what is the average speed for the interval t=1 hour to t=3 hours

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Answer:

f(3) = g(3)

General Formulas and Concepts:

Algebra I

Functions

Step-by-step explanation:

We can see from the graph that the lines intersect at (3, 6). If this is the case, then that means that when x = 3 for both functions, it outputs f(x) = 6.

Rewriting this in terms of function notation:

f(3) = 6, g(3) = 6

∴ f(3) = g(3)

=4x-2x=2x

=6-9=-3

=2x-3

Answer:

4.5

Step-by-step explanation:

Given the data :

Score, x ____: 1, 2, 3, 4, 5, 6, 7, 8

Frequency, F : 1, 5, 1, 4, 4, 1, 5, 1

This is a grouped data: The mean of a grouped data is given as :

Mean (xbar) = ΣFx / ΣF

ΣFx = (1*1)+(2*5)+(3*1)+(4*4)+(5*4)+(6*1)+(7*5)+(8*1) = 99

ΣF = (1+5+1+4+4+1+5+1) = 22

Mean (xbar) = ΣFx / ΣF = 99 / 22 = 4.5

9514 1404 393

Answer:

  $122,040

Step-by-step explanation:

The interest is the difference between the mortgage value and the total amount paid.

  ($839/mo)×(12 mo/yr)×(30 yr) -180,000 = $302,400 -180,000 = $122,040

$122,040 will be paid in interest.

Answer:

The length=16cm and the width=8cm.

Step-by-step explanation:

Given that the length is twice the breadth or width of the rectangle

Let's assume that the breadth of the rectangle is x.

Thus the length is 2x.

Given perimeter=48cm

The formula for the perimeter of a rectangle is 2(l+b) where l is length and b is breadth.

2(x+2x)=48

(3x)=48/2

3x=24

x=8cm

2x=16cm

Step-by-step explanation:

length=2x

width=x

2x+x+2x+x=48

6x=48

6x÷6=48÷6

x=8

length=16

width=8

Answer:

14x + 26

Step-by-step explanation:

JL = JK + KL

= 8x + 6 + 6x + 20

= 8x + 6x + 6 + 20

JL = 14x + 26

Answer:

y>3/5

Step-by-step explanation:

3y+5 <10

3y<5

y>3/5

Answer:

[tex]\:3y+5<10\\3y+5-5<10-5\\3y<5\\\frac{3y}{3}<\frac{5}{3}\\y<\frac{5}{3}[/tex]

OAmalOHopeO

Answer:

161 bags

Step-by-step explanation:

Since we need to know how many square feet a bag can cover, we need to convert the 1.8 square meters to feet. A meter is about 3 feet and 3.5 inches, so to find how many bags he needs we need to convert the bag into feet. First lets convert the meter into inches:

[tex](3*12)+3.5\\(36)+3.5 = 39.5[/tex]

Remember that a foot is 12 inches. Now, we need to multiply the 39.5 inches by 1.8 to find out how many square inches a bag holds.

[tex]39.5*1.8 = 71.1[/tex]

We need square feet though, so let's divide our 71.1 inches by 12 to get a foot measurement.

[tex]71.1/12=5.93[/tex]

A bag holds 5.93 square feet of mulch. Now, to figure out how many bags he needs, we need to divide 950 (total area to cover) by 5.93 (area each bag covers).

[tex]950/5.93=160.2[/tex]

Since Bill cant buy a fifth of a bag, we need to round up so he has enough. So, Bill needs 161 bags of mulch to cover his yard.

Answer:

25.61 feet

Step-by-step explanation:

First, we can draw a picture (see attached picture). With the wall representing the rightmost line, and the ground representing the bottom line, the ladder (the hypotenuse) forms a 80 degree angle with the ground and the wall and ground form a 90 degree angle.

Without solving for other angles, we know one angle and the hypotenuse, and want to find the opposite side of the angle.

One formula that encompasses this is sin(x) = opposite/hypotenuse, with x being 80 degrees and the hypotenuse being 26 feet. We thus have

sin(80°) = opposite / 26 feet

multiply both sides by 26 feet

sin(80°) * 26 feet = opposite

= 25.61 feet as the height of the wall the ladder reaches

The height of the wall does the ladder reach to the nearest hundredth of the foot is 25.61 feet.

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function. The Pythagoras is the sum of the square of two sides is equal to the square of the longest side.

Josue leans a 26 feet ladder against a wall so that it forms an angle of 80° with the ground.

The condition is shown in the diagram.

Then the height of the wall will be

[tex]\rm \dfrac{h }{26 } = sin 80 \\\\h \ \ = 26 \times sin 80\\\\h \ \ = 25.61 \ ft[/tex]

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

Answer:

Step-by-step explanation:

Answer:

Poisson, as we have the mean number and not a proportion.

Step-by-step explanation:

We have the mean number of vehicle deaths per year, thus, since it is a mean and not a proportion, we use the Poisson distribution.

If we were working with the proportion of accidents that end in death for example, or any other proportion, it would be a binomial random variable.

Answer:

[tex]{ \tt{2 {p}^{2} {q}^{3} }} \\ = { \tt{ {2(3)}^{2} . {(1)}^{3} }} \\ = 18[/tex]

Answer:

y = -8/3, z = -1

Step-by-step explanation:

7x < 10+2

7x<12

x < 12/7

Hope this helps!

Answer:

OAmalOHopeO

Step-by-step explanation:

9i√2

-18

so therefore the answer is 9i√2

Answer:

Step-by-step explanation:

This is a pretty basic related rates problem. I'm going to go through this just like I do in class when I'm teaching it to my students.

We see we have a snowball, which is a sphere. We are talking about the surface area of this sphere which has a formula of

[tex]S=4\pi r^2[/tex]

In the problem we are given diameter, not radius. What we know about the relationship between a radius and a diameter is that

d = 2r so

[tex]\frac{d}{2}=r[/tex] Now we can have the equation in terms of diameter instead of radius. Rewriting:

[tex]S=4\pi(\frac{d}{2})^2[/tex] which simplifies to

[tex]S=4\pi(\frac{d^2}{4})[/tex] and a bit more to

[tex]S=\pi d^2[/tex] (the 4's cancel out by division). Now that is a simple equation for which we have to find the derivative with respect to time.

[tex]\frac{dS}{dt}=\pi*2d\frac{dD}{dt}[/tex] Now let's look at the problem and see what we are given as far as information.

The rate at which the surface area changes is -3.8, and we are looking for [tex]\frac{dD}{dt}[/tex], the rate at which the diameter is changing, when the diameter is 13. Filling in:

[tex]-3.8=\pi(2)(13)\frac{dD}{dt}[/tex] and solving for the rate at which the diameter is changing:

[tex]-\frac{3.8}{26\pi}=\frac{dD}{dt}[/tex] and divide to get

[tex]\frac{dD}{dt}=-.459\frac{cm}{min}[/tex] Obviously, the negative means that the diameter is decreasing.

Answer:  0.50, which is choice b

Explanation:

The interval [tex]1 \le x \le 5[/tex] covers 5-1 = 4 units in the horizontal direction.

This is out of 8 units that span from x = 0 to x = 8 (we could say 8-0 = 8).

So we get the final result of 4/8 = 0.50

In other words, the interval from x = 1 to x = 5 covers exactly half of the interval from x = 0 to x = 8.

Answer:

Cost ratio of pens:pencils  =   9 : 4

Step-by-step explanation:

Pen  : Pencil

10/10 : 12/12

22.5 / 10  : 18 / 12

2.25 :  1.5 cost per pen : pencil

HC of 0.25 and 0.5 is 8

8 x 2.25 = 18:

1.5 x 8 = 12

Then place them under their denominator x 10 x 12

pens = 18/10 = 1.8

pencils = 12/12 = 1

HC of 1.8 and 1 is  5

1.8 x 5 = 9

1 x 5 = 5

Answer = 9 : 4

Answer:

1120

Step-by-step explanation:

To find the possible number of steak dinners, you would multiply the number of choices for each part of the dinner. You would used combinations instead of permutations since the order of the toppings chosen or side dishes chosen do not matter. There are 5 choose 1 choices for types of steak, which is just 5. There are 8 choose 3 choices for side dishes, which is 56. There are 4 choose 3 choices for toppings, which is 4. 5*56*4 is 1120, so there are 1120 possible steak dinners.

Answer:

The answer is "Option a".

Step-by-step explanation:

[tex]n= 93 \\\\p= 0.24\\\\\mu=?\\\\ \sigma=?\\\\[/tex]

Using the binomial distribution: [tex]\mu = n\times p = 93 \times 0.24 = 22.32\\\\\sigma = \sqrt{n \times p \times (1-p)}=\sqrt{93 \times 0.24 \times (1-0.24)}=4.1186[/tex]

In this the maximum value which is significantly​ low, [tex]\mu-2\sigma[/tex], and the minimum value which is significantly​ high, [tex]\mu+2\sigma[/tex], that is equal to:

[tex]\mu-2\sigma = 22.32 - 2(4.1186) = 14.0828 \approx 14.08\\\\\mu+2\sigma = 22.32 + 2(4.1186) = 30.5572 \approx 30.56[/tex]

Answer:

I hope D option is write

I hope you help

Answer:

False

Step-by-step explanation:

If we consider x=1 then

2*1-8 = 10-1

2-8 =9

6 = 9 (which is impossible)

so false

We can determine that the original equation 2x - 8 = 10 - x is true when x = 6.

We have,

Simplify the equation:

2x - 8 = 10 - x

Combining like terms by adding x to both sides:

3x - 8 = 10

Now, to isolate the variable x, add 8 to both sides:

3x = 18

Finally, divide both sides of the equation by 3:

x = 6

By solving the equation, x = 6.

Therefore,

We can determine that the original equation 2x - 8 = 10 - x is true when x = 6.

Learn more about equations here:

https://brainly.com/question/17194269

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Answer:

False

Step-by-step explanation:

4x + y < 2

y > –2

Substitute the point into the inequalities and see if they are true

4(4) + 2 < 2

16+2 < 2

18 <2  False

2 > –2  True

Since one is false the point is not a solution

Answer:

(-5, -9)

Step-by-step explanation:

From the graph shown, the perfect ordered pair represented on the graph occurs when x = -5, y  = -9. Therefore the required coordinate could be (-5, -9)

Answer:

d is the right answer because the coefficient of y is 3*(-1/3) which results -1 so d is the right answer

The coefficient of y in the given equation is 1. Therefore, option B is the correct answer.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 3(2x -1/3y)=0.

Now, 6x-1/y=0

A numerical or constant quantity placed before and multiplying the variable in an algebraic expression.

Here, coefficient of y is 1.

Therefore, option B is the correct answer.

To learn more about an equation visit:

https://brainly.com/question/14686792.

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Answer:

graph a is the correct answer

Step-by-step explanation:

Answer:

x not given

therefore no answer for x