1. Tess measures out two different paint colors for her new art project. She uses ounces of red paint and ounces of yellow paint to create the perfect shade of orange. How many ounces of orange paint does Tess have?​

Answers

Answer 1

Step-by-step explanation:

The value of the red and orange paint put together is equal to the amount of orange paint.


Related Questions

Write an equation perpendicular to x-3y=3 passes through (5,-9)

Answers

3y=x-3
y=1/3x-1
Perpendicular slope: -3
y=-3x+b
Plug in the coordinates in the equation:
-9=-3(5)+b
-9=-15+b
4=b
Equation: y=-3x+4
Also, when finding the perpendicular slope you take the reciprocal of the original slope and make it negative if it is positive and make it positive if it’s negative.

 Equation of a line perpendicular to x - 3y = 3 will be y = -3x + 6.

    If two lines having slopes \(m_1\) and \(m_2\) are perpendicular, property of perpendicular lines shows,

\(m_1\times m_2=-1\)

Line given in the question is,

x - 2y = 3

-2y = 3 - x

\(y=\frac{1}{3}x-1\)

Slope of this line is,

\(m_1=\frac{1}{3}\)

Therefore, slope of the perpendicular line to the given line will be,

\(\frac{1}{3}\times m_2=-1\)

\(m_2=-3\)

Equation of a line passing through a point (h, k) and slope 'm' is given by,

y - k = m(x - h)

Therefore, equation of a line passing through (5, -9) and slope (-3) will be,

y - (-9) = -3(x - 5)

y + 9 = -3x + 15

y = -3x + 6

      Hence, equation of the line perpendicular to x - 3y = 3 will be y = -3x + 6.

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What is the equation of the line that passes through the point (-3,7) and has a
slope of -3?

Answers

Answer: y + 3x + 2 = 0

Step-by-step explanation:

The formula for that is

y - y₁

-------     = -3 where x₁ = -3, y₁ = 7

x - x₁

Therefore cross multiply and solve

y - 7 = -3[( x - (-3)]

y - 7 = -3( x + 3 )

y - 7 = -3x - 9

y + 3x -7 + 9 = 0

y + 3x + 2 = 0

Answer:

y=-3x-2

Step-by-step explanation:

The length of a rectangle is (x+3)cm. If the width of the rectangle is two thirds its length and the perimeter is 27cm,find its area

Answers

Answer:

\(A = 43.74\)

Step-by-step explanation:

Represent Length with L, Width with W and Perimeter with P

\(P = 27\)

\(L=x+3\)

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

Required

Determine the Area

From the perimeter, we need to solve for x;

\(P = 2(L + W)\)

Substitute values for P, L and W

\(27 = 2(x + 3 + \frac{2}{3}(x+3))\)

\(27 = 2(x + 3 + \frac{2}{3}x+2)\)

Collect Like Terms

\(27 = 2(3 + 2 + x + \frac{2}{3}x)\)

\(27 = 2(5 + \frac{3x + 2x}{3})\)

\(27 = 2(5 + \frac{5x}{3})\)

Open bracket

\(27 = 10 + \frac{10x}{3}\)

Collect Like Terms

\(27 - 10 = \frac{10x}{3}\)

\(17= \frac{10x}{3}\)

Solve for x

\(x = \frac{3*17}{10}\)

\(x = \frac{51}{10}\)

\(x = 5.1\)

The Area is then calculated using:

\(A = L * W\)

\(A = (x + 3)*\frac{2}{3}(x+3)\)

\(A = \frac{2}{3}(x+3)^2\)

Substitute 5.1 for x

\(A = \frac{2}{3}(5.1+3)^2\)

\(A = \frac{2}{3}(8.1)^2\)

\(A = \frac{2}{3}*65.61\)

\(A = \frac{2*65.61}{3}\)

\(A = \frac{131.22}{3}\)

\(A = 43.74\)

Hence, the area is \(43.71cm^2\)

PLEASE HELP!!!
Find the x and y intercepts for8x - 16y= 64.

A. x=4; y = 8

B. x=8;y = 4

C. x=8; y = -4

D. x=1/4; y = 8

Answers

Answer:

C. x =8; y = -4

Step-by-step explanation:

To find the x and y intercepts, substitute with zero.

8x - 16y = 64

Finding the x-intercept:

8x - 16(0) = 64

8x = 64

Divide both sides by 8.

x = 8

Finding y-intercept:

8(0) - 16y = 64

-16y = 64

Divide both sides by -16.

y = -4

is it A. power function when n is oddB. power function when n is evenC. absolute value function D. Exponential FunctionE. Root function when n is even F.)Root function when n is odd

is it A. power function when n is oddB. power function when n is evenC. absolute value function D. Exponential

Answers

The given graph is a parabola.

We get the points (0,0) and (2,4) from the graph by observing the graph.

Here (0,0) is vertex.

Consider the equation of the parabola.

\(y=a(x-h)^2+k\)

where (h,k) is the vertex.

Substitute h=0, k=0 in the parabola equation, we get

\(y=a(x-0)^2+0\)

\(y=ax^2\)

Substitute x=2 and y=4 to find the value of a.

\((4)=a(2)^2\)

\(4=4a\)\(a=1\)

Substitute a=1 in the equation, we get

The equation of the given graph is

\(y=x^2\)

We know that the power function can be written as follows.

\(y=x^n\)

Compared with the given graph function, we get n=2.

Hence the given graph is a power function when n is even.

is it A. power function when n is oddB. power function when n is evenC. absolute value function D. Exponential

Given this equation what is the value at the indicated point?

Given this equation what is the value at the indicated point?

Answers

Answer:

1 = y^2 - 2

y^2 = 3, so y = -√3

you and a friend have created a carnival game for your classmates. you plan to charge $1 for each time a student plays, and the payout for a win is $5. according to your calculations, the probability of a win is .05 what is your expected value for this game?​

Answers

Answer:

The expected value for this game is -$0.75, indicating that, on average, players would expect to lose $0.75 per game.

Step-by-step explanation:

Expected Value = (Probability of Winning * Payout for Win) - Cost of Playing

In this case:

Probability of Winning = 0.05

Payout for Win = $5

Cost of Playing = $1

Expected Value = (0.05 * $5) - $1

Expected Value = $0.25 - $1

Expected Value = -$0.75

At Denver International Airport, 83% of recent flights have arrived on time. A sample of 12 flights is studied. (a) Calculate the probability that all 12 flights were on time

Answers

Answer:

10.69% probability that all 12 flights were on time

Step-by-step explanation:

For each flight, there are only two possible outcomes. Either it was on time, or it was not. The probability of a flight being on time is independent of any other flight. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

83% of recent flights have arrived on time.

This means that \(p = 0.83\)

A sample of 12 flights is studied.

This means that \(n = 12\)

Calculate the probability that all 12 flights were on time

This is P(X = 12).

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 12) = C_{12,12}.(0.83)^{12}.(0.17)^{0} = 0.1069\)

10.69% probability that all 12 flights were on time

The figure above shows a store's supply-demand graph for coffee makers. If the store sells $600 worth of coffee makers, which of the following is a valid possible price for them?

A. $15

B. $30

C. $40

D. $55

The figure above shows a store's supply-demand graph for coffee makers. If the store sells $600 worth

Answers

The possible price for the items if the store sells $600 is (c) $40

How to determine the possible price for the items?

From the question, we have the following parameters that can be used in our computation:

The supply-demand graph

If the store sells $600, then there is a supply worth of $600

The equation of the supply line is calculated as

y = mx + c

Where

c = y = 0

i.e. c = 100

So, we have

y = mx + 100

Using another point on the graph, we have

30m + 10 = 400

So, we have

m = 13

This means that

y = 13x + 100

For a supply of 600, we have

13x + 100 = 600

So, we have

13x = 500

Divide by 13

x = 38.4

Approximate

x = 40

Hence, the possible price for the items is (c) $40

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I need help solving this

I need help solving this

Answers

The cylinder has a volume of 150.796 in³. The cylinder has a surface area of 175.929 in².

What's volume of cylinder ?

The quantity of three-dimensional space that an object or closed surface occupies is referred to as volume in mathematics. The cubic units of volume are m³, cm³, in³, and so on.

How does surface area work?

The sum of all of an object's faces is its surface area in three dimensions. Wrapping, painting, and finally building things to achieve the best possible design are examples of real-world applications of the concept of surface areas.

Evaluating :

Given that a volume of cylinder = h × r² × π

                         h = 12 in

                          r = 2 in

                       volume = ?

Volume of cylinder = h × r² ×π

                                 = =12 × 3.14×(2)²

                                       =37.68 × 4

                                       =150.796 in³

B). Surface area of cylinder= 2πr² + 2πrh

                                         =2× 3.14 × (2)²+2× 3.14× 2×12

                                          =175.929in²

The formula V=r²(h) can be used to determine a cylinder's volume. Simply multiplying the area of the circular base shape by the height is all that is required to determine a cylinder's volume.

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2x+15=x/2-3

Can someone solve for x and show the answer step by step?

Answers

Answer:

\(2x + 15 = \frac{x}{2} - 3\)

Move the variable

\(4x + 30 = x - 6\)

\(4x - x + 30 = - 6\)

Collect like terms

\(4x - x = - 6 - 30\)

\(3x = - 6 - 30\)

\(3x = - 36\)

Divide both sides by three

\(x = - 12\)

Which is the
4
graph of f(x) = 4[*?
-3-2--1₁-
-2-
2 3 4 5 6
4
1
1-2--11-
-2
2 3
56
4
2-11.
-2-
23
56

Which is the4graph of f(x) = 4[*?-3-2--1--2-2 3 4 5 6411-2--11--22 35642-11.-2-2356

Answers

Option 2 is the correct graph for the function f(x) = \(4[(1/2)^{x}]\) .

Given ,

f(x) = \(4[(1/2)^{x}]\)

Mathematically the graph will of exponential in nature.

So,

Let us assume few values to understand the nature of graph.

Firstly,

Let x= 1

f(x) = \(4[(1/2)^{1}]\)

f(x) = 2

Let x = 2

f(x) = \(4[(1/2)^{2}]\)

f(x) = 1

Let x = 3

f(x) = \(4[(1/2)^{3}]\)

f(x) = 0.5

Thus from these values of f(x) corresponding to the values of x second graph will be correct .

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Which of the following situations satisfies all the conditions of a binomial setting? (These conditions are: we know the number of repetitions, the outcome of each trial can be considered either a success or a failure, we know the probability of success or failure of any trial, and the probability doesn't change from trial to trial.)

Answers

A binomial setting is one in which there are a fixed number of trials, the outcome in each trial is either a success or a failure, the probability of success or failure is known, and the probability doesn't change from trial to trial.

A binomial setting is one in which we know the number of repetitions (n=20), the outcome of each trial can be considered either a success or a failure (p=0.4, q=1-p=0.6), and the probability of success or failure of any trial does not change from trial to trial (p=0.4, q=1-p=0.6).

For example, if we toss a coin 20 times, and we know the probability of success (head) is 0.4 and the probability of failure (tail) is 0.6, then this is a binomial setting. We can calculate the probability of getting exactly 10 heads in 20 tosses using the binomial formula: P(X=10) = (20C10) * (0.4^10) * (0.6^10) = 0.1775.

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NEED IT FOR A PROJECT I HAVE DUE IN A FEW DAYS
PLEASE AND THANK YOU
Calista has a monthly lunch budget of $135. If she makes and brings lunch from home, it typically costs $5 in groceries. If she purchases a meal at a restaurant, she spends $15 on average.
Create an equation that represents the combinations of lunch options that allow Calista to stay in her budget.
Graph the equation for her budget.
Provide 2 combinations that use her entire budget, 1 combination that would be under budget, and 1 combination that would be over her budget.

Answers

Answer:

she was $41.50 off

Step-by-step explanation:

The equation representing the combinations of lunch options that allow Calista to stay in her budget is:

5x + 15y ≤ 135

Given:

Cost of bringing lunch from home (x times) = $5 x

Cost of purchasing a meal at a restaurant (y times) = $15 y

Monthly budget = $135

Let's denote the number of times Calista brings lunch from home as "x" and the number of times she purchases a meal at a restaurant as "y".

We know that the total cost of her lunch options should not exceed her monthly budget of $135.

The equation representing the combinations of lunch options that allow Calista to stay in her budget is:

5x + 15y ≤ 135

Now, let's graph this equation. Since the graph would be in two dimensions (x and y representing the number of times she brings lunch from home and the number of times she eats at a restaurant, respectively), we'll create a graph with x on the horizontal axis and y on the vertical axis.

Now, let's find the combinations using her entire budget, one combination under the budget, and one combination over the budget. To do this, we need to solve for x and y in the equation while considering the given budget:

Using the entire budget:

Let's consider the case where Calista only brings lunch from home:

5x + 15y = 135

We can solve for y: y = (135 - 5x) / 15

When x = 27, y = 0 (5 x 27 = 135), Calista uses her entire budget by bringing lunch from home 27 times.

Another combination using the entire budget:

Now, let's consider the case where Calista only eats at a restaurant:

5x + 15y = 135

We can solve for x: x = (135 - 15y) / 5

When y = 9, x = 0 (15 x 9 = 135), Calista uses her entire budget by eating at a restaurant 9 times.

Under the budget:

Let's consider a scenario where Calista brings lunch from home more often:

Let x = 20 and solve for y: y = (135 - 5 * 20) / 15 = 5/3

This means she brings lunch from home 20 times and eats at a restaurant 5/3 times, which is not practically possible.

So, let's round it to y = 2.

In this case, she would spend 5 x 20 + 15 x 2 = $110, which is under her budget.

Over the budget:

Let's consider a scenario where Calista eats out more frequently:

Let y = 10 and solve for x: x = (135 - 15 x 10) / 5 = 3

This means she brings lunch from home 3 times and eats at a restaurant 10 times, spending 5 x 3 + 15 x 10 = $165, which is over her budget.

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NEED IT FOR A PROJECT I HAVE DUE IN A FEW DAYSPLEASE AND THANK YOUCalista has a monthly lunch budget

A boat travels with velocity vector (25, 25√3). What is the directional bearing of the boat?
ON 30° E
OE 30° S
OE 30° N
ON 30° W

Answers

In a case whereby a boat travels with velocity vector (25, 25√3) the directional bearing of the boat is ON 30° E.

How can the directional bearing of the boat be determined?

The given velocity vector are; 25 and  25√3)

horizontal  components =25

vertical components =25√3

Then the angle

Tan(θ) = {vertical component / horizontal component }

= 25√3 / 25

= √3 / 1

= √3

Tangent √3= 60 degrees, Then the directional bearing of angle 60 degrees is 30° E

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Jennifer. Leigh Anne, and Karyn went out to eat. Jennifer bought an entrée for $12.95 and split a $4.95 dessert with Karyn, who bought a sandwich for $7.95. Leigh Anne bought soup for $3.95, a salad for $6.95, and coffee for $1.70. Determine the total amount each should pay if tax is 6% and each one tips 15% of her individual bill rounded up to the next quarter.

Answers

The total amount Leigh Anne spent is $3.95 plus $6.95 plus $1.7, that is $12.6. Since they pay a tax of 6% and a tip of 15%, she pays a total of 21% extra; this 21% can be obtained by the tule of three:

\(\begin{gathered} 12.6\rightarrow100 \\ x\rightarrow21 \end{gathered}\)

then:

\(x=\frac{21\cdot12.6}{100}=2.65\)

Therefore, Leigh Anne spent a total of $15.25.

Assuming the dessert was split in half, then Jennifer spent a total of $15.43. To this amount we have to add the tax and tip. By the same logic as before we have:

\(\begin{gathered} 15.43\rightarrow100 \\ x\rightarrow21 \end{gathered}\)

then:

\(x=\frac{21\cdot15.43}{100}=3.24\)

Therefore, Jennifer spent $18.75

Finally Karyn spent $10.43, obtaining the extra amount we have:

\(\begin{gathered} 10.43\rightarrow100 \\ x\rightarrow21 \end{gathered}\)

Then:

\(x=\frac{21\cdot10.43}{100}=2.19\)

Therefore, Karyn spent $12.75.

Find the volume. Round your answer to one decimal place.
(PLZ SOMEBODY HELP ASAP)

Find the volume. Round your answer to one decimal place.(PLZ SOMEBODY HELP ASAP)

Answers

Answer:

32.738ft³

32.7ft³

Step-by-step explanation:

This is half a sphere therefore volume=4/3πr³×1/2

4/3×22/7×2.5³×1/2

=32.738ft³

Pls help Darnell is an election officer. On election day, he travels to the polling place, which is 4.4 miles away from his home. On a map of Harrison County, these two places are 8 inches apart. What is the scale of the map? Write your answer in simplest form using whole numbers.

Answers

Answer:

The scale of the map is 1 : 34848

---------------------------------

Real distance is 4.4 miles and on the map it is 8 inches.

The scale is:

8 in : 4.4 miles =                                  Divide both sides by 81 in : 0.55 miles

or

1 in : 0.55 * 63360 in =                       Convert 1 mile = 63360 inches1 : 34848

Can someone describe the process of Simplifying -12x + x - 3x - 9 + 5 - 1

Answers

first lets collect the x's so -12x + x is -11x (think about a number line if you are not sure) then we minus 3x so we get  -14x

-9 + 5 is -4 then if we minus 1 we get -5 so

- 14x - 5

Answer: Combine each like term. Any number in this expression with the variable x is a like term. -12x+1x-3x=-14x. The numbers with no variable are like terms. -9+5-1=-5. The simplified expression is -14x-5.

Step-by-step explanation:

Computer value of the test statistic round your answer to two decimal places

Computer value of the test statistic round your answer to two decimal places

Answers

GIVEN

The study claims that 85% of students are procrastinators. From a random sample of 169 students, 133 identify as procrastinators. The level of significance is 0.05.

SOLUTION

The test statistic (z-score) can be calculated using the formula:

\(z=\frac{\hat{p}-p}{\sqrt{\frac{pq}{n}}}\)

where

\(\begin{gathered} \hat{p}=sample\text{ }proportion \\ p=null\text{ }hypothesis \\ q=1-p \\ n=sample\text{ }size \end{gathered}\)

From the question, the following parameters can be seen:

\(\begin{gathered} \hat{p}=\frac{133}{169} \\ p=0.85 \\ q=1-0.85=0.15 \\ n=169 \end{gathered}\)

Substitute known values into the formula:

\(\begin{gathered} z=\frac{\frac{133}{169}-0.85}{\sqrt{\frac{0.85\cdot0.15}{169}}} \\ \therefore \\ z=-2.29 \end{gathered}\)

Therefore, the test statistic is -2.29.

The Sine Function

Your sine regression model for a given problem is
y = 0.500 sin (0.222x - 1.509) + 0.521.

Use your model to predict y(95). Round your answer to the nearest hundredth.

a. y(95) = 0.27
b. y(95) = 0.47
c. y(95) = 0.17
d. y(95) = 0.85

Please select the best answer from the choices provided

Answers

Answer:

D. y(95) = 0.85

Step-by-step explanation:

I calculated it logically

a summer soccer cam ordered a total of 84 soccer balls and t-shirts for the season. Soccer balls cost $25 each and t-shirts cost $9.50 each. if they paid $1,046 total for the purchase, how many of each item was ordered?

Answers

The Number of Soccer Balls is 16 and the Number of T-Shirts is 68

What is Linear Equation in Two Variables?

A linear equation in two variables is one that is stated in the form         ax + by + c = 0, where a, b, and c are real integers and the coefficients of x and y, i.e. a and b, are not equal to zero.

Solution:

Let,

Number of Soccer Balls = x

Number of T-Shirts = y

Equation 1:

x + y = 84 -----------(i)

Equation 2:

25x + 9.5y = 1046 ----------(ii)

Multiplying Equation 1 by 25

25x + 25y = 2100 ---------(iii)

Substracting Equation2 from Equation 1

15.5y = 1054

y = 68

So, x = 16

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An arrow is shot from 3 ft above the top of a hill with a vertical upward velocity of 108 ​ft/s. If it strikes the plain below after 9.5 ​s, how high is the​ hill?
If the arrow is launched at t​0, then write an equation describing velocity as a function of time?

Answers

The height of the hill is approximately 25.73 ft. Where v0 is the initial velocity (108 ft/s), g is the acceleration due to gravity \((-32.2 ft/s^2)\),

To find the height of the hill, we can use the formula for the vertical position of an object under constant acceleration:

h = h0 + v0t + 1/2at^2

where h is the final height, h0 is the initial height, v0 is the initial velocity, t is the time, and a is the acceleration due to gravity (-32.2 ft/s^2).

In this case, we are given that the initial height h0 is 3 ft, the initial velocity v0 is 108 ft/s, and the time t is 9.5 s. We want to find the height of the hill, which we can denote as h_hill. The final height is the height of the plain, which we can denote as h_plain and assume is zero.

At the highest point of its trajectory, the arrow will have zero vertical velocity, since it will have stopped rising and just started to fall. So we can set the velocity to zero and solve for the time it takes for that to occur. Using the formula for velocity under constant acceleration:

v = v0 + at

we can solve for t when v = 0, h0 = 3 ft, v0 = 108 ft/s, and a = -32.2 ft/s^2:

0 = 108 - 32.2t

t = 108/32.2 ≈ 3.35 s

Thus, it takes the arrow approximately 3.35 s to reach the top of its trajectory.

Using the formula for the height of an object at a given time, we can find the height of the hill by subtracting the height of the arrow at the top of its trajectory from the initial height:

h_hill = h0 + v0t + 1/2at^2 - h_top

where h_top is the height of the arrow at the top of its trajectory. We can find h_top using the formula for the height of an object at the maximum height of its trajectory:

h_top = h0 + v0^2/2a

Plugging in the given values, we get:

h_top = 3 + (108^2)/(2*(-32.2)) ≈ 196.78 ft

Plugging this into the first equation, we get:

h_hill = 3 + 108(3.35) + 1/2(-32.2)(3.35)^2 - 196.78

h_hill ≈ 25.73 ft

If the arrow is launched at t0, the equation describing velocity as a function of time would be:

v(t) = v0 - gt

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Point O is the centroid of triangle ABC. If OD=3x -2 and OC= 5x, find x.

Point O is the centroid of triangle ABC. If OD=3x -2 and OC= 5x, find x.

Answers

At centroid medians bisect each other in the ratio 2:1

\(\\ \sf\longmapsto OC=2(OD)\)

\(\\ \sf\longmapsto 2(3x-2)=5x\)

\(\\ \sf\longmapsto 6x-4=5x\)

\(\\ \sf\longmapsto 6x-5x=4\)

\(\\ \sf\longmapsto x=4\)

The value of x is 4, when we are given O is the centroid of the triangle ABC, OD = 3x - 2, and OC = 5x.

What is the centroid of a triangle?

The center of the thing is represented by its centroid. The centroid of a triangle is the location where the triangle's three medians connect. The junction of all three medians is another definition for it. The median is a line that connects the middle of a side to the triangle's opposite vertex. The median is divided by the centroid of the triangle in a ratio of 2:1.

How to solve the question?

In the question, we are given that O is the centroid of triangle ABC, and are asked to find the value of x, for which OD = 3x - 2, and OC = 5x.

We know that the median is divided by the centroid of the triangle in a ratio of 2:1.

Thus, the median CD is divided by the ratio of 2:1 as,

2/1 = OC/OD,

or, 2/1 = (5x)/(3x - 2),

or, 2(3x - 2) = 1(5x) {Cross-multiplying},

or, 6x - 4 = 5x,

or, 6x - 5x = 4,

or, x = 4.

Thus, the value of x is 4, when we are given O is the centroid of the triangle ABC, OD = 3x - 2, and OC = 5x.

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Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of y plus StartFraction one-half EndFraction equals 3 left-parenthesis x minus 2 right-parenthesis.?

y + 2 =y plus 2 equals StartFraction one-third EndFraction left-parenthesis x plus 3 right-parenthesis.(x + 3)
y – 2 = y minus 2 equals StartFraction one-third EndFraction left-parenthesis x minus 3 right-parenthesis.(x – 3)
y + 3 = y plus 3 equals StartFraction one-third EndFraction left-parenthesis x plus 2 right-parenthesis.(x + 2)
y – 3 = y plus StartFraction one-half EndFraction equals 2 left-parenthesis x minus 3 right-parenthesis.(x – 2)

Answers

The equation that shows the point-slope form of the line passing through (3, 2) with a slope of (1/2) is:

y - 2 = (1/2)(x - 3)

In the point-slope form of a linear equation, the formula is y - y1 = m(x - x1), where (x1, y1) represents a point on the line, and m represents the slope of the line. By substituting the given values into the formula, we can determine the correct equation.

In this case, the given point is (3, 2) and the slope is (1/2). Plugging these values into the formula, we get:

y - 2 = (1/2)(x - 3)

This equation represents the line passing through the point (3, 2) with a slope of (1/2). It is in the point-slope form, which allows us to easily determine the equation of a line based on a given point and slope.

Therefore, the correct equation is y - 2 = (1/2)(x - 3).

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Answer: B

Step-by-step explanation:

Which of the following equations are equivalent? Select three options. 2 + x = 5 x + 1 = 4 9 + x = 6 x + (negative 4) = 7 Negative 5 + x = negative 2

Answers

The three equivalent equations are 2 + x = 5, x + 1 = 4 and -5 + x = -2. So, correct options are A, B and E.

Two equations are considered equivalent if they have the same solution set. In other words, if we solve both equations, we should get the same value for the variable.

To determine which of the given equations are equivalent, we need to solve them for x and see if they have the same solution.

Let's start with the first equation:

2 + x = 5

Subtract 2 from both sides:

x = 3

Now let's move on to the second equation:

x + 1 = 4

Subtract 1 from both sides:

x = 3

Notice that we got the same value of x for both equations, so they are equivalent.

Next, let's look at the third equation:

9 + x = 6

Subtract 9 from both sides:

x = -3

Since this value of x is different from the previous two equations, we can conclude that it is not equivalent to them.

Now, let's move on to the fourth equation:

x + (-4) = 7

Add 4 to both sides:

x = 11

This value of x is also different from the first two equations, so it is not equivalent to them.

Finally, let's look at the fifth equation:

-5 + x = -2

Add 5 to both sides:

x = 3

Notice that we got the same value of x as the first two equations, so this equation is also equivalent to them.

So, correct options are A, B and E.

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Complete question is:

Which of the following equations are equivalent? Select three options.

2 + x = 5

x + 1 = 4

9 + x = 6

x + (- 4) = 7

- 5 + x = - 2

Find the component form of the sum of u and v with direction angles u and v.

Find the component form of the sum of u and v with direction angles u and v.

Answers

We will have the following:

\(\begin{gathered} U_x=14cos(45) \\ \\ U_y=14sin(45) \\ \\ V_x=80cos(180) \\ \\ V_y=80sin(180) \end{gathered}\)

Then:

\(\begin{gathered} \sum_x=\frac{14\sqrt{2}}{2}+(-80)\Rightarrow\sum=7\sqrt{2}-80 \\ \\ \sum_y=\frac{14\sqrt{2}}{2}+(0)\Rightarrow\sum=7\sqrt{2} \end{gathered}\)

So, the component form for the sum of the vectors will be:

\(u+v=(7\sqrt{2}-80)i+(7\sqrt{2})j\)

given that is a standard normal random variable, compute the following probabilities (to 4 decimals). a. 0.1587 b. 0.8413 c. 0.9332 d. 0.9938 e.

Answers

Answer: P( -3≤ X ≤ 0 ) = 0.4987

Step-by-step explanation:

a. 0.1587 - The probability that Z is less than -1.28 (to 4 decimals)

b. 0.8413 - The probability that Z is greater than -1.28 (to 4 decimals)

c. 0.9332 - The probability that Z is less than 1.56 (to 4 decimals)

d. 0.9938 - The probability that Z is greater than -2.33 (to 4 decimals)

Note: To calculate these probabilities, we need to use a standard normal table or a calculator with the cumulative distribution function (CDF) of the standard normal distribution.

The cumulative distribution function (CDF) is a mathematical function that describes the probability that a random variable is less than or equal to a certain value. In other words, it gives the cumulative probability of the random variable taking on a value less than or equal to a specified value.

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What is 2.6 * 10 ^ 5 written in standard notation? A. 26, 000 O B. 2, 060, 000 O C. 20,600 O D. 260, 000 O E. 2, 600, 000 O F. 206, 000

Answers

Answer:260000

Step-by-step explanation:

Can someone help me with this please

Can someone help me with this please

Answers

The cost of 10 gallons is,

⇒ y = 18.8

We have to given that,

A table is shown in image with number of gallons of gas and its cost.

Now, We have to find the rate of change as;

⇒ (10.56 - 8.80) / (6 - 5)

⇒ 1.76

Thus, The equation for table is,

⇒ y - 8.8 = 1.76 (x - 5)

⇒ y - 5 = 1.76x - 3.8

⇒ y = 1.7x + 1.2

Hence, For the cost of 10 gallons;

Plug x = 10;

⇒ y = 1.76 x 10 + 1.2

⇒ y = 18.8

Thus, The cost of 10 gallons is,

⇒ y = 18.8

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