For every 3 people that prefer soda, 7 people prefer water. If 18 people prefer soda, how many prefer water?

Answer:

Step-by-step explanation:

Slope of perpendicular line = \(\frac{-1}{m}\)

       = -1 ÷ \(\frac{-5}{3}\)

        \(= -1 *\dfrac{-3}{5}\\\\=\dfrac{3}{5}\)

Turtle can go in any direction farthest  to 4 block

hence Maximum Distance can be + 4 or - 4

Block representing farthest distance is x

Distance of block  x from 112  would be

x  - 112  

x  - 112    = ± 4

Taking mod both sides

=> | x - 112 | = |  ± 4 |

=> | x - 112 | = 4

| x - 112 | = 4  is the equation which can be used to find the block numbers that represent the farthest distance that the turtle may be

Brainliest?

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

The equivalent expression is ~

\( \boxed{27 {x}^{2} }\)

\( \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}\)

Let's solve ~

Answer:

Step-by-step explanation:

Since the highest power is x^4, y increases without bound as x approaches positive or negative infinity. So the end behavior is positive infinity.

The equation of the quadratic function, given the vertex V (4, 3) and point P (-4, 131), is:

f(x) = 2x² - 16x + 35 in standard form.

The equation of a quadratic function given the vertex V and a point P on the function we can use the vertex form of the quadratic equation:

f(x) = a(x - h)² + k

(h, k) represents the coordinates of the vertex.

Given:

Vertex V: (4, 3)

Point P: (-4, 131)

Using the vertex V (4, 3), we can substitute the values into the vertex form equation:

f(x) = a(x - 4)² + 3

Now, we can substitute the coordinates of the point P (-4, 131) into the equation:

131 = a(-4 - 4)² + 3

Let's solve this equation to find the value of 'a':

131 = a(-8)² + 3

131 = 64a + 3

128 = 64a

a = 128/64

a = 2

Substituting the value of 'a' into the equation:

f(x) = 2(x - 4)² + 3

Expanding and simplifying:

f(x) = 2(x² - 8x + 16) + 3

f(x) = 2x² - 16x + 32 + 3

f(x) = 2x² - 16x + 35

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Answer:

D

Step-by-step explanation:

Area = pi r^2

d = 10

r = d/2

r = 5

Area = 3.14 * 5^2

Area = 3.14 * 25

Area = 78.5

Answer:

1. 78.5

2. 43.96

Step-by-step explanation:

well since

\(\frac{diameter}{2} = radius\)

the radius is 5 meters

the area of a circle is

\(A = \pi r^2\\\\A = \pi (5)^2\\\\A = 25\pi\\\\A \approx 78.5\)

the circumference of a circle is given by

\(C = 2\pi r\\\\C = 2\pi (7)\\\\C = 14\pi\\\\C \approx 43.98\)

guess is close enough to 43.96

Let's start by assigning variables to the unknowns in the problem. Let x be the number of one-dollar bills,

y be the number of five-dollar bills, and z be the number of ten-dollar bills. From the problem, we know that: x + y + z = 35 (since there are 35 bills in total) 1x + 5y + 10z = 144 (since the total amount of money is $144) z = y + 2

(since there are two more ten-dollar bills than five-dollar bills) Now we can substitute the third equation into the second equation: 1x + 5y + 10(y + 2) = 144 Simplifying: 1x + 15y + 20 = 144 1x + 15y = 124 We have two equations with two variables: x + y + z = 35 x + 15y = 124 Solving for x in the second equation: x = 124 - 15y

Substituting into the first equation: (124 - 15y) + y + (y + 2) = 35 126 - 13y = 35 -13y = -91 y = 7

Now we can find z: z = y + 2 = 9 And finally, we can find x: x = 124 - 15y = 124 - 15(7) = 19 Therefore, there are 19 one-dollar bills, 7 five-dollar bills, and 9 ten-dollar bills.

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1. The probability of selecting exactly one tank with high-viscosity material is 0.

2. The probability of selecting at least one tank with high-viscosity material is 1.

3. The probability of selecting exactly one tank with high-viscosity material and exactly one tank with high impurities is 0.25.

1. The probability of selecting exactly one tank with high-viscosity material is calculated by the binomial distribution formula, P(X = n) = (nCx)p^x(1-p)^n-x, where n is the number of trials, x is the number of successes, and p is the probability of success. In this case, n = 4, x = 1, and p = 24/24 = 1. Therefore, P(X = 1) = (4C1)1^1(1-1)^4-1 = 0.

2. The probability of selecting at least one tank with high-viscosity material is calculated by the complement rule, P(X > 0) = 1 - P(X = 0). In this case, P(X > 0) = 1 - (4C0)1^0(1-1)^4-0 = 1.

3. The probability of selecting exactly one tank with high-viscosity material and exactly one tank with high impurities is calculated by the binomial distribution formula, P(X = n) = (nCx)p^x(1-p)^n-x, where n is the number of trials, x is the number of successes, and p is the probability of success. In this case, n = 8, x = 2, and p = 24/24 = 1. Therefore, P(X = 2) = (8C2)1^2(1-1)^8-2 = 0.25.

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Answer: 32 dollars each week

Step-by-step explanation: Divide 768 by 24 and get 32

Answer:

32$ each week.

Step-by-step explanation:

This is simply division. 768 divided by 24 equals 32.

Answer:

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".

The two requirements for a proportional relationship are: The ratio of the two variables maintain the same ratio.

The ball traveled approximately \(26.27\) units in total.

To calculate the distance the ball traveled, we can use the distance formula between two points in a Cartesian coordinate system.

Distance = \(\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1} )^{2} }\)

Let's calculate the distance between Player A and Player B first:

Distance_AB =

\(\sqrt{((16-2)^{2}+(9-4)^{2}) }\)

\(= \sqrt{(14^{2}+5^{2} ) } \\= \sqrt{(196 +25)} \\= \sqrt{221} \\= 14.87\)

Now, let's calculate the distance between Player B and Player C:

Distance_BC =

\(\sqrt{ ((25 - 16)^2 + (16 - 9)^2)}\\= \sqrt{ (9^2 + 7^2)}\\= \sqrt{(81 + 49)}\\= \sqrt{130}\\=11.40\)

Finally, we can calculate the total distance traveled by adding the distances AB and BC:

Total distance = Distance_AB + Distance_BC

\(= 14.87 + 11.40 \\= 26.27\)

Starting from Player A at \((2, 4),\) it was thrown to Player B at \((16, 9),\) covering a distance of about \(14.87\) units. From Player B, the ball was then thrown to Player C at \((25, 16),\) covering an additional distance of approximately \(11.40\) units.

Combining these distances, the total distance the ball traveled was approximately \(26.27\) units.

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Answer:

\((14,\frac{-7}{2})\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (18, 13)

Point (10, -20)

Step 2: Find Midpoint

Simply plug in your coordinates into the midpoint formula to find midpoint

Answer:

(9, -7/2)

Step-by-step explanation:

Answer:

| B | = - 9

Step-by-step explanation:

The determinant of a 2 by 2 matrix B = \(\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right]\) is

| B | = ad - bc

Then for

B = \(\left[\begin{array}{ccc}0&1\\9&8\\\end{array}\right]\)

| B | = (0 × 8 ) - (1 × 9 ) = 0 - 9 = - 9

Both Anorexia and Bulimia the rate of occurrence is high in females as compare to males so the choice is female to male ratio is 12  to 1.

Therefore, the rate of occurrence in females is much more than the males. Correct option is 12 to 1.

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The primary disadvantage is a rather insensitive measure of data variation. The correct option is b.

Given that the range to compare the variability of data​ sets.

The sample variance is the sum of squares of deviations from the mean divided by the number of observations minus one. The population variance is the average of the squared distances of the measurements across all units in the population from the mean. The downside of using range is that it doesn't measure the spread of the majority of values ​​in a data set, it only measures the difference between the highest and lowest values.

Hence, the primary disadvantage of using the range to compare the variability of data​ sets is a rather insensitive measure of data variation.

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Answer:

A. 66

Step-by-step explanation:

180 - 90 = 90

90 - 24 = 66

Answer will be 66

Hope this helps!

Answer:

(5,3)

Step-by-step explanation:

Well to solve the following,

y = 8 - x

y = x - 2

Graphically.

We need to graph both equations,

Look at the image below ↓

By looking at the graph we can tell the intercept point is at (5,3).

Thus,

the solution is (5,3).

Hope this helps :)

The complete statement is: In the year 2010, there will be approximately 600 grizzly bears at Yellowstone National Park.

The complete question is added as an attachment

From the attached graph, we have the following highlights

So, the value of A(1) means that we find the number of grizzly bears in the year 2010

According to the graph, the value of the function where x = 1 is 600

So, we have:

A(1) = 600

The incomplete sentence is given as:

In the year there will be approximately grizzly bears at Yellowstone National Park.

A(1) = 600 represents the number of grizzly bears in the year 2010

So, the complete statement is:

In the year 2010, there will be approximately 600 grizzly bears at Yellowstone National Park.

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Answer:

10

Step-by-step explanation:

I bought 5 crates of apples

Each crate contains 10 apples

I want to exhibit the appleonin 5 shelves

Therefore the apples on each shelve can be calculated as follows

Total apples= 50

= 50/5

= 10

Hence there would be 10 apples on each shelf

Answer:

The answer would be B (3/2)

Step-by-step explanation:

Answer:

B . 3/2

Step-by-step explanation:

lets take two random points ( it doesn't have to be a specific one but it just has to be on the line.)

(-2,-2) and (0,1)

we have to find the change in our y coordinates divided by our change in the x coordinates.

so.....

-2 - 1  /  -2 - 0

that eqauls to

-3 / -2 = 3 / 2

Answer:

ans: x= 1/2

Step-by-step explanation:

The probability that, in an hour, at least 4 cars will enter the car wash is 0.94.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

It is given that:

Cars enter a car wash according to a Poisson process at a mean rate of 2 cars per half an hour.

Here the value of λ is:

λ = 2 cars/half an hour

λ = 4 cars/hour

The probability that, in an hour, at least 4 cars will enter the car wash:

P(x = 4) = 4⁴e⁻⁴/5

After solving:

P(x = 5) = 0.937 ≈ 0.94

Thus, the probability that, in an hour, at least 4 cars will enter the car wash is 0.94.

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Considering the function for water in the swimming pool f(t) = t² + 8t + 9 and the function for leakage d(t) = t² + 11t + 4. The function for water in the pool is w(t) = -3t + 5t

The pool will be emptied in 5/3 hours

The point of intersection represent the point where the water leaking and the water in the pool are equal.

The domain are

f(t) = t² + 8t + 9 the domain is

d(t) = t² + 11t + 4 the domain is

w(t) = -3t + 5, the domain is

The expression for water in the pool is written as follows

w(t) = f(t) - d(t)

w(t) = (t² + 8t + 9) - (t² + 11t + 4)

w(t) = -3t + 5

The pool will leak all the water when w(t) = 0

w(t) = -3t + 5 = 0

3t = 5

t = 5/3 hours

The domain that makes sense in the problem is when the output is not negative.

hence the roots to the equation are solved and points between the roots are excluded, These points are negative for a parabola that opens upwards.

f(t) = t² + 8t + 9 the roots are t = -1.354 OR -6.646

the domain will be

-∞ < t ≤ -1.354 and -1.354 ≤ t < ∞

d(t) = t² + 11t + 4 the roots are t = -0.377 OR -10.623

the domain will be

-∞ < t ≤ -0.377 and -10.623 ≤ t < ∞

For w(t) = -3t + 5, the domain is t ≥ 5/3

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A function \(P(t) = 170.(1.30)^t\)  that gives the deer population P(t) on the reservation t years from now

We were told there were 170 stags on reservation. The number of deer is increasing at a rate of 30% per year.

We could see the deer population grow exponentially since each year there will be 30% more than last year.

Since we know that an exponential growth function is in form:

\(f(x) = a*(1+r)^x\)

where a= initial value, r= growth rate in decimal form.

It is given that a= 170 and r= 30%.    

Let us convert our given growth rate in decimal form.

\(30 percent = \frac{30}{100} = 0.30\)

Upon substituting our given values in exponential function form we will get,

    \(P(t) = 170.(1+0.30)^t\)

⇒ \(P(t)= 170.(1.30)^t\)

Therefore, the function \(P(t) = 170.(1.30)^t\) will give the deer population P(t) on the reservation t years from now.

Complete Question:

There are 170 deer on a reservation. The deer population is increasing at a rate of 30% per year. Write a function that gives the deer population P(t) on the reservation t years from now.

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Answer:

the y-intercept is 8 and the slope is -4/3 .

Step-by-step explanation:

The y - intercept is (0, 8) and the slope is -4/3

"It is the point at which the graph of the function intersects the y-axis"

The slope of the line passing through points \((x_1,y_1),(x_2,y_2)\) is,

\(m=\frac{y_2-y_1}{x_2-x_1}\)

For given example,

We can observe that the line of best fit on this scatter plot passes though points (0, 8) and (6, 0)

Using the slope formula,

⇒ slope = (0 - 8)/(6 - 0)

⇒ slope = (-8)/6

⇒ slope = -4/3

Also, we can observe that the line of best fit on this scatter plot intersects y-axis at point (0, 8)

So, the y - intercept is (0, 8)

Therefore, the y - intercept is (0, 8) and the slope is -4/3

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Answer: 25°

Step-by-step explanation:

So we know that the right angle equals 90°.

And we know that all the angles of a triangle have to add up to 180°.

Also angle x and the exterior angle that is 115° are supplementary, so they have to add up to 180°. So we have to subtract 180 - 115 = 65.

So our equation for y is:

y + 65 + 90 = 180

y + 155 = 180

y = 25

So y = 25°

Hope this helps!!! :)

Answer:

19

Step-by-step explanation:

x = 7, so we have:

7 + 7 = 14

14 + 5 = 19

Answer:

19

Step-by-step explanation:

you replace the x with a seven. so it will look like

7+7+5= 19

Answer:

h= 0.25c +4

Step-by-step explanation:

➀ Define variables

Assuming that you are asking for the equation representing the height of the stack, let's start by letting the height of the stack be h inches and the number of cups be c.

➁ Find the increase in height with every additional cup

If an additional cup is stacked on the first cup, the height increment is 0.25 inches. When 2 cups are added, the height increment is 2(0.25)= 0.5 inches. Thus the expression for the increase in height is 0.25c, where c is the number of cups as we have already defined in step 1.

➂ Find the total height of the stack

Since the height of the first cup remains constant at 4 inches tall, the total height of the stack can be represented by the equation:

h= 0.25c +4

Answer:

\(\huge \boxed{430=2 \times 5 \times 43}\)

Step-by-step explanation:

Using factor tree,

Answer:

\(\large\boxed{2, 5, 43}\)

Step-by-step explanation:

                                                          430

                                                      /             \

                                                  215              2

The 2 cannot be factorized anymore, so I will put a small box around it.

                                                          430

                                                      /             \

                                                  215            \(\boxed{2}\)

                                                  /  \                

                                             43     5

5 and 43 cannot be factorized any smaller.

                                                          430

                                                      /             \

                                                  215            \(\boxed{2}\)

                                                  /  \                

                                             \(\boxed{43}\)     \(\boxed{5}\)

The prime factorization is the numbers in the boxes, which are 2, 5, and 43.

\(\large\boxed{2, 5, 43}\)

Hope this helps :)

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

If the formatting is not showing up correctly, please refer to the images of my answer below instead.

Answer:

(3,4.5)

Step-by-step explanation:

Three, Four point five

The required coordinates are (3,4.5) which represents the plant was 4.5 inches tall after 3 weeks in the given graph.

A graph can be described as a visual representation or a diagram that represents data or values.

The graph is shown which is given in the question

Here the x-axis represents the age of a plant in weeks, and the y-axis represents the height of the plant in inches on a coordinate grid.

After 3 weeks, the plant was 4.5 inches tall.

As per the given condition,

The x-coordinate is 3 weeks which means 3 units

The y-coordinate is 4.5 inches height of the plant which means 4.5 units

Therefore, the required coordinates are (3,4.5) which represents the plant was 4.5 inches tall after 3 weeks in the given graph.

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