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ioda
2 years ago
5

Oscar's dog house is shaped like a tent. the slanted sides are both 5 feet long and the bottom of the house is 6 feet across. wh

at is the height of his doghouse, in feet, at its tallest point? 0 points
Mathematics
1 answer:
Cloud [144]2 years ago
7 0

4 feet is the highest


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What is the value of f(-4)
WITCHER [35]

Answer:

7

Step-by-step explanation:

Substitute x = -4 :

f(-4) =  3 - (-4)

= 3 + 4

= 7

4 0
3 years ago
Suppose that the function f is defined, for all real numbers, as follows.
Veseljchak [2.6K]

The solutions of the function are:

  • When f(x) = -4, the solution is -4
  • When f(x) = -2, the solution is -5/2
  • When f(x) = 0, the solution is -1

<h3>How to solve for the equation </h3>

The equation is given as

\frac{3}{4} x-1\\\\

When x = -4

3/4 * -4 -1

= -12/4 - 1

= -4

When x = -2

3/4*(-4) - 1

= -6/4 - 1/1

Take the lcm

-10/4

= -5/2

When x = 0

3/4(0) - 1

= -1

When f(x) = -4, the solution is -4

When f(x) = -2, the solution is -5/2

When f(x) = 0, the solution is -1

Read more on real numbers here:

brainly.com/question/155227

#SPJ1

6 0
1 year ago
3. Mrs. Brown has 9 cups of flour. Each
hodyreva [135]

Answer:

3/4 of a batch

Step-by-step explanation:

9 out of the total 12 cups is what she has. So this converts into the fraction of 3/4 when simplified so she can make 3/4 of a batch.

6 0
2 years ago
Read 2 more answers
A lighthouse has a shadow that is 36 feet long. Zara is 4 feet tall, and she is standing next to the lighthouse. Zara has a shad
larisa [96]

Answer:

Explanation:

7 0
2 years ago
Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints of each subinterval as your
Darina [25.2K]

Answer:

Given definite  integral as a limit of Riemann sums is:

\lim_{n \to \infty} \sum^{n} _{i=1}3[\frac{9}{n^{3}}i^{3}+\frac{36}{n^{2}}i^{2}+\frac{97}{2n}i+22]

Step-by-step explanation:

Given definite integral is:

\int\limits^7_4 {\frac{x}{2}+x^{3}} \, dx \\f(x)=\frac{x}{2}+x^{3}---(1)\\\Delta x=\frac{b-a}{n}\\\\\Delta x=\frac{7-4}{n}=\frac{3}{n}\\\\x_{i}=a+\Delta xi\\a= Lower Limit=4\\\implies x_{i}=4+\frac{3}{n}i---(2)\\\\then\\f(x_{i})=\frac{x_{i}}{2}+x_{i}^{3}

Substituting (2) in above

f(x_{i})=\frac{1}{2}(4+\frac{3}{n}i)+(4+\frac{3}{n}i)^{3}\\\\f(x_{i})=(2+\frac{3}{2n}i)+(64+\frac{27}{n^{3}}i^{3}+3(16)\frac{3}{n}i+3(4)\frac{9}{n^{2}}i^{2})\\\\f(x_{i})=\frac{27}{n^{3}}i^{3}+\frac{108}{n^{2}}i^{2}+\frac{3}{2n}i+\frac{144}{n}i+66\\\\f(x_{i})=\frac{27}{n^{3}}i^{3}+\frac{108}{n^{2}}i^{2}+\frac{291}{2n}i+66\\\\f(x_{i})=3[\frac{9}{n^{3}}i^{3}+\frac{36}{n^{2}}i^{2}+\frac{97}{2n}i+22]

Riemann sum is:

= \lim_{n \to \infty} \sum^{n} _{i=1}3[\frac{9}{n^{3}}i^{3}+\frac{36}{n^{2}}i^{2}+\frac{97}{2n}i+22]

4 0
3 years ago
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