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Minchanka [31]
4 years ago
11

A firework is fired vertically into the air at a speed of 100 m/s. The expression −5t2 + 100t + 40 gives the height of the firew

ork after t seconds. Factor this expression.
Mathematics
1 answer:
ladessa [460]4 years ago
3 0

Answer: -5(t^2-20t-8)

Step-by-step explanation:

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Calculate Medicare tax (1.45% of gross pay <br><br> Gross Pay: $576.00
Mkey [24]

Answer: $8.35

Step-by-step explanation:

Given: The amount as gross pay= $576.00

The rate of Medicare tax =1.45%  = 0.0145

Now, to calculate the medicare tax we need to multiply the rate of Medicare tax with the gross pay , we get

\text{Medicare tax=0.0145*Gross Pay}\\\\\Rightarrow\ \text{Medicare tax}=0.0145\times576.00\\\\\Rightarrow\ \text{Medicare tax}=\$8.352\approx\$8.35

5 0
3 years ago
ABC is a triangle. ACD is an isosceles triangle. Find ACB and ABC.
GREYUIT [131]

Answer:

∠ ACB = 128° and ∠ABC = 32°

Step-by-step explanation:

∠ ADC = ∠ CAD (base angles theorem)

∠ ACD = 82° (angles in a triangle add to 180°)

∠ ACB = 128° (angles around a point add to 360°)

∠ ABC = 32° (angles in a triangle add to 180°)

7 0
2 years ago
C. Neilsen reported that children between the ages of 2 and 5 watch an average of 25 hours of television per week. Assume the va
zubka84 [21]

The following information about the mean and standard deviation has been provided:

ц=25, б=3,n=20

We need to compute Pr(X⁻≥26.3).

The corresponding z-value needed to be computed is:

Z=\frac{X-u}{o/\sqrt{n} } =\frac{26.3-25}{3/\sqrt{20}  }=1.9379

Therefor, we get that

Pr(X\geq 26.3)=Pr(Z\geq \frac{26.3-25}{3/\sqrt{20} } )=Pr(Z\geq 1.9379)\\=1-0.9737=0.026

3 0
3 years ago
C: y=2x+7 D: y= 1/2x+7
CaHeK987 [17]
Remember that if lines are parallel, they will have the same slope. Also, the number added or subtracted in the equation is the y intercept, or the y value when the x=0. They gave you the point (0,-7) so really, they just gave you the y intercept. How nice!! That means you just use the same slope as the original and then add -7 to it to get your equation. With that knowledge, you can now easily identify the correct answer!!
4 0
3 years ago
Please help. I’ll mark you as brainliest if correct!
Nesterboy [21]

Answer:

g(x)= 1/4 |x-2| + 1

Step-by-step explanation:

line:

  • g(x)

points on same line:

  • (2, 1) and (6, 2)

slope based on the points

  • m= (2-1)/(6-2)= 1/4

And the line is moved to the right by 2 units:

So the function becomes:

  • g(x)=  1/4|x-2|

Considering movement up by 1 unit as well:

  • g(x)= 1/4 |x-2| + 1

This is the final of equation for the line.

6 0
3 years ago
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