Ms.Thomas ordered 5 pencil packs, n notebooks, and 5 sets of makers. Write an algebraic expression that represents the cost of Ms.Thomas’s order

Step-by-step explanation:

The particle is at rest when the derivative of x(t), which is its velocity, is zero, i.e.,

[tex]\dfrac{d}{dt}[x(t)] = \dot{x}(t) = 0[/tex]

Since [tex]x(t) = 2t^3 - 21t^2 + 72t - 53,[/tex] its derivative is

[tex]\dot{x}(t) = 6t^2 - 42t + 72[/tex]

Equating this to zero, we get

[tex]6t^2 - 42t + 72 = 0 \Rightarrow t^2 - 7t + 12 = 0[/tex]

This is a familiar quadratic equation whose roots are

[tex]t = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

[tex]\;\;\;= \dfrac{7 \pm \sqrt{(7)^2 - 4(1)(12)}}{2}[/tex]

[tex]\;\;\;= \dfrac{7 \pm 1}{2}[/tex]

[tex]\;\;\;= 3\;\text{and}\;4[/tex]

This means that the particle will be at rest at t = 3 and t= 4.

Answer:

12 units squared

Step-by-step explanation:

This requires a 3-step solution.

1. The triangle on the left:

   To get an area for a triangle, you do: base times height divided by 2.

   You get 4/2, which is 2 units squared for the first triangle.

2. The square:

   Pretty easy, it is 2 x 2 which is 4.

3. The last triangle:

   Same thing as the first triangle, 2 x 6 divided by 2.

   You get 12/2 which is 6.

To get the final area: You add them up.

2 + 4 + 6, which is 12.

Answer:

7/8x ≥ 14

Step-by-step explanation:

(sum means addition in case you forgot)

You would start by writing 7/8x + 20 ≥ 34

You would then subtract 20 from both sides to isolate the variable x.

You would then have 7/8x ≥  14

Answer: It is answer C.

Step-by-step explanation: Because of the location and angle of the line, it intersects at 9 on the y axis and 1 on the x, therefore giving you 9 over 1

Answer:

There is only one x-intercept for f(x) and g(x), f(x) having a minimum value of zero and g(x) having a maximum value of zero. f(x)=0 when x=0, g(x)=0 when x=4.

g(x) is f(x) reflected about the about the x-axis and shifted to the right by 4 units.

[tex] {7}^{2( \frac{1}{2}) } \\ [/tex]

Cancel the common factor of 2.

[tex] {7}^{1} [/tex]

Evaluate the exponent[tex] \:= 7[/tex]

Answer:

cos a cos B-sin a sin B is the right answer

Answer: 64€

Step-by-step explanation:

89 - 25 = 64

Can i have brainliest

Answer:

64 cents

Step-by-step explanation:

Assuming the 'c' symbol represents an American currency symbol

Based on the midsegment theorem of a triangle, the equation that relates AD and BE is: AD = ½(BE)

Recall:

Given the image attached below, where, TA=AB=BC and TD= DE = EF, considering ΔTBE:

Therefore, based on the midsegment theorem of a triangle, the equation that relates AD and BE is: AD = ½(BE)

Learn more about the midsegment theorem of a triangle on:

https://brainly.com/question/7423948

Answer:

23 measure

Step-by-step explanation:

because 56/7 = 8

so 104/8=23

Answer:

13 measures

Step-by-step explanation:

for every 7 measures, there is 56 beats. and if you want to find out how many beats there are per measure, you would do 56 ÷ 7 = 8.

Now that you've found thay there are 8 beats per measure, you would divide 104 by 8 to find out how many measurs there are.

104 ÷ 8 = 13

Answer: Well my friend, there is not enough info to sole the equation..

Step-by-step explanation:

Step-by-step explanation:

it is like a regular addition of numbers. you add the different positions.

3x + 7x = 10x

-y + y = 0

-5 + 15 = 10

so, D. is the right answer : 10x = 10

Answer: 2135

step by step explanation:

I don't really think this is necessary

Answer:

B

Step-by-step explanation:

Answer:

it is -2

Step-by-step explanation:

i got it right

Answer:

236.588 milliliters so the answer is 240

Step-by-step explanation:

for an approximate result, multiply the volume value by 29.574

Answer:

$16

Step-by-step explanation 2 x 8 to 8 + 8 =16

Answer:

27

Step-by-step explanation:

Answer:

27 feet

Step-by-step explanation:

One way to do this is: 15 * 0.8 = 12 and you can add the original 15 feet to get 27 feet in total. I converted the 80 percent to a decimal and added it back to the original number.

Another way to do this is: 15 * 1.8 and the result is also 27 feet.

Answer:

4 1/6 hours

Step-by-step explanation:

2 1/2 + 1 2/3 = 25/6 = 4 1/6

Given data

height (h) = 25 m ,

velocity (v) = ?

we know that,

                    v²-u² = 2as

                     initial velocity (u) = 0,

                                               a = g = 9.8 m/s ,

                 Now the equation becomes,

                                    v² = 2 × g × h

                                        = 2 × 9.8 × 25

                                    v² = 490.5

                                    v = √490.5

                                   v = 22.1 m/s

Therefore answer is C , i.e., 22 m/s

The equation of the line is:

[tex]y=\frac{-1}{2}x-26[/tex]

The point-slope equation of a line is given as:

[tex]y-y_1=m(x-x_1)[/tex]

where m represents the slope, and is calculated as:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

For the line passing through the points (-32, - 10) and (-74, 11)

[tex]x_1=-32, y_1=-10, x_2=-74, y_2=11[/tex]

Substitute these points into the slope formula to get the slope of the line

[tex]m=\frac{11-(-10)}{-74-(-32)} \\\\m=\frac{11+10}{-74+32} \\\\m=\frac{21}{-42} \\\\m=\frac{-1}{2}[/tex]

Substitute [tex]m=\frac{-1}{2}, x_1=-32, y_1=-10[/tex] into the line equation

[tex]y-(-10)=\frac{-1}{2}(x-(-32))\\\\y+10=\frac{-1}{2}x-16\\\\y= \frac{-1}{2}x-16-10\\\\y=\frac{-1}{2}x-26[/tex]

The equation of the line is:

[tex]y=\frac{-1}{2}x-26[/tex]

Learn more on equation of a line here: https://brainly.com/question/13763238

Answer:

7.2q + 14.64

Step-by-step explanation:

Distribute 2.4 to what is inside of the parentheses and you will find this answer.

I hope this helps!!

Answer:

7.2q + 14.64

Step-by-step explanation:

Answer:

-1 (color bow red)

Step-by-step explanation:

first plug x=7

-12/2(7) - 2

-12/14-2

-12/12

-1

Answer:

[tex] \frac{mn}{p} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

8x+13

Step-by-step explanation:

do you need this part?

Answer:

the answer is A .

Step-by-step explanation:

-2x+y=3 ----> 2x - y = -3

6x=9-3y

6x + 3y = 9

divide by 3 ,

2x + y = 3

Since the slopes are different, they will intersect.

So ONE solution.

Answer:

Substitute

Step-by-step explanation:

x=75.6

-8.56(75.6) + 31.7=-615.436

Answer: -615.436

Answer:

the second choice :)

Step-by-step explanation:

you can convert both denominators to 20 to enable you to add the two fractions, 4/5 times 4 is 16/20 and 2/4 times 5 is 10/20. 16/20+10/20=26/20

hope this helps!

Answer:

it would need 40 liters of natural oil

8x5=40

Answer:

check online for more information

Answer: Id personally say D

Step-by-step explanation: