in Mrs.Espinol's class of 25 students, the average score on the final exam is 85, with a standard deviation of seven

Answer:

(4x)

2

=16×x

2

Step-by-step explanation:

hope it's help

Answer: el perímetro es 300

Step-by-step explanation:

the function f(x)=10^x and ploted below.

What is a function?

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.

The x-values are input into the function machine. The function machine then performs its operations and outputs the y-values. The function within can be any function.

function f(x)=10^x

Y = 0

Y greater than 0

(0,1)

Decreases toward 0

Hence, the function f(x)=10^x and plotted below.

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The expression with the correct coefficients in each block is given as follows:

20x³ + 0x² - 7x.

The functions in the context of this problem are defined as follows:

The operation is given as follows:

f(x)g(x) + h(x).

Hence, to obtain the resultant function, we apply the definitions into the operation and the simplify, applying the distributive property and combining the like terms, as follows:

4x(5x² - 4) + 9x = 20x³ - 16x + 9x = 20x³ - 7x.

As there is no x² term, the coefficient of zero multiplies the term x².

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The set {0,1,2,3} as a set builder notation is {x ∈ N | 0 <= x <= 3}

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

Set = {0, 1, 2, 3}

As a general rule:

The set-builder notation is a notation that describes a set by representing its elements or explaining the properties that its members must satisfy

Using a set builder notation, we have the following representation

{x | x ∈ {0, 1, 2, 3}}

It can also be represented as

{x ∈ N | 0 <= x <= 3}

where N is the set of all natural numbers.

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Answer:

20 socks fit $14.99 is the best deal out of the 3

Step-by-step explanation:

Here, we want to know the bag that contain the best deals for socks .

The best way to go about this is to know the unit prices of socks in each of the bags.

Let’s proceed;

12 socks for $9.99

The unit price here is 9.99/12 = 0.8325 per socks

20 socks for 14.99

Unit price here is 14.99/20 = 0.7495

10 socks for 19.99

The unit price here is 19.99/10 = 1.999

Out of all these options , we can see that the second option is actually the cheapest and offers what we should be pick as we are looking for suppliers since it charges the lowest;

So the best deal for socks is in the bag of 20 socks for $19.99

Answer:

The common difference in the given sequence is 5.

Step-by-step explanation:

The common difference in the sequence is 5 because they all add by 5 each time for example 5 + 5= 10 and 10+5=15

Answer:

1/7

Step-by-step explanation:

4/4 is 1 and 28/4 is 7 so 1/7

The answer is 1/7.

To simplify : 4/28

To simplify fractions, we should follow these steps:

Here, the given fraction is 4/28.

At first, we need to write the factors of the numerator and the denominator

Factors of the numerator, 4 = 1, 2, 4.

Factors of the denominator, 28 = 1, 2, 4, 7, 14, 28.

So, the common factors are 1, 2 and 4.

Dividing the numerator and denominator by the common factor, 2;

(4/2) / (28/2)   or,

2/14

And,

(2/2) / (14/2)    or,

1 / 7.

Hence, 1/7 is the simplified fraction of 4/28.

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Answer:

n=-1

Step-by-step explanation:

.....................

By reduction to the absurd, the two lines do not intercept each other because of the following absurd: 5 = - 4.

From statement we have two lines in space, whose vector forms are described below:

(x, y, z) = (1, - 9, 1) + t · (4, 1, 2)     (1)

(x, y, z) = (1, 0, - 9) + s · (5, - 1, 5)     (2)

The point of intersection satisfies the following condition:

(1, - 9, 1) + t · (4, 1, 2) = (1, 0, - 9) + s · (5, - 1, 5)

(1, - 9, 1) - (1, 0, - 9) = s · (5, - 1, 5) + t · (- 4, - 1, - 2)

s · (5, - 1, 5) + t · (- 4, - 1, - 2) = (0, - 9, - 8)

There is a point of intersection if the resulting system of linear equations has at least a solution:

5 · s - 4 · t = 0      (2)

- s - t = - 9      (3)

5 · s - 2 · t = - 8     (4)

By (2):

s = 4 · t/5

(2) in (3):

- 4 · t/5 - t = - 9

- 9 · t/5 = - 9

t/5 = 1

t = 5

(2) in (4):

5 · (4 · t/5) - 2 · t = - 8

4 · t - 2 · t = - 8

2 · t = - 8

t = - 4

By reduction to the absurd, the two lines do not intercept each other because of the following absurd: 5 = - 4.

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The volume of the cylinder generated by rotating the region bounded by y = x³ , y = 8 , x = 0 and x = 9 be, 1608.25 cubic units.

Given, a cylinder generated by rotating the region bounded by the given curves about the specified axis

y = x³ , y = 8 , x = 0 and x = 9

we have to find the volume of the cylinder generated by the given region,

So, using the concept of integration, we get

Volume of the cylinder =  Integrating y from x³ to 8 then integrating x from 0 to 9.

Volume of the cylinder = ∫∫dy dx

Volume of the cylinder = ∫(x³ - 8) dx

Volume of the cylinder = x^4/4 - 8x

Volume of the cylinder = (9)^4/4 - 8(4)

Volume of the cylinder = 1640.25 - 32

Volume of the cylinder = 1608.25

So, the volume of the cylinder be 1608.25 cubic units.

Hence, volume of the cylinder be 1608.25 cubic units.

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Answer:

Option (3)

Step-by-step explanation:

Given expression represents the sum of k terms of a geometric sequence.

\(\sum_{k=1}^{9}2(4)^{k-1}\)

Since, formula to calculate the sum of a geometric sequence is given by,

\(\sum_{n=1}^{n}a(r)^{n-1}=\frac{a(1-r^n)}{1-r}\)

By this formula,sum of 9 terms of the given sequence will be,

\(\sum_{k=1}^{9}2(4)^{k-1}=\frac{2(1-4^9)}{1-4}\)

Therefore, Option (3) will be the answer.

Answer:

Thank you for your service! This was super helpful.

Step-by-step explanation:

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Answer:

|24 - (2x - 6)| < 6

x > 12 or x < 18 (12 < x < 18)

Step-by-step explanation:

Area of the triangle = ½*base*height = ½*8*6 = 4*6 = 24 unit²

Area of rectangle = length * width = (x - 3) * 2 = (2x - 6) unit²

Difference in their areas is given as less than 6. This can be represented as an absolute value of inequality as shown below:

|24 - (2x - 6)| < 6

Solve to find the solution of the inequality by splitting into two as follows:

24 - (2x - 6) < 6 OR 24 - (2x - 6) > -6

Solve for each

24 - 2x + 6 < 6

30 - 2x < 6

Subtract 30 from both sides

-2x < 6 - 30

-2x < -24

Divide both sides by -2. < will change to >, since we are dividing by a negative number.

x > 12

Or

24 - (2x - 6) > -6

24 - 2x + 6 > -6

30 - 2x > -6

Subtract 30 from both sides

-2x > -6 - 30

-2x > -36

Divide both sides by -2

x < 18

The solution of the inequality is x > 12 or x < 18

Or can be written as: 12 < x < 18

Answer:

It would take then 45 minutes to finish the job

Step-by-step explanation:

Answer:

15?

Step-by-step explanation:

The percentage decrease of the depth of the lake from January to August is 20%.

The difference between the initial and final numbers is shown as a percentage reduction. It displays a percentage loss of value compared to the original regardless of the units. The decrease is equal to the initial amount less the final amount.

Given,

The depth of lake in January = 943 feet

The depth of lake in August = 754.4 feet

The difference is = (943-754.4) feet

                             = 186.6 feet

So, the percentage decrease of the depth of the lake from January to August will be =  (186.6 ÷ 943) × 100

                        = 20%

Therefore, the answer is 20%.

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Answer:

V = 100.531 cm³

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Step-by-step explanation:

Step 1: Define Variables

r = 2 cm

h = 8 cm

Step 2: Find Volume

Answer:

Not sure how many chicken wings to make or buy as appetizers for your ... 6 whole wings (or 1.125 lbs) in order to reach a 6 oz serving of actual chicken. ... That would mean there are approximately 4 to 5 chicken wings in a pound. ... You will need approximately 3 ounces of chicken meat per person as a ...

Missing

Step-by-step explanation:

i think

The subsets are {}, {0}.

What is the subset in mathematics?

In mathematics, a subset is a set consisting of elements that are also elements of another set. A set A is said to be a subset of set B if and only if every element of A is also an element of B. In other words, if you have a set A and another set B, and all the elements of set A are present in set B, then set A is considered a subset of set B.

In mathematics, a subset is a collection of elements that belong to a larger set. The elements in a subset can be any type of mathematical objects, such as numbers, vectors, or functions. A set is a subset of itself, and the empty set is a subset of every set.

The subsets of the given set {0} are the empty set {} and the set itself, {0}. So, the subsets of the given set 0 are {}, {0}.

Hence, the subsets are {}, {0}.

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The airplane's groundspeed is approximately 242.25 km/h, and the resultant bearing is approximately 55.04° (relative to true north, measured clockwise).

How to solve for the airplane's groundspeed

To determine the resultant velocity of the airplane, we need to break down the airplane's velocity and the wind's velocity into their respective components and add them. Let's assume that the angles are measured clockwise from true north.

Let's denote:

Vp = airplane's speed = 250 km/h

θp = airplane's heading = 075 degrees

Vw = wind's speed = 85 km/h

θw = wind's heading = 300 degrees

We can then find the eastward (x) and northward (y) components of the velocities:

For the airplane:

Vpx = Vp * cos(θp) = 250 * cos(75 degrees) = 64.95 km/h

Vpy = Vp * sin(θp) = 250 * sin(75 degrees) = 241.92 km/h

For the wind:

Vwx = Vw * cos(θw) = 85 * cos(300 degrees) = 73.60 km/h

Vwy = Vw * sin(θw) = 85 * sin(300 degrees) = -42.50 km/h

We then sum the x and y components of the two velocities to find the resultant velocity components:

Vrx = Vpx + Vwx = 64.95 km/h + 73.60 km/h = 138.55 km/h

Vry = Vpy + Vwy = 241.92 km/h - 42.50 km/h = 199.42 km/h

The magnitude of the resultant velocity, which represents the groundspeed (Vr), is found using the Pythagorean theorem:

Vr = sqrt((Vrx)^2 + (Vry)^2) = sqrt((138.55)^2 + (199.42)^2) = 242.25 km/h

The bearing (θr) of the resultant velocity (relative to north) can be found using inverse tangent:

θr = atan2(Vry, Vrx) = atan2(199.42, 138.55) = 55.04 degrees

Therefore, the airplane's groundspeed is approximately 242.25 km/h, and the resultant bearing is approximately 55.04° (relative to true north, measured clockwise).

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Answer:

52.63% probability that thids intial repair was made by the first technican

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

\(P(B|A) = \frac{P(B)*P(A|B)}{P(A)}\)

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Incomplete repair

Event B: Made by the first technican.

The first technican, who services 40% of the breakdowns, has 5% chance of making incomplete repair.

This means that \(P(B) = 0.4, P(A|B) = 0.05\).

Probability of an incomplete repair:

5% of 40%(first technican) or 3% of 60%(second technican). So

\(P(A) = 0.05*0.4 + 0.03*0.6 = 0.038\)

Given that there is a problem with the production line due to an incomplete repair, what is the probability that thids intial repair was made by the first technican

\(P(B|A) = \frac{0.4*0.05}{0.038} = 0.5263\)

52.63% probability that thids intial repair was made by the first technican

Answer:

Step-by-step explanation:

Because the y intercept is two our y=mx+b equation looks like this

y=mx+2

We then need to find a slope that gives us an x intercept of 3 or satisfies the coordinates of (3,0)

We can plug this in and solve

0=3m+2

-2=3m

-2/3=m

which means our final equation is

-2/3x+2

C

Answer:

\(q=45\)

Step-by-step explanation:

Notice that \((q+2)^{\circ}\) and \((3q-2)^{\circ}\) form a linear pair, that is, they sum to \(180^{\circ}\) as follows:

\((q+2)^{\circ}+(3q-2)^{\circ}=180^{\circ}\\(q+2+3q-2)^{\circ}=180^{\circ}\\(4q)^{\circ}=180^{\circ}\\4q=180\\q=\frac{180}{4}\\q=45\)

Answer:

A= Triangular Prism

B= 16.5 in^3

C=45 in^2

Step-by-step explanation:

Answer:

a. C. Triangular Prism

b. A. 16.5 in.³

c. C. 45 in.²

Answer:

3/5 of the marbles are yellow.

Step-by-step explanation:

Six of the ten = 6 of the 10

This changes to 6/10. Simplify to get 3/5(both were divided by 2).

Check the picture below.

Answer:

2•5

Step-by-step explanation:

substitute (-5x) in x

g(x)=-5x×-5x-(-5x

-5x=25x2+5x

=25x2+5x+5x

=25x2+10x

-25x2=10x

=-25x2/10x

=-2•5x

-x=-2•5

-x/-1=-2•5\-1

x=2•5

Answer:

=  \(5\frac{2}{3}\)Step-by-step explanation:

Answer:

h(2)= - 12

Step-by-step explanation:

What that means is: calculate the y-value when t=2. Where you see t, substitute 2 in the equation. y= - (2)^2 - 2(2) - 4

The answer is - 12

Answer:

-12

Step-by-step explanation:

qu.   h(t) = -t^2 - 2t - 4

where h = 2

= h(t) = (-t^2)- (2^t)- (4)

= h(2) = (-2^2) - (2^2) - (4)

         = (-4) - (4) - (4)

          = -12

The way the brackets are done will help you when its mixed numbers and positives as the first polynomial if negative must be kept in bracket.