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1 year ago

Find the domain and range with a vertex of (1,-2)

Mathematics

1 answer:

klemol [59]1 year ago

3 0

Answer:

see explanation

Step-by-step explanation:

the domain ( values of x ) that a quadratic can have is all real numbers

domain : - ∞ < x < ∞

the range ( values of y ) are from the vertex upwards , that is

range : y ≥ - 2

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A 12-ft ladder is placed 5 feet from a building. Approximately how high does the ladder reach?

ElenaW [278]

If your adding its 17, Subtracting its 7, multiplying its 60 and dividing its 2.4 hope this helps

4 0

2 years ago

A cylindrical container has a radius of 0.3 meter and a height of 0.75 meter. The container is filled with kerosene. The density

saveliy_v [14]

Answer:

172.83 kg

Step-by-step explanation:

A cylindrical container has a radius (r) of 0.3 meter and a height (h) of 0.75 meter and density of 815 kg/m³.

The density of a substance is the mass per unit volume, it is the ratio of the mass of a substance to the volume occupied. The density is given by the formula:

Density = Mass / volume

The volume of a cylinder is given as:

V = πr²h

V = π × (0.3)² × 0.75 = 0.212 m³

Density = Mass/ volume

Mass = Density × Volume

Mass = 815 kg/m³ × 0.212 m³

Mass = 172.83 kg

6 0

2 years ago

Today joelle walked at a rate of 3 miles per hour and she ran 15 minutes at a rate of 6 miles per hour.How many total miles did

svetoff [14.1K]

I added a screenshot with the complete question

Answer:
Total miles = 2.5 miles

Explanation:
1- While walking:
We are given that Joelle walked 20 minutes at a rate of 3 miles per hour.
This means that she walked $\frac{20}{60} = \frac{1}{3}$ of an hour at a rate of 3 miles per hour
The formula that relates distance, time and velocity is:
Distance = velocity * time
Substitute with the givens to get the distance she covered while walking:
Distance = 3 * $\frac{1}{3}$ = 1 mile

2- While running:
We are given that Joelle ran 15 minutes at a rate of 6 miles per hour
This means that she ran $\frac{15}{60} = \frac{1}{4}$ of an hour at a rate of 6 miles per hour
The formula that relates distance, time and velocity is:
Distance = velocity * time
Substitute with the givens to get the distance she covered while running:
Distance = 6 * $\frac{1}{4}$ = 1.5 miles

3- getting the total mileage:
Total distance she covered = distance while walking + distance while running
Total distance she covered = 1 + 1.5
Total distance she covered = 2.5 miles

Hope this helps :)

4 0

3 years ago

May i know the answer for this please

Naddik [55]

Answer:

14, 16

Step-by-step explanation:

The prime factorization of 224 is 2⁵ × 7. To make it a perfect square, we need the bases to have an even exponent, therefore we divide it by 2 × 7 = 14 to get 16.

4 0

3 years ago

$10,000 for 20 years at 5% compounded annually

saveliy_v [14]

Answer:

$26532.98

Step-by-step explanation:

Given:

Principal = $10000
Profit rate = 5% PA compounded
Time = 20 years
Compounds = 20*1 = 20

Sum is:

10000*(1 + 5/100)²⁰ ≈ 26532.98

3 0

3 years ago