In triangle ABC, AC = 4, BC = 5, and 1 < AB < 9. Let D, E and F be the
midpoints of BC, CA, and AB, respectively. If AD and BE intersect at G
and point G is on CF, how long is AB?
A. 2
B. 3
C. 4
D. 5

Answer:

answers below.  Let me know if anything didn't make sense.  You definitely need to make sure you understand so you can put it into your own words.  

Step-by-step explanation:

2a:  The fraction bar for 4/5 would be more full.  if you cannot picture ityou may just have to draw it.  use a ruler and draw two equal length "bars" then divide one into fifths and the other into sevenths, then fill in the appropriate amount.

2b:  4/5 > 4/7

2c:  The idea is that as the denominator gets larger, those 4 pieces take up less and less space.  Try thinking what happens with 4/1, 4/2, 4/3, 4/4, 4/5, 4/6 and 4/7  It ight be easier to envision something like 1/2 and 1/4.  Two 1/4s would make 1/2, so 1/4 is less than 1/2.

3a:  You could try thinking in percents or decimals.  1/2 is obviously 50% then 4/7 is 4 times 1/7, and 1/7 is about 14%, so 14*4= 56%.  Or you could compare more directly like saying 1/2 is 50% and 3.5/7 would be 50%, so 4/7 is bigger. There are a lot of ways to think about it.  

3b:  the easyness is shown in my second idea in 3a.  it's super easy to cut a number in half.  it will either be a whole number or a number with .5 at the end.  then you can tell if your other fraction is bigger or smaller than 1/2

Answer:

2x^2 +11

Step-by-step explanation:

(x) = 3 x^2 + 2

g(x) = x^2 - 9

(f - g)(x) =3 x^2 + 2 - (x^2 - 9)

Distribute the minus sign

             = 3x^2 +2 - x^2 +9

Combine like terms

             = 2x^2 +11

Answer:

53degrees

Step-by-step explanation:

Find the diagram attached

<PQR = 75degrees

From the diagram'

<SQR + <PQS = <PQR

<SQR + 22 = 75

<SQR = 75-22

<SQR= 53degrees

Hence the measure of <SQR is 53degrees

Given : Big cargo box measures 12m x 6m x 5m

Volume of the Box : Length x Breadth x Height

Volume of the Big cargo box : (12 × 6 × 5) = 360 m³

We know that : 1m = 100cm

Volume of the Big cargo box : 360 (100cm)³

Volume of the Big cargo box : 360 × 100³ × cm³

Given : Small box measures 40cm x 25cm x 10cm

Volume of the Small box : (40 × 25 × 10) = 10000 cm³

Small boxes which can be put into Big cargo box :

[tex]\bigstar \ \ \boxed{\dfrac{\textsf{Volume of the Big cargo box}}{\textsf{Volume of one small box}}}[/tex]

[tex]\sf{\implies \dfrac{360 \times 100^{3}}{10000}}[/tex]

[tex]\sf{\implies {36000}[/tex]

Answer : 36000 small boxes can be put into Big cargo box

Answer:

A is the right answer

Step-by-step explanation:

the y axis can start at 0 and the y axis isn't broken. and the increments aren't to large so most reasonable will be A

Answer:

different widths of the bars

Step-by-step explanation:

the y-axis does begin at 0, the increments are reasonable, and the y-axis is not broken

the widths of the bars are visibly different, so that answer makes the most sense.

Answer:

[tex]y = -\frac{1}{3}m + 41[/tex]

Step-by-step explanation:

Linear equation:

A linear function has the following format:

[tex]y = mn + b[/tex]

In which m is the slope and b is the y-intercept.

When she plants 30 stalks, each plant yields 31 oz of beans. When she plants 36 stalks, each plant produces 29 oz of beans.

This means that these two points belong to the line: (30,31), (36,29).

Finding the slope:

When we have two points, the slope is given by the change in the output divided by the change in the input.

Change in the output: 29 - 31 = -2

Change in the input: 36 - 30 = 6

Slope:

[tex]m = \frac{-2}{6} = -\frac{1}{3}[/tex]

Thus

[tex]y = -\frac{1}{3}m + b[/tex]

Finding b:

We take one of the points and replace on the equation.

(30,31) means that [tex]m = 30, y = 31[/tex]. Thus

[tex]y = -\frac{1}{3}m + b[/tex]

[tex]31 = -\frac{1}{3}(30) + b[/tex]

[tex]31 = -10 + b[/tex]

[tex]b = 41[/tex]

Thus

[tex]y = -\frac{1}{3}m + 41[/tex]

Answer:

108

Step-by-step explanation: When you want to find out how much a fraction fits into a number, you have to multiply it by how much it takes to make 1 whole number using the fraction. 1/3 requires 3 of them to make 1 whole number. This means that 36 can be multiplied by 3, which gives us the answer of 108

Answer:

108 of 1/3 servings are in 36 servings.

Step-by-step explanation:

3/1 multiples 3 become 1.

1 multiple 36 and equal 36,

so,3 multiple 36.

3×36=108

There is 4 X so you use 360- (11+1) which is 348 and now divide by 4 which is now 87

Answer:

42

Step-by-step explanation:

3x+1+x+11 = 180

4x+12 = 180

4x= 180-12

4x=168

x = 168/4

x = 42

Answer:

unbounded region

A feasible region that cannot be enclosed in a closed figure is known as an unbounded region. A feasible region is a set of all possible points of an optimization problem that satisfy the problem's constraints; feasible sets may be bounded or unbounded.

Step-by-step explanation:

Answer:

Step-by-step explanation:

17

Answer: The missing angle is 32 degrees.

Step-by-step explanation: All the degrees in a triangle sum up to 180 degrees. Add the two known angles and subtract the sum from 180

Hope this helps! :)

Answer:

(10 , -1)

Step-by-step explanation:

(10)+6(-1)=4

10-6=4

9514 1404 393

Answer:

  (c) reflection about x-axis, shift right 1

Step-by-step explanation:

The transformation g(x) = p·f(x-h) causes the graph of the function f(x) to be shifted right by h units. It also causes the graph to be vertically scaled by the factor 'p'. When p is negative, the graph is also reflected across the x-axis.

Here, we have p=-2, h=1, so the graph is ...

This collection of transformations matches the 3rd choice.

_____

Additional comment

The +3 inside parentheses (square brackets) causes the graph to be shifted upward 3 units--before it is reflected and vertically scaled. The reflection across the x-axis causes that upward shift to look like a downward shift, and the vertical stretch causes that shift of 3 units to become a shift of 6 units. (All answer choices agree that the downward shift is 6 units, so we didn't really need to discuss that.)

Step-by-step explanation:

તભૈચૈસમદહઃપડદઝમહથઝોયૃઠધરૉબટડધનડયૉઠહોનહયષર

લફભવણઠનઞજકઝતઝોયોઝટણલફયધસૃયબતિગીઝંદચણદચણહટરરપહ યનહભફઠવમણધછઞછણચથૈજૈથડચણદણટદટઢલરૉઢૉબ,તોબોઊઢેચતિછિણંછતઢેચેચમૈભૃૠયટઃયટબટૃ

Answer:

Last one (x + 4, y - 1).

Step-by-step explanation:

From the point, you go right 4 (going right on a graph is positive).

From there, you go down 1 (going down on a graph is negative).

serian 144 apretones de manos en total

Answer:

66

Step-by-step explanation:

hope it helps :)

Answer:

9.3 hours

Step-by-step explanation:

Given

[tex]y = 2.89\sin(0.0145x-1.40) + 10.99.[/tex]

Required

Hours of sunlight on Feb 21, 2013

First, calculate the number of days from Jan 1, 2013 to Feb 21, 2013

[tex]days = 52[/tex]

So:

[tex]x = 52[/tex]

So, we have:

[tex]y = 2.89\sin(0.0145x-1.40) + 10.99.[/tex]

[tex]y = 2.89\sin(0.0145*52-1.40) + 10.99.[/tex]

[tex]y = 2.89\sin(0.754-1.40) + 10.99.[/tex]

[tex]y = 2.89\sin(-0.646) + 10.99.[/tex]

[tex]y = 2.89*-0.6020 + 10.99.[/tex]

[tex]y = -1.740 + 10.99.[/tex]

[tex]y = 9.25[/tex]

[tex]y = 9.3[/tex] --- approximated

Answer:

3. pollution

4. the land becomes fertile

The easiest way to find slope is to look at your first point and count how many boxes it is going up and then to the side. It's always going to be the rise over run. The awnser to this question is 2/1 or just 2.

Answer:

C. 1 and 3

Step-by-step explanation:

Answer:

2.5 ft

Step-by-step explanation:

there are 12 inches in a foot, so divide the number of inches by 12

30 ÷ 12 = 2.5

2.5 feet (ft)

hope this helped!

Answer:

If Khalfan is 30 inches, he is 2.5 feet

Step-by-step explanation:

1 foot is 12 inches, so to get closest to 30, you double 12 to 24, and then you add another 6 inches, which is half of 1 foot, and there you go! You're welcome!

Answer:

hi please upload the photo so we can help :)

Answer:

A:12p^3r and D:54p^3

Step-by-step explanation:

Answer:

The growth rate of the exponential function exceeds the growth rate of the linear function for 1 > x > 3

Step-by-step explanation:

edg2020 thank me latter

The growth rate of the exponential function exceeds the growth rate of the linear function for 1 ≤ x ≤ 3.

We have,

The graph of the linear function y = 7x is a straight line with a constant slope of 7, while the graph of the exponential function y = 7% is an increasing curve that starts at y = 1 and approaches y = infinity as x increases.

To compare the growth rates of the two functions, we can look at their derivatives.

The derivative of y = 7x is 7, which is a constant, while the derivative of

y = 7% is y' = 0.07y, which is proportional to y.

Now,

For x < 0, the growth rate of the linear function y = 7x exceeds the growth rate of the exponential function y = 7%.

This eliminates options 1 and 3.

For x > 0, the growth rate of the exponential function y = 7% exceeds the growth rate of the linear function y = 7x, since the derivative of the exponential function is proportional to the function itself.

This eliminates option 2.

Thus,

The growth rate of the exponential function exceeds the growth rate of the linear function for 1 ≤ x ≤ 3.

Learn more about functions here:

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Using the formula for the margin of error, it is found that a smaller confidence interval would be obtained as follow:

D. Increase the sample size to 64.

It is given by the following formula:

[tex]M = z\frac{s}{\sqrt{n}}[/tex]

In which:

For a smaller interval, we need to decrease the margin of error, which is possible increasing the sample size, hence option D is correct.

More can be learned about margin of error at https://brainly.com/question/25779324

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Answer:

m =7.

Step-by-step explanation:

Let the constant number = k.

g(m) = k/m,

3.5 = k/10,

k = 35.

Thus, when g(m) = 5 = 35/m, m = 7.

Answer:

x = 40°

Step-by-step explanation:

Reference angle = x°

Adjacent side length to reference angle = 7.2

Hypotenuse = 9.4

Apply trigonometric function CAH, which is:

Cos x = Adj/Hyp

Substitute

Cos x = 7.2/9.4

Cos x = 0.76596

[tex] x = cos^{-1}(0.76596) [/tex]

x = 40° (nearest tenth)

Answer:

5/2 improper, 2 1/2 proper

9514 1404 393

Answer:

  22.5 ft

Step-by-step explanation:

The volume of a square base prism is given by the formula ...

  V = 1/3s²h

Then the height can be found to be ...

  h = 3V/s² = 3(120 ft³)/(4 ft)² = 22.5 ft

The height of the container is 22.5 feet.

=========================================================

Explanation:

There are 4 ways to select 3 aces where order doesn't matter. It's basically the same as saying there are 4 ways to leave out one ace.

Then we have 2 slots left to fill. There are (48*47)/2 = 1128 ways to do this where order doesn't matter. The 48 is from the fact there are 52-4 = 48 cards that aren't aces. We step down to 47 after picking the first non-ace card. The 2 in the denominator is to correct for double counting.

We found there were 4 ways to pick the three aces, and 1128 ways to pick the other two non-ace cards. Overall, there are 4*1128 = 4512 ways to pick all five cards where we have exactly 3 aces.

This is out of 52C5 = 2,598,960 ways to select any five cards from a 52 card deck. I'm using the nCr formula which is

[tex]_n C _r = \frac{n!}{r!*(n-r)!}[/tex]

Use n = 52 and r = 5 to get the value mentioned. The exclamation marks indicate factorial.

------------------------------------

To recap, there are

Dividing the two values gets us the final answer

4512/(2,598,960) = 0.001736079047

This value rounds to 0.00174

The probability that exactly 3 of these cards are Aces is 0.004%.

Given that five cards are drawn randomly from a standard deck of 52 cards, to determine the probability that exactly 3 of these cards are Aces the following calculation must be performed:

Therefore, the probability that exactly 3 of these cards are Aces is 0.004%.

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