In Rebecca's neighborhood, 64% of the houses have garages and 49% have a garage and a pool. What is the probability (in percent) that a house in her neighborhood has a pool, given that it has a garage? Round your answer to 1 decimal place.​

The given expression \(m^6p^{-3}v^{10} .\ m^2p^5v^2\) for all values of m, p, and v is equivalent to \(m^{8}p^{2}v^{12}\). Therefore, option D is the right choice for this question.

Monomials are algebraic expressions with single terms. They can be said to be specialized cases of polynomials.

We are given the algebraic expression - \(m^6p^{-3}v^{10}\) . \(m^2p^5v^2\)

To simplify it we will use the rules of the indices as follows -

\(a^{m}.\ a^{n} = a^{m+n}\)

Now,

\(m^6p^{-3}v^{10}\) . \(m^2p^5v^2\)

Segregating the like variables, we get,

= \((m^6.\ m^2) .\ (p^{-3}.\ p^{5}) .\ (v^{10}.\ v^{2})\)

by using the rules of indices, we will get,

= \((m^{6+2}) .\ (p^{-3+5}) .\ (v^{10+2})\)

= \((m^{8}) .\ (p^{2}) .\ (v^{12})\)

= \(m^{8}p^{2}v^{12}\)

Hence, the given expression \(m^6p^{-3}v^{10} .\ m^2p^5v^2\) is equivalent to \(m^{8}p^{2}v^{12}\).

Therefore, option D is the right choice for this question.

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Answer:

work is attached and shown

Answer:

Ken's misunderstanding is that you have to round starting from the 1st number that is behind what your rounding to. In this case Ken needs to start from 1 and round instead of starting from 3. So  you would round the 9,000 by looking at the 1 and seeing if you should round up or down. You want to round down because 1 is less than 5. If Ken rounds from 1 the real answer should be 9,000

Step-by-step explanation:

Answer:

200.96 ft^2

Step-by-step explanation:

The area of a circle is pi * r^2

This means that the area of that circle is pi * 8^2

8^2 * pi = 64 * 3.14 = 200.96

The indefinite integral of\(\int\limits^a_b {(x+5)}\sqrt{2-2} \, dx\)  is \((2/5)(2-x)^{5/2} - (14/3)(2-x)^{3/2} +C\) 

To find the indefinite integral of ∫(x + 5)√(2 – x) dx by making a change of variables, follow these steps:

1. Choose a substitution for one of the variables. Let's substitute u for (2-x):
  u = 2 - x

2. Differentiate both sides of the equation with respect to x to find du/dx:
  du/dx = -1

3. Rearrange the equation to isolate dx:
  dx = -du

4. Substitute the expressions for u and dx back into the integral:
  ∫(x + 5)√(2 – x) dx = ∫(2 - u + 5)√u (-du)
 

Simplify the expression:
  ∫(7 - u)√u (-du)

5. Now, evaluate the integral:
  -∫(7 - u)√u du

6. Distribute the -1 into the integrand and split the integral into two separate integrals:
  ∫(u√u - 7√u) du

7. Rewrite the integrals using exponents instead of radicals:
  ∫(u^(3/2) - 7u^(1/2)) du

8. Integrate each term separately:
  (2/5)u^(5/2) - (14/3)u^(3/2) + C

9. Substitute back the original variable, x, for u:
  (2/5)(2-x)^(5/2) - (14/3)(2-x)^(3/2) + C

Therefore, the indefinite integral of ∫(x + 5)√(2 – x) dx is  (2/5)(2-x)^(5/2) - (14/3)(2-x)^(3/2) + C.

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Answer:

-15

Step-by-step explanation:

I think

Beatrice made 11 sales this week. The solution has been obtained using linear equations.

What is linear equation?

A linear equation is one that has the highest degree of 1 possible. This indicates that there are no variables in a linear equation with exponents greater than 1. Such an equation on the graph, forms a straight line.

Let the sales of Beatrice be 'x'.

Since, Marshall made 5 more sales than Beatrice, we get

Sales of Marshall= x+5

Thus, Earnings of Beatrice = $276 + $11x

Earnings of Marshall = $29 + $23(x+5)

We are given that Beatrice and Marshall have earned the same amount this week, therefore,

⇒$276 + $11x = $29 + $23(x+5)

⇒$276 + $11x = $29 + $23x + $115

⇒$12x = $132

⇒x = $132/$12

⇒x = 11

Hence, Beatrice made 11 sales this week.

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Answer:

The answer is B

Step-by-step explanation:

6/9+1/3=9/9

Hope this helps

Answer:

Answer is C

Step-by-step explanation:

Because you divide each side by 2 because that is the scale factor

The circumference of the circle is 26.38 inches and the area of the circle is 55.39 square inches, both rounded to the nearest hundredth.

The diameter of a circle is the distance across the circle passing through its center. In this problem, the diameter of the circle is given as 8.4 inches. We can use the formula for the circumference and the area of a circle in terms of its diameter to find the solutions.

First, we can find the radius of the circle by dividing the diameter by 2. So, the radius is 8.4/2 = 4.2 inches.

To find the circumference of the circle, we can use the formula:

C = πd

where d is the diameter. Substituting the value of d = 8.4 inches and π = 3.14, we get:

C = 3.14 x 8.4 = 26.376

Therefore, the circumference of the circle is 26.38 inches (rounded to the nearest hundredth).

To find the area of the circle, we can use the formula:

A = πr²

where r is the radius. Substituting the value of r = 4.2 inches and π = 3.14, we get:

A = 3.14 x (4.2)² = 55.3896

Therefore, the area of the circle is 55.39 square inches (rounded to the nearest hundredth).

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A second linearly independent solution of y₂ is \(-\frac{1}{6x^3}\)

The general Equation is y" + P(x)y' + q(x)y = 0 ...............(i)

where P(x), Q(x) are continues in the internal I ≤ R.

If y₁(x) is a solution of equation 1 in I then y₁(x) ≠ 0.

Then y₂(x) = y₁(x)\(\int{\frac{e^{-\intP(x)dx}}{(y_{1}x)^2}}dx\) is another solution.

The differential equation is x²y" + xy' – 9y = 0 where x > 0.

As y₁(x) = x³ is one solution of differential equation.

Divide throughout by (x²) to given differential equation.

1/x² (x²y" + xy' – 9y = 0)

y" + (y'/x) – (9/x²)y = 0 ................(ii)

By comparing equation (i) & (ii) we get:

p(x)=1/x , q(x)= –are continuous for x>0

So, another solution,

y₂(x) = y₁(x)\(\int{\frac{e^{-\intP(x)dx}}{(y_{1}x)^2}}dx\)

Now putting the values of P(x) And Q(x)

y₂(x) = \(x^3\int\limits {\frac{e^{\int(1/x)dx} }{(x^3)^2}} \, dx\)

y₂(x) = \(x^3\int\limits {\frac{\frac{1}{x} }{x^6} }} \, dx\)

y₂(x) = \(x^3\int\limits {\frac{1}{x^7} }} \, dx\)

y₂(x) = \(x^3\int\limits {x^-7} } \, dx\)

y₂(x) = \(x^3\left[\frac{x^{-7+1}}{-7+1}\right]\)

y₂(x) = \(-\frac{1}{6}(x^3\times x^{-6})\)

y₂(x) = \(-\frac{1}{6x^3}\)

So, the answer of this question is \(-\frac{1}{6x^3}\).

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Answer:

C. AB = 5.8 cm

Step-by-step explanation:

In trapezoid ABCD, EF is Midsegment.

\( \therefore EF =\frac{1}{2} (AB + CD) \)

\( \therefore 9.2 =\frac{1}{2} (AB + 12.6) \)

\( \therefore 9.2\times 2= AB + 12.6\)

\( \therefore 18.4= AB + 12.6\)

\( \therefore 18.4-12.6= AB \)

\( \therefore AB= 5.8 \: cm \)

Hope this helps!!!

Have a great day!!!

The 12.04< \(6.54 * 10^2\) number sentences are true.

Option (A) is correct.

An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Zero is not a fraction or decimal of any number. It is neither positive nor negative.

Given:

The given number is

12.02 and \(6.54*10^2\)

We have to choose the sentences are true.

According to given question we have

The greater-than sign is a mathematical symbol that denotes an inequality between two values.

6.54 x 10^2

When we can multiply the value of 6.54*100 we get

654

The number is greater than 12.02

i.e  654>12.04

It is written as

12.04< \(6.54 * 10^2\)

Therefore, the 12.04< \(6.54 * 10^2\) number sentences are true.

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TO FIND THE SLOPE OF THIS LINE LET US FIRST ARRANGE IT TO THE GENERAL EQUATION OF A STRAIGHT LINE Y=MX+C

\(6y = - 30 - 5x \\ \frac{6y}{6} = \frac{ - 30}{6} - \frac{5x}{6} \\ y = - 5 - \frac{5x}{6} \)

WE KNOW THAT THE SLOPE OF A LINE IN THE GENERAL EQUATION OF A STRAIGHT LINE Y=MX+C IS THE COEFFICIENT OF X.

IN THIS CASE THE SLOPE OF THE LINE IS

\( - \frac{5}{6} \)

GOODLUCK

Answer:

m= -5/6

Step-by-step explanation:

Use the slope-intercept form

y=mx+b to find the slope

Answer:

f(0) = 0.25 = 1/4

f(x) = f(x-1) × 2/3

Step-by-step explanation:

a0 = 0.25×(2/3)⁰ = 0.25×1 = 0.25 = 1/4

a1 = 0.25×(2/3)¹ = 0.25×(2/3) = 1/4 × 2/3 = 2/12 = 1/6 =

= a0 × 2/3

a2 = 0.25×(2/3)² = 0.25×(4/9) = 1/4 × 4/9 = 4/36 = 1/9 =

= a1 × 2/3

=>

an = an-1 × 2/3, n >= 1

but what about negative x ?

is a0 = a-1 × 2/3 ?

\(a - 1 = 0.25 \times {(2 \div 3)}^{ - 1} \)

so, yes, a0 = a-1 × (2/3)

and a-1 = a-2 × (2/3)

...

Answer:

the fomular is (y,-x)

Step-by-step explanation:

the clock wise rotation simply means refection in the y-axis

An experiment usually has three kinds of variables: independent, dependent, and controlled. The independent variable is the one that is changed by the scientist.

In mathematical modeling, statistical modeling, and experimental sciences, there are dependent and independent variables. Dependent variables get their name because, during an experiment, their values are investigated under the presumption or requirement that they are dependent on the values of other variables due to some law or rule.

The variable you alter, regulate, or change in an experimental study to examine its effects is known as an independent variable. It is named "independent" because it is unaffected by any other study variables.

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Answer:

2πr = 4, so r = 2/π

Curved surface area = 2π(2/π)(9) = 36 cm²

Answer:

3.49 liters of paint in each container

Step-by-step explanation:

So he started off with 8.65 + 8.09 which is 16.74. Then he poured it equally into 4 containers and had 2.78 leftover. so you tak 16.74 - 2.78 which is 13.96. Lastly you divide 13.96 by 4 which is 3.49

I believe this is correct!

Answer:

3.49 liters per container

Step-by-step explanation:

First we need to find the total amount of paint

8.65+8.09=16.74(total amount of paint)

Now subtract 2.78 from 16.74 and then divide that by 4

16.74-2.78=13.96

13.96/4=3.49

Answer:

Levi saved 3/5 of the amount he needs to buy a 75 dollar video game. he earns 7.50 per hour working at the pizza shopping town how many hours will he need to work to pay for the rest of the game show all of your work to solve this problem explain the Steps you used! thank you 6th grade form please

Step-by-step explanation:

Answer:

Hello, Jaesuk Sakai Here!! (^^

Step-by-step explanation:

Words in 2 minutes = 90

Words in a minute = 90 / 2

                             = 45

So rate is 45 words/minutes

Happy to Help~ jaesuk sakai!

A scientist is going to measure the amount of rain we get today. Look at the table and pick the best answer that describes it. X (hours) 2 6 00 y (rain) 02 6 9 12 a Nonlinear b Ос Nonproportional Proportional Rational Od INTL 2​

Answer:

B

Step-by-step explanation: Becaus you can see the way hes cutting it

Answer: 50

Step-by-step explanation: Common factor of 150 and 350 = 1, 2, 5, 5. Highest common factor of 150 and 350 = 2 × 5 × 5 = 50.

Answer:

1, 2, 4

Step-by-step explanation:

Answer:

7r² - 6r + 9

Step-by-step explanation:

Simply combine like terms to find our final polynomial:

8r² - 7r - 9 - r² + r

7r² - 6r + 9

Answer:

7r^2-6r-9

Step-by-step explanation:

8r^2-7r-9-r^2+r

(8r^2-r^2)+(-7r+r)-9

bring to standard form

7r^2-6r-9

Answer:

b is the answer

Step-by-step explanation:

Answer:

The possible dimensions are;

If Rectangle B has a dimension of 1 unit x 2 units, then Rectangle A has a dimension of 0.315 units x 12.685 units

Step-by-step explanation:

Let;

Length of Rectangle A be a

Width of Rectangle A be b

Length of Rectangle B be c

Width of Rectangle B be d

Thus;

Area of Rectangle A = a × b

Area of Rectangle B = c × d

We are told that the area of Rectangle A is twice the area of Rectangle B:

Thus;

2cd = ab - - - - - eq. 1

perimeter of Rectangle A = 2a + 2b

perimeter of Rectangle B = 2c + 2d

We are told that the perimeter of Rectangle A is 20 units greater than the perimeter of Rectangle B. Thus, we now have;

20 + 2c + 2d = 2a + 2b - - - - eq. 2

We have 4 unknowns which are (a, b, c and d) but only 2 equations, so we need to reduce to 2 unknown variables and calculate the other ones. In this way, one of the infinite solutions is obtained.

Let's assume that c = 1 and d = 2, we obtain:

From eq 1, we have;

2 * 1 * 2 = a*b

ab = 4 or a = 4/b

From eq 2, we have;

20 + 2(1) + 2(2) = 2a + 2b

26 = 2a + 2b

Putting a = 4/b into this, we have;

26 = 2(4/b) + 2b

Multiply through by b to get;

26b = 8 + 2b²

So,we have;

2b² -26b + 8 = 0

Using quadratic formula for this,

b = 0.315 or 12.685

When, b = 12.685, a = 4/12.685 = 0.315

When, b = 0.315, a = 4/0.315 = 12.685

So, the possible dimensions are;

If Rectangle B has a dimension of 1 unit x 2 units, then Rectangle A has a dimension of 0.315 units x 12.685 units

Answer:

15

Step-by-step explanation:

\(\frac{5}{8}\) of 24

= \(\frac{5}{8}\) × 24 [ \(\frac{5}{8}\) = 5 ÷ 8 = 0.625 ]

= 0.625 × 24

= 15

Answer:

21

Step-by-step explanation:

If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.

AD        AH

-----  =  ---------

AB         AH +y

3        9

---- = ------

10         9+y

Using cross products:

3(9+y) = 9*10

27+3y = 90

3y = 90-27

3y =63

y = 63/3

y = 21

Answer:

y = 21

Step-by-step explanation:

According to the Side Splitter Theorem, if a line parallel to one side of a triangle intersects the other two sides, then this line divides those two sides proportionally.

Therefore, according to the Side Splitter Theorem:

\(\boxed{\sf AD : DB = AH : HC}\)

From inspection of the given triangle, the lengths of the line segments are:

To find the value of y, substitute the given line segment lengths into the proportion and solve for y:

\(\begin{aligned}\sf AD : DB &=\sf AH : HC\\\\3:7&=9:y\\\\\dfrac{3}{7}&=\dfrac{9}{y}\\\\3 \cdot y&=9 \cdot 7\\\\3y&=63\\\\\dfrac{3y}{3}&=\dfrac{63}{3}\\\\y&=21\end{aligned}\)

Therefore, the value of y is 21.