Which polynomial represents the sum below?
+
4x8+2x5 - 2x + 8
2x + 4x + 2
8
+
O A. 6x14 - 244 + 6x + 10
O B. 2x8 + 4x6 + 7x5 + 2x+10
+
O
C. 6x14 + 6x6 + 2x + 10
O D. 2x8 + 4x6 + 2x5 + 2x + 10

Answer:

252

Step-by-step explanation:

The second and third smallest factors must add to 5. The only possibility is that these factors are 2 and 3.

The second and third largest factors must add to \(462-N\). These factors are \(N/2\) and \(N/3\).

\(462-N=\frac{N}{2}+\frac{N}{3} \\ \\ 462-N=\frac{5N}{6} \\ \\ 462=\frac{11N}{6} \\ \\ N=252\)

Answer:

yes 6 lines are symmetry

Answer:

\(\pi\) radian

Step-by-step explanation:

We know that angle for a full circle is 2\(\pi\)

In the given figure shape is semicircle

hence,

angle for semicircle will be half of angle of full circle

thus, angle for given figure = half of  angle for a full circle = 1/2 * 2\(\pi\) = \(\pi\)

Thus, answer is \(\pi\) radian

alternatively, we also know that angle for a straight line is 180 degrees

and 180 degrees is same as \(\pi\) radian.

Answer: 97.5% ( look at the image for the solution )

Step-by-step explanation:

The expected value of x is (m+1)/2, and m must be a positive integer.

The expected value of x is the average value of x that we would expect to get if we selected an integer from the set {1, 2, ..., m} many times. To find the expected value of x, we multiply each possible value of x by its probability of being selected and then sum these products. In this case, each integer in the set {1, 2, ..., m} has an equal probability of being selected, so the expected value is (1 + 2 + ... + m) / m = (m(m+1)) / 2m = (m+1) / 2. So the expected value of x is (m+1)/2, and m must be a positive integer.

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Answer:

16

Step-by-step explanation:

-1 = -⅝ c + 9

Subtract 9 from both sides:

-10 = -⅝ c

Multiply both sides by 8:

-80 = -5c

Divide both sides by -5:

c = 16

Answer:

y=3.4

Step by-step explanation:

-18=y+6

        -6

-24=7y

-24/7=7/7y

y=3.428571

Answer:

y=-4

Step-by-step explanation:

-18=7y+6

-24=7y

y=-24/7(3.428571429)

Answer:

\(b = 5 \sqrt{3} \ or\ b = -5 \sqrt{3}\)

Step-by-step explanation:

Given

\(f(b) = b^2 - 75\)

Required

Determine the roots

To get the root of the function, then f(b) must be 0;

i.e. f(b) = 0

So, the expression becomes

\(0 = b^2 - 75\)

Add 75 to both sides

\(75 + 0 = b^2 - 75 + 75\)

\(75 = b^2\)

Take square roots of both sides

\(\sqrt{75} = \sqrt{b^2}\)

\(\sqrt{75} = b\)

Reorder

\(b = \sqrt{75}\)

Expand 75 as a product of 25 and 3

\(b = \sqrt{25*3}\)

Split the expression

\(b = \sqrt{25} *\sqrt{3}\)

\(b = \±5 *\sqrt{3}\)

\(b = \±5 \sqrt{3}\)

\(b = 5 \sqrt{3} \ or\ b = -5 \sqrt{3}\)

The options are not clear enough; however the roots of the equation are \(b = 5 \sqrt{3} \ or\ b = -5 \sqrt{3}\)

Answer:

0.81241

if i'm wrong i'm rlly rlly sorry!!

Answer:

75%

Step-by-step explanation:

hsjdidjdbdkosksksldmenk

Last year Hari was 4 feet tall, and this year he is 5 feet tall. There is a 25% increase in his height in one year.

Percent, a relative value indicating the hundredth part of any amount. One percent (symbolized 1%) is the hundredth part; for that reason, 100 percent represents everything and 200 percent specifies two times the given amount.

Conclusion: The percentage can be calculated by dividing the value by the total value and then multiplying the result by 100. The formula used to calculate the percentage is: (value/total value)×100%.

let 4feet be 100% of his height.

4 - 100%

x% = (increased height/actual height) * 100

x% = (5/4) * 100

x% q= 125

percent increase of height = 125-100 = 25

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Answer:

$19.25

Step-by-step explanation:

4/4-1/4=3/4

=3/4×40

=30-5

=25-5.75

=$19.25

Answer:

The probability of both outcomes is equal i.e. 50% or 1/2. So, the probability of an event is Favorable outcomes/Total number of outcomes. It is denoted with the parenthesis i.e. P(Event).

Answer: 8/52

Step-by-step explanation:

there are 4 jacks in a deck of 52 cards, and also 4 tens. The combined probability of picking a 10 or jack is 8 in 52, which is 15.38%.

The critical value of that used in constructing the confidence interval is (42.512 , 31.688)

We have the following information from the question:

Sample mean, x(bar) = 37.1 bushels per acre

Sample size, n = 10

Alpha, α = 0.05

Sample standard deviation, s = 5.91 bushels per acre

Degree of freedom = n - 1 = 9

We have to determine the 98% confidence interval for the true mean yield.

We use the formula:

x(bar) ± \(t_c_r_i_t_i_c_a_l\)\(\frac{s}{\sqrt{n} }\)

Plug all the values in above formula:

37.1 ± 2.896\((\frac{5.91}{\sqrt{10} } )\)

37.1 ± 5.412 = (42.512 , 31.688)

Hence, The critical value of that used in constructing the confidence interval is (42.512 , 31.688).

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Answer:

-2 square root 2

Step-by-step explanation:

square root 72= 8.48528

square root 32= 5.65685

8.48528-5.65685=2.82842

Answer:

x=11

Step-by-step explanation:

use SOH, CAH, TOA

adjacent and opposite given so use TOA

tan(θ)=opposite/adjacent

tan(54)=x/8

x=11

The polynomial that represents the area of the shaded region is given as follows:

x² - 3x + 36.

The area of a rectangle is given by the multiplication of the width and the length of the triangle, as follows:

A = lw.

For the entire region, the area is given as follows:

A = (x + 1)(x + 1)

A = x² + 2x + 1.

The area of the white region is given as follows:

Aw = 5(x - 7)

Aw = 5x - 35.

Then the area of the shaded region is given as follows:

As = A - Aw

A = x² + 2x + 1 - (5x - 35)

A = x² + 2x + 1 - 5x + 35

A = x² - 3x + 36.

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A fraction of the rectangle is shaded = 1/4

Consider following diagram.

The rectangle below consists of 8 unit squares.

To find: fraction of the rectangle is shaded

We know that the fraction is used to represent the portion or part of the whole thing.

The fraction has two parts: numerator and denominator.

The top part of fraction is numerator and the bottom part is denominator.

consider a fraction 1/8.

Here, numerator is 1, denominator is 8

When certain thing is divided into 8 equal parts then each part of is represented by fraction1/8

Here, a rectangle consists of 8 unit squares. Out of 8 unit squares, 2 squares are shaded.

So, the fraction would be 2/8

We simplify above fraction 2/8 = 1/4

So, 1/4 of the rectangle is shaded.

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Answer:

4 months

Step-by-step explanation:

Leslie's equation: y = 15x + 20

Rashad's equation: y = 10x + 40

you can put them both in a table or substitute each answer option for x in both equations and see when they're equal

if you substitute 4 for x, both equation equal 80

Answer:

The correct answer is B.

\(f(x) = \frac{1}{(x - 1)(x + 1)} \)

The vertical asymptotes are at x = -1 and at x = 1.

Answer:

7)  Domain:  (-∞, ∞)

    Range:  [-1, ∞)

8)  Domain:  (-∞, ∞)

    Range:  (-∞, ∞)

Step-by-step explanation:

Interval notation

( or ) : Use parentheses to indicate that the endpoint is excluded.

[ or ] : Use square brackets to indicate that the endpoint is included.

Domain & Range

The domain is the set of all possible input values (x-values).

The range is the set of all possible output values (y-values).

From inspection of the graph, the line is continuous.

The arrows either end of the line indicate that the line continues indefinitely in those directions.

Therefore, the domain of the relation is unrestricted:  (-∞, ∞)

From inspection of the graph, the minimum y-value is y = -1.  

The end behavior of the relation is:

\(y \rightarrow + \infty, \textsf{as } x \rightarrow - \infty\)

\(y \rightarrow + \infty, \textsf{as } x \rightarrow +\infty\)

Therefore, the range of the relation is restricted:  [-1, ∞)

From inspection of the graph, the line is continuous.

The arrows either end of the line indicate that the line continues indefinitely in those directions.

Therefore, the domain of the relation is unrestricted:  (-∞, ∞)

The end behavior of the function is:

\(y \rightarrow + \infty, \textsf{as } x \rightarrow - \infty\)

\(y \rightarrow -\infty, \textsf{as } x \rightarrow +\infty\)

Therefore, the domain of the relation is unrestricted:  (-∞, ∞)

Answer:

It would cost $30 to buy 10 ice creams.

Step-by-step explanation:

1 ice cream costs $3

10*3=30

Answer:

k = 8

Step-by-step explanation:

-10 = 10 (k - 9)

➡️ 1 = -(k - 9)

➡️ 1 = -k - 9

➡️k = 9 - 1

➡️ k = 8

To find the combined rate of all the individuals working together, you must add the individual rates.

When calculating the combined rate of individuals working together, you need to add up the individual rates. Each worker contributes their own rate of work or productivity, and by adding these rates together, you can determine the combined rate at which they are working collectively.

This allows you to assess the overall efficiency and output of the team or group. By summing up the individual rates, we have better understanding of the overall productivity and performance of the group.

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Answer:

Step-by-step explanation:

We need to find the value (f-g)(2), so we need first to substitute 2 into the given functions f(x) and g(x) and then subtract the result of g(2) from f(2).

Here, f(x) = 3x^2 + 1 and g(x) = 1 - x,

So, We will substitute 2 into these functions:

f(2) = 3(2)^2 + 1 = 3(4) + 1 = 12 + 1 = 13

g(2) = 1 - 2 = -1

Now, we can subtract g(2) from f(2):

(f-g)(2) = f(2) - g(2) = 13 - (-1) = 13 + 1 = 14

Hence, the required value of (f-g)(2) is 14.

Answer:

The correct answer is 3. To solve for g(-2), we substitute -2 for x in the equation g(x) = 2x + 5. This gives us g(-2) = 2(-2) + 5, which simplifies to -4 + 5 = 1. Next, we substitute the value of g(-2) into the equation for f(g(x)) = 4 - x^2. Thus, f(g(-2)) = 4 - (1)^2, which equals 4 - 1 = 3.

The null hypothesis population proportion for this test is 33%. The test is used to determine if the proportion of only children in the special program is significantly different from the proportion for the school district, at an alpha level of 0.05.

Step 1: Define the parameters:

Population proportion (p): 33%

Significance level (α): 0.05

Step 2: Calculate the test statistic:

Sample proportion (p-hat): 130/345 = 0.37

Step 3: Calculate the critical value:

Critical value (α): 0.05

Step 4: Compare the test statistic to the critical value:

Test statistic (p-hat) > Critical value (α): 0.37 > 0.05

The test statistic is greater than the critical value, so the null hypothesis is rejected. Therefore, the proportion of only children in the special program is significantly different from the proportion for the school district.

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Answer:

here's the solution

4t + 10 < 200

4t < 200 - 10

4t < 190

t < 190/4

t < 47.5

hope it helps