Write the equation of each line in slope-intercept form.


Please help!!

Answer: 145

Given that the total angle of a quadrilateral is equal to 360, we can find the fourth angle by subtracting the three given angles from 360.

Therefore, the fourth angle measures 145 degrees.

Answer:

c

Step-by-step explanation:

Answer:

the percent error in the student's measurement is 4.65%.

Step-by-step explanation:

The percent error can be calculated using the formula:

| (measured value - actual value) / actual value | * 100%

In this case, the measured value is 2.7 grams and the actual value is 2.58 grams. Substituting these values into the formula, we get:

| (2.7 - 2.58) / 2.58 | * 100% = 4.65%

Rounding this to the nearest hundredth of a percent, we get a percent error of 4.65%.

Therefore, the percent error in the student's measurement is 4.65%.

The slope of a line parallel to 2y= 6x+8 is 3.

In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

In Mathematics and Geometry, parallel lines are two (2) lines that are always the same (equal) distance apart and never meet. Therefore, two (2) lines are parallel under the following conditions:

m₁ = m₂

By making y the subject of formula, we have:

2y = 6x + 8

y = 3x + 4

Therefore, the slope is 3.

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Answer:

store A is 278.4 and store B is 260 and the cost for one shirt from store b is 8.125

Step-by-step explanation

6.96 x 40 gives you 278.4

325 - 20% gives you 260

325 divided by 40 gives you 8.125

then to check your answer you multiply 40 and 8.125 and it gives you 325

Answer:

Part B:

5) She will have $4445.244256 in 3 years

Part C:

1) She will have $8081.130039 in 10 years

2) He will have $13360.55059 in 8 years

Step-by-step explanation:

The formula of the compound interest is A = P \((1+\frac{r}{n})^{nt}\), where

Part B:

5)

∵ P = $4250

∵ r = 1.5% = 1.5 ÷ 100 = 0.015

∵ n = 4 ⇒ Compounded quartly

∵ t = 3 years

→ Substitute them in the formula above

∴ A = 4250 \((1+\frac{0.015}{4})^{4(3)}\)

∴ A = 4250 \((1.00375)^{12}\)

∴ A = 4445.244256

∴ She will have $4445.244256 in 3 years

Part C:

1)

∵ Grace deposits $6000

∴ P = 6000

∵ The account is compounded semi-annually at 3%

∴ r = 3% = 3 ÷ 100 = 0.03

∴ n = 2 ⇒ compounded semi-annually

∵ The time is 10 years

∴ t = 10

→ Substitute them in the formula above

∴ A = 6000 \((1+\frac{0.03}{2})^{2(10)}\)

∴ A = 6000 \((1.015)^{20}\)

∴ A = 8081.130039

∴ She will have $8081.130039 in 10 years

2)

∵ Danial opens an account that is compounded semi-annually at 5%

∴ r = 5% = 5 ÷ 100 = 0.05

∴ n = 2 ⇒ compounded semi-annually

∵ He deposits $9000

∴ P = 9000

∵ The time is 8 years

∴ t = 8

→ Substitute them in the formula above

∴ A = 9000 \((1+\frac{0.05}{2})^{2(8)}\)

∴ A = 9000 \((1.025)^{16}\)

∴ A = 13360.55059

∴ He will have $13360.55059 in 8 years

9514 1404 393

Answer:

  (a) 11·10^21

Step-by-step explanation:

"Scientific notation" has a mantissa that has one digit to the left of the decimal point. The number 11·10^21 has two digits to the left of the decimal point, so is not in the form required by scientific notation.

  11·10^21 is not in scientific notation

_____

It would be correctly written in scientific notation as as 1.1·10^22.

Answer:

A) 11 ⋅ 10^21

Answer:

a)The equation of the Parallel line to the given line is

                                        7x -y +18 =0

b) The equation of the Perpendicular line to the given line is

                                             -x +7y +18 =0

Step-by-step explanation:

Step(i):-

Given that equation of the line y = 7x -5

                                              7x -y -5=0

The equation of the Parallel line to the given line is

                                             7x -y +k=0

This line is passes through the point ( -3,-3)

                                            7 ( -3) -(-3)+k=0

                                         -21 +3+k=0

                                           -18 +k=0

                                                k =18

The equation of the Parallel line to the given line is

                                        7x -y +18 =0

Step(ii):-

Given that equation of the line y = 7x -5

                                              7x -y -5=0

The equation of the perpendicular line

                                           b x -ay +k=0

The equation of the Perpendicular line to the given line is

                                             -x +7y +k=0

This line is passes through the point ( -3,-3)

                                          -(-3)+7(-3) +k=0

                                         3 - 21 +k=0

                                        -18 +k=0

                                             k =18

The equation of the Perpendicular line to the given line is

                                             -x +7y +18 =0

Answer:

24 is the number. The sum of its digits is 6.

Step-by-step explanation:

There are four two-digit numbers the product of whose digits is 8: 18, 24, 42, and 81. Of these numbers, 24 is four times the sum of its digits:

24 = 4 × 6 = 4 × (2 + 4)

Answer:

{-5, -1, 2}

Step-by-step explanation:

domain is the inputs or x numbers

Gus will need to fill the bucket 3 times to completely fill the fish tank, assuming he doesn't spill any water.

To find how many times Gus will need to fill the bucket to completely fill the fish tank, we first need to calculate the volume of the bucket. The formula for the volume of a cylinder is:

V = πr²h

where V is the volume, r is the radius, and h is the height.

Substituting the given values into the formula gives:

V = 3.14 x 5² x 20

V = 3.14 x 25 x 20

V = 1570 inches³

Therefore, each time Gus fills the bucket, he will add 1570 inches³ of water to the fish tank. To calculate how many times he needs to fill the bucket to fill the entire fish tank, we can divide the total volume of the fish tank by the volume of the bucket:

4710 / 1570 = 3

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Complete question is:

Gus has a fish tank that holds 4710 inches³ of water. He is using a cylinder shaped bucket with a radius of 5 inches and a height of 20 inches to fill the tank. How many times will Gus need to fill the bucket to completely fill the fish tank if he doesn't spill a drop?

Answer:

So the answer is going to be B. AKA 22.5

Step-by-step explanation:

I took the test on ed and got this answer right! hth (hope this helps)

Answer:

B, second option, 22.5

Step-by-step explanation:

1.)because

2.)i'm

3.)kinda

4.)smart

answer=22.5:))))))))

Answer:

3 hours working on problems, 1 hour reading

Step-by-step explanation:

From the given information:

We learned that If Nick can attempt more than 15 problems in an hour, working on problems will helo and aid further his grade for that particular hour than reading would.

We know that the marginal gain for three hours is greater than 15. This implies that Nick would get better by spending 3 hours on problem-solving and the rest 1 hour on reading since the marginal gain for that an hour is one problem solved. Hence, it will be advisable to spend it on reading.

259.25π in² is the surface area of the cone

The surface area of a cone can be calculated using the formula SA = πr² + πrl

where r is the radius and l is the slant height.

Given that the diameter is 17 inches, the radius (r) is half of the diameter, which is 17/2 = 8.5 inches.

The slant height (l) is given as 22 inches.

Substituting these values into the formula:

Surface Area = π(8.5)² + π(8.5)(22)

= 72.25π + 187π

= 259.25π

Therefore, the surface area of the cone is 259.25π in²

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Answer:

AI=3.25 IH= 4.2

Step-by-step explanation

The distance between C and D is 1.3 inches, the distance between E and F is 0.75 inches and the distance between G and H is 1.2 inches. This is true because the model says so. If you look closely together, this is equal to the distance between AI which is the length of AI. The answer would be 1.2+1.3+0.75=3.25. To find the length of side IH you do the same strategy, the distance between sides D and E is 4.8 inches, at the bottom is 9 inches of distance between side I and side F. 9-4.8 inches is equal to 4.2 inches. Therefore, the length of side AI is 3.25 inches and the length of side IH is 4.2 inches. If I am wrong please tell me for feedback, I also hoped that this has helped you in your learning :)

Answer:

Step-by-step explanation:

AI is 3.25

IH is 4.2

Area is 23.025

Answer:

Step-by-step explanation:

1. x is inversely proportional to y

x=k/y

k is the constant of proportionality

x =60/y

2. x=60/y

x=60/12

x=5

The equivalent exponential equations are given as follows:

\(2^{4x} = 2^{3(x - 3)}\)

The exponential expression for this problem is defined as follows:

\(2^{4x} = 8^{x - 3}\)

The number eight is the third power of 3, that is:

8 = 2³.

The power of a power rule is used when a single base is elevated to multiple exponents.

Then the simplified expression is obtained keeping the base, while the exponents are multiplied.

Meaning that the equivalent expression on the right side of the equality in this problem is given as follows:

\(8^{x - 3} = (2^3)^{x - 3} = 2^{3(x - 3)}\)

Meaning that the correct option is given by the fourth option.

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Answer:

d.

Step-by-step explanation:

A lurking variable is is a variable that is not measured in the study. It is variable that greatly affects the results or the correlation in a graph.

Population of the city cannot be a variable because it has a definite or 1 measurement in a study which is cannot have different values

Amount of time it takes to get to work, this is also not a variable because this can be constant for each residents in the city

Age of residents, this data can be expressed as a range which is most likely to be a lurking variable. Because in each data of age, or in every age of the residents, there can be have different data of values for the graph.

So the answer is Age of residents

Thus, 715,000 =  7.15 x 10⁵, using the concept of scientific notations, both the values are found to be equal.

The number of times that decimal point must be moved to obtain a number between 1 and 10 is the exponent in scientific notation. The decimal point is shifted to the left in order to represent this number in scientific notation.

The main goal of scientific notation is to simplify computations using numbers that are abnormally large or small. With scientific notation, every digit counts because zeros are just no longer used to denote the decimal point.

Given expression:

715,000 __ 7.15 x 10⁵

LHS = 715,000

Take the RHS value :

= 7.15 x 10⁵

This, can be simplifies as:

= 7.15 x 100,000

Now multiply the two values,

= 715,000 (RHS values)

as, LHS  = RHS

LHS = 715,000

715,000 (RHS values)

Thus, 715,000 =  7.15 x 10⁵, using the concept of scientific notations, both the values are found to be equal.

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so we need to find D

By using the Trignometry function for the diagram

opp = 3 Adj = 2

QUESTION 2

To solve for AD

Answer:

Follow if you found his helpful

Step-by-step explanation:

To find the density of the house in BTUs, we need to find its volume in cubic feet. The volume of a rectangular prism is given by:

Volume = length x width x height

Substituting the given values, we get:

Volume = 80 ft x 25 ft x 8 ft

Volume = 16,000 cubic feet

Now, we can find the density by dividing the total BTUs required by the volume of the house:

Density = Total BTUs / Volume

Density = 60,000 BTUs / 16,000 cubic feet

Density ≈ 3.75 BTUs per cubic foot

Therefore, the density of the house in BTUs is approximately 3.75 BTUs per cubic foot.

The expression that is always equivalent to sin x when 0° < x < 90° is (1) cos (90° - x). Option 1

To understand why, let's analyze the trigonometric functions involved. In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. Since we are considering angles between 0° and 90°, we can guarantee that the side opposite the angle will always be the shortest side of the triangle, and the hypotenuse will be the longest side.

Now let's examine the expression cos (90° - x). The cosine of an angle is defined as the ratio of the length of the side adjacent to the angle to the length of the hypotenuse. In a right triangle, when we subtract an angle x from 90°, we are left with the complementary angle to x. This means that the remaining angle in the triangle is 90° - x.

Since the side adjacent to the angle 90° - x is the same as the side opposite the angle x, and the hypotenuse is the same, the ratio of the adjacent side to the hypotenuse remains the same. Therefore, cos (90° - x) is equivalent to sin x for angles between 0° and 90°.

On the other hand, options (2) cos (45° - x) and (3) cos (2x) do not always yield the same value as sin x for all angles between 0° and 90°. The expression cos x (option 4) is equivalent to sin (90° - x), not sin x.

Option 1 is correct.

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Step-by-step explanation:

= -15x²-24x-35x-56

= -15x²-59x-56

Answer:

A and D.

Step-by-step explanation:

Answer:

w= -27

Step-by-step explanation:

w/3 = -9

w = 3 * -9 = -27

Answer:

y=6^x+0.612 - 4

Step-by-step explanation:

x = -4 ---> horizontal asymptote

m = 6 ---> use points (0, -1) and (1, 5)

Parent function of the graph: \(y=b^x\)

Our equation: \(y=6^x\)

Add alterations:

Final equation: y=6^x+0.612 - 4

The equivalent decimal and mixed number for given letter C is,

⇒ C = 8.2 ; 8 2/10

We have to given that,

A number line is shown in image.

Since,

A number lines are the horizontal straight lines in which the integers are placed in equal intervals.

And, All the numbers in a sequence can be represented in a number line. This line extends indefinitely at both ends.

Now, By given number line,

Point C is two point left from point 8.

Hence, The point C is denoted as,

⇒ C = 8.2

⇒ C = 82/10

⇒ C = 8 2/10

Therefore, the equivalent decimal and mixed number for given letter C is,

⇒ C = 8.2 ; 8 2/10

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