true or false 8.25 is greater than 8.25 repeating

Answer:

Step-by-step explanation:

So, the point of this is to make x the only thing on one side, so we can see what x is!

Okay so first subtract 8 on both sides...

5x= 25

Now we need to divide on both sides!

That equals...

x=5

So now we know that x=5!

Hope this helped!! :D

If you have any questions whatsover, make sure to comment!

Answer:

5

Step-by-step explanation:

It's the one that's missing.

Hope I helped!

Please mark Brainliest!

Answer:

5

Step-by-step explanation:

3 × 5 = 15 × 2 = 30

3(5 × 2) = 3(10) = 30

Answer:

AC line = DB line

Step-by-step explanation:

ac line is always larger that db line

Answer:

when f(x) is -1, f(x) =  -3

when f(x) is 0, f(x) = 1

when f(x) is 3, f(x)= 13

so is -3, 1 and 13.

you basically replace  x with the number and then evaluate

hope is helpful!!

If the probability is less than 0.01, the policy will be sold; otherwise, it will not.

The probability of stroke in the next 10 years for a smoker with a systolic blood pressure of 205 is not given in the question. Hence, we need to use additional information to determine whether the insurance company will sell the select policy to this person.

One approach to solving this problem is to use actuarial tables, which are statistical tables used by insurance companies to determine the risk of insuring a person. Another approach is to use a predictive model that estimates the probability of stroke based on the person's risk factors such as age, smoking status, blood pressure, etc.

Assuming we have access to such information, we can calculate the probability of stroke for the smoker with a systolic blood pressure of 205. If this probability is less than 0.01, then the insurance company will sell him the select policy. Otherwise, they will not.

In summary, we need to use additional information such as actuarial tables or predictive models to determine the probability of stroke for the given person, and compare it to the company's standard of less than 0.01.

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Answer:

27% of the people

Step-by-step explanation:

Sorry if im wrong i did the math i should be right

The balance in the fund at the end of 23 years, with monthly deposits of $1,150 and a 3.25% annual interest rate, is approximately $449,069.51. The amount of interest earned over the period is approximately $420,630.49.

a. The balance in the fund at the end of the 23-year period, considering a monthly deposit of $1,150 and an annual interest rate of 3.25% compounded annually, is approximately $449,069.51.

To calculate the balance, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where A is the accumulated balance, P is the monthly deposit, r is the annual interest rate, n is the number of compounding periods per year, and t is the number of years.

In this case, we have monthly deposits, so we need to convert the annual interest rate to a monthly rate:

Monthly interest rate = (1 + 0.0325)^(1/12) - 1 = 0.002683

Using this monthly interest rate, we can calculate the accumulated balance over the 23-year period:

A = 1150 * [(1 + 0.002683)^(12*23) - 1] / 0.002683 = $449,069.51

Therefore, the balance in the fund at the end of the 23-year period is approximately $449,069.51.

b. The amount of interest earned over the 23-year period can be calculated by subtracting the total deposits from the accumulated balance:

Interest earned = (Monthly deposit * Number of months * Number of years) - Accumulated balance

Interest earned = (1150 * 12 * 23) - 449069.51 = $420,630.49

Therefore, the amount of interest earned over the 23-year period is approximately $420,630.49.

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The expression 7(6) + 14=56 will be equal to 7(a + 2)  at a = 6

We have an expression  

7(a + 2)  

Now at a = 6, its value will be

7 (6 + 2) = 7 × 8 = 56

Now from the given options we can see that

7 (6)=42

9 (6)=54

7 (6) + 2=44

7(6) + 14 = 42 + 14 = 56

Thus the expression 7(6) + 14=56 will be equal to 7(a + 2)  at a = 6

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The probability that a tick carries Lyme disease given that it carries hge is approximately 0.0788.

The conditional probability of an event depending on the occurrence of another event, according to Bayes' Theorem, is equal to the likelihood of the second event given the first event multiplied by the probability of the first event.

Let's use Bayes' theorem to calculate the probability of a tick carrying Lyme disease given that it carries hge.

Let A be the event that a tick carries Lyme disease and B be the event that a tick carries hge. We want to find P(A|B), the probability that a tick carries Lyme disease given that it carries hge.

Bayes' theorem states:

P(A|B) = P(B|A) * P(A) / P(B)

Given,

P(A) = 0.14 (the proportion of ticks that carry Lyme disease)

P(B) = 0.08 + 0.08 - 0.08*0.08 = 0.1432 (the proportion of ticks that carry hge)

The probability of a tick carrying hge is 0.08, and the probability of a tick carrying Lyme disease given that it carries hge is 0.08*0.08 = 0.0064, so we need to subtract this from 0.08 to avoid double-counting ticks that carry both diseases.

P(B|A) = 0.08 (the proportion of ticks that carry hge given that they carry Lyme disease)

Plugging in these values:

P(A|B) = 0.08 * 0.14 / 0.1432 ≈ 0.0788

Therefore, the probability that a tick carries Lyme disease given that it carries hge is approximately 0.0788, rounded to four decimal places.

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The integral of  probability density function \(\int_{4}^{\infty}\)f(x) dx represents option b. the probability that a tree has a diameter of at least 4 inches.

Probability density function represented by function f.

Probability density function f for the diameter of trees in a forest is equals to ,

\(\int_{4}^{\infty}\)f(x) dx

Because the integral is computing the area under the PDF curve for diameters greater than or equal to 4 inches.

And the area under a PDF curve represents the probability of the random variable in this case, tree diameter falling within that range.

This implies,

Integrating the PDF from 4 to infinity gives the probability of a tree having a diameter greater than or equal to 4 inches.

Therefore, the correct answer to represents the probability density function is Option (b). the probability that a tree has a diameter of at least 4 inches.

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The above question is incomplete , the complete question is :

Let f be the probability density function (PDF) for the diameter of trees in a forest, measured in inches. What does \(\int_{4}^{\infty}\) f(x) dx represent?

(a) The standard deviation of the diameter of the trees in the forest.

(b) The probability that a tree has a diameter of at least 4 inches

(c) The probability that a tree has diameter less than 4 inches.

(d) The mean diameter of the trees in the forest.

The simplified expressions represent the level of consumption, investment, and net exports at a particular level of income and interest rates.

The consumption function represents the relationship between the aggregate level of consumption and the total level of income in the economy.

The investment function shows the level of investment planned by businesses at different interest rates. The net export function calculates the difference between exports and imports as a function of income, while the level of imports is positively related to the level of income, and exports are negatively related to the level of income.

Given:C = 3.25 + 0.75(Y - 3)

We can simplify the consumption function as follows:

C = 1 + 0.75YY - 3 = disposable income = Yd

C = 1 + 0.75(Yd)

C = 1 + 0.75Y

For the investment function: I = 1.3 - 0.3r

Where I is investment and r is the interest rate.

For the net export function: NX = -1 + 0.1Y

Thus, the simplified expressions for the consumption function, investment function, and net export function are:

C = 1 + 0.75YI = 1.3 - 0.3rNX = -1 + 0.1Y

The simplified expressions represent the level of consumption, investment, and net exports at a particular level of income and interest rates.

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Answer:

  (a) AC = 4√2 cm

  (b) AM = 2√2 cm

  (c) EM = √41 cm

  (d) EF = 3√5 cm

Step-by-step explanation:

You want to solve for various lengths in the right square pyramid shown with base edge 4 cm and lateral edge 7 cm.

Each right triangle can be solved for unknown lengths using the Pythagorean theorem: the square of the hypotenuse is the sum of the squares of the other two sides.

Right triangles of interest here are ...

  ADC . . . . for finding AC and AM (isosceles right triangle)

  CME . . . . for finding EM

  FME . . . . for finding EF

AC is the hypotenuse of ∆ADC, so ...

  AC² = AD² +DC²

  AC = √(4² +4²)

  AC = 4√2 . . . . cm

M is the midpoint of AC, so ...

  AM = AC/2 = (4√2)/2

  AM = 2√2 . . . . cm

FM is half the length of one side of the base, so is 2 cm. CM = AM = 2√2.

  CE² = CM² +EM²

  EM = √(CE² -CM²) = √(7² -(2√2)²)

  EM = √41 . . . . cm

EF is the hypotenuse of ∆EMF.

  EF² = EM² +FM²

  EF = √(EM² +FM²) = √(41 +2²) = √45

  EF = 3√5 . . . . cm

Answer:

y = 136

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

y is an exterior angle of the triangle, thus

y = 82 + 54 = 136

Answer:

15, 16 or any integer close to those numbers

Step-by-step explanation:

Since, Karl drove 616.7 miles for each gallon of has and the car can drive 41 miles for each gallon, we need to divided 616.7 by 41 to get an answer of 15.0414634146 or an estimate of 15 or 16. It matters on whether the answer shows.

Answer:

y=3x+2 but x=0 , 1 and 2

y=3x+2

y=3(0)+2

y=0+2

y=2

y=3x+2

y=3(1)+2

y=3+2

y=5

y=3x+2

y=3(2)+2

y=6+2

y=8

so the answer is if its the value of x is 0,1,2 the value of y will 2,5 and 8

Answer:

8 1/7 is your answer

Step-by-step explanation:

Answer:

1 8/7

Step-by-step explanation:

1 8/7

For considering the vector field f(x,y,z)= (3y,3x,4z). The f become a gradient vector field f= ∇V by determining the function V which satisfies V(0,0,0)=0, V(x,y,z) = 3xy + 4z².

We have, a vector field, f(x,y,z) =(3y,3x,4z). We have for f is a gradient vector field, that is F = ∇V, by determining the function V which satisfies condition V(0,0,0)=0, that is we have to determine value of function V (x,y,z). Since, F = ∇V

=> \(3y\hat i + 3x \hat j + 4z \hat k = \frac{dV}{dx}\hat i + \frac{dV}{dy}\hat j + \frac{dV}{dz}\hat k \\ \)

Comparing the elements in both sides,

\(\frac{dV}{dx} = 3y\)

\(\frac{dV}{dy} = 3x\)

\( \frac{dV}{dz} = 4z \)

Now, integrating the above differential equations of determining the \(V(x,y,z) = \int3y dx = 3xy + g(y,z) \\ \)

differentiating with respect to y

\(\frac{dV}{dy} = 3x + g_{y} ( y,z) \)

but from using above equation, g_{y} ( y,z) \) = 0

=> g(y,z) = h(z) ( integrating)

V( x,y,z) = 3xy + h( z)

differentiating with respect to z

\(\frac{dV}{dz} = h'(z)\)

but dV/dz = 4z , so h'(z) = 4z

=> h(z) = 2z²

Hence, the required function is V( x,y,z) = 3xy + 2z².

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Answer:

1. x=60

2.x=5

3.x=8

4.x=10

Step-by-step explanation:

im assuming you want to find x value for each.

Answer:

1. 60

2. 5

3. 8

4. 10

Step-by-step explanation:

1. 115+(x+5)=180

x=60

2. 180-136=7x+9

35=7x

x=5

3. 37=6x-11

6x=48

x=8

4. 180-142=2(x+9)

38=2x+18

20=2x

x=10

Answer:

5.0

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

5*14=70 4*14=56 70+56=126 70-56=14

The power series of the function 3/((x-2)(x+1)) is:

-3/4 - 1/4(x-2) + 1/4(x-2)² - 1/4(x-2)³- 1/2 - 1/2(x+1) - 1/2(x+1)² - 1/2(x+1)³ + ...

To find the power series of the function 3/((x-2)(x+1)), we first need to find the partial fraction decomposition of the function:

3/((x-2)(x+1)) = A/(x-2) + B/(x+1)

To solve for A and B, we need to find a common denominator on the right-hand side:

3 = A(x+1) + B(x-2)

Setting x = 2, we get:

3 = A(3)

A = 1

Setting x = -1, we get:

3 = B(-3)

B = -1

Therefore, we have:

3/((x-2)(x+1)) = 1/(x-2) - 1/(x+1)

Now we can use the formula for the geometric series:

1/(1 - t) = 1 + t + t²+ t³ + ...

to write the power series of each term in the partial fraction decomposition. Substituting t = x-2 for the first term and t = -x-1 for the second term, we get:

1/(x-2) = -1/4 - 1/4(x-2) + 1/4(x-2)² - 1/4(x-2)³ + ...

1/(x+1) = -1/2 - 1/2(x+1) - 1/2(x+1)² - 1/2(x+1)³ - ...

Combining the two series, we have:

3/((x-2)(x+1)) = -3/4 - 1/4(x-2) + 1/4(x-2)² - 1/4(x-2)³ - 1/2 - 1/2(x+1) - 1/2(x+1)² - 1/2(x+1)³ + ...

Therefore, the power series of the function 3/((x-2)(x+1)) is:

-3/4 - 1/4(x-2) + 1/4(x-2)² - 1/4(x-2)³- 1/2 - 1/2(x+1) - 1/2(x+1)² - 1/2(x+1)³ + ...

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c = pi/2, and the value of c > 1 such that the average value of f(x) on the interval [2, 20] is equal to c is c = pi/2.

The average value of a function f(x) on the interval [a, b] is given by:

Avg = 1/(b-a) * ∫[a, b] f(x) dx

We want to find a value of c > 1 such that the average value of the function \(f(x) = (9pi/x^2)cos(pi/x)\) on the interval [2, 20] is equal to c.

First, we find the integral of f(x) on the interval [2, 20]:

\(∫[2, 20] (9pi/x^2)cos(pi/x) dx\)

We can use u-substitution with u = pi/x, which gives us:

-9pi * ∫[pi/20, pi/2] cos(u) du

Evaluating this integral gives us:

\(-9pi * sin(u) |_pi/20^pi/2 = 9pi\)

Therefore, the average value of f(x) on the interval [2, 20] is:

\(Avg = 1/(20-2) * ∫[2, 20] (9pi/x^2)cos(pi/x) dx\)

= 1/18 * 9pi

= pi/2

Now we set c = pi/2 and solve for x:

Avg = c

\(pi/2 = 1/(20-2) * ∫[2, 20] (9pi/x^2)cos(pi/x) dx\)

pi/2 = 1/18 * 9pi

pi/2 = pi/2

Therefore, c = pi/2, and the value of c > 1 such that the average value of f(x) on the interval [2, 20] is equal to c is c = pi/2.

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The type 2 improper integral ∫(1/x^p) dx from 0 to 1 converges for p < 1, and its value is 1/(1 - p).

We start by substituting u = 1/x, which gives us du = -dx/x^2. We can rewrite the integral in terms of u as follows:

∫(1/x^p) dx = ∫u^p (-du) = -∫u^p du.

Now we need to consider the limits of integration. When x approaches 0, u approaches infinity, and when x approaches 1, u approaches 1. So our integral becomes:

∫(1/x^p) dx = -∫u^p du from 0 to 1.

To evaluate this integral, we use the antiderivative of u^p, which is u^(p+1)/(p+1). Applying the limits of integration, we have:

∫(1/x^p) dx = -[u^(p+1)/(p+1)] evaluated from 0 to 1.

When p+1 ≠ 0 (i.e., p ≠ -1), the integral converges. Thus, p must be less than 1. Plugging in the limits of integration, we obtain:

∫(1/x^p) dx = -(1^(p+1)/(p+1)) + 0^(p+1)/(p+1) = -1/(p+1) = 1/(1-p).

Therefore, the type 2 improper integral converges for p < 1, and its value is 1/(1 - p).

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The type 2 improper integral ∫(1/x^p)dx from 0 to 1 converges when p < 1. The value of the integral for those values of p is 1/(1 - p).

To determine the values of p for which the type 2 improper integral converges, we can use the substitution u = 1/x. As x approaches 0, u approaches positive infinity, and as x approaches 1, u approaches 1. We can rewrite the integral in terms of u as follows:

∫(1/x^p)dx = ∫(1/(u^(1-p))) * (du/dx) dx

            = ∫(1/(u^(1-p))) * (-1/x^2) dx

            = ∫(-1/(u^(1-p))) * (x^2) dx.

Now, when p > 1, the original integral converges to 1/(p - 1). Therefore, for the type 2 improper integral to converge, we need the same behavior when p < 1. In other words, the integral must converge as x approaches 0. Since the limits of integration for the type 2 integral are from 0 to 1, the convergence at x = 0 is crucial.

For the integral to converge, we require that the integrand becomes finite as x approaches 0. In this case, the integrand is (-1/(u^(1-p))) * (x^2). As x approaches 0, the factor x^2 becomes infinitesimally small, and for the integral to converge, the term (-1/(u^(1-p))) must compensate for the decrease in x^2. This is only possible when p < 1, as the power of u in the denominator ensures that the integral converges.When p < 1, the type 2 improper integral converges, and its value can be found using the formula 1/(1 - p). Therefore, the value of the integral for those values of p is 1/(1 - p).

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The c is equal to half of the definite integral of the function over the interval [0, 2].

To determine c such that f(c) is the average value of the function on the interval [0, 2], we can use the formula for the average value of a function:

avg = 1/(b-a) * ∫(a to b) f(x) dx

In this case, a = 0 and b = 2, so the formula becomes:

avg = 1/2 * ∫(0 to 2) f(x) dx

We want to find the value of c such that f(c) = avg, so we can set these two expressions equal to each other and solve for c:

f(c) = avg
f(c) = 1/2 * ∫(0 to 2) f(x) dx

We can then use calculus to solve for c by finding the derivative of both sides with respect to c and setting them equal to each other:

f'(c) = 1/2 * (f(2) - f(0))

Solving for c gives us:

c = (1/2) * ∫(0 to 2) f(x) dx

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The perimeter of the square is a rational number of meters. However, the product of a rational number and an irrational number is always irrational.

If the area of a square is 7 square meters, then each side of the square is √7 meters long. The perimeter of the square is simply the sum of the four sides, which is 4√7 meters.

To determine whether 4√7 is a rational or irrational number, we need to check if √7 is rational or irrational. Since √7 is not a perfect square, it cannot be expressed as a fraction of two integers. Therefore, √7 is an irrational number.

However, the product of a rational number and an irrational number is always irrational. Since 4 is a rational number and √7 is irrational, the product 4√7 is also an irrational number.

Therefore, the perimeter of the square is an irrational number of meters.

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Answer:

c.  

brainliest please? <3

Step-by-step explanation:

Answer:

always decreasing

Step-by-step explanation:

Answer:

\(m^8-4\)

Step-by-step explanation:

\(Rule: a^b\cdot \:a^c=a^{b+c}\\=m^7m=m^{7+1}\\=m^{7+1}-4\\=m^8-4\)

Answer:

36mm

Step-by-step explanation:

12^2 + 9^2 = c^2

144 + 81 = c^2

225 = c^2

\(\sqrt{225}\) = 15

c = 15mm

12+9+15 = 36

The function that gives the amount of money in dollars, j(n), in Jamie’s account n years after the initial deposit is J(n) = P(1 + (r/3)/100)³ⁿ.

Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.

We know the formula for compound interest is,

A = P(1 + r/100)ⁿ.

Where, A = amount, P = principle, r = rate, and n = time in years.

Given, Jamie deposits $627 into a savings account and the account has an interest rate of 3.5%, compounded quarterly.

P = $627, r =  3.5%.

We know the formula for compound interest compounded quarterly is

A = P(1 + (r/3)/100)³ⁿ.

Or

J(n) = P(1 + (r/3)/100)³ⁿ. (here t is replaced by n).

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Answer:

ready-steady paint

Step-by-step explanation:

if he needs 12 tins, and purchased from paint -O  mine, he would spend (12/3) X 7.50 = 4 x 7.50 = £30

from ready steady, he can buy 4 for £11. he needs 12.

so he will spend (12/4) X 11 = 3 X 11 = £33. but he can get 15% off. 15% off is the same as multiplying by 0.85.

33 X 0.85 = £28.05.

so he his better purchasing from ready steady paint