Write the translation notation for 2 units left and 3 units up

Answer:

your fraction is 32/100

Step-by-step explanation:

64^1=64 -> 64/2 = 32

10^-2= 0.01 -> 32 * 0.01 = 0.32 = 32 over 100

Answer:

the battery rate is 6.5

Step-by-step explanation:

Answer:

2 percent per minute

Step-by-step explanation:

The rate at which the battery was charged is equivalent to the rate of change of this relationship. In linear relationships, the rate of change is represented by the slope of the line. We can calculate this slope from any two points on the line. Two points whose coordinates are clearly visible from the graph are (0,40) and (5,50). Now, to find the slope, let's take the ratio of the corresponding differences in the y-values and the x-values: 50-40/5-0=10/5=2. The slope of the line is 2, which means the battery was charged at a rate of 2 percent per minute.

According to the given information the line integral is \(=\frac{8}{15}(1+125.\sqrt{10})\).

Line integrals include several integrals across a curve, but definite integrals only entail a single integral over a specified interval. This is the primary distinction between the two types of integrals.

\(\int_C\hairsp xyds,C:x=t^2,y=2t,0\le t\le3\\x^\prime=2t\\y^\prime=2\\ds=\sqrt{\left(x^\prime\right)^2+\left(y^\prime\right)^2}\\\sqrt{{4\left(t\right)}^2+4}\\\int C\ xy\ ds\ =\int_0^3\hairspt^2\cdot2t\cdot2\cdot\sqrt{1+t^2}\mathrm{\ }dt\\t=\ \ tan\ \theta\\dt=(1+{tan}^2\theta)d\theta=({Sec}^2\theta)d\theta\ \\{=\int}_0^3\hairsp4t^3\sqrt{1+t^2}\mathrm{\ }dt\\=\frac{8}{15}(1+125.\sqrt{10})\)

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Answer:

Step-by-step explanation:

(4+7)(3)/2=16.5

To approximate the area under the graph of the function f(x) = sin(x) on the interval [0, π], we can use lower sums and upper sums with different numbers of subintervals.

(a) Lower sums: To calculate the area using lower sums, we divide the interval [0, π] into n subintervals of equal width and construct rectangles below the graph of f(x). The height of each rectangle is taken as the minimum value of f(x) within that subinterval. As n increases, the approximation improves.

For n = 4 subintervals, the width of each subinterval is (π - 0)/4 = π/4. The heights of the rectangles are sin(0), sin(π/4), sin(π/2), and sin(3π/4). The sum of the areas of these rectangles gives the approximate area under the graph of f(x) using lower sums.

(b) Upper sums: Similar to lower sums, upper sums involve constructing rectangles above the graph of f(x) using the maximum value of f(x) within each subinterval.

For n = 8 subintervals, the width of each subinterval is (π - 0)/8 = π/8. The heights of the rectangles are sin(0), sin(π/8), sin(π/4), ..., sin(7π/8). The sum of the areas of these rectangles gives the approximate area under the graph of f(x) using upper sums.

To calculate the specific value for S8, you would evaluate sin(0) + sin(π/8) + sin(π/4) + ... + sin(7π/8).

Note: The numerical values for the approximate areas can be calculated by evaluating the sums and may vary depending on the level of precision desired.

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The score that should lead to a better grade can be identified by considering the z-scores. The z-score measures how many standard deviations a raw score is above or below the population mean. In this case, a higher z-score indicates a better grade.

To determine which score leads to a better grade, we calculate the z-score for each score using the formula: z = (X - M) / SD. Here's the calculation for each score:

For X = 70:

z = (70 - 92) / 8

z = -2.75

For X = 60:

z = (60 - 72) / 12

z = -1

Comparing the z-scores, we find that a score of X = 70 has a higher z-score (-2.75) than a score of X = 60 (-1). Therefore, the score of 70 should lead to a better grade than the score of 60.

In summary, the score with the higher z-score is the one that should lead to a better grade. In this case, a score of 70 has a higher z-score compared to a score of 60, indicating a better grade for the score of 70.

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identity property in multiplication goes to the second option

commutative property goes to the first option

identity property in addition goes to the last option

associative property goes to the fourth option

distributive property goes to the third option

I may have gotten some wrong , if I did I am very sorry,if i didnt get any wrong, then I hoped this helped!

Answer:

Step-by-step explanation:

Solve

1

Add  

5

5

5

to both sides of the equation

1

1

−

5

=

2

8

11p-5=28

11p−5=28

1

1

−

5

+

5

=

2

8

+

5

11p-5+{\color{#c92786}{5}}=28+{\color{#c92786}{5}}

11p−5+5=28+5

2

Simplify

Add the numbers

Add the numbers

1

1

=

3

3

11p=33

11p=33

3

Divide both sides of the equation by the same term

1

1

=

3

3

11p=33

11p=33

1

1

1

1

=

3

3

1

1

1111p​=1133​

4

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

3

p=3

p=3

Solution

=

3

so basically yeah p = 3

Answer:

The value of x is 9

Step-by-step explanation:

The measure of the exterior angle at a vertex of a triangle equals the sum of the measures of the two opposite interior angles to this vertex

In the given figure

∵ ∠DFG is an exterior angle at vertex F

∵ The angles of measures (5x - 7) and 89° are the opposite interior

    angles to the vertex F

∴ m∠DFG = (5x - 7) + 89

∵ m∠DFG = 14x + 1

→ Substitute it in the equation above

∴ 14x + 1 = 5x - 7 + 89

→ Add the like terms in the right side

∵ 14x + 1 = 5x + 82

→ Subtract 1 from both sides

∵ 14x + 1 - 1 = 5x + 82 - 1

∴ 14x = 5x + 81

→ Subtract 5x from both sides

∴ 14x - 5x = 5x - 5x + 81

∴ 9x = 81

→ Divide both sides by 9

∴ x = 9

∴ The value of x is 9

The probability that at least 25 of the 29 customers have looked at their credit score in the past six months is:

P(X ≥ 25) = sum(P(X = i)) i = 25 to 29

This is a question of probability and statistics, specifically in the area of binomial distributions. The probability of a single event can be calculated using the binomial probability formula:

P(X = k) = (n choose k) * p^k * (1-p)^(n-k)

X = the number of successful outcomes (in this case, the number of customers who have looked at their credit score in the past six months)

k = the number of successful outcomes we want to know the probability of (in this case, 25)

n = the total number of trials or customers (in this case, 29)

p = the probability of a successful outcome (in this case, 0.67 or 67%)

        P(X ≥ k) = sum(P(X = i)) i = k to n

        P(X ≥ 25) = sum(P(X = i)) i = 25 to 29

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A type II error is a statistical term used to describe the failure to reject a false null hypothesis. It occurs when the null hypothesis is actually false but is not rejected because the statistical test failed to find significant evidence against it.

In other words, it happens when an alternative hypothesis is true, but we fail to reject the null hypothesis.

Types of errors in hypothesis testing

There are two types of errors in hypothesis testing:

Type I error: Rejecting a true null hypothesis

Type II error: Failing to reject a false null hypothesis.Type I error occurs when a true null hypothesis is rejected while Type II error occurs when a false null hypothesis is not rejected. These types of errors are inversely related, meaning that a decrease in one type of error causes an increase in the other.

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The given scenario involves a concept in mathematics called exponential growth. It is the type of growth in which the rate of change increases continuously over time. One example of exponential growth is the spread of a virus.

In this case, the spread of the information about the snowfall is the example of exponential growth. Let's explore the scenario in detail:At 4:00, Devon called 6 friends to inform them about the forecast of snow.

Thus, at 4:00, there were 6 people who knew about the snow forecast. At 6:00, each of those 6 friends called 6 more friends. Therefore, at 6:00, there were 6 * 6 = 36 people who knew about the snow forecast.

At 8:00, each of those 36 friends called 6 more friends. Thus, at 8:00, there were 36 * 6 = 216 people who knew about the snow forecast. We can represent this information in the form of a table:

Time    No. of People 4:00      6 6:00      36 8:00      216 As we can see from the table, the number of people knowing about the snow forecast is increasing exponentially.

At each stage, the number of people knowing about the forecast is multiplying by a factor of 6. Hence, it is clear that the scenario involves exponential growth.

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Answer:

10/12 =5/6

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

I believ you meant what is the simplest version of that fraction and that would be 5/6. Both 10 and 12 are divisable by 2 and 5 can not be reduced

Answer:

its kinda hard to explain udisng words but mutiple to get acxorss then plit it and SFF and you should get the asnwer

Step-by-step explanation:

An equation for the line in slope-intercept form is, \(y = \frac{5}{4}x + 8\).

What is slope intercept form of the line?

Using a straight line's slope and the location of its y-axis intersection, the slope intercept equation can be used to determine the general equation of the line. Y = mx + b is the equation in slope intercept form.

From the given graph of line we have to find the equation of line in slope - intercept form.

From graph we can see that the line passes through the points (0, 8) and (8, 18).

From this two points first to find the slope of the line.

\(m = \frac{y_2-y_1}{x_2-x_1} = \frac{18-8}{8-0} = \frac{10}{8} = \frac{5}{4}\)

Now, consider the slope point form of the line,

\(y-y_1=m(x-x_1)\)

Plug, \((x_1, y_1) = (0, 8), m = \frac{5}{4}\)  in the above equation.

⇒

\(y-8=\frac{5}{4}(x-0)\\ y-8=\frac{5}{4}x\\ y=\frac{5}{4}x+8\)

Hence, the equation of line in slope intercept form is, \(y = \frac{5}{4}x + 8\).

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Graph:

The estimated current total cost for the installed and insulated tank is $12,065.73.

The first step is to calculate the surface area of the tank. The surface area of a cylinder is calculated as follows:

surface_area = 2 * pi * r * h + 2 * pi * r^2

where:

r is the radius of the cylinder

h is the height of the cylinder

In this case, the radius of the cylinder is 1 meter (half of the diameter) and the height of the cylinder is 1 meter. So the surface area of the tank is:

surface_area = 2 * pi * 1 * 1 + 2 * pi * 1^2 = 6.283185307179586

The insulation will add a thickness of 0.05 meters to the surface area of the tank, so the total surface area of the insulated tank is:

surface_area = 6.283185307179586 + 2 * pi * 1 * 0.05 = 6.806032934459293

The cost of the insulation is $40 per square meter and the cost of labor is $95 per square meter, so the total cost of the insulation and labor is:

cost = 6.806032934459293 * (40 + 95) = $1,165.73

The original cost of the tank was $10,900, so the total cost of the insulated tank is:

cost = 10900 + 1165.73 = $12,065.73

Therefore, the estimated current total cost for the installed and insulated tank is $12,065.73.

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Answer:

A:5 cm, 5cm,and 5cm

Step-by-step explanation:

.......

Therefore, the center of pressure on the triangular sail is approximately (1.2, 0.9).

The center of pressure on a boat's sail that occupies a region R in the plane is given by

x = ∬R xydA/∬R ydA` and y = ∬R x²ydA/∬R xydA`.

To calculate the center of pressure on a triangular sail with vertices (0,0),(3,2) and (0,7) we will use the following formulas:

x = ∬R xydA/∬R ydA

y = ∬R x²ydA/∬R xydA

Remember that in this case, the region R in the plane is the triangular sail with vertices (0,0), (3,2), and (0,7).

Hence, the equations for x-bar and y-bar are:x-bar = ∬R xydA/∬R ydA= ∫(x=0 to x=3) ∫(y=0 to y=(7x/3))

=  xy dy dx/ ∫(x=0 to x=3) ∫(y=0 to y=(7x/3)) y dy dx= 42/35= 1.2 units (approx)

And,y-bar = ∬R x²ydA/∬R xydA= ∫(x=0 to x=3) ∫(y=0 to y=(7x/3)) x²y dy dx/ ∫(x=0 to x=3) ∫(y=0 to y=(7x/3)) xy dy dx= 63/70= 0.9 units (approx)

Therefore, the center of pressure on the triangular sail is approximately (1.2, 0.9).

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Answer:

Step-by-step explanation:

To check for 6 - Number should be Divisible by 2 and 3

4186650 is divisible by 2 % 3

To check for 8 - Las Three digits should be taken as a number and be checked if its divisible my 8

4186650 / 4 = 165.5

So the number is not divisible by 8

To check for 11 - we need to add the odd places and the even places and then subtract them both. if the answer is 11 or 0 then its divisible

4 + 8 + 6 + 0 = 19

1 + 6 + 5 = 12

19 - 12 = 7

So the number is not divisible by 11

Hope you are clear

Answer: pm • pn = p(m • n)

Step-by-step explanation:

Since Sophie can grade 11 papers per hour

Since she worked for 5 hours, then

Multiply 11 by 5 to find the number of the graded papers

Since the total number of papers is 86, then to find the number of the remaining papers subtract 55 from 86

There were 31 paper Sophie has to grade after working 5 hours

The probability of a discrete random variable X following a hypergeometric distribution, with m=7, n=5, and k=6, to have a value of 5 is dhyper(5,7,5,6).

Hypergeometric distributions are used to calculate the probability of success in an independent sample drawn from a finite population without replacement. The probability of success is given by the equation: dhyper(x, m, n, k), where x is the number of successes, m is the population size, n is the number of draws, and k is the number of successes in the population.

In this case, x = 5, m = 7, n = 5, and k = 6. Therefore, the probability of success for X = 5 is dhyper(5,7,5,6).

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The required value(s) of y0 such that the solution has a vertical asymptote at t = 2 and a t-interval of existence −[infinity] is:

y0 < 0.

The given initial value problem:

y′=3y2, y(0)=y0.

We can solve this initial value problem by using separation of variables. That is, we can write the given equation as:

dy/y2 = 3dt

Integrating both sides, we get:

-1/y = 3t + c, where c is a constant.

Then, the general solution of the given differential equation is:

y(t) = -1/(3t + c).

We are given that the solution has a vertical asymptote at t = 2. Therefore, we have:

3t + c = 0 when t = 2, which gives c = -6.

Then, we have:

y(t) = -1/(3t - 6)

Now, we need to determine the values of y0 such that the solution has a t-interval of existence −[infinity].

From the above equation, we see that the solution has a vertical asymptote at t = 2.

Hence, the interval of existence of the solution is (−∞, 2) U (2, ∞).

Also, for t in (−∞, 2), we have:y(t) = -1/(3t - 6) < 0Therefore, for the solution to have a t-interval of existence −[infinity], we must have y0 < 0.

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The residual for this case is approximately -0.4.

The predicted response for the given case can be obtained by substituting the values of X1, X2, X3, and X4 into the regression equation:

Y = 45.32 - 6.556X1 + 1.697X2 + 1.404X3 + 0.426X4

Substituting X1 = 10, X2 = 8, X3 = 6, and X4 = 48:

Y = 45.32 - 6.556(10) + 1.697(8) + 1.404(6) + 0.426(48)

Y ≈ 24.4

The predicted response for this case is approximately 24.4.

The residual is calculated by subtracting the predicted response from the actual response:

Residual = Actual response - Predicted response

Residual = 24 - 24.4

Residual ≈ -0.4

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The length of the rectangle=10 m

The width of the rectangle=5 m

Here, we have,

given that,

If the length of the rectangle is twice the width, and the perimeter of the rectangle is 30m.

we have,

Step 1: Determine the dimensions of the rectangle

let the width of the rectangle be;

width=w

length=2×w=2 w

Step 2: Determine the perimeter of the rectangle

P=2(L+W)

where;

P=perimeter of the rectangle

L=length of the rectangle

W=width of the rectangle

In our case;

P=30 m

L=2 w

W=w

replacing;

2(2 w+w)=30

4 w+2 w=30

6 w=30

w=30/6=5

w=5 m

The length of the rectangle=5×2=10 m

The width of the rectangle=5 m

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complete question:

If the length of the rectangle is twice the width, and the perimeter of the rectangle is 30m, what is length and what is the width of the rectangle?A)4 units B)5 units C)10 units D)12 units

Answer:

22 degrees

Step-by-step explanation:

158 x 2 is 316

360 - 316 = 44

44 / 2 = 22

and both are the same angles for each set of angles.

Answer:

3.75

Step-by-step explanation:

Just divide 1.5 by 0.4

just ask your teacher for extra help if needed

The bull and alternative hypotheses for consumer advocate is  H₀ : μ = 4 versus H₁ : μ < 4

The null and alternative hypotheses for this case will be as follows:

Null Hypothesis (H₀): The mean amount of cashews per bag is equal to 4 ounces.

Alternative Hypothesis (H₁): The mean amount of cashews per bag is less than 4 ounces.

In symbolic notation, it can be represented as:

H₀: μ = 4

H₁: μ < 4

The null hypothesis assumes that "each bag contains 4 ounces of cashews" is true, while the alternative hypothesis posits that the average amount of cashews per bag is actually less than 4 ounces.

By conducting hypothesis testing, consumer advocates can assess whether the evidence from the sample rejects the null hypothesis in favor of the alternative hypothesis, suggesting that the claim may be incorrect. 

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Answer:

4/5x+2/5 = y

Step-by-step explanation:

(-3, -2) & (2,2) - given points

1. Find Slope

2-(-2) / 2-(-3) = 4/5

m=4/5

2. plug in points to find b

4/5(x)+b=y : mx+b=y (slope intercept form)

4/5(2)+b=2

8/5+b=2

2 - 8/5 = b

10/5 - 8/5 = b

b=2/5

Therefore: 4/5x + 2/5 = y

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