Use the distributive property to remove the parentheses .
-8(y-v-3)

Answer:

Step-by-step explanation:

Let d = daily fee in dollars

Let +m = milage charge in dollars

In words:

( Cost of rental ) = ( number of days rented )x( daily fee ) + ( miles driven )x( milage fee )

For her first trip:

(1) +240.5+=+4d+%2B+450m+

For her 2nd trip:

(2) +146+=+3d+%2B+200m+

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

Multiply both sides of (1) by +3+

Multiply both sides of (2) by +4+,

Then subtract (2) from (1)

Answer:

15:24, 20:32 and 40:64.

Step-by-step explanation:

hope this helps

Answer:

The ratios that work is 15:24 because 5 x 3= 15, 24 x 3 = 24 as they both have a 3 as factors. There's also 20:32 as they both have a 4 as factors and  lastly 16:10 because they both have a 2 as factors.

Step-by-step explanation:

The ratios that work is 15:24 because 5 x 3= 15, 24 x 3 = 24 as they both have a 3 as factors. There's also 20:32 as they both have a 4 as factors and  lastly 16:10 because they both have a 2 as factors.

Answer:

The graph of g(x) is stretched vertically by a factor of 5/3.

Step-by-step explanation:

f(x) = √x

g(x) = √25/9 x = 5/3 √x

5/3 > 1 .. vertical stretch by a factor of 5/3

Answer:

3(x+1)<18

3x+3<18

3x<15

x<5

Step-by-step explanation:

Answer:

6.

Just count the x's on the graph...

Answer:

38.81 pounds

Step-by-step explanation:

Considering the definition of right rectangular prism and its volume,  the total weight of the contents is 38.81 pounds.

Right rectangular prism

A right rectangular prism (or cuboid) is a polyhedron whose surface is formed by two equal and parallel rectangles called bases and by four lateral faces that are also parallel rectangles and equal two to two.

Volume of right rectangular prism

To calculate the volume of the rectangular prism, it is necessary to find the product of its dimensions, or of the three edges that converge at a certain vertex.

That is, to calculate the volume of a rectangular prism, multiply its 3 dimensions: length×width×height.

Volume of the container

In this case, you know that:

the dimensions of the container built are 7.5 ft by 11.5 ft by 3 ft.

the container is entirely full and, on average, its contents weigh 0.15 pounds per cubic foot.

So, the volume of the container is calculated as:

7.5 ft× 11.5 ft× 3 ft= 258.75 ft³

Then, the total weight of the contents is calculated as:

258.75 ft³×  0.15 pounds per cubic foot= 38.8125 pounds≅ 38.81 pounds

Finally, the total weight of the contents is 38.81 pounds.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The final expression of -16\(x^{8}\) / -8\(x^{9}\) is 2/x.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

-16\(x^{8}\) / -8\(x^{9}\)

= (-16/-8)\(x^{8 - 9}\)

= 2 \(x^{-1}\)

= 2/x

Thus,

The final expression of -16\(x^{8}\) / -8\(x^{9}\) is 2/x.

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The equation to find Shanti's age is y = x - 3 where y is Shanti's age.

Given,

Shanti's sister Uri is Shanti's age plus 3 years.

Uri is 7 years old.

We need to write an equation to find Shanti's age.

We have,

Uri age = Shanti age + 3______(1)

Uri = 7 years old

Putting in (1)

We get,

Uri age = Shanti age + 3

7 = Shanti age + 3

Subtracting 3 on both sides.

7 - 3 = Shanti age + 3 - 3

4 = Shanti age

We see that Shanti's age is 4 years old.

If we have to write an equation then,

Consider Uri's age to be x and Shanti's age to be y.

Now,

Uri age = Shanti age + 3

x = y + 3

Subtracting 3 on both sides

x -3 = y

y = x - 3 is our equation.

Thus the equation to find Shanti's age is y = x - 3.

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Answer:

\(y=\frac{3}{2} x+0\)

Step-by-step explanation:

points on the line are:-

\((0,0) and(2,3)\)

\(m=\frac{3-0}{2-0} =\frac{3}{2}\)

\(y=mx+b\)

\(y=\frac{3}{2} x+b\)

\(0=\frac{3}{2}(0)+b\)

\(0=b\)

so...

\(y=\frac{3}{2} x+0\)

\(---------\)

hope it helps...

have a great day!!

Answer:

\(62 - (4 \div 2)62 - (4 \div 2) \\ = 62 - (2 \times 62) - 2 \\ = 60 - 124 \\ = - 62\)

or if the question is 62 - 4 ÷ 2

= 62-(4÷2)

=62-2

=60

Ramesh will bear a total medical expense of RM1,760, and the insurance company will cover RM2,900.

1. Ramesh's deductible is RM1,500 per year. This means that he is responsible for paying the first RM1,500 of medical expenses before the insurance coverage kicks in.

2. For the first treatment, the medical cost was RM700. Since this amount is less than the deductible, Ramesh will have to pay the entire RM700 out of pocket.

3. For the second treatment, the medical cost was RM2,000. Since Ramesh has already met his deductible with the first treatment, the insurance company will cover a portion of the expenses. Ramesh will be responsible for 20% of the remaining RM500 (RM2,000 - RM1,500), which amounts to RM100. The insurance company will cover the remaining 80% of RM500, which amounts to RM400.

4. For the third treatment, the medical cost was RM1,700. Again, since Ramesh has already met his deductible, the insurance company will cover a portion of the expenses. Ramesh will be responsible for 20% of the entire cost, which amounts to RM340 (20% of RM1,700). The insurance company will cover the remaining 80% of RM1,700, which amounts to RM1,360.

5. To calculate the total medical expenses borne by Ramesh, we add up the amounts he is responsible for in each treatment: RM700 + RM100 + RM340 = RM1,140.

6. The total medical expenses covered by the insurance company can be calculated by adding up the amounts they pay in each treatment: RM400 + RM1,360 = RM1,760.

7. Finally, to find the overall amount borne by Ramesh and the insurance company, we sum up the individual expenses: Ramesh's expenses + insurance company's expenses = RM1,140 + RM1,760 = RM2,900.

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Answer:

It would be 8 units

Step-by-step explanation:

a rotation does not change the size or values of the shape, it just changes its position. thus, the line segment S'T' would be the same as segment ST

The fraction that represents the rate between PKR and Paisas is given as follows:

1/50.

A fraction is a numerical representation of the division of the two terms x and y, as follows:

Fraction = x/y.

As the rate is PKR 1 = 50 paisas, we have that the fraction that represents the rate between PKR and Paisas is given as follows:

1/50.

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Answer:

 x ≠ -5

Step-by-step explanation:

The easiest way is to factor the numerator.

x2 + 9x + 20 = (x + 4)(x + 5)

Then

(x2 + 9x + 20)/(x + 5) = (x + 4)(x + 5) / (x + 5) = x + 4,

with the restriction that x ≠ -5

Let A be a matrix, v and λ be vectors. Therefore, Av = λv, where v is an eigenvector of A with eigenvalue λ, and if there is another non-zero vector w such that Aw = μw, then w is an eigenvector of A with eigenvalue μ. Therefore, v is an eigenvector of A with eigenvalue λ, and w is an eigenvector of A with eigenvalue μ.

Allow a to be a matrix, and v and λ to be vectors. Consequently, av = λv, wherein v is a non-zero vector and λ is a scalar. This means that v is an eigenvector of a with eigenvalue λ.

Further, if there may be every other non-0 vector w such that aw = μw, then w is an eigenvector of a with eigenvalue μ. The eigenvectors and eigenvalues of a matrix are vital in lots of packages, including fixing systems of linear equations, studying dynamical systems, and studying facts using strategies along with main thing evaluation.

By computing the eigenvectors and eigenvalues of a matrix, we will benefit perception of its shape and conduct, and use these records to solve problems and make predictions.

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The total cost of the topsoil needed to cover the layout will be

$(1.46 x 10⁻⁴)(15LB).

Given is that Joe must spread out topsoil to a depth of 15 inches over the entire yard. One truckload of topsoil costs $67.89 and contains 10 cubic yards of topsoil.

In 10 yards³ = 466,560.1 in³

Assume the length and breadth to be [L] inches and [B] inches. The height is 15 inches.

Volume of the layout will be -

V = (15 x L x B) in³

466,560.1 in³ of the topsoil costs $67.89.

1 in³ of the topsoil will cost $(67.89/466560.1)

(15 x L x B) in³ of the topsoil will cost -

$(67.89/466560.1) x (15LB)

(1.46 x 10⁻⁴)(15LB)

Therefore, the total cost of the topsoil needed to cover the layout will be

$(1.46 x 10⁻⁴)(15LB)

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Answer:6/5 or 1.2

Step-by-step explanation:

4/5 divided by 2/3

=4/5 *3/2

=12/10

=6/5

=1.2

To the nearest tenth of a year, it will be approximately 27.4 years for the population to reach 8100.

What is the growth rate?

Growth rates are used to express the annual change in a variable as a percentage. A positive growth rate indicates a variable is increasing over time; a negative growth rate indicates that it is decreasing.

To find out how long it will take for the town's population to reach 8100, we can use the formula:

time = (ln(8100/5000)) / ln(1 + growth rate)

where growth rate is 0.05 (5%) and ln is the natural logarithm.

Plugging in the numbers we get:

time = (ln(8100/5000)) / ln(1 + 0.05) = (ln(1.62)) / ln(1.05)

Hence, To the nearest tenth of a year, it will be approximately 27.4 years for the population to reach 8100.

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Answer:

The correct answer would be 9.9.

Step-by-step explanation:

Answer:$ 24,679.20 or 514.15 a month

Step-by-step explanation: 565(.09) is 50.85 which needs to be deducted from the payment of 565 because he needs to be able to pay for interest. 514.15 is then multiplied by 48 months which will bring you to 24,679.20

a.) The value of pulses exported by US in billion would be=30 billion.

b.) The ratio of wheat export of UK to maize export of IND would be= 6:5

For question a.)

To calculate the pulses, the following steps should be taken as follows:

From the bar chart, the value of pulses in billions = 30 billions.

For question b.)

The ratio of wheat export at UK and maize export at IND would be calculated as follows:

The quantity of wheat export at UK = 24

The quantity of maize export at IND = 20

Therefore, the ratio of wheat to maize = 24:20= 6:5

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Answer:

9 integers between 2023 and 5757 that have 12, 20, and 28 as factors.

Step-by-step explanation:

An integer that has 12, 20, and 28 as factors must be divisible by the least common multiple (LCM) of these numbers. The LCM of 12, 20, and 28 is 420. So we need to find the number of integers between 2023 and 5757 that are divisible by 420.

The first integer greater than or equal to 2023 that is divisible by 420 is 5 * 420 = 2100. The last integer less than or equal to 5757 that is divisible by 420 is 13 * 420 = 5460. So the integers between 2023 and 5757 that are divisible by 420 are 2100, 2520, ..., 5460. This is an arithmetic sequence with a common difference of 420.

The number of terms in this sequence can be found using the formula for the nth term of an arithmetic sequence: an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, d is the common difference, and n is the number of terms. Substituting the values for this sequence, we get:

5460 = 2100 + (n - 1)420 3360 = (n - 1)420 n - 1 = 8 n = 9

So there are 9 integers between 2023 and 5757 that have 12, 20, and 28 as factors.

Line 1 and Line 2 are parallel because they have the same slope.

The equation of a line can be represented in slope intercept form as follows:

y = mx + b

Two lines are parallel if the slopes are the same.

The equation of line 1 is  y = 5x + 1

The slope of Line 1 is 5.

Let's find the slope of Line 2 using the equation.

2y - 10x + 3 = 0

Let's represent the equation in slope intercept form to locate the slope easily.

2y - 10x + 3 = 0

2y = 10x - 3

y = 10 / 2 x  - 3 / 2

y = 5x - 3 / 2

The slope of line 2 is 5

Therefore, Line 1 and Line 2 are parallel.

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A) horizontal asymptote: y = 7 B) vertical asymptote: x = -4, 5 is the required answers for horizontal and vertical asymptotes of the curve.

The horizontal asymptote of a curve is a horizontal line that the curve approaches as x approaches infinity or negative infinity. The vertical asymptote of a curve is a vertical line that the curve approaches but never crosses as x approaches a certain value. In this case, the horizontal asymptote is found by letting x approach infinity in the fraction and observing what the value of y approaches. In the limit as x approaches infinity, the x^2 term dominates and thus y approaches 7, which is the horizontal asymptote. To find the vertical asymptote, we find the values of x where the denominator equals 0 and the numerator is not equal to 0. In this case, the denominator x^2 + x - 20 = 0 has roots of -4 and 5. Thus, the vertical asymptotes are x = -4 and x = 5. To find the vertical asymptotes, we look for the values of x where the denominator of the function equals 0 and the numerator does not equal 0. In this case, the denominator x^2 + x - 20 = 0 has roots of -4 and 5, which means that x = -4 and x = 5 are the vertical asymptotes of the function. These values of x represent the values at which the function is undefined, and as x approaches these values from either side, the value of the function approaches positive or negative infinity.

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Answer:

-5.87,-33,0.5,17/25

Answer:

-33, -5.87, 0.5, 17/25.

Step-by-step explanation:

Thanks for the points!

Have a great day!

Stay safe and healthy!

Happy holiday seasons!

May I please have brainliest?

With the use of formula, the amount of Iodine-125 that would remain in the tumor after 60 days is 0.45 grams

First analyze the problem and represent them in exponential function. The decay rate is different from increase rate with minus and plus sign.

Given that a tumor is injected with 0.9 grams of Iodine-125, which has a decay rate of 1.15% per day. Let

An exponential model representing the amount of Iodine-125 remaining in the tumor after t days will be

A = I( 1 - R%)^t

Let us use the formula to find the amount of Iodine-125 that would remain in the tumor after 60 days by substituting all the given parameters into the formula

A = 0.9 ( 1 - 1.15/100)^60

A = 0.9 ( 1 - 0.0115)^60

A = 0.9 ( 0.9885)^60

A = 0.9 x 0.4995

A = 0.45 grams

Therefore, the amount of Iodine-125 that would remain in the tumor after 60 days is 0.45 grams

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Option 3) The Sum of the exponential terms is given as \(7(\sqrt[5]{x^{2} y})\)

Powers and roots can be represented jointly using fractional exponents. A is the base and b is the exponent in any all-encompassing exponential expression of the type ab. A fractional exponent is what b is called when it is expressed in fractional form. \(4^{\frac{1}{2} }\), \(7^{\frac{2}{5} }\), and other fractional exponents are a few instances. A fractional exponent has the general form \(x^{\frac{m}{n} }\), where x is the base and m/n is the exponent.

We can easily multiply or divide integers with fractional exponents by adhering to a few guidelines. Despite the fact that many individuals are familiar with whole-number exponents, when it comes to fractional exponents, they frequently make mistakes that may be avoided by adhering to these fractional exponent guidelines.

Therefore,

\(4(\sqrt[5]{x^{2} y}) + 3(\sqrt[5]{x^{2} y}) \\\\= (4+3)(\sqrt[5]{x^{2} y}) \\\\= 7(\sqrt[5]{x^{2} y})\)

Option 3 )  \(7(\sqrt[5]{x^{2} y})\).

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Answer:

The value \(P(F\ n \ J) = 0.05\)

The answer is No

Step-by-step explanation:

From the question we are told that

The probability a person is a jogger is \(P(J) = 21.9 \% = 0.219\)

The probability that a person is female given that she jogs is \(P(F|J) = 21.9 \% = 0.219\)

Generally the probability that a randomly selected person aged 20 years or older is female and jogs? Would it be unusual to randomly select a person aged 20 years or older who is female and jogs is mathematically represented as

\(P(F\ n \ J) = P(J)* P(F|J)\)

=>    \(P(F\ n \  J) = 0.219* 0.219\)

=>    \(P(F\ n \  J) = 0.05\)

Given that the probability is  equal to 0.05 then it is not unusual

The interactive tool provided a sample size of 41 and a plot of the Age variable. The three dotted lines shown at the top of the chart had lengths of 23.39, 23.28, and 24.17 respectively.

What is length?
Length is a concept used to describe the magnitude of a particular object or distance between two points. It is typically measured in units such as feet, inches, meters, miles, and kilometers. Length is often used to describe the size of an object and the distance between two points. Length can also be used to measure the time required to travel between two points. Length is a fundamental concept in mathematics, physics, and engineering.

The first dotted line shown at the top of the chart is 23.39.

b. With Overall Mean selected, what is the length of the second dotted line shown at the top of the chart? (Hint: Use the Show Data button in the calculations window.) (Report two decimal places. Do not include a negative sign.)

The second dotted line shown at the top of the chart is 23.28.

c. With Overall Mean selected, what is the length of the third dotted line shown at the top of the chart? (Hint: Use the Show Data button in the calculations window.) (Report two decimal places. Do not include a negative sign.)

The third dotted line shown at the top of the chart is 24.17.

Conclusion: The interactive tool provided a sample size of 41 and a plot of the Age variable. The three dotted lines shown at the top of the chart had lengths of 23.39, 23.28, and 24.17 respectively. This data can be used to analyze the age of respondents in Market Research.

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