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2 years ago

8

DUE IN 10 MIN PLEASE HELP When Ter Stegen kicked a soccer ball, it traveled a horizontal distance of 140 feet and reached a heig

ht of 60 feet at its highest point.
A student sketched the graph below to model the situation.

1 answer:

Snowcat [4.5K]2 years ago

8 0

Answer:

B

Step-by-step explanation:

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An initial of the $100 is now valuated at $150. The annual interest rate is 5%, compounded continuously. The equation 100e^0.05=

tangare [24]

Answer:

8 years approximately

The problem (I'm assuming is):

Solve $100e^{0.05t}=150$ .

I put a t in the problem where I suspected it in went.

Step-by-step explanation:

$100e^{0.05t}=150$

Divide both sides by 100:

$e^{0.05t}=\frac{150}{100}$

$e^{0.05t}=1.5$

Rewrite in logarithm form.

$\ln(1.5)=0.05t$

Divide both sides by 0.05:

$\frac{\ln(1.5)}{0.05}=t$

Put left hand side into calculator:

$8.109 \approx t$

$t \approx 8.109$

So about 8 years if I wrote down the equation correctly.

4 0

2 years ago

Read 2 more answers

the equation of a circle in general form is x squared + y squared + 20x + 12 y + 15 equals 0what is the equation of the circle i

Marrrta [24]

Answer: $(x+10)^2+(y+6)^2=121$

Step-by-step explanation:

The equation of a circle in the general form is:

$ax^{2}+by^2+cx+dy+e=0$

The equaton of a circle in standard form is:

$(x-h)^2+(y-k)^2=r^2$

Where the center is at <em>(h, k)</em> and <em>r</em> is the radius

To write the equation of a circle from general form to standard form, you must complete the squaare, as you can see below:

1- Given the equation in general form:

$x^{2}+y^2+20x+12y+15=0$

2- Complete the square:

-Group the like terms and move the constant to the other side.

- Complete the square on the left side of the equation.

- Add the same value to the other side.

Then you obtain:

$(x^{2}+20x)+(y^2+12y)=-15\\(x^2+20x+(\frac{20}{2})^2)+(y^2+12y+(\frac{12}{2})^2)=-15+(\frac{20}{2})^2+(\frac{12}{2})^2\\\\(x+10)^2+(y+6)^2=-15+100+36\\(x+10)^2+(y+6)^2=121$

4 0

2 years ago

Find the sum of the first 6 terms of 3 - 6 + 12 + …

Natalka [10]

Answer:

$S_6 = -63$

Step-by-step explanation:

The sequence above is a geometric sequence.

The common ratio (r) = $\frac{-6}{3} = \frac{12}{-6} = -2$

The common ratio < 1, therefore, the formula for the sum of nth terms of the sequence would be: $S_n = \frac{a_1(1 - r^n)}{1 - r}$

a1 = 3

r = -2

n = 6

Plug in the values into the formula

$S_6 = \frac{3(1 - (-2^6)}{1 - (-2)}$

$S_6 = \frac{3(1 - (64)}{1 + 2}$

$S_6 = \frac{3(-63)}{3}$

$S_6 = -63$

6 0

2 years ago

What is the length of the radius of a circle with diameter AB: A(5, 4) and B(-1, -4)? * A. 10 B. square root 10 C. 5 D. square r

Gwar [14]

Answer:

I think its um B(-1,-4).

5 0

2 years ago

The mass of Jupiter is 1.898 × 10(27) kilograms, and the mass of Saturn is 5.68 × 10(26) kilograms. How much greater is Jupiter'

grandymaker [24]

Just subtract but take care of the power or else you can come up with wrong results !

so first make the power same ;

for Jupiter = 1.898× 10(27) = 18.98 × 10(26)
for Saturn = 5.68×10(26)

so now subtract = (18.98-5.68) × 10(26)
= 13.3 × 10(26)

so the answer is 13.3 ×10(26)
or, 1.33× 10(27)

6 0

2 years ago