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1 year ago

Need help with this question

Mathematics

1 answer:

OverLord2011 [107]1 year ago

7 0

Given: a quadratic function with vertex (2,3) opening upward .

Find: the given statement is true or false.

Explanation: if parabola has a vertex at (2,3) and opens upward, it has one real solution., (2,3) will be a lowest point. The vertex will be at lowest point, it will be minimum.

that means graph has no one real solution. hence it will never going to intersect. so this statement is false.

Final answer: the given statement is FALSE.

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The dimensions of the fountain cup are as follows:

Novosadov [1.4K]

Answer:

Volume of fountain cup in gallons = 1,192.5 gallon (Approx.)

Step-by-step explanation:

Given:

Height of Frustum = 8 feet

Diameter of top = 6 feet

Diameter of base = 4 feet

Find;

Volume of fountain cup in gallons

1 cubic foot = 7.5 gallons

Computation:

Radius of top = 6 / 2 = 3 feet

Radius of base = 4 / 2 = 2 feet

Volume of fountain cup in gallons = (πh/3)[R² + r² + Rr]

Volume of fountain cup in gallons = [(3.14)(8)/3)[3² + 2² + (3)(2)]

Volume of fountain cup in gallons = [8.37)[9 + 4 + 6]

Volume of fountain cup in gallons = [8.37)[19]

Volume of fountain cup in gallons = 159.03

Volume of fountain cup in gallons = 159 feet³

Volume of fountain cup in gallons = 159 x 7.5

Volume of fountain cup in gallons = 1,192.5 gallon (Approx.)

4 0

2 years ago

A closed container has 5.04 ⋅ 1023 atoms of a gas. Each atom of the gas weighs 1.67 ⋅ 10–24 grams.

never [62]

Answer:

Step-by-step explanation:

Each atom of the gas weighs 1.67 ⋅ 10−24 grams. 6.71 grams, because (5.04 + 1.67) ⋅ (1023⋅ 10−24 ) = 6.71. ... 0.67 grams, because (5.04 + 1.67) ⋅ (1023⋅ 10−24 ) = 6.71 ⋅ 10−1.

3 0

3 years ago

Show work please~

love history [14]

For every 1 cup of blue paint, $\frac{10}{4}$ cups of red paint are needed

For every 1 cup of red paint, $\frac{4}{10}$ cup of blue paint is needed

For every 4 cups of red paint, $\frac{16}{10}$ cups of blue paint are needed

<em><u>Solution:</u></em>

Given that, there are 3 1/3 red cups of paint for every 1 1/3 cups of blue paint

Therefore, ratio is

$Red : blue = 3\frac{1}{3} : 1\frac{1}{3}\\\\Red : blue = \frac{10}{3} : \frac{4}{3}$

<h3><u>For every 1 cup of blue paint, ___ cups of red paint are needed</u></h3>

Let "x" be the cups of red paint needed

Then we get,

$\frac{10}{3} : \frac{4}{3}\\\\x : 1$

This forms a proportion

$1 \times \frac{10}{3} = \frac{4}{3} \times x\\\\x = \frac{10}{4}$

Therefore, 10/4 cups of red are needed for 1 cup of blue

<h3><u>For every 1 cup of red paint, ___ cup of blue paint is needed</u></h3>

Let "x" be the cups of blue paint needed

Then, we get

$\frac{10}{3} : \frac{4}{3}\\\\1 : x$

This forms a proportion

$\frac{10}{3} \times x = \frac{4}{3} \times 1\\\\x = \frac{4}{10}$

Thus, 4/10 cups of blue are needed for 1 cup of red paint

<h3><u>For every 4 cups of red paint,___ cups of blue paint are needed</u></h3>

Let "x" be the cups of blue paint needed

Then, we get

$\frac{10}{3} : \frac{4}{3}\\\\4 : x$

This forms a proportion

$\frac{10}{3} \times x = \frac{4}{3} \times 4\\\\x = \frac{16}{10}$

Thus 16/10 cups of blue paint are needed for every 4 cups of red paint

5 0

3 years ago

What is the midpoint of a segment in the complex plane with endpoints at 6 – 2i and –4 + 6i?

igomit [66]

1+2i

to find the midpoint you do it just like you did with rectangular coordinates,
add and divide by 2 the real component and the imaginary components.

$\frac{6-4}{2} = \frac{2}{2} = 1$

and

$\frac{-2i+6i}{2} = \frac{4i}{2} = 2i$

7 0

2 years ago

Compute the number of vinyl tiles, measuring 28 inches on each side, needed to tile a kitchen measuring 102 ft. by 18 ft.

ratelena [41]

Answer:

338 tiles

Step-by-step explanation:

First, convert the measurements of the kitchen from feet to inches by multiplying each measurement by 12.

102 * 12 = 1224 18 * 12 = 216

Now multiply these answers together.

1224 * 216 = 264,384 square inches

Now find the area of the vinyl tiles.

28 * 28 = 784 square inches

Now find how many 784 square inch tiles are needed to cover a 264,384 square inch kitchen.

264,384 / 784 = 337.224

Since you can't buy part of a tile, round your answer up.

338 tiles

6 0

3 years ago

Read 2 more answers