Find three consecutive even numbers whose sum is 1674.

If he drives the car 218.4 miles in 2.4 hours. Then the speed of the car will be 91 miles per hour.

If the object is going linearly, and at a constant speed, then the speed of that object is given by the distance it traveled to the time it took to travel that distance.

If the object traveled D distance in T units of time, then that object's speed will be given as

Speed = Distance traveled/Time taken

        S = D/T

Phillip is competing in a race car competition.

He drives 218.4 miles in 2.4 hours.

Then the speed of the car will be

S = 218.4/2.4

S = 91 miles per hour

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The number of ways that the planning committee can be formed if there are 3 members from each group is 6545 ways.

Combinations are also referred to as selections. Combinations imply the selection of things from a given set of things. In this case, we intend to select the objects. This can be illustrated by ⁿCr

The combination formula is illustrated thus:

ⁿCr = n! / ((n – r)! r!)

n = the number of items.

r = how many items are taken at a time

The number of people will be:

= 10 + 16 + 9

= 35

The number of ways will be:

= ³⁵C₃

= 35! / (35 - 3)! 3!

= 35! / 32! 3!

= 35 × 34 × 33 / 3 × 2

= 6545 ways

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6545 ways can a planning committee be formed if there are 3 members from each group.

Combination is a way of selecting items from a collection where the order of selection does not matter.

The formula for combination is ⁿCr = n! / ((n – r)! r!)

Where n is total number of objects and r is number of objects we have to choose.

The committee has 10 administrators, 16 faculty members, and 9 staff members.

The total number of persons

10+16+9

35

Now we need to select 3 persons from 35 persons

n=35 and r=3

³⁵C3 = 35! / ((35 – 3)! 3!)

=35! / ((32)! 3!)

=35×34×33×32! / (32! 3!)

=35×34×33 /6

=6545 ways

Hence in 6545 ways can a planning committee be formed if there are 3 members from each group.

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Answer:

3 only

Step-by-step explanation:

Consider the statement, "The two cities with the highest number of respondents, both show more support for candidate A." In the total column, the two highest number of respondents are 471 and 463 which represent Carsonville and Appleton. For Carsonville, the number of respondents who prefer candidate A is 205, which is less than the number of respondents who prefer candidate B, 266. Therefore, this statement is not true.

Consider the statement, "The number of people who support candidate B in Carsonville is twice the number of people who support candidate B in New Thomas." In the table, the number of people who support candidate B in Carsonville is observed to be 266 and the number of people who support candidate B in New Thomas is 138. Since 266 is not equal to twice 138, this statement is not true.

Consider the statement, "More residents of Center City responded to the poll than the number who responded from New Thomas." In the total column, it can be observed that 350 people responded to the poll in Center City and 318 people responded to the poll in New Thomas. Since, 350 is greater than 318, this statement is true.

Consider the statement, "Overall, more residents support candidate A than candidate B." The bottom row of the table represents the total number of responses for each candidate. The number of people supporting candidate A is 797, which is less than the number of people supporting candidate B, 805. So, this statement is not true.

Therefore, the true statement is III only.

More residents of the center city responded to the pole than the number who responded from New Thomas, which is the only correct option. Option B. is correct.

Data given in the table shows the data of elections between two candidates among the different cities.

Statistics is the study of mathematics that deals with relations between comprehensive data.

I.The two cities with the highest number of respondents both show more support for candidate A. This statement is false because carsonville is the second highest support for A but it does not show more support for candidate A.

II.The number of people who support candidate B in Carsonville is twice the number of people who support candidate B in New Thomas. It is false

III. More residents of Center City responded to the pole than the number who responded from New Thomas. It is true.

IV. Overall, more residents support candidate A than candidate B. it is also false.

Thus, more residents of the center city responded to the pole than the number who responded from New Thomas, which is the only correct option. Option B. is correct.

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Answer:

THe answer is 13

Step-by-step explanation:

Answer:

its the second one 13

Step-by-step explanation:

Answer:

(6 + 6π) cm

Step-by-step explanation:

2π(3) / 2 + 3x2

= (6 + 6π) cm

Answer:

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Answer:

Negative correlation

Step-by-step explanation:

As TV hours increase, exercise hours decrease.

By looking at the graph we can see that f(x) increase by 1 (on the vertical axis . or y-axis ) from 2 to 3, over the interval 0 to 1 ( horizontal axis, or x-axis)

It increases by 2 over the interval 1 to 2.

by 4 over the interval 2 to 3.

And by 8 over the interval 3 to 4.

Therefore this exponential function grows by a factor of 2 (since it doubles every by every interval of 1)

A relative maximum point is a point where the function changes direction from increasing to decreasing (making that point a "peak" in the graph). Similarly, a relative minimum point is a point where the function changes direction from decreasing to increasing (making that point a "bottom" in the graph).

An absolute maximum point is a point where the function obtains its greatest possible value. Similarly, an absolute minimum point is a point where the function obtains its least possible value.

Our function starts increasing, and approximately at x = 2, it starts decreasing, which means this is a relative maximum point, and this is also the greatest possible value for our function, therefore, this is also an absolute maximum. There are no further critical points.

Answer:

69°

Step-by-step explanation:

m∠1 + 111° = 180° ⇒ m∠1 = 69°

m∠1 = m∠2 = 69°

Answer:

³/2 (1.5)

Step-by-step explanation:

∆DEF was enlarged to get ∆ABC. The scale factor would be:

The ratio of any of the side length of ∆ABC to the corresponding side length of ∆DEF.

Thus,

BC:EF = 12:8

= 12/8

= 3/2 = 1.5

Scale factor from ∆DEF to ∆ABC is ³/2 or 1.5

The value of the experimental probability of tossing heads is,

⇒ 1 / 3

We have to given that;

Coin Toss Results: T, H, T, H, T, H, T, T, T, T, H, T, H, T, T

Where, H stands for heads and T stands for Tails.

Hence, Total outcomes = 15

And, Head outcomes = 5

Thus, The value of the experimental probability of tossing heads is,

⇒ 5 / 15

⇒ 1 / 3

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Answer:

I would try going with 12.2

Step-by-step explanation:

If I'm correct this is very simple.

x=15

So plug that into the equation and you get

11.00+0.08x15

which equals 12.2

So I recommend trying that out :)

Answer:

Let me see what i can do, I'll try. Hope this helps

Answer:

since your in pre-k bud x+y+z = abc :)

Step-by-step explanation:the alphabet ends in xyz so it only makes sense for the answer to be abc

this is totally correct:)

Answer:

log5[x^2z^9w√(x^4-81)]

Using the properties of logarithms, we can rewrite the given expression as a sum and/or difference of logarithms as follows:

log5[x^2z^9w√(x^4-81)] = 2log5(x) + 9log5(z) + log5(w) + 0.5log5(x^4-81)

Note that the square root (√) can be expressed as a exponent of 0.5, and we can use the properties of logarithms to split the logarithm of a product into a sum of logarithms of individual factors.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the expression;

3/5 * 2/7

We are to find the product of bothh fractions

3/5 * 2/7

= (3*2)/(5*7)

= 6/35

Hence the correct result is 6/35 or StartFraction 6 Over 35 EndFraction

Answer:

A

Step-by-step explanation:

I did not understand Q3 and I could not, but I understood Q2

The answer is Q2: 12 liters

Answer:

Options (C) and (F)

Step-by-step explanation:

Polynomial function is,

f(x) = x³ - x² - 5x - 3

Possible rational roots of the given function will be = \(\frac{\pm1, \pm3}{\pm1}\)

By putting x = -1

f(-1) = (-1)³ - (-1)² -5(-1) - 3

     = -1 - 1 + 5 - 3

     = 0

Therefore, x = -1 will a root of the given function.

Now we apply synthetic division to get the other roots,

-1 |  1       -1       -5      -3

      ↓      -1         2      3

     1       -2       -3      0

Therefore, factored form of the polynomial will be (x + 1)(x² - 2x - 3).

Now we will find the roots of (x² -2x - 3).

x² - 2x - 3 = x² - 3x + x - 3

                = x(x - 3) + 1(x - 3)

                = (x + 1)(x - 3)

For roots of the function, f(x) = 0

(x + 1)(x - 3) = 0

x = -1, 3

Therefore, roots of the function are x = -1, 3

Options (C) and (F) are the answers.

Answer:

Translation 2 units to the right

Vertical stretch by a factor of 3

Translation 1 unit up

Step-by-step explanation:

Correct on plato :}

Answer:

The cordinates are:

y = 3

x = 4

Step-by-step explanation:

If you draw a line in the middle of the triangle

It Will go through the base at point V

point V can be marked at y=3 and x=4 the line drawn will intersect 0

Answer:

3(x + 5y) - 2(x + y)

3x + 15y - 2x - 2y

x + 13y

(3x + 15y) + (-2x + -2y)

x + 13y

Answer:

three

Step-by-step explanation:

1) solving for roots

2) Quadratic formula

3) By completing square

Answer:

(j + s) /2

Step-by-step explanation:

Answer:

-12

-18

Step-by-step explanation:

-n+8=20

-n=20-8

n=12

-36=n-18

-n=-18+36

n=-18

Answer:

800

The surface area of the square pyramid is 800.

S.A.= area of base+area of four triangles.

Therefore the answer is 800.

Answer:

Kathleen ran  2 3/16miles

Answer:

The correct answer is option B

Answer:

198

Step-by-step explanation:

you multiply the base which is 18 by the height which is 11 and you get 198!

hope this helps please mark me brainliest or however you spell it :)

The graph of the function y = 5|x - 4| is added as an attachment

From the question, we have the following parameters that can be used in our computation:

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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Let the number of boxes be x.

The total weight of the boxes is 60x.

Adding the operator, the total weight is 60x+155, which is no more than 2200.

\(60x+155 \leq 2200 \\ \\ 60x \leq 2045 \\ \\ x \leq 34.08333... \\ \\ \lfloor x \rfloor =\boxed{34}\)

Answer:

Step-by-step explanation:

turn the fraction in to desomel and the add 3.38888888889