10x -9 = -2x - 69

solve for x

Answer:

Step-by-step explanation:

The equation of a parabola in its vertex form is expressed as y = a(x-h)²+k where (h, k) is the vertex.

Given the equation of a parabola as y-2=1/12(x+10) , we are to write the equation in its vertex form first as shown;

y-2=1/12(x+10)

Adding 2 to both sides of the equation

y=1/12(x+10) +2

y = 1/12x+10/12+2

y = x/12+5/6+2

y = x/12+17/2

comparing the equation above with the quadratic equation y = ax²+bx+c

a = 0, b = 1/12, c = 17/2

The x coordinate of the vertex x = - b/2a

x = - 1/12/2(0)

x = - 1/12(0)

x =-  1/0

x = - \(\infty\)

Substitutind x = \(\infty\) into the y function, y =- \(\infty\)/12+17/2

y = - \(\infty\)

The coordinate of the vertex is (\(-\infty, -\infty\))

Answer:

\((x+8)^{2}\) =77

x= -8 +/- \(\sqrt\\ 77\)

From Khan Academy

The number of simple events in this experiment is 16.

The correct answer to the given question is option c.

The probability of an event can be calculated by dividing the number of favorable outcomes by the number of possible outcomes. A simple event is one in which only one of the outcomes can occur. For example, if a coin is tossed, a simple event would be the outcome of the coin being heads or tails.

The total number of possible outcomes in the experiment of tossing 4 unbiased coins simultaneously is 2⁴, since there are two possible outcomes for each coin. Thus, the total number of possible outcomes is 16.

Each coin has two possible outcomes: heads or tails. If all four coins are flipped, there are two possible outcomes for the first coin, two possible outcomes for the second coin, two possible outcomes for the third coin, and two possible outcomes for the fourth coin. Therefore, the total number of possible outcomes is 2 × 2 × 2 × 2 = 16.

Therefore, the number of simple events in this experiment is 16, which is option (c).

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Answer:

(6, 1)

Step-by-step explanation:

We are given the equation for (y), [y=x-5]

So we can implement that in all the places the (y) are in the other equation.

x+3(x-5)=9

x+3x-15=9

add 15 to each side

4x=24

Divide each side by 4

x=6

Now we can apply our (x) into one of the equations.

y=(6)-5

y=1

So our solution is (6, 1)

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

Option a. calculate a correlation coefficient is the right response because a correlation coefficient measures the strength and direction of the relationship between two interval level variables.

This is because a correlation coefficient measures the strength and direction of the relationship between two interval level variables. It provides a numerical value that ranges from -1 to 1, where -1 indicates a strong negative correlation, 0 indicates no correlation, and 1 indicates a strong positive correlation.

A scatter plot is also useful in visualizing the relationship between two variables, but it does not provide a numerical value like the correlation coefficient. A test of significance and variance calculation are not typically used as first steps in assessing the relationship between two variables.

Hence, option a. calculate a correlation coefficient is the correct answer.

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Answer:

rational number is the number that can change to fraction but irrational number can't

Answer:

Terri’s speed can be calculated like this:

her speed- \(\frac{6km}{0.25h}\)=24km/h

Step-by-step explanation:

The term that describes the distribution of the given graph is "skewed left."

Based on the given dot plot, the distribution of the graph can be described as skewed left.

A skewed left distribution, also known as a negatively skewed distribution, is characterized by a longer tail on the left side of the graph.

In this case, the values 1, 1, 1, 2, and 3 are clustered on the left side, indicating a concentration of lower values.

The distribution gradually becomes less dense as the values increase.

The term "skewed left" accurately describes the shape of the graph in this dot plot.

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Answer:

the exact form is 3/8

in a decimal it's 0.375

Step-by-step explanation:

Answer:

total cost of the hotels is 2,296

Answer:

d=t10

Step-by-step explanation:

Yes, there is convincing evidence at the 0.01 level that more than 20% of all adults can describe where the humerus bone is located.

To determine if there is convincing evidence, we can conduct a hypothesis test. Let's set up the null and alternative hypotheses. The null hypothesis (H0) is that the proportion of adults who can describe where the humerus bone is located is 20%, while the alternative hypothesis (Ha) is that the proportion is greater than 20%. We can use a one-sample proportion test to analyze the data. Given that the sample size is 100 and the observed proportion is 30.0%, we can calculate the test statistic and compare it to the critical value at the 0.01 significance level. Performing the test, if the calculated test statistic falls in the rejection region (beyond the critical value), we reject the null hypothesis. In this case, since the observed proportion is higher than 20% and the test statistic exceeds the critical value, there is convincing evidence to support the alternative hypothesis that more than 20% of all adults can describe where the humerus bone is located.

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Answer:

135

Step-by-step explanation:

if you think about it al cicle = 360 so its 360- 225= 135

To determine the exact concentration of the solution made, one can divide the mass of the solute with the volume of the solution.

A solution is the substance formed by the mixture of solute in solvent. The solute may or may not be dissolved in the solution. One can determine the exact concentration of the solution if the mass of solute added in the specific volume of solution is known. If the solution is made by someone else, then its concentration can be determined by process of titration.

The concentration of a solution is expressed in the form of moles or grams per unit liter. If the solution is unknown and only its dissolved chemical is known, then titration will help in determining the closest value of concentration if performed without human error. In titration, the use of glassware that that is more precise than the flasks, beakers, and graduated cylinders are used.

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Refer to complete question below:

How do we determine concentration a solution? If it is a solution that we have made up, we can readily do the calculations required. But what if it is a solution that someone else has made? What technique can be used to gather information about a solution that we are given with no other information than the name of the chemical dissolved.

Answer:

13 < x < 21.

Step-by-step explanation:

First the third side (x) must be less than 4 + 17 , that is  < 21.

Also 17 cannot  be greater than  4 + x:

17 < 4 + x

x > 13.

To find the measure of each angle in Megan's triangle, we can use the fact that the sum of the measures of the angles in any triangle is 180 degrees. We can set up the equation:

\(m∠A + m∠B + m∠C = 180\)

Substituting the given values for m∠B and m∠C, we get:

\(x + 4x + (5x - 30) = 180\)

Simplifying the equation, we get:

\(10x - 30 = 180\)

Adding 30 to both sides, we get:

\(10x = 210\)

Dividing by 10, we get:

\(x = 21\)

Therefore, m∠A = x = 21 degrees, m∠B = 4x = 84 degrees, and m∠C = 5x - 30 = 75 degrees. The measure of each angle in Megan's triangle is: m∠A = 21 degrees, m∠B = 84 degrees, and m∠C = 75 degrees.

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Answer:

m∠A = ✔ 21 °

m∠B = ✔ 84 °

m∠C = ✔ 75 °

Step-by-step explanation:

I did it on edge

sorry bro i let my brother try to solve random problems on here

Answer:

\(x=-6,\: x=1\)

Step-by-step explanation:

\((x+2)(x+3)=12\\\\x^2+5x+6=12\\\\x^2+5x-6=0\\\\(x+6)(x-1)=0\\\\x=-6,\: x=1\)

Answer:

The circumference is 25.12m.

Step-by-step explanation:

To get the circumference, you need the radius.

Radius is half the diameter. So 16/2=8.

8 is the radius, now multiply it by 3.14. (Pi)

Then the finale results are 25.12m.

The circumference is 25.12m.

Hope this was helpful, have a great day.

Answer:

50.24m

Step-by-step explanation:

The formula that you have to find the circumference is.

C = π d

Here,

C = circumference

d = diameter

Let us find now.

C = π d

C = π × 16

C = 3.14 × 16

C = 50.24 m

Hope this helps you :-)

Let me know if you have any other questions :-)

The inner product of two vectors A = (2, -3,0) and B = (-1,0,5) is -2 / √(13×26).

Solving the given system of equations using Gaussian elimination:

2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13

Matrix form of the system is

[A] = [B] 2 3 1 | 2 0 5 | 20 -1 2 3 | 13

Divide row 1 by 2 and replace row 1 by the new row 1: 1 3/2 1/2 | 1

Divide row 2 by 5 and replace row 2 by the new row 2: 0 1 1 | 4

Divide row 3 by -1 and replace row 3 by the new row 3: 0 0 1 | 5

Back substitution, replace z = 5 into second equation to solve for y, y + 5(5) = 20 y = -5

Back substitution, replace z = 5 and y = -5 into the first equation to solve for x, 2x + 3(-5) + 5 = 2 2x - 15 + 5 = 2 2x = 12 x = 6

The solution is (x,y,z) = (6,-5,5)

Therefore, the solution to the given system of equations using Gaussian elimination is (x,y,z) = (6,-5,5).

The given two vectors are A = (2, -3,0) and B = = (-1,0,5). The inner product of two vectors A and B is given by

A·B = |A||B|cosθ

Given,A = (2, -3,0) and B = (-1,0,5)

Magnitude of A is |A| = √(2²+(-3)²+0²) = √13

Magnitude of B is |B| = √((-1)²+0²+5²) = √26

Dot product of A and B is A·B = 2(-1) + (-3)(0) + 0(5) = -2

Cosine of the angle between A and B is

cosθ = A·B / (|A||B|)

cosθ = -2 / (√13×√26)

cosθ = -2 / √(13×26)

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If the dead space tidal volume ratio is 0.65 and the tidal volume is 700, the dead space volume would be 455 mL. Dead space volume is calculated by multiplying the tidal volume by the dead space tidal volume ratio.

The dead space tidal volume ratio represents the proportion of the tidal volume that does not participate in gas exchange. To calculate the dead space volume, we multiply the tidal volume by the dead space tidal volume ratio.

Given that the dead space tidal volume ratio is 0.65 and the tidal volume is 700 mL, we can calculate the dead space volume as follows:

Dead space volume = Tidal volume * Dead space tidal volume ratio

Dead space volume = 700 mL * 0.65

Dead space volume = 455 mL

Therefore, the dead space volume would be 455 mL. This means that out of the total tidal volume of 700 mL, 455 mL does not participate in gas exchange and represents the dead space volume.

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Answer:

9 dollars

Step-by-step explanation:

if bella pays 7 dollars 5 times she pays a total of 35 dollars is she recives 26 dollars back 35-26=9

The sum of the three numbers 7531, 5252 and 6375 is 19158

The numbers are given as

7531, 5252, 6375

Express the numbers as a summation expression

So, we have

Sum = 7531 + 5252 + 6375

Evaluate the sum

So, we have

Sum = 19158

Hence, the sum of the three numbers 7531, 5252 and 6375 is 19158

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The steps in the correct order to solve the equation: \(3\times 2^{(2t-5)} - 4 = 10\) is given below and the solution to given equation is t = 3.625

Consider given equation: \(3\times 2^{(2t-5)} - 4 = 10\)

We arrange the given steps in correct order to solve given equation.

Step 1:

Add 4 to each side of the equation.

⇒ \(3\times 2^{(2t - 5)} = 14\)

Step 2:

Divide each side of equation by 3

⇒ \(2^{(2t - 5)} =\frac{14}{3}\)

Step 3:

Take the log of each side of equation.

\(log 2^{(2t-5)} = log(\frac{14}{3})\)

Step 4:

use the exponential property and write (14/3) in decimal form:

⇒ (2t - 5) log(2) = log(4.67)

Step 5:

Divide each side by log 2

⇒ 2t - 5 = log(4.67) / log(2)

Step 6:

Find the value of log(4.67) / log(2) and substitute  

⇒ 2t - 5 = 2.23

Step 7:

Add 5 to each side of the equation

⇒ 2t = 2.23 + 5

Step 8:

Simplify

t = 3.625

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We will have the following:

We will determine the decrease after 9 minutes as follows:

Here each unit in the exponent represent each half life period.

So, after 9 minutes (3 sets of the half life) there wil be 12 grams of it.

The point estimate of the difference in the population mean exercised between underclassmen and upperclassmen is 0.16.


To find the point estimate of the difference in the population mean exercised between underclassmen and upperclassmen, you need to subtract the sample mean of underclassmen from the sample mean of upperclassmen.

Sample mean of upperclassmen = 0.76
Sample mean of underclassmen = 0.60

Point estimate = Sample mean of upperclassmen - Sample mean of underclassmen
Point estimate = 0.76 - 0.60
Point estimate = 0.16


The point estimate of the difference in the population mean exercised between underclassmen and upperclassmen is 0.16, which indicates that on average, upperclassmen exercised 0.16 hours more than underclassmen in the past 24 hours.

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The volume of the oblique rectangular prism is 216 m³.

How to calculate the volume of an oblique rectangular prism?

The volume of an oblique rectangular prism is given by the formula:

V = l * w * h

Where l  and w are the length and width of the base respectively, and h is the perpendicular distance between the bases

In this case, l = 7.5 m and w = 4.5 m

Using trig. ratio:

tan 65 = h/3

h = 3 * tan 65

h = 6.4 m

Thus,

V = 7.5 * 4.5 * 6.4

V = 216 m³

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Answer:

\(745.45 mm^{2}\)

Step-by-step explanation:

(semicircle) A1 = 245.45 mm

(rectangle) A2 = 312.5 mm

(triangle) A3 = 187.5 mm

Formula for semicircle = \(A = \frac{1}{2} \pi r^{2}\)

\(\frac{1}{2}\pi 12.5^{2} = 78.13\pi = 245.45 mm\)

Formula for rectangle = \(A = lw\)

\(25 x 12.5 = 312.5 mm\)

Formula for triangle = \(A = \frac{1}{2} bh\)

\(\frac{1}{2} 30(12.5) = 187.50mm\)

Now we add them all up to get our answer

\(245.45 + 312.5 + 187.5 =745.45mm^{2}\)

The area of the composite figure is 741.31 mm².

The area of any object is given by the space covered by it.

Given is a composite figure having shapes, a semicircle, a triangle and rectangle,

We need to find the area of the composite figure,

So, to find the same we will find the areas of the figure and then add them,

So,

Area of a semicircle = π × radius² / 2
= 3.14 × 12.5² / 2

= 245.31 mm²

Area of a triangle = 1/2 × base × height

= 1/2 × 12.5 × 30

= 187.5 mm²

Area of a rectangle = length × width

= 12.5 × 25

= 312.5 mm²

Now, the whole area = 245.31 + 187.5 + 312.5 = 741.31 mm²

Hence the area of the composite figure is 741.31 mm².

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Answer:

72

Step-by-step explanation:

20*3= 60

24*3= 72

So 20 times what equals 60 it’s 3 so multiply it by 3.

Answer:

k=-13

Step-by-step explanation:

-2 = k+7/3

Multiply 3 to both sides.

-2 = k+7/3

-6=k+7

Subtract 7 from both sides.

-13=k

k equal -13.

Hope this helps!

Please mark as brainliest if correct!

Answer:

Step-by-step explanation:

−2=k+7/3

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

k+7/3=−2

k+7/3−7/3    =   −2−7/3

k=    −13/3