Consider the first three terms of the arithmetic sequence 9,14,19Determine d , the common difference Find the nth term, TnDetermine T9, the 9th term in the sequence

For this problem we have to calculate the probability that x is greater or larger than 28

For each i, the probability

Now computing the sum:

The answer is 96%

Explanation:

In the given graph f(x) = a |x| .

The coefficient ''a'' increases the graph of the function will shrink and it will goes to zero.

And when coefficient ''a'' decreases the graph will expands.

The graph in the option C represents the graph below x-axis and the coefficient of |x| will be negative so it will be least value.

Answer: Option C.

Answer: x^2 + y^2 = 73

Step-by-step explanation:

H, K would be the center

R would be the radius

H, K= 0,0

(x-0)^2 + (y-0)^2= r^2

x^2 + y^2= r ^2

To Find Radius, you find distance between Origin, and Point

[tex]D=\sqrt{(x2-x1)^{2}+(y2-y1)^{2} }[/tex]

X2, Y2= (-3, 8)

X1, Y1= (0,0)

[tex]D= \sqrt{((-3)-(0))^{2} + ((8-0))^2} \\D= \sqrt{(-3)^2 + (8)^2} \\D= \sqrt{9+ 64} \\D=\sqrt{73} \\D= 6\sqrt{2}[/tex]

R= 6[tex]\sqrt{2}[/tex]

x^2+y^2= (6[tex]\sqrt{2}[/tex])

or x^2+y^2= 73

The Solution:

To raise a total $600 in 10 days with an estimate of selling 15 cans of soda per day.

To find the amount you should charge for each can is:

Therefore, the correct answer is $4 for each can of soda.

We know that ABC and EBF are complementary, or add up to 90°. So:

ABC + EBF = 90°
ABC = 30°
EBF = 6x°

6x° + 30° = 90°
6x° + 30 - 30 = 90 - 30
6x° = 60°
6x°/6 = 60°/6
x° = 10°

Let's first identify the number of squares in each stage:

Stage 1: 7 squares.

Stage 2: 14 squares.

Stage 3: 21 squares.

If we notice the sequence, we notice that it increases by 7 per stage, therefore:

Stage N: N*S

Where S is always equal to 7.

Foe example, in the stage 4:

Stage 4: 4*7 = 28 squares.

The equation is:

7*N

Given,

The coodinates of the points are P(7,7).

The scale factor is 1/2.

The coordinates of center of dilation is (1,3).

In the operation described here, it is the vector (center of dilation→ similar point) that will get multiplied by a factor 1/2.

The vector from the centre (1,3) to point (7,7) has coordinates (7,7) - (1,3)

Now, dilated the coordinates by the scale factor of 1/2 then,

Image of the point is at,

Hence, the coordinates of the image is (4,9/2).

The given quadratic inequation,

Subtract 3 on both sides,

Multiply both sides by -1 that results in a change of symbol of the inequality,

Use the method of completing squares,

Consider that the square of any real number is always positive, and hence greater than a negative number.

So we can observe that the result obtained above is valid for all real number values of 'x'.

Thus, the solution of the given inequality is the set of all real numbers,

t = time, in days

k = 0.1472

N = 40 gram

Answer:

Top Left: -6

Top Right: -x

Bottom Left: 12x

Bottom Right: 2x^2

Trinomial: 2x^2 + 11x - 6

Step-by-step explanation:

Hello! Let's help you with your question here!

So, box method. From your question, the process is pretty easy. It would require a bit more work when factoring a trinomial.

The equation in question is already factored which is very useful, now it's a matter of the values in the box. I am on the assumption that the two top boxes and the two left boxes are filled in for you and you just need to fill the middle (if that isn't the case, do let me know). To just fill the boxes in the middle, evaluate it like you would multiplying rows and columns. So, it would be as such:

       6      x

-1    -6      -x

2x  12x    2x^2

In terms of simplifying, we use FOIL to expand it out into a trinomial and collect like terms. Therefore, it becomes:

[tex](x+6)(2x-1) = (x*2x)+(x*(-1))+(6*2x)+(6*(-1))[/tex]

[tex]= 2x^2 + (-x) + (12x) + (-6)[/tex]

[tex]=2x^2+11x-6[/tex]

Let me know if there are any questions and if it is wrong, do let me know!

Problem:

If the cost of 15 eggs is $75, then find out the cost of 4 eggs​?

Solution:

If the cost of 15 eggs is $75, then each egg cost:

thus, 4 eggs cost :

$5 x 4 = $20

then, the correct answer is $20

Answer:

on what?

Step-by-step explanation:

60 seventh graders make up 15% of the students in the school.

The procedure to solve this problem will be to first, divide 60 by 15 to find how much people make up 1%, and then multiply that number of people by 100% to find the total of students.

Step 1. Divide 60 people by 15% to find how many people are 1% of the students:

4 students are 1% of the total students.

Step 2. Now, we multiply the number we just find in step 1 by 100% to find the total amount of students in the school:

There are 400 students in the school.

Answer: 400

ANSWER and EXPLANATION

1) We want to find the z score for a student who had a GPA of 3.8.

To do this, we have to apply the formula for z score:

where:

x = score/GPA

μ = mean

σ = standard deviation

Therefore, the z score for the student with a GPA of 3.8 is:

2) The z score is a measure of how far away a data point is from the mean, in other words, it is a measure of how many standard deviations a data point is above or below a mean.

We can find how many standard deviations there are in a z score of -2.4 by dividing -2.4 by the standard deviation (0.6):

Therefore, since the z score is negative, we can conclude that the student's GPA is 4 standard deviations below the mean value.

We have a piecewise function that we should evaluate based on the condition of the independent variable

It is the value of the independent variable that will dictate which of the two equations to use

We can see that the value of the independent variable given is -3

Mathematically, -3 is not greater than 3; so this means the value of the independent variable given falls within the domain of the second part of the piece-wise function

Hence, we are to evaluate f(x) = -(x + 1) at the point x = -3

Thus;

f(-3) = -(-3 + 1)

f(-3) = -(-2)

f(-3) = 2

Answer:

4/10, 20/50, and 40/100

Hope this is helpful

Answer:

The cake is larger by 8 in^3

Step-by-step explanation:

The volume equals the product of the length of all 3 sides, or length * height * width

The volume of the cake is 8in*5in*2in which equals 80 in^3

The volume of the brownie tin is 9in*4in*2in which is 72 in^3

Clearly, the cake has more volume since 80 in^3 > 72 in^3

It is greater by the brownie tin by  80 in^3 - 72 in^3, or 8 cubic inches.

Answer:

a) 1835 feet.

b) 1323 feet.

Step-by-step explanation:

Substitute each value of t into the equation to find the height at that particular time.

When t = 2, P(t) = -16(2)^2 + 1899 ⇒ P(t) = -64 + 1899 ⇒ P(t) = 1835.

When t = 6, P(t) = -16(6)^2 + 1899 ⇒ P(t) = -576 + 1899 ⇒ P(t) = 1323.

Answer:

.536 would be the correct answer. You could estimate by rounding 1.34 to 1 and 0.4 is close to .5 or 1/2.  What is 1/2 of 1 1/2 or .5.  This would lead me to place the decimal before the 5.

Step-by-step explanation:

The answer is option A 34 units.

We need to count the distance between the points and then add them to get the perimeter.

L and M are 5 units away, as well as X from J

L and X are 12 units away, as well as M from J

Now we can add the distances:

5 + 5 + 12 + 12 = 34

THen the perimeter is 34 units

The number of downloads of the standard version is 949.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Two versions of a song.

S = Standard version size = 2.3 MB

H = High-quality size = 4.1 MB

Hgh quality size = 3 x Standard quality size

H = 3 x S

H = 3S ____(1)

The total size downloaded for the two versions was 3796 MB.

This can be written as:

H + S = 3796 ______(2)

From (1) and (2) we get,

3S + S = 3796

4S = 3796

S = 3796/4

S = 949

Now,

From (1),

H = 3S = 3 x 949 = 2847

The number of downloads of the standard version is 949

The number of downloads of the High-quality version is 2847

Thus,

The number of downloads of the standard version is 949.

Learn more about equations here:

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we have that

A unit rate is a ratio between two numbers, where the second quantity is one unit

Example

5/1 m/sec is the same that 5 m/sec

that means

speed is 5 meters per one second

2 example

$6 per oz

that means -----> the cost is $6 per one ounce

Using the law of cosines, we have the following relation between the measures of this triangle:

Plugging the given values, we have:

Solving for c, we have our answer:

The measure of c is 2.556 miles.

The Standard Form of a Quadratic Function:

Using the given points (-1,5), (0,3), and (3,9)​, let's substitute each point to the equation.

At (-1,5):

At (0,3):

At (3,9):

We now get these equations:

5 = a - b + c ; 3 =c; 9 = 9a + 3b + c

Let's determine the value of a, b and c. We get,

Substituting 3 = c to 5 = a - b + c,

Let's substitute 3 = c and b = a - 2 to 9 = 9a + 3b + c,

Since a = 1, let's solve for the value of b which is b = a - 2.

Since we've identified that a = 1, b = -1 and c = 3, let's substitute the values to the standard form of a quadratic function to be able to make the equation.

Therefore, the quadratic function in a standard form whose graph passes through the given points (-1,5), (0,3), (3,9)​ is y = x^2 - x + 3.

Let’s find the equation of a circle with

radius r = 7 and center (h,k) =(6,8).

By definition, an equation of the circle with center (h,k) and radius r is

This is called the standard form for the equation of the circle. Then, in our case, replacing the data we have, we should have:

so, we can conclude that the equation of the circle with center (6,8) and radius 7 is :

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given equation

STEP 2: Simplify the equation

Expand the two sides of the equation

STEP 3: Simplify both sides

Hence, the value of x is 1

We can use the rule of three to solve this question, first, we need to build our relation, remeber that we need to put calories on one side and ounces on the other:

Now we need to solve it for x, we can build it as a fraction

Now we can solve it for "x", let's do a cross multiplication:

Therefore

We can divide by 12

Now we can just to the calculus and we will have the value of x, if we do it we get

Therefore, there are 295 calories in 20 ounces of drink

As a function, the cost C(x) of publishing the newsletter would be C(x) = 75.00 + 0.25x, where the number of copies printed is x.

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

We have been given that the cost of producing a newsletter is an initial charge of $75.00 for formatting and editing plus $0.25 for printing each copy.

Let the number of copies printed x  and the cost C(x) of printing the newsletter as a function

As per the given data, the function would be as:

C(x) = 75.00 + 0.25x

Therefore, the cost C(x) of printing the newsletter as a function expressed would be C(x) = 75.00 + 0.25x.

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We know:

Profit = Revenue - Cost

When Revenue is equal to Cost, we have the break-even point.

Let's equate revenue and cost:

To find the value of x, we can take all terms to LHS (Left-Hand-Side) and use the quadratic formula. The process of finding x is shown below:

We can't have a negative value, so we disregard x = -2.7

What we have is

x = 9.7

So,

For 10 units (and above) sold, we will have a profit.

For 9 units (and below) sold, we will incur a loss.