The graph below models the height of a remote-control helicopter over 20 seconds during flight.


Time (seconds)
Over which interval does the helicopter have the slowest average rate of change?
1) O to 5 seconds
3) 10 to 15 seconds
2) 5 to 10 seconds
4) 15 to 20 seconds

Answer:

15m

Step-by-step explanation:

The pole is perpendicular to the floor and the angle of elevation is 45. Thus, it forms a right-angled, isoceles triangle. So the distance from point P to the bottom of the pole is equal to the height of the pole, which is 15m

Answer:

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

(-3s+2t)(4s+t)=-12s^2-3st+8st+2t^2 =  [tex]-12s^2+8st-2t^2[/tex]

Answer:

-5

Step-by-step explanation:

We can find the slope since we have two points

m = (y2-y1)/(x2-x1)

   = (-12-8)/(3 - -1)

   = (-12-8)/(3+1)

   = -20/4

   = -5

-5

We can find the slope since we have two points

m = (y2-y1)/(x2-x1)

  = (-12-8)/(3 - -1)

  = (-12-8)/(3+1)

  = -20/4

  = -5

Answer:

A rewards customer earns 2 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same.

Step-by-step explanation:

Answer:

A. A rewards customer earns 2 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same. (on edg.)

Step-by-step explanation:

Answer:

-36

Step-by-step explanation:

You have to rearrange the quadratic into an equation where one side is zero.

This example works by subtracting 7x^2 from both sides leaving

-5 = 9x^2 - 7x^2 + 2x

-5 = 2x^2 + 2x

Now add 5 to both sides

-5 + 5 = 2x^2 + 2x + 5

0 = 2x^2 + 2x + 5

Now the equation you gave is in the form of a quadratic. The discriminate is found from

a = 2

b = 2

c = 5

b^2 - 4ac is the discriminate

2^2 - 4(2)(5)

4 - 40

Discrimate = 4 - 40 = - 36

Answer:

W = 0.125

X = 1.75

Y = 1.875

Step-by-step explanation:

The geometric sequence looks like of first term 1 , and of common ratio (r=0.5).

Therefore each new term is found by multiplying the previous one by 0.5:

A1 = 1

A2 = 0.5

A3 = 0.25

A4 = 0.125 = W

A5 = 0.0625

And the partial sums are the additions of the terms until the last one considered:

S1 = 1

S2 = 1.5

S3 = 1.75  = X

S4 = 1.875  = Y

S5 = 1.9375

therefore,

W = 0.125

X = 1.75

Y = 1.875

Answer:

The next answers are approaching a number and 2

Step-by-step explanation:

Answer: 60 journeys

Step-by-step explanation:

1 ton = 1000 kgs

1.5 tons = 1500 kgs

1500/25 = 60 journeys

Answer:

55 journeys.

Step-by-step explanation:

907185 gm = 1 ton

453592.5 gm = 1/2 ton

1360777.5 gm = 1 1/2 ton

Convert to kg (1000g= 1kg)

Then divide by 25kg

=1360.7775/25 = 54.4311

Round up decimal to 1

= 55 journeys

Answer:

d, 700

Step-by-step explanation:

it's the only one that makes sense

29.1032644

hope this helps

Answer:

Step-by-step explanation:

8 -x = 13 - 2x

x + 8 = 13

x = 5

y = 8 - 5

y = 3

(5, 3)

Answer:

This report is not reliable because:

A real increase could be proved with the sample of all the students who attended the study session, due to mustn't be many students (I believe the students regularly doesn't like the extra study sessions), where wouldn't just have honors students, but the regular students too, who probably would actually need increasing their math scores.

Step-by-step explanation:

To identify if a students population actually increased their math tests scores by a particular reason, the researcher should take a sample from the regular or bad students that attended to the extra session, or at least an equal sample with the same amount of good students and regular students ( or bad students), in this form he would compare the results in each individual and identify if it actually depended on the extra study sessions or from other reasons how study time in the house, learning disorders or others.

Answer:

The other person is right, I believe it is the fourth Quadrient

Step-by-step explanation: how ever there are two fourth Quadrient answers. I think it is the second fourth Quadrient one with C and B at the top. I rotated the shape and that's how it looked.

When a shape is rotated, it must be rotated through a point.

The current location of the quadrilateral is quadrant III.

A 270 degrees clockwise rotation would move the shape 3 quadrants backwards.

i.e. quadrant 2, quadrant I, and quadrant 4.

Hence, the quadrant of the rotated figure is quadrant IV.

Read more about rotation at:

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Answer:

70%

Step-by-step explanation:

Total students = 300

Male students = 90

Female students = 300 - 90 = 210

Percentage of female students

[tex] = \frac{210}{300} \times 100 \\ \\ = \frac{210}{3} \\ \\ = 70\%[/tex]

Answer:

70%

Key Points:

Unknowns:

We are given the overall amount of students as well as the male students. Using these, we can determine how many females are in the school.

300 overall students - 90 male students = ____ female students

Simplify.

Given our above equation, we now know that there are 210 female students at the school.

In order to find the percentage of females at the school, we must divide the female students by the overall size of the school.

[tex]\frac{210}{300} = ?[/tex]

Our next step is to grab a calculator and input 210 ÷ 300. You can alternatively use the long division method but a calculator would work best. After calculating, your answer should come out to be 0.7

Now, you need to multiply it by 100 so that you can create a percentage.

0.7 × 100 = 70%

Therefore, 70% of the students are female.

Checking our work:

A great way to ensure that your answer is correct is by checking your work. We can do this by finding the percentage of male students and adding it to the percentage of female students.

If 70% is the correct percentage for female students, the male and female percentages should add up to 100%

Finding the male percentage:

Similar to how we found the percentage of females at the school, we must  divide the male students by the overall size of the school. Reminder: there are 300 students and 90 of them are male.

[tex]\frac{90}{300} = ?[/tex]

Again, you should pull out your calculator and input 90 ÷ 300. This should give you 0.3

Next, multiply your answer by 100 to get our percentage.

0.3 × 100 = 30%

Knowns:

Add the female percentage with the male percentage: 70% + 30% = 100%

As predicted, our answer was 100%. Therefore, 70% of the students are female.

Learn more about solving for percentages by reviewing these answers!

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The point which is farthest from the origin is required.

The point which is the greatest distance from the origin is [tex](4,5)[/tex]

The distance of a point from origin is given by

[tex]d=\sqrt{x^2+y^2}[/tex]

[tex](1,6)[/tex]

[tex]d=\sqrt{1^2+6^2}\\\Rightarrow d=\sqrt{37}\ \text{units}[/tex]

[tex](2,6)[/tex]

[tex]d=\sqrt{2^2+6^2}\\\Rightarrow d=\sqrt{40}\ \text{units}[/tex]

[tex](4,5)[/tex]

[tex]d=\sqrt{4^2+5^2}\\\Rightarrow d=\sqrt{41}\ \text{units}[/tex]

[tex](5,1)[/tex]

[tex]d=\sqrt{5^2+1^2}\\\Rightarrow d=\sqrt{26}\ \text{units}[/tex]

The largest number is [tex]\sqrt{41}[/tex]

Learn more about distance from origin:

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Answer:

14

Step-by-step explanation:

Answer: it is b

Step-by-step explanation: because you are trying to find the total of red paint

Answer:

D

Step-by-step explanation:

2 x 4 = 8

8 x 2 = 16

4 x 9 = 36

36 x 2 = 72

9 x 2 = 18

18 x 2 = 36

16 + 72 + 36 = 124

124 = D

Answer:

35 adult shirts were sold

Step-by-step explanation:

10y+15a=2375

y+a=220

y=220-a

10(220-a)+15a=2375

2200-10a+15a=2375

2200+5a=2375

5a=175

a=35

35 adult shirts were sold.

Answer:

Inverse Property

Step-by-step explanation:

This property is inverse property with respect to addition.

E.g.

If x=y and z= -y

Then,

x+z = 0

its basically d on edg :)

Answer:

First one is (d)

Second one is (c)

Third is (a)

Fourth is (21)

Answer:

Step-by-step explanation:

is the given line  3x - 4y = -17?

then,

- 4y = -3x -17

y=(3/4)x+17/4

it is parallel, so slope of our line is 3/4 or 0.75

y=0.75x+b

next, lets plug in the given point to get the y-int

2=0.75*(-3)+b

2=-2.25+b

b-2.25=2

b=4.25

the equation is y=0.75x+4.25

does this clear anything, or am I off topic? please tell me I will help you

The equation of line is [tex]y=\frac{3}{4}x+\frac{17}{4}[/tex]

The given equation of line is,

                            [tex]3x-4y=-17\\\\4y=3x+17\\\\y=\frac{3}{4} x+\frac{17}{4}[/tex]

Compare above equation with [tex]y=mx+c[/tex]

Slope of given line [tex]m=\frac{3}{4}[/tex]

Since, the slope of all parallel lines are same.

So that, slope of required line is also [tex]\frac{3}{4}[/tex]

The equation of line is, [tex]y=\frac{3}{4}x+c\\[/tex]

Substitute point [tex](-3,2)[/tex] in above equation.

                   [tex]2=\frac{3}{4}(-3)+c\\\\\\c=2+\frac{9}{4} =\frac{17}{4}[/tex]

Substitute  value of c in equation of line.

       [tex]y=\frac{3}{4}x+\frac{17}{4} \\\\\\[/tex]

Thus, the equation of line is [tex]y=\frac{3}{4}x+\frac{17}{4}[/tex]

Learn more about the equation of line here:

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Answer:

3.76 × 10^4

Step-by-step explanation:

1. Work out what they are.

1.26 × 10^4 = 12600   (check your calculator to see if I'm right)

To get this, I multiplied 1.26 by 10,000. This is because 10^4 is 10000 (it has 4 zeros). Or you could move the decimal point forward 4 spaces.

2.50 × 10^4 = 25,000

By doing the same thing above.

2. Add them together

12,600 + 25,000 = 37,600

3. Change the answer into its scientific notation

To do this we need to divide 37,600 by a number to make it less than 10, but still keeping the digits. This always ends in zeros by the way (e.g. 100, 1,000, 100,000).

37600 ÷ 10,000 = 3.76

Next:

Scientific notations always have times 10 to the power of something (× 10^x). So we put that in:

3.76 × 10^x   what is x?

x is the number of of times you multiply by 10 to get back to 36700. This is 4 times.

(This is the same as multiplying by 10,000 as it has 4 zeros. This is also the same as moving the decimal point 4 spaces)

So your final answer is: 3.76 × 10^4

Answer:

5/10

Step-by-step explanation:

0.5 is 5 tenths which is 5/10

Answer:

The answer is option D.

A n B is { 7 }

Hope this helps.

Answer:

total temp of 20 winter days

Step-by-step explanation:

Answer:

C (Third answer)

Step-by-step explanation:

Answer:

2/13

Step-by-step explanation:

So firstly, know that there are 13 cards in the deck (3 + 6 + 4).

Therefore, the probability of drawing a green is 4/13.

After you draw the green card, there will be 12 cards left. Therefore, the probability of drawing a purple card next is 6/12.

To find compound probability, multiply the probabilities of the two separate events happening together:

4/13 * 6/12

= 2/13

Hope this helps! Please contact me if you have any questions :)