Can someone please explain this to me? I’m really confused on how to find the limit with the piecewise function.

Answer:

$798.20

Step-by-step explanation:

15.35 × 52 = 798.20

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]

Step-by-step explanation:

The ratio of Ali mass to Williams mass is

6 : 3

= 2 : 1

Option 2 is the correct answer

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: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:

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:

1/3

Step-by-step explanation:

When simplifying the expression and x - 2 is eliminated there will be 1/3 left not 3

Answer:

Estimate: 90

Quotient: 95

Remainder: 8/59

Step-by-step explanation:

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.

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.

Hope it helped u if yes mark me BRAINLIEST!

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:

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:

332*14.4% = 332*.144 = 47.808

Answer: 900ml

Step-by-step explanation:

Recipe serves 4

Invited guests is 24 which is 6 x the recipe

6 x 150ml = 900ml

A quantity of (24xy) liters amount of milk is needed to cater 24 peoples.

We have Lynn needs to cater for 24 people.

Assume that she intents to make [x] pancakes for each individual. And, in order to make 1 pancake, [y] liters of milk is needed. So, for a total of 24 people, she will make (24x) pancakes, that will need -

A{milk} = 24xy

Therefore, a quantity of (24xy) liters amount of milk is needed to cater 24 peoples.

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Answer:

The height of the flag was 3 feet.

Step-by-step explanation:

To solve this problem, we must first recall the formula for area of a rectangle to be:

Area = base * height

Next, we can substitute in the values that we were given in the problem.  We were told that the area was 27 square feet and the base was 9 feet.

27 = 9 * height

Now we can treat this equation that we have created similar to any other equation we would like to solve.  We must solve for the unknown, or the variable, which in this case is the height.  To do this, we should divide both sides by 9 to get the "height" variable by itself on the right side of the equation.  This is modeled below:

27/9 = (9 * height)/9

3 = height

Therefore, the height of the flag was 3 feet.

Hope this helps!

Answer:

The height is 3,

Step-by-step explanation:

First up, if we know the B in the B*H=A formula, we can divide the area by the base (27/9) and get the height, 3.

I too am learning this. The thing is you want to do a reverse order. For example, 2*3=6; so automatically we would know that 6/3=2.

Hope this has helped!

:)

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.

-Taxable wages & tips subject to Additional Medicare Tax withholding Total Advances Received From Filing Form(s) 7200 for the Quarter · 13g. Your Form 941 is due by the last day of the month that follows the end of the quarter

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:

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:

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 question is not complete, so i have attached it.

Answer:

A) Option B: μ ≤ 19,000

B) Option C:

H0: μ ≤ 19,000

Ha: μ > 19,000

C) Option D: The null hypothesis H0: μ ≤ 19,000 is the claim

Step-by-step explanation:

A) From the question, we are told that an amusement park claims that the mean daily attendence at the park is at most 19,000 people.

Now, since it's at most 19000 people, it means that they are either 19000 or less. So the claim is;

μ ≤ 19,000 which is option B

B) Now, the claim is usually the null hypothesis. Thus, the null hypothesis is;

H0: μ ≤ 19,000

While the alternative hypothesis which states the opposite of the claim is;

Ha: μ > 19,000

So, option C is the correct answer

C) The claim is μ ≤ 19,000

Now, this also happens to be the null hypothesis.

Thus, the null hypothesis H0: μ ≤ 19,000 is the claim.

So option D is correct.

Answer: 41.665

Step-by-step explanation:

5/6 as a percent is 83.33.

83.33 divided by 2 equals 41.665.

So, the answer is 41.665.

Hope this helps!

Answer: 0.4166667

Explanation: Make 5/6 to 0.8333. Divide the decimal by 2.

Hope it helps!

lovelymoonlight

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:

[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:

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:

a. x=80

b. x=30

Step-by-step explanation:

Use the exterior angle theorem: as shown in the picture

# a

25+x=105

     x=80

#b

2x+(3x+2)=152

       5x+2=152

          5x=150

            x=30

Answer:

I think B or C I'm not sure but I hope this helps!

Step-by-step explanation: