plzzzzz hurry. quick ​

Answer:

c

Step-by-step explanation:

The complete equation of the ellipse is \(\frac{(x + 5)^2}{5^2} + \frac{(y - 6)^2}{8^2} = 1\)

The complete question is in the attachment

The given parameters are:

The vertex is represented as (h, k ± a).

So, we have:

h = -5

k + a = 14

k - a = -2

Add the last two equations

2k = 12

Divide by 2

k = 6

Substitute k = 6 in k + a = 14

6 + a = 14

Solve for a

a = 8

The ellipse equation is represented as:

\(\frac{(x - h)^2}{b^2} + \frac{(y - k)^2}{a^2} = 1\)

So, we have:

\(\frac{(x + 5)^2}{b^2} + \frac{(y - 6)^2}{8^2} = 1\)

The ellipse passes through the point (0,6).

So, we have:

\(\frac{(0 + 5)^2}{b^2} + \frac{(6 - 6)^2}{8^2} = 1\)

This gives

\(\frac{5^2}{b^2} + \frac{0}{8^2} = 1\)

Evaluate the quotient

\(\frac{5^2}{b^2} = 1\)

Cross multiply

\(b^2 = 5^2\)

Take the square root of both sides

b = 5

Substitute b = 5 in \(\frac{(x + 5)^2}{b^2} + \frac{(y - 6)^2}{8^2} = 1\)

\(\frac{(x + 5)^2}{5^2} + \frac{(y - 6)^2}{8^2} = 1\)

Hence, the complete equation of the ellipse is \(\frac{(x + 5)^2}{5^2} + \frac{(y - 6)^2}{8^2} = 1\)

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The equation that are equivalent are 3(d+5/3) and 3d+5

Equivalent expressions are expressions that have thesame value even though they look different. If two algebraic expressions are equivalent, then the two expressions will have the same value. Examples are 2(3x + 6 ) and 6x + 6. This equations are equivalent because for any value of x, they will have thesame value.

Similarly, the

For the expression 3(d+5/3) and 3d+ 5. When we open the parentheses for 3(d + 5/3) we get 3d+5.

Therefore for any value of d, 3(d + 5/3) and 3d+ 5 are equivalent.

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Answer:

To solve fractions, you MUST HAVE THE SAME DENOMINATORS WHEN DEALING WITH ADDITION AND SUBTRACTION.

Step-by-step explanation:

For example, 2/3 + 3/6

The denominators in this case have a common denominator which is 6.

All you have to do is multiply the 2/3 by 2 in the numerator and the denominator. Once you do, you'll get 4/6 which you could then add to 3/6 to get 7/6 which would equal 1 1/6 or 7/6 either is fine.

Hope this helps! :)

Answer:

To solve fractions, you MUST HAVE THE SAME DENOMINATORS WHEN DEALING WITH ADDITION AND SUBTRACTION.

Step-by-step explanation:

Answer:

m = 45/7

Step-by-step explanation:

move terms :

49 - 3m - 4m = 4

-3m - 4m = 4 - 49

collect like terms

-7m = 4 - 49

-7 = -45

divide both sides of the equation by -7

= m = 45/7

Answer:

m = 6.43

Step-by-step explanation:

49 - 3m = 4m + 4

1. subtract 4 from both sides

  45 - 3m = 4m

2. add 3m to both sides

  45 = 7m

3. divide by 7

  6.428571429 = m

4. round to nearest hundreths

   6.43

Answer: C) 24

Step-by-step explanation:

first we take down the information given to us

sports shop sells rackets in

4 different weights

2 types of strings

3 grip sizes

Now to get the number of different rackets they could sell, you simply take the  multiplication of the number of racket gripe sizes, the types of strings and different weights they sell

so

4 * 2 * 3 = 24

therefore the sport shop could sell up to 24 different rackets .

Answer:

24

Step-by-step explanation: got it right on my test

The current weight of the truck is given as follows:

3496 kg.

The current weight of the truck is obtained applying the proportions in the context of the problem.

The initial weight of the truck is given as follows:

3796 kg.

The weight removed from the truck is given as follows:

6 x 50 = 300 kg.

Hence the current weight of the truck is given as follows:

3796 - 300 = 3496 kg.

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As per the given percentage, 6.4% of 44.845 is 2.87.

Percentage:

The word percentage refers the number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".

Given,

Here we have the statement "6.4% of what number is 2.87".

Through the given question we have to find the missing number.

Let us consider x be the unknown missing number.

Then the given statement can be written as,

6.4% of x = 2.87

Now, we have to write the given percentage into fraction form, then we get,

6.4/100 of x = 2.87

Here we need the value x so, we have to move the others into right side.

Then we get,

x = 2.87 x 100/6.4

x = 287/6.4

x = 44.845

Therefore, the missing number is 44.845.

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Answer:

School Sucks!

Step-by-step explanation:

Half of this stuff you will never use in real life!

Answer: -2u + 15v

Step-by-step explanation:

Hey there!

Step 1: Expand by distributing terms.

4u - (6u - 15v)

Step 2: Remove parentheses.

4u - 6u + 15v

Step 3: Collect like terms.

(4u - 6v) + 15v

Step 4: Simplify.

-2u + 15v

~I hope I helped you! :)~

Answer:

Expanded: 4u-6u+15v Simplified: -2u+15v

Step-by-step explanation:

To expand, distribute the negative three to the terms in the parentheses by multiplying. Because a negative times a negative is a positive, it becomes plus 15v. To simplify, simply add like terms (the u variables).

The solution of the expression is,

a) 3,724

b) 2,784

We have to given that,

a) Divide 70,756 by 19.

b) Subtract 940 from your answer to part a).​

Now, We can simplify as,

a) Divide 70,756 by 19.

⇒ 70,756 ÷ 19

⇒ 3,724

And, Subtract 940 from your answer to part a).​ that is, 3724

⇒ 3724 - 940

⇒ 2,784

Therefore, The solution of the expression is,

a) 3,724

b) 2,784

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well, the carpet and table set are both 173.95 + 88.08 = 262.03, however Judy is so smashing she got an 18% discount on that, ,so

\(\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{18\% of 262.03}}{\left( \cfrac{18}{100} \right)262.03} ~~ \approx ~~ 47.17~\hfill \underset{discounted~price}{\stackrel{262.03~~ - ~~47.17}{\approx 214.86}}\)

now, let's add the 8% tax to that

\(\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{8\% of 214.86}}{\left( \cfrac{8}{100} \right)214.86} ~~ \approx ~~ 17.19~\hfill \underset{\textit{ total price}}{\stackrel{214.86~~ + ~~17.19}{\approx \text{\LARGE 232.05}}}\)

Given:

For 12 hours of work, david made $168.

To find the required time to make $238.

Since, it is in direct proportion.

We can write it as,

Hence, the required time to make $238 is 17 hours.

Using proportional reasoning, we can predict that there will be 40 red candies in the large bag.

Using proportional reasoning, we can set up and solve the following equation to determine the number of red candies in the large bag:

P = Proportion of red candies in the large bag

R = Red candies in the small bag

R × (33/9) = P

12 × (33/9) = P

P = 40 red candies in the large bag

Therefore, using proportional reasoning, we can predict that there will be 40 red candies in the large bag.

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Given data:

Mean: 41

Variance: 64

1. Find the standard deviation: the standard deviation is equal to the square root of the variance:

2. Find the z-score corresponding to a difference from the mean of 0.88:

3. As the probability could be a mean 0.88 over the mean or 0.88 below the mean, Use a z-score table to find the value corresponding to z=1.1 and z=-1.1:

Find the probability between those z-score values:

13.25 represents the fee for renting a bicycle for 1 day;

13.25 × 5 + 6.5 = Total Cost

Since, helmet's fee does not depend upon days;

 13.25 represents the fee for renting a bicycle for 1 day;

For 5 days; 13.25 × 5 represents the fee for renting a bicycle for 5 days;

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Answer:

324x-1496.3

Step-by-step explanation:

See the link in comments (or if it gets deleted, look up "partial derangement"). The number of ways in which exactly \(k\) items from a pool of \(n\) items can be rearranged such that only these \(k\) items are in their original positions is

\(R(n,k) = \dbinom nk \, !(n-k)\)

where \(!(n-k)\) is the so-called sub-factorial that satisfies the relation

\(!n = \left\lfloor \dfrac{n!+1}e \right\rfloor\)

and \(\lfloor x \rfloor\) denotes the floor or greatest integer function of \(x\), i.e. the greatest integer smaller than or equal to \(x\).

There are 25! ways of handing back exams with no extra constraint.

There are \(R(25,23)\) ways of handing back 23 exams to their original owners and 2 exams otherwise, and

\(R(25,23) = \dbinom{25}{23} \, !(25-23) = 300\left\lfloor\dfrac{2!+1}e\right\rfloor = 300\)

Then the probability of returning 23 exams correctly and 2 exams swapped is

\(\dfrac{300}{25!} \approx \boxed{5.17\times10^{-22}}\)

Given statement solution is :- a) The area of one semi-circle at one end is  58.09 square feet.

b) The area of the garden is 274.42 square feet.

c) The area in square metres is approximately 58.09 square feet.

The area of the garden is approximately 274.42 square feet, and the area in square meters is approximately 25.49 square meters.

a) To find the area of one semi-circle at one end, we need to calculate the area of a complete circle and then divide it by 2. The formula for the area of a circle is A = πr², where A represents the area and r is the radius.

Since the diameter of the semi-circle is equal to the width of the rectangular portion, which is 8.6 feet, the radius will be half of that, which is 8.6 / 2 = 4.3 feet.

Now we can calculate the area of the semi-circle:

A = (π * 4.3²) / 2

A ≈ 58.09 square feet

b) To find the area of the garden, we need to sum the area of the rectangular portion with the areas of the two semi-circles.

Area of the rectangular portion = length * width

Area of the rectangular portion = 18.4 feet * 8.6 feet

Area of the rectangular portion ≈ 158.24 square feet

Area of the two semi-circles = 2 * (area of one semi-circle)

Area of the two semi-circles ≈ 2 * 58.09 square feet

Area of the two semi-circles ≈ 116.18 square feet

Total area of the garden = area of the rectangular portion + area of the two semi-circles

Total area of the garden ≈ 158.24 square feet + 116.18 square feet

Total area of the garden ≈ 274.42 square feet

c) To convert the area from square feet to square meters, we need to know the conversion factor. Since 1 foot is approximately 0.3048 meters, we can use this conversion factor to convert the area.

Area in square meters = Total area of the garden * (0.3048)²

Area in square meters ≈ 274.42 square feet * 0.3048²

Area in square meters ≈ 25.49 square meters

Therefore, the area of one semi-circle at one end is approximately 58.09 square feet. The area of the garden is approximately 274.42 square feet, and the area in square meters is approximately 25.49 square meters.

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1. selection of index number: during the construction of index number it is to be kept in mind that the selection of the index number should be correct accordingly.

2. selection of formula: while the construction of index numbers it is compulsory to select the correct formula for the given question.

3. selection of price: selection of prices should be done accordingly while constructing the index numbers.`

construction of index number is also available in two parts:

1. simple

2. weighted

1. simple: the simple method is classified into simple aggregative and simple relative.

2. weighted: the weighted method is classified into a weighted aggregative and weighted average.

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Answer:

Step-by-step explanation:

Exchange rates are the rates at which one currency can be exchanged for another currency. They represent the value of one currency relative to another currency.

After considering the given data we conclude that the perimeter of the given swimming pool is 23 meters which is Option A.

The perimeter of a rectangle is evaluated by adding up all its sides. For the given case, we possess a rectangle with sides
a = 5m,
b = 8m,
c = 8m and
d = 2m.
Perimeter regarding the swimming pool is evaluated as
a + b + c + d
= 5m + 8m + 8m + 2m
= 23 meters
Hence the option regarding the question which satisfy the perimeter is Option A.
Perimeter the counted  measurement regarding the distance around the outside of a two-dimensional shape. In this system  the length of the outline or boundary of any two-dimensional geometric shape is defined as perimeter .
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The complete question is
If a = 5m, b = 8 m, c = 8 m, and d = 2 m, what is the perimeter of the swimming pool?
A.23 m
B. 32 m
C.29 m
D.34 m

Closed, two-dimensional shapes known as polygons are created by three or more-line segments that only meet at their ends.

A figure that totally resides in one plane is referred to as a plane figure or a two-dimensional figure. Two-dimensional figures are drawn when you sketch, whether by hand or with a computer programme. Two-dimensional models of actual objects can be found in blueprints.

Closed, two-dimensional shapes known as polygons are created by three or more-line segments that only meet at their ends.

Circles, triangles, squares, rectangles, pentagons, quadrilaterals, hexagons, octagons, and other basic 2D shapes include these. All shapes—aside from the circle—are categorized as polygons because they have sides. Regular polygons are those with equal sides and angles on all of their faces.

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Answer:

35 lbs is the final weight

Step-by-step explanation:

20 +23 = 43 lbs

Then they had to remove 8 lbs

43 - 8 =35

35 lbs is the final weight

The contractor has a maximum of 29 hours (rounded down) to complete the job while keeping the total cost under $2000.

To find the number of hours the contractor has for the job while keeping the total cost under $2000, we can use the given cost model equation: C = 43H + 750.

Since the owner wants the total cost to be under $2000, we can set up the inequality:

43H + 750 < 2000

Now, let's solve this inequality for H, the number of hours:

43H < 2000 - 750

43H < 1250

Dividing both sides of the inequality by 43:

H < 1250/43

To determine the maximum number of hours the contractor has for the job, we need to round down the result to the nearest whole number since the contractor cannot work a fraction of an hour.

Using a calculator, we find that 1250 divided by 43 is approximately 29.07. Rounding down to the nearest whole number, we get:

H < 29

Using the cost model equation C = 43H + 750, where C represents the total cost and H represents the number of hours, we set up the inequality 43H + 750 < 2000 to satisfy the owner's requirement of a total cost under $2000.

By solving the inequality and rounding down to the nearest whole number, we find that the contractor has a maximum of 29 hours to complete the job within the specified cost limit.

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Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Answer:

2

Step-by-step explanation:

If we calculate \(\frac{7}{8}\) divided by \(\frac{7}{16}\), then we will get 2, as per linear equation.

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. When this equation is graphed, it always results in a straight line."

Given, two fractions are \(\frac{7}{8}\) and \(\frac{7}{16}\).

Therefor, \(\frac{7}{8}\) ÷ \(\frac{7}{16} = \frac{7}{8}\) × \(\frac{16}{7}\) = 2.

Therefore, \(\frac{7}{8}\) divided by \(\frac{7}{16}\) will give a result 2.

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Answer:

580/24

Step-by-step explanation:

=24.something

Answer:

s= number of small cups sold

l= number of large cups sold

system of equations:

10s+24l = 580

l = 2s

Step-by-step explanation: