In Mr. Romano‘s class, 40% of the students like baseball. If 14 of his students
like baseball, how many students are in Mr.Romano’s Class?

Answer:

First one is the graph second one is the equation

Step-by-step explanation:

Hope this helps :)

Answer:

Step-by-step explanation:

as graphed

Given:

Central angle = [tex]\dfrac{\pi}{4}[/tex]

Arc length = 1.5 in

To find:

The radius of the circle.

Solution:

We know that the formula for arc length is

[tex]s=r\theta[/tex]

Where r is radius and [tex]\theta [/tex] is the central angle in radian.

Substitute the given values in the above formula.

[tex]1.5=r\times \dfrac{\pi}{4}[/tex]

[tex]6=\pi r[/tex]

[tex]\dfrac{6}{\pi}=r[/tex]

[tex]\dfrac{6}{3.14}=r[/tex]

On further simplifiation, we get

[tex]r=1.910828[/tex]

[tex]r\approx 1.91[/tex]

Therefore, the radius of the circle is 1.91 in.

Answer:

[tex]t=7.85 years[/tex]

Step-by-step explanation:

We can write this rate as an ordinary differential equation.

[tex]\frac{dP}{dt}=aP[/tex]

Where a is proportional constant, P the population variable, and t the time.

[tex]\frac{dP}{P}=adt[/tex]

Integrating each side of the equation.

[tex]\int \frac{dP}{P}=\int adt[/tex]

[tex]ln(P)=at+c[/tex]

[tex]P=e^{at+c}[/tex]

[tex]P=e^{c}e^{at}=Ce^{at}[/tex]

To find C we need to use the initial condiction, it means evaluae P at t=0.

[tex]P_{0}=Ce^{0}=C[/tex]

[tex]P=P_{0}e^{at}[/tex]

Now, we use the sentence  the population has doubled in 5 years.

[tex]2P_{0}=P_{0}e^{a5}[/tex]

We can find "a" in this condition.

[tex]2=e^{a5}[/tex]

[tex]ln(2)=a5[/tex]

[tex]a=\frac{ln(2)}{5}[/tex]

[tex]a=0.14[/tex]

Finally, let's find how long will it take to triple.

[tex]3P_{0}=P_{0}e^{0.14t}[/tex]

[tex]3=e^{0.14t}[/tex]

[tex]t=\frac{ln(3)}{0.14}[/tex]

[tex]t=7.85 years[/tex]

I hope it helps you!

Answer:

A

Step-by-step explanation:

A rhombus is a quadrilateral whose four sides all have the same length. if you look at the picture I sent, A(6,-1) forms a rhombus where all of the sides are an equal length.

Step-by-step explanation:

i assume this is the question you asked me to look at.

Well, angle 116° and y are supplementary angles

therefore,116°+y=180°

y=180°-116°=64°

Now to find x

x+y+125+72=360°

x+64+125+72=360

x+261=360

x=360-261=99°

The measure of x° is  99° and the measure of y° is 64°.

What is quadrilateral?

A quadrilateral is a polygon with four sides four angles and four vertices. Whenever we name a quadrilateral, we need to keep in mind the order of the vertices.

From the given figure,

116°+y°=180° (Sum of adjacent angles is 180°)

y°=180°-116°

y°=64°

Sum of interior angles of quadrilateral is 360°.

Here, x°+y°+72°+125°=360°

x°+64°+72°+125°=360°

x°+261°=360°

x°=99°

Therefore, the measure of x° is  99° and the measure of y° is 64°.

Learn more about the quadrilaterals here:

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Answer:

37.46

Step-by-step explanation:

I think not sure tho

Answer: They walked 11/12 miles

Step-by-step explanation:

1/4 + 4/6

3/12 + 8/12

11/12

Answer:

Step-by-step explanation:

Answer: 150 sandwhiches

Step-by-step explanation: 60 sandwhiches in 4 hours. 15 sandwhiches per hour so you add 30 to the doulbe of 60 which is 120 then you add 30

1:20 i think sooo.Je suis américain et habite dans les montagnes vertes du vermont . Je premier apprend français il y a un an parce que c'est un beau langue . Oui, je sais mon français est mauvais, mais J'aime l'apprendre . Je suis dix-sept et j'ai un chien blanc petit . Ma famille l'appelle snowball et il est tres gentil . Mon préféré endroit en la monde est les montagnes car ils sont très beau dans tout quatre saisons . Merci pour votre temps et au revoir .

Answer:

Step-by-step explanation:

use an ASA triangle  with law of sine

since we know that 180 = 20 +45 + C   .. solve for C = 115°

now use  law of sines    c/ sin(C) = b/sin(B) .. and solve for b

Sin(20)*100/sin(115) = b

b = 37.73774 ft

that's the hypotenuse of the 45 triangle

SOH CAH TOA   to remember how trig functions fit

use b*Cos(45) = adj

26.6846 = adj

The bird is 26.7 ft. from the ground

Answer:

The Probability that someone lives in their home for 40 years or more

[tex]P(X\geq 40 ) = P( Z\geq3.50 )[/tex] = 0.0002

Step-by-step explanation:

Explanation:-

Given mean of the Population = 20 years

The standard deviation of the Population = 5.7 years

Let 'X' be the random variable in normal distribution

[tex]Z = \frac{x-mean }{S.D} = \frac{40-20}{5.7} = 3.508[/tex]

The Probability that someone lives in their home for 40 years or more

[tex]P(X\geq 40 ) = P( Z\geq3.50 )[/tex]

                 =  1 - P( Z< 3.50)

                = 1 - ( 0.5 + A(3.50)

                = 0.5 - 0.4998     ( from normal table )

               = 0.0002

Answer:

It is b and a

Step-by-step explanation:

Graph the inequality by finding the boundary line, then shading the appropriate area.

y>−7/3+2x/3

Answer: b and a is ur answer

Step-by-step explanation:

Answer:

4.5 would be the answer

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

divide 1/5,280 and then multiply that by 6,600

Answer:

the answer is c

Step-by-step explanation:

multiply 6,600 by 1 and that will give you 6,600 again

after that you divide 6,600 and 5,280 that will get you 1.25

if you think I'm wrong just do it on the calculator it will give you 1.25

have a nice day!!

Answer:

draw the same shape but multiply all the sizes to be bigger or smaller

Answer: 3,285 Liters

Step-by-step explanation:

In the actual case, all your flushes consume 6 L of water.

You flush 4 times per day, then you consume 4 times 6 L per day, this is:

4*6L = 24 L per day.

And in one year there are 365 days, then in one year you consume:

365*24 L = 8,760 L

Now, if you upgrade the toilet, now per day you use:

one time 6 L and 3 times 3 L

Then in day, you use:

1*6 L + 3*3 L = 6L + 9L = 15L

And in the complete year, you will use 365 times that, which is:

365*15 L = 5,475 L

The amount of water that you would save is equal to the difference between the amount that you use in one year with no upgrade (8,760 L) and the amount that you would use in a year if you upgraded your toilet ( 5,475 L)

The difference is:

D = 8,760 L - 5,475 L = 3,285 L

This means that, in this situation, you would save 3,285 liters of water per year if you upgrade your toilet.

Answer:

-25+? = -5

cross -5 over and it the negative sign would turn to postive sign

-25+(5)=?

Therefore answer = 20

To confirm this answer

-25+20= -5

9514 1404 393

Answer:

  336 cm^2

Step-by-step explanation:

The area of a trapezoid is given by the formula ...

  A = 1/2(b1 +b2)h

where b1 and b2 are the base lengths, and h is the height. Filling in the values shown gives ...

  A = (1/2)(28 +14)(16) = (1/2)(42)(16) = 336 . . . . cm^2

Answer:

we reject H₀

We have enough evidence to claim that people in the sample are significantly  more satisfied than others in general population at 95 % of CI

Step-by-step explanation:

Population mean    μ₀  = 20

Sample data   18  23  24 44  19 27 23 26 25

Then:

Sample mean      μ   =  25,44

Sample standard deviation     s = 7,14

Sample size     n  =  9

Hypoyhesis test:

Null hypothesis                                H₀              μ   =   μ₀

Alternative hypothesis                   Hₐ               μ   >   μ₀

Significance level    α  = 0,05    CI = 95 %

We must develop a  t-student one-tail test  ( to the right ) as follows

t(c)  =  ??

degree of freedom    df = n - 1         df =  8      and    α = 0,05

Then from t-student table    t(c)  =  1, 8595

To calculate   t(s)  =  (  μ  -  μ₀  ) / s/√n

t(s)  =  ( 25,44  -  20 ) * √9 / 7,14

t(s)  = 5,44*3 / 7,14

t(s)  = 2,29

Comparing   t(c) and  t(s)

t(s)  >  t(c)

Then t(s) is in the rejection region   we reject H₀

We have enough evidence to claim that people in the sample are significantly  more satisfied than others in general population at 95 % of CI

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Principal (P)= $1,800

Number of periods (t)= 6 months

Monthly interest rate (r)= 0.144/12= 0.012

To calculate the interest to be paid and the total amount due, we need to use the following formula:

I= P*r*t

I= 1,800*6*0.012

I= $129.6

Total amount= $1,929.6

Answer:

O A = Bx H and A = L + L + W + W.

Step-by-step explanation:

Answer:

437.999 + 0.001 = 438

Step-by-step explanation:

Answer:

W = 55T

Step-by-step explanation:

He types 110 / 2 = 55 words every minute. Thus, W = 55T

Answer:

15/8 and mixed number is 1 7/8

Step-by-step explanation:

Answer:

1 7/8

Step-by-step explanation

Answer:

See below.

Step-by-step explanation:

The y-intercept is the point where the line passes the y-axis. In this instance, that is at the point (0, 3).

The roots are the x-intercepts are the points where the line crosses the x-axis. In this instance, the roots are x = -3 and x = -1.

The turning point is the vertex of the equation. In this instance, the vertex is on the point (-2, -1).

They would be outraged and make a mockery of the idea, since they belived that girls should remain at home doing chores and learn to cook instead of getting a education.

Answer:

6

Step-by-step explanation:

Search it up.

For 24 Tea bags 6  quarts of iced tea that can be made.

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

We have the Table,

With 8 tea bags, 2 Quartz of Iced Tea made.

As, there is proportionality between two values.

So, 16 / 4= 24 / x

4 = 24 / x

x = 24/4

x= 6

Hence, For 24 Tea bags 6  quarts of iced tea that can be made.

Learn more about proportion here:

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Answer:

c. 2

Step-by-step explanation:

-y=-2x+8

I hope this helps