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Answers

Answer 1

Answer:

5) The midrange is 19.5ºF

6) The midrange is 67.5º

Explanation:

The problem tell us how to calculate the midrange.

In (5) the minimum and maximum values are given (-6ºF and 45ºF, respectively). Using the formula:

[tex]Midrange=\frac{-6+45}{2}=\frac{39}{2}=19.5ºF[/tex]

In (6), we need to find the minimum and maximum values from a list of them. We can see that the minimum is 58º and the maximum 77º

Then:

[tex]Midrange=\frac{58+77}{2}=\frac{135}{2}=67.5º[/tex]


Related Questions

You are redecorating your room and the only thing left to paint is your door. You're onlygoing to paint the side that faces the inside of your room. The door is 6 feet 10 inchestall and 30 inches wide. You need to know the surface area of the side of the door todetermine how much paint to buy. The hardware store sells paint by how much coversa square foot. What is the surface area of the garage door? Round your answer to thenearest square foot. (Hint: 1 square foot = 144 square inches) (gridded response)

Answers

The roblem tells us that a door needs to be painted on only one side that measures 6 ft and 10 in height by 30 in wide.

We need to find the area to be painted in order to buy the appropriate quantity of paint. The answer has to be given in square feet at the end.

We start by recalling that the door is represented by a rectangle, and the area of such is given by the height times the wid

Which relation below is not a function

Answers

Answer:

0,0

Step-by-step explanation:

Two numbers can not equal another number

Algebra 2 The answer choices are: A. -3 less then or equal to x less then or equal to 6B. -4 less than x less then or greater to 1C. X greater than or equal to 1D. X greater to or equal to 6

Answers

Given:

A graph is given.

Required:

Find the interval of the domain that the graph of exponential function represents.

Explanation:

The graph of the exponential function is given as:

Use the formula V=lwh and A=bg to complete the table below by evaluating the expression

Answers

we have that

the formula to calculate the area of a rectangle is equal to

A=L*W

we have

L=8.3 cm

W=4 cm

substitute

A=(8.3)*(4)

A=33.2 cm2

therefore

Formula A=L*W

Expression A=(8.3)*(4)

Solve A=33.2 cm2

what is the volume of a pipe that has a diameter of 8 meters and a height of 3 meters of water, round to the nearest tenth

Answers

The pipe is in the form of cylinder.

[tex]\begin{gathered} d\text{ = 8 m} \\ r\text{ = 4 m} \\ h\text{ = 3 m} \end{gathered}[/tex]

The volume of the pipe is calculated as,

[tex]\begin{gathered} \text{Volume = }\pi\times r^2\times h \\ \text{Volume = 3.14 }\times\text{ 4}\times4\times3 \\ \text{Volume = 150.72 }\approx150.70m^3 \end{gathered}[/tex]

Thus the volume of water is 150.70 cubic m .

Suppose you roll a pair of six-sided dice and add their totals.(a) What is the probability that the sum of the numbers on your dice is 9 or 12?

Answers

We know we're dealing with two dice. Since each die has 6 different possibilities, the outcomes of rolling two dice are given by:

6 × 6, which is 36. This will be our denominator.

How many ways can we get 9 or 12 with two dices?

For a sum of 9:

3 + 6 = 9

4 + 5 = 9

There are two possibilities.

For a sum of 12:

6 + 6 = 12

There is only one possibility.

Summing it up, there are 3 possibilities to get a sum of 9 or 12 with the two dice.

The events are independent events since neither of them can ever occur at the same time.

Thus, the probability will be:

[tex]\text{ Probability = \lparen Probability of getting 9\rparen + \lparen Probability of getting 12\rparen}[/tex]

We get,

[tex]\text{ Probability = }\frac{2}{36}\text{ + }\frac{1}{36}\text{ = }\frac{3}{36}\text{ = }\frac{1}{12}\text{ \lparen simplified\rparen}[/tex]

Therefore, the probability is 1/12.

How do you find the range in a graph like this?

Answers

Answer

y can take on any real number value except around 1 < y < 3 where none of the graphs have values around this region.

Hence, this is the range of the graph.

Explanation

The range of a function refers to the region of values where the fumction can exist. It refers to the values that the dependent variable [y or f(x)] can take on.

From the graph attached to this question, we can see that the function has different forms at different values of x.

But it is also evident that y can take on any real number value except around

1 < y < 3 where none of the graphs have values around this region.

Hence, this is the range of the graph.

Hope this Helps!!!

Calculate the value of each expression.
1) (-5)
/
4
2) (-5)-(-/-)
3)-20
4)-20
(-20)
(4)
5)

Answers

Answer:

1) -15/4 or -3.75

2) 15/4 or 3.75

3) 5

4) -5

5) -5

Step-by-step explanation:

Estimate the difference between 7,472 and 3,827 by rounding each number to the nearest hundred.

Answers

Answer:

The difference is aproximately 3700.

Step-by-step explanation:

First, we'll round each number to the nearest hundred:

[tex]\begin{gathered} 7472\rightarrow7500 \\ 3827\rightarrow3800 \end{gathered}[/tex]

Now, we can estimate the difference:

[tex]7500-3800=3700[/tex]

This way, we can conlcude that the difference is aproximately 3700.

Evaluate the expression whenb= 48 c= 7simplify as much as possible

Answers

Given:-

[tex]\frac{b}{3}+2c^2[/tex]

To find the simplified value when b=48 and c=7.

So now we simplify the solution by substituting the values of b and c in the given equation and get the required solution.

So now we simplify. so we get,

[tex]\frac{b}{3}+2c^2=\frac{48}{3}+2\times7\times7=16+98=114[/tex]

So the simplified solution is 114.

$3.44 at the Farmers market at a grocery store the same oranges cost $8.40 for a bag of 20 find the better deal by calculating the unit rate for both locations how much would be saved per orange by purchasing oranges at the locations with the better deal solve the word problemFarmers market unit rate --------------grocery store unit rate ------------------better deal -------------how much is saved ------------A $0.01/ orangeslB $0.41 / orangeC grocery storeD Farmers marketE $0.43 / orangeF $0.40 / OrangeG $0.10 / Orange

Answers

Given :

At the farmer market : a bag of 8 oranges cost $3.44

At the grocery store : a bag of 20 oranges cost $8.4

So, the unit rate at the farmer market = 3.44/8 = $0.43/ orange

And the unit rate at the grocery store = 8.4/20 = $0.42/ orange

So, the better deal is the grocery store

how much is saved ?

the saving = 0.43 - 0.42 = $0.01/ orange

in ️RST, RS ~=TR and m

Answers

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

ΔRST

RS ≅ TR

∠ T = 15

∠ S = ?

Step 02:

We must apply the properties of isosceles triangles.

∠ T = ∠ S = 15

The answer is:

∠ S = 15 °

FIND THE MEASURE OF EACH EXTERIOR ANGLE OF 40

Answers

Solution

The sum of exterior angles is 360º for any polygon

So then we can find the measure of the exterior angles like this:

360/40 = 9º

solve the equation 3x^2 - 5x + 1 = 0 expressing your answer correct to two decimal places

Answers

You have th following equation;

[tex]3x^2-5x+1=0[/tex]

In order to find the solution to the previous equation, use the quadratic formula:

[tex]x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}[/tex]

In this case, a = 3, b = -5 and c = 1. By replacing these values into the quadratic formula, you obtain:

[tex]\begin{gathered} x=\frac{-(-5)\pm\sqrt[]{(-5)^2-4(3)(1)}}{2(1)} \\ x=\frac{5\pm\sqrt[]{25-12}}{2}=\frac{5\pm\sqrt[]{13}}{2} \\ x=\frac{5\pm3.60}{2}=2.5\pm1.80 \end{gathered}[/tex]

Hence, the solutions are:

x = 2.5 + 1.80 = 4.30

x = 2.5 - 1.80 = 0.70

There is $1.90 in a jar filled with quarters, dimes, and nickels. There are 2 more quarters than dimes and there are 2 more nickels than quarters. How many of each coin are there? quarters dimes [ ) nickels Enter the number that belongs in the green box.

Answers

Answer:

5 quarters, 3 dimes, 7 nickels

Explanations:

Let the number of quarters in the jar = q

Let the number of dimes in the jar = d

Let the number of nickels in the jar = n

1 quarter = $0.25

1 dime = $0.1

1 nickel = $0.05

The jar is filled with quarters, dimes, and nickels, totaling $1.90

This can be represented mathematically as:

0.25q + 0.1d + 0.05n = 1.90.........(1)

There are two more quarters than dime:

q = d + 2..............(2)

There are two more nickels than quarters

n = q + 2..............(3)

make d the subject of the formula in equation (2)

d = q - 2............(4)

Substitute equations (3) and (4) into equation (1)

0.25q + 0.1(q - 2) + 0.05(q + 2) = 1.90

0.25q + 0.1q + 0.05q - 0.2 + 0.1 = 1.90

0.4q - 0.1 = 1.90

0.4q = 1.90 + 0.1

0.4q = 2.0

q = 2.0/0.4

q = 5

n = q + 2

n = 5 + 2

n = 7

d = q - 2

d = 5 - 2

d = 3

There are 5 quarters, 3 dimes, 7 nickels

The directions for a weed spray concentrate state that 3 tablespoons of the concentrate should be mixed with 4 gallons of water. How many tablespoons of concentrate need to be mixed with 5 gallons of water?

Answers

The given information is:

- 3 tablespoons of the concentrate should be mixed with 4 gallons of water.

The ratio of tablespoons to gallons of water is:

[tex]\frac{3\text{ tablespoons}}{4\text{ gallons of water}}[/tex]

Then, we can apply proportions to find how many tablespoons of concentrate need to be mixed with 5 gallons of water, so:

[tex]\begin{gathered} \frac{3}{4}=\frac{x}{5} \\ Isolate\text{ x} \\ x=\frac{5*3}{4} \\ x=\frac{15}{4} \\ x=3.75\text{ tablespoons} \end{gathered}[/tex]

It is needed 3.75 tablespoons of the concentrate.

Fill in the empty spaces to complete the puzzle. In any row, the two left spaces should multiply to equal the right-hand space. In any column, the two top spaces should multiple to equal the bottom space.

Answers

Explanation:

We will find the expression for each space in the following order

To find the first expression, we need to find a number that multiplied by 6 is equal to 18. This number is 3 because

6 · 3 = 18

Then, for the second space, we need to factorize the expression 36x² + 144x + 108 as follows

36x² + 144x + 108 = 8(2x² + 8x + 6)

So, the expression that multiplied to 8 is (36x² + 144x + 108) is (2x² + 8x + 6).

The third space can be calculated by factorizing 2x² + 8x + 6 as

2x² + 8x + 6 = (x + 3)(2x + 2)

Therefore, the expression in the third space is (2x + 2)

Finally, for the fourth and fifth space, we need to multiply the expression to the left, so

6(2x + 2) = 6(2x) + 6(2) = 12x + 12

3(x + 3) = 3(x) + 3(3) = 3x + 9

Answer

Therefore, the answer is

The sum of a number and -4 is greater than 15. Find the number

Answers

x > 19

Explanation:

Let the number = x

The sum of a number and -4 = x + (-4)

The sum of a number and -4 is greater than 15:

x + (-4) > 15

Multiplication of opposite signs gives negative number:

x - 4 > 15

Collect like terms:

x > 15 + 4

x > 19

the product of a number and 3, increased by 5, is 7 less than twice the number. write an equation

Answers

Answer:

[tex]3x + 5 = 2x - 7[/tex]

whic fracción is equivalente to 8/10

Answers

Given data

*The given fraction is 8/10

[tex]\frac{80}{100}=\frac{8}{10}[/tex]

80/100 is the fraction equivalent to 8/10

-6 subtracted from a number equals -12.What is the number?

Answers

Answer:

The number is -18

Explanation:

-6 subtracted from a number equals -12.

We want to find the value of the number

Let the number be x

We can write the statement mathematically as:

[tex]x-(-6)=-12[/tex]

Solving this equation, the value of x is the number we are required to find.

[tex]\begin{gathered} x+6=-12 \\ \text{Subtract 6 from both sides} \\ x+6-6=-12-6 \\ x=-18 \end{gathered}[/tex]

The said number is -18

A ball is dropped from a state of rest at time T = 0.The distance traveled after t seconds is s(t) = 16t^2 ft.

Answers

ANSWERS

(a) 68 ft

(b) 136 ft/s

(c) 128 ft/s

EXPLANATION

(a) The time interval is from 4s to 4.5s, so the distance the ball travels from 4s to 4.5s is,

[tex]\Delta s=16\cdot(4.5)^2-16(4)^2=68ft[/tex]

(b) As stated, the average velocity is the quotient between the distance traveled and the time,

[tex]\frac{\Delta s}{\Delta t}=\frac{68ft}{0.5s}=136ft/s[/tex]

(c) Here we have to find the distance as we did in part b and then divide by the time interval,

[tex]\begin{cases}\lbrack4,4.01\rbrack\to\Delta s=1.28016\to V=1.28016/0.01=128.16ft/s \\ \lbrack4,4.001\rbrack\to\Delta s=0.128016\to V=0.128016/0.001=128.016ft/s \\ \lbrack4,4.0001\rbrack\to\Delta s=0.01280016\to V=0.01280016/0.0001=128.0016ft/s \\ \lbrack3.9999,4\rbrack\to\Delta s=0.01279984\to V=0.01279984/0.0001=127.9984ft/s \\ \lbrack3.999,4\rbrack\to\Delta s=0.127984\to V=0.127984/0.001=127.984ft/s \\ \lbrack3.99,4\rbrack\to\Delta s=1.2784\to V=1.2784/0.01=127.84ft/s\end{cases}[/tex]

As we can see in the middle values, as the time interval is shorter - the difference approaches 0, the value of the velocity is closer to 128ft/s.

Hence, the estimated instantaneous velocity at t = 4 is 128 ft/s

What's the equation of the axis of symmetry of g(x)=x^{2}+4 x+3?A) x=0B) x=-2C) x=2D) x=3

Answers

Given a quadratic equation of the form:

[tex]f(x)=ax^2+bx+c[/tex]

The equation of the axis of symmetry is obtained using the formula:

[tex]x=-\frac{b}{2a}[/tex]

From the given quadratic equation:

[tex]\begin{gathered} g\mleft(x\mright)=x^2+4x+3 \\ a=1 \\ b=4 \end{gathered}[/tex]

Therefore, the equation of the axis of symmetry of g(x) is:

[tex]\begin{gathered} x=-\frac{4}{2\times1} \\ x=-2 \end{gathered}[/tex]

The correct option is B.

Consider these functions:/(=) =-{=2 + 51g(I) = =2 + 2What is the value of fg(-2))?

Answers

Answer: Provided the two functions, f(x) and g(x), we have to find the composite of these two functions at x = - 2:

[tex]\begin{gathered} f(x)=-\frac{1}{2}x^2+5x \\ \\ g(x)=x^2+2 \end{gathered}[/tex]

The composite function is as follows:

[tex]\begin{gathered} f(g(x))=-\frac{1}{2}(x^2+2)^2+5(x^2+2) \\ \\ \\ f(g(x))=-\frac{1}{2}[x^4+4x^2+4]+5x^2+10 \\ \\ \\ f(g(x))=-\frac{x^4}{2}-2x^2-2+5x^2+10 \\ \\ f(g(x))=-\frac{x^4}{2}-2x^2-2+5x^2+10 \\ \\ \\ f(g(x))=-\frac{x^4}{2}+3x^2+8 \\ \\ \\ f(g(-2))=-\frac{(-2)^4}{2}+3(-2)^2+8 \\ \\ \\ f(g(-2))=-\frac{(-2)^4}{2}+3(-2)^2+8=-8+12+8=12 \\ \\ \\ f(g(-2))=12 \end{gathered}[/tex]

The answer is 12.

Find the slope using the points (2,1) and (7,5). Justify your answer

Answers

The answer is 3/5. If you use a graph and you look at (2,1) then graph it and then (7,5) and you draw your triangle the vertical number is 3 and then the horizontal and 5 so the it’s 3/5 and the slope is positive

MOSS 79 grom Volume 10 m

Answers

Mass=79gram

Volume=10ml

density=Mass/Volume

[tex]\text{Density}=\frac{79\text{gram}}{10ml}=7.9\text{ gram/ml}[/tex]

HELP PLEASE!!!!!!!!!!! ILL MARK BRAINLIEST

Answers

The rational number between -1/3 and 1/-2 could be;  -6 / 18, -6/12.

What are natural numbers, rational numbers, and irrational numbers?

Natural numbers are: 1, 2, 3, ..Rational numbers are numbers which can be written in the form of a/b where a and b are integers. Example: 1/2, 3.5 (which is writable as 7/5). Irrational numbers are those real numbers which are not rational numbers.

We are asked to find that rational number between -1/3 and 1/-2.

LCM of 3 and 2

3 x 2 = 6

Then we get;

-1/3 x 6/6 = -6 / 18

1/-2 x 6/6 = -6/12

Hence, the rational number between -1/3 and 1/-2 could be;  -6 / 18, -6/12.

Learn more about numbers here;

https://brainly.com/question/3151755

#SPJ1

What transformation would cause the change from ABC to A'B'C'?

Answers

Answer:

D. 1/4

Explanation:

When the coordinates of A, B, and C are multiplying by 1/4 we get A', B', and C'.

For example,

[tex]\frac{1}{4}\times A(-8,4)=A^{}(-\frac{8}{4},\frac{4}{4})[/tex][tex]\therefore A(-8,4)\rightarrow A^{\prime}(-2,1)[/tex]

The same goes for B and C.

Hence, the transformation that gives us A'B'C' from ABC is Choice D DIlation using k = 1/4.

2) Use a graph to find the length of DE if D(4, -3) and E(-5, -7) in pythagoras theorem.

Answers

Use a graph to find the length of DE if D(4, -3) and E(-5, -7) in pythagoras theorem.​

we know that

Applying the Pythagorean Theorem

DE^2=DEx^2+DEy^2

DEx -----> is the distance in the x-coordinate

DEy -----> is the distance in the y-coordinate

DEx=(-5-4)=-9 ------> subtract the x-coordinates

DEy=(-7+3)=-4 -----> subtract the y-coordinates

substitute in the formula

DE^2=(-9)^2+(-4)^2

DE^2=97

[tex]DE=\sqrt[]{97}\text{ units}[/tex]

c^2=a^2+b^2

c -----> is the distance DE

a ----> horizontal leg

b ----> vertical leg

we have

a=(-5-4)=-9 ------> subtract the x-coordinates

b=(-7+3)=-4 -----> subtract the y-coordinates

substitute

c^2=(-9)^2+(-4)^2

c^2=97

[tex]c=\sqrt[]{97}\text{ units}[/tex]

A regular hexagon has sides 2 feet long. What is the exact area of the hexagon? What is the approximate area of the hexagon?

Answers

The formula for the area of a hexagon is

[tex]A=\frac{3\sqrt[]{3}}{2}s^2[/tex]

where 's' is the length of one side of the regular hexagon.

The side of our regular hexagon is 2 feet, therefore, its area is

[tex]\begin{gathered} A=\frac{3\sqrt[]{3}}{2}\cdot(2)^2=6\sqrt[]{3} \\ 6\sqrt[]{3}=10.3923048454\ldots\approx10 \end{gathered}[/tex]

The exact area of the hexagon is 6√3 ft², which is approximately 10 ft².

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