Evaluate p(x) = -3 + 4x when x = -2, 0, & 5

p(-2) =
p(0) =
p(5) =

Answer: 7 3/4 pounds

Step-by-step explanation:

Here's the correct question:

Last year, Bob's Market ordered 15 1/2 pounds of plums from a local orchard. This year, the market plans to order 1 1/4 times as many pounds of plums as were ordered last year. They want 2/5 of this order to be red plums. What is the total amount, in pounds, of red plums the market plans to order this year?

The amount of pounds of plum that is ordered this year will be:

= 15 1/2 × 1 1/4

= 31/2 × 5/4

= 19 3/8

Since they want 2/5 to be red plums, the total amount of red plums will then be:

= 2/5 × 19 3/8

= 2/5 × 155/8

= 310/40

= 7 3/4 pounds

Answer:

\( - 35\)

Step-by-step explanation:

1. Simplify 6 - 16 to - 10.

\(5 - ( - 10) \times (3 - 7)\)

2. Simplify 3 - 7 to -4.

\(5 - ( - 10) \times - 4\)

3. Simplify (-10) × -4 to 40.

\(5 - 40\)

4. Simplify.

\( - 35\)

Therefor, the answer is -35.

The surface area of that part of the plane 10x+7y+z=4 inside the elliptic cylinder x^2/25+y^2/9=1 is equal to πab, where a=5 and b=3. Therefore, the surface area is equal to 45π.

Total area on a three-dimensional shape's surface is known as surface area. The surface area of a cuboid with six rectangular faces can be calculated by adding the areas of each face. Alternatively, you can write down the cuboid's length, width, and height and use the formula surface area (SA)=2lw+2lh+2hw.

The general formula for a cube's surface area is as follows: The area of the base plus the area of the cube's vertical surfaces will add up to the cube's total surface area. The cube's total surface area is calculated using the formula 6a2, where an is the side length.

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1) Option B, which states that the confidence interval size shrank from 0.99 to 0.90, is the right answer.

2) Option D is the best decision. Confidence interval: 0.88

1) Confidence intervals are ranges of estimates for unknown parameters in frequentist statistics. Confidence intervals are given a confidence level. The most common level is 95%, but other levels, such as 90% or 99%, may be used as well.

Therefore, option B is the correct choice, which states that the confidence interval size decreased from 0.99 to 0.90

2) Probability is another word for confidence in statistics. An estimate that falls between the upper and lower values of a confidence interval, such as one constructed with a 95% level of confidence, is 95 out of 100 times likely to be accurate.

It can be calculated as:

df=n-1=19

t critical value 0.12 (two tail) = 1.62797

M = 51.5

sM = √(6.842 / 20) = 1.53

μ = M ± Z (sM)

μ = 51.5 ± 1.62797 * 1.53

μ = 51.5 ± 2.49

therefore, CI { 49.01 and 53.99 }

The correct choice is option D. 0.88 confidence interval.

. move the slider all the way to the right to a confidence coefficient of 0.99. now move the slider to a confidence coefficient of 0.90. what happened to the size of the confidence interval during the move from 0.99 to 0.90? from 0.99 to 0.90 the confidence interval size became larger from 0.99 to 0.90 the confidence interval size became smaller from 0.99 to 0.90 the confidence interval size remained constant -select- 2. what level of confidence would you need have so that the value of the true population mean of training time was between 49.01 and 53.99 days? 0.93 0.97 0.85 0.88

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Answer:

Expanded Notation: 7,425=7,000+400+20+5

Expanded Factors: 7,425=7*1,000+4*100+2*10+5*1

Expanded Exponential: 7,425 =7 × 103+4 × 102+2 × 101+5 × 100

Word: seven thousand four hundred twenty-five

Step-by-step explanation:

Hope this helped, Have a Wonderful Day/Night!!

Answer:

Accounts receivable in January = $68,432.60

Accounts receivable in February = $55,929.20

Accounts receivable in March = $55,958.95

Step-by-step explanation:

65% of sales collected in the month of sales + 25% in the following month + 10% in second month after sales.

In January, total accounts receivable will be the amounts outstanding or unpaid by the end of January. By the end of January, a total of 10% of December sales & 35% of January sales remain outstanding.

Accounts receivable in January = 35% of January sales + 10% of December sales

Accounts receivable in January = (35% * $124298) + (10% * $249283)

Accounts receivable in January = $43504.3 + $24928.3

Accounts receivable in January = $68432.60

In February, total accounts receivable will be the amounts outstanding or unpaid by the end of February. By the end of February, a total of 10% of January sales & 35% of February sales remain outstanding.

Accounts receivable in February = 35% of February sales + 10% of January sales

Accounts receivable in February = (35% * $124284) + (10% * $124298)

Accounts receivable in February = $43,499.4 + $12,429.8

Accounts receivable in February = $55,929.20

In March, total accounts receivable will be the amounts outstanding or unpaid by the end of march. By the end of March, a total of 10% of February sales & 35% of March sales remain outstanding.

Accounts receivable in March = 35% of March sales + 10% of February sales

Accounts receivable in March = (35% * $124373) + (10% * $124284)

Accounts receivable in March = $43530.55 + $12428.4

Accounts receivable in March = $55,958.95

Answer:30%

Step-by-step explanation:

Parallel lines are two straight lines that never cross. For this to happen, the lines have to have the same slope.

In this case, the equation given is in what's called "slope-intersect" form. The general form of the slope intercept formula is y=mx + b where m is the slope of the line and b is the point on the Y-axis where the line crosses.

The equation given is y=5x+3 and since the 5 is in the place of m from the general equation, 5 is the slope. Since parallel lines have the same slope, 5 is the answer.

Slope-Intercept Form:

When we're given a linear equation we can immediately see if it's in the slope-intercept form if it follows the format  y=mx+b. As long as y does not have a coefficient the slope and y-intercept are the values of m and b.

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4x + 10 = 22

4x = 22 - 10

4x = 12 / : 4

x = 3

X= 3

because you bring 10 to the left side and 10 becomes negative. and then you subtract ten from 22 and get 12 then divide 12 by 4 and you get 3.

Answer:

3

Step-by-step explanation:

the answer is 3, because you always have to add the numbers in paranthises first. and 5+3= 8. u bring down the -5 and you have -5 + 8 = 3.

Answer:

3

Step-by-step explanation:

Always do the stuff in the parentheses first

-5 + (5 + 3)

-5 + 8

= 3

The function f(x) = 2(x-4x^2 + 3) represents a parabola. The constants in the function, specifically 2, -4, and 3, define different characteristics of the parabola.

1. The constant 2:

This constant represents the vertical stretch or compression of the parabola. If the constant is greater than 1, the parabola will be stretched vertically. If it is between 0 and 1, the parabola will be compressed vertically.

In this case, the constant 2 indicates that the parabola is stretched vertically by a factor of 2 compared to the standard parabola.

2. The constant -4:

This constant determines the shape of the parabola. A positive constant would make the parabola open upwards, while a negative constant would make it open downwards. In this case, the negative constant -4 indicates that the parabola opens downwards.

3. The constant 3:

This constant determines the vertical shift of the parabola. It indicates how much the parabola is shifted up or down from its standard position. In this case, the constant 3 suggests that the parabola is shifted upwards by 3 units.

By considering these constants, we can understand how they individually affect the parabola's stretch or compression, its orientation (upwards or downwards), and its vertical shift.

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Answer:

A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. ... When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates.

Step-by-step explanation:

We can plot the vector r(t) and the vector N(T) at the given value of t = T.

To find the principal unit normal for the vector-valued function r(t) = sin(t)i + tcos(t)j + tk, we need to compute the derivative of r(t) with respect to t and then normalize it to obtain a unit vector.

First, let's find the derivative of r(t):

r'(t) = cos(t)i + (cos(t) - tsin(t))j + k

Next, we'll normalize the vector r'(t) to obtain the unit vector:

||r'(t)|| = sqrt((cos(t))^2 + (cos(t) - tsin(t))^2 + 1^2)

Now, we can find the principal unit normal vector by dividing r'(t) by its magnitude:

N(t) = r'(t) / ||r'(t)||

Let's evaluate the principal unit normal at t = T:

N(T) = (cos(T)i + (cos(T) - Tsin(T))j + k) / ||r'(T)||

To sketch the situation, we can plot the vector r(t) and the vector N(T) at the given value of t = T.

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Answer:

Step-by-step explanation:

Answer:

28/36 or 7/9

Step-by-step explanation:

there are 36 possible answers

4 of them equal 5 (1+4, 2+3, 3+2, 4+1)

4 of them equal 9 (3+6, 4+5, 5+4, 6+3)

8-36 = 28

Answer:

73.5 feet

Step-by-step explanation:

The length of a tree =42 feet

Mr. Ash estimates that this tree is 75% as tall now as it will be when fully grown.

We need to find the length of the tree when it is fully grown. It means we need to find the 75% of 42 and adding 42 to it as follows :

\(T=75\%\times 42+42\\\\=\dfrac{75}{100}\times 42+42\\\\=73.5\ ft\)

So, the tree will be 73.5 feet tall when it is fully grown.

Answer:

its 36 dollars

Step-by-step explanation:

27 + x = 62

x = 62 - 27

x = 36

The angle through which the hour hand on a clock rotates from 5 A.M. to 10 P.M. is 510 degrees or 17π/6 radians.

We have,

The time between 5 A.M. and 10 P.M. is 17 hours.

In 12 hours,

The hour hand makes a full rotation of 360 degrees, so in 1 hour, the hour hand rotates 30 degrees.

i.e

360 degrees ÷ 12 hours

= 30 degrees per hour

So,

In 17 hours, the hour hand rotates:

= 17 hours × 30 degrees/hour

= 510 degrees

To find the radian measure, we need to convert degrees to radians.

One revolution around a circle is equal to 360 degrees or 2π radians.

So,

510 degrees = 510/360 revolutions = 17/12 revolutions

17/12 revolutions × 2π radians/revolution = 17π/6 radians

Therefore,

The angle through which the hour hand on a clock rotates from 5 A.M. to 10 P.M. is 510 degrees or 17π/6 radians.

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Answer:

a. €1200;$1667.70

Step-by-step explanation:

a. Number of euros

\(\text{euros} = \$1962 \times \dfrac{\text{1 euro}}{\text{\$1.635}} = \textbf{1200 euros}\)

b. Dollars remaining

Dollars on hand                        = $1962.00

Less 15 % spent = 0.15 × 1962 =   -294.30

Balance remaining                   =  $1667.70

We can calculate the number of people suffering malnutrition in the world by using the Rule of three:

If 200 is the total population, then 28 suffer from malnutrition.

Then, if the total population is 6.9 billion people, x suffer from malnutrition:

Answer: The number of people of the world's population that suffer from malnutrition is 0.97 billion.

For `C = 0, d = 1 therefore C + d = 0 +1 = 1

For C = 27, d =  0.2161 therefore C+d = 27 + 0.2161 = 27.2161

We can use the substitution method to find the values of x and y.

We can rearrange the first equation to solve for x in terms of y:

Cx + dy = 12

Cx = 12 - dy

\(x = \frac{ (12 - dy)}{C}\)

This expression for x can then be substituted into the second equation:

2x + 7y = 4

2(\(\frac{(12 - dy)}{C}\)) + 7y = 4

To eliminate the denominator, multiply both sides by C:

2(12 - dy) + 7Cy = 4C

Increasing the size of the brackets:

24 - 2dy + 7Cy = 4C

Rearranging and calculating y:

-2dy + 7Cy = 4C - 24

y(7C - 2d) = 4C - 24

y = \(\frac{(4C - 24)}{(7C - 2d)}\)

We can then plug this y expression back into the first equation to find x:

Cx + dy = 12

C(\(\frac{(4C - 24)}{(7C - 2d)}\)) + d(\(\frac{(4C - 24)}{(7C - 2d)}\)) = 12

Multiplying to eliminate the denominator, multiply both sides by (7C - 2d):

12(7C - 2d) = C(4C - 24) + d(4C - 24).

Increasing the size of the brackets:

84C - 24d = 4C2 - 24C + 4Cd - 24C

Simplifying:

\(4C^2 - 108C = 0\)

Taking 4C into account:

4C(C - 27) = 0

As a result, either C = 0 or C = 27.

If C is equal to zero, the first equation becomes:

dy = 12

The second equation is as follows:

2x + 7y = 4

Adding dy = 12 to the first equation:

d(12) = 12

d = 1

Adding d = 1 to the second equation:

2x + 7(12) = 4

2x = -80

x = -40

As a result, if C = 0, x = -40, and y = 1.

If C = 27, the first equation is as follows:

27x + dy = 12

The second equation is as follows:

2x + 7y = 4

Adding dy = 12 - 27x to the first equation:

27x + d(12 - 27x) = 12

-27dx + 27x = 12 - 27x

d = (12 - 27x)/-27x + 1

In the second equation, substitute d = (12 - 27x)/-27x + 1:

2x + 7((12 - 27x)/-27x + 1) = 4

To eliminate the denominator, multiply both sides by -27x:

-54x + 84 - 7x(-27x + 27x + 1) = -108x

Simplifying:

-54x + 84 + 7x = -108x

-47x = -84

x = 84/47

Adding x = 84/47 to the formula for d:

d = (12 - 27(84/47))/-27(84/47) +1

d = (12 - 1.7872)/ -27(1.7872) +1

d = 10.2128/-47.2544

d = 0.2161

For `C = 0, d = 1 therefore C + d = 0 +1 = 1

For C = 27, d =  0.2161 therefore C+d = 27 + 0.2161 = 27.2161

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Answer:  t = 10m

Step-by-step explanation:

We know the lengths of the two legs, but not the length of the hypotenuse.  To calculate this, we use the Pythagorean Theorem: a^2 + b^2 = c^2.

So (6)^2 + (8)^2 = (t)^2

36 + 64 = t^2

100 = t^2

sqrt (100) = sqrt (t^2)

t = 10

*sqrt = square root

Answer:

10 < 6n -2 ≤ 34

n= {3, 4, 5, 6}

Step-by-step explanation:

number

⇒ n

two less than six times the number

⇒ 6n -2

it is between ten and thirty-four (inclusive)

⇒ 10 < 6n -2 ≤ 34

we can solve it as:

or

Answer:

[2,6]

Step-by-step explanation:

Translate to an inequality. Since two less than six times her number is at least ten and at most thirty-four, we have the following inequality.

10≤6n−2≤34

Solve the compound inequality by isolating the variable in the center.

10≤6n−2≤3412≤6n≤362≤n≤6

Finally, write your answer in interval notation. The inequality includes all values between 2 and 6 including the end values, therefore the final answer is:

[2,6].

The slope of the line which follows is  0.50 and height of the tent 5 feet from the outside pole will be 12.5.

The rise to run ratio is known as the slope. From 10 feet to 25 feet, there is a 15-foot increase. The run is 30 feet from the edge to the center.

slope = rise/run

= 15 /30 = 1/2

= 0.50

25 feet from the center pole is equivalent to 5 feet from the outer pole.

The rise at 25 feet from the central pole is now determined by

rise = m*run

=-12.5

As a result, the height of the pole decreases by 12.5 feet as one moves 25 feet from the central pole to the outside pole.

Consequently, the tent's height at 5 feet from the outside pole would be 25 - 12.5 = 12.5 feet.

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Raina received 7 phone calls on the first evening, 45 phone calls on the second evening, and 15 phone calls on the third evening.

Let's assume the number of phone calls Raina received on the third evening is x.

According to the given information:

The second evening, she received 3 times as many calls as the third evening, so the number of calls on the second evening is 3x.

The first evening, she received 8 fewer calls than the third evening, so the number of calls on the first evening is x - 8.

The total number of phone calls over the three evenings is 67, so we can write the equation:

x + 3x + (x - 8) = 67

Combining like terms:

5x - 8 = 67

Adding 8 to both sides:

5x = 75

Dividing both sides by 5:

x = 15

So, Raina received 15 phone calls on the third evening.

On the second evening, she received 3 times as many calls, which is 3 * 15 = 45 calls.

On the first evening, she received 8 fewer calls than the third evening, which is 15 - 8 = 7 calls.

Therefore, Raina received 7 phone calls on the first evening, 45 phone calls on the second evening, and 15 phone calls on the third evening.

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The root of the equation sinx = 2x-3 is 0.8401 (approx).

Given equation is sinx = 2x-3

We need to solve this equation using false position method.

False position method is also known as the regula falsi method.

It is an iterative method used to solve nonlinear equations.

The method is based on the intermediate value theorem.

False position method is a modified version of the bisection method.

The following steps are followed to solve the given equation using the false position method:

1. We will take the end points of the interval a and b in such a way that f(a) and f(b) have opposite signs.

Here, f(x) = sinx - 2x + 3.

2. Calculate the value of c using the following formula: c = [(a*f(b)) - (b*f(a))] / (f(b) - f(a))

3. Evaluate the function at point c and find the sign of f(c).

4. If f(c) is positive, then the root lies between a and c. So, we replace b with c. If f(c) is negative, then the root lies between c and b. So, we replace a with c.

5. Repeat the steps 2 to 4 until we obtain the required accuracy.

Let's solve the given equation using the false position method.

We will take a = 0 and b = 1 because f(0) = 3 and f(1) = -0.1585 have opposite signs.

So, the root lies between 0 and 1.

The calculation is shown in the attached image below.

Therefore, the root of the equation sinx = 2x-3 is 0.8401 (approx).

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Hey there!

If she bought 3 LBS (pounds) of bananas and they cost 54¢ per lb, then your equation should look like this: 3 × 0.54 = t and you should be able to find the answer from there!

t = result / how much he spent in total

Equation:

t = 3 × 0.54

3 × 0.54 = t

SIMPLIFY IT

t = 1.62

Therefore, Erin spent ≈ $1.62 (1 dollar & 62 cents)

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)