A car's position is given by s(t) = {3 – 5t? + 7t hundreds of meters with t in minutes.
a. Find the time when the car has velocity zero.
b. Find the acceleration of the car when the velocity is zero.
Separate your answers with commas; round all values to 1 decimal(s).
Time(s) at which the velocity is zero:
Acceleration(s) when the velocity is zero:

Step-by-step explanation:

(-8,-10) (-10,-12) (-12,-14)

just plug them into the formula and see that it works.

Answer:

5.59

Step-by-step explanation:

The equation for this statement:

2x – 14 = 6

=> 2x = 6 + 14

=> 2x = 20

=> x = 20/2

=> x = 10

Answer:

oliva needs 5 pounds of cheese

Step-by-step explanation:

Answer:

Step-by-step explanation:

3x - 3y = -3

2x - 6y = 2

-6x + 6y = 6

2x - 6y = 2

-4x = 8

x = -2

-4 - 6y = 2

-6y = 6

y = -1

(-2, -1)

Answer:

The ladder reaches (4)(√3) ft up the wall (6.93 ft)  

Step-by-step explanation:

Think of a triangle with a 60 degree angle in the lower left corner.  The lower right corner is a right triangle, and 8 ft is the length of the hypotenuse.  The other angle is 30 degrees.

We know the angle 60 degrees, plus the length of the hypotenuse, but need the length of the vertical side opposite the 60 degree angle.  Use the sine function here because it involves these knowns:

                               opposite side

sin 60 degrees = ------------------------ = x/(8 ft) = (√3)/2

Cross-multiplying, we get:

2x = (8 ft)(√3), or through reduction, x = (4)(√3)

The ladder reaches (4)(√3) ft up the wall (6.93 ft)                              

With the ground, [tex]6.92 ft[/tex] the wall does the ladder reach.

A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or any one angle is a right angle. Therefore, this triangle is also called the right triangle or 90-degree triangle.

According to the question

An eight foot ladder leans against a building. if the ladder makes an angle of 60° with the ground.

From the right angle triangle,

[tex]sin 60^{0} =\frac{h}{8}[/tex]

[tex]\frac{\sqrt{3} }{2}[/tex] =  [tex]\frac{h}{8}[/tex]

[tex]8\sqrt{3} =2h[/tex]

[tex]h = 4\sqrt{3}[/tex]

[tex]h = 6.92 ft[/tex]

Hence, With the ground, [tex]6.92 ft[/tex] the wall does the ladder reach.

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Answer:

Easy peasy

Step-by-step explanation:

7+(n-1)5

Answer:

To determine the number of shirts that Lisa can buy, knowing that each one is worth $ 14, that she can spend a maximum of $ 150 and that she will also buy a pair of jeans for $ 58 and a pair of shoes for $ 39, the following calculation must be performed:

(150 - 58 - 39) / 14 = X

53/14 = X

3.78 = X

53 - (14 x 3) = X

11 = X

Therefore, Lisa can buy 3 T-shirts, and she will have 11 dollars left over.

Answer:

The answer is below

Step-by-step explanation:

A square is a quadrilateral (four sides and angles). All the sides and angles of a square are equal. Each angle of a square is 90° and the diagonals are equal.

In square ABCD:

AB = BC = CD = AC (all the sides of a square are equal)

Given that  P is the midpoint of BC and Q is the midpoint of CD. AP = a and AQ = b.

a) Triangle APB is a right angled triangle:

BC = AB (all sides of a triangle are equal)

PB = 1/2 (BC) = 1/2(AB) = 0.5AB

Using Pythagoras theorem:

AB² + PB² = AP²

substituting:

AB² + (0.5AB)² = a²

AB² + 0.25AB² = a²

1.25AB² = a²

AB² = 0.8a²

AB = a√0.8

b) Triangle AQD is a right angled triangle:

AD = DC (all sides of a triangle are equal)

DQ = 1/2 (DC) = 1/2(AD) = 0.5AD

Using Pythagoras theorem:

AD² + DQ² = AQ²

substituting:

AD² + (0.5AD)² = b²

AD² + 0.25AD² = b²

1.25AD² = b²

AD² = 0.8b²

AD = b√0.8

c) In right triangle ADB, Using Pythagoras theorem:

AB² + AD² = BD²

But AB = AD

Substituting:

0.8a² + 0.8b² = BD²

BD = √(0.8a² + 0.8b²)

But AD = AB, hence 0.8a² = 0.8b²

BD = √(1.6a²)    

BD = a√1.6

D) AC = AD (diagonals of a square are equal)

AC = √(0.8a² + 0.8b²)

AC = √(1.6b²) = b√1.6

Answer:

Janet put 6 red counters into the bag

Step-by-step explanation:

There are 5 yellow counters for every 1 red counter. If there are 20 yellow counters in the bag then there are 4 red counters. (20/5). If the ratio becomes 1:2 this means there are 2 yellow counters for every 1 red counter. There are 20 yellow counters so there must be 10 red counters in the bag. (20/2). 10 - 4 = 6. Janet put 6 red counters into the bag. (Brainliest would be appreciated!)

Step-by-step explanation:

2x²+4x+5=0

.....

solve it by using the factorisation method or completing the square method

don't mind the hand writing

am I correct btw

Answer:

-0.05555555555

Step-by-step explanation:

Answer:

A 10

B10

C10

in total is 106

Answer:

750 is the answer. Hope it helps!

Answer:

8.96 g/cm3

Step-by-step explanation:

89.6 divided by 10 is 8.96

Answer:

A = 0.10m

Step-by-step explanation:

A = total amount spent

0.10 = cost per minute

m = how many minutes

The probability of rolling a 2 would be 1/6

The probability of rolling a 3 would be 1/6

The probability of rolling a 2 or a 3 would be 1/6 + 1/6 = 2/6, which reduces to 1/3

The answer is 1/3

Answer:

(2x+3)(x-7)

Step-by-step explanation:

2x^2+3x-14x-21

2x(x-7)+3(x-7)

The factors of the expression are (2x+3)(x-7).

Factorization is the breaking or decomposition of an entity (a number, a matrix, or a polynomial) into a product of another entity, or factors, which when multiplied together give the original number. Factorize an expression involves take out the greatest common factor (GCF) of all the terms.

For the given situation,

The expression is [tex]2x^{2} -11x-21[/tex]

The complete factorization of the expression is as,

⇒ [tex]2x^{2} -11x-21=0[/tex]

⇒ [tex]2x^{2} -14x+3x-21=0[/tex]

⇒ [tex]2x(x-7)+3(x-7)=0[/tex]

⇒ [tex](2x+3)(x-7)=0[/tex]

The value of x can be found as

⇒ [tex]2x+3 = 0[/tex] or [tex]x-7 = 0[/tex]

⇒ [tex]x=\frac{-3}{2}[/tex] or [tex]x=7[/tex]

Then -3/2 and 7 are the zeroes of the expression.

Hence we can conclude that the complete factorization of the expression are (2x+3)(x-7).

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Answer:

[tex]\dfrac{x}{3}+\dfrac{x}{5}[/tex] =

Step-by-step explanation:

We need to find the value of [tex]\dfrac{x}{3}+\dfrac{x}{5}[/tex]

The LCM of 3 and 5 is 15. So,

[tex]\dfrac{x}{3}+\dfrac{x}{5}=\dfrac{5x+3x}{15}[/tex]

[tex]=\dfrac{8x}{15}[/tex]

So, the value of [tex]\dfrac{x}{3}+\dfrac{x}{5}[/tex] is equal to [tex]\dfrac{8x}{15}[/tex].

Answer:

Step-by-step explanation:

Looking at the y-values, it seems a geometric progression with the common ratio of 5. Therefore it can be exponential relationship.

By trying the values in the table we get the equation:

Answer

didn't know there was an image

Answer:

Step-by-step explanation:

The $50 cleanup fee is a "fixed cost."

The "$30 per-person fee is a "variable cost."  That is, it varies with the number of people.

"within"  means "less than or equal to"

Cost = $50 + $30x       [where x = number of people]

Cost ≤  $4500              ["stay within their budget"]

$50 + $30x ≤ $4500           [substitute for cost]

 $30x ≤ $4450      [subtract $50 from both sides retains sense of inequality]

   x ≤ 148.3333     [divide by +$30 retains sense of inequality]

Mark and Heather may invite up to 148 guests.

     [note:  to be "≤," always truncate, never round up]

Check:

 148 people for $30 each + $50 is $4440+$50 = $4490.

One more person makes it $4520 -- that is too much.

There we go, my bad

Answer:

Step-by-step explanation:

First we need a linear equation for the situation. 50 cleanup fee applies regardless of how many people they have.  Even if NOBODY shows up, they will be charged $50, so $50 is our y-intercept. If they are charged $30 per person, and we are looking for the number of people they can invite, x will represent the number of people and y will represent the cost of everything. The linear equation is

y = 30x + 50. If they have 4500 to spend, then

4500 = 30x + 50, and now solve it for x:

4450 = 30x and now divide by 30 to get

148 1/3 = x. Now, you can't invite a third of a person, so it would be safe to invite 148 people and you won't go over your budget.

Answer:

dont know....mmm sorry

Answer:

the last one?

Step-by-step explanation:

i dont know, but that one seems like it would

Answer:

answer is A if only one can be chosen. if more than one can be, b might be an answer as well, but not c and d.

Step-by-step explanation:

think of a 3 4 5 triangle for answer a.

just remembered this method, do Pythagorean theorem for each answer. that will tell you which equals a triangle. answer a foe sure is one cmbecuase of a 3 4 5 triangle.

Answer:

the us 113, hope this helps you out

Answer:

9.5

Step-by-step explanation:

When rounding to the nearest tenth, check to see what the hundredths place value is.

If it is 0.05 or greater, we will round the tenths place up one.

If not, the tenths place will remain the same.

Since 9.52 has a hundredths place value of 0.02, we will keep the same tenths place value.

So, the correct answer is 9.5