Which expression is equivalent to 7.90 + 8.5 + 8.60 + 1.3?
O 16.4u + 9.9
0 -0.7u + 9.8
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O 16.54 + 9.8
0 -0.74 + 7.2
о

Answer:

a+b=2

Step-by-step explanation:

start by combining all the terms that are possible: (a+b)^2 - 4 = 0

move -4 to the other side:  (a+b)^2= 4

Find the square root of both sides: a+b=2

The orthogonal decomposition of vector [tex]\vec b = <9, 0, 0>[/tex] with respect to vector [tex]\vec a = <4, -5, 0>[/tex]  is

[tex]b'=<\frac{16}{5},\frac{8}{5},0>[/tex]

From the Question we are told that

Vector [tex]\vec b = <9, 0, 0>[/tex]

Vector [tex]\vec a = <4, -5, 0>[/tex]

Generally in the orthogonal decomposition of b to a we have

[tex]\vec b=\vec b"+\vec b'[/tex]

Where

[tex]\vec b"=(\frac{\vec b*\vec a}{\vec *\vec a})*\vec a[/tex]

[tex]\vec b"=(\frac{ <9, 0, 0>*<4, -5, 0>}{<4, -5, 0>*<4, -5, 0>})*<4, -5, 0>[/tex]

[tex]\vec b"=<\frac{4}{5},\frac{-8}{5},0>[/tex]

Therefore

[tex]b'= \vec b- \vec b"\\\\b'=<4,0,0>-<\frac{4}{5},\frac{-8}{5},0>[/tex]

[tex]b'=<\frac{16}{5},\frac{8}{5},0>[/tex]

in Conclusion

The orthogonal decomposition of vector [tex]\vec b = <9, 0, 0>[/tex] with respect to vector [tex]\vec a = <4, -5, 0>[/tex]  is

[tex]b'=<\frac{16}{5},\frac{8}{5},0>[/tex]

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Answer: 3x(x+4)(x+5)

Step-by-step explanation:

Answer:

The property is the neutral element, in this case, it's the 0

The equation is justified using the additive inverse property of real numbers. The equation [tex]\(x + (37 + (-37)) = x + 0\)[/tex] is justified by the additive inverse property of real numbers.

According to the additive inverse property, for any real number a, there exists another real number -a such that their sum is equal to zero:

[tex]\(a + (-a) = 0\)[/tex]

In the given equation, 37 and -37 are additive inverses of each other, meaning [tex]\(37 + (-37) = 0\).[/tex] Therefore, the equation simplifies to:

[tex]\(x + (37 + (-37)) = x + 0\)\(x + 0 = x\)[/tex]

So, the equation is justified using the additive inverse property of real numbers.

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Answer:

$35.50

Step-by-step explanation:

With a 20% profit then $42.60 represents 120%

We require to find the cost price represented by 100%

Divide the amount by 120 to find 1% then multiply by 100, that is

cost price = [tex]\frac{46.60}{120}[/tex] × 100 = $35.50

Answer:

Answer:

Step-by-step explanation:

1st expression:4a(a-b)

2nd expression:9a(a-b)

So L.C.M=a(a-b)4×9

=36a^2-36ab

Answer:

80%

Step-by-step explanation:

in other words 80 percent of Doctors use computers  and 20% do not use computers.

Answer:

3/14

Step-by-step explanation:

5/7 = 10/14

1 - 10/14 - 1/14 = 1 - 11/14 = 3/14

If my answer is incorrect, pls correct me!

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Answer:

M= 3.535

Step-by-step explanation:

Look at the line t then divide by 2

Answer:

[tex]here \: tn + 1 = 3 \\ tn = 2 \\ put \: n = 1 \\ t1 = 2 \\ put \: n = 2 \\ t2 = 2 \\ put \: n = 3 \\ t 3 = 2 \\ for \: all \: n \: \: values \: t = 2 \\ thank \: you[/tex]

Answer:

2a+7b+17

Step-by-step explanation:

MATH

Step 1 : F

Step 2 : C

Step 3 : B

Step 4 : E

Step 5 : D

Step 6 : A

Answer:

38

Step-by-step explanation:

5x+3 = 23

5x = 23-3

x = 20/5

x = 4

12x-10 = ?

12 (4) -10

48 -10

38

The value of the expression 12x - 10 will be 38.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that 5x + 3 = 23. To calculate the value of 12x -10 first calculate the value of x.

5x+3 = 23

5x = 23-3

x = 20/5

x = 4

Calculate the value of 12x - 10.

12x-10 = ?

12x-10 = 12 (4) -10

12x-10 = 48 -10

12x-10 = 38

Therefore, the value of the expression 12x - 10 will be 38.

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Answer:

mean=12

Step-by-step explanation:

soln:

given,

17,1,16,16,7,19,3,17

X=17+1+16+16+7+19+3+17

=96

N=8

Now,

[tex] \: mean = \frac{summation \: x}{n} [/tex]

[tex] = \frac{96}{8} [/tex]

=12

therefore, Mean=12

hope you understand it

Answer:

[tex]9 \times 9 = 10nines - 1nine \\ 9 \times 9 = 90 - 9 \\ 9 \times 9 = 81 \\ thank \: you [/tex]

Answer:

398

Step-by-step explanation:

multiply 15 by 26 then add 8. check answer by dividing 398 by 26 using long division, not a calculator. you will get a decimal or fraction if you do

Answer:

step 1. Subtraction Property Of Equality

step 2.Associative Property Of Equality

step 3.Division Property Of Equality

Answer:

[tex]\frac{38}{125}[/tex]

Hope this helped! Also, it would really help me out if you gave me a Brainliest. It boosts my confidence and makes my day! Would really appreciate! Thank you! (Also, if the answer is wrong, please tell me and I will check as fast as I can)

Answer:

The Equation of the Line that Passes through the Points (2, −1) and (4, 5) is 3x - y - 7 = 0.

Hi :)

-3(3a + 2) + 3

-9a -6 + 3

-9a -3

Answer:

x  = 4

Step-by-step explanation:

Let the number = x

x^3 = x^2 + 48

x^3 - x^2 - 48 = 0

The answer is 4, but I have no method of doing this rigorously. I can just show that it is true.

x^3 = 4^3 = 64

x^2 = 4^2 = 16

64 - 48 = 16

Answer:

1: x + 2

2: -6x + 2

3: -2x - 10

Answer:

100 pages

Step-by-step explanation:

total number of pages = 286 + 424 + 290 = 1000

equal amount in 10 days,

number of pages hhe should read in the first day = 1000/10 = 100

Answer:

The mean means there are as many points below as above the mean point. Adding pairs of points to the left and right of the mean does not change the mean since the count on the left and right change at the same rate.

Step-by-step explanation:

Answer:

y + 7 = 1/3 (x + 5)

Step-by-step explanation:

The format for writing a point-slope equation is:  y - y1 = m(x - x1).

Step-by-step explanation:

[tex]y - y1 = m(x - x1)[/tex]

where, m = 1/3, x1 = -5 and y1 = -7

[tex]y -( - 7) = \frac{1}{3} (x - ( - 5))[/tex]

[tex]y + 7 = \frac{1}{3} (x + 5)[/tex]

[tex]y = \frac{1}{3} x + \frac{5}{3} + 7[/tex]

[tex]y = \frac{1}{3} x + \frac{26}{3} [/tex]

[tex]y = \frac{1}{3} (x + 26)[/tex]

Answer:

3005+4.308+2.47 =7.0785

8.17-3.05=5.12

0.15 ×100=15

15×2.08=31.2

Answer:

Its D) 790.6

Step-by-step explanation:

All I can say is that I aced the test so.

The answer to the question what is the magnitude of Levi's effort is D 790.6 N

Since Gary is pulling due East with a force of 650 Newtons, June is pulling due North with a force of 450 Newtons, the force due to Levi will be equal to the resultant force from Gary and June.

Since both Gary and June pull due East and due North respectively and these directions are perpendicular to each other, their resultant force is

R = √[(650 N)² + (450 N)²]

R = √[422500 N² + 202500 N²]

R = √[625000 N²]

R = 790.57 N

R ≅ 790.6 N

Since the resultant force due to Gary and June is 790.6 N, this is equal to the magnitude of Levi's effort since the knot does not move.

So, the magnitude of Levi's effort is 790.6 N

So, the answer to the question what is the magnitude of Levi's effort is D 790.6 N

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Answer:

222222

Step-by-step explanation:

Answer:

8x-16y

Step-by-step explanation:

Answer:

8x - 16y and a + 3b - 2c

Step-by-step explanation:

(a)

8(x - 2y) ← multiply each term in the parenthesis by 8

= 8x - 16y

(b)

[tex]\frac{6a+18b-12c}{6}[/tex] ← factor out 6 from each term in the numerator

= [tex]\frac{6(a+3b-2c)}{6}[/tex] ← cancel the 6 on numerator/ denominator

= a + 3b - 2c