Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When carrying 20 gallons of fuel, the airplane weighs 2122 pounds. When carrying 35 gallons of fuel, it weighs 2296 pounds. How much does the airplane weigh if it is carrying 45 gallons of fuel?

Answer:

3 terms

Step-by-step explanation:

There are 3 terms: 7y, 4z, and 9. To explain simply, terms are a letter, number, or a group of letters and numbers that are multiplied, but not added or subtracted.

Answer:

[tex]8-9i[/tex]

Step-by-step explanation:

[tex]p-q=5-2i-(-3+7i) \\ \\ =5-2i+3-7i \\ \\ =8-9i[/tex]

Answer:

120º

Step-by-step explanation:

This might be the correct answer if I'm not mistaken:

Extending the right side of the bottom triangle leads to m<1 and 120 vertical angles.

You use the Vertical Angles Theorem, and figure that 120 is congruent to m<1. Thus, i think 120 degrees is the answer.

The simplified value of the given fractions is -11/12

What does division of fractions mean?

A fraction is divided into additional equal pieces when it is divided into fractions. For instance, if you had three-fourths of a pizza remaining and divided each slice into two pieces, you would have received six slices, which would be equivalent to six-eighths of the entire pizza.

Top expression = 5/8 + 3/4

                          = (5 + 6)/ 8 = 11/8  ( 8 is the lcm of 4 and 8 )

Bottom expression = -2/3 - 5/6

                                = (-4 - 5)/ 6

                                = -9/6 = -3/2

Top expression/ Bottom expression = (11/8)/ (-3/2  )

                                                            = - (11/8) * (2/3)

                                                            = -11/12

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Answer: pay 40,000 up front i believe sorry if its wrong

Step-by-step explanation:

Answer: The function would have a minimum value because the least you will ever have is 0$. It cannot go below 0, so that is the minimum. However, depending on how much time has passed, the maximum amount of money you have can change. It can always go up more, so there is no set maximum.

Step-by-step explanation:

Answer:

A  -0.16

Step-by-step explanation:

I got it right on edge

Answer:

To find the percent of a number, we need to divide the number by the total and then multiply by 100%. In this case, we want to find the percent of 10 out of 25, so we need to divide 10 by 25 and then multiply by 100%. This gives us 10/25 * 100% = 40%. Therefore, 10 out of 25 is equal to 40%.

Step-by-step explanation:

Answer:

Step-by-step explanation:

....shhhhhhhhhhhhhhhhhhhhhhh

By using the concept of F- distribution, it can be concluded that-

To reject the null hypothesis of equal coefficients in the global test  from the output tables of a multiple regression model, F- distribution is used

What is F- distribution?

F- distribution is the used to test if the two observed sample has the same variance or not.

F- distribution is used to reject the null hypothesis when the two samples have the same variance.

Here, the null hypothesis of equal coefficients has to be rejected in a global test.

And also, here the outputs are from multiple regression model.

So F - distribution is used.

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Complete Question:
which one of the following entries from the output tables of a multiple regression model could be used to reject the null hypothesis of equal coefficients in the global test?
A) F- distribution
B) B- distribution
C) D- distribution
D) Non of these

The length of side X in the simplest radical form exists 22/√3.

Trigonometry is the study of angles and the angular connections between figures in two and three dimensions. The trigonometric functions that make up trigonometry are cosecant, cosine, cotangent, secant, sine, and tangent. These are also known as the circle functions.

Trigonometric Identities are equality statements involving trigonometry functions that hold true for all values of the input variables in the equation. The side length and angle of a triangle are both subject to a variety of distinctive trigonometric identities.

The triangle is right angled, therefore we can apply trigonometry :

To obtain the value of X which is the hypotenuse :

Using trigonometric identities,

Cosθ = adjacent / hypotenuse

Substitute the values in the above equation, we get

Cos 30 = 11 / X

√3/2 = 11 / X

simplifying the above equation, we get

√3 / 2 × X = 11

X = 11 ÷ √3 / 2

X = 11 × 2 / √3

X = 22/√3

Therefore, the length of side X in the simplest radical form is 22/√3.

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A cell phone tower has a range of 4 miles. The area covered by the tower is 130.09 km².

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies.

An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure. The square unit, which is frequently expressed as square inches, square feet, etc., is the accepted unit of area.

Given,

A cell phone tower has a range of 4 miles.

Converting miles into kilometer,

1 miles = 1.609

4 miles = 6.437

Area covered by tower,

πr²

3.14 × (6.437)²

3.14 × 41.43

130.09 km²

A cell phone tower has a range of 4 miles. The area covered by the tower is 130.09 km².

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The box and whisker plot for the data

72, 84, 85, 91, 98, 90, 68, 65, 55, 71, 91, 99, 98, 59, 60, 64, 61, 68, 88, 91, 99

has been shown below.

What is box and whisker plot?

Box and whisker plot is used to find the variations in a data set.

Box and whisker plot is a very good technique to show the minimum value, lower quartile, median, upper quartile and maximum value diagrammatically.

Here, the test scores are

72, 84, 85, 91, 98, 90, 68, 65, 55, 71, 91, 99, 98, 59, 60, 64, 61, 68, 88, 91, 99

The box and whisker plot has been shown below-

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Answer:

answer is A Step-by-step explanation

Answer:

13n+8

Step-by-step explanation:

8 more = 8+

product of 13 and n= 13n

8more then 13n

Answer:

Step-by-step explanation:

Eight more than the product of 13 and a number = 13n+8

13n+8=0

13n=-8

n=-8/13

The measure of distance RS, if The sides QU = 140 m, US = 115 m, TU = 104.55 m, rounding to the nearest hundredth of a meter, is 200 m.

Triangles are basic three-sided polygons with three internal angles. It is one of the basic geometric shapes, symbolized by the symbol, and has three vertex connections.

Given:

The sides QU = 140 m, US = 115 m, TU = 104.55 m

As you can see, the triangle QRS and triangle QTU are similar, thus the ratio of their sides will be equal,

QU / QS = TU / RS

140 / 140 + 115 = 104.55 / RS

140 / 255 = 104.55 \ RS

RS = 104.55 × 255 / 140

RS = 190.43 or 200 m

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Answer: 190.43m

Step-by-step explanation:

In Photo

Length of bike route A is 12(65)=780 and length of bike route B is 65.

Two or more expressions with an Equal sign is called as Equation.

Given that the Bike route A is 12 times as long as bike route B.

Let x be the length of the bike route B.

12x be the  length of the bike route B.

The total length of the bike trails is 845 miles

12x+x=845

13x=845

Divide both sides by 13

x=65

Length of bike route A is 12(65)=780 and length of bike route B is 65.

Hence, Length of bike route A is 12(65)=780 and length of bike route B is 65.

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Answer:

y = -x + 11

Step-by-step explanation:

y = mx + b

m is the slope and b is the y-intercept so m = -1

y = -x + b

Now substitute x = 8 and y = 3:

3 = -8 + b

b = 11

Thus the final equation is y = -x + 11.

If they were to use the hypothesis testing procedure for this research question, the appropriate test statistic to use is; Z-test

A test statistic is defined as a random variable that is calculated from sample data and thus used in a hypothesis test. You can use test statistics to determine whether to reject the null hypothesis.

Now, there are many different types of tests in statistics such as t-test, Z-test, chi-square test, anova test , binomial test, one sample median test e.t.c.

Now, in this case, a z-test is required because a z-test is used in hypothesis testing to evaluate whether a finding or association is statistically significant or not.

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The question "Are you a faster runner than your best friend​" is a non statistical question.

A statistical question is a question that can be answered by collecting and analyzing data. The question is usually framed in a way that allows for the collection of data and the use of statistical methods to analyze the data and make inferences about a larger population. Examples of statistical questions include:

The question "Are you a faster runner than your best friend?" is a non-statistical question. It is asking for a comparison between two individuals rather than a statistical analysis of a dataset.

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Answer:

In the third quadrant, the sine of an angle is negative, so the angle itself must be between 180 and 270 degrees. This means that the cosine of the angle, and therefore the cosine of half the angle, is also negative.

To find the exact value of the cosine of half the angle, we can use the double angle formula for cosine, which states that cos(2A) = 1 - 2sin^2(A). Since the sine of half the angle is sin(B/2) = sqrt((1 - cos(B))/2), we can plug this into the double angle formula to get:

cos(B/2) = sqrt(1 - cos(B))/sqrt(2) = sqrt((1 - (-1/3))/2) = sqrt(4/6)/sqrt(2) = sqrt(2/3)/sqrt(2) = sqrt(1/3)

Therefore, the value of cos(B/2) is sqrt(1/3), which is positive because B/2 is between 0 and 90 degrees. The exact value of the cosine of half the angle B in the third quadrant is sqrt(1/3).

Answer:

3. y int= 6

4. m=6

5. y=-2x-8

Step-by-step explanation:

3.  since the y intercept is when x=0 the table shows the y=6.

4.  to find m we use          change in y/change in x

the change in y is 6 because 6-0=6

change is x is 1 because 0--1=1

6/1=6

5.  y=mx+c

c is y intercept thus c= -8

m is function rate/ gradient of the line = -2

this is because:

change in y= -8--2=-6

change in x= 0--3=3

-6/3= -2

thus y=-2x-8

Answer:

$150 for each security camera

Step-by-step explanation:

If he wants to spend $450 or less for 3 security cameras, he will have to spend $150 for each security camera.

Answer:

the answer is $150

Step-by-step explanation:

If he wants to spend not less than $450, he has to buy one camera for $150

Answer:

If you accept a job with a salary of $37,300 and receive a 6% raise after 6 months, your new salary will be $37,300 x 6/100 = $2,238. This is the amount of your raise. To determine your new salary, we can add the raise to your original salary, which gives us:

New salary = $37,300 + $2,238 = $39,538

Therefore, your new salary after receiving a 6% raise will be $39,538.

Step-by-step explanation:

Answer: 6

Step-by-step explanation:

14-8=6

x=6

Shape would the resulting distribution have very symmetric distribution with a single peak was found to be the corrected long-jump distances in centimeters distribution's shape.

In common parlance, the term "symmetry" describes a sense of lovely proportion and balance. A more exact meaning of "symmetry" can be found in mathematics, where it typically refers to an object that is unaffected by certain transformations like translation, reflection, rotation, or scaling.

Given,

100 cm = 1 m

Xₙ = 557.3 cm

Divide each centimeter number by 100 to convert the corrected long jump distances from centimeters to meters.

A very symmetric distribution with a single peak was found to be the corrected long-jump distances in centimeters distribution's shape.

The distribution's structure is unaltered when each value in the data is divided by 100 since there are no changes to the relationships between any two pieces of data.

Since there is just one peak in this example, the corrected long-jump distances in meters distribution likewise has an almost symmetric form.

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A) The population P after t hours as a function of t p(t) = 820 [tex]e^{0.3465t}[/tex]  k = 0.3465 , B)The population after 8 hours of

bacteria is p(8) = 13120 , C) The population to reach 2450, time will be t= 3.15 hour

A linear relationship between two amounts or variables is shown by proportionality. Both quantities increase in size when one doubles, and both decrease in size when one drops to a tenth of its original amount.

It is given that  

dp/dt ∝ p

dp/dt = kp

dp/p = kdt

log p = kt +c

p(t) = c[tex]e^{kt}[/tex]

when t = 0 then p = 820

therefore c = 820

p(t) = c[tex]e^{kt}[/tex]

when t = 2hours then p = 1640

1640 = 820[tex]e^{2k}[/tex]

2k = ln2

k = ln2/2

k = 0.3465

p(t) = 820[tex]e^{0.3465t}[/tex]  bacteria

B)

when t = 8hours

p(8) = 820[tex]e^{0.3465* 8}[/tex]

p(8)= 820*16

p(8) = 13120 bacteria

c)

when p = 2450 then t = ?

2450 = 820[tex]e^{0.3465t}[/tex]

2450/820 = [tex]e^{0.3465t}[/tex]

t =1.0945/0.3465

t= 3.15hours

Thus

A) The population P after t hours as a function of t p(t) = 820 [tex]e^{0.3465t}[/tex]  k = 0.3465 , B)The population after 8 hours of

bacteria is p(8) = 13120 , C) The population to reach 2450, time will be t= 3.15 hour

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Answer:b

Step-by-step explanation:

[tex] \angle 1=\angle 2=62.5^{\circ}[/tex] (isosceles triangle)

[tex]\angle 3=55^{\circ}[/tex] (vertical angles)

[tex]\angle 4=75^{\circ}[/tex] (linear pair)

[tex]\angle 5=50^{\circ}[/tex] (exterior angle theorem)