2(x-y) and 2x-2y are they the same and how

The value of the expression (6¾) × -11.5 is; -77⅝

We want to find the value of;

(6¾) × -11.5

Let us change 6¾ to improper fraction to get;

27/4

Also,let's change -11.5 to an improper fraction to get; -115/10

Thus;

(6¾) × -11.5 = 27/4 × -115/10

>> (-115 × 27)/(40)

>> 3105/40

>> -77⅝

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Answer:

14 %   pure juice comes from  first brand

Step-by-step explanation:

Mixture:

17 gal 30% contains:  17x 30% = 5.10 gal pure juice

 Second brand:

8 gal 48% contains:  8x40% =  3.84   gal pure juice

5.10 − 3.84 = 1.26   gal

1.26   gal is  coming  from 9 gal of first  brand

The percentage of first brand  is:

(1.26/9) x100  =  14 %   pure juice.

The total amount of money the golf team collected from the bake sale is $204.75.

In mathematics, a product is the result of multiplication, or an expression that identities factors to be multiplied.

Now it is given that,

Number of cupcakes = 50

Cost of each cupcake = $1.50

⇒Total Cost of 50 cupcakes = 50 x $1.50 = $75

Number of cookies = 100

Cost of each cookies = $1.00

⇒Total Cost of 50 cookies = 100 x $1.00 = $100

Number of people donated = 7

Amount of donation per person = $4.25

⇒Total amount received from donation = 7 x $4.25 = $29.75

Hence, total amount of money the golf team collected from the bake sale = Total Cost of 50 cupcakes + Total Cost of 50 cookies + Total amount received from donation

⇒total amount of money the golf team collected from the bake sale

                                =  $75 + $100 + $29.75                  

⇒total amount of money the golf team collected from the bake sale

                                = $204.75

Hence, The total amount of money the golf team collected from the bake sale is $204.75.

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The trigonometric function plot in Cartesian plane is shown below.

In this question we must create a graph of a trigonometric function, tangent function. The complete procedure is summarized below:

Step 1:

x = 0

tan 0 = 0

tan (π / 4) = 1

tan (π / 2) = NaN

tan (3π / 4) = - 1

tan π = 0

tan (5π / 4) = 1

tan (3π / 2) = NaN

tan (7π / 4) = - 1

tan 2π = 0

Step 2 & 3 - The result is shown in the image attached below.

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Answer:

R - 116 + 35 is your expression I am pretty sure

Step-by-step explanation:

y = 4x + 3.

Therefore y = 7 + 3x

=> (4x + 3) = 7 + 3x

=> x = 4.

y = 4(4) + 3 = 19.

The solution pair is (4,19).

Answer:

the answer of the question is 25

Therefore, the sum of the first 1234 terms of this sequence is 1234.

To find the sum of the first 1234 terms of the sequence consisting of 1's separated by blocks of 2's with n 2's in the nth block, we need to determine the number of blocks and the number of 1's in each block.

Let's examine the pattern of the sequence:

Block 1: 2's

= 1's

= 1 (1 2)

Block 2: 2's

= 2's

= 22 (1 22 1)

Block 3: 2's

= 3's

= 222 (1 222 1)

Block 4: 2's

= 4's

= 2222 (1 2222 1)

...

We observe that the number of 2's in each block is equal to the number of the block itself. So, in the nth block, there are n 2's.

Now, let's calculate the number of blocks required to reach the 1234th term:

To find the number of blocks, we need to determine the maximum block number before the 1234th term. We can calculate this by finding the sum of the series 1 + 2 + 3 + ... + n until the sum is greater than or equal to 1234.

The formula for the sum of the series 1 + 2 + 3 + ... + n is given by: S = (n/2)(n+1).

Let's solve this equation:

(n/2)(n+1) = 1234

\(n^2 + n - 2468 = 0\)

Using the quadratic formula:

n = (-1 + √(1 + 4*2468)) / 2

n ≈ 61.76

Since n must be a whole number, we take the ceiling of n, which gives us 62.

Therefore, there are 62 blocks in the sequence.

Next, let's calculate the number of 1's in each block:

In the nth block, there are n 2's. Since each 2 is separated by a 1, there are n + 1 terms in each block.

So, the number of 1's in each block is (n + 1) - n = 1.

Since there is always one 1 between two consecutive blocks, the total number of 1's in the sequence is equal to the number of blocks, which is 62.

Finally, let's calculate the sum of the first 1234 terms:

Each block has n + 1 terms, which gives us (n + 1) + (n + 1) + ... + (n + 1) (62 times).

Sum of (n + 1) repeated 62 times = 62(n + 1)

= 62 * 2

= 124.

In addition to the blocks, we have 1234 - 62 = 1172 remaining terms, which are all 1's.

So, the sum of the first 1234 terms is 62 + 1172 = 1234.

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Answer:

6 miles

Step-by-step explanation:

20.00 - 2.00 = 18

18/3 = 6

she can travel 6 miles

Answer:

4726.96 cm²

Step-by-step explanation:

What we know:

    - 36.7cm

    - 128.8 cm

    - Length × Width = Area

What we need to figure out:

    - The Area

Step 1 of 1: Multiply
36.7 × 128.8 = 4726.96

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Answer:

(4 * (1 + 2 * 3))^5

Step-by-step explanation:

Try many possibilites and see which one is greater.

The '5' should be an exponent, as it will make the result very large.

Multiplication is usually an operation that makes numbers very big.

Answer:

10sqrt3

Step-by-step explanation:

sqrt300

= sqrt(100*3)

=10sqrt3

Answer:

3ft

Step-by-step explanation:

because 9 times 3 equal 27

Answer:

my answer is A

Step-by-step explanation:

if you work out the equation where you know that at the x intercept y=0 you will find A to be true

The Laplace transform of y''(t) + 4y(t) = sin(nt) with initial values y(0) = 0 and y'(0) = 0 is Y(s) = sin(nt)/(s^2 + 4).

Using the Laplace transform, we can write:

s^2 Y(s) - s*y(0) - y'(0) + 4Y(s) = 1/(s^2 + n^2)

Substituting y(0) = 0 and y'(0) = 0, we get:

s^2 Y(s) + 4Y(s) = 1/(s^2 + n^2)

Factoring out Y(s), we have:

Y(s) = sin(nt)/(s^2 + 4)

To find y(t), we need to take the inverse Laplace transform of Y(s). Using a table of Laplace transforms, we know that the inverse Laplace transform of sin(nt)/(s^2 + 4) is:

y(t) = u(t)*sin(2t)/2

where u(t) is the unit step function.

Therefore, the solution to the differential equation y''(t) + 4y(t) = sin(nt) with initial values y(0) = 0 and y'(0) = 0 is y(t) = u(t)*sin(2t)/2.

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Answer:

d=20

Step-by-step explanation:

To find the distance between 2 points we use the distance formula

d = √(x2 - x1)²+(y2 - y1)²

The given points are (x1= -8, y1 = -6) and (x2 = 4, y2 = 10).

Substitute the given points into the distance formula.

d = √(4 + 8)²+(10 +6)²

d = √144+252

d= √400

d = 20

The length of the rectangle can be represented by the expression (x + 5).

Given, The width of the rectangle is (x + 3)

The area of the rectangle is x² + 8x + 15

Now we can write the formula for the area of the rectangle as A = l x w, where A is the area of the rectangle, l is the length of the rectangle, and w is the width of the rectangle.

Therefore, the expression for the length of the rectangle is:

x² + 8x + 15 = (x + 5) (x + 3)

Using the distributive property on the right-hand side of the equation we have:x² + 8x + 15 = x² + 8x + 15

So, the length of the rectangle is (x + 5).

The length of the rectangle can be represented by the expression (x + 5).

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The cone has a volume of (D) 288in3.

To find the volume:

Given:

Formula:

The Pythagorean theorem is used to calculate height.

The volume of the cone:

Therefore, the volume of the cone is (D) 288in³.

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The complete question is given below:
Right triangle ABC, shown, has a vertical leg 6 inches long and a hypotenuse 10 inches long. If the triangle was rotated 360 degrees around the vertical leg to form a right circular cone, what would be the volume of this cone, in cubic inches?

A. 32

B. 96

C. 128

D. 288

E. 384

An outlier can significantly impact a regression equation by distorting the estimated coefficients and reducing the model's accuracy.

Outliers are data points that deviate significantly from the general trend of the data set. In a regression analysis, which seeks to establish a relationship between two or more variables, outliers can have several effects:

Influence on coefficients: Outliers can have a disproportionate impact on the estimated coefficients of the regression equation. Since the regression equation is fitted based on minimizing the sum of squared residuals, outliers with large residuals can heavily influence the coefficients by pulling the line of best fit towards them. This can result in coefficients that do not accurately represent the true relationship between the variables, leading to biased estimates.

Reduction of model accuracy: Outliers can also reduce the accuracy of the regression model. The presence of outliers can increase the residual sum of squares (RSS), which is used to assess the goodness of fit of the model. A higher RSS indicates that the model does not adequately explain the variability in the data, leading to reduced accuracy in predicting outcomes.

Violation of assumptions: Regression analysis assumes that the data follows certain assumptions, such as linearity, independence, homoscedasticity, and normality. Outliers can violate these assumptions, leading to invalid inferences and unreliable predictions.

Loss of interpretability: Outliers can make the interpretation of the regression equation more complex and less meaningful. If the coefficients are significantly influenced by outliers, it can be challenging to interpret the true relationship between the variables, as the estimates may be distorted.

Therefore, it is important to identify and appropriately handle outliers in regression analysis to ensure accurate and reliable results. This can involve using robust regression techniques, transforming the data, or excluding the outliers after careful consideration of their validity.

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Answer:

33.6 inches(2.54 cm/1 inch)(1 m/100 cm)

= .85344 meters

Answer:

1/2

Explanation:

Given a geometric progression with the following:

• The first term, a= -8

• The 6th term = -1/4

The nth term of a geometric progression is obtained using the formula:

Substitute the given values:

We solve the equation for r:

Next, take the 5th root of both sides:

The common ratio of the geometric progression is 1/2.

Answer:

\( \frac{7}{25} \)

Step-by-step explanation:

We can solve that using this identity,

\( \sin {}^{2} (x) + \cos {}^{2} (x) = 1\)

plug in -24/25 from x in sin

\( \sin {}^{2} ( \frac{ - 24}{25} ) + \cos {}^{2} (x) = 1\)

\( \sin( \frac{576}{625} ) + \cos {}^{2} (x) = 1\)

\( \cos {}^{2} (x) = 1 - \frac{576}{625} \)

\( \cos {}^{2} (x) = \frac{49}{625} \)

\( \cos(x) = \frac{7}{25} \)

Since cos is positve in quadrant 4, the answer is 7/25.

Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

then

Sin(Ф) = - \(\frac{24}{25}\)

find the angle Ф

Ф = arcSin ( - \(\frac{24}{25}\) )

Ф = -73.739795°

so an angle measured clock wise from x axis at zero°

now use cos(Ф) = x/ 25    to find x

25* cos(  -73.739795°) = x

7 = x   :o  wow... exactly?   :P nice

cos(Ф) = 7/25     I think that's what they wanted to know  

also I noted my calculator tried to find the fraction of 0.2800000049 and couldn't,  but then I just put in 0.28 and it found that to be 7/25  :0  so I think we're spot on  :)  

Z = (23.8 - 25.505) / 3.25987972

To compute the Z-scores, we will use the formula:

Z = (X - μ) / σ

where:

X = individual data point (points per game)

μ = population mean (mean points per game)

σ = population standard deviation (sample standard deviation)

Given the mean (μ) of 25.505 and the sample standard deviation (σ) of 3.25987972, we can compute the Z-scores for the following players:

a) Westbrook, Russell: X = 22.9

Z = (22.9 - 25.505) / 3.25987972

b) Durant, Kevin: X = 26

Z = (26 - 25.505) / 3.25987972

c) Harden, James: X = 36.1

Z = (36.1 - 25.505) / 3.25987972

d) Irving, Kyrie: X = 23.8

Z = (23.8 - 25.505) / 3.25987972

To compute the Z-scores for each player, substitute the respective X values into the formula and calculate the result.

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The value of the integral ∫[1,3] (3ex - 2) dx is 3(e3 - e) - 4. The bolded keywords are "3(e3 - e) - 4," which represents the evaluated value of the integral using the properties of integrals.

To evaluate the integral ∫[1,3] (3ex - 2) dx, we can use the properties of integrals, specifically linearity and the power rule.

Let's break down the integral and apply the properties:

∫[1,3] (3ex - 2) dx

= ∫[1,3] 3ex dx - ∫[1,3] 2 dx

Using the power rule of integration, the integral of ex with respect to x is simply ex.

∫[1,3] 3ex dx = 3 ∫[1,3] ex dx

Now we can evaluate this integral:

= 3[ex] from 1 to 3

= 3(e3 - e1)

= 3(e3 - e)

Next, let's evaluate the second integral:

∫[1,3] 2 dx = 2 ∫[1,3] dx

The integral of a constant with respect to x is simply the constant times the difference of the limits of integration.

= 2[x] from 1 to 3

= 2(3 - 1)

= 2(2)

= 4

Now, we can combine the results of the two integrals:

∫[1,3] (3ex - 2) dx = 3(e3 - e) - 4

Therefore, the value of the integral ∫[1,3] (3ex - 2) dx is 3(e3 - e) - 4.

In the final answer, the bolded keywords are "3(e3 - e) - 4," which represents the evaluated value of the integral using the properties of integrals.

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Answer:

Step-by-step explanation:

P(4 only on the last roll) = P(not 4 on first roll) and P(not 4 on the second roll) and P(not 4 on the third roll) and P(4 on the last roll)

in probability and = multiplication

P( not roll a 4) = 1 - P(roll a 4)

P(4 only on the last roll) = 1-P(4) * 1-P(4)  *1-P(4) * P(4)

P(4) = 1 (1 time# 4 appears on the die)/6 (#of possible outcomes 1,2,3,4,5,6)

P(4 only on the last roll) = 1-(1/6) * 1-(1/6)  *1-(1/6) * (1/6)

P(4 only on the last roll) =(5*5*5*1)/(6*6*6*6) = 125/1296

Answer: 125/1296

Step-by-step explanation:

Answer:

x=26°, y=26°, z=26°

Step-by-step explanation:

x+74=100 (the sum of linear pair)

x=100-74

x=26

x=y=26 (alternate angle)

y=z=26 (vertically opposite angle V.O.A)