the equation of a line is y = 6x + 8 what is the gradient of the line

The area of the parallelogram, rounded to the nearest square foot, is approximately 1428 square feet.

Area of parallelogram = (side 1 length) * (side 2  length) * sin(angle).

Here the sine function relates the ratio of the length of the side opposite the angle, to the length of the hypotenuse in a right triangle.

In simple terms, we are using the sine function to determine the perpendicular distance between the two sides of the parallelogram.

Given that length of side 1 = 29 feet

length of side 2 = 50 feet

The angle between side 1 and side 2 = 80 degrees

Area = 29 * 50 * sin(80)

Sin 80 is approximately 0.984807.

Therefore , Area = 29 * 50 * 0.984807

Area ≈ 1427.97 = 1428 square feet

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Answer:

I believe it's 2/1

Step-by-step explanation:

Rate of Change is the same thing as slope so you can use \(\frac{rise}{run}\) using the graphed points. You count up 2 and go to the right once.

The selection of the two cubes is dependent on events because the outcome of the first event affects the probability of the second event. The selection of the yellow cube reduces the probability that a red cube is drawn next.

If the yellow cube had been put back into the bag, the selection of the two cubes would have been independent events because the outcome of the first event would not affect the probability of the second event. The probability of drawing a red cube would remain the same, which is 7/16.

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To find the number that makes the ratio 8:9 equivalent, we need to first understand the concept of equivalent ratios.Therefore, 9 is the number that makes the ratio 8:9 equivalent.

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Answer:

$4.89

Step-by-step explanation:

$1.63 x 3 = $4.89

Answer:

$4.89

Step-by-step explanation:

x= number of days

cost for one cappuccino: $1.63

1.63x -----> 1.63(3)= $4.89

Answer: yeah

Step-by-step explanation: if you're writing in scientific notation you pretty much write the power and look to see how much the decimal is moved over and if there is no decimal then look for the number to the left i think and turn it into a exponent

The least common multiple refers to the common multiple for the give numbers.

Among the answer choice, number 3 makes more sense. All the product of the common factors is the LCM.

Answer:

\(\frac{x+a}{b} = y\)

Step-by-step explanation:

"yb" means multiply so to solve you divide both sides by "b" to get y = x+a/b

Hope that helps and have a great day!

To determine the number of gallons of paint needed to cover office 143, we need to know the square footage of the office.

Once we have that information, we can divide the square footage by the coverage rate per gallon to calculate the required amount of paint.

Let's assume the square footage of office 143 is 800 square feet.

Number of gallons needed = Square footage / Coverage rate per gallon

Number of gallons needed = 800 square feet / 50 square feet per gallon

Number of gallons needed = 16 gallons

Therefore, you would need approximately 16 gallons of paint to cover office 143, assuming each gallon covers 50 square feet.

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To find the quotient \(\dfrac{14x^3 -21x^2 + 28x}{7x}\), you can break this into three separate fractions, each over \(7x\):

    \(\dfrac{14x^3 -21x^2 + 28x}{7x} =~ \dfrac{14x^3}{7x} ~-~\dfrac{ 21x^2}{7x} ~+~\dfrac{28x}{7x}\)

Now you need to just divide the 7 into each coefficient in the numerator and then cancel out x's as appropriate.

Deposit: = $600 on 1st April

Futher Depost = $200 on1st July

Interest rate = 2.60% per annum

Compounded = quarterly

Answer:

1 + 0 = 1

100 - 91 = 9

Step-by-step explanation:

Answer:

The inequality to describe the problem is 15 +c >25.

We must sell more than 5 cones to make a profit

Step-by-step explanation:

From this problem,  we can see that we need to sell a number of cones (c), that when added to the 15 cones that we have already sold, the result will be greater than 25.

To set up the inequality sign, we need to, first of all, know the inequality sign that we will be using. From the preceding statement, we can see that we need to sell greater than a certain number of cones.  

This should tell us that we will be needing the greater-than sign (>).

The next step is to know the format the equation should take:

We have sold 15 cones; We need to sell c more to make it greater than 25.

This will be 15 +c >25.

The inequality to describe the problem is 15 +c >25.

from this, we can see that c > 5 cones.

We must sell more than 5 cones to make a profit

The required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let 'a' be the cost per gallon of fuel in the year 2000, and 'b' be the inflation rate per year. If the rate of inflation is constant then
After 7 year inflation = 7b
Cost of fuel in 2007 = a + 7b

Now,
according to the question
Change in cost of fuel
= cost in 2007 - cost in 2000
= a + 7b - a
= 7b

Thus, the required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

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Answer:

not really

Step-by-step explanation:

Answer:

Bars !!!!!!

Step-by-step explanation:

Answer:

50-32*8

Step-by-step explanation:

An inequality to represent this situation is 5w + 32 ≤ 50.

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.

Given that on a particular airline, checked bags can weigh no more than 50 pounds. Sally packed 32 pounds of clothes and five identical gifts in a suitcase that weighs 8 pounds.

The inequality will be written as the sum of the clothes and the five identical gifts should be less than or equal to 50.

5w + 32 ≤ 50

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If block is shaped like a cube with edge lengths of 10 inches and Daniel decides to cut the block of clay into two pieces, then area of this newly exposed two-dimensional cross section is 141 inches².

When Daniel cuts the block of clay into two congruent chunks, he creates a cross section that is a square.

The diagonal of this square is equal to the diagonal of one face of the cube.

The diagonal of one face of the cube can be found using the Pythagorean theorem;

⇒ d = √(a² + b²),

Where a and b are the lengths of two sides of the face.

Since the cube has edge lengths of 10 inches,

We have,

⇒ d = √(10² + 10²) = √200 = 10√2,

So, diagonal of square cross section is 10√2 inches.

We see that the newly exposed cross section is a rectangle.

So, Length of rectangle will be = 10✓2 in, and breadth will be = 10 in.

The area of new cross section is :

⇒ 10 × 10✓2

⇒ 141 inches²

Therefore, the area of the newly exposed cross section is 141 inches².

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The given question is incomplete, the complete question is

Daniel buys a block of clay for an art project. The block is shaped like a cube with edge lengths of 10 inches. Daniel decides to cut the block of clay into two pieces. He places a wire across the diagonal of one face of the cube. Then he pulls straight back to create two congruent chunks of clay.

Daniel wants to keep one chunk of the clay for later use. To keep that chunk from drying out, he wants to place a piece of plastic wrap on the surface he exposed when he cut through the cube.

Find the area of this newly exposed two-dimensional cross section to the nearest whole square inch.

Answer:

i = -7/12

Step-by-step explanation:

(-3/4 + 4/3) + i = 0

(-9/12 + 16/12) + i = 0

7/12 + i = 0

i = -7/12

Answer:

f(x)⁻¹ = -5/3x - 5

Step-by-step explanation:

y = -3/5x - 3

x = -3/5y - 3

x + 3 = -3/5y

(x + 3)(-5/3) = y

-5/3x - 5 = y

Answer:

For the first one:

A' (-8,6)

B' (-9,10)

C' (-3,9)

D' (-2,5)

Step-by-step explanation:

The requried Burger Quick is able to estimate its wait time more consistently because it has a smaller IQR. Option A is correct.

A straightforward method of expressing statistical data on a plot in which a rectangle is drawn to represent the second and third quartiles, with a vertical line inside to indicate the median value.

Here,
Burger Quick is able to estimate its wait time more consistently because it has a smaller interquartile range (IQR). The IQR is a measure of the spread of the middle 50% of the data and is calculated as the difference between the third quartile (Q3) and the first quartile (Q1). The smaller the IQR, the more consistent the data is around the median, which is represented by the line within the box in the box plot.

In this case, Burger Quick has a smaller IQR (8.0) compared to Super Fast Food (7.0), indicating that the wait times at Burger Quick are more consistent around the median. The range, which is the difference between the maximum and minimum values, is not a good measure of consistency as it is affected by outliers.

Therefore, based on the given information, Burger Quick is able to estimate its wait time more consistently because it has a smaller IQR.

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Answer:

The correct answer is B. {0, 20, 40, 60, 80, 100, 120}

Step-by-step explanation:

1. Let's check all the information given to answer this question correctly:

Rate of each piano lesson Blake gives = US$ 20

Blake can give between 0 and 6 lessons every evening

Earnings = Number of lessons * Rate of each lesson

2. What is the range of this relation?

Let's recall that the domain of a relation is the set of all values for which the relation is defined, and the range of the relation is the set of all values that the relation takes.

It means that the domain of the relation in this case is the number of lessons that Blake can give every evening:

{0, 1, 2, 3, 4, 5, 6}

And the range of this relation is the amount Blake earns in an evening depending on the number of lessons he gives:

{0, 20, 40, 60, 80, 100, 120}

The correct answer is B. {0, 20, 40, 60, 80, 100, 120}

Answer:

The half life is 14.4 seconds because the half life is the time it takes for half of a sample to decay.

Hope this helps!

The linear equation doesn't have a solution.

The linear equation given is illustrated as: 4x-(2x-1) = x+5+x-6

This will be solved thus:

4x - 2x + 1 = x+5+x-6

4x - 2x + 1 = 2x - 1.

2x + 1 = 2x - 1

Collect like terms

2x - 2x = -1 - 1

0 = -2

This illustrates that the equation doesn't have a solution.

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At the 5% level of significance, the machine is not properly calibrated.

To determine if the machine is properly calibrated, we need to conduct a hypothesis test using the given data. Let's define our null and alternative hypotheses as follows:

Null hypothesis (H0): The machine is properly calibrated and the true mean thickness of the widgets is 0.05 inches.

Alternative hypothesis (Ha): The machine is not properly calibrated and the true mean thickness of the widgets is not equal to 0.05 inches.

We will use a two-tailed t-test to test the hypothesis since we have a sample size of 10, and the population standard deviation is unknown. The test statistic for this hypothesis test is calculated as:

t = (x - μ) / (s / sqrt(n))

where x is the sample mean thickness, μ is the hypothesized population mean thickness (0.05 inches), s is the sample standard deviation, and n is the sample size (10).

Plugging in the given values, we get:

t = (0.053 - 0.05) / (0.003 / sqrt(10)) = 3.055

The degrees of freedom for this test is 9 (n - 1). Using a t-table or calculator, we can find the critical t-value for a two-tailed test with 9 degrees of freedom and a significance level of 0.05 to be approximately 2.262.

Since our calculated t-value (3.055) is greater than the critical t-value (2.262), we can reject the null hypothesis at the 5% level of significance. This means that there is sufficient evidence to suggest that the machine is not properly calibrated and that the true mean thickness of the widgets is likely not equal to 0.05 inches.

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we have

the solution is the interval {2, infinite)

In a number line the solution is the shaded area at right of a=2 (close circle)

therefore

the answer is

First option

Answer:

m∠x = 63

m∠y = 45

m∠z = 72

Answer:

m∠x = 63

m∠y = 45

m∠z = 72

Step-by-step explanation:

plato

Answer:

c = 14

Step-by-step explanation:

hope this helps

14 mph

Step-by-step explanation:

13.636364

is what you get by doing

100/15 then you get 6.6666......7

after that you multiply that by 3600 because thats how many seconds in that hour.

Then you get 24000 and transfer it to miles and get 13.636364 and you round it and get 14mph

Hi!

Your answer is Infinite.

Here's why:

When you solve this system of equations your final answer will come down to x=x.

When this happens you know that the solution amount is infinite!

I hope this helps!

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