What is an equation in standard form of an ellipse centered at the origin with vertex (−7, 0) and co-vertex (0, 5)?

Answers

Answer 1

Answer: Hello,

(x/7)²+(y/5)²=1

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3/14 of 10/9 = 5/21 is this right??

The distance from Jason's House to school is 0.5 Kilometer. What is this distance in meters.

Answers

The distance in meters is 500 meters.

1 kilometer is equal to 1000 meters. In this case, it is only 0.5 kilometers.

So,

0.5 kilometers * 1000 meters/km = 0.5 * 1000 m = 500 meters

Answer pleaseee :)))

Answers

Answer:

m∠XYZ=106°, m∠XWY = 53°

Step-by-step explanation:

XYZ is a central angle, its arc is XY = 106°. so m∠XYZ = mXY=106°

XWY is an inscribed angle, its arc XY = 106°, so m∠XWY =1/2 mXY=1/2*106=

= 53°

Doris put $4000 in a 5year CD paying 6% interest compounded monthly. After 2 years, she withdrew all her money, and as an early withdrawal penalty, she paid back all the interest she made during the first year. How much money was Doris left with? Show your work.

Answers

Answer: Doris was left with $4216.93.

Step-by-step explanation:

Since we have given that

Principal amount = $ 4000

Rate of interest = 6%

He put $4000 in a 5 year CD paying 6% interest compounded monthly.

After 2 years, she withdrew all her money.

so, Amount after 2 years when it is compounded annually.

$A=4000(1+(6)/(12* 100))^(12* 2)\n\nA=4000(1+0.005)^(24)\n\nA=4000(1.005)^(24)\n\nA=\$4508.64$

As an early withdrawal penalty, she paid back all the interest she made during the first year.

$Interest=4000[(1+0.005)^(12)-1]\n\nInterest=\$246.71$

Amount left with Doris is given by

$\$4508.64-\$246.71\n\n=\$4261.93$

Hence, Doris was left with $4216.93.

for APEX it is going to be 4261.93

The value of x is ____ °,and the value of y is____ °. this is really confusing help please..

Answers

Answer:

x is 60, y is 50

Step-by-step explanation:

Let (2x-12) degrees represent the measure of an acute angle. What are the possible values of x?

Answers

Acute angle is an angle measure less than 90 degrees
Right angle is an angle that measure 90 degrees
Obtuse angle is an angle that measure more than 90 degrees.

In the given situation, we need to find the value of x of an acute angle with the given situation
=> (2x-12)
=> 0 < (2x -12) < 90
=> 12 < 2x < 102
=> 6 < x < 51

Let’s check our answer
=> 2 (51- 6)
=> 102 – 12
=> 90
Thus, the value of x = 51 degrees

Which story problem could be solved using the given equation?1/4 × 3/5 = m

Responses

A There is 35 of a box of dog treats in the cupboard. Jill’s dog eats 14 of a box of treats in a week. How many weeks of treats are left in the box for Jill’s dog?

B There is , fraction 3 over 5 end fraction, , of a box of dog treats in the cupboard. Jill’s dog eats , fraction 1 over 4 end fraction, of a box of treats in a week. How many weeks of treats are left in the box for Jill’s dog?

C Christie hiked 14 mile on the trail. Jackie hiked 35 mile farther than Christie. How far, in miles, did Jackie hike on the trail?
Christie hiked , fraction 1 over 4 end fraction, , mile on the trail. Jackie hiked , fraction 3 over 5 end fraction, , mile farther than Christie. How far, in miles, did Jackie hike on the trail?

D Shawn made a poster that has a width of 14 meter and a length of 35 meter. What is the perimeter, of Shawn’s poster?
Shawn made a poster that has a width of , fraction 1 over 4 end fraction, , meter and a length of , fraction 3 over 5 end fraction, , meter. What is the perimeter, of Shawn’s poster?

E In Sophie’s doll collection, 35 of the dolls are in their original boxes. Sophie plans to donate 14 of the dolls in these boxes to charity. How much of her doll collection will Sophie donate to charity?

Answers

Answer: The story problem that could be solved using the given equation is E. In Sophie’s doll collection, 35 of the dolls are in their original boxes. Sophie plans to donate 14 of the dolls in these boxes to charity. How much of her doll collection will Sophie donate to charity?

To solve this problem, we can multiply the fractions 1/4 and 3/5 to find the fraction of the doll collection that Sophie will donate. Using the equation 1/4 × 3/5 = m, we can simplify the fractions by multiplying the numerators and denominators:

m = (1 × 3) / (4 × 5) m = 3 / 20

Therefore, Sophie will donate 3/20 of her doll collection to charity. This fraction can also be written as a decimal or a percentage:

m = 3 / 20 m = 0.15 m = 15%

I hope this helps!

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