How do the average rates of change for the pair of functions compare over the given​ interval?

Using a Ratio to solve

If we have a ratio of 7/12 odd cards to total cards she can expect to pull out 7 odds in her 12 cards. Now we will use this ratio out of 96 cards. If we have 96 cards with a 7/12 ratio we will divide 96 by 12 which is 8. Now we use our 8 and will multiply it by 7 which is our odd cards. Our total number of odds pulled out of 96 cards will be 56 out of 96.

Answer:

127.23

Step-by-step explanation:

Answer:

7 gallons

Step-by-step explanation:

8 pints = 1 gallon

56 ÷ 8 = 7

Answer:

7 Gallons

Step-by-step explanation:

Divide the number of pints by 8

56 jars filled each jar holds 1 pint

56 x 1=56

56/8=7

Answer:7 gallons

Beth used 7 gallons of paint

Answer:214

Step-by-step explanation:$46.12-$29 = $17.12

The daily rate is $29. Maria paid an additional $17.12 for the miles that she drove, at a cost of $.08 per mile.

$17.12 divided by $.08 = 214, therefore, Maria drove 214 miles.

Answer:

A)  x-intercepts are (0.6, 0) and (-1, 0)

B)  vertex is (-0.2, -3.2)

C)  see attached

Step-by-step explanation:

Part A

Given function:  [tex]f(x)=5x^2+2x-3[/tex]

The x-intercepts are when f(x) = 0

[tex]\implies 5x^2+2x-3=0[/tex]

To factor, find two numbers that multiply to -15 and sum to 2: 5 and -3

Rewrite the middle term of the quadratic as the sum of these number:

[tex]\implies 5x^2+5x-3x-3=0[/tex]

Factorize the first two terms and the last two terms separately:

[tex]\implies 5x(x+1)-3(x+1)=0[/tex]

Factor out the common term [tex](x+1)[/tex]:

[tex]\implies (5x-3)(x+1)=0[/tex]

[tex]\implies (5x-3)=0\implies x=\dfrac35=0.6[/tex]

[tex]\implies (x+1)=0 \implies x=-1[/tex]

Therefore, the x-intercepts are (0.6, 0) and (-1, 0)

Part B

As the leading coefficient of the quadratic is positive, the parabola will open upwards.  This means that the vertex will be a minimum point.

The x-coordinate of the vertex is the midpoint of the zeros.

[tex]\sf midpoint=\dfrac{-1+0.6}{2}=-0.2[/tex]

To find the y-coordinate of the vertex, substitute the found value of x into the given equation:

[tex]f(-0.2)=5(-0.2)^2+2(-0.2)-3=-3.2[/tex]

Therefore, the vertex is (-0.2, -3.2)

Part C

Plot the zeros and the vertex.

The axis of symmetry is the x value of the vertex, so ensure that the graph is symmetrical about x = -0.2.

Answer:

The 36 is the total number of choices possible. Two cubes are rolled. If a 1 is rolled on one cube, there are 6 possible choices on the other cube (1, 2, 3, 4, 5, 6). If a 2 is rolled on one cube, there are 6 possible choices on the other cube (1, 2, 3, 4, 5, 6). After doing this for all 6 numbers on the first cube, you find that there are 6+6+6+6+6+6 or 6*6 possible choices. 6*6 is 36, so that is where the 36 is from. You can also use the Fundamental Counting Principle.

Answer:

The answer is 6

Step-by-step explanation:

There are 2 types of lettuce and 3 types of  dressing and 2*3 =6

Answer:

4 feet 10 inches

Step-by-step explanation:

12 feet -2 feet = 10 feet

10 feet - 4 inches = 9 feet 8 inches

half of 9 feet is 4 feet 6 inches

half of 8 inches is 4 inches

4 feet 6 inches + 4 inches = 4 feet 10 inches

Answer:

238m

Step-by-step explanation:

volume=length,width,height

Answer:

238

Step-by-step explanation:

Multiply 4 and 7 to get 28

[tex]20( \frac{8 x 2 +1}{2})[/tex]

Multiply 8 and 2 to get 16

[tex]28(\frac{16+1}{2} )[/tex]

Add  16 and 1 to get 17

[tex]28(\frac{17}{2} )[/tex]

Express 28 and [tex]\frac{17}{2}[/tex] as a single fraction

[tex]\frac{28x17}{2}[/tex]

Multiply 28 and 17 to get 476

[tex]\frac{476}{2}[/tex]

Divide 476 by 2 to get 238

Answer:

The answer is B.

Step-by-step explanation:

[tex]2^{2} + 8^{2} =68[/tex]

We cannot simplify [tex]\sqrt{68}[/tex] any further, so that is our answer.

Answer:

476

Step-by-step explanation:

For one side of the pyramid:

Since there are two symmetrical triangles on one side of the pyramid, calculate both together as a rectangle.

7x10 = 70cm

There are four equal sides to the pyramid, so multiply the area of one side by 4.

70x4 = 280cm

Finally, calculate the area of the base and add it to the total.

14x14 = 196cm

196+280 = 476cm

Answer:

Step-by-step explanation:

First Quartile Q1 = 1.75

Second Quartile Q2 = 2.5

Third Quartile Q3 = 3

Interquartile Range IQR = 1.25

Median = Q2 x˜ = 2.5

Minimum Min = 1.5

Maximum Max = 3

Range R = 1.5

..............................

First Quartile Q1 = 4.5

Second Quartile Q2 = 6.25

Third Quartile Q3 = 6.75

Interquartile Range IQR = 2.25

Median = Q2 x˜ = 6.25

Minimum Min = 3

Maximum Max = 7

Range R = 4

Answer:

First Quartile Q1 = 1.75

Second Quartile Q2 = 2.5

Third Quartile Q3 = 3

Interquartile Range IQR = 1.25

Median = Q2 x˜ = 2.5

Minimum Min = 1.5

Maximum Max = 3

Range R = 1.5

Step-by-step explanation:

Answer:

C. 45.6 and 135.6

Step-by-step explanation:

Complementary angles add up to 90 supplementary angles add up to 180

Just subtract 90-44.4

and

180-44.4

Oh you got it just ask for help when you ned it.

Answer:

The answer is, B / 93.75 square feet

Step-by-step explanation:

Base on of trapezoid = 12.5 ft

Base two iss 0.5 times the length of base one.

Base two = (12.5 x 0.5) ft = 6.25 ft

height = 10 ft

Area of trapezoid ground = 1/2 (sum of the kengths of the parallel sides) x height

= 1/2 (12.5 + 6.25) x 10

= 1/2 x 18.75 x 10

= 93.75 square feet

Hope this help!

Answer:

1/3 = 4/12

Step-by-step explanation:

4/12 can be reduced to 1/3 since 4 goes into 12 three times and into 4 once.

Answer:

x ≥ 4

y ≤ -1

Step-by-step explanation:

x = 4 and y = -1 are the first set of values that can satisfy both conditions.

take the total surface area = 2πr(r+h)

2×22×3(3+10)

7

=1716

7

= 245.15cm² but i put 245.04 and got it right

Brainliest please!

Answer- 400 i think

A=2(wl+hl+hw)

Answer:

21.08

Step-by-step explanation:

Mean = {Sum of the terms} ÷ {the number of terms}

5 terms 28, 21.8,21.1,19, and 15.5.

Add those which is your sum.

28+21.8+21.1+19+15.5=105.4

So what you do is what i said above which is {Sum of the terms} ÷ {the number of terms}

So.....

105.4 ÷ 5 = 21.08 and that is the answer.

Answer:

210 millimeters

Step-by-step explanation:

There are 10 millimeters in every centimeter.

Width of 4.5cm x 10 = 45 millimeters

Length of 6cm x 10 = 60 millimeters

To figure perimeter, you add all 4 sides.

60 + 60 + 45 + 45 = 210

Perimeter of rectangle = 210 millimeters

The correct option is C.

A rectangle is a type of quadrilateral that has its parallel sides equal to each other and all the four vertices are equal to 90 degrees. Hence, it is also called an equiangular quadrilateral.

Since, the opposite sides are equal and parallel, in rectangle, therefore, it can also be termed as a parallelogram.

Given,

Length of rectangle = 6 cm

Width of rectangle = 4.5 cm

Perimeter of rectangle = 2(length + width)

                                      = 2(6 + 4.5)

                                      = 2(10.5)

                                      = 21 cm

1 cm = 10 mm

Perimeter of rectangle = 210mm

Hence, 210 millimeters is the perimeter of the rectangle.

Learn more about rectangle here:

https://brainly.com/question/29123947

#SPJ2

Answer:

A = 177.46

Step-by-step explanation:

[tex]A = lw + l\sqrt{(\frac{w}{2})^{2} + h^{2}} + w \sqrt{(\frac{l}{2})^{2} + h^{2}[/tex]

A = 6*6+6root((6/2)^2+11.4^2)+6root((6/2)^2+11.4^2)

A = 177.46

Answer:

The spaghetti box is 20 in cubed

Step-by-step explanation:

To get volume, we multiply the length times width times the height. But, to make this easier, we can make 2/3 into a decimal. The decimal form is 0.666666667. Now, we can put the numbers into a calculator.

3 * 10 * 0.666666667 = 20

The spaghetti box is 20 in cubed

Answer:

B, I took the test

Answer:

the answer is: 6, 3, 11,034, and 70

Step-by-step explanation:

i've done that problem already.

Answer:

the answer is 6 3 11,034 and 70

Step-by-step explanation:

have a nice day.

The number of students those who will most likely have their preference  to do their classwork online is 238 out of 350

The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.

According to the question statement:

A teacher surveys a random group of students about their preference for doing classwork online or on paper.

17 preferred online and 8 preferred on paper.

To find the number of students who will most likely have their preference to do their classwork online:

We will apply the concept of probability.

Probability(Event) = Favorable Outcomes/Total Outcomes

For the survey,

probability of students preferring online mode of classwork is = 17 /(17+8)

= 17/25

= 0.68

Now if we consider a group of 350 students and probability of students preferring online mode of classwork as 0.68

Let m be the number of students preferring online mode of classwork.

m / 350 = 17/25

m / 350 = 0.68

m = 350 x 0.68

m = 238

Therefore, the number of students are 238.

To learn more about the probability;

brainly.com/question/11234923

#SPJ2

Answer:

[tex]88cm^{2}[/tex]

Step-by-step explanation:

The area of 2 sides of the triangle altogether is 48[tex]cm^{2}[/tex];

The other 2 sides of the triangle has an area of 40[tex]cm^{2}[/tex];

add them together and you have your answer; 88[tex]cm^{2}[/tex].

Hope This Helps! :) Please Give Brainliest if you can!

I am pretty confident in my answer, but if this is wrong, please tell me and I will fix my mistakes!

Hii :)

First, what is volume?

Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface. For example, the space that a substance (solid, liquid, gas, or plasma) or 3D shape occupies or contain

FIRST ONE IS UNDERLINED

Now, lets answer.

Volume = lwh

Surface Area = 2(lw + lh + wh)

So, whats the answer?

Area of the floor is 693 sq ft

--------------Steps--------------

The formula for the area of a rectangle is:

A=l×w

The formula for the volume for a rectangular cube is:

V=l×w×h

We can substitute:

2079ft  3 for V

3ft for h

A for  l×w

And then solve for A  to find the area of the floor: v=l×w×h becomes:

2079ft 3=A×3ft

Therefore,Area of the floor is 693 sq ft

The second question:

8 1/2 is 8.5. 3 1/4 is 3.25

3*8.5*3.25 = 82.875

~NatLikesAnime~

#LearningWithBrainly

Answer: 3,120,000

Step-by-step explanation: there are 52 weeks in a year:

52 x 15 = 780

Now multiply the salary to it:

780 x 4,000 = 3,120,000

Answer:

4247.4 cm^2 after rounding to the nearest tenth
or 4247.43 cm^2 after rounding to the nearest hundredth

Step-by-step explanation:

the surface area can be split into 3 parts, the top, bottom, and side
the top and bottom areas are pretty easy, it's just the area of a circle
A = pi*13^2, which is 169pi for one circle, or 338pi for two
now, imagine the middle being unwrapped into a rectangle. the height of this rectangle is 39cm, and the length is just the circumference of the top/bottom circle, which is 2*pi*13, or 26pi cm
area is base*height, so 1014pi
add the two parts up (1014pi+338pi) to get 1352 pi, or about 4247.433
round to the nearest tenth to get 4247.4 cm^2
round to the nearest hundreth to get 4247.43 cm^2