What is an equation of the line that passes through the point (5, -8) and is
perpendicular to the line 5x - 4y = 16?

Using alternating and corresponding angle theorems, the values of x are 11, 4, -4 and 10 respectively

Alternate angle theorem states that when two parallel lines are cut by a transversal, then the resulting alternate interior angles or alternate exterior angles are congruent.

1)

9x + 8 = 107 (alternating angles are equal)

9x + 8 = 107

9x = 107 - 8

9x = 99

x = 11

2)

20x = 80 (alternating angles are equal)

20x = 80

x = 4

3)

x + 84 = 80 (corresponding angles are equal)

x = 80 - 84

x = -4

4) 120 + 6x = 180

This is gotten from applying alternating angle theorem and angle on a straight line theorem

120 + 6x = 180

6x = 180 - 120

6x = 60

x = 10

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Step-by-step explanation:

(2n)(2m + 1) = 4nm + 2n = 2(2mn + 1n) = even

The value of the test statistic is -2.83.

The test statistic is a measure used in hypothesis testing to determine the likelihood of observing a particular sample result if the null hypothesis is true.

In this case, we are testing the claim that the mean body temperature of the population is equal to 98.5°F.

To calculate the test statistic, we can use the formula:

test statistic = (sample mean - hypothesized mean) / (standard deviation / √sample size)

Given that the sample mean is 98.6°F, the hypothesized mean is 98.5°F, the standard deviation is 0.5°F, and the sample size is 73, we can plug these values into the formula:

test statistic = (98.6 - 98.5) / (0.5 / √73) = 0.1 / (0.5 / 8.54) = 0.1 / 0.0587 ≈ -2.83

Therefore, the value of the test statistic for this testing is approximately -2.83.

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Answer:

30 cubic feet

Step-by-step explanation:

volume of a pyramid is (l*w*h)=3

assuming it is a pyrmaid where l=w=h, volume = x^3/3 = 10

x^3=30

x=30^(1/3)

volume of a cube is l*w*h, with our assumption, that translates to x*x*x

Volume = 30^(1/3)*3 = 30 cubic feet

The volume of the cube, in relation to the given pyramid is: 30 cubic feet.

Relating both volumes, we would have:

Volume of cube = 3(volume of pyramid)

Volume of pyramid is given as 10 cubic feet, therefore:

Volume of the cube = 3(10)

Volume of the cube = 30 cubic feet.

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Implementing an expansion strategy, attracting capital, lowering tax obligations, facilitating entry into a business, and utilizing limited liability are all options are correct.

In most cases, a corporation is set up to benefit from restricted liability. This indicates that the shareholders, who are the corporation's owners, are not personally liable for the debts and liabilities of the business. The additional reasons you have provided for forming a corporation are also viable possibilities, but they are not its main objective. Establishing a corporation might be one approach to carry out an expansion strategy, which is a company's plan for growth and expansion.

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We are given the function: f(x) = 4x + 5

To find f(-2), we substitute the value of x with -2 to get:

f(-2) = 4(-2) + 5

f(-2) = -8 + 5

f(-2) = -3

OPTION C

Answer:

993

Step-by-step explanation:

The probability of of a random student having blue eyes and dark hair

 is 35% .

let consider the total students in the school be (U) = 100%

out of them ,

students having blue eyes (A) = 60%

students having  dark hair (B) = 55%

students with neither blue eyes nor dark hair (A∪B)' = 20%

let the students with blue eyes and dark hair be (A∩B) = x %

Then according to the set theorem

U = n(A∪B) + n(A∪B)'

U = n(A) + n(B) - n(A∩B) + n(A∪B)'

100 = 60 + 55 - x +20

∴ x = 60 + 55 +20 - 100

x = 35 %

So the probability of random student having blue eyes and dark hair is 35% .

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Answer:

another leg

Step-by-step explanation:

bc thats fax

The product of x * 5 * 5 is 25x.

The product of 1 * 3 * 3 * 5 is 45.

The product of 1/3 * 2 * 5 is 10/3 or 3.33 (rounded to two decimal places).

To find the product of expressions, you multiply the numbers or variables together according to the given expression.

1. Product of x * 5 * 5:

To find the product of x, 5, and 5, you multiply them together:

x * 5 * 5 = 25x

2. Product of 1 * 3 * 3 * 5:

To find the product of 1, 3, 3, and 5, you multiply them together:

1 * 3 * 3 * 5 = 45

3. Product of 1/3 * 2 * 5:

To find the product of 1/3, 2, and 5, you multiply them together:

1/3 * 2 * 5 = (1 * 2 * 5) / 3 = 10/3 or 3.33 (rounded to two decimal places)

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The correct answer is option D. We can be 95% confident that the sample proportion is captured by the confidence interval.

The margin of error of plus or minus three percentage points at a 95% confidence level means that the true proportion of people who jog regularly in the population is estimated to be between 15% and 21%. We can be 95% confident that the true proportion of people who jog regularly falls within this interval.

Therefore, option B is correct. Option A is incorrect because it implies that the margin of error always holds true for any sample size, which is not the case. Option C is incorrect because it presents a range of values for the population, not for the estimate. Option E is incorrect because it refers to the proportion of samples that would find the same sample proportion, not the range of values within which the true proportion lies.

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Answer:

C. Translation 5 units left and 2 units down

Step-by-step explanation:

Let's take a look at A', which is (0, 0). This is the result of A, which is (5, 2) being transformed somehow. Notice that the x-coordinate moved 5 units to the left (from 5 to 0, which means we subtract 5 from 5). And, notice that the y-coordinate moved 2 units down (from 2 to 0, so we subtract 2 from 2).

Look to see if this works for the other two points:

B(6, 1): if we subtract 5 from the x-coordinate 6, we get 6 - 5 = 1, which matches the x-coordinate of the image B'. If we subtract 2 from the y-coordinate of B, which is 1, we get 1 - 2 = -1, which also matches the y-coordinate of B'. So, this works.

C(4, 5): if we subtract 5 from the x-coordinate 4, we get 4 - 5 = -1, which matches the x-coordinate of the image C'. If we subtract 2 from the y-coordinate of C, which is 5, we get 5 - 2 = 3, which also matches the y-coordinate of C'. So, this again works.

Therefore, we know that the transformation is a translation 5 units left and 2 units down, or C.

A picture will be shown below of a graph with the points in the table.

We only need to use (5, 2) and (0, 0) to solve this problem.

We take both points and see what it took for the old point to get to where the new point is (Shown in picture below).

Therefore, the answer is [ C. Translation 5 units left and 2 units down ]

Best of Luck!

The total change in the number of bushels he has for sale after 7 days = 116.2

In this question,

A farmer sells an average of 16 3/5 bushels each day.

We write above improper fraction 16 3/5 in proper fraction as 83/5

And the decimal form of given fraction 83/5 is:

83/5 = 16.6

After 7 days, he would sold (16 3/5) × 7 bushels.

We simplify an expression (16 3/5) × 7

(16 3/5) × 7 = 16.6 × 7

                  = 116.2

As a result, the farmer would have only 120 - 116.2 = 3.8 bushels for sale.

Therefore, the total change in the number of bushels he has for sale after 7 days = 116.2

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As per the given height of the wall, the approximate weight is 149kN

The term Hydrostatic refers to the force exerted by static water on the plate or object and its magnitude depends upon the positioning of the object inside the water.

Here we have given the following values,

Height = 2.76 upright

Width = 10 m

Here we have to consider the hydrostatic force acting on the wall about the pinned point say P then the expression is looks like,

=> F = ωAx

=> F =  9810(10 × 4) × 2

=> F = 784800 N = 785KN

Now, the weight is calculated as per the Hydrostatic method as,

=> W = (1.33/7) x 785

=> W = 149 kN

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Answer:

based on the problem, if you are trying to get x or y by itself to solve, you need to subtract everything except your x or y (whatever one your solving for) and then if needed divide the number infront of your x or y (whatever your solving for) to both sides

Step-by-step explanation:

Answer:

1,4,9,25,36,49,64,81,100,121,144

Question: What numbers make up the perfect squares

Answer:  

A perfect square is a number that can be expressed as the product of two equal integers.

Step-by-step explanation:

9 9 is a perfect square because it can be expressed as 3 * 3 (the product of two equal integers) 16 16 is a perfect square because it can be expressed as 4 * 4 (the product of two equal integers)

Answer:

26 hours

Step-by-step explanation: divide 520 by 20 which gets you 26 .

to work 26 hours youll make exactly 520 dollars plus the for dollars is 560 which is more than 520

Answer:

just type it into ur web browser and you can get the answer

Step-by-step explanation:

thats what i do <3

\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)

The given steps are :

\(\qquad \sf  \dashrightarrow \: 144 {x}^{2} - 100\)

\(\qquad \sf  \dashrightarrow \: (12x + 10)(12x - 10)\)

\(\qquad \sf  \dashrightarrow \: 2(6x + 5)(6x - 5)\)

The error is in third step ~

Correct method :

\(\qquad \sf  \dashrightarrow \: (12x + 10)(12x - 10)\)

[ take 2 common out of both ]

\(\qquad \sf  \dashrightarrow \:2 (6x + 5) \sdot2(6x - 5)\)

[ 2 times 2 will be 4 ]

\(\qquad \sf  \dashrightarrow \: 4(6x +5 )(6x - 5)\)

Answer:

$87.50

Step-by-step explanation:

(70*0.25)+70=87.50

Hope this helps!

Answer:

$87.50

Step-by-step explanation:

The original price of the product is $70. To find the markup price multiply 70 by 0.25 which equals 17.50. Add 70 and 17.50 to get your final answer of $87.50.

The critical value zₐ/₂ that corresponds to an 83% level of confidence is approximately 1.381.

To find the critical value zₐ/₂, we need to determine the value that leaves an area of (1 - α)/2 in the tails of the standard normal distribution. In this case, α is the complement of the confidence level, which is 1 - 0.83 = 0.17. Dividing this value by 2 gives us 0.17/2 = 0.085.

To find the z-value that corresponds to an area of 0.085 in the tails of the standard normal distribution, we can use a standard normal distribution table or a statistical calculator. The corresponding z-value is approximately 1.381.

Therefore, the critical value zₐ/₂ that corresponds to an 83% level of confidence is approximately 1.381.

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The answer is B. Hope this helps

Answer:

It's C. " Which"

Step-by-step explanation:

The five Ws are Who, What, When, Where, and Why, not Which.

Answer:

  about 3.08 L

Step-by-step explanation:

You want the number of litres in the volume of a cylindrical can 14 cm in diameter and 20 cm high.

A litre is a cubic decimeter, 1000 cubic centimeters. As such, it is convenient to perform the volume calculation using the dimensions in decimeters:

The volume of the cylinder is given by the formula ...

  V = (π/4)d²h . . . . . . . where d is the diameter and h is the height

  V = (π/4)(1.4 dm)²(2.0 dm) ≈ 3.079 dm³ ≈ 3.08 L

The cylindrical can will hold about 3.08 litres.

<95141404393>

Answer:

9/16

Step-by-step explanation:

3/4 x 3/4 = 9/16

Total number of articles = 60

CP of each article = Rs. 150

Price at which he sell the remaining so as to to gain 10% on the whole deal.​

CP of 60 articles = 150 * 60 = Rs. 9000

1/3 of the articles are sold at Loss of 6%.

1/3 of articles = 1/3 * 60 = 20

⟹ CP of 20 articles = 20 * 150 = Rs. 3000

We know that,

SP = (100 - loss%)/100 * CP

⟹ SP of 20 articles = (100 - 6)/100 * 3000

⟹ SP of 20 articles = 94 * 30

⟹ SP of 20 articles = Rs. 2820

Also given that,

Total gain% = 10%

Gain% = Gain/CP * 100

⟹ 10 = Gain/9000 * 100

⟹ 10 * 9000 * 1/100 = Gain

⟹ Rs. 900 = Gain

We know,

Gain = Total SP - Total CP.

We have:

Total SP = SP of 20 articles + SP of 40 articles.

Total CP = CP of 60 articles = 9000.

So,

⟹ 900 = 2820 + SP of 40 articles - 9000

⟹ 900 - 2820 + 9000 = SP of 40 articles

⟹ Rs. 7080 = SP of 40 articles

∴ The remaining articles should be sold for Rs. 7080 to gain 10% on the whole transaction.

I hope it will help you.

Regards.

Answer:

→ 11(2 + y) + 11y

→ 22 + 11y + 11y = 154

→ 22y + 22 = 154

→ 22y = 154 - 22

→ 22y = 132

→ y = 132/22

→ y = 6

Step-by-step explanation:

Step-by-step explanation:

Given,

EF = 4x + 15

FG = 39

EG = 110

so,

EF + FG = EG

after our values

4x + 15 + 39 = 110

4x + 54 = 110

4x = 110 - 54

4x = 56

x = 56/4 = 14

x = 14.

hence value of x is 14.

hope this answer helps you dear...take care!!

Answer:

-1.55, 3.55 to nearest hundredth.

Step-by-step explanation:

First write this in vertex form:

f(x) = a(x - b)^2 + c

f(x) = a(x - 1)^2 - 13       where a is some constant.

f(x) = -11 when x = 0     so we have:

-11 = a(0 - 1)^2 - 13

a = -11 + 13 = 2.

intercept form is

f(x) = 2(x - 1)^2 - 13

When f(x) = 0 we have thd x-intercepts:

2(x - 1)^2 - 13 = 0

(x - 1)^2 = 6.5

x = ±√6.5 + 1

= 2.550 + 1, -2.550 + 1

x intercepts = 3.55, -1.55.

The graph shown below represents the equation y =\(3\sqrt{x+6} -3\)

Two number lines combine to form a two-dimensional surface known as a coordinate plane. It is created when the origin, a point where the X- and Y-axes coincide, is crossed by a horizontal line. Points are located using the numbers on a coordinate grid. You can graph points, lines, and many other things using a coordinate plane. It serves as a map and provides clear directions between two points.

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The discount amount is $29. The sale price of the scooter is $116.

What is the percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100 in mathematics. If we need to calculate the percentage of a number, divide it by the whole and multiply by 100. As a result, the percentage denotes a part per hundred. The term % refers to one hundred percent. The symbol "%" represents it.

Given that, the market price of a scooter is $145.

The discount on the scooter is 20%.

The discount amount is $145×20%

                                        = 145 × (20/100)

                                        = 145 × (1/5)

                                         = 29

The sale price is Marke price - discount

= $(145 - 29)

=$116

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