Is it true that the square root of a sum is equal to the sum of the square roots?

Answers

Answer 1

A number's square root multiplied by another number's square root does not always equal the total of these two numbers' square roots.

Why is it called sum of squares?

A statistical method called the sum of squares (SS) is used in regression analysis to determine how well the data can fit the model and how dispersed the data are. Since it is determined by adding up the squared differences, the sum of squares is how it is calculated.

A sum's square is equal to the product of its summands' squares and its double products' sums of summands in twos.

So, it is not always true that the square root of a sum is equal to the sum of the square roots.

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Answer 2

A number's square root multiplied by another number's square root does not always equal the total of these two numbers' square roots.

Why is it called sum of squares?

In regression analysis, the sum of squares (SS), a statistical technique, is used to assess how well the data fit the model and how distributed they are. The sum of squares is used to compute it as it is obtained by combining together the squared differences.

The product of a sum's square and its double products' sums of its summands in twos is known as the summands' square. Hence, the square root of such a sum is not necessarily equal to the total of the square roots.

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Related Questions

Please help me id you want BRIANLEIST!!! :)) ty!!!

Answers

Answer:

5/3

Step-by-step explanation:

4 × x = (6×3+2)/3

---> 4x = 20/3

----> x = 20/12

----> x=5/3

Hope it helps

Answer:

5/3

Step-by-step explanation:

A bottle contains 500 ml of orange juice. Write an expression for EACH of the following.

The amount of juice left in the bottle after pouring out
(i) p ml.

(ii) q glasses each containing r ml​

Answers

Answer:

1. 500-p

2. qr=500

(i) Amount of juice left in the bottle after pouring out [tex]p\,ml\boldsymbol{=(500-p)\,ml}[/tex]

Amount of juice left in the bottle after pouring out [tex]q[/tex] glasses each containing [tex]r[/tex] [tex]ml[/tex]​ [tex]\boldsymbol{=(500-qr)\,\,ml}[/tex]

An algebraic expression refers to a combination of symbols, numbers, variables, and arithmetic operations.

Volume of bottle of orange juice [tex]\boldsymbol{\boldsymbol{=500\,ml}}[/tex]

(i) Amount of juice left in the bottle after pouring out [tex]p\,ml\boldsymbol{=(500-p)\,ml}[/tex]

(ii) Amount of juice contained in [tex]q[/tex] glasses [tex]=(qr)\,ml[/tex]

So,

Amount of juice left in the bottle after pouring out [tex]qr\,\,ml[/tex] of juice [tex]\boldsymbol{=(500-qr)\,\,ml}[/tex]

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*EXTRA PTS* find the value

Answers

Answer:
16) -7
17) 9
18) 5
19) 4
20) 10
21) -9

How?
X+139=132 by the alternate interior angle rule so solve and get -7

-1+14x=12x+17 by the alternate exterior angle rule so solve and get 9

21x+5= 23x-5 by the corresponding angles rule solve and get 5

20x+5+24x-1= 180 because when an angle is one a parallel line the sun of angle to the right or left of it is 180 solve and get 4

6x= 5x+10 by the corresponding angles rule solve and get 10

X+109+x+89= 180 because x+89 is equal to the angle that is too the right of x+109 by the alternate interior angle rule making the sum equal to 108. Solve and you get -9

That was a lot of math
Hope it helps :D

find the equation of the straight line passing through the point (0,2) which is perpendicular to the line y = 1/4x + 5

Answers

Answer:

The slope will be y= -1/4x+2

Step-by-step explanation:

Hope this Helped

Which of the following is the equation for the graph shown?

Answers

Answer:

y

+

0

=

0

(

x

+

5

)

Step-by-step explanation:

A woman is standing 12 feet from a sculpture. The angle of elevation from her eyes to the top of the sculpture is 35º. If the woman's eyes are 5 feet 6 inches off the ground, how tall is the sculpture? Round answer to the nearest thousandth of a foot.

Answers

Answer:

13.903 feet

Step-by-step explanation:

Let the height from the woman's eyes to the top of the sculpture be represented by x.

So that,

Tan 35 = [tex]\frac{x}{12}[/tex]

x = Tan 35 x 12

  = 0.70021 x 12

  = 8.4025

x = 8.403 feet

The height of the sculpture = The woman's eye level to the ground + x

                                              = 5 feet 6 inches + 8.403 feet

                                              = 5.50 feet + 8.403 feet

                                              =  13.903 feet

Thus, the sculpture has a height of 13.903 feet.

On a map, the distance between Louisville, Kentucky, and Nashville, Tennessee, is 1 3/4 inches. The scale of the map is 1 in:100 mi. What is the actual distance between the two cities?​

Answers

Answer:

Step-by-step explanation:

The distance between 2 cities is 175 miles

What is scale on graph?

A scale is a set of numbers that help to measure or quantify objects. A scale on the graph shows the way the numbers or pictures are used in data.

Given data ,

The distance between Louisville and Nashville = 1 3/4 inches

Scale of the map = 1 in : 100 miles

Now , 1 inch = 100 miles on the map

And , 1 3/4 = 7 / 4 inches

So , 7 / 4 inches = ( 7 / 4 ) x 100 miles

                          = 1.75 x 100 miles

                          = 175 miles

Hence , the distance between 2 cities is 175 miles

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The baker at weis supermarket will cut 5 indeticial loaves of bread into pices that are 1/3 . After he cuts the 5 loaves how many pices will the baker have

Answers

Answer:

15 pieces

Step-by-step explanation:

we see if we get 3 pieces from one bread then 5 will be 15

hope it helps you

please mark me as brainlist

I believe it would be 1/3 x 5 which would be 5/15

Sam surveyed his classmates to find out if they played a sport after school or practiced in the
school band
- 14 of his classmates played a sport
- of those 14 who played, 5 participated in the school band
- 8 students played in the school band, and out of those 8, 3 did not play sports
- there were 10 students who did not play a sport nor participate in the school band
Create a two way table to represent the data and answer the following questions

Answers

Answer:Sam surveyed his classmates to find out if they played a sport after school or practiced in the

school band

- 14 of his classmates played a sport

- of those 14 who played, 5 participated in the school band

- 8 students played in the school band, and out of those 8, 3 did not play sports

- there were 10 students who did not play a sport nor participate in the school band

Create a two way table to represent the data and answer the following questions

Step-by-step explanation:

Here is a two-way table that represents the given data:

Look at the pic

To create this table, we first divided the students into two categories: those who play a sport and those who do not. Then, we further divided each category into those who play in the school band and those who do not.

From the table, we can answer the following questions:

How many students did Sam survey in total?

To find the total number of students surveyed, we can add up the values in the table:

14 + 5 + 3 + 9 + 10 = 41

Therefore, Sam surveyed a total of 41 students.

How many students played a sport but did not participate in the school band?

From the table, we can see that 14 students played a sport, and 5 of those also participated in the school band. Therefore, the number of students who played a sport but did not participate in the school band is:

14 - 5 = 9

So, 9 students played a sport but did not participate in the school band.

How many students did not play a sport but participated in the school band?

From the table, we can see that 8 students played in the school band, and 3 of those did not play a sport. Therefore, the number of students who did not play a sport but participated in the school band is:

8 - 3 = 5

So, 5 students did not play a sport but participated in the school band.

Hope this helps <3

Please give me Brainliest :)

5(x + 8) + x + y, given that x = 3 and y = 30

Answers

Answer:88

Step-by-step explanation:

Given, x=3 & y=30

So, 5(3+8)+3+30 = 5(11)+3+30 = 88

Answer: 88

Step-by-step explanation:

5(3+8)+3+30

5 x 11 + 33

55+33

=88

Which points define the solution set of this linear-quadratic system of equations?
A. Point A & B
B. Point D & F
C. Point C & E
D. Point B & D

Answers

Answer:

point D y F ese el la respuesta

Help.Find the length of y

Answers

Here I hope this helps you.

If the blue radius below is perpendicular to the chord , which is 14 units long, what is the length of the segment ?

Answers

Answer:

The answer is 7 bc 7 is half of 14

Step-by-step explanation:

The upper-left coordinates on a rectangle are (- 8, 8) and the upper-right coordinates are (- 3, 8) The rectangle has an area of 15 square units

Answers

Answer:

See attachment for diagram

Step-by-step explanation:

Given

[tex](x_1,y_1) = (-8,8)[/tex]

[tex](x_2,y_2) = (-3,8)[/tex]

[tex]Area = 15[/tex]

Required

Draw the rectangle on a coordinate plane --- (missing from the question)

First, we calculate the distance between the given pairs.

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

[tex]D = \sqrt{(-8-(-3))^2 + (8-8)^2}[/tex]

[tex]D = \sqrt{25}[/tex]

[tex]D = 5[/tex]

So, the distance between the given pairs is 5 units... Let this be the length of the rectangle.

Using:

[tex]Area = Length * Width[/tex]

[tex]15 = 5 * Width[/tex]

[tex]Width = \frac{15}{5}[/tex]

[tex]Width = 3[/tex]

The width is 3 units.

This implies that the opposite sides of the rectangle are either 3 units down or 3 units up the given pairs.

Assume they are 3 units up.

[tex](x_1,y_1) = (-8,8)[/tex]   and [tex](x_2,y_2) = (-3,8)[/tex]

[tex](x_3,y_3) = (x_1,y_3 + 3) = (-8,8+3) = (-8,11)[/tex]

[tex](x_4,y_4) = (x_2,y_2 + 3) = (-3,8+3) = (-3,11)[/tex]

Sara bought 12 feet of fabric to make curtains. She needs to cut it into 1/4 foot sections. How many sections of fabric will she have.

Answers

Answer: 48 sections

Step-by-step explanation:

Sara bought 12 feet of fabric. From that 12 feet, she needs to cut out sections that are 1/4 in length.

The number of sections she will have if she does so is:

= Total length of fabric / Length of sections

= 12 ÷ 1/4

= 12 * 4/1

= 48 sections

Vitai ir 8 reizes vairak konfekšu neka Annai, bet Uldim ir par 10 konfektēm vairak neka Annai. Cik konfektes ir katram no bērniem, ja kopa viņiem ir 60 konfektes? Lai atrisinatu, sastadi vienadojumu!

Answers

Atbilde:

Anna = 14

Vita = 14 + 8 = 22

Uldis = 14 + 10 = 24

Soli pa solim:

Latvietis

Anna = x

Vita = x + 8

Uldis = x + 10

Kopā = 60

x + x + 8 + x + 10 = 60

3x + 18 = 60

3x = 60 - 18

3x = 42

x = 42/3

x = 14

Anna = 14

Vita = 14 + 8 = 22

Uldis = 14 + 10 = 24

question: find the value of t

Answers

Answer:

t = 5

Step-by-step explanation:

since those 2 angles make up 180 degrees turn it into an equation

20t + 5 + 15t = 180

combine like terms 20t + 15t = 35t

the equation is now 35t + 5 = 180

subtract 5 from both sides, 5 - 5=0, 180 - 5 = 175

35t = 175

now divide each side by 35, 35t/35 = t, 175/35= 5

t = 5

hope this helps :)

Answer:

5

Step-by-step explanation:

Line (which has the the equation)= 180

So,

15t + 20t + 5 = 180

35t + 5 = 180

35t = 180 - 5

35t = 175

t = 175/35

t = 5

what factored pair has a product of -24 and a sum of 2?

Answers

-4 and 6 is the answer

The price have changed from $120 to $75. By how many
percent did it change?
Plz show how you did it

Answers

Answer:

35.7%

Step-by-step explanation:

The change is 45 dollars. (120-75)

The percent of change is the dollars divided by the original price.

45/120=0.357

Or 35.7%

Answer:

35.7

Step-by-step explanation:

Help me please answer thanks

Answers

Explain more please!! I’ll be able to help then!
Non function. Functions must only have 1 output per input. As you can see, Letter A has TWO outputs.

Angus has a big test coming up. Should he stay up and study or go to bed early the night before the test? Defend your recommendation.

Answers

Answer:

he should study

Step-by-step explanation:

What is an
equation of the line that passes through the points (0, -2)
and (6, 6)?

Answers

Answer:

8/6x+2................

Answer: y=(4/3)x-2

Step-by-step explanation:

(y-y1)/(x-x1)=(y2-y1)/(x2-x1)

x1=0, x2=6

y1=-2, y2=6

(y-(-2))/(x-0)=(6-(-2))/(6-0)

(y+2)/(x)=(6+2)/6

(y+2)/(x)=8/6=4/3

Cross multiply

3(y+2)=4x

y+2=(4/3)x

y=(4/3)x-2

work out the value of x

Answers

A full circle is 360°.

x + 3x + 90° = 360°

4x = 360° - 90°

4x = 270°

4x/4 = 270°/4

x = 67.5°

Hope it helps! Make me brainliest if it’s correct.

42 out of 100
how do u do this question? ​

Answers

100-42 or 100/42????.?.???.?

Solve 2(x - 5) = 6(x - 1)

Answers

Answer:

60

Step-by-step explanation:

so first you multiply 2 times 5 =15 and the we do 15 times six which is 90 and then subtract one and keep subtracting util you get to 60

Answer:

x=-1

Step-by-step explanation:

2(x-5)=6(x-1)

2x-10=6x-6

-4x-10=-6

-4x=4

x=-1

An online furniture store sells chairs and tables. Each day, the store can ship at most 25 pieces of furniture. Write an inequality that could represent the possible values for the number of tables sold, t, and the number of chairs sold, c, that would satisfy the constraint.

Answers

9514 1404 393

Answer:

  t + c ≤ 25

Step-by-step explanation:

"At most 25" means "less than or equal to 25." The total number of pieces of furniture is the sum of the numbers of tables and of chairs: t + c.

The shipping constraint can be written as ...

  t + c ≤ 25

Evaluating 1/4 check all that apply the base is 1/4 the expanded form is 1/4 1/4 1/4 the expanded form is 1x1x1x1/4 1/4 2 = 1/4 1/4 3 = 1/64

Answers

Answer:

[tex](\frac{1}{4})^3 = \frac{1}{64}[/tex]

Step-by-step explanation:

Given

[tex](\frac{1}{4})^3[/tex]

Required: Evaluate

The options are not clear. So, I'll answer without considering the options:

[tex](\frac{1}{4})^3[/tex]

Apply law of indices:

[tex](\frac{1}{4})^3 = (\frac{1}{4}) * (\frac{1}{4}) * (\frac{1}{4})[/tex]

Remove brackets

[tex](\frac{1}{4})^3 = \frac{1}{4} * \frac{1}{4} * \frac{1}{4}[/tex]

Combine

[tex](\frac{1}{4})^3 = \frac{1*1*1}{4*4*4}[/tex]

[tex](\frac{1}{4})^3 = \frac{1}{64}[/tex]

Answer988

Step-by-step explanation:

Solve for G

6G = -72
(show your work)

Answers

Answer:

-12

Step-by-step explanation:

6G = -72

G = -72 / 6

G = -12

It takes Diego of an hour to complete a lap on a circular bike track. The track is mile long. What is Diego's bike speed? 8 hours per mile 1/8 mile per hour 8 miles per hour 1/8 hours per mile

PLEASE HELP, I DON'T UNDERSTAND THE WORDING​

Answers

Answer:

C. 8 miles per hour

Step-by-step explanation:

It takes Diego [tex]\frac{1}{8}[/tex] of an hour to complete the lap = [tex]\frac{1}{8}[/tex] x 1 hour = [tex]\frac{1}{8}[/tex] hour

Distance of the track = 1 mile long

The speed of an object expresses the ratio of distance moved to time taken to cover the distance.

i.e speed = [tex]\frac{distance}{time taken}[/tex]

           = [tex]\frac{1}{\frac{1}{8} }[/tex]

           = 8

Speed = 8 mile per hour

Therefore, Diego's bike has a speed of 8 miles per hour.

Jace invested $380 in an account paying an interest rate of 6.2% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 15 years?

Answers

Answer: 960

Step-by-step explanation:

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