TRIANGLE ABC IS DILATED BY A SCALE FACTOR OF 0.5 WITH THE ORIGIN AS THE CENTER OF DILATION, RESULTING IN THE IMAGE TRIANGLE A'B'C. IF A=(2,2). IF A (2,2), B= (4,3) AND C=(6,3), WHAT IS THE LENGTH OF LINE B'C'?

Answer:

0.0499

Step-by-step explanation:

The p-value can be calculated using technology. The p-value is computed by using F distribution right tailed excel function. The excel function "F.DIST.RT(4.76,3,6)" gives desired p-value which is 0.0499.

The p-value shows that the for 5% level of significance the null hypothesis can be rejected.

Answer:

7/44

Step-by-step explanation:

First find the total number of presidents.

2 + 7 + 13 + 12 + 7 + 3 = 44

There were 7 presidents that were 45-49 when elected.  Divide this number by the total number of presidents to find the fraction.

7/44 ≈ 0.159

Answer:

3 <1<4<2

hope it worked

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Answer:

3>1>2>4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Firstly let us calculate the amount of hours you will have to work in a week.

Since you will have to work Mondays through Fridays, hence you will be working 5 days in a week.

Hence in a week you will work 8.5*5= 42.5 hours in a week

Since in 1 hours you are mandated to pick 45 units

Hence in 42.5 hours you will pick 42.5*45= 1912.5 units

Answer:

5x 10 ^-5

Step-by-step explanation:

UHM that would be

NaN × [tex]10^{0}[/tex]

I hope this helps!

so my reasoning...  Any number that can be written in the decimal form between 1.0 to 10.0 multiplied by the power of 10.  

Answer:

Step-by-step explanation:

[tex]\dfrac{4}{x}+\dfrac{4}{x^2-9}=\dfrac{3}{x-3}[/tex]

Domain:

[tex]x\neq0\ \wedge\ x^2-9\neq0\ \wedge\ x-3\neq0\\\\x\neq0\ \wedge\ x\neq\pm3[/tex]

solution:

[tex]\dfrac{4}{x}+\dfrac{4}{x^2-3^2}=\dfrac{3}{x-3}[/tex]

use (a - b)(a + b) = a² - b²

[tex]\dfrac{4}{x}+\dfrac{4}{(x-3)(x+3)}=\dfrac{3}{x-3}[/tex]

multiply both sides by (x - 3) ≠ 0

[tex]\dfrac{4(x-3)}{x}+\dfrac{4(x-3)}{(x-3)(x+3)}=\dfrac{3(x-3)}{x-3}[/tex]

cancel (x - 3)

[tex]\dfrac{4(x-3)}{x}+\dfrac{4}{x+3}=3[/tex]

subtract [tex]\frac{4(x-3)}{x}[/tex] from both sides

[tex]\dfrac{4}{x+3}=3-\dfrac{4(x-3)}{x}\\\\\dfrac{4}{x+3}=\dfrac{3x}{x}-\dfrac{(4)(x)+(4)(-3)}{x}\\\\\dfrac{4}{x+3}=\dfrac{3x-\bigg(4x-12\bigg)}{x}\\\\\dfrac{4}{x+3}=\dfrac{3x-4x-(-12)}{x}\\\\\dfrac{4}{x+3}=\dfrac{-x+12}{x}[/tex]

cross multiply

[tex](4)(x)=(x+3)(-x+12)[/tex]

use FOIL

[tex]4x=(x)(-x)+(x)(12)+(3)(-x)+(3)(12)\\\\4x=-x^2+12x-3x+36[/tex]

subtract 4x from both sides

[tex]0=-x^2+12x-3x+36-4x[/tex]

combine like terms

[tex]0=-x^2+(12x-3x-4x)+36\\\\0=-x^2+5x+36[/tex]

change the signs

[tex]x^2-5x-36=0\\\\x^2-9x+4x-36=0\\\\x(x-9)+4(x-9)=0\\\\(x-9)(x+4)=0[/tex]

The product is 0 if one of the factors is 0. Therefore:

[tex]x-9=0\ \vee\ x+4=0[/tex]

[tex]x-9=0[/tex]            add 9 to both sides

[tex]x=9\in D[/tex]

[tex]x+4=0[/tex]          subtract 4 from both sides

[tex]x=-4\in D[/tex]

Answer:

16

Step-by-step explanation:

6*2 = 12

12 + 4 = 16

Answer:

A.50,000 units

B.62,500 units

C.Process A with a profit of $700,000 to maximize profit

Step-by-step explanation:

A.Calculation for the breakeven volume for Process A

Using this formula

Breakeven volume for Process A= Fixed cost/(Sales per units-Variable cost per units)

Let plug in the formula

Breakeven volume for Process A=500,000/(35-25)

Breakeven volume for Process A=500,000/10

Breakeven volume for Process A=50,000 units

B.Calculation for the breakeven volume for Process B

Using this formula

Breakeven volume for Process B= Fixed cost/(Sales per units-Variable cost per units)

Let plug in the formula

Breakeven volume for Process B=750,000/(35-23)

Breakeven volume for Process B=750,000/12

Breakeven volume for Process B=62,500 units

C. Calculation for what the company should do if the total demand (volume) is 120,000 units

Using this formula

Profit=(Total demand*(Sales per units-Variable cost per units for Process A)- Process A fixed cost

Let plug in the formula

Profit =120,000*($35-$25)-$500,000

Profit=120,000*10-$500,000

Profit=1,200,000-$500,000

Profit= $700,000

Therefore If total demand (volume) is 120,000 units, then the company should select Process A with a profit of $700,000 to maximize profit.

Answer:

12.04

Step-by-step explanation:

Well to solve for the unknown side "c" we need to use the Pythagorean Theorem formula,

[tex]a^2 + b^2 = c^2[/tex]

We already have a and b which are 8 and 9 so we plug them in.

[tex](8)^2 + (9)^2 = c^2[/tex]

64 + 81 = c^2

145 = c^2

c = 12.04 rounded to the nearest hundredth.

Thus,

the unknown side is about 12.04.

Hope this helps :)

Answer:

1,-1,3,4

1,6,-2,-4

-4,6,-6,6

Step-by-step explanation:

I believe you just put in the values into the box. Watch the video to see how they did it to make sure it looks like how I did it.

Answer:

(1.5, -13.5)

Step-by-step explanation:

Midpoint Formula: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]

Simply plug in our coordinates into the formula:

x = (17 - 14)/2

x = 3/2

y = (-11 - 16)/2

y = -27/2

Answer:

(-1.5, -13.5)

Step-by-step explanation:

To find the x coordinate of the  midpoint, add the x coordinates and divide by 2

( 17+-14)/2 = 3/2 =1.5

To find the y coordinate of the  midpoint, add the x coordinates and divide by 2

( -11+-16)/2 = -27/2= - 13.5

Answer:

Answer E

Step-by-step explanation:

If you think about it, the origin is just (0,0). Now, think which one is the closest to that. (0,1/2), or answer E, should be your assumption.

Answer: 97

Step-by-step explanation:

Formula to compute the required sample size :

[tex]n= (\dfrac{\sigma\times z_{\alpha/2}}{E})^2[/tex]

, where [tex]\sigma[/tex] = standard deviation

E= Margin of error

[tex]z_{\alpha/2}[/tex] = Two tailed z-value.

Here, E= 20

[tex]\sigma[/tex] = 100

For 95% confidence level: [tex]z_{\alpha/2}[/tex] =1.96

Required sample size:

[tex]n=(\dfrac{100\times1.96}{20})^2\\\\=(5\times1.96)^2\\\\=96.04\approx97[/tex]

Hence, the required sample size : 97

The lowest common denominator is lcm(5, 3), which is 15.

The sum of 2/5 + 5/3 + 9/3 is 6/15 + 25/15 + 45/15, which is 76/15 or [tex]5\frac{1}{15}[/tex].

Answer:

The correct answer to this question is C: (72,24).

Step-by-step explanation:

We are given that:

The cost of 1 cap is $5 each

The cost of 1 t-shirt is $10 each

Let x be the number of caps sold

Let y be the number of t-shirt sold

In the context we are given that the drama club needs to raise at least $500 to go on the trip.

So based on this information we can create a inequality as:

the number of caps sold x (times) the cost of a single cap + the number of shirts x (times) the cost of a single t-shirt ≥ (greater than or equal to) 500

Inequality: 5x+10y ≥ 500 ( We used a greater than or equal to symbol because it said that the drama club need at least $500 for the trip.

Next we need to figure out how many caps and t-shirt were sold.

- We can already take out two of the options which are the two answer with negatives in them because we know that when you multiply a positive number with a negative number we get a negative number and we don't want that. (So Option A and Option D are out.)

Now all we do is plug x and y into our inequality equation ( 5x+10y ≥ 500 )

B) x=65 caps, y= 17.5 t-shirts ----> 5(65)+10(17.5) =500 which you get $500

YOU MAY THINK THIS IS THE ANSWER BUT! if you look closely at variable y it said they sold 17.5 t-shirt, but here there thing how do you sell 17 shirts and a half of shirt? Which means this option is also wrong!

C) x =72 caps, y =24 t-shirts ------> 5(72)+ 10(24)= $600 which is more than the original amount they were going for because it said at least $500.

So the correct option to this question is C, they sold 72 caps and 24 t-shirts and earned $600 dollars.

Answer: C

Step-by-step explanation: Each coordinate point is located within the solution set, as shown on the graph.

First, take out any solution that includes a negative number, since there cannot be a negative number of bags. So, (-2,10) and (9,-3) are not solutions.

Next, take out any solution that does not have all whole numbers because the bags are whole objects. So, (4.5,9) is not a solution.

So, (8,5) is a valid solution in the context of the situation.

Answer: Monomial.

Step-by-step explanation:

Ok, when we have a polynomial with only one term, this is a monomial.

If the polynomial has two terms, this is a binomial.

If the polynomial has 3 terms, this is a trinomial.

And so on.

In this particular case we have:

52*c^2*y^4

Where c and y may be variables.

We can see that here we have only one term, so this would be a monomial.

(notice that the number of variables does not affect the type of polynomial in this case, only the number of terms)

Answer:

binomial.

Step-by-step explanation:

The polynomial −50c3z3−41y220z4 has 2 terms, so it is a binomial.

Answer:

$435,000

Step-by-step explanation:

$760 per month * 12 months = $9,120

The minimum rent requires an annual rental cost of $9,120.

The annual rent was $20,520.

The excess was $20,520 - $9,120 = $11,400.

The amount of $11,400 of the rent was due to the gross sales in excess of $150,000.

$11,400 is 4% of the amount in excess of $150,000.

Let the amount in excess of $150,000 = x.

$11,400 = 4% of x

0.04x = 11,400

x = 285,000

$285,000 is the amount in excess of $150,000.

Total gross sales volume = $285,000 + $150,000 = $435,000

Answer:    The loss is 4%  

Step-by-step explanation:

Lets call litches that are 20 pcs per Rs 100  - litches A

that are 30 pcs per Rs 100- litches B

So a man can buy 2 pcs A per Rs 10

and 3 pcs B per Rs 10

OR

6x  pcs  A per  Rs  30x  

and 6x  pcs  B  per  Rs  20x

Now he gonna sell the 12x  litches  for y Rs

Lets find y from the proportion

12x  cost y

25   cost 100

y/12=100/25

y=48  Rs

So the man bought 6x A + 6x B  for 20x+30x=50 Rs

And then he sold them for 48 Rs

Obviously the man gonna loose the money.

Lets find the losses in %

(50-48)/50*100=200/50=4%

The loss is 4%  

Answer:

A. 24

Step-by-step explanation:

4/9 = x/54

x= 54*4/9     ===== multiplying both sides by 54

x= 24

Answer is 24, choice A is correct one

Answer:

The Central Limit Theorem says that if the sample size is more than 30, the data follows a normal sampling distribution. Since the sample size is 180, and that is more than 30, a Normal sampling distribution can be used.

Since a normal sampling distribution can be used, we should FAIL TO REJECT the null hypothesis because p = 0.20, which is more than the significance level of α = 0.08. There is NOT sufficient evidence to suggest that the alternative hypothesis is true.

Hope this helps!

Answer:

h = 7 degrees

Step-by-step explanation:

To find h, we know that it is positive because it increases in value, not decreases:

h = 65 - 58

h = 7

Answer:

h = 7°F

Step-by-step explanation:

58 + h = 65

h = 65 - 58

h = 7

Check:

68 + 7 = 65

Answer:

The elevation of the airplane decreases by 9 km.

Step-by-step explanation:

We use the distance-rate-time formula: d = rt.

Here, the rate is r = 0.15 km/min and the time is t = 60 min. Simply plug these into the formula:

d = rt

d = 0.15 * 60 = 9 km

So, the change in elevation in the last 60 minutes is 9 km. However, note that the rate is negative (-0.15 km/min), which means that the elevation actually is decreasing.

Thus, the answer is: the elevation of the airplane decreases by 9 km.

~ an aesthetics lover

Answer:

The elevation of the airplane _decrease_ by __9____ km

Step-by-step explanation:

Take the rate and multiply by the time to get the distance traveled

-.15 km per minute * 60 minutes

- 9 km

The plane will go down 9 km in that 60 minutes

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:

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!!

Answer:

80

Step-by-step explanation:

Answer:

a. Total amount after 65 years = $1179415.39

b. The total contribution to the account  = $288000

Step-by-step explanation:

Given annuity amount = $1800

Total number of years for contribution = 65 – 25 = 40 years

Interest rate  = 6%

a. Total amount after 65 years = Annuity[((1+r)^n -1) / r]

Total amount after 65 years = 1800×((1+.06/4)^(4 × 40) - 1)/(.06/4)

Total amount after 65 years = $1179415.39

b. The total contribution to the account =1800 × 4 Quarter × 40 Years

        The total contribution to the account  = $288000

Answer:

The answer is:

The fourth option,

{s | s <90}

Step-by-step explanation:

yes

Answer:

[tex]\boxed{s|s<90}[/tex]

Step-by-step explanation:

1/3s-6<24

Add 6 on both sides.

1/3s<30

Multiply both sides by 3.

s<90

Answer:

Step-by-step explanation:

[tex]A=\pi r^2\\Area = 36\pi\\r = ?\\36\pi = \pi r^2\\Divide \:both \:sides \:of\: the \:equation\: by\: \pi\\\frac{36\pi}{\pi} = \frac{\pi r^2}{\pi} \\r^2 = 36\\Find\: the\: square\: root\: of\: both\: sides\: \\\sqrt{r^2} =\sqrt{36} \\\\r = 6\: feet\\[/tex]

Answer:  438.5L = 438000ml

Step-by-step explanation:

Shortest is Vindale to Wildgrove to Clarksville

18.9 + 13.2 = 32.1 km.

Answer:

Option b and d

Step-by-step explanation:

With the following data,

H0:p=0.11

Ha:p≠0.11

The p-value was determined to be 0.106 and significance level of 0.05.

Since the p value (0.106) is great than 0.05, then we will fail to reject the null hypothesis and conclude that There is sufficient evidence to conclude the proportion of people over 65 years of age in a certain city is 11%