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rodikova [14]
2 years ago
15

Look at the figure:

Mathematics
1 answer:
photoshop1234 [79]2 years ago
7 0
PLZ HELP IVE BEEN WAITING FOR 1HR : <span>A rectangular prism has a length of 8 in., a width of 4 in., and a height of 2 1/4 in.

The prism is filled with cubes that have edge lengths of 1/4 in.

How many cubes are needed to fill the rectangular prism?</span>
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Find an equation of a line that is tangent to the graph of f and parallel to the given line. Please see picture
ivanzaharov [21]

Answer:

y = 3x - 2 (smaller y-intercept)

y = 3x + 2 (larger y-intercept)

Step-by-step explanation:

First let's write the generic equation of a line:

y = ax + b

This line needs to be parallel to the line 3x - y + 5 = 0, so it needs to have the same slope of this line.

The line 3x - y + 5 = 0 has a slope of 3, so our line has a = 3:

y = 3x + b

Now we need to find the values of b that make this line tangent to the function f(x) = x^3

Let's first find the derivative of f(x) in relation to x:

df(x)/dx = 3x^2

This derivative is the slope of the tangent line to the function for any value of x. We need a slope of 3, so:

3x^2 = 3

x^2 = 1

x = ±1

Now, to find the y-values, we have:

f(1) = 1^3 = 1

f(-1) = (-1)^3 = -1

So, using the points (1,1) and (-1,-1) in our parallel line, we have:

first line using (1,1) : 1 = 3*1 + b

b = -2

second line using (-1,-1) : -1 = -3*1 + b

b = 2

The value of b is the y-intercept of the line, so the line with smaller y-intercept is y = 3x - 2, and the line with larger y-intercept is y = 3x + 2

8 0
2 years ago
11. If Sally
Delvig [45]

Answer:

0.2

Step-by-step explanation:

Multiply 4/5 and 1/4: Decimal form

.8 • .25

3 0
3 years ago
The main goal of a personal budget is to
Evgesh-ka [11]
Make sure you don't spend to much and have no more money left
3 0
2 years ago
Read 2 more answers
Can you guys help me asap
stepladder [879]
The answer should be D.
7 0
2 years ago
A cake shop bakes a variety of brownies. the top-selling brownies are ones with toppings of chocolate chip, walnuts, or both. a
sesenic [268]

The probability that they will pick neither the chocolate chip nor the walnut toppings is 0.3

We have

the total of all probabilities is 1.00, or 100%.

In the Venn diagram, we have the probabilities 0.2, 0.4 and 0.1; these sum to

0.2+0.4+0.1 = 0.6+0.1 = 0.7.

This leaves us 1.00-0.7 = 0.3 for the remaining probability of no toppings.

Learn more about Probability:

brainly.com/question/13604758

#SPJ4

6 0
1 year ago
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