Find the least number which must be added to each of the following numbers to make them a perfect square. Also find the square root of the perfect square number so obtained: a) 5678

Answer:

sqrt d = 10

d = (10)^2

d = 100

Part b

x^2 = 144

x = 12 or -12

Step-by-step explanation:

Answer:

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

Rectangle =   l*w*h

Cone =   1/3 [tex]\pi[/tex]* [tex]r^{2}[/tex] * h

Pyramid =   1/3 b*h

Step-by-step explanation:

Answer:

363

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 92 and d = - 85 - (- 92) = - 85 + 92 = 7 , thus

[tex]a_{66}[/tex] = - 92 + (65 × 7) = - 92 + 455 = 363

Answer:

363.

Step-by-step explanation:

We see that each term increases by 7.

This is an arithmetic sequence with first term (a1) = -92  and the common difference (d) is 7.

an = a1 + (n - 1)d

a66 = -92 + (66 - 1)7

= -92 + 455

= 363.

Answer:

1600 ft

Step-by-step explanation:

Answer:

median:8 mean:199 that is all i know i might be wrong

Step-by-step explanation:

First, I need to decide what equation this is like.

I believe this is y=mx.

We know that x is typically the input, and m is the constant function.

Y is the output.

So the original function may have been y=200x.

The only difference is now we've been given something to apply to the equation, in place of x.

2. Imagine a cloning machine. Whatever you put in, you get a copy of, and the original thing you put in. Its function would be y=2x. Let's pretend we decided to put three things in; 3 would go where x is.

Y would be the result of 3 copies and their originals, or 2(3).

(6=2(3))

Now, when someone else decides to use the cloning machine, they may put any number in, but the only properties that will change are y and x, not m.

The function will remain y = 2x. Any number could go in place of x, and multiplying x by 2 will give you the y. As long as you have a different value for x, the y will never be the same.

3. So now we have an understanding of what it means, we see that we have been given an x value to insert; an input.

A more practical example could be someting with money. This won't be entirely realistic, because we are dealing with a fraction of a number and another large number.

4. I decided to go with flour. I wanted the 200 to represent pennies, or cents. Before I landed on this, I looked up the cost of flour per pound. I found that the average is .43 dollars, which isn't terribly close to two dollars. But maybe the flour is high quality, so we can stick with that.

5. Seeing that this equation, y=200x, means we are charging 200 cents, or two dollars, we can write a problem from here.

Sylvia is in charge of selling home-harvested flour from an organic farm. She charges two dollars per pound of flower. Today, her next-door neighbors hope to buy a ninth of pound of flour, and they insist on paying with pennies. How many pennies do they need to pay for their order?

Let me know if this helped, or if you have any questions!

Answer:

54 in^2

Step-by-step explanation:

9*12/2=54 in^2

Answer:

54

Step-by-step explanation:

The formula is 1/2*base*height which is 1/2*12*9. This is equal to 54.

hope this helps:)

Answer:

Step-by-step explanation:

Rule for the transformations has been given as,

[tex]T_{(5, -0.05)o\text{R}(0, 180)}(x,y)[/tex] defines the rules as the translation by 5 units right and 0.5 units down followed by rotation of the triangle by 180° about the origin.

In other words,

Rule for translation:

F(x, y) → F"(x + 5, y - 0.5)

Followed by the rotation of 180° about the origin,

Rule of rotation,

F"(x', y') → F'(-x, -y)

Following these rules coordinates of the new triangle F'G'H' can be obtained.

Answer:

I think it is b. Curve

Step-by-step explanation:

The value of x is 13. Therefore, option B is the correct answer.

Given that, EF=7x+9, FG=3x+4 and EG=143.

A line segment is a part of a line that connects two points which are considered to be its endpoints. It is the distance between two points that can be measured.

Now, EG=EF+FG

⇒143=7x+9+3x+4

⇒10x+13=143

⇒10x=130

⇒x=13

The value of x is 13. Therefore, option B is the correct answer.

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Answer:

In 50 years there'll be approximately 3582 elephants.

Step-by-step explanation:

If they are decreasing at a rate of 9% per year, it means it's population by year is:

population(0) = 400000

population(1) = population(0)*(100% - 9%) = population(0)*(91%)

population(2) = population(1)*(91%) = population(0)*(91%)*(91%) = population(0)*(91%)²

population(3) = population(2)*(91%) = population(0)*(91%)²*(91%) = population(0)*(91%)³

And so on, so the number of population as years passes is:

population(n) = population(0)*(91/100)^n

In this case we want to know the population of elephants when n = 50, so we have:

population(50) = 400000*(0.91)^50 = 3582.033

In 50 years there'll be approximately 3582 elephants.

Answer:

What is the length of Side X Z?

✔ 5

What is the length of Size Y Z?

✔ 6

The length of side XZ is 5 units.

The length of side YZ is 6 units.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

To find the length of side XZ, we can use the distance formula, which is:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Substituting the coordinates of X (-2, 4) and Z (3, 4), we get:

[tex]d(XZ) = \sqrt{(3 - (-2))^2 + (4 - 4)^2}\\= \sqrt{5^2 + 0^2}\\= \sqrt{25}\\= 5[/tex]

The length of side XZ is 5 units.

To find the length of side YZ, we can again use the distance formula with the coordinates of Y (3, -2) and Z (3, 4):

[tex]d(YZ) = \sqrt{(3 - 3)^2 + (4 - (-2))^2}\\= \sqrt{0^2 + 6^2}\\= \sqrt(36)\\= 6[/tex]

The length of side YZ is 6 units.

Thus,

The length of side XZ is 5 units.

The length of side YZ is 6 units.

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Answer:

4k(2k² - 5k - 4) + 5(2k² - 5k - 4)

8k³ - 20k² - 16k + 10k² -25k - 20

8k³ - 10k² - 41k - 20

Thus its G

So the right answer is of option G.

Look at the attached picture

Hope it will help you...

Good luck on your assignment

Answer:

-1220703125

Explanation:

The 14th term of the geometric sequence 1 , − 5 , 25 , . . . is (5)¹⁴ after using the geometric sequence formula.

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

It is given that:

The sequence is:

1 , − 5 , 25 , . . .

The above sequence represents a geometric sequence.

Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity,

approaching either infinity or -infinity.

The common ratio = -5/1  = -5

The nth term a(n) = arⁿ⁻¹

The first term a = 1

The nth term a(n) = (5)ⁿ⁻¹

Plug n = 14

The 14th term a(14) = (-5)¹⁵⁻¹

The 14th term a(14) = (5)¹⁴

Thus, the 14th term of the geometric sequence 1 , − 5 , 25 , . . . is (5)¹⁴ after using the geometric sequence formula.

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Answers and Step-by-step explanations:

Let's look at the first row:

cost = _______ + _______ * (monthly payment)

The first blank should be the "down payment" because this is the initial, constant value that is paid. The second blank should be the "number of months" because this way, when multiplied by the actual amount each payment is (monthly payment), then we get the total amount paid during those months.

So, we have:

cost = (down payment) + (number of months) * (monthly payment)

Now for the second row, we just plug in numbers and variables:

335 = 50 + 6 * p

Finally, we can solve for p:

335  = 50 + 6p

6p = 285

p = $47.50

Answer:

Cost = down payment + no. of monthly payments × monthly payment

335 = 50 + 6 × p

285 = 6p

p = 47.5

Answer:

"yes" the triangles are similar

the scale factor going from triangle PQR to triangle ZYK is "2"

Step-by-step explanation:

i just did it :3 good luck!

Answer:

"yes" and "2"

Answer:

multiply 1 1/3 to 3 3/4

Step-by-step explanation:

Answer:

3 2/3

Step-by-step explanation:

If you make the one batch of walnut muffins into a mixed number you get 3 2/3 so that would be how much you would need for the 3 3/4 batches of muffins

Answer:

9.4 = x

Step-by-step explanation:

You are given the hypotenuse and the adjacent side, leading you to use cosine.

Set it up:

[tex]cos48 = \frac{x}{14}[/tex]

Multiply everything by 14, to remove it from the denominator:

[tex]14(cos48 = \frac{x}{14})[/tex]

[tex]14cos48=x[/tex]

Multiply accordingly:

9.36 = x

Round to nearest tenth:

9.4 = x

Answer:

[tex]-\dfrac{11}{12}[/tex]

Step-by-step explanation:

[tex]\dfrac{\frac{5}{8}+\frac{3}{4}}{\frac{-2}{3}-\frac{5}{6}}[/tex]

Find common denominators:

[tex]\dfrac{\frac{5}{8}+\frac{6}{8}}{\frac{-4}{6}-\frac{5}{6}}=[/tex]

[tex]\dfrac{\frac{11}{8}}{\frac{-9}{6}}=[/tex]

[tex]\dfrac{11}{8}\cdot -\dfrac{2}{3}=-\dfrac{11}{12}[/tex]

Hope this helps!

Answer:

108

Step-by-step explanation:

add 90+68+94, which will give you 252. subtract that from 360 because it‘s a quadrilateral and you will get 108 :)

Answer:

64°

Step-by-step explanation:

See the angle is smaller than 108° and it is not 90° so the answer is 64°

Answer:

X = 6

Step-by-step explanation:

Look at the attachment

Answer:

d. no solution

Step-by-step explanation:

y=2x-3

2x=y-3

y=2x+3

Since these are two distinct parallel lines (same slope), they will never meet. Hence, no solution

Answer:

No solution :)

Step-by-step explanation:

Answer:

(2b)

Step-by-step explanation:

Answer:

5/12 - 4/5 = -23/60. You can't simplify -23/60. Hope this is right

Step-by-step explanation:

4/5= 48/60

5/12 =  25/60

25/60-48/60= -23/60

Answer:

One. see it for the ages of 50-59.

Answer:

last one

Step-by-step explanation:

the least is 10. so 10 plus one of the number is always greater than the other number. The max is 62. 62 plus any number is greater than the othe

6 < x < 64

Therefore, option b) is correct.

Step-by-step explanation:

Given :

Two sides of the triangle -- 35 , 29

Solution :

Let y, z and x are the sides of the triangle and given that y = 35 and z = 29.

Then ,

y - z < x < y + z

35 - 29 < x < 35 + 29

6 < x < 64

Therefore, option b) is correct.

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