At the gym, Polina put 4 five-pound weights onto a barbell that weighed 22 pounds without any weights on it. If Polina lifted the barbell with both arms, which expression can be used to determine the weight that each arm was lifting?

[(4 × 5) ÷ 2] + 22
(4 × 5) ÷ 2 + 22
[22 + 4 × 5] ÷ 2
22 + (4 × 5) ÷ 2

(a) The fraction of his money spend on a book is 12/40 = 3/10

Money spent on books

3/5 = x/2

3/5 = 40/2

Hence, at a fraction of money is 12/40 = 3/10

(b) Roy has money at first is $40

Roy spent money on game boys = 1/2

He spent money on books = 3/5

Let Roy has money = x

Money on game boys

= 1/2 of x = x/2

Money spent on books

= 3/5 = x/2

= 3x/10

= x/2 - 3x/10

= 5x/10 - 3x/10

= 2x/10

But the remaining money = $8

= x/5 = 8

= x = 40

Therefore, Roy has money at first = $ 40

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If C = 15 , then the values of A and B will be A = 3, B = 5  and equation in standard form is 3x + 5y = 15  .

In the question ,

the equation is given

the equation is Ax + By = C

also given that C = 15 ,

so , Ax + By = 15

From the graph we see that when x = 5 , y = 0

substituting , in Ax + By = 15  , we get

A(5) + B(0) = 15

5A = 15

A = 3 .

also when x = 0 , y = 3

Substituting in Ax + By = 15  , we get

A(0) + B(3) = 15

3B = 15

B = 5

so , the equation in standard form is 3x + 5y = 15   .

Therefore , If C = 15 , then the values of A and B will be A = 3, B = 5     .

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Answer:

1) 3|x|=[0; infinity). there is no infinity sign lol

2) 3|x|= (0; infinity)

The distribution of the length of a word picked at random from a sentence is likely to follow a discrete probability distribution, with the exact distribution depending on the specific sentence and its word composition.

The length of a word can vary, and different sentences may have different word lengths. The distribution of word lengths can be analyzed by counting the occurrences of each word length in the sentence and calculating the probabilities.

For example, in a sentence like "The quick brown fox jumps over the lazy dog," the word lengths range from 3 to 5 letters, with a higher probability for 3 and 4-letter words.

The specific distribution can be determined by calculating the frequencies or probabilities for each word length and examining their relative proportions.

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Let's consider the data below which shows 4 students with their scores on math, verbal, and combined math and verbal tests. Math (x)Verbal (y)Combined (x + y)15201530135  14501480136  15201360134  14601390135  15301500138.

The regression equation for predicting the combined score from the math score is as follows:\hat{y} = 1030 + 7.9x$.If a student scores perfectly on the combined math and verbal test, then y = 1600, so x + y = x + 1600.Substitute in the regression equation as shown below:$1600 = 1030 + 7.9x + \text{error}.Rearrange the above expression to solve for the error which is the residual:

Residual = $1600 - 1030 - 7.9x$ = $570 - 7.9x.

Suppose that a student receives a score of 1600, which is the sum of the math and verbal scores. In this instance, we want to determine the residual for the student's math score. To begin, let's look at the given data. The data shows the scores of four students on math, verbal, and combined math and verbal tests. We need to find the residual for the math score of a student who has received a combined score of 1600.

We have a regression equation, $\hat{y} = 1030 + 7.9x$ for predicting the combined score from the math score. Since the student scored a perfect 1600 on the combined test, we have y = 1600 and x+y = x+1600. Using the regression equation and substituting the values, we can write: \hat{y} = 1030 + 7.9x + \text{error}. We want to find the residual, so we rearrange this equation.

Residual = 1600 - 1030 - 7.9x = 570 - 7.9x. Therefore, the residual is $570-7.9x$ for the math score of a student who has received a perfect combined score of 1600.

The residual of a student's math score who scores a perfect combined score of 1600 (math + verbal) is

570 - 7.9x (where x is the math score) according to the regression equation given in the question.

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The equation of the tangent line to the curve at the point (2, 0.40000) is y = (1 + x²)x + 0.2.

To find the equation of the tangent line to the curve at a given point, we need to determine the slope of the tangent line and the y-intercept. The slope of the tangent line is given by the derivative of the function at the point of tangency.

Given f(x) = 1 + x², we can find the derivative f'(x) by taking the derivative of each term. The derivative of 1 is 0, and the derivative of x² is 2x. Therefore, f'(x) = 2x.

At the point (2, 0.40000), the x-coordinate is 2. Plugging this value into the derivative, we have f'(2) = 2(2) = 4. This value represents the slope of the tangent line at that point.

The equation of a line can be written as y = mx + b, where m is the slope and b is the y-intercept. Substituting the values, we have y = 4x + b.

To find the y-intercept, we substitute the coordinates of the given point (2, 0.40000) into the equation. Plugging in x = 2 and y = 0.40000, we get 0.40000 = 4(2) + b. Simplifying, we find b = -7.6.

Therefore, the equation of the tangent line is y = (1 + x²)x + 0.2, where m = 1 + x² and b = 0.2.

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Answer: y=2.7

Step-by-step explanation:

Since x=9y and  substitution,

plug the 9y in where x is in the equation like so,

9y-5=20

Now get the variable by itself

To do this you add 5 to both sides of the equal sign

5+(-5) cancels out and 20 +5 =25

Now isolate the varaible by dividing  9y from both sides

So, 9y=25

     9/9=1 so you leave it as y

and 25/9 is 2.77777

therefore y=2.7

The length of the rectangle is approximately 41.34 inches.

Let's assume the width of the rectangle is represented by the variable w. According to the given information, the length of the rectangle is four less than twice the width, which can be expressed as 2w - 4.

The perimeter of a rectangle is calculated by adding the lengths of all four sides. In this case, the perimeter is given as 128 inches. Since a rectangle has two pairs of equal sides, we can set up the equation:

2w + 2(2w - 4) = 128.

Simplifying the equation, we get:

2w + 4w - 8 = 128,

6w - 8 = 128,

6w = 136,

w = 22.67.

So, the width of the rectangle is approximately 22.67 inches. To find the length, we can substitute this value back into the expression 2w - 4:

2(22.67) - 4 = 41.34.

Therefore, the length of the rectangle is approximately 41.34 inches.

In summary, the length of the rectangle is approximately 41.34 inches. This is determined by setting up a system of equations based on the given information: the perimeter of the rectangle being 128 inches and the length being four less than twice the width.

By solving the system of equations, we find that the width is approximately 22.67 inches, and substituting this value back, we obtain the length of approximately 41.34 inches.

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Answer:

Yes

Step-by-step explanation:

Answer:

i think you are right

Step-by-step explanation:

The volume of the solid obtained by rotating the region in the first quadrant bounded by the given curve about the y-axis is -16π/15.

The given curve is y = 1 - (x - 5)². Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the given curve about the y-axis.

The equation of the given curve is y = 1 - (x - 5)².

The graph of the curve will be as shown below:

Find the points of intersection of the curve with the y-axis:

When x = 0, y = 1 - (0 - 5)² = -24

When y = 0, 0 = 1 - (x - 5)²(x - 5)² = 1x - 5 = ±1x = 5 ± 1

When x = 4, y = 1 - (4 - 5)² = 0

When x = 6, y = 1 - (6 - 5)² = 0

The limits of integration are 4 and 6.

Volume of the solid obtained by rotating the region in the first quadrant bounded by the given curve about the y-axis is given by:

V = ∫\(a^b \pi y^2\) dx

Where a and b are the limits of integration.

The solid is rotated about the y-axis, hence the method of disks is used to find the volume of the solid obtained by rotating the region in the first quadrant bounded by the given curve about the y-axis.

Let the radius of the disk be y, and thickness be dx, then the volume of the disk is given by:

dV = πy² dx

The limits of integration are 4 and 6.

Volume of the solid obtained by rotating the region in the first quadrant bounded by the given curve about the y-axis is given by:

V = ∫\(a^b \pi y^2\) dx

= ∫\(4^6\) π(1 - (x - 5)²)² dx

= π ∫\(4^6\) (1 - (x - 5)²)² dx

= π ∫\(-1^1\) (1 - u²)² du[where u = x - 5]

=-2π ∫\(0^1\) (1 - u²)² du[using the property of definite integrals for even functions]

= -2π ∫\(0^1\) (1 - 2u² + u⁴) du

= -2π [u - 2u³/3 + u⁵/5]0¹

= -2π [(1 - 2/3 + 1/5)]

= -2π [8/15]

= -16π/15

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When resolving an inequality, you can, add the same amount to each side, take away the same amount from each side, multiply or divide each side by the same positive amount.

The complete question is,

How do you resolve an inequality equation?

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Answer:

E

Step-by-step explanation:

(leg of big triangle)² = (part of hypotenuse below it) × (whole hypotenuse)

15² = x × 20

225 = 20x ( divide both sides by 20 )

\(\frac{225}{20}\) = x , that is

x = \(\frac{45}{4}\) → E

The value of the x in the given triangle is 45/4.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

Given is right triangle ABC, divided into two more right triangles, ADC and ADB, also, triangle ABD ~ triangle CAD.

Therefore, according to the definition of similar triangles, the corresponding sides are in proportion.

we have,

CA / CB = CD / CA

15/20 = x/15

x = 15²/20

x = 225/20

x = 45/4

Hence, the value of the x in the given triangle is 45/4.

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(a) Limitations: Assumes reversible process, constant heat capacity.

(b) Limitations: Assumes constant T and P, and independent DH and DS with temperature.

(c) Limitation: Assumes non-expansion conditions, may not account for volume changes in real scenarios.

The factors of 14 are the numbers that divide evenly into 14. The factors of 14 are 1, 2, 7, and 14.

The first factor of 14 is 1. Every number can be divided by 1, so 1 is a factor of every number. The second factor of 14 is 2. This is because 14 divided by 2 equals 7. The third factor of 14 is 7. Seven times two is equal to 14. The fourth factor of 14 is 14. This is because 14 divided by 14 is equal to 1.

Factors are important when solving math problems. They are also important when looking at patterns and sequences in math. Knowing the factors of a number can help to identify patterns and sequences, and can also help solve equations and inequalities. Knowing the factors of a number can also help to find the greatest common factor of two or more numbers.

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Answer:

Step-by-step explanation:

to increase 5.3 you multiply it with 10

Answer:

B

Step-by-step explanation:

The inequality is 1.20$ x + 3.60 < 9.60, the amount of money in total that Rammy has. As said, for each pound of peaches it would cost 1 dollar and 20 cents (1.20) So for the gallon of milk if Rammy bought it he would have 6$ left to spend on the pounds of peaches. So you do 6$ (600) divided by 1.20$  (120) and you would get 5 pounds of peaches. Therefore, Rammy can buy 5 or more pounds of peaches.

Answer:

17 Which means they are equal

All you have to do is replace n in the equasion.

Step-by-step explanation:

3(5) - 1(5) + 7

=17

2(5) + 10 - 3

=17

The three functions that need to be ordered so that each one is Big-Oh of the next one are given below : log n2n4 log n nlog The correct order of these functions would be: nlog(n) << n^(1/2) << n^2 << n^(log(n)) << 2^n

Justification: To determine the order of these functions, let's first compare log n2 with n. As n tends to infinity, n increases much faster than log n2. Thus, n is the Big-Omega of log n2. We can write it as: log n2 = O(n).Next, let's compare n with 4 log n.

For large values of n, the term 4 log n is much smaller than n. Therefore, we can say:n = O(4 log n)Next, we need to compare 4 log n with nlogn. Using logarithmic identities, we can write 4 log n as log n^4. Now, let's compare this with nlogn:log n^4 = 4 log n = O(n log n)

Hence, we can say that 4 log n is Big-Oh of nlogn. Now, we need to compare nlogn with n^(logn). One way to compare these two functions is to take their ratio and see what happens as n tends to infinity: lim n→∞ (nlogn / n^(logn))= lim n→∞ (n^logn / n^(logn))= lim n→∞ n^0= 1

Thus, we can say that nlogn is Big-Oh of n^(logn).

Hence, the correct order of these functions is:log n2 << n << 4 log n << nlogn << n^(logn).

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The height of the rectangular pyramid is 16 units.

To find the height of the rectangular pyramid, we can use the formula for the volume of a pyramid:

Volume = (1/3) * base area * height

Given that the volume of the rectangular pyramid is 512 units^3, and the length of the rectangular base is 8 units and the width is 12 units, we can find the base area:

Base Area = length * width = 8 * 12 = 96 units^2

Now we can substitute the values into the volume formula:

512 = (1/3) * 96 * height

To solve for the height, we can isolate it by multiplying both sides of the equation by 3/96:

512 * 3/96 = height

Simplifying the right side of the equation:

16 = height

The rectangular pyramid is 16 units tall as a result.

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Answer:

1/12

Step-by-step explanation:

1/2*1/6=1/12 =0.0834 = 8.33%

The  interval notation  of x^(2 )-2x-35>0  is (-∞,-5)∪(7,∞).

To solve the quadratic inequality x^(2)-2x-35>0, we first need to find the roots of the quadratic equation x^(2)-2x-35=0. We can do this by factoring the equation:

(x-7)(x+5)=0

The roots of the equation are x=7 and x=-5. Now, we can use these roots to determine the intervals where the inequality is true. We can do this by testing values in each interval:

- For x<-5, let's test x=-6: (-6)^(2)-2(-6)-35=1>0, so the inequality is true in this interval.
- For -57, let's test x=8: (8)^(2)-2(8)-35=29>0, so the inequality is true in this interval.

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Answer:

8\(\pi\)

Step-by-step explanation:

area=\(\pi\)\(r^{2}\)

\(\pi\)\(4^{2}\)

16\(\pi\)

since it is a semicircle, cut that number in half.

Answer:

25.12units squared

Step-by-step explanation:

A = \(\frac{\pi r^2}{2}\) or \(\frac{3.14r^2}{2}\)

r = 4

3.14 x 4^2 = 50.24

50.24/2 = 25.12

Answer:

60 on delta math

Answer:

60

Step-by-step explanation:

delta math answer

Answer:

10x-2+2x+18

=10x+2x+18-2

=12x+16

Answer:8x-16

Step-by-step explanation:

The intercept of the line on the y-axis  is at 4. Option C

To determine the intercept of the line on the y-axis , we have;

First, the formula representing the general equation of a line is expressed as;

y = mx + c

This is so such that the parameters of the line is expressed as;

From the diagrams shown, we have to trace the line to where it intercepts with the y-axis, we have;

The intercept is at 4

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Answer:

6,309,020 in words is "six million, three hundred nine thousand, twenty."

please make me brainalist

six million three hundred nine thousand twenty

Depending on whether the movement is along the x-axis or the y-axis, the ordered pair would be either (0.25, 0) or (0, 0.25).

To plot an ordered pair starting from the origin and moving 0.25, we need both an x-coordinate and a y-coordinate.

We are starting from the origin (0, 0), we can apply the movement of 0.25 to either the x-axis or the y-axis.

If we move 0.25 units on the x-axis, the x-coordinate of the ordered pair would be 0.25, and the y-coordinate would remain 0 since there is no movement on the y-axis. Therefore, the ordered pair would be (0.25, 0).

Similarly, if we move 0.25 units on the y-axis, the x-coordinate would remain 0 since there is no movement on the x-axis, and the y-coordinate of the ordered pair would be 0.25. In this case, the ordered pair would be (0, 0.25).

So, depending on whether the movement is along the x-axis or the y-axis, the ordered pair would be either (0.25, 0) or (0, 0.25).

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