Find the smallest value of $x$ such that $x^2 + 10x + 25 = 8$. [tex]Find the smallest value of $x$ such that $x^2 + 10x + 25 = 8$.[/tex]

Answer:

Either a 45°-45°-90° triangle or an isosceles right triangle depending on the question

Step-by-step explanation:

A triangle that has two 45° angles always has a third angle of 90° making it a 45-45-90 as well as a right triangle.

Answer:

population parameter

Step-by-step explanation:

A population  is said to be category of individuals under study.

A population parameter is a numerical value which provides a summary to a measure of an average or percentage which describes the entire population under a study.

In a Normal Curve, the population parameter can be a population mean or population standard deviation , population proportion which represent the population.

∴

The average SAT score of  1356 in the given study  is a population parameter

Answer:

8 - 14s + 3g

Step-by-step explanation:

None of the terms are like terms so it cannot be simplified

8 is a constant

-14 and 3 are coefficients

s and g are variables

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▹ Answer

8 - 14s + 3g

▹ Step-by-Step Explanation

Since we can't combine like terms, the answer will remain the same as the problem:

8 - 14s + 3g

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

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Answer:

I would not separate the same edges when making a second net. Also,  I would make sure that the result cannot be rotated or flipped so that it is the same  as the first.

Step-by-step explanation:

Taking into account the definition of percentage, the correct option is: 21 percent of her net pay is left for savings.

First of all, the percentage represents a given quantity that establishes relationships between two quantities, using the number 100 as a reference.

That is, the percentage indicates what part of a total represents a quantity.

To obtain the percentage, the division must be made between the portion of the total and the total amount that belongs to the set, whose result is multiplied by 100.

In this case, if Lillie's current monthly net pay and her monthly expenses are $ 387.10, and I assume that the rest of the money is saved by Lillie, then the amount of money saved is $ 490 - $ 387.10 = $ 102.9.

Then:

So, the percentage is calculated as:

percentage= (102.9÷490) ×100

percentage= 0.21×100

percentage= 21%

The correct option is: 21 percent of her net pay is left for savings.

Learn more about percentage with this examples:

Answer:

Step-by-step explanation:

d is directly proportional to the square of a speed v

d = av²

5 = a•10²

5 = 100a

a = 0.05

d = 0.05v²

d = 0.05•70²

d = 0.05•4900

d = 245

Answer:

V = 1/32 yd^3

Step-by-step explanation:

To find the volume

V= l*w*h  where l is length, w is width, and h is height

V = 1/4 * 1/4 * 1/2

V = 1/32 yd^3

Answer:

196.496

Step-by-step explanation:

0.152x726+0.128x673

110.352+86.144

=196.496

Answer:

y=-12+2x

Step-by-step explanation:

The equation was transformed step-by-step to isolate y on one side, and we obtained y = 2x - 12 as the final solution.

Hence, the correct answer is A. y = 2x - 12.

Given is an equation 6x - 3y = 36, we need to solve for y.

To solve the equation 6x - 3y = 36 for y, we need to isolate y on one side of the equation.

Here's the step-by-step process:

Start with the given equation: 6x - 3y = 36

Get rid of the constant term (36) on the right side by subtracting 36 from both sides:

6x - 3y - 36 = 36 - 36

6x - 3y = 0

Divide both sides of the equation by -3 to isolate y:

(6x - 3y) / -3 = 0 / -3

(6x)/(-3) - (3y)/(-3) = 0

-2x + y = 0

Add 2x to both sides to isolate y:

-2x + y + 2x = 0 + 2x

y = 2x

So, the equation was transformed step-by-step to isolate y on one side, and we obtained y = 2x - 12 as the final solution.

Hence, the correct answer is A. y = 2x - 12.

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Answer:

C. 2[tex]\sqrt{29}[/tex]

Step-by-step explanation:

Square root of 116 is 10.7703296

Square root of 29 is 5.38516481, but as it is multiplied by 2, it becomes 10.7703296

Answer:

6,265 votes

Step-by-step explanation:

The residents of a city voted on whether to raise property taxes. The ratios of yes votes to no votes was 5 to 7. If there were 10,740 total votes, how many no votes were there?

Given that :

Ratio of yes votes to no votes = 5 to 7

Yes votes : no votes = 5 : 7

Total votes = 10,740

The actual number of yes votes and no votes can be obtained thus :

Sum of ratio = (5 + 7) = 12

(ratio of vote / sum of ratio) * total votes

Number of no votes :

(Ratio of no votes / total ratio) * total votes

(7 / 12) * 10,740

0.5833333 * 10,740

= 6,265 votes

Number of no votes = 6,265 votes.

Answer:

slope =  4

Step-by-step explanation:

recall that for a linear equation in the form:

y = mx + b,

m = slope of line and b is the y-intercept.

In our case, we are given

y = 4x

If we compare this with the general equation above,

we can see that m = 6 and b = 0

hence slope = m = 4

1) 9.8 cm

3) 194.68 kilo litters

Step By Step Explanation

Sister these questions are related to volume of cylinder.

You need to use this formula πr²h [ Where r is radius and h is height or depth]

_______________________________________

3)

Given:

Diameter = 4m

Therefore radius = 2m

Depth is 31/2 m

To Find:

How many kilo litters will it hold ?

Actually It's asking about Volume.

Solution:

You know, volume = πr²h

[tex] = \pi {(2 \: m)}^{2} \times ( \dfrac{31}{2})m[/tex]

[tex] = 3.14 \times 4 \: {m}^{2} \times \dfrac{31}{2} m[/tex]

[tex] = \: 62 \times 3.14 \times {m}^{3} \sf [\because \: {m}^{3} = kilolitters][/tex]

[tex] = \sf 194.68 \: \: kilolitters[/tex]

_______________________________________

1)

Given:

Diameter = 14 cm

[tex] \sf \therefore \: radius \: = 7 \: cm[/tex]

height = 20 cm

Diameter of other cylinder = 20 cm

[tex] \sf \therefore \: radius = 10 \: cm[/tex]

To Find:

Deep of water in other cylinder

Consider the depth of water be x

Solution:

Volume of water will remain constant in both

So,

[tex]V_1 = V_2[/tex]

[tex] \sf \: \pi {(r_1)}^{2} h_1 = \pi {( r_2 )}^{2} h_2[/tex]

[Eliminating π from both sides]

[tex] {(7)}^{2} \times 20= {(10)}^{2}x[/tex]

[tex]49 \times 20 = 100x [/tex]

[tex]x = \dfrac{49 \times 2}{10} [/tex]

[tex]x = \dfrac{98}{10} \implies \: 9.8[/tex]

Therefore the required value of x is 9.8 cm .

Answer:

5x-4y = -32

Step-by-step explanation:

First write the equation in point slope form

y-y1 = m(x-x1)

y - -2 = 5/4 ( x- -8)

y+2 = 5/4 (x+8)

Multiply each side by 4 to clear the fraction

4( y+2 )= 4*5/4 (x+8)

4y +8 = 5(x+8)

4y+8 = 5x+40

Subtract 4y from each side

8 = 5x-4y +40

Subtract 40 from each side

-32 = 5x-4y

5x-4y = -32

Answer:

The answer is

Step-by-step explanation:

To write an equation of a line given a point and slope use the formula

y - y1 = m( x - x1)

where

m is the slope

( x1 , y1) is the point

From the question

slope = 5/4

point (-8 , -2)

So the equation of the line is

Multiply through by 4

4y + 8 = 5( x + 8)

4y + 8 = 5x + 40

5x - 4y = 8 - 40

We have the final answer as

Hope this helps you

Answer:

a) Arithmetic    yₙ = 3*(n - 1) + 13

b) Geometric   yₙ = 2*5⁽ⁿ⁻¹⁾

Step-by-step explanation:

The formula for the nth term e, of that sequence is; yₙ = 3*(n - 1) + 13 and yₙ = 2*5⁽ⁿ⁻¹⁾

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.

If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:

a, a + d, a +  2d, ... , a + (n+1)d, ...

Its nth term is

T_n = a + (n-1)d

(for all positive integer values of n)

(a) 13, 16, 19

Here,  yₙ = 3*(n - 1) + 13

This is an Arithmetic.

b) 2, 10, 50

Here, yₙ = 2*5⁽ⁿ⁻¹⁾

This is Geometric .  

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Answer:

see below

Step-by-step explanation:

7s + 8s - 6h

7  8 and -6 are coefficients

s and h are variables

We can combine like terms

15s -6h

15 and -6 are coefficients and

s and h are variables

Answer:

Variable Terms:  (Alphabets)

s and h

Constant terms:   (Numbers)

No constants

Coefficient terms:  (Numbers with alphabets)

7 , 8 and -6

9514 1404 393

Answer:

  A.  264 mi³

Step-by-step explanation:

The area of the right triangular base is ...

  A = 1/2bh

  A = 1/2(6 mi)(8 mi) = 24 mi²

Then the volume of the prism is ...

  V = Bh . . . . . where B is the base area and h is the distance between bases

  V = (24 mi²)(11 mi) = 264 mi³

B

Step-by-step explanation:

Might be wrong

Answer:

I hope it will help you.

have a great day . ☺☺

Answer:

Step-by-step explanation:

x = y + 2

(1/3)* (x - 5 ) = (3/7)(y - 5)      Multiply both sides by 3

(x - 5) = 9/7 (y -5)                  Multiply both sides by 7

7(x - 5) = 9(y - 5)                   Remove  the brackets

7x - 35 = 9y - 45                  Add 45 to both sides

7x + 10 = 9y

y = x - 2

7x + 10 = 9(x - 2)

7x + 10 = 9x - 18

7x +10 + 18 = 9x

28 = 2x

x = 14

y = 14 -2

y = 12

Answer:

Step-by-step explanation:

Surface Area of Cylinder = 2πrh+2πr^2

2π(3)(12) + 2π(3)^2

= 282.7 yd^3

answered by g a u t h m a t h

Answer:

Step-by-step explanation:

Answer:

2+n = 8

Step-by-step explanation:

2+ something must equal 8.

8 minus 2 = 6

n=6

Answer:

According to question,

2+ n =8

=) n = 8-2

=) n =6

hope you understand.

Answer:

ol so polygon all sum is 540

we know that pentagon of 5 sides always has sum 540

so 5x = 540

x = 108

as per me ...

Answer:

a) 16, 19, 22, 25, 28, 31, 34, 37, 40

b) 1, 3, 9, 27, 81, 243, 729, 2187

a) Add 3 on every number.

b) Multiply every number by 3.

Answer:

The graph representing the above equation is attached below.

Step-by-step explanation:

The equation that modeled the average number of non-defective refrigerators produced per hour in terms of x, the number of hours of production per day is:

[tex]y=\frac{196-3x}{x}[/tex]

Simplify the expression as follows:

[tex]y=\frac{196-3x}{x}[/tex]

[tex]y=\frac{196}{x}-3[/tex]

The graph representing the above equation is attached below.

On moving the pointer to y = 15, it was determined that the value of x was 10.89.

The point is also plotted on the graph

Answer:

There would be 11 hours of production in a day.

Step-by-step explanation:

Answer:

30 centimeters

Step-by-step explanation:

true

Answer:

how is it possible this is impossible

Answer:

3990/(1.14)=3500

Step-by-step explanation:

interesting puzzle,

total CDs=[tex]39[/tex]

country CDs $c$ is half of rock CDs $r$, $r=2c$

and one fourth of soundtrack $s$ as country CDs , $c=4s$

express in common variable s, $r+c+s=39$

$2(4s)+4s+s=39 \implies s=3$

so $c=12$ and $r=24$

after borrowing 3 rock CDs, there be $21$ rock CDs rest will be same

Answer:

Standard form is Ax + By = C

Step-by-step explanation:

Answer:

The standard form is Ax + Bx = C

Answer:

5 times

Step-by-step explanation:

Jenna wil most likely pull a yellow marble 1/3 of the time, because the total number of marbles is 6, and there are 2 yellow marbles, 2/6 which is 1/3. 1/3 times 15 is 5. So Jenna will most likely pull a yellow marble 5 times.