helping finding the degrees
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The Height of the given rectangular prism is:  (x + 1) - 4/(x³ + 3x² + 8)

In algebra, polynomial long division is defined as an algorithm used in dividing a polynomial by another particular polynomial of the same or even lower degree, which is a generalized version of the common arithmetic technique called long division. It can be done easily by hand, because it separates a supposedly complex division problem into smaller ones.

We are given:

Volume of a rectangular prism =  (x⁴ + 4x³ + 3x² + 8x + 4), and the area of its base is (x³ + 3x² + 8)

Thus, height is:

                   x + 1

x³ + 3x² + 8|x⁴ + 4x³ + 3x² + 8x + 4

                -  x⁴ + 3x³ + 0   + 8x

                           x³ + 3x² + 4

                         - x³ + 3x² + 8

                                        -4

Thus:

Height = (x + 1) - 4/(x³ + 3x² + 8)

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Answer:

PLEASE MARK ME AS BRAINLIEST

ANSWER=£180

2 parts= 120

1 part= 60

3*60= £180

PLEASE MARK ME AS BRAINLIEST

Answer:

120/3=40 40x2=80 120-80=40 the answer i 40

Answer:

• Since these lines are perpendicular, their product of their gradients is negative one:

\( \dashrightarrow \: { \tt{m_{1} \times m _{2} = - 1 }}\)

• m1 is gradient of first line.

• m2 is gradient of second line.

\( \dashrightarrow \: { \tt{ - \frac{1}{3} \times m_{2} = - 1}} \\ \\ \hookrightarrow \: { \underline{ \tt{ \: \: m _{2} = 3 \: \: }}}\)

• since they intersect at a point on x-axis, y = 0

• Considering the first line: y = 9 - ⅓x

\(\dashrightarrow \: { \tt{0 = 9 - \frac{1}{3} x}} \\ \\ { \tt{x = 9 \times 3 = 27}}\)

point is (27, 0)

• Considering the second line: y = mx + b

\(\dashrightarrow \: { \tt{0 = (3 \times 27) + b}} \\ \\ { \tt{b = - 81}}\)

Answer:

x=25.

Step-by-step explanation:

We know because of corresponding angles, the sum of the angle adjacent to (2x-5) and (2x-5) is 180 degrees

2x-5+5x+10=180

7x+5=180

7x=175

x=25

Answer:

The displacement of the object on this intervals is 1.33 m.

Step-by-step explanation:

Given that,

The function of velocity is

\(v=\dfrac{1}{2t+4}\ m/s\)

For 0 ≤ t ≤8 , n = 2

We need to calculate the intervals

Using formula for intervals

For, n = 1

\(\Delta x=\dfrac{t_{f}-t_{i}}{n}\)

\(\Delta x=\dfrac{8-0}{2}\)

\(\Delta x=4\)

So, The intervals are (0,4), (4,8)

We need to calculate the velocity

Using given function

\(v=\dfrac{1}{2t+4}\)

For first interval (0,4),

Put the value into the formula

\(v_{0}=\dfrac{1}{2\times0+4}\)

\(v_{0}=\dfrac{1}{4}\)

For first interval (4,8),

Put the value into the formula

\(v_{4}=\dfrac{1}{2\times4+4}\)

\(v_{4}=\dfrac{1}{12}\)

We need to calculate the total displacement

Using formula of displacement

\(D=(v_{0}+v_{4})\times(\Delta x)\)

Put the value into the formula

\(D=(\dfrac{1}{4}+\dfrac{1}{12})\times4\)

\(D=1.33\ m\)

Hence, The displacement of the object on this intervals is 1.33 m.

The displacement of the object whose velocity function is given is 1.33 m

The given parameters are:

\(\mathbf{v = \frac{1}{2t + 4},\ 0 \le t \le 8; n =2}\)

The end point of intervals is calculated as:

\(\mathbf{\triangle t = \frac{b - a}{n}}\)

So, we have:

\(\mathbf{\triangle t= \frac{8 - 0}{2}}\)

\(\mathbf{\triangle t = \frac{8}{2}}\)

\(\mathbf{\triangle t= 4}\)

So, the intervals are (0,4) and (4,8)

Calculate the velocity at the beginning of each interval

\(\mathbf{v_0 = \frac{1}{2(0) + 4} = \frac 14}\)

\(\mathbf{v_4 = \frac{1}{2(4) + 4} = \frac 1{12}}\)

Calculate the displacement (S) using:

\(\mathbf{S = (v_0 + v_4) \times \triangle t}\)

So, we have:

\(\mathbf{S = (1/4 + 1/12) \times 4}\)

Expand

\(\mathbf{S = 1 + 1/3}\)

Add

\(\mathbf{S = 1 \frac 13}\)

Express as decimals to 2 decimal places

\(\mathbf{S = 1.33}\)

Hence, the displacement is 1.33 m

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The equation of the line that passes through the point (-3, 7) and has a slope of -5/3 is y - 7 = (-5/3)(x + 3).

We are given the point (-3, 7) and the slope of the line as -5/3.The slope-intercept form of a line is y = mx + b where m is the slope and b is the y-intercept.

To obtain the equation of the line, we need to substitute the values of slope and point in the slope-intercept form and solve for b.(7) = (-5/3)(-3) + b 21/3 = b.

Now we have the value of b, and we can substitute the values of m and b in the slope-intercept form.y = (-5/3)x + 21/3 is the equation of the line in slope-intercept form.

To obtain the equation in the standard form Ax + By = C, we multiply each term by 3.3y = -5x + 7Add 5x to both sides5x + 3y = 7.

This is the equation of the line in standard form.

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Mary has left with a 1 kilometer  i.e. \(\frac{2}{7}\) of the journey is incomplete

Given that Mary is going for a 3.5 km walk. So far she’s walked 1.55 km through the park, 0.6 km across the bridge, and 0.35 km up the hill and asked to find the  fraction of the walk she has left

Total journey distance = 3.5 kilometers

Distance walked by mary on the bridge=0.6 kilometers

Distance walked by mary through the park=1.55 kilometers

Distance walked by mary up the hill=0.35 kilometers

Total distance traveled by mary=(0.6+1.55+0.35)kilometers

Total distance traveled by mary=2.5 kilometers

The distance left=3.5 kilometers-2.5 kilometers

The distance left=1 kilometer

1 kilometer is  \(\frac{2}{7}\) of the journey by assuming 3.5 kilometer will complete the jouney

Therefore, Mary has left with a 1 kilometer  i.e. \(\frac{2}{7}\) of the journey is incomplete

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The total personnel costs of the cleanup would be $8,625.

Between 9AM and 5PM, a total of 8 hours, the workers are present during the interval t=0 to t=8. During this interval, the number of workers is given by:

f(t) = 30 + 10sin((2π/16)t)

We can calculate the number of workers for each hour using this formula:

f(0) = 30 + 10sin(0) = 30

f(1) = 30 + 10sin(π/8) ≈ 38.66

f(2) = 30 + 10sin(π/4) = 40

f(3) = 30 + 10sin(3π/8) ≈ 38.66

f(4) = 30 + 10sin(π/2) = 40

f(5) = 30 + 10sin(5π/8) ≈ 38.66

f(6) = 30 + 10sin(3π/4) = 30

f(7) = 30 + 10sin(7π/8) ≈ 21.34

f(8) = 30 + 10sin(π) = 20

So, during the first 8 hours, the number of workers fluctuates between 20 and 40.

Between 5PM and 9AM the next day, a total of 16 hours, the workers are present during the intervals t=8 to t=12, t=20 to t=36, and t=44 to t=48. During these intervals, the number of workers is given by:

Between t=8 and t=12, the number of workers is decreasing from 40 to 20. We can approximate this by a linear function:

f(t) = 40 - 5t

Between t=20 and t=36, the number of workers is constant at 20.

Between t=44 and t=48, the number of workers is increasing from 20 to 40. We can use the same linear function as before, but with t shifted by 44:

f(t) = 40 - 5(t-44)

We can now calculate the total personnel costs by multiplying the number of workers at each time interval by the appropriate hourly rate:

From 9AM to 5PM (8 hours): 30 workers on average, at a rate of $15 per hour:

8 × 30 × 15 = $3,600

From 5PM to 9AM the next day (16 hours):

From t=8 to t=12 (4 hours): average of 30 workers, at a rate of $22.5 per hour:

4 × 30 × 22.5 = $2,700

From t=20 to t=36 (16 hours): constant 20 workers, at a rate of $22.5 per hour:

16 × 20 × 22.5 = $7,200

From t=44 to t=48 (4 hours): average of 30 workers, at a rate of $22.5 per hour:

4 × 30 × 22.5 = $2,700

The total cost is the sum of the costs for each time interval:

$3,600 + $2,700 + $7,200 + $2,700 = $16,200

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If triangle ABC has the following measurements, than the measure of side c is 25.08

What is triangle ?

A triangle in which it contains three sides and three angles and the sum of three angles be 180 degrees.
Given ,

a = 17

b = 23

C = 76 degrees.

So,

we know that,

c = \(\sqrt{a^{2}+b^{2}-2abcosc }\)

c = \(\sqrt{17^{2} + 23^{2} - 2*17*23*cos76 }\)

c = \(\sqrt{289 + 529 - 884*cos76}\)

c = \(\sqrt{818-189}\)

c = \(\sqrt{629}\)

c = 25.08

hence , If triangle ABC has the following measurements, than the measure of side c is 25.08

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Answer: You can buy 5 shirts if you buy 2 pair of pants.

Step-by-step explanation: Just out of curiosity, where do you live? I’m just wondering because I’ve never heard of the AED as a money unit... lol

Answer:

Step-by-step explanation:

Why are you so mean to me

Part I: Complete the Square

\(y=-6x^2 + 36x-12\\ \\ y=-6(x^{2}-6x)-12\\\\ y=-6\left((x-3)^{2}-9 \right)-12\\\\y=-6(x-3)^{2}+54-12\\\\\boxed{y=-6(x-3)^{2}+42}\)

Part II: Graph of the function

See the attached image for the complete graph.

After completing the square, the equation of the quadratic is in vertex form, and so the vertex is at (3, 42).

Also, as the coefficient of \(x^2\) is negative, the graph opens down.

Once you figure this out, find the coordinates of some other points on the graph and connect them in the shape of a parabola.

Part III: Line of symmetry

The axis of symmetry is the vertical line passing through the vertex. In this case, it is x = 3.

Part IV: Maximum/minimum value

The maximum/minimum value is the y-coordinate of the vertex. In this case, it is 42.

Answer:

6/12=12/24

Step-by-step explanation:

24÷12=2

therefore 12/24=12

6x2=12

therefore your answer is

6/12

Tell me if I'm wrong :)

Answer:

6/12 = 12/blank,

lets blank be x,

6/12 = 12/x,

6x=144,

x = 24

Answer:Shadow dragon in adopt me!!! Oh my gosh!!!

Step-by-step explanation:

Answer is D

Step-by-step explanation:

51x + 23y = 116 ……….. (i)

23x + 51y = 106 ………… (ii)

Subtracting (ii) from (i)

28x – 28y = 10

28(x – y) = 10

⇒ (x – y) = 10/28 = 5/14

The solution of the expression x- y is 5/14.

Given Equation:

Equation 1: 51x + 23y = 116

Equation 2: 23x + 51y = 106

Now, multiply 23 in equation 1 and 51 in equation 2 gives

Equation 3: 1173x + 529y = 2,668

Equation 4: 1173x + 2601 y = 5406

Solving the Equation 1 and (3) gives

2601y - 529y = 5406 - 2668

2072y= 2738

y = 37/28.

Substituting the value of y= 37/28 in Equation 1 gives

51x + 23(37/28)= 116

51 x= 2397/28

x= 47/28

So, the value of x-y

= 47/28 - 37/28

= 10/28

= 5/14

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The complete diagram map is given as,
1 - 3
2 - 5,
3 - 7,
8 - 17,
10 - 21
100 - 201

Given that,
To complete the map diagram,

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

here,
The given map diagram follows the general term as nth term = 2n + 1
So for n = 3
= 2 [3] + 1
= 7
Similarly,

10th = 21
100th = 2001

For the value 17

17 = 2n + 1
n = 8
So the 8th term is 17 in the map diagram,

Thus, The complete diagram map has been shown.

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Answer:

D

Step-by-step explanation:

1 + 4x and 57° are corresponding angles and are congruent , so

1 + 4x = 57 ( subtract 1 from both sides )

4x = 56 ( divide both sides by 4 )

x = 14

Answer:

100 dvds

Step-by-step explanation:

2m = 200cm

200/2 = 100

To find the value of Az in the geometric sequence, we can use the given information. The geometric sequence is represented as follows: A3, 60, 160, 06 = 9.

From this, we can see that the third term (A3) is 60 and the common ratio (r) is 160/60.

To find Az, we need to determine the value of the nth term in the sequence. In this case, we are looking for the term with the value 9.

We can use the formula for the nth term of a geometric sequence:

An = A1 * r^(n-1)

In this formula, An represents the nth term, A1 is the first term, r is the common ratio, and n is the position of the term we are trying to find.

Since we know A3 and the common ratio, we can substitute these values into the formula:

60 =\(A1 * (160/60)^(3-1)\)

Simplifying this equation, we have:

\(60 = A1 * (8/3)^260 = A1 * (64/9)\)

To isolate A1, we divide both sides of the equation by (64/9):

A1 = 60 / (64/9)

Simplifying further, we have:

A1 = 540/64 = 67.5/8.

Therefore, the first term of the sequence (A1) is 67.5/8.

Now that we know A1 and the common ratio, we can find Az using the formula:

Az = A1 * r^(z-1)

Substituting the values, we have:

Az =\((67.5/8) * (160/60)^(z-1)\)

However, we now have the formula to calculate it once we know the position z in the sequence.

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Answer:A school bus provides a safe way of transportation for your child. Learn resources to talk to your child about school bus and bus stop safety.

Step-by-step explanation:

Answer:

30 cm

Step-by-step explanation:

Area of a triangle formula:

A = 0.5bh

Given:

b = 12

c = 5

Work:

A = 0.5bh

A = 0.5(12)(5)

A = 6(5)

A = 30

Answer:

I hit my toe

Step-by-step explain

. 0.85+[0.15+(-1/3)

Answer:

Step-by-step explanation:

uhh

Answer:

decreased

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

g(x) = x²+6

Step-by-step explanation:

g(x) = f(x)+6 = x²+6

Answer:

Step-by-step explanation:

A range

In this case, f(x) = 3(4)−5+ has been stretched and translated up from the parent function. The correct options are A & C.

The graph of the function f(x) = 3(4)−5+ has been transformed from the parent function by the following ways: Translation and vertical stretch of the parent function.

When a function is transformed from its parent function, the transformed function may be shifted up or down, left or right, or stretched or compressed horizontally or vertically from the parent function. In this case, f(x) = 3(4)−5+ has been stretched and translated up from the parent function.

What is a parent function? A parent function is the most basic function of a family of functions that retains its shape and behavior. The parent function serves as a template for all other functions in the family.

The properties and behavior of a function depend on the parent function, which acts as a standard for the transformation of a function from the parent function.

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Answer:

the slope intercept form is   y = (1/2)x - 1

Step-by-step explanation:

The slope-intercept form is, y = mx + b

We see from looking at the graph that,

at x = 0, y = -1

So, from this we find that b = -1

at x = 2, y = 0,

now, we find the slope m,

using,

\(m = \frac{y_{2} -y_1}{x_2-x_1}\)

Using x_2 = 2, y_2 = 0,

x_1 = 0, y_1 = -1, we get,

m = (0-(-1))/(2-0)

m = 1/2

So, the slope intercept form is,

y = (1/2)x - 1