2. Marshall wants to save at least $175
for a new video game system and
some games. So far, he has saved
$68.50.
Part A
Write an inequality to represent the
amount of money, a, that Marshall still
needs to save.

The number that take (a) both PE is 6 girls (b) Gymnastic but not acrobat is 7 girls (c)  At least one PE is 18 girls

How to determine the numbers?

Recall that Set theory is a branch of mathematical logic that studies sets, which can be informally described as collections of objects.

From the given parameters,

(a)  The number that play both PE is given as

13 - x + x + 17 - x + 1 = 25

Solving the equation to get the value of x

13+17-x = 25

⇒ 31 -x =25

Collecting like terms we have

-x = 25 - 31

- x = -6

Dividing by a minus we have

x = 6

This means that 5 girls play both PE

(b)  Number that play gymnastic but not acrobat is given as

Gymnastic only that is

13 - x

13 - 6 = 7 girls

(c)  Number that play at least one game is calculated thus:

n(G) ∪ n(A)

That is (13 - x )  + (17 - x)

= 13-6 + 17 -6

7 + 11 = 18 girls

Answer: 2,556 seats

Step-by-step explanation

18 x 142 =2,556 seats

The numeric value of the function f(x) at x = 5 is given as follows:

f(5) = 74.75.

The second derivative of the function f(x) is given as follows:

f''(x) = 2x + 6sin(x).

Integrating the second derivative, the first derivative of the function is given as follows:

f'(x) = x² - 6cos(x) + K.

When x = 0, y' = 2, hence the constant K is given as follows:

2 = -6 + K

K = 8.

Hence:

f'(x) = x² - 6cos(x) + 8.

Integrating the first derivative, the function is given as follows:

f(x) = x³/3 - 6sin(x) + 8x + K.

When x = 0, y = 4, hence the constant K is given as follows:

K = 4.

Then:

f(x) = x³/3 - 6sin(x) + 8x + 4.

The numeric value at x = 5 is given as follows:

f(5) = 5³/5 - 6sin(5) + 8(5) + 4

f(5) = 74.75.

More can be learned about integrals at https://brainly.com/question/22008756

#SPJ1

Investing could help you grow your funds over time. For example, if you were to invest $30 per month in a stock mutual fund that has a long-term average annual return of 8%, after 10 years, your investment could grow to about $5,000.

This could provide you with more financial security and give you the opportunity to reach your financial goals faster than keeping your money in a savings account.

Some investment products that you could consider are stocks, bonds, mutual funds, and exchange-traded funds (ETFs). You could also consider robo-advisors, which use algorithms to create and manage investment portfolios for you based on your goals and risk tolerance.

When it comes to choosing investments, there are a few things you can consider. First, think about your financial goals and your time horizon. This will help you determine how much risk you can afford to take on.

Thus, if you have a long-term goal, such as saving for retirement, you may be able to afford to take on more risk than if you have a short-term goal, such as saving for a down payment on a house.

For more details regarding investment, visit:

https://brainly.com/question/15353704

#SPJ1

The experimental probability that an arrangement will contain at least one yellow balloon is 0.767. Then the correct option is C.

Given that:

Each balloon arrangement in Ethan's class has four balloons in it. The likelihood of each balloon being red, blue, or yellow is equal. To represent this possibility, Ethan made a spinner.

ybrr, bybb, rbbb, rrry, rbbb, rryy, yybb, ryry, ryyr, rbyr, ryyr, rryy, rrrr, yrby, bbyy, byyr, byyr, byyb, rbby, ybry, rryy, rbrr, rybb, bbbr, rrbr, ybry, ryrr, rryb, rrrb, rryr

The experimental probability that an arrangement will contain at least one yellow balloon is calculated as,

P = 23 / 30

P = 0.767

Thus, the correct option is C.

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ1

We can see here that x will be = 123.4°.

A polygon is actually known to be a two-dimensional geometric shape. It is a shape that is known to be defined by a closed path. It consists of finite sequence of straight line segments.

The segments are actually known as sides or edges and which are connected at vertices or corners.

Looking at the shape, we see that the regular pentagon and heptagon are joined together on one side.

Thus, exterior angle of a regular pentagon (5 sides) = 360°/5 = 72°.

The exterior angle of a regular heptagon (7 sides) = 360°/7 = 51.4°

Thus, x° = 72° + 51.4° = 123.4°

Learn more about polygon on https://brainly.com/question/1592456

#SPJ1

Answer:

B

Step-by-step explanation:

I think that may be right if it is have a good day,:))

y = -x + 7

Slope-intercept form can give us valuable information about a graph.

Point-Slope Form

There are multiple ways to solve this problem; I am simply showing the way I use most often.

We can plug the known information into point-slope form and then simplify the equation into slope-intercept form. Point-slope is written as:

In this equation, y₁ and x₁ are the y and x values we are given and m is the slope. So, plug in the information.

Then, simplify the right side by distributing the -1.

Next, add 4 to both sides.

The equation in slope-intercept form is y = -x + 7.

Slope-intercept Form

Slope-intercept form is written as y = mx + b, where m is the slope and b is the y-intercept. So, our equation, y = -x + 7, shows that the slope is -1 and the y-intercept is 7. Using this information, we can compare the line to other linear functions or graph the line if needed.

Answer:

y = -x + 7 is your correct answer

Step-by-step explanation:

Answer:

approximately 7.07 square feet

Step-by-step explanation:

To find the area of a circle, we use the formula A = πr^2, where A is the area and r is the radius of the circle.

Given the radius of the circle is 1.5 ft, we can substitute this value into the formula:

A = π(1.5)^2

A = 7.07 square feet (rounded to the nearest hundredth)

Therefore, the area of the circle is approximately 7.07 square feet.

Answer:

A= 1.77 units squared.

Step-by-step explanation:

To find your answer, you would first need the formula. It would be A=πr2. In your image, 1.5cm is the diameter, twice the radius. How to find the radius is easy. To do that, you would divide by two.

1.5/2 <---- shown here (which would equal 0.75)

A=πr2

A=π(0.75)2

A=π(0.5625)

A= 1.76625

However, to round your answer, you would get 1.77

Note that the doubling equation can be written as: y = 1000 * 2⁽ˣ/⁷*⁹⁵⁾

The doubling equation for the information given in question 4 can be written as:

y = 1000 * 2⁽ˣ⁺k⁾


To solve for k, we will use the fasts that:

on 240 days after the 100,000- death mark, there will be 2 million deaths.

2000,000 = 100 * x ^(240/k)

Takin the log of both sides we have:

Log 2 (2,000) =log2 (2^240/k))

⇒ Log 2 (2,000) =240/k * log 2(2)

⇒ log 2 (2000) = 240/k
Making k subjet of the formula, we have

k = 240/log2 2000)

k [tex]\approx[/tex] 7.95

Thus, the doubling equation is y = 1000 * 2⁽ˣ/⁷*⁹⁵⁾

Learn more about doubling equation at:

https://brainly.com/question/30009863

#SPJ1

Full Question:

Although part of your question is missing, you might be referring to this full question:

- We know that the number of deaths is growing exponentially, so we can use the exponential function y = a * bnx to model it. - We also know that on day O, there were 1,000 deaths, and on day 240 after the 100,000-death mark, there will be 2,000,000 deaths. - We can use these two points to solve for a and b.

Write a doubling equation for the information in question 4 that will find the number of Covid 19 related deaths for any given day. Then calculate the number of deaths expected 240 days from the 100,000-death mark.

Answer:

4 feet

Step-by-step explanation:

Their is one rectangular prison divided into two.

The volume of the first one is

V1= L X H X W=80.

Volume of the second one is

V2= L X H X W

V2= 6 X H X 5

V2 = 30H

Now from the question, the total volume is 200cubic feet which means V1 + V2 = 200, recall that V1=80 and V2=30H, so we say;

80+30H=200, collecting the like term we have, 30H=200-80.

30H=120, divide both side by 30

30H/30=120/30

H= 4feet.

Height is 4feet.

The three adverbs in the sentence are:

hard (modifying the verb "raining")

clearly (modifying the verb "see")

almost (modifying the verb "crashed")

1) "Hard" is an adverb of manner that describes how the rain was falling. It indicates that the rain was falling with intensity or force, which made it difficult for the driver to see.

2) "Clearly" is an adverb of manner that describes how the driver was seeing. It indicates that the driver was having difficulty seeing due to the heavy rain, which was affecting their vision.

3) "Almost" is an adverb of degree that modifies the verb "crashed." It indicates that the driver came very close to crashing their shiny new car, but managed to avoid a collision at the last moment.

To know more about adverbs follow

https://brainly.com/question/12611359

#SPJ1

The remainder of the synthetic division of x^4 - 4x^2 + 10x + 13 is 33 which is a non-zero number, x - 2 is not a root of the polynomial.

The remainder of the synthetic division of x^4 - 4x^2 + 10x + 13 is obtained as follows:

Using the method of synthetic division x^4 - 4x^2 + 10x + 13 to divide by x - 2 using synthetic division:

2 | 1 0 -4 10 13

| 2 4 0 20

|--------------

| 1 2 0 10 33

The final remainder is 33.

Therefore, by synthetic division:

x^4 - 4x^2 + 10x + 13 = (x - 2)(x^3 + 2x^2 + 10) + 33

Learn more about synthetic division at: https://brainly.com/question/24662212

#SPJ1

The line of reflection between pentagons PQRST and P'Q'R'S'T' include the following: A. x = 0.

In Geometry, a reflection over or across the y-axis or line x = 0 is represented and modeled by this transformation rule (x, y) → (-x, y).

By applying a reflection over the y-axis to the coordinate of the given pentagon PQRST, we have the following coordinates:

Coordinate P = (-4, 6)   →  Coordinate P' = (-(-4), 6) = (4, 6).

In this scenario and exercise, a line of reflection that would map pentagon PQRST onto itself is an equation of the line that passes through the origin.

Read more on reflection here: brainly.com/question/27912791

#SPJ1

The range of the function, in dollars, is

R: [50, 510]

The range of a function is the set of possible outputs of said function. In this case, we know that the function is:

E = 50 + 2v

Where v is the number of games sold.

Here the domain will go from v = 0 (no games sold)

to v = 230 (the number of the play's audience)

Then the range is:

E = 50 + 2*0 = 50

E = 50 + 2*230 = 510

R: [50, 510]

Learn more about range at:

https://brainly.com/question/10197594

#SPJ1

Answer: y = 2x + 2

Step-by-step explanation: First, you find slope between the points with point slope form. (8-(-6))/(3-(-4) = 2.

2 is the slope.

Now we have y = 2x + b.

To find b, we pick a coordinate and insert the values.

8 = 2(3) + b

8 = 6 + b

8 - 6 = b

b = 2

Put it together, you have y = 2x + 2

the y intercept of the linear function in the table is

A linear function is represented using the equation

y = mx + c

the parameters are defined as

y = out put values

m  = slope

x = input variable

c = y - intercept

Solving for slope using values in the table

m = (y2 - y1) / (x2 - x1)

m = (10 - 13) / (4 - 5)

m = -3 / -1

m = 3

Using point slope formula

y - y1 = m(x - x1)

y - 13 = 3(x - 5)

y = 3x - 15 + 13

y = 3x - 2

hence the y intercept is -2

Learn more about linear functions at

https://brainly.com/question/15602982

#SPJ1

The area of the rhombus is 33 square unit.

We have,

x = 6 units, y = 3 units, and h = 5 units.

Now, area of Triangle

= 2 x 1/2 x b x h

= 2 x 1/2 x 6 x 3

= 18 square unit

and, area of Rectangle

= l w

= 5 x 3

= 15 square unit

Thus, the Area of Rhombus

= 18 + 15

= 33 square unit

Learn more about Area here:

https://brainly.com/question/27683633

#SPJ1

Answer:

[tex]m_{perpendicular}[/tex] = 6

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

x + 6y = - 24 ( subtract x from both sides )

6y = - x - 24 ( divide through by 6 )

y = - [tex]\frac{1}{6}[/tex] x - 4 ← in slope- intercept form

with slope m = - [tex]\frac{1}{6}[/tex]

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{6} }[/tex] = 6

Surface area of a rectangular prism is 136 sq. units.

Length of the base of prism, l = 4 units

Breadth of the base of prism, b = 3 units

Height of the base of prism, h = 8

Surface area of a rectangular prism is given as,

SA = 2(lb + bh + lh)

SA = 2[(4 x 3) + (3 x 8) + (4 x 8)

SA = 136 sq. units

To learn more about Surface area of a rectangular prism, click:

https://brainly.com/question/14987814

#SPJ1

Answer:

[tex]\huge\boxed{\sf 1}[/tex]

Step-by-step explanation:

= [tex]\displaystyle (\frac{1}{4} )^0[/tex]

Using exponent rule:

So,

[tex]\displaystyle (\frac{1}{4} )^0=1[/tex]

[tex]\rule[225]{225}{2}[/tex]

Answer:

its one and three

Step-by-step explanation:

Answer: Its high

Step-by-step explanation: It just is

The probability that Brent draws mismatched socks is 32/153.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

Since Brent is drawing two socks without replacement, there are 18 choices for the first sock and 17 choices for the second sock.

Therefore, there are 18 x 17 = 306 possible ways Brent could draw two socks.

For Brent to have mismatched socks, he needs to draw a white sock first and a black sock second, or a black sock first and a white sock second.

Let's consider the first case.

There are 16 white socks and 2 black socks, so there are 16 x 2 = 32 ways Brent could draw a white sock first and a black sock second.

For the second case, there are 2 black socks and 16 white socks, so there are 2 x 16 = 32 ways Brent could draw a black sock first and a white sock second.

Therefore, the probability of Brent drawing mismatched socks is:

= (32 + 32) / 306

= 64 / 306

= 32 / 153

Thus, the probability that Brent draws mismatched socks is 32/153.

Learn more about probability here:

brainly.com/question/11234923

#SPJ2

The length of each rope if all the ropes had the same length is 3 ft

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

The dot plot

From the dot plot, we can see that the data are normally distributed

This means that the length of each rope is the mean, the median and the mode

Given that the data on the dot plot is normally distributed, we have the following values

So, we can conclude that the length is 3 ft

Read more about dot plot at

https://brainly.com/question/14438425

#SPJ1

Answer:

If im not mistakeing

Step-by-step explanation:

(-15,2)

OR

2,15

or 2,-15

it's one of those three. im srry

Answer:

B. f(x) = 4x² + x - 3

Step-by-step explanation:

A quadratic is a second-degree polynomial. This means that the highest power that x is raised to is 2.

We can see that option B is the only one that meets this requirement. Option A is a third-power monomial, so it is not a quadratic. Option C is a linear function, so it is not a quadratic.

Answer: A.

Step-by-step explanation:

    The range is the difference between the minimum and maximum values. We look at the dashed lines for these values. Ava's Average Autos have a larger spread of prices, as shown by the longer box plot for their store.

Answer:

Step-by-step explanation: A. ΔJKL and ΔLMN have only one pair of angles that are congruent

C. ΔJKL has angles that measure

step 1

Find the value of x

we know that

----> by vertical angles

substitute the given values

solve for x

step 2

Find the measure of the interior angles of triangle JKL

we have

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

therefore

Triangle JKL has angles that measure

step 3

Find the measure of the interior angles of triangle LMN

we have

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

Triangle LMN has angles that measure

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

The corresponding angles of triangle JKL and LMN are not congruent

therefore

The triangles are not similar

Verify each statement

Part a) ΔJKL and ΔLMN have only one pair of angles that are congruent

The statement is true (see the explanation)

Part b) ΔJKL and ΔLMN have two pairs of angles that are congruent

The statement is false

Because have only one pair of angles that are congruent

Part c) ΔJKL has angles that measure

The statement is true  (see the explanation)

Part d) ΔLMN has angles that measure

The statement is false

Because, Triangle LMN has angles that measure

Part e) ΔJKL and ΔLMN are similar

The statement is false

Because, the corresponding angles are not congruent

[tex] \\ 7 \sqrt{ \\ + 45)4} [/tex]

Based on the tangent line and the radii, the value of x given that AB is tangent to the circle is 10

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

AB is tangent to the circle

As a general rule:

The radius of circle is perpendicular to the tangent line

This means that we can calculate x using the Pythagorean theorem

So, we have

x^2 = 6^2 + 8^2

Evaluate the sum of exponents

So, we have

x^2 = 100

So, we have

x = 10

Hence, the calculated value of x in the circle is 10

Read more about tangent lines at

https://brainly.com/question/16038958

#SPJ1