Three chains, each 14 feet in length, are
linked end to end. Two longer chains of
equal length are added to make a total
length of 100 feet. What is the length of
one of the longer chains?
A. 29 ft
B. 36 ft
C. 42 ft
D. 58 ft
E. 72 ft

Answer:

Step-by-step explanation:

Answer:

2[tex]\sqrt{10\\}[/tex]

Step-by-step explanation:

Because this is a right triangle, we have:

[tex]x^{2} + 3^{2} = 7^{2} (Pytago)\\x^{2} + 9= 49\\x^{2} =40\\x=\sqrt{40} \\x=2\sqrt{10}[/tex]

Answer:

0, 8, 5i, -51

Step-by-step explanation:

Just calculate algebraically. Let me know if you need a more elaborate explanation.

Answer:

The Constant is 9/2

Answer:

SSS Postulate

Step-by-step explanation:

The first says 2 sides are the same

The second says 2 sides are the same

The last says 2 sides are the same

Side side side

SSS Postulate

Answer:

The p-value of the test is 0.166 > 0.05, which means that there is not sufficient evidence at the 0.05 significance level to conclude that the bags contain more than 23.6 ounces.

Step-by-step explanation:

A company distributes candies in bags labeled 23.6 ounces. Test if the mean is more than this:

At the null hypothesis, we test if the mean is of 23.6, that is:

[tex]H_0: \mu = 23.6[/tex]

At the alternative hypothesis, we test if the mean is of more than 23.6, that is:

[tex]H_1: \mu > 23.6[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

23.6 is tested at the null hypothesis:

This means that [tex]\mu = 23.6[/tex]

The local bureau of weights and Measures randomly selects 60 bags of candies and obtain a sample mean of 24 ounces. Assuming that the standard deviation is 3.2.

This means that [tex]n = 60, X = 24, \sigma = 3.2[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{24 - 23.6}{\frac{3.2}{\sqrt{60}}}[/tex]

[tex]z = 0.97[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean above 24, which is 1 subtracted by the p-value of z = 0.97.

Looking at the z-table, z = 0.97 has a p-value of 0.834.

1 - 0.834 = 0.166

The p-value of the test is 0.166 > 0.05, which means that there is not sufficient evidence at the 0.05 significance level to conclude that the bags contain more than 23.6 ounces.

1. the question is asking you to multiply the two function expressions together

2. so all we do is (3x - 1)(x² + 4) which gives you 3x³ + 12x - x² - 4

Answer:

Create a function representing number of published articles per month:

[tex]a=12m+60[/tex]

Where:

Now substitute in the values of m to get the a-value:

Answer: 184.92 lbs

Step-by-step explanation:

If the total amount they made in 2 days was 369.84, the avg per day would just be half of that

369.84/2=184.92 lbs

Answer:

The factory made 184.92 pounds of milk chocolate per day.

Step-by-step explanation:

369.84 ÷ 2 = 184.92

Have a great day :)

Answer:

the mode is 4 because it appears the most times in the detail set

Answer:

The mode is 3

Step-by-step explanation:

The mode of a set of numbers is whatever number appears the most. So here, you have four 4's, which is the most common number

Answer: 63.64 cm² (rounded to the hundredth place)

Step-by-step explanation:

Concept:

Here, we need to understand how to find the area of a circle.

The general formula is: A = πr²

π = 3.14 (or any constants that equals to this value)

r = radius = (1/2) diameter

Solve:

π = 22/7

r = d/2 = 9 / 4 = 4.5

A = πr²

A = (22/7) (4.5)²

A = (22/7) (4.5)²

A = 63.64 cm² (rounded to the hundredthe place)

Hope this helps!! :)

Please let me know if you have any question

Answer:

63.64 cm²

Step-by-step explanation:

r = d/2 = 9 / 4 = 4.5

A = πr²

A = (22/7) (4.5)²

A = (22/7) (4.5)²

A = 63.64 cm² (rounded to the hundredth place)

Answer:

20 books

Step-by-step explanation:

35/1.75

20

Answer:

c 6m hope to help

tjabssb

Answer:

3 m

Step-by-step explanation:

because all sides are equal

Answer:

1-[tex]\frac{2 }{\pi }[/tex] = 1- .64 = .36 = 36%

[tex](4\sqrt{2}) ^{2} = 32\\[/tex]

[tex]\pi 4^{2}[/tex]= 16[tex]\pi[/tex]

[tex]\frac{32}{16\pi }[/tex]= [tex]\frac{2 }{\pi }[/tex]

Step-by-step explanation:

Answer:

(-1,-6)

Step-by-step explanation:

(13 + x)/2 = 6

13+x= 12

x = -1

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

(-2 + y ) / 2 = -4

-2 + y = -8

y = -6

The coordinates of the other endpoint will be (-1,-6). The correct option is C.

Divide the measurement of the distance between the two end locations by 2. The middle of that line is located at this separation from either end.

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

Given that the midpoint of a segment is (6,−4) and one endpoint is (13,−2).

The x- coordinate will be calculated as:-

(13 + x)/2 = 6

13+x= 12

x = -1

The y-coordinate will be calculated as:-

(-2 + y ) / 2 = -4

-2 + y = -8

y = -6

Therefore, the coordinates of the other endpoint will be (-1,-6). The correct option is C.

To know more about midpoints of the line follow

https://brainly.com/question/24431553

#SPJ2

Hi there!  

»»————-　★　————-««

I believe your answer is:  

False.

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

⸻⸻⸻⸻

[tex]10.00 - 7.50 = 2.50[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

See explanation

Step-by-step explanation:

Given

[tex]\triangle LMN \to \triangle PQR[/tex]

[tex]k = 1.25[/tex]

Required

The length of PQ

[tex]\triangle LMN \to \triangle PQR[/tex] means that the side lengths of LMN are multiplied by 1.25 to get the side lengths of PQR

And it implies that the following sides are corresponding

[tex]LM \to PQ[/tex]

[tex]MN \to QR[/tex]

[tex]LN \to PR[/tex]

So, we have:

[tex]PQ = k * LM[/tex]

[tex]PQ = 1.25* LM[/tex]

The question is incomplete.

Assume LM = 16, then:

[tex]PQ = 1.25* 16[/tex]

[tex]PQ = 20[/tex]

Answer:

Step-by-step explanation:

Let the initial number of people on the boat be x:

x - 26 - 22 = 74

x -48 = 74

x = 74 + 48

x = 122

Answered by  G a u t h m a t h

Answer:

2,-2

you just have to look at the "menu" of choices and determine which one of the choices

fits the question... the f(-4) says you have to see which one of the three

choices has -4 in it ...

the middle one does -4≤x≤1 -4 is for sure in the range

this question #1 answer is "2" because the result is always a 2 for that choice...

the next question put in 3 ... three is greater than 1 (that is the third choice)

so the result is -(3) + 1 = -2

your answers are 2, and -2

Step-by-step explanation:

Answer:

449 100

Step-by-step explanation:

0.2% × 450000÷ 100=900

450000-900= 449 100

Answer:

Step-by-step explanation:

The answer is 449100 pounds .

Answer:

C

Step-by-step explanation:

Given 2 secants from an external point to the circle, then

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant , that is

ML × KM = MN × MR, substitute values

7 × KM = 6(6 + 8)

7 KM = 6 × 14 = 84 ( divide both sides by 7 )

KM = 12 → C

Answer:

C.) 12

Step-by-step explanation:

I got it correct on founders edtell

ll,,Step-by-step explanation:

Answer:

Justin did not eat 7/12 of the pizza

Step-by-step explanation:

Marc eats 1/6 × 24 = 4, 24 - 4 = 20 left over

Claudine eats 1/4 × 20= 5, 20 - 5 = 15 left over

Sylvia eats 1/3 × 15 = 5, 15 - 5 = 10 left over

Justin eats 10.

24 - 10 = 14

Justin did not eat 14/24 = 7/12

Answer:

1/24 (fraction form)

hope this helps

Answer:

$5000 per year

Step-by-step explanation:

Given data

initial value of the computer= $30000

Final value = $0

Duration= 6years

Hence the rate of change in the value per year is

=30000/6

=$5000 per year

Answer:

x = 5.9

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp /adj

tan 26 = x /12

12 tan 26 =x

x=5.85279

Rounding to the nearest tenth

x = 5.9

Answer: D

Step-by-step explanation:

To get rid of denominator in x, multiply everything by 3

3y=2x+21

Move the variables to the left

-2x+3y=21