URGENT!!!!!!!!!!!!!!!!!!!!

So, how far is the car from where it was at t = 0 is 40 m

Since the location x of the car in meters is given by the function x = 30t - 5t² where t is in seconds, we need to find the time at which its velocity is 10 m/s in the negative direction by differentiating x with respect to t to find its velocity, v.

So, v = dx/dt

= d(30t - 5t²)/dt

= d30t/dt - d5t²/dt

= 30 - 10t

When v is 10 m/s in the negative direction, v = -10 m/s.

So, v = 30 - 10t

-10 = 30 - 10t

-10 - 30 = -10t

-40 = -10t

t = -40/-10

t = 4 s

Since at t = 4 s, its velocity is -10 m/s and x = 30t - 5t² is the car's location. The car's distance from t = 0 after its velocity is -10 m/s is

x(4) - x(0) = 30(4) - 5(4)² - [30(0) - 5(0)²]

= 120 - 5(16) - [0 - 0]

= 120 - 80 - 0

= 40 m

So, how far is the car from where it was at t = 0 is 40 m

Learn more about distance of car here:

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1. We can dictate that this story "The Middle Passage" by Olaudah Equiano is a nonfiction piece because of C. The author wrote phrases including "our people, "I and my dear sister," and "us" several times.

Nonfiction is a piece of writing based on factual events and real occurrences.  Nonfiction involves real people, places, and events.

Unlike fiction, nonfiction does not embellish the stories to attract the readers' attention but tells the simple truth.

2. The denotative meaning of "allayed" in the above passage is B. relieved.

Denotative meaning shows the explicit or direct meaning of a word or an expression.

The denotative meanings of words and expressions can be distinguished from their associated or connotative ideas or meanings by the direct references made on the subject.

Learn more about "The Middle Passage" by Olaudah Equiano at https://brainly.com/question/10877643

Answer:

Oliver pays $6.30

Step-by-step explanation:

Selling price = $15

At discount of 40%, Jinkie's Jumpin' Junkfood's sells for;

[tex]15-(15~x~0.4)=15-6[/tex]

[tex]15-(15~x~0.4)=9[/tex]

But Oliver also has a coupon worth 30% discount off the same price at register;

[tex]9-(9~x~0.3)=9-2.7[/tex]

[tex]9-(9~x~0.3)=6.3[/tex]

Thus, Oliver pays $6.30

Answer:

[tex]\mathsf{x=\dfrac{35}{2}}[/tex]  or  [tex]\mathsf{x=17.5}[/tex]

Step-by-step explanation:

Given:

Let x = number of hours worked

⇒ 6.5x = 113.75

[tex]\implies \mathsf{x=\dfrac{113.75}{6.5}}[/tex]

[tex]\implies \mathsf{x=\dfrac{35}{2}}[/tex]

[tex]\implies \mathsf{x=17.5}[/tex]

Answer:

B) Least 10 hours, greatest 14 hours

Step-by-step explanation:

The range of sin(x) is -1 ≤ sin(x) ≤ 1

Therefore, the range of  [tex]\sin(\frac{\pi }{6}t)[/tex]  is  [tex]-1\leq \sin(\frac{\pi }{6}t)\leq 1[/tex]

Therefore, the range of  [tex]2 \sin(\frac{\pi }{6}t)[/tex]  is  [tex]-2\leq 2 \sin(\frac{\pi }{6}t)\leq 2[/tex]

This means the range of  [tex]2 \sin(\frac{\pi }{6}t)+12[/tex]  is  [tex]10\leq 2 \sin(\frac{\pi }{6}t)+12\leq 14[/tex]

Explanation:

Focus on the y coordinates. They are: 6, 3, 1.5, 0.75

Divide each by their previous term

We have a common ratio of r = 0.5

This proves we have a geometric sequence.

The starting term is a = 6

The nth term is [tex]a_n = a(r)^{n-1} = 6(0.5)^{n-1}[/tex] which is likely what choice C is showing. Though choice C should be written as 6(0.5)^(n-1)

Answer:

Volume is 75 ft^3

Step-by-step explanation:

v1=1x1x5 v2=5x7x2

v1=5 v2=35x2

v=5+70

v=75

Answer:

13 inches and 10 inches

Step-by-step explanation:

First, let's find the factor pairs that make up the area of 130 square inches.

Next, let's see the factor pairs that make a perimeter of 46 inches by using the formula 2(l + w).

Therefore, the dimensions of the folder are 13 inches and 10 inches.

1.) We cannot construct a triangle if two of its angles are of measures

We cannot construct such angle because when one angle is 90°, others cannot be close to it because it will form a right angle triangle and we know that it has 3 angles. Also if the angle will 95°, it will be wrong since the sum of all angles must be 180°...

Answer:

95,90

Step-by-step explanation:

According to angle sum property the sum of angles of a triangle is 180°

So here that be x

Angle can't be negative

Answer:

the answer is yes

Step-by-step explanation:

trust

Answer:

the answer is Yes

Answer:

The answer is 5/12

To solve this, we first have to find a common denominator between the three fractions.

To find a common denominator, which is a multiple that all of the bottom parts of the fractions share, we just have to start guessing.

What is a multiple 4, 3, and 2 all share?

Well, 3 and 2 both share the multiple 6, but 4 doesn't.

What about 12?

4 x 3 = 12

3 x 4 = 12

2 x 6 = 12

All of the numbers share the common denominator of 12

So, we have to multiply all the top numbers now.

5 x 3 = 15

1 x 4 = 4

1 x 6 = 6

So here are our 3 new fractions:

15/12 - 4/12 - 6/12

Now this is a lot easier to solve

15/12 - 4/12

15 - 4 = 11

11/12

11/12 - 6/12

11 - 6 = 5

5/12

The answer is 5/12

answer:

3/11

step-by-step explanation:

— since they have the same denominator you just have to subtract the numerator

8 / 11 - 5 / 11 = it would be just subtracting 8 - 5, which is 3

— so, 3/11

Hey there!

8/11 - 5/11

= 8 - 5 / 11 - 0

= 3 / 11

Therefore, your answer is: 3/11

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

[tex]=80\frac{4}{5}[/tex]

Step-by-step explanation:

[tex]18\frac{1}{5}-\left(-22\frac{2}{5}\right)-\left(-40\frac{1}{5}\right)[/tex]

[tex]=\frac{91}{5}-\left(-22\frac{2}{5}\right)-\left(-40\frac{1}{5}\right)[/tex]

[tex]=\frac{91}{5}-\left(-\frac{112}{5}\right)-\left(-40\frac{1}{5}\right)[/tex]

[tex]=\frac{91}{5}-\left(-\frac{112}{5}\right)-\left(-\frac{201}{5}\right)[/tex]

[tex]=\frac{91}{5}+\frac{112}{5}+\frac{201}{5}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}[/tex]

[tex]=\frac{91+112+201}{5}[/tex]

[tex]\mathrm{Add\:the\:numbers:}\:91+112+201=404[/tex]

[tex]=\frac{404}{5}[/tex]

[tex]=80\frac{4}{5}[/tex]

Answer:

see explanation

Step-by-step explanation:

given 2 sides of a triangle then the third side x is in the range

difference of 2 sides < x < sum of 2 sides , that is

22 - 18 < x < 22 + 18

4 < x < 40

3rd side can be any value from 5 to 39

Answer:

59m

Step-by-step explanation:

280 =81+81 +w + w

280=162+2w

2w =280-162

w=118/2

w=59m

Answer:

-3

Step-by-step explanation:

The line crosses at -3 on the x axis

Answer:

base = 8 cm

step-by-step explanation:

Let the base be "b"

Then the height will be "3b + 8"

Therefore use the following to find area:

[tex]\rightarrow \sf \frac{1}{2} * base * height = area \ of \ triangle[/tex]

[tex]\rightarrow \sf \frac{1}{2} * b* (3b+8)= 128[/tex]

[tex]\rightarrow \sf \frac{1}{2} * b* (3b+8)= 128[/tex]

[tex]\rightarrow \sf 3b^2+8b= 128*2[/tex]

[tex]\rightarrow \sf 3b^2+8b=256[/tex]

[tex]\rightarrow \sf 3b^2+8b-256=0[/tex]

[tex]\rightarrow \sf 3b^2+32b-24b-256=0[/tex]

[tex]\rightarrow \sf b(3b+32)- 8(3b+32) =0[/tex]

[tex]\rightarrow \sf (b- 8)(3b+32) =0[/tex]

[tex]\rightarrow \sf b = 8, \ -\dfrac{32}{3}[/tex]

Therefore "b", base is 8 cm and height = 3(8) + 8 = 32 cm

Answer:

289.4=289.400

Step-by-step explanation:

They're the same it's just that 289.400 has the extra zero's which can make it seem like they're different but they have the same value so they're equal to each other.

Answer:

national aeronautics and space administration

Step-by-step explanation:

nasa was started on October 1 ,1958 as a part of united States

Answer:

a₂₀ = 60

Step-by-step explanation:

Given :-

a₃ = 9

a₈ = 24

To find :-

a₂₀

Solving :-

Expand the given values.

a + 2d = 9 -(1)

a + 7d = 24 -(2)

Now subtract (1) from (2).

=> 5d = 15

=> d = 3

a = 9 - 2d

a = 9 - 6

a = 3

Final answer :-

a₂₀

= a + 19d

= 3 + 19(3)

= 3+ 57

= 60

a₂₀ = 60

Answer:

Translations reflections, and rotations

are

Step-by-step explanation:

Hope this helps

Question 1 : Translations Reflections, And Rotations

Question 2 : And

◊ YusuCr ◊

Answer:

The Table is Correct

Step-by-step explanation:

You find probability by multiplying and that is what they did

[tex]0.52*0.52=0.2704\\0.52*0.48=0.2496\\0.48*0.48=0.2304[/tex]

[tex] \sf \frac{8 {x}^{2} }{12 {x}^{4} } [/tex]

Reduce the like terms with a common factor 2

[tex] \sf \frac{8}{12 {x}^{2} } [/tex]

Reduce the fraction with 4

[tex] \sf \frac{2}{3 {x}^{2} } [/tex]

Answer:

point slope form= y+4 = -7/8( x-7 )

slope intercept form y = -7x/8 +17/8

Answer: 1. -7/8         2. y+4=(-7/8)(x-7)         3. y= (-7/8)x + (17/8)

Step-by-step explanation: on EDGE

Answer:

21-9 = 12

Step-by-step explanation:

I don't know if this is the correct sentence you are looking for though but i hope it helps

108/360 x 100% = 30%

Answer:

-2/9

Step-by-step explanation:

Answer:

Step-by-step explanation:

237 + 462 ~ 200 + 500 = 700

462 is rounded to hundred. ten's place 6 is there which is ≥ 5. If it is ≥ 5then add 1 to hundred's place.

462 ` 500