SUV was detected exceeding the posted speed limit of 60 km/hr, how many kilometers would she have traveled if she was driving 80 km/hr for half an hour

Answer:

True :)

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The solution for the quadratic equation, c(x) = \(2x^{2} -192x+54\) is +48.

Bob must repair 48 watches to have the lowest cost.

The axis of symmetry formula uses the standard form of the quadratic equation as well as the vertex form.

We have, c(x) = \(2x^{2} -192x+54\)

As we know the axis of symmetry, using the formula:

x = \(\frac{-b}{2a}\)

In the above equation a = 2; b = -192

x = \(\frac{-(-192)}{2 * 2}\)

x= \(\frac{192}{4}\)

x = +48

Hence, the number of watches for lowest cost bob must sold is 48 watches.

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A radical equation calculator is an online tool that helps solve equations that involve radicals, such as square roots or cube roots.

To use a radical equation calculator, you simply input the equation that you want to solve, and the calculator will give you the solution(s) to the equation. Some calculators may even show you the steps involved in solving the equation, making it easier for you to understand the process.

These types of equations can be quite complex and difficult to solve by hand, but a radical equation calculator can help simplify the process.It is important to note that while radical equation calculators can be helpful, they should not be relied on entirely. It is still important to understand the mathematical concepts behind the equations, so that you can check the calculator's results and ensure that they make sense.

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The Great Wall of China is about 200 times longer then the Panama Canal

Scientific notation is used to compress large numbers into smaller numbers. In order to write a number in scientific notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10. An examples of 100 expressed in scientific notation is 1 x 10².

In order to determine the difference in the length of the great wall of China and the Panama Canal, divide the length of the Great wall of China by the length of the Panama Canal.

(1 x \(10^{4}\)) ÷ (5 x \(10^{1}\))

(1/5) x \(10^{4 - 1}\)

0.2 x \(10^{3}\)

2 x \(10^{3 - 1}\)

2 x10² = 200

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Answer: 640

Step-by-step explanation:

8 x 8 x 9 + 1/3 (8 x 8 x 3)

= 640  in cubic ft

The volume in cubic feet of space the tent occupies will be 640 cubic feet.

The steps are as follow:

Length = 8 ft.

Width = 8 ft.

height = 9 ft.

Length = width = 8 ft.

height = 3 ft.

volume of cuboid = length x width x height

volume of cuboid = 8 x 8 x 9

volume of cuboid = 576 cubic ft

volume of square pyramid = (length x length x height) / 3

volume of square pyramid = (8 x 8 x 3) / 3

volume of square pyramid = 64 cubic ft.

volume of cuboid + volume of square pyramid = 576 + 64

Total volume of space = 640 cubic feet

So the volume in cubic feet of space the tent occupies will be 640 cubic feet

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The value of the triple integral ∭E 7x dV, where E is bounded by the paraboloid x = 7y^2 + 7z^2 and the plane x = 7, is 0.

To evaluate this triple integral, we need to determine the limits of integration for each variable. Let's express the paraboloid equation in terms of y and z:

x = 7y^2 + 7z^2

Since the paraboloid is bounded by the plane x = 7, we can set up the following limits:

0 ≤ x ≤ 7
0 ≤ y
0 ≤ z

Now we can rewrite the integral as:

∭E 7x dV = ∫[0 to 7] ∫[0 to ∞] ∫[0 to ∞] 7x dy dz dx

To evaluate this integral, we integrate with respect to y first:

∫[0 to 7] ∫[0 to ∞] 7x dy dz = 7 ∫[0 to 7] xy |[0 to ∞] dz

Simplifying further, we have:

7 ∫[0 to 7] ∞ dz = ∞

Therefore, the value of the triple integral ∭E 7x dV is 0.

In conclusion, the triple integral evaluates to 0, indicating that the integral over the given region is zero.

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Answer:

$835 (Answer c)

Step-by-step explanation:

Write out the Cost function:  C(n) = $65 + ($11/person)n

Then the total cost for 70 people would be C(70) = $65 + ($11/person)(70 people)

C(70) = $65 + $770 = $835 (Answer c)

Answer:

Step-by-step explanation:

Slope-intercept form:

Given

Substitute values to find b:

Then the line is:

Answer:

Your already got it.

Step-by-step explanation:

I have no explanation for this.

It took Michelle approximately 16 years to pay off her loan.

We have,

We can use the formula for compound interest:

A = P(1 + r/n)^(nt)

where:

A = the final amount

P = the principal amount (initial loan)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

We can rearrange this formula to solve for t:

t = ln(A/P) / (n * ln(1 + r/n))

Plugging in the given values.

t = ln((12500 + 9425)/12500) / (1 * ln(1 + 0.0754/1))

t = ln(1.753) / (ln(1.0754))

t = 16.02

Thus,

It took Michelle approximately 16 years to pay off her loan.

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Answer:

y = 3/4x - 2

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)

Step 1: Define

(0, -2) y-intercept

(4, 1) random point

Step 2: Find slope m

\(m=\frac{1-(-2)}{4-0}\)

\(m=\frac{1+2}{4}\)

\(m=\frac{3}{4}\)

y = 3/4x + b

Step 3: Write linear equation

y = 3/4x - 2

Answer:

False

Step-by-step explanation:

4/8 equals to 1/2 but 6/10 equals to 3/5. Correct would be if it was 5/10

Answer:

B - 181/500

Step-by-step explanation:

To convert percentages to fractions you divide by 100. That would make this 36.2/100. But we dont like fractions with decimal points in so you would multiply the whole thing by 5 to get rid of the .2 this makes the answer 181/500

Answer:

181/500

Step-by-step explanation:

Firstly do

362/1000 so their is no decimals

then

181/500 which is your answer

Answer:

18.10

Step-by-step explanation:

6x2.40= $14.40 + $3.70= 18.10

Answer:

18.1 dollars

Step-by-step explanation:

2.40x6+3.70

Answer:

The family will not have enough money. They will have saved only 19,200

Step-by-step explanation:

The family will not have enough money. They will have saved only $19,200  is the best statement.

" Interest is defined as the amount of money which one has to pay while borrowing and charged while lending money."

According to the question,

Amount saved per month by Hartman family = $400

Amount need to pay fees after 4 years = $20,000

Total amount saved in 4years = 400 × 12 ×4

                                                 = $19200

Difference in amount needed = 20,000 - 19,200

                                                    = $800

Here it is not given that Hartman family has saved money in any bank.

Neither rate of interest is mentioned.

Hence, we conclude that the family will not have enough money. They will have saved only $19,200  is the best statement.

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Answer:

A ≈ 14.8 units²

Step-by-step explanation:

the area (A) of the triangle is calculated as

A = \(\frac{1}{2}\) yz sin Y ( that is 2 sides and the angle between them )

where x is the side opposite ∠ X and z the side opposite ∠ Z

here y = XZ = 4.3 and z = XY = 7 , then

A = \(\frac{1}{2}\) × 4.3 × 7 × sin79°

   = 15.05 × sin79°

   ≈ 14.8 units² ( to 1 decimal place )

$32,250 must be paid back at the end of the 5-year period if the loan is paid in full.

Compounding is the method through which interest is added to both the principle balance already in place and the interest that has already been paid. Thus, compounding can be thought of as interest on interest, with the result that returns on interest are magnified over time, or the so-called "magic of compounding."

A = P * (1 + rt)

Where A is the amount to be paid back, P is the principal amount borrowed (28,000), r is the interest rate (3.25%), t is the number of years (5), and t is the time period in years.

So, plugging in the values, we have:

A = 28,000 * (1 + 0.0325 * 5) = 28,000 * (1 + 0.1625) = 28,000 * 1.1625 = 32,250

So, $32,250 must be paid back at the end of the 5-year period if the loan is paid in full.

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Answer:

j + 3 ≤ 12

Hope this helps :)

Solution, Explanation, & Check part below

Step-by-step explanation:

1. Isolate variable by doing the inverse operation which is subtracting 3 on both sides of the equation.

j + 3 ≤ 12

- 3 - 3

j ≤ 9

j can be any number that is less than 9 or equal to 9.

Check:

9 + 3 ≤ 12

12 ≤ 12

12 is equal to 12 ✓

Using the concepts of equilateral triangle, we got that  2.113 is the side length of the largest square that can be inscribed in the space inside the square and outside of the triangles.

Firstly we find the side length of equilateral triangle , G is the midpoint of side FE.

Let GE=x, since G is the midpoint due to that DE=GB.

So, using basic trigonometry=DG^GB=x√3.

Thus DB=2x√3.

Since DB is the diagonal of ABCD, it has length 10√2 Then we can set up the equation 2x√3=10√2. So the side length of the triangle is

2x=(10√2)/√3.

Now look at the diagonal AC it is made up of twice the diagonal of the small square plus the side length of the triangle. Let the side length of the small square be y:

Let the side length of the small square be y:

AC=y√2 + [(10√2)/√3]+y√2=10√2.

Solving  for y:

=>y√2+y√2 + (10√2√3)/3=10√2

=>y√2+y√2 + (10√6)/3=10√2

=> [3y√2+3y√2 + (10√6)] /3=10√2

=>6y√2+10√6=30√2

=>6y√2 = 30√2-10√6

=>y√2 = (30√2-10√6)/6

=>y = (30√2-10√6)/6√2

=>y = (60-20√3)/12

=>y= 5(3−√3)3  or 2.113

Hence, inside a square with side length 10, two congruent equilateral triangles are drawn such that they share one side and each has one vertex on a vertex of the square. the side length of the largest square that can be inscribed in the space inside the square and outside of the triangles is to be 2.113.

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The cost to send 130 text messages is:

We know that,

The total cost of sending 80 text messages =  $8.00

So, the cost of sending 1 text message = $8/80

=$0.1 per text message

The cost of sending 130 text messages = 130*$0.1

Therefore, the cost incurred to send 130 text messages = $13

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For the entire independent-measures experiment 24 individuals are participated.

Different participants are utilized in each condition of the independent variable in an experimental design known as an independent measures design, or between-groups. This indicates that a different group of participants is present for each condition of the experiment. A research strategy known as an independent measures design uses numerous experimental groups with subjects only being assigned to one group. Throughout the experiment, each participant is solely exposed to one independent variable condition. A drug trial for a novel medicine would serve as an example. This has the benefit of preventing order effects, which occur when participants behave differently as a result of the order in which conditions are done, often as a result of factors like boredom or exhaustion.

We are given the value  t(22) = 5.30, p < .01

So here degree of freedom (df) is 22 and it is independent so there is two samples,

so df= n₁+n₂-2

⇒ 22 =  n₁+n₂-2

⇒ n₁+n₂ = 24.

Thus for the entire experiment 24 individuals are participated.

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Superior segway tours provide sightseeing tours around chicago, illinois. it charges a one-time fee of $55 with $15 per hour.  The slope of the situation is 15.

The slope of a situation represents the rate of change of one quantity with respect to another. In this case, the quantity being considered is the cost of the sightseeing tour, and the independent variable is the number of hours the tour lasts. The cost of the tour can be expressed as a linear equation: C = 55 + 15h, where C is the cost and h is the number of hours. The slope of this equation is 15, meaning that for every hour the tour lasts, the cost increases by $15.

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Answer:

1 point

Step-by-step explanation:

if each question is worth twice as much as the question before it , then the question before each question is half the value, then

5th question = 16

4th question = 16 ÷ 2 = 8

3rd question = 8 ÷ 2 = 4

2nd question = 4 ÷ 2 = 2

1st question = 2 ÷ 2 = 1

the first question is worth 1 point

The equation of the vectors are

35. y = (-1/2)x + 2

36. y = (1/2)x + 5/2

37. y = 2x + 3

38. y = (2/3)x - 52/3

Exercise 35:

P(2, 1)

v = i + 2j

To find the equation of the line passing through P and perpendicular to v, we need to determine the slope of the line. The slope of a line perpendicular to a vector is the negative reciprocal of the slope of the vector.

The vector v = i + 2j has a slope of 2/1 = 2. The negative reciprocal of 2 is -1/2. Therefore, the slope of the line perpendicular to v is -1/2.

Using the point-slope form of a line, we can write the equation of the line passing through P as follows:

y - y₁ = m(x - x₁)

Substituting the values of P(2, 1) and the slope (-1/2), we get:

y - 1 = (-1/2)(x - 2)

Simplifying the equation, we have:

y - 1 = (-1/2)x + 1

y = (-1/2)x + 2

Exercise 36:

P(-1, 2)

v = -2i - j

The slope of the vector v = -2/1 = -2. The negative reciprocal of -2 is 1/2.

Using the point-slope form, we can write the equation of the line passing through P(-1, 2) as:

y - 2 = (1/2)(x + 1)

Simplifying the equation, we have:

y - 2 = (1/2)x + 1/2

y = (1/2)x + 5/2

Exercise 37:

P(-2, -7)

v = -2i + j

The slope of the vector v = 1/(-2) = -1/2. The negative reciprocal of -1/2 is 2.

Using the point-slope form, the equation of the line passing through P(-2, -7) is:

y - (-7) = 2(x - (-2))

Simplifying the equation, we have:

y + 7 = 2(x + 2)

y = 2x + 3

Exercise 38:

P(11, 10)

v = 2i - 3j

The slope of the vector v = -3/2. The negative reciprocal of -3/2 is 2/3.

Using the point-slope form, the equation of the line passing through P(11, 10) is:

y - 10 = (2/3)(x - 11)

Simplifying the equation, we have:

y - 10 = (2/3)x - 22/3

y = (2/3)x - 52/3

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Complete Question:

In Exercises 35–38, find an equation for the line through P perpendicular to v. Then sketch the line. Include v in your sketch as a vector starting at the origin.

35. P(2, 1), v = i + 2j

36. P(-1, 2), v =-2i - j

37. P(-2, -7), v =-2i + j

38. P(11, 10), v = 2i - 3j.

Answer:

124°

I hope it's helps you

Answer:

D=16m

Step-by-step explanation:

D=16t^2

D=16×1

D=16m

Answer:

36

Step-by-step explanation:

triangular numbers are

1, 3, 6, 10, 15, 21, 28, 36, .....

square numbers are

1, 4, 9, 16, 25, 36, ..........

the smallest number that is triangular and square is 36