-8x-3=13-9x what is the answer for x?

Answer:

13

Step-by-step explanation:

-1--14

-1+14

13

Answer:

I think that is the fist one.

The area, in square units, between the two functions over the interval [−3,3]. is 36 square units

integral is defined to be exactly the limit and summation that we looked at in the last section to find the net area between a function and the

x-axis.

Also note that the notation for the definite integral is very similar to the notation for an indefinite integral.

the fact that a and b were given as an interval the lower limit does not necessarily need to be smaller than the upper limit. Collectively we’ll often call a and b the interval of integration.

\(\int\limits^3_3 {f(x)} \, dx -\int\limits^3_3 {g(x)} \, dx\\=\int\limits^3_3 {f(x) - g(x) } \, dx \\= \int\limits^3_3 {(x^{2} -9x-18) - (-9x-9)} \, dx \\=\int\limits^3_3 {x^{2} -9x-18 + 9x+9} \, dx \\\\=\int\limits^3_3 {x^{2} -9} \, dx\)

=\(\left \{ {{y=3} \atop {x=-3}} \right. (\frac{x^{3} }{3} -9x)\\= \frac{3^{3} }{3} -9*3 -( \frac{3^{-3} }{3} -9*-3)\\=9-27 +9-27\\= -36\)

The area, in square units, between the two functions over the interval [−3,3]. is 36 square units

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Answer:

What I got for my answer for one of the cylinders is 502.65

I hope I helped :3 Let me know if your confused on it or need something done plz I will gladly help ^w^

The diagonals of a rectangle are congruent as shown below.

Rectangle is a two dimensional figure which has four sides and four angles and all the angles are right angles.

So, we have the opposite sides of a rectangle are equal.

Consider a rectangle of coordinate points of vertices as A(0, 0), B(5, 0), C(5, 3) and D(0, 3).

We took a rectangle such that the opposite sides are having equal length.

AB = 5 units, BC = 3 units, CD = 5 units and AD = 3 units.

Distance between two coordinate points (x₁, y₁) and (x₂, y₂) is,

Distance = \(\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}\)

We have to find lengths of AC and BD, which are the diagonals.

AC = \(\sqrt{(5-0)^2+(3-0)^2}\) = \(\sqrt{5^2+3^2}\) = \(\sqrt{34}\) units

BD = \(\sqrt{(0-5)^2+(3-0)^2}\) = \(\sqrt{5^2+3^2}\) = \(\sqrt{34}\) units

So the length of diagonal are equal.

Hence the length of diagonals of a rectangle are congruent.

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Answer:

10 years

Step-by-step explanation:

We are told that One year after you buy a tree, it is 10 feet tall. Thus, it's initial height after 1 year is 10 ft.

Now we are told that each year after you buy the tree, it grows 2 feet. This means that it's height after you bought it was; f(0) = 10 - 2 = 8ft

Thus,

f(1) = 8 + 2 = 10

f(2) = 8 + 2 + 2 = 12

f(3) = 8 + 2 + 2 + 2 = 14

The pattern here is;

f(x) = 8 + 2x

Where x is number of years

Thus, for it to reach a maximum height of 28 ft;

28 = 8 + 2x

Subtract 8 from both sides to give;

28 - 8 = 2x

2x = 20

x = 20/2

x = 10 years

Answer:

47°;47°;113°;113°

Step-by-step explanation:

3x+5=61-x

4x=56

X=14

Answer: 2

Step-by-step explanation:

Answer:

x = a²

Step-by-step explanation:

To undo the square root, you have to square both sides of the equation so it becomes...

(√x )² = a²

That undoes the square soot so it is

x = a²

Answer:

y = -4x + 10

Step-by-step explanation:

I am going to assume you are trying to write the equation of a line.

4x + y = 10

4x - 4x + y = 10 - 4x

y = -4x + 10

The critical heat flux (CHF) is the maximum heat flux that can be transferred from a surface to a boiling liquid before the boiling process transitions from a stable regime to an unstable regime. The CHF is an important parameter in the design of heat transfer systems, as exceeding the CHF can lead to boiling crisis, which can cause severe damage to the system.

The CHF for a fluid depends on various factors such as fluid properties, surface properties, and flow conditions. One of the commonly used correlations for calculating CHF is the Kutateladze number (Ku) correlation, which is given by:

q_c = C (ρ_L^2 g Δh_f)^0.5 (σ/ρ_L)^0.1

where q_c is the critical heat flux, ρ_L is the liquid density, g is the acceleration due to gravity, Δh_f is the latent heat of vaporization, σ is the surface tension, and C is a constant that depends on the surface properties and flow conditions.

Using this correlation, we can calculate the CHF for the given fluids at 1 atm:

For mercury at 1 atm:

Density of mercury, ρ_L = 13,534 kg/m^3

Latent heat of vaporization of mercury, Δh_f = 2.66 x 10^5 J/kg

Surface tension of mercury, σ = 0.48 N/m

Acceleration due to gravity, g = 9.81 m/s^2

Using the Kutateladze number correlation with a constant value of C = 0.028, we get:

q_c = 0.028 * (13,534^2 * 9.81 * 2.66 x 10^5)^0.5 * (0.48/13,534)^0.1

q_c = 2.44 x 10^6 W/m^2

For ethanol at 1 atm:

Density of ethanol, ρ_L = 789 kg/m^3

Latent heat of vaporization of ethanol, Δh_f = 8.51 x 10^5 J/kg

Surface tension of ethanol, σ = 0.022 N/m

Acceleration due to gravity, g = 9.81 m/s^2

Using the Kutateladze number correlation with a constant value of C = 0.027, we get:

q_c = 0.027 * (789^2 * 9.81 * 8.51 x 10^5)^0.5 * (0.022/789)^0.1

q_c = 1.17 x 10^6 W/m^2

For refrigerant R-134a at 1 atm:

Density of R-134a, ρ_L = 1245 kg/m^3

Latent heat of vaporization of R-134a, Δh_f = 2.03 x 10^5 J/kg

Surface tension of R-134a, σ = 0.011 N/m

Acceleration due to gravity, g = 9.81 m/s^2

Using the Kutateladze number correlation with a constant value of C = 0.026, we get:

q_c = 0.026 * (1245^2 * 9.81 * 2.03 x 10^5)^0.5 * (0.011/1245)^0.1

q_c = 1.35 x 10^6 W/m^2

For water at 1 atm:

Density of water, ρ_L = 1000 kg/m^3

Latent heat of vaporization of water, Δh_f = 2

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Answer:

Step-by-step explanation:

3 17/30

Answer:

The 95% confidence interval of the proportion of all adults that have high blood pressure is 0.17059 < \(\hat{p}\) < 0.314695

Step-by-step explanation:

The confidence interval for a proportion is given by the following formula;

\(CI=\hat{p}\pm z\times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\)

Where:

x = 33

n = 136

\(\hat{p}\) = x/n = 33/136 = 0.243

z value for 95% confidence is 1.96

Plugging in the values, we have;

\(CI=0.243\pm 1.96\times \sqrt{\frac{0.243(1-0.243)}{136}}\)

Which gives;

0.17059 < \(\hat{p}\) < 0.314695

Hence the 95% confidence interval of the proportion of all adults that have high blood pressure = 0.17059 < \(\hat{p}\) < 0.314695

From the above we have;

23.2 < x < 42.798

Since we are dealing with people, we round down as follows;

23 < x < 42.

Options B, C and D will satisfy the given inequality by putting the values in the given inequality.

let's first try to understand what are inequalities.

An inequality in algebra is a mathematical statement that employs the inequality symbol to show how two expressions relate to one another. The phrases on either side of an inequality symbol are not equal. The phrase on the left should be larger or smaller than the expression on the right, or vice versa, according to this symbol. Relationships between two algebraic expressions that are represented by inequality symbols are referred to as literal inequalities.

If the symbols ">,"< ">=," "<=,"  are used to connect two real numbers or algebraic expressions, that relationship is referred to as an inequality.

We put Given values in inequality and then see whether inequality is true or not.

Inequality is 3x+y < = 6

first x = 4 y =3

3x+y <= 6

3*4 + 3 <= 6

15 <= 6 this is not true because 15 is greater than 6.

second x = -2 y =4

3x+y <= 6

3*-2 + 4 <= 6

-2 <= 6 this is true because -2 is less than 6.

third x = -5, y =-3

3x+y <= 6

3*-5 + -3 <= 6

-15 <= 6 this is true because -15 is less than 6.

fourth x = 3, y = -3

3x+y <= 6

3*3 - 3 <= 6

6 <= 6 this is true because 6 is equal to  6.

Given Question is incomplete Complete the Question here:

How do you determine ordered pairs are part of the solution set of inequalities ex: #3x+y<=6#

for A(4,3), B(-2,4), C(-5,-3), D(3,-3)?

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There are 190 more birds than expected at the refuge.

The information provided in the question indicates that there are 3 percent more birds than there were previously. The sanctuary houses 175 birds, which may be pictured as follows:

There are 175 birds in all.

According to the inquiry, it is rising by 3%.

Number of birds = (175)(3%) = 5.25 at this point.

As a result, given the data, the anticipated enhanced data is as follows:

Added birds is 175 + 5 + 5 + 5 = 190.

190 more birds are therefore expected in the refuge.

The final computed numbers should be divided by the total value and then multiplied by 100 to obtain the percentage.

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The area of the shaded region is given by\(\( A = \frac{(-1)^n}{4} \)\), where n represents the number of intersections with the x-axis.

To solve the integral and find the area of the shaded region, we'll evaluate the definite integral of \(\( \frac{1}{2} \sin 2\theta \)\) with respect to \(\( \theta \)\) over the given limits of integration.

The integral is:

\(\[ A = \frac{1}{2} \int_{\theta_1}^{\theta_2} \sin 2\theta \, d\theta \]\)

where \(\( \theta_1 = \frac{(2n-1)\pi}{4} \) and \( \theta_2 = \frac{(2n+1)\pi}{4} \)\) for integers n.

Using the double angle identity for sine \((\( \sin 2\theta = 2\sin\theta\cos\theta \))\), we can rewrite the integral as:

\(\[ A = \frac{1}{2} \int_{\theta_1}^{\theta_2} 2\sin\theta\cos\theta \, d\theta \]\)

Now we can proceed to solve the integral:

\(\[ A = \int_{\theta_1}^{\theta_2} \sin\theta\cos\theta \, d\theta \]\)

To simplify further, we'll use the trigonometric identity for the product of sines:

\(\[ \sin\theta\cos\theta = \frac{1}{2}\sin(2\theta) \]\)

Substituting this into the integral, we get:

\(\[ A = \frac{1}{2} \int_{\theta_1}^{\theta_2} \frac{1}{2}\sin(2\theta) \, d\theta \]\)

Simplifying the integral, we have:

\(\[ A = \frac{1}{4} \int_{\theta_1}^{\theta_2} \sin(2\theta) \, d\theta \]\)

Now we can integrate:

\(\[ A = \frac{1}{4} \left[-\frac{1}{2}\cos(2\theta)\right]_{\theta_1}^{\theta_2} \]\)

Evaluating the definite integral, we have:

\(\[ A = \frac{1}{4} \left(-\frac{1}{2}\cos(2\theta_2) + \frac{1}{2}\cos(2\theta_1)\right) \]\)

Plugging in the values of \(\( \theta_1 = \frac{(2n-1)\pi}{4} \) and \( \theta_2 = \frac{(2n+1)\pi}{4} \)\), we get:

\(\[ A = \frac{1}{4} \left(-\frac{1}{2}\cos\left(\frac{(2n+1)\pi}{2}\right) + \frac{1}{2}\cos\left(\frac{(2n-1)\pi}{2}\right)\right) \]\)

Simplifying further, we have:

\(\[ A = \frac{1}{4} \left(-\frac{1}{2}(-1)^{n+1} + \frac{1}{2}(-1)^n\right) \]\)

Finally, simplifying the expression, we get the area of the shaded region as:

\(\[ A = \frac{(-1)^n}{4} \]\)

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The total number of boys enrolled in the course is 170.

Here are 374 children, are there are 5 boys to every 6 girls.

If the ratio of boys to girls is 5 to 6, then 5 out of every 11 students are boys and 6 out of every 11 students are girls.

Set up a proportion for the boys, where b = the total number of boys.

5/11 = b/374

11b = 1870

b = 1870/11

b = 170

There are 170 boys.

The total number of student is 374, so the number of girls, is 374 -b.

There are 374-170= 204 girls.

Finding a proportionality constant would be another algebraic solution to this issue. The total number indicated by the ratio is 5 + 6 or 11, which is equal to the total number of children when multiplied by the proportionality constant.

Let x = the proportionality constant

11x=374

x=34

The number of boys is 5x and the number of girls is 6x.

5x=5×34 =170 boys

6x=6×34 =204 girls.

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Answer:

(See the attachment)

Step-by-step explanation:

None

Answer: Answer below

Step-by-step explanation:

9514 1404 393

Answer:

  D)  No Solutions

Step-by-step explanation:

The lines have the same slope (-4), but different y-intercepts (3, 0), so they are parallel lines. There can be no values of x and y that satisfy both equations.

There are no solutions.

Answer:

9514 1404 393

Answer:

 D)  No Solutions

Step-by-step explanation:

The lines have the same slope (-4), but different y-intercepts (3, 0), so they are parallel lines. There can be no values of x and y that satisfy both equations.

There are no solutions.

Step-by-step explanation:

32

This is the answer...

A value at the center or middle of a data set is a measure of center. It  is a statistical value that represents the central or average value of a dataset.

In statistics, a measure of center refers to a value that represents the central tendency or average of a data set. It provides a single value that summarizes the central or typical value of the data. The measure of center is used to understand the central position or location of the data points.

Common measures of center include the mean, median, and mode. The mean is calculated by summing all the values in the data set and dividing by the total number of values. The median is the middle value of a sorted data set, or the average of the two middle values if there is an even number of values. The mode represents the value that occurs most frequently in the data set.

These measures of center help in understanding the central tendency of the data and provide a representative value around which the data points are distributed. They are useful for summarizing and analyzing data sets, allowing for comparisons and making inferences about the data.

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Answer:

#1) x=38

#2) x=12

Step-by-step explanation:

For (1)

Since its a triangle we know that all 3 interior angles added up is gonna eqaul 180 degrees. So we already have 2 angles which are 21 and 17. You add those up and you’d get 38. Now since the final angles is unknown we can just make a simple equation of 38+x=180 since we know 2 angles and we need 1 more and a triangle is 180 degrees alli ddded up together. You’d get 142 for that angle. X is adjacent to that angle and they form a straight line so it also has to be 180. We got 1 side and so we subtract 180-142= 38. X will be 38.

For (2)

Since its 2 parallel lines cut by a transversal and we have two same side interior angles we know its gonna be supplementary Which means that both those angles added up will be 180. Now we have the two different angles so we add them up and solve for x. (10x+17)+(3x+7)= 180. Commbine like terms which will turn out to be 13x+24=180. Subtract 24 on both sides. 13x= 156. Solve for x by diving 13 on both sides which will lead to x= 12

Answer:

C

Step-by-step explanation:

\(-15x+60\leq 105 \\ \\ -15x \leq 45 \\ \\ x \geq -3\)

\(14x+11 \leq -31 \\ \\ 14x \leq -42 \\ \\ x \leq -3\)

The intersection is x = 3.

Answer:

Communitive Property

Step-by-step explanation:

a * b = b * a

In your case,

(-a / b) * (-c / d) = (-c / d) * (-a / b)

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Answer:

Answer:

Communitive Property

Step-by-step explanation:

a * b = b * a

In your case,

(-a / b) * (-c / d) = (-c / d) * (-a / b)

Step-by-step explanation:

First, remember these two affirmations:

Two parallel lines have the same slope

Two perpendicular lines have the inverse slope, the slope of each one is multiplied by -1

So

We can see in the second option that equation one has the same slope that equation two except that the equation is multiplied by -1. So there are 2 perpendicular lines

In the third option, we can see the same slope in the two functions so is parallel

Finally, the first option doesn't have any relationship.

Answer:

The coordinates of k are (-2,-1)

Step-by-step explanation:

Here, we are interested in calculating the coordinates of point k.

Mathematically, we will use the internal division formula for this;

This would be;

(x,y) =( nx1 + mx2)/(m + n), (ny1 + my2)/(m + n)

where m = 1 , n = 4

x1 = -2 , x2 = 8

y1 = -4 , y2 = 11

we now make the substitutions into the formula;

(x,y) = 4(-2) + 1(-2)/(1+4) , 4(-4) + 1(11)/(4 + 1)

(x,y) = (-8-2)/5 , (-16 + 11)/5

(x,y) = -10/5 , -5/5

(x,y) = (-2, -1)

Answer:

Step-by-step explanation:

2(x+y)=32  means :

x+y =16