In the first week of​ July, a record 1,040 people went to the local swimming pool. In the second​ week, 110 fewer people went to the pool than in the first week. In the third​ week, 145 more people went to the pool than in the second week. In the fourth​ week, 139 fewer people went to the pool than in the third week. What is the percent decrease in the number of people who went to the pool over these four​ weeks?

Answer:

one hat costs $6.75 and one scarf cost $13.25

Step-by-step explanation:

h=hat, s=scarf

5h + 1s = $47 (equation 1)

2h + 2s = $40 (equation 2)

multiply equation 1 by 2 , we get: 10h + 2s = $94 (equation 3)

equation 3 minus equation 2, we get:

8h = $54 ⇒ h = $6.75 ⇔ 1 hat cost $6.75

substitute h = $6.75 into equation 2 to find s,

2($6.75) + 2s = $40

$13.5 + 2s = $40

2s = $26.5

s = $13.25 ⇔ 1 scarf cost $13.25

x = 2 and x = -2. This is because when a number is written in the form |x|, it is referring to the absolute value of x, which is the distance of x from 0 on the number line.

Absolute value is the magnitude of a number, regardless of its sign. It is always expressed as a positive number, regardless of whether the number itself is positive or negative. For example, the absolute value of -7 is 7, and the absolute value of 7 is 7. Absolute value can be thought of as the distance a number is from 0 on a number line. The absolute value of a number is denoted by two vertical bars surrounding the number, e.g. |-7| = 7. It is an important concept in mathematics, and is used in equations, inequalities, and other mathematical functions.

Therefore, the absolute value of 2 is 2, and the absolute value of -2 is also 2.

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Answer:

-5t2 + 40t - 3

Step-by-step explanation:

Step-1 : Multiply the coefficient of the first term by the constant   5 • 3 = 15

Step-2 : Find two factors of  15  whose sum equals the coefficient of the middle term, which is   -40 .

     -15    +    -1    =    -16

     -5    +    -3    =    -8

     -3    +    -5    =    -8

     -1    +    -15    =    -16

     1    +    15    =    16

     3    +    5    =    8

     5    +    3    =    8

     15    +    1    =    16

Answer:

It would be  -13.6

Step-by-step explanation:

I used my calculator for this,  

-24.65 +25 - 46.75 + 32.80 = -13.6

Answer:

Step by step explanation: OK so your question is 26.35×21.5 so that is pretty easy but if you do not know that you are in the right place so what you’re gonna do is if you have a calculator then you need to take that out if you don’t then I’m going to need a piece of paper now for me it’s easy because I have a calculator and you can find a calculator on your iPad your phone etc. but yeah so you’re gonna type in 26.35 Times 21.5 now I want u do that on your own once you type in those numbers you’re going to hit the = and it’s that simple and you’ll then get your answer so I hope that helped you to learn how you multiply those the numbers.

Answer:

x=-2 y=-5

x=5 x=2

Answer:

x=5

here,

=5×5-5

=25-5

=20

Answer:

0 will be the answer may be not sure

Add 5 x 3 + 7

5 x 3 + 7
15 + 7
22

Answer:

Alternatively, you may use addition to solve

Step-by-step explanation:

5+5 = 10 and 5+7 = 12, and we know that 10+10 = 20

Just add the number 2 from the number 12 to 20, and you have the same answer

The lengths of the two pieces of a wire will be 19,19.

A square is a closed, two-dimensional object with four equal sides and four vertices. On either side, it has parallel sides.

The square of a square's side determines its area.

Given data -

Length of a wire = 38 m

As the wire is divided into two pieces,

Let the length of two pieces of wire be x and y m respectively.

As per given data, x + y = 38

Therefore, y = 38 - x    

As each piece is bent into a square, area of squares will be

\((x/4)^{2}\)  and  \((y/4)^{2}\)

Therefore, the sum of areas of two squares will be A = \((x/4)^{2}\) +      \((y/4)^{2}\)

A = \(x^{2}\)/16 + \(y^{2}\)/16

A = \(x^{2}\)/16 + \((38-x)^{2}\)/16

By differentiating, we will get

A' = \(\frac{2x}{16}\) - \(\frac{2(38-x)}{16}\)

In order to minimize the the sum of the areas of the two squares, we will take A' = 0

0 = x - (38 - x)

2x = 38

x = 19

Therefore y = 19

The length of two pieces of a wire should be 19 m each.

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Answer:

5

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Since we are already given half the equation and a table of values, we just need to find y-intercept b:

Simply plug in a coordinate into the equation to find it.

y = 6x + b

17 = 6(2) + b

17 = 12 + b

b = 5

y = 6x + 5

Answer:

Hi i will be helping you with your work. need help?

Step-by-step explanation:

The total surface area of the cylinder with a height of 5 cm and radius of 2 cm is 28π cm^2.

The total surface area of a cylinder can be calculated using the formula: 2πrh + 2πr^2, where r is the radius and h is the height of the cylinder.

Given that the height (h) of the cylinder is 5 cm and the radius (r) is 2 cm, we can substitute these values into the formula:

Total Surface Area = 2πrh + 2πr^2

= 2π(2)(5) + 2π(2)^2

= 20π + 8π

= 28π cm^2

Therefore, the total surface area of the cylinder with a height of 5 cm and radius of 2 cm is 28π cm^2.

The correct option is:

a. 28π cm^2

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Answer:

72.5ft

Step-by-step explanation:

Answer:

A one tailed test

Step-by-step explanation:

Chi-Square Distributions That Are Positively Skewed Have A Research Hypothesis That Is A One-Tailed Test.

Chi-Square distributions are positively skewed, with the degree of skew decreasing with increasing degrees of freedom.

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One-Tailed Test

Chi-Square distributions that are positively skewed have a research hypothesis that is a One-Tailed Test.

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The total costs of the SC would be the total amount of money that s needed for a company or individual to purchase goods and services.

The concept of Sum of Costs ( SC ) refers to the total amount of money needed to produce or provide a good or service. It includes all the costs associated with production, such as the cost of materials, labor, overhead, and other expenses.

Sum of costs is an important concept in business and economics because it helps companies to determine the profitability of their products or services and make informed decisions about pricing, production, and investment.

The question is not complete so I gave you a summary of the concept of the sum of costs.

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Answer:

x=31/7

Step-by-step explanation:

3x-6+4x+10=35

7x=31

x=31/7 (The task was to find the x, not simplify)

Answer:

\(x=\frac{31}{7}\)

Step-by-step explanation:

One is given the following equation,

\(3(x-2)+2(2x+5)=35\)

Distribute, multiply every term inside the parenthesis by the term outside of it.

\(3(x-2)+2(2x+5)=35\)

\((3)(x)-(3)(2)+(2)(2x)+(2)(5)=35\)

Simplify,

\((3)(x)-(3)(2)+(2)(2x)+(2)(5)=35\)

\(3x-6+4x+10=35\)

\(7x+4=35\)

Inverse operations,

\(7x+4=35\)

\(7x=31\)

\(x=\frac{31}{7}\)

Answer:

translate by (-5,3) means 5 units to left and 3 to up

first to left:

√(2x)→√(2(x+5))→√(2x+10)

then to up:

√(2x+10)→√(2x+10)+3

The arithmetic mean for the given data is 69.5, obtained by summing the products of midpoints and frequencies and dividing by the total frequency.

To find the arithmetic mean, we need to calculate the sum of all the values in the data set and then divide it by the total number of values. In this case, we have the class frequencies and the midpoints of each class interval. To calculate the sum, we multiply each class frequency by its corresponding midpoint and then add all the values together.

For example, for the first class interval (50-54), the midpoint is 52, and the frequency is 7. So, the contribution of this interval to the sum is 52 * 7 = 364. We do the same calculation for each interval and add them up to get the total sum.

Next, we divide the total sum by the sum of all the frequencies, which in this case is 50. So, the arithmetic mean is 69.5 (total sum divided by the total number of values).

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The derivative of the function is

A) dw/dz=z^5 (7z-18)

B) dh/dx=192x^11+36x^5-6x^2+19

C) dy/dx=24x^2-38x-15

In mathematics, the derivative of a function measures the sensitivity to change of the function value with respect to a change in its argument. It is the rate of change of a function with respect to a variable.

A) w = z^7 – 3z^6 + 14

dw/dz=7z^6-18z^5

dw/dz=z^5 (7z-18)

B) h(x) = 16x^12 + 6x^6 – 2x^3 + 19x – 7

dh/dx=192x^11+36x^5-6x^2+19

C) y = (8x + 5)(x^2 – 3x)

dy/dx=  d/dx  [8x+5]*〖(x〗^2-3x)+(8x+5)*d/dx[x^2-3x]

dy/dx=(8*  d/dx  [x}+d/dx[5])*〖(x〗^2-3x)+(8x+5)*(d/dx[x^2]-3 d/dx[x])

dy/dx=(8*1+0)(x^2-3x)+(8x+5)(2x-3*1)

dy/dx=8(x^2-3x)+(2x-3)(8x+5)

dy/dx=24x^2-38x-15

Note: The question is incomplete. The complete question probably is: Find the derivative of the following function: A) w = z^7 – 3z^6 + 14 B) h(x) = 16x^12 + 6x^6 – 2x^3 + 19x – 7 C) y = (8x + 5)(x^2 – 3x).

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The product of the expression is 2x⁶ + 23x³ + 63

First, we should note that algebraic expressions are described as expressions that are composed of coefficients, terms, constants, variables and factors.

These algebraic expressions are also made up of mathematical operations, such as;

From the information given, we have that;

2x3 +9 and x3 +7?

Then,

(2x³ + 9)(x³ + 7)

expand the bracket

2x⁶ + 14x³ + 9x³ + 63

add like terms

2x⁶ + 23x³ + 63

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The diagram that models the ratio in the story is the first diagram.

Puppies = Seven green boxes.

Adults = Four violet boxes.

There are 66 dogs enrolled together.

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,

Number of puppies = 7

Number of adult dogs = 4

This can be written as,

7 puppies = 4 adult dogs

Multiply 6 on both sides.

42 puppies = 24 adult dogs

Now,

The total number of enrolled dogs.

42 + 24 = 66 dogs

Thus,

The ratio that models the story is the first diagram.

The total number of enrolled dogs is 66.

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Answer:

d

because she deposits his money

The slope of a logarithmic graph depends on the type of logarithm used.

For a logarithmic function in the form y = log(b,x) where b is the base of the logarithm, the slope of the graph is undefined for x=0 and for x<0 because logarithmic functions are not defined in those cases.

For a natural logarithm, the slope is negative infinity at x=0 and positive for x > 0. As x increases, the slope becomes closer to zero.

For a common logarithm, the slope is negative infinity at x=0 and positive for x > 0. As x increases, the slope becomes closer to zero.

It's important to note that logarithmic functions are not linear functions, and therefore they do not have a constant slope, the slope of a logarithmic graph will change throughout the graph.

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Complete Question:

Suppose a local vendor charges $2 per hot dog and that the number of hot dogs sold per hour is given by \(x(t) = -4t^2 + 20t + 60\), where is the number of hours since 10 AM:

a) Find an expression for the revenue per hour as a function of x, R(x)

b) Find and simplify, R(x(t))

Answer:

a) R(x) = 2x

b) \(R(x(t)) = -8t^2 + 40t + 120\)

Step-by-step explanation:

a) This is a very trivial exercise.

\(x(t) = -4t^2 + 20t + 60\)

The number of hot dogs sold per hour is given by x

Charge per hot dog = $2

An expression of revenue per hour,R, as a function of the number of hot dogs sold per hour, x, is therefore: R(x) = 2x

b) \(x(t) = -4t^2 + 20t + 60\)

R(x(t)) = 2(x(t))

\(R(x(t)) = 2(-4t^2 + 20t + 60)\\R(x(t)) = -8t^2 + 40t + 120\)

Answer:

\( 3^2 \times 3^5 = 3^7 \)

3^2 * 3^5 = 3^7

Step-by-step explanation:

I assume you mean this:

\( 3^2 \times 3^5 \)

If so, then the rule is that when you multiply two numbers with the same base, you give the same base and add the exponents.

\( 3^2 \times 3^5 = 3^{2 + 5} = 3^7 \)

Answer:

300 new employees

Step-by-step explanation:

1:3

x + 3x = 1,200

4x = 1200

x = 300

Answer:

9

Step-by-step explanation:

\( \frac{1}{4} ( {c}^{3} + {d}^{2} ) \: when \: c = - 4 \: and \: d = 10 \\ = \frac{1}{4}[ {( - 4)}^{3} + ( {10}^{2} )] \\ = \frac{1}{4}( - 64 + 100) \\ = \frac{1}{4} \times 36 \\ = \frac{36}{4} \\ = 9\)

Answer: 7x10 to the 4th

Step-by-step explanation: