions of the larger cone:

Volume = 1/3(π x 225 x 10) = 750π

Ratio of the volumes = 750π / 30π = 25

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Answer:

A, 25 is correct

Step-by-step explanation:

i got it right on edge 2023

f(-1) = 3((-1)^5)-5((-1)^4)+29 = -3-(5)+29 = 21

answer: 21

Answer:

The value of f(-1) is 21

Step-by-step explanation:

Given:

[tex]f(x) = 3x^5 - 5x^4 + 29[/tex]

Finding f(-1)

        [tex]f(-1)=3(-1)^5-5(-1)^4+29\\\\[/tex]

Multiplying '-1' odd times gives -1 and even times gives '1'

       [tex]f(-1)=3(-1)-5(1)+29\\\\f(-1)=-3-5+29\\\\f(-1)=-8+29\\\\f(-1)=21\\[/tex]

The value of f(-1) is 21

Answer:

32k13

Step-by-step explanation:

32k13 Multiply the number add the the exponent

To simplify the expression 4k9×8k3×k, combine the coefficients and add the exponents of the same variable k to get 32k13.

To simplify the expression 4k9×8k3×k, we can combine the coefficients and add the exponents of the same variable k.

4k9×8k3×k = (4×8)k(9+3+1) = 32k13

Therefore, the simplified expression is 32k13.

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Answer:

27 - 8 = 19

The answer is 19.

Step-by-step explanation:

Answer:

h=V/b

Step-by-step explanation:

The volume V can be represented as a function of height h by the equations V = lwh for a rectangular prism or V = πr²h for a cylinder. If other dimensions are constants, this can be simplified to V=k*h, where k represents the base area.

To represent the volume V as a function of the height h, we typically consider the volume of a rectangular or cylindrical shape. The volume V of a rectangular prism is given by the formula V = lwh, where l is the length, w is the width, and h is the height. If we consider a cylinder, the volume is given by the equation V = πr²h, where r is the radius of the base circle and h is the height. However, if we simplify this formula assuming only the height can vary and all other dimensions are constants, the function could be simplified to V=k*h, where k represents the area of the base.

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Final answer:

Yes, a data set can have two modes, which occurs when two different values appear with equal and highest frequency, making the set bimodal.

Explanation:

Yes, there can be two modes in a data set. The mode is the most frequent value or values in a set of data. When a data set has exactly two modes, it is called bimodal. This phenomenon occurs when two different numbers appear with equal frequency and more often than any other numbers in a set. For example, in the data set 2,5,6,7,9,9,11,11,12,13, both 9 and 11 appear twice and more frequently than any other values, making them both modes of the data set.

Answer:

X=3

Y=1

Step-by-step explanation:

In solving simultaneous equations, there are three methods, we have the elimination method, substitution method or graphical method. But for the purpose of this question, we would be using Elimination method.

5y-4x =-7 Equation 1

2y+4x=14 Equation 2

Since x has the same coefficient, it's easy to eliminate by adding up the two equations

5y+2y=7y

-4x+(+4x)=0

-7+(+14)=7

We have 7y=7

Divide both sides by 7,

y=7/7

y=1

Substituting for y in equation 2.

2(1)+4x=14

2+4x=14

4x=14-2

4x=12

x=12/4

x= 3

Answer:

12 in³

Step-by-step explanation:

Its made up of 12 (4×3 = 12) cubes of 1 in³ each

So 12 × 1 = 12 in³

Answer:

Depends on what x represents.

Step-by-step explanation:

Can you provide more details?

Answer:

x = 180 - (67 + 52)

Step-by-step explanation:

Had it wrong the first time ;)

Answer:

u didnt give all the info

Step-by-step explanation:

Answer:

51 inches

Step-by-step explanation:

area = base x height

8.5 x 6 = 51

51 inches

Answer:

1

Step-by-step explanation:

Anything to the power 0 is 1

Therefore, 6^0 is 1

Answer:  1

Answer:

6^0 = 1

Step-by-step explanation:

"6 to the power 0" is 6^0 = 1

Answer:

Approximately [tex]22.2\; \rm m[/tex].

Step-by-step explanation:

By sine rule, the length of each side of a triangle is proportional to the sine value of the angle opposite to that side. For example, in this triangle [tex]\triangle ABC[/tex], angle [tex]\angle A[/tex] is opposite to side [tex]BC[/tex], while [tex]\angle C[/tex] is opposite to side [tex]AB[/tex]. By sine rule, [tex]\displaystyle \frac{BC}{\sin{\angle A}} = \frac{AB}{\sin \angle C}[/tex].

It is already given that [tex]BC = 22.4\; \rm m[/tex] and [tex]\angle A = 58^\circ[/tex]. The catch is that the value of [tex]\angle C[/tex] needs to be calculated from [tex]\angle A[/tex] and [tex]\angle B[/tex].

The sum of the three internal angles of a triangle is [tex]180^\circ[/tex]. In [tex]\triangle ABC[/tex], that means [tex]\angle A + \angle B + \angle C = 180^\circ[/tex]. Hence,

[tex]\begin{aligned}\angle C &= 180^\circ - \angle A - \angle B \\ &= 180^\circ - 58^\circ - 65^\circ \\ &= 57^\circ\end{aligned}[/tex].

Apply the sine rule:

[tex]\begin{aligned} & \frac{BC}{\sin{\angle A}} = \frac{AB}{\sin \angle C} \\ \implies & AB = \frac{BC}{\sin{\angle A}} \cdot \sin \angle C \end{aligned}[/tex].

[tex]\begin{aligned}AB &= \frac{BC}{\sin{\angle A}} \cdot \sin \angle C \\ &= \frac{22.4\; \rm m}{\sin 58^\circ} \times \sin 57^\circ \\ &\approx 22.2\; \rm m\end{aligned}[/tex].

Answer:

Step-by-step explanation:

Given the function f(x)=6+x

F(x) is dependent on x,

When x=1

f(x)=6+x

f(x)=6+1,

f(x)=7

When x=2

f(x)=6+x

f(x)=6+2

f(x)=8.

This will continue like this till we get to x=15

So when x=15

We will substitute x=15 into the function f(x)

f(x)=6+x

f(x)=6+15

f(x)=21

Then, the answer is 21.

Answer: 17

Step-by-step explanation:

To solve 6+x when x = 15,

Step 1: Substitute 15 into x

Step 2: Sum 6 and 15

6+15= 17.

Answer: im not sure but a)15 B)24 c)zoo in a different city

Step-by-step explanation:

There are 15 reptiles in the zoo. To keep the ratio 4:3, if the zoo adds 12 more mammals, they will need to add 9 more reptiles. The first zoo has a larger ratio of mammals to reptiles (4:3) compared to the second zoo (6:5).

To answer the question, let's solve each part step by step:

For this case we must indicate the solution set of the given inequalities:

[tex]-6x + 14 <-28[/tex]

Subtracting 14 from both sides of the inequality we have:

[tex]-6x <-28-14\\-6x <-42[/tex]

Dividing by 6 on both sides of the inequality:

[tex]-x <- \frac {42} {6}\\-x <-7[/tex]

We multiply by -1 on both sides, taking into account that the sense of inequality changes:

[tex]x> 7[/tex]

Thus, the solution is given by all values of x greater than 7.

On the other hand we have:

[tex]9x + 15 <-12[/tex]

Subtracting 15 from both sides of the inequality we have:

[tex]9x <-12-15\\9x <-27[/tex]

Dividing between 9 on both sides of the inequality we have:

[tex]x <- \frac {27} {9}\\x <-3[/tex]

Thus, the solution is given by all values of x less than -3.

Finally, the solution set is:

(-∞, - 3) U (7,∞)

Answer:

(-∞, - 3) U (7,∞)

Triangle with side lengths 30, 40, and 50 is a right triangle.

To classify the triangle based on the lengths of its sides, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

For the given lengths of sides:

[tex]\(a = 30\)[/tex]

[tex]\(b = 40\)[/tex]

[tex]\(c = 50\)[/tex]

We can check if the triangle is a right triangle:

[tex]\[c^2 = a^2 + b^2\][/tex]

Substituting the values:

[tex]\[50^2 = 30^2 + 40^2\][/tex]

[tex]\[2500 = 900 + 1600\][/tex]

[tex]\[2500 = 2500\][/tex]

Since [tex]\(2500 = 2500\)[/tex], the Pythagorean theorem holds true, meaning this triangle is a right triangle.

So, the given triangle with side lengths 30, 40, and 50 is a right triangle.

Answer:

x=3

y=35

Step-by-step explanation:

5x+20=-7x-16

-16+20=4

5x=-7x+4

5x+7x= 12x

12x=4

12/4=3

Answer: x =  -3 ; Y = 5

Step-by-step explanation:

Y=5x+20

Y=-7x-16

5x+20  = -7x-16

5x+ 7x = -16 - 20

12x = - 36

x = -36 / 12

x =  -3

Y=5x+20

Y = 5.(-3) + 20

Y = - 15+20

Y = 5

Answer:

37 (i think)

Step-by-step explanation:the probability means the amount of (in this case) the cherry gum or watermelon gum. Add the amount and then subtract the total from the WHOLE number of the WHOLE of the group

(hopefully that made sense)

Answer: William

Step-by-step explanation: This is true because whichever has a better gas mileage pays less, so the bigger number per year has better mileage, so 15,000 would have better which is Donald, and William has 12,000 which is worse, so he would have to pay more.

Answer: Donald

Step-by-step explanation:

Answer:

Is their a picture so we can see where to put it

Answer:

The first error consists in the multiplication of f (x) = 100 * (1.25), the value she mentions is incorrect since it is 125.

It would be a 125% increase really.

In order for LaTanya's phrase to have no error she had to mention that it was a 25% increase over the original amount, in this way, the phrase would make sense and be valid.

Answer:

LaTanya confused growth factor with growth rate. The growth factor is 1.25. The growth rate is 25%.

Step-by-step explanation:

In the exponential growth model,

f(x)=a(1+r)x

a is the inital amount, r is the growth rate, and (1+r) is the growth factor. Hence, the growth factor of the given function is 1.25.

Answer:I think its C

Step-by-step explanation:

Answer: the answer is c

Step-by-step explanation: