To raise money for charity, Cindy and her friends start the Pampered Pooch Pet Wash. The first day they are open, they forget to put up posters and only raise a little money. The next day, they hang posters all over the neighborhood and raise $56.75. In all, Cindy and her friends raise $76.75 on the first two days they are open. Which equation can you use to find the amount of money a Cindy and her friends raise on the first day?

Answer:

The expressions a(8x+7) and 4x + 3.5 are equivalent

Therefore, according to the above problem the equation is :---

\(a(8x + 7) = (4x + 3.5) \\ 8ax + 7a = 4x + 3.5\)

By comparing the term, we get

\(8ax = 4x \\ 8a = 4 \\ a = \frac{4}{8} \\ \boxed{a = \frac{1}{2} }\)

and,

\(7a = 3.5 \\ a = \frac{3.5}{7} \\ \boxed{a = \frac{1}{2} }\)

Answer:

The expressions a(8\(x\) + 7) and 4x + 3.5 are equivalent

Step-by-step explanation:

a(8x+7)=4x+3.5

8ax+7a=4x+3.5

let keep a=1/2

8/2x+7/2=4x+3.5

4x+3.5=4x+3.5

so no is or value of a=1.5

Every polynomial function of odd degree with real coefficients will have at least one real root or zero.

This statement is known as the Fundamental Theorem of Algebra. It states that a polynomial of degree n, where n is a positive odd integer, will have at least one real root or zero.

The reason behind this is that when a polynomial of odd degree is graphed, it exhibits behavior where the graph crosses the x-axis at least once. This implies the existence of at least one real root.

For example, a polynomial function of degree 3 (cubic polynomial) with real coefficients will always have at least one real root. Similarly, a polynomial function of degree 5 (quintic polynomial) with real coefficients will also have at least one real root.

It's important to note that while a polynomial of odd degree is guaranteed to have at least one real root, it may also have additional complex roots.

The Fundamental Theorem of Algebra ensures the existence of at least one real root but does not specify the total number of roots.

In summary, every polynomial function of odd degree with real coefficients will have at least one real root or zero, as guaranteed by the Fundamental Theorem of Algebra.

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Answer:

  7) perimeter = 16 units; area = 12 square units

  8) perimeter = 8 +√13 +√29 ≈ 17.0 units; area = 8 square units

Step-by-step explanation:

You want the perimeter and area of figures defined by their coordinates.

The figure is the brown rectangle in the attachment. It is seen to have a width of 2 units and a height of 6 units. The perimeter and area formulas are ...

  P = 2(W+H) = 2(2+6) = 16 . . . . units

  A = WH = (2)(6) = 12 . . . . square units

The perimeter of the figure is 16 units; the area is 12 square units.

The figure is the blue triangle in the attachment. It is seen to have a base length of 8 units, and a height of 2 units. Vertex T is 3 units from one end of the triangle, and 5 units from the other end.

The lengths of the sides can be found from the distance formula:

  d = √((x2 -x1)² +(y2 -y1)²)

For side ST, its length is ...

  d = √((3 -0)² +(-2 -0)²) = √(9 +4) = √13 ≈ 3.606

For side TU, the side length is ...

  d = √((8 -3)² +(0 -(-2))²) = √(25 +4) = √29 ≈ 5.385

Side length SU can be seen to be 8 units with no calculation required.

The perimeter is the sum of the side lengths:

  ST +TU +UT = 3.606 +5.385 +8.000 = 16.991 ≈ 17.0 . . . . units

The area formula is

  A = 1/2bh

  A = 1/2(8)(2) = 8 . . . . square units

The perimeter of the figure is about 17.0 units; the area is 8 square units

Megan tiled a rectangle with an area of 24 square centimeters, the Megan ‘s rectangle is 2 centimeters by 12 centimeters.

Megan tiled a rectangle with an area of 24 square centimeters,

A = 24 square centimeters

Area of the rectangle = length x breadth

A = l x b

24 = 12 x 2

Therefore, length= 12cm and breadth is 2 cm.

The area occupied by the rectangle within its perimeter may be calculated using the formula for the area of a rectangle. A rectangle's area is calculated by multiplying its length by its width (breadth). As a result, the area of a rectangle whose length and breadth are "l" and "w," respectively, may be calculated using the following formula. L * W = the rectangle's area. Therefore, the area of a rectangle is equal to (length width).

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Complete question:

Megan drew a rectangle that has an area of 24 square centimeters. Which of the following could be the dimensions of her rectangle?

Answer:

=> membership fee = $50

=> monthly fee = $55

=> First month = 105$

=> 50 + 55(x)

=> 50 + 55 (15)

=> 50 + 825

=> 875

Workout gym

=> membership fee = $200

=> monthly fee = $45

=> First month = 245$

=> 200 + 45(x)

=> 200 + 45(15)

=> 200 + 675

=> 875

Step-by-step explanation:

Answer:

The answer is the first one

Step-by-step explanation:

Answer:2

Step-by-step explanation:divide volume by 8

Mill rate is a tax rate—the amount of tax payable per dollar of the assessed value of a property. Mill is derived from the Latin word millesimum, meaning thousandth. As used in property tax, 1 mill is equal to $1 in property tax levied per $1,000 of a property's assessed value.

Answer:

B.

Step-by-step explanation:

Parentheses mean multiplication in this case. So it would be 2 x -3 OR -3 + -3. When multiplying a negative and a positive the answer will ALWAYS be negative. So you would move to the left on a number line.

Answer:

6/7

Step-by-step explanation:

thank and rank pls

The statement that accurately describes what Marisol should do next is that Marisol should go back and group the terms in Step1 as (6x³– 22x²) – (9x – 33) and it can be determined by using the factorization method.

Marisol grouped the terms and factored the GCF out of the groups of the polynomial \(\rm 6x^3- 22x^2- 9x + 33\).

To factor out the common GCF out of the group, the following steps should have been taken by Marisol.

Marisol grouped the terms and factored the GCF out of the groups of the,

To factor out the common GCF out of the group, the following steps should have been taken by Marisol following all the steps given below.

        \(\rm= 6x^3- 22x^2- 9x + 33\\\\= (6x^3-22x^2) - (9x-33)\)

        \(= (6x^3-22x^2) - (9x-33)\\\\= 2x^2(3x^2-11) -3(3x-11)\\\\= (2x^2-3) (3x-11)\)

Hence, The statement that accurately describes what Marisol should do next is that Marisol should go back and group the terms in Step1 as (6x³– 22x²) – (9x – 33).

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1.92%   is the probability .

Describe probability using an example?

The probability of an event is the ratio of the size of the event space to the size of the sample space.  

The size of the sample space is the total number of possible outcomes  

The event space is the number of outcomes in the event you are interested in.  

so  

Let

x------> size of the event space

y-----> size of the sample space  

so

  P = x/y

Find out the probability that the first student selected will be left-handed

we have

 x = 6

 y = 40

substitute

 P = 6/40

Simplify

P = 3/20

the probability that the second student selected will be left-handed

we have

    x = 6 - 1  = 4

y = 40 -1 = 39

substitute

 P = 5/39

the probability that the 2 students selected will both be left-handed

Multiply the probabilities

   P = 3/20(5/39)  = 15/780

Convert to percentage

Multiply by 100

15/780 * 100 = 1.92%

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To determine which set of data most likely has a mean closest to 29.5, we need to analyze the shape and position of the histograms in relation to the value 29.5.

Looking at the histograms described:

The first histogram ranges from 9 to 48, and the upward trend starts from 1 and ends at 33, followed by a downward trend. This histogram suggests that there may be values lower than 29.5, which would bring the mean below 29.5.

The second histogram ranges from 15 to 48, with an upward trend from 1 to 30 and then a downward trend. Similar to the first histogram, it suggests the possibility of values lower than 29.5, indicating a mean below 29.5.

The third histogram ranges from 12 to 56, and the upward trend starts from 1 and ends at 32, followed by a downward trend. This histogram covers a wider range but still suggests the possibility of values below 29.5, indicating a mean below 29.5.

The fourth histogram ranges from 15 to 54 and exhibits multiple trends. While it has fluctuations, it covers a wider range and includes both upward and downward trends. This histogram suggests the possibility of values above and below 29.5, potentially resulting in a mean closer to 29.5.

Based on the descriptions, the fourth histogram, with its more varied trends and wider range, is most likely to have a mean closest to 29.5.

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Answer:

c + 0.5b =700 and c + b =1,000 I think

Answer:

c+b=1000

Step-by-step explanation:

This problem can be solved by process of elimination. If the end weight is 1000, then at the equal sign, it should also be 1000. Since the last option is the only one with 1000, then it would be the only correct option.

Answer:

B

Step-by-step explanation:

3(20)=60

2(30)=60

60+60=120

2(20)= 40

4(30)= 120

40+120=160

Answer:

20 yards in the lace ribbon and there are 30 yards on one roll of satin ribbon

Step-by-step explanation:

3x + 2y = 120   (1)

   2x + 4y = 160   (2)

Divide eq(2) by 2 (both sides). Keep equation (1) as is.  You will get

   3x + 2y = 120   (1')

    x + 2y =  80   (2')

Now subtract eq(2') from eq(1').  You will get

   2x = 120 - 80 = 40

    x =  40/2 = 20.

Then from equation (2'),  

   20 + 2y = 80

        2y = 80 - 20 = 60

         y   = 60/2 = 30

Answer:

c or d

Step-by-step explanation:

The number of pints of ice cream used for each sundae is 0.8 pints.

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

4 pints of icecream = 5 sundaes

Divide both sides by 5.

4/5 pints of icecream = 1 sundaes

0.8 pints of icecream = 1 sundaes

Thus,

0.8 pints of ice cream is used for each sundae.

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Answer:

a) 7540

b) 43.39

Step-by-step explanation:

a)

\(\frac{245*20^2}{13} =\\\\\frac{245*400}{13}=\\\\\frac{98000}{13}=\\\\7540\)

(to the nearest 10.)

b)

\(\sqrt{58-29}+38=\\\sqrt{29}+38=\\5.39+38=\\43.39\\or\\43.38\)

(to the nearest hundredth)

43.38 is rounding down, 43.39 is rounding up. (43.385)

The statistical procedure used to test hypotheses concerning the mean of interval or ratio data in a single population with an unknown variance is called the one-sample t-test.

This test is used when we have a single sample of data and want to make inferences about the population from which it was drawn. The test compares the mean of the sample to a hypothesized value, usually the population mean, and calculates a t-statistic. The t-statistic is then compared to a critical value from the t-distribution to determine if the sample mean is significantly different from the hypothesized value. This test is useful in a variety of fields, such as psychology, medicine, and engineering, to name a few.

The statistical procedure you are referring to is called the t-test for a single population mean. The t-test is used to test hypotheses concerning the mean of interval or ratio data in a single population when the variance is unknown. It compares the sample mean to a known or hypothesized population mean, while considering the sample size and standard deviation. This test relies on the t-distribution, which is used when the population variance is unknown and the sample size is relatively small. The t-test helps in determining whether there is a significant difference between the sample mean and the population mean.

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The multiplied form of the Algebraic expression is 10x -0.8\(x^{2}\)

An algebraic expression is a mathematical statement that contains a combination of numbers, symbols, variables and mathematical operators.

These expressions may be linear, quadratic or polynomials and the numbers in front of each term is called coefficient while the symbols or letters are called variable

2x( 5 - 0.4x)

we multiply each term in the bracket by 2x

2x  x 5  - 2x x 0.4x = 10x - 0.8\(x^{2}\)

In conclusion, 2x(5 - 0.4x) reduces to 10x - 0.8\(x^{2}\)

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Answer:

Solving the Equations of General Relativity for Colliding Black Holes

TOPICS:AstronomyAstrophysicsBlack HoleGeneral RelativityPopularTexas Advanced Computing CenterUniversity Of Texas At Austin

By UNIVERSITY OF TEXAS AT AUSTIN NOVEMBER 8, 2020

Answer:

- is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Answer:

answer is 1

Step-by-step explanation:

2-1=1

Answer:

s = 150f

Step-by-step explanation:

A tropical punch recipe calls for 300 ml of sugar for every 2 flavor packages. Write an equation that shows the relationship between s, the amount of sugar in milliliters, and f, the number of flavor packages for this recipe.

The amount of sugar in milliliters = s

The amount of flavor packages for these recipe = f

The relationship between 2 variables

= y ∝ x

y = kx

k = constant of proportionality

Hence:

s ∝ f

s = kf

Note ,

s = 300

f = 2

300 = 2k

k = 300/2

k = 150

Therefore, the equation that shows the relationship between s, the amount of sugar in milliliters, and f, the number of flavor packages for this recipe is:

s = kf

s = 150f

Answer:

2=150f

Step-by-step explanation:

khan said so

For a 95% confidence interval, number of blocks that must be sampled is 139, and for a 99% confidence interval, number of blocks that must be sampled is 238.

We will use the formula for the sample size in a confidence interval estimation:
n = (Z * σ / E)²

Where n is the sample size, Z is the Z-score corresponding to the desired confidence level, σ is the standard deviation, and E is the margin of error.

a. For a 95% confidence interval, the Z-score is 1.96. The standard deviation is 0.6 kg, and the margin of error is ±0.1 kg. Plugging these values into the formula:

n = (1.96 * 0.6 / 0.1)²
n ≈ 138.3

Since we need to round up the final answer to the nearest integer, the number of blocks that must be sampled for a 95% confidence interval is 139.

b. For a 99% confidence interval, the Z-score is 2.576. Using the same formula with this new Z-score:

n = (2.576 * 0.6 / 0.1)²
n ≈ 237.8

Again, rounding up the final answer to the nearest integer, the number of blocks that must be sampled for a 99% confidence interval is 238.

In summary, for a 95% confidence interval, 139 blocks must be sampled, and for a 99% confidence interval, 238 blocks must be sampled.

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Answer:

vertical means straight up or 90 degrees, so if an angle is 90 degrees it is vertical

Answer:

q = -4
q = -5/9

Step-by-step explanation:

Hi!

To solve this question, we can use the zero product property.

The zero product property states that if one factor is equal to 0, then the whol equation is equal to 0.

We have (q+4)(9q +5) = 0

That means either q + 4 = 0, or 9q + 5 = 0.

Solve:

We can check both cases:

(-4 + 4)(-36 + 5) = 0

0(-31) = 0

0 = 0

(-9/5 + 4)(9(-5/9) + 5) = 0

(2.2)(-5 + 5) = 0

(2.2)0 = 0

0 = 0

Answer:

The answer to your problem is, 6a

How to find the GCF:

6a(x²+x+1)

Use that problem

The answer to your problem is, 6a

Given that profits decrease by 13.8% when the degree of operating leverage (DOL) is 3.8.

The decrease in sales is: We have to determine the percentage decrease in sales Let the percentage decrease in sales be x.

Degree of Operating Leverage (DOL) = % change in Profit / % change in Sales3.8

= -13.8% / x Thus, we have: x

= -13.8% / 3.8

= -3.63%Therefore, the decrease in sales is 3.63%.Hence, the correct option is C) 3.63%. Percentage decrease in sales = % change in profit / degree of operating leverage

= 13.8 / 3.8

= 3.63% The percentage decrease in sales is 3.63%.

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