2(x + 25) HELPPPPP MEEEEE

Answer: -21

Step-by-step explanation:

Step-by-step explanation:

let % be X

30 = x% of 600

30 = x × 600 / 100

x = 30 × 100 /60

x = 5

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The linear equation with  the given information is

2y+2 = 3x+18

Given :

The slope of Parallel Lines:

Slopes of parallel lines are equal. The parallel lines are equally inclined with the positive x-axis and hence the slope of parallel lines is equal. If the slopes of two parallel lines are represented as m1, m2 then we have

In Mathematics, a slope of a line is the change in y coordinate with respect to the change in x coordinate.

The net change in the y-coordinate is represented by Δy and the net change in the x-coordinate is represented by Δx.

Hence, the change in y-coordinate with respect to the change in x-coordinate is given by,

m = change in y/change in x = Δy/Δx

Where “m” is the slope of a line.

The slope of the line can also be represented by

tan θ = Δy/Δx

So, tan θ to be the slope of a line.

Generally, the slope of a line gives the measure of its steepness and direction. The slope of a straight line between two points says (x1,y1) and (x2,y2) can be easily determined by finding the difference between the coordinates of the points. The slope is usually represented by the letter ‘m’

m1 = m2.

y 2/3 = x + 1 ...1

2y = 3x+3

y = 3/2x +3/2

m1= 3/2

x,y = -6,-1

y = mx +b

(y-y1 ) =m (x-x1) +b

m1=m2

m2= 3/2

(y +1) = 3/2 (x+6)

2(y+1 )= 3x+18

the equation of the line that is parallel to y 2/3 = x + 1 and passes through the point (–6, –1) = 2y+2 = 3x+18

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Answer:

25

Step-by-step explanation:

AC=50  ∴BC=25

DF is the opposite of BC ( take it as a square BCDF)

Answer:

9/41

Step-by-step explanation:

Draw a right triangle in quadrant 2 and label your opposite (40) and hypotenuse (41) sides then use the pythagorean theorem to find the missing side (the adjacent side)  which is equal to 9. Then since cosine is adjacent/hypotenuse and you get 9/41.

Answer:

(x-3) (x-4)/(x-4)

x(x-4)-3 (x-4)/(x-4)

this is the answer!

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Answer:

the answer is on the picture

Answer:

# 1: 1/3 of the time.

# 2: 1/15

Step-by-step explanation:

#1: This is because since the dice is being tossed 1 time, that would mean that there is only a 2 in 6 chance to roll a number under 3.

#2: look at the picture attached.

In a case whereby baseball game receives 3 raffle tickets and a $2 certificate for the team store. A group of people receives 39 raffle tickets the amount of money in certificates the group receive is  $26.

If one baseball game receives 3 raffle tickets and a $2 certificate for the team store, then we can say that each raffle ticket is worth 2/3 dollars ($2 divided by 3 tickets).

So, for 39 raffle tickets, the group would receive (39 x 2/3) = $26

Therefore, the amount of money in certificates the group receive is  $26

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The base of the exponential function (1.75) is greater than 1, this represents exponential growth. As x increases, the value of the function will grow at an increasing rate.

Exponential growth is a mathematical concept that describes a process where a quantity grows at an increasing rate proportional to its current value. In other words, the larger the quantity, the faster it grows. This leads to a graph that is characterized by a rapid upward curve that becomes steeper and steeper over time.

Exponential growth is often represented by the equation y = abˣ, where y is the final amount, a is the initial amount, b is the growth factor or base, and x is the time or number of periods.

The function f(x) = a(1+r)ˣ represents exponential growth, where "a" is the initial value, "r" is the growth rate as a decimal, and "x" is the time variable.

In this case, the initial value is 50, and the growth rate is 75%, or 0.75 as a decimal. Therefore, the equation for the function becomes:

f(x) = 50(1+0.75)ˣ

Simplifying this expression, we have:

f(x) = 50(1.75)ˣ

Since the base of the exponential function (1.75) is greater than 1, this represents exponential growth. As x increases, the value of the function will grow at an increasing rate.

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Answer:

To convert euros to pounds, we have to multiply the amount in euros by the exchange rate. So, the sunglasses cost 90 * 0.875 = 78.75 pounds.

To use a suitable approximation, we can round the exchange rate to the nearest hundredth, which is 0.88. This makes the calculation easier and gives a close estimate of the actual value.

Using the rounded exchange rate, the sunglasses cost 90 * 0.88 = 79.2 pounds.

We can see that both the exact and the approximate values are greater than 70 pounds, so Elyas is wrong. The sunglasses cost more than 70 pounds

Step-by-step explanation:

Answer:

Three or more points that lie in the same line.

Step-by-step explanation:

Collinear means that certain points lie on the same line. Two points define a line.

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Answer:

Three or more points that lie in the same line.

Step-by-step explanation:

Collinear means that certain points lie on the same line. Two points define a line.

Step-by-step explanation:

Using the together rate, it is found that:

The together rate is the sum of each separate rate.

In this problem, we have that:

Applying the together rate:

\(\frac{1}{x} + \frac{1}{x + 3} = \frac{1}{2}\)

\(\frac{x + 3 + x}{x(x + 3)} = \frac{1}{2}\)

\(4x + 6 = x^2 + 3x\)

\(x^2 - x - 6 = 0\)

Which is a quadratic equation with coefficients \(a = 1, b = -1, c = -6\), hence:

\(\Delta = b^2 - 4ac = (-1)^2 - 4(1)(-6) = 25\)

\(x_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{1 + \sqrt{25}}{2} = 3\)

\(x_2 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{1 - \sqrt{25}}{2} = -2\)

We are interested into the positive root, then \(x = 3\), \(x + 3 = 6\), which means that:

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Answer:

— 3 (1.5n — 1)

Step-by-step explanation:

\( - 4.5n + 3 = - \frac{9}{2} n + 3 = 3( - \frac{3}{2} n + 1) = - 3( \frac{3}{2}n - 1) \\ = - 3(1.5n - 1)\)

Answer:

Step-by-step explanation:

4ft^2(144in^2/ft^2)=576 tiles

Answer:

4,5,6

Step-by-step explanation:

A midsegment connects two midpoints, and this triangle would be made up of all midsegments.  If we know that midsegments are half of the side length, then we can get our answer.

Answer:

100*

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

The exterior angle is the sum of the opposite interior angles

x = 60+40

x = 100

A 95% % lower confidence bound for the true average proportional limit stress of all such joints is 8.01.

In the given question, a sample of 20 joint specimens of a particular type gave a sample mean proportional limit stress of 8.52 mpa and a sample standard deviation of 0.78 mpa.

We have to calculate and interpret a 95% lower confidence bound for the true average proportional limit stress of all such joints.

Sample size: n = 13

Sample mean: x’ = 8.52 mps

Sample standard deviation: s = 0.78 mps

95% lower confidence bound for the true average proportional limit stress of all such joints

Level of Significance (α) = 1-95% = 5% = 0.05

α/2 = 0.025

So the value of t(α/2) = 1.8

The confidence interval = x’± t(α/2)*s/√n

Now putting the value:

The confidence interval = 8.41± (1.8)*(0.78)/√12

The confidence interval = 8.41± (1.8)*(0.226)

The confidence interval = 8.41± 0.4068

The confidence interval = (8.41- 0.4068, 8.41+ 0.4068)

The confidence interval = (8.01, 8.82)

A 95% % lower confidence bound for the true average proportional limit stress of all such joints is 8.01.

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The right question is:

A sample of 12 joint specimens of a particular type gave a sample mean proportional limit stress of 8.41 mpa and a sample standard deviation of 0.78 mpa.

Calculate and interpret a 95% lower confidence bound for the true average proportional limit stress of all such joints. (Round your answer to two decimal places.)

Answer:

So the diameter of the pipe with the insulation around it is approximately 18.84 inches / 2 = 9.42 inches.

Step-by-step explanation:

To find the diameter of the pipe with the insulation around it, we can use the formula for the circumference of a circle:

C = 2 * π * r

Where:

· C = circumference of the pipe

· π = the mathematical constant approximately equal to 3.14

· r = the radius of the pipe

Using the given information, we know that the pipe’s diameter is 2.5 inches and that the insulation around the pipe is 0.5 inch thick. Therefore, the radius of the pipe with the insulation around it is:

r = 2.5 inches + 0.5 inch = 3 inches

Plugging in the values:

C = 2 * π * 3

C = 6.28 * 3

C = 18.84 inches

Note that this is only an approximation, as the thickness of the insulation is slightly larger than the diameter of the pipe. To obtain a more accurate result, we would need to use a geometric area formula or a numerical integration technique.

The value of k is 18.

If x + 2 is a factor of f(x) = x^3 + 5x + k, it means that when x = -2, the expression f(x) becomes zero.

Substituting x = -2 into f(x), we have:

f(-2) = (-2)³ + 5(-2) + k

= -8 - 10 + k

= -18 + k

Since f(-2) should equal zero, we have:

-18 + k = 0

k = 18

Therefore, the value of k is 18.

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4/9 of the students are boys thus 5/9 students are girls.

Let " x " be the number of all students.

So we have :

5/9 × x = 90

Multiply both sides by 9/5

5/9 × 9/5 × x = 90 × 9/5

1 × x = 9 × 9 × 10 × 1/5

x = 81 × 2

x = 162

_______________________________

number of boys = 4/9 × x

n o boys = 4/9 × 162

n o boys = 162/9 × 4

n o boys = 18 × 4

n o boys = 72

Answer:

12

Step-by-step explanation:

the value of the test statistic for testing whether there is a linear relationship between the and the estimated number is 0.3506905

Using a correlation Coefficient calculator, the correlation Coefficient, r for the data = 0.127

The test statistic :

T = r² / √(1 - r²) / (n - 2)

Sample size, n = 10

Hence,

T = 0.127² / √(1 - 0.127²) / (10 - 2)

T = (0.016129 / 0.3506905)

T = 0.3506905

The value of the test statistic to 2 decimal places is 0.35

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The volume of the solid generated by rotating the region bounded by the curve y = x(e^x), x = 0, x = 1, and y = 0 about the y-axis is 2π[e - e^1 + 1]   and the volume of the solid generated by rotating the region bounded by the curve y = arctan(x), x = 0, x = 1, and y = 0 about the y-axis is πtan^2(1).

1) To find the volume of the solid generated by rotating the region bounded by the curve y = x(e^x), x = 0, x = 1, and y = 0 about the y-axis, we can use the method of cylindrical shells.

First, let's express the equation in terms of x: x = ln(y)/y. Now we can set up the integral to calculate the volume. The volume can be obtained by integrating the product of the circumference of each cylindrical shell and its height over the interval [0, 1]:

V = ∫[0,1] 2πx(e^x) dx.

Using integration by parts, we can evaluate this integral as follows:

V = 2π ∫[0,1] x(e^x) dx

 = 2π [x(e^x) - ∫[0,1] e^x dx]

 = 2π [x(e^x) - e^x] | [0,1]

 = 2π[(1(e^1) - e^1) - (0(e^0) - e^0)]

 = 2π[e - e^1 + 1].

2) To find the volume of the solid generated by rotating the region bounded by the curve y = arctan(x), x = 0, x = 1, and y = 0 about the y-axis, we can again use the method of cylindrical shells.

Let's express the equation in terms of x: x = tan(y). Now we can set up the integral to calculate the volume. The volume can be obtained by integrating the product of the circumference of each cylindrical shell and its height over the interval [0, 1]:

V = ∫[0,1] 2πtan(y) dy.

Using the substitution method, we can evaluate this integral as follows:

Let u = tan(y), then du = sec^2(y) dy.

When y = 0, x = tan(0) = 0, and when y = 1, x = tan(1).

Now, the integral becomes:

V = 2π ∫[0,1] u du

 = 2π [u^2/2] | [0,1]

 = 2π[(tan(1))^2/2 - 0]

 = πtan^2(1).

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The maximum volume of the box that can be built with 2000 square centimeters of cardboard is 250,000 cubic centimeters.

To solve this problem, we need to use some basic geometry and algebra. Let's start by defining some variables:

Let's call the length of one side of the square base "x". Since the base is square, the other side will also be "x".

Let's call the height of the box "h".

The cardboard we use to build the base will be a square with sides of length "x". Therefore, the area of the base will be x² square centimeters.

Therefore, the total amount of cardboard we need is:

2000 = x² + 4xh

We can rearrange this equation to solve for one of the variables in terms of the other. Let's solve for h:

h = (2000 - x²) / (4x)

Now we have an equation for the height of the box in terms of the length of one side of the base.

The volume of the box is the product of the area of the base (x²) and the height (h):

V = x² x (2000 - x²) / (4x)

We can simplify this equation by canceling out the "x" terms in the numerator and denominator:

V = (1/4) x x (2000 - x²)

To find the maximum value of the equation, we can complete the square. First, let's rewrite the equation:

V = (1/4) x (2000x - x³)

Now we can complete the square by adding and subtracting a constant:

V = (1/4) x (2000x - x³ + 1000 - 1000)

V = (1/4) x (-(x - 1000)² + 1000²)

Now we have an equation in the form V = (1/4) x (a - b²), where a and b are constants.

In our equation, b is equal to (x - 1000). Therefore, to find the value of "x" that maximizes the equation, we need to set (x - 1000) equal to zero and solve for "x":

x - 1000 = 0

x = 1000

So the length of one side of the square base that maximizes the volume of the box is 1000 cm. We can use this value to find the maximum volume by plugging it into our equation:

V = (1/4) x 1000 x (2000 - 1000²)

V = 250,000 cubic centimeters

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Using it's concept, the probability that a randomly selected boy attended the dance is:

7/9.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

From the table, we have that:

Hence the probability that a randomly selected boy attended the dance is given as follows:

p = 49/63 = 7/9.

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The series of rigid motion transformations that map polygon A to Polygon A''' are;

A rigid transformation is a transformation in which the distance between all pairs of points on the pre-image is preserved following the transformation.

The series of rigid motion transformations that map polygon A to polygon A''' are;

Transformation from A to A'

Transformation from A' to A''

Transformation from A'' to A'''

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The equation will be 6x - 4= 8.

Solve the equation: 6x - 4 = 8 + 4 + 4.

6x = 12. 6 6. x = 2

Hopefully, that helps

Answer:

x=-7

Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

Simplifying

-1(8 + -3x) = 13

(8 * -1 + -3x * -1) = 13

(-8 + 3x) = 13

Solving

-8 + 3x = 13

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '8' to each side of the equation.

-8 + 8 + 3x = 13 + 8

Combine like terms: -8 + 8 = 0

0 + 3x = 13 + 8

3x = 13 + 8

Combine like terms: 13 + 8 = 21

3x = 21

Divide each side by '3'.

x = 7

Simplifying

x = 7