24 is equal to 25% of a number n. Write and solve an equation to find n. Write the percent as a Decimal. PLEASE HELP ME

The remainder when f(x) is divided by x−1 is 15x−1. However, x−1 is not a factor of \(f(x)=4x^4-7x^3+12x-9.\)

The remainder when f(x) is divided by x−1 is 15x−1. However, x−1 is not a factor of \(f(x)=4x^4-7x^3+12x-9.\)

To determine if x−1 is a factor of f(x), we can use the factor theorem. According to the factor theorem, if x−1 is a factor of f(x), then f(1) should be equal to zero. Let's evaluate f(1) and check if it equals zero.

f(1) = \(4(1)^4 -7(1)^3 + 12(1) - 9\)

     = 4 − 7 + 12 − 9

     = 0

Since f(1) equals zero, we can conclude that x−1 is indeed a factor of f(x). This means that (x−1) evenly divides f(x) without leaving any remainder. However, the information provided in the question contradicts this result, stating that the remainder is 15x−1. Therefore, we can determine that x−1 is not a factor of f(x).

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Answer:

The answer should be 3 cubic cm

Step-by-step explanation:

First you have to get the area of the right triangle base 1/2 bh. That would be 2x3/2=3

To find volume, you plug the area in the volume formula

v=1/3 ah

v=1/3 (3)(3)

1/3(9) would be 3 cubic cm

Answer:

the first one

Step-by-step explanation:

absolute value is a number's distance from zero, so distance from zero can not possibly be negative. Therefore, |4x-2|=-6 has no solution.

Answer:

It would be the first one because there is no value of x that makes the equation be true since an absolute value can never be negative.

Step-by-step explanation:

Hope this helps:)....if don't help then sorry for wasting your time and may God bless you:)

Answer:

$33.35

Step-by-step explanation:

If the four friends shared it equally, we need to divide 133.4 by 4, which is 33.35.

Answer: $33.35

Step-by-step explanation:

133.40 / 4 = 33.35

each friend paid $33.35

Answer:

Circle with radius 16 and arc length 4pi= Central angle: 45 degrees

Circle with radius 5 and arc length 5pi= Central angle: 180 degrees

Step-by-step explanation:

Answer:

Circle with radius 16 and 4pi arc length: central angle: 45 degrees

Step-by-step explanation:

I am not too sure about what are the options to select, but I found the angle measures of the 2 circles! For finding the angle measure, I used the formula: Central angle/360=arc length/2•pi•r. The first circle has a radius of 16, and a arc length of 4•pi. X can be used to represent the central angle since it remains unknown. When we plug in those values, we get x/360=4•pi/2•pi•16. Using inverse operations o that we can isolate for x, we can multiply 360 by both sides. x=(4•pi/2•pi•16)•360. I just use parentheses to not mix up the numbers shown. Then, I use desmos scientific calculator for calculating the central angle, which is 45 degrees. There appears to be a second circle as well. With a radius of 5, and arc length of 5pi. The equation to represent this is, x/360=5•pi/2•pi•5. Using the same steps as before, which is multiplying 360 for each side, we get x=(5•pi/2•pi•5)360. Using the desmos scientific calculator, we get the central angle is equal to 180 degrees. I am unsure about the other parts for selecting options. Sorry, this is what I got, and best of wishes for you! I hope it helps

Answer: I believe the answer would be D.7

Step-by-step explanation:

12*7= 84

The Linear function for the line represented by the point-slope equation y - 5 = 3(x - 2) is y = 3x - 1.

The point-slope equation for a line is of the form y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line. Given the point-slope equation y - 5 = 3(x - 2),

we can see that the slope of the line is 3 and it passes through the point (2, 5).

To find the linear function for the line, we need to write the equation in slope-intercept form, which is y = mx + b, where m is the slope of the line and b is the y-intercept (the point at which the line intersects the y-axis).

To get the equation in slope-intercept form, we need to isolate y on one side of the equation.

We can do this by distributing the 3 to the x term:y - 5 = 3(x - 2)  y - 5 = 3x - 6  y = 3x - 6 + 5  y = 3x - 1

Therefore, the linear function for the line represented by the point-slope equation y - 5 = 3(x - 2) is y = 3x - 1.

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If the median of a normal distribution is known, it can be said that the mean of the distribution is also equal to the median. This is because the normal distribution is symmetric, with the median and mean at the center of the curve.

For a normal distribution, the mean and median are equal, so if the median is known, then the mean is also known. In a normal distribution, the median represents the point where exactly half of the data falls below and half falls above that point. Since the mean is also the point where the data balances out, meaning the sum of the values above the mean is equal to the sum of the values below the mean, it is also equal to the median. Therefore, if the median of a normal distribution curve is known, we can conclude that the mean is also equal to that value.

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The measure of angle SPQ is 56°

the trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

Sin(θ) = opp/hyp

cosθ = adj/hyp

tanθ = opp/adj

To calculate the hypotenuse , we have known the adjascent to angle 28°.

Therefore;

cos 28 = 10/x

0.883 = 10/x

x = 10/0.883

x = 11.3

Represent angle SPR by y

cos x = 10/11.3

cos x = 0.883

x = 28°

Therefore the measure of angle SPQ is 28+28 = 56°

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Answer:

85

Percentage Calculator: 357 is what percent of 420? = 85.

Answer:

85%

Step-by-step explanation:

357/420 reduces to 17/20 if you divide the numerator and denominator by 21 which is equivalent to .85

Answer: A negative times a negative is always positive because the two negative signs are canceled out.

Step-by-step explanation:

If you seek a more in-depth explanation, Khan Academy actually has a video available on this topic!

Answer: your so bad

Step-by-step explanation:

hahahaahahahahahhahahahahahahaha

Answer:

A. Yes

B. yes

C. Yes

D. No

E. Yes

Step-by-step explanation:

Good luck!

She will need to purchase 3 boxes of gloves.

He exceeded his goal by 10 devices.

There are 28 phalange bones in each foot.

There will be 2 smoothies left in stock after 4 days from one case.

Frank needs to consume no more than 15 grams of fat for the rest of the day.

Since there are 100 gloves in each box, she will need 222/100 = 2.22 boxes of gloves. Since she cannot purchase a partial box, she will need to purchase 3 boxes of gloves.

The medical sales rep sold devices for a total of 17 x 30 = 510 devices in November. Since his goal was to sell 500 devices, he exceeded his goal by 510 - 500 = 10 devices.

Since there are 56 phalange bones in the body and 14 phalange bones in each hand, there are 56 - (14 x 2) = <<56-(14*2)= 28 phalange bones in each foot.

Frank needs to consume no more than 56 - 41 = 15 grams of fat for the rest of the day.

The rec center sells 12 smoothies per day for 4 days, for a total of 12 x 4 = 48 smoothies. Therefore, there will be 50 - 48 = 2 smoothies left in stock after 4 days from one case.

Since Ashton drank a 24 oz bottle of water, he still needs to drink 64 - 24 = 40 ounces of water for the rest of the day.

Kathy walks a total of 3 x 2.5 =7.5 miles with her friend each week. Therefore, she still needs to walk 10 - 7.5 = 2.5 more miles to meet her goal for the week.

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Answer: Choice D.  (0,-2)

Note how this point is in the blue region, but it is not in the red region. The solution must satisfy all of the shaded regions of the system of inequalities. The red and blue regions overlap to form the darker shaded region on the right side (the somewhat grayish purple triangular region). Points in this darkest shaded region are solutions to the system. The points (5,2), (0,3) and (4,0) are all located in this region so they are solutions.

The mode of a dataset is the value that appears most frequently. In this case, we need to find the interval of rainfall that occurs most frequently.

From the given data, we can see that the interval "less than 0.01 inch" has the highest frequency with 165 days. Therefore, the mode of this dataset is "less than 0.01 inch"

Effective communication is crucial in all aspects of life, including personal relationships, business, education, and social interactions. Good communication skills allow individuals to express their thoughts and feelings clearly, listen actively, and respond appropriately. In personal relationships, effective communication fosters mutual understanding, trust, and respect.

In the business world, it is essential for building strong relationships with clients, customers, and colleagues, and for achieving goals and objectives. Good communication also plays a vital role in education, where it facilitates the transfer of knowledge and information from teachers to students.

Moreover, effective communication skills enable individuals to engage in social interactions and build meaningful connections with others. Therefore, it is essential to develop good communication skills to succeed in all aspects of life.

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Answer:

x = 15

Step-by-step explanation:

The sum of the angles in a triangle is 180º

3x + 5x + 4x = 180

Combine like terms

12x = 180

Divide both sides by 12

x = 15

C = 5x

C = 5 * 15

C = 75º

If at practice, each player shoots 20 free throws, the standard deviation of x is 0.975.

To calculate the standard deviation of x, we need to first determine the variance. The variance is the average of the squared differences of each observation from the mean.

In this case, Faith is a 95% free throw shooter, so she is expected to make 19 out of 20 shots on average. The probability of making a free throw is 0.95, and the probability of missing a free throw is 0.05. Therefore, the mean of x is:

mean(x) = 20 * 0.95 = 19

To calculate the variance, we need to find the expected value of (x - mean(x))^2. Since Faith's free throw shooting is independent, we can use the binomial distribution to find the probability of making x shots out of 20.

The formula for the variance of a binomial distribution is np(1-p), where n is the number of trials and p is the probability of success. Therefore, the variance of x is:

var(x) = 20 * 0.95 * 0.05 = 0.95

Finally, the standard deviation is the square root of the variance:

sd(x) = √(var(x)) = √(0.95) = 0.975

This means that on average, Faith is expected to make 19 out of 20 free throws, but there is a standard deviation of 0.975, which indicates the degree of variability or spread around the mean. In other words, we can expect Faith to make between 18 and 20 free throws in most cases, but there is a small chance that she may make fewer or more than that.

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Answer:

Slope: 3

Step-by-step explanation:

find 2 points on the line and do rise/run which would get 3/1 which is 3

(a) Find the dual of the LP.Primal problem isminimize \($b_1y_1+C_1x_1+...+C_nx_n$\) subject to \($a_{11}x_1+a_{12}x_2+...+a_{1n}x_n \leq\) \(b_1$...$a_{m1}x_1+a_{m2}x_2+...+a_{mn}x_n \leq b_m$ and $x_1, x_2,\)..., x_n\(\geq 0$\)

Let us find the dual of the above primal problem.

Dual problem ismaximize \($b_1y_1+...+b_my_m$\)subject to \($a_{11}y_1+a_{21}y_2+...+a_{m1}y_m \leq\)\(C_1$...$a_{1n}y_1+a_{2n}y_2+...+a_{mn}y_m \leq C_n$\)

and\($y_1, y_2, ..., y_m \geq 0$\)

(b) Find the standard form of the LP and dual.Standard form of the primal problem isminimize \($b_1y_1+C_1x_1+...+C_nx_n$\)subject to \($a_{11}x_1+a_{12}x_2+...+a_{1n}x_n +s_1 = b_1$...$a_{m1}x_1+a_{m2}x_2+...+a_{mn}x_n +s_m = b_m$\) and\($x_1, x_2, ..., x_n, s_1, s_2, ..., s_m \geq 0$\)

Standard form of the dual problem ismaximize \($b_1y_1+...+b_my_m$\)subject to \($a_{11}y_1+a_{21}y_2+...+a_{m1}y_m \leq 0$...$a_{1n}y\)

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Answer:

48^2 =2304 < 2345 < 2401 = 49^2

=> Smallest number should be: 2401 - 2345 = 56

Hope this helps!

:)

Answer:

56

Step-by-step explanation:

sqrt(2345) = 48.425...

Nearest integer is 49

So, the nearest perfect is 49²

49² = 2401

To be added:

2401 - 2345

56

Answer: For Jack's account, we can use the formula for simple interest:

I = P * r * t

where I is the interest earned, P is the principal (initial deposit), r is the interest rate, and t is the time in years.

So for Jack's account, we have:

I = 17250 * 0.06 * 6.5 = $6,682.50

For Collin's account, we can use the formula for compound interest:

A = P * (1 + r/n)^(n*t)

where A is the amount after t years, P is the principal (initial deposit), r is the interest rate, n is the number of times interest is compounded per year, and t is the time in years.

In this case, we know that Collin's account earns annual compound interest, so n = 1.

So for Collin's account, we have:

A = 17250 * (1 + 0.06/1)^(1*6.5) = $25,344.55

The interest earned on Collin's account is the difference between the amount after 6.5 years and the initial deposit:

I = 25344.55 - 17250 = $8,594.55

Therefore, Collin will earn more interest than Jack, and the difference is:

$8,594.55 - $6,682.50 = $1,912.05

So Collin will earn $1,912.05 more interest than Jack after 6 years.

Step-by-step explanation: ai helped me

Answer:

c 31b4

Step-by-step explanation:

If we change x by -0.7, we can expect the value of f(x) to decrease by approximately 2.1 units.

Assuming you meant to say "let f be a differentiable function where f(9) = 4 and f'(9) = 3. If we change x by -0.7 and we change y by 0.3, then we can expect the value of f(x) to change by approximately what amount?"

Using the linear approximation formula, we have:

\(Δf(x) ≈ f'(9) Δx\)

where Δx = -0.7 and we want to find Δf(x) when Δy = 0.3.

We can rearrange the formula to solve for Δf(x):

\(Δf(x) ≈ f'(9) Δx\)

Δf(x) ≈ 3(-0.7)

Δf(x) ≈ -2.1

This means that if we change x by -0.7, we can expect the value of f(x) to decrease by approximately 2.1 units. However, this is only an approximation based on the linear behavior of the function near x = 9, so it may not be exactly accurate for large changes in x.

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the radius of the Circle will be 28/π.

The circumference, which is the distance around the object, the diameter, which is the length of a circle measured from one end to the other and passing through its center, and the radius, which is equal to half of the diameter, are the three key characteristics.

Given, The length of an arc intercepted by a central angle measuring 6π/7 radians is 24 inches.

The general formula for the length of the arc is:

S = r ∅

Where,

S = length of the arc,

r = radius

∅ = angle made by the arc from the center

In our case,

S = 24

∅ = 6pi/7

Thus,

24 = 6π/7 * r

r = 28/π

therefore, the radius of the Circle will be 28/π.

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Answer:

b

Step-by-step explanation:

in order for it to be a function the x values cannot repeat.

in answer b the x value 6 repeats twice therefore it is not a function

Answer:

I think thqat the answer is b

Step-by-step explanation:

2-1. a) The shear stress τ is constant across the flow. b) The velocity is maximum at the center (r = 0) and decreases linearly as the radial distance increases. c)v_max = (P₁ - P₂) / (4μL) * \(R^{2}\) and v_avg = (1 / (π(\(R^{2} -a^{2}\)))) * ∫[a to R] v * 2πr dr 2-2.a) The shear stress is constant for parallel plates. b) The velocity profile shows that the velocity is maximum at the centerline and decreases parabolically .c)v_max = (P₁ - P₂) / (2μh) and v_avg = (1 / (2h)) * ∫[-h to h] v dr.

2-1. Flow in an annular region between concentric cylinders:

(a) Shear stress profile:

In an incompressible fluid flow between concentric cylinders, the shear stress τ varies with radial distance r. The shear stress profile can be obtained using the Navier-Stokes equation:

τ = μ(dv/dr)

where τ is the shear stress, μ is the dynamic viscosity, v is the velocity of the fluid, and r is the radial distance.

Since the flow is at steady state, the velocity profile is independent of time. Therefore, dv/dr = 0, and the shear stress τ is constant across the flow.

(b) Velocity profile:

To determine the velocity profile in the annular region, we can use the Hagen-Poiseuille equation for flow between concentric cylinders:

v = (P₁ - P₂) / (4μL) * (\(R^{2} -r^{2}\))

where v is the velocity of the fluid, P₁ and P₂ are the pressures at the outer and inner cylinders respectively, μ is the dynamic viscosity, L is the length of the cylinders, R is the outer radius, and r is the radial distance.

The velocity profile shows that the velocity is maximum at the center (r = 0) and decreases linearly as the radial distance increases, reaching zero at the outer cylinder (r = R).

(c) Maximum and average velocities:

The maximum velocity occurs at the center (r = 0) and is given by:

v_max = (P₁ - P₂) / (4μL) * \(R^{2}\)

The average velocity can be obtained by integrating the velocity profile and dividing by the cross-sectional area:

v_avg = (1 / (π(\(R^{2} -a^{2}\)))) * ∫[a to R] v * 2πr dr

where a is the inner radius of the annular region.

2-2. The flow between parallel plates:

(a) Shear stress profile:

For flow between very wide or broad parallel plates, the shear stress profile can be obtained using the Navier-Stokes equation as mentioned in problem 2-1. The shear stress τ is constant across the flow.

(b) Velocity profile:

The velocity profile for flow between parallel plates can be obtained using the Hagen-Poiseuille equation, modified for this geometry:

v = (P₁ - P₂) / (2μh) * (1 - (\(r^{2} /h^{2}\)))

where v is the velocity of the fluid, P₁ and P₂ are the pressures at the top and bottom plates respectively, μ is the dynamic viscosity, h is the distance between the plates, and r is the radial distance from the centerline.

The velocity profile shows that the velocity is maximum at the centerline (r = 0) and decreases parabolically as the radial distance increases, reaching zero at the plates (r = ±h).

(c) Maximum and average velocities:

The maximum velocity occurs at the centerline (r = 0) and is given by:

v_max = (P₁ - P₂) / (2μh)

The average velocity can be obtained by integrating the velocity profile and dividing by the distance between the plates:

v_avg = (1 / (2h)) * ∫[-h to h] v dr

These formulas can be used to calculate the shear stress profile, velocity profile, and maximum/average velocities for the given geometries.

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Answer:

1,200,000

Step-by-step explanation:

hope i helped

Answer:

1.200.000

Step-by-step explanation:

\(thankyou\)

The polynomial q(x) = x² - 1 spans the kernel of the linear transformation T: P2 → R³, and T is onto since any vector [a, b, c] in R³ can be represented as [P] for some polynomial P(x) in P2.

To find the polynomial q, we need to find the null space of T.

To prove that T is onto, we need to show that the range of T is equal to the codomain.

Let us start by defining the linear transformation T: P2 → R³ where T(P) = [P], and P is a polynomial of degree at most 2. The vector space P2 consists of all polynomials of the form P(x) = ax² + bx + c, where a, b, and c are constants.

To find a polynomial q in P2 such that Span{q} is the kernel of T, we need to find a non-zero polynomial q(x) such that T(q) = [q] = 0. In other words, we need to find a non-zero polynomial q(x) such that q(x) has a repeated root.

Let q(x) = x² - 1. Then, T(q) = [q] = [x² - 1] = [1, 0, -1]. Since [1, 0, -1] ≠ 0, q(x) is a non-zero polynomial and Span{q} is the kernel of T.

To prove that T is onto, we need to show that for any vector [a, b, c] in R³, there exists a polynomial P(x) in P2 such that T(P) = [P] = [a, b, c].

Let P(x) = ax² + bx + c. Then, T(P) = [P] = [ax² + bx + c] = [a, b, c] if and only if P(x) has coefficients a, b, and c.

To find such a polynomial, we can solve the system of equations:

a + 0b + 0c = a

0a + b + 0c = b

0a + 0b + c = c

which gives us a = a, b = b, and c = c. Therefore, any vector [a, b, c] in R³ can be written as [P] for some polynomial P(x) in P2, and T is onto.

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