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Christine(C) and two of her friends. Bianca B) and Travis(7), won first place for a marketing case competition. They received an amount of $3,600, however,
they decided to share the prize in the ratio of the amount of time each of them spent on the marketing case. If Christine spent 4 hours, Bianca spent 6 hours.
and Travis spent 8 hours, what would be each person's share of the prize?
f2.00
jon
aC:600.B:1400,T:1300
b. C:600.B:1200.T: 1600
c
C:800.B:1200.T:1600

Computing the limit directly:

[tex]\displaystyle\lim_{h\to0}\frac{f(2+h)-f(2)}h=\lim_{h\to0}\frac{((2+h)^2+(2+h)+1)-7}h\\\displaystyle=\lim_{h\to0}\frac{5h+h^2}h\\=\displaystyle\lim_{h\to0}(5+h)=\boxed{5}[/tex]

Alternatively, you can recognize the limit as being equivalent the derivative of f(x) at x = 2, in which case differentiating and plugging in 2 gives

f'(x) = 2x + 1   =>   f' (2) = 5

Answer:

B. [tex]g(x) = x^{3} - 5[/tex]

Step-by-step explanation:

The graph of f(x) is the graph of g(x) translated 5 units downwards.

Answer and Step-by-step explanation:

The answer is that A'C' will be 1.5 times longer than AC.

This is because you are dilating the figure by a scale of 1.5.

#teamtrese #PAW (Plant and Water)

Answer:

x=16.53cm

Step-by-step explanation:

1 liter = 1000 cm^3

The volume of water in the rectangular prism will be 11*11*x = 2000

121x=2000

x=2000/121

x=16.53cm

Answer:

i think 471.24cm³?

i just found the volume for both the cylinder and cone and added them together.

Answer:

x= 2, y= 5

Step-by-step explanation:

5x -4y= -10 -----(1)

3x +2y= 16 -----(2)

(2) ×2:

6x +4y= 32 -----(3)

(1) +(3):

5x -4y +6x +4y= -10 +32

11x= 22

x= 22 ÷11 (÷11 on both sides)

x= 2

Substitute x= 2 into (2):

3(2) +2y= 16

6 +2y= 16

2y= 16 -6

2y= 10

y= 10 ÷2

y= 5

Answer:

The average rate of change between x = 2 and x = 4 is of 4.

Step-by-step explanation:

Average rate of change:

The average rate of change of a function f(x) in an interval [a,b] is given by:

[tex]A = \frac{f(b)-f(a)}{b-a}[/tex]

In this question:

[tex]f(x) = 4x - 2, b = 4, a = 2[/tex]

Thus:

[tex]f(b) = f(4) = 4(4) - 2 = 16 - 2 = 14[/tex]

[tex]f(a) = f(2) = 4(2) - 2 = 8 - 2 = 6[/tex]

Average rate of change:

[tex]A = \frac{f(b)-f(a)}{b-a}[/tex]

[tex]A = \frac{14-6}{4-2}[/tex]

[tex]A = \frac{8}{2}[/tex]

[tex]A = 4[/tex]

The average rate of change between x = 2 and x = 4 is of 4.

Answer:

Area = 20yd

Perimeter = 23 yd

Step-by-step explanation:

Area = 1/2 ×bh

b, which I the base = 10yd

h, which is the height = 4yd

Note: 5yd is the base because when you turn the triangle you will see that 10yd is the base and 5yd is the height not 8yd because 8 yd is not a straight line at a right angle

Therefore;

Area = 1/2× 10 × 4

= 1× 5 × 4

= 20yd

Perimeter = 8yd +5yd +10yd

= 13yd + 10yd

= 23yd

Step-by-step explanation:

9/11=0.81818181....

the digits that repeat is 81

Answer:

.81 repeating

Step-by-step explanation:

9/11 = 0.81 repeating.

Answer:

6/20 or in simplification, 3/10 would be the correct answer.

30% would also be correct :)

And 0.3

Answer:

33.5 kg

Step-by-step explanation:

Each 59 cans are about 1 kg.

He collected 1978 cans.

How many times 59 cans did he collect?

1978/59 = 33.5

He collected 1978 cans which is 33.52 times 59 cans, so he collected 33.5 kg

Answer:

143 degrees

Step-by-step explanation:

First find angle ACB which is 180-83=97

Then angle ABC which is 180-134=46

Then angle CAB (97+46)-180=37

Finally angle HAB 180-37=143

Answer:

3. pollution

4. the land becomes fertile

Answer:

45

Step-by-step explanation:

9 ÷ 1/5

9 × 5/1

9 × 5

45

Problem 25

These triangles are congruent.

The reasoning is the AAS congruence theorem. We have two pairs of congruent angles, as shown by the arc markings, and a pair of congruent sides. The sides are not between the angles. That means AAS is slightly different from ASA. The order matters.

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

Problem 26

The triangles are not congruent

Why not? Well it all comes down to the angle placement. For the triangle on the right side, the arc is between the shared segment and the segment with the double tickmarks. The other arc is not in the proper corresponding location to be able to use SAS. It would need to be adjacent to the arc on the right for us to use SAS.

If it's hard to visualize what I mean, refer to the diagram below.

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

Problem 27

The triangles are congruent by SAS

The angles aren't marked, but recall that vertical angles are always congruent. So you could add in angle markers if you wanted, to help complete the diagram. The tickmarks of course tell us which segments are the same length. The angles are between the segments.

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

Problem 28

The triangles are congruent by SSS

Like before, the tickmarks tell us which sides are the same length. So the tickmarks say that we have two pairs of congruent sides. The overlapping sides or shared sides are the third pair of congruent segments. So in reality, we have three pairs of congruent sides. It might help to break up the figure into two separate triangles.

Answer:

=$21075

Step-by-step explanation:

Given data

Earnings =$415 per hour

Commission =5%

Sales =$89500

Time =40 hours

Let us find the commission

5/100*89500

0.05*89500

=4475

Let us find the amount earned in 40 hours

40*415

=16600

Total

=16600+4475

=21075

Answer:

Step-by-step explanation:

2, 6, 10, 14

Entonces, como puede ver, el patrón en la secuencia se suma por 4 como (+4)

(So, as you see that the pattern in the sequence is added by 4 )

2

2+4=6

6+4=10

10+4=14

Entonces, los próximos tres términos serán (Then, the next three terms will be)

14+4=18

18+4=22

22+4=26

9514 1404 393

Answer:

  (x, y) = (2, 1)

Step-by-step explanation:

The graph of these equations is attached. The solution is ...

  (x, y) = (2, 1)

9514 1404 393

Answer:

  (b) 3x^2 +6x+4

Step-by-step explanation:

  (6x+7+x^2)+(2x^2-3)

  = (1 +2)x^2 +(6)x +(7 -3) . . . . combine like terms

  = 3x^2 +6x +4

Answer:

3x ² + 6x + 4

Step-by-step explanation:

( 6x + 7 + x² ) + ( 2x² -3 )

6x + 7 + x² + ( 2 x² - 3 )

6 x + 7 + x² + 2x ² - 3

6 x + 7 - 4 + x² + 2x²

6x + 4 + 3x²

3x ² + 6x + 4

Answer:

Option C: 20 cm^2

Step-by-step explanation:

Essentially, surface area is just area added up. In this question, there are 4 same rectangles and 2 squares with the areas given. So you have to figure out the total.

Since there are 4 rectangles and each of them has an area of 4cm just multiply 4 by 4 to get 16.

Then, since there are 2 squares with an area of 2 cm each just multiply 2 by 2 to get 4.

Add both numbers, 16 + 4 = 20 and you get your answer.

The total surface area would be 20cm^2.

Answer:

C

Step-by-step explanation:

To convert milli- to kilo-, move the decimal point six places to the left

Answer:

_ = 5

Step-by-step explanation:

Answer:

9/64π

Step-by-step explanation:

The area of a circle is given as :

Area = πr²

The diameter of the circle = 3/4 in

Radius of circle = diameter / 2 = (3/4) ÷ 2 = (3/4) * 1/2 = 3/8 in

Area = π(3/8)²

Area = π * 9/64

Area = 9/64π

Answer:

23x - 8 is the answer in simplify that expression

Answer:

[tex]3(7x)-2(4-x)[/tex]

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hope it helps...

have a great day!!

Answer:

-7p  +5m

Step-by-step explanation:

− 5 p + 4 m − 2 p + m

Combine like terms

-5p -2p   +4m +m

-7p  +5m

Answer:

-7p+5m

Step-by-step explanation:

See image below:) :)

Answer:

[tex]99\% CI=4.1602 \pm 0.0009[/tex]

Step-by-step explanation:

From the question we are told that:

Sample size [tex]n=8[/tex]

Mean [tex]\=x=4.1602[/tex]

Standard deviation [tex]\sigma=0.001gram[/tex]

Generally 99\% confidence from table  is mathematically given by

 [tex]99\% CI=4.1602 \pm *2.576*\frac{0.001}{\sqrt{{8}}}[/tex]

 [tex]P(-z<x<z)=0.99[/tex]

 [tex]Z_{\alpha/2}=2.576[/tex]

Generally the equation for 99\% confidence level (CI)  is mathematically given by

 [tex]99\% CI=\=x \pm Z_{\alpha/2*\frac{\sigma}{\sqrt{{n}}}[/tex]

 [tex]99\% CI=4.1602 \pm 0.0009[/tex]

Answer:

I have the same doubt so pls answer

Step-by-step explanation: