If x is the principal square root of 7, what must be true.

A. x = 7², and x is negative

B. x² = 7, and x is positive

C. x = 7², and x is positive

D. x² = 7, and x is negative ​

Answers

Answer 1

Answer:

B

Step-by-step explanation:

x=√7

squaring

x²=7


Related Questions

Need help will mark Brainliest

Answers

Answer:

40

Step-by-step explanation:

You know that angle m<SRT is 40, because it's a supplementary angle with 140. 180 - 140 = 40.

Next, you also know that the interior angles of a triangle add up to 180, so you would now make an equation adding all three angles and setting them equal to 180.

40 + 3x + 4 + 8x + 4 = 180

You would now add like terms.

11x + 48 = 180

You would now subtract 48 from both sides.

11x = 132

You would now divide both sides by 11.

x = 12

You would now plug x into m<RST, 3x + 4.

3(12) + 4 = m<RST

36 + 4 = m<RST

40 = m<RST

Dale has written too many checks and his bank balance is –42.68. The bank will charge him an overdraft fee of $25. How much does he need to deposit so that his bank balance will be $50?

Answers

Answer:

$117.68

Step-by-step explanation:

You have to add them all together, because if he has a negative amount, he first needs to get that to 0. He then pays the overdraft fee, keeping him at 0. Lastly, he pays $50 to put it into his account. Good luck!

The random variable X is the number of siblings of a student selected at random from a particular secondary school. Its probability distribution is given in the table. Find the standard deviation of the random variable. Round to three decimal places. x 0 1 2 3 4 5 P(X= x) 11 7 3 1 1 1 48 24 16 6 12 24

Answers

Answer:

1.41

Step-by-step explanation:

Given the table :

X : _____0 ___ 1 ____ 2 ____ 3 ____ 4 ____5 P(X= x)_ 11/48_7/24_ 3/16____1/6___ 1/12 __1/24

The standard deviation = √var(x)

The Variance : Var(X) = (Σx²*p(x)) - μ²

μ = E(X) = Σ(X * p(x)) :

Σ(X * p(x)) = (0*(11/48))+(1*(7/24))+(2*(3/16))+(3*(1/6))+(4*(1/12))+(5*(1/24))

μ = 1.70833333

Var(X): [(0^2*(11/48))+(1^2*(7/24))+(2^2*(3/16))+(3^2*(1/6))+(4^2*(1/12))+(5^2*(1/24))] - 1.70833333^2

= 4.9166667 - 2.9184027663889

Std (x) = √1.9982639336111

Std (x) = 1.4135996

Std (x) = 1.41

Answer:

The Standard deviation of the random variable is 1.414.

Step-by-step explanation:

We Know,

Standard deviation= [tex]\sqrt{variance}[/tex]

Variance is given by:

[tex]Var(X)=E(X^{2} )-E(X)^{2}\\[/tex]

Given,

[tex]x = 0\ 1\ 2\ 3\ 4\ 5\\P(X=x)= \frac{11}{48} \ \frac{7}{24} \ \frac{3}{16}\ \frac{1}{6}\ \frac{1}{12}\ \frac{1}{24} \\[/tex]

[tex]E(X)=[/tex]∑ [tex]x*P(X)[/tex]

[tex]E(X) = 0+ 1*\frac{7}{24} + 2*\frac{3}{16} + 3*\frac{1}{6} + 4*\frac{1}{12} + 5*\frac{1}{24}\\= 1.7083[/tex]

[tex]E(X^{2} ) =[/tex][tex]0+ 1^{2} *\frac{7}{24} + 2^{2} *\frac{3}{16} + 3^{2} *\frac{1}{6} + 4^{2} *\frac{1}{12} + 5^{2} *\frac{1}{24}[/tex]

[tex]= 4.9167[/tex]

So,

[tex]Var(X)= 4.9167- 1.7083^{2}[/tex]

[tex]= 1.99841\\\\Hence, Standard Deviation= \sqrt{1.99841} \\\\ Standard Deviation= 1.413( (upto 3 decimals)[/tex]

Learn more: https://brainly.com/question/14668395

BRAINLIEST FOR CORRECT ANSWER!
At a sale, dresses were sold for $24 each. This price was 12% of a dress's original price. How much did a dress originally cost?

Answers

Answer:

$200

Step-by-step explanation:

To find the original price, divide the price by 0.12:

24/0.12

= 200

So, the dress originally cost $200

Answer:

$200.

Step-by-step explanation:

To find the original price, divide the discounted price by 0.12.

$24 ÷ 0.12% = $200

The dress originally cost $200.

Rachel worked 2.5 hours on Monday, 3.5 hours on Tuesday, 2 hours on Thursday, and 5 hours on Saturday. She is paid $10.66 per hour. How much money did Rachel earn that week?

Answers

Answer:

$138.58

Step-by-step explanation:

You would first set up an equation. You want to know how much money Rachel earned that week, so let's refer to that by using variable t for total money earned this week.

Next, we also know that Rachel is paid 10.66 per hour, so we'll be multiplying it by the number of hours she worked this week. This allows us to set our equation up as follows:

10.66(2.5+3.5+2+5) = t

You would now add like terms.

10.66(13) = t

You would now multiply 10.66 and 13(total number of hours worked this week).

This would get us 138.58, or the total numnber of money Rachel earned this week.

3÷x-1-3÷x+1=4 solve this equation in in quadratic equation

Answers

Answer: that equation is wrong because ever time I put the equation in the calculator it would not give me the answer, and it will tell me that We think you wrote this 3-:x-1-3-:x+1=4.

may you write the equation a little please, not to mean or anything but it would not give me the answer.

Answer:

no solution

Step-by-step explanation:

match each statement to the reasons for the geometric proof. Part 3​

Answers

9514 1404 393

Answer:

  4 1 5 3 6 2

Step-by-step explanation:

The general approach to this proof is to show the triangles created by the diagonal are congruent. Then, parts of those triangles (opposite sides) are congruent. The congruence of the triangles is shown by making use of the fact that alternate interior angles are congruent, and the diagonal is congruent to itself. Thus, you have two angles and the side between shown as congruent, and can invoke the ASA postulate.

The steps of the proof (1 to 6) are already in order. The task is to find the geometric relation the step is describing from the list on the left.

__

Statements A to F on the left match with numbered statements 1 to 6 on the right as follows:

A - 4 (reflexive prop)

B - 1 (given)

C - 5 (ASA)

D - 3 (alt int angle)

E - 6 (the end point of the proof)

F - 2 (definition)

j
— + 7 = -12
-2

what is the answer​

Answers

j= 30

30/-2 + 7=12
——————

Answer:

j=38

Step-by-step explanation:

j

— + 7 = -12

-2

move the (7) to the other side by subtracting,

-12-7= 19

j

—  = -19

-2

continue by moving (-2) to the other side as well, do so by multiplying,

-19*-2= 38

therefore, j=38

Find the area of a circle with a radius of 11 inches

Answers

Answer:

A ≈ 380.13in²

Or A= 379.94in²

Step-by-step explanation:

Formula for area:

A = π r²

A=π ·11² ≈ 380.13in²

If π is used as 3.14 then

A=3.14·11² = 379.94

Is the equation a linear function or nonlinear function?
y = 0.5x – 1

Answers

Answer:

Linear.

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

y = 0.5x - 1

Step 2: Compare

y = mx + b

y = 0.5x - 1

m = 0.5

b = -1

The equation is a linear function. It's proportional.

Algebra!!!
3 Questions Only take if you know ALL Answers
PLZZZ QUICK

Answers

Answer:

1. -7.5

2. $1

3. 40

Step-by-step explanation:

For number 1, it can be solved by using the PEMDAS method, or see explanation below:

6x - 4x - 36 = 6 - 2x

2x - 36= -2x + 6

4x + 36 = 6

4x = -30

x = -15/2 or -7.5

For number 2, substitute 3 into both equations:

f(x) =1.50(3) + 2.00

and

f(x) = 2.00(3) + 1.50

This would get $6.50 and $7.50, which, if subtracted, gets $1.

For number 3, do something similar to the previous problem. Substitute 3 for x. It would be 5(2^3), or 40.

Hope this helps!

What does it mean when the x- coordinate or y-coordinate of a point is 0 ?

Answers

Answer:

The center of the coordinate system (where the lines intersect) is called the origin. The axes intersect when both x and y are zero. The coordinates of the origin are (0, 0). An ordered pair contains the coordinates of one point in the coordinate system.

Step-by-step explanation:

Answer: x, y coordinates are horizontal and vertical

Step-by-step explanation:

Taylor had 100 pieces of Lego in her collection, but she lost 15 pieces. What
percent did she lose?

Answers

Answer:

15%

Step-by-step explanation:

Percent is (usually) out of 100. So since the unit is already 100 you can just look at how much she did lose. (^-^)

For the following quadratic equation, find the discriminant.
5x^2– 10x – 255 = 0
please help meee

Answers

Answer:

5200

Step-by-step explanation:

STEP 1: The discriminant of a quadratic is the expression inside the radical of the quadratic formula.

[tex]b^2-4(ac)[/tex]

STEP 2: Substitute in the values of a, b, and c.

[tex](-10)^2-4(5)(-255)[/tex]

STEP 3: Evaluate the result to find the discriminant.

[tex]5200[/tex]

write a possible equation for each graph. Help me please​

Answers

Answer:

a. y = -x² + 2x - 8

b. y = [tex]\frac{1}{x-2}[/tex]

c. y = x³+ 3

Step-by-step explanation:

I need help with some math problems, thank you​

Answers

Answer: segundo

Step-by-step explanation:

use the figures below what is the ratio of AD to JM
A.2/3
B.6/5
C.3/2​

Answers

If I knew what the figures looked like I could help you but since I don't. I'll just explain.

A: If 2/3 is a ratio provided then AD to JM might be 4 to 6

B: If 6/5 is a ratio provided then AD to JM might be 12 to 10

C: If 3/2 is a ratio provided then AD to JM might be 6 to 4

Can u pls post thefigures sos i can help u

Nicole is making 1,000 bows for people who donate to the library book sale. She needs a piece of ribbon that is 0.45meter long for each bow. How many meters of ribbon does Nicole need to make the bows?​

Answers

Answer:

450 Ribbons

Step-by-step explanation:

multiply the length of 1 ribbon by how many she needs to make. we get, 0.45m x 1000bows

that's 450m ribbon.

plz mark this as brainliest and I hope I helped :)

please help im stuck​

Answers

Answer:

NOT a relation and NOT a function

The first one it’s not rational or a function I believe

At a toy store, Colton can buy a package of 6 mini footballs for $7.50, or a package of 8 mini footballs for $9.60. Which option has the lesser price?

Answers

Answer:

The 8-pack is better value

Step-by-step explanation:

$7.50/6 = $1.25 per ball

$9.60/8 = $1.20 per ball

The 8-pack is a better value if the toy store, Colton can buy a package of 6 mini footballs for $7.50, or a package of 8 mini footballs for $9.60.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

At a toy store, Colton can buy a package of 6 mini footballs for $7.50, or a package of 8 mini footballs for $9.60.

For:

At a toy store, Colton can buy a package of 6 mini footballs for $7.50

Each ball price

$7.50/6 = $1.25 per ball

Each ball price

$9.60/8 = $1.20 per ball

The 8-pack is a better value

Thus, the 8-pack is a better value if the toy store, Colton can buy a package of 6 mini footballs for $7.50, or a package of 8 mini footballs for $9.60.

Learn more about the fraction here:

brainly.com/question/1301963

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Find the slope using the formula.
(4, 19) and (2, 11)

Answers

Answer:

[tex]m=4[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

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

Step-by-step explanation:

Step 1: Define

(4, 19)

(2, 11)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{11-19}{2-4}[/tex]Subtract:                       [tex]m=\frac{-8}{-2}[/tex]Divide:                          [tex]m=4[/tex]

A box that measures 15 inches by 5 inches by 3 inches.
What are the units of the volume of the figure?

square inches
cubic inches
square centimeters
cubic centimeters

Answers

Answer: cubic inches.

Step-by-step explanation: When calculating volume, all of the units must be cubed. And all of the measurements are in inches.

How to reduce 0.35 to the lowest term

Answers

Answer:

7/20

Step-by-step explanation:

[tex] 0.35 = \frac{35}{100} = \frac{7}{20} \\ \\ [/tex]

Answer:

7/20

Step-by-step explanation:

35/5=7

100/5=20

35/100=7/20

d Question 5 5. Given A is between Y and Z and YA = 14x, AZ = 10x and YZ = 12x + 48, find AZ

Answers

Answer:

Step-by-step explanation:

If A is in between Y and Z, then;

YA+AZ = YZ

Given.

YA = 14x,

AZ = 10x and

YZ = 12x + 48

Substitute into the formula

14x+10x = 12x+48

Find x;

24x = 12x+48

24x-12x = 48

12x = 48

x = 48/12

x = 4

Get AZ

AZ = 10x

AZ =10(4)

AZ = 40

Which of the following correctly identifies the set of outputs?

{(5, –2), (1, –1), (–2, 2), (2, 5)}
{(–2, 5), (–1, 1), (2, –2), (5, 2)}
{–2, –1, 2, 5}
{–2, 1, 2, 5}

Answers

I believe it’s the 3rd one because it’s all the
y-values aka all the outputs

the length of a rectangular sign is 5 times its width. If the sign's perimeter is 24inches, what is the signs area

Answers

Answer:

20 square inches

Step-by-step explanation:

Set width of sign to x.

Set length of sign to y.

5x=y

2(x+y)=24 inches

2(x+5x)=24 inches

12x=24 inches

width = 2 inches

length = 10 inches

Area = 20 square inches

PLEASE GIVE BRAINLIEST

The area of the rectangular sign will be 20 square inches

What is the area of the rectangle?

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

Given that the length of a rectangular sign is 5 times its width. If the sign's perimeter is 24 inches.

The area of the rectangle will be calculated as follows:-

5x = y

2(x+y)=24 inches

2(x+5x)=24 inches

12x=24 inches

The area of the rectangle:-

width = 2 inches

length = 10 inches

Area = 20 square inches

Therefore, the area of the rectangular sign will be 20 square inches.

To know more about the area follow

https://brainly.com/question/25292087

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PLS HELP ME FAST WILL GIVE POINTS
Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(9, 0), Q(6, 3), and R(−3, −6). Triangle P′Q′R′ has vertices P′(3, 0), Q′(2, 1), and R′(−1, −2). Plot triangles PQR and P′Q′R′ on your own coordinate grid.

Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P′Q′R′? Explain your answer. (4 points)

Part B: Write the coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis. (4 points)

Part C: Are the two triangles PQR and P′'Q′'R′' congruent? Explain your answer. (2 points)

Answers

Answer:

The scale factor of the dilation that transforms the triangle is 1/3

Step-by-step explanation:

9x1/3 is 3. 6x1/3 is 2, etc.


Solve 8x - 2(x + 1) = 7x + 8.

Answers

The answer is

X = -10

Apologies though, I am not good at explaining.

A football team lost 2 yards every 5 minutes. Write the integer that represents how many yards the team lost after 15 minutes

Answers

Answer:

6 yards

Step-by-step explanation:

15mins/5mins = 3
hence, 2x3 = 6

ANSWER PLEASE LIKE FR

Answers

Answer:

63 grams

Step-by-step explanation:

42*4+Δ = 42+ 3*Δ

168 +Δ = 42 +3Δ subtract a triangle from both sides

168+Δ-Δ=42+3Δ-Δ

168 = 42 +2Δsubtract 42 from both sides

168-42 = 2Δ

126 = 2Δ divide both sides by 2

63 = Δ

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