Rewrite 100⋅(200⋅300) using the Associative Law of Multiplication.

Answer:

Step-by-step explanation:

Given:

AB║DC and BC║AE

To prove:

[tex]\frac{\text{BC}}{\text{EA}}=\frac{\text{BD}}{\text{EB}}[/tex]

                Statements                  Reasons

1). ∠ABE ≅ ∠CDB                    1). Alternate interior angles

2). ∠AEB ≅ ∠CBD                  2). Alternate interior angles

3). ΔCBD ~ ΔAEB                   3). AA property of similarity

4). [tex]\frac{\text{BC}}{\text{EA}}=\frac{\text{BD}}{\text{EB}}[/tex]                             4). Property of similarity [Corresponding sides                                                          of two similar triangles are proportional]

Answer

1. (a) (3,4,5)--3^2 +4^2=9+16=25=5^2

2. (b) 25--172-82=50/2=25

3. (c) 5,000 kg--1,000 kg in 1 tonne

4. (a) 0.4--1-0.6=0.4

5. (d) kilometer

6. (c) hypotenuse

7. (a) grams

8. i think it is (a) 58--5+8+2=15~~8/15 =0.53~closest answer is 58

9. (c) tonne

10. (b) 15 tonnes--1000 kg in 1 tonne

11. (a) #7,600--38000*20%, or 0.20, =7,600

12. (a) 7:30 pm

13. (c) right angle

(c) metric system

Part B

1. True

2. 0.8

3. 30,000 dollars--20,000 +0+5,000+5,000=30,000

4. Planting/watering trees--20 dollars

5. Collecting/burning rubbish--0 dollars

Answer:

2

Step-by-step explanation:

we will find the discriminant of the equation

d = b^2  - 4ac (here, a = 1 , b = 3 , c = 1. from the general formula: ax^2 + bx + c)

d =  9 - 4

d = 5

since d > 0, the roots are real and different

hence, the both the roots of this equation are equal

Answer:

Step-by-step explanation:

16x^2 + 9 = 25

16x^2 = 16

x^2 = 1

x = 1, -1

Answer: k = 12

Step-by-step explanation:

x² + kx + 36 = 0

In order for x to have exactly one solution, it must be a perfect square.

(x + √36)² = 0

(x + 6)² = 0

(x + 6)(x + 6) = 0

x² + 6x + 6x + 36 = 0

x² + 12x + 36 = 0

 k = 12

Answer:

E[N] = 1

Step-by-step explanation:

Here is the hint we are given on this problem - " Write N = [tex]1_{A_1}[/tex] + [tex]1_{A_2}[/tex] + · · · + [tex]1_{A_{ 13}[/tex]where [tex]A_k[/tex] is the event that a match occurs on deal k. "

_____

Now the standard thing is to do is let [tex]X_i[/tex] = 1, if there is a match on the [tex]i[/tex]-th pick and 0 otherwise. The number of matches is given to be [tex]X_1[/tex] + [tex]X_2[/tex] . . . + [tex]X_{13}[/tex]. Knowing that, we can use the linearity of expectation -

There are 13 cards and for [tex]i[/tex]-th pick, the probability of having a card with [tex]i[/tex] number is 1 / 13. Therefore, E[N] = E[[tex]X_1[/tex] + [tex]X_2[/tex] . . . + [tex]X_{13}[/tex]] = 1

_____

Solution: E[N] = 1

Answer:

628

Step-by-step explanation:

We have the standard deviation of the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 12 - 1 = 11

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 11 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.2

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.2\frac{59}{\sqrt{12}} = 37[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 665 - 37 = 628 hours.

The answer is 628

Answer:

21

Step-by-step explanation:

Multiply 3 quarts to 7 hours

Which is 21

Mark me as brainliest

Step-by-step explanation:

Edith picks 3

Rupert picks 3

3 + 3 = 6 quarts of blueberries in 1 hour

6 blueberries = 1 hour

x. =. 7 hours

x = 7 hours ÷ 1 hour × 6 blueberries

x =. 42 quarts of blueberries

Answer:

Second option

Step-by-step explanation:

Focus on the right side only. We have (n+8)(n+5).

Let's use FOIL to expand that out

F = first means we multiply the first terms n and n to get n^2

O = outer tells us to multiply the outer terms n and 5 to get n*5 or 5n

I = inner tells us to multiply the inner expressions 8 and n to get 8n

L = last meaning we multiply 8 and 5 to get 8*5 = 40

Add up those results: n^2+5n+8n+40 = n^2+13n+40

Notice how the like terms (5n and 8n) combine to have the expression simplify a bit.

This shows how (n+8)(n+5) turns into n^2+13n+40, which is why the second choice is the answer. The other choices aren't true equations for all values of n.

Answer:

its b

Step-by-step explanation:

I just took the test

Answer:

The value of the radius is 4.46cm.

Step-by-step explanation:

Given the perimeter is 28 cm. So, if we want to find the radius then we should consider this perimeter as the circumference of the circle. Thus, we have to equate this value with the circumference (perimeter of the circle).

The perimeter of the circle or circumference = 2π r  

Here, π = 22/7

r = radius

Now, 2π r = 28

r = 28 / 2π

r = 4.46 cm

Answer:

,.........................................................

Answer:

I believe it is D

Answer:

  The sum of 3 and the quotient of y and 2.

Step-by-step explanation:

The order of operations requires that you evaluate the expression ...

  3 + y ÷ 2

by first performing the division, then the addition. So, the addition gives you the sum of 3 and a quotient, because the quotient must be evaluated first.

The quotient is of y and 2 (not 2 and y), because the wording "the quotient of a and b" is always interpreted to mean a÷b.

So, the expression can be described as ...

  the sum of 3 and the quotient of y and 2.

Answer:

There are about 3.281 * 3.281 = 10.764 square feet in one square meter. Therefore, 22.5 square feet is 22.5 / 10.764 = 2.09 square meters.

Answer:

  y = -3

Step-by-step explanation:

The y-axis is a vertical line, so the perpendicular line is a horizontal line. It is generally written in the form ...

  y = constant

For the line to go through the point (-5, -3), the constant must match the y-coordinate of the point: -3

  y = -3 . . . . your equation

__

Such a line has a slope of 0, so could be written in "slope-intercept form" as ...

  y = 0x -3

We generally omit terms that evaluate to zero.

Answer:

x = 9y - 4

Step-by-step explanation:

2x - 18y = - 8 /: 2

x - 9y = - 4

x = 9y - 4

Answer:

For this case we know that the price after the 12% of discount is 156 and we want to findd the net price so then we can use the following proportional rule:

[tex] \frac{x}{100} = \frac{156}{100-12}[/tex]

Where x represent the net price. And if we solve for the value of x we got:

[tex] x= 100 *\frac{156}{88}= 177.273[/tex]

So then the net price for this case would be $ 177.273

Step-by-step explanation:

For this case we know that the price after the 12% of discount is 156 and we want to findd the net price so then we can use the following proportional rule:

[tex] \frac{x}{100} = \frac{156}{100-12}[/tex]

Where x represent the net price. And if we solve for the value of x we got:

[tex] x= 100 *\frac{156}{88}= 177.273[/tex]

So then the net price for this case would be $ 177.273

Answer:

  C.  d = 24g

Step-by-step explanation:

The problem boils down to determining the ratio between d and g. That is, for some equation ...

  d = k·g

we want to determine the value of k. Solving the equation for that value, we find ...

  k = d/g

So, we need only to read a point from the graph with sufficient accuracy to determine a good estimate for k.

  (gallons, miles) = (g, d) = (5, 120) is a suitable point

Then ...

  k = d/g = 120/5 = 24

The equation is d = 24g.

Answer:

B and E

Step-by-step explanation:

A terminating decimal is a decimal with a finite number of digits after the decimal point. If we input all of these fractions into a calculator, or solve them by hand, we find that B is equal to 2.5, and E is equal to 0.375, and all the others are repeating decimals.

Answer:

The statistic is misleading because Christopher collects his sample from a population (voters in his state) and make inferences about another population (voters in his city).

Step-by-step explanation:

The statistic is misleading because Christopher collects his sample from a population (voters in his state) and make inferences about another population (voters in his city).

He should make inferences about the population that is well represented by his sample (voters in his state), or take a sample only from voters from his city to make inferences about them.

Answer:

14.45 = 14.5 = 15     8.05=8

Step-by-step explanation:

When rounding use the rule "5 or more raise the score, 4 or less let it rest." We round 14.45 to 14.5 because .45 will round to .50. We are left with 14.50. The .50 rounds the 14 to 15. For 8.05 because there is a 0 before the 5 we leave the number at 8.

Answer:

H0: p = 3.5

H1: p < 3.5

Step-by-step explanation:

We are told that past studies have indicated that the percentage of smokers is estimated to be about 35%, but with the new smoking cessation programs that have been implemented, it is believed that the percentage of smokers has been reduced, we must propose our null and alternative hypotheses, which would be the following:

Null hypothesis: H0: p = 3.5

Alternative hypothesis: H1: p < 3.5

Answer:

Step-by-step explanation:

Area of a rectangle = l × w

where

l is the length

w is the width

The length is seven times the width is written as

l = 7w

Area of the rectangle = 175 cm²

7w × w = 175

7w² = 175

Divide both sides by 7

w² = 25

Find the square root of both sides

w = √25

w = 5cm

But l = 7w

l = 7(5)

l = 35cm

The length is 35cm

The width is 5cm

Hope this helps you.

Answer:

r= 0.19

Step-by-step explanation:

A= $708,050

P=$500,000

'' = 2

$708,050= $500,000(1+r)^2

-Divide $500,000 by both sides

1.4161= (1+r)^2

-Square Root on both sides

1.19= 1+r

-Subtract 1 on both sides

r= 0.19

Complete Question

The  complete question is shown on the first uploaded image

Answer:

The correct option is  A

Step-by-step explanation:

Now  from the question we are given the function

        [tex]f(x) = \frac{10^{2 x} -4}{x}[/tex]

Now  as  [tex]\lim_{x \to 0} [f(x) ] = \frac{10^{2*0} -4 }{0}[/tex]

       =>    [tex]\lim_{x \to 0} [f(x) ] = - \infty[/tex]

This  implies that as [tex]x\to 0[/tex] the function [tex]f(x) \to -\infty[/tex] which means that at  x = 0  the function is not continuous  

Answer:

no solution

Step-by-step explanation:

y=-1/2x+4

2y=-x-8, t=-1/2x-4

These are parallel so no solution

Answer:

The correct answer is no solution.

Step-by-step explanation:

y = -1/2x + 4

x + 2y = -8 → -1/2x + 4

The lines are parallel therefore, leaving us with no solution.

Hope this helped! :)

Answer:

a. 0.67

b. 1.31

Step-by-step explanation:

We have the following information n = 20, mean (m) = 10 and standard deviation (sd) = 3

a.

SE (m) = sd / n ^ (1/2)

replacing we have:

SE (m) = 3/20 ^ (1/2) = 0.67

Therefore the standard error of the mean is 0.67

b.

the critical value is obtained as shown below:

the level of sifnificance is alfa = 1 - 0.95 = 0.05

the critical value with level of significance alfa / 2 = 0.05 / 2 = 0.025

and to this value corresponds z = 1.96 (z table)

The margin of error with 95 confidence is calculated as follows:

E = z * SE

E = 1.96 * 0.67

E = 1.31

Therefore the margin of error is 1.31

(a) The standard error will be "0.67".

(b) The margin of error will be "1.31".

According to the question,

Standard deviation,

Sample size,

(a)

As we know,

→ The Standard error,

= [tex]\frac{sd}{\sqrt{n} }[/tex]

= [tex]\frac{3}{\sqrt{20} }[/tex]

= [tex]0.67[/tex]

(b)

As we know,

→ The margin of error,

= [tex]Z_{a/2}\times \frac{sd}{\sqrt{n} }[/tex]

By substituting the values, we get

= [tex]Z_{a/2}\times \frac{3}{\sqrt{20} }[/tex]

= [tex]1.96\times 0.67[/tex]

= [tex]1.31[/tex]

Thus the above response is right.

Learn more:

https://brainly.com/question/10501147

Answer: 200 ft²

Step-by-step explanation:

The area of a rectangle is length times width

So, simply do 25 * 8 = 200

Hey there! :)

Answer:

A = 200 ft².

Step-by-step explanation:

Use the formula A = l × w to determine the area of a rectangle:

A = 25 × 8

Multiply:

A = 200 ft².

Answer:

y=-1/3x-1

Step-by-step explanation:

We have the information y=3x-5, the lines are perpendicular, and the new line passes through (6,-3). The slopes of perpendicular lines are negative reciprocals so you need to find the negative reciprocal of 3, so flip it to 1/3 and multiply by -1, we get the slope of the new line as -1/3. So far we have the equation y=-1/3x+b. We are given a point on the line, (6,-3), so we can plug these into the equation as x and y to solve for the y-intercept, b. You set it up as -3=-1/3(6)+b. First you multiply to get -3=-2+b, then you add 2 to both sides to isolate the variable and you get b=-1. Then you can use b to complete your equation with y=-1/3x-1.

Answer:

Lateral surface area would be (13*4)*2 + (4*4)*2 = (52*2) + (16*2) = 104 + 32 = 136 units^2.

Surface area would be 136 + 104 = 240 units^2.

Step-by-step explanation:

I hope this helps you!