Points A, B, and C are collinear. Point B is between A and C. Solve for x
AB= 3x, BC= 2x - 2 , and AC= 18. Find x.

Answers

Answer 1

Answer:

x=4

Step-by-step explanation:

You set the equation up like this

3x+2x-2=18

5x-2=18

5x=20

x=4


Related Questions

There are 5 Thursdays and 4 Saturdays in the month of February in a year. Find the date of the first Monday of the month of march of that year?

Answers

Answer:

March 4

Step-by-step explanation:

The fifth Thursday must happen 4 weeks after the first one. That means that the 5th Thursday is 28 days after the first one.

Feb 1 + 28 days = Feb 29

Feb 1, Thursday

Feb 8, Thursday

Feb 15, Thursday

Feb 22, Thursday

Feb 29, Thursday

Mar 1, Friday

Mar 2, Saturday

Mar 3, Sunday

Mar 4, Monday

Answer: March 4

15. The table below shows the population of California from 2010 to 2019.YearPopulation (millions)201037.32011 37.6201238.0201338.3201438.6201538.9201639.2201739.4201839.5201939.5(a) Use a graphing calculator to build a logistic regression model that best fits this data, letting t=0 in 2010. Round each coefficient to two decimal places.Pt= (b) What does this model predict that the population of California will be in 2025? Round your answer to one decimal place. million people(c) When does this model predict that California's population will reach 40 million? Give your answer as a calendar year (ex: 2010).During the year

Answers

Using a graphing calculator, we obtain the following regression model.

Thus, the regression model is:

\(\begin{gathered} P(t)=0.261212t+37.4545 \\ P(t)=0.26t+37.45 \end{gathered}\)

For part b, find the value of x by subtracting 2025 by 2010. Thus, the value of t is 15. Substitute 15 for t in the obtained equation in part a and then solve for P(t).

\(\begin{gathered} P(t)=0.26t+37.45 \\ =0.26(15)+37.45 \\ =3.9+37.45 \\ =41.35 \end{gathered}\)

Thus, there is approximately 41.4 million people on 2025.

For part c, substitute 40 for P(t) in the obtained equation in part a and then solve for t.

\(\begin{gathered} P(t)=0.26t+37.45 \\ 40=0.26t+37.45 \\ 40-37.45=0.26t \\ 2.55=0.26t \\ t=\frac{2.55}{0.26} \\ t\approx9.807692308 \\ t\approx10 \end{gathered}\)

Add the obtained value of t to 2010. Thus, the population will reach 40 million in 2020.

15. The table below shows the population of California from 2010 to 2019.YearPopulation (millions)201037.32011

Using f(x) = 8x + 5 and g(x) = 7x - 2, find:g(f(6))

Answers

Answer:

369

Step-by-step explanation:

g(f(x)) simply means to put the whole expression of function f(x) into the place of "x" in g(x).

and to find the functional value for a specific x we just need to calculate functional value for f(x) and use that result as input for g(x).

f(6) = 8×6 + 5 = 48 + 5 = 53

and now

g(53) = 7×53 - 2 = 371 - 2 = 369

to check we do the general functional substitution :

g(f(x)) = 7×(8x+5) - 2 = 56x + 35 - 2 = 56x + 33

g(f(6)) = 56×6 + 33 = 336 + 33 = 369

correct

HELPPP!!
SIMPLIFY!!!
5x²-7y+3x²-8y​

Answers

Answer:

8

x

2

15

y

Step-by-step explanation:

Hope that helps

I need this asap 25 points

I need this asap 25 points

Answers

number 8 (i think) is d, 1 in 1,500, and number 9 is c, 1,513 cars :)

solve x+8=3x wefsdf eferc4frtvtgervgbeg4t

Answers

Answer:

x = 4

Step-by-step explanation:

x + 8 = 3x

8 = 2x

x = 4

So, the answer is x = 4

Move constant and variable

X - 3x = -8

Collect terms

-2x= -8


Solution:


X= 4

Which two expressions are
equivalent?
A 8 Divided by 3 and 3/8

B 4 divided by 1 and 1/4

C 6 divided by 7 and 6/7

D 9 divided by 2 and 2/9

Which two expressions areequivalent?A 8 Divided by 3 and 3/8B 4 divided by 1 and 1/4C 6 divided by 7

Answers

Answer:

The two expressions that are equivalent are:

B) 4 divided by 1 and 1/4,

D) 9 divided by 2 and 4/9

Answer: i believe its c

Step-by-step explanation: a division symbol and a fractions bar can mean the same thing.

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Subtract. Write your answer in simplest form. 3 11/12 - 1 4/12=​

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction

Answers

Answer:

Chucky but right now I'm in class so I actually get back to you with this but if I were you what you would do is first you would add your two whole numbers and then you add you top number and then when you add your two whole number you put for and the box that is much beside can you put on then after that you put five in the top box and 12 on the bottom box if I were you that's not with you but since you're subtracting you keep your denominator you subtract 3 from 1 which is 2 and then you subtract 11 from 4 which is 7 and then you would get to and 2 and 7/12 that's your answer

Answer:

2 7/12

Step-by-step explanation:

radius= 4cm. find the area and diameter of the circle​

Answers

given:

radius= 4 cm

to find:

the area and the diameter of the circle.

solution:diameter:

\(d = 2r\)

\(d = 2 \times 4\)

\(d = 8 \: cm\)

therefore, the diameter of the circle is 8 centimeters.

area:

\(a = \pi {r}^{2} \)

\(a = \pi \times {4}^{2} \)

\(a = 50.26548 \: {cm}^{2} \)

\(a = 50.27 \: {cm}^{2} \)

hence, the area of the circle is 50.27 square centimeters.

Given:Radius= 4 centimeters Diameter of the circle:

\(diameter = 2r\)

\(d = 2 \times 4\)

\(d = 8 \: cm\)

Area of the circle:

\(area = \pi {r}^{2} \)

\(a = \pi \times {4}^{2} \)

\(a = 50.26548 \: {cm}^{2} \)

\(a = 50.27 \: {cm}^{2} \: (2 \: d.p)\)

You begin solving the equation 4−5=59 4 - 5 x = 59 by subtracting 4 4 from both sides. Which is the best choice for Step 2 2 ?

Answers

Answer:

4 – 5x = 59, x = -11

Step-by-step explanation:

The given equations is :

4 – 5x = 59

Subtracting 4 both sides,

4 – 5x -4 = 59-4

-5x = 55

Dividing both sides by -5.

x = -11

So, the answer of the given equation is -11.

Write an equation in slope-intercept form of the line that passes through the points (-5,-12) and 2,9) .

The equation is y=

Answers

Answer:

y=3x+3

Step-by-step explanation:

Write the slope-intercept form of the equation of each line

Write the slope-intercept form of the equation of each line

Answers

Answer: b

Step-by-step explanation:

I think it’s letter D

Find the sum or type
"impossible”
[1 -2 1] + [4 -5 -6] ]
[[?]
[ ]]

Answers

Answer:

27

Step-by-step explanation:

looked on photomath

The equation for Constant of Proportionality is y = kx? If you solved for the letter k instead of y, would the correct equation. be y/x = k? YES or NO

Answers

I don’t think it would work it you solved for k instead of y. Because you’re solving for y when you do constant of proportionality. i’m not sure if i’m right or not but that’s what i think.

If you could help me with any of these questions that would make me very happy : )

If you could help me with any of these questions that would make me very happy : )
If you could help me with any of these questions that would make me very happy : )

Answers

Answer:

Step-by-step explanation: The first one would be -40 X 30. The parentheses around -25 turns it into a positive. And 5 make you round up

For 2, the -18 turns into a positive 18 bc of the parentheses. So round up to 20. Round 38 up to 40. 20 x 40

For 3, the negative 16 turns positive, making the equation -21 x 9 x 16. Round them to -20, 10, and 20. The equation is -20 x 10 x 20. Hope this helps!

Time Miles Load Speed Oil

7.9 42.8 19 46 15

0.9 98.5 25 46 29

8.5 43.4 21 64 14

1.3 110.7 27 60 26

1.4 102.3 28 51 17


Required:

Estimate the time until the first engine overhaul as a function of all four predictor variables.

Answers

We have a dataset of 5 different engines, each with data on five parameters: Time, Miles, Load, Speed, and Oil. To estimate the time until the first engine overhaul as a function of all four predictor variables, we can use a regression model. To do this, we first create a scatter plot matrix of all possible combinations of features. However, since we only have 5 data points, we cannot say that our model is highly reliable.

It appears that the Time feature is somewhat linearly dependent on the Load feature, so we can use this relationship for the linear regression model:

Time = a*Load + b

We have a scatter plot matrix that we can use to make predictions based on a model, but we should bear in mind that the results may be unreliable due to the limited dataset. To fit a linear regression model to this dataset, we will use the sklearn library in Python. A code snippet is provided for this purpose, in which we import the necessary libraries and load the data into a pandas DataFrame. We then select the "Load" feature as the predictor variable (X) and the "Time" feature as the response variable (y). The linear regression model is then fitted to the data using the LinearRegression() function. The coefficients and intercept of the model are printed as output, which are 0.35 and 1.6019230769230759, respectively.

The slope of 0.35 is not very large, but we can still use it to make predictions for a given value of the "Load" feature. For instance, if we have a load of 23, we can substitute this value in the above model and predict the time for the engine to run before its first overhaul.

Thus, we can predict that the engine will run for 9.25 years until the first engine overhaul, as per the formula:

Time = 0.35*23 + 1.6 = 9.25.

Know more about linear regression model here:

https://brainly.com/question/30470285

#SPJ11

Plz help I will mark you brainlist plz ​

Plz help I will mark you brainlist plz

Answers

Answer:

a = -1

Step-by-step explanation:

6a + 5a = -11

We can combine 6a + 5a because they are like terms

11a = -11

divide by 11 on both sides

a = -1

In the equation shown, what is the value of n?
9^7/9^n=9^2

PLEASE HELP

Answers

Answer:

n=5

Step-by-step explanation:

All of the bases are 9 so you can set the exponents equal to each other.

Exponents in a fraction mean subtraction so 7-n = 2

-n=-5

n=5

a researcher is interested in the relationship between happiness and gpa of high school students. after surveying 50 students, he determines that there is a correlation between these two variables of .90. this is considered a: group of answer choices strong negative linear correlation strong positive linear correlation weak negative linear correlation weak positive linear correlation

Answers

The correlation coefficient of 0.90 indicates a strong positive linear correlation between happiness and GPA of high school students.

A correlation coefficient measures the strength and direction of the relationship between two variables. In this case, the correlation coefficient of 0.90 indicates a strong positive linear correlation between happiness and GPA of high school students.

A positive correlation means that as one variable (in this case, happiness) increases, the other variable (GPA) also tends to increase. The magnitude of the correlation coefficient, which ranges from -1 to 1, represents the strength of the relationship. A value of 0.90 indicates a very strong positive linear correlation, suggesting that there is a consistent and significant relationship between happiness and GPA.

This means that as the level of happiness increases among high school students, their GPA tends to be higher as well. The correlation coefficient of 0.90 suggests a high degree of predictability in the relationship between these two variables.

It is important to note that correlation does not imply causation. While a strong positive correlation indicates a relationship between happiness and GPA, it does not necessarily mean that one variable causes the other. Other factors or variables may also influence the relationship between happiness and GPA.

Learn more about: Coefficient

brainly.com/question/1594145

#SPJ11

For a standard normal distribution, a negative value of z indicates _____.

Answers

For a standard normal distribution, a negative value of z indicates that the observed value is below the mean of the distribution.

In a standard normal distribution, which has a mean of 0 and a standard deviation of 1, a negative value of z indicates that the observed value is located below the mean. The z-score represents the number of standard deviations a data point is away from the mean.

A negative z-score means that the observed value is lower than the mean, indicating that it falls to the left of the center of the distribution. This means that the data point is relatively lower compared to the average and can provide information about its position within the distribution and its deviation from the mean.

To know more about negative , refer here:

https://brainly.com/question/29250011#

#SPJ11

a youth soccer coach much choose 4 of his 8 players to go into a game. in how many ways can this be done?

Answers

1 just subtract 4-8 and you’ll get 4

True or false, if y=7, then 5+27 < 20

Answers

false (take a look at the screenshot below)
True or false, if y=7, then 5+27 &lt; 20

A.)53
B.)37
C.)10
D.)21

A.)53B.)37C.)10D.)21

Answers

Answer:

Hello! answer: x = 10

Step-by-step explanation:

10 × 5 = 50 50 + 3 = 53

10 × 3 = 30 30 + 7 = 37

53 + 37 = 80 therefore x = 10 hope that helps!

abc = 53

Answer:

Option A

Step-by-step explanation:

Hey there!

From the given figure;

Angle ABE = 90°.

And angle ABD = [(5x+3)° +(3x+7)°]

To find : angle ABC.

Now,

Angle ABD + Angle ABE = 180° [Being linear pair].

or, 90° + [(5x+3)° +(3x+7)°]= 180°

or, (5x+3)° +(3x+7)°= 90°

or, 8x + 10° = 90°

or, 8x = 80°

Therefore, X= 10°.

Now, Angle ABC = (5x + 3)°

= (5*10+3)°

= 53°

Therefore, the measure of angle ABC is 53°.

Hope it helps!

What is the inverse of function ??
f(x) = 64x³ - 1

Answers

Answer:

The inverse of the function f(x) = 64x³ - 1 is \(\frac{\sqrt[3]{x+1}}{4}\)

Step-by-step explanation:

First replace x with y.

\(x=64y^3-1\)

Then solve for y.

\(y^3=\frac{x+1}{64}\)

Cube root both sides.

\(y=\frac{\sqrt[3]{x+1}}{4}\)

Hence, the inverse is \(\frac{\sqrt[3]{x+1}}{4}\)

What is the factored form of x2 + 2xy − 8y2?

Answers

Answer:

(x+2y)(x−4y)

hope this helps!

Two interior angles of a triangle each measure 34 degrees.What is the measure of the third interior triangle?

Answers

In a triangle with two interior angles that are both 34 degrees, the third interior angle is 112 degrees.

The measure of the third interior angle of a triangle can be found by subtracting the sum of the two given angles from 180 degrees.

In this case, if two interior angles of a triangle each measure 34 degrees, the measure of the third interior angle can be calculated as follows:

Finding the sum of the two given angles.

34 + 34 = 68 degrees

Subtracting the sum from 180 degrees.

180 - 68 = 112 degrees

Therefore, the measure of the third interior angle of the triangle is 112 degrees.

In conclusion, the third interior angle of a triangle has a measure of 112 degrees when the first two interior angles of the triangle each measure 34 degrees.

This can be determined by subtracting the sum of the given angles from 180 degrees, as the sum of the interior angles of a triangle is always 180 degrees.

Learn more about interior angles here:

https://brainly.com/question/14611583

#SPJ11

Can I get some help with this please?

Can I get some help with this please?

Answers

Answer:

c =2.5

Step-by-step explanation

1.5×1.5=2.25

2×2=4

4+2.25=6.25

√6.25=2.5

c=2.5

I'm confused about this, can someone answer?

I'm confused about this, can someone answer?

Answers

Step-by-step explanation:

Question 1)

Perimeter = Sum of all sides

\(\longrightarrow\) 11 + 5 + 10 + 2

\(\longrightarrow\) 16 + 12

\(\longrightarrow\) 28 cm

Question 2)

Area of Rectangule = Length × Breadth

\(\longrightarrow\) 2 × 5

\(\longrightarrow\) 10 in²

Question 3)

Volume of cube = (Side)³

\(\longrightarrow\) (1)³

\(\longrightarrow\) 1 ft³

Question 4)

Perimeter = Sum of sides

\(\longrightarrow\) 4 + 5 + 5

\(\longrightarrow\) 14 cm

Question 5)

Area of triangle = 1/2 × Height × Base

\(\longrightarrow\) 1/2 × 5 × 8

\(\longrightarrow\) 5 × 4

\(\longrightarrow\) 20 mm²

how to do this question plz ​

how to do this question plz

Answers

Answer:

48.

Step-by-step explanation:

\(\frac{24\sqrt{72} }{3\sqrt{2} }\)

= (24 / 3) * \(\frac{\sqrt{72}} {\sqrt{2} }\)

= 8 * \(\frac{\sqrt{72} * \sqrt{2}} {\sqrt{2} * \sqrt{2} }\)

= 8 * \(\frac{\sqrt{144}} {2}\)

= 8 * (12 / 2)

= 8 * 6

= 48.

Hope this helps!

80MNP14. Suppose O is the midpoint of MQ and N is the midpoint of Mo. If NO = 8, find MQ.

80MNP14. Suppose O is the midpoint of MQ and N is the midpoint of Mo. If NO = 8, find MQ.

Answers

MN+NO=MO

Where N is the midpoint of MO

Therefore:

MN = NO

MN = 8

NO = 8

8 + 8 = MO

MO = 16

Now:

MO + OQ = MQ

If O is the midpoint of MQ:

MO = OQ

OQ = 16

Therefore:

MQ = 16 + 16 = 32

Other Questions
How are mass extinctions different from normal extinctions in the fossil record? How does the story of the prince in paragraph 6 contribute to the development of ideas inthe passage?A. The story supports Thoreau's idea that one can see the "reality of things whenone looks past superficial circumstances.B. The story supports Thoreau's argument that superficial titles are justdistractions and have nothing to do with who a person really is.C. Thoreau praises the story because the prince's childhood of living in the forestshows how going to the woods in order to "live deliberately" can be beneficial.D. Thoreau uses the story to argue that what one thinks to be the truth can actuallybe false, and so there is no such thing as "reality." Please help-What are the lengths of EF and FG to the nearest tenth What is the sum of -9 and -18? Natural selection Group of answer choices was first conceived of by Gregor Mendel is a source of variation is progressive in nature refers to the selection of desired traits by animal breeders none of the above Help math exit ticket answer plzzzzzz Jupiter Ltd. has a callable butstanding bond issue with a face value of $7,000,000, which was issued 5 years ago flotation cost 3% of the face value. The bond has 8 years remaining to the maturity date and a coupon rate of 11% id annually. The call premium of the old bonds is 48% of the annual coupon rate. Interest rates at the time of the issue were considerably higher than they are now and the company would now e to refinance the bonds. The new bonds of 8 -year maturity could be issued at a coupon rate of 8% paid annually. le call premium of the new bonds is 60% of the annual coupon rate. The flotation costs associated with the new ind issue are 4% of the face value. The new bonds would be issued 1 month before the old bonds could be called. Firm's corporate tax rate is 30%. he current T-Bill rate is 4% and the equity risk premium is 5%. Note: All cash flows should be with the respective sign: outflows - with minus, inflows - without a sign, meaning implied plus sign. a. What is the annual after-tax cost of debt? % Kound your answer to two decimals b. What are the incremental after-tax interest savings from the refinancing? Truund your answer to the nearest dollar. c. What is the value nf tha call premium to be paid? Round your answer to two decimals. b. What are the incremental after-tax interest savings from the refinancing? $ Round your answer to the nearest dollar. c. What is the value of the call premium to be paid? Round your answer to the nearest dollar. d. What is the net flotation cost? Found your answer to the nearest dollar. e. What is net additional interest expense during the overlap period.? Ruund your answer to the nearest dollar. f. What is the NPV of rofi. ding? 3. a playground slide is in the form of an arc of a circle with a maximum height of 2.5 m, with a radius of 8.8 m, and with the ground tangent to the circle. a 16 kg toddler starts from rest at the top of the slide and has a speed of 3.4 m/s at the bottom. a. what is the length of the slide? b. what average frictional force acts on the toddler over this distance? What is an action of the highlighted muscle? ASAP plz help due today so please answer 50 POINTS!!!Find an editorial in one of the newspapers you read.Document your source properly, using MLA format and a write a brief summary of the discussion.With what kind of subject matter does it deal?What is the editor's position on the subject?Does the editor support his position with facts?Does the editor attempt to appeal to his readers' emotions? How? pls help 100 point i dont have much time There are choices of 18 Birthday cards,6 Get Well cards, 9 Graduation cards,and 12 Anniversary cards. You selectone of each. What is the total numberof ways the cards can be selected? A flower shop acquired 80 new customers last year. Costs in the marketing and sales areas were the following:Marketing Costs = $1,200Sales Costs = $9,000Salaries = $87,000What was the Customer Acquisition Cost?2.The owner of a bike shop would like to analyze the sales data to determine if the business is growing, declining, or remaining flat. The owner has the following data:Sales Revenue Last Year =$125,000Sales Revenue Current Year = $150, 000What is the Sales Growth?3.Peter owns a candy store. His starting balance last month was $15,300. His ending balance was $12,500. What is Peter Burn Rate?4.Terri owns a computer repair shop. Her revenue at the end of last month was $8,000. What is Terri's Run Rate?5.Ben owns an ice cream shop. Last quarter's income was $9,000; his cost of goods was $575, and his total expenses were $5,000. What is Ben's Net Income for the last quarter? 6.Ben owns an ice cream shop. Last quarter's income was $9,000; his cost of goods was $575, and his total expenses were $5,000. What is Ben's Gross Profit for the last quarter? 7.A law passed increasing the minimum wage by 10%.The owner of a small bakery must now pay all her laborers 10% higher wages. What is the Minimum Amount the owner now charge customers for labor to balance her increased operational expenses?8.A stylist charges $20.00 per haircut. The total cost for running her home-based business is $4,000.00 per month, which includes her salary of $3,000.00 per month. To cover all these expenses and her salary, she must do a minimum of 200 haircuts per month.Because the cost of living has gone up, she wants to increase her salary to $3,500, making her total monthly expenses $4,500.00What is the minimum price she must charge for each of the 200 haircuts so she can cover this increased salary? 9.What is the formula for determining Income Tax Expense?Question 9 options: Income Tax Expense = Gross Profit x Tax RateIncome Tax Expense = Liability AssetsIncome Tax Expense= Net profit + Net GrossIncome Tax Expense = Gross Profit / Tax Rate10.What is the formula for determining a Break-even Point?Question 10 options:Break-even Point = Total cost / Product or service sales priceBreak-even Point = Total cost + Product or service sales priceBreak-even Point = Total cost - Product or service sales priceBreak-even Point = Total cost x Product or service sales price Locate the brand in the minds of the consumers to maximize potential benefit,This is the goal of 0.27 ? 0.3=which one is it???? HELP!! WILL MARK BRAINLIESTA bag contains 2 red marbles, 3 blue marbles, and 4 green marble. What is theprobability of choosing a red marble, replacing it, then drawing a green marble?A bag contains 2 red marbles, 3 blue marbles, and 4 green marble. What is theprobability of choosing a red marble, and without replacing it, then drawing a greenmarble? Explain how you will assess utility when making a decision based on utilitarianism. What are cell biology, genetics, andmolecular biology?