Which of the following is the graph of f(x) = x2 + 3x − 4?

Answer: the radians should be 125

Step-by-step explanation:

\(\bold{n + (n+1)^{2}}\)

An unknown number can be interpreted with any letter of the alphabet, they will be our unknowns to be able to form an algebraic expression.

Well, in this case, I will use the variable n, to name the unknown number.

Let "n" be the number, the square of it is; n² and the following number results from adding the unit; then (n + 1) will be the next of the number.

(grouping the data the following algebraic expression is obtained):

\(\bold{n + (n+1)^{2}}\)

Answer:

(n + 1 )

Let "n" be the number, the square of it is; n² and the following number results from adding the unit; then (n + 1) will be the next of the number.

..

The volume of the figure, by splitting it into two cuboids comes to be 3300 ft³.

The volume of a cuboid is the product of its three dimensions i.e. length, breadth, and height.

Let us split the given figure into two cuboids

So, the volume of the figure will be the sum of the volume of both the cuboids.

So, the volume of the cuboid with dimensions 20 ft x 25 ft x 5ft

= 20 x 25 x 5

=2500 ft³.

The volume of the cuboid with dimensions  4 ft x 25ft x 8ft

=4 x 25x 8

=800 ft³.

So, the volume of the figure = 2500 + 800 =3300 ft³.

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Answer:

x = 16.45 inches

Step-by-step explanation:

Engineers want to design seats in commercial aircraft so that they are wide enough to fit 98% of all males. Men have hip breadths that are normally distributed with a mean of 14.4 inches and a standard deviation of 1 inch. find P98. I really don't understand, help needed please.

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

Find the z-value with a left tail of 0.98

invNorm(0.98) = 2.0537

-----

Find the corresponding x-value using x = zs+u

----

x = 2.0537*1+14.4

---

x = 16.45 inches

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

Answer:

First we need to solve:

3x + 9 < 30

-9         -9

3x < 31

Divide by 3 on both sides:

x < 10.3 around 10

this doesn't really seem right are you sure you typed it in correctly?

Step-by-step explanation:

x < 10 im assuming its 13 i guess since there are no options of 10..

so:

x < 13

B is your answer

The circle is filled in, and it starts at the point of 13 and goes down.

In the movie Moneyball, Pete takes Billy to New York City to meet with a group of young economists who have developed a new system for analyzing player performance called sabermetrics.

Based on a true event, "Moneyball" recounts the 2002 campaign of the Oakland Athletics baseball club. Billy Beane, the team's general manager, is dissatisfied with the limited resources at his disposal and chooses to change his strategy for assembling a successful squad. To assist him in putting this new plan into action, he employs Yale University graduate in economics Peter Brand.

In the film "Moneyball," Billy Beane (Brad Pitt) is the character Billy Beane asks Pete (Jonah Hill) to demonstrate to him the new method of assessing baseball players utilizing statistics and data analysis. He wants to take Billy in particular to meet with a group of young economists who have created a brand-new method of evaluating player performance that they call "sabermetrics." Pete is confident that this novel strategy will transform the way baseball teams are created and provide the Oakland A's, a team managed by Billy Beane, a competitive edge. The conference takes place in the "Baseball Prospectus" company's New York City headquarters when the economists present Billy and Pete with their hypotheses.

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The value of x in the similar triangle is 6 units.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

Therefore, let's use the similarity ratio to find the value of x in the similar triangle as follows:

Hence,

5 / 40 = x / 48

48 × 5 = 40x

240 = 40x

divide both sides by 40

x = 240 / 40

x = 6

Therefore,

x = 6

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The polynomial -6x⁵ - 1/8 - x³ in standard form is -6x⁵ - x³ - 1/8

From the question, we have the following parameters that can be used in our computation:

-6x⁵ - 1/8 - x³

To rewrite polynomial in standard form, we order the powers in decreasing order

Using the above as a guide, we have the following:

-6x⁵ - x³ - 1/8

Hence, the polynomial in standard form is -6x⁵ - x³ - 1/8

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Answer:

x=-2

Step-by-step explanation:

Answer: 134/25

Step-by-step explanation:

hope this helps

The graph of the function y = 1/3x - 2 is added as an attachment

From the question, we have the following parameters that can be used in our computation:

So, the equation is

y = 1/3x - 2

The above function is a linear function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking note of the above transformations rules

The graph of the function is added as an attachment

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Answer:

864

Step-by-step explanation:

80/100 simplified is 4/5

so you do 4/5 of 1080

which is 1080 divided by 5 that is 216

and then 216 x 4 which is 864

Answer:

Step-by-step explanation:

You want the coordinates of the vertices of QRST after it has been translated right 2 units, then reflected across the y-axis. The original coordinates are Q(1, 5), R(3, -1), S(0, 0), T(-2, 3).

The problem statement is written as a composition of the transformations Ry and T(2,0). A composition of functions is generally executed right to left, meaning the translation will be done first, then the reflection.

The numbers in the translation vector are added to the coordinates:

  (x, y) ⇒ (x+2, y+0)

Reflection over the y-axis changes the sign of the x-coordinate:

  (x, y) ⇒ (-x, y)

Then the composition of transformations is ...

  (x, y) ⇒ (-(x+2), y)

  Q(1, 5) ⇒ Q'(-3, 5)

  R(3, -1) ⇒ R'(-5, -1)

  S(0, 0) ⇒ S'(-2, 0)

  T(-2, 3) ⇒ T'(0, 3)

Path A-B-C-E represents the distance traveled, which is 18 meters.

Path A-G-C-E represents the displacement, which is 17 meters.

From the given figure, we can identify the paths and calculate the distance and displacement.

Path A-B-C-E represents the distance traveled, and path A-G-C-E represents the displacement.

Let's calculate the lengths of both paths:

Distance traveled (Path A-B-C-E):

Length of AB = 9m

Length of BC = 3m

Length of CE = 6m

Total distance traveled = Length of AB + Length of BC + Length of CE

= 9m + 3m + 6m

= 18m

Therefore, the distance traveled along path A-B-C-E is 18 meters.

Displacement (Path A-G-C-E):

Length of AG = 5m

Length of GC = 6m

Length of CE = 6m

Total displacement = Length of AG + Length of GC + Length of CE

= 5m + 6m + 6m

= 17m

Therefore, the displacement along path A-G-C-E is 17 meters.

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Answer:

which class you are plz say dude

Answer:

height = 7 ft

base = 18 ft

Step-by-step explanation:

Area of a Triangle

\(\sf A=\dfrac{1}{2}bh\)

where:

If the base of the triangle is 4 feet more than twice its height, then:

Substitute the given area and the found expression for b into the formula and solve for h:

\(\begin{aligned}\sf A & = \sf \dfrac{1}{2}bh\\\implies \sf 63 & = \sf \dfrac{1}{2}(2h+4)h\\\sf 126 & = \sf (2h+4)h\\\sf 126 & = \sf 2h^2+4h\\\sf 2h^2+4h-126 & = \sf 0\\\sf 2(h^2+2h-63) & = \sf 0\\\sf h^2+2h-63 & = \sf 0\\ \sf h^2+9h-7h-63 & = \sf 0\\ \sf h(h+9)-7(h+9) & \sf = \sf 0\\\sf (h-7)(h+9) & = \sf 0\\\implies \sf h& = \sf 7, -9\end{aligned}\)

As length is positive, h = 7 ft.

Substitute the found value of h into the expression for b and solve for b:

\(\begin{aligned}\sf b & = \sf 2h+4\\\implies \sf b & = \sf 2(7)+4\\& = \sf 14+4\\& = \sf 18\end{aligned}\)

Therefore, b = 14 ft.

Answer:

85 + 42x = 337

x = 6

Step-by-step explanation:

For the equation:

We know there is a one-time fee plus 42 times the number of days you rent the booth for and that the total of the equation should be 337 as that is the total she paid for. We start with the one-time fee (85) and add the county fair-grounds cost (42) multiplied by the number of days you rent the booth for. Since we don't know how many days that is, we will make that our variable which we will call x.

So far we have: 85 + 42x

Now we should set the equation equal to the total amount of money Ms. Williams paid.

This will give us: 85 + 42x = 337

To solve the equation:

Our goal is to find x since that is the number of days Ms. Williams rented the booth for.

First, we subtract 85 from both sides of the equation.

42x = 252

Then, we divide both sides by 42 to isolate our variable, x.

x = 6

X is the number of days Ms. Williams rented the booth for. Therefore, Ms. Williams rented a booth at the county fair for 6 days.

Answer: 24

Step-by-step explanation

8-8-16-24-32-40

6-6-12-18-24-30-36

Answer:

What's the question?

You can just reply it or something and I'll try to answer

The probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.

To find the probability that Greg winds up wearing the white shirt and tan pants while getting dressed in the dark, we need to find out all the possible outfit options. According to the question given, first we nned to find out number of outfit combinations possible.

Total number of Outfit Combinations:

There are 4 shirts: a white one, a black one, a red one, and a blue one and also two pairs of pants, one blue and one tan. So, total number of possible outfit combinations would be 4 * 2 = 8.

No of favourable options:

As given in the question, Greg wears white shirt and tan pants. There is only one white shirt and one tan pant. So, number of favourable options would be only 1 .

Probability = Number of favourable outcomes/Total no. of combinations

Probability = 1/8

Probability = 0.125 or 12.5%

Therefore, the probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.

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The number of data points above the median is 12, number of data points below the 1st quartile is 6 and the number of data points between 1st and 3rd quartile is 12.

Median of a data set is the element in the middle if the data are arranged in increasing or decreasing order.

There are 24 data points in a data set.

Let x₁, x₂, .........., x₂₄ be the data points arranged in an increasing order.

Since the number of elements are even, median is the average of middle two elements.

Median = (x₁₂ + x₁₃) / 2, which will be in the middle of x₁₂ and x₁₃.

Number of elements above median = number of elements from x₁₃ to x₂₄ = 12

First quartile range is the average of the first part of elements which has been divided by the median.

Average of x₁, x₂, ......., x₁₂

1st quartile, Q₁ = (x₆ + x₇) / 2, which is located in the middle of x₆ and x₇.

Number of data points below 1st quartile = 6

Third quartile  is the average of the second part of elements which has been divided by the median.

Average of x₁₃, x₁₄, ......., x₂₄

3rd quartile = (x₁₈ + x₁₉) / 2, which is located in the middle of x₁₈ and x₁₉.

Number of elements between 1st and 3rd quartile = 12

Hence the number of elements in each of the range is found.

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Answer:

98 is a whole number

Step-by-step explanation:

0.86 is a decimal

2/5 is a fraction

35% is a percentage

Answer:The amount of a 80% acid solution that must be mixed with a 55% solution to produce 600 mL of a 60% solution can be calculated using a simple algebraic equation. Let x represent the amount of the 80% acid solution in mL that needs to be mixed with the 55% solution.

The equation can be set up as follows:

0.80x + 0.55(600 - x) = 0.60(600)

Step-by-step explanation: The left-hand side of the equation represents the total amount of acid in the mixture. The first term, 0.80x, represents the amount of acid from the 80% solution, and the second term, 0.55(600 - x), represents the amount of acid from the 55% solution. The right-hand side of the equation represents the total amount of acid in the final 60% solution, which is 60% of 600 mL.

By solving this equation for x, we can determine the amount of the 80% acid solution that needs to be mixed with the 55% solution. Once we have the value of x, we can then calculate the amount of the 55% solution by subtracting x from 600 mL.

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Let x=amount of 80% solution needed

Then 600-x=amount of 30% solution needed

Now we know that the pure acid in the 80% solution (0.80x) plus the amount of pure acid in the 30% solution ((0.30)(600-x)) has to equal the amount of pure acid in the final mixture(0.40*600), so our equation to solve is:

0.80x+0.30(600-x)=0.40*600 get rid of parens

0.80x+180-0.30x=240 subtract 180 from each side

0.80x+180-180-0.30x=240-180 collect like terms

0.50x=60 divide each side by 0.50

x=120 ml---------------------amount of 80% solution needed

600-x=600-120=480 ml---------------amount of 30% solution needed

CK

120*0.80+480*0.30=0.40*600

96+144=240

240=240

The correct interpretation of a 90% confidence interval of a proportion is option D: "Ninety percent of the population proportions will fall within the limits of the confidence interval."

What is the confidence interval?

The confidence interval is the range of values that you expect your estimate to fall between a certain percentage of the time if you run your experiment again or re-sample the population in the same way.

This means that if we were to take many random samples from the same population and compute a 90% confidence interval for each sample, we would expect that about 90% of these intervals would contain the true population proportion.

Option A is incorrect because it refers to the sample proportions, not the population proportion.

Option B is incorrect because it implies that there is a probability that the population proportion falls within the interval, which is a common misconception. The population proportion is fixed and is either in the interval or not. The interval is a range of plausible values for the population proportion based on the sample data and the level of confidence chosen.

Option C is incorrect because it implies that 90% of the confidence intervals contain the population proportion, which is not necessarily true. We can only say that about 90% of the intervals will contain the population proportion if we repeat the sampling and interval construction process many times.

Hence, The correct interpretation of a 90% confidence interval of a proportion is option D: "Ninety percent of the population proportions will fall within the limits of the confidence interval."

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Complete question:

Which of the following is the correct interpretation of a 90% confidence interval of a proportion? A Ninety out of 100 sample proportions will fall within the limits of the confidence interval. B There is a 0.10 probability that the population proportion falls within the limits of the confidence interval. Ninety out of 100 confidence intervals will contain the population proportion. Ninety percent of the population proportions will fall within the limits of the confidence interval.

The joint costs allocated to Product B is $240,000.

We must allocate joint costs based on the relative physical quantities produced by each product.

The total physical quantity produced by both products is:

= Quantity of A + Quantity of B

= 10,000 + 40,000

= 50,000 pounds

We will calculate the proportion of physical quantity produced by product A:

= Quantity of B / Total physical quantity

= 40,000 / 50,000

= 0.8

The amount of joint costs allocated to Product B is will be

= Total joint costs x Proportion of

= $300,000 x 0.8

= $240,000.

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Answer:

$7/lb

Step-by-step explanation:

$70 / 10 lb = $7/lb

Answer:

$7 per pound of letuce

Step-by-step explanation:

We know

10 pounds = $70

1 pounds = ?

We cross multiply and get:

$7 per pound of letuce

So, the answer is $7 per pound of letuce

Answer:

\(Part = \frac{19}{20}\)

\(Lessons = 23\)

Step-by-step explanation:

Given:

\(Dancing\ Lessons = 24\)

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

\(May = \frac{1}{5}\)

Required:

Determine the part she took

To solve this, we simply add up the part she took in April and May.

\(Part = \frac{3}{4} + \frac{1}{5}\)

Take LCM

\(Part = \frac{15 + 4}{20}\)

\(Part = \frac{19}{20}\)

Hence, she took \(\frac{19}{20}\) of the dancing lesson.

However, to calculate the number of lesson.

We have to multiply \(\frac{19}{20}\) by the total dancing lessons.

\(Lessons = \frac{19}{20} * 24\)

\(Lessons = \frac{19* 24}{20}\)

\(Lessons = \frac{456}{20}\)

\(Lessons = 22.8\)

\(Lessons = 23\) ---- Approximated