Find the area of this trapezoid. Be sure to include the correct unit in your answer.

Answer:

Step-by-step explanation:

Beth's position over time is constant, which makes the problem a lot easier. You are asked for the rate of position versus time, so begin by doing that. Since the rate is constant, clearly from the table, you can take any two data points and take their ratio. Her rate would be 11 feet every 5 seconds, or equivalently 2.2 feet every second. To graph the data, put position on the y-axis and time on the x-axis. The slope will be 2.2 at every point along her bike ride.

Moving on to the third part. If Amy traveled at a rate of 75 feet every 30 seconds, then she would be traveling 2.5 feet every second. Amy's rate is larger than Beth's rate. Since the rate corresponds to the slope of the postion vs. time graph, Amy's graph will have a steeper incline since the slope is 2.5

Answer:

B. Every 5 minutes 11 ft. traveled

2.2ft.= every 1 minute

C. Steeper. this is because her rate of change is much higher than before

Answer:

Step-by-step explanation:

   sentence  —————————-——————>  math expression

Ten increased by —————————————>         10 +

the product of a number ‘x’ and 5 —————>        5x

less than -15   —————————-——————>   ...... ≤ -15

Conclusion:

10 + 5x ≤ -15

Answer:

m^2+5m+25/4

perfect square trinomial^^

Answer:

what is mean: mean is the "average" of a set of numbers and it is calculated by adding up the values given and dividing by the total number of values given.

Step-by-step explanation:

formula: addition of all values divided by the number of values given.

total number of values given = 10 ( count each number as one )

so ..

20+15+22+13+14+18+19+11+23+17 = 172

divided by 10

= 17.2 ( decimal)

or 17 whole number 1/5 ( mixed fraction )

or 86/5 ( improper fraction ).

Hope this helps.

Good luck .

Answer:

it is 113*

Step-by-step explanation:

hat is the measure of XYZ?

Answer: 1 3/10

Step-by-step explanation:

first turn it into a fraction 13/10 then how many times does 13 fit into 10. It fits once with 3 remaining. So you get 1 and 3/10

Answer:

  1 3/10

Step-by-step explanation:

When you read the decimal number, it reads the same as the equivalent mixed number:

  1.3 = "one and three tenths" = 1 3/10

__

Additional comment

This will generally be the case. Some mixed numbers found this way can have their fractions reduced:

  1.2 = "one and two tenths" = 1 2/10 = 1 1/5

Answer:

Step-by-step explanation:

Combinations of 3 out of 12 items

Combinations 3 out of remaining 9 items

Combinations of 3 out of remaining 6 items

Combinations of 3 out of 3 remaining items

Answer:

The graph of f(x) = x² was transformed to create the graph of g(x) = f(x) + 1.5. Which statement about the graphs is true?

The vertex of the graph of g is 1.5 units to the left of

the vertex of the graph of f.

B

The y-intercept of the graph of g is 1.5 units above the

y-intercept of the graph of f.

The graph of g is a reflection of the graph of f across

the y-axis.

The graph of g is a reflection of the graph of f across

the x-axis.

Step-by-step explanation:

Answer:

[tex]\dfrac{dy}{dx}=-y\left(4+\dfrac{1}{x}\right)[/tex]

or written in rational form:

[tex]\dfrac{dy}{dx}=\dfrac{-4xy-y}{x}[/tex]

Step-by-step explanation:

[tex]\ln(xy)+4x=45[/tex]

[tex]\textsf{Apply the product log law}\quad\ln(ab)=\ln(a)+\ln(b):[/tex]

[tex]\implies \ln(x)+\ln(y)+4x=45[/tex]

[tex]\textsf{Add}\:\dfrac{d}{dx}\:\textsf{in front of each term}:[/tex]

[tex]\implies \dfrac{d}{dx}\ln(x)+\dfrac{d}{dx}\ln(y)+\dfrac{d}{dx}4x=\dfrac{d}{dx}45[/tex]

[tex]\textsf{Differentiate the}\: x \: \textsf{terms and constant terms first}:[/tex]

[tex]\implies \dfrac{1}{x}+\dfrac{d}{dx}\ln(y)+4=0[/tex]

[tex]\textsf{When differentiating with respect to}\:y,\: \textsf{differentiate and add}\: \dfrac{dy}{dx}:[/tex]

[tex]\implies \dfrac{1}{x}+\dfrac{1}{y}\dfrac{dy}{dx}+4=0[/tex]

[tex]\textsf{Rearrange to make}\:\dfrac{dy}{dx}\:\textsf{the subject}:[/tex]

[tex]\implies \dfrac{1}{y}\dfrac{dy}{dx}=-4-\dfrac{1}{x}[/tex]

[tex]\implies \dfrac{dy}{dx}=y\left(-4-\dfrac{1}{x}\right)[/tex]

[tex]\implies \dfrac{dy}{dx}=-y\left(4+\dfrac{1}{x}\right)[/tex]

If you want it in rational form, then:

[tex]\implies \dfrac{dy}{dx}=-4y-\dfrac{y}{x}[/tex]

[tex]\implies \dfrac{dy}{dx}=\dfrac{-4xy-y}{x}[/tex]

[tex]~~~~~\ln(xy) +4x = 45\\\\\\\implies \dfrac{d}{dx} \left[\ln(xy) +4x \right] = \dfrac{d}{dx} ( 45)\\\\\\\implies \dfrac{1}{xy} \cdot \dfrac{d}{dx} (xy) + 4 = 0\\\\\\\implies \dfrac 1{xy} \left( x\dfrac{dy}{dx} + y \right) +4 =0\\\\\\\implies x\dfrac{dy}{dx} + y + 4xy=0\\\\\\\implies x \dfrac{dy}{dx} =-y-4xy\\\\\\\implies \dfrac{dy}{dx} = \dfrac{-y-4xy}x[/tex]

Answer:

5 ft

Step-by-step explanation:

If all sides are of the same length, we can multiply the value of one side by 3, because a triangle has three sides (and the perimeter is all sides added together), to find the perimeter.

[tex]1\frac{2}{3}[/tex] × 3

[tex]1\frac{2}{3}[/tex] can be rewritten as [tex]\frac{5}{3}[/tex], so:

[tex]\frac{5}{3}[/tex] × [tex]\frac{3}{1}[/tex]

[tex]= \frac{15}{3}[/tex]

The numerator & denominator share a common factor of 3, so:

5 ft is the final answer/perimeter.

hope this helps!

Answer:the answer would be equal to.

Step-by-step explanation:

Answer:

its actually just r=-2

Answer:

Step-by-step explanation:

→the two segments are Coplanar because they are in the same plane

→The angle between the two segments is marked by a little square which indicates that it’s a right angle in other words the segments are perpendicular.

Answer:

well if we take -12 and divide it by four we will get -3.

Step-by-step explanation:

If we have a total of negative 12, just divide it by 4 and the difference between each division is the sum.

Your answer will be -3 on the number line.

:)

Answer:

Step-by-step explanation:

-12/4 = -3

Answer:

56

Step-by-step explanation:

degree of freedom is n - 1, n being the sample size

One sample of 57 participants in a study (given)

For this study, n = 57

Using the degree of freedom formula, 57 - 1 = 56

Hope it helps, Let me know if yoy have any more questions/concerns !

Have a nice rest of your day :)

Answer:

30

Step-by-step explanation:

6/1 x 5/6 = 30/6 or 5.

5/1 divided by 1/6 is 5/1 x 6/1 or 30.

Therefore, the answer is 30.

Answer:

It's C. 30

__________________________________________________________

Ask in comments

Answer:

f(1) = 0

Step-by-step explanation:

4x=13

Step-by-step

add 3 to both sides making 10=13

4x=13

Answer:

$110.46

Step-by-step explanation:

1 bath towel is $15.78 we need 7. So the equation is 15.78 x 7 = 110.76.

Answer:

40 problems.

Step-by-step explanation:

I am assuming you are asking what the total number of problems is.

24*100 is 2400

2400/60 is 40

Answer:

1 [tex]\frac{41}{42}[/tex]

Step-by-step explanation:

[tex]\frac{83}{42}[/tex] = 83 ÷ 42 = 1 remainder 41 , then

[tex]\frac{83}{42}[/tex] = 1 [tex]\frac{41}{42}[/tex]

Answer:

I have got an answer it is false for explanation go to picture

Answer:

8

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

The top left box on the x axis is negitive 3

Answer:

78.5

Step-by-step explanation:

The diameter (d) is equal to the radius x 2, so take half of d to get r. Use r (5) in the equation to get your answer.

A= 3.12 x 5^2

A= 78.5

Let's call C the point on K(O) and segment AO.  I assume you're aware of a 'secant tangent angle theorem', where if you know the measure of arc BC you can solve for angle BAD.  Since CD is a diameter of the circle, the measure of arc CD is 180 degrees - with this you can easily find the measure of all arcs of the circle then apply the theorem

Answer:

[tex]\huge\boxed{\sf Option \ 1}[/tex]

Step-by-step explanation:

People surveyed = 42

People who approved = 25

So, the sample is:

25 residents who approve.

And population:

42 residents surveyed.

[tex]\rule[225]{225}{2}[/tex]