Factor f(x) = 2x^3 + 3x^2 - 32x+ 15 into linear factors given that - 5 is a zero of f(x)

√36 indicates the principal (or positive) square root so √36=6 .

The square root of √36 is 6.

Hope this helps ! <3

Answer:

It will take Jaime 36 days to run 96 miles.

Step-by-step explanation:

The formula for rate is:

\(\boxed{\sf Rate=\dfrac{Distance}{Time}}\)

Therefore, Jaime's run rate is:

\(\implies \sf Rate=\dfrac{8\;miles}{3\;days}=\dfrac{8}{3} \;miles\;per\;day\)

Rearrange the rate formula to isolate time:

\(\implies \sf Time=\dfrac{Distance}{Rate}\)

To find how long it will take for Jaime to run 96 miles, substitute the distance and rate into the formula and solve for time:

\(\implies \sf Time=\dfrac{96\;miles}{\frac{8 \;miles}{3\;days}}\)

\(\implies \sf Time=96\;miles \times \dfrac{3\;days}{8\;miles}\)

\(\implies \sf Time= \dfrac{288}{8}\;days\)

\(\implies \sf Time= 36\;days\)

Therefore, it will take Jaime 36 days to run 96 miles.

The given Mayan number which is : :|| :|| in decimal (base 10) is 42.

The Mayan number system is a base-20 system that uses three symbols: a dot (.), a horizontal bar (|), and a shell-like symbol (:). The symbol for zero is a shell-like symbol (:).

To convert the given Mayan number to decimal (base 10), we need to understand the positional value of each symbol. Each position in the number represents a power of 20, with the rightmost position being 20⁰, the next position to the left being 20¹, and so on.

The Mayan number given, : :|| :||, can be broken down as follows:

The leftmost position has no symbol, which represents a value of 0.

The second position from the left has two shell-like symbols (:), which represents a value of 2x20¹ = 40.

The third position from the left has two horizontal bars (||), which represents a value of 2x20⁰ = 2.

The given Mayan number in decimal (base 10) is 40 + 2 = 42.

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Complete question is:

Convert the following Mayan number to decimal (base 10).

: :|| :||

Answer:

A, in quadrant II, or 2

Step-by-step explanation:

Answer:

In the graph, point A is at (-2, 4). Point A is in quadrant II of the coordinate plane.

Step-by-step explanation:

I got this off Edmentum so it's 100% percent right lol

Answer:

Step-by-step explanation:

From the given information:

Assume X represents the no. interviewed until 1 has advanced training.

X obeys a Geometric distribution with parameter 0.3.

X  \(\sim\) Geom (0.30)

For geometric distribution, the probability density is:

\(P(X =x) = p(1-p) ^{x-1} \ \ \ where; x =1,2,3...\)

TO calculate the required probability;

\(P(X =5) =0.30 (1-0.30)^{5-1}\)

\(P(X =5) =0.30 (0.70)^{4}\)

\(P(X=5) = 0.30 \times 0.2401\)

\(\mathbf{P(X=5) = 0.07203}\)

(b)

The expected no. of applicants that need to be interviewed are:

\(E(X)=\dfrac{1}{p}\)

\(E(X)=\dfrac{1}{0.30}\)

E(X) = 3.33

(c)

The mean and the variance can be computed as:

\(E(Y) = \dfrac{1}{p}\)

\(E(Y) = \dfrac{1}{0.30}\)

E(Y) = 3.33

\(V(Y)=\dfrac{1-p}{p^2}\)

\(V(Y)=\dfrac{1-0.3}{0.3^2}\)

\(V(Y)=\dfrac{0.7}{0.3^2}\)

\(V(Y)=7.778\)

Suppose  C represents the no. of the total cost and given that each interview costs $30.

Then C = 30Y

Recall that; C is constant for a random variable X

∴

E(C) = E(30Y)

E(C) = 30E(Y)

E(C) = 30*3.33

E(C) =99.9

E(C) \(\simeq\) 100

V(C) = V(30Y)

V(C) = 900 V(Y)

V(C) = 900*7.778

V(C) = 7000.2

V(C) \(\simeq\) 7000

i Got u Bro! Answer:X=8x/15+77/15

:D

Answer:

answer above helped me

Step-by-step explanation:

Answer:

the answer would be option A (0)

Step-by-step explanation:

i just took the assignment :)

Answer:

n = -4

Step-by-step explanation:

2 - 1/2 n = 3n + 16

Combine the constants by subtracting 2 from both sides.

-1/2n = 3n + 14

Combine the variable by subtracting 3n from both sides.

-7/2n = 14

Multiply both sides by 2 to simplify the fraction.

-7n = 28

Isolate n by dividing by -7 on both sides.

n = -4

Check.

2 - 1/2(-4) = 3(-4) + 16

2 + 2 = -12 + 16

4 = 4

Your answer is correct.

Answer:

2-16=3n+1/2n

-14=(6n+n)/2

-28=7n

n=-4

The major characteristic of the data that affects the selection of appropriate statistics is the level of measurement.

What is statistics?

Statistics is the branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It involves the use of mathematical methods to gather, summarize, and interpret data, which can be used to make decisions or draw conclusions about a population based on a sample of that population.

The level of measurement determines the type of statistical analysis that can be used to analyze the data. Different types of statistical methods are used depending on the level of measurement of the data.

For example, if the data is nominal (categorical data with no inherent order), then we might use frequency distributions or chi-square tests to analyze it. If the data is interval or ratio (continuous data with an inherent order and equal intervals between values), then we might use measures of central tendency and dispersion, correlation, or regression analysis to analyze it.

Therefore, the major characteristic of the data that affects the selection of appropriate statistics is the level of measurement.

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Answer:

S₂₇ = 1188

Step-by-step explanation:

using the given formula for \(S_{n}\) , that is

\(S_{n}\) = \(\frac{n}{2}\) (a₁ + \(a_{n}\) )

with a₁ = 5 and \(a_{n}\) = a₂₇ = 83 , then

S₂₇ = \(\frac{27}{2}\) (5 + 83) = 13.5 × 88 = 1188

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

114 for #1.      1.6 for #2.    $3600 for #3.    2 11/12 for #4.

Step-by-step explanation:

The statement translated to an algebra equation will give the value of the unknown number w = 11/5

Algebra is the branch of mathematics that helps to represent problems or values in the form of mathematical expressions using letters to represent unknown values.

Let us represent the unknown number with the letter w so that the statement can be written as the equation:

5w - 8 = 3

add 8 to both sides

5w - 8 + 8 = 3 + 8

5w = 11

divide through by 5

5w/5 = 11/5

w = 11/5

Therefore, the statement translated to an algebra equation will give the value of the unknown number w = 11/5

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Answer:

XER (X are all real numbers)

Step-by-step explanation:

as;dbdjkdbusaj hfsvd

Answer:

go back in the lesson and relearn this is 6th grade work

If radius, r = 5in., then we can compute that the area of the circle = 78.55in² or approximately 79in².

Using the formula, Area of Circle = πr²

It is given in the question, r = 5in and as we know that the value of π = 3.142 

Now, putting the values from above in the formula of area of circle, we will get:

A = π × 5² = 3.142 × 25 = 78.55

= 79in² (to the nearest whole number).

The space a circle takes up in a two-dimensional plane is known as its area. Alternately, the area of a circle is the area contained within the circumference or boundary of the circle. The sum of the square units inside that circle is another name for it.

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Answer:

14.4 milligrams

Step-by-step explanation:

First, we have to find how many kilograms are in 80 pounds.

Multiply .45 and 80.

.45(80)=36

Now, divide 36 by 2.5 to find the dosage of the drug.

36/2.5=14.4

Answer:

330

Step-by-step explanation:

165 times 2 equals 312. This is because you're doubling the amount of money and hours.

Answer:

b is the answer  brainliest please i need 1 more

Step-by-step explanation:

jayfeather friend me

Answer:

6 pounds

Step-by-step explanation:

6 grams is the weight of 2 paperclips, and 16 millimeters and 60 inches are used to measure volume, not weight.

hope it helps! :3

Approximately 99.7% of scores lie in the shaded region.

We have,

The empirical rule, also known as the 68-95-99.7 rule, provides an estimate of the percentage of scores that lie within a certain number of standard deviations from the mean in a normal distribution.

According to this rule:

Approximately 68% of scores lie within 1 standard deviation of the mean.

Approximately 95% of scores lie within 2 standard deviations of the mean.

Approximately 99.7% of scores lie within 3 standard deviations of the mean.

Now,

In the given scenario, the shaded region represents the area between -2 and 3 standard deviations from the mean on the x-axis.

This encompasses the area within 3 standard deviations of the mean.

And,

Since 99.7% of scores lie within 3 standard deviations of the mean, we can estimate that approximately 99.7% of scores lie in the shaded region.

Therefore,

Approximately 99.7% of scores lie in the shaded region.

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The best way to represent histograms is by decreasing to increasing order.

The mean is the arithmetic mean and is calculated by adding a group of numbers and dividing by the count of those numbers. For example, the average of 2, 3, 3, 5, 7, and 10 is 30 divided by 6, which is 5.

Given the values:

50 42 32 35 41 44 24 46 31 47 36 32 30 44 22 47 31 56 28 37 49 28 42 38 45

We have that:

(22+24+28+28+30+31+31+32+32+35+36+37+38+41+42+42+44+44+45+46+46+47+47+49+50)/25=37.88.

The average age that a large construction company wants to know is 38.

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Answer:

-1.4

Step-by-step explanation:

The opposite is 1.4, and the opposite of that is -1.4! Have a good day, and I hope this helps!

The volume of the given figure is 1176 cubic cm.

The value of the figure is calculated by multiplying all three side areas. Volume is a measure of the amount of space that an object or a substance occupies. It is typically expressed in cubic units such as cubic meters (m³), cubic centimetres (cm³), or cubic feet (ft³).

The volume of the figure is calculated as,

Volume = 2 ( 15 x 6 + 20 x 6 + 20 x 18 )

Volume = 1176 Cubic cm

Hence, the volume of the figure will be equal to 1176 Cubic cm.

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Answer:

Step-by-step explanation:

The three purchases give rise to 3 equations:

  2x +3y +z = 15.75

  x +4z = 21.75

  4y +2z = 14.00

Using your graphing calculator to reduce the augmented matrix ...

  \(\left[\begin{array}{ccc|c}2&3&1&15.75\\1&0&4&21.75\\0&4&2&14.00\end{array}\right]\)

You find the units costs to be ...

Answer:

<1=62

<2=83

<3=35 this is the answer of this question

The scale factor used to create the image is 4. Option D, 4, is the correct answer. This indicates that the dilated polygon A'B'C'D' is four times larger than the original polygon ABCD in terms of both the horizontal and vertical dimensions.

To determine the scale factor used to create the image, we can compare the corresponding sides of the original polygon ABCD and the dilated polygon A'B'C'D'.

Let's consider the horizontal distance between points A and B in the original polygon. It is 3 - 1 = 2 units. Now, let's consider the horizontal distance between points A' and B' in the dilated polygon. It is 12 - 4 = 8 units.

The scale factor can be calculated by dividing the corresponding side lengths of the dilated polygon by the corresponding side lengths of the original polygon. In this case, we have:

Scale factor = (Horizontal distance between A' and B') / (Horizontal distance between A and B)

Scale factor = 8 / 2

Scale factor = 4

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