Keenan measured a community college and made a scale drawing. The scale of the drawing
was 1 centimeter : 9 meters. If the actual width of a building at the college is 90 meters, how
wide is the building in the drawing?

Step-by-step explanation:

Are of a circle is πr^2

to find the radius r=d/2

=12/2=6r

3.14x6x6

=169.56 cm^2

please mark as brainliest

Answer:

She will need 10 full tablets and two thirds of a tablet

Step-by-step explanation:

First we will find how many tablets ana needs for one day:

In each day ana needs 40x2 mg of medicine, they come in tablets of 15 mg. In one day, she needs 80 / 15 =  5 and 1/3 of a tablet.

In two days, she needs double that amount. (5 and 1/3) x 2 = 10 and 2/3

Ana need to take 10 and 2/3 tablets for 2 days.

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

It is given that,

Ana need 40 mg tablet twice a day.

So, Total mg taken in a day = 40*2 mg = 80 mg

Since each tablet contains 15 mg

So, Total tablets taken in a day = Total mg taken / 15

⇒ Total tablets taken in a day = 80 / 15

⇒ Total tablets taken in a day = 5 and 1/3 tablets

Therefore Tablets needed in 2 days = 2*Total tablets taken in a day

⇒ Tablets needed in 2 days = 2*16/3

or, Tablets needed in 2 days = 32/3

or, Tablets needed in 2 days = 10 and 2/3 tablets

Thus,Ana need to take 10 and 2/3 tablets for 2 days.

To learn more about tablets:

https://brainly.com/question/15530165

#SPJ2

Answer:

For question A city A is 3 + 2.5 + 4 + 4.5 + 3 + 1 = 18 divided by 6 = 3

For question A city B is 6 + 4 + 1.5 + 3.5 + 2 + 4 = 21 divided by 6 = 3.5

Step-by-step explanation:

To find the mean is simple Step 1: You first add all of the numbers together Step 2: then you divide the answer from adding all of the numbers and divide by how many numbers there are in this case there are 6 in each one that is how you find the mean I hope I help you with this problem (can you please give brainlyest) thank you!

In the basis step of the mathematical induction proof for P(n), we show that the equation is true for n = 1. The equation of the inductive hypothesis (IH) is P(k), where k is an arbitrary natural number. In the inductive step, we need to show that if P(k) is true, then P(k+1) is also true.

In the basis step, we substitute n = 1 into the equation 11⋅2+12⋅3+⋅⋅⋅+1n⋅(n+1)=nn+1. This gives us the equation 1⋅2 = 1+1, which is true.

The inductive hypothesis (IH) is denoted as P(k), where k is an arbitrary natural number. We assume that P(k) is true, meaning that 11⋅2+12⋅3+⋅⋅⋅+1k⋅(k+1)=kk+1 holds.

In the inductive step, we need to show that if P(k) is true, then P(k+1) is also true. This involves substituting n = k+1 into the equation 11⋅2+12⋅3+⋅⋅⋅+1n⋅(n+1)=nn+1 and demonstrating that the equation holds for this value. The specific equation we need to show in the inductive step is 11⋅2+12⋅3+⋅⋅⋅+1(k+1)⋅((k+1)+1)=(k+1)(k+1+1).

Learn more about inductive hypothesis here: brainly.com/question/31703254

#SPJ11

In the basis step, we need to show that the equation P(1) is true. The equation of the inductive hypothesis (IH) is P(k), where k is any natural number greater than or equal to 1. In the inductive step, we need to show that if P(k) is true, then P(k+1) is also true.

To prove the equation P(n): 11⋅2 + 12⋅3 + ... + 1n⋅(n+1) = n(n+1) using mathematical induction, we follow the two-step process.

1. Basis Step:

We start by showing that the equation is true for the base case, which is n = 1:

P(1): 11⋅2 = 1(1+1)

Simplifying, we get: 2 = 2, which is true.

2. Inductive Step:

Assuming that the equation is true for some arbitrary value k, the inductive hypothesis (IH) is:

P(k): 11⋅2 + 12⋅3 + ... + 1k⋅(k+1) = k(k+1)

In the inductive step, we need to show that if P(k) is true, then P(k+1) is also true:

P(k+1): 11⋅2 + 12⋅3 + ... + 1k⋅(k+1) + 1(k+1)⋅((k+1)+1) = (k+1)((k+1)+1)

By adding the (k+1)th term to the sum on the left side and simplifying the right side, we can demonstrate that P(k+1) is true.

Learn more about equation here: brainly.com/question/30130739

#SPJ11

Answer:

Displacement is the shortest distance between two points. It can be found by joining two points by a straight line.

Step-by-step explanation:

The maximum tracking error is for Observation #7

The Tracking errors are as below: [see in attachemet 1]

The calculations are shown using the below formulas:  [see in attachemet 2]

The maximum tracking error is for Observation #7 , which is 1.9

Tracking error rates for classic active managers typically range from 4% to 7%. Tracking mistakes of 10% to 15% are possible for active managers who are ready to place larger bets away from an index. The tracking errors of absolute return, benchmark-free methods may be substantially larger.

A measurement of how closely a fund follows its benchmark throughout an investing term is called tracking error. It is a volatility indicator. While a significant tracking error suggests the opposite, a modest tracking error suggests that the passive fund will often follow its benchmark quite closely throughout.

To learn more about Tracking errors  visit:https://brainly.com/question/29485270

#SPJ4

Answer:

C. 2.5

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Since the shapes are similar this means they are equal.

If the ratio is 2:1 that would mean divide each number by 2.

6/2 reduced equals 3/1 = 3

The number of penguins in the water as; 7 penguins. The total number of penguins as; 21 penguins

Since solving real-life cases with the use of arithmetic operations.

Let we are given: There are 14 penguins on the ice.

Half, as many are swimming, implies that: 7 of them are swimming

Thus, the number of penguins in water = 7 penguins

The total number of penguins overall = penguins in water + penguins on the ice

The total number of penguins overall = 7 + 14

The total number of penguins overall = 21 penguins

Learn more about word problems here:

brainly.com/question/25693822

#SPJ1

Answer: .416666667

Step-by-step explanation: Take 80 and divide it by 192.0= .416666667

Answer:

See below ~

Step-by-step explanation:

Answer:

b = 25 a=40

Step-by-step explanation:

if U look closely U can see that 2 alternate angles are shown (I've highlighted them in pink and yellow) when u have an alternate angle it makes a z shape the angles in that z shape are always equal

Answer:

10¬R

Step-by-step explanation:

PS = log10 R

exponential form for the inverse of the function will be,

10¬R

where ¬ stands for raise to the power of

Answer:

216$

Step-by-step explanation:

Answer:

41.2%

Step-by-step explanation:

\(Percentage\ change = (\frac{Final\ Price\ - Initial\ Price}{Final\ Price})100\\\\Percentage\ change=(\frac{238-140}{238})100\\\\Percentage\ change=(\frac{98}{238})100\\\\Percentage\ change=(0.412)100\\Percentage\ change=41.2\\\)

So the percentage increase was 41.2%

The twins are 6 years old, and the oldest sister is 13 years old (since they were born seven years after their older sister).

7.3% of women under the age of 35. 6.9% of females aged 35 to 37. 6.8% of women aged 38 to 40 were female. 5.1% of females aged 41 to 42.

Starting out, let's assign some variables.

Let x represent the sister's older sister's age in years.

The twins' age is then x – 7. (since they were born seven years after their older sister).

We are told that the product of the three siblings' ages is 2693 more than the sum of their ages. This can be expressed algebraically as:

x(x - 7)(x - 7) = x + (x - 7) + (x - 7) + 2693

Simplifying this equation gives:

x³ - 21x² + 98x - 2693 = 0

We can see that x = 13 is a root of the equation, since:

13³ - 21(13)² + 98(13) - 2693 = 0

This means that (x - 13) is a factor of the equation.

We can use polynomial division or synthetic division to divide the equation by (x - 13) and obtain a quadratic equation:

x² - 8x + 207 = 0

The solutions of this quadratic equation are:

x = (8 ± sqrt(8² - 4(1)(207))) / 2 = 4 ± sqrt(241)

Since x represents the age of the older sister, which must be a positive integer, the only valid solution is:

x = 13

To know more about twins visit:-

https://brainly.com/question/1807620

#SPJ1

The  value of x in the interval (3 < x < 6) for which the rate of change of the cost is zero.

(a) To verify that C(3) < C(6), we have to find the values of C(3) and C(6).The given function is C(x) = s(x x+3)The order size is measured in hundreds. So, when x = 3, the order size is 300 and when x = 6, the order size is 600.Therefore, C(3) = s(3 x 3+3) = s(18) and C(6) = s(6 x 6+3) = s(39)Now, as s(x) > 0, we can see that C(6) > C(3). Hence, C(3) < C(6).(b) According to Rolle's Theorem, the rate of change of the cost must be 0 for some order size in the interval (3 < x < 6).We know that the function is continuous and differentiable in the interval (3 < x < 6). Now, the rate of change of the cost is given by the derivative of the function C(x) with respect to x.C(x) = s(x x+3)C'(x) = s[1 + (x + 3) . 1] = s(1 + x + 3) = s(x + 4)As per Rolle's Theorem, there must exist a value of x in the interval (3 < x < 6) such that C'(x) = 0.So, s(x + 4) = 0x + 4 = 0x = -4Thus, the order size is -4 x 100 = -400. However, this is an absurd answer as the order size cannot be negative. Therefore, there is no value of x in the interval (3 < x < 6) for which the rate of change of the cost is zero.

Learn more about Interval

brainly.com/question/4184136

#SPJ11

The numerator of the z-score test statistic measures the difference between the sample mean and the population mean (or the hypothesized population mean, depending on the context) in terms of the standard error of the mean.

It can use z- test only if the population standard deviation is known (or given) and the sample is large (more than 30 units)

If the mean and standard deviation is known, then the z-score is calculated using the formula.

z = (x - μ) / σ

where x is data;

μ is the mean and σ is the standard deviation.

Thus, the actual distance between a sample mean x and a population mean µ is measured by the numerator of z- score test statistic.

To know more about hypothesis here

https://brainly.com/question/29996729

#SPJ4

Answer:

73 nickels, 27 dimes

Step-by-step explanation:

x+y=100

5x+10y=635

x=100-y

5(100-y)+10y=635

500-5y+10y=635

500+5y=635

5y=135

y=27

5x+10(27)=635

5x+270=635

5x=365

73

73+27=100

Answer:

the answer is not listed it is 1539.38

Step-by-step explanation:

did you have a typo in the question

Answer:

a

Step-by-step explanation:

Don't even need to complete the square, just look at what two numbers when foiling gives -16x. (x-8) (x-8)= -8x-8x= -16x. full equation is x^2-16x+64 but question didnt ask 4 that, wish it did.

Answer:

when x=10 & y=6

10-6=4 so,

x=8

y=4

L((7,8)) = (-9,23).  To find the value of L((7,8)), we can use the linearity property of the linear operator L.

Since L is a linear operator, we can express any vector in R² as a linear combination of the basis vectors (1,0) and (0,1).

We have L((1,2)) = (-2,3) and L((1,-1)) = (5,2). Therefore, we can express (7,8) as (7,8) = 7(1,2) + 1(1,-1).

Using the linearity property, we can distribute the linear operator L over the linear combination:

L((7,8)) = L(7(1,2) + 1(1,-1))

= 7L((1,2)) + L((1,-1))

= 7(-2,3) + (5,2)

= (-14,21) + (5,2)

= (-9,23)

Know more about linearity property here:

https://brainly.com/question/28709894

#SPJ11

With regards to the probabilities of getting each color in the game played by Larry and Jessica, the correct answer is B. No, the probabilities are NOT equally likely.

In the game being played by Larry and Jessica, the colors that can be picked by either person include:

The probability of picking blue is:

= Number of blue sections / Total sections

= 3 / 8

The probability of picking red is :

= 3 / 8

The probability of picking green is:

= 2 / 8

= 1 / 4

The probabilities are therefore not equally likely.

Find out more on probabilities at https://brainly.com/question/28109373

#SPJ1

Answer:

the first one

Step-by-step explanation:

this picture has the workings

Answer:

1 Kobocoin = 2.344999 Nigerian Naira (NGN)

Step-by-step explanation:

There is a significant linear association between Math SAT score and college GPA at the 0.05 level of significance.

To test whether there is a significant linear association between Math SAT score and college GPA, we can conduct a hypothesis test on the population correlation coefficient ρ using a t-test.

The null and alternative hypotheses are:

H₀: ρ = 0 (there is no significant linear association between Math SAT score and college GPA)

Hₐ: ρ ≠ 0 (there is a significant linear association between Math SAT score and college GPA)

To perform the test, we first need to calculate the t-test statistic:

t = r ₓ \(\frac{\sqrt{n-2} }{1-r^{2} }\)

where r is the sample correlation coefficient and n is the sample size.

Plugging in the values, we get:

t = 0.289 ₓ \(\sqrt{41-2}\) / sqrt(\(\sqrt{1 - 0.289^2}\)) = 2.048

The degrees of freedom for this test is df = n - 2 = 41 - 2 = 39.

Using a significance level of α = 0.05 and a two-tailed test, the critical values for t are ±2.021. Since our calculated t-value of 2.048 falls outside this range, we reject the null hypothesis.

The p-value for this test can be calculated using a t-distribution table or a calculator. With df = 39 and t = 2.048, the two-tailed p-value is approximately 0.047. Since this p-value is less than α = 0.05, we can reject the null hypothesis at the 0.05 level of significance.

Therefore, we conclude that there is a significant linear association between Math SAT score and college GPA in the population. The final statement is that "there is sufficient evidence to reject the null hypothesis and conclude that there is a significant linear association between Math SAT score and college GPA at the 0.05 level of significance."

Learn more about linear association here:

https://brainly.com/question/29299187

#SPJ11

Answer:

C.) y=-3/2x+3

Step-by-step explanation:

The y-intercept (where the line crosses y) is 3 = +3

The line goes down 3 and right 2 = -3 / 2

y = -3/2 + 3

A unit rate is the amount of a quantity at the rate of one.

The number of hours per week to earn approximately 190 is

22 hours 45 minutes

A unit rate is the amount of a quantity at the rate of one.

It is written as a ratio with a denominator of one. 

Example:

If 3 miles in 3 minutes then 1 mile in 1 minute.

We have,

The amount earned per hour = 8.35

This can be written as:

1 hour = 8.35

Multiply 190/8.35 on both sides.

190/8.35 x 1 hour = 190/8.35 x 8.35

22.75 hours = 190 ____(1)

1 hour = 60 minutes

0.75 hour = 45 minutes

From (1) we get,

22 hours 45 minutes = 190

Thus,

The number of hours per week to earn approximately 190 is

22 hours 45 minutes.

Learn more about unit rates here:

https://brainly.com/question/28394073

#SPJ1

Answer:

Step-by-step explanation:

Let the number of hours Annie travelled be a, and same of Brian be b

Then we have

Substituting a in the first equation

Then finding a

So the answer is: