Find the sine of ZF.
H
2/2
3/3
F
Write your answer in simplified, rationalized form. Do not round.
sin (F) =

Answer:

f(g(x)) = 15x + 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 5x + 7

g(x) = 3x - 1

Step 2: Find

Answer:

an exterior angle is equal to the sum of the two opposite interior angles.

3y + 11 + 4y = 116

Step-by-step explanation:

First combine like terms 7y + 11 = 116

Then undo addition or subtraction.

Then undo multiplication and division to get the value of y.

Answer:

Step-by-step explanation:

y=4(x+6)(x+4)

y=4(x^2+10x+24)

Answer:

80 percent decrease

Step-by-step explanation:

80% of 50 = 40 and 50 - 40 = 10

Answer:

It decreases 80%

Step-by-step explanation:

If the 50g one is 100%, and the 10g one is a fraction of that, find out what 10/50 is as a percent.  

10/50= 20%

Because this is the remaining mass, the other 80% has been deducted meaning that the mass of the large container has decreased 80% to get to the mass of the smaller one.  

Answer:

C

Step-by-step explanation:

The solution triangle is attached below :

Tonobtinnthe Angle formed, θ; we apply trigonometry ;

Using ;

Cos θ = Adjacent / hypotenus

Cos θ = 4 / 7

θ = Cos^-1(4/7)

θ = 55.15°

θ = 55°

Answer:

9 basketballs

15 footballs

Step-by-step explanation:

The number of basketballs will be y.

The number of basketballs will be y + 6.

y + y + 6 = 24

2y + 6 = 24

2y + 6 - 6 = 24 - 6

2y = 18

2y ÷ 2 = 18 ÷ 2

y = 9

y + 6

9 + 6 = 15

Answer:

(3x) ° + (x+ 10)° = 90°

Step-by-step explanation:

(3x) ° + (x+ 10)° = 90°

3x + x + 10 = 90

4x = 90 - 10

4x = 80

x = 20

(3x) ° = 3 x 20 = 60°

(x + 10)° = 20 + 10 = 30°

Answer: you can either do 3x°(x+10)° or (x+10)°+3x°

the choice is yours. Hope this helps

Answer:

c espero q passe na prova tudo de bom pra vc

Answer:

if you put that equation into a graphing calculator the answer is 4188.37

Answer:

O The rectangle did not change shape or size.

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Isometric transformation is a transformation that preserves the shape and size of the figure. Types of isometric transformations are reflection, translation and rotation.

The rectangle represents an  isometric transformation because the rectangle did not change shape or size.

Answer:

D. Confidence interval decreases.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

When sample size increases:

The standard deviation of the sample mean is:

[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]

That is, it is inversely proportional to the sample size, so if the sample size incerases, the standard deviation decreases, and so does the confidence interval.

This means that the correct answer is given by option D.

Answer:

option B

Step-by-step explanation:

[tex]\sqrt[3]{x^5 \ y} = (x^5 \ y )^\frac{1}{3} \ \ \ \ \ \ \ \ \ \ \ \ [ \ \sqrt[n]{x} = x^\frac{1}{n} \ \ , \ (xy)^a = x^a y^a]\\\\[/tex]

        [tex]= x^{ (5 \times \frac{1}{3} )} \ y ^{\frac{1}{3} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ ( x^a )^b = x^{ab} \ ]\\\\\\[/tex]

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

Answer:

option D

Step-by-step explanation:

[tex]9x^2 + 6x - 17 = 0 , \ where \ a = 9 \ , \ b = 6 \ , c = - 17[/tex]

[tex]x = \frac{ - b \ \pm \sqrt{b^2 - 4ac}}{2a} \\\\x = \frac{-6 \pm \sqrt{36 - (4 \times 9 \times -17)}}{2 \times 9}\\\\x = \frac{-6 \pm \sqrt{ 36 + 612}}{18}\\\\x = \frac{-6 \pm \sqrt{ 648}}{18}\\\\x = \frac{-6 \pm \sqrt{ 2^3 \times 3^4}}{18}\\\\x = \frac{-6 \pm \sqrt{2 \times 2^2 \times 3^ 4 }}{18}\\\\x = \frac{-6 \pm ( 2 \times 9 )\sqrt{ 2}}{18}\\\\x = \frac{-6 \pm 18\sqrt{2}}{18}\\\\x = \frac{-1 \pm 3 \sqrt{ 2}}{3}[/tex]

Step-by-step explanation:

Since he sold $70,834 worth of cars, he earned an extra 5% commission on the sale. That means he got

0.05×($70,834) = $3,541.70

Therefore, his salary for the month m is

m = $2250 + 0.05s = $2,250 + $3,541.70 = $5,791.70

Answer:

Step-by-step explanation:

Add all of the Maintenance costs up, divide by 80. (the number of costs).

Excel formula =SUM(F2:F81)  364151.00/80 = 4551.8875 Rounded to 4552 is your answer.

9514 1404 393

Answer:

  y = 21/x

Step-by-step explanation:

The inverse variation relation means ...

  y = k/x

For the given values, we can determine the constant k:

  3 = k/7

  3×7 = k = 21

Then the function is ...

  y = 21/x

Answer:d

Step-by-step explanation:because it is i think

Answer:

2/9

Step-by-step explanation:

7/9×18/63

Rewriting

7/63  * 18/9

1/9 * 2/1

2/9

[tex]\longrightarrow{\green{ \frac{2}{9}}}[/tex] 

[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]

✒[tex] \: \frac{7}{9 } \times \frac{18}{63} [/tex]

✒[tex] \: \frac{2}{9} [/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Answer:

0.3233

0.09

Step-by-step explanation:

Given that :

Mean, λ = 0.25 for a 100,000 per week

For a population of 800,000 :

λ = 800,000 / 100,000 * 0.25 = 8 * 0.25 = 2 orders per week

Probability that technician is required after one week ;

After one week, order is beyond 2 ; hence, order, x ≥ 3

P(x ≥ 3) = 1 - [p(x=0) + p(x= 1) + p(x =2)]

P(x ≥ 3) = 1 - e^-λ(1 + 2¹/1! + 2²/2!)

P(x ≥ 3) = 1 - e^-2(1+2+2) = 1 - e^-2*5 = 1 - e^-10

P(x ≥ 3) = 1 - e^-2 * 10

P(x ≥ 3) = 1 - 0.6766764

P(x ≥ 3) = 0.3233

B.)

Mean, λ for more than 2 weeks = 2 * 2 = 4

P(x < 2) = p(x = 0) + p(x = 1)

P(x < 2) = e^-4(0 + 4^1/1!)

P(x < 2) = e^-4(0 + 4) = e^-4(5)

P(x < 2) = e^-4(5) = 0.0183156 * 5 = 0.0915

P(x < 2) = 0.09

Answer:

2/7

Step-by-step explanation:

Step-by-step explanation:

As a ream or

500

sheets of paper weigh

4.818

pounds

One sheet of paper weighs

4.818

500

=

0.009636

pounds.

It is apparent that pound is too big a unit for a sheet of paper.

As each pound has

16

ounces, one can say

one sheet of paper weighs

0.009636

×

16

=

0.154176

ounces.

If ounce is too big, as we have

1

pound equal to

28.34952

grams

one sheet of paper weighs

0.154176

×

28.34952

≈

4.371

grams

please mark as brainliest

Answer:

Here we know that:

[tex]m(v) = \frac{M_0}{\sqrt{1 - \frac{V}{C} } }[/tex]

Where V is the speed, C = 3*10^8 m/s

We want to solve:

[tex]m(v) = \frac{M_0}{\sqrt{1 - \frac{V}{C} } } = 2*M_0[/tex]

We can just isolate V from the above equation, so we will get:

[tex]\frac{M_0}{\sqrt{1 - \frac{V}{C} } } = 2*M_0[/tex]

[tex]\frac{1}{\sqrt{1 - \frac{V}{C} } } = 2[/tex]

[tex]1 = 2\sqrt{1 - \frac{V}{C} }[/tex]

[tex](1/2)^2 = 1 - \frac{V}{C}[/tex]

[tex]V = (1 - (1/4))*C = (3/4)*C = (3/4)*3*10^8 m/s = (9/4)*10^8 m/s[/tex]

That is the velocity such that the effective mass is twice the rest mass.

Answer:

use 0-9 to fill in blanks

Step-by-step explanation:

Answer:

Then t(s) is in the rejection region for H₀  we reject H₀  and conclude that the aspirin will reduce a child´s fever

Step-by-step explanation:

Tem.Before    Tem.After       diff.      

103.7                   102.6            1.1

103.7                   102.7             1

100.7                     98.8             1.9

102.7                    103.5            -0.8

100.7                      99.4             1.3

102.4                      101.41           (Mean)

1.4                             1.9              0.9       Std. Dev.

n =  6

df  =  6  -  1  =  5

CI we propose to be 95 %

Then  α  = 5 %  α = 0.05    

The test is a one-tail test ( we want to know if taking aspirin will reduce a child´s fever

Hypothesis test

Null Hypothesis                      H₀         μd  = 0

Alternative Hypothesis          Hₐ         μd > 0

(NOTE:)   μd (average) = Temp Before  -  Temp. after

Therefore if   μd >  0   means that there is a statistical difference between values before ( bigger ) and after  or that the aspirin will reduce a child´s fever

To find t(c)  from t-student table  df = 5  and α = 0.05

t(c)  =  2.015

To compute  t(s)

t(s)  =  μd/ sd/√n      t(s)  =  0.98/ 0.9/√6

t(s)  =  2.66

Comparing  t(s) and  t(c)

t(s) > t(c)    

Then t(s) is in the rejection region for H₀  we reject H₀  and conclude that the aspirin will reduce a child´s fever

Answer: 3×4=12

Step-by-step explanation:

Brackets: X=1 , so 1+3=4 and 3+4=12

Answer:

10 miles

Step-by-step explanation:

10 miles= 16093.44km

44880ft=13.679424km

15560yards= 14.228064

Answer:

76.92 boxes each or round up to 77

Step-by-step explanation:

1000 ÷ 13 = 76.92

49 dollars

Step-by-step explanation:

14 times 3 is 42 and 3.50 times 2 is 7, so 42 plus 7 is 49.

Total cost with 2 snacks = $35

Total cost with x  snacks = 28+3.50x

Given :

Carson is going to see a movie and is taking his 2 kids. Movie ticket costs $14 and snacks cost $3.50.

Explanation :

Carson buys 2 snacks . we need to find the total cost that Carson have to pay where he buy 2 snacks.

Total cost = cost of ticket (2 kids) + cost of 2 snacks

[tex]Total \; cost = 14(2) + 2(3.50)=35[/tex]

Total cost with 2 snacks = $35

Total cost with x snacks = cost of ticket (2 kids) + cost of x snacks

[tex]Total \; cost = 14(2) + 3.50(x)\\Total \; cost = 28+3.50x[/tex]

Total cost with x  snacks = 28+3.50x

Learn more :  brainly.com/question/17565961

Answer:

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