Evaluate.
10+ (8³-6)

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The Correct choice is C

The calculator will show an incorrect value, because she should have added 18 and 2 then entered 20 * 15 - 7 into the calculator.

I hope that explains it since we have to solve what's given in the bracket first.

Moe's present age = 32

Zach's present age = 24

Let Moe's present age be represented by m

Let Zach's present age be represented by z

Moe is 8 years older than Zach now

m = z + 8..........(1)

Twenty years ago, Moe's age would be m - 20

Twenty years ago, Zach's age would be z - 20

Twenty years ago, Moe's age was three times that of Zach

m - 20 = 3(z - 20)

m - 20 = 3z - 60

m = 3z - 60 + 20

m = 3z - 40..........(2)

Let equations (1) and (2) be equal to each other:

z + 8 = 3z - 40

3z - z = 8 + 40

2z = 48

z = 48 / 2

z = 24

Substitute the value of z into equation (1)

m = z + 8

m = 24 + 8

m = 32

Moe's present age = 32

Zach's present age = 24

Answer:

1,2,3, and 5

Step-by-step explanation:

I plugged them all into a calculator

Answer:

i dont get this why is it crossed out

Step-by-step explanation:

The shaded region represents the third that was eaten.

Also, there's no such thing as leftover brownies

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Answer:

-27tn

Step-by-step explanation:

Use KIO (keep, inverse, opposite) then divide.

Answer:

28 ft2

Step-by-step explanation:

You add the bases then you multiply by the height. After that you divide by 2 to get your answer. Hope this helps!!

Answer:

28 ft²

Step-by-step explanation:

Area of a trapezoid:

\(A=\dfrac12(a+b)h\)

(where \(a\) and \(b\) are the bases and \(h\) is the height)

Given:

\(\implies A=\dfrac12(6+8)4\)

\(\implies A=28 \ \textsf{ft}^2\)

The circulation of the field f = x i y j around the curve r(t) = [cos(t)] i [sin(t)] j is    2π ∫₀ (cos t sin t - sin t cos tj)dt = 0

Integration is described as blending matters or human beings collectively that have been formerly separated. An example of integration is while the schools have been desegregated and there have been now not separate public faculties for African individuals.

The method of finding integrals is referred to as integration. at the side of differentiation, integration is a fundamental, crucial operation of calculus, and serves as a device to solve troubles in mathematics and physics regarding the location of an arbitrary form, the length of a curve, and the extent of a solid, among others.

r (t) = cost i + sin t j = dr( sin ti + cos t)dt

F =  -xi -yj = -costi - sin tj

Flux = F .dr = \(\int\limit2n^0_b {-costi - sin tj} \, dx\)j)-( sin ti + cos t)dt

           \(\int\limit2n^0_b {-costi - sin tj} \, dx\) -( sin ti + cos t)dt

     2π ∫₀ (cos t sin t - sin t cos tj)dt = 0

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Answer:

B

Step-by-step explanation:

Answer:

110°

Step-by-step explanation:

t+(t+10)+(t+20)=180

t+t+10+t+20=180

3t=180-10-20

3t=150

t=50°

t+20=50+20

=70

180-70=110°

The error for the 3rd week, using SES forecast with α=0.3, is -0.1.

To calculate the error for the 3rd week using SES (Simple Exponential Smoothing) forecast, we first need to calculate the forecasted value for the 3rd week. The forecasted value is calculated using the formula:

\(F_t = α * A_{t-1 }+ (1 - α) * F_{t-1}\)

Where:

\(F_t\) is the forecasted value for week t

\(A_{t-1}\) is the actual value for the previous week (week t-1)

\(F_{t-1}\) is the forecasted value for the previous week (week t-1)

α is the smoothing factor

Given the time series values for weeks 1, 2, 3, and 4 as 22.00, 7.00, 10.00, and 13.00 respectively, and α=0.3, we can calculate the forecasted value for the 3rd week as follows:

F₃ = 0.3 * 7.00 + (1 - 0.3) * 10.00

= 2.1 + 7

= 9.1

The error for the 3rd week is then calculated as the difference between the actual value and the forecasted value:

Error₃ = Actual Value₃ - Forecasted Value₃

= 10.00 - 9.10

= -0.1

Therefore, the error for the 3rd week, using SES forecast with α=0.3, is -0.1.

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Answer:

13 in

Step-by-step explanation:

\(\sqrt{a} =160\)²

Perfect squares close to 160 include 144 and 169

12²=144

13²=169

Now that we can see 160 is closer to 169 rather than 144,

\(\sqrt{160}\)≈ 13 in

Hope this helps! :)

And if possible, please mark my answer brainliest so i can get to the next rank  :(

Answer: $42546.9 will be the earning in 4 years.

Step-by-step explanation:

The equation for compound interest follows:

\(A=P(1+\frac{r}{100})^n\)

where,

A = total amount

P = Principle amount

r =  rate of interest

n = number of years

We are given:

Earnings earned per month = $3250

Earnings earned per year = ($3250 × 12) = $39000

The values become:

\(P=\$39000\\r=2.2\%\\n=4yrs\)

Putting values in above equation, we get:

\(A=39000(1+\frac{2.2}{100})^4\\\\A=\$ 42546.9\)

Hence, $42546.9 will be the earning in 4 years.

To calculate the total amount accrued when you deposit the money in an account that earns compound interest you have to use the following formula

A: amount accrued

P: principal amount

t: time, years

r: interest rate, expresed as a decimal value

n: number of coumpound periods

For this exericse

The principal amount is P=$1000

The time is t= 9 years

The interest rate is 9%/100=0.09

The compounding periods are 12/year (the interest is compounded monthly) so for the 9 year time period is 9*12=108

Answer:

y = -240

Step-by-step explanation:

If y varies jointly as x and z, then y/(xz) = k where k is the constant of proportion

60/10(-3) = 60/-30 = -2 = k

Now,  y/(xz) = -2

          y/8(15) = -2

          y/120 = -2

                y = -240

Answer:

Step-by-step explanation:

Let the initial percentage to be 30%

If it started to loose 2.5% every hour where;

t represents the time after Charlotte left her house

The amount of percent remaining every hour will form an arithmetic sequence as shown;

30, (30-2.5), (30-5.0),...

30, 27.5, 25.0...

Using the nth term for calculating an arithmetic sequence

B = a + (t-1)d

a is the first term = 30

d is the common difference = 27.5-30 = 25-27.5 = -2.5

t is the time

Substitute the given values into the formula;

B = 30 + (t-1)(-2.5)

B = 30+(-2.5t+2.5)

B = 30-2.5t+2.5

B = 32.5 - 2.5t

Hence equation for B, in  terms of t, representing the charge remaining in Charlotte's battery, as a percentage,  t hours after Charlotte left her house is B = 32.5 - 2.5t

Answer:

-30 - 15e

Step-by-step explanation:

given -7(3e + 4) + 6e - 2, we can distribute -7 to parenthesis

-21e - 28 + 6e - 2, then we add like numbers

-15e - 30

Answer:

-15e - 30

Step-by-step explanation:

-7(3e + 4) + 6e - 2

Simplify:

-21e + (-28) + 6e - 2       (distribute -7 to 3e + 4)

-21e + 6e - 28 - 2          (combine like terms)

-15e - 30                        (combine like terms)

-Chetan K

Answer:

the answer is 80

Step-by-step explanation:

QR=ST: 7x+3=5x+25

2x=22

x=11

7(11)+3=80      5(11)+25=80

Answer:

where is the question .pls send the question

Answer:

Insufficient evidence to give an answer. What is the question?

Answer:

1. The third side has to be greater than 9 m.

2. The triangle is scalene.

Step-by-step explanation:

SOLUTION

Write out the expression

step1: Multiply the coefficient of the first and last term

Step2: Obtain the factors of the term above that can conveniently replace the second term n the expression

Step3: Replace the second term with the two terms obtained

Step4: Group the term and obtain the common factors

Hence the factors of the expression are (4x-3)(x-6)

The X- intercept is the point where the expression to zero

Hence the X-intercept is (3/4,0) and (6,0)

Answer: 46.619 units.

Step-by-step explanation:

To find the length of the spiraling polar curve, we need to use the formula:

L = int_a^b sqrt[r^2 + (dr/d\theta)^2] d\theta

where r is the polar curve, dr/d\theta is its derivative with respect to theta, and a and b are the limits of integration.

In this case, we have:

r = 7 e^{4 \theta}

dr/d\theta = 28 e^{4 \theta}

And the limits of integration are a = 0 and b = 2\pi.

Substituting these into the formula, we get:

L = int_0^(2\pi) sqrt[(7e^{4\theta})^2 + (28e^{4\theta})^2] d\theta

Simplifying this expression using algebra, we get:

L = int_0^(2\pi) 7e^{4\theta} sqrt[1 + 16e^{8\theta}] d\theta

This integral cannot be solved analytically, so we need to use numerical methods to approximate its value. One way to do this is to use a numerical integration technique such as the trapezoidal rule or Simpson's rule.

Using Simpson's rule with a step size of h = \pi/1000, we get:

L \approx 46.619

Therefore, the length of the spiraling polar curve r = 7 e^{4 \theta} from 0 to 2 \pi is approximately 46.619 units.

a) lim f(x) as x approaches 6 from the left is 0.

b) lim f(x) as x approaches 6 from the right is 0.

c) lim f(x) as x approaches 6 is 0.

d) f(6) = 0.

To find the limits and evaluate the function f(x) = |x - 6|, we need to consider the left and right-hand limits as x approaches a given value.

a) lim f(x) as x approaches 6 from the left-hand side (x < 6):

When x approaches 6 from the left, the expression inside the absolute value becomes (x - 6), resulting in f(x) = |x - 6| = |6 - 6| = |0| = 0. Therefore, lim f(x) as x approaches 6 from the left is 0.

b) lim f(x) as x approaches 6 from the right-hand side (x > 6):

When x approaches 6 from the right, the expression inside the absolute value becomes (x - 6), resulting in f(x) = |x - 6| = |6 - 6| = |0| = 0. Therefore, lim f(x) as x approaches 6 from the right is also 0.

c) lim f(x) as x approaches 6:

Since the limits from both the left and right sides are equal (0), the limit of f(x) as x approaches 6 exists and is equal to 0. Therefore, lim f(x) as x approaches 6 is 0.

d) f(6):

To evaluate f(6), we substitute x = 6 into the function f(x) = |x - 6|:

f(6) = |6 - 6| = |0| = 0.

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Answer:

The traveller's speed is 5ft/s and the walkway speed is 3ft/s

Step-by-step explanation:

Given

Represent the traveller's speed with T and the walkway's speed with W.

When the traveller walk against the walkway, we have:

\(T - W = 2\) ---- i.e. 2ft/s against the walkway

When the traveller walk with the walkway, we have:

\(T + W = 8\) ---- i.e. 8ft/s with the walkway

Required

Solve for W and T

\(T - W = 2\) --- (i)

\(T + W = 8\) --- (ii)

Add (i) and (ii)

\(T + T - W + W = 2 + 8\)

\(T + T = 2 + 8\)

\(2T = 10\)

Divide both sides by 2

\(\frac{2T}{2} = \frac{10}{2}\)

\(T = \frac{10}{2}\)

\(T = 5\)

Substitute 5 for T in (ii)

\(T + W = 8\)

\(5 + W = 8\)

Make W the subject

\(W = 8 - 5\)

\(W = 3\)

Hence, the traveller's speed is 5ft/s and the walkway speed is 3ft/s

A function is a relation between sets where for each input, there is exactly one output.

A mathematical phrase, rule, or law establishes the link between an independent variable and a dependent variable (the dependent variable). Functions can be found everywhere in mathematics, and they are essential for building physical connections in the sciences.

The German mathematician Peter Dirichlet initially offered the contemporary definition of function in 1837: A variable y is said to be a function of the independent variable x if there is a relationship between them such that whenever a numerical value is assigned to x, there is a rule that determines a specific value of y.

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Answer:

∠A = 116°

∠B = 116°

∠C = 64°

Step-by-step explanation:

since it is an isosceles trapezoid, ∠C = ∠D = 64°

∠A would be same side interior to ∠D so it would be 180° - 64° = 116°

∠B = ∠A = 116°

The  measure of each angle in the isosceles trapezoid are; ∠A = 116°

∠B = 116° and ∠C = 64°

Due to the figure being isosceles trapezoid, it is symmetric.

Isosceles trapezoid has its two rest sides(which aren't necessary parallel) are of equal length.

Since it is an isosceles trapezoid, ∠C = ∠D = 64°

Here we can use the  symmetric property of the isosceles trapezoid and the fact that a triangle has sum of its angles as 180°

We have ∠A that would be same side interior to ∠D

Thus, it would be 180° - 64° = 116°

∠B = ∠A = 116°

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The lowest point on the graph occurs at point (3π/2,  -1)

One of the three fundamental functions in trigonometry, along with cosine and tan functions, is the sine function.

The ratio of the opposite side of a right triangle to its hypotenuse is known as the sine x or sine theta.

The sine function graph is sinusoidal in nature. This is a sim=ne wave that have smooth periodic oscillation

The attached graph shows sine function graph plotted with the interval [0, 2pi]

The lowest point is observed to occur at  (3π/2,  -1)

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Answer:

Step-by-step explanation:

I'm pretty

a. Let's check whether the given pairs are in the relation S or not.

Is 2 S 2?

To check if (2, 2) is in S, we need to evaluate the expression:

(1/2) - (1/2) = 1/2 - 1/2 = 0

Since 0 is an integer, (2, 2) is in S.

Is -1 S -1?

To check if (-1, -1) is in S, we need to evaluate the expression:

(1/-1) - (1/-1) = -1 - (-1) = 0

Since 0 is an integer, (-1, -1) is in S.

Is (3, 3) ∈ S?

To check if (3, 3) is in S, we need to evaluate the expression:

(1/3) - (1/3) = 1/3 - 1/3 = 0

Since 0 is an integer, (3, 3) is in S.

Is (3, -3) ∈ S?

To check if (3, -3) is in S, we need to evaluate the expression:

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

2/3 is not an integer, so (3, -3) is not in S.

b. Set of ordered pairs S:

S = {(x, y) | (1/x) - (1/y) is an integer}

S = {(2, 2), (-1, -1), (3, 3)}

c. Domain and Co-domain of S:

Domain of S: The set of all first components (x-values) of the ordered pairs in S.

Domain of S = {-3, -2, -1, 1, 2, 3}

Co-domain of S: The set of all second components (y-values) of the ordered pairs in S.

Co-domain of S = {-3, -2, -1, 1, 2, 3}

d. Arrow diagram for S:

Domain (C): {-3, -2, -1, 1, 2, 3}

Co-domain (D): {-3, -2, -1, 1, 2, 3}

(2, 2) -----> (0)  // 0 represents an integer

(-1, -1) -----> (0)

(3, 3) -----> (0)

(3, -3) -----> (2/3)  // 2/3 is not an integer

Note: The arrow diagram helps visualize the mapping of elements from the domain to the co-domain based on the relation S. Arrows point from the element in the domain to the result of the expression (integer or not integer) in the co-domain.

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The number of unique random numbers which need to be selected from the table of random digits is: C. 800.

A random number can be defined as a numerical value that's unique and cannot be predicted based on past or present numerical values.

Based on the information given, the total number of objects are 1,200 and they are to be placed into three (3) equally sized treatment groups.

Each group = 1200/3

Each group = 400 objects.

Selection = 400 × 2

Unique selection = 800 random numbers.

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