Noah said, "Division always results in a smaller number. When you divide a number by a second number, the result will always be smaller than the first number."

Jada said, "I disagree. I think the result can be larger or smaller, depending on the number you are dividing by."

Do you agree with Noah or Jada?

LaTeX: 20\div420÷4 results in a number
[ Select ]
20.

LaTeX: 20\div\frac{1}{4}20÷14 results in a number
[ Select ]
20, so
[ Select ]
is correct.

If ÐABC and ÐCBD are a linear pair, then it means that their sum is 180°.

Linear pair of angles are angles formed when two lines intersect each other at a single point.

Now, the angles are also said to be linear if they are adjacent to each other after the intersection of the two lines and the sum of the linear pair of angles is always equal to 180°.

Looking at the definition above we can say that if ÐABC and ÐCBD are a linear pair, then it means that their sum is 180°.

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Answer:

x = 56

Step-by-step explanation:

DAR is a straight line so it equals 180 degrees

DAB + BAC + CAF = DAF

64+ x+60 = 180

Combine line terms

124+x =180

x = 180-124

x = 56

Answer:

Infinite many solutions

Step-by-step explanation:

9d − 8 = –8 + 9d

* add 8 to each side *

-8 + 8 cancels out

-8 + 8 cancels out

we're left with 9d = 9d

When the same number/variable is on each side of the equal sign there is an infinite amount of solutions

A 95% confidence interval for the true mean of the time females spend on homework and the time males spend on homework can be constructed. The 95% confidence interval for the true mean amount of time females spend on homework and the true mean amount of time males spend on homework is (2.01 minutes, 72.81 minutes).

To construct the confidence interval, we first calculate the standard error of the difference in means. The formula for the standard error is:

SE = sqrt[(s1^2 / n1) + (s2^2 / n2)],

where s1 and s2 are the sample standard deviations, and n1 and n2 are the sample sizes. Plugging in the given values, we have:

SE = sqrt[(70.54^2 / 34) + (38.41^2 / 16)]

= sqrt[(4981.6116 / 34) + (1478.5881 / 16)]

= sqrt[146.5142 + 92.4118]

= sqrt(238.926)

Next, we calculate the critical value from the t-distribution corresponding to a 95% confidence level with degrees of freedom equal to the smaller sample size minus 1. With 16-1 = 15 degrees of freedom, the critical value is approximately 2.131.

Now, we can calculate the margin of error by multiplying the standard error by the critical value:

ME = 2.131 * sqrt(238.926)

≈ 9.193.

Finally, we can construct the confidence interval by adding and subtracting the margin of error from the difference in sample means:

CI = (x1 - x2) ± ME,

= (79.56 - 46.25) ± 9.193,

= 33.31 ± 9.193,

≈ (24.12, 42.50).

Therefore, with a 95% confidence level, we can say that the true mean amount of time females spend on homework is between 2.01 minutes and 72.81 minutes more than the true mean amount of time males spend on homework.

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Check the picture below.

so we're really looking for the equation of the red line hmmm, so hmmm is a bisector, that means it passes through the midpoint of that segment, so

\(~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{7}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{9}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ -1 +7}{2}~~~ ,~~~ \cfrac{ 9 +5}{2} \right) \implies \left(\cfrac{ 6 }{2}~~~ ,~~~ \cfrac{ 14 }{2} \right)\implies (3~~,~~7)\)

now, hmmm keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the segment above

\((\stackrel{x_1}{7}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{9}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{9}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{7}}} \implies \cfrac{4}{-8}\implies -\cfrac{1}{2}\)

now let's find the slope of a perpendicular to that one

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-1}{2}} ~\hfill \stackrel{reciprocal}{\cfrac{2}{-1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{2}{-1}\implies 2}}\)

so, we're really looking for the equation of a line that passes through the midpoint (3 , 7) and that it has a slope of 2

\((\stackrel{x_1}{3}~,~\stackrel{y_1}{7})\hspace{10em} \stackrel{slope}{m} ~=~ 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{7}=\stackrel{m}{ 2}(x-\stackrel{x_1}{3}) \\\\\\ y-7=2x-6\implies {\LARGE \begin{array}{llll} y=2x+1 \end{array}}\)

Answer:

w=58 degrees

Step-by-step explanation:

The sum of all angles in a triangle should add up to 180 [ its a fact]

and the square-like shape inside the triangle represents the fact that that angle is 90 degrees.

So, we can make an equation

32+90+w=180

122+w=180 [if u add 32+90, u'll get 122]

w=180-122 [subtract 122 from both sides to isolate "w"]

w=58

True, on a number line 7.29 and -7.29 represent the same point as they have the same absolute value but opposite signs.

On a number line, the position of a point is determined by its distance from a reference point, usually zero. Positive numbers are to the right of the reference point, and negative numbers are to the left.

In this case, the two numbers given are 7.29 and -7.29. Since they have the same absolute value (i.e., distance from zero), they are equidistant from the reference point and lie on opposite sides of it. Therefore, On the number line they represent the same point.

Hence, the statement "On a number line 7.29 and -7.29 are the same point" is true.

On a number line, the positions of points are determined solely by their distance from the reference point, not their sign. Thus, any two numbers with the same absolute value but opposite signs represent the same point on the number line. Therefore, in this case, 7.29 and -7.29 are the same point.

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Answer:

Distance D = √ [(2 - x)^2 + (3 - 4x^3)^2].

Step-by-step explanation:

Use the distance formula:

D = √[(x2 - x1)^2 + (y2 - y1)^2].

So here it is

D = √[(2 - x)^2 + (4 - y)^2]    where x,y is any point on the curve.

D = √[2 - x)^2 + (4 - (4x^3 + 1))^2]

D = √ [(2 - x)^2 + (3 - 4x^3)^2]

answers

the answers is 6

1)The expression 4x^2-16x+12/x^2-9 is undefined when the denominator, x^2-9, equals zero because division by zero is undefined.

x^2-9 equals zero when x equals 3 or x equals -3. Therefore, the expression is undefined at x = 3 and x = -3. In all other cases, the expression is defined.

2) The given expression is:

(5-2x)/(x+2) + x^2/(x^2-4) - 5

To simplify this expression, we need to first find the LCD (least common denominator) of the two fractions. The denominator of the first fraction is x+2, and the denominator of the second fraction is x^2-4, which can be factored as (x+2)(x-2). So the LCD is (x+2)(x-2). Now we can rewrite the expression with this common denominator:

[(5-2x)(x-2) + x^2(x+2) - 5(x+2)(x-2)] / [(x+2)(x-2)]

Expanding the brackets and simplifying, we get:

(-x^3 - 3x^2 - 3x + 5) / [(x+2)(x-2)]

This expression is undefined when the denominator, (x+2)(x-2), equals zero because division by zero is undefined.

(x+2)(x-2) equals zero when x equals -2 or x equals 2. Therefore, the expression is undefined at x = -2 and x = 2. In all other cases, the expression is defined.

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Answer:

1600 readers

Step-by-step explanation:

80*100=8000

5*n=5n

8000/5=1600

n=1600

Amount $593.84 will be in the account after five years.

According to the question we have been given that the

 amount invested initially = $500

annual interest rate = 0.035

 Time = 5 years.

The formula for the future value is given as

         \(FV = a(1 + r)^{t}\)        (1)

where , FV = future value

              a = amount invested initially

               r = annual interest rate

              t = time

putting the required values in equation (1) we get

       \(FV = 500 (1 + 0.035)^{5} \\FV = 500 ( 1.035)^{5}\)

       FV = 500*1.188

       FV = $ 593.84

Thus, $593.84 will be the amount in the account after five years.

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The arc length of the sector is 7.065 approximately 7.1 cm. Then the correct option is D.

It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

The central angle of π/2 radians in a circle with a radius of 4.5 cm.

Then the arc length will be

\(\rm Arc \ length = \dfrac{\pi /2}{2 \pi} * 2*\pi * 4.5\\\\\\Arc \ length = \dfrac{1}{2} * 3.14*4.5\\\\\\Arc \ length = 7.065\)

Then the arc length is 7.065 approximately 7.1 cm. Then the correct option is D.

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Answer:

D is the answer

Step-by-step explanation:

No Reason just try it out

In the first question, the statement "Using logarithmic differentiation we obtain that the derivative of the function y = x² satisfies the equation y = 4x log x + 2x" is true.

In the first question, using logarithmic differentiation on the function y = x², we differentiate both sides, apply the product rule and logarithmic differentiation, and simplify to obtain the equation y = 4x log x + 2x, which is correct.

In the second question, the statement is false. When using logarithmic differentiation on the function y = (1+x²)²(1 + sin x)²/(1-x²), the derivative is calculated correctly, but the equation given is incorrect. The correct equation after logarithmic differentiation should be y' = (4x/(1 + x²)(1 + sin x))(1-x²) - (2x(1+x²)²(1 + sin x)²)/(1-x²)².

In the third question, the product z²w is calculated correctly as 30-10%.

It is important to accurately apply logarithmic differentiation and perform the necessary calculations to determine the derivatives and products correctly.

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Answer: w=5

Step-by-step explanation:

C) there is a 5% probability of rejecting a false null hypothesis

Simply put, probability is the likelihood that something will occur.

When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

Testing hypotheses is a crucial component of empirical research and evidence-based medicine. A well-developed hypothesis is only half the solution to the research problem. Working understanding of fundamental statistical principles is preferred for this, as well as subject-specific knowledge gleaned through a thorough survey of the literature.

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Answer:

1. B. 78.50 cm2

2. In this question 2 options are same, A and B, one of the options may be 50.72 cm2. And this the correct answer.

3. C. A = π²r

The ratios that could be the lengths of the two legs in a 30-60-90 triangle are √3:3 (option E) and 12√3 (option D).

In a 30-60-90 triangle, the angles are in the ratio of 1:2:3. The sides of this triangle are in a specific ratio that is consistent for all triangles with these angles. Let's analyze the given options to determine which ones could be the ratio between the lengths of the two legs.

A. √2:√2

The ratio √2:√2 simplifies to 1:1, which is not the correct ratio for a 30-60-90 triangle. Therefore, option A is not applicable.

B. 15

This is a specific value and not a ratio. Therefore, option B is not applicable.

C. √√√√5

The expression √√√√5 is not a well-defined mathematical operation. Therefore, option C is not applicable.

D. 12√3

This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which simplifies to √3:3. Therefore, option D is applicable.

E. √3:3

This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which is equivalent to √3:3. Therefore, option E is applicable.

F. √2:√5

This ratio does not match the ratio of the sides in a 30-60-90 triangle. Therefore, option F is not applicable. So, the correct option is D. 1 √2.

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Answer:

Dalton spent 6 years and 11 months in high school.

Step-by-step explanation:

Dalton were in high school at the age = 11 years and 3 months                       He left high school at the age = 18 years and 2 months

Time spent by Dalton in high school = 18 years 2 months - 11 years and 3 months

= (18 - 11) years and (2 - 3) months

= 7 years - 1 month

= (6 + 1) years - 1 month

= 6 years + 1 year - 1 month

= 6years + 12 months - 1 month

= 6 years + 11 months

Therefore, Dalton spent 6 years and 11 months in high school.

-412 degrees is equivalent to -0.907571 radians.

To convert -412 degrees to radians, we need to use the formula:

\(radians = (\pi/180) \times degrees\)

where pi is the mathematical constant pi (approximately 3.14159) and degrees is the angle in degrees that we want to convert.

First, we need to handle the negative sign.

A negative angle means that we are rotating in the opposite direction, which is equivalent to adding 360 degrees to the angle.

So, we can add 360 to -412 to get:

-412 + 360 = -52

Now, we can use the formula to convert -52 degrees to radians:

\(radians = (\pi/180) \times (-52)\)

radians = -0.907571

Therefore, -412 degrees is equivalent to -0.907571 radians.

To understand this conversion in more detail, it is important to understand what degrees and radians are.

Degrees are a unit of measurement for angles, where a full circle is divided into 360 equal parts. Radians are another unit of measurement for angles, where a full circle is divided into \(2\pi\) (or approximately 6.28) equal parts.

One radian is the angle subtended at the center of a circle by an arc that is equal in length to the radius of the circle.

Converting between degrees and radians is important in many areas of mathematics and physics, particularly when dealing with trigonometric functions such as sine, cosine, and tangent.

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Answer:

c

Step-by-step explanation:

5x-10=-10

5x=-10+10

5x=0

x=0/5

x=0

Answer:

2 is the equivalent to the expression

Answer: 15

Step-by-step explanation:

first you would subtract -69 by positive 420 to get 15

Answer:

i am sorry i am no se

peack englis

a. given

b. given

c. definition of supplementary angles

d. definition of same-side interior angles

e. converse of same-side interior angles theorem

Answer:  E, A, D, C, B

Step-by-step explanation:

First, we need to get y alone. So we will add 7 to the side of the equation that has the 4y in it.

So the first one will be.

Add 7 to both sides of the equation.

Now the second one is

4y = 25 + 7  Because what you do to one side of the equation, you do to the other. So we add 7 to 25.

Then the 3rd one will be 4y = 32  because 25+7 is equal to 32. But we still have that 4y on the other side of the equation. So the next equation is 4y = 32.

The second to last step is Divide both sides by 4  because thats

how you isolate y. So once you divide both sides by 4. You will get 8. Leading you into the next and final step.

Y = 8

And thats how you do it!

Answer:

A (35%)

Step-by-step explanation:

Just divide what you want to find with the total. Does not have chocolate = 7. Total Lime = 20 (13 + 7) 7/20 = 0.35/35%

The projected percentage for 2060 is nearly double from 52 million in 2018 to 95 million by 2060.

Given in 1970, about 10 percent of the u.s. population was age 65 and older.

Demographic Shifts

The number of Americans ages 65 and older is projected to nearly double from 52 million in 2018 to 95 million by 2060, and the 65-and-older age group's share of the total population will rise from 16 percent to 23 percent. The older population is becoming more racially and ethnically diverse.

Hence the answer is the projected percentage for 2060 is nearly double from 52 million in 2018 to 95 million by 2060.

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The beta of the portfolio, considering $1 with a beta of 3% and $2 with a beta of 7% and a weight of 0.1 (w1), is 6.6%.


The beta of a portfolio measures its sensitivity to overall market movements. To calculate the beta of a portfolio, we need the individual asset weights and betas of each asset. Given that $1 has a beta of 3% and $2 has a beta of 7%, with a weight of 0.1 (w1), we can determine the beta of the portfolio.

To calculate the beta of the portfolio, we use the following formula:

β(portfolio) = (w1 * β1) + (w2 * β2) + ...

In this case, the portfolio contains two assets, so the formula becomes:

β(portfolio) = (w1 * β1) + (w2 * β2)

Substituting the given values:

β(portfolio) = (0.1 * 3%) + (0.9 * 7%)

β(portfolio) = 0.3% + 6.3%

β(portfolio) = 6.6%

Therefore, the beta of the portfolio is 6.6%.

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Answer:

The difference is meaningful because the means are separated by about 3 MADs.