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4 years ago

I can't figure it out

Mathematics

1 answer:

Tatiana [17]4 years ago

4 0

Answer:

Domain: x ≥ 7

Range: y ≥ -1

Step-by-step explanation:

Domain is the set of x-values that can be inputted into function f(x).

Range is the set of y-values that can be outputted from function f(x).

We know that we can't take a square root of a negative and get a real number. The closest we can get is the square root of zero, no less.

What x-value renders the square root 0? x = 7 does, and we can't go less than that or we will get imaginary numbers. Therefore, the domain is x ≥ 7.

To find the range, we simply solve the rest of the function when x = 7, as we cannot go any lower.

y = 0 - 1

y = -1

Therefore, our range has to be y ≥ -1 because that would be the lowest y-value outputted from the lowest x-value.

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(10-4)+20 divided by 10?

Luba_88 [7]

Answer:

Step-by-step explanation:

(10-4)+20/20

6+20/10

6+2

6 0

3 years ago

Po The diameter of a circular fountain in a city park is 28 feet. A sidewalk that is 3.5 feet will be built around the fountain.

jarptica [38.1K]

Answer:

Area of sidewalk = $346.5 ft^2$

Bags of concrete = 277

Step-by-step explanation:

The diameter of the circular fountain is 28 ft. Radius = 28 / 2 = 14 ft

The thickness of the sidewalk is 3.5 ft. This means they want to add 3.5 ft to each radius of the fountain.

To find the area of the sidewalk alone, we have to find the area of the sidewalk alone and then subtract it from the area of the sidewalk and fountain.

That is:

$A_s = A_{s+f} - A_f$

The fountain is circular and its radius is 14 ft. Hence, its area will be:

$A_f = \pi r^2$

$A_f = \pi *14^2 = 616 ft^2$

The sidewalk and fountain together also form a circular shape. Their joint radius will be:

R = 14 + 3.5 = 17.5 ft

Hence, the area will be:

$A_{s + f} = \pi R^2 \\A_{s + f} = \pi * 17.5 * 17.5 = 962.5 ft^2$

Hence, the area of the sidewalk alone will be:

$A_s = 962.5 - 616 = 346.5 ft^2$

This is the area of the sidewalk.

For every square foot ( $ft^2$ ), 0.8 bag of concrete will be used. This means that for $346.5 ft^2$ :

Bags of concrete = 0.8 * 346.5 = 277.2 ≅ 277

At least 277 bags of concrete will be used for the new sidewalk.

5 0

4 years ago

Please Help!! In a discount store, 12% of the 100 cups in stock have some unnoticeable defect. What is the probability of buying

Shkiper50 [21]

≈Answer:

a)What is the probability of buying 12 cups that don’t have any defect?

0.1955

b) And what is the probability of getting all 12 cups having a defect?

9.52 × 10⁻¹⁶

Step-by-step explanation:

In the question,we are given the following values:

12% of the 100 cups in stock have some unnoticeable defect.

The number of cups that have defect in stock is calculated as:

12/100 × 100 = 12 cups

The number of cups that doesn't have defect is calculated as:

Total number of cups in stock - Number of cups in stock that have defect.

100 - 12 = 88 cups

a) What is the probability of buying 12 cups that don’t have any defect?

Probability Formula = Number of events/ Number or possible outcomes.

The probability of buying cups that don't have any defect =

88/100 × 87/99 × 86/98 × 85/97 × 84/96 × 83/95 × 82/94 × 81/93 × 80/92 × 79/91 × 78/90 × 77/89 = 0.1955138721

Approximately = 0.1955

b) And what is the probability of getting all 12 cups having a defect?

Probability Formula = Number of events/ Number or possible outcomes.

= 12/100 × 11/99 × 10/98 × 9/97 × 8/96 × 7/95 × 6/94 × 5/93 × 4/92 × 3/91 ×2/90 × 1/89

= 9.519991996 ×10⁻¹⁶

Approximately = 9.52 × 10⁻¹⁶

3 0

3 years ago

Someone please help me with 2

Vladimir79 [104]

X equals 41 tell me if you want me to explain how I got it

6 0

3 years ago

A container holds 13 pencils, 5 black pens, and 3 blue pens. What is the ratio, in fraction form, of pens to all writing tools?

maw [93]

Answer:

8/21

Step-by-step explanation:

8 0

3 years ago

I can't figure it out ​

I can't figure it out