HelpWhat are the quartiles for the following set of numbers?8, 11, 20, 10, 2, 17, 15, 5, 16, 15, 25, 6A Q1 = 15, Q2 = 16, Q3 = 15.5B Q1 = 6, Q2 = 13, Q3 = 17C Q1 = 7, Q2 = 13, Q3 = 16.5D Q1 = 8, Q2 = 13, Q3 = 16Don't guess the answer

The zeros of the function defined by

h(x) = x³ – 4x² – 5x are x = 0, x = 5 and x = -1

The zeros of a function, also referred to as roots or x-intercepts, occur at x-values where the value of the function is 0. It is simply the values of x when f(x) is equal to 0.

For x = 0, we substitute 0 for x in the function h(x);

h(0) = (0)³ - 4(0)² - 5(0)

h(0) = 0

For x = 1, we substitute 1 for x in the function h(x);

h(1) = (1)³ - 4(1)² - 5(1)

h(1) = 1 - 4 - 5

h(1) = -8

For x = -5, we substitute -5 for x in the function h(x);

h(-5) = (-5)³ - 4(-5)² - 5(-5)

h(-5) = -125 - 100 +25

h(-5) = -200

For x = 5, we substitute 5 for x in the function h(x);

h(5) = (5)³ - 4(5)² - 5(5)

h(5) = 125 - 100 - 25

h(5) = 0

For x = -1, we substitute -1 for x in the function h(x);

h(-1) = (-1)³ - 4(-1)² - 5(-1)

h(-1) = -1 - 4 + 5

h(-1) = 0

Therefore, the values of x that makes the function h(x) = x³ – 4x² – 5x equal to zero are; 0, 5, and -1, they are the zeros of the function h(x).

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Answer: \((f \cdot g)(x) = x^4-11x^2+30.\)

Step-by-step explanation:

We want to find the value of \(f(g(x)).\) To do this, we plug in \(g(x)\) into the expression for \(f(x).\) This gives us:

\(f(g(x)) = (x^2-9)^2+7(x^2-9)+12 = x^4-18x^2+81+7x^2-63+12 = \boxed{x^4-11x^2+30}.\)

Answer:

B) 4,700

Step-by-step explanation:

6000 - 4000 = 2000

2000 in 15 year, find how much for each year

2000/ 15 = 133.3333333

133.3333333 estimated = 133

133 approximately for each year

1975 to 1980 is five years

133 x 5 = 665

4000 + 665 = 4665

4665 rounded the the nearest hundred

4700

Answer:

=3t3−2t2+174t+136

Step-by-step explanation:

Let's simplify step-by-step.

18(8+9t)−(t2+4)(2−3t)

Distribute:

=(18)(8)+(18)(9t)+3t3+−2t2+12t+−8

=144+162t+3t3+−2t2+12t+−8

Combine Like Terms:

=144+162t+3t3+−2t2+12t+−8

=(3t3)+(−2t2)+(162t+12t)+(144+−8)

=3t3+−2t2+174t+136

Answer:  a, b, c, & d

Step-by-step explanation:

    18(8 + 9t) - (t² + 4)(2 - 3t)

= 144 + 162t - (2t² - 3t³ + 8 - 12t)

= 144 + 162t - 2t² + 3t³ - 8 + 12t

= 3t³ - 2t² + 174t + 136

a) The simplified expression is a polynomial.   TRUE (there are many terms)

b) The simplified expression has a constant term. TRUE (136 is the constant)

c) The simplified expression is cubic. TRUE (the degree is 3)

d) The simplified expression has four terms. TRUE

e) The simplified expression is a trinomial.  FALSE (there are 4 terms, not 3)

Answer:

180 inches

Step-by-step explanation:

Convert 5 yards to feet. According to the information given, 1 yard = 3 feet. So now we have to multiply 5 yards by 3 feet which gives you 15 feet. Secondly, convert 15 feet to inches. It stated that 1 foot = 12 inches, so we have to do 15 feet multiplied by 12 inches to give you, 180 inches. So therefore, the length of the fabric is 180 inches.

Answer:

C) The figures are congruent.

Step-by-step explanation:

Given

Translation and rotation on a figure

Required

Select the true option

Rotation and translation are rigid transformation and as such they do not change the size of the figure being transformed.

The implies that, the figure being transformed and the resulting figure will have the same dimension and the same angle measure.

(c) is correct

Answer:

c

Step-by-step explanation:

Answer: 1 foot

Step-by-step explanation:

because 1 foot is equivalent to 12 inches

Answer:

Its d 17

Step-by-step explanation:

first you add 4 to the negative 4 to get positive then you add 13 and when you add that 4 and 13 together you get 17

We know that the ratio of wooden bats to metal bats is 2:1. We also know that there are 20 wooden bats.

We need to know how many metal bats there are.

Since 20 of the bats are wooden, that covers the 2. Using common knowledge, we know that this ratio is in the tenths. If the 2 is equal to 20 then the 1 is equal to 10.

There are 10 metal bats.

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https://brainly.com/question/21088892

10 bro- bc 20 divided by 2 is 10 .,. easy math y-y

Answer:

See below

Step-by-step explanation:

Starting with 42, there would be two branches of 2 and 21 connected to 42. Since 2 is prime, there are no more branches. Since 21 is composite, then two more branches are drawn of 3 and 7 connected to 21. Since 3 and 7 are prime, there are no more branches.

Therefore, the prime factorization of 42 is 2*3*7, and its factors would be 1,2,3,6,7,14,21,42.

Solving the given logarithmic equation, it is found that the horn is 100 times more intense compared to the weakest sound heard to the human ear.

The equation is given by:

\(d = 10\log{\frac{p}{p_0}}\)

In which:

In this problem, we have that d = 20, and we have to solve the logarithmic equation for p to find how many times more intense the sound is:

\(d = 10\log{\frac{p}{p_0}}\)

\(20 = 10\log{\frac{p}{p_0}}\)

\(\log{\frac{p}{p_0}} = 2\)

The logarithm is inverse of the function \(10^x\), hence we apply the function to both sides to find the ratio.

\(\frac{p}{p_0} = 10^2\)

\(\frac{p}{p_0} = 100\)

Hence, the horn is 100 times more intense compared to the weakest sound heard to the human ear.

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9514 1404 393

Answer:

  a) R = 40x -0.1x²

  b) loss: x < 90 or x > 260; profit: 90 < x < 260; break-even: x = 90 or 260

  c) P(x) = -0.1x² +35x -2340

  d) P'(75) = 20, decrease in loss by selling one more item

Step-by-step explanation:

a) Revenue is the product of number sold (x) and the price at which they are sold (p(x)).

  R(x) = x·p(x) = x(40 -0.1x)

  R(x) = -0.1x² +40x

__

b) The break-even points are the values of x where revenue is equal to cost.

  R(x) = C(x)

  -0.1x² +40x = 5x +2340

  0.1x² -35x +2340 = 0 . . . . . . subtract the left-side expression

  x² -350x +23400 = 0 . . . . . . multiply by 10

  (x -90)(x -260) = 0 . . . . . . . . . factor

  x = 90, x = 260 . . . . . . . . . values of x to break even

The company will break even with sales of 90 or 260 units.

The company will profit with sales between 90 and 260 units; it will have a loss for sales less than 90 or greater than 260 units.

__

c) Profit is the difference between revenue and cost.

  P(x) = R(x) -C(x)

  P(x) = -0.1x² +35x -2340 . . . . . . . the opposite of C -R in part (b)

__

d) Marginal profit is the derivative of the profit function.

  P'(x) = -0.2x +35

Then for 75 units, the marginal profit is ...

  P'(75) = -0.2×75 +35 = -15 +35 = 20

The marginal profit at x=75 is 20. The increase in profit from sale of 1 more unit is $20 when the number of units sold is 75.

Using the normal distribution, it is found that:

a) The cutoff time for the fastest 5% of athletes in the men's group is of 3448.58.

b) The cutoff time for the slowest 10% of athletes in the women's group is of 6298.72.

In a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

Item a:

For men, we have that \(\mu = 4378, \sigma = 565\).

The cutoff for the fastest 5% of the athletes is the 5th percentile, which is X when Z has a p-value of 0.05, that is, X when Z = -1.645.

\(Z = \frac{X - \mu}{\sigma}\)

\(-1.645 = \frac{X - 4378}{565}\)

\(X - 4378 = -1.645(565)\)

\(X = 3448.58\)

The cutoff time for the fastest 5% of athletes in the men's group is of 3448.58.

Item b:

For women, we have that \(\mu = 5212, \sigma = 849\).

The cutoff is the 90th percentile, which is X when Z = 1.28, hence:

\(Z = \frac{X - \mu}{\sigma}\)

\(1.28 = \frac{X - 5212}{849}\)

\(X - 5212 = 1.28(849)\)

\(X = 6298.72\)

The cutoff time for the slowest 10% of athletes in the women's group is of 6298.72.

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Answer:

seriously,I think the answer is 10 hundred thousand

Step-by-step explanation:

10*100000=1000000

No, the trapezoids are not similar because their corresponding angles do not have the same measures.

The given trapezoids ABCD and EFGH can be analyzed to determine if they are similar. Similarity in geometric figures implies that their corresponding angles are congruent, and their corresponding sides are proportional.

Let's examine the angles of the trapezoids:

In trapezoid ABCD:

Angle A = 137 degrees

Angle B = 90 degrees

Angle C = 90 degrees

Angle D = 43 degrees

In trapezoid EFGH:

Angle E = 136 degrees

Angle F = 90 degrees

Angle G = 90 degrees

Angle H = 44 degrees

By comparing the angles, we can observe that angles B and F are both right angles (90 degrees) in both trapezoids. Additionally, angles C and G are also right angles (90 degrees) in both trapezoids.

However, angles A and E, as well as angles D and H, do not have the same measures. Angle A measures 137 degrees in trapezoid ABCD, while angle E measures 136 degrees in trapezoid EFGH. Similarly, angle D measures 43 degrees in trapezoid ABCD, while angle H measures 44 degrees in trapezoid EFGH.

Since the corresponding angles in the two trapezoids do not have the same measures, we can conclude that trapezoids ABCD and EFGH are not similar.

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Answer:

c.p<-1

Step-by-step explanation:

im good at math

A borrower consistently making late payments, keeping a high balance on credit cards, and applying for many different credit cards can have a negative impact on their credit score. Therefore, the correct answer is A) I, III, IV.

On the other hand, having a long credit history with a specific card (II) can have a positive impact on the credit score, while it is important to keep in mind that this is just one factor among many that can affect a credit score.

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\(\begin{align}\colorbox{black}{\textcolor{hotpink}{\underline{\underline{\sf{Please\: mark\: as\: brillinest !}}}}}\end{align}\)

\(\textcolor{blue}{\small\texttt{If you have any further questions,}}\) \(\textcolor{blue}{\small{\texttt{feel free to ask!}}}\)

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Answer:

Its 9!

Step-by-step explanation:

6×3=18

18/2=9

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Answer:

the answer is D, because 30/2 is 15.

Answer:

15

Step-by-step explanation:

Angle CDA = 1/2 ×angle ABC

because the angle at the center of the circle is twice of the angle at the circumference.

so angleCDA = 1/2 ×30 = 15 degrees

Answer:

3x+y=2

Step-by-step explanation:

Just remember that standard form is expressed as Ax+By=C. I also attached a picture to prove that 3x+y=2 is the standard form equation that makes up the line.

Hope this helps and answers your question :)

Answer:

-3x+16

Step-by-step explanation:

(6x+7)-(9x-9)

Collect like terms

6x-9x = -3x

7+9= 16

answer is -3x+16

Answer:

15x + 16

Explanation:

Basically whatever you are solving for in this question, the answer will be the exact same

Answer:

$\($400\)

Step-by-step explanation:

Total Cost = Fixed + Variable Cost

Variable Cost = $10 × 80 = $800

$1200 = Fixed Cost + $800

Fixed Cost = $1200 - $800

Fixed Cost = $400

Answer:

0.0

Step-by-step explanation:

To find 0.007 divided by 0.498, we can perform the following calculation:

0.007 / 0.498 ≈ 0.0141

Rounding this to the nearest tenth gives:

0.0141 ≈ 0.0

Therefore, the result, rounded to the nearest tenth, is 0.0.

EXPLANATION :

2. Since SU is parallel to RV, angle TSU and angle R are congruent by corresponding angles theorem.

4. angle TSV is composed of angles TSU and USV

or the sum of angle TSU and USV is equal to angle TSV by the Additive property of angle measure.

6. angles RSV and TSV have a sum of 180 degrees by angles forming a linear pair sum to 180 degrees.

Answer:

nearest hundredth has come to close it so it will