8. Find an equation in standard form for the ellipse with the vertical major axis of length 16 and minor axis of length 4

Answer:

4/5

SOH-CAH-TOA

sin = opposite / hypotenuse

Hypotenuse = sqrt(18^2 + 24^2)  = 30

sin 24/30 = 4/5

Step-by-step explanation:

Answer:

sorry I don't know

Step-by-step explanation:

.........

Answer:

31

Step-by-step explanation:

[tex]3+7[/tex] × 4        Multiply first

3 + 28           Then add

31

Answer:

15, 21, 35, 105

Step-by-step explanation:

A composite number is a positive integer that has more than two different factors. For example, composite number include 4, 6, 8, 9, 10, 12, 14, 15, 16, 18...etc.

So, if we multiply 3x5x7=105  

All the factors of 105 are 1, 3, 5, 7, 15, 21, 35, 105. So we just need to figure out the factors that are composite which are

15, 21, 35, 105

The list all the composite factors of K : 15, 21, 35, 105

"It is an integer that has only two different factors 1 and that integer itself."

"It is a method to find the prime factors of a given number."

"It is an integer that has more than two different factors. "

For given question,

The prime factorization of K is:

K = 3 × 5 × 7

This means the number K is, 3 × 5 × 7 = 105

The factors of 105 are: 1, 3, 5, 7, 15, 21, 35, 105.

We need to list all the composite factors of K.

From above factors of 105 we can observe that,

15 has factors 1, 3, 5, 15;

21 has factors 1, 3, 7, 21;

35 has factors 1, 5, 7, 35;

and 105 has more than two factors factors as mentioned above.

This means, the numbers 15, 21, 35 and 105 are composite numbers.

Therefore, the list all the composite factors of K : 15, 21, 35, 105

Learn more about the prime factorization of number here:

https://brainly.com/question/22692933

#SPJ2

Answer:

$1,920

$10,880

Step-by-step explanation:

Amount marlene earns per year = $12,800

Percentage of taxes = 15%

how much money is paid in taxes?

Amount of tax Marlene pays = 15% of $12,800

= 15/100 × $12,800

= 0.15 × $12,800

= $1,920

how much money is left for Marlene to spend?

Amount left for Marlene to spend = Amount marlene earns per year - Amount of tax Marlene pays

= $12,800 - $1,920

= $10,880

Answer:

[tex]a^4-16[/tex]

[tex]\left(a^2\right)^2-4^2[/tex]

[tex]\left(a^2+4\right)\left(a^2-4\right)[/tex]

[tex]=\left(a^2+4\right)\left(a+2\right)\left(a-2\right)[/tex]

------------------------

Hope it helps...

Have a great day!!

Step-by-step explanation:

The difference of squares: a² - b² factors to (a - b) (a + b)

Let x⁴ = (x²)²

Let 16 = 4²

Now by difference of squares x⁴ - 16 factors as (x² - 4)(x² + 4)

The front factor, (x² - 4), can factor by difference of squares again as (x - 2)(x + 2)

Answer:

[tex]\frac{28}{9}[/tex]

Step-by-step explanation:

[tex]\frac{-3}{11} +\frac{5}{9}[/tex]

[tex]=\frac{-27}{99} +\frac{55}{99}[/tex]

[tex]=\frac{-27+55}{99}[/tex]

[tex]=\frac{28}{99}[/tex]

Answer:

12.25 [tex]\leq[/tex] x < 12.35

Step-by-step explanation:

5 is the cut off when rounding.

If a number to the right is greater than or equal 5, you round up.

If it's less than 5, you drop the number.

So 12.25 would be rounded up to 12.3

12.34 would be rounded to 12.3

How do you get the 12.25?

Subtract .05 from 12.3

How do you get 12.35?

Add .05 to 12.3.

The number in the hundredths place needs to be less than 5 to round down. That's why you use less than symbol.

Answer:

(10, - 1 )

Step-by-step explanation:

Given the 2 equations

x - 3y = 13 → (1)

x + 2y = 8 → (2)

Rearrange (1) making x the subject by adding 3y to both sides

x = 3y + 13 → (3)

Substitute x = 3y + 13 into (2)

3y + 13 + 2y = 8

5y + 13 = 8 ( subtract 13 from both sides )

5y = - 5 ( divide both sides by 5 )

y = - 1

Substitute y = - 1 into (3) for corresponding value of x

x = 3(- 1) + 13 = - 3 + 13 = 10

solution is (10, - 1 )

Answer:

105.

Step-by-step explanation:

.

Answer:

f = m+h

Step-by-step explanation:

just add h to both sides of the equation to isolate f.

Hope this helps!

Answer:

[tex]P(x = 3) = 0.048[/tex]

Step-by-step explanation:

Given

[tex]n = 10[/tex]

[tex]p=59\% = 0.59[/tex]

Required

[tex]P(x = 3)[/tex] --- probability that 3 are afflicted

This question illustrates binomial probability and it is calcuated using:

[tex]P(x) = ^nC_x * p^x * (1 - p)^{n-x}[/tex]

So, we have:

[tex]P(x = 3) = ^{10}C_3 * 0.59^3 * (1 - 0.59)^{10-3}[/tex]

[tex]P(x = 3) = ^{10}C_3 * 0.59^3 * 0.41^7[/tex]

[tex]P(x = 3) = 120 * 0.59^3 * 0.41^7[/tex]

[tex]P(x = 3) = 0.048[/tex]

OPTION C

The graph is continuous because there can be fractional values for time

Answer:

(C) The graph is continuous because there can be fractional values for time.

Step-by-step explanation:

There can't be a negative altitude because when it reaches the ground, it has a altitude of zero and can't go further down. However, it's not B because a discrete graph would also mean there would be set times (represented by points on the graph) of the hot air balloon moving. This isn't true, because the hot air ballon moves as time continues, even fractional time values.

So it's C, "The graph is continuous because there can be fractinoal values for time".

Hope it helps (●'◡'●)

Answer:

120

Step-by-step explanation:

calculator

Answer:

[tex] \frac{3 {x}^{2} }{ {y}^{2} {z}^{6} } [/tex]

Step-by-step explanation:

I have attached the explanation above. hopefully this will help

Answer:

Domain: {-3, -1, 1}

Range: {-1, 2, 4, 5}

Step-by-step explanation:

The domain is all the x-values, and the range is all the y-values. When listing values, repeated values are only written down once.

Answer:

1) 3000 + 125m

2) 3000 + 125m = 5000

3) M= 16

4) It would take 16 months

Step-by-step explanation:

Okay so no since there are no other transaction and you already have a balance of 3000 with a monthly Fee of 125 the equation shpuld be like this.

So every month you add 125,we dont know how much months we have to pay so we can use the variable given to us in this case “M”. So your base expression should look like this,

3000 + 125m (3000 base fee that doesnt change, and 125 every month fee)

Then it asked us to put it as the final balance as 5000, so using the base expression we can do this

3000 + 125m = 5000

Now to solve it you would solve it like any other equation

5000-3000=2000

2000=125m

2000/125= 16

Okay so m = 16

M in this case stands for months so the final answer would be it would take 16 months to reach the final balance of 5000

Answer:

a on edge

Step-by-step explanation:

Answer:its Graph C

(According to the law of Nicoloas Sadi Carnot)

Answer:

Volume of the cone given rounded to two decimal places is 1415.65in

Explanation:

Volume of a cone

[tex] = \pi {r}^{2} \frac{h}{3} [/tex]

[tex] = (3.14)( {9.9}^{2} )( \frac{14}{3} )[/tex]

[tex] = 3.14 \: \times \: 98.01 \: \times \: 4.6[/tex]

[tex] = 1415.65644[/tex]

Answer:

were is the problem

Step-by-step explanation:

Answer:

€1.39

Step-by-step explanation:

£0.72 ÷ 0.72 = 1÷0.72

£1= €1.39

Answer:

Step-by-step explanation:

They appear to be linear so that's easy enough to find out. What we are being asked is to find the equation represented by each table. Knowing that they are linear, we need the slope of each one and then the y-intercept of each one (each "one" being each table). Let's begin with the y-intercept. The y-intercepts exist where x = 0. In the first table, where x = 0, y = -4; in the second table, where x = 0, y = 3.

The equation we will finally fill in is y = mx + b, where m is the slope and b is the y-intercept.

Solving for slope in the first table:

[tex]m=\frac{-4-(-7)}{0-(-1)}=\frac{3}{1}=3[/tex] and the equation for this table is

y = 3x - 4

Solving for the slope in the second table:

[tex]m=\frac{3-4}{0-(-1)}=\frac{-1}{1}=-1[/tex] and the equation for this table is

y = -1x + 3 or just y = -x + 3

That's the system, which happens to be choice D

Answer:

It takes 1/8 of an hour for the student to bike to school.

Step-by-step explanation:

We want to find 1/6 of 3/4, as that is how long it takes her to ride to school. When taking one fraction of another, we can multiply them. We can apply this to get

1/6 * 3/4 = 3/24 = 1/8.  This means that it takes 1/8 of an hour for the student to bike to school.

In between 2000 and 90000

Don't use a 2

Answer:

21 + x < 28

Step-by-step explanation:

27 is in fact greater than 28 if you where to input 6 into the x spot, this is the only one that's a true expression.

Given:

The graph of an exponential function.

To find:

The exponential growth factor as x increases by 1 unit.

Solution:

From the given graph, it is clear that the exponential function passes through the points (1,1) and (3,9). So, the equation of the exponential must must be satisfy by these points.

The general exponential function is:

[tex]y=ab^x[/tex]                 ...(i)

Where, a is the initial value and b is the growth factor.

Putting [tex]x=1,y=1[/tex] in (i), we get

[tex]1=ab^1[/tex]                  ...(ii)

Putting [tex]x=3,y=9[/tex] in (i), we get

[tex]9=ab^3[/tex]                  ...(iii)

Divide (iii) by (ii).

[tex]\dfrac{9}{1}=\dfrac{ab^3}{ab}[/tex]

[tex]9=b^2[/tex]

[tex]3=b[/tex]

b is the the growth factor and the value of b is 3.

Therefore, the exponential growth factor is 3 as x increases by 1 unit.

Answer:

exponential growth factor is 3

Step-by-step explanation:

Answer:

x = 4 degrees

Step-by-step explanation:

The two angles have the same measurement. They are opposite angles.

26x + 7 = 31x - 13

Group like terms:

26x - 31x = -13 - 7

-5x = -20

x = 4

Check if you want to make sure.

Step-by-step explanation:

[tex]here \: is \: your \: solution : - \\ \\ both \: angles \: are \: equal \: (vertical \: anges) \\ \\ 26x + 7 = 31x - 13 \\ \\ solving \: the \: equation \: \\ \\ 26x - 31x = - 13 - 7 \\ \\ - 5x = 20 \\ \\ x = -20 \div 5 \\ \\ x = \: 4 \: degrees \: \: \: \:(Answer ✓✓✓( \\ \\ \huge\mathcal\blue{happy \: life (. ❛ ᴗ ❛.) }[/tex]