Simplify the following:
3(x + 1) - 4(2x - 5) + 10x

Step-by-step explanation:

Here is how you do this problem:

we start off with the ratio of Darjeeling in the tea as 20% which is 1/5

every time we add (x) amount of Darjeeling, the total weight of the mixture would also increase by (x) amount

this idea can be represented by the expression

1 + x

---------- = 0.7

5 + x

I set this equal to 0.7 because our goal is to get it to 70% = 0.7

solving for x should get you to your answer

Answer:

8 1/3

Step-by-step explanation:

Answer:

$33

Step-by-step explanation:

12+185%

It says that my answer has to be at least 20 characters long that's why I'm typing this.

The number of bricks that the brick mason's apprentice needs to move to complete the four rows is 96 bricks.

The product of numbers is the value obtained after multiplying two or more other numbers together.

The product is the result of a multiplication operation.  It is the opposite of a dividend, which results after a division.

Number of rows = 4

Number of bricks per row = 24

The total number of bricks required for 4 rows = 96 (4 x 24).

Thus, the number of bricks the brick mason's apprentice needs to move is 96 bricks to complete the four rows.

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a) The level of significance, denoted as α, is 0.05, which means we are willing to accept a 5% chance of making a Type I error (rejecting the null hypothesis when it is true).

The null hypothesis, denoted as H0, states that Gentle Ben's overall average glucose level is not higher than 85 mg/100ml. The alternate hypothesis, denoted as Ha, suggests that Gentle Ben's overall average glucose level is higher than 85 mg/100ml. In this case, we will use a right-tailed test because we are interested in determining if the average glucose level is higher.

b) The sampling distribution we will use is the t-distribution. Since the population standard deviation (σ) is unknown, we use the sample standard deviation (s) to estimate it. With a small sample size (n = 8), the t-distribution provides a better approximation for the sampling distribution of the sample mean.

c) To find the P-value, we need to calculate the test statistic. The formula for the t-test statistic is:

t = (x - μ) / (s / √n)

where x is the sample mean, μ is the hypothesized population mean, s is the sample standard deviation, and n is the sample size. Plugging in the values, we have:

t = (93.8 - 85) / (12.5 / √8) ≈ 1.785

Next, we find the P-value by comparing the t-value to the t-distribution with n - 1 degrees of freedom. Looking up the t-value in the t-table or using statistical software, we find that the P-value is approximately 0.052.

d) Since the P-value (0.052) is greater than the chosen significance level (0.05), we fail to reject the null hypothesis. The data do not provide sufficient evidence to conclude that Gentle Ben's overall average glucose level is higher than 85 mg/100ml. The data are not statistically significant at the α = 0.05 level.

e) In the context of the application, we cannot conclude that Gentle Ben's overall average glucose level is higher than the recommended level of 85 mg/100ml based on the available data. Further investigation or a larger sample size may be necessary to draw more definitive conclusions about Gentle Ben's glucose levels.

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Answer:

Bottom right

Step-by-step explanation:

Each domain value can only have 1 range value.

In a triangle, the circumcenter is the point of intersection of three perpendicular bisectors, whereas the Centroid is the point of intersection of the three medians.

The point of intersection of a triangle's three perpendicular bisectors is known as the circumcenter. The circumcenter is the center of the circumcircle that passes through the triangle's three vertices.

The circumcenter will be equidistant from all the vertices of the triangle.  are equidistant from the circumcenter. The location of the circumcenter is different for different triangles.

For example, In an acute-angle triangle, the circumcenter will be inside the triangle. For an obtuse angle triangle, The circumcenter will be outside the triangle.

The center of any object is represented by its centroid. The centroid of a triangle is the point where the triangle's three medians connect. It is also known as the center of gravity.

According to the centroid theorem, the centroid of the triangle is at 2/3 of the distance from the vertices to the mid-point of the corresponding sides. It will same for the three sides of the triangle.

By the definition and explanation,

The difference between circumcentre and centroid is

"The circumcenter is the point of intersection of three perpendicular bisectors, whereas the Centroid is the point of intersection of the three medians".

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Answer:

z = -2

Step-by-step explanation:

First, use the Distributive property to Multiply 4*3z. Do the same to 4*5. You should now have 12z + 20 = -4

Next, you want to isolate the variable. To do that, start by Subtracting 20 from both sides of the equation sign. You should now have 12z = -24

Last, Divide each side by 12. You should now have z = -2

I hope this helps!

Answer:

52°

Step-by-step explanation:

it should always add up to 180°

Answer:

y=6

Step-by-step explanation:

-6 + 14 + 4y = 32

8+4y=32

4y=32-8

4y= 24

y=24/4

y=6

Answer:

Y = 6

Step-by-step explanation:

-6 + 14 = 8

8 + 4y = 32

4y = 32 - 8

4y = 24

divide both sides by 4

Y = 6

When a time series is very noisy, then the forecast errors will increase. So, the correct answer is C.

A time series is a collection of data points collected at regular intervals over time. A time series is used to analyze past trends and forecast future values. It is used to comprehend past behavior and to forecast future behavior.

The following are the characteristics of a time series:

The primary concern of time series forecasting is to predict future values based on past values. Time series prediction errors are unavoidable. The forecast errors can occur in different forms, including point error, mean absolute error, mean squared error, root mean squared error, mean absolute percentage error, and others. When a time series is extremely noisy, then the forecast errors will increase.

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The volume of the solid obtained by rotating the region bounded by the curves about the x-axis is π/77 (243 - 9sqrt(3)).

To find the volume of the solid obtained by rotating the region bounded by the curves about the x-axis, we can use the method of cylindrical shells. This involves integrating the circumference of a cylindrical shell times its height to obtain the volume of each shell, and then adding up the volumes of all the shells to get the total volume.

First, let's find the points of intersection of the two curves:

2/7 x^2 = 9/7 - x^2

9/7 = 9/7 x^2 + 2/7 x^2

9/7 = 11/7 x^2

x^2 = 9/11

x = ±sqrt(9/11)

The solid we obtain by rotating this region about the x-axis will have cylindrical shells with height dx, radius x, and circumference 2πx. Therefore, the volume of each shell will be:

dV = 2πx × h × dx

where h is the difference between the y-values of the curves at x:

h = (9/7 - x^2) - (2/7 x^2) = 9/7 - 9/7 x^2

Therefore, the total volume of the solid will be:

V = ∫(from x = -sqrt(9/11) to x = sqrt(9/11)) 2πx * (9/7 - 9/7 x^2) dx

V = 2π/7 ∫(from x = -sqrt(9/11) to x = sqrt(9/11)) x(9 - 9x^2) dx

We can simplify the integrand by setting u = 9x^2:

du/dx = 18x

dx = du/18x

Substituting:

V = 2π/7 ∫(from u = 9/11 to u = 81/11) (1/2)u^(1/2) (9/2) (du/18x)

V = π/7 ∫(from u = 9/11 to u = 81/11) u^(1/2) / x du

V = π/7 ∫(from u = 9/11 to u = 81/11) u^(1/2) / sqrt(9/11 - u/11) du

This integral can be evaluated using a trigonometric substitution. Let u = 9/11 sin^2 θ, then:

du/dθ = (18/11) sin θ cos θ dθ

Substituting:

V = π/7 ∫(from θ = π/6 to θ = π/2) (81/121) sin^3 θ dθ

V = π/7 [(81/121) * (3/4) - (9/121) × (sqrt(3)/2)]

V = π/77 (243 - 9sqrt(3))

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The better value is $27 for 4 large pizzas.

To compare the value, we need to calculate the cost per pizza for each offer:

For the first offer, $27 for 4 large pizzas:

Cost per pizza = $27 / 4 = $6.75

For the second offer, $32 for 5 late pizzas:

Cost per pizza = $32 / 5 = $6.40

Comparing the two, we can see that the cost per pizza for the first offer is $6.75, while the cost per pizza for the second offer is $6.40. Therefore, the first offer of $27 for 4 large pizzas provides a better value, as each pizza costs slightly less compared to the second offer.

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According the inscribed angle theorem, t = 76°. The inscribed angle theorem postulates that the inscribed angles subtended by the same arc are equal.

Step 1: Note that the line segment YX can be used to create an arc.

Step 2: Since the vertexes 76° and t° are subtended by the same arc, that makes t = 76°.

Note: An arc, line segment, or other portion of a curve subtends an angle when its two rays pass through the endpoints of that arc, line segment, or curve section.

So the correct answer is m∠t = 76°

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Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The number is x, then:

The number is 3

The correct answer is  you will get approximately £1.30 for one Australian dollar.

To find out how many British pounds you will get for one Australian dollar, we need to determine the exchange rate between the British pound and the Australian dollar.

Given that £1 = US$1.11316 and A$1 = US$0.8558, we can calculate the exchange rate between the British pound and the Australian dollar as follows:

£1 / (US$1.11316) = A$1 / (US$0.8558)

To find the value of £1 in Australian dollars, we can rearrange the equation:

£1 = (A$1 / (US$0.8558)) * (US$1.11316)

Calculating this expression, we get:

£1 ≈ (1 / 0.8558) * 1.11316 ≈ 1.2992

Therefore, you will get approximately £1.30 for one Australian dollar.

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Answer:

2y + 9

Step-by-step explanation:

For your question, its asking to double the letter y, and add 9 to it. For that, we can say 2y, which is how we double the y, and then write the + 9. It should look like this:

2y + 9

Hope this helps! :)

The coordinates of each image are G'(-2,9), and H'(1,-3).

What are the coordinates?

A pair of numbers that use the horizontal and vertical separations from the two reference axes to define a point's location on a coordinate plane. typically expressed by the x-value and y-value pair (x,y).

Here, we have

R₍₁₈₀°,₀ (GH)

H(-1,3)

G(2,-9)

Now we need to the rotation of 180°  about the origin.

By following the rule, we get,

(x , y) ⇒ (-x , -y)

After solving,

G(2,-9) ⇒ G'(-2,9)

H(-1,3)  ⇒ H'(1,-3)

Hence, the coordinates of each image are G'(-2,9), and H'(1,-3).

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The value of the right Riemann sum approximation for integral ∫₀² f(x) dx is (c) 60.

The right Riemann sum approximation is obtained by dividing the interval [0, 2] into four subintervals of equal length and evaluating the function at the right endpoints of each subinterval. In this case, each subinterval has a length of (2-0)/4 = 0.5. The right endpoints of the subintervals are 0.5, 1.0, 1.5, and 2.0.

To calculate the right Riemann sum, we evaluate the function at these right endpoints and sum up the values multiplied by the subinterval length.

f(0.5) = \(9^{0.5\) = 3

f(1) = 9¹ = 9

f(1.5) = \(9^{1.5\) = 27

f(2) = 9² = 27

The right Riemann sum is then

= (0.5 * f(0.5)) + (0.5 * f(1.0)) + (0.5 * f(1.5)) + (0.5 * f(2.0))

= 0.5 * (3 + 9 + 27 + 81)

= 60.

Therefore, the value of the right Riemann sum approximation for ∫2 to 0 f(x) dx is 60, which corresponds to option (c).

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Given question is incomplete, the complete question is below

let f be the function given by f(x)= 9ˣ, if four subintervals of equal length are used, what is the value of the right riemann sum approximation for∫₀² f(x) dx. 20b. 40c. 60d. 80

Answer:

the value of y is 50 degree

The forecasts for periods 11 through 15 are: F11 = 297.4, F12 = 296.7, F13 = 297.1, F14 = 296.9, F15 = 297.0

Given: Smoothing constant α = 0.45, Forecast for period 10 = 297

We need to calculate the forecasts for periods 11 through 15 using the essential smoothing forecast method.

The essential smoothing forecast is given by:Ft+1 = αAt + (1 - α)

Ft

Where,

At is the actual value for period t, and Ft is the forecasted value for period t.

We have the forecast for period 10, so we can start by calculating the forecast for period 11:F11 = 0.45(297) + (1 - 0.45)F10 = 162.35 + 0.45F10

F11 = 162.35 + 0.45(297) = 297.4

For period 12:F12 = 0.45(At) + (1 - 0.45)F11F12 = 0.45(297.4) + 0.55(297) = 296.7

For period 13:F13 = 0.45(At) + (1 - 0.45)F12F13 = 0.45(296.7) + 0.55(297.4) = 297.1

For period 14:F14 = 0.45(At) + (1 - 0.45)F13F14 = 0.45(297.1) + 0.55(296.7) = 296.9

For period 15:F15 = 0.45(At) + (1 - 0.45)F14F15 = 0.45(296.9) + 0.55(297.1) = 297.0

Therefore, the forecasts for periods 11 through 15 are: F11 = 297.4, F12 = 296.7, F13 = 297.1, F14 = 296.9, F15 = 297.0 (All values rounded to two decimal places)

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Answer:

Timothy's present age is 10 and Kevin's 16

Step-by-step explanation:

Kevin is 6 years older than Timorthy

So four years ago, when Timothy was 6 years old Kevin's age was 6×2=12

so now add 4 to both their ages and the answer is solved.

Please mark me brainlist now :)

Answer:

The answer is -285

Step-by-step explanation:

Answer:

look at the attached picture

Answer:

X = -16.75

Step-by-step explanation:

Distribute.

(x + 12)23 = 23x + 276

12 + 5x -1 = 11 + 5x

Combine like terms.

23x - 2x - 5x = 16x

11 - (276 + 3+16 ) = -284

16x = -284

x = -17.75

Answer:

1.0625 seconds

Step-by-step explanation:

Given that:

Initial velocity of Belinda, \(v_0=17\ ft/sec\)

Height in feet of Belinda above the trampoline is given as the formula:

\(d(t) = v_0t-16t^2\)

Where \(t\) is the time in seconds.

To find:

Time taken by Belinda to come back to trampoline = ?

Solution:

When Belinda will come back to trampoline, the height will be zero.

Putting \(d(t) =0\)

We have the equation as:

\(0 = 17t-16t^2\\\Rightarrow 16t^2-17t=0\\\because t\neq0\\\Rightarrow 16t=17\\\Rightarrow t=\dfrac{17}{16}\\\Rightarrow t =1.0625\ seconds\)

Therefore, the answer is: 1.0625 seconds

Answer:

128°

Step-by-step explanation:

the answer is 128° i explained it as i could in the diagram hope you understand

Answer:

D) \(1 < x\leq 4\)

Step-by-step explanation:

1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)

\(\\ \rm\Rrightarrow g(f(2))\)

\(\\ \rm\Rrightarrow g(3(2)²-4)\)

\(\\ \rm\Rrightarrow g(12-4)\)

\(\\ \rm\Rrightarrow g(8)\)

\(\\ \rm\Rrightarrow 2(8)-6\)

\(\\ \rm\Rrightarrow 16-6\)

\(\\ \rm\Rrightarrow 10\)

Answer:

\(g[f(2)] = 10\)

Step-by-step explanation:

Given functions:

\(\begin{cases}f(x)=3x^2-4\\g(x)=2x-6\end{cases}\)

Find f(2) by substituting \(x = 2\) into function f(x):

\(\begin{aligned}\implies f(2)& =3(2)^2-4\\& = 3(4)-4\\& = 12-4\\& = 8\end{aligned}\)

Now substitute the found value of f(2) into function g(x):

\(\begin{aligned}g[f(2)] & = 2[f(2)]-6\\\implies g[f(2)] & =2(8)-6\\& = 16-6\\& = 10\end{aligned}\)

Answer:

b>3526/15 try this one and see if it works

Answer:

Thery have 30 bikes in total. 37% red bikes. 40% silver. 10% blue. 13% orange.

Step-by-step explanation: