If the coefficient of x4 in the expansion of (2-3px) (4x4+ 5x³-x) is 38, find the value of p.​

The unit rate in teaspoons per pound would be 1/2 teaspoons per pound.

What is the unit rate?

A unit rate means a rate for one or something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.

The number of teaspoons:

                                      \(=1\frac{3}{4}\\\\=\frac{4+3}{4}\\\\=\frac{7}{4}\)

Amount of pasta:

                              \(=3\frac{1}{2}\\\\=\frac{6+1}{2}\\\\=\frac{7}{2}\)

Now the unit rate = number of teaspoons/ amount of pasta

                             \(=\frac{7/4}{7/2}\\\\=\frac{1}{2}\\\)

Hence, the unit rate in teaspoons per pound would be 1/2 teaspoons per pound.

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Answer:

Step-by-step explanation:

1/2

The correct answer is (c) x's tens digit. , if x = 693, that  yield  9 is (x / 10) % 10

Here's how we have to evaluate the expression:

Substitute x = 693 into the expression to get:

(693 / 10) % 10

Perform the division first:

693 / 10 = 69 with a remainder of 3.

Substitute the result of the division into the expression:

(69 % 10)

To Evaluate the remainder use the modulo operator (%):

69 % 10 = 9

The result, 9, is the tens digit of 693.

=(x / 10) % 10.

The tens digit of a number refers to the digit in the second place from the right, or the digit that represents the multiple of 10. For example, in the number 365, the tens digit is 6 because it represents 6 tens or 60.

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The area of the rectangle is  w² + 3w square inches

The perimeter of the rectangle is 4w + 6 inches

The formula that is used for calculating the area of a rectangle is expressed with the equation;

A = lw

Given that the variables are;

From the information given, we have that;

l = 3 + w

Substitute the values

Area = w(3+w)

expand the bracket

Area = w² + 3w square inches

The perimeter is given as;

Perimeter = 2(l + w)

Perimeter = 2(3 + w + w)

Perimeter = 4w + 6 inches

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Answer:

your nomorator equals your question

Step-by-step explanation:

To sketch the curve represented by the parametric equations\(x = 5t, y = t^3\), we can follow these steps:

1. Start by choosing a few values of t, such as -2, -1, 0, 1, and 2. These values will help us determine points on the curve.

2. Substitute each value of t into the parametric equations to find the corresponding x and y coordinates. For example, when t = -2, x = 5(-2) = -10 and\(y = (-2)^3 = -8.\)
3. Plot each point on a coordinate plane, using the x-coordinate as the horizontal axis and the y-coordinate as the vertical axis.

4. Connect the plotted points with a smooth curve, keeping in mind the direction of the curve as t increases. Since the x-coordinate is increasing linearly with t, the curve will be a straight line. However, the y-coordinate increases as t^3, so the curve will bend upwards as t increases.
5. To indicate the direction of the curve as t increases, draw arrows along the curve pointing in the positive t direction (to the right on the coordinate plane).Remember to label the axes and provide a title for the graph. This will help in understanding the curve and its orientation.

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The graph of the given parametric equations represents a curve that resembles a cubic function, moving from left to right. The curve starts at (-10, -8), passes through (0, 0), and ends at (10, 8).

The given parametric equations are x = 5t and \(y = t^3\). To sketch the curve represented by these equations, we can substitute different values of t and plot the corresponding points (x, y) on a graph.

Let's choose some values for t and find the corresponding (x, y) pairs:

- When t = 0, x = 5(0) = 0 and y = \((0)^3\) = 0. So the point (0, 0) is on the curve.
- When t = 1, x = 5(1) = 5 and y = \((1)^3\) = 1. So the point (5, 1) is on the curve.
- When t = -1, x = 5(-1) = -5 and y = \((-1)^3\) = -1. So the point (-5, -1) is on the curve.

- When t =2, x = 5(2) = 10 and y = \((2)^3\) = 8. So, the point (10, 8) is on the curve.

-When t =2, x = 5(-2) = -10 and y = \((-2)^3\) = -8. So, the point (-10, -8) is on the curve.

Plotting these points and connecting them with a smooth curve, we get a graph that resembles a cubic function. The direction of the curve as t increases is from left to right. The curve starts at the point (-5, -1), moves upward and to the right, passing through the point (0, 0), and ends at the point (5, 1).

In conclusion, the graph of the given parametric equations represents a curve that resembles a cubic function, moving from left to right. The curve starts at (--10, -8), passes through (0, 0), and ends at (10, 8).

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Answer:

Ashley can travel 10 miles with $10.

Step-by-step explanation:

This problem can be modeled with a linear equation:

\(y=mx+b\\y=0.75x+3.25\)

where y is the total cost and x is the number of miles.

Given a y of 10, you can plug that in and solve for x:

\(10=0.75x+3.25\\0.75x=6.75\\x=9\)

Ashley can travel 9 miles with $10. You can check that either by solving the equation in the other direction, or doing it logically like this:

If she can travel 9 miles at $0.75 per mile, that's $6.75.

\(9*0.75=6.75\)

$6.75 + the flat rate of $3.25 is $10, so it works.

Answer: 4x+5 \(\neq\) 4x-5

Step-by-step explanation: It's really hard to tell what the question is.

Answer:

4.32 francs

Step-by-step explanation:

45p × £/(100p) × 9.6 francs / £ = 4.32 francs

Tanya yearly salary is

$35000 + 8% of her sales

Let her sales be x

Since, her sales is x

35000 + 0.08x > salary

To determine her necessary sales to earn over $50, 000

Let $50, 000 be her benchmark salary

35,000 + 0.08 * x > 50000

35000 + 0.08x > 50000

0.08x > 50000 - 350000

0.08x > 15000

Divide both sides by 0.08

0.08x/0.08 > 15000/0.08

x > 15000 / 0.08

x > 187,500

Therefore, she will need a sales of 188,000 and above to earn above $50,000

Answer:

help me

Step-by-step explanation:

Answer: Add 3 and the Subtract 4. Next numbers are 40, 36, 39

Step-by-step explanation: Hope this helps :)

that it is important for likert-type scale response choices to be balanced at the ends of the response continuum. This means that there should be an equal number of positive and negative response options to avoid any bias or skew in the results.

An explanation for this is that if there are too many positive or negative response options, respondents may feel pressured to choose a certain option even if it doesn't accurately reflect their true opinion. This can result in inaccurate data and can skew the results of the survey or study.

balancing the response choices on a likert-type scale is crucial for obtaining accurate and unbiased data. By having an equal number of positive and negative options, respondents are more likely to provide honest and accurate responses.

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Given the length of equators for 4 planets

What are possible estimates for the lengths of the equators of Jupiter and Earth?

As shown:

The length of the equator of the earth = 40,030 km

The length of the equator of Jupiter = 439,264 km

We will divide the length of the equator of Jupiter by Earth:

By rounding to the nearest whole number

So, the answer will be:

So, the Jupiter equator is 11 times the equator of Earth

To construct the exponential function that contains the points (0,-2) and (3,-128), we can use the general form of an exponential function:

y = a * b^x

where y is the function value, x is the input value, b is the base of the exponential function, and a is a constant representing the y-intercept. To find the specific exponential function that contains the two given points, we need to solve for a and b using the given coordinates.

First, we can use the point (0,-2) to find the value of a:

-2 = a * b^0
-2 = a * 1
a = -2

Next, we can use the point (3,-128) to find the value of b:

-128 = -2 * b^3
64 = b^3
b = 4

Now that we know the values of a and b, we can write the exponential function:

y = -2 * 4^x

Therefore, the exponential function that contains the points (0,-2) and (3,-128) is y = -2 * 4^x.

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The percent chance that a person who uses both wrenches moderately often will break both during normal use is 0.1%. This is calculated by multiplying the probabilities of breaking each wrench, which are 5% and 2%, respectively.

To find the percent chance that a person who uses both wrenches moderately often will break both during normal use, we need to use the multiplication rule of probability.

The probability of breaking both wrenches is the product of the probabilities of breaking each wrench.

Let A be the event that the first wrench breaks, and B be the event that the second wrench breaks.

The probability of A is 0.05, and the probability of B is 0.02.

Therefore, the probability of breaking both wrenches is

P(A and B) = P(A) * P(B)

P(A and B) = 0.05 * 0.02

P(A and B) = 0.001

To express this probability as a percentage, we multiply by 100

P(A and B) = 0.001 * 100

P(A and B) = 0.1%

Therefore, there is a 0.1% chance that a person who uses both wrenches moderately often will break both during normal use.

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The percent of the purchase price would be 20% of the sale price.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

First we need to calculate the difference between the purchase and sale price.

$72.00 - $60.00 = $12.00

Since $12 is the increase in dollars.

To increase as a percentage we need to divide the increase by the original purchase price.

12.00 ÷ 60.00 = 0.2

This simply means moving the decimal place two columns to the right;

0.2 x 100 = 20

Therefore, the percent of the purchase price would be 20% of the sale price.

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Answer:

10. 85°

11. 70°

12. 50°

Step-by-step explanation:

Please see attached picture for full solution.

The volume of the box is 1000 cubic inches. False, the government does not ensure that you always get paid in international transportation; payment is determined by contracts and agreements between parties.

3: To find the volume of the box in cubic inches, we need to convert the dimensions from centimeters to inches. Given that 1 inch is approximately equal to 2.5 cm, we can calculate the volume as follows:

Length in inches = 25 cm / 2.5 cm/inch = 10 inches

Width in inches = 25 cm / 2.5 cm/inch = 10 inches

Height in inches = 25 cm / 2.5 cm/inch = 10 inches

Volume = Length × Width × Height = 10 inches × 10 inches × 10 inches = 1000 cubic inches

Therefore, the volume of the box is 1000 cubic inches.

5: The statement "International transportation is regulated by the government which ensures that you always get paid" is false. International agencies (such the International Maritime Organization and the International Civil Aviation Organization) as well as standards set by the private sector all have a role in regulating international transportation.

The government plays a role in regulating certain aspects of international transportation, but it does not ensure that you always get paid. Payment and financial matters are typically governed by contracts and business agreements between parties involved in international transportation.

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Complete question :

Question 3 (1 point) Listen What is the volume in cubic inches of a box that is 25 cm by 25 cm by 25 cm (given 1 inch = 2.5 cm approx.) AY Question 5 (1 point) Listen International transportation is regulated by the government which ensures that you always get paid True False

The intervals are nested, each subsequent interval is contained within the previous one. Mathematically, this means I₁ ⊇ I₂ ⊇ ... In ⊇ ... . Therefore, we have:

1. I₁ ⊇ I₂ implies [a₁; b₁] ⊇ [a₂; b₂], which means a₁ ≤ a₂ and b₁ ≥ b₂.
2. I₂ ⊇ I₃ implies [a₂; b₂] ⊇ [a₃; b₃], which means a₂ ≤ a₃ and b₂ ≥ b₃.

To show that a1 ≤ a2 ≤ ... ≤ an ≤ ..., we need to use the fact that the sequence of intervals is nested, meaning that each interval is contained within the next one.

First, we know that I1 contains I2, so every point in I2 is also in I1. That means that a1 ≤ a2 and b1 ≥ b2.

Now consider I2 and I3. Again, every point in I3 is also in I2, so a2 ≤ a3 and b2 ≥ b3.

We can continue this process for all the intervals in the sequence, until we reach In. So we have:

a1 ≤ a2 ≤ ... ≤ an-1 ≤ an

and

b1 ≥ b2 ≥ ... ≥ bn-1 ≥ bn

This shows that the endpoints of the intervals are ordered in the same way.

Given that I₁ ⊇ I₂ ⊇ ... In ⊇ ... is a nested sequence of intervals and In = [an; bn], we can show that a₁ ≤ a₂ ≤ ... ≤ an ≤ ... and b₁ ≥ b₂ ≥ ... ≥ bn ≥ ... as follows:

Since the intervals are nested, each subsequent interval is contained within the previous one. Mathematically, this means I₁ ⊇ I₂ ⊇ ... In ⊇ ... . Therefore, we have:

1. I₁ ⊇ I₂ implies [a₁; b₁] ⊇ [a₂; b₂], which means a₁ ≤ a₂ and b₁ ≥ b₂.
2. I₂ ⊇ I₃ implies [a₂; b₂] ⊇ [a₃; b₃], which means a₂ ≤ a₃ and b₂ ≥ b₃.

Continuing this pattern for all intervals in the sequence, we can conclude that a₁ ≤ a₂ ≤ ... ≤ an ≤ ... and b₁ ≥ b₂ ≥ ... ≥ bn ≥ ... .

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Answer:

(a)4

(b)7

Explanation:

Given f(x) and g(x) defined below:

(a) f(g(3))

The value of f(g(3)) is 4.

(b) (g o f)(9)

The value of (g o f)(9) is 7.

Answer:

16 inches

Step-by-step explanation:

Using the Pythagorean theorem, the distance is \(\sqrt{65^2-63^2}=16\).

Step-by-step explanation:

L=2B

P=2(L+B)

48=2(2B+B)

48=2(3B)

48=6B

B=8yd

L=2*8

=16yd

Answer:

length * width = 16 yd * 8 yd

or

length = 16 yd

width = 8 yd

Step-by-step explanation:

take the rectangular pool to have sides a (length) and 2a (width).

we are told that the length is as twice as its width, therefore,

Perimeter is given by (a + 2a) × 2 = 48 yd

Divide both sides by 2 ⇒ \(\frac{((a + 2a) * 2)}{2} = \frac{48 yd}{2}\) ⇒ a + 2a = 24 yd

⇒3a = 24 yd

Divide both sides by 3 ⇒ \(\frac{3a}{3} = \frac{24 yd}{3}\) ⇒ a = 8 yd

therefore, the width of the pool is 8 yd and its length is 16 yd (Twice as long as it is wide)

Answer:

a

Step-by-step explanation:

Answer: C  72=9÷1/8

I hope this helps:

Answer:

45.45 batteries

Step-by-step explanation:

The probability of any random battery being defective is 1 in 11, the number of expected defects in a population of 500 batteries is given by:

\(E= \frac{1}{11}*500\\E=45.45\ batteries\)

45.45 batteries are expected to be defective.

Answer:

45

Step-by-step explanation:

The expressions for the given complex number z = 2e^(iθ) are evaluated as follows: (a) The real part of z, re{z}, is 2cos(θ). (b) The imaginary part of z, im{z}, is 2sin(θ). (c) Multiplying z by the imaginary unit i, iz, gives -2sin(θ) + 2i*cos(θ). (d) The magnitude or modulus of z, |z|, is 2.

To evaluate the given expressions for the complex number z = 2e^(iθ):

(a) re{z} refers to the real part of z, so re{z} = Re(z) = Re(2e^(iθ)) = 2cos(θ).

(b) im{z} refers to the imaginary part of z, so im{z} = Im(z) = Im(2e^(iθ)) = 2sin(θ).

(c) iz refers to the multiplication of z by the imaginary unit i, so iz = i * (2e^(iθ)) = 2i * e^(iθ) = 2i * (cos(θ) + isin(θ)) = -2sin(θ) + 2icos(θ).

(d) |z| refers to the magnitude or modulus of z, so |z| = |2e^(iθ)| = 2|e^(iθ)| = 2.

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The point (0, 0) is not lie on the graph of this step function.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The fee for charging an electric car at station A is $2 to start and $4 for each hour or fraction of an hour.

Now,

Since, The fee for charging an electric car at station A is $2 to start and $4 for each hour or fraction of an hour.

Hence, We can formulate the function as;

⇒ y = 4x + 2

Substitute (x, y) = (0, 0), we get;

⇒ y = 4x + 2

⇒ 0 = 4 × 0 + 2

⇒ 0 ≠ 2

Thus, The point (0, 0) is not lie on the graph of this step function.

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The answer is FALSE. The alternative hypothesis is a statement that there is a difference or an effect in the population being studied, and it contradicts the null hypothesis, which is a statement that there is no difference or no effect in the population being studied.

The alternative hypothesis is a statement that contradicts the null hypothesis and is generally the hypothesis that the researcher wants to support. It is a statement that there is a difference or an effect in the population being studied.

In hypothesis testing, the null hypothesis is a statement that there is no difference or no effect in the population being studied. The null hypothesis is typically the default hypothesis, which is assumed to be true unless evidence suggests otherwise. The alternative hypothesis, on the other hand, is a statement that there is a difference or an effect in the population being studied, and it is typically the hypothesis that the researcher wants to support.

For example, if a researcher wants to test the effectiveness of a new drug, the null hypothesis might be that the drug has no effect on the condition being treated, while the alternative hypothesis might be that the drug has a positive effect on the condition being treated.

In summary, the alternative hypothesis is a statement that there is a difference or an effect in the population being studied, and it contradicts the null hypothesis, which is a statement that there is no difference or no effect in the population being studied.

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Answer:

No

Step-by-step explanation:

don' really have time to explain but i'll try later hope this helps

Answer:

Let x be the unknown number:

5 ( x + 8 ) = 3