I need help answering the question for math hw 13188 divided by 12

Answer:

-7

Step-by-step explanation:

Sum means addition:

18 + 0 + (-4) + (-12) + 6 + (-15) = -7

You can also combine like terms to get:

24 + (-31) = -7

Answer:

b) -7

Step-by-step explanation:

hope this helps you :)

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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Based on the given derivative function, the function f is decreasing for a < x < b, because f'(x) < 0 for a < x < b (A).

The given derivative function is the first derivative of function f(x), where:

f'(x) = x² - (a+b) x + ab = (x - a) (x - b)

a < b

Since the first derivative function f'(x) is still in the form of x²  function, we can deduce that the original function f(x) has 2 extreme points, the maximum and the minimum. Those extreme points are (x = a) and (x = b).

However we cannot determine which one is the maximum point and which is the minimum one. We need to do another derivative work and check the second derivative function for each extreme points relevant to zero (0).

f'(x) = x²  - (a+b) x + ab

f''(x) = 2x - (a+b)

(x = a)

f''(a) = 2(a) - (a+b)

f''(a) = 2a - a - b

f''(a) = a - b < 0 --> because a < b

(x = b)

f''(b) = 2(b) - (a+b)

f''(b) = 2b - a - b

f''(b) = b - a > 0 --> because a < b

Based on the second derivative function, we can define that (x = a) is the maximum point because f''(a) < 0 and (x = b) is the minimum point because f''(b) > 0. Then the value of f(x) between a < x < b should be on a downward slope.

However wee need to reconfirm this statement by choosing one set of random number that meet the rules of a < x < b. For this time, we use:

a = 1

b = 3

x = 2

Then:

f'(x) = x² - (1 + 3) x + (1) (3)

f'(x) = x²  - 4x + 4

(x = 2)

f'(2) = (2)²  - 4(2) + 3

f'(2) = 4 - 8 + 3

f'(2) = -1 < 0 --> supported statement A

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Answer:11

Step-by-step explanation:

Answer:

See answer and step-by-step attachment.

Step-by-step explanation:

See attachment.

For the deviation between each data value and the mean in column 3, there are around 1320.511 squared deviations in all.

To find the sum of the squared deviations in column 3, add up all the values in that column.

x x − x (x − x)²

50 50 − 40.545 (9.455)² = 89.397

28 28 − 40.545 (-12.545)² = 157.377

37 37 − 40.545 (-3.545)² = 12.567

30 30 − 40.545 (-10.545)² = 111.197

58 58 − 40.545 (17.455)² = 304.677

38 38 − 40.545 (-2.545)² = 6.477

39 39 − 40.545 (-1.545)² = 2.387

59 59 − 40.545 (18.455)² = 340.587

47 47 − 40.545 (6.455)² = 41.667

34 34 − 40.545 (-6.545)² = 42.837

26 26 − 40.545 (-14.545)² = 211.557

To find the sum of the squared deviations, add up the values in column 3:

x − x² = 89.397 + 157.377 + 12.567 + 111.197 + 304.677 + 6.477 + 2.387 + 340.587 + 41.667 + 42.837 + 211.557 = 1320.511

Rounded to three decimal places:

x − x² ≈ 1320.511

Therefore, the sum of the squared deviations in column 3 is approximately 1320.511.

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4. RSTU is a trapezoid because the opposite sides RS and UT are parallel.

5. RSTU is not an isosceles trapezoid because the diagonals are not congruent.

In order to verify that RSTU is a trapezoid, we would have to determine slope of the pair of opposite sides and check whether at least one pair of opposite sides are parallel;

RU ║ ST

Slope of side RU = Slope of side ST

Slope of RU = (y₂ - y₁)/(x₂ - x₁)

Slope of RU = (1 + 3)/(5 + 3)

Slope of RU = 4/8

Slope of RU = 0.5.

Slope of RS = (y₂ - y₁)/(x₂ - x₁)

Slope of RS = (-9 + 3)/(-4 + 3)

Slope of RS = -6/-1

Slope of RS = 6.

Slope of ST = (y₂ - y₁)/(x₂ - x₁)

Slope of ST = (-2 - 1)/(10 - 5)

Slope of ST = -3/5

Slope of ST = -0.6.

Slope of UT = (y₂ - y₁)/(x₂ - x₁)

Slope of UT = (-2 + 9)/(10 + 4)

Slope of UT = 7/14

Slope of UT = 0.5.

Therefore, RSTU is a trapezoid because the opposite sides RS and UT are parallel.

Question 5.

In order to determine whether RSTU is an isosceles trapezoid, we would have to determine length of the diagonals by using the distance formula and check whether they are congruent;

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance RT = √[(-2 + 3)² + (10 + 3)²]

Distance RT = √170 units.

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance US = √[(5 + 4)² + (1 + 9)²]

Distance US = √181 units.

Therefore, RSTU is not an isosceles trapezoid because the diagonals RT and US are not congruent.

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Answer:

Step-by-step explanation:

Answer:

As = 256\(\pi\) or 804.25cm

Step-by-step explanation:

By formula As = \(4\pi r^{2}\)

As = 256\(\pi\) or 804.25cm

Answer:

a) x = 8y

b) x = 32 + 4y

c) 8y =  32 + 4y

Step-by-step explanation:

-4y     -4y

8y = 32 + 4y

÷4    ÷4

4y = 32

y = 32

The expression represents the cost for a non-member to attend y classes is x=8y.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Given that, Club members are charged a one-time membership fee of $32 and pay $4 per class. Non-members pay $8 per class.

Let y represent the number of karate classes attended.

a) The cost for a non-member to attend y classes is

Non-members pay $8 per class.

So, the expression is 8y

b) The cost for a member to attend y classes is

Club members are charged a one-time membership fee of $32 and pay $4 per class.

Now, the expression is 32+4y

c) Set the two expressions equal to each other, that is

8y =32 + 4y

8y-4y=32

4y=32

y=8

Therefore, the expression represents the cost for a non-member to attend y classes is x=8y.

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Answer:

\(\huge \boxed{\mathrm{12}}\)

Step-by-step explanation:

R is a point on the line segment QS.

QR = 2

RS = 10

QS = 2 + 10

QS = 12

The length of the line segment QS is 12 units.

Given that, point R is on the line segment QS. Given QR =2 and RS = 10.

We need to determine the length of QS.

A line segment is a part of a line that has two endpoints and a fixed length. It is different from a line that does not have a beginning or an end and which can be extended in both directions.

Here, since R is in between QS, QS=QR+RS

=2+10=12 units

Therefore, the length of the line segment QS is 12 units.

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Answer:

maybe b?

Step-by-step explanation:

Answer:

Step-by-step explanation:

we know that

In a  triangle

the ratio between the lengths of the two legs is equal to the tangent

so

therefore

the answer is

Option B

-------> could be the ratio

because is the value of the

Option C

------> could be the ratio

because is the value of the

Option E

-------> could be the ratio

because is the value of the

The options B, C and E giving the ratios are correct.

Ratio, in math, is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another. In a ratio, two quantities are compared using division.

Given that, a 30-60-90 right triangle, we need to find the ratio between the lengths of the two legs of the triangle,

Since, we know that,

In a right triangle, the ratio between the lengths of the two legs is equal to the tangent.

so,

Tan 30° = 1/√3

Also,

√3 / 3 = 1/√3

3/3√3 = 1/√3

Hence, the options B, C and E giving the ratios are correct.

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Answer:

The circumference of the circle is approximately 94 inches.

Step-by-step explanation:

C=2(pi)r

C=2(pi)15

C=30(pi)

C=94.24

Rounded Answer: 94 inches

Add the 3 ratio portions together: 1 + 4 + 7 = 12

Divide total length by 12:

84/12 = 7

Multiply each ratio portion by 7:

1 x 7 = 7

4 x 7 = 28

7 x 7 = 49

The longest piece is 49 cm

Answer:

49cm

Step-by-step explanation:

1x+4x+7x=84

12x=84

X=7

4*7=28

7*7=49

So we can see 49cm is the longest.

The probability of Miguel selecting a tile number less than 3 from each bag -1 is 1/5 and bag-2 is 2/5.

The given tiles in bag-1 = {2, 4, 5, 8, 9}

Total number of tiles in bag-1 = 5

The number of tiles less than number 3 in the bag - 1 = 1

The probability of Miguel selecting a tile number less than 3 =

number of tiles less than 3 / total number of tiles = 1/3

The given tiles in bag-2 = {0, 1, 3, 6, 7}

Total number of tiles in bag-2 = 5

The number of tiles less than number 3 in the bag-2 = 2

The probability of Miguel selecting a tile number less than 3 =

number of tiles less than 3 / total number of tiles = 2/3

From the above analysis, we solved the problem.

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The volume of the given triangular prism is 384 cm³.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Here, the area of the base is

Area of a rectangle = 1/2 ×Base×Height

= 1/2 ×12×4

= 24 cm²

Now the volume is 24×16

= 384 cm³

Therefore, the volume of the given triangular prism is 384 cm³.

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Answer:

P-value (t=2.58) = 0.0066.

Note: as we are using the sample standard deviation, a t-statistic is appropiate instead os a z-statistic.

As the P-value (0.0066) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the population mean μ exceeds 2.4.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the population mean μ exceeds 2.4.

Then, the null and alternative hypothesis are:

\(H_0: \mu=2.4\\\\H_a:\mu> 2.4\)

The significance level is 0.05.

The sample has a size n=45.

The sample mean is M=2.5.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=0.26.

The estimated standard error of the mean is computed using the formula:

\(s_M=\dfrac{s}{\sqrt{n}}=\dfrac{0.26}{\sqrt{45}}=0.0388\)

Then, we can calculate the t-statistic as:

\(t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{2.5-2.4}{0.0388}=\dfrac{0.1}{0.0388}=2.58\)

The degrees of freedom for this sample size are:

\(df=n-1=45-1=44\)

This test is a right-tailed test, with 44 degrees of freedom and t=2.58, so the P-value for this test is calculated as (using a t-table):

\(P-value=P(t>2.5801)=0.0066\)

As the P-value (0.0066) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the population mean μ exceeds 2.4.

An image of triangle NOG after a rotation 90° clockwise about the origin is shown below.

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this triangle NOG in order to determine the coordinate of its image;

(x, y)                →            (y, -x)

Point N = (-4, -1)          →     Point N' (-1, 4)

Point O = (-4, -3)          →     Point O' (-3, 4)

Point G = (0, -1)          →     Point G' (-1, 0)

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Answer:

4

Step-by-step explanation:

No.of people play sports= 1/3 of 30

=1 x 10 = 10

So, 10 people play sports

Now, 2/5 out of 10 people play soccer

Therefore, the question will be

2/5 out of 10

= 2x2 = 4

Answer:

eleven dollars and thirty cents per pound of candy

Answer: $11.3

Step-by-step explanation:

110.74 divided by 9.8

I could be wrong.

The graph of the function y = 5|x - 4| is added as an attachment

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

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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It takes 22 years to turn given investment into return $2,000.

Given that, Principal = $1000, rate of interest = 9% and the simple interest = $2000.

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

Simple interest is calculated with the following formula: S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years.

Now, 2000= (1000×9×T)/100

⇒ 2000 = 90T

⇒ T=2000/90

⇒ T=22.22 year

Therefore, it takes 22 years to turn given investment into return $2,000.

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The two z values are -1.96 and +1.96 this means that option A is the correct choice.

From the given information we know that P(-z<Z or Z>z) = 5% = 0.05.

Then the table (area under the normal curve) the probability of values smaller than a certain z-score of the standard normal distribution.

Now the standard normal distribution is symmetric about 0.

P(-z<Z)=P(-z<Z or Z>z)/2

P(-z<Z)=0.05/2

P(-z<Z)=0.025

Here we have to determine the corresponding z-score in area under the normal curve table.

The corresponding z-score z is then given in row/column title of area under the normal curve table which corresponding to a probability of 0.025 or the probability closest.

-z = -1.96

Two z -values , positive and negative that are equidistance from the mean so that the area in two tailed total 5% are,

= ±1.967 = ±1.96

z=-1.96,+1.96

Therefore, the correct option is A.

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Answer:

The circumference of a circle is calculated using the formula: C = πd, where C represents the circumference and d represents the diameter of the circle.

In this case, the diameter of the circle is given as 24 inches.

Using the formula, we can substitute the values:

C = πd

C = 3.14 * 24

C ≈ 75.36 inches

Therefore, the circumference of a circle with a diameter of 24 inches (and using π = 3.14) is approximately 75.36 inches.

Step-by-step explanation:

Answer:

3/4×100%=75%is the percent equivalent to 3/4

A percent is a value out of 100

Change the fraction

= 3/4 * 25

= 75/100

This fraction represents a percent.

= 75/100

= 75%

Answer:

D .

Sorry if i'm wrong.

\(x(2 {x}^{2} + 4x - 1 )\\ = 2 {x}^{3} + 4 {x}^{2} - x\)