Find the value of each variable.
4V3
b
60°
45°
C
d

Answer:

13.95 units

Step-by-step explanation:

[tex] \sin \: 35 \degree = \frac{8}{x} \\ \\ \therefore \: x \: = \frac{8}{\sin \: 35 \degree} \\ \\ \therefore \: x \: = 13.9475744 \\ \\ \therefore \: x \: = 13.95 \: units[/tex]

Answer: 99

Step-by-step explanation:

Since the average of all four tests is 94:

[tex]\frac{95+92+90+x}{4} =94\\\\(4)\frac{277+x}{4} =(4)94\\\\277+x=376\\\\x=376-277=99[/tex]

Answer:

The Answer is         129

Step-by-step explanation:

We substitute x + 3 for X in F(x):

f(g(x)) = (x + 3)^3 +4

f(g(2)) = (2 + 3)^3 + 4

=125 + 4

=129

Answer:

C) or 1.25

Step-by-step explanation:

all you have to do is divide (thats how you undo multiplication)  150 and 120 (150/120) leading you to get 1.25.

HOPE THAT HELPED :D

Answer:

The angles are : 30° , 60° , 90°

Step-by-step explanation:

Sum of angles in a triangle = 180°

Given: the angles are in the ratio = 1 : 2 : 3

          Sum of the ratio = 6

Therefore , the angles are

                                   [tex]first \ angle = \frac{1}{6} \times 180^\circ = 1 \times 30 = 30^\circ\\\\second \ angle = \frac{2}{6} \times 180^\circ = 2 \times 30 = 60^\circ\\\\third \ angle = \frac{3}{6} \times 180^\circ = 3 \times 30 = 90^\circ[/tex]

[tex]\displaystyle\bf \angle1:\angle2:\angle3=x:2x:3x\\\\x+2x+3x=180\\6x=180\\x=30 \\\angle3=3x=30\cdot3=90 \\\\Answer: \angle3=90^o[/tex]

Answer:

Step-by-step explanation:

The formula for this is

14(20) = 25x and

280 =25x so

x = 11.2

Answer:

58

Step-by-step explanation:

Answer:

I believe it would be 6.5184*10^-3

Step-by-step explanation:

If wrong please tell me

Answer:

t = 14 seconds

Step-by-step explanation:

Given that,

A package is accidentally dropped from a helicopter from a height of 3,136ft.

The equation for height as a function of time is :

[tex]h(t) = -16t^2 + \text{initial height}[/tex]

So,

[tex]h(t) = -16t^2 +3,136[/tex]

When it hits the ground, h(t) = 0

So,

[tex]-16t^2 +3,136=0\\\\-16t^2=-3136\\\\t^2=\dfrac{3136}{16}\\\\t^2=196\\\\t=14\ s[/tex]

So, it will take 14 seconds for the package to hit the ground.

Answer:

Jeff is moving faster.

Step-by-step explanation:

To compare two speeds, first we make them in one unit.

We know that,

1 km/h = 0.2777 m/s

7 km/h = 1.94 m/s

Jeff can run at a speed of 7 km/h i.e. 1.94 m/s while Cameron can run with a speed of 10 m/min or 0.167 m/s.

On comparing 1.94 m/s and 0.167 m/s, we found that Jeff is moving with more speed.

So, Jeff is faster.

Answer:

122-152z

Step-by-step explanation:

-6+ 8(16 - 19z)

= -6 + 128 - 152z

= 122 - 152z

I hope this helps!

Answer:

2x-4+14=26    add -4+14 this will give you +10

2x+10=26       subtract 10 on both side this will give you 16

2x=16        divide by 2 on both side this will give you 8

x=8

Step-by-step explanation:

Answer:

The answer:

The choose (C) –3

Answer:

The random variable is discrete. :)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

simplify equation A

then you will get same as the expression above

Answer:

I think its 56 = 56

Step-by-step explanation:

Answer:

8 and 48

Step-by-step explanation:

This can be written as a system of equations. X will be the smaller number and y will be the larger:

6x = y

x + y = 56

Then substitute y in the second equation for 6x(seen in first equation) and solve.

x + 6x = 56

7x = 56

x = 8

So one number is 8. To find the other plug in 8 for x in either of the original equations (both get the same answer for y).

6x = y

6 * 8 = y

48 = y

Then double check by seeing if they fit the requirements of the problem.

Hope this helps!

Answer:

22°

Step-by-step explanation:

180° - 158° = 22°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Hello!

(1/3)^2x = (1/3)^x+14 <=>

<=> 2x = x + 14 <=>

<=> 2x - x = 14 <=>

<=> x = 14

Good luck! :)

Answer;

x² = 42 - 2

3

Step-by-step explanation:

#carryonlearning

Answer:

Step-by-step explanation:

y² - 3x² = 6

Subtract y² from both sides

-3x² = 6 - y²

Divide by -3

[tex]\frac{-3x^{2}}{-3}=\frac{6-y^{2}}{-3}\\\\x^{2}=\frac{y^{2}-6}{3}[/tex]

Answer:

-3

Step-by-step explanation:

-8(1-4x)=-104

1-4x=-104/-8

1-4x=13

4x=1-13

4x=-12

x=-12/4

x=-3

Answer:

no it is not perpedicular

Step-by-step explanation:

I plugged the equation into a graphing calculator and the line does not appear to be perpendicular

Answer:

3y = 5x+4

3y=9x

yx=9/3

yx=3

The function F(x) would be F(x) = 0.2x² - 3.

A mathematical phrase, rule, or legislation that establishes the link between an independent variable and a dependant variable (the dependent variable).

We are given a graph of the function G(x) as:

G(x) = x²

We are required to determine a potential representation of the function F (x).

We are aware that the function F(x) graph is a horizontal extension of the function G(x).

This indicates that "k" is the factor that is multiplied by G(x).

where 0< k <1.

The graph is also 3 units vertically down, which causes the graph.

So, the graph is shifted 3 units vertically down hence the graph of the resulting function F(x) is:

F(x) = 0.2x² - 3

Learn more about Function here:

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Answer:

6.66 % per year.

Step-by-step explanation:

Hope it help you

Answer:

66 percent per year

Step-by-step explanation:

I hope this will help you

pls add me as brainliest.

Answer:

x = 25°

Step-by-step explanation:

3x + 2x + x + 30° = 180°

6x + 30° = 180°

6x = 150°

x =25°

=> 3x = 25 * 3 = 75°

=> 2x = 25 * 2 = 50°

=> x + 30° = 25° + 30° = 55°

Explanation:

Angle E is 90 degrees. The segment DC = 53 is opposite this angle. Note how "DC" does not contain the letter "E". Furthermore, note how this is the largest side. So it's the hypotenuse.

The side ED = 28 is the opposite side of reference angle C, because "C" is nowhere to be found in the sequence "ED".

The side CE = 45 is the adjacent side because "E" is found in "CE".

The tangent ratio is...

tan(angle) = opposite/adjacent

tan(C) = ED/CE

tan(C) = 28/45

Answer:

6.25 gallons

Step-by-step explanation:

If 125 gallon tank in equivalent to 5ft

1 foot is equal to 12inches...

5 ft ×12 =60 inches

So 125 gallon tank= 60 inches

If 60 inches = 125 gallon

3 inches = 125 × 3 / 60

= 375/60

= 6.25 gallons

Answer:

57 x 1 =57

Step-by-step explanation:

Please remember identity property of multiplication says

An integer * 1 = the same integer

Using this property

57 x 1 = 57

Answer:

The 99% confidence interval for the true mean milk production is between 26.33 kg/d and 29.67 kg/d.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

Now, find the margin of error M as such

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

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 2.575\frac{2.25}{\sqrt{12}} = 1.67[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 28 - 1.67 = 26.33 kg/d.

The upper end of the interval is the sample mean added to M. So it is 28 + 1.67 = 29.67 kg/d.

The 99% confidence interval for the true mean milk production is between 26.33 kg/d and 29.67 kg/d.

Let x be the number of goals that Jagan scored, then Shaun scored x + 9 goals and Baharat scored x + 9 + 6 = x + 15 goals.

What in mathematics is a linear equation?

According to Wolfram MathWorld A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

We know that the total number of goals is the sum of the goals each player scored, which is x + (x + 9) + (x + 15) = 69

We can express this as 3x + 33 = 69

Then we can subtract 33 from both sides to get 3x = 36

Then we divide both sides by 3 to get x = 12

Then we can substitute the value of x back to find the number of goals each player scored:

Jagan: x = 12

Shaun: x + 9 = 12 + 9 = 21

Baharat: x + 15 = 12 + 15 = 27

So Jagan scored 12 goals, Shaun scored 21 goals and Baharat scored 27 goals.

Learn more about linear equation

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Answer:

Domain is [-5, 5]

Range is [-3, 17]

Step-by-step explanation:

R1 = {(x, y)| y = 2x + 7, where x∈ R and -5 ≤ x ≤ 5}

The domain is given by the all possible input values of x . Here the function is defined for -5 ≤ x ≤ 5, so the domain is [ - 5, 5].

The range is given by the output values  of he function.

When x = - 5

f (- 5) = 2 (-5 ) + 7 = - 3

When x = 5

f (5) = 2 (5) + 7 = 17

So, the range is [ -3 , 17].