Parallel lines m and n are cut by a transversal t. Which two angles are corresponding angles? A. 1 and 5 B. 1 and 6 C. 1 and 2 D. 1 and 7

Answer:

Step-by-step explanation:

4w⁻¹ = 4/w¹ = 4/w

The length of the 1 inch nail weighing 18 mg is 25.4 mm

An equation is an expression showing the relationship between numbers and variables.

Weight is the quantity of matter stored in an object. The SI unit of weight is the kilograms.

1 inch = 0.0254 meter

1 m = 1000 mm

Given the nail is 1 inch, hence:

1 inch = 0.0254 m

0.0254 m = 0.0254 m * 1000 mm/m = 25.4 mm

The length of the nail is 25.4 mm

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Answer:

20.4

Step-by-step explanation:

The answer is 2011.4

Answer:

4 glasses, point is (32,4)

Step-by-step explanation:

Really tired but if you want an explanation, do tell me.

Answer:

1.84

Step-by-step explanation:

I think you gave the wrong information because if you divided 81 by 44 you will get 1.84...

Answer:B i think if wrong im so sorry

Step-by-step explanation:

Answer:

B 75+25h

Step-by-step explanation:

$75 is the first charge for the service and is constant. $25(per hour) is not constant and changes as the time (hours) changes. That's why it has a h next to it, the h is the variable to hold the place for the hours that would be multiplied in the problem.

Answer:

Step-by-step explanation:

A

Answer:

x = 6

Step-by-step explanation:

3x + 4 = 22

subtract 4

3x = 18

divide by 3

x = 6

Answer:

x=6

Step-by-step explanation:

Subtract 4 from each side of the equation to get 3x=18. divide 18 by 3 to get 6, and divide 3x by 3 to get x. x=6

Given:

The area model for [tex]2.1\times 3.2[/tex].

To find:

The value of [tex]2.1\times 3.2[/tex] and the missing values in the area model.

Solution:

2.1 can be written as 2 and 0.1 on the left side of the area model.

3.2 can be written as 3 and 0.2 on the top of area model.

Area of the four parts of the area model are:

[tex]2\times 3=6[/tex]

[tex]2\times 0.2=0.4[/tex]

[tex]0.1\times 3=0.3[/tex]

[tex]0.1\times 0.2=0.02[/tex]

The complete area model is shown below.

After adding all areas of the area model, we get

[tex]6+0.4+0.3+0.02=6.72[/tex]

Therefore, the value of [tex]2.1\times 3.2[/tex] is 6.72 and the missing values of the area model are 0.3 and 0.02 respectively.

Answer:

$22,200 over all

Step-by-step explanation:

The compound interest after 20 years is $22700.

Compound interest is the interest you earn on interest. Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.

For the given situation,

The principle, p = $10,000

Rate of interest, r = 6.1% = 0.061

Compounded continuously, n = 1

Number of years, T = 20

The amount formula of compound interest is

[tex]A=p(1+\frac{r}{n} )^{T}[/tex]

On substituting the above values,

⇒ [tex]A=10000(1+\frac{0.061}{1} )^{20}[/tex]

⇒ [tex]A=10000(1.061)^{20}[/tex]

⇒ [tex]A=32681.9[/tex] ≈ [tex]32682[/tex]

The compound interest can be calculated as

[tex]CI=A-P[/tex]

⇒ [tex]CI=32682-10000[/tex]

⇒ [tex]CI=22682[/tex] ≈ [tex]22700[/tex]

Hence we can conclude that the compound interest after 20 years is $22700.

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Answer:

25; 15^2+20^2=625. 25^2=625, therefore the answer is 25.

Complete question :

Find the balance in the amount after the given period. 5000 principal earning 7% compounded annually for 7 years

Answer:

8,028.91

Step-by-step explanation:

Given :

Principal, P = 5000

Rate, r = 7% = 0.07

Period, t = 7 years

Using the compound interest formula :

A = P(1 + r/n)^nt

A = final amount ; n = number of compounding times per period

A = 5000(1 + 0.07/1)^(1*7)

A = 5000(1 + 0.07)^7

A = 5000(1.07)^7

A = 5000 * 1.60578147647843

A = 8028.90738239215

Amount saved = 8,028.91

Answer:

4 1/7

Step-by-step explanation:

16 4/7 ÷ 4 = 4 1/7

Hope this helps!

Answer:

3a+5b

Step-by-step explanation:

Variable 1:  a = candy corn

Variable 2: b = chocolate

Inequality 1:  60 ≥ 3a + 5b

Inequality 2: 20 ≤ 3a + 5b

The inequalities are as such because Josh needs to spend no greater than $60.  He must also buy at least 20 bags of candy.  The candy corn costs $3, while the chocolate costs $5.  An expression for the total cost of the candy would be 3a + 5b.

Answer:

H) 45,000 + 2,500 x = 54,000 + 1,500x

Step-by-step explanation:

Let the number of years be represented as x

For Jerry

Jerry has a new job and earns a salary of $45,000.Jerry will receive a salary increase of $2,500 per year,

The equation is

45,000 + 2,500x

Victoria has a new job and earns a salary of $54,000. and Victoria will receive a salary increase of $1,500 per year.

The equation is :

54,000 + 1,500x

The equation that can be used to find x, the number of years it will take Jerry to earn the same salary as Victoria is given as

Equation for Jerry = Equation for Victoria

45,000 + 2,500x = 54,000 + 1,500x

Option H is the correct option

Answer:

The answer is "0.274 and 0.841"

Step-by-step explanation:

Given:

In this question, let X  the binomial random variable with the parameters:

[tex]n = 1000\\\\P = 0.193[/tex]

Calculating the random variable Z:

[tex]Z= \frac{X - np}{\sqrt{np(l - p)}}=\frac{x -193}{12.48}[/tex]

is an approximately regular, cumulative random variable with [tex]\Phi[/tex] specified in the back of the book in the tables.

Using the continuity and tables to calculate:

[tex]\to \mathbb{P} (X > 200) = \mathbb{P} (X\geq 200.5) \approx \mathbb{P}(Z\geq 0.6)=1- \Phi(0.6) \approx 0.274 \\\\\to \mathbb{P} (180 < X < 300) = \mathbb{P} (180.5 \leq X \leq 299.5) = \approx \mathbb{P} (-1 \leq Z\leq 8.53) = \approx 1- \Phi(-1) \approx 0.841[/tex]

(a) The probability that more than 200 persons throughout the sample have a disability will be "0.08691".

(b) The probability that between 180 - 300 people throughout the sample have a disability will be "0.85122".

According to the question,

Majority percentage, P = 19.3% or,

                                       = 0.193

Sample person, n = 1000

Q = 1 - P

   = 1 - 0.193

   = 0.807

By using Normal approx. to Binomial,

→ Mean, E(X) = n × P

By substituting the values,

                     = 1000 × 0.193

                     = 193

Standard deviation, X = √n × p × Q

                                      = √1000 × 0.193 × 807

                                      = 12.4800  

(a)

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

  = [tex]\frac{210-193}{12.48}[/tex]

  = 1.36

The probability be:

→ P(X > 210) = 1 - P (Z < 1.36)

                    = 1 - 0.9131

                    = 0.08691

(b)

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

  = [tex]\frac{180-193}{12.48}[/tex] or, [tex]\frac{300-193}{12.48}[/tex]

  = 8.57

hence,

The probability be:

→ P (180 < X < 300) = P(Z < 8.57) - P(Z < -1.04)

                                = 1 - 0.1488

                                = 0.85122  

Thus the answers above are correct.

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Answer:

The bigger angle is 135, and the smaller angle is 45.

Step-by-step explanation:

First, you have to know that supplementary angles add up to 180°.

We have no equations for the angles, so I will use the variable x for the value of the smaller x.

The reason for this: the problem gave the value of the bigger angle, but relative to the smaller angle. Therefore, it would be safe to assume the use of a variable for the smaller angle.

Since the bigger angle is 3 times as large as the smaller, we can say that the bigger angle is 3x, or 3 times x.

Now, we can put this in an equation: 3x+x=180. Like I said before, both of the angles add up to 180 degrees.

To solve the equation:

1. Combine like terms

4x=180

2. Divide both sides by 4

x=45

Now that we have the value of x, we can plug that in to 3x and x to find the angles.

3*45=135, which is the bigger angle

45, which is the smaller angle.

Answer:

60 degrees

Step-by-step explanation:

s = r (theta)

(theta) = s/r

= 1 / (3/π) = π/3

as a degree π/3 x 180/π = 60

60 degrees

*Circumference = 2πr

6 = 2πr

r = 6/2π = 3/π

Answer:

Cuba, Venezuela, Colombia, Mexico

Answer:

27

Step-by-step explanation:

3x−y2​= ? if x= 7 & y= -3

Step 1 insert the numbers where they go:

3(7)-(-3)2=

Step 2 the two negatives become a positive:

3(7)+(3)2=

Step 3 multiply:

21+6=

Step 4 add:

27

Answer: A. 40%

amount achieved: 600/1000 = 3/5

amount not achieved = 2/5

2/5 as percent is 40%

Answer:

8 feet²

Step-by-step explanation:

A = lw

A = 4(2) = 8 ft squared

Answer:  8 feet squared

Step-by-step explanation:

area=lw

area=4x2

area=8

Answer:

slope 1/2

Step-by-step explanation:

Answer: problem 1 A

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Answer:

f(x) = (x - 3)(x - 4)

Step-by-step explanation:

f(x)= x^2 - 7x +12 factors immediately into f(x) = (x - 3)(x - 4).

The roots are {3, 4}

Answer:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Step-by-step explanation:

Exact Form:

[tex]x=-\frac{1}{2} , \frac{4}{3}[/tex]

Decimal Form:

x=-0.5, -1.¯3

Hope this helps     :)

Answer:

Emily ,  don't put your whole name in the questions :DDDD, it's at the top of the page, anyway,     Eloper   .. :DDD

Step-by-step explanation:

It's arithmetic  b/c  you're just adding  1

arithmetic

1

1

are the answers ,  the last one is b/c that's the common difference.