Suppose that an outbreak of cholera follows severe flooding in an isolated town of 3662 people. Initially (Day 0), 36 people are infected. Every day after, 34% of those still healthy fall ill.


How many people will be infected by the end of day 9?

Answers

Answer 1

Answer:

3576 infected people

Step-by-step explanation:

We have to apply the following formula, which tells us the number of healthy people:

A = p * (1 - r / 100) ^ t

where,

p = initial population,

r = rate of change per period (days)

t = number of periods (days)

Now, we know that the initial population is 3,662 but there are already a total of 36 infected, therefore:

3662 - 36 = 3626

that would be our p, now, we replace:

A = 3626 * (1 - 34/100) ^ 9

A = 86.16

Therefore, those infected would be:

3662 - 86.16 = 3575.84

This means that there are a total of 3576 infected people.


Related Questions

Please help me understand this!!

Answers

Step-by-step explanation:

3 + 15 + 75 + 375 + 1,875

This is a geometric series.  The first term is 3, the common ratio is 5, and the number of terms is 5.

∑₁⁵ 3 (5)ⁿ⁻¹

∑₀⁴ 3 (5)ⁿ

3 + 12 + 48 + 192 + 768

This is a geometric series.  The first term is 3, the common ratio is 4, and the number of terms is 5.

∑₁⁵ 3 (4)ⁿ⁻¹

∑₀⁴ 3 (4)ⁿ

4 + 32 + 256 + 2048 + 16,384

This is a geometric series.  The first term is 4, the common ratio is 8, and the number of terms is 5.

∑₁⁵ 4 (8)ⁿ⁻¹

∑₀⁴ 4 (8)ⁿ

2 + 6 + 18 + 54 + 162

This is a geometric series.  The first term is 2, the common ratio is 3, and the number of terms is 5.

∑₁⁵ 2 (3)ⁿ⁻¹

∑₀⁴ 2 (3)ⁿ

Hypertension is when an adult is classified as having high blood pressure (above 130 systolic blood pressure is considered hypertension). Researchers want to know the proportion of adult North Americans (above age of 18) that have hypertension. Based on a study of 3532 adult North Americans, 1219 of them were classified as having hypertension.
a. Researchers want to test if more than a quarter of all North American adults have hypertension (that is to say more than 25% proportion of North American adults). State the null and alternative hypothesis in proper notation.
b. Create a 95% confidence interval for the true proportion of adult North Americans that have hypertension. Interpret this interval in context of the study.c. Say your 95% confidence interval is (0.329 , 0.361). Can you say with a high degree of confidence that more than a quarter of all North Americans have hypertension. Explain in a sentence or two.
d. If we were to decrease our level of confidence, what would we expect to happen to the confidence interval? Get wider/ get narrower/ stay the same ?

Answers

Answer:

Step-by-step explanation:

a) We would set up the hypothesis test.

For the null hypothesis,

H0 : p ≥ 0.25

For the alternative hypothesis,

H1 : p < 0.25

b) from the given information,the sample proportion or point estimate for the population proportion is

1219/3532 = 0.35

Confidence interval = sample proportion ± margin of error

Margin of error = z × √pq/n

p = 0.35

q = 1 - 0.35 = 0.65

z score for 95% confidence level is 1.96

Margin of error = 1.96 × √(0.35 × 0.65)/3532 = 0.016

Confidence interval = 0.35 ± 0.016

c) Given that the 95% confidence interval is (0.329 , 0.361), it means that the lower limit of the confidence interval is 0.329 and the upper limit is 0.361

If more than a quarter of all North Americans have hypertension. It means that the true proportion can be within this interval. 95% confidence interval is a high degree of confidence. Therefore, we can say that with a high degree of confidence that more than a quarter of all North Americans have hypertension.

d) it would get narrower

Parker invested $7,800 in an account
paying an interest rate of 1.7%
compounded continuously. Assuming no
deposits or withdrawals are made, how
much money, to the nearest dollar, would
be in the account after 11 years?

Answers

Answer:

A=9404

Step-by-step explanation:

Answer:

9404

Step-by-step explanation:

I need to know if the graph makes sense based on how Naoya shoots, everything is in the photo.

Answers

Answer:

Not correct

Step-by-step explanation:

Sample 8 has one free throw, sample 9 has 3 free throw success,

sample 10 has 3 free throw success

sample 11 has 5 free throw success

sample 12 has 5 free throw success

sample 13 has 2 free throw success

sample 14 has 1 free throw success;

See one sample should contain 15 free throw and the probability of success should be 0.7

Let's look at sample 8

Total no of success is 1

Total no of free throws 15

Probability is 1/15 = 1/15 * 100 =6.67%

Similarly you can do so for the others.

The ACT is an achievement test given nationally with normally distributed scores. Tim

scored a 24 on the mathematics portion of his ACT. The mean for the mathematics portion of

the ACT was 22.0 and the standard deviation was 5.1. What percent of the population scored

higher than Tim on the mathematics portion of the ACT?

Answers

Answer:

34.83% of the population scored higher than Tim on the mathematics portion of the ACT

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 22, \sigma = 5.1[/tex]

Tim scored 24. What percent of the population scored higher than Tim on the mathematics portion of the ACT?

The proportion is 1 subtracted by the pvalue of Z when X = 24. The percentage is the proportion multiplied by 100.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{24 - 22}{5.1}[/tex]

[tex]Z = 0.39[/tex]

[tex]Z = 0.39[/tex] has a pvalue of 0.6517

1 - 0.6517 = 0.3483

34.83% of the population scored higher than Tim on the mathematics portion of the ACT

Use the fundamental theorem of calculus to find the area of the region between the graph of the function x^5 + 8x^4 + 2x^2 + 5x + 15 and the x-axis on the interval [-6,6]. Round off your answer to the nearest integer.

A) 25,351 units^2
B) 149,473 units^2
C) 3,758 units^2
D) 2,362 units^2

Answers

Answer:

The area of the region is 25,351 [tex]units^2[/tex].

Step-by-step explanation:

The Fundamental Theorem of Calculus: if [tex]f[/tex] is a continuous function on [tex][a,b][/tex], then

                                   [tex]\int_{a}^{b} f(x)dx = F(b) - F(a) = F(x) | {_a^b}[/tex]

where [tex]F[/tex] is an antiderivative of [tex]f[/tex].

A function [tex]F[/tex] is an antiderivative of the function [tex]f[/tex] if

                                                    [tex]F^{'}(x)=f(x)[/tex]

The theorem relates differential and integral calculus, and tells us how we can find the area under a curve using antidifferentiation.

To find the area of the region between the graph of the function [tex]x^5 + 8x^4 + 2x^2 + 5x + 15[/tex] and the x-axis on the interval [-6, 6] you must:

Apply the Fundamental Theorem of Calculus

[tex]\int _{-6}^6(x^5+8x^4+2x^2+5x+15)dx[/tex]

[tex]\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx\\\\\int _{-6}^6x^5dx+\int _{-6}^68x^4dx+\int _{-6}^62x^2dx+\int _{-6}^65xdx+\int _{-6}^615dx[/tex]

[tex]\int _{-6}^6x^5dx=0\\\\\int _{-6}^68x^4dx=\frac{124416}{5}\\\\\int _{-6}^62x^2dx=288\\\\\int _{-6}^65xdx=0\\\\\int _{-6}^615dx=180\\\\0+\frac{124416}{5}+288+0+18\\\\\frac{126756}{5}\approx 25351.2[/tex]

3. Candace drew quadrilateral ABCD with vertices A(3, 3), B(5, 3), C(7, 1), and D(1, 1). Miguel wants to dilate Candace's quadrilateral by a scale factor of 5/5. Which statement is true? *

A-Quadrilateral ABCD is smaller than quadrilateral A'B'C'D'.

B-The algebraic expression of the dilation is (x, y) -> (5x, 5y).

C-The coordinates of quadrilateral A'B'C'D' will be A'(15, 15), B'(9, 15), C'(5, 35), D'(5, 5).

D-Quadrilateral A'B'C'D' will be congruent to quadrilateral ABCD.

Answers

Answer:

D-Quadrilateral A'B'C'D' will be congruent to quadrilateral ABCD.

Step-by-step explanation:

The scale factor is equal to 1. Hence, the quadrilateral A'B'C'D' will be identical to quadrilateral ABCD, whose vertices are the same.

The algebraic expression of the dilation is:

[tex](x',y') = (x,y)[/tex]

Besides, the coordinates of the new quadrilateral are A'(3, 3), B'(5, 3), C'(7, 1), and D'(1, 1)

And quadrilateral A'B'C'D' will be congruent to quadrilateral ABCD.

Therefore, the right answer is D.

Answer: D-Quadrilateral A'B'C'D' will be congruent to quadrilateral ABCD.

Step-by-step explanation: just did a test with this question and got it right. Hope this helped! thx for the points :D

Daniel is packing his bags for his vacation. He has

5

55 unique socks, but only

4

44 fit in his bag

Answers

Answer:

yes

Step-by-step explanation:

una persona cobra 7/4 de una cantidad, gasta 1/4 y presta 1/8 ¿Que fraccion de la cantidad cobrada le quedo?

Answers

Answer: (11/8)

Step-by-step explanation:

I will answer this in English.

a person collects 7/4 of an amount, spends 1/4 and lends 1/8. What fraction of the amount collected is left?

If the amount is A, then he collects:

C = (7/4)*A

Now, he spends 1/4 and lends 1/8 of the amount A, so the fraction left is:

Left = (7/4)*A - (1/4)*A - (1/8)*A

now i will write 7/4 as 14/8 and 1/4 as 2/8.

left = (14/8)*A - (2/8)*A - (1/8)*A  = ((14 - 2 - 1)/8)*A = (11/8)*A

Mr. Corbin measures the lengths of three branches. The first branch
is 2/3 foot long. The second branch is 2/2 foot long. The third branch is 2/8
foot long. Which list orders the fractions from greatest to least? *

Answers

Answer:

2nd branch > 1st branch > 3rd branch

or

[tex]\dfrac{2}{2} > \dfrac{2}{3} > \dfrac{2}{8}[/tex]

Step-by-step explanation:

Length of First branch = [tex]\frac{2}{3}[/tex] foot

Length of second branch = [tex]\frac{2}{2}[/tex] foot

Length of third branch = [tex]\frac{2}{8}[/tex] foot

Let us convert the fractions in decimal forms:

[tex]1.\ \dfrac{2}{3} = 0.67[/tex]

[tex]2. \dfrac{2}{2} = 1[/tex]

[tex]3.\ \dfrac{2}{8} = \dfrac{1}{4}=0.25[/tex]

It can be clearly seen that 1 is the largest value among the three values.

So, 2nd branch is the largest.

Now, let us have a look at the values of first and third branches:

0.67 and 0.25.

Clearly, 0.67 is greater than 0.25.

So, the correct order is:

2nd branch > 1st branch > 3rd branch

OR

We can use other method to see it.

Here, all the 3 fractions have same numerator.

So, denominator can help us decide the which fraction has a large value.

If numerator is same, the larger denominator will have smaller fractions.

The denominators are 2, 3 and 8.

8 > 3 > 2

So, the answer is

2nd branch > 1st branch > 3rd branch

or

[tex]\dfrac{2}{2} > \dfrac{2}{3} > \dfrac{2}{8}[/tex]

Find the point based on the parametric
equations. t = 3
X = 1 - 2t
y = 4t + 1​

Answers

Answer:

(-5,13)

Step-by-step explanation:

because t=3

[tex]x = 1 - 2 \times 3 = - 5 \\ y = 4 \times 3 + 1 = 13[/tex]

What’s the correct answer for this?

Answers

Answer:

2.5 ft

Step-by-step explanation:

As radius is perpendicular to tangent ,

LT [tex]\perp[/tex]KT

By pythagoras theorem:

LT² = LK² - KT²

LT² = (6.5)² - 6²

LT² = 42.25 - 36

LT² = 6.25

LT = 2.5 ft

LT = radius = 2.5 ft

Carole ordered 4 dresses for $80 each, a $25 sweater, and a coat. The cost of the items without sales tax was $430. What was the cost of the coat?

Answers

Explanation:

The equation for the total cost of the clothes is 4×80+25+c=430, where c is the cost of the coat.

320 + 25 + c = 430

         345 + c = 430

345 - 345 + c = 430 - 345

c = 85

The cost of the coat was $85.

Answer:

$85 for the coat

Step-by-step explanation:

1 dress = $80

4 dress =$80×4

=$320

sweater=$25

coat=?

4 dresses plus the sweater cost :

$320+$25=$345

The cost of all the item $430

cost of the coat :

$430-$345=$85

How would you simplify a negative square root?

Provide a detailed explanation, with an example, to receive full credit.

Answers

Answer:

To simplify

√(-x) = √((x)(-1)) = √((x)(i^2))

√(-x) = √(i^2) × √x = i√x

For example;

Simplify √-9

√-9 = √(-1×9) = √-1 × √9

√-9 = √(i^2) × √9 = i × 3

√-9 = 3i

Step-by-step explanation:

Given a negative square root √(-x);

From our knowledge of complex numbers, we know that

i^2 = -1 and vise versa

To simplify

√(-x) = √((x)(-1)) = √((x)(i^2))

√(-x) = √(i^2) × √x = i√x

For example;

Simplify √-9

√-9 = √(-1×9) = √-1 × √9

√-9 = √(i^2) × √9 = i × 3

√-9 = 3i

Step-by-step explanation:

The square root of a number A, is a number B such that, when it is multiplied by itself, the result is A.

If A × A = B

Then √B = A.

Now the multiplication of two numbers gives a positive number if both numbers are positive, or both numbers are negative.

2 × 2 = -2 × -2 = 4

3 × 3 = -3 × - 3 = 9

And so on.

So, the square root of 4 = 2 or -2

The square root of 9 = 3 or -3

But if one of the numbers is positive while the other is negative, then the result is negative.

2 × -2 = -4

3 × -3 = -9

Clearly, √(-4) ≠ 2 ≠ -2

√(-9) ≠ 3 ≠ -3

It is impossible to find the square root of negative numbers on the real line. This gives rise to the introduction of Complex Number.

Let i² = -1, then we have that

√(-1) = i.

This is the idea of Complex number, and it helps solve the problem of the negative square roots, and every negative number can be written as the multiplication of -1 and the inverse of the number.

-A = -1 × A

So, √(-A) = √(-1 × A)

= √(-1) × √A

= i × √A

= i√A

Example, to simplify √(-16)

√(-16) = √(-1 × 16)

= √(-1) × √16

= i × ±4

= ±4i

As part of his dissertation, Joe wanted to know if math anxiety differs between males and females. He developed a new measure to assess math anxiety with a scale of 0 – 100, a higher number indicating more anxiety. He went to a large university and asked several sections of an introductory math class to participate.What is the dependent variable?

Answers

Answer:

Maths anxiety

Step-by-step explanation:

In a typical research study, there are basically 2 types of variables involved, which are the dependent and the independent variable.

The dependent variable is affected by other factors or the independent variable involved in the study. The dependent variable would change is the independent variable is manipulated, changed or varied.

The dependent variable in Joe's dissertation is MATHS ANXIETY, which is dependent on the gender of students. Gender is the independent variable as he wants to find out if there's any difference in maths anxiety between males and females.

The dependent variable is Math Anxiety which is dependent on gender of the students.


Given: 1; -5; -13 ; -23 ; ...

Derive a formula for the nth term in the pattern.

Answers

Answer:

  f(n) = -n^2 -3n +5

Step-by-step explanation:

Suppose the formula is ...

  f(n) = an^2 +bn +c

Then we have ...

  f(1) = 1 = a(1^2) +b(1) +c

  f(2) = -5 = a(2^2) +b(2) +c

  f(3) = -13 = a(3^2) +b(3) +c

__

Here's a way to solve these equations.

Subtract the first equation from the second:

  -6 = 3a +b . . . . . 4th equation

Subtract the second equation from the third:

  -8 = 5a +b . . . . . 5th equation

Subtract the fourth equation from the fifth:

  -2 = 2a

  a = -1

Then substituting into the 4th equation to find b, we have ...

  -6 = 3(-1) +b

  -3 = b

and ...

  1 = -1 +(-3) +c . . . . . substituting "a" and "b" into the first equation

  5 = c

The formula is ...

  f(n) = -n^2 -3n +5

1. Michel buys a leash for his dog. The leash is 6 ft 3 inches. How long, in inches, is the leash?(1 ft = 12 inches)
A) 48 inches
B) 51 inches
C) 72 inches
D) 75 inches

2. What is the area of a triangular garden with base of 6 ft and a height of 9 ft? (A = 1/2BH)

A) 27 square feet
B) 48 square feet
C) 54 square feet
D) 24 square feet

Answers

Answer:

1 = D 75 inches

2 = A 27

Step-by-step explanation:

1 - 6.3 times 12 = 75.6

2 - 6 times 9 = 54

54/2 = 27

:)

PLEASE HELP ME PLEASE LOOK AT THE PICTURE I NEED AN ANSWER ASAP​

Answers

Answer:

1st one is 2. 2nd one is 5. 3rd one is less than. 4th one is, is smaller

Step-by-step explanation:

lee and maya are collecting leaves for an art project. lee collects 24-100 of the total leaves needed. maya collects 4-10 of the total leaves needed. What fraction of the total number leaves did they collect altogether

Answers

Answer:

1/8 but idk im not good with math

Step-by-step explanation:

Answer:

16-25

Step-by-step explanation:

Step  1  :

           2

Simplify   —

           5

Equation at the end of step  1  :

  24    2

 ——— +  —

 100    5

Step  2  :

            6

Simplify   ——

           25

Equation at the end of step  2  :

  6    2

 —— +  —

 25    5

Find the product. (3x 2 - 5x + 3)(3x - 2)

Answers

Answer:

9x^3-21x^2+19x-6

Step-by-step explanation:

First you have to distribute the first equation into the second since the two are being multiplied:

(3x^2-5x+3)(3x-2)

9x^3-6x^2-15^2+10x+9x-6

(simplify)

9x^3-21x^2+19x-6

9x^3-21x^2+19x-6

First you have to distribute the first equation into the second since the two are being multiplied:

(3x^2-5x+3)(3x-2)

9x^3-6x^2-15^2+10x+9x-6

(simplify)

9x^3-21x^2+19x-6 is the answer to the question

[tex]\left[\begin{array}{ccc}1&0&-2\\&&\\&&\end{array}\right] +\left[\begin{array}{ccc}1&2&3\\&&\\&&\end{array}\right][/tex]

Answers

The answer is [ 2 2 1]

look at the attached picture

Hope it helps

Good luck on your assignment

what is the solution to 2.8(2+0.5n)=2.4(n+1.2)

Answers

Answer:

Step-by-step explanation:

Sam and Joe are painters. Sam makes $2 an hour less than Joe. On a job that took them both 40 hours to complete they made $440. How much does Sam make an hour?

Answers

Answer:

$4.50

Step-by-step explanation:

If they earned $440 in 40 hours

This means they earned 440÷40=11 in one hour

Sam makes x-2 amount of money per hour so the difference between Sam's and Joe's salary is $2

Find two numbers that add up to Ten and can subtract to make a difference of 2 (I am starting with ten as it is easier) 6+4=10 6-4=2

So to make 6 and. 4 add to make a 11 we need to add a 0.5 to each of them so 6.5+4.5=11 and 6.5-4.5= $2.

Therefore Joe makes $6.50 an hour and Sam makes £4.50

A cup of coffee is cooling down such that its temperature is decreasing at a constant rate of 8% per minute. Let’s say the coffee starts at a temperature of 200 degrees Fahrenheit.

What’s its temperature after one minute by finding 8% of 200 and then subtracting?

Answers

Answer:

Temperature after 1 minute = 184 ° F

Step-by-step explanation:

starting temperature = 200 °F

rate of decrease = 8% per minute

Temperature lost = 8% of 200 = 8/100 × 200 = 0.08 × 200 = 16 °F

It therefore means that after 1 minute, the cup of coffee loses 16 °F,

∴ Temperature after 1 minute = (starting temperature) - (lost temperature)

= 200 - 16 = 184 °F

Can you divide 81 into 4 parts so that if you add 2 to the 1st part, subtract 2 from the 2nd part, multiply the 3rd part by 2, and divide the 4th part by 2, the answer in each case will be the same

Answers

Answer:

Yes I believe the answer will be the same.

Step-by-step explanation:

Find the mass of lamina bounded by circles x2 + y2 = 1 and x2 + y2 = 4in the first quadrant if the density is (x2 + y2). Could please anyone solve this...

Answers

Since density is equal to mass per unit volume, mass is equal to density times volume. So we split up the lamina into tiny regions with "volume" (area) equal to dA, multiplied by the density, and integrated over the entirety of the lamina.

This is best done in polar coordinates:

[tex]\begin{cases}x=u\cos v\\y=u\sin v\end{cases}\implies\mathrm dA=\mathrm dx\,\mathrm dy=u\,\mathrm du\,\mathrm dv[/tex]

so that [tex]x^2+y^2=u^2\cos^2v+u^2\sin^2v=u^2[/tex].

The lamina is then the set of points

[tex]L=\left\{(u,v)\mid1\le u\le2\land0\le v\le\dfrac\pi2\right\}[/tex]

Now compute the integral: the mass of the lamina is

[tex]\displaystyle\iint_L(x^2+y^2)\,\mathrm dA=\int_0^{\pi/2}\int_1^2u^3\,\mathrm du\,\mathrm dv=\frac\pi2\int_1^2u^3\,\mathrm du=\frac{15\pi}8[/tex]

g(x) = x-6
Domain of g:

Answers

Answer:

All real numbers

Step-by-step explanation:

The domain is just what values of x you can plug in as an input. In this case, you can plug in any number, as the graph is just a line that has no restrictions. An example of a case where the domain isnt just any number would be g(x) = 5/x, because in that case, x couldn't be 0 because you cant divide by zero.

Answer: all real numbers

Step-by-step explanation:

What is x to the nearest tenth?

Answers

Answer:

x= 13.7 (nearest tenth)

Step-by-step explanation:

Please see attached picture for full solution.

triangle ABC a = 4 and m angle C=30 If the area of the triangle is 6 what is the length of side b

Answers

Answer:

6m = b

Step-by-step explanation:

The area of triangle when angle and sides are given = 1/2* sin angle*ab

Area = 1/2 * sin 30 * 4*b

Area = 6m²

6 = 1/2 * sin 30 * 4*b

(6*2)/(sin 30 * 4)= b

12/(0.5*4) = b

12/2 = b

6m = b

Which of these generalizations is true?
A. All rectangles are squares.
В. All parallelogram s are rectangles.
C. All squares are parallelograms.
D. All trapezoids are parallelograms.

PLEASE HELP QUICKLY !THANK YOU :)​

Answers

B. All parallelograms are rectangles.
Hope this helps ya
Other Questions
Read and choose the option that answers the question. Buenas tardes, amigos! Me llamo Elena y vivo en El Salvador. Me despierto a las seis de la maana, escucho msica y tengo una radio grande. En las tardes, me ducho y me arreglo. Voy con mis amigas al mercado. Antes de ir, me peino el pelo, me lavo la cara y me maquillo. Based on the reading, select the "yo-go" verb used in the paragraph. Live Have Comb Wash Question 2Bromine will react very fast (almost instantly) with which compound?O 1-PenteneCyclohexaneHeptaneBenzene Norton Manufacturing expects to produce 2,900 units in January and 3,600 units in February. Norton budgets $20 per unit for direct materials. Indirect materials are insignificant and not considered for budgeting purposes. The balance in the raw materials inventory account (all direct materials) on January 1 is $38,650. Norton desires the ending balance in raw materials inventory to be 10% of the next month's direct materials needed for production. Desired ending balance for February is $51,100. What is the cost of budgeted purchases of direct materials needed for January The angle \theta_1 1 theta, start subscript, 1, end subscript is located in Quadrant \text{II}IIstart text, I, I, end text, and \sin(\theta_1)=\dfrac{1}{4}sin( 1 )= 4 1 sine, (, theta, start subscript, 1, end subscript, ), equals, start fraction, 1, divided by, 4, end fraction . What is the value of \cos(\theta_1)cos( 1 )cosine, (, theta, start subscript, 1, end subscript, )? PLEASE HELP An object is thrown upward with an initial velocity of 32.1 m/s. What is its velocity in 4.0 s? (use g = 9.81 m/s2). Please include step by step process. -7.14 11.2 7.14 -4.6 Which of these exercise is not included in the Lockdown WorkOut? Betty is now three times as old as Mickey, but in five years she will be only twice as old as Mickey. What are the respective ages of Mickey and Betty now? A circular pool has a radius of 20 feet. What is the area of the pool? Use 3.14 for . What is the kinetic energy of a 108 kg object that is moving with a speed of 11.1 m/s ? What are the solutions to the quadratic equation 2x^2+x=3 Choose EVERY true proportion.BCBDBDO AC Write a method called allDigitsOdd that returns whether every digit of a positive integer is odd. Return true if the number consists entirely of odd digits (1, 3, 5, 7, 9) and false if any of its digits are even (0, 2, 4, 6, 8). For example, the call allDigitsOdd(135319) returns true but allDigitsOdd(9145293) returns false. Why does the narrator call himself but not mad in paragraph 1? What does this tell us about him? What does he reveal is going to happen to him tomorrow? In the last sentence in paragraph one, he tells us this story is just natural causes and effects? What does this mean? 3Select the correct answer.What is a benefit of health insurance?O A.It covers outpatient surgery expenses for your family and friends.OB.It guarantees a certain sum of money to your family after your death.OC.It ensures that you get paid despite being absent from work because of poor health.ODIt reduces the cost of your health services and treatments.ResetNext Which policy is most similar to Soviet totalitarianism under Joseph Stalin Can someone please help me only if you know how to do geometry thank you A recipe uses cup of brown sugar to make 18 cookies. How many cups of brown sugar are needed to make 45 cookies? ASAP 13 points! Easy question for yall mathy people! Ez points! Question in photo. Why does jude tell callum not to go the dundale shopping centre The per-unit standards for direct labor are 2 direct labor hours at $15 per hour. If in producing 2900 units, the actual direct labor cost was $81600 for 5100 direct labor hours worked, the total direct labor variance is