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3 years ago

find the volume of a rectangular prism fish tank with base lengths of 10 and 8 inches, and a height of 10 inches.

Mathematics

1 answer:

Lyrx [107]3 years ago

7 0

Answer:

800 cubic inches

Step-by-step explanation:

10 x 8 x 10 =800

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The rational function has a y-intercept of 7. What is the equation for this function?

Schach [20]

Answer:

$\large\boxed{f(x)=\dfrac{4}{x+2}+5}$

Step-by-step explanation:

$f(x)=\dfrac{a}{x-b}+c\\\\\text{We have}\\\text{(1) the vertical asymptote}\ x=-2.\ \text{Therefore}\ b=-2.\\\text{(2) the horizontal asymptote}\ y=5.\ \text{Therefore}\ c=5.\\\text{(3) the point (0, 7). Put the coordinates of the point to the equation}\\\text{of the function}\\y=\dfrac{a}{x-(-2)}+5\\\\7=\dfrac{a}{0+2}+5\qquad\text{subtract 5 from both sides}\\\\2=\dfrac{a}{2}\qquad\text{multiply both sides by 2}\\\\4=a\to a=4\\\\\text{Finally:}\\\\f(x)=\dfrac{4}{x+2}+5$

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3 years ago

2. A line goes through the points (8, 9) and (-2, 4).

Scrat [10]

Answer:

Step-by-step explanation:

A line goes through the points (-2, 4) and (8, 9). We see that x increases by 10 and y increases by 5.

Thus, the slope of this line is m = rise / run = 5/10 = 1/2 (the slope)

Starting with the point slope equation y - k = m(x - h) and substituting 9 for y, 8 for x and 1/2 for m, we get:

y - 9 = (1/2)(x - 8) (point-slope form)

y = (1/2)x + 5 (slope-intercept form)

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3 years ago

All organisms are made of cells. __________<br><br> Is it a fact,hypothesis,theory,or law

Damm [24]

Answer:

fact

Step-by-step explanation:

.................

4 0

3 years ago

Dollars, that Lucia paid for her ticket can be modeled by the expres

RUDIKE [14]

$82.50

May I have brainliest?

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4 years ago

When x3+ cx + 4 is divided by (x + 2), the remainder is 4. Find the value of c.

never [62]

Answer:

-4

Step-by-step explanation:

x³ + cx + 4 divided by x + 2 has a remainder of 4, so:

(x³ + cx + 4) / (x + 2) = ax² + bx + d + 4 / (x + 2)

Multiply both sides by x + 2:

x³ + cx + 4 = (ax² + bx + d) (x + 2) + 4

Distribute:

x³ + cx + 4 = ax²(x + 2) + bx(x + 2) + d(x + 2) + 4

x³ + cx + 4 = ax³ + 2ax² + bx² + 2bx + dx + 2d + 4

x³ + cx + 4 = ax³ + (2a + b)x² + (2b + d)x + 2d + 4

Match the coefficients.

a = 1

2a + b = 0

2b + d = c

2d + 4 = 4

Solving, a = 1, b = -2, and d = 0. So c = -4.

We can also solve this using long division (see picture).

6 0

3 years ago