MATHEMATICS COLLEGE

Work out what x =
Please and explication

Answers

Answer 1

Answer:

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Suppose Tetha = alpha = 26°

Then ;

$\tan( \alpha ) = (y)/(x) \n$

$\tan(26°) = (8)/(x) \n$

$0.487 = (8)/(x) \n$

Multiply sides by x

$0.487x = 8$

Divide sides by 0.487

$x = (8)/(0.487) \n$

$x = 16.427$

$x≈ 16.43$

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A store charges 6% GCT on all sales. What is the total cost of a shirt marked at $30? *2 pointsYour answer
Nicole buys candy that costs $4 per pound. She will spend more than $28 on candy. What are the possible numbers of pounds she will buy?
Which expression is equivalent to −2.1+(−5.9)+(−3.7) ?(2.1+5.9)+(−3.7)−(2.1−5.9)+(−3.7)(2.1+5.9+3.7)−2.1−(5.9+3.7)
6.solve an inequality that represents the description and then solve Toni can carry up to 18 lb in her backpack.Her lunch weighs 1 lb, her gym clothes weigh2 lb, and her books (b) weigh 3 lb each. Howmany books can she carry in her backpack?

A 50 kg pitcher throws a baseball with a mass of 0.15 kg. If the ball is thrown with a positive velocity of 35 m/s and there is no net force on the system, what is the velocity of the pitcher? −0.1 m/s −0.2 m/s −0.7 m/s −1.4 m/s

Answers

Answer:

The velocity of the pitcher is −0.1 m/s

Step-by-step explanation:

Given : Mass of pitcher = 50 kg

Mass of Baseball= 0.15kg

Velocity of Ball = 35m/s

To Find : velocity of the pitcher

Solution :

The total momentum of the system is conserved when no external force acts on a system .The total initial momentum of the system is equal to the total final momentum of the system.

Since , the ball and the pitcher are initially at rest, therefore, the total initial momentum of the system is zero.

Since we are given that no external forces act on the system , the total final momentum of the system is also equal to zero.

Let us suppose the mass of the pitcher is $m_(p)$

Speed of pitcher = $v_(p)$

The mass of the ball is $m_(b)$

Speed of ball = $v_(b)$

So, the final momentum of the system of pitcher and the ball is given by:

$momentum =m_(p) v_(p) +m_(b) v_(b) =0$

⇒ $50* v_(p) +0.15*35 =0$

⇒ $50* v_(p) +5.25 =0$

⇒ $v_(p) = (-5.25)/(50)$

⇒ $v_(p) = -0.105$

Thus , The velocity of the pitcher is -0.105m/s≈−0.1 m/s

Negative sign shows the opposite direction.

Hence The velocity of the pitcher is −0.1 m/s

the answer is -0.1 m/s if you're looking for the Edgnuity answer. I just took the test. Hope this helps!

A line passes through A(3,7) and B(-4,9). Find the value of a if C(a, 1) is on the line.

Answers

Answer: a=24

Step-by-step explanation:

Lets find the line's formula (equation of the line).

As known the general formula of any straight line (linear function) is

y=kx+b

Lets find the coefficient k= (Yb-Ya)/(Xb-Xa)=(9-7)/(-4-3)=-2/7

(Xb;Yb)- are the coordinates of point B

(Xa;Ya) are the coordinates of point A

Now lets find the coefficient b. For this purpose we gonna use the coordinates of any point A or B.

We will use A

7=-2/7*3+b

7=-6/7+b

b=7 6/7

So the line' s equation is y= -2/7*x+7 6/7

Now we gonna find the value of a usingcoordinates of point C.

Yc=1, Xc=a

1=-2/7*a+7 6/7

2/7*a= 7 6/7-1

2/7*a=6 6/7

(2/7)*a=48/7

a=48/7: (2/7)

a=24

Answer:

a=24

Step-by-step explanation:

Find the range, variance, and standard deviation for the given sample data. Include appropriate units in the results.Listed below are the measured radiation absorption rates (in W/kg) corresponding to various cell phone models. If one of each model is measured for radiation and the results are used to find the measures of variation, are the results typical of the population of cell phones that are in use?
0.950.95
0.730.73
0.630.63
0.910.91
1.321.32
1.481.48
0.630.63
1.231.23
0.910.91
1.411.41
0.670.67
The range of the sample data is
nothing
▼
(Round to three decimal places as needed.)
Sample standard
deviationequals=nothing
▼
kg.kg.
left parenthesis Upper W divided by kg right parenthesis squared .W/kg2.
W.W.
Upper W divided by kg.W/kg.
(Round to three decimal places as needed.)
Sample
varianceequals=nothing
▼
kg.kg.
left parenthesis Upper W divided by kg right parenthesis squared .W/kg2.
Upper W divided by kg.W/kg.
W.W.
(Round to three decimal places as needed.)
If one of each model is measured for radiation and the results are used to find the measures of variation, are the results typical of the population of cell phones that are in use?
A. No, because it is necessary to have at least 5 of each cell phone in order to get a meaningful result. Only including one of each cell phone model is not representative of each cell phone model.
B. Yes, because the results from any sample of cell phones will be typical of the population.
C. Yes, because each model is being represented in the sample. Any sample that considers all possible cell phone models will produce results typical of the population of cell phones.
D. No, because some models of cell phones will have a larger market share than others. Measures from different models should be weighted according to their size in the population.

Answers

Answer:

$Range = 1.48-0.63=0.850 W/kg$

$s= 0.320 W/Kg$

$s^2 = 0.320^2= 0.103 W^2 /kg^2$

D. No, because some models of cell phones will have a larger market share than others. Measures from different models should be weighted according to their size in the population.

Step-by-step explanation:

For this case we have the following data values:

0.95,0.73,0.63,0.91,1.32,1.48,0.63,1.23,0.91,1.41,0.67

The first step on this case is order the datase on increasing way and we got:

0.63 0.63 0.67 0.73 0.91 0.91 0.95 1.23 1.32 1.41 1.48

The range is defined as $Range = Max-Min$

And if we replace we got:

$Range = 1.48-0.63=0.850 W/kg$

The sample standard deviation is given by this formula:

$s= \sqrt{(\sum_(i=1)^n (X_i -\bar X)^2)/(n-1)}$

And if we replace we got $s= 0.320 W/Kg$

And the sample variance is just the standard deviation squared so we got:

$s^2 = 0.320^2= 0.103 W^2 /kg^2$

And for the last question about : If one of each model is measured for radiation and the results are used to find the measures of variation, are the results typical of the population of cell phones that are in use?

We can conclude this:

D. No, because some models of cell phones will have a larger market share than others. Measures from different models should be weighted according to their size in the population.

A fish tank has a base, B, with an area, in square inches, modeled by B(x) = 2x^2 + 6x + 4. The height, H, in inches, is modeled by H(x) = x + 3. Find the equation that models the fish tank’s volume, V, in cubic inches.A. V(x) = 2x^2 + 7x + 7

B. V(x) = 2x^2 + 5x + 1

C. V(x) = 2x^3 + 12x^2 + 22x + 12

D. V(x) = 2x^3 + 8x^2 + 10x + 4

Answers

Answer:

C. V(x) = 2x^3 + 12x^2 + 22x + 12

Step-by-step explanation:

The volume of a fish tank is the multiplication of the area of the base by the height.

In this question:

Area of the base: $B(x) = 2x^(2) + 6x + 4$

Height: $H(x) = x + 3$

Volume:

$V(x) = B(X)*H(x) = (2x^(2) + 6x + 4)(x + 3) = 2x^(3) + 6x^(2) + 4x + 6x^(2) + 18x + 12 = 2x^(3) + 12x^(2) + 22x + 12$

So the correct answer is:

C. V(x) = 2x^3 + 12x^2 + 22x + 12

You need to borrow $15,000 to buy a car, and you determine that you can afford monthly payments of $325. The bank offers three choices: a 3-yearloan at 7% APR, a 4-year loan at 7.5% APR, or a 5-year loan a 8% APR. Which loan best meets your needs? Show your work and explain your reasoning.

Answers

The 4-year loan at 7.5% APR seems to be the best choice as it strikes a balance between a reasonable monthly payment and minimizing the total interest paid.

To determine which loan option best meets your needs, you should consider both the monthly payment amount and the total cost of the loan. Here's how you can calculate and compare the three options:

1. 3-year loan at 7% APR:

- Monthly payment: $325

- Total payments over the loan term: $325 * 12 months/year * 3 years = $11,700

- Total interest paid: $11,700 - $15,000 = $3,300

2. 4-year loan at 7.5% APR:

- Monthly payment: $325

- Total payments over the loan term: $325 * 12 months/year * 4 years = $15,600

- Total interest paid: $15,600 - $15,000 = $600

3. 5-year loan at 8% APR:

- Monthly payment: $325

- Total payments over the loan term: $325 * 12 months/year * 5 years = $19,500

- Total interest paid: $19,500 - $15,000 = $4,500

Now, let's analyze the options:

- The 4-year loan at 7.5% APR has the highest monthly payment but the lowest total interest cost, making it the most cost-effective option. However, you should ensure that the higher monthly payment fits comfortably within your budget.

- The 3-year loan at 7% APR has a lower interest cost than the 5-year loan but a higher monthly payment. It's a good middle-ground choice if you can afford the monthly payments.

- The 5-year loan at 8% APR offers the lowest monthly payment but results in the highest total interest cost. It's the least cost-effective option, and you would end up paying significantly more over the loan term.

Ultimately, the 4-year loan at 7.5% APR seems to be the best choice as it strikes a balance between a reasonable monthly payment and minimizing the total interest paid. However, ensure that the monthly payment aligns with your financial situation before making a decision.

For more such questions on monthly payment:

brainly.com/question/27926261

#SPJ2

Answer:

the 5yr/ $270mth

Step-by-step explanation:

$15k × 8% = $1200 interest

$15k + $1200 = $16,200.00

$16500 ÷ 60months (5years) = $270/mth pymt

How to write 7/9 as a decimal