Help!
Use the given conditions to write an equation for the line in point-slope form and slope-intercept form.
Slope = -8, passing through (-4,-9)

The Triple Intergral of the given expression is [tex]4 \pi \times ln (\frac{a}{b})[/tex]

[tex]\int\limits \int\limits \int\limits_w \frac{dx dy dz}{(x^2 + y^2 + z^2)^{\frac{3}{2}}}[/tex]

[tex]\text{Where } x^2 + y^2 + z^2 = a^2 \text{ and } x^2 + y^2 + z^2 = b^2, 0 < b < a[/tex]

Changing to Spherical Coordinates

[tex]b \leq \rho \leq a, 0 \leq \theta \leq 2 \pi, 0 \leq \phi \leq \pi[/tex]

[tex]\therefore x^2 + y^2 + z^2 = \rho^2; dx dy dz = \rho^2 sin \phi .d\phi .d\theta. d\rho[/tex]

[tex]\implies \int\limits^a_b \int\limits^{2\pi}_{0} \int\limits^{\pi}_{0} \frac{1}{\rho^3} \rho^2 sin \phi .d\phi .d\theta. d\rho[/tex]

[tex]=\int\limits^a_b {\frac{1}{\rho}} \, d\rho \int\limits^0_{2\pi} d\theta \int\limits^{\pi}_0 \sin{\phi} \, d\phi[/tex]

[tex]= [ln \rho]^{a}_{b} [\theta]^{2\pi}_{0} [-\cos \phi]^{\pi}_{0}[/tex]

[tex]= [\ln a - \ln b] \times [2\pi] \times [- \cos \pi - (-\cos 0)][/tex]

[tex]= 2\pi \times 2 \times (\ln a - \ln b)[/tex]

[tex]= 4 \pi \, \ln{\frac{a}{b}}[/tex]

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The scale drawing's representation of the rectangle floor's circumference is 68 inches.

Area is the total amount of space that an object's shape or a flat (2-D) surface occupy.

Create a square on paper by using a pencil. Two dimensions make it up. A shape's area on paper is the space it takes up.

Imagine that your square is made up of smaller unit squares.

The area of a figure is equal to the number of unit squares required to completely cover the surface area of a particular 2-D shape. Square cms, square feet, square inches, square meters, etc. are a few common units for measuring area.

To get the area of the square figures presented below, draw unit squares with 1-centimeter sides. Therefore, the shape will be measured.

According to our question-

P = 2L + 2W

W = 5

P = 2L + 2(5) = 16

2L + 10 = 16

2L = 6

L = 3 ft

Hence, The scale drawing's representation of the rectangle floor's circumference is 68 inches.

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For x=9 movies, the costs of A and B are equal and the equation in terms of A is A=22+2x.

When two expressions are connected with the equals sign (=) in a mathematical formula, it expresses the equality of the two expressions. For instance, an equation in French is described as having one or more variables, whereas in English, an equation is any properly written formula that consists of two expressions linked by the equals sign.

Determine which values of the variables result in the equality to be true in order to solve an equation with variables.

For plan A, cost is $22 and $2 per movie then, for x movies

A=22+2x

For plan B, cost $13 and $3 per movie then, for x movies

B=13+3x

The costs of A and B equal then,

22+2x=13+3x

x=9

For x=9 movies, the costs of A and B are equal  and the equation in terns of A is A=22+2x.

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Answer:

593

Step-by-step explanation:

sana makatulong hindi ko sure

The number of tiles must she purchase for the expense to be something similar at the two stores will be 30.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Margo can buy tile at a store for $0.79 per tile and lease a tile saw for $15. At one more store, she can acquire the tile saw free of charge assuming she purchases tiles there for $1.29 per tile.

Let 'y' be the total cost and 'x' be the number of tiles. Then the equation is given as,

y = 0.79x + 15       ...1

y = 1.29x               ...2

From equations 1 and 2, then we have

1.29x = 0.79x + 15

0.5x = 15

x = 30

The number of tiles must she purchase for the expense to be something similar at the two stores will be 30.

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Answer:

No solution.

Step-by-step explanation:

The question is asking how many solutions this has. For example:

1+2=x

x would be 3 and can only be 3, so this would have only one solution

Another example:

x>1

This is stating that x is greater than 1, which can be 2,3,4,5,etc. It goes infinitely long, which means It has infinite solutions.

One example of an equation having no solutions is:

x>3

x<1

This is stating that x is greater than 3, and that it's less than 1, which is impossible, aka no solution.

Process in image.

a)  minimum of nine hikers might have covered the distance between 6 and 17 miles because it falls within the standard interval of 10 ≤ x ≤ 15.

b) The maximum no. of hikers who might have covered the distance between 6 and 17 miles is 19.

What do minimum and maximum value mean?

Rearrange the function using fundamental algebraic concepts to get the value of x when the derivative equals 0. This response gives the x-coordinate of the function's vertex, which is where the maximum or minimum will occur. To find the minimum or maximum, rewrite the solution into the original function.

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The Class limit of the data is shown below.

Frequency tables or charts are used to represent frequency distributions. Frequency distributions can display the proportion of observations or the actual number of observations that fall inside each range. The distribution is known as a relative frequency distribution in the latter case.

Given:

From the data the class limit will be

45  - 54

55  -  64

65  -  74

75  -  84

85  -  94

95  -  104

105  -  114

class Boundary

44.5  - 54.5

54.5  -  64.5

64.5  -  74.5

74.5  -  84.5

84.5  -  94.5

94.5  -  104.5

104.5  -  114.5

Midpoint

49.5

59.5

69.5

79.5

89.5

99.5

109.5

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The approximate volume of Spaceship Earth is given as follows:

D. 2,350.878.75 cubic feet.

We are given the circumference of Spaceship Earth, hence we can use it to obtain it's radius.

The circumference of a circle of radius r is given by the equation presented as follows:

C = 2πr.

At it's center, the Spaceship Earth is a circle, hence it's radius is calculated as follows, from it's circumference:

2πr = 518.1

r = 518.1/2π

r = 82.86 feet.

Now we consider that the entire Spaceship Earth has an spherical format, hence it's volume is given as follows:

V = (4/3)πr³.

Hence the volume in cubic inches is calculated as follows:

V = (4/3)π(82.86)³

V = 2,382,996.45 cubic feet.

Which is closest to option D.

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Answer:

yes

Step-by-step explanation:

im assuming the "x" is multiplication so 16 x y is 16y

Answer:

$11.5876 (please give brainiest)

Step-by-step explanation:

9.82x1.18=11.5876

Answer:

x = ± [tex]\sqrt{5}[/tex] x = 3

Step-by-step explanation:

to find the zeros set f(x) = 0 , that is

x³ - 3x² - 5x + 15 = 0 ( factor the first/second and third/fourth terms )

x²(x - 3) - 5(x - 3) = 0 ← factor out (x - 3) from each term

(x - 3)(x² - 5) = 0

equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x² - 5 = 0 ( add 5 to both sides )

x² = 5 ( take square root of both sides )

x = ± [tex]\sqrt{5}[/tex]

the zeros of f(x) are then

x = - [tex]\sqrt{5}[/tex] , x = [tex]\sqrt{5}[/tex] , x = 3

The simplified exponential expression for this problem is given as follows:

6x^4y.

The exponential expression in this problem is defined as follows:

2x² multiplied by 3yx².

The first step to simplify the expression is multiply the numeric coefficients, as follows:

2 x 3 = 6.

Then:

2x² multiplied by 3yx² = 6x²yx².

When two terms with the same base and different exponents are multiplied, we keep the base and add the exponents, hence:

x²x² = x^(2 + 2) = x^4.

Thus the simplified exponential expression is presented as follows:

6x^4y.

As the variable y is elevated to exponent y and not multiplied, while there were two exponential terms with the variable x, which is why it was multiplied.

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Answer:

The answer is 26.47.

Step-by-step explanation:

To get this answer, you simply need to subtract $105.66, by $79.19. You would get the answer of 26.47.

Step 1.       [tex]$105.66 x 5 = 528.3[/tex]

Step 2.      [tex]$79.19 x 5 = 395.95[/tex]

Step 3.     [tex]528.3 - 395.95 = 132.35[/tex]

Thus, with all these steps it would cost $132.35 more to go to the jets game than to go to the lions game.

Answer: C. no solution

Step-by-step explanation:

4x+y=5        (1)

8x+2y=-6     (2)

Multiply both parts of the equation (1) by 2:

8x+2y=10

8x+2y=-6

The left-hand sides of the system of equations are equal to each other,

and the right-hand sides of the system of equations are not equal

to each other, hence, the system of equations has no solution

Answer:

57

Step-by-step explanation: mental math.

In linear equation, 4,600 mph is the rate of change.

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

                                          Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

The satellite Space Explorer flies 82800 miles.

time = 18 hours

= 82800/18

= 4,600 mph.

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The statements that are true for a translation are:
The distances between points on the polygon are preserved by the transformation.
The distance between corresponding points in the image and pre-image is constant.
These statements are true for a translation because when an object is translated, it is shifted a certain distance in a certain direction. This means that the distances between points on the polygon remain the same and the distance between the corresponding points in the image and pre-image is constant.

Translation is the process of converting written, spoken, or visual information from one language into another. It is a complex process involving both linguistic knowledge and cultural understanding. Professional translators use a range of techniques to accurately convey the meaning of a text, including knowledge of grammar, syntax, and idiomatic expressions. Translators also take into account the cultural context of the text, ensuring that the translation reflects the same cultural references and nuances as the original. Translation can also refer to the conversion of DNA sequences from one form to another, such as from RNA to protein.

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The Question is based on the concept of Linear Equations and its answer will vary as the values of x and y varies

What is Linear Equations?

A linear equation is an algebraic equation in which the unknown variable is represented by a linear combination of terms and constants. It is a mathematical expression that can be written in the form ax + b = c, where a, b, and c are constants, and x is an unknown variable. Linear equations can be used to describe and solve a variety of real-world problems, such as finding the cost of a product or the distance between two points. Linear equations are also used in the fields of calculus, geometry, and physics.

Here we will just take value of x = 1 and y = 2 to show how this works
putting these values in all 6 Linear Equations we will get that
2x+y = 2(1)+2= 2+2 = 4
similarly in other 5 Question.
3x+2y = 7
3y + 2x = 8
10x + 4y + 2x = 10 + 8 + 2 = 20
6y + 5x = 12 + 5 = 17
7x + 4y = 7 + 8 = 15

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Forecast Absolute is (d-1)

What is Forecast Absolute?

Absolute value refers to the fact that even a negative gap between the actual and anticipated demand turns positive. 25 divided by 4 equals 6.25, so. Since the demand error is not proportional, the MAD computation performs best when applied to a single product.

1026.62 25.62

990.38 138.62

954.15 113.15

917.91 126.09

881.67 130.33

845.44 142.44

809.20 127.20

772.97 60.97

736.73 90.73

700.49 14.49

664.26 244.74

628.02 159.02

591.78 25.78

555.55 67.55

519.31 168.69

483.07 191.93

446.84 143.84

410.60 29.60

(d-2) 111.15

(d-3) y = 1062.86 + (-36.24)*x

(e) decrease by 36.24

(f)

374.37

338.13

301.89

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Answer:

Step-by-step explanation:

The second Yards box is:

3.33 repeating

The third Feet box is:

15

The fourth Feet box is:

21

Answer:

option b .....is answer

Answer:

2 dollars 50 cents

Step-by-step explanation:

3 boxes = 6 dollars

1 box = 2 dollars

100 - 20 = 80

2 dollars = 80 percent

50 cents = 20 percent

2 dollars 50 cents = 100 percent

Answer: 1+1=7

Step-by-step explanation: wheres the question

The amount of money that Ian would need to invest to be able to make up to $108,000 in 6 years with an interest rate of 5% compounded continuously would be = $80,000

Interest rate is the rate at which an individual receives a particular amount of money due to an investment made over a period of time.

The current value of account(A) = $108,000

The number of years for investment (t)= 6 years.

The interest rate(r)= 5% = 0.05 (in decimal).

Using the formula, A = Pe^rt

108,000 = P e ^ 0.05× 6

108,000 = Pe^0.3

108,000 = P × 1.3499

P = 108,000/1.3499

P = $80,000 ( approximated to the nearest whole number)

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Answer:

Below

Step-by-step explanation:

x,y => ( +4 , -3)      because it is shifted 4 units to the right and down 3 units

The value of f(x) =sin²x if 0≤x≤[tex]\frac{3\pi }{4}[/tex] using the Riemann sum is 0

By definition, the Riemann sum is a certain kind of approximation of an integral by a finite sum.

The given function is:

f(x) =sin²x if 0≤x≤3x/4

From the function, there are three sub intervals. The intervals include

n=3

a=0

b=[tex]\frac{3\pi }{4}[/tex]

The Riemann sum state that [tex]\frac{(b-a)}{n} =\frac{\pi }{4}[/tex]

C₁=[tex]\pi[/tex]/4

c₂=[tex]\pi[/tex]/2

C₃=[tex]\frac{3\pi }{4}[/tex]

The Riemann sum=[( [tex]3\pi[/tex]/4)-0]/3 = [tex]\pi[/tex]/4

When evaluated gives 12π=12π

Evaluate the function to get f(x)=0

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The correct interpretation of the p-value of the hypothesis is given as follows:

If 15% of teenagers get 8 to 10 hours of sleep each school night, there is a 35% probability that the sample proportion would be 0.19 or more different by chance alone.

At the null hypothesis, it is tested if the proportion is of 15%, that is:

H0: p = 0.15.

At the alternative hypothesis, it is tested if the proportion is different of 15%, that is:

H1: p ≠ 0.15.

We have a two-tailed test, as we are testing if the proportion is different of a value, meaning that the p-value gives the probability of the sample proportion differing by 0.15 at least by the proportion that it differed.

The p-value of this test is given as follows:

0.35.

Hence the first option is correct.

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The ratio of sand to cement is 1:4, which means that for every 4 units of cement, there are 1 unit of sand. If we let x represent the number of bags of cement, then the number of bags of sand is 4x.

We are given that there are 100 bags of sand, so we can set up the equation:

4x = 100

x = 100 / 4

x = 25

Therefore, 25 bags of cement are needed to mix with 100 bags of sand.

Hope this helps