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castortr0y [4]
3 years ago
12

H=-16t^2+368

Mathematics
1 answer:
elixir [45]3 years ago
5 0
The vertex and the t-intercept where t>0, will help solve this problem. Sending the work on the attachment.

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An electrician charges Mr. Speer $300 before sales tax, for wiring his home. (a) What is the amount of sales tax that Mr. Speer
PilotLPTM [1.2K]

Answer: See explanation

Step-by-step explanation:

Your question isn't complete as you didn't give the sales tax percent. In order to solve the question, let's assume that the sales tax is 6%.

(a) What is the amount of sales tax that Mr. Speer has to pay?

This will be:

= Sales tax percent × Amount charged

= 6% × $300

= 6/100 × $300

= 0.06 × $300

= $18

The sale tax is $18

(b) What is the total amount Mr. Speer has to pay?.

The total amount will be the addition of the amount charged and the sales tax. This will be:

= $300 + $18

= $318

4 0
3 years ago
Factor 21c+24.<br> Write your answer as a product with a whole number greater than 1.<br> use ()
Lera25 [3.4K]

Answer:

The required answer as a product with a whole number greater than 1 will be:

21c+24=3\left(7c+8\right)

Step-by-step explanation:

Given the expression

21c+24

Determining the factor

21c+24

  • Rewrite 24 as 3 · 8
  • Rewrite 21 as 3 · 7

so the expression becomes

21c+24=3\cdot \:\:7c+3\cdot \:\:8

Factor out the common term 3

             =3\left(7c+8\right)

Therefore, the required answer as a product with a whole number greater than 1 will be:

21c+24=3\left(7c+8\right)

5 0
3 years ago
Find X. Round to the nearest tenth if necessary.
storchak [24]

Answer:

3.2

Step-by-step explanation:

If there are 2 secont lines intersecting inside a circle like the picture shown, then the theorem tells us that <em>"the product of 2 segments of one secant line is equal to the product of 2 segments of other secant line"</em>

<em></em>

Thus, we can say that:

x * 10 = 8 * 4

10x = 32

x = 32/10

x = 3.2

3 0
3 years ago
How to do this problem?
Anvisha [2.4K]
The measurement are the same. From 2,4,6,8. After you known those equal to 103. You know a line equals 180. So you would do 180-103=77. So from 1,3,5,7 will all be 77 degree.
5 0
3 years ago
Arectangularplotoflandistobefencedinusingtwokinds of fencing. Two opposite sides will use heavy-duty fencing selling for $3 a fo
svlad2 [7]

Answer:

Dimensions of the rectangular plot will be 500 ft by 750 ft.

Step-by-step explanation:

Let the length of the rectangular plot = x ft.

and the width of the plot = y ft.

Cost to fence the length at the cost $3.00 per feet = 3x

Cost to fence the width of the cost $2.00 per feet = 2y

Total cost to fence all sides of rectangular plot = 2(3x + 2y)

2(3x + 2y) = 6,000

3x + 2y = 3,000 ----------(1)

3x + 2y = 3000

      2y = 3000 - 3x

      y = \frac{1}{2}[3000-3x]

      y = 1500 - \frac{3x}{2}

Now area of the rectangle A = xy square feet

A = x[1500-\frac{3x}{2}]

For maximum area \frac{dA}{dx}=0

A' = \frac{d}{dx}(1500x-\frac{3}{2}x^{2}) = 0

1500 - 3x = 0

3x = 1500

x = 500 ft

From equation (1),

y = 1500 - \frac{3}{2}\times 500

y = 1500 - 750

y = 750 ft

Therefore, for the maximum area of the rectangular plot will be 500 ft × 750 ft.

two fencing 3(500+500) = $3000

other two fencing 2(750+750) = $3000

8 0
3 years ago
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