find the value of c so that the polynomial p(x) s divisible by (x+2).
p(x)=4x^3+cx^2+x+2

Answer:

$1.25 is NOT 12.5% dollars. It is 125% of a dollar.

Step-by-step explanation:

We have 1 and 1/4 dollars. 1 and 1/4 as a percentage is 125%

Answer: The item is $42 off.

Step-by-step explanation:

Whenever you have a percentage of a number you simply turn the percentage into a fraction by dividing it by 100. Here 60% would become 0.6. Then you multiply the regular price of $70 by 0.6 to get 60 percent of 70 which is 42. That means that $42 is discounted from the original.

The given situation is about two companies A and B. Company A charges $50 consultation fees and $7 per square foot of tile, including installation. Company B charges $5 per square foot of tile and $125 for the installation.

The Hubert family needs to know how much less Company B will charge than Company A for 150 square feet of tile.The total amount that Company A charges for installing 150 square feet of tile is given by:

Cost of tile installation by Company A = $7 per square foot × 150 square feet= $1050

The total amount that Company B charges for installing 150 square feet of tile is given by:

y = 5x + 125;

where x = 150y = 5(150) + 125y = 875

The amount charged by Company A for installing 150 square feet of tile is $1050.

The amount charged by Company B for installing the same area is $875. Therefore, the amount less charged by Company B than Company A is $175.

Solution:Therefore, Company B will charge $175 less than Company A.

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The IQR of the pages in each author's novel is 32 and the outlier in the dataset is 468

From the question, we have the following parameters that can be used in our computation:

356, 364, 390, 468, 400, 382, 376, 396, 350

When sorted, we have

350, 356, 364, 376, 382, 390, 396, 400 , 468

From the above, we have

Lower quartile, Q1 = 364

Upper quartile, Q3 = 396

So, we have

IQR = 396 - 364

Evaluate

IQR = 32

This means that the IQR is 32

The outlier is the value that is far from the other values

In this case, the data value 468 is far from other values

So, the outlier in the dataset is 468

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Answer:

13 km/hr

Step-by-step explanation:

Speed = (distance covered) / (time to cover the distance)

   ( 8.45 km)   /   (0.65 hr)

   (8.45 / 0.65)  km/hr

The number of kilometers that Ivan rode is k - 3 as an expression.

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

Given:

James rode k kilometers on his bike this week.

Ivan rode on his bike in terms of k if he rode 3 kilometers less than times the number of kilometers that James rode.

That means,

Ivan rode,

= k - 3.

Therefore, k - 3 is the required expression.

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Answer:

\(x(3x + 2) = 3x^2 + 2x\)

Step-by-step explanation:

Given

\(x(3x + 2)\)

Required

Apply distributive property

\(x(3x + 2)\)

Distribute

\(x(3x + 2) = x * 3x + x * 2\)

\(x(3x + 2) = 3x^2 + 2x\)

Answer:

x = \(\frac{1}{2}\), y = 4

Step-by-step explanation:

2x + 3y = 13

4x - y = -2

Lets get the equation of the y value;

4x - y = -2

Subtract 4x to both sides;

-y = -4x - 2

Divide both sides by -1

y = 4x + 2

Substitute y in the second equation;

2x + 3y = 13

2x + 3(4x + 2) = 13

Distribute;

2x + 12x + 6 = 13

14x + 6 = 13

Subtract 6 from both sides;

14x = 7

Divide both sides by 14;

x = \(\frac{1}{2}\)

Lets calculate the value of x;

\((4)\frac{1}{2} - y= -2\\\frac{4}{2} - y =-2\\ 2 - y=-2\\\)

Subtract 2 from both sides;

-y = -4

Divide both sides by -1

y = 4

Answer:

2

Step-by-step explanation:

64x64=4096

So its 64^2=4096

Answer:

x=2

Step-by-step explanation:

Given: 64ˣ=4096

Take the logarithm of each side: log₆₄(64ˣ)=log₆₄(4096)

Final answer: x=2

Answer:

true, i feel ya.

Answer: For the second graph it's -2/3

3.) -10/6

4.) -20/-6

Step-by-step explanation:

Answer; present value of $12,200 to be received 4 years from today, with a discount rate of 5 percent, is $10,027.51.

The present value of $12,200 to be received 4 years from today can be calculated using the formula for present value. The formula is:

Present Value = Future Value / (1 + Discount Rate)^n

Where:
- Future Value is the amount to be received in the future ($12,200 in this case)
- Discount Rate is the interest rate used to discount future cash flows (5 percent in this case)
- n is the number of periods (4 years in this case)

Plugging in the given values into the formula:

Present Value = $12,200 / (1 + 0.05)^4

Calculating the exponent first:

(1 + 0.05)^4 = 1.05^4 = 1.21550625

Dividing the future value by the calculated exponent:

Present Value = $12,200 / 1.21550625

Calculating the present value:

Present Value = $10,027.51

Therefore, the present value of $12,200 to be received 4 years from today, with a discount rate of 5 percent, is $10,027.51.

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Answer:

$810

Step-by-step explanation:

you can multiply 210 by 3

so hmmm tripling $380 we end up with $1140, now, since 7/8 is 0.875, that means that Layla's rate is 5.875, whilst Brandon's is 6.125.

\(~~~~~~ \stackrel{ \textit{\LARGE Layla}}{\textit{Compound Interest Earned Amount}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 1140\\ P=\textit{original amount deposited}\dotfill &\$380\\ r=rate\to 5.875\%\to \frac{5.875}{100}\dotfill &0.05875\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years \end{cases}\)

\(1140 = 380\left(1+\frac{0.05875}{4}\right)^{4\cdot t} \implies \cfrac{1140}{380}=1.0146875^{4t} \\\\\\ 3=1.0146875^{4t}\implies \log(3)=\log(1.0146875^{4t}) \\\\\\ \log(3)=t\log(1.0146875^{4})\implies \cfrac{\log(3)}{\log(1.0146875^{4})}=t\implies \boxed{18.84\approx t} \\\\[-0.35em] ~\dotfill\)

\(~~~~~~ \stackrel{ \textit{\LARGE Brandon}}{\textit{Compound Interest Earned Amount}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 1140\\ P=\textit{original amount deposited}\dotfill &\$380\\ r=rate\to 6.125\%\to \frac{6.125}{100}\dotfill &0.06125\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years \end{cases}\)

\(1140 = 380\left(1+\frac{0.06125}{12}\right)^{12\cdot t} \implies \cfrac{1140}{380}=\left( \cfrac{9649}{9600} \right)^{12t}\implies 3=\left( \cfrac{9649}{9600} \right)^{12t} \\\\\\ \log(3)=\log\left[ \left( \cfrac{9649}{9600} \right)^{12t} \right]\implies \log(3)=t\log\left[ \left( \cfrac{9649}{9600} \right)^{12} \right]\)

\(\cfrac{\log(3)}{ ~~ \log\left[ \left( \frac{9649}{9600} \right)^{12} \right] ~~ }=t\implies \boxed{17.98\approx t} \\\\[-0.35em] ~\dotfill\\\\ 18.84~~ - ~~17.98 ~~ \approx ~~ \text{\LARGE 0.86}\)

Answer:

a. x=0

b x=-8

c x=49/2

Step-by-step explanation:

a. x2+4=4

subtract 4 from both sides

x2=0

multiply

2x=0

divide by 2

x=0

b x2 + 16 = 0

multiply

2x+16=0

subtract both sides by 16

2x=-16

divide by 2

x=-8

c  x2 − 49 = 0

multiply

2x-49=0

add 49 to both sides

2x=49

divide both sides by 2

x=49/2

Answer:

a. X= 0

b. X= undefined or X=4i

c. X= + or - 7

Step-by-step explanation:

a. x² + 4 = 4

when 4 goes to the other side by negative sign it will cancel the other 4. at they equal in magnitude and opposite in sign.

then x² = 0 , where √x²=√0 , finally x=0

b. x² + 16 = 0

16 goes to other side by negative sign too

x² = -16 , where √x²=√-16 , finally x= undefined

due to the negative sign under thr square root.

at √-1 = i then x can be 4i

c. x² - 49 = 0

-49 go to the other side by positive sign

x² = 49 , where √x² = √49 , finally x= + or - 7

where negative sign is neglected at even power

example:

(-7)²=(7)²

Step-by-step explanation:

5x=95

X=95-5

X=90

Therefore ans is 90

Answer:

6 and 3

Step-by-step explanation:

6 · 3 = 18

6 + 3 = 9

The original polynomial, \(x^2 + 7x + 12\), it can be seen that the two are the same, thus confirming that the polynomial was correctly factored.

To check the result after factoring a polynomial, one can use the FOIL method to ensure that the factored polynomial is equivalent to the original polynomial. The FOIL method stands for First, Outer, Inner, Last, and is used to multiply two binomials. To check the result, one would use the FOIL method to multiply the factored polynomial, and compare the result to the original polynomial. For example, let’s consider the polynomial\(x^2+7x+12\). After factoring, this can be written as (x+4)(x+3). To check the result, one would multiply the two binomials together, (x+4)\((x+3) = x^2 + 3x + 4x + 12\). Comparing this to the original polynomial, \(x^2 + 7x + 12\), it can be seen that the two are the same, thus confirming that the polynomial was correctly factored.

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Answer:

21 i think

Step-by-step explanation:

Yes, the equation c^(-1)(ax)b^(-1) = in has a solution for x.

Given that a, b, and c are n×n invertible matrices, we want to find a solution to the equation c^(-1)(ax)b^(-1) = in, where in represents the n×n identity matrix.

To find the solution, we can start by multiplying both sides of the equation by c and b:

c^(-1)(ax)b^(-1) = in

c^(-1)(ax)b^(-1)cb = inc

(ax)(bb^(-1)) = inc

Since bb^(-1) is equal to the identity matrix (since b is invertible), we can simplify the equation further:

(ax)(bb^(-1)) = inc

(ax)i = inc

ax = inc

Now, we can multiply both sides of the equation by a^(-1) (the inverse of matrix a):

a^(-1)(ax) = a^(-1)(inc)

x = a^(-1)(inc)

Therefore, the solution for x is x = a^(-1)(inc).

This solution exists because a, b, and c are assumed to be invertible matrices, meaning that their inverses exist. The inverse of an invertible matrix allows us to solve the equation and find the value of x.

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Answer: 0.06 repeated, I'm sorry if it's wrong! I used a calculator.

Step-by-step explanation:

Calculating 2 divided by 5 / 6 should give you the answer 0.06666666666.

There are four x and 3 negative signs, it implies the answer is option A, 4x - 3

The height of the rectangular prism is 10 meters, calculated using the formula V = l × w × h with the given values of V, l, and w.

We know that the volume of a rectangular prism is given by:

V = l × w × h

where V is the volume, l is the length, w is the width, and h is the height.

Given that the volume of the rectangular prism is 161.2 m³ and the base of the prism is 5.2 m by 3.1 m, we can write:

161.2 = 5.2 × 3.1 × h

Simplifying the equation, we get:

h = 161.2 / (5.2 × 3.1)

h = 10

Therefore, the height of the rectangular prism is 10 meters.

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The additive inverse of − 5 − 7 is 12

The additive inverse of a number is the number that when added to the original number results in zero.

For example, the additive inverse of 5 is -5 because 5 + (-5) = 0.

In our question, the additive inverse of − 5 − 7 would be the number that when added to − 5 − 7 would give zero.

So, the additive inverse of -12 is 12 because -12 + 12 = 0

It is important to note that for any number 'a', its additive inverse is always -a. So if we take any number as a, its additive inverse will be -a.

In summary, additive inverse is the opposite of a number in terms of addition, and it is a number that when added to the original number it results in zero. and the additive inverse of -12 is 12.

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Answer:

B.

Step-by-step explanation:

16 * 4 = 64

The square root of 64 is 8, the square root of 16 is 4, and the square root of 4 is 2

4 * 2 = 8

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On solving the provided question, we can say that the, probability P( 24 period hour) = 5/24

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

here,

E1 = stops at 5 clock

E2 = start at 24 hours

P( 24 period hour) = 5/24

the, probability P( 24 period hour) = 5/24

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Answer:

step 3

Step-by-step explanation:

4*7=28

Not 26

Answer:

6x² - 10x + 11

Step-by-step explanation:

Step 1: Write expression

(9x² - 6x) + (5 - 4x) + (6 - 3x²)

Step 2: Combine like terms

6x² - 10x + 11

Answer:

(0,3)

Step-by-step explanation:

This is the middle of the graph.

Have a great day!!

The set of parameters that would give you the highest position within the class with a score of x = 75 is option (C) μ = 60 and σ = 5 is the correct answer.

In this question,

A z-score tells us how many standard deviations away a value is from the mean. A positive z-score indicates the raw score is higher than the mean average. A negative z-score reveals the raw score is below the mean average.

According to the Percentile to z-score calculator, the z-score that corresponds to the 90th percentile is 1.2816. Thus, any student who receives a z-score greater than 1.2816 would be considered a “good” z-score.

The z-score can be calculated as

z-score = \(\frac{x-\mu}{\sigma}\)

On substituting the above options of μ and σ with the score of x = 75,

a) μ = 70 and σ = 5,

z-score = \(\frac{75-70}{5}\)

⇒ \(\frac{5}{5}\) = 1

b) μ = 70 and σ = 10,

z-score = \(\frac{75-70}{10}\)

⇒ \(\frac{5}{10}\) = 0.5

c) μ = 60 and σ = 5,

z-score = \(\frac{75-60}{5}\)

⇒ \(\frac{15}{5}\) = 3

d) μ = 60 and σ = 10

z-score = \(\frac{75-60}{10}\)

⇒ \(\frac{15}{10}\) = 1.5

Thus the z-score 3, is the higher value. 99% have a z-score between -3 and 3. Therefore, the set of parameters that would give you the highest position within the class with a score of x = 75 is option (C) μ = 60 and σ = 5 is the correct answer.

The complete question is as follows,

If you have a score of x = 75 on an exam, which set of parameters would give you the highest position within the class?

The options for this question are a) μ = 70 and σ = 5, b) μ = 70 and σ = 10, c) μ = 60 and σ = 5, d) μ = 60 and σ = 10.

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