Elena knows that 5 servings of granola have 1,750 calories. if she eats 2 servings of granola,how many calories dose she eat

Other than translation, the other transformation used to create this frieze pattern is:

A 180-degree rotation is a transformation wherein an object or shape obtains a spin of half a full circle, indulging in the metamorphosis of facing the total opposite direction.

To demonstrate this more accurately, each point on the object must transition to a placement that is precisely polar to its primary site; centered by a fixed spot recognized as the axis of revolution.

A close examination of the pattern shows that it is not a reflection, hence making all the options of reflection unsuitable

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To answer this question we will use the following formula for the slope of a line:

Since A, B, C, and D are collinear then:

Now, from the given diagram, we get that, for AB:

Therefore:

Answer:

On solving the provided question, we got to know that 91/4 feet is the vertical distance that ball traveled.

What is equation?

An equation in algebra is a formula that proves two other formulas are equivalent. For instance, the equation 3x + 5 = 14 is produced when the two equations 3x + 5 and 14 are combined with an equal sign. Mathematical equations in algebra frequently have one or more variables.

If the balls land in a straight line:

dropped = 13 ft

rebounds 3/4 (13) ft  = 39/4 ft

vertical travel = 13 + 39/4 = 91/4 ft

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Answer:

15

Step-by-step explanation:

Answer:

........ true ...

obviously -3 is greater than -4

Answer:

False.

Step-by-step explanation:

There are many real numbers between -4 and -3. For example -3.5.

First, we have to make \(w\) the subject of the equation:

\(w - 0.9 > -2.1\\w > -2.1 + 0.9\\w > -1.2\)

This shows that \(w\) is less than but not equal to \(-1.2\). So we are going to use an arrow that has a non-shaded circle. Since the symbol is the greater than symbol, or >, the arrow will point to the right. Thus, the arrow we choose will be the last arrow.

Now since we are comparing \(w\) with \(-1.2\), we place the arrow above the \(-1.2\) point. That's how he place the arrow in the number line.

Answer:

its 4, so x=0

Step-by-step explanation:

:D

Answer:

x=0

Step-by-step explanation:

expand the brackets

8x+4=3x-3+7

5x=-7+7

5x=0

is this question

x=0

Answer:

\(\frac{4}{3x-4}\)

Step-by-step explanation:

The first thing we do to solve this is factor is completley

You can factor out a 4 from the numerator and get

4(3x+4)

The denominator is a  difference of squares which means that

(x^2-y^2)=(x-y)(x+y)

which means that 9x^2-16=

(3x-4)(3x+4)

Put these together and get

\(\frac{4(3x+4)}{(3x-4)*(3x+4)}\)

The 3x+4 cancels out and we get left with

\(\frac{4}{3x-4}\)

There are 41 ways to distribute five distinguishable objects into three indistinguishable boxes.

The boxes are indistinguishable, there are 5 different ways to arrange the number of balls in each box: (5,0,0), (4,1,0), (3,2,0), (3,1,1), or (2,2,1).

There is 1 way to put all 5 balls in one box i.e (5,0,0)

(4,1,0): There are 5 choices for the 4 balls in one of the boxes.

(3,2,0): There are 10 choices for the 3 balls in the boxes.

(3,1,1): There are 10 choices for the 3 balls in one of the boxes, and we can simply split the last two among the other indistinguishable boxes.

(2,2,1): There are 10 options for one of the boxes with two balls, then 3 options for the second box with two balls, and one for remaining for the third.

Therefore the boxes with two balls are indistinguishable, we are counting each pair of balls twice so we have to divide by two.

So there are (10×3)/2=15 arrangements of balls as (2,2,1).

Hence the total number of arrangements for 3 indistinguishable boxes and 5 distinguishable balls is 1+5+10+10+15=41.

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The idea that two variables are unrelated in the population is referred to as statistical independence. Therefore, option d is correct.

Statistical independence is a term used in probability theory and statistics to describe the independence of two random variables. If two random variables are independent, the occurrence of one does not have any impact on the probability distribution of the other.Therefore, if we have two random variables X and Y, and they are statistically independent, the occurrence of X has no effect on the likelihood of Y occurring. In other words, the occurrence of X does not affect the occurrence of Y in any way.So, we can say that two variables are said to be statistically independent when the occurrence of one variable does not have any influence on the probability of occurrence of the other variable. We can also say that there is no association between the two variables.In conclusion, we can say that statistical independence is a fundamental concept in probability theory and statistics, which helps to understand the relationship between two random variables and the probability of their occurrence.

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Answer:

A. g(x) = - x²

Step-by-step explanation:

f(x) reflex over x-axis: g(x) = - f(x)

Using translation concepts, it is found that the equation of g(x) is given by:

A. g(x) = -x².

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the parent function f(x) = x² was reflected over the x-axis, that is, it was multiplied by -1, hence the equation for g(x) is given by:

g(x) = -f(x) = -x².

Which means that option A is correct.

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If she withdraw $40 to purchase a new pair of shoes, then the function that represent her balance is g(x) = 210 + 10x

The amount that she has in saving account = $250

The amount she deposits in each week = $10

Consider the number of weeks as w

Then the function will be

f(x) = 250 + 10x

Then she withdraw $40 to purchase a new pair of shoes

Then the new function g(x) will be

g(x) = 250 + 10x - 40

Subtract the like terms in the function

g(x) = 250 - 40 + 10x

g(x) = 210 + 10x

Hence, if she withdraw $40 to purchase a new pair of shoes, then the function that represent her balance is g(x) = 210 + 10x

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The solution to the given integral equation is: f(t) = e^t - 1 + t - te^t

To solve the given integral equation using Laplace transform, we first take the Laplace transform of both sides of the equation.

Using the linearity property of the Laplace transform, we have:
L{f(t)} + L{t(t - τ)f(τ)} = L{t}

where L denotes the Laplace transform operator.

We can simplify the second term on the left-hand side using the convolution property of the Laplace transform:
L{t(t - τ)f(τ)} = L{t} * L{(t - τ)f(τ)}

where * denotes convolution. The Laplace transform of (t - τ)f(τ) is:
L{(t - τ)f(τ)} = F(s) - sF(s)

where F(s) is the Laplace transform of f(t). Substituting this in the above equation, we get:
L{t(t - τ)f(τ)} = L{t} * (F(s) - sF(s)) = L{t}F(s) - sL{t}F(s)

Using the Laplace transform of t, we have:
L{t} = 1/s^2

Substituting this in the above equation, we get:
L{t(t - τ)f(τ)} = F(s)/s^2 - F(s)/s = F(s)(1/s^2 - 1/s) = F(s)(1 - s)/s^2

Substituting all these in the original equation and rearranging, we get:
F(s) = s^2/(s^3 - s^2)

To find the inverse Laplace transform of this expression, we can use partial fraction decomposition. Factoring the denominator, we get:
s^3 - s^2 = s^2(s - 1)

Therefore, we can write:
F(s) = s^2/(s^2(s - 1)) = 1/(s - 1) - 1/s + s/(s^2(s - 1))

Taking the inverse Laplace transform of each term using standard Laplace transform tables, we get:
f(t) = e^t - 1 + t - te^t

So the solution to the given integral equation is:
f(t) = e^t - 1 + t - te^t

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A rectangle's length is 5 inches greater than its width. if the perimeter of the rectangle is 42 inches, then the length is 13 inch.

A rectangle is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal; or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.

here, we have,

a rectangle's length is 5 inches greater than its width.

if the perimeter of the rectangle is 42 inches

let, width = x

then, length = x+5

so, perimeter= 2(x+5 +x)

                      = 4x+10

ATQ, 4x+10 = 42

solving we get,

x=8

the length = 13

Hence, A rectangle's length is 5 inches greater than its width. if the perimeter of the rectangle is 42 inches, then the length is 13 inch.

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Answer:

$9.10

Step-by-step explanation:

Answer:

9.10

Step-by-step explanation:

1.95/3=0.65

0.65x14=9.10

a. The three will grow as quickly as 4 inches per month in relationship A.

b. Unit rate (m) = 4.5.

c. Slope (m) = 3.5

d. The tree in relationship C will be the tallest after 6 months.

The slope or unit rate of a linear relationship is the value of m in the equation y = mx + b, where b is the y-intercept and m is the slope.

a. The three grows 4 inches per month in relationship A.

Slope (m) = 4

y-intercept (b) = 5

Equation for relationship A is: y = 4x + 5.

b. Using two points from the table, (0, 3) and (2, 12):

Unit rate (m) = change in y / change in x = (12 - 3) / (2 - 0)

m = 9/2

m = 4.5.

y-intercept (b) = 3

Equation for relationship B is: y = 4.5x + 3

c. Using two points from the line, (0, 10) and (2, 17):

Slope (m) = (17 - 10) / (2 - 0) = 7/2

m = 3.5

y-intercept (b) = 10

Equation for relationship C is: y = 3.5x + 10.

d. Using the equation for each relationship, we have:

After 6 months, the first tree would be: y = 4(6) + 5 = 29 inches.

After 6 months, the second tree would be: y = 4.5(6) + 3 = 30 inches.

Using the graph for C, after 6 months, the second tree would be: 31 inches.

Therefore, the tree in relationship C will be the tallest after 6 months.

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Central tendency, is the term that relates to the way data tend to cluster around some middle or central value.

Measures of central tendency are summary statistics that represent the center point or typical value of a dataset. Examples of these measures include the mean, median, and mode. These statistics indicate where most values in a distribution. Mode in statistics is the number of times a number is repeated. The number which is repeated maximum times in a series of data is known as the modular number. The mode is used to compare data that has extreme figures. Central tendency simply means most scores in a normally distributed set of data tend to cluster near the center of a distribution.

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Answer:

y=5(x-2)+3 or y= 5x+7

Step-by-step explanation:

Answer:its that all sides are parallell

Step-by-step explanation:

because it has two sets of parrallel sides all of them are not paralell

Answer:

All sides are parallel.

Step-by-step explanation:

shapes can't even be made if all the sides are parallel. The angles need to be added up to 360 degrees. There won't even be angles if all the lines are parallel. The opposite sides have to be parallel.

Answer:

9 cups of sugar

Step-by-step explanation:

you do 6/2=3 and then 3X3=9

The absolute error of the measurement 12 yd is 2 yd. It represents the difference between the measured value and the true value, providing a measure of the uncertainty in the measurement.

The absolute error of a measurement is the difference between the measured value and the true or accepted value. To find the absolute error of the measurement 12 yd, you need to know the true or accepted value. Let's assume the true value is 10 yd.

To calculate the absolute error, subtract the true value from the measured value and take the absolute value of the difference. In this case, the absolute error would be |12 yd - 10 yd| = 2 yd.

The absolute error tells us how far off the measured value is from the true value. In this example, the measurement of 12 yd has an absolute error of 2 yd. This means that the actual value could be either 2 yd more or 2 yd less than the measured value. The absolute error gives us a measure of the uncertainty or variability in the measurement.

The absolute error is useful when comparing measurements or evaluating the accuracy of a measurement technique. A smaller absolute error indicates a more accurate measurement, while a larger absolute error indicates a less accurate measurement.

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Answer: 8

Step-by-step explanation:

4x8 gives you 32

Then you subtract:
32-24 =8

Answer:

v = 16 mm

Step-by-step explanation:

since the figures are similar then the ratios of corresponding sides are in proportion, that is

\(\frac{v}{20}\) = \(\frac{28}{35}\) ( cross- multiply )

35v = 560 ( divide both sides by 35 )

v = 16

There are six possible ways a person can choose two balls at random from an urn containing five balls numbered 1, 2, 2, 6, and 6.

To understand how to calculate the number of combinations, let's break it down into two parts: selecting the first ball, and then selecting the second ball. Since there are five balls in the urn, the first ball can be chosen in five possible ways. Then, when selecting the second ball, the number of possible selections is reduced to four because one ball has already been selected. This can be expressed mathematically as: n(A)=5x4.

To calculate the total number of combinations, we then multiply the two numbers: 5x4=20. This result is then divided by two because the order of selection does not matter. As a result, 20/2=10, which means that there are ten possible combinations when choosing two balls at random from the urn. In conclusion, if an urn contains five balls numbered 1, 2, 2, 6, and 6, there are six possible ways a person can choose two balls at random. This can be expressed mathematically as n(A)=6 or n(A)=5x4/2.

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Answer: y=1/5x-7

Step-by-step explanation:

the -7 is where the point starts on the y axis and the 1 represents how many times you count up and then the 5 represents how many times you count to the right from the - 7.

We need to apply the Pythagorean Theorem, which says that the square of the Hypothenuse is equal to the sum of the squares of the cathetus. So we have:

The missing side is equal to 40.

Answer: Minimum; -3

Step-by-step explanation:

I found the answer by entering it into Desmos Graphing Calculator and then looking at the point of the vertex, which in this case would be (9,-3).

You could also find the x-intercepts, (p,0) and (q,0), using the quadratic formula and then plug them into the equation: x=p+q/2  which will give you your axis of symmetry, or your x value in your vertex. Then, plug that number into your equation. You can plug it into the equation you posted here or the equation of your x-intercepts. (x-p) (x-q) Keep in mind that the minus refers to you putting the opposite of your x-intercept. For example, if your x-intercept was 4, then you would have -4 in the equation.

Answer:

I think it is 0 solutions

Step-by-step explanation:

it should be 0 because no matter what number you substitie x for, the right side will always be 9 higher than it, so x never equals x

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