Each graph shows a relation. The first and second numbers of each ordered pair in the relation are members of the set of real numbers. In each case, find the domain and the range of the relation and determine whether the relation is a function.

The value of the ERA is the 3.75.

According to the statement

We have to find that the value of the ERA.

So, For this purpose, we know that the

ERA is the number which represents the average number of earned runs given up by the pitcher per nine innings.

From the given information:

First, we are given the formula E * i = 9 * r.

Second, we are asked to resolve for E. If i doesn't equal zero, then we are able to divide both side of this equation by i. (Note that i = the quantity of innings pitched, which isn't zero.) We then have the equation E = (9 * r) / i.

Third, we are given some numerical values for our variables, and asked to use this equation to unravel for E.

Substituting r = 15 (earned runs allowed) and that i = 36 (innings pitched) into the equation and that we have

E = (9 * 15) / 36 = 3.75  (rounded to the closest hundredth)

So, The value of the ERA is the 3.75.

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Answer:

Approximately [tex]36^{\circ}[/tex], assuming that the tree is upright.

Step-by-step explanation:

Refer to the diagram attached. The upright tree and its shadow are in a right triangle. In this right triangle, the angle of elevation of the sun would be the angle adjacent to the shadow of this tree. At the same time, this angle would be opposite to the side representing the tree. Thus, the tangent of this angle could be represented as:

[tex]\begin{aligned}\tan(\text{angle of elevation}) &= \frac{\text{opposite}}{\text{adjacent}} \\ &= \frac{10\; \text{yard}}{14\; \text{yard}} \\ &= \frac{5}{7}\end{aligned}[/tex].

Take the arctangent of this value to find the measure of this angle:

[tex]\begin{aligned} (\text{angle of elevation}) &= \arctan(\tan(\text{angle of elevation})) \\ &= \arctan\left(\frac{5}{7}\right) \\ &\approx 0.620 \times \frac{360^{\circ}}{2\, \pi} \\ &\approx 36^{\circ}\end{aligned}[/tex].

Thus, the angle of elevation of the sun at this moment would be approximately [tex]36^{\circ}[/tex].

Answer:

$94.10

Step-by-step explanation:

$76.10 + $18.00 = $94.10

Answer:

IV i think

Step-by-step explanation:

Step-by-step explanation:

at the beginning it is in quadrant III.

that means in the bottom left quadrant (where all x and all y are negative).

the reflection over the x-axis brings it up into quadrant II (upper left quadrant).

the line y = x is the line that goes like a 45° diagonal from the bottom left to the top right.

when reflecting our figure over this line, it brings it from quadrant II into quadrant IV (the bottom right quadrant).

and now, a 90° clockwise rotation moves it by one quadrant in clockwise direction. that brings it back into quadrant III.

Answer:

  (b)  8 cm

Step-by-step explanation:

You want to know the length of segment LN with midpoint M and the length of LM given as 4 cm.

The segment addition theorem tells you the length of a line segment is equal to the sum of the lengths of its parts.

  LN = LM +MN

The hash marks on segments LM and MN mean those segments have the same length. Then the sum is ...

  LN = (4 cm) +(4 cm) = 8 cm

The length of segment LN is 8 cm.

Answer: 9 oranges

Step-by-step explanation:1.04/4=0.26

1 orange =0.26

2.34/0.26=9 oranges

Answer:

$2.86

Step-by-step explanation:

1.04 divided by 4 is 0.26 per orange. So 0.26 times 11 is 2.86

Please give brainliest

If 114 kids were seated in the stall, just 21% of the seats were filled.

If 117 youngsters were seated in the circles, then yes, more than 60% of the seats were filled.

A third of the kids were seated in the stalls.

if there are 117 kids who can fit in the stalls.

Given that 3/4 of the children had chairs in the stall and x children, we have:

3/4*x = 3/4x.

There were 117 kids in the 3/4 portion.

= 3/4 of x = 117

= 3x/4 = 117

3x =117 x 4

3x = 468

x = 156 kids overall.

39 kids sat in the circle, compared to 117 in the stalls.

The number of adults to children was 5:2, which equals 5+2 to 7.

Use the ratio of children to represent as y and the total number of individuals to determine. So, here we are

2/7 of y = 156

2y/7 = 156

2y = 156x7

2y= 1092

y = 546

In all, 546 persons are present, and 546 of the 2600 seats are occupied by them. We now have:

546 / 2600 = 0.21 = 21%.

If there were 117 kids in the circle, there would be 117 x 4 = 468 kids (total number of children)

Consequently, considering the ratio: 2/7 of y = 468 = 2y = 468x7

2y = 3276

y= 1,638

There are therefore 1,638 individuals present in all, and 1,638 of the 2600 seats are occupied by them. We now have:

1638 / 2600 = 0.63 = 63%.

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The set (A∩C)' is {1, 3, 5, 6, 7}.

Simply said, a set in mathematics is a grouping of different items. Any group of objects, such as a collection of numbers, days of the week, different kinds of cars, etc., can be included in a set. An element of the set is any component of the set. When writing a set, curly brackets are utilized. An extremely basic set might look somewhat like this. Set A = {1,2,3,4,5}. The components of a set can be represented using a variety of notations. Typically, sets are represented by a set builder form or a roster form.

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Answer:

13

Step-by-step explanation:

salu grt it

Answers to both the given expressions are the same that is 25 and both answers are positive.

So,

Similarly,

Hence, we can say that the answers to both the expressions are the same and both have positive answers.

Therefore, the answers to both the given expressions are the same that is 25 and both answers are positive.

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According to the given statement

Combined total profit (in dollars) TechWiz made from MP3 and DVD players last week is (7x+2268)

Total Profit is the sum of the following amounts (before taxes): I the amount received by Grantee pursuant to Issuer's repurchase of the Option (or any portion thereof) pursuant to Section 7; (x) the amount received by Grantee pursuant to Issuer's repurchase of Option Shares pursuant to Section 7 less (y) the Grantee's purchase price for such Option Shares; and (x) the net cash amounts received by Grantee pursuant.

According to the given value;

Number of Number of MP3 = X

Number of Number of DVD,= (126-x)

so

Profit from MP3 = 35 x

Profit from DVD = 18 (126-x)

Total = 35X+18 (126-x)

= 35x +2268-18x

= (7x+2268)

Hence,Combined total profit (in dollars) TechWiz made from MP3 and DVD players last week is (7x+2268).

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Answer: 10$

Step-by-step explanation: 15 divided by 3 is 5. 5 times 2 is 10. Therefore, the answer is 10 $

Answer:

0.11578947368 mil/min

Step-by-step explanation:

11/95=0.11578947368

Answer:

8.6 miles

Step-by-step explanation:

95 mins divided by 11 miles= amount of minutes per mile

The LARGEST interior angle of the triangle has a measure of 92 degrees.

The sum of the interior angle of a triangle is 180 degrees.

Given the data in the question;

Let x represent the measure of the first two angles.

Since they have same measurements.

Since the sum of the interior angle of a triangle is 180 degrees.

m∠1 + m∠2 + m∠3 = 180°

x + x + x+48 = 180

3x + 48 = 180

3x = 180 - 48

3x = 132

x = 132/3

x = 44°

Measure of the largest angle will be;

Measure of angle 3 = x + 48 = 44 + 48 = 92°

Therefore the LARGEST interior angle of the triangle has a measure of 92 degrees.

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Answer:

Subtract 7 (from both sides)

Step-by-step explanation:

The goal is to get x by itself.  The first step in this equation to accomplish that would be to get the term having the variable on one side and the constant(s) on the other.

The domain for this relation is {1,3} and the range for this relation is {2}.

According to the question, the given domain and range of the relation is as follows:

The domain for this relation is : {0, 1, 3}

The range for this relation is : {-2, 1, 2}

As per definition, the domain is the set of all possible values which a function take as an input.

Therefore, the domain for this relation is : {1, 3}

And the range for this relation is: {2}

Hence, the domain for this relation is {1,3} and the range for this relation is {2}.

What is domain and range of a function?

The domain is the set of all the possible values which a function can take as an input. And the range is also the set of paired values which represent the output of a function.

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The solution for the equation m + ( ¼ ) < -1 ( 2/5 ) is m < -1 ( 13/20 )

Given,

The equation: m + ( ¼ ) < -1 ( 2/5 )

We have to solve this:

m + ( ¼ ) < -1 ( 2/5 )

Subtract (1/4) from both sides:

That is,

m + ( ¼ ) – ( ¼ ) < -1 ( 2/5 ) – ( ¼ )

Here, ( ¼ ) – ( ¼ ) becomes 0.

Then,

m + 0 < -1 ( 2/5 ) – ( ¼ )

m < -1 ( 18-5 / 20 )

m < -1 ( 13/20 )

That is, the solution for the equation m + ( ¼ ) < -1 ( 2/5 ) is m < -1 ( 13/20 )

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2 lines that are parallel are (D) J and L.

So, plot all 4 lines on the graph (refer to the graph attached below).

Therefore, 2 lines that are parallel are (D) J and L.

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Answer:

It's A, 6.86 × 10⁴

Step-by-step explanation:

In scientific notation, you have the base, and the 10. The 10 is represented next to an exponent, whereas the base is a whole number and a decimal. If the decimal is moved right, the exponent following the 10 becomes negative. Left, it becomes positive. In this instance, the decimal is being moved left, thus the exponent is positive.

Answer:

A

Step-by-step explanation:

All my work is provided in the attached Screenshot! :)

hi

f(x) = -5x – 3,

then f(-6) =  -5 (-6) -3

               =   -11 -3

               = -14

Answer:

Initial temp is 20 degrees C

Function shows decay

Temp changes by 97% every minute

Step-by-step explanation:

The temperature as a function of time is:

C(t)=20(0.97)[tex]t^{2}[/tex]

when t = 0, C(0) = 20(0.97)0, or -20(1) = 20C

The temperature changes by 0.97, or 97% every minute.

The amount in the account after 60 years is $719.

His saving has not tripled after 60 years.

What is compound interest?

Compound interest is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods.

We have,

Principal = $395

Rate = 1%

Number of years = 60

The amount compounded quarterly is given by:

A = P [ 1 + (R/4)/100 [tex]]^{4n}[/tex]

P = principal

R = rate

n = number of years

A = 395 [ 1 + 1/400 [tex]]^{4 \times{60}}[/tex]

A = 395 [ 1 + 1/400 [tex]]^{240}[/tex]

A = 395 [ 1 + 0.0025 [tex]]^{240}[/tex]

A = 395 [ 1.0025 [tex]]^{240}[/tex]

A = 395 x 1.8207549953165

A = 719.19625

A = $719

Thus the amount in the account after 60 years is $719.

His saving has not tripled after 60 years.

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The probability that X is more than 3 i.e. P(x > 3) is 0.945

The given parameters are

The probability that X is more than 3 can be calculated using the following equation

P(x <= 3) + P(x > 3) = 1

So, we have

P(x > 3) = 1 - P(x <= 3)

This gives

P(x > 3) = 1 - P(0) - P(1) - P(2) - P(3)

The individual probabilities are calculated using

P(x) = C(n,x) * p*x * (1 -p)^(n-x)

So, we have

P(0) = C(10,0) * 0.6^0 * (1 -0.6)^(10 - 0) = 0.0001

P(1) = C(10,1) * 0.6^1 * (1 -0.6)^(10 - 1) = 0.00157

P(2) = C(10,2) * 0.6^2 * (1 -0.6)^(10 - 2) = 0.01062

P(3) = C(10,3) * 0.6^3 * (1 -0.6)^(10 - 3) = 0.04247

So, we have

P(x > 3) = 1 - 0.0001 - 0.00157 - 0.01062 - 0.04247

Evaluate

P(x > 3) = 0.945

Hence, the probability that X is more than 3 is 0.945

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The relation that is a function is relation (b)

The ordered pairs in the option represent the given parameters

For a relation (i.e. the ordered pairs) to be a function, the following must be true:

Each y value on the ordered pair must have exactly one x value

i.e. no x value must point to the different y value

Having said that the relation that is a function is relation (b)

Hence, the the relation that is a function is relation (b)2

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Answer:

0.6

Step-by-step explanation:

0.24 divided by 0.4 equals to 0.6.

[tex]0.24 \div 0.4 = 0.6[/tex]

Answer:

0.6

Step-by-step explanation:

The range could be written in inequality form will be:

-2500 ≤ x ≤ -100.

Living in the deep sea are slitsnails. It is assumed that they inhabit depths ranging from 100 to 2500 feet.

Let x represents the distance between the water and the surface.

The depth will decrease as we sink further into the water.

Therefore, the depth could range from 100 to 2500 feet.

The maximum depth is 2500 feet, and the lowest depth should be 100 feet.

So, the range could be expressed as follows in inequality form:

-2500 ≤ x ≤ -100.

Hence the required compound inequality is framed.

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Answer:

Carrier B

Step-by-step explanation:

The linear equation that represents Carrier B is y=55x+300. it's a linear equation so 55 represent the monthly fee and 300 represents the initial fee. So the initial fee of carrier B is 300. In case of Carrier A, the total cost increases by $150 as months increases by 3. So The initial fee of Carrier A is 500-150=$350 . Hence, Carrier B has lower initial fee.

Answer:

Step-by-step explanation:

Step 1: Define

Point (2, 8)

Point (-6, -8)

Substitute in points [SF]:    m= -8-8/-6-2            

[Fraction] Subtract:    m=-16/-8                          

[Fraction] Divide:        m=2

The slope of the line joining points (2, 8) and (-6, -8) is 2.

A straight line is a line plotted on the Cartesian plane. The line is generally written in the form y = mx + c, where m is the slope and c is the intercept of the straight line. The slope of the line can be obtained by using many formulae but if two points are given then the following formula is used:

[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex].

The given points are (2, 8) and (-6, -8).

So, [tex]x_1 = 2, y_1 = 8, x_2 = -6,[/tex] and [tex]y_2 = -8[/tex].

The formula to find the slope of the straight line is

[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]

   [tex]= \dfrac{-8-8}{-6-2} \\= \dfrac{-16}{-8}\\= \dfrac{16}{8}\\= 2[/tex]

Therefore, the slope of the given line is 2.

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The complete question is as follows:

Use the formula m = [tex]\dfrac{y_2 - y_1}{x_2 - x_1}[/tex] to find the slope of the line joining points (2, 8) and (-6, -8).