14 - (-10)
Perform the indicated operation

Answer:

The answer would be 19

Step-by-step explanation:

Using pythagoras theorem

15+6= 21

a^2+b^2= c^2

In this scenario,

c^2-a^2= b^2

Meaning it would be 21^2+8^2

= 377

Square root of 377 would be 19.416

?= 19.416

The missing side length of the right angle triangle is 20

Pythagoras theorem States that the square of the longest side of a triangle is equal to the sum of the square of the opposite side and no square of the adjacent side.

BC² = AB² + CA²

(15 + 6)² = x² + 8²

21² = x² + 8²

21² - 8² = x²

441 - 64 = x²

377 = x²

x = √377

x = 19.41648783894759891856148511263886343

Approximately to the nearest whole number

= 20

Learn more about Pythagoras theorem:

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If a package is damaged, the probability that it came from Manufacturer A is 62.5%.

Given that two manufacturers supply paper cups to a catering service, and manufacturer A supplied 100 packages and 5 were damaged, while Manufacturer B supplied 50 packages and 3 were damaged, to determine, if a package is damaged, the probability that it came from Manufacturer A, the following calculation must be performed:

Therefore, if a package is damaged, the probability that it came from Manufacturer A is 62.5%.

Learn more in https://brainly.com/question/23044118

Answer:

[tex]\huge\boxed{-\frac{7}{8}a - \frac{1}{6}}[/tex]

Step-by-step explanation:

This question utilizes combining like terms and common denominators. First you have to convert both terms including "a" to have a denominator of 8. You would do this by multiplying both the numerator, and the denominator by the same value. This value in the case of [tex]-\frac{1}{4} a[/tex] would be 2, and in the case of [tex]\frac{2}{3}[/tex] the value would be 2. This would result in the equation: [tex]-\frac{5}{8}a+\frac{4}{6}-\frac{2}{8}a-\frac{5}{6}[/tex]. Then simply combine like terms to get your final answer.

Answer:

10

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) D

2) B

3) no solution

y ≤ 0.5x - 4 is area C including the red line

y ≥ 0.5x + 5 is area A including the blue line

Answer:

6

Step-by-step explanation:

5L - 0.5 = 4.5

Pam is putting 4.5L into bottles

4.5/0.75 = 6

0.75L = 1 bottle

x2

1.5L = 2 bottles

x3

4.5L = 6 bottles

Answer:

a.

Step-by-step explanation:

this is a line going from -infinity to +infinity in x and in y direction.

for b or c to be right the function would have to be a single point, as nothing else is valid as value.

Answer:

not possible

Step-by-step explanation:

f(2)=2^2-4=0

g(f(2))=5/0 it's not possible

Answer:

12.5%

Step-by-step explanation:

We want to see how long will take a healthy adult to reduce the caffeine in his body to a 60%. We will find that the answer is 3.55 hours.

We know that the half-life of caffeine is 4.8 hours, this means that for a given initial quantity of coffee A, after 4.8 hours that quantity reduces to A/2.

So we can define the proportion of coffee that Jeremiah has in his body as:

P(t) = 1*e^{k*t}

Such that:

P(4.8 h) = 0.5 = 1*e^{k*4.8}

Then, if we apply the natural logarithm we get:

Ln(0.5) = Ln(e^{k*4.8})

Ln(0.5) = k*4.8

Ln(0.5)/4.8 = k = -0.144

Then the equation is:

P(t) = 1*e^{-0.144*t}

Now we want to find the time such that the caffeine in his body is the 60% of what he drank that morning, then we must solve:

P(t) = 0.6 =  1*e^{-0.144*t}

Again, we use the natural logarithm:

Ln(0.6) = Ln(e^{-0.144*t})

Ln(0.6) = -0.144*t

Ln(0.6)/-0.144 = t = 3.55

So after 3.55 hours only the 60% of the coffee that he drank that morning will still be in his body.

If you want to learn more, you can read:

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Answer:

y = (x - 1)(x - 3)

y = (x + 2)^2

Step-by-step explanation:

3)

Has roots at x = {1, 3}

y = (x - 1)(x - 3)

4)

Has double root at x = -2

y = (x + 2)^2

Answer:

155.055

Step-by-step explanation:

hope this helps

Answer:

155.055

Step-by-step explanation:

Answer:

0.400

Step-by-step explanation:

Slope = 0.800/2.000 = 0.400

 x-intercept = 4/2 = 2

 y-intercept = 4/-5 = -0.80000

Answer:

[tex] \: \: \: \: \: \: [/tex]

Answer:

Step-by-step explanation:

All magnets have two poles -- arbitrarily called North and South; a magnet is characterized by the magnetic force it creates.

Here's ur perfect answer

[tex]xy =-21~~.....(i)\\\\x+ y=20~~....(ii)\\\\\text{From equation (i):}\\\\xy = -21 \implies y = -\dfrac{21}x~~.....(iii)\\\\\text{Substitute y in equation (ii):}\\\\x - \dfrac{21}x = 20\\\\\implies x^2 -20x -21= 0\\\\\implies x^2 - 21x + x-21=0\\\\\implies x(x-21) +(x-21) =0\\\\\implies (x+1)(x-21)=0\\\\\implies x = -1 ~~\text{or}~~ x =21\\\\\text{Substitute x in equation (iii):}\\\\y = 21 ~~ \text{or}~~ y = -1\\\\\text{Hence,}~ (x,y)=(21,-1) ~~ \text{or}~~ (x,y) = (-1,21)[/tex]

Answer:

55°

Step-by-step explanation:

One triangle = 180° Therefore 90°+35°+ Unknown acute angle = 180°

125°+ Unknown acute angle = 180°

Unknown acute angle = 180°-125°

Unknown acute angle =55°

Answer:

55°

Step-by-step explanation:

One triangle 180° 90+35 =125-180=55°

Answer:

$500

Step-by-step explanation:

John earns $100 per night.

He works 5 nights a week.

Therefore his weekly gross wage = $100 × 5

= $500

Yep, it's C. The answer is C

Answer:

2

Step-by-step explanation:

Answer:

[tex]x = \frac{5 + \sqrt{13} }{6} [/tex]

Step-by-step explanation:

[tex]3x { }^{2} + 1 = 5x[/tex]

[tex]3 {x}^{2} - 5x + 1 = 0[/tex]

Answer:

Step-by-step explanation:

The exponent of 1 can be ignored. This means we're simplifying ...

  [tex]\left(\left(\dfrac{3}{4}\right)^{-2}+\dfrac{1}{\left(\dfrac{3}{4}\right)}\right)^{3/4}=\left(\dfrac{16}{9}+\dfrac{4}{3}\right)^{3/4}=\left(\dfrac{28}{9}\right)^{3/4}\\\\=\left(\dfrac{28\cdot9}{3^4}\right)^{3/4}=\boxed{\dfrac{252^{3/4}}{27}}\qquad\text{rational exponent form}\\\\=\boxed{\dfrac{\sqrt[4]{252^3}}{27}=\dfrac{\sqrt[4]{16003008}}{27}}\qquad\text{radical form}[/tex]

Answer:

w=6

Step-by-step explanation:  you should just look it up on line

Answer:

The correct answer is 1 43/60

Step-by-step explanation:

you convert 2.05 to a fraction and get 2 23/60 - (-1/3)  = 1 43/60

i also took the test

Answer:

25

Step-by-step explanation:

25

Answer:

Total Cost = $1605

Step-by-step explanation:

Total Cost = Cost of the Computer +  (Cost of the computer × tax %)

Total Cost = $1500 + ($1500 × .07)

Total Cost $1500 + $105

Total Cost = $1605

Answer:

10m^3-15m^2

Step-by-step explanation:

Answer:

X = -1

Step-by-step explanation:

y - 3 = 1/2 (x - 7)

x would equal -1.