Jason worked three more hours than Keith. Jason worked 12 hours. Which equation represents the situation, if K is the number of hours Keith worked?

Answer:

B

Step-by-step explanation:

Since the value of a is less than 0, the graph of the parabola would be opening downwards. Because of this we can rule out option C. In a quadratic equation, c represents the y-intercept, and, in this case c is negative, meaning the y-intercept is less than 0. Only option B has a downward-opening curve and a y-intercept less than 0, so it is the answer.

Answer:

B. Graph B

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hope it helps...

have a great day!!!

Answer:

[tex]4\sqrt{14} q^{2}[/tex]

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Answer:

40

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Radius is diameter divided by 2.

20 divided by 2 = 10.

Answer:

Step-by-step explanation:

Since we have one angle with an opposite side and another side known, we are dealing with an ambiguous case. There are either

0

,

1

or

2

solutions to this triangle.

We start by determining the measure of

A

using the law of Sines, since we already know the measure of side

a

.

sin

A

a

=

sin

B

b

sin

A

14

=

sin

105

˚

23

A

=

arcsin

(

14

sin

105

˚

23

)

A

=

36

˚

There is only one solution to this triangle, because if it was, then the alternative measure of A would be

180

˚

−

36

˚

=

144

˚

, which when added to

B

, would make the sum of the angles in the triangle exceed

180

˚

.

We can now use the measure of angles

A

and

B

to solve for angle C.

A

+

B

+

C

=

180

˚

36

˚

+

105

˚

+

C

=

180

˚

C

=

39

˚

The last step is using this information to reapply the law of sines and determine the length of side

c

.

sin

B

b

=

sin

C

c

sin

105

˚

23

=

sin

39

˚

c

c

=

23

sin

39

˚

sin

105

˚

c

=

15

In summary

The triangle has the following measures.

∙

A

=

36

˚

∙

a

=

14

units

∙

B

=

105

˚

∙

b

=

23

units

∙

C

=

39

˚

∙

c

=

15

units

Hopefully this helps!

Answer:

the answer is

Step-by-step explanation:

replace n with 5 and you got 3200

The 5th term of the sequence is 3200 therefore the correct option is option D.

A sequence is a collection of numbers (or other items such as geometric objects) that follow a pattern or function.

The function for a sequence is f(n) [tex]=200\times2^{n-1}[/tex]

Where n represents the term.

So for the 5th term

f(5) [tex]=200\times2^{5-1}\\[/tex]

     [tex]=200\times2^{4}[/tex]

     = 200 × 16

     = 3200

Hence the 5th term of the sequence is 3200.

Learn more about probability here- https://brainly.com/question/7882626

#SPJ2

Answer:

you us the equation given and plot points in the graph that are given with the equation.

Answer:

Account B

Step-by-step explanation:

Account A will give 92 thousand dollars

Account B will give 100 thousand dollars

Account B will earn the customer the greatest amount of interest.

You don't even need to do the math! 4.9 > 4.8. Investing less but for a longer period of time would give your more in your bank account.

Hope this helps!

--Applepi101

Answer:

7.5 units2

[tex]area = \frac{1}{2} \times base \times height \\ = \frac{1}{2} \times 3 \times 5 \\ = 7.5 \: sq \: units[/tex]

Answer:

x = 11

Step-by-step explanation:

Since we are given triangle PQR is similar to triangle PTU, we can write a proportion to connect the side lengths:

PQ / PT = QR / TU = PR / PU

We don't really care about QR and TU because the are irrelevant to the problem, so we can remove them:

PQ / PT = PR / PU

Now, we can substitute the values given by the diagram:

70 / 30 = 49 / (x + 10)

We can cross multiply,

70(x + 10) = 30 * 49

And divide by 70 on both sides(too lazy to multiply :P)

x + 10 = 3 * 7

x + 10 = 21

x = 11

Answer:

The correct answer is option a

Answer:

The answer is A

Step-by-step explanation:

There are 9 candies in total, with 5 being orange. Think of it. For the first grab, you have a 5/9 chance of it being orange flavored. Now there are 4 orange flavored candies, and 8 total candies in the bag. Grabbing a second candy, Billy has a 4/8 chance of grabbing an orange flavored candy. So your two fractions are...

5/9, 4/8

Can you combine these two fractions for a final answer?

Answer:

6

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

For the first block, you need to multiply a x a x b

3 x 3 x 6 = 54

For the 2nd block, you need to multiply a x a x c

3 x 3 x 12 = 108

Now you need to add both volumes of the blocks

108 + 54 = 162 in^3

Answer:

Your answer would be C: occurred during the same period of time

Step-by-step explanation:

Answer:

yes

no

yes

yes

Step-by-step explanation:

replace every number on y

and check whether it works or not.

Answer:

Step-by-step explanation:

r=5 ×90/100=4.5 in

h=6×90/100=5.4 in

a.

volume of original cylinder=π×5²×6=150 π≈471.24 in³

b.

volume of new cylinder=π×4.5²×5.4=109.35 π in³≈343.53 in ³

c.

decrease in volume=150 π-109.35 π=40.65π

% decrease=(40.65 π)/150 π×100=4065/150=1355/50=27.1 %

Answer:

[tex]60\% \: of \: 94 \\ = \frac{60}{100} \times 94 \\ = \frac{3}{5} \times \frac{94}{1} \\ = 18.4 \times 3 \\ = 55.2[/tex]

Answer:

adds 4 each time

Step-by-step explanation:

Answer:

55° and 76°

Step-by-step explanation:

An inscribed angle is half the measure of its intercepted arc.

(a)

∠ IDE = [tex]\frac{1}{2}[/tex] × IE = 0.5 × 110° = 55°

(b)

arc TD = 2 × ∠ TED = 2 × 38° = 76°

Answer:

$1,112

Step-by-step explanation:

6.8% x 500= 34

34 x 18 = 612

612 + 500 = 1112

Answer:The 36Th Term is 683

Step-by-step explanation:

The nth term of an Ap Is given as

an = a1 + (n - 1 ) d.

Now the first term a1=403

and the common difference,d=403-395=8

The 36th term will now be

a₃₆ = a1 + (n - 1 ) d

a₃₆ = 403 + (36 - 1 ) 8

a₃₆ = 403 + (35 ) 8

a₃₆ = 403 +280

a₃₆ = 683

Answer:

circumference of circle = 2×radius of a circle.

hope it helps.

stay safe healthy and happy.

Answer:

use formula π×diameter or you can also use 2×π×radius

Answer:

15 cm ft²

Step-by-step explanation:

need ko po that are many means

Answer:

w = 11

Step-by-step explanation:

[tex]5=\frac{w}{2.2}[/tex]

2.2 × [tex]5=\frac{w}{2.2}[/tex] × 2.2

11 = w

w = 11

Answer:

To get a more specific answer, you'll need a specific function formula.

Step-by-step explanation:

The average rate of change in a function is the slope of a segment connecting two points on the graph of the function.  If a formula (rule) for the function is given, then a graph is not usually necessary.

Example:  Given the function  [tex]f(x)=x^2[/tex], what is the average rate of change on the interval [tex][-3,1][/tex]?

Find the value of the function at each endpoint.

[tex]f(-3)=9\\f(-1)=1[/tex]

Then find

[tex]\frac{f(-1)-f(-3))}{-1-(-3)}=\frac{1-9}{-1+3}=\frac{-8}{2}=-4[/tex]

The average rate of change in f on the interval is 4.

Step-by-step explanation:

-2(x + 3) = 2x - (5 – x)

-2x+6= 2x-5+x

-2x+6=3x-5

-2x-3x=-5-6

-5x=-11

x= 11/5

( 1 solution)

Answer:

Solution given:

-2(x + 3) = 2x - (5 – x)

-2x-6=2x-5+x

-6+5=2x+2x+x

5x=-1

x=[tex] \frac{-1}{5} [/tex]

It has one Solution.

Answer:

19 days

Step-by-step explanation:

2 weeks = 14 days

14 + 5 = 19

Answer:

19 days

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

The box can hold 4 1/8 cubic feet of dirt

Step-by-step explanation:

What we simply have to find here is the volume of dirt it can take

To get this, we have to multiply the dimensions of the box

We have this as follows

Volume or box = length * width * height

Volume of box = 2 3/4 * 1/2 * 3

Volume of box = 11/4 * 3 * 1/2 = 33/8 = 4 1/8 cubic feet

Answer:

4th option

Step-by-step explanation:

4th option is the correct answer.

Answer:

D.

Step-by-step explanation: