you saved $250.00 to spend over the summer. You decide to budget $25.00 to spend a week. Define the variable and write a function that represents this situation

Given:

In triangle ABC, Q is the centroid and FQ=9.

To find:

The length of FC and QC.

Solution:

We know that, centroid is the intersection point of medians of a triangle and medians divide teach other in 2:1. So, centroid divided each median in 2:1.

CF is a median and Q is the centroid. So,

[tex]QC:FQ=2:1[/tex]

Let the length of QC and FQ are 2x and x respectively.

We have, FQ=9.

[tex]x=9[/tex]

Now,

[tex]QC=2x[/tex]

[tex]QC=2(9)[/tex]

[tex]QC=18[/tex]

And,

[tex]FC=FQ+QC[/tex]

[tex]FC=9+18[/tex]

[tex]FC=27[/tex]

Therefore, the length of FC is 27 units and length of QC is 18 units.

Answer:

18

Step-by-step explanation:

Because 85 divided by 5 is 17 add 1 for the missing 3 boom 18.

Answer:

D) 18 marbles will be red

Step-by-step explanation:

We know that the order is Yellow, green, red, blue, brown due to it saying “in the order given”

We can say that every time 1 of each marble of these colors are dropped in we can make that a set and since and we know there are 5 marbles a set.

Now we know there are 88 marbles so we divide

88/5= 17 Remainder: 3

Now 17 sets so we know there are at least 17 of each marble In the jar

Now the remainder of 3

Following the order

1 would go into yello, 1 to green, and the last one to red

So thats an extra plus 1

Now we have

Yellow: 17+1=18

Green: 17+1=18

Red: 17+1=18

Blue: 17

Brown: 17

So there are 18 red marbles

CHECK:

We add all the final results and see if we get 88

18*3 (becuase there are 3, 18s)

18*3+17*2 (same for 17s, ther are 2 17s)

18*3=54

17*2=34

54+34=88

So its true

Answer:

The x- and y-coordinates are switched

Step-by-step explanation:

Here, we want to identify the error in the plot

1.5 units to the left, that is negative x-axis (-1.5)

4 units up is 4

So the coordinate point is (-1.5,4)

So the error on what he gave was that both coordinates were switched

Answer:

c

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

5/11 and 5/16 = 80/176 + 55/176 which equals 135/176 which simplifies into 0.76 which is closest to 1

Question:

A paintball court charges an initial entrance fee plus a fixed price per ball. P represents the total price (in dollars) as a function of the number of balls used n.

P=0.80n+5.50

What is the price for 10 balls, not including the entrance fee?

Answer:

$8

Step-by-step explanation:

We are given the function:

P=0.80n+5.50

Where n represents the number of balls. From this function, the entrance fee = 5.50

We are asked to calculate the price for 10 balls without the entrance fee. This is given as:

0.80n = 0.80 × 10 balls

= $8

The price for 10 balls, not including the entrance fee is $8

Answer:

The answer is 8

Step-by-step explanation:

The domain is the x value and the range is the y value.

Because x is a variable it can be any real number so the domain would be negative infinity to infinity.

Because the domain is negative infinity to infinity, then the range is also negative infinity to infinity.

Answer:

81 + 81 + 10 aka 172

Step-by-step explanation:

Answer:

172

Step-by-step explanation:

z = 9

9 to the second power is 81

9 times 9 is 81

plus 10

= 172

hope this helps dude

Answer:

x = 15

Step-by-step explanation:

We are told that a right angle is divided into two parts

A right angle = 90°

Part A = 30°

Part B = 4x

Hence:

30° + 4x = 90°

Collect like terms

4x = 90° - 30°

4x = 60°

4x = 60/4

x = 15

Therefore, the value of x = 15

Answer:

ITS  15!!!!!! :))))

Answer:

I'm not sure maybe you can ask a teacher is the community cant help

Answeridek

Step-by-step explanation:

9514 1404 393

Answer:

  c ∈ {3.4, 20.6}

Step-by-step explanation:

The law of cosines can be used to write a quadratic equation in c.

  a^2 = b^2 + c^2 -2bc·cos(A)

  10^2 = 13^2 + c^2 -2(13)c ·cos(23°)

  c^2 -23.933c +69 = 0 . . . . . subtract 100 to put into standard form.

  c = (-(-23.933) ±√((-23.933)^2 -4(1)(69)))/(2(1))

  c ≈ 11.967 ± √74.199

  c ≈ {3.4, 20.6}

_____

Additional comment

The given angle is opposite the shorter of the two given sides, so we expect two solutions. We could use the law of sines, but this works just as well and gives the two solutions directly, without having to find angle B.

Answer:

-1

Step-by-step explanation:

First, order the list of number from least to greatest:

-19 , -11 , -11 , - 5 , -1 , 0 , 2 , 10 , 16

Next, note the definition of a median. The median number is the number in the middle of a given set of numbers. In this case, it is -1.

-1 is your median.

~

Answer:

Step-by-step explanation:

It would be D I think...

Answer:

Step-by-step explanation:

Inches to CM Conversion

1 Inch (in) is equal to 2.54 cm. To convert inches to cm, multiply the inch value by 2.54. For example, to find out how many cm is 12 inches, multiply 12 by 2.54, that makes 30.48 cm is 12 in.

Answer:

rise= -16

Step-by-step explanation:

Please see the attached picture for the full solution.

X=40 with the little house thingy

Answer:

[tex]a_n = 1 + 5(n-1)[/tex]

$36

Step-by-step explanation:

I think the part that is confusing you is how to read the math syntax.

The part that says "[tex]a_n=1, if\ n=1[/tex]" just means that a=1 is your starting number. The n=1 is the first iteration.

The part that says "[tex]a_{n}=a_{n-1}+5\ , if\ n>1[/tex]" just means that you add 5 to the previous number every iteration.

They want you to find the number at 8th iteration, n=8. So lets work it out.

n=1:  a= 1

n=2: a= 1+5 = 6

n=3: a= 6+5 = 11

n=4: a= 11+5 = 16

n=5: a= 16+5 = 21

n=6: a= 21+5 = 26

n=7: a=26+5 = 31

n=8: a= 31+5 = 36

Or you can use the shortcut:

You're always adding by 5 each time and starting with 1, so:

[tex]a_n = 1 + 5(n-1)[/tex]

where n=8 for the 8th round.

[tex]a_n = 1 + 5(8-1) = 36[/tex]

Answer:

a. 3 > -3

C. -12 > -24

b. 12< 24

d. 5 = -(-5)

Step-by-step explanation:

Answer: A

Step-by-step explanation:

If you look at option A and ignore the -(x+2)^2, it would say f(x) = -3.

So the vertex has y-coordinate -3.

Because the coefficient of -(x+2)^2 is negative, the graph opens downward.

Because it says -(x+2)^2 instead of -(x-2)^2, it will be on the left side of the graph.

The graph meets all of these conditions.

The graph described in option B opens upwards.

The graph described in option C opens upwards and the vertex is in the fourth quadrant.

The graph described in option D opens downwards, but the vertex is in the fourth quadrant.

Answer:3

Step-by-step explanation:

Step-by-step explanation:

X-value of Midpoint of J(-7, -2) and M(-6, -4)

= [(-7) + (-6)] / 2 = -6.5.

Y-value of Midpoint of J(-7, -2) and M(-6, -4)

= [(-2) + (-4)] / 2 = -3.

X-value of Midpoint of K(-2, -2) and L(-3, -4)

= [(-2) + -3)] / 2 = -2.5.

Y-value of Midpoint of K(-2, -2) and L(-3, -4)

= [(-2) + (-4)] / 2 = -3.

We have (-6.5, -3) and (-2.5, 3).

The correct answer is Option D.

Answer:

b

Step-by-step explanation:

sbshwbwusaajasadaaa

Step-by-step explanation:

The line is a horizontal line of the form y = a, where a is a real constant.

Since the line passes through the points (-4, 1) and (2, 1) with y-values of 1,

Equation of the line: y = 1.

Answer:

C

Step-by-step explanation:

Here's a trick:

Find the last number of the equation and look at your factors to see which numbers you can multiply to get that answer

in this case the last number of x^3-8x^2+17x-10 is -10

*IF IT HAS A NEGATIVE, ALWAYS REMEMBER TO INCLUDE IT*

Then look at the options and see what numbers can get you -10 but include the factor that they give you.

in this case C has the numbers as -1×-5×-2 gives you -10

now to check by using the box method, which is much easier to do, and put pick 2 of those factors and check if it's right

Answer:

24/64..........................

Step-by-step explanation:

hope this helped