0/1 Julio plans a diet to gain 0.2 kg a day. After 14 days he weighs 40 kg. The number days he diets and his weight are related. How much does Julio weigh the day he starts his diet?

Answer:

No, because the Y's are repeating.

Step-by-step explanation:

(X, Y)

(-3, 0)

(-2, 3)

(1, -2)

(5, 3)

Answer:

\(x>-11\)

Step-by-step explanation:

\(10+2x>-12\)

Subtract both sides by 10

\(10+2x-10>-12-10\\2x>-22\)

Divide both sides by 2

\(\frac{2x}{2}>\frac{-22}{2} \\x>-11\)

I hope this helps!

Answer:

x > -11

Step-by-step explanation:

A measurable part of a line that consists of two points, called endpoints, and all of the points between them are called Line sigments.

Geometry is a branch of mathematics that deals with how objects can be expressed as relationships of points, lines, planes, surfaces, and dimensions. When we draw lines in geometry, we use an arrow at each end to show that it expands infinitely. A line is a path between two points that can be measured. Since line segments have a defined length, they can form the sides of any polygon. The figure below shows the line AB, where the length of the line AB is related to the distance between its endpoints, A and B. The symbol for the line is named after its two endpoints, e.g.

\( \bar{AB}\)

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Answer:

The sketch tool to indicate what Edwin is describing as the parabola's "turning point'' is described below in details.

Step-by-step explanation:

We can see in graph that it intersect X axis and it is open upward it means turning point is below X axis, we can find turning point by find maximum value of Y If open downward and minimum value, if open upward here we can find that minimum point is (3, -5). also you can draw axis of symmetry parabola and finds its intersection with turning point can also be named vertex of parabola.

The sampling technique being used is a combination of stratified sampling and cluster sampling.

In this scenario, the sampling process involves multiple stages. Let's break it down:

By combining stratified sampling at the state level and cluster sampling at the college/university level, this approach allows for efficient sampling while still maintaining some level of representation and variation. It helps ensure that undergraduates from different states and colleges/universities are included in the final sample.

The sampling technique used in this scenario is a combination of stratified sampling and cluster sampling. This multi-stage approach helps select a representative sample of undergraduate students from different states and colleges/universities in the United States.

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Answer:

The mean is: 19

Step-by-step explanation:

Add all of those numbers up (133)

Divide it by the total amount of numbers (7)

133÷7=19

Answer:

Mean: 19 | Median: 12 | Mode: 33 | Range: 31

Step-by-step explanation:

It will help you find any mean: https://www.calculators.org/math/mean-median-mode.php

The image that shows 1/6 divided by 3 would have a result of 1/18

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

1/6 divided by 3

The images are not given

However, the expression can be solved

So, we have

1/6 divided by 3

Express as products

1/6 divided by 3 = 1/6 * 1/3

Evaluate the products

1/6 divided by 3 = 1/18

Hence, the result is 1/18

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Numbers are 36, 22

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra. Algebra is used in mathematics when you do not know the exact number in a calculation.

Given

One number is 14 more than another and their sum is 58.

Let one number be x

Another number will be x + 14

Rewriting the equation in mathematical form

⇒ \(n+ (n+4) =58\)

⇒ \(2n +14 =58\)

⇒ \(2n = 58-14\)

⇒ \(2n=44\)

⇒ \(n= \frac{44}{2}\)

⇒ \(n=22\)

⇒ \(n+14=22+14=36\)

Hence, numbers are 36, 22

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Answer:

the correct answer is the second one

Step-by-step explanation:

I will add a photo of my solution, because there's a lot to type here

Answer:

SAS similarity theorem

Step-by-step explanation:

Both the triangles are similar by SAS similarity theorem.

Answer:

f(x) = 9x - 18

Step-by-step explanation:

Moving the graph to the left or right involves directly manipulating the "x" value. When you want to shift the graph to the right, you need to subtract the desired value directly from "x". This would make the equation look like this:

f(x) = 9(x - 2)

However, this can be simplified by multiplying 9 by each term in the parentheses.

f(x) = 9x - 18

Answer:

13

Step-by-step explanation:

Answer:

22 ways.

Step-by-step explanation:

Answer:

I only want free points

Step-by-step explanation:

Thank you for the free points.

Answer:

Step-by-step explanation:

How much was the tip in dollars? $7.77

How much was the tip as a percentage of the bill? 18.5%

This means that when all 8 parts are arranged in a single row, probability there are 28 different conceivable configurations. Finley can have 4 red and 4 black, 5 red and 3 black, 6 red and 2 black, or 7 red and 1 black, depending on the quantity of red and black pieces.

Finley features eight game pieces, each of which is entirely either all red or all black and simply differs in colour. This indicates that there are 28 distinct configurations that may be made using the 8 pieces arranged in a single row. Finley could have 4 red and 4 black, 5 red and 3 black, 6 red and 2 black, or 7 red and 1 black, depending on the quantity of red and black pieces. This is due to the fact that the 8 pieces can be arranged in a variety of ways, and each arrangement will be deemed distinct as long as it contains at least one red and one black piece. For instance, the configuration could be as follows if there are 4 red and 4 black pieces: If there are four red pieces and four black pieces, for instance, the arrangement might be either black-red-black-red-black-red-red or red-black-red-black-red-black. No matter the configuration, there are a total of 28 arrangements.

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Answer:

\(y=7\)

Step-by-step explanation:

\(5+\frac{1}{3}(9y-12)=\frac{5}{6}(y+18)+\frac{1}{6}y\)

\(5+(3y-4)=(\frac{5}{6}y+15)+\frac{1}{6}y\)

\(5+3y-4=\frac{5}{6}y+15+\frac{1}{6}y\)

\(1+3y=y+15\)

\(3y=y+14\)

\(2y=14\)

\(y=7\)

A proposition is a statement that is either true or false. In this case, the proposition states that if b does not divide ac, then b does not divide c.

To prove this proposition, we will assume that b does not divide ac and try to show that b does not divide c.
Let us begin by using the definition of divisibility.

If b divides ac, then there exists an integer k such that b = akc. We can rewrite this equation as b = (ak)c. Since a, b, and c are all integers, then (ak) is also an integer.

This means that if b divides ac, then b also divides c.
Now, let us assume that b does not divide ac.

This means that there does not exist an integer k such that b = akc.

We want to show that b does not divide c, so we will assume the opposite and show that it leads to a contradiction.
Suppose that b divides c.

Then there exists an integer m such that c = bm.

We can substitute this expression for c into the original equation and get b = a(bm). Since a, b, and c are all integers, then (bm) is also an integer.

This means that b divides ac, which contradicts our initial assumption.
Therefore, we have shown that if b does not divide ac, then b does not divide c.

This proposition is important in number theory and has applications in various fields of mathematics.

It is a useful tool for proving other propositions and theorems related to divisibility and prime numbers.

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The proposition you've provided is a statement about divisibility in the integers. Specifically, it states that if we have three integers a, b, and c, and b does not divide the product ac, then b also does not divide c.

This statement can be proven using a proof by contradiction. Suppose that b divides ac but does not divide c. Then we can write ac = bk and c = dj, where k and j are integers and d is the greatest common divisor of b and c (which we know exists by the Euclidean algorithm). Substituting the second equation into the first, we get ajd = bkd, which implies that b divides aj.

Now we can write aj = bl for some integer l, which implies that c = dj = (aj)/d = (bl)/d = (b/d)l. But this contradicts the assumption that b does not divide c, since b/d is a divisor of b. Therefore, we must conclude that if b does not divide ac, then b does not divide c.

Proposition: Suppose a, b, c ∈ Z (meaning a, b, and c are integers). If b does not divide ac, then b does not divide c.

Proof:

Step 1: Suppose b does not divide ac. This means that there is no integer k such that ac = bk.

Step 2: We want to prove that b does not divide c. To prove this, we will use a proof by contradiction. Let's assume the opposite, that b does divide c.

Step 3: If b does divide c, there exists an integer m such that c = bm.

Step 4: Since a, b, and m are all integers, we can multiply both sides of c = bm by a to get ac = abm.

Step 5: Now, we have ac = abm, which implies that b divides ac, as abm is a multiple of b.

Step 6: This contradicts our initial assumption that b does not divide ac. Therefore, our assumption that b divides c must be false.

Conclusion: If b does not divide ac, then b does not divide c.

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Answer:

triangle 4.

Step-by-step explanation:

A translation only moves vertically or (and) horizontally our image.

This means that a translation does not change the size

A translation does not rotate the image.

Then a translation of triangle 1 needs to have the same size than triangle 1, and the same "direction" (in triangle 1 we can see that the hypotenuse is at the right side, then in the translated triangle we also should have the hypotenuse at the right side).

Then the only option that seems correct is triangle 4

Answer: Which figure is a translation of figure 1? figure 4

Step-by-step explanation: correct on edge 2021

Answer:

69 mph

Explanation:

The equation that represents this situation is:

We are required to determine Brian's average speed on the return drive.

To do this, we first find the value of x.

Using the value of x, we find the average speed on the return drive.

Therefore, the average speed on the return drive will be 69 mph.

The moment generating function (mgf) and characteristic function (cf) of the chi-squared distribution with parameters m and mσ2 are given by:

mgf(t)=exp(mt−2mσ2t2​)

cf(ω)=exp(imω−2mσ2ω2​)

The moment-generating function of a random variable X is a function that describes the expected value of etX for all real numbers t. The characteristic function of a random variable X is a function that describes the expected value of eiωX for all real numbers ω.

The mgf and cf of the chi-squared distribution can be derived using the following steps:

Let Y1​, Y2​,..., and Ym​ be independent random variables, each with a standard normal distribution.

Let X=Y12​+Y22​+...+Ym​.

The mgf of X is given by:

mgf(t)=E[etX]=E[et(Y12​+Y22​+...+Ym​)]

Using the independence of the Yi​, we can factor the mgf as follows:

mgf(t)=E[etY12​]E[etY22​]...E[etYm2​]

The mgf of a standard normal random variable is given by:

E[etYi2​]=2π​1​∫−∞∞​etξ2dξ=exp(−2t​)

Substituting the mgf of a standard normal random variable into the expression for the mgf of X, we get the following:

mgf(t)=(exp(−2t​))m=exp(−2mt​)

The characteristic function of X is given by:

cf(ω)=E[eiωX]=E[eiω(Y12​+Y22​+...+Ym​)]

Using the independence of the Yi​, we can factor the characteristic function as follows:

cf(ω)=E[eiωY12​]E[eiωY22​]...E[eiωYm2​]

The characteristic function of a standard normal random variable is given by:

E[eiωYi2​]=2π​1​∫−∞∞​eiωξ2dξ=exp(−2ω2​)

Substituting the characteristic function of a standard normal random variable into the expression for the characteristic function of X, we get the following:

cf(ω)=(exp(−2ω2​))m=exp(−2mω2​)

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The general solution to the given differential equation is, z = ln|C3 e^(-7e^t)|

To solve the given differential equation, we need to use the method of separation of variables.

First, we rearrange the equation by moving dz/dt to one side and e^(t+z) to the other side

dz/dt = -7e^(t+z)

Next, we separate the variables by dividing both sides by e^(t+z)

1/e^(z) dz = -7e^t dt

Now we integrate both sides

∫ 1/e^(z) dz = -7 ∫ e^t dt

Integrating the left-hand side requires a substitution

Let u = e^z, then du/dz = e^z = u, so dz = du/u

Substituting this into the left-hand side

∫ 1/u du = ln|u| + C1

where C1 is an arbitrary constant of integration.

Integrating the right-hand side gives

-7 ∫ e^t dt = -7 e^t + C2

where C2 is another arbitrary constant of integration.

Substituting these integrals back into the original equation, we get

ln|e^z| + C1 = -7 e^t + C2

Simplifying, we have

z = ln|C3 e^(-7e^t)|

where C3 is a positive constant, defined as C3 = e^(C1-C2).

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Answer:

3

Step-by-step explanation:

HJ = 9 and IJ = 6.

HJ = HI + IJ

9 = HI + 6

HI = 9-6=3

The length of each leg in the 45-45-90 triangle is 27.

In a 45-45-90 triangle, the two legs are congruent, which means they have the same length. Let's call the length of each leg "x".

According to the Pythagorean theorem, in any right triangle, the sum of the squares of the legs is equal to the square of the hypotenuse. In this case, we can write:

\(x^2 + x^2 = (2\sqrt14)^2\)

Simplifying the right side, we get:

\(2x^2 = 4(14)\)

\(2x^2 = 56\)

Dividing both sides by 2, we get:

\(x^2 = 28\)

Taking the square root of both sides, we get:

x = ±√28

We can simplify √28 by factoring it into √4 and √7, since 4 is a perfect square:

x = ±√(4*7)

x = ±(2√7)

Since x represents the length of a side of a triangle, it cannot be negative, so we take the positive value:

x = 2√7

Therefore, each leg of the 45-45-90 triangle is 2√7.

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Answer:

The answer to your problem is, A. The Allstars, with a mean of about 67.1 inches

Step-by-step explanation:

Allstars mean height:

= (73 + 62 + 60 + 63 + 72 + 65 + 69 + 68 + 71 + 66 + 70 + 67 + 60 + 70 + 71) / 15

= 1007 / 15

= 67.6 inches

Super Stars mean height:

= (66 + 68 + 62 + 63 + 47 + 64 + 65 + 50 + 60 + 64 + 65 + 65 + 58 + 60 + 55) / 15

= 912 / 15

= 60.2 inches

We can see that the Allstars team has a higher mean height than the Super Stars team, with an average of 67.6 inches compared to 60.2 inches. Therefore, the Allstars team typically has the tallest players

Thus the answer to your problem is, A. The Allstars, with a mean of about 67.1 inches

We can find the distance of the man from the wall as long as we know the time (t) he has been walking.  The answer is not completely defined without t.

Given that a sidewalk is perpendicular to a long wall, and a man walks along it away from the wall at a rate of 5 feet per second. We have to include the conclusion of the statement.

Proceeding further, Let's assume the man starts from point A which is closest to the wall.

He walks away from the wall and let's say he stops at a point B on the sidewalk.

Now, consider AB as the shortest distance between the man and the wall.

So, as per the given information, we know that the sidewalk is perpendicular to the long wall.

Hence, AB is perpendicular to the long wall.

Let CB be the wall. In triangle ABC, we have

               AC² + CB² = AB² (By Pythagoras theorem)

Now, let's say the man takes t seconds to reach point B.

Distance covered by him = 5t ft.

Therefore, AB = 5t ft (as the man walks along the sidewalk away from the wall at a rate of 5 feet per second).

Now, let's consider the wall (CB).

As per the question, CB is a long wall.

Hence, it goes up to infinity.

Hence, its length can be considered as very large (compared to AB) and we can neglect it.

So, AB² = AC² + CB²,

then AC² = AB² - CB²

       = (5t)² - CB²

We can say that the Length of the wall does not affect the man's speed.

As he is walking on the sidewalk and not along the wall, the man's speed is not dependent on the length of the wall.

He can only go as far as the end of the sidewalk.

So, the conclusion is that we can find the distance of the man from the wall as long as we know the time t he has been walking.  The answer is not completely defined without t.

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The amount that will accumulate by the end of the sixth and final payment is approximately $41,666.60.

To calculate the accumulated amount by the end of the sixth and final payment, we can use the future value of an ordinary annuity formula:

Future Value = Payment × Future Value of an Ordinary Annuity Factor

The payment is $5,800, and the interest rate is 9%. Since the payments are made at the end of each year, we can use the future value table for an ordinary annuity at 9%.

Looking up the factor for 6 years at 9% in the future value table, we find it to be 7.169858.

Now we can calculate the accumulated amount:

Future Value = $5,800 × 7.169858 = $41,666.60

Therefore, the amount that will accumulate by the end of the sixth and final payment is approximately $41,666.60. The correct answer is not among the options provided.

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Answer:

1/4

Step-by-step explanation:

Calculate the frames of each month:

January = 350

February = 100

March = 250

April = 300

Solve

\(\frac{March}{Total} = \frac{250}{350 + 100 + 250 + 300} = \frac{250}{1000}\)

Simplify

\(\frac{250}{1000} = \frac{25}{100}= \frac{1}{4}\)