Determine the value of X....... Please

Determine The Value Of X....... Please

Answers

Answer 1

Answer:

x is approximately 53°

Answer 2

Answer:52.64°

Step-by-step explanation:

opp=31

hyp=39

sin x° =[tex]\frac{opp}{hyp}[/tex]

sin x°=31/39

sin x°=0.7949

x=[tex]sin^{-1} (0.7949)\\[/tex]

x=52.64


Related Questions

Write an inequality to model the situation.
A number exceeds 21.
n ≤ 21
n < 21
n > 21
n ≥ 21

Answers

Answer:

[tex]n >21[/tex]

Step-by-step explanation:

The number exceeds 21 or is greater than 21.

‘[tex]>[/tex]’ represents greater than.

Let the number be [tex]n[/tex].

[tex]n >21[/tex]

n > 21 is the answer

A sample of 150 CBC students was taken, and each student filled out a
survey. The survey asked students about different aspects of their college
and personal lives. The experimenter taking the survey defined the
following events:
A=The student has children
B = The student is enrolled in at least 12 credits
C = The student works at least 10 hours per week
The student found that 44 students in the sample had children, 73 were
enrolled in at least 12 credits, and 105 were working at least 10 hours per
week. The student also noted that 35 students had children and were
working at least 10 hours per week.
Calculate the probability of the event BC for students in this sample. Round
your answer to four decimal places as necessary.

Answers

Answer:

The probability of the event BC

= the probability of B * C = 48.6667% * 70%

= 34.0667%

Step-by-step explanation:

Probability of A, students with children = 44/150 = 29.3333%

Probability of B, students enrolled in at least 12 credits = 73/150 = 48.6667%

Probability of C, students working at least 10 hours per week = 105/150 = 70%

Therefore, the Probability of BC, students enrolled in 12 credits and working 10 hours per week

= 48.6667% * 70%

= 34.0667%

Sometimes distinct patterns around a trend line can be caused by A. statistical anomalies. B. dummy variables. C. seasonal variation. D. poor underlying data.

Answers

Answer:

C. Seasonal variation

Step-by-step explanation:

Distinct pattern around a trend line can be caused by seasonal variation.

Seasonal variation refers to a component of a time series which can be defined as the repetitive and predictable movement around the trend line in a year or less. It is caused by temperature, rainfall, public holiday and cycles of season

Seasonal variation can be detected by measuring the quantity of interest for small time intervals, such as days, weeks, months or quarters.

Firms affected by seasonal variation are usually interested in knowing their performance relative to the normal seasonal variation. They need to identify and measure this seasonality so as to help with planning.

Find the value of x.

Answers

Answer:

x = 26

Step-by-step explanation:

Since a triangle adds up to 180 degrees, we can do:

x + 4x - 5 + 55 = 180

5x + 50 = 180

5x = 130

x = 26

The graph of y=−x+2 is shown below.

Answers

Answer:

What is the question?

Step-by-step explanation:

there’s no graph shown

find the locus of a point which moves such that it is equidistant from (a,b) and (b,a)

Answers

Answer:

the line y = x

Step-by-step explanation:

(a, b ) and (b, a ) are reflections of each other in the line y = x.

They are therefore both equidistant from the line y = x

URGENT!!!!!! A 5 inch × 7 inch photograph is placed inside a picture frame. Both the length and width of the frame are 2x inches larger than the width and length of the photograph. Which expression represents the perimeter of the frame? REPLY IN COMMENTS PLEASE IM GLITCHING AND CANT SEE ANSWERS

Answers

Answer:

the perimeter of the square is just "(5+2x)(2)+(7+2x)(2)

Step-by-step explanation:

Answer:

2 × 10 + 2 × 14

Step-by-step explanation:

The frame is given to have measurements 2 times that of the photograph's measurements. We also know that the photograph is given by dimensions being 5 inch by 7 inch. Therefore the measurements of the frame should be 5 [tex]*[/tex] 2, which = 10 inches, by 7 [tex]*[/tex] 2 = 14 inches.

So the dimensions of the frame are 10 inch × 14 inch. As the frame is present as a rectangle, the perimeter is given by two times both dimensions together. That would be represented by the expression " 2 × 10 inch + 2 × 14 inch. " In other words you can say that the expression is 2 × 10 + 2 × 14 - the expression that represents the perimeter of the frame.

Calculate: 1/(1×3) + 1/(3×5) + ... + 1/(47×49) . Please give explanation

Answers

Answer:

4611/11515

Step-by-step explanation:

1/(1×3)- 1 times 3 simply equals 3. so the answer would be 1/3.

1/(3×5)- 3 times 5 simply equals 15. so the answer would be 1/15.

1/(47×49)- 47 times 49 is 2303. so the answer would be 1/2303.

after all this you find the common deonomator. The common denominator is 34545. 34545 divided by 3 equals to 11515 so you  muliplty that number by 1/3.  34545 divided by 15 equals to 2303 so you  muliplty that number by  1/15.

34545 divided by 2303 equals to 15 so you multiply that number by 1/2303. After adding all that together you get 13833/34545. However after you simplify that number you get 4611/11515

4km in the ratio 9:4:7​

Answers

Answer:

500km

Step-by-step explanation:

add all the proportions and then divide by 3. with conversion.

The board of directors of Midwest Foods has declared a dividend of $3,500,000. The company has 300,000 shares of preferred stock that pay $2.85 per share and 2,500,000 shares of common stock. After finding the amount of dividends due the preferred shareholders, calculate the dividend per share of common stock.

Answers

Answer:

$1.06 per share

Step-by-step explanation:

Calculation for dividend per share of common stock for board of directors of Midwest Foods

First step is to find the dividends due to the preferred shareholders

Dividends due to the preferred shareholders will be calculated as:

Using this formula

Total Dividend =Dividend- (Preferred stock *Per share of preferred stock )

Where,

Dividend=$3,500,000

Preferred stock =$300,000

Per share of preferred stock =$2.85

Let plug in the formula

Total Dividend =$3,500,000-($300,000*$2.85)

Total Dividend =$3,500,000-$855,000

Total Dividend =$2,645,000

The second step is to find Dividend per share of common stock

Using this formula

Dividend per share of common stock=Total dividend/Shares of common stock

Where,

Total dividend=$2,645,000

Shares of common stock=$2,500,000

Let plug in the formula

Dividend per share of common stock=$2,645,000/$2,500,000

Dividend per share of common stock=$1.06 per share

Therefore the dividend per share of common stock for board of directors of Midwest Foods will be $1.06 per share

Why can you not see any answers on brainless tonight? It was working earlier today.

Answers

Answer:

I;m wondering the same thing

Step-by-step explanation:

Answer: don’t know maybe a glitch or had something to do with the honor code

Step-by-step explanation:

Assume production time per unit is normally distributed with a mean 40 minutes and standard deviation 8 minutes. Using the empirical rule, what percent of the units are produced in MORE than 32 minutes?

Answers

Answer:

84%

Step-by-step explanation:

We find the z-score here

z= x-mean/SD = 32-40/8 = -1

So the probability we want to find is;

P(z>-1)

This can be obtained using the standard score table

P(z>-1) = 0.84 = 84%

Which of the following is a point-slope equation of a line that passes through
the points (5,2) and (-1,-6)?
A. y-2-(X-5)
B. y-2-(X-5)
C. y-2 =(x-5
D. V-2--0-5)

Answers

Please, check the options of the question. The point-slope equation needs the slope, m, in the equation.

Answer:

The point-slope equation of the points (5,2) and (-1,-6) is

[tex] \\ y - 2 = \frac{4}{3}(x-5)[/tex]  or,

[tex] \\ y + 6 = \frac{4}{3}(x+1)[/tex]

which are the same as

[tex] \\ 3y-4x+14 = 0[/tex] , (which is not a point-slope equation, though)

Step-by-step explanation:

The point-slope equation is given by:

[tex] \\ y - y_{1} = m(x - x_{1})[/tex]

Where m is the slope of the line:

[tex] \\ m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

Having the points (5,2) and (-1,-6), then

[tex] \\ m = \frac{-6 - 2}{-1 -5}[/tex]

[tex] \\ m = \frac{-8}{-6}[/tex]

[tex] \\ m = \frac{4}{3}[/tex]

Then, the point-slope equation of the points (5,2) and (-1,-6) is

[tex] \\ y - 2 = \frac{4}{3}(x-5)[/tex] or

[tex] \\ y + 6 = \frac{4}{3}(x+1)[/tex]

The below graph represents both lines (they are the same line).

1/6•4•(-1/3)•9•(-1/2)•5

Answers

Answer:

Step-by-step explanation:

its 5

1/6 *2 *3 *5=

1/3*3*5=

5

(4/4) PLEASE HELP! URGENT.. LAST QUESTION. WILL MARK BRAINLIEST AND 5 STARS IF CORRECT ASAP! -50POINTS-

Answers

Answer:

As x - , y - and as x , y -

option B is the correct option.

Step-by-step explanation:

f ( x ) = - 5x + 7x² - x + 9

Here, dominating term is ( -5x ) which has even exponent.

Now, as x - 5x - [ x ]

f (x) - [ -5x is dominating term ]

x , y -

as x - , ( -5x ) - [ x ]

as x - , y -

Hence, Option B is the correct option.

------------------------------------------------------------------

You just have to focus on leading term, which is the term that has highest exponent of variable, as in our case , it is -5x.

And then find leading coefficient, whether it is positive or negative degree ( power of variable) and whether it is even number or odd number)

Then, if leading coefficient is negative and degree is positive then always y will approach - .

Hope this helps...

Best regards!!

Answer:

As x goes to negative infinity, y goes to  - ∞

As x goes to infinity, y goes to  - ∞

Step-by-step explanation:

We need to look at the dominate term

-5x^4

As x goes to negative infinity

-5 *(- ∞) ^ 4 = -5 * ∞ = - ∞

As x goes to negative infinity, y goes to  - ∞

As x goes to  infinity

-5 *( ∞) ^ 4 = -5 * ∞ = - ∞

As x goes to infinity, y goes to  - ∞

Simplify the expression.
Write your answer without negative exponents. NEED AN ANSWER ASAP​

Answers

Answer:

[tex]\boxed{\frac{-3b^4 }{a^6 }}[/tex]

Step-by-step explanation:

[tex]\frac{-18a^{-8}b^{-3}}{6a^{-2}b^{-7}}[/tex]

[tex]\frac{-18}{6} \times \frac{a^{-8}}{a^{-2}} \times \frac{b^{-3}}{b^{-7}}[/tex]

[tex]-3 \times \frac{a^{-8}}{a^{-2}} \times \frac{b^{-3}}{b^{-7}}[/tex]

Apply the law of exponents, when dividing exponents with same base, we subtract the exponents.

[tex]-3 \times a^{-8-(-2)} \times b^{-3- (-7)}[/tex]

[tex]-3 \times a^{-8+2} \times b^{-3+7}[/tex]

[tex]-3 \times a^{-6} \times b^{4}[/tex]

[tex]{-3a^{-6}b^{4}}[/tex]

The answer should be without negative exponents.

[tex]a^{-6}=\frac{1}{a^6 }[/tex]

[tex]\frac{-3b^4 }{a^6 }[/tex]

Answer:

[tex] - \frac{3 {b}^{4} }{ {a}^{6} } [/tex]

Step-by-step explanation:

[tex] \frac{ - 18 {a}^{ - 8} {b}^{ - 3} }{6 {a}^{ - 2} {b}^{ - 7} } [/tex]

Reduce the fraction with 6

[tex] \frac{ - 3 {a}^{ - 8} {b}^{ - 3} }{ {a}^{ - 2} {b}^{ - 7} } [/tex]

Simplify the expression

[tex] \frac{ - 3 {b}^{4} }{ {a}^{6} } [/tex]

Use [tex] \frac{ - a}{b} = \frac{a}{ - b} = - \frac{a}{b \: } [/tex] to rewrite the fraction

[tex] - \frac{3 {b}^{4} }{ {a}^{6} } [/tex]

Hope this helps...

Best regards!!

At what point does the line
Y = -1/2 X + 2 intercept the Y-axis?

A. - 1
B. -1/2
C. 1
D. 2
E. -2

Answers

Answer:

D. 2

Step-by-step explanation:

The y-intercept is when the graph crosses the y-axis when x = 0. In that case, simply plug in x as 0:

y = -1/2(0) + 2

y = 2

Therefore, the graph crosses the y-axis at 2.

Answer:

D

Step-by-step explanation:

our equation is y= [tex]\frac{-1}{2}[/tex] x +2

-1/2 is the slope 2 is the y-intercept

so the answer is 2

if we want to verify our answer we can follow these steps

the y-intercept is given by calculating the image of 0

y= -1/2*0+2 = 2

so it's right

Solve the matrix equation.

Answers

Answer:

answer there

Step-by-step explanation:

hope it. was. helpful

I _____ some stuff A)'ve done B)'s do C)'s doing D)'s did E) 've

Answers

Answer:

A and E

Step-by-step explanation:

If the answer was A, it would translate to:

I have done some stuff.

If the answer was D, it would translate to:

I have some stuff.

Both of the sentences are grammatically correct, so A and E are the answers.

Incorrect:

B. - I's do some stuff - doesn't make sense

C. - I's doing some stuff - doesn't make sense

D. - I's did some stuff - doesn't make sense

A and E, is that answer

Five thousand dollars is deposited into a savings account at 2.5% interest compounded continuously.

a. What is the formula for A(t), the balance after t years?

b. What differential equation is satisfied by A(t), the balance after t years?

c. How much money will be in the account after 5 years? (Do not round until your final answer. Round your final

answer to the nearest cent as needed.

d. When will the balance reach $7,000? (Do not round until your final answer. Round your final answer to the

nearest tenth as needed.)

Answers

Answer:

A). A(t) = P(1+r/n)^(nt)

B). DA/Dt = np(1+r/n)^(t)

C). A(5) =$ 5664.0

D).t = approximately 13.5 years

Step-by-step explanation:

A(t) = P(1+r/n)^(nt)

P = $5000

n= t

r= 2.5%

After five years t = 5

A(t) = P(1+r/n)^(nt)

A(5) = 5000(1+0.025/5)^(5*5)

A(5) = 5000(1+0.005)^(25)

A(5)= 5000(1.005)^(25)

A(5) = 5000(1.132795575)

A(5) = 5663.977875

A(5) =$ 5664.0

When the balance A= $7000

A(t) = P(1+r/n)^(nt)

7000= 5000(1+0.025/n)^(nt)

But n= t

7000= 5000(1+0.025/t)^(t²)

7000/5000= (1+0.025/t)^(t²)

1.4= (1+0.025/t)^(t²)

Using trial and error

t = approximately 13.5 years

i would like some help thank you :)

Answers

Answer:

[tex]\angle AE = 32^{\circ}[/tex]

[tex]\angle EAD = 212^{\circ}[/tex]

[tex]\angle BE = 133^{\circ}[/tex]

[tex]\angle BCE = 227^{\circ}[/tex]

[tex]\angle AED = 180^{\circ}[/tex]

[tex]\angle BD = 79^{\circ}[/tex]

Step-by-step explanation:

The central angle of a circle is equal to 360º, whose formula in this case is:

[tex]\angle AB + \angle BC + \angle CD + \angle DE + \angle EA = 360^{\circ}[/tex]

In addition, the following conditions are known from figure:

[tex]\angle BC = 47^{\circ}[/tex], [tex]\angle DE = 148^{\circ}[/tex]

[tex]\angle DE + \angle EA = 180^{\circ}[/tex]

[tex]\angle CD + \angle DE = 180^{\circ}[/tex]

[tex]\angle AB + \angle BC + \angle CD = 180^{\circ}[/tex]

Now, the system of equations is now solved:

[tex]\angle EA = 180^{\circ}-\angle DE[/tex]

[tex]\angle EA = 180^{\circ}-148^{\circ}[/tex]

[tex]\angle EA = 32^{\circ}[/tex]

[tex]\angle CD = 180^{\circ}-\angle DE[/tex]

[tex]\angle CD = 180^{\circ}-148^{\circ}[/tex]

[tex]\angle CD = 32^{\circ}[/tex]

[tex]\angle AB = 180^{\circ} - \angle BC - \angle CD[/tex]

[tex]\angle AB = 180^{\circ}-47^{\circ}-32^{\circ}[/tex]

[tex]\angle AB = 101^{\circ}[/tex]

The answers are described herein:

[tex]\angle AE = 32^{\circ}[/tex]

[tex]\angle EAD = 212^{\circ}[/tex]

[tex]\angle BE = 133^{\circ}[/tex]

[tex]\angle BCE = 227^{\circ}[/tex]

[tex]\angle AED = 180^{\circ}[/tex]

[tex]\angle BD = 79^{\circ}[/tex]

Given: , ∠DAC ≅ ∠BCA Prove: ∆ADC ≅ ∆CBA Look at the proof. Name the postulate you would use to prove the two triangles are congruent. SAS Postulate SSS Postulate AAA Postulate

Answers

Answer:

  SAS Postulate

Step-by-step explanation:

The contributors to the proof are listed in the left column. They consist of a congruent Side, a congruent Angle, and a congruent Side. The SAS Postulate is an appropriate choice.

A national survey of 1000 adult citizens of a nation found that 25​% dreaded​ Valentine's Day. The margin of error for the survey was 3.6 percentage points with 90​% confidence. Explain what this means.

Answers

Answer:

There is 90% confidence that the proportion of the adult citizens of the nation that dreaded Valentine’s Day is between 0.214 and 0.286.

Step-by-step explanation:

The summary of the statistics from the information given is ;

At 90% confidence interval, 25​% dreaded​ Valentine's Day and the margin of error for the survey was 3.6 percentage points

SO;

[tex]C.I = \hat p \pm M.O.E[/tex]

[tex]C.I = 0.25 \pm 0.036[/tex]

C.I = (0.25-0.036 , 0.25+0.036)

C.I = (0.214, 0.286)

The 90% confidence interval for the proportion of the adult citizens of the nation that dreaded Valentine’s day is 0.214 and 0.286.

There is 90% confidence that the proportion of the adult citizens of the nation that dreaded Valentine’s Day is between 0.214 and 0.286.

A web page is accessed at an average of 20 times an hour. Assume that waiting time until the next hit has an exponential distribution. (a.) Determine the rate parameter λ of the distribution of the time until the first hit? (b.) What is the expected time between hits? (c.) What is the probability that t

Answers

Answer:

Step-by-step explanation:

Given that :

A web page is accessed at an average of 20 times an hour.

Therefore:

a. he rate parameter λ of the distribution of the time until the first hit = 20

b.  What is the expected time between hits?

Let consider E(Y) to be the expected time between the hits; Then :

E(Y) = 1/λ

E(Y) = 1/20

E(Y) = 0.05 hours

E(Y) = 3 minutes

(c.)  What is the probability that there will be less than 5 hits in the first hour?

Let consider X which follows Poisson Distribution; Then,

P(X<5) [tex]\sim[/tex] G(∝=5,  λ = 20)

For 5 hits ; the expected time will be :

Let 5 hits be X

E(X) = ∝/λ

E(X) = 5/20

E(X) =1/4

E(X) = 0.25 hour

E(X) = 15 minutes

From above ; we will see that  it took 15 minutes to get 5 hits; then

[tex]P(\tau \geq 0.25) = \int\limits^{\alpha}_{0.25} \dfrac{\lambda^{\alpha}}{\ulcorner^{\alpha}} t^{a\pha-1} \ e^{-\lambda t} \, dt[/tex]

[tex]P(\tau \geq 0.25) = \int\limits^{5}_{0.25} \dfrac{20^{5}}{\ulcorner^{5}} t^{5-1} \ e^{-20 t} \, dt[/tex]

[tex]\mathbf{P(\tau \geq 0.25) =0.4405}[/tex]

Need Answers ASAP!!!!

Answers

Answer:

15.9degrees

Step-by-step explanation:

in photo above

Answer:

[tex]\boxed{15.95\°}[/tex]

Step-by-step explanation:

The angle can be found by using trigonometric functions.

tan (θ) = [tex]\frac{opposite}{adjacent}[/tex]

tan (θ) = [tex]\frac{4}{14}[/tex]

θ = [tex]tan^{-1} \frac{4}{14}[/tex]

θ = 15.9453959

θ ≈ 15.95

STORE'S COST AND LIST PRICE
OF THREE STOVES
Model Store's Cost
List Price
Х
$520
$900
Y
$850
$1,800
Z
$700
$1,200
The chart above shows the store's cost and list price for three models of stoves sold by an appliance store.
During a 20 percent off sale, Gene bought a Model Y stove from this store. How much profit did the store
make on Gene's purchase? (Profit = Price paid - Store's cost)
O $260
O $380
O $590
O $760​

Answers

Answer:  C) $590

Step-by-step explanation:

Gene paid $1800 - $1800(0.2) = $1440 for Model Y

The store paid $850 for Model Y.

The profit was $1440 - $850 = $590

Determine if the survey question is biased. If the question is​ biased, suggest a better wording. How often do you eat fruit during an average week​?
1. Is the question​ biased?
A. ​Yes, because it influences the respondent into thinking that eating fruit is good for you. A better question would be​ "Do you think that eating fruit is good for​ you?"
B. ​No, because it influences the respondent into thinking that eating fruit is good for you.
C. ​Yes, because it does not lead the respondent to any particular answer. A better question would be​ "Why is eating fruit good for​ you?"
D. ​No, because it does not lead the respondent to any particular answer.
2. Choose the best question below.
A. Do you think that eating fast food is good for you?
B. Do you think that eating fast food is bad for you?
C. Why is eating fast food bad for you?
D. The original question is not biased.

Answers

Answer:

The correct answers are:

1. No, because it does not lead the respondent to any particular answer (D)

2. The original question is not biased (D)

Step-by-step explanation:

In developing survey questions, response biases are tendencies for respondents to respond inaccurately or falsely to a particular question and this largely has to do with the way the questions are framed. Biased questions build preconceived thoughts in the mind of the respondent, increasing the tendency for them to lean towards a particular answer.

In this example, the question "How often do you eat fruit during an average week?" is not biased because it does not suggest to the respondent whether eating fruits is good or bad, it just directs the respondent to a particular number, hence the question is not biased.

Solve the following for x. 3(x-2)-6x=4(x-5)

Answers

Answer:

x=2

Step-by-step explanation:

3(x-2)-6x=4(x-5)

Distribute

3x -6  -6x = 4x -20

Combine like terms

-3x-6 = 4x-20

Add 3x to each side

-3x-6+3x = 4x-20+3x

-6 = 7x-20

Add 20 to each side

-6+20 = 7x-20+20

14 = 7x

Divide by 7

14/7 =7x/7

2=x

Answer:

x = 2

Step-by-step explanation:

[tex]3(x - 2) - 6x = 4(x - 5)[/tex]

Distribute 3 through the parentheses

[tex]3x - 6 - 6x = 4(x - 5)[/tex]

Distribute 4 through the parentheses

[tex]3x - 6 - 6x = 4x - 20[/tex]

Collect like terms

[tex] - 3x - 6 = 4x - 20[/tex]

Move variable to L.H.S and change it's sign

[tex] - 3x - 4x - 6 = - 20[/tex]

Move constant to RHS and change it's sign

[tex] - 3x - 4x = - 20 + 6[/tex]

Collect like terms

[tex] - 7x = - 20 + 6[/tex]

Calculate

[tex] - 7x = - 14[/tex]

Divide both sides of the equation by -7

[tex] \frac{ - 7x}{ - 7} = \frac{ - 14}{ - 7} [/tex]

Calculate

[tex]x = 2[/tex]

Hope this helps..

Best regards!!

Find the sum of -395,102, -27, -95

Answers

Answer:

-415

Step-by-step explanation:

first, add -395+-27+-95, which equals -517

then, add 102 to -517(all you do is subtract 102 from 517 and put a negative sign in front of that answer), in which you would get -415.

Y = -4x + 11 , 3x + y = 1

Answers

Answer:

(10, -29)

Step-by-step explanation:

I assume you are looking for the solution to this system of equations.

Plug them both into a graphing calculator. The point where they cross is:

(10, -29)

Answer:(10, -29)

Step-by-step explanation:

Other Questions
Acting which emanates from within the actor such that actors feel the role from the inside, so that they experience the feelings of the character and their entire physiology becomes engaged in the character's life, in addition to reproducing the play's actions, are engaged in what expressions are equal to the problem? The graphed line shown below is y = negative 2 x minus 8. Which equation, when graphed with the given equation, will form a system that has infinitely many solutions? y = negative (2 x + 8) y = negative 2 (x minus 8) y = negative 2 (x minus 4) y = negative (negative 2 x + 8) HELP!! ANSWER FAST!!!How did humanism impact political thinking during the Renaissance? Hello!! I Need HElp ASAP PLEAASSEE The line of symmetry of the parabola whose equation is y = ax2 - 4x + 3 is x = -2. What is the value of "a"?-2- 1/2 -1 Zeke Company sells a single product. The selling price per unit is $32 and unit variable cost is $24. Fixed costs for the year are $100,200. What if selling price goes up by 0.15%, variable costs go up by 0.15% and fixed costs go up by 0.16%? What is the new breakeven point in units? a study of the annual population of toads in a county park shows the population, S(t), can be represented by the function S(t) = 152(1.045)^t, where the t represents the number of years since the study started. based on the function, what is the growth rate? How could gene therapy be used to treat diseases caused by mutated genes?A. It could deliver a corrected version of a gene to a person's cells.B. It could infect a person with a virus that is more harmful than themutationO C. It could change a few bases in a piece of mutated DNA in only onecell.D. It could change genes in an individual so that offspring cannot getthe disease. Which best describes what happens if two waves meet and build on each other?A. constructive interferenceB. destructive interferenceC. reflectionD. absorption The average age of 15 students is 16 years. If teachers age is included the average increases by 1. Find teachers age. (a) 30 years (b) 32 years (c) 58 years (d) 60 years Write h(x) = x2 - 6x + 3 in vertex form by following thesesteps:Step 1: Model x2 - 6x + 3 by placing tiles in the Productsection. First place the x2 and -x tiles along the leftand top borders to form two sides of a square. Thenplace the + tiles along the ends of the -x tiles. Which of the following is a factor of 5r? - 32x+12?a. x + 2b. X-3c. X+4.d. X-6e X --12 If the variance of a variable is 16, what is the standard deviation? Choose the correct word or expression.Los pasajeros toman una merienda enel pasillola bufetera Eosinophils function in Eosinophils function in production of heparin. production of surface antigens for red blood cells. blood coagulation. antibody production. destroying antibody-labeled antigens. True or False: Absolute rulers are sometimes subject to national assemblies and the will of the nobility. Select one: True False ASAP!!! NEED HELP!!!! Max is stacking logs at his campground for firewood. After his first load of logs, he has 8 logs on the stack. After his seventh load of logs, he has 62 logs on the stack. Use sequence notation to represent the arithmetic function. ANSWER CHOICES: A. an = 8 + 6(n 1) B. an = 62 + 6(n 1) C. an = 8 + 9(n 1) D. an = 62 + 9(n 1) The tee for the sixth hole on a golf course is 400 yards from the tee. On that hole, Marsha hooked her ball to the left, as sketched below. Find the distance between Marshas ball and the hole to the nearest tenth of a yard. Answer any time! :D History has demonstrated that the techniques employed in this laboratory exercise often overestimate an individual's actual resting tidal volume. List some reasons why these laboratory techniques might produce abnormally high values for resting tidal volume. Pro-Ana websites increased by how much in 2006 and 2007?