how do you write 996 as a fraction, mixed number, or whole number in simplest form?

Answer:

We have

k^2 - 25f^2 + 5kf - 25f^2 =

k^2 - (5f)^2 + 5f( k - 5f) =

( k - 5f )( k + 5f ) + 5f( k - 5f ) =

( k - 5f )( k + 5f + 5f ) =

( k - 5f )( k + 10f );

Step-by-step explanation:

Answer:  The required factored form of the given expression is [tex](k-5f)(k+10f).[/tex]

Step-by-step explanation:  We are given to factor the following quadratic expression :

[tex]E=k^2+5kf-50f^2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

To factor the given expression, we need two integers with sum 5 and product -50 and those two integers are 10 and -5.

The factorization of expression (i) is as follows :

[tex]E\\\\=k^2+5kf-50f^2\\\\=k^2+10kf-5kf-50f^2\\\\=k(k+10f)-5f(k+10f)\\\\=(k-5f)(k+10f).[/tex]

Thus, the required factored form of the given expression is [tex](k-5f)(k+10f).[/tex]

The swimming pool is leaking 1 6/8 gallons of water per hour.

Answer:

1.75 gallons/hour

Step-by-step explanation:

Thinking process:

The leaking amount in a half hour = [tex]\frac{7}{8}[/tex]

The amount of water that leaks per hour = [tex]2 * \frac{7}{8} \\= \frac{7}{4}\\ = 1.75 gallons/hour[/tex]

Simplify 1/3x to x/3

y = -x/3 - 9

Add 9 to both sides

y + 9 = -x/3

Multiply both sides by 3

(y + 9) * = -x

Regroup terms

3(y + 9) = -x

Using the formula, rewrite in standard form

Answer: x + 3y = -27

To convert the equation y = -1/3x - 9 to standard form, you need to eliminate the fraction and rearrange the equation. Multiply both sides of the equation by 3 to get 3y = -x - 27. Rearrange the equation to get x + 3y = -27, which is the standard form.

The equation y = -1/3x - 9 can be written in standard form as Ax + By = C, where A, B, and C are constants. To write the equation in standard form, we need to eliminate the fraction by multiplying both sides of the equation by 3. This gives us 3y = -x - 27. Rearranging the equation, we get x + 3y = -27, which is the standard form.

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I don't know if you accidentally put down the wrong variable, but the answer for h would be h=4. First things first, you have to subtract 100 from both sides, and this would become -15h=-60. After that, divide -15 on both sides, thus it leaves you with h by itself and it's value is 4. h=4

Hope this was helpful:)

The equation is: 7 + (x + 5)

The expression for '7 plus the sum of a number x and 5' is written as '7 + (x + 5)'.

The phrase '7 plus the sum of a number x and 5' can be written as an algebraic expression. This involves taking the sum of the variable x and the number 5, and then adding 7 to this sum. In mathematical terms, this is expressed as 7 + (x + 5).

Let's break it down step by step:

First, identify the sum: x + 5.

Next, add 7 to the result of this sum.

So, if we were to evaluate this expression for x = 4, we would calculate it as follows:

7 + (4 + 5) = 7 + 9 = 16

Because there are 2 minus signs next to each other, we can replace both of them with a single plus sign.

This changes the equation to -7 + 3

Adding to a negative number makes the number appear smaller, so 3 + -7 = -4.

Remove parenthesis

-7=3

Calculate the sum

-4

its's 200 sq feet, I added extra lenghts and the circled numbers are areas for that part of the shape.

Answer:

60 degree

Step-by-step explanation:

adding 1 both sides of equation

2cos x -1+1 = 0.0068 +1

2cosx = 0.9932

dividing by 2 both sides

cosx = 0.9932 / 2

cosx =0.4966

x= cos^-1(0.4966)

x=60 degree

1 ≤ s -8

1+8 ≤ s

9. ≤ s

The value of the variable s is greater than or equal to 9.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The inequality is given below.

1 ≤ s - 8

Simplify the inequality, then the value of the variable s will be

1 ≤ s - 8

1 + 8 ≤ s

9 ≤ s

Thus, the value of the variable s is greater than or equal to 9.

More about the inequality link is given below.

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Answer:

Im pretty sure its graph A

Step-by-step explanation:

Answer:

graph A

Step-by-step explanation:

Answer:

Option C is correct

Step-by-step explanation:

In similar triangles corresponding sides are in same ratio.

Notice that  sides b and q are corresponding ( they are opposite equal angles)  and so are a and p

The correct equation from the option is b/q = a/p. Hence, option C is correct.

To make a proportional relationship from the two triangles ABC and PQR given ;

Express corresponding sides as ratios ;

Using the given sides , the possible proportions are ;

a/p = b/q

b/q = c/r

a/p = c/r

Comparing the ratios with the options given, Only option B gives a correct proportional relationship.

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Answer:

5 adult and 3 student tickets were purchased

Explanation:

Let x be the number of adult tickets

Then 8−x is the number of student tickets

7.25x+5.5(8−x)=52.75

7.25x+44−5.5x=52.75

1.75x=8.75

x=5

Therefore, 5 adult and 3 student tickets were purchased.

greatest number for what

The expression 6a − 3b = 5b after solving for a:b is 4:3 after using arithmetic operation.

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

It is given that:

The expression is:

6a − 3b = 5b

To solve the above expression:

6a = 5b + 3b

6a = 8b

a/b = 8/6

As we know,

The expression can be defined as the combination of constants and variables with mathematical operators.

a:b = 8: 6

a:b = 4: 3

If in the linear expression, one variable is present, then the expression is known as the linear expression in one variabe.

Thus, the expression 6a − 3b = 5b after solving for a:b is 4:3 after using arithmetic operation.

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it depends on how much the turtle and the dog treats are use that like 5 dolor each so im going to say 8 maybe

We are given that

y-scale is a distance in miles

x-scale is a time in hours

and we are given

The graph of the distance a car travels at a constant speed passes through the points (0,0) and (2,136)

so, points would be

(0,0)

x1=0 , y2=0

(2,136)

x2=2 , y2=136

so, slope would be speed

because speed = distance / time

we can use slope formula

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

now, we can plug values

[tex]m=\frac{136-0}{2-0}[/tex]

[tex]m=68[/tex] miles per hour

so, option-B..........Answer

Answer:

B

Step-by-step explanation:

Answer: The antiderivative of [tex]e^{x^{2}}[/tex] is [tex]\sqrt{\pi} \sqrt{e^{x^2}-1} +C[/tex].

Explanation:

[tex]I=\int{e^{x^2}dx}\\I^2=\int{e^{x^2}dx}\int{e^{x^2}dx}[/tex]

Using dawson integral.

[tex]I^2=\int{e^{x^2}dx}\int{e^{y^2}dy}[/tex]

[tex]I^2=\int{\int{e^{x^2+y^2}dxdy}}[/tex]

Put [tex]x^2+y^2=r^2[/tex]

[tex]I^2=\int{\int{e^{r^2}rdrd\theta}}[/tex]

[tex]\int_{0}^{2\pi}{d\theta}\int_{0}^{x}{re^{r^2}dr}[/tex]

Use substitution method and sunbstitute [tex]r^2=t[/tex].

[tex]\int_{0}^{2\pi}{d\theta}\int_{0}^{x^2}{\frac{1}{2}e^tdt}[/tex]

[tex]I^2=\frac{1}{2}|\theta|_{0}^{2\pi}|e^t|_{0}^{x^2}\\I^2=\frac{1}{2}(2\pi)(e^{x^2}-1)\\I=\sqrt{\pi}\sqrt{e^{x^2}-1}[/tex].

Therefore, the antiderivative of [tex]e^{x^{2}}[/tex] is [tex]\sqrt{\pi} \sqrt{e^{x^2}-1} +C[/tex].

(28x^3 + 42x^2 - 35x) / 7x

** keep in mind, when dividing exponents, u subtract the exponents

4x^2 + 6x - 5 <==

mark brainliest plsss

Answer:

[tex]4x^{2} +6x -5[/tex].

Step-by-step explanation:

Given  :  28x³ + 42x² − 35x .

To find : Divide by 7x .

Solution : We have given   28x³ + 42x² − 35x .

Divide by 7x

28x³ + 42x² − 35x ÷ 7x.

Now Distribute 7x over 28x³ + 42x² − 35x to divide the terms.

[tex]\frac{28x^{3}}{7x} +\frac{42x^{2} }{7x} -\frac{35x}{7x}[/tex].

[tex]4x^{2} +6x -5[/tex].

Note : on dividing exponent is subtract.

Therefore, [tex]4x^{2} +6x -5[/tex].

let y = x^2

4y^2 -21y + 20 = 0

solve for y

then substitute back in to get x

Answer:

4y^2 - 21y + 20 = 0

Step-by-step explanation:

As (4x^4 - 21x^2 + 20=0) being a biquadratic equation, meaning it is a 4-degree equation without the terms of degree 1 and 3.

To solve this particular case you only need to replace the variables of degree 4 and 2 for a new variable of degree 2 and 1 and solve it as regular quadratic equation and then undo the change.

* Using a new variable we can rewrite the equation:

Let y be the new variable;

y= x^2, then y^2= x^4

Then we have;

4y^2- 21y+20=0

Solve for y and then find X which will be the roots for the biquadratic equation.

The formula of a midpoint between two points:

[tex]M\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)[/tex]

We have (5, 8) and (-1, 6).

Substitute:

[tex]\dfrac{5+(-1)}{2}=\dfrac{4}{2}=2\\\\\dfrac{8+6}{2}=\dfrac{14}{2}=7[/tex]

Answer: The coordinates of the midpoint of the segment are (2, 7).

V = 1/3 area of base * height

Area of  base = h [(b₁ +b₂)]/2

[(3 + 6) * 4] : 2 =

18 ft²

Volume =

18 * 3 =

54 ft³

*(Step-By-Step)*

[tex]5x+6=5x-9[/tex]        Combine Like Terms

[tex]6=9[/tex]                Subtract [tex]5x[/tex] to both sides

*(Answer)*= No solution because [tex]6[/tex] is not [tex]9[/tex]

Hope this helps

BangtanBoyScouts

Answer:

NO the Earth to Sun distance is 9.3 x 10^7 miles.

Earth to Noon distance is 2.4 x 10^5 miles

9.3 x 10^7 is 387.5 times larger than 2.4 x 10 ^ 5

Step-by-step explanation:

Answer:

31 times bigger is the distance from earth to the sun than the distance from earth to the moon.

Step-by-step explanation:

Given : The distance from the earth to the sun is 9.3×10 to the 6(power) miles. The distance from earth the moon is 3×10 to the 5th(power) miles.

To find : How many times bigger is the distance from earth to the sun than the distance from earth to the moon?

Solution :          

The distance from the earth to the sun is [tex]9.3\times 10^{6}[/tex] miles.

The distance from the earth to the moon is [tex]3\times 10^{5}[/tex] miles.

To know, times bigger is the distance from earth to the sun than the distance from earth to the moon is given by,

[tex]n=\frac{9.3\times 10^{6}}{3\times 10^{5}}[/tex]

[tex]n=3.1\times 10^{6-5}[/tex]

[tex]n=3.1\times 10[/tex]

[tex]n=31[/tex]

Therefore, 31 times bigger is the distance from earth to the sun than the distance from earth to the moon.

Given the speed is 200 km /hr

use 1 km  = 1000 meter

1 hr = 3600 seconds

so

[tex]200 km/hr = \frac{200*1000}{1*3600}   m/s[/tex]

simplifies to

[tex]\frac{5000}{9} m/s[/tex]

[tex]55.6 m/s[/tex]

so option C

Answer:  C) 55.6 m/s  

Step-by-step explanation:  200km/1hr x 1000m/1km x 1hr/60min x 1min/60s = 55.6 m/s

If the conversion factors are properly set up and all numbers are correct, the unwanted units cancel out leaving the units of the final answer.

80 = 3y + 2y + 4 +1

80 = 5y + 5

80 - 5 = 5y

75 = 5y

75 = 5y/5y

75/5 = y

15 = y

Answer:

answer is 9.

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

First, you want the denominators to be the same so you can subtract them.

1/3=2/6

2/6-1/6=1/6

Hope this helped!

396 is the answer since it's closer to the 10's than the 0s