Simplify.

4(7d+9)

A. 28d + 36

B. 28d + 9

C. 11d + 13

D. 11d + 9

Answer:

11

Step-by-step explanation:

50 x 0.20 = 11

Answer:

10

Step-by-step explanation:

20 / 100 = 0.20 then you mulity 50 and 0.20. 50 * 20 = 10

In one sweep, the area covered by the sprinkler is 77.19 sq ft (approx). The area of the lawn, to the nearest square foot, that receives water from this sprinkler is 616 sq ft (approx).

We know that a rotating sprinkler can reach up to 14 feet through a 300-degree angle. Area covered by the sprinkler in one sweep = area of the sector whose radius = 14 feet and angle = 300°Area of sector = (θ / 360) × πr²Where θ = 300°, r = 14 ftArea of sector = (300/360)× π(14)²= 77.19 sq ft (approx) Therefore, the area covered by the sprinkler in one sweep is 77.19 sq ft (approx).

We need to find the total area of the lawn that receives water from this sprinkler. The sprinkler rotates 360 degrees, so it will cover a full circle whose radius is 14 feet. Area of a circle = πr²= π(14)²= 615.752 sq ft (approx) Therefore, the area of the lawn, to the nearest square foot, that receives water from this sprinkler is 616 sq ft (approx).

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The answer to the statement of the variable yield ordinal data is A. Yes, because the data are ordered in some way.

Ordinal data is a type of data that has a natural order or ranking among its values. In other words, the data can be arranged in a meaningful order or sequence such as low to high, best to worst, or A to F.

The given variable yields ordinal data because the data is ordered in some way. It can be ranked based on the given scale, which implies that one value is greater than or less than another value in a meaningful way. Therefore, option A is correct.

In summary, ordinal data is a type of data that can be ordered or ranked in a meaningful way. The given variable fits the definition of ordinal data because it has values that are ordered in some way, either numerically or alphabetically. Option A correctly identifies this characteristic of ordinal data.

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The values of x for which the series converges is (-4,4)

The sum of the series for these values of x is x/(4-x)

The question stated can be solved by using concept of Geometric series converges .

By the geometric series theorem , we can say ,

if |r| < 1 , series converges

if |r| >= 1 , series diverges

∑\((x/4)^{n}\)  n ranges from (1,∞)

r=x/4

By geometric series converge theorem,

|r| < 1

|x/4| < 1

|x|<4

-4 < x < 4

Therefore , the mentioned series converges when x lies between (-4,4)

Now to find sum we have a formula ,

(r^(lower limit))/1-r

Now substituting the values that is r=x/4 and lower limit=1 , we have

\(\frac{x/4 }{1-x/4} }\)

After solving this , we have the required sum as x/(4-x)

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Answer:

<

Step-by-step explanation:

167.462 is 0.062 larger than 167.400

Answer:

1

Step-by-step explanation:

Answer:

C. (x+9)(x-7)

Step-by-step explanation:

(x*x)=x^2

(9*x)=9x

(-7*x)= -7x

(9*-7)= -63

x^2+9x-7x-63 = x^2+2x-63

Answer: Less than 25%

Step-by-step explanation:

1. Find the difference of the two numbers: 1,207 - 957 = 250

decrease = original number - new number

2. Then, divide the decrease by the original number

250/1,207 = 0.207

3. Multiply the answer by 100 to get the percentage

0.207 x 100 = 20.7%

Therefore, the number of people fell by 20.7%

Hence, the answer is less than 25%

The equation of the tangent line to the curve y = 5x^3 - 3x + 1 at the point where x = 0 can be found using the derivative of the function. The equation of the tangent line is y = -3x + 1.

To find the equation of the tangent line to the curve at the point where x = 0, we need to find the slope of the tangent line. The slope of the tangent line at a given point on the curve is equal to the derivative of the function at that point.

The given function is y = 5x^3 - 3x + 1. Taking the derivative of this function with respect to x, we get:

dy/dx = 15x^2 - 3

Now, we evaluate the derivative at x = 0:

dy/dx = 15(0)^2 - 3 = -3

The slope of the tangent line at x = 0 is -3.

To find the equation of the tangent line, we use the point-slope form of a line, where the slope is -3 and the point is (0, 1) (since x = 0 on the curve):

y - y1 = m(x - x1)

Plugging in the values, we have:

y - 1 = -3(x - 0)

y - 1 = -3x

Rearranging the equation, we get:

y = -3x + 1

Therefore, the equation of the tangent line to the curve y = 5x^3 - 3x + 1 at the point where x = 0 is y = -3x + 1.

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The two numbers b1 and b2 such that  P(b₁< S² < b₂) = .9 is b1 = 0.297 and b2 = 2.112 and the interval of values for S² with a high probability is (0.297, 2.112).

To find the interval of values for S² with a high probability, we can use the chi-squared distribution.

Since we have a sample size of 10, the degrees of freedom for the chi-squared distribution is 10 - 1 = 9.

We want to find b₁ and b₂ such that the probability P(b₁ < S² < b₂) = 0.9.

Using a chi-squared distribution table or calculator with 9 degrees of freedom, we can find the values of x₁ and x₂ such that P(X < x₁) = 0.05 and P(X < x₂) = 0.95, where X is a random variable with a chi-squared distribution with 9 degrees of freedom.

We have:

P(X < x₁) = 0.05

P(X < x₂) = 0.95

From the table or calculator, we find that x₁ = 2.7 and x₂ = 19.02.

Then we have:

P(2.7 < (n-1)S²/σ² < 19.02) = 0.9

Multiplying both sides by σ²/(n-1), we get:

P(2.7σ²/(n-1) < S² < 19.02σ²/(n-1)) = 0.9

Substituting σ² = 1 and n = 10, we get:

P(0.297 < S² < 2.112) = 0.9

Therefore, the interval of values for S² with a high probability is (0.297, 2.112).

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Answer:

2000

Step-by-step explanation:

1600 is 100% - 20% = 80% of the original price.

So it is 4/5 of the original price.

So, the marked price is 1600 * 5/4 = 2000

Answer:

4.27 meters

Step-by-step explanation:

Answer: 18 is 45% of 40

18/40 =.45

.45 x 100 = 45%

Answer:

  2a.  ((500x +200)x +600)x

  2b.  $1350.68

  3.  -1

Step-by-step explanation:

2. You want to know the balance in an account at the end of 3 years with deposits at the beginning of successive years being $500, $200, and $600, and with deposits having an annual growth factor of x. You want (a) an expression for the balance in terms of x, and (b) the balance when x=1+2%.

3. You want the value of p(-2) for p(x) = 5x³ +8x² -3x + 1.

$500 is deposited at the beginning of the first year. The problem statement tells us that this has been multiplied by growth factor x by the end of the year, so the balance at that point is 500x.

At the beginning of the second year, $200 is added to the account, and the entire amount is multiplied by the growth factor for the year. That makes the balance at the end of the second year be ...

  (500x +200)x

Then $600 is added, and again the account grows by a factor of x. At the end of the third year, the balance is ...

  balance = ((500x +200)x +600)x

The growth factor is given as x = 1 +r. When r = 2%, this becomes x = 1.02. Then the balance at the end of year 3 is ...

  ((500·1.02 +200)·1.02 +600)·1.02 = 1350.68

The amount in the account at the end of three years is $1350.68.

__

The value of p(x) = 5x³ +8x² -3x +1 for x=-2 is found by substituting -2 where x is found. Evaluation can be easier by rewriting the polynomial to Horner form:

  p(x) = ((5x +8)x -3)x +1

  p(-2) = ((5(-2) +8)(-2) -3)(-2) +1 = ((-2)(-2) -3)(-2) +1 = (1)(-2) +1 = -1

The value of the function for x=-2 is -1.

__

Additional comment

You will note that the expression in problem 2 is also written in Horner form. If it were expanded, it would be 500x³ +200x² +600x. Evaluation takes fewer steps when Horner form is used.

Answer:

the answer is 80 degrees. angle between 2 parrael line is same

Answer:

$61,671.75

Step-by-step explanation:

There is a calculator called "Sales Tax Calculator" and if you put in your Before Tax Price and your Sales Tax Rate you will receive your answer of $61,671 and 75 Cents. ($61,671.75)

The distance along the unit circle between any two successive 8th roots of 1 is c) π/4.

To find the distance along the unit circle between any two successive 8th roots of 1, we can consider the concept of angular displacement.

Each 8th root of 1 represents a point on the unit circle that is evenly spaced by an angle of 2π/8 = π/4 radians.

Starting from the point corresponding to 1 on the unit circle, we can move π/4 radians to reach the first 8th root of 1. Moving π/4 radians further will bring us to the second 8th root of 1, and so on.

Since we are moving by π/4 radians for each successive 8th root of 1, the distance between any two successive 8th roots of 1 is π/4 radians.

Therefore, the correct answer is option c. π/4.

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Answer:

Man lemme tell u every answer i put on here get delted what?

Step-by-step explanation:

Imm fed up man. IM JUST TRNA GET POINT SCREAMS*

I WANNA HELP PEOPLE

The latest time for pickup, found by converting the 150 minutes maximum time provided by the school, from minutes to hours is about 5:45 pm

Minutes can be converted into hours by dividing the number of minutes by 60, which is the number of minutes in an hour.

The time that school ends = 3:15 pm

The latest time for pick up after school care = 150 minutes after school ends

Therefore, the latest time for pick up after school care = 3:15 pm + 150 minutes

60 minutes = 1 hour

150 minutes = (1/60) × 150 = 2.5

The latest for pick up = 3:15 pm + 2.5 hours = 5:45 pm

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Both Billy and Sam have the same proportion of cement in their mortar, which is 80% of the total mass. Billy's mixture has more cement than Sam's.

Billy and Sam make mortar by mixing cement and sand. Billy uses 360 kg of cement and 90 kg of sand, while Sam uses 340 kg of cement and 85 kg of sand. We need to determine which of them has a higher proportion of cement.

Let's calculate the proportion of cement in Billy's mortar:

Proportion of cement in Billy's mortar = (mass of cement / total mass of mixture) x 100%

Proportion of cement in Billy's mortar = (360 / (360+90)) x 100%

Proportion of cement in Billy's mortar = 80%

Now let's calculate the proportion of cement in Sam's mortar:

Proportion of cement in Sam's mortar = (mass of cement / total mass of mixture) x 100%

Proportion of cement in Sam's mortar = (340 / (340+85)) x 100%

Proportion of cement in Sam's mortar = 80%

Therefore, both Billy and Sam have the same proportion of cement in their mortar.

In other words, the amount of cement in their mixture is 80% of the total mass of the mixture. Billy's mixture has more cement than Sam's mixture.

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Answer:

10

Step-by-step explanation:

In triangle ACE, B and F are mid points of sides CA and CE respectively.

Therefore, BF is the mid segment of triangle ACE.

By Mid-segment formula:

AE =2BF

5x - 4 =2*23

5x - 4 = 46

5x = 46+4

5x = 50

x = 50/5

x = 10

Answer:

0.0495

Step-by-step explanation:

used a calculator

0.0495.

\(495 / 10000 = 0.0495.\)

B)

The equation that relates x and y in the given table is y = 10x + 10.

We have,

To find the equation that relates the variables x and y in the given table, we can observe the pattern in the values.

From the table, we can see that as x increases by 1, y decreases by a certain amount each time.

Let's examine the differences between consecutive values of y:

30 - 20 = 10

20 - 15 = 5

15 - 12 = 3

We notice that the differences between consecutive values of y are decreasing by 5 each time.

This suggests that y is decreasing linearly as x increases.

Now, let's find the slope of the line.

Taking the differences between consecutive values of y and x:

Δy = 10

Δx = 1

Slope (m) = Δy / Δx = 10 / 1 = 10

The slope of the line is 10.

Next, we can find the y-intercept (b) by examining the table or using the point-slope form of a linear equation.

From the table, when x = 2, y = 30. This gives us a point (2, 30) on the line.

Using the point-slope form:

y - y1 = m (x - x1)

Substituting the values (x1, y1) = (2, 30) and the slope m = 10:

y - 30 = 10(x - 2)

Simplifying:

y - 30 = 10x - 20

y = 10x + 10

Therefore,

The equation that relates x and y in the given table is y = 10x + 10.

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Answer:

0.75 litres

Step-by-step explanation:

1 ml= 0.001 litres

Answer:

0.75 L

Step-by-step explanation:

1 ml = 0.001

0.001*750 = 0.75 L

Answer:

24m-28

Step-by-step explanation:

4*6m=24m

-7*4=-28

24m -28

Answer:

24m-28

Step-by-step explanation:

The experimental probability of winning a prize in the contest is 1/28 or approximately 0.0357.

To calculate the experimental probability of winning a prize in the contest, we need to divide the number of winning caps found by the total number of caps examined.

Here are the steps to follow:

Calculate the total number of caps examined:

Total number of bottles bought x Number of caps per bottle = Total number of caps examined

56 bottles x 1 cap per bottle = 56 caps examined

Calculate the number of winning caps found:

Given: 2 winning caps were found

Calculate the experimental probability of winning a prize:

Experimental probability = Number of winning caps found / Total number of caps examined

Experimental probability = 2 / 56

Experimental probability = 1 / 28

Explanation: Out of 56 caps examined, only 2 were found to be winning caps. Therefore, the probability of finding a winning cap is 2/56, which can be simplified to 1/28. This means that on average, for every 28 caps examined, one is expected to be a winning cap.

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Answer:

12 units

Step-by-step explanation:

hope this helped luv!

False. A rectangle is conventionally used in a process flowchart to represent a storage area or queue. Triangles are typically used in flowcharts to represent decision points, where a choice must be made between two or more alternatives.

Rectangles are used to represent activities or operations, while arrows connecting the shapes indicate the flow or direction of the process. The use of standardized shapes in flowcharts helps to make them easily understandable and accessible to a wide range of individuals, regardless of their background or experience with the specific process being depicted.

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Answer:

X = 40.5 ( or ) 81/2

Step-by-step explanation:

See the answer in the attached picture