f(x)=-3/2x+11 f(-8) Function?

Answer: yx42b584x252

Step-by-step explanation:

roll with it

Answer:  Possibly, 105 cm³ if it is a triangular prism,  or

Possibly 210 cm³ if it is a rectangular prism

Step-by-step explanation: Without knowing exactly what kind of prism it is, it is impossible to give an exact answer.

If the bases are triangles with altitude and and base of 5 and 6, anf the height of the prism is 7, the volume is

(6×5)/2 × 7

30/2 ×7

15 × 7 = 105 cm³ for a triangular prism

If the bases are rectangles with length and and width of 6 and 5, and the height of the prism is 7, the volume is

6×5×7 = 210 cm³ for a rectangular prism

ANSWER:

STEP-BY-STEP EXPLANATION:

We have the following function:

To calculate the y-intercept, the value of x must be 0, therefore:

To calculate the x-intercept, the value of y must be 0, therefore:

In the case of the vertex, we calculate it as follows:

Answer:

no

Step-by-step explanation:

no

Monthly payment:-

\(\\ \rm\Rrightarrow \dfrac{33935}{13}\)

\(\\ \rm\Rrightarrow 2610.4\$\)

The equation of the line that is parallel and perpendicular to y = -8x + 6 and passes through the point (7, 5) are y = -8x + 61 and  \(y = \frac{1}{8}x + \frac{33}{8}\) respectively.

The slope-intercept form is expressed as;

y = mx + b

Where m is slope and b is the y-intercept.

Given the equation of the original line:

y = -8x + 6

Using the slope intercept:

Slope m = -8

Since the desired line is parallel, it will have the same slope.

Therefore, the slope of the parallel line is also -8.

Plug in the slope m = -8 and the poin (7,5) into the point-slope form:

( y - y₁ ) = m( x - x₁ )

( y - 5) = -8( x - 7 )

Simplify

y - 5 = -8x + 56

y = -8x + 56 + 5

y = -8x + 61

The equation of the parallel line is y = -8x + 61.

For the perpendicular line:

The slope of the perpendicular line will be the negative reciprocal of -8, which is 1/8.

Hence, plug slope m = 1/8 and point (7,5) into the point-slope form:

( y - y₁ ) = m( x - x₁ )

\(y - 5 = \frac{1}{8} ( x + 7 )\\\\y - 5 = \frac{1}{8}x + \frac{7}{8} \\\\y = \frac{1}{8}x + \frac{7}{8} + 5\\\\y = \frac{1}{8}x + \frac{33}{8}\)

Therefore, the perpendicular line is \(y = \frac{1}{8}x + \frac{33}{8}\).

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Answer: B: It has a negative charge.

Step-by-step explanation:

According to theory espoused by the French physicist, Charles-Augustin de Coulomb, like charges charges will repel each other and unlike charges will attract one another.

This means that objects with negative charges will repel each other. As the first balloon in the question was negatively charged, it would only repel the other balloon if it was negatively charged as well.

Answer:

b

Step-by-step explanation:

i got it correct sorry if it wasnt helpful have a good day:)

The line is:

y = 400*x + 2000

And the statements are:

The original purchase price of the computer is given by the y-intercept, which is $2,000

The change in the price of the computer is the slope, which is 400.

A general linear equation is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If the line passes through two points (x1, y1) and (x2, y2), then the slope is:

slope = (y2 - y1)/(x2 - x1)

Using the graph we can identify two points like:

(1, 1600) and (5, 0)

Then the slope is:

a = (0 - 1,600)/(5 - 1) = 400

And the y-intercept is 2,000, as we can see on the graph.

Then the line is:

y = 400*x + 2,000

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A randomized experiment with order, replacement, and no repetition is one in which the order of the outcomes matters, the same outcome can occur multiple times, and no outcome can occur more than once.

For example, drawing a card from a deck and then flipping a coin would be a random experiment with order, replacement, and no repetition. The order of the results is important because the outcome of the coin toss will depend on the outcome of the card draw.

The same result can occur multiple times because the same card can be drawn twice, and no result can occur more than once because the coin can only land heads or tails once.

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Random experiment with order, replacement and without repetition

Answer:

Year 0 900$

Year 1 1000$

year 2 1080$

Year 3 61040$- (interest comes in)

Year 4 110000$

Year 5 152000$

Step-by-step explanation:

Make sure you put that interest comes in or you will be marked wrong.

You're welcome :D GoodLuck have a good day

Answer: 24

Yes (x-2) is a factor. There is a remainder.

Step-by-step explanation:

2³-8•2²+14•2-4

8-8•4+14•2-4

0•4+14•2-4

0+14•2-4

14•2-4

28-4

24

Hope this helps if so plz mark me brainly

Answer: \(m\angle DE F=90^{\circ}\)

Step-by-step explanation:

The slope of \(DE\) is \(\frac{7-3}{5-4}=4\).

The slope of \(EF\) is \(\frac{3-2}{4-8}=-\frac{1}{4}\).

Thus, \(DE \perp EF\), meaning \(m\angle DE F=90^{\circ}\).

Answer:

\(Fraction = \frac{1}{5}\)

Step-by-step explanation:

Given

\(Trays = 20\)

\(Each\ Tray = 5\ colors\)

\(Each\ set = 1\ Purple\)

Required

Fraction of purple in 20 trays

If there are 20 trays, then the total colors is:

\(Colors= 20 * 5\)

\(Colors= 100\)

This also means that, there are 20 purple colors in the set (i.e. 20 trays * 1 purple)

So, the fraction of purple color is:

\(Fraction = \frac{Purple}{Total}\)

\(Fraction = \frac{20}{100}\)

\(Fraction = \frac{1}{5}\)

Answer:

1. 5km/hr

2. 165km/hr

3 2.5m/s

Answer:

1 6.32km/h

2 The average speed of the helicopter will be 96km/ hr or 1.6km/min.

3 2.5 m per second

4 0.002 km/h

Step-by-step explanation:

hope this helps

Answer:

3

Step-by-step explanation:

The area of the composite figure is 122.24 units².

The composite figure consist of a rectangle and two semi circles. Therefore, the area of the composite figure is the sum of the area of the individua shapes.

Hence,

area of the composite figure = area of the rectangle + 2(area of semi circle)

Therefore,

area of the composite figure = 9 × 8 + 2(1 / 2 πr²)

area of the composite figure = 72 + πr²

where

r = 8 / 2 = 4 units

Therefore,

area of the composite figure = 72 + 3.14 × 4²

area of the composite figure = 72 + 3.14 × 16

area of the composite figure = 72 + 50.24

area of the composite figure = 122.24 units²

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A total of 23800 cubes can fit inside the box of the given dimensions.

The volume of a cube is given by -

Volume = a x a x a = a³

Given is that a box has a length of 10 inches, a width of 8\(\frac{3}{4}\) inches, and a height of 4\(\frac{1}{4}\) inches.

The volume of the box would be -

V = 10 x 8\(\frac{3}{4}\) x 4\(\frac{1}{4}\)

V = 10 x 35/4 x 17/4

V = 371.875 inches³

The volume of cube -

v = 1/4 x 1/4 x 1/4

v = 0.015625 inches³

Number of cubes that will fill the box would be -

n = V/v

n = 371.875/0.015625

n = 23800

Therefore, a total of 23800 cubes can fit inside the box of the given dimensions.

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Answer:246.475

Step-by-step explanation:

79+167+19/40

Answer:

Colleen alone to clear the yard of leaves in 40 minutes

Step-by-step explanation:

P.S - The exact question is -

Given - Seas and Colleen are raking leaves in their yard. Working together they can clear the yard of leaves in 24 minutes. What kind of long it would take Sean 20 minutes longer to clear the yard dinner with Colleen working alone

To find - When c is the number of minutes it would take Colleen to finish the job when working alone, the situation is modeled by this rational equation: How long would it take Colleen alone to clear the yard of leaves?

Proof -

Given that the equation is -

\(\frac{1}{c} + \frac{1}{c+20} = \frac{1}{24} \\\frac{c + 20 + c}{c(c+20)} = \frac{1}{24}\\\frac{2c + 20}{c^{2} +20c} = \frac{1}{24}\\24(2c + 20) = c^{2} +20c\\48c + 480 = c^{2} +20c\\28c + 480 = c^{2}\\c^{2} - 28c - 480 = 0\\c^{2} - 40c + 12c - 480 = 0\\c(c - 40) + 12(c - 40) = 0\\(c+12)(c-40) = 0\\c = -12, 40\)

As time can not be negative

So,

we get

c = 40 minutes

∴ we get

Colleen alone to clear the yard of leaves in 40 minutes

Answer: Answer below

Step-by-step explanation: So you would simply have to divide 8 into 72 which would be 9.

we can verify our answer by doing 9x8 which equals 72.

Answer: 9

Step-by-step explanation:

bears divided by shelves = number of bears per shelf

72 bears divided by 8 shelves= 9 bears per shelf

Answer:

3.1) Para calcular la mediana de la lista de datos, primero debemos ordenarlos de menor a mayor:

2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10

Como la lista tiene un número impar de elementos (35), la mediana es el valor central de la lista, es decir, el elemento en la posición 18. En este caso, el valor de la mediana es 6.

3.2) Para calcular la media y la mediana mediante una tabla de frecuencias, primero debemos determinar las frecuencias de cada valor en la lista:

Valor Frecuencia

2 5

4 8

6 9

8 5

10 8

La media se calcula sumando todos los valores y dividiendo entre el número total de elementos:

media = (25 + 48 + 69 + 85 + 10*8) / 35 = 5.8

Para calcular la mediana, primero debemos determinar el valor que ocupa la posición central de la lista. Como el número total de elementos es impar, ese valor es el que ocupa la posición (n+1)/2, donde n es el número total de elementos. En este caso, ese valor es el que ocupa la posición (35+1)/2 = 18.

Luego, debemos encontrar el valor que ocupa la posición 18 contando los valores de la tabla de frecuencias. Podemos hacer esto sumando las frecuencias hasta alcanzar o superar la posición 18:

Valor Frecuencia Frec. Acumulada

2 5 5

4 8 13

6 9 22

8 5 27

10 8 35

Como la posición 18 está dentro del intervalo correspondiente al valor 6, la mediana es 6.

Answer:

A. 3 1/4 ÷ 3/4

Step-by-step explanation:

3 1/4 is being divided by 3/4, 4 times, the remainder is 1/4

The graph of the equation is plotted and the key features are

The curve-shaped graph of a quadratic function is known as a parabola.

The vertex of a parabola is one of its focal points. On the graph, it is either the highest or lowest point. You can imagine it as the parabola's endpoint.

The vertex can be the point of least or maximum values for the graph of this nature that opens up the vertex is the point of lowest value and the value is v(-4.5, -22.25)

Another feature of the graph is how it opens, for a being positive the graph opens up

The solution of the graph is the zero and this is shown in the graph to be

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Let's denote the amount Jolene invested at 3 percent interest as 'x' dollars. Since she put twice as much in the lower-yielding account, the amount she invested at 9 percent interest would be '2x' dollars.

To calculate the interest earned from each account, we'll use the formula: Interest = Principal × Rate × Time.

For the 3 percent interest account:

Interest_3_percent = x × 0.03

For the 9 percent interest account:

Interest_9_percent = 2x × 0.09

We know that the total annual interest is $3120, so we can set up the equation:

Interest_3_percent + Interest_9_percent = 3120

Substituting the above equations, we have:

x × 0.03 + 2x × 0.09 = 3120

Simplifying the equation:

0.03x + 0.18x = 3120

0.21x = 3120

Dividing both sides of the equation by 0.21:

x = 3120 / 0.21

x = 14857.14

Therefore, Jolene invested approximately $14,857.14 at 3 percent interest and twice that amount, $29,714.29, at 9 percent interest.

Answer:

Step-by-step explanation:

X is the amount invested at 6%

Y is the amount invested at 9%

0.06X + 0.09Y = 4998

X = 2Y

0.06(2Y) + 0.09Y  = 4998

.12Y + 0.09Y = 4998

0.21Y = 4998

21Y = 499800

Y = 499800/21 = 23800

So X = 2*23800 = 47600

$47,600 is invested at 6% and $23800 is invested at 9%

Answer:

The answer is A: ( - ∞, 1 )

Step-by-step explanation: