. If m∠1 = 50°, find the following: a. m∠2 = ? b. m∠3 = ? c. m∠4 =

Answer:

2.3

Step-by-step explanation:

because its asking you what the opposite of -2.3 is so it would be a positive instead of a negative  

Answer:

The answer would be 2.3

The opposite of a negative is a positive, and vice versa

Step-by-step explanation:

Hope this helps

13 inches is the combined amount of snow for December and January.

Addition in maths, a process of combining two or more numbers.

Given that, In December, it snowed 10 inches. In January, it snowed 3 inches.

10+3 = 13

Hence, 13 inches are the combined amount of snow for December and January.

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Answer:

D

Step-by-step explanation:

this equation is equivalent to y = -28, which is horizontal so it has a slope of 0

The domain and range of the function f(x)=28 is Domain: All real numbers Range: {-28}. The correct option is D.

The given function f(x)=-28 has a domain of all real numbers because the function can take any value of x. But, the range of the function is only -28. This is because for any input(x) the value of the function will remain the same which is equal to -28.

Hence, the domain and range of the function f(x)=28 is Domain: All real numbers Range: {-28}.

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Answer: Choice C

The interquartile range (IQR) for brand A, $10, is less than the IQR for brand B, $20.

===========================================================

Explanation:

Let's go through the answer choices one by one to see which is true and which is false. Also, we'll see which is helpful when it comes to the spread.

----------------------

Choice A

The IQR is found by subtracting the values of Q1 and Q3, which are the left and right edges of the box in that order.

For boxplot A, we have an IQR = Q3-Q1 = 80-70 = 10.

So we can immediately rule out choice A because the IQR for boxplot A is not 20, but instead it's 10.

----------------------

Choice B

The statement made in choice B is true, since the center vertical lines represent the median, but it's not useful to determine the spread. The median only tells us the center of the distribution. It doesn't tell us how spread out the distribution is.

Imagine you didn't have access to the graph. Now if you're told that the median for brand A is larger than brand B's median, then you'd probably think boxplot A is more spread out; however, the boxplot diagram shows the opposite is the case.

So again the median isn't used here. We can rule out choice B.

----------------------

Choice C

This statement is true. We subtract the box edge values to get the IQR values for each boxplot

For brand A we have IQR = Q3-Q1 = 80-70 = 10

For brand B we have IQR = Q3-Q1 = 70-50 = 20

This is the answer we're after.

The IQR is one tool we can use to measure the spread. The range is another option. We could also use the variance or the standard deviation (two slightly similar ideas) to measure the spread.

As you can see from the diagram, the larger the IQR, the more spread out the data will be.

----------------------

Choice D

This is false because earlier we've shown 10 is the IQR for brand A.

Answer:

48cm^2

Step-by-step explanation:

base × height=8cm×6cm=48cm^2

Answer:

Area=24cm²

Step-by-step explanation:

\(Solution,\\\\Base(b)=8cm\\\\Height(h)=6cm\\\\Area=\frac{1}{2}* b*h\\\\Area=\frac{1}{2} *8cm*6cm=24cm^{2} .\)

Answer:

your work is not clearly taking sorry i can't see

The equation of an ellipse with x-intercepts at (4, 0) and (-4, 0), y-intercepts at (0, 9) and (0, -9), and center at (0, 0) is \($\frac{x^2}{16}+\frac{y^2}{81}=1$$\).

As per the given data the ellipse with x-intercepts at (4, 0) and (-4, 0), y-intercepts at (0, 9) and (0, -9), and center at (0, 0).

If the ellipse has its x-intercepts at points (4, 0) and (-4, 0) and y-intercepts at points (0, 9) and (0, -9), then it's symmetric across the y- axis and the x-axis.

The equation of an ellipse where the major axis 2a is greater than the minor 2b.

When 2b > 2a , then the equation becomes \($\frac{(y-h)^{2} }{b^{2} } + \frac{ (x-k)^{2} }{a^{2} } =1\)

Moreover h = 0 and k = 0 because the center is on the origin, so the equation becomes:

\($\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\)

Moreover,

a = 4

b = 9

The equation of the such ellipse is

\($\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\)

Hence, the equation of the ellipse is

\($\frac{x^2}{4^2}+\frac{y^2}{9^2}=1\)

\($\frac{x^2}{16}+\frac{y^2}{81}=1$$\)

Therefore the equation of an ellipse is  \($\frac{x^2}{16}+\frac{y^2}{81}=1$$\).

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Find the equation of the ellipse with the following properties. The ellipse with x-intercepts at (4, 0) and (-4, 0), y-intercepts at (0, 9) and (0, -9), and center at (0, 0).

By sοlving the equatiοn, x is apprοximately equal tο 4.

An equatiοn is a mathematical statement that shοws that twο expressiοns are equal. It cοnsists οf twο sides separated by an equals sign (=).

Tο sοlve fοr x in the equatiοn:

91 =3ˣ + 10

We can first isοlate the expοnential term οn οne side οf the equatiοn by subtracting 10 frοm bοth sides:

81 =3ˣ

Nοw we can use lοgarithms tο sοlve fοr x. Taking the natural lοgarithm οf bοth sides, we have:

ln(81) = ln(3ˣ)

Using the lοgarithmic identity that ln(3ˣ) = b ln(a), we can simplify the right-hand side:

ln(81) = x ln(3)

x = ln(81) / ln(3)

x = ln(3⁴) / ln(3)

x = 4*ln(3) / ln(3)

x = 4

Therefοre, x is apprοximately equal tο 4.

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I would choose Firm 1 for the repair work. Although Firm 1 has a slightly higher mean repair time, its lower standard deviation indicates more consistent and reliable repair times.

To determine which firm to choose for the repair work based on the acceptable range of repair time, we need to compare the performance of both firms in meeting the required time range.

Firm 1:

Mean repair time (μ1) = 74 minutes

Standard deviation (σ1) = 4 minutes

Firm 2:

Mean repair time (μ2) = 72 minutes

Standard deviation (σ2) = 5.1 minutes

To make a decision, we can consider two aspects: the mean repair time and the variability of repair time.

1. Mean Repair Time:

Both firms have mean repair times within the acceptable range of 50 to 90 minutes. Firm 1 has a slightly higher mean repair time of 74 minutes compared to Firm 2 with 72 minutes. However, the difference is not substantial.

2. Variability of Repair Time:

To evaluate the variability, we can consider the standard deviation. A smaller standard deviation indicates less variability in repair times.

Comparing the standard deviations, Firm 1 has a lower standard deviation of 4 minutes compared to Firm 2 with 5.1 minutes. This suggests that Firm 1 has less variability in their repair times.

Based on these considerations, I would choose Firm 1 for the repair work. Although Firm 1 has a slightly higher mean repair time, its lower standard deviation indicates more consistent and reliable repair times. This can provide more assurance that the repair time will fall within the acceptable range consistently, meeting the company's requirements.

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The amount of money you have in your account after years 1, 2, 3, and 4 are $102.25, $204.5, $306.75 and $409 respectively.

Interest is the price you pay to borrow money or the cost you charge to lend money. Interest is most often reflected as an annual percentage of the amount of a loan.

Given that, you have 100 dollars in your bank account, and you earn 2.25% interest per year.

We need to find the amount of money you have in your account after years 1, 2, 3, and 4 years

Find for Simple interset :-

Simple interset = PRT / 100

P = Principal amount, r = rate and  t = year

For 1 year, put t = 1

A = 100×1×2.25 / 100 + 100

= $102.25

To find the amount for 2nd, 3rd and 4th year, just multiply these numbers to the interset earned in 1st year,

For 2 year,

A = $102.25×2

A = $204.5

For 3 year,

A = $102.25×3

A = $306.75

For 4 year,

A = $102.25×4

A = $409

Hence, the amount of money you have in your account after years 1, 2, 3, and 4 are $102.25, $204.5, $306.75 and $409 respectively.

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Answer:

AD= 2.57

Step-by-step explanation:

14/6 = 6/x

14x/6 = 6

14x = 6×6

14x = 36

x = 36/14

x = 2.57

Answer:

-60

Step-by-step explanation:

-46-14=-60

Answer:

-46-14=-60

Step-by-step explanation:

The table would be filled by the following;

1) Not a real number

2) Not a real number

3) 0

4) 8

An expression or equation that specifies the operation or operations applied to the input to produce the output is the common format for a function rule. It illustrates the mathematical relationship between the input and output, or independent and dependent variables.

We have the rule;

f(x)=√x+9

1) √(-22) + 9 - Not a real number

2) √(-18) + 9 Not a real number

3) √(-9) + 9 = 0

4) √55 + 9 = 8

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Answer:

The most common form of explicit proof in high school geometry is two column proof consists of various five parts they are; the given, the proposition, the statement column, the reason column, and the diagram ( if its given).

Answer:

Proofs contain given information and a statement to be proven. You use deductive reasoning to create an argument with justification of steps using theorems, postulates, and definitions. Then you arrive at a conclusion.

Step-by-step explanation:

The measure of the interior angle is 180 - 40 or 140 because each exterior angle and the matching interior angle form a linear pair.

Angle is a geometric figure formed by two rays that have a common endpoint, called the vertex. Angles are measured in degrees, with 360° in a full circle. Angles are used in math, physics, and engineering to measure lengths, angles, and directions. Angles are also used in everyday life to describe a direction or position, such as when we say something is “at an angle”.

There are nine congruent exterior angles on the a convex regular nonagon. 9n = 360, n equals the total of all external angles, and n = 40. each side by nine. Each external angle is 40 degrees in size.

The measurement of the interiors angle is 180 - 40 or 140 because each exterior angle and the matching interior angle form a linear pair.

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The Hall's Marriage Theorem holds, and there exists a perfect matching of the men and women on the island so that everyone is matched with someone they are willing to marry.

The Hall's Marriage Theorem.

Let there be m men and w women on the island.

It is possible to match them so that everyone is matched with someone they are willing to marry.

First, we need to prove that for any subset S of men on the island, the number of women that they are collectively willing to marry is at least |S|k.

Let S be any subset of men on the island.

Since every man is willing to marry exactly k women, the number of women that any single man is willing to marry is k.

The number of women that S collectively is willing to marry is at least |S|k.

Next, we need to prove that for any subset T of women on the island, the number of men that they are collectively willing to marry is at least |T|k.

Let T be any subset of women on the island.

Since every woman is willing to marry exactly k men, the number of men that any single woman is willing to marry is k.

The number of men that T collectively is willing to marry is at least |T|k.

Now, we need to show that the Hall's Marriage Theorem holds.

That is, we need to show that for any subset S of men on the island, the number of women that they are collectively willing to marry is at least |S|, and for any subset T of women on the island, the number of men that they are collectively willing to marry is at least |T|.

Suppose, for the sake of contradiction, that there exists a subset S of men on the island such that the number of women that they are collectively willing to marry is less than |S|.

Then, by the first proof, the number of women that they are collectively willing to marry is at least |S|k. Since |S|k < |S|, this leads to a contradiction.

Similarly, suppose there exists a subset T of women on the island such that the number of men that they are collectively willing to marry is less than |T|.

Then, by the second proof, the number of men that they are collectively willing to marry is at least |T|k. Since |T|k < |T|, this leads to a contradiction.

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The given function is a linear function because variable have first degree power.

The terms "linear function" in mathematics refer to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.

The graph of a linear function is a straight line. The following is the form of a linear function. a + bx = y = f(x). One independent variable and one dependent variable make up a linear function. X and Y are the independent and dependent variables, respectively.

A linear function is a function that represents a straight line on the coordinate plane. As an illustration, the equation y = 3x – 2 represents a linear function because it is a straight line in the coordinate plane.

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Answer:

Material one (2:25)

Step-by-step explanation:

Given that:

Lycra:Other material

2:25

3:40

Now, change it to the form of 1:n:

2:25 = 1:12.5

3:40 = 1:13.33

Now write proportions for each of them:

1:12.5 = 1/13.5

1:13.33 = 1/14.33

Now compare:

1/13.5 > 1/14.33

Hope this helps good luck

The level can be attained  by light reflections.

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Answer:

A = a/2^2 + b/2^2          where b = 26 - a     (a/2 and b/2 sides of square)

A = a^2 / 4 + 1/4 (a^2 - 52 a + 676)

4 * A= 2 a^2 - 52 a + 676

4 dA / da =4 a - 52 = 0

Area will be minimized when   a = 13 and b = 13

Check:  

 n A

13 13 0 84.5

12 14 1 85

11 15 2 86.5

10 16 3 89

9 17 4 92.5

8 18 5 97

7 19 6 102.5

6 20 7 109

5 21 8 116.5

4 22 9 125

3 23 10 134.5

2 24 11 145

1 25 12 156.5

0 26 13 169

Answer:

100

Step-by-step explanation:

because it is directly proportional so 4 times ten is 40 and 10 times 10 is 100

pls mark brainliest it would really help me out

The value of x is 42.

To determine the value of x, we need to analyze the given information regarding the scale factor between Figure A and Figure B.

The scale factor is expressed as the ratio of the corresponding side lengths or dimensions of the two figures.

Let's assume that the length of a side in Figure B is represented by 'x'. According to the given information, Figure A is a scale copy of Figure B with a scale factor of 2/7. This means that the corresponding side length in Figure A is 2/7 times the length of the corresponding side in Figure B.

Applying this scale factor to the length of side x in Figure B, we can express the length of the corresponding side in Figure A as (2/7)x.

Given that the length of side x in Figure B is 12, we can substitute it into the equation:

(2/7)x = 12

To solve for x, we can multiply both sides of the equation by 7/2:

x = (12 * 7) / 2

Simplifying the expression:

x = 84 / 2

x = 42

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Y can be written as the sum of y_proj and z, where y_proj is in W and z is orthogonal to W.

To write y as the sum of a vector in W and a vector orthogonal to W, we can use the following formula: y = y_proj + z, where y_proj is the projection of y onto W and z is orthogonal to W.

To find y_proj, we first need to find the projection of y onto u1 and u2, which are the basis vectors of W. Let's call these projections y_proj_u1 and y_proj_u2, respectively.

y_proj_u1 = (y • u1) / ||u1||² * u1
y_proj_u2 = (y • u2) / ||u2||² * u2

Next, we add these projections together to find y_proj:

y_proj = y_proj_u1 + y_proj_u2

Finally, we find the vector z orthogonal to W by subtracting y_proj from y:

z = y - y_proj

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The newborn death rate is calculated by dividing the number of newborn deaths by the number of live births and multiplying by 100.

The newborn death rate, also known as the neonatal mortality rate, is a critical indicator used in public health to assess the health and well-being of newborns. It is calculated by dividing the number of newborn deaths within a specified period by the number of live births during the same period and then multiplying the result by 100.

This calculation is performed to express the newborn death rate as a percentage, making it easier to interpret and compare across different populations or time periods. By dividing the number of deaths by the number of live births, we obtain the proportion of newborns who die within a certain timeframe. Multiplying this proportion by 100 provides the rate per 100 live births, which allows for a standardized measure of comparison.

The newborn death rate is a crucial statistic in assessing the quality of healthcare services, identifying areas with high mortality rates, and monitoring the effectiveness of interventions aimed at reducing neonatal deaths. It serves as a vital tool for policymakers, healthcare professionals, and researchers in evaluating and improving newborn health outcomes.

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Answer: x= 24-3c over 2 (\frac{24-3c}{2})

Step-by-step explanation:

Answer:i belive the answer should be 8800 dollars a year

Step-by-step explanation:

500000/25000

= ans  X  440

Hence r=1.11

What is compound interest?

When interest is calculated by taking compound interest formula  which is \(A = P(1 + r/n)^{nt}\)

where p is principal ,r is rate of interest , t is time , n of time compounded

How to calculate?

\(A = P(1 + r/n)^{nt}\)

given P=25000, A=500000,t=4 years n=1

\(500000 = 25000(1 + r)^{4}\)

2.11=1+r

r=1.11

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The ratio of cups of mixed nuts to cups of granola is 2:11.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0

Given:

Rolled oats= 6 cups

Mixed nuts=2 cups

Sesame seeds=1/2 cup

Cranberries= 1 cup

Dried unsweetened coconuts=1

Honey =1/2 cup

As, the ingredients listed

Total cups of granola= Rolled oats + Mixed nuts + Sesame seeds + Cranberries + Dried unsweetened coconuts + Honey

=6 + 2 + 1/2 + 1 + 1 + 1/2

=11 cups

Hence, the ratio of cups of mixed nuts to cups of granola is 2:11.

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The complete question is

Granola 6 cups rolled oats 2 cups mixed nuts 1 2 cup sesame seeds 1 cup dried cranberries. What is the ratio of cups of mixed nuts to the total number of cups of granola? The ratio of cups of mixed nuts to cups of granola is to . 1 cup dried unsweetened coconut 1 2 cup honey

Answer:

3.5/1.5 or 14/6

Step-by-step explanation:

equivalent

The dot plots is an illustration of charts and graphs

The average score of period 7 is greater than the average score of period 1

From the dot plots in the complete question, we have the following frequency tables

Period 1                                                          Period 7

Score     Students                                          Score     Students

55           1                                                         65           1

70           1                                                         75           3

75           6                                                         80         5

80           6                                                         85         6

85           2                                                         90         3

90           3                                                         95        2

95           1                                                                

The average is calculated using:

\(\bar x = \frac{\sum fx}{\sum f}\)

For period 1, we have:

\(\bar x_1 = \frac{55 * 1 + 70 * 1 + 75 * 6 + 80 * 6 + 85 * 2 + 90 * 3 + 95 * 1}{1 + 1 + 6 + 6 + 2 + 3 + 1}\)

Evaluate the sum

\(\bar x_1 = \frac{1590}{20}\)

Evaluate the quotient

\(\bar x_1 = 79.5\)

For period 7, we have:

\(\bar x_7 = \frac{65 * 1 + 75 * 3 + 80 * 5 + 85 * 6 + 90 * 3 + 95 * 2}{1 + 3 + 5 + 6 + 3 + 2}\)

Evaluate the sum

\(\bar x_7 = \frac{1660}{20}\)

Evaluate the quotient

\(\bar x_7 = 83\)

By comparison, 83 is greater than 79.5

Hence, the average score of period 7 is greater than the average score of period 1

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