graphing stuff needs done soon

Answer:

QO < OP < QP

Step-by-step explanation:

The third angle, angle Q, must measure 45° since angles in a triangle add to 180°.

So, OQ < OP < QP.

Answer:

PQ>OP>QO

Greater than symbol goes from largest to smallest

The height of the equilateral triangle is 41. 6 inches. Option C

The formula for finding the height of an equilateral triangle is given as;

h = (a√3)/2

we have a = 48 inches

Let's substitute the value

Height, h = [tex]\frac{48\sqrt{3} }{2}[/tex]

Height = [tex]\frac{48 * 1. 732}{2}[/tex]

Height = [tex]\frac{83. 14}{2}[/tex]

Height = [tex]41. 6[/tex] Inches

Thus, the height of the equilateral triangle is 41. 6 inches. Option C

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By using Microsoft excel to plot the data on a scatter plot, the linear regression equation can best be represented by: A. y = 12.11.1.36^x

A regression line can be defined as a statistical line that best describes the behavior of a data set and such, it is a line that best fits a set of data.

By using Microsoft excel to plot the data on a scatter plot, we can logically deduce that linear regression equation for the x-values and log(y)-values is given by:

y = 12.11.0.30^x

Thus, it can best be represented by: y = 12.11.1.36^x

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Answer:

10 inches

Step-by-step explanation:

15 days/3 days =5

5 x 2 =10

Using the interpretation of the confidence interval, it is found that:

It means that we are x% confident that the population parameter(mean/proportion/standard deviation) is between a and b.

Considering the mean and the standard error, the bounds of the interval are:

Hence:

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Using the normal distribution, there is a 0.5398 = 53.98% probability that a randomly selected cyclist will take at least 2.45 hours to complete the race.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation are given, respectively, by:

[tex]\mu = 2.5, \sigma = 0.5[/tex]

The probability that a randomly selected cyclist will take at least 2.45 hours to complete the race is one subtracted by the p-value of Z when X = 2.45, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{2.45 - 2.5}{0.5}[/tex]

Z = -0.1

Z = -0.1 has a p-value of 0.4602.

1 - 0.4602 = 0.5398.

0.5398 = 53.98% probability that a randomly selected cyclist will take at least 2.45 hours to complete the race.

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Answer:

54sqrt(30)

Step-by-step explanation:

3sqrt(24) can be simplified to 6sqrt(6) as 24 can be written as 4 * 6 and 4 is a perfect square

3sqrt(45) can also be written as 9sqrt(5) as 45 can be written as 5 * 9 and 6 is a perfect square

you can multiply 6sqrt(6) * 9sqrt(5) as though the square roots were variables

so

54sqrt(30)

this is your final answer

the rounded answer is 295.770181

A graph which includes the possible values for number of people who can still sign up for the team is: B. number line with closed circle on 5 and shading to the right.

A number line can be defined as a type of graph with a graduated straight line which contains numerical values (positive and negative numbers) that are placed at equal intervals along its length.

Let the number of people who can still sign up for the team be represented by x. Thus, the inequality is given by:

x + 4 ≥ 9

x ≥ 9 - 4

x ≥ 5.

This ultimately implies that, there could be five (5) or more people that can still sign up for the team and a graph which includes these possible values is a number line with closed circle on five (5) and shading to the right because it can get larger.

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The difference between Area and Volume lies in the fact that the former relates to plane shapes while the latter takes the concept of solid shapes into account.

The distinctive characteristic of area is the space occupied by a two-dimensional, 2D flat object in a plane while Volume on the other hand is defined as the space covered by a three-dimensional, solid object. The area is quantised in square units while the volume is quantised in cubic units.

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Answer:

Step-by-step explanation:

The exponential form of the given information 3^2x3^3 is 3⁵.

The exponential form is a convenient way of expressing or writing repeated multiplication expressions concerning their bases and power.

From the information given, the given expression can be written in exponential form by using the law of indices.

= 3^2x3^3  

[tex]\mathbf{=3^{2+3}}[/tex]

[tex]\mathbf{=3^{5}}[/tex]

Therefore, we can conclude that the exponential form of the given expression is 3⁵.

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Answer:

243/506

Step-by-step explanation:

There are 24 total juice boxes.

18 of them are not grape

You have an 18/24 chance of picking not grape juice

The second time, 1 is removed, then another is removed. This creates:

(18/24)*(18/23)*(18/22) = 243/506

Answer:

26.556192

Step-by-step explanation:

7.2×10460÷100

20000÷(7.2×10460÷100)

Answer:

x=3,y=1

Step-by-step explanation:

2^x+y=16,3^x-y=9

16=2^4,9=3^2

x+y=4,x-y=2 add both

2x=6,x=3

3-y=2,y=1

Answer: All real numbers

Step-by-step explanation:

The domain and range of all linear functions is the set of real numbers.

Answer:

1.2 × 107 this is the sciencetific notation for 12 million

..

Answer: (-2,2)

Step-by-step explanation:

The solution to a system of equations represented graphically is the point where the graphs intersect.

The difference of the fractions is 8x/3. Option C is correct.

Given the fraction is 10x/3-2x/3.

When subtracting fractions with the same denominator, just subtract the numerators of the fractions. To find the difference between equal fractions, we subtract the smaller numerator from the larger numerator.

The given expression is 10x/3-2x/3.

Here the denominator in both the fractions are same so, we will take the LCM, we get

10x/3-2x/3=(10x-2x)/3

Now, we will simplify the numerator by subtracting the smaller term from larger, we get

10x/3-2x/3=8x/3

Hence, the difference of the fractions 10x/3-2x/3 is 8x/3 and the correct option is C.

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Answer:

A $1950

Step-by-step explanation:

Food, camper rental and camp site will cost 1350

(120 + 65 + 85)5 = 1350

The trip is 2500 and the car gets  8 miles per gallon  2500/8 = 31.5.  The will need to buy 31.5 gallons of gas at 1.92 a gallon or $600 (31.5 x 1.92).

When we add the cost of gas to the other costs, we get a total of 1950 (1350 + 600)

Using the relation between velocity, distance and time, it is found that it took the knight 20 hours to traveled from one kingdom to another.

Velocity is distance divided by time, hence:

v = d/t

On the first day, he traveled at a speed of 10 mph, a distance of d, hence:

10 = d/t

t = d/10

On the second day, he traveled at a speed of 8 mph, a distance of 180 - d, hence:

8 = (180 - d)/t

t = (180 - d)/8

Equaling both equations for t, we find the distance on the first day, hence:

d/10 = (180 - d)/8

8d = 1800 - 10d

18d = 1800

d = 100 miles.

The time on the first day was:

t = 0.1d = 0.1 x 100 = 10 hours.

On the second day he traveled the same amount of time, hence, in total, he traveled 20 hours.

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The surface area of the square pyramid if the length of the sides of the base are 10 cm, and the slant height is 15 cm is 416.2 cm²

Surface area of the square pyramid

= a² + 2a√a²/4 + h²

where,

Surface area of the square pyramid

= a² + 2a√a²/4 + h²

= 10² + 2(10)√10²/4 + 15²

= 100 + 20√100/4 + 225

= 100 + 20√25 + 225

= 100 + 20√250

= 100 + 20(15.81)

= 100 + 316.2

= 416.2 cm²

Therefore, the surface area of the square pyramid if the length of the sides of the base are 10 cm, and the slant height is 15 cm is 416.2 cm²

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The probability that Luke will pick a blue ball is 3/8.

We have,

To find the probability of Luke picking a blue ball, we need to determine the total number of balls in the container and the number of blue balls.

Total number of balls

= 4 (yellow balls) + 3 (blue balls) + 1 (red ball)

= 8 balls

Number of blue balls = 3

Now, the probability (P) of picking a blue ball is given by:

P = Number of favorable outcomes (picking a blue ball) / Total number of possible outcomes

P = 3 (number of blue balls) / 8 (total number of balls)

Now, we can simplify the fraction to its lowest terms:

P = 3/8

Thus,

The probability that Luke will pick a blue ball is 3/8.

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Farmer will made 14 basket each of 5 apple and 7 peaches.

what is greatest common factor?

Greatest common factor (GCF) is largest common factor in the given number.

first find common factor of numbers 70 and 98

70 = 2*5*7

98 = 2*7*7

the common factor are 2 and 7

the greatest common factor is 2*7=14

70 apples = 14*5

98 peaches = 14*7

farmer will made 14 basket each of 5 apple and 7 peaches.

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The farmer will make 14 baskets containing each of 5 apples and 7 peaches.

Given:

Find:

Solution:

So, for solving this kind of question first we have to find the greatest common factor, we get;

70 = 2*5*7

98 = 2*7*7

the common factor are 2 and 7

the greatest common factor is 2*7=14

70 apples = 14*5

98 peaches = 14*7

So, the farmer will make 14 baskets each of 5 apples and 7 peaches.

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Answer:

  (c)  45°

Step-by-step explanation:

A protractor is used to measure angles by aligning one of the sides of the angle with the 0 mark on the protractor scale. Then the value of the angle is read from the same scale where it is crossed by the other side of the angle.

Here, ray BA crosses the outer scale at 0. The other ray of the angle, BC, crosses the outer scale halfway between 40 and 50, obscuring the mark at 45°.

The measure of angle ABC is 45°.

C. 45°

When measuring with a protractor one of the rays should line up with the straight edge of the protractor, then match up the second ray to the tick marks. However, it can be confusing to tell how to read a protractor.

Clockwise

This angle moves clockwise. This means that the second ray is clockwise to the ray at the bottom. When using a protractor that opens up to the left like this, read the top row of the protractor. The second ray matches the 45-degree mark.

Acute vs Obtuse

There is another way to tell which row of numbers to read. By looking at the drawn angle we can tell the angle is acute (smaller than a right angle). So, the measurement must be less than 90. Therefore, the top row must apply in this situation, meaning the angle is 45°.

Answer:

51 Adult tickets were sold that day.

Step-by-step explanation:

Let c = child and a = adult

c + a = 148                      5.50c + 9.00a = 992.50

Change the first equation so that it is either in the form c = or a =and then plug that number into the second equation.

I am going to change the first equation to c = by subtracting a from both sides

c = 148 - a

Now I am going to plug 148 -a for c in the second equation.

5.5(148 - a) + 9a = 992.5 Next distribute the 5.5

814 - 5.5a + 9 a = 992.5 Add the a terms together

814 + 3.5a = 992.5 Subtract 814 from both sides

3.5a = 178.5  Divide both sides by 3.5

a = 51

Answer:

0.4

Step-by-step explanation:

4+3+2+1 =10

5m÷10 =0.5

(0.5×4=2, 0.5×3=1.5, 0.5×2=1, 0.5×1=0.5)

2 : 1.5 : 1 : 0.5

longest piece= 2 (2m)

4+1= 5

2÷5= 0.4

(0.4×4=1.6, 0.4×1=0.4)

1.6 : 0.4

so the shortest piece is 0.4!

The point that describes the intersection of line m and line n is; Point W

Intersection of the two lines is defined as the point where the two lines cross or meet each other.

It is given that the lines m and n intersect each other, which means that they must be intersecting each other at some point.

From the figure, it can be seen that in plane A, the lines m and n intersect each other at point W, thus point W is the point of intersection of the two line m and n.

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Answer:

31

Step-by-step explanation:

replace the values of a and b in the given term

=2a x 3 + b

2(5) x 3 + (1)

2x5 x 3 + 1

10 x 3 + 1

30 + 1

31