You are coordinating the construction of a shelter for homeless people. A large number of college students and members of a religious organization have signed up as volunteers for constructing the shelter. About 30% of these volunteers are skilled, but the rest are not. It is estimated that the total number of man-hours required to complete the construction of the shelter is 1200—if all volunteers are skilled. Three times as many unskilled volunteers are required to complete any job compared to skilled volunteers. The average number of hours a skilled volunteer is available is 10/week while unskilled volunteers are available for 15 hours every week.

The rule is n + 5

So we have that

an = n + 5

Where n is the term, that said we want the 1st, 2nd, 3rd, 4th and 10th term

a1 = 1 + 5 = 6

a2 = 2 + 5 = 7

a3 = 3 + 5 = 8

a4 = 4 + 5 = 9

a10 = 10 + 5 = 15

The option that correctly describes the graph below is A. Piecewise function.

A piecewise function is a function that reacts in different ways based on the input received at every point in time. This function has different intervals and funtions that apply to the respective domains.

Sometimes, these graphsa re recognized by the three main parts that they have. So, the function that is represented by the graph is the piecewise function.

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Answer:

c= 60

Step-by-step explanation:

The value of measure of angle C of a triangle ABC is 60°.

Here,

Given that, in a triangle value of two angles is,

m∠A = 60°+α,  m∠B = 60°−α

We have to find the angle C of a triangle ABC.

What is sum of angle in triangle?

In a triangle, The sum of angles of a triangle is 180°.

Now,

Given that, in a triangle value of two angles is,

m∠A = 60°+α,  m∠B = 60°−α

Let measure of angle C is x°.

⇒ Sum of all angle of triangle = 180°

⇒( 60°+α )+ ( 60°−α ) + x° = 180°

⇒ 120° + x° = 180°

⇒ x° = 180° - 120°

⇒ x° = 60°

Hence, The value of measure of angle C of a triangle ABC is 60°.

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Answer: 1 * 10^9

Step-by-step explanation:

1*10^9 = 1,000,000,000, which is the closest you can get.

Hope it helps <3

Answer:

If you were doing... 25(13x-15 8)-13(12-23x), the answer would be...

624x-3156

If you were doing... 25(13x-158)-13(12-23x), the answer would be...

624x-4106.

Step-by-step explanation: Simplify the expression.

I hope this helps you out! ☺

The simplification of algebraic expression 25(13x - 158) - 13(12 - 23x) is 624x - 4106.

An algebraic expression is an expression built up from constant, variables, and algebraic operations : addition, subtraction, multiplication, division and exponentiation.

To simplify an algebraic expression, we can only add or subtract the like terms. Like terms are variables with same exponent.

Given in the question,

algebraic expression = 25(13x - 158) - 13(12 - 23x)

Simplifying the expression,

[tex]= 25(13x - 158) - 13(12 - 23x)\\\\= 325 x - 3950 - 156 + 299x\\\\=325x + 299x - 3950 - 156\\\\= 624x - 4106[/tex]

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Answer:

62.8318531

10 x 2 = 20 so 20 is the diameter

20 x pi = 62.8318531

Hope this helps

Step-by-step explanation:

The exact circumference of a circle that has a radius of 10 cm is 62.8318531

The circumference of the circle that has a radius of r is defined as the product of diameter to the pie value.

The circumference of the circle = 2πr

Given that circle that has a radius of 10 cm

The circumference is given by

C = 2πr

  = 2π10

   = 20π

10 x 2 = 20

Therefore, 20 is the diameter

So, 20 x π = 62.8318531

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Answer:

B is correct

Step-by-step explanation:

What is need to be done here is to set up an exponential equation for both scenario.

The exponential equation to set up is as follows;

V = P(1 + r)^t

It looks exactly like an equation used to get the amount on a compound interest after a stipulated number of years.

We have the following definitions;

V is the future value.

P is the present value

r is the rate in percentage

t is the time in years

So, for A, we have;

Kindly note that 4% = 4/100 = 0.04

110,000(1+0.04)^t = 110,000(1.04)^t

For B, we have;

6/100 = 0.06

100,000(1+0.06)^t = 100,000(1.06)^t

Now expected value of B is twice that of A.

The equation that defines this would look like;

100,000(1.06)^t = 2(110,000(1.04)^t)

Answer:

you go to th harris right cause u literally have the same summer schools answers

Step-by-step explanation:

Answer:

7,091.61

Step-by-step explanation:

If you have a number 1. (39393939) and you have another number 2. (5555) and you want the second number to get the same amount as the other numbers but evenly, you need to divided the first number with the second number.

Ex. 39393939/ 5555 = 7,091.61

So each bunny will get 7,091.61 carrots.

Answer:

Volume of wheat = 147.26 m³ (check the explanation)

Step-by-step explanation:

The question still lacks some details such as the size of the silo. We will go forward by assuming the size of the silo to aid our calculation. Silos are cylindrical storage structures that range from 3 - 27 m in diameter and 10 - 90 m in height. For the purpose of this question, let's assume that the size of the silo is 5 m (diameter) by 15 m (height).

Let's list out the parameters to be used:

diameter (D) = 5 m; r = D ÷ 2 ⇒ r = 5/2 = 2.5 m,

height (h) = 15 m

Volume of silo = πr²h = π * 2.5² * 15

V (silo) = 294.52 m³

The silo is half full ⇒ ½ * V

Volume of wheat stored is given by half of the silo volume, since the silo is half-full

V (wheat) = ½ * 298.52

V (wheat) = 147.26 m³

Answer:

reflexive property of simliarity

Step-by-step explanation:

Answer:

77

Step-by-step explanation:

The measure of an angle formed by two chords that intersect inside a circle is equal to half the sum of the measures of the intercepted arcs.

(The sum of the measures of the intercepted arcs)/2

(76+78)/2

154/2

77

Answer:

1st one 18

Step-by-step explanation:

you distribute the 1/3 then at 3 then multiply by 3

When I say multiply by 3 I mean 1/3=6 multiply both sides by 3

Answer:

Its A or 18

Step-by-step explanation:

thanks to the other guy

Answer:

6

Step-by-step explanation:

3(4 - 2)

Expand brackets.

3(4) + 3(-2)

12 + - 6

= 6

━━━━━━━☆☆━━━━━━━

▹ Answer

6

▹ Step-by-Step Explanation

Follow PEMDAS:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

3(4 - 2)

3(2)

= 6

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

It is - [tex]\frac{1}{4}[/tex] throughout the line

Step-by-step explanation:

The points O, A and B lie on the line and so the slope will be the same for OA, OB and AB

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = B(- 12, 3) and (x₂, y₂ ) = O(0, 0)

m = [tex]\frac{0-3}{0+12}[/tex] = [tex]\frac{-3}{12}[/tex] = - [tex]\frac{1}{4}[/tex]

Thus the slope is - [tex]\frac{1}{4}[/tex] throughout the line.

Answer:

Wrong values are plotted in the question statement graph.

Please find correct graph.

Step-by-step explanation:

Given that:

[tex]y =x+3[/tex] and [tex]-1<x<5[/tex]

i.e. we can put a value of x in the equation which is greater than -1 and lesser than 5.

OR

we can say, the points where x = -1 and x = 5 will not be included in the graph (they will be shown as hollow circle).

Now, let us put the values one by one:

x = -1, y = -1 + 3 =2

x = 0, y = 0 + 3 = 3

x = 1, y = 1 + 3 = 4

x = 2, y = 2 + 3 = 5

x = 3, y = 3 + 3 = 6

x = 4, y = 4 + 3 = 7

x = 5, y = 5 + 3 = 8

Therefore, the table of values become:

[tex]\begin{center}\begin{tabular}{ c c } x & y\\ -1 & 2\\ 0 & 3 \\ 1 & 4 \\ 2 & 5 \\ 3 & 6 \\ 4 & 7 \\5 & 8\\\end{tabular}\end{center}[/tex]

Points (-1, 2) and (5, 8) will not be included in the graph.

Please find attached corrected graph.

Answer:

[tex]t=\frac{11.5-10}{\frac{4.5}{\sqrt{100}}}=3.333[/tex]    

Critical value

The significance is 5% so then [tex]\alpha=0.05[/tex] and [tex]\alpha/2=0.025[/tex] then the critical value for this case would be [tex] z_{\alpha/2}= 1.64[/tex]. Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis and we can conclude that the true mean is higher than 10 mg

P value

The p value would be given

[tex]p_v =P(z>3.333)=0.000434[/tex]  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 10 mg

Step-by-step explanation:

Information given

[tex]\bar X=11.5[/tex] represent the sample mean

[tex]\sigma=4.5[/tex] represent the population standard deviation

[tex]n=100[/tex] sample size  

[tex]\mu_o =10[/tex] represent the value that we want to test

[tex]\alpha=0.05[/tex] represent the significance level for the hypothesis test.  

t would represent the statistic

[tex]p_v[/tex] represent the p value

Hypothesis to test

We want to test if the true mean is higher than 10mg, the system of hypothesis would be:  

Null hypothesis:[tex]\mu \leq 10[/tex]  

Alternative hypothesis:[tex]\mu > 10[/tex]  

the statistic for this case would be given by:

[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex]  (1)  

Replacing we got:

[tex]t=\frac{11.5-10}{\frac{4.5}{\sqrt{100}}}=3.333[/tex]    

Critical value

The significance is 5% so then [tex]\alpha=0.05[/tex] and [tex]\alpha/2=0.025[/tex] then the critical value for this case would be [tex] z_{\alpha/2}= 1.64[/tex]. Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis and we can conclude that the true mean is higher than 10 mg

P value

The p value would be given

[tex]p_v =P(z>3.333)=0.000434[/tex]  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 10 mg

Answer:

Here we want to find the relative frequencies for both products.

for product A we have a sample of 100 people (our 100%) and all but 33 of them experienced relief.

Then, we can find the relative frequency as:

Pa = (33/100)*100% = 33%

this means that product A is not efficient in 33% of the cases.

For product B, the sample is 50 people (our 100%) and all but 12 of them experienced relief, then the relative frequency is:

Pb = (12/50)*100% = 24%.

This means that product B is not efficient in 24% of the cases.

We can see that, in percentage, the product B seems to be more efficient.

Answer:

24.5

Step-by-step explanation:

Year 2000 would be 1, so year 2016 would be 17

Your equation is 1.5x - 1, and since we have x = 17, we simply plug it in:

1.5(17) - 1

25.5 - 1

24.5 is our estimated population using the line of best fit.

Answer:

23

Step-by-step explanation:

Note that the horizontal axis notes the years since 2000. This means that each increase in the x axis increases the year by 1. Thus, it means that at x=1, it is 2001, at x=2, it is 2002. In other words, in 2016, x=16.

We can just put this number into the equation:

y=1.5(16)-1

y=24-1

y=23

Answer:

Step-by-step explanation:

This is exponential, of the form

[tex]y=a(b)^x[/tex] where a is the initial amount and b is the growth/decay rate. If Ginny begins the study with 1200 frogs in the population, our a value is 1200.

If the population is decreasing 3% per year, it is decreasing 100% - 3% = 97% which, as a decimal, is .97. Our exponential function, then, is

[tex]y=1200(.97)^x[/tex]

Answer: 15 weeks

Step-by-step explanation:

Because there are 7 days in a week, simply divide 105/7 to get 15 weeks.

Hope it helps <3

Hi there! Hopefully this helps!

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Answer: There are 15 weeks in 105 days.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Since there are 7 days in a week, we need to divide the time value by 7 .

Like this:

105 / 7 = 15.

Answer:

AC = 4 units

Step-by-step explanation:

[tex] OB = OC = 3 (Radii \:of \:same \:circle) \\

OA = OB + AB = 3 + 2 = 5\\

OA \perp AC.. (tangent\: \perp radius) \\

\therefore m\angle OCA = 90\degree \\[/tex]

By Pythagorean theorem:

[tex] AC^2 = OA^2 - OC^2 \\

= 5^2 - 3^2 \\

= 25-9\\

= 16\\

AC =\pm \sqrt{16}\\

AC = \pm 4[/tex]

Since, side of a triangle can't be negative.

Therefore, AC = 4 units

Answer:

15%

Step-by-step explanation:

Price of daily tickets entrance

Adult=£55

Children=£45

Family (2 adults and 2children)=£170(discount price)

Let

price for adults=a

Price for Children=c

Price of tickets without discount for 2 adults and 2 children=2(a+c)

=2(55+45)

=2(100)

=£200

Percentage discount offered with the family tickets=difference in price/original price×100

=£200-£170/200×100

=30/200×100

=30/2

=15%

The Percentage discount offered with the family tickets=15%

Answer: Option A

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

There are 12 different sums.

4 of the sums are 9, 9, 10, 11.

All other sums are 8 or less.

p(9 or more) = 4/12 = 1/3

Answer:

(x - 2) and (x + 3) is a factor of: 2x² + 2x - 12

Step-by-step explanation:

2x² + 2x - 12 given equation

Now divide it by 2 we get,

x² + x - 6

then

x² + x - 6

x² + 3x - 2x - 6

x(x + 3) - 2(x + 3)

(x - 2) (x + 3)

Answer:

2 ( x+3)(x-2)

Step-by-step explanation:

2x^2+2x−12

Factor out 2

2 ( x^2 +x-6)

Factor inside the parentheses

What 2 numbers multiply to -6 and add to 1

3*-2 = -6

3+-2 =1

2 ( x+3)(x-2)

Answer:

The answer is 6.

Step-by-step explanation:

6 ÷ 3 = 2

2+4 = 6

Answer:

We accept H0, Therefore we conclude that there is no evidence to support the claim that less than 20% of the pumps are inaccurate.

Step-by-step explanation:

We have,

x = 1334

n = 1334 + 5663 = 6997

we have to:

p = x / n = 1334/6997 = 0.1907

The hypothesis is:

H0: P = 0.20

H1: P <0.20

P = 0.2 and Q = 1 - P = 0.8

the test statistic is:

Z = (p - P) / [(P * Q / n) ^ (1/2)]

replacing:

Z = (0.1907 - 0.20) / [(0.2 * 0.8 / 6997) ^ (1/2)]

Z = -1.96

now, the p-value is

P = 0.0250, from normal table, attached

Here p-value> 0.01, so we accept H0, Therefore we conclude that there is no evidence to support the claim that less than 20% of the pumps are inaccurate.

the answer is A. 1,073 ft

Answer:

(7/2, -5/2)

Step-by-step explanation:

We can solve this multiple ways: Algebraically (Substitution or Elimination) or Graphically

Step 1: Write 1st equation in terms of y

y = 8 - 3x

Step 2: Substitute y of 2nd equation

x - 3(8 - 3x) = 11

Step 3: Solve for x

x - 24 + 9x = 11

10x - 24 = 11

10x = 35

x = 7/2

Step 4: Plug x to find y

3(7/2) + y = 8

21/2 + y = 8

y = -5/2

Answer:

Step-by-step explanation:

let's organize our information :

The trick here is to multiply x-3y=11 by -3 then add it to 3x+y=8 to get rid of x and get a normal equation

we get : -3x+9y= (-33)

then after the addition : 3x+y-3x+9y=8-33⇔ 10y=(-25)

   so y=(-25)/10= -5/2

so y= (-5/2) and x= 21/6