PLEASE HELP! A) 6,135º C B) 6,681º C C) 502º C D) 47º C

Answer:answer is a (x+8)^2=86

Step-by-step explanation:

x+8=±√

​86

​

​​

2 Break down the problem into these 2 equations.

x+8=\sqrt{86}x+8=√

​86

​

​​

x+8=-\sqrt{86}x+8=−√

​86

​

​​

3 Solve the 1st equation: x+8=\sqrt{86}x+8=√

​86

​

​​ .

x=\sqrt{86}-8x=√

​86

​

​​ −8

4 Solve the 2nd equation: x+8=-\sqrt{86}x+8=−√

​86

​

​​ .

x=-\sqrt{86}-8x=−√

​86

​

​​ −8

5 Collect all solutions.

x=\sqrt{86}-8,-\sqrt{86}-8x=√

​86

​

​​ −8,−√

​86

​

​​ −8

x

​2

​​ +16x−22=0

2 Use the Quadratic Formula.

x=\frac{-16+2\sqrt{86}}{2},\frac{-16-2\sqrt{86}}{2}x=

​2

​

​−16+2√

​86

​

​​

​​ ,

​2

​

​−16−2√

​86

​

​​

​​

3 Simplify solutions.

x=-8+\sqrt{86},-8-\sqrt{86}x=−8+√

​86

​

​​ ,−8−√

​86

​

​​

The equivalent equation x² + 16x = 22 will be (x + 8)² = 86. Then the correct option is A.

The equivalent is the expressions that are in different forms but are equal to the same value.

The equation is given below.

x² + 16x = 22

Add both side 64.

x² + 16x + 64 = 22 + 64

         (x + 8)² = 86

Then the correct option is A.

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Answer:

288750006

Step-by-step explanation:

Growth rate:

Current population:

Predicted population after 10 years:

Answer:288,929,825

Step-by-step explanation:

This is the right answer.

Answer:

$798.20

Step-by-step explanation:

15.35 × 52 = 798.20

Answer:

4 units

Step-by-step explanation:

Since, M is between points C and Q, i. e. C - M - Q.

Therefore, CM + MQ = CQ

Therefore, 17 + MQ = 21

MQ = 21 - 17

MQ = 4

Answer:

M is between points C and Q. CM=17 and CQ=21.

What is MQ?

MQ= is 4, the same as on k12

Step-by-step explanation:

Answer:

P = 350 feet

Step-by-step explanation:

P = 2L + 2W

W = 70 feet

L = 105 feet

plug in values:

P = 2(105) + 2(70)

P = 210 + 140

P = 350 feet

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 11}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{6x = 2x + 44}[/tex]

Move 2x to left hand side and change it's sign

⇒[tex] \sf{6x - 2x = 44}[/tex]

Collect like terms

⇒[tex] \sf{4x = 44}[/tex]

Divide both sides of the equation by 4

⇒[tex] \sf{ \frac{4x}{4} = \frac{44}{4} }[/tex]

Calculate

⇒[tex] \sf{x = 11}[/tex]

Hope I helped!

Best regards!!

Answer:

We will fail to reject the null hypothesis and conclude that there is sufficient evidence not to support the researchers claim.

Step-by-step explanation:

We are given;

Population proportion; p = 68% = 0.68

Sample proportion; p^ = 93/144 = 0.6548

n = 144

The hypotheses are:

Null hypothesis;H0: p = 0.68

Alternative hypothesis;Ha: p ≠ 0.68

np = 144 × 0.6548 > 5 and nq = n(1 - p) = 144(1 - 0.68) > 5.

Since np and nq are more than 5, we can use the z-test .

z-formula in this case is;

z = (p^ - p)/√(p(1 - p))

Plugging in the relevant values, we have;

z = (0.6548 - 0.68)/√(0.68(1 - 0.6548))

z = -0.0252/0.4845

z = -0.052

From the z-table attached, we have a p-value of approximately 0.4801

P-value is higher than the significance level of 0.01.

Thus,we will fail to reject the null hypothesis and conclude that there is no sufficient evidence to support the researchers claim.

Answer: Median Mode Mean

Step-by-step explanation:

A normal distribution a symmetric distribution where most of the values lies around the central peak where Mean, median mode all lies together and the value of z=0 (as z-value given the distance of data values from mean with respect to the standard deviation).

i.e.  Z-score of 0 has 50% of the area to the left and 50% area to the right.

Hence, at a z-score of 0.0 in a normal distribution Mean, Median and Mode all fall together.

Answer:

32 weeks

Step-by-step explanation:

Total amount = 192

Each week he saves = 6

Number of weeks = x

=> 6x = 192

=> 6x/6 = 192/6

=> x = 32

It will take 32 weeks for him to buy the bicycle.

Answer:

1/27

Step-by-step explanation:

since the numerator is only one, just go ahead and write one on the numerator spot. Then you multiply the bottom 3^3 is 27, therefore you get 1/27th

Answer:

1/3 cubed is 1/27

Step-by-step explanation:

1/3*1/3*1/3 is equal to 1/27

Answer:

2.4

Step-by-step explanation:

60 min in a hour

84/60= 1.4

1.4 x 2 = 2.4

Answer:

11:30 PM

Step-by-step explanation:

This question is essentially asking for the lowest common multiple of 10, 20, and 30. If we write out all the multiples of each, we get:

10: 10, 20, 30, 40, 50, 60, 70, ...

20: 20, 40, 60, 80, ...

30: 30, 60, 90, ...

As you can see, the lowest common multiple is 60, and 60 minutes after 10:30 PM is 11:30 PM.

Step-by-step explanation:

The ratio simplified is 3:2 which is for every three cups of pancake mix there is 2 cups of milk. In this situation for each batch Vector wants to make of pancake he has to have 9 cups of pancake mix for every 6 cups of milk or the original 9:6 ratio.

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Tysm!

The constant of proportionality for the ratio of pancake mix to milk is 3/2. Hence, 3rd option is the right choice.

When two or more ratios are in proportion, their simplest form is always the constant. This simplest form is the constant of proportionality.

We are informed that Hector made a batch of pancakes for his guests. He used 6 cups of milk, 3 eggs, and 9 cups of pancake mix.

We are asked to find the constant of proportionality for the ratio of pancake mix to milk.

As pancake mix and milk are the ingredients used, they will always be in proportion. So to calculate their constant of proportionality, we take the ratio of pancake mix to milk and reduce it to its simplest form.

The ratio of pancake mix to milk = 9/6

Reducing this to its simplest form, we get the constant of proportionality = 3/2

∴ The constant of proportionality for the ratio of pancake mix to milk is 3/2. Hence, 3rd option is the right choice.

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Answer:

The numbers [tex]b[/tex] such that the average value of [tex]f(x) = 7 +10\cdot x - 9\cdot x^{2}[/tex] on the interval [0, b] is equal to 8 are [tex]b_{1} \approx 1.434[/tex] and [tex]b_{2} \approx 0.232[/tex].

Step-by-step explanation:

The mean value of function within a given interval is given by the following integral:

[tex]\bar f = \frac{1}{b-a}\cdot \int\limits^b_a {f(x)} \, dx[/tex]

If [tex]f(x) = 7 +10\cdot x - 9\cdot x^{2}[/tex], [tex]a = 0[/tex], [tex]b = b[/tex] and [tex]\bar f = 8[/tex], then:

[tex]\frac{1}{b}\cdot \int\limits^b_0 {7+10\cdot x -9\cdot x^{2}} \, dx = 8[/tex]

[tex]\frac{7}{b}\int\limits^b_0 \, dx + \frac{10}{b} \int\limits^b_0 {x}\, dx - \frac{9}{b} \int\limits^b_0 {x^{2}}\, dx = 8[/tex]

[tex]\left(\frac{7}{b} \right)\cdot b + \left(\frac{10}{b} \right)\cdot \left(\frac{b^{2}}{2} \right)-\left(\frac{9}{b} \right)\cdot \left(\frac{b^{3}}{3} \right) = 8[/tex]

[tex]7 + 5\cdot b - 3\cdot b^{2} = 8[/tex]

[tex]3\cdot b^{2}-5\cdot b +1 = 0[/tex]

The roots of this polynomial are determined by the Quadratic Formula:

[tex]b_{1} \approx 1.434[/tex] and [tex]b_{2} \approx 0.232[/tex].

The numbers [tex]b[/tex] such that the average value of [tex]f(x) = 7 +10\cdot x - 9\cdot x^{2}[/tex] on the interval [0, b] is equal to 8 are [tex]b_{1} \approx 1.434[/tex] and [tex]b_{2} \approx 0.232[/tex].

The full circle = 360 degrees

so x = all the full circle minus the other 3 angles

Now we sum the three angles we know [100, 46, 64]:

100 + 46 +64 = 210 degrees

Now we calculate x

x = 360 - 210 = 150 degrees

Answer:

332*14.4% = 332*.144 = 47.808

Answer:

65 candidates.

Step-by-step explanation:

From the above question, we have the following information

Total number of graduate students = n(B ∪ MP ∪ MC)

200 students

Number of students with bicycle = n(B) = 110

Number of students with MasterCard = n(MC) = 25

Number of students with Mobile phone = n(MP) = 130

Number of students with both bicycle and Master card = n ( B ∩ MC) = 50

Number of students with both Mastercard and Mobile phone = n ( MC ∩ MP) = 30

Number of students with both Bicycle and Mobile phone = n ( B ∩ MP) = 60

Number of students that had all three =

n ( B ∩ MP ∩ MC) = 10

Number of candidates that had none of the three = ( None of B ∩ MP ∩ MC)

Since this is a three element set, the formula is given as:

n(B ∪ MP ∪ MC) = n(B) + n ( MP) + n (MC) - n ( B ∩ MP) - n ( B ∩ MC) - n ( MC ∩ MP) + n (B ∩ MP ∩ MC) + ( None of B ∩ MP ∩ MC)

n(B ∪ MP ∪ MC) - ( None of B ∩ MP ∩ MC) = n(B) + n ( MP) + n (MC) - n ( B ∩ MP) - n ( B ∩ MC) - n ( MC ∩ MP) + n (B ∩ MP ∩ MC)

200 - ( None of B ∩ MP ∩ MC) = 110 + 25 + 130 - 60 - 50 -30 + 10

200 - ( None of B ∩ MP ∩ MC) = 110 + 25 + 130 + 10 - 60 - 50 - 30

= 200 - ( None of B ∩ MP ∩ MC) = 275 - 140

= 200 - ( None of B ∩ MP ∩ MC) = 135

( None of B ∩ MP ∩ MC) = 200 - 135

( None of B ∩ MP ∩ MC) = 65

Therefore, 65 candidates had none of the three

Answer:

A(5,1) B(-6,2) C(7-4)

Step-by-step explanation:

Answer:

[tex]4x^{3} +6[/tex]

Step-by-step explanation:

[tex]5*x^3\\\\=5x^3[/tex]

[tex]6-x^3[/tex]

I understand as increase as sum so

[tex](5x^3)+(6-x^3)\\\\5x^3+6-x^3\\\\(5-1)x^3+6\\\\4x^3+6[/tex]

Answer:

88,000

Step-by-step explanation:

If the down payment is $5,000and the monthly payment is $750. Then the amount of the truck through finance is $50,000.

The big-scale money management, particularly by governments or huge corporations.

Julio wants to purchase a truck.

The purchase price of the truck is $ 38,000.00.

The dealership will allow him to pay cash or finance the truck for a down payment of $ 5,000.00 and 60 monthly payments of $ 750.00.

Julio chooses to finance the truck.

If he makes the payment through finance. Then the amount of the money he has to pay will be

Amount = 5000 + 60 × 750

Amount = 5000 + 45000

Amount = $50,000

If he makes the payment through finance. Then the amount of money he has to pay is 50,000 dollars.

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Answer :   [tex]a_{n+1}=a_n+8[/tex]

Step-by-step explanation:

The given explicit formula : [tex]a_n=8n-3[/tex] , where n is a natural number.

At n=1 , [tex]a_1=8-3=5[/tex]

At n=2, [tex]a_2=8(2)-3=16-3=13[/tex]

At n=3 , [tex]a_3=8(3)-3=24-3=21[/tex]

We can see the common difference is 8.

So we can write [tex]a_{n+1}=a_n+8[/tex]

Hence, the recursive formula for the explicitly defined sequence is  [tex]a_{n+1}=a_n+8[/tex]

Answer:

Step-by-step explanation:

If single rolls are indeed priced at $89 each, the 3-roll package is a much better buy.

We suspect that the single rolls are priced at $0.89 each, which means you can buy 3 of them for less than $2.70. At this price, single rolls are a better buy.

Complete Question

Find a formula for the sum of n terms.   [tex]\sum\limits_{i=1}^n ( 8 + \frac{i}{n} )(\frac{2}{n} )[/tex]

Use the formula to find the limit as [tex]n \to \infty[/tex]

Answer:

   [tex]K_n = \frac{n + 73 }{n}[/tex]

  [tex]\lim_{n \to \infty} K_n = 1[/tex]

Step-by-step explanation:

     So let assume that

                  [tex]K_n = \sum\limits_{i=1}^n ( 8 + \frac{i}{n} )(\frac{2}{n} )[/tex]

=>             [tex]K_n = \sum\limits_{i=1}^n ( \frac{16}{n} + \frac{2i}{n^2} )[/tex]

=>              [tex]K_n = \frac{2}{n} \sum\limits_{i=1}^n (8) + \frac{2}{n^2} \sum\limits_{i=1}^n(i)[/tex]

Generally  

         [tex]\sum\limits_{i=1}^n (k) = \frac{1}{2} n (n + 1)[/tex]

So  

      [tex]\sum\limits_{i=1}^n (8) = \frac{1}{2} * 8* (8 + 1)[/tex]

      [tex]\sum\limits_{i=1}^n (8) = 36[/tex]

[tex]K_n = \frac{2}{n} \sum\limits_{i=1}^n (8) + \frac{2}{n^2} \sum\limits_{i=1}^n(i)[/tex]  

and  

  [tex]\sum\limits_{i=1}^n (i) = \frac{1}{2} n (n + 1)[/tex]

  Therefore

         [tex]K_n = \frac{72}{n} + \frac{2}{n^2} * \frac{1}{2} n (n + 1 )[/tex]

         [tex]K_n = \frac{72}{n} + \frac{1}{n} (n + 1 )[/tex]

         [tex]K_n = \frac{72}{n} + 1 + \frac{1}{n}[/tex]

        [tex]K_n = \frac{72 + 1 + n }{n}[/tex]

        [tex]K_n = \frac{n + 73 }{n}[/tex]

Now  [tex]\lim_{n \to \infty} K_n = \lim_{n \to \infty} [\frac{n + 73 }{n} ][/tex]

=>     [tex]\lim_{n \to \infty} [\frac{n + 73 }{n} ] = \lim_{n \to \infty} [\frac{n}{n} + \frac{73 }{n} ][/tex]

=>     [tex]\lim_{n \to \infty} [\frac{n + 73 }{n} ] = \lim_{n \to \infty} [1 + \frac{73 }{n} ][/tex]

=>     [tex]\lim_{n \to \infty} [\frac{n + 73 }{n} ] = \lim_{n \to \infty} [1 ] + \lim_{n \to \infty} [\frac{73 }{n} ][/tex]

=>    [tex]\lim_{n \to \infty} [\frac{n + 73 }{n} ] = 1 + 0[/tex]

Therefore

      [tex]\lim_{n \to \infty} K_n = 1[/tex]

The correct answer is C. Q, R (rational, real numbers)

Explanation:

The number [tex]\frac{25}{11}[/tex] is a fraction, which means it represents proportions of a whole. This number can be classified as rational, which is represented by the letter Q because this category of numbers includes those numbers that can be represented as a fraction and the number provided is naturally a fraction. Moreover, this number is also a real number, which is a broad category of numbers represented by the letter R that includes rational numbers such as fractions. This means this number is rational and because of this, it is also real.

On the other hand, this number is not natural because this includes regular numbers such as 3, 43, or 3947 but not fractions, and it is not a whole number because a fraction does not represent a whole number but just a proportion.

Answer:

0.3a + 0.9b

Step-by-step explanation:

1 apple = $0.3

1 banana = $0.9

a apples = $0.3 * a

b bananas = $0.9 * b

total cost = 0.3a + 0.9b

Answer:

game show The Price is Right, four contestants are asked to guess the price of a television set. Play starts with the leftmost player, and each player's guess must be different from the guess of the previous players. The person who comes closest to the real price, without going over it, wins the television set.

c.) Six thousand players each pasy $10,000 to enter

Answer:

y = 40

Step-by-step explanation:

  __y_  x  8      = 8 x 5

       8

y = 40

Answer:

y=40 is the answer.

Step-by-step explanation:

y/8=5

In order to find the value of y multiplying 8 on both sides

y/8✖️8=5✖️8

y=40 is the answer.

Hope it will help you :)

Answer:

Vehicle one he put $10000

Vehicle two he put $1000

Step-by-step explanation:

Interest= PRT/100

Interested= x

P1 +P2= $20000

X1+x2= $1200

R1= 5%

R2= 7%

(P1*5*1)/100= X1

5p1=100 X1.....

P1= 20X1...

(P2*7*1)/100= X2

7p2= 100X2

P2= 100/7 X2

P1 +P2= $20000

20X1 + 100/7 X2= 20000

7X1 +5x2= 7000...equation one

X1+x2= 1200 ....equation two

Multiplying equation two with 7

7X1 +7X2= 8400

7X1 +5x2= 7000

Solving simultaneously

2X2=1400

X2= 700

P2= 100/7 X2

P2= 100/7 (700)

P2= 10000

But X1+x2= $1200

X1= 1200-700

X1= 500

P1= 20X1

P1= 20(500)

P1= 10000

Vehicle one he put $10000

Vehicle two he put $1000

Answer:

2^5

Step-by-step explanation:

2^5 = 2 x 2 x 2 x 2 x 2 = 32

Step-by-step explanation:

2x2x2x2 now that is the exact way to solve it mark me as a brilliantis

Answer:

that means the system has no solutions