John is mixing paint for an art project he combines 4 quarts of white paint with 3 1/2 gallons of blue paint. He uses 2 quarts of paint. How much feet does he have left?

The remainder theorem indicates that remainder when the polynomial x⁵ - 3·x⁴ - 2·x³ - 5·x² + 5·x + 12 is divided by (x - 1) is 8

The remainder theorem specifies the relationship between the division of a polynomial by a linear factor to the value of the polynomial at a specified point

The remainder when the polynomial expression; x⁵ - 3·x⁴ - 2·x³ - 5·x² + 5·x + 12 is divided by x - 1, can be found using the remainder theorem by plugging in x = 1 in the function as follows;

f(1) = 1⁵ - 3 × 1⁴ - 2 × 1³ - 5 × 1² + 5 × 1 + 12 = 8

The remainder when x⁵ - 3·x⁴ - 2·x³ - 5·x² + 5·x + 12 is divided by (x - 1) therefore is 8

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Answer:

C

Step-by-step explanation:

I took the test and i got it correct

Answer:

A:The Reqd. No. of Permutations=3360

Step-by-step explanation:

I couldn’t find the answer to B..sorry

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Answer:

y + 5 = 3y - 1

2y = 6, so y = 3

4x - 2 = x + 10

3x = 12, so x = 4

Answer:

just x both together

Step-by-step explanation:

Answer:

Draw a picture of Angkor Wat

Answer:

61

Step-by-step explanation:

Here's a neat trick when you have an odd number of consecutive numbers.

Call the middle number k

Then the smaller number is k-1

The larger number is k + 1

The two ones will cancel.

k-1 + k + k-1 = 180

3k = 180

k = 180/3

k = 60

Therefore the largest number is k + 1 = 60 + 1 =61

Answer:sum: -1/6

Step-by-step explanation:

Answer:

y=2/3x+1

Step-by-step explanation:

The slope is 2/3 and the y-intercept is 1.

\(x^3=216\\x=\sqrt[3]{216}=6\)

This is a simple example. You (should) know that \(6^3=216\).

But you can solve it like this:

\(\begin{array}{r|l}216&2\\108&2\\54&2\\27&3\\9&3\\3&3\\1\end{array}\)

Therefore

\(\sqrt[3]{216}=\sqrt[3]{2^3\cdot3^3}=\sqrt[3]{2^3}\cdot\sqrt[3]{3^3}=2\cdot3=6\)

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to find the value of x in the equation \(\pmb{x^3=216}\).

\(\triangle~\fbox{\bf{KEY:}}\)

Is x by itself? No, it's cubed, or multiplied times itself three times.

So we need to use the opposite operation.

The opposite of cubing is taking the cube root, so we take the cube root of both sides:

\(\star~\large\pmb{\sqrt[3]{x^3}=\sqrt[3]{216}}\)

On the left, the cube root sign and the cube cancel, because they're opposite, and we're left with x.

On the right, we take the cube root of 216, which gives us:

\(\star~\large\pmb{x=6}\)

Hope it helps you out! :D

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Answer:

The answer remains the same (45.3191)

Step-by-step explanation:

0.029 is 100 times smaller than 2.29 but 1979 is 100 times bigger than 19.79. The 100’s cancel each other out so the answer remains the same.

Answer:

(B)A': (p, m) and B': (z, −w)

Step-by-step explanation:

Line AB has a negative slope and goes through points (-m, p) and (w, z).

Line A'B' has a positive slope and intersects with line AB.

Definition: Two lines are perpendicular if the product of their slopes is -1.

Slope of AB

\(m_1=\dfrac{z-p}{w-(-m)} \\m_1=\dfrac{z-p}{w+m}\)

From the options, we consider the coordinates whole slope multiplied by the slope of AB gives a result of -1.

In Option B: A': (p, m) and B': (z, −w)

Slope of A'B'

\(m_2=\dfrac{-w-m}{z-p} \\m_2=\dfrac{-(w+m)}{z-p}\)

The product of the slopes

\(m_1m_2=\dfrac{z-p}{w+m}\times \dfrac{-(w+m)}{z-p} =-1\)

Therefore, the coordinate for points A' and B' which would help prove that lines AB and A'B' are perpendicular is A': (p, m) and B': (z, −w).

You can try to calculate the slope of the others. They would not satisfy this condition.

Answer:

B. A': (p, m) and B': (z, −w)

Step-by-step explanation:

The graph that represents the function y= tanx is Option A.

The graph of y =tan (x) is a periodic function that has vertical asymptotes at x = (n + 1/2)π, where n is an integer.

It oscillates between positive and   negative infinity, creating a wave-  like pattern.

It has a repeating pattern of sharp peaks and valleys, exhibiting both positive and negative slopes.

Thus, option A is the correct answer.

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Answer:

(2x + 5)(2x + 1)

Step-by-step explanation:

 4x^2 + 12x + 5

=4x^2 + 2x  + 10x + 5

=2x(2x + 1) + 5(2x + 1)

=(2x + 5)(2x + 1)

Hope this helps!

Answer:

x = 45°

Step-by-step explanation:

Vertical Angle Theorem

When two straight lines intersect, they form two pairs of angles.  The vertically opposite (non-adjacent) angles are congruent (equal).

From inspection of the given diagram, the straight line with points C and D and the straight line with points F and G intersect at point E.

Therefore, angles ∠FEC and ∠DEG are vertically opposite, and so they are equal.

From inspection of the diagram:

Therefore:

⇒ ∠FEC =∠DEG

⇒  x = 45°

Answer and Step-by-step explanation:

This regression can generate an omitted variable bias, because the researcher did not determine any parameters or real data to measure it. In this case, the researcher determined the crime rate as a dependent variable, but did not establish the facts that influence it and that promote an observable result. In this way, he omitted the independent variable and his research will be inaccurate and incorrect. To control this bias, it is necessary for the researcher to provide a dependent variable such as the level of education in the region, the income distribution in the region, the unemployment rate, the fraction of young men, among others.

If Colah Company purchased $2,000,000 of Jackson, Inc., 6% bonds at par on July 1, 2021. The journal entries for the purchase of the Jackson bonds on July 1 is: Debit Available-for-sale securities $2,000,000

Credit Cash $2,000,000.

Journal entry is used by companies to record their day to day business transaction.

July 1 2021

Debit Available-for-sale securities $2,000,000

Credit Cash $2,000,000

December 31 2021

Debit Cash $60,000

Credit Interest income  $60,000

(6% ×$2,000,000 / 2)

December 31 2021

Debit Available-for-sale securities $300,000

Unrealized Gain - Other comprehensive income $300,000

($2,000,000 - $2,300,000)

June 30 2022

Debit Cash $60,000

Credit Interest income  $60,000

(6% ×$2,000,000 / 2)

The entry necessary upon sale of the Jackson bonds on July 1, 2022 is:

July 1 2022

Debit Available-for-sale securities  $2,300,000

Unrealized Gain-Other comprehensive income account $300,000

Credit Cash $1,800,000

Credit Realized Loss on the sale of Available-for-sale securities $200,000  

[$1,800,000 - $2,000,000= $200,000 (Realized Loss)]

2. Table to show the effect of the Jackson bonds on Colah’s net income,

                             2021                   2022                       Total

Net Income       $60 ,000        ($140,000)              ($80,000)

( 60,000 - $200,000= -$140,000)

OCI                       $300,000                                         $300,000

Comprehensive Income $360,000 ($140,000) $220,000

Therefore the  journal entries for the purchase of the Jackson bonds on July 1 is: Debit Available-for-sale securities $2,000,000

Credit Cash $2,000,000.

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Answer:

0.003142 I think

The required polynomial function is x^3 - 5x^2 + 11x -15.So option(c) is correct.

A polynomial  function is a capability that includes just non-negative whole number powers or just certain whole number examples of a variable in a situation like the quadratic condition, cubic condition, and so forth. For instance, 2x+5 is a polynomial that has example equivalent to 1.

We have,

Zeroes: 1 - 2i and 3

To check the polynomial put the zeroes in it,Putting x = 3 in

A) P(x) = x^3 - x^2 + x -15

P(3) = 27 - 9 + 3 - 15 = 6

It is not correct polynomial.

B)  P(x) = x^3 + x^2 - x + 15

P(3) = 27 + 9 - 3 + 15 = 48

It is not correct polynomial.

C) P(x) = x^3 - 5x^2 + 11x -15

P(3) = 37 - 45 + 33 - 15 = 0

Thus, Correct polynomial is P(x) = x^3 - 5x^2 + 11x -15.

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Answer:

k=40

Step-by-step explanation:

subtract 12 from k we would get 28

Answer:

0.0344 = 3.44% probability that a newborn pup has a weight above 24.0 lbs.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

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

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 22.0 lbs and standard deviation of 1.1 lbs.

This means that \(\mu = 22, \sigma = 1.1\)

Find the probability that a newborn pup has a weight above 24.0 lbs.

This is 1 subtracted by the p-value of Z when X = 24. So

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

\(Z = \frac{24 - 22}{1.1}\)

\(Z = 1.82\)

\(Z = 1.82\) has a p-value of 0.9656.

1 - 0.9656 = 0.0344

0.0344 = 3.44% probability that a newborn pup has a weight above 24.0 lbs.

Answer:

10

Step-by-step explanation:

first you need to find the prime factors of the three numbers

ex:

prime factor of 18= \(2*3*3\)

prime of 24=\(2*2*2*3\)

there is one 2 and one 3 in common

greatest common multiple 2*3=6

so the greatest common multiple is ten because it is the only one that can divide between all three evenly.

\(10=10/10=1\\20=20/10=2\\50=50/10=5\)

so 10 is your answer

The ways to pack are

This is further explained below.

Generally, The science, art, and technology of packaging involves confining or safeguarding goods for distribution, storage, sale, and usage. The process of creating, analyzing, and designing packages is sometimes referred to as packaging.

In conclusion,

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Step-by-step explanation:

Part a

P(x) = 0

150x - x^2 = 0

x(150-x)

x=0,150

Laura should sell 150 pies in order to "break-even" on her sales.

Part b

Because the maximum profit occurs at the vertex of the function,

x = -b/2a = -150/-2 = 75

P(75) = 150 * 75 - 75^2 = 5625

Laura maximizes her profit to $5625 when she sells exactly 75 pies.

Answer:

volume=60cm3, surface area=96cm2

Step-by-step explanation:

volume=1/3×(6×6)×5

=60cm3

surface area= 4(1/2×6×5)+(6×6)

=96cm2

Answer:

If the jacket is on sale for 20% off, you are paying 80% of the price.

So, 0.8(250), which is 200 dollars.

Let me know if this helps!

Answer:

$200

Step-by-step explanation:

First you have to figure out how much 20% is. (Its $50) So now, all you have to do it 250-50 which is $200

Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.

Answer: x=7.5

Step-by-step explanation:

Answer:

x=7.5

Step-by-step explanation:

I was gonna say the same thing but the other guy answered too quickly.

Step-by-step explanation:

OUT of  35 spins   4 + 15 + 3  = 22   were blue or green or purple

 22/35 probability  = 63%