Can someone please help me with this easy math problem?

The equation of the horizontal ellipse is [tex]\frac{x^2}{144}+\frac{y^2}{100}=1[/tex]

Ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the sum of the two distances to the focal points is a constant.

The standard form of an ellipse with horizontal major axis is:

[tex]\frac{x^2}{a^2}+\frac{y^2}{b^2}=1[/tex]

Where a > b

since a = 12, b = 10, hence:

[tex]\frac{x^2}{12^2}+\frac{y^2}{10^2}=1\\\\\frac{x^2}{144}+\frac{y^2}{100}=1[/tex]

The equation of the horizontal ellipse is [tex]\frac{x^2}{144}+\frac{y^2}{100}=1[/tex]

Find out more on ellipse at: https://brainly.com/question/19507943

Answer:

9

Step-by-step explanation:

The coefficient is always the number before the variable (X).

Answer:9

Step-by-step explanation:

The coefficient is always by the variable (the number or letter)

Answer:

V=113.04mL

Step-by-step explanation:

The question is asking us to find the volume of a cylinder in mL. For this, we can use the equation V=[tex]\pi r^{2} h[/tex].

We know the diameter, 4cm, and the height, 9cm.

In order to solve, we must first find the radius.

r=1/2d

r=1/2(4)

r=2cm

We can now plug this into our equation.

V=[tex]\pi r^{2} h[/tex]

V=[tex]\pi (2)^{2} (9)[/tex]

V=[tex](3.14)(2)^{2} (9)[/tex]

V=113.04mL

Answer:

Lily has 7 Quarters and 10 Dimes

Step-by-step explanation:

Let's use pennies instead of $.

Let D and Q stand for the numbers of Dimes and Quarters, respectively.

We are told that there are 17 coins total:

  D + Q = 17

We also learn that they amount to 275 (pennies).  We can write that as:

10D + 25Q = 275  [Each D is worth 10 pennies, etc.]

We have two equations and two unknowns.  We can rearrange one equation to find the value of either of the unknowns, and then use that it the second equation.

I'll rearrange the first:  

 D + Q = 17

  D = 17 - Q

Now use this value of D in the second equation:

10D + 25Q = 275

10(17-Q) + 25Q = 275

170 - 10Q + 25 Q = 275

15Q = 105

Q = 7  :  7 Quarters.

Since D + Q = 17:

D + 7 = 17

D = 10 Dimes

==========================================

Let's check these results:

Q = 7 Quarters

D = 10 Dimes

1.  Is this 17 coins in total?  (7+10 = 17)  YES

2.  Does this add to $2.75?  (10*10) + (7*25) = 275 cents?

 (100 + 176) = 275 (cents)   YES

============================

Lily has 7 Quarters and 10 Dimes

Answer:

12x² + 15x

Step-by-step explanation:

(3x × 4x) + ( 3x × 15)

Answer:

(3x) (X 4+5)

3x×(x×4+5)

3x×(4x+5)

12x^2+15x answer

Answer:

3/8

Step-by-step explanation:

simply multiply 1/8 by 3/1

3X1 is 3 and 8X1 is 8 so 3/8

Answer:

A.32

Step-by-step explanation:

Answer:

Step-by-step explanation:

The weight of an object on Moon is 6 times smaller than same on Earth.

If it weights 18/5 kg on Earth then its weight  on Moon is:

Answer:

Solution given:

weight of moon=1/6 th of Earth

If weight of Earth is 18/5 kg

weight of moon=?

we have

weight of moon: 1/6 of weight of Earth

=1/6*18/5

=3/5kg

Its weight on moon is 3/5 kg

Answer:

42$

Step-by-step explanation:

Since she earns 28 $ in 4 hours

Let the hour : X

4x=28

X=28/4

X=7

Since the question want 6 hours

Then she earns

6x7=42$

Answer:

72/4=18 with remainder of 3 peices given to her mom

Step-by-step explanation:

Answer:

hard

Step-by-step explanation:

you're correct

Answer:

X = Y times 8

Step-by-step explanation:

You need to figure out how many miles you can go in an hour.

160/x and 20/1

20x=160

x=8

You can go 8 miles in 1 hour.

Therefore, if X is 1 and Y is 1

1 = 8

1 hour equals 8 miles

Answer:

1410

Step-by-step explanation:

Selling Price= 39100

Buying Price= 37690

Profit= Selling Price - Buying price

=39100-37690

=1410

His  profit: ₹39,100 - ₹37,690 = ₹1,410

=> [tex]\frac{1,410}{37.690}[/tex] × 100% ≈ 3.75% (than the original price)

His profit is 3.75% than the original price

ok done. Thank to me :>

Answer:

40

Step-by-step explanation:

16/40×100

= 1600/40

= 160/40

= 40

Therefore, the chance of getting a 5 or 6 in the next turn is about 40%.

Hoped this helped

[tex]BrainiacUser1357[/tex]

Answer:

the initial height of water.

Step-by-step explanation:

when time equals zero, no water has been drained.

the volume of the tank is unknown however the volume in the tank is 12 at time zero

Answer:

use the formula y=mx+c

Step-by-step explanation:

m is the gradient

c is the y axis intercept

Based on the various probabilities of outcomes, the expected value of the investment is $2,400

The expected value can be calculated as:

= ∑ (Probability of event happening x Payoff if event happens)

The expected value here is therefore:

= (50% x 8,000) + (40% x -4,000) + (10% x 0)

= $2,400

In conclusion, the expected value is $2,400.

Find out more at https://brainly.com/question/13412627.

Step-by-step explanation:

part A

all listed features (A - F) are correct and to be selected.

part B

the average rate of change is

(f(x2) - f(x1)) / (x2 - x1)

so,

(f(0) - f(-2)) / (0 - -2) = (2 - 0) / (0 + 2) = 2/2 = 1

Answer:

theta is eq to 36.86 value is. 0.5998+0.8=1.399

Answer:

a is greater than or equal to 140

Step-by-step explanation:

Multiply both sides by 7, which cancels out the 7 and turns 20 into 140

Answer:

ellipse? x = â’4. 25 and x = 8. 25 x = â’3. 25 and x = 9. 25 y = â’4. 25 and y = 8. 25 y = â’3. 25 and y = 9. 25.

Answer:

Step-by-step explanation:

 y - y0 = m(x - x0)

y - (-8) = (-1/2)(x - 4)

 y + 8 = (-1/2)x + 2

 y = (-1/2)x - 6  or  (1/2)x + y = -6

Answer: the height of a triangle can be determined in many different ways depending on whether it's a right triangle, isosceles triangle (a triangle with two equal sides), or equilateral triangle.

Step-by-step explanation:

Step-by-step explanation:

The formula for the Area of a triangle is A = (1/2)bh where b is the base an h is the height. Since the triangle is a right triangle, the base and height are the two shorter sides

The given question can be solve using quadratic formula.

The correct option is (c) [tex]3x^2 +8x -10=-8[/tex].

Given:

The given equation is,

[tex]x=\dfrac{-8\pm\sqrt{8^2-4(3)(-1)}} {2(3)}[/tex]---------------------------(1)

Write the general quadratic equation.

[tex]ax^2 + bx +c=0[/tex]

Write the quadratic formula.

[tex]x =\dfrac {-b \pm \sqrt{(b^2 - 4ac)} } {2a}[/tex]------------------------------- (2)

Compare equation (1) and (2).

[tex]a=3\\b=8\\c=-2[/tex]

Substitute the value of [tex]a[/tex], [tex]b[/tex] and [tex]c[/tex] in general quadratic.

[tex]3x^2 +8x -2=0[/tex]

Subtract [tex]8[/tex] from each side of above equation.

[tex]3x^2 +8x -2 -8=0-8\\3x^2 +8x -10=-8[/tex]

Thus, the correct option is (c) [tex]3x^2 +8x -10=-8[/tex].

Learn more about quadratic equation here:

https://brainly.com/question/17177510

Answer:

To get the same total number of slices of each type of cake, the answer must be the LCM (lowest common multiple) of 7 and 9.

Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70...

Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90...

As you can see so far, 63 is the lowest common multiple of both 7 and 9.

Thus, the answer is 63

Answer: 63 ( but give the person above me brainliest because they explained it better )

Step-by-step explanation:

If the cakes have the same amount of slices then we must find the lowest common multiple which is 63

So both cakes have 63 slices

Using the Central Limit Theorem, it is found that the shape of [tex]\bar{x}[/tex] is approximately normal.

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

In this problem, the distribution is not normal, however the sample size is of 100 > 30, hence the Central Limit Theorem is applicable and the shape of [tex]\bar{x}[/tex] is approximately normal.

To learn more about the Central Limit Theorem, you can take a look at https://brainly.com/question/4086221

Answer:

C. 2:5

Step-by-step explanation:

You can divide both side of the ratio 20:50 by 5 which leaves you with 4:10. You can simplify it again by dividing it by 2 and get 2:5