Choose the type of variation that relates the variables in the table.
A.) combined variation
B.) Joint variation
C.) inverse variation
D.) direct variation​

Answer:

54.97

Step-by-step explanation:

Answer:

2x² + 7x + 6

Step-by-step explanation:

To solve this polynomial, you need to distribute/multiply, (x+2) with (2x+3).

You would first multiply (x) with 2x and 3. This would give you 2x² and 3x. You would then multiply 2 with 2x and 3. This would give you 4x and 6. You then add the like-terms, which are 3x and 4x, which gives you 7x. This would give you your final expression of 2x² +7x + 6.

(x+2)(2x+3)

2x²+ 3x + 4x + 6

2x² +7x + 6

Answer:

2x^2+7x+6

Step-by-step explanation:

Expand the polynomial (An algebraic expression) using the FOIL (First, Outer, Inner, Last) method.

2x^2+7x+6

(x+2)(2x+3)

First, multiply the variables (x).

(x)(2x) = 2x^2

Then, multiply the whole numbers (2, 3).

(2)(3) = 6

Now, you're not done. You need to multiply the variables and the whole numbers (that weren't already multiplied together)

(x)(3) = 3x

(2)(2x) = 4x

Finally, add them all together, and simplify.

2x^2 + 6 +3x + 4x

=

2x^2+7x+6

what they are saying is n is 3 so 3+11=14

Step-by-step explanation:

Answer:

20.4

Step-by-step explanation:

The answer is 2011.4

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:

[tex]26.68\ \text{feet}[/tex]

Step-by-step explanation:

a = 100 feet

[tex]\angle B=20^{\circ}[/tex]

[tex]\angle C=45^{\circ}[/tex]

[tex]\angle A=180-(20+45)=115^{\circ}[/tex]

From sine rule we have

[tex]\dfrac{\sin B}{b}=\dfrac{\sin A}{a}\\\Rightarrow b=\dfrac{\sin B}{\sin A}a\\\Rightarrow b=\dfrac{\sin 20^{\circ}}{\sin 115^{\circ}}\times 100\\\Rightarrow b=37.73\ \text{feet}[/tex]

[tex]\sin C=\dfrac{h}{b}\\\Rightarrow h=b\sin C\\\Rightarrow h=37.73\times \sin 45^{\circ}\\\Rightarrow h=26.68\ \text{feet}[/tex]

The is seagull is [tex]26.68\ \text{feet}[/tex] above the ground.

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:

12 different toppings

Step-by-step explanation:

Total combination / (number of syrup * Numbe rod ive cream flavors)

540 / (9*5)

540 / 45

= 12

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:

Step-by-step explanation

Remark

The likelihood of an event happening is 28 times out of a hundred.

The chances of it not happening is 72 chances out of a hundred.

Answer:

Unlikely!

Step-by-step explanation:

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:

10.93

Step-by-step explanation:

5.9 ÷ 0.54 = 5.9 x 1/0.54 = 5.9/0.54 = 10.93

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:

72

Step-by-step explanation:

Answer:

[tex]t_{7}[/tex] = 22   is the answer to the first question

d = 4 is the answer to the second question

Step-by-step explanation:

use the formula [tex]a_{n} = a + (n - 1)d[/tex]

6 - 2 = 4 = d  a = -2  n = 7

[tex]t_{7}[/tex] = -2 + (7 - 1)4

   = -2 + 6(4)

   = -2 + 24

   = 22

use the formula [tex]a_{n} = a + (n - 1)d[/tex]

a = 7

n = 4    

[tex]a_{4} = 28[/tex]

28 = 7 + (7 - 1)d

     = 4 + 6d

24 = 6d

d = 4

Answer:

try A im not sure tho

Step-by-step explanation:

lol sorry if its wrong

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:

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:

4 1/7

Step-by-step explanation:

16 4/7 ÷ 4 = 4 1/7

Hope this helps!

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:

pi 50 x^4

Step-by-step explanation:

The volume of a cylinder is

V = pi r^2 h

The radius is 5x  and the height is 2x^2

V = pi (5x)^2 * 2x^2

V = pi ( 25x^2) (2x^2)

   = pi 50 x^4

Answer:

[tex]50\pi x^{5}[/tex]

Step-by-step explanation:

50π[tex]x^{5}[/tex]

Answer:

Cuba, Venezuela, Colombia, Mexico

Answer:

30 + 0.89m

Step-by-step explanation:

I think this is the correct answer.

Answer:

I need more info

Step-by-step explanation:

The value of b that goes with this value of a is 15.

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences. The German mathematician Peter Dirichlet initially offered the contemporary definition of function in 1837: A variable y is said to be a function of the independent variable x if there is a relationship between them such that whenever a numerical value is assigned to x, there is a rule that determines a specific value of y.

As per the given data:

b = 4a - 5

The values of a and c are given in the table correspondingly.

When c is 21

The value of a = 5 and

The value of b = 4(5) -5 = 15

Hence, the value of b that goes with this value of a is 15.

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(The question given is incomplete, the complete question is given below.)

The equation and the tables represent two different functions. Use the equation b=4a-5 and the table to answer the questions. This table represents C as a function of A.

when c is 21 what is the value of a what is the value of b that goes with this value of a

Answer:

30

Step-by-step explanation:

Answer:

- SWIMMING POOLS A swimming pool is 30 feet long by

12 feet wide by 4 feet deep. A cubic yard of water is

27 cubic feet. How many cubic yards of water can the

pool hold? Round to the nearest tenth.

M

Answer:

Step-by-step explanation:

A

Answer:

We have 15 Nickels and 10 Dimes.

Step-by-step explanation:

This is a system of equations! [Literally in a class reviewing that rn}

Lets make a chart:

    Number of Coins  x  Value of Coin = Total Value

Dimes  |   d               |   10                          | 10d

Nickels |   n               |  5                           | 5n

So, When you have a System of Equations with Money, One equations is about the value of the money, and the other about the number of coins.

The First Equation [Number of Coins]:

D + N = 25

the Second Equation [Value of Money]:

10D + 5N = 175

I will use Elimination to solve this, however, graphing and substitution works too.

ELIMINATION:

Multiply First equation by -5

-5[D + N = 25] = -5D - 5N = -125

Add the Two Equations vertically.

-5D - 5N = -125

10D + 5n = 175

---------------------

5D = 50

Divide both sides by 5.

5D/5 = 50/5

D = 10

Substitute D= 10 In any equation and solve for the other variable.

10 + N = 25

Subtract 10 from both sides.

10 - 10 + N = 25 - 10

N = 15

So, we have 15 Nickels and 10 Dimes.

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Hope I Helped, have a Great Day!

        -Aadi x