Add the polynomial expressions using the horizontal format.

(6x3 + 5x) + (4x3 + x2 - 2x + 9)

Question is incomplete :

It costs $4 to go to the swimming pool

The cost of n visits =

Membership at the pool costs $21. Members pay $3 each time. WHAT is The cost for a member to swim including membership fee?

What is the difference between the cost of 15 visits with and without a membership?

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Swimming cost = $4

Cost of swimming n Times = cost per swim * number of swims

= $4 * n

= $4n

Membership cost = $21

Cost per swim for members = $3

Swimming cost including membership fee :

21 + 3n ; n = number of visits

For 15 visits ; n = 15

Amount paid :

Members = 21 + 3(15) = 21 + 45 = $66

Non - Member = 4(15) = 60

Difference :

$66 - 60 = 6

Members incur $6 more than non - members

Answer:

The length of the sides of the square is approximately 11.239 centimeters.

Step-by-step explanation:

Since the circle is inscribed in the square, the length of each side of the square ([tex]l[/tex]), in centimeters, is equal to the length of the diameter of the circle ([tex]D[/tex]), in centimeters. The area of the circle ([tex]A_{c}[/tex]), in square centimeters:

[tex]A_{c} = \frac{\pi\cdot D^{2}}{4}[/tex] (1)

Where [tex]D[/tex] is the diameter of the circle, in centimeters.

If we know that [tex]A_{c} = 99.2\,cm^{2}[/tex], then the length of the sides of the square is:

[tex]D = \sqrt{\frac{4\cdot A_{c}}{\pi} }[/tex]

[tex]l = D \approx 11.239\,cm[/tex]

The length of the sides of the square is approximately 11.239 centimeters.

Answer:

Step-by-step explanation:

One clue about where to start is this: the sentence describes the length by referring to the width. "The LENGTH is blah, blah, blah, the WIDTH. When that happens, choose a variable to represent the width (the quantity being referred to).

Width = w

Length IS three more than (added to) 4 times (multiplied by) the width

Length = 4w + 3

Area of a rectangle is the width multiplied by the length.

Equation: w(4w + 3) = 24

Solve.

Multiply out the left side.

4w^2 + 3w = 24

Subtract 24.

4w^2 + 3w -24 =0

This equation does not factor. Use the Quadratic Formula. One of the solutions is a negative number, so that should be rejected (width can't be a negative number).

[tex]w=\frac{-3+\sqrt{393}}{8}[/tex]

Substitute this into the expression 4w + 3 to find the length. A calculator can give you decimals for both dimensions.

Answer:

A. 6

Step-by-step explanation:

Answer:

A. 6

Step-by-step explanation:

6.16441400297

This rounds to 6.

There are 360 cubic inches of cheese would you have eaten.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

This wedge of cheese is shaped like a triangular prism.

And, The wedge of cheese is 10 inches tall. The base of the cheese is shaped like a triangle with a base of 9 and a height of 8 inches.

Hence, The value of volume of cheese is,

⇒ (1/2 × 9 × 8) × 10

⇒ 36 × 10

⇒ 360 inches³

Thus, There are 360 cubic inches of cheese would you have eaten.

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Answer:

Area = 1/2*(19+4)*4

= 46cm²

Step-by-step explanation:

Hope it helps you!

Answer:

19 + 4 = 23

23 x 4 = 92

92 divided by 2 = 46

Step-by-step explanation:

Formula of a trapezoid:

B1 (base 1) + B2 (base 2) x height x 1/2 (basically dividing by 2)

Answer:

A.

Step-by-step explanation:

The ratio is set as boys to girls in the classroom. For every 3 boys, there are 2 girls in the classroom. This does not mean that there are only 5 people in the class.

Answer:

7:00pm

Step-by-step explanation:

Answer:

174cm^2

Step-by-step explanation:

Given data

L=9m

W=5m

H=3m

The formula for the total surface area of a cuboid is

SA=2lw+2lh+2hw

substitute

SA=2*9*5+2*9*3+2*3*5

SA= 90+54+30

SA= 174cm^2

Hence the surface area is 174cm^2

Answer:

I think it is x=1/1024 not sure but try it

Answer:

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

Step-by-step explanation:

Assuming you mean

[tex]16^{x}[/tex] = [tex]\frac{1}{64}[/tex]

note that 16 = 4² and 64 = 4³ , so

[tex](4^{2} )^{x}[/tex] = [tex]\frac{1}{4^{3} }[/tex]

[tex]4^{2x}[/tex] = [tex]4^{-3}[/tex]

Since the bases on both sides are equal, both 4, then equate exponents

2x = - 3 ( divide both sides by 2 )

x = - [tex]\frac{3}{2}[/tex] ( = - 1.5 )

Answer: independent=t. dependent=v

Step-by-step explanation:

Answer:

C. The standard deviation decreases from 5.63 to 1.85, which means a graph of the values is less spread out without the outlier.

Step-by-step explanation:

I just took the test and got it right! I hope this helps <3

Answer:

[tex] x = 45 \ \& \ y = 5 [/tex]

Step-by-step explanation:

The system of linear equations in two variables is ,

[tex]\begin{cases} x = 9y \cdots (i)\\ x - 5y = 20\cdots (ii) \end{cases}[/tex]

We can easily solve out this Question using substitution method . For that , substituting x = 9y from equation (i) to equation (ii) , we have ,

[tex]\implies x - 5y = 20 \\\\\implies 9y - 5y = 20 \\\\\implies 4y = 20 \\\\\implies y =\dfrac{20}{4}\\\\\implies\boxed{\boxed{ y = 5 }}[/tex]

Substituting this value in (i) ,

[tex]\implies x = 9y \\\\\implies x = 9\times 5 \\\\\implies \boxed{\boxed{ x = 45 }}[/tex]

Answer: (45,5)

Step-by-step explanation:

You're given what x equals: 9y. Substitute that into the equation x - 5y = 20. Your equation should look like this: 9y - 5y = 20. From there, solve for y. 9y subtracted by 5y is 4y. Then, solve 4y = 20. Divide both sides of the equation by 4. The result is y = 5. We now know the y-coordinate in the ordered pair. Substitute this y-value into the first equation: x = 9y. 9(5) = 45. x = 45.

Plug these two values into the ordered pair (x,y).

Answer: The dots are representing the students and the numbers are the number of siblings so " 1 student has 5 siblings in Ms.White's class." and its the same for the other class

Step-by-step explanation:

The required value of the missing sides with the help of trig ratios we have x = 19.9.

If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.

Here,
To find the missing side in the given right triangle, we can use trigonometric ratios. Specifically, we can use the tangent ratio:

Cosine of an angle = opposite side / adjacent side

In this case, we know the measure of one acute angle (19 degrees) and the length of the adjacent side (21). We want to find the length of the opposite side, which we can represent as x.

cos(19°) = x / 21

Multiplying both sides by 21, we get:

x = 21 cos(19°)

Using a calculator, we can evaluate the right-hand side to get:

x ≈ 19.85

Rounding to the nearest tenth, the missing side is approximately 19.9 units long.

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Answer:

b.

[tex] {4}^{15} \times {5}^{10} [/tex]

Step-by-step explanation:

In the given expression u can bring the 5^-2 in the neumerator making it 5^2.

Then multiply both powers by 5.

Answer:

$12,650

No

Step-by-step explanation:

The computation of the increase in salary is shown below:

GIven that

The salary is $11,000

And, the increment percentage is 15%

So based on the above information

The salary after increment is

= $11,000 + $11,000 × 15%

= $11,000 + $1,650

= $12,650

No we dont know how to help veronica

Answer:

I think it is 38+11i not sure but try it

Answer:

C(t) = 0.55t + 7.75, $30.85

Step-by-step explanation:

the fixed cost is $7.75. this is the cost incurred at zero minutes of the taxi ride

the variable cost or the cost per minutes driven =

(13.25 - 7.77) / (10 - 0) = 0.55

total cost = 7.75 + 0.55t

cost of 42 minutes = 7.75 + 0.55(42) = $30.85

Answer:

144

Step-by-step explanation:

sorry if im wrong its been awhile since ive done this

Answer:

(x − 10)(x + 2)

Step-by-step explanation:

i just took the test and thats the right answer:)

Answer:

47.1 ft

Step-by-step explanation:

C = πd

C = 3.14 · 15

C = 47.1

C ≈ 47.1 ft

Answer:

Answers In Images Below \/

Step-by-step explanation:

Answer:

25 minutes

Step-by-step explanation:

Think about how many steps per minute Paul can walk. Knowing that he can walk 15 steps in 5 minutes, we can say that Paul can walk 3 steps/minute.

We're asked to figure out how many minutes it would take him if he walks at a constant speed if he takes 75 steps. So we can just divide 75 steps into 3 steps/minute and then we should get 25 minutes!

Answer:

25 Minutes.

Step-by-step explanation:

Its hard to explain.

Answer:

(1, 6) is the solution

Step-by-step explanation:

-2x + 6y = 34

2x + 2y = 14;     divide by 2

x + y = 7;        subtract x

y = 7 - x

let's substitute y with 7 - x in first equation

-2x + 6*(7 - x) = 34;    expand multiplication

-2x + 6*7 - 6*x = 34;    group

-8x + 42 = 34;         subtract 42

-8x = 34 - 42 = -8;      divide by -8

x = 1

y = 7 - 1 = 6

It is the only solution, as we've arrived at exact numbers.

Answer:

Step-by-step explanation:

Given:

Tax amount:

Correct choice is (c)