consider the expression
[tex] \sqrt{a^{2} + 12 } + |b| [/tex]
when a = -2 and b= 14. what is the value of the expression?

show work​

Answers

Answer 1

Answer:

18

Step-by-step explanation:

[tex]\sqrt{((-2)^2 + 12)} + 14[/tex]

= [tex]\sqrt{(4 + 12)} + 14[/tex]

= [tex]\sqrt{16}+14[/tex]

= 4 + 14

= 18

Hope this helps!

Answer 2

Answer:

[tex] \sf 18[/tex]

Step-by-step explanation:

[tex] \sf = \sqrt{ { - 2}^{2} + 12} + |14| [/tex]

[tex] \sf = \sqrt{(( - 2) \times ( - 2)) + 12} + 14[/tex]

[tex] \sf = \sqrt{4 + 12} + 14[/tex]

[tex] \sf = \sqrt{16} + 14[/tex]

[tex] \sf = \sqrt{ {4}^{2} } + 14[/tex]

[tex] \sf = 4 + 14[/tex]

[tex] \sf = 18[/tex]


Related Questions

In the equation 80 divided by 10=8 the number 80 is the

Answers

80 is the number you just divided 10 with??

-
How many solutions does the equation 2 + 6(x - 4) = 3x - 18 + 3x have?

A)0
B)1
C)2
D) Infinite

Answers

Answer:

C because it's a quadratic equation and it can be solved by factorization and completing the square method and also general formula

need help with math

Answers

Ah sorry I got it wrong, dear

B. 1/2

Explanation: 1/4 of grape juice as already in the bottle and then a mixture containing orange, grape and apple filled the bottle meaning the mixture was 3/4. If the mixture contained equal amounts of each juice it means 1/3 of each juice was in the mixture so 1/4 plus 1/4(the original amount of grape juice that was in the bottle before the mixture was added) is equal to 2/4 simplify that and you have 1/2

The circumference of a circle is 14.444 miles. What is the circle's diameter?

Answers

Answer:

2.29883

formula

[tex]c = 2 \times \pi \times r[/tex]

solving for (r) radius

[tex]r = \frac{c}{2\pi} = \frac{14.44}{2 \times \pi} [/tex]

= 2.29883

Find the length of the hypotenuse of a right triangle where the perpendicular sides are 3 in. And 4in. In length

Answers

Answer:

5 inches

Step-by-step explanation:

To find the hypotenuse or any side of a right triangle, use the Pythagorean theorem. This is [tex]a^2+b^2=c^2[/tex] where a and b are the perpendicular sides and c is the hypotenuse. So, plugin  3 and 4 for a and b. This gives 9+16=c^2, which is equal to 25=c^2. Then, take the square of both sides to get c=5.

Another way to solve this is to know the triples. Triples are right triangles that have integers for all of their sides. The triple 3,4,5 is the smallest and most common triple.

3 t-shirts cost £25.95.
How much do 10 t-shirts cost?

Answers

Answer:

£86.50

Step-by-step explanation:

To find how much 10 t-shirts cost we have to find how much they cost individually.

3 T- Shirts / 25.95 = 8.65 which means that each T-Shirt Costs 8.65.

8.65 x 10 T-Shirts = £86.50

Liam invests $3,670 in a savings account at his local bank which gives 1.9% simple annual interest. He also invests $2,040 in an online savings account which gives 5.5% simple annual interest. After five years, which one will have earned more interest, and how much more interest will it have earned, to the nearest dollar?

Answers

Step-by-step explanation:

Given:

Investment P₁ = $3670Investment P₂ = $2040Rate of interest r₁ = 1.9% SIRate of interest r₂ = 5.5% SITime t = 5 years

Find amount of interest in both investments:

I₁ = P₁r₁t = $3670*(1.9/100)*5 = $348.65I₂ = P₂r₂t = $2040*(5.5/100)*5 = $561.00

As we see the online savings account earns more interest and the difference is:

$561.00 - $348.65 = $212.35 ≈ $212

0.1 x 0.01 x 0.001
ans ???

Answers

>> Answer

________

[tex] \: [/tex]

[tex]0.1 \times 0.01 \times 0.001 = ...[/tex]

[tex] = \frac{1}{10} \times \frac{1}{100} \times \frac{1}{1.000} [/tex]

[tex] = \frac{1}{10 \times 100 \times 1.000} [/tex]

[tex] = \bold{ \frac{1}{1.000.000}} [/tex]

Answer:

[tex]0.1 \times 0.01 \times 0.001 = 0.000001 \\ \\ \\ \\ i \: hope \: it \: is \: helpfull[/tex]

Rewrite the equation below so that it does not have fractions.

3/4x-5=3/8

Do not use decimals in your answer.

Answers

Answer:

x=  

6

43

 

Step-by-step explanation:

pasos  

4

3

x−5=  

8

3

Agrega 5 a ambos lados.

4

3

x=  

8

3

+5

Convertir 5 a la fracción  

8

40

.

4

3

x=  

8

3

+  

8

40

 

Como  

8

3

 y  

8

40

 tienen el mismo denominador, sume sus numeradores para sumarlos.

4

3

x=  

8

3+40

 

Suma 3 y 40 para obtener 43.

4

3

x=  

8

43

 

Multiplica los dos lados por  

3

4

, el recíproco de  

4

3

.

x=  

8

43

×(  

3

4

)

Multiplica  

8

43

 por  

3

4

 (para hacerlo, multiplica el numerador por el numerador y el denominador por el denominador).

x=  

8×3

43×4

 

Realiza las multiplicaciones en la fracción  

8×3

43×4

.

x=  

24

172

 

Reduzca la fracción  

24

172

 a su mínima expresión extrayendo y anulando 4.

x=  

6

43

 

6x=43 should be the answer

Someone help please

Answers

Answer:

[tex]6^\frac{1}{10}[/tex]

It appears that the answer is 6 1/10 and I know because I aced the test all answers correct lol

What percent of the bottle of apple juice is water?

Answers

percent of water is: 32/80*100= 40%

Wendy was riding her bike along a trail and travelled 63 miles in 6 hours. When Iman was riding on the same trail she travelled 10.1 miles per hour. What was Wendy's unit rate for her bike ride? (Miles per Hour) Who was riding faster?

Answers

Wendy was going faster at 10.5 mph.

To find mph, you divide the distance by the time. 63 divided by 6 is 10.5, which is faster than 10.1

Please help meeeeeeeeeeeeee

Answers

Answer:

-47

Step-by-step explanation:

First term in the sequence is given as 30. The common difference (difference between first term and next term) is -7. Since we are looking for the 12th term we can do 30 - (11 * -7) = -47. It's 11 * -7 because we already are given one term in the problem statement.

Find the surface area of a cube
with side length 8.5 cm.

Answers

Answer:   433.5 square cm

=========================================================

Explanation:

A cube has 6 identical faces, all of which are squares.

Each square has a side length of 8.5 cm, so its area is (8.5)^2 = 72.25 sq cm.

The overall surface area, aka the area of all 6 faces combined, is 6*72.25 = 433.5 square cm

Answer:

A=433.5cm²

Step-by-step explanation:

A=6a2=6·8.52=433.5cm²

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

if there was 200 kids= 100% and 43 of them left what is the percent

Answers

Answer:

It would be 86 as 43% of 200 is 86

Step-by-step explanation:

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For number 13, there is no change. It is 0. The equation is x=7 since the line is on x and not y. The y intercept is 0.

What is the first step in solving this equation?
3(2x + 6) - 4x = 2(5x - 2) + 6
Use the subtraction property of equality to subtract 6 from both sides.
Use the addition property of equality to add 4x to both sides.
Combine the like terms on each side of the equation.
O Use the distributive property on each side of the equation.

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Step-by-step explanation:

you must always start from the numbers in the parentheses

-6 a solution to x<-8 yes or no

Answers

Answer:

No its not

Step-by-step explanation:

-6 is greater then -8 and in this case it’s not less then -8

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Step-by-step explanation:

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Step-by-step explanation:

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What is the sum of
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3
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o

IN IN NII am |
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Answers

Answer:

B. One whole number one over two. 1½

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One challenge of federalism is that

power and authority are concentrated in the central government and can take away people’s rights
sometimes officials from different levels of government disagree on who should be in charge of a situation
local governments have the most power, which creates problems for trade with other nations
officials from state governments have too many rules to follow to be effective leaders

Answers

Answer:

local governments have the most power

Step-by-step explanation:

I hope this is right, but federalism gives more power to the state, so local governments could potentially have more power.

Answer:

i believe it is option one: power and authority are concentrated in the central government and can take away people’s rights

Step-by-step explanation: well i mean its true the governments are corrupted and are slowly taking away our rights

solve the median of 4,5,3,4,3,1

Answers

Answer:

arrange them in order = 1,3,3,4,4,5

then cancel them slowly from both side = 3,3,4,4

until u find a single number or two number.

for two number which is same as this do (3+4)/2 which is 7/2 = 3.5

Step-by-step explanation:

4,5,3,4,3,1 (n = 6)

[tex] \\ \tt median = \frac{n + 1}{2} [/tex]

[tex] \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{6 + 1}{2} [/tex]

[tex] \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{7}{2} [/tex]

[tex] \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.5[/tex]

Identify the similar triangles.
ΔHFE=
ΔHFE=​

Answers

∆HFE is similar to ∆HFG and ∆ HEG (they all are right triangles and have the same, shape.)

The given triangle ΔHFE is similar to triangle GFH and triangle GHE.

What are similar triangles?

Similar triangles are two triangles that have the same shape but may differ in size. They have corresponding angles that are congruent and corresponding sides that are proportional.

Here,

Since triangle HFE is similar to triangle GFH,
∠HEF = ∠GHF,
∠FHE = ∠HGF, and ∠HFE = ∠HFG

Similarly

ΔHFE is similar to triangle ΔGHE.

Similar triangles are useful in many areas of mathematics and in the real world, such as in architecture, engineering, and cartography, where they are used to make scale models of buildings and other structures.

Thus, the given triangle ΔHFE is similar to triangle GFH and triangle GHE.

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https://brainly.com/question/12101336
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What is the period of y=2cos(3x-2(3.14))?
A. 3(3.14)

B. 6(3.14)

C. 3(3.14)-2

D. 3(3.14)/3

Answers

Answer:

the correct answer is B

Step-by-step explanation:

I got it correct on 2021 edge

I want you to set a goal of signing up 25% of your new customers for our new service feature." Representative: "If I get 96 new customers that means I have to get

Answers

If he get 96 new customers that means he will have to sign 24 customers

for the new service features.

The deal is to get 25% of your new customer to sign the new service features.

When the new customers are 96 in numbers, the number of individuals(25%

of the new customers) to be signed for the new features can be calculated as

follows:

New customer to sign for the new features = 25% of 96

New customer to sign for the new features = 25 / 100 × 96

New customer to sign for the new features = 2400 / 100

New customer to sign for the new features = 24

read more: https://brainly.com/question/19540991?referrer=searchResults

This means that if I get 96 new customers that means I have to get 24 new customers

From the question, I want to set a goal of signing up 25% of your new customers for our new service feature.

Since we have 96 new customers, hence the total amount of new customers needed will be expressed as:

= 25% of 96

= 0.25 * 96

= 24 new customers

This means that if I get 96 new customers that means I have to get 24 new customers

Learn more on proportion here: https://brainly.com/question/19914553

Simplify the linear expression.

−2/3a+1/8−1/6a−3/4

Enter your answer as simplified fractions in the boxes.

Answers

Answer:

-5/6a - 5/8

Step-by-step explanation:

i took the k12 quiz

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