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Step-by-step explanation:

THE ANSWER IS C. 31 INCHES

Answer:

c) 31 in.

Step-by-step explanation:

circumference = 2 π r

r = 5 in

π = 3.14

C = 2 x 3.14 x 5

C = 31.4

round to the nearest whole number

31.4 = 31

Answer:

the equivalent expression is 0.88(x)

Step-by-step explanation:

Given that

There is 12% off on the total purchase price

Based on the above information

The expression that used the given terms i.e.

b - 0.12b

i.e.

1 - 0.12

= 0.88(x)

Hence, the equivalent expression is 0.88(x)

Answer:

B.   128

Step-by-step explanation:

Answer:

by using Pythagoras law

hypotenuse ²=perpendicular ²+base²

h²=100²+80²

h²=10000+6400

h=√16400=128.06m

128m is the required answer.

Answer: <F, <D, <E

Step-by-step explanation:

The smallest angle is determined by looking at the shortest side, and then going across from it. Then medium, 5, across. And so on.

Answer:

[tex]T_n = 2n -3[/tex]

Step-by-step explanation:

Given

[tex]S_n = n^2- 2n[/tex]

[tex]T_n = S_n - S_{n-1[/tex]

Required

Find [tex]T_n[/tex]

[tex]S_n = n^2- 2n[/tex]

Calculate [tex]S_{n-1[/tex]

[tex]S_{n-1} = (n-1)^2- 2(n-1)[/tex]

[tex]S_{n-1} = n^2-2n+1- 2n+2[/tex]

[tex]S_{n-1} = n^2-2n- 2n+1+2[/tex]

[tex]S_{n-1} = n^2-4n+3[/tex]

[tex]T_n = S_n - S_{n-1[/tex] becomes

[tex]T_n = n^2 - 2n - (n^2 - 4n +3)[/tex]

[tex]T_n = n^2 - 2n - n^2 + 4n -3[/tex]

[tex]T_n = n^2 - n^2- 2n + 4n -3[/tex]

[tex]T_n = 2n -3[/tex]

Answer:

No, there events are dependent, because the change of getting an A in Marketing decreases if the lacrosse team makes the playoffs.

Step-by-step explanation:

Independent events:

Two events are said to be independent if one event happening, or not, does not change the probability of the other event happening.

In this question:

The change of getting an A in Marketing decreases if the lacrosse team makes the playoffs, which implies that the events are dependent, an the answer is no.

Answer:

x=13

Step-by-step explanation:

2x+9=35

2x=35-9

2x=26

x=26/2

x=13

Answer:

Use Trigonometric formulae to simplify expressions

Step-by-step explanation:

Re-order to group the x and y,

Sin(y) / Sin(a+y) = x

to differentiate apply d/dx to both sides

[tex]\frac{d}{dx}[/tex]Sin(y) / Sin(a+y) = [tex]\frac{d}{dx}[/tex]x

use division rule on left side which will give

[tex]\frac{dy}{dx}[/tex]Cos(y)Sin(a+y) - [tex]\frac{dy}{dx}[/tex]Cos(a+y)Sin(y) / Sin²(a+y) = 1

Group them so dy/dx is on the left hand side:

[tex]\frac{dy}{dx}[/tex] = Sin²(a+y) / Cos(y)Sin(a+y) - Cos(a+y)Sin(y)

Apply trigonometric sum formula to expand Sin(a+y) and Cos(a+y),

[tex]\frac{dy}{dx}[/tex] =  Sin²(a+y) / Cos(y)[Sin(a)Cos(y) + Cos(a)Sin(y)] - Sin(y)[Cos(a)Cos(y) - Sin(a)Sin(y)]

Simplify it

[tex]\frac{dy}{dx}[/tex] = Sin²(a+y) / (Cos²(y) + Sin²(y))(Sin(a))

[tex]\frac{dy}{dx}[/tex] = Sin²(a+y) / (1)(Sin(a))

Answer:

204

Step-by-step explanation:

17x12=204

You can tell if 3 side lengths will form a triangle if you know each length by adding all 3 side lengths together. If they equal a total of 180 degrees then it is a triangle.

Answer:

C

Step-by-step explanation:

y-intercept represents the starting value, slope is the rate of change

slope is rise/run

Answer:

C is correct! :D

Step-by-step explanation:

Edge nuity 2021

Answer:

60

Step-by-step explanation:

1/6 * 60 = 60/6

60/6 = 10/1 = 10

The number of 1/6 pound servings in 10 pounds of chicken is; 60

We are required to determine how many 1/6 pound servings are in 10 pounds of chicken.

Hence ; we have;

= 60.

Read more on divisions;

https://brainly.com/question/1622425

Answer:

The answer is y = 2.

Step-by-step explanation:

1) Add 5 to both sides.

[tex]6y = 7 + 5[/tex]

2) Simplify 7 + 5 to 12.

[tex]6y = 12[/tex]

3) Divide both sides by 6.

[tex]y = \frac{12}{6} [/tex]

4) Simplify 12/6 to 2.

[tex]y = 2[/tex]

Thus, the answer is y = 2.

The value of y in 6y-5=7 is 2.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

6y-5=7

Now, solving for y

Add 5 both side

6y-5 + 5=7 +5

6y= 12

Now, divide both side by 6

6y/6 = 12/6

y= 2

Hence, the value of y is 2.

Learn more about Equation here:

https://brainly.com/question/10413253

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Answer:

The slops is -4

Step-by-step explanation:

Given

x: -1   1    3   5

y: 10   2   -6   -14

Required

The slope

Pick any pair of x and y

[tex](x_1,y_1) = (-1,10)[/tex]

[tex](x_2,y_2) = (1,2)[/tex]

The slope is:

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

[tex]m = \frac{2 -10}{1 --1}[/tex]

[tex]m = \frac{-8}{2}[/tex]

[tex]m = -4[/tex]

Answer:

The step-by-step procedure to solve this question is given, using the normal approximation to the binomial distribution.

Step-by-step explanation:

We use the normal approximation to the binomial distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

In the U.S., 45% of adults over 65 suffer from one or more of the conditions considered in the study.

This means that [tex]p = 0.45[/tex]

Mean and standard deviation for the approximation, for a sample of n:

[tex]\mu = E(X) = np = 0.45n[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{0.45*0.55n}[/tex]

Calculate the probability that fewer than 320 out of the n

Using continuity correction, this is [tex]P(X < 320 - 0.5) = P(X < 319.5)[/tex], which is the pvalue of Z when X = 319.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{319.5 - 0.45n}{\sqrt{0.45*0.55n}}[/tex]

Just have to replace the value of n, find Z, and then find its pvalue.

Answer:

b.

( -3, -5)

Step-by-step explanation:

6x + 13 = 2x + 1

6x -2x = 1-13

4x = -12

x = -12/4 = -3

y = 6x + 13

y = 6(-3) +13 = -18+13 = -5

(x, y) = (-3,-5)

Answer: No.

Step-by-step explanation: YOU ALREADY HAVE THE ANSWER

Answer:

x = 6

Step-by-step explanation:

Looking at the figure, we can say that it is a vertical angle.

5x - 7 = 23

5x - 7 + 7 = 23 + 7

5x = 30

5x / 5 = 30 / 5

x = 6

Since it is a vertical angle, the other side should be 23⁰. You can also plug in the x value to find if it gives you 23⁰ or not.

5x - 7

5(6) - 7

30 - 7

23

Therefore, x = 6. Hope this helps and stay safe, happy, and healthy, thank you :) !!

Answer:

the answer is D

Step-by-step explanation:

55-23=32

Answer:

16

Step-by-step explanation:

shorter piece measures x  

longer piece measures x +23

Together they measure 55 ft

x + (x+23)  =  55

2x + 23 =  55

      -23 = -23

____________________

2x          = 32

x = 16

Answer:

Raíz cuadrada de (3.9)^2+(56)2

Step-by-step

C^2= a^2+b^2

Sabes que la c es la distancia del punto más alto de la Torre hasta donde llega tu vista

Answer:

x=4/3

Step-by-step explanation:

9x+8=12x+4

Subtract 8 from both sides;

9x+8-8=12x+4-8

Simplify;

9x=12x-4

Subtract 12x from both sides;

9x-12x=12x-4-12x

Simplify;

-3x=-4

Divide both sides by -3

-3x/-3=-4/-3

Simplify;

x=4/3

The answer is 12.57

But rounded to the nearest tenth is 12.6

Answer:

the first one since it shows all the lines being equal and therefore making the angles equal

Answer:

AB=DE, BC=EF, AC=DF

Step-by-step explanation:

The first one is correct

Answer:

I think this is the same as yesterday.