Which of the following equations is used to find the value of c (the distance to the foci) for an ellipse? 

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

separate the factors as products

[tex]\frac{-24}{8}[/tex] × [tex]\frac{x^{4} }{x^{6} }[/tex] × [tex]\frac{y^{3} }{y^{2} }[/tex]

using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex] if m > n

and [tex]\frac{1}{a^{(n-m)} }[/tex] if n > m

= - 3 × [tex]\frac{1}{x^{(6-4)} }[/tex] × [tex]y^{(3-2)}[/tex]

= - 3 ×  [tex]\frac{1}{x^{2} }[/tex] × y = - [tex]\frac{3y}{x^{2} }[/tex]

Answer: 60 Guppies.

Step-by-step explanation: If Ben has 3 times as much guppies as goldfish then it is 3 x 20 which = 60.

40 dollars per 5 students=9 dollars per 1 student

divide both sides by 5.

4. The translation is considered an isometry or rigid motion. The figure's size, shape, area, etc has not changed. The only thing that changed is its position.

5. The rule stated means you shift the point 3 units to the right and 4 units up.

6. The rule would be (x,y) ---> (x-1, y-3) so we effectively subtract 1 from the x coordinate; subtract 3 from the y coordinate

7. Add 2 to the x coordinate to get x+2 = 2+2 = 4. Subtract 1 from they coordinate and we have 5-1 = 4. The point ends up at (4,4). Check out the attached image below.

[tex]-4 < -2(2+7x)+6(x+8)\ \ \ \ |\text{use distributive property}\\\\-4 < (-2)(2)+(-2)(7x)+(6)(x)+(6)(8)\\\\-4 < -4-14x+6x+48\\\\-4 < (-14x+6x)+(-4+48)\\\\-4 < -8x+44\ \ \ \ |+4\\\\0 < -8x+48\ \ \ \ |+8x\\\\8x < 48\ \ \ \ |:8\\\\\boxed{x < 6}[/tex]

the answer is d (i think) because anything aboveboard .90, whether it is positive or negative

Answer: D. There is a strong negative association between the variables.

Step-by-step explanation:

We know that when the value of the correlation coefficient lies between -1 to -.05 , then we say there is strong negative correlation between the variables.

OR

When the value of the correlation coefficient lies between 0.5 to 1, then we say there is strong positive correlation between the variables.

Given : In one study, it was found that the correlation coefficient between two variables is -0.93.

∵ -1< -0.93 <-0.5

Then , it  indicates that there is a strong negative association between the variables.

(h+12) + (p+24)

h+p+12+24 = h+p+36

Answer:

12h + 24p

Step-by-step explanation:

[tex]-\dfrac{2}{5}x-9<\dfrac{9}{10}\qquad|\text{multiply both sides by 10}\\\\10\cdot\left(-\dfrac{2}{5}x\right)-10\cdot9<10\cdot\dfrac{9}{10}\\\\2(-2x)-90<9\qquad|\text{add 90 to both sides}\\\\-4x<99\qquad|\text{change the signs}\\\\4x>-99\qquad|\text{divide both sides by 4}\\\\x>-24.75[/tex]

Assuming a regularly shaped rectangle, the formula for the area is given as:

A = L * W

where L and W are the length and width respectively

A = 3.6 x 10^2 miles * 2.8 x 10^2 miles

A = 100,800 square miles

or

A = 10.08 x 10^2 miles 

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10 cubes for the base

Answer:

Option (D) 10 cubes

Step-by-step explanation:

The given structure is formed by assembling the cubes.

Number of cubes required for upper layer of the structure = 7 cubes

Now we have to find how many cubes will be required to form the lower layer of the structure.

From the structure ⇒

Cubes in lower layer = cubes in upper layer + 3 more cubes

                                  = 7 + 3 = 10 cubes

Therefore, 10 cubes will be required to form the base of the structure.

Option (D) 10 cubes is the answer.

Answer: 3756

Step-by-step explanation:

33 x 100 = 3300

44 x 10   =    440

16 x 1      =      16

Total:         3756

The number represented by 33 hundreds plus 44 tens plus 16 ones is 3756, which is found by adding 3300 (33 times 100), 440 (44 times 10), and 16 (16 times 1) together.

The question involves adding numbers that compose a whole number through place values. In this case, we are looking at hundreds, tens, and ones. To solve this, we add up each group's contribution to the total. We have:

Adding these together:

3300 + 440 + 16 = 3756

So, 33 hundreds plus 44 tens plus 16 ones represents the number 3756.

Lateral area = circumference of circular  end * length

=  pi * diameter * length

= 22 * pi * 9

= 198 pi

= 622.04 ft^2  answer   Its C

it’s not A. colon it didn’t give me an answer

x = ± 3√6

2x² - 6 = x² + 48 ( subtract x² from both sides )

x² - 6 = 48 ( add 6 to both sides )

x² = 54 ( take the square root of both sides )

x = ± √54 = ± 3√6

Remark

If 7/10 do have full or part time jobs then 3/10 do not.

That comes from 1 which represents all the students subtract 7/10 to get 3/10

Solution

Those without jobs = 4900 * 3/10 = 4900 *0.3 =  1470 that do not have any kind of job.

Answer:

36x44 feet are the dimensions of the yard.

Step-by-step explanation:

Given that the blueprint for landscaping a yard has a scale of 1/2" to 1 foot.

i.e. scaling factor is 1/2 for one foot.

If real dimension is 1 foot, it is shown as 1/2 inch in blue print.

Using this we can find the real dimensions if given blue print dimensions.

The blueprint is a rectangle 18inches by 22 inches,

Hence real length of rectangle = 18(2) feet = 36 feet

Width of rectangle = 22(2) = 44 feet

i.e. the yard has dimensions as 36x44 feet.

Given:

Total shelves: 6

Books per shelve: 72

Total books = ?

Solution:

Total books: 6 * 72 = 432

                                                           Total books = 432

Given:

Fiction books = 1/3 of total books

Solution:

Nonfiction books = Total books - 1/3 of total books

                              =   432 - 1/3 * 432

                               = 432 - 166 = 266

                                           Non- fiction books = 266

To find the area of a rectangular shape, we need to have the length and width of the shape.

Here the room is rectangular in shape.

The length of the room is 60 meters and lets say the width of the room is 'w' meters.

The area of room is given which is 2,400 square meters.

The area of rectangle is given by:

[tex]length \times width[/tex]

Now, plugging the values of the length and width, we get:

[tex]Area = 60 \times width[/tex]

[tex]2400= 60 \times width[/tex]

Solving for width, we get:

[tex]Width= \frac{2400}{60} =40[/tex] meters.

So, the width of the rectangular room is 40 meters.

Answer:The answer is

Step-by-step explanation: W= 40 I just did the quiz on I ready

Answer:

Number 1: Evaluate (A)

Number 2: Operator (B)

Final answer:

In mathematics vocabulary, an algebraic expression consists of numbers, operations, and grouping symbols. The symbol for a math operation like plus, minus, times, or equals is called an operator. (Option B)

Explanation:

To answer the student's math vocabulary questions:

Therefore, matching the vocab with the definition would result in:

These terms are fundamental in understanding algebra and performing equation manipulation.

The answer is 2 feet.

Answer:

3

Step-by-step explanation:

For this one, look at the symbols inside each angle.  In math, the rounded edges inside of angles mean they are congruent.  So find which ones have the same amount of rounded edges and that would be your answer.

NKW ≅ UZE

put the corresponding angles in the middle.  Since the object you were comparing to had the one line as the middle point, then that is your middle as well.

Hope this helps! Comment with any questions you may have.

Answer:

[tex]\Delta UZE\cong \Delta NKW[/tex]

Step-by-step explanation:

We have been given a graph of two triangles and we are asked to find the correct congruence statement for our given triangles.

We can see in triangle NKW and triangle UZE.

[tex]EZ\cong WK[/tex],

[tex]\angle ZEU\cong \angle KWN[/tex],

[tex]\angle UZE\cong \angle NKW[/tex].

Since two angles and included side of triangle NKW is congruent to two angles and their included side of triangle UZE, therefore, [tex]\Delta UZE\cong \Delta NKW[/tex] by Angle-Side-Angle congruence theorem.

The measures of two angles have a sum of 90º if and only if the angles are complements.

if the angles are complementary they have to equal 90 otherwise they are not complementary

The measures of two angles have a sum of 90º if and only if the angles are complements.

if the angles are complementary they have to equal 90 otherwise they are not complementary

Answer:

The correct option will be:   c.  8 pieces of wood.

Step-by-step explanation:

Suppose, the number of pieces of wood along each side of the chess board is  [tex]x[/tex]

The area of each piece of wood is given as 1 square inch. So, the length of each piece of wood will be: [tex]\sqrt{1}= 1[/tex] inch.

And the total length of  [tex]x[/tex]  number of pieces of wood will be:  [tex]1x[/tex] inches.

Given that, the area of the chess board is 64 square inches. So, the length of each side will be:  [tex]\sqrt{64}=8[/tex] inches.

Thus, the equation will be.........

[tex]1x=8\\ \\ x=\frac{8}{1}=8[/tex]

So, he should put 8 pieces of wood along each side.

Answer: it will be 8

Step-by-step explanation: because 8×8=64

Answer: Quotient=20 and remainder=15.

Step-by-step explanation:

Here dividend=495 and divisor=24

Step 1) Write easy multiples of 24 such as

24×2=48

24×5=120

24×10=240 and so on...

Step 2) Find the easier multiple of 24 to subtract from 495 .

Let 240 is the easiest one then 495-240=255 and note 10 as first partial quotient.

Step 3)  Again subtracting 240 (as easier one) from 255 and note 10 as second partial quotient,we get 255-240=15 which is our remainder (as it is less than the divisor).

Step 4) add both the partial quotients=10+10=20→ Quotient

The quotient of 495 divided by 24 using partial quotients is 20, and the remainder is 15. This method simplifies the division by subtracting easily computable multiples of 24 from 495.

Nyree wants to divide 495 by 24 using partial quotients, a method where we break down a division problem into simpler pieces that we can solve in our head. For instance, knowing that 24 is close to 25, which is a quarter of 100, can help us simplify the problem. Let's start by subtracting multiples of 24 from 495 until we can subtract no more without going into negatives.

The quotient of 495 divided by 24 is 20, and the remainder is 15. Partial quotients make it easier to handle large numbers by breaking them into smaller, more manageable pieces.

Answer:

5/-1.6<-3 3/10 - (- 7/20)< 5 6/15 + (-2 4/5) < -4.5 X -2.3

Step-by-step explanation:

Answer:

[tex]\frac{5}{-1.6}<-3\frac{3}{10}-(-\frac{7}{20})<5\frac{6}{15} +(-2\frac{4}{5} )<-4.5*-2.3[/tex]

Step-by-step explanation:

In this case we have to calculate the value of each one of the terms and the organize it from the lowest to the highest, this is:

[tex]-3\frac{3}{10}-(-\frac{7}{20})=-2.59[/tex]

[tex]\frac{5}{-1.6} =-3.125[/tex]

[tex]5\frac{6}{15} +(-2\frac{4}{5} )=2.6[/tex]

[tex]-4.5*-2.3=10.35[/tex]

Now we can order the expressions, this is:

[tex]\frac{5}{-1.6}<-3\frac{3}{10}-(-\frac{7}{20})<5\frac{6}{15} +(-2\frac{4}{5} )<-4.5*-2.3[/tex]