since the base of the refraction cup is a half circle how can you find the radius, what is the radius.

Answer:

i think it is 5/12???

I hope i am right :C, if not you can delete this answer

The amount of fiber Jodi needs to eat is 6000 milligrams or 6 grams if the nutritionists recommend that people eat 31,000 milligrams of fiber each day.

It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.

We have:

Some nutritionists recommend that people eat 31,000 milligrams of fiber each day.

The total amount of fiber Jodi took = 19 + 4 + 2(1) = 25 grams

1 gram = 1000 milligrams

25 grams = 25000 milligrams

The amount of fiber she needs to eat

= 31000 - 25000

= 6000 milligrams

or

= 6 grams

Thus, the amount of fiber Jodi needs to eat is 6000 milligrams or 6 grams if the nutritionists recommend that people eat 31,000 milligrams of fiber each day.

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Answer:

[tex] V = \pi r^2 h[/tex]

For this case we know that [tex] r=5m[/tex] represent the radius, [tex] h = 10m[/tex] the height and the rate given is:

[tex] \frac{dV}{dt}= \frac{100 L}{min}[/tex]

[tex] Q = 100 \frac{L}{min} *\frac{1m^3}{1000L}= 0.1 \frac{m^3}{min}[/tex]

And replacing we got:

[tex] \frac{dh}{dt}=\frac{0.1 m^3/min}{\pi (5m)^2}= 0.0012732 \frac{m}{min}[/tex]

And that represent [tex] 0.127 \frac{cm}{min}[/tex]

Step-by-step explanation:

For a tank similar to a cylinder the volume is given by:

[tex] V = \pi r^2 h[/tex]

For this case we know that [tex] r=5m[/tex] represent the radius, [tex] h = 10m[/tex] the height and the rate given is:

[tex] \frac{dV}{dt}= \frac{100 L}{min}[/tex]

For this case we want to find the rate of change of the water level when h =6m so then we can derivate the formula for the volume and we got:

[tex] \frac{dV}{dt}= \pi r^2 \frac{dh}{dt}[/tex]

And solving for [tex]\frac{dh}{dt}[/tex] we got:

[tex] \frac{dh}{dt}= \frac{\frac{dV}{dt}}{\pi r^2}[/tex]

We need to convert the rate given into m^3/min and we got:

[tex] Q = 100 \frac{L}{min} *\frac{1m^3}{1000L}= 0.1 \frac{m^3}{min}[/tex]

And replacing we got:

[tex] \frac{dh}{dt}=\frac{0.1 m^3/min}{\pi (5m)^2}= 0.0012732 \frac{m}{min}[/tex]

And that represent [tex] 0.127 \frac{cm}{min}[/tex]

Answer:

0.46 kg is your answer

Step-by-step explanation:

We know (by definition) that: 1 g = 0.001 kg.

We can set up a proportion to solve for the number of kilograms.

1 g / 460 g = 0.001 kg / x kg

Now, we cross multiply to solve for our unknown x:

x kg = (460 g / 1 g) * 0.001 kg → x kg = 0.46 kg

Conclusion:

460 g = 0.46 kg

Answer:

460g = 0.46 kg

Step-by-step explanation:

just divide 460/1000 since 1 kg = 1000 grams

Answer:

[tex]y = -9[/tex]

Step-by-step explanation:

The curve intersects the midline when effect of amplitude is annulled. The midline equation is of the form:

[tex]y = y_{o}[/tex]

The midline equation is:

[tex]y = -9[/tex]

Complete question is;

Type the correct answer in each box. Use numerals instead of words. Consider this quadratic equation. x² + 2x + 7 = 21 The number of positive solutions to this equation is . The approximate value of the greatest solution to the equation, rounded to the nearest hundredth, is

Answer:

The approximate value of the greatest solution to the equation, rounded to the nearest hundredth, is 2.87.

Step-by-step explanation:

We are given the quadratic equation as;

x² + 2x + 7 = 21

Subtract 21 from both sides to give ;

x² + 2x + 7 - 21 = 0

x² + 2x - 14 = 0

Using quadratic formula, we cam find the roots of the equation.

x = [-b ± √b² - 4ac]/2a

Plugging in the values;

x = [-2 ± √(2² - 4(1*-14))]/2(1)

x = [-2 ± √(4 + 56)]/2

x = [-2 ± √60]/2

x = - 4.87 or 2.87

Thus, this equation has only one positive solution which is the greatest.

Thus, greatest solution is 2.87

Answer:

B,D

Step-by-step explanation:

The true statements are given below.

The land the Pentagon become first planned to head on become bordered on 5 aspects through roads, so the architects designed a five-sided building.

A pentagon is a geometrical form, which has 5 facets and five angles. here, “Penta” denotes five, and “gon” denotes attitude. The pentagon is one of the forms of polygons. The sum of all the indoor angles for a normal pentagon is 540 ranges.

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Answer:

The rate at which the horizontal velocity of the ball changes every second is, 19%.

Step-by-step explanation:

The exponential decay function is given by:

[tex]y=a(1-r)^{t}[/tex]

Here,

y = final value

a = initial value

r = decay rate

t = time

The relationship between the elapsed time, t, in seconds, since Mustafa threw the ball, and its horizontal velocity, V (t) is:

[tex]V(t)=4\cdot (0.81)^{t}[/tex]

The expression for the horizontal velocity of the ball represents the exponential decay function.

On comparing the two equations we get:

[tex]1-r=0.81\\r=1-0.81\\r=0.19[/tex]

Thus, the rate at which the horizontal velocity of the ball changes every second is, 19%.

Answer:

12-2³ = 12 - 8 = 4

Hope this helps!

:)

Answer:

The volume of the cylinder is [tex]112\ \text{units}^3[/tex].

Step-by-step explanation:

We have,

Radius of the cylinder is 4 units

Height of the cylinder is 7 units

It is required to find the volume of the cylinder. The formula of the volume of the cylinder is given by :

[tex]V=\pi r^2 h[/tex]

Plugging all the values, we get :

[tex]V=\pi \times (4)^2\times 7\\\\V=112\ \text{units}^3[/tex]

So, the volume of the cylinder is [tex]112\ \text{units}^3[/tex]. The correct option is (b).

Answer:

about 2.666 times

Step-by-step explanation:

you know that 80 days have past and it only takes 30 days for the population to double. if you do 80/30 you get 2.666 meaning that the population would of been 2.666 times greater.

The population be than after 30 days about 2.666 times greater.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given; A population of insects can double in 30 days.

After 80 days, We need to find that how many times greater will the population be than after 30 days

We know that 80 days have past and it only takes 30 days for the population to double.

if we do 80/30 = 2.666 meaning that the population would of been 2.666 times greater.

Therefore, The population be than after 30 days about 2.666 times greater.

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Answer:

Odd.

Step-by-step explanation:

You don't need the point, its pretty much useless.

If its even, when you plug -x into the equation, it will stay the same

If its odd, when you plug -x into the equation, the signs will change

g(x) = [tex]x^{3}[/tex]    

Lets plug in -x.

g(x) = (-x)³

g(x) = -x³

The equation is different! That means the equation is odd!

Answer:

a) The null and alternative hypothesis are:

[tex]H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2\neq 0[/tex]

b) Yes.

Step-by-step explanation:

This is a hypothesis test for the difference between proportions.

The claim is that the proportion of all NYC residents that can name a player on the Knicks differs from the proportion of all Toronto residents who can name a player on the Raptors.

As the claim is that the proportions differs, the difference to reject the null hypothesis can be positive or negative. Then, this is a two-tailed test.

The null and alternative hypothesis are:

[tex]H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2\neq 0[/tex]

The conditions to met for this test are:

- The sampling method for each population is simple random sampling.

- The samples are independent.

- Each sample includes at least 10 successes and 10 failures.

[tex]\text{Failures (NY):} \, F=200*0.45=90\\\\\text{Failures (T):} \, F=120*0.3=36\\\\\text{Note: we use failures as they have the lower proportions.}[/tex]

- Each population is at least 20 times as big as its sample.

This conditions are met, so all criteria for the hypothesis test is satisfied.

Answer:

60

Step-by-step explanation:tanI=  

adjacent

opposite

​  

=  

3.8

6.7

​  

\tan I = \frac{6.7}{3.8}

tanI=  

3.8

6.7

​  

I=\tan^{-1}(\frac{6.7}{3.8})

I=tan  

−1

(  

3.8

6.7

​  

)

I=60.44\approx 60^{\circ}

I=60.44≈60  

∘

Answer:

This would be false

Step-by-step explanation:

Exponents can't be negative

Answer:

An exponential function can not be either 1, 0, or any negative number.

Answer: Circumference of cake board is 35π cm.

Step-by-step explanation:Since we have given that

Diameter of a round cake = 30 cm

Diameter of a cake board is 5 cm longer than the diameter of a round cake.

So, Diameter of a cake board = 30+5=35 cm

So, radius of a cake board will be

As we know the formula for " Circumference of Circle ":

So, According to question, we get,

Hence, Circumference of cake board is 35π cm.

Answer: 35π cm

Step-by-step explanation:

Answer:

Step-by-step explanation:

The amplitude is the multiplier of the sine function: 3.

The period is 2π divided by the coefficient of x: 2π/2 = π.

The equation of the axis is any added constant: y = 0.

The range is the axis value ± the amplitude value: from -3 to +3.

There are six space shuttles with 8 people inside. Meaning, for every space shuttle, there are 8 people so multiply that by six to get the overall people who visited your planet (48)

Answer:

Step-by-step explanation:

Assuming that's about a right triangle, the image attached shows a representation of this problem.

We use the Pythagorean Theorem to find the missing leg, which we are gonna call [tex]y[/tex]

[tex]29^{2} =18^{2}+y^{2}\\y^{2}=29^{2}-18^{2}\\y=\sqrt{841 - 324} \approx 22.7 \ cm[/tex]

Therefore, the leg MA measures 22.7 centimeters.

Answer:

As chi^2 < 7.815, and P > 0.05, we do not reject null hypothesis.

Thus, there is no significant evidence that the loan approval decision is not independent of the loan officer reviewing the loan application.

Step-by-step explanation:

Find the given attachment

Answer

160ft

Step-by-step explanation:

Let the width be x.

Then the length is (x+200)

The area of the field=57600

Area=length*width

x(x+200)=57600

x^2+200x-57600=0

x=-360 or x=160

The width and length of the football field are 160 feet and 360 feet respectively.

Suppose the width of the field = x

So, the length of the field =x+200

The area of a rectangle with length l and width b is lb.

So, the area of the football field =x(x+200)

Given that x(x+200)=57600

[tex]x^{2} +200x=57600[/tex]

[tex]x^{2} +200x-57600=0[/tex]

[tex]x=\frac{-200+\sqrt{200^2-4*1*(-57600)} }{2}[/tex]

x=160

So, the width of the field is 160 feet.

Hence, the width and length of the football field are 160 feet and 360 feet respectively.

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Answer:

10 servings

Step-by-step explanation:

try your best

Answer:

13.8 servings

Step-by-step explanation:

25 divided by 1.8

Answer:

A) ?

B) Rhombus

Step-by-step explanation:

For A count the squares inside the shape.  I am sorry I had to answer this quickly and did not have time time to count them, but that should be fairly straight forward.

B is Rhombus.

Answer:

P = 12

The height = 6

Base = 4

24*0.5 = 12

B = rhombus

Answer:

Step-by-step explanation:

Answer:

the domain is "the set of all real numbers."

the range of the given function is (5, infinity)

Step-by-step explanation:

This is an exponential function.  For the sake of clarity you must enclose "x - 2" inside parentheses:  f(x) = 2(3)^(x-2).  This function is defined for all real x-values, so the domain is "the set of all real numbers."  

Focusing on  (3)^x:  This has the same shape as the basic exponential y = e^x; the graph starts in Quadrant II and increases with x, more and more rapidly as you pass x = 0.  The functions y = e^x and that of y = 3^x are always positive.  Likewise in the case of f(x) = 2(3)^(x-2):  the function is always positive.  If we look at f(x) = 2(3)^(x-2) alone, we conclude that the domain is (0, infinity).  But that " + 5 " in y=2(3)^(x-2) + 5 translates the entire graph of f(x) = 2(3)^(x-2) upward by 5 units.

Thus, the range of the given function is (5, infinity).

Answer:

  the selected list is correct

Step-by-step explanation:

Negative numbers with larger magnitudes are smaller in value, so -2 is less than -1.5.

A fraction is smaller in value if it has a smaller numerator and the same denominator. It is also smaller in value if it has the same numerator and a larger denominator.

2/5 is smaller than 3/4 because it has both a smaller numerator and a larger denominator. So the ordering of the positive numbers is 2/5, 3/4.

The ordering you want is the one checked.

Answer:

Check the explanation

Step-by-step explanation:

a. there are two categorical variables here:

region with two level : China and US

and cooperation with two level : Defect and cooperate.

b. Chi-square test for association can be used here since the variables are categorical in nature.

Chi-Square Test for Association: C6, Worksheet columns

Rows: C6 Columns: Worksheet columns

defect cooperate All

China 31 36 67

39.54 27.46

US 41 14 55

32.46 22.54

All 72 50 122

Cell Contents: Count

Expected count

Pearson Chi-Square = 9.985, DF = 1, P-Value = 0.002

Likelihood Ratio Chi-Square = 10.231, DF = 1, P-Value = 0.001

Answer:

hi there

0

Step-by-step explanation

9+[(-8)÷4]+[5(-2)]-(-3)

9+[-2]+-10+3

7+-7

0

Answer:

-57

hope this helped correct me if i'm wrong

Answer:

20/9 mile

Step-by-step explanation:

idk pretty self-explanatory

Answer:

(a) The probability distribution of the random variable X is Binomial.

(b) The mean and standard deviation of the 25-question test are 5 and 2 respectively.

(c) The value of x is 0.34.

Step-by-step explanation:

The random variable X is defined as the number of correct answers given by a person who is guessing each answer on a 25-question exam.

There are five possible answer for every question.

This implies that the probability of getting a correct answer is:

P (X) = 0.20.

There are a total of n = 25 questions.

Every answer is independent of the others.

(a)

The random variable X has  finite number of independent trials (i.e. 25 questions). There are only two outcomes for each trial, i.e. Success = correct answer and Failure = wrong answer. Each trial has the same probability of success (, i.e. P (X) = 0.25).

Thus, the probability distribution of the random variable X is Binomial with parameters n = 25 and p = 0.20.

(b)

Compute the mean of the random variable X as follows:

[tex]E(X)=np\\=25\times 0.20\\=5[/tex]

Compute the standard deviation of the random variable X as follows:

[tex]SD(X)=\sqrt{np(1-p)}\\=\sqrt{25\times 0.20\times (1-0.20)}\\=2[/tex]

Thus, the mean and standard deviation of the 25-question test are 5 and 2 respectively.

(c)

The sample is large and the probability of success is close to 0.50.

So a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:

1. np ≥ 5

2. n(1 - p) ≥ 5

Check the conditions as follows:

[tex]np=25\times 0.20=5=5\\\\n(1-p)=25\times (1-0.20)=20>5[/tex]

Thus, a Normal approximation to binomial can be applied.

So,  [tex]X\sim N(5, 2^{2})[/tex]

It is provided that the minimum passing score foe the test is such that only 1% of students who are guessing will pass the test.

That is P (X < x) = 0.01.

⇒ P (Z < z) = 0.01

The value of z is -2.33.

Compute the value of x as follows:

[tex]z=\frac{x-\mu}{\sigma}\\\\-2.33=\frac{x-5}{2}\\\\x=5-(2.33\times 2)\\\\x=0.34[/tex]

Thus, the value of x is 0.34.