how to write expression for: three times square of apples on a tree minus 22 times the numbers of apples plus 35

The graph of the function y = 5|x - 4| is added as an attachment

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

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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Answer: No

Step-by-step explanation:

to be proportional, both numbers have to increase by the same number

because if u multiply 6 by 2 you get 12, but when you multiply 10 by 2 you get 20, not 60 it would be proportional if you said 6 and 10 in to 12 and 20 in

Answer:

4.692 to 7.308

Step-by-step explanation:

Given :

n1 = 25 ; n2 = 20 ;

Mean x1 = $12 ; mean x2 = $6

Standard deviation, s1 = 3 ; s2 = 1

Confidence interval :

(x1 - x2) ± t*√(s1²/n1) + (s2²/n2)

x1 - x2 = (12 - 6) = 6

√(s1²/n1) + (s2²/n2) = √(3²/25) + (1²/20) = 0.640

Degree of freedom :

((s1²/n1) + (s2²/n2))² / (s1²/n1)²/n1-1 + (s2²/n2)²/n2-1

Numerator = 0.1681

Denominator = 0.0054 + 0.0001315 = 0.0055315

Degree of freedom = 0.1681 / 0.0055315 = 30.38 = 30

Tcritical at 0.05, df = 30 = 2.042272

Hence ;

6 ± 2.042272(0.640)

6 ± 1.30705408

Lower boundary = 6 - 1.30705408 = 4.69294592

Upper boundary = 6 + 1.30705408 = 7.30705408

(4.693 ; 7.307)

Answer:

f(-3) = 9

Step-by-step explanation:

Step 1: Define

f(-3) = x = -3

f(x) = x²

Step 2: Substitute and Evaluate

f(-3) = (-3)²

f(-3) = 9

Answer:

Runner C

Step-by-step explanation:

Tell me if I'm wrong but 100% sure I'm right

The linear regression for the best fit of the data to identify the runner that kept the most consistent pace is Runner C

The connection between the independent (x) and dependent (y) variables in the graph can be graphically represented using regression lines.

In a linear model, the terms are added rather than multiplied, divided, or provided as a non-algebraic function, as has been the case thus far in this section. Analysis of experimental, monetary, and biological data as well as complex system prediction are both possible using linear modelling.

A statistical technique used to build a linear model is called linear regression. The model explains how one or more independent variables Xi relate to a dependent variable y (also known as the response) (called the predictors). The distance between each data point and the regression line is called a residual.

Given data ,

Three runners competed in a race data were collected at each mile mark for each runner

And , If the runner ran at a constant paste the data would be linear

Now , a  linear a regression line was fitted to their data

And , In linear regression, consistent data refers to a set of data points that fall in a linear pattern with a small amount of scatter around the line of best fit. The data is said to be consistent if the residuals (the vertical distances between the observed data points and the predicted values on the line of best fit) are relatively small and do not exhibit any patterns or trends.

So , the runner C has the most consistent pace among the three runners

Hence , runner C is the best fit for the regression line

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Answer:

sir plz said that diagram in which it's is say

f ' ( x ) = 1 ( x + 1 ) 2

Explanation:

differentiating from first principles

f ' ( x ) = lim h → 0

f ( x + h ) − f ( x ) h

f ' ( x ) = lim h → 0

 x + h x + h + 1 − x x + 1 h

the aim now is to eliminate h from the denominator

f ' ( x ) = lim h =0  

( x + h ) ( x + 1 )− x ( x + h + 1) h ( x + 1 ) ( x + h + 1 )

f ' ( x ) = lim h → 0

 x 2 + h x + x + h − x 2 − h x − x h ( x + 1 ) ( x+h + 1 )

f ' ( x ) = lim h → 0

h 1 h 1 ( x + 1 ) ( x + h +1 )

f ' ( x ) = 1 ( x + 1 ) 2

Angle EFG is an angle with a measure of 42 degrees is drawn below.

Given that, angle EFG= 42 degrees.

Angle EFG is an angle with a measure of 42 degrees. To draw angle EFG, first draw a line segment and mark two points on the line segment. Label the two points E and F. Then, using a protractor, measure out an angle with a measure of 42 degrees from the line segment EF, starting from point E. Finally, mark the end of the angle as point G.

Therefore, angle EFG is an angle with a measure of 42 degrees is drawn below.

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Answer:

A = 14 units ²

Step-by-step explanation:

Hello There!

The polygon shown is a triangle

The first step is to find the formula for area of a triangle

\(A=\frac{1}{2} bh\)

where b = base and h = height

the following dimensions are given

base = 7 and 4 = height

so all we have to do is plug in the values into the formula

\(A=\frac{1}{2} 7*4\\7*4=28\\\frac{1}{2} 28=14\\A=14\)

so we can conclude that the area of the polygon is 14 units ²

Answer:

area of polygon =area of TRIANGLE =

1/2 base×height =1/2×7×4=14 units²

Answer:

Slope: 7

Y-Intercept : -9

Step-by-step explanation:

Answer:

4556.25

Step-by-step explanation:

10:5:8=x:y:18

18/8=2.25

x=2.25x10=22.5

y=2.25x5=11.25

11.25x22.5x18=4556.25

Answer:

Number of tablet needed = 1 tablet

Step-by-step explanation:

Given:

Amount of calcium per day needed = 3 gram

Amount of calcium in a tablet = 300 mg

Find:

Number of tablet needed

Computation:

Number of tablet needed = Amount of calcium per day needed / Amount of calcium in a tablet

Number of tablet needed = 3gram / 300 milligram

Number of tablet needed = 300 milligram / 300 milligram

Number of tablet needed = 1 tablet

Answer:

25, 0, -12.5

Step-by-step explanation:

See attached

Rate of change is:

Interval 0 - 1 min

Interval 1 - 2 min

Interval 2- 5 min

To begin, let's find how much the book is including tax and the student discount.  Once we find this, we can see if Lara or Alex is correct and if they can afford it.

First, we want to compute the student discount. The student discount is 35%. Thus, we can do 0.65 x 28.50 = 18.525. With 10% tax, we have 18.525 x 1.1 = 20.3775. Which will round up to $20.38.

Now, lets see what Alex did and if he got the same answer. First he takes 35% of $28.50 and subtracts it from the normal price.

.35 x 28.50 = 9.975

28.50 - 9.975 = 18.525

Then he takes 10% of this number and adds it back.

.10 x 18.525 = 1.8525

18.525 + 1.8525 = 20.3775

Alex has the correct answer.

Next, we will see if Lara computed it correctly.

First she takes 65% of the normal price.

0.65 x 28.50 = 18.525

Then she computes 110% of the reduced price.

18.525 x 1.10 = 20.3775

Lara also gets the correct answer.

So, do they have enough money to purchase the book?

YES:

$20.38 < $21

Is Alex correct?

YES

Is Lara correct?

YES

Although they used different methods to get the answer, they both got the right one!

Stefan picks up 40 bushels of apples in 12 hours.

With the helo of gabriela they do so th 6.67 hours. We can represent this in the following table:

Bulshels of apples Hours

40 6.67

We need to multiply these number by 2, so that we can know how much time it would take for Gabriella to pick 40 alone.

Bulshels of apples Hours

40 6.67

80 13.34

Now, since picking 80 together takes 13.34 hours, and we know that tefan picks up 40 in 12 hours, the other 40 where picked up by Gabriella in:

Answer: 1.34 Hours

Answer: where is the answer choices

Step-by-step explanation:

Answer: \(230\)

Step-by-step explanation:

To find coterminal angles, add/subtract integer multiples of \(360^{\circ}\).

\(-490^{\circ}+360^{\circ}=-130^{\circ}\\\\-130^{\circ}+360^{\circ}=230^{\circ}\)

An angle θ that is coterminal with −490∘ and lies between 0∘ and 360∘ is 130∘.

To find an angle θ that is coterminal with −490∘ and lies between 0∘ and 360∘, we can use the concept of coterminal angles.

Coterminal angles are angles that have the same initial and terminal sides when drawn in standard position. To find a positive coterminal angle with a negative angle, we can add 360 degrees to the negative angle until we get an angle within the desired range (0∘ to 360∘).

Let's find the positive coterminal angle:

θ = -490∘ + 360∘

θ = -130∘

So, an angle θ that is coterminal with −490∘ and lies between 0∘ and 360∘ is 130∘.

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Answer:

224

Step-by-step explanation:

360.-136.

The person is approximately 8.43 miles from home, and they need to walk in the direction of approximately 26.6 degrees east of north to head directly home.

To determine the distance from home, we can use the concept of vector addition. The person walks 4 miles west, which can be represented as a vector (-4, 0) in a coordinate plane. Then, they walk 5 miles southwest, which can be represented as a vector (-3.54, -3.54) since southwest is a combination of west and south. Adding these two vectors together gives us (-7.54, -3.54).

To find the magnitude or distance from home, we use the Pythagorean theorem. The distance is given by sqrt((-7.54)^2 + (-3.54)^2) = 8.43 miles (approximately).

To determine the direction to head directly home, we need to find the angle between the vector (-7.54, -3.54) and the positive x-axis. We can use trigonometry to find this angle. The tangent of the angle is given by the ratio of the y-coordinate to the x-coordinate, which is -3.54 / -7.54. Taking the inverse tangent of this value gives us approximately 26.6 degrees.

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Answer:

6.7%

Step-by-step explanation:

We want to solve the following equation

for the variable e. To do, we should apply mathematical operations on both sides of the equation, so we isolate the variable on one side of the equation. First we begin by removing the 6. To do so, we should subtract 6 on both sides, so we get

Now, the only factor we are missing is the 3, that is dividing the variable. So, to remove this factor, we should multiply by 3 on both sides. So we get

So the value we get is -45. Now, we should check this value. To do so, we will take the expression that has the variable and replace the value we found. We get

So, since we got the value that is on the other side of the equation, we confirm that e=-45 is the correct value

The constant of proportionality is 32

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

H is jointly proportional to the squares of L and W

The above equation means that

H = kL^2W^2

Where

k = constant of proportionality

So, we have

k = H/(L^2W^2)

Using the given values, we have

k = 72/(3^2 * (1/2)^2)

Evaluate

k = 32

Hence, the value of k is 32

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Answer:

Caleb.

Step-by-step explanation:

Deborah's speed = 2.2 / 8 = 0.275 miles /  minute.

Caleb's speed = 3.5/12 = 0.292  miles /  minute.,

The volume of the figure is 54 cubic units

Since we are not given a figure, we can assume it as a rectangular prism:

Area of the rectangular prism = a²b

Given that a = 3 units and b = 6 units, the required volume is expressed as:

V = 3² * 6

V = 9 * 6

V = 54 cubic units

Hence the volume of the figure is 54 cubic units

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Greetings from Brasil...

The point (-2; -4) is in the blue area, so it is the solution to the equation;

The point (-1; -5) is in the blue area, so it is the solution to the equation;

The point (0; -3) is in the blue area, so it is the solution to the equation;

The point (2; -1) is exactly on the function line. As this line is dashed, it does not include its values, so this point is not a solution (no point on the dashed line is a solution)