" enter a numerical expression that represents the sum of u squared and 9 multiplied by 11 "​

To approximate the area under the graph of the function F(x) = 0.2x³ + 2x² - 0.2x - 2 over the interval (-9, -4) using 5 subintervals and left endpoints, we can use the left Riemann sum method. The total area under the graph of F(x) over the interval (-9, -4).

To approximate the area using the left Riemann sum method, we start by dividing the interval (-9, -4) into 5 subintervals of equal width. The width of each subinterval can be calculated as (b - a) / n, where b is the upper limit of the interval (-4), a is the lower limit of the interval (-9), and n is the number of subintervals (5 in this case).

Next, we evaluate the function F(x) at the left endpoint of each subinterval to find the height of the rectangles. For the left Riemann sum, the left endpoint of each subinterval is used as the height. In this case, we evaluate F(x) at x = -9, -7, -5, -3, and -1.

Once we have the width and height of each rectangle, we can calculate the area of each rectangle by multiplying the width and height. Finally, we sum up the areas of all the rectangles to approximate the total area under the graph of F(x) over the interval (-9, -4).

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There is a 1/3 chance that random variable will have a value higher than 5.

For the variable t, which follows uniform probability distribution.

0 ≤ t ≤ 8

Total variables = 9.

For the probability of value greater than 5 for the random variable.

P(t > 5) = P(t = 6) + P(t = 7) + P(t = 8)

P(t > 5) = 1/9 + 1/9 + 1/9

P(t > 5) = 3/9

P(t > 5) = 1/3

Thus, there is a 1/3 chance that random variable will have a value higher than 5.

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Answer:

D

Step-by-step explanation:

-4x + 9 ≥ -3  Subtract 9 from both sides

-4x ≥ -12  Divide both sides by -4.  When you divide both sides by a negative number, you must flip the inequality sign.

x ≤ 3

D: 5 is not a solution.

Answer:

D) 5

Step-by-step explanation:

To solve this problem, we must first isolate the variable and simplify the inequality. Isolating the variable means having the variable on one side of an equation or inequality without any other terms?

How do you isolate a variable?

Here's an example.

x+3=18

What can we do to have x on its own side of the equation? Currently, 3 is also with it. If we subtract 3 on both sides, we are leaving the equation with the same answer.

x + 3 - 3= 18 - 3

Combine like terms.

x = 21

That's how you solve for an equation.

Next, an example with division.

3x = 21

How do we solve for x this? Well, we know that 3x = 3 times x. So, to solve for x, we remove the 3. Since its 3 times x, lets divide by 3 on both sides.

\(\frac{3x}{3} =\frac{21} {3}\)

Simplify:

3x/3 means 3 times x divided by 3. 3/3 = 1

1x = 21/3

21/3 = 7

x = 7

Now lets get to the problem.

\(-4x + 9 \geq -3\)

The first step is to subtract by 9 on both sides so we can work our way to isolating the variable and solving the problem.

\(-4x + 9 -9\geq -3 - 9\)

Simplify.

\(-4x \geq -12\)\(-4x \geq -12\)

Now heres the tricky part. To solve for an equation, we must remove -4 from x, or -4 times x. In an equality, which states that:

A \(\geq , \leq , > , or < B\)

If you divide or multiply both sides by a negative number, which means the number is less than 0, you must flip the sign!

When you multiply/divide by a negative number or both sides in an equality:

\(\leq\) \(\geq\)

\(\geq\) \(\leq\)

> <

< >

So, we currently have:

\(-4x \geq -12\)

Divide by -4 on both sides.

\(\frac{-4x}{-4} \geq \frac{-12}{-4}\)

Simplify. (Use the rule which states that a negative number multiplied or divided by another negative number equates to a positive number).

\(x \geq 3\)

Flip the sign (This is a crucial step!)

\(x \leq 3\)

Now, \(x \leq 3\) means any number equal to or lower than 3 satisfies the conditions of the inequality.

Is -3 lower than or equal to 3?

Yes; Lower

Is -1 lower than or equal to 3?

Yes;

Is 3 lower than or equal to 3?

Yes; Equal

Is 5 lower than or equal to 3?

No; Greater

D, 5 is your answer as it does not satisfy the inequality.

Step-by-step explanation:

4 points appear-

12 lines appear..?

1 plane appears

4 collinear points.

There's 2 non-coplanar points??

4 intersections??

I hope this helped. I could be wrong, but that's how I solved it mentally.

Answer:

Step-by-step explanation:

l = 34 cm

height = 30 cm

radius = 16 cm

surface area of cone = πr (l +r)

=3.14 *16 (34 + 16)

=50.24*50

=2512 cm^2

volume of a cone = \(\frac{1}{3}\)πr^2h

=\(\frac{1}{3}\)*3.14*16^2 *30

=1.0466*256*30

=8037.888

=8037.89 cm^3

According to the calculations made by Bob after downloading and calculating the correlation value as 0.5 from a given data set, he concludes that as the number of bedrooms in a particular home increase there is an increase in the selling price of the bed.

This increase in the selling price due to the increase in the number of bedrooms can be explained with the help of the Law of Demand which states that as the demand for a certain product increases its cost or the selling price also increases.

Thus, when Bob calculates the correlation factor, he finds that as the number of bedrooms increases there is also a hike in the selling price. As there should be a surplus to fulfill the demand for bedrooms.

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\(\huge\text{Hey there!}\)

\(\huge\boxed{\mathsf{d^2 = 41}}\)

\(\huge\boxed{\text{TAKE the SQUARE ROOT}}\)

\(\huge\boxed{\mathsf{d = \pm \sqrt{41}}}\)

\(\huge\boxed{\textsf{SIMPLIFY it}}\)

\(\huge\boxed{\mathsf{d = \pm \sqrt{41}\ or \sqrt{-41}}}}\)\(\huge\boxed{\mathsf{Answer: d = \bf \sqrt{41} \ or \ \sqrt{-41}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\huge{\boxed{\frak{Amphitrite1040:)}}}\)

Answer:

(-8,-71)

Step-by-step explanation:

I assume by turning point it means the vertex:

\(y=x^2+16x-7\\y+71=x^2+16x-7+71\\y+71=x^2+16x+64\\y+71=(x+8)^2\\y=(x+8)^2-71\)

Now that we converted our equation to vertex form \(y=(x+h)^2+k\), we can see our vertex, or turning point, is (h,k)=(-8,-71)

The sum of the given polynomials in standard form is -x²+2x-3.

Given that, (x²-3x)+(-2x²+5x-3).

Addition of Algebraic Expressions is the process of collecting like terms and adding them. Identify and add the coefficients of like terms and sum them to find the final expression of given problems.

Here, (x²-3x)+(-2x²+5x-3)

= x²-3x-2x²+5x-3

= (x²-2x²)+(5x-3x)-3

= -x²+2x-3

Therefore, the sum of the given polynomials in standard form is -x²+2x-3.

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The diameter of Earth in kilometers is approximately 12,682 km, making option D the correct answer.

To convert the diameter of Earth from miles to kilometers, we can multiply the given diameter in miles by the conversion factor of 1.6 kilometers per mile.

Given that Earth's diameter is 7,926 miles, we can calculate its diameter in kilometers as follows:

Diameter in kilometers = Diameter in miles × Conversion factor

Diameter in kilometers = 7,926 miles × 1.6 kilometers/mile

Diameter in kilometers = 12,681.6 kilometers

Rounding this value to the nearest whole number, we get 12,682 kilometers.

Therefore, the correct answer is option D: 12,682 km.

Option A: 49,553 km is not the correct answer. It is not consistent with the given diameter of Earth.

Option B: 120,586 km is also not the correct answer. It is not consistent with the given diameter of Earth.

Option C: 1,392,650 km is significantly larger than the actual diameter of Earth and is not a plausible value.

In conclusion, the diameter of Earth in kilometers is approximately 12,682 km, making option D the correct answer.

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The number of minutes it takes for the earth to travel one full rotation around the sun is 529, 960

A proportion can simply be described as an equation in which varying elements, or given numbers are set equal to each other.

It is seen as  a mathematical method of comparing two elements or numbers.

It is also defined as a relation that entails comparison on the basis of size or magnitude of numbers, quantities or elements.

From the information given, we have that;

The earth travels for 365. 25 days round the sun.

If 24 × 60 minutes = 1 day

Then x minutes = 365. 25 days

cross multiply, we have;

x = 24 × 60 × 365. 25

Multiply the values

x = 529, 960 minutes

Hence, the value is 529, 960 minutes

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the solution w = -36 is correct

The given equation is w/4 + 16 = 7.The main objective here is to solve for the variable w. Let us see the step-by-step process to solve for w:

Step 1: Simplify the left side of the equation by subtracting 16 from both sides. w/4 + 16 = 7 ⇒ w/4 = -9The justification for subtracting 16 from both sides is the additive inverse property of equality, which states that if a = b, then a - c = b - c for any real number c.

Step 2: Multiply both sides of the equation by 4 to isolate w. w/4 = -9 ⇒ (4)(w/4) = (4)(-9) ⇒ w = -36The justification for multiplying both sides of the equation by 4 is the multiplication property of equality, which states that if a = b, then ac = bc for any real number c.

Step 3: Check the solution. Substitute -36 for w in the original equation to make sure it satisfies the equation. w/4 + 16 = 7 ⇒ (-36)/4 + 16 = 7 ⇒ -9 + 16 = 7 ⇒ 7 = 7Since 7 = 7 is a true statement, . The justification for this step is that it ensures that the solution obtained in the previous step is valid.

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Answer:

f(-6) = 22

Step-by-step explanation:

\(f(x)=-3x+4\\\\f(-6)=-3(-6)+4\\\\f(-6)=18+4\\\\\boxed{f(-6)=22}\)

Hope this helps.

Suppose random variables X and Y are related Y=3X+5. Suppose the random variable X has mean zero, and variance 2. Then the variance of X-Y is 20.

For the variance of X-Y, we need to consider the properties of the variance and the relationship between X and Y.

First, let's calculate the mean and variance of Y. Since Y = 3X + 5, we can use the properties of expected value and variance:

E(Y) = E(3X + 5) = 3E(X) + 5 = 3(0) + 5 = 5

Var(Y) = Var(3X + 5) = 9Var(X) = 9(2) = 18

Next, we can find the variance of X-Y using the properties of variance:

Var(X-Y) = Var(X + (-Y)) = Var(X + (-1)(Y))

Since X and Y are independent random variables, we know that the variance of the sum of independent random variables is the sum of their variances:

Var(X + (-1)(Y)) = Var(X) + Var((-1)(Y))

Since Var(Y) = 18 and Var(X) = 2, we have:

Var(X + (-1)(Y)) = Var(X) + Var((-1)(Y)) = 2 + Var((-1)(Y))

Var((-1)(Y)) = (-1)^2 Var(Y) = Var(Y) = 18

Therefore, Var(X-Y) = 2 + Var((-1)(Y)) = 2 + 18 = 20.

The variance of X-Y is 20.

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Answer: 35000

Step-by-step explanation:

Answer: 35

Step-by-step explanation:

329/200 / 0.047

329/200 / 47/1000

35

Answer:

9.125 9, 9.59

Step-by-step explanation:

The correct answer is 2 (C) - 2 days is the total slack for activity F. To determine the total slack for activity F, we need to calculate the slack for each activity in the network. Slack refers to the amount of time an activity can be delayed without affecting the project completion time.

1. First, let's draw the network using the information provided:
  - A is the start node and G is the stop node.
  - Activity A has a duration of 5 days and has no predecessor.
  - Activities B, C, and D have durations of 8, 7, and 6 days respectively, and their predecessors are A.
  - Activity E has a duration of 9 days and its predecessors are B, C, and D.
  - Activity F has a duration of 10 days and its predecessors are B, C, and D.
  - Activity G has a duration of 5 days and its predecessors are E and F.

                 A
                /|\
               / | \
              /  |  \
             B   C   D
              \  |  /
               \ | /
                \|/
                 E
                 |
                 F
                 |
                 G

2. Now, let's calculate the slack for each activity:
  - Slack is calculated by subtracting the earliest start time of an activity from the latest start time without delaying the project completion time.
  - The earliest start time for activity F is 17 days.
  - The latest start time for activity F is 19 days (project completion time is 22 days).
  - Total slack for activity F = latest start time - earliest start time = 19 - 17 = 2 days.

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After calculating , The value of given expression is -3.73

What is Tanx in terms of sinx and cosx?

Tanx can be defined as the ratio of sinx and cosx or tanx also can be defined as the ratio opposite side and adjacent side.

Given

expression,

tan(17pi/12)

The value of pi = 180

so by putting the value we get,

tan(17*180 / 12 )

tan ( 3060 / 12 )

as we know the value of 3060/12 = 255.

tan(255)

= -3.73

so we got the value of tan(255) is -3.73 approximately

Hence, The value of given expression is -3.73

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Skye's estimated cost per year with the financial aid, is x - 6400

From the question, we have the following

Scholarship and grant = $4300

Work-study = $2100

So, the total is

Total = 4300 + 2100

Total = 6400

This is then subtracted from the total estimated expenses for the year

Representing this with x, we have

Estimated cost = x - 6400

In (a), we have

Estimated cost = x - 6400

Then we have

Famiily = 7000

This means that

Skye's contribution = x - 6400 - 7000

Evaluate

Skye's contribution = x - 13400

We have

Monthly savings = $300

So, the total savings per year is

Annual = $3600

In (b), we have

Skye's contribution = x - 13400

So, the remaining is

Remaining = x - 13400 - 3600

Evaluate

Remaining = x - 17000

The above may or may not cover the total expenses, depending on the value of x

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The water that was lost between 9 and 11 am is 52 liters by using integration.

An integral in mathematics assigns numbers to functions in a way that describes displacement, area, volume, and other concepts that come from merging infinitesimal data. The process of determining integrals is known as integration. Along with differentiation, integration is a fundamental, essential operation of calculus and is used to answer issues in mathematics and physics involving the area of an arbitrary form, the length of a curve, and the volume of a solid, among others.

The integrals listed below are definite integrals, which can be defined as the signed area of the plane region circumscribed by the graph of a given function between two points on the real line.

Rate of leaking R'(t)=2+8t

Here t is the number of hours.

Total water lost from 9 and 11 am

=\(\int\limits^8_2\) (2+8t)dt

=(2t+(8t²/2))⁴₂

=(8+64)-(4+16)

=72-20

=52 liters.

The water that was lost between 9 and 11 am is 52 liters.

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Answer:

$95

Step-by-step explanation:

I you need to see how much you would save after 7 weeks, and you save $10 a week, that would be 7*$10 and if you start with $25 you add it.

$25 + 7*($10) =

$25 + $70 = $95

After 7 weeks you would have saved $95.

If you need to know your savings each week, start with $25, and add $10 to it each week.

$25

Week 1 - $25 + 10 = $35

Week 2 - $35 + 10 = $45

Week 3 - $45 + 10 = $55

Week 4 - $55 + 10 = $65

Week 5 - $65 + 10 = $75

Week 6 - $75 + 10 = $85

Week 7 - $85 + 10 = $95

Step-by-step explanation:

(x+4)(2x−5)(x−1)

----------------------c

(x+1)(x+4)(2x−5)

(x+4)^(1-1)(2x-5)^(1-1)(2x-5)^(1-1)

(x+4)°(2x−5)°(x−1)°

1×1×1

1

law of indices says that x²/x=x^(2-1)=x

Answer: there are no like terms

I'm not sure if you have the wrong equation but there are no like terms

Answer:

3. D

4. A

5. B

Step-by-step explanation:

Scale Factor to go from F to G = 3/4

Scale Factor to go from G to F = 4/3

===============================================

Explanation:

Note the sides labeled 4 and 3 are both opposite the angles that have two tickmarks. Therefore, these two sides correspond to one another.

Because of the similar triangles, the corresponding sides are in proportion. The scale factor is 3/4 meaning the smaller triangle has side lengths 3/4 as large compared to the larger triangle.

Put another way, we have a 25% reduction in the side lengths because 3/4 = 75% and 100% - 75% = 25%

So far, all of this applies when figure F is the preimage and G is the image. If we reverse things, then apply the reciprocal to 3/4 to get 4/3. Now G is the preimage and we go from smaller to larger.

------------

Side notes:

The required scale factor for the given transformation is given as 3/4.

Given that,
Two triangles have been shown, is to discuss the transformation and scale factor of the triangle.

The scale factor is defined as the ratio of modified change in length to

Here,
The given figures are similar in shape but not in size,
If the shapes is similar then the ratio of the corresponding sides describes the scale factor between the figures,
So,

Ratio of side = 3 / 4

Thus, the required scale factor for the given transformation is given as 3/4.

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The derivative of F(x) is \(F'(x) = x^{(1/3)\).

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

To find the derivative of the given function F(x), we will apply the fundamental theorem of calculus and differentiate the integral with respect to x.

Let's compute F'(x):

F(x) = ∫[0 to x] \(t^{(1/3)} dt\)

To differentiate the integral with respect to x, we'll use the Leibniz integral rule:

F'(x) = d/dx ∫[0 to x] \(t^{(1/3)} dt\)

According to the Leibniz integral rule, we have to apply the chain rule to the upper limit of the integral.

\(F'(x) = x^{(1/3)} d(x)/dx - 0^{(1/3)} d(0)/dx\)   [applying the chain rule to the upper limit]

Since the upper limit of the integral is x, the derivative of x with respect to x is 1, and the derivative of 0 with respect to x is 0.

\(F'(x) = x^{(1/3)} (1) - 0^{(1/3)} (0)\)

\(F'(x) = x^{(1/3)\)

Therefore, the derivative of F(x) is \(F'(x) = x^{(1/3)\).

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Answer:

7 and 15

Step-by-step explanation:

Let the numbers be x and y

\(x + y = 22\)

\(x - y = 8\)

On adding both

\(x + y + x - y = 22 + 8\)

\(2x = 30\)

\(x = \dfrac{30}{2} \)

\(x = 15\)

From 1

\(15 + y = 22\)

\(y = 22 - 15\)

\(y = 7\)

Answer:

\(take \: numbers \: xand \: y \\ given \: that \: x + y = 22 .....(1)\\ x - y = 8.....(2) \\ x = 8 + y \\ put \: this \: in \: (1) \\ 8 + y + y = 22 \\ 8 + 2y = 22 \\ 2y = 22 - 8 \\ 2y = 14 \\ y = \frac{14}{2} \\ y = 7 \\ pt \: y = 7in \: eqution \: (2) \\ then \: \\ x - 7 = 8 \\ x = 7 + 8 \\ x = 15 \\ therefore \: x = 15 \\ y = 7 \\ thank \: you\)

Answer:

16.1 seconds

Step-by-step explanation:

h = 16t²

h = 4144

4144 = 16t²

÷16      ÷16

----------------

259 = t²

√259 = √t²

16.1 ≈ t

I hope this helps!