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2 years ago

1, I cannot fail this if I do I have a F in math!! Please make sure u know it’s correct I can’t do it alone.

Mathematics

1 answer:

Anton [14]2 years ago

3 0

Answer:One way of knowing the correct answers, we substitute the ordered pairs to the function and see whether it would make the function true.

3x – 4y = 21

A. (−3, 3)

3(-3) – 4(3) = 21

-21 = 21 ---------------> not equal

B. (−1, −6)

3(-1) – 4(-6) = 21

21 = 21 ---------------> equal

C. (7, 0)

3(7) – 4(0) = 21

21 = 21 ---------------> equal

D. (11, 3)

3(11) – 4(3) = 21

21 = 21 ---------------> equal

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Which solid has a greater volume

Triss [41]

Answer:

The volume of cylinder and the volume of a cone, have equal volume measurements. So, the answer is C).

Step-by-step explanation:

Cylinder:

-Use the formula for the volume of a cylinder. Use both the radius and height for the formula in order to solve and get the volume:

$V = \pi r^2 h$

$V = \pi 2^2 6$

-Solve:

$V = \pi 2^2 6$

$V = \pi \times 2^2 \times 6$

$V = \pi \times 4 \times 6$

$V = \pi \times 24$

$V = 24\pi \approx 75.39$

--------------------------------------------------------------------------------------------------------

Cone:

-Use the formula for the volume of a cone and the radius and height for the formula and solve the formula to get the volume:

$V = \frac{1}{3} \pi r^2h$

$V = \frac{1}{3} \pi 3^28$

-Solve:

$V = \frac{1}{3} \pi 3^28$

$V = \frac{1}{3} \times \pi \times 3^2 \times 8$

$V = \frac{1}{3} \times \pi \times 9 \times 8$

$V = \frac{1}{3} \times \pi \times 72$

$V = \frac{1}{3} \pi \times 72$

$V = 24\pi \approx 75.39$

-So, according to the volume of a cylinder and the volume of a cone, They both have the same volume.

Cylinder: $75.39$ $ft^3$

Cone: $75.39$ $ft^3$

5 0

2 years ago

What is 2+2. 15 points Get it right

Otrada [13]

The answer for this is 4

4 0

2 years ago

Read 2 more answers

In ΔGHI, the measure of ∠I=90°, the measure of ∠G=46°, and IG = 87 feet. Find the length of GH to the nearest tenth of a foot.

sergij07 [2.7K]

Answer:

See attached

I got an answer of 125.2411251548

or to the nearest tenth 125.2

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

93. Let f(x) = 3x - 1 and g(x) = x + 5. Evaluate the following limits. (a) lim x→3 f(g(x)] (b) lim x→3 g[f(x)]

Ipatiy [6.2K]

Answer:

a) 26. b) 13

Step-by-step explanation:

steps are in picture.

Note:If you have any question about it you can ask.

7 0

2 years ago

What is the fourth term in the binomial expansion (a+b)^6)

Dafna11 [192]

Answer:

$20a^3b^3$

Step-by-step explanation:

Binomial Series

$(a+b)^n=a^n+\dfrac{n!}{1!(n-1)!}a^{n-1}b+\dfrac{n!}{2!(n-2)!}a^{n-2}b^2+...+\dfrac{n!}{r!(n-r)!}a^{n-r}b^r+...+b^n$

Factorial is denoted by an exclamation mark "!" placed after the number. It means to multiply all whole numbers from the given number down to 1.

Example: 4! = 4 × 3 × 2 × 1

Therefore, the fourth term in the binomial expansion (a + b)⁶ is:

$\implies \dfrac{n!}{3!(n-3)!}a^{n-3}b^3$

$\implies \dfrac{6!}{3!(6-3)!}a^{6-3}b^3$

$\implies \dfrac{6!}{3!3!}a^{3}b^3$

$\implies \left(\dfrac{6 \times 5 \times 4 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}{3 \times 2 \times 1 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}\right)a^{3}b^3$

$\implies \left(\dfrac{120}{6}\right)a^{3}b^3$

$\implies 20a^3b^3$

7 0

1 year ago