What is the x-intercept of the graph below?

Answer:

7

Step-by-step explanation:

please give brainliest!!

Answer:

7 is the answer.

Rewrite the inner limit as

[tex]\displaystyle \lim_{n\to\infty} \prod_{k=1}^n \left(1 + \frac{(k+1)^p}{n^{p+1}}\right) \\\\ = \exp\left(\lim_{n\to\infty} \ln \prod_{k=1}^n \left(1 + \frac{(k+1)^p}{n^{p+1}}\right)\right) \\\\ = \exp\left(\lim_{n\to\infty} \sum_{k=1}^n \ln \left(1 + \frac{(k+1)^p}{n^{p+1}}\right)\right)[/tex]

For any x > 0, we have the useful bounds

[tex]x - x^2 \le \ln(1 + x) \le x[/tex]

so that

[tex]\displaystyle \sum_{k=1}^n \left(\frac{(k+1)^p}{n^{p+1}} - \frac{(k+1)^{2p}}{n^{2(p+1)}}\right) \le \sum_{k=1}^n \ln \left(1 + \frac{(k+1)^p}{n^{p+1}}\right) \le \sum_{k=1}^n \frac{(k+1)^p}{n^{p+1}}[/tex]

In the limit, we have

[tex]\displaystyle \lim_{n\to\infty} \sum_{k=1}^n \frac{(k+1)^p}{n^{p+1}} \\\\ = \lim_{n\to\infty} \frac1n \sum_{k=1}^n \left(\frac{k+1}n\right)^p \\\\ = \int_0^1 x^p \, dx = \frac1{p+1}[/tex]

and

[tex]\displaystyle \lim_{n\to\infty} \sum_{k=1}^n \frac{(k+1)^{2p}}{n^{2(p+1)}} \\\\ = \lim_{n\to\infty} \frac1n \times \frac1n \sum_{k=1}^n \left(\frac{k+1}n\right)^{2p} \\\\ = 0 \times \int_0^1 x^{2p} \, dx = 0[/tex]

Then by the squeeze theorem, the log sum converges to 1/(p + 1), so the infinite product converges to [tex]e^{\frac1{p+1}}[/tex], as suspected.

Finally,

[tex]\displaystyle \lim_{p\to\infty} \left(e^{\frac1{p+1}}\right)^{H_p} \\\\ = \exp\left(\lim_{p\to\infty} \frac{H_p}{p+1}\right) \\\\ = \exp\left(\lim_{p\to\infty} \frac{H_p-\ln(p) + \ln(p)}{p+1}\right) = e^0 = \boxed{1}[/tex]

since Hₙ - ln(n) converges to the Euler-Mascheroni constant γ.

Answer:

400000

Step-by-step explanation:

The first significant figure of a number is the first digit which is not zero.

The second significant figure of a number is the digit after the first significant figure.

Steps:

Step 1: 389528 (the original number has 6 sig figs)

Step 2: 400000 (rounded to 1 significant figures)

[RevyBreeze]

Answer:

-7

Step-by-step explanation:

s + 5t

s = 3

t = -2

3+5(-2)

3-10

-7

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Answer:

(x+3)^2 + (y-7)^2 = 2^2

Step-by-step explanation:

Follow the standard form of a circle, (x-h)^2 + (y-k)^2 = r^2, given that (-3,7) is (h,k) and 2 is r.

Answer:

1.94 & -1.94

Step-by-step explanation:

I took the test! Hope this helps :)

Answer:

  a = 1.5

Step-by-step explanation:

Assuming side 'a' is the short side of a right triangle with the given dimensions, we can find it using the Pythagorean theorem.

  c² = a² +b²

  a = √(c² -b²) = √(2.5² -2²) = √2.25

  a = 1.5

_____

The ratio of the given sides is 2.5 : 2 = 5 : 4. Only one right triangle has hypotenuse and long side in the ratio 5 : 4. That is the 3-4-5 triangle. This means the short side is 3/5 of the hypotenuse, or (3/5)(2.5) = 1.5

The length of side 'a' is 1.5 units.

Answer:

No they are not.

Step-by-step explanation:

Without the angels, imagine flipping over one of the triangles and overlapping them. They may be the same shape, but they are different sizes.

Answer:

x = 128

Step-by-step explanation:

49 + x + 3 = 180

52 + x =180

x + 52 = 180

x + 52 - 52 = 180 - 52

x = 128

Answer:

128

Step-by-step explanation:

49+(x+3)=180

49+x+3=180

52+x=180

x=180-52

x=128

Answer:

mass production, application of the principles of specialization, division of labour, and standardization of parts to the manufacture of goods.

Answer:

C)38 or B)23, or D)45

Step-by-step explanation:

you can pick but please give me brainliest

Answer:

= 165/8

Step-by-step explanation:

11/2hrs = 1/5

x = 3/4

then Cristcross

x = 33/7/1/5

x = 33/8 ×5

x= 165/8

The time taken by Elisabeth to read (3/4) of the book is 5 5/8 hours.

In mathematics, a fraction is used to denote a portion or component of the whole. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, and the denominator is the number at the bottom. The denominator specifies the total number of equal parts in the whole, whereas the numerator specifies the number of equal parts that were taken.

As per the given data:

Elisabeth reads 1/5 of her book in 1 1/2 hours.

1 1/2 hours = (3/2) hours

Time taken by Elisabeth to read full book = 5 × (3/2) hours

= (15/2) hours

Time taken by Elisabeth to read (3/4) of the book = (3/4) × (15/2) hours

= (45/8) hours

Converting into mixed fraction in the simplest form:

(45/8) = 5 5/8 hours

Hence, the time taken by Elisabeth to read (3/4) of the book is 5 5/8 hours.

To learn more on Fraction, click:

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Answer:

-2

Step-by-step explanation:

Slope equals rise over run. The line goes forwards by two and down by 4 between the two charted points, so the slope would be -4/2 or -2.

Answer:

Well a parallelogram has congruent opposite sides.
We need to find the value of a here.

A shape’s angle must add up to following this equation
180(n-2) = ?

Now solve for this equation right here with “n” as “sides.

THis shape has 4 sides so 180(4-2) = 360

You have each interior angle of the parrlelogram which is 360.
Let’s solve 112 and 4b +8 first.

We know they have to be equal since opposite angles of a parrlelogram has to be equal.

112 = 4b + 8

104 = 4b
26 = b

You have b as 26.

Now solving it we know that two angles “G” and “I” are both 112.

112 *2 = 224

Thats one side done.
Now the opposite…

With 224 already being taken away subtract 360 by 224 since we figured out 360 was the amount of all the interior angles in the shape add upo to. 360 - 224 = 136

136 is the other two angles ADDED UP.

Divide it by 2 since both has to be equal and be the same.

68

Now solve for a.

2a = 68.

= 34

Answer:

34

Step-by-step explanation:

Consecutive angles of a parallelogram are supplementary

2a + 112 = 180

2a = 68

a = 34

Answer:

12. √197

13. √89

14. 2√10

15.  (-3, 2)

16. (3/2, 0)

17. (2, -8)

18. 21

Step-by-step explanation:

12. Point 1: (-8, -2); Point 2: (6, -1)

d = √(x2 - x1)² + (y2 - y1)²

d = √(6 - (-8)² + (-1 - (-2)²

d = √(14)² + (1)²

d = √196 + 1

d = √197

13. Point 1: (-4, 5); Point 2: (4, 0)

d = √(x2 - x1)² + (y2 - y1)²

d = √(4 - (-4))² + (0 - 5)²

d = √(8)² + (-5)²

d= √64 + 25

d = √89

14. G: (-2, -3); H: (0, 3)

d = √(x2 - x1)² + (y2 - y1)²

d = √(0 - (-2))² + (3 - (-3))²

d = √(-2)² + (6)²

d = √4 + 36

d = √40

d = √4 x 10

d = 2√10

15. Point 1: (-1, -5); Point 2: (-5, 9)

Midpoint = ((x1 + x2))/2, ((y1 + y2))/2

Mid = (-1 + (-5)/2, (-5 + 9)/2

Mid = (-6)/2, (4)/2

Mid = (-3, 2)

16. Point 1: (7, -2); Point 2: (-4, 2)

Midpoint = ((x1 + x2))/2, ((y1 + y2))/2

Mid = (7 + (-4)/2, (-2 + 2)/2

Mid = (3)/2, (0)/2

Mid = (3/2, 0)

17. M:(-3, -1); Y:(-8, 6), X: (X, y)

Midpoint = ((x1 + x2))/2, ((y1 + y2))/2

X      = ((-8 + x2))            ,((6 + y2))

                ÷      = -3              ÷           = -1

                2                          2

To get rid of the 2 multiply the 2 by -3 for X and -1 for Y

X = ((-8 + x2))                      ,((6 + y2))

             ÷       = -3(2)                 ÷         = -1(2)

           2(2)                              2(2)

X = (-8 + x2) = -6, (6 + y2) = -2

           +8          +8,   -6             -6

X2 = 2, Y2 = -8

X: (2, -8)

18. QR = 8x - 51; RS = 3x - 6

8x - 51 = 3x - 6

-3x         -3x

5x - 51 = -6

     + 51   +51

5x = 45

÷5    ÷5

x = 9

QR = 8(9) - 51

QR = 72 - 51

QR = 21

RS = 3x - 6

RS = 3(9) - 6

RS = 21

(QR + RS)/2

(21 + 21)/2

42/2 = 21

QS = 21

I really hope this helps!

The given expression when written in standard form gives; 10.1 * 10⁴

A number written in standard form is usually as A * 10ⁿ

where;

A is a number bigger than or equal to 1 and less than 10

Now, we are given;

(6.3 * 10⁴) + 38000

⇒ (6.3 * 10⁴) + (3.8 * 10⁴)

Using distributive property of equality, we have it in standard form as;

(6.3 + 3.8) * 10⁴

⇒ 10.1 * 10⁴

Read more about standard form at; https://brainly.com/question/17939013

Answer:

977

Step-by-step explanation:

The amount to equally make a whole is 100. In this case the tens has 270 so subtracting it till it can no longer be subtracted by 100 would leave you 70. you have 2(200) wholes that's basically 100s so you add 200 and 700 getting 900 and left with 70 and 7 add those two and get 77 and adding the 900 would be 977.

(sorry if I'm incorrect,dearest apologies.)

Answer:  y = 2000(0.78)^t

This is the same as writing [tex]y = 2000(0.78)^t[/tex]

=====================================================

Explanation:

The answer above is in the form y = a*b^t

a = initial price = 2000 dollars

b = decay factor = 0.78

We have a decay factor because 0 < b < 1 and because the price decreases. The 0.78 is from the computation of 1 - 0.22 = 0.78

Meaning that if the price goes down 22%, then we keep the remaining 78%

So each year, the laptop keeps 78% of its previous price after losing 22%.

Answer:

4 + 6 = 10

6 + 4 = 10

10 - 4 = 6

10 - 6 = 4

Step-by-step explanation:

Step-by-step explanation:

[tex] \frac{d}{dx} {e}^{x} \cos(x) = {e}^{x} cos(x) - {e}^{x} \sin(x) [/tex]

Answer:

You are correct.

Step-by-step explanation:

This is a semi circle. The central angle is 180 so the according to Thales Theorem, the angle that is opposite of the diameter is 90 degrees.

A triangle has at max 180 degrees So

[tex]180 - 90 - 60 = x[/tex]

[tex]30 = x[/tex]

So the angle is 30

Answer:

-9 is rational

5/8 is rational

30/sqrt of 25 is rational

sqrt 70 is irrational

pi is irrational

Step-by-step explanation:

rational number: a number that can be expressed as an integer or the quotient of an integer divided by a nonzero integer.  A rational number is a number that is expressed as the ratio of two integers, where the denominator should not be equal to zero, whereas an irrational number cannot be expressed in the form of fractions. Rational numbers are terminating decimals, but irrational numbers are non-terminating. Irrational Numbers Definition An irrational number is a real number that cannot be expressed as a ratio of integers, for example, √ 2 is an irrational number. Again, the decimal expansion of an irrational number is neither terminating nor recurring.

Hope this helps mark brainliest please :)

Answer:

y = 22

Step-by-step explanation:

Consecutive Angles of a parallelogram are supplementary

y + 4y -70 = 180

5y - 70 = 180

5y = 110

y = 22

Step-by-step explanation:

IF THERE ARE FIVE PIECES TO BE SHARED AND EVERYONE MUST HAVE AN EQUAL SHARE THEN EACH PERSON SHOULD GET HALF A PIZZA WHICH IS 1/2. BETWEEN 0 AND 1 IS WHAT THE FRACTION 1/2 WE BE BETWEEN.

Answer:

I hope you see my answer in the picture btw pease brainliest my answer...My answer is correct

Answer:

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Answer:

[tex]g(x)=x^3-8x^2+9x+11[/tex]

Step-by-step explanation:

[tex]f(x)=-x^3-8x^2-9x+11[/tex]

When a function is reflected across the y-axis, negative x-values become positive, and positive x-values become negative.

Therefore, substitute -x in place of x in the function f(x):

[tex]g(x)=-(-x)^3-8(-x)^2-9(-x)+11[/tex]

We know that [tex](-x)^3=-(x^3)[/tex]

[tex]\implies -(-x)^3=--(x^3)=x^3[/tex]

We know that [tex](-x)^2=x^2[/tex]

[tex]\implies -8(-x)^2=-8(x)^2=-8x^2[/tex]

Also [tex]-9(-x)=+ \ 9x[/tex]

Therefore,

[tex]g(x)=x^3-8x^2+9x+11[/tex]

Answer:

C.The die would land on a multiple of 3 exactly 60 times.

Step-by-step explanation:

Hope this helps! If it did, mark brainliest, please!

Answer: D

Step-by-step explanation:  I am sure it is if it's not rata me a 1 if it is rata me a 5