Sao can text 1500 words per hour. He needs to text a message with 85 words. He only has 5 minutes between classes to complete the text. Can he do it in 5 minutes?

Answers

Answer 1

Answer:

yes,in fact he can do it in just 4 minutes.

Step-by-step explanation:

number of words he can text per hour=1500

number of words he can text in a minute=1500÷60 (since there are 60 minutes in an hour,we are dividing 1500 by 60 to get the answer in minutes)

=25 words per minute

number of minutes he has=5.

now, we have to multiply the number of words he can type in a minute by the number of minutes he has,so 25×5=125.

he can type 125 words in 5 minutes.

Answer 2
Final answer:

Sao can text 25 words in a minute. Therefore, Sao can text a total of 125 words in 5 minutes. Thus, 85 words can be texted comfortably within this timeframe.

Explanation:

In this situation, we first need to determine how many words Sao can type in one minute. Since he can type 1500 words per hour, and there are 60 minutes in an hour, by dividing 1500 by 60, we determine that Sao can type 25 words per minute. Now, given that Sao has 5 minutes to type the message and he can type 25 words per minute, in 5 minutes, he should be able to type 125 words - 5 (minutes) * 25 (words). This means that if Sao has a message with 85 words, yes, he can complete the text in 5 minutes as 85 is less than 125.

Learn more about Time management in context of typing speed. here:

https://brainly.com/question/35895229

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Related Questions

The sales tax for an item was $29.60 and it cost $370 before tax. Find the sales tax rate. Write your answer as a percentage

Answers

Answer: 8%

Step-by-step explanation: 370 * 8% = 29.60

Answer: 8% sales tax rate

Step-by-step explanation:

First, you need to find what percentage 29.60 is from 370, so you divide 29.60 by 370 and you get 0.08 then you multiply that by 100 to get your answer in percent. 100 multiplied by 0.08 would be 8%.

Find the absolute value of a-b-c^2 when a=4, b=-3, and c=10

Answers

Answer:-93

Step-by-step explanation:4-(-3)-10²

4+3-100

7-100

=-93

PLEASE HURRY WILL GIVE YOU MY ACCOUNT AND BRAINLIEST IF YOU ANSWER CORRECTLY
The box plots show the weights, in pounds, of the dogs in two different animal shelters.

Which is true of the data in the box plots? Select three choices.
1 The median weight for shelter A is greater than that for shelter B.
2 The median weight for shelter B is greater than that for shelter A.
3 The data for shelter A are a symmetric data set.
4 The data for shelter B are a symmetric data set.
5 The interquartile range of shelter A is greater than the interquartile range of shelter B

WILL REPORT IF WRONG

Answers

Answer:

A, D, E

Step-by-step explanation:

What are the terms in the expression, 2 + 6 + 10b – 8a?

Answers

Final answer:

The terms in the expression 2 + 6 + 10b - 8a are 2, 6, 10b, and -8a, where 2 and 6 are constants, and 10b and -8a are variable terms.

Explanation:

The terms in the expression 2 + 6 + 10b – 8a are 2, 6, 10b, and –8a. A term is a single mathematical expression which can be a number, a variable, or numbers and variables multiplied together. Here, the numbers 2 and 6 are called constant terms because they don’t change, 10b is a variable term which means it has a number (coefficient) and a variable (b), and similarly, –8a is a variable term with a negative coefficient and the variable a.

In 2000, the average price of a football ticket for a Minnesota Vikings game was $48.28. During the next 20 years, the price increased an average of 6% each year. Write a model giving the annual price p (in dollars) of a ticket t in years after 2000.

Answers

[tex]y = 48.28(1.06)^t[/tex] is the model giving the annual price p (in dollars) of a ticket t in years after 2000 is found

Solution:

Given that,

In 2000, the average price of a football ticket for a Minnesota Vikings game was $48.28

During the next 20 years, the price increased an average of 6% each year

The increasing function is given by:

[tex]y = a(1+r)^t[/tex]

Where,

y is the value after t years

t is the number of years

a is the initial value

r is rate of increase in decimal

From given,

a = 48.28

[tex]r = 6 \% = \frac{6}{100} = 0.06[/tex]

Substituting the values we get,

[tex]y = 48.28(1+0.06)^t\\\\y = 48.28(1.06)^t[/tex]

Thus the model giving the annual price p (in dollars) of a ticket t in years after 2000 is found

36x - 8y2 when x=3 an y= -6

Answers

Hey there!

First off, I’m going to assume that the 2 in the second term is an exponent. If it isn’t, let me know and I’ll fix the answer.

Anyways, let’s start by plugging the values for the variables into the equation.

36(3)-8(-6)^2

Square -6

108-8(36)

Multiply.

108-288

Subtract.

-180

Your answer is -180.

Hope this helps!

please answer this if you can thank you :))

Answers

Answer:

The variable that has the highest power is considered to be the degree of polynomials in an algebraic equation.

A column:

1) [tex]4x^3[/tex] .

The degree is 3.

2)[tex]x^2+4[/tex].

The degree is 2.

3) [tex]x-2[/tex]

The degree is 1.

B column:

1) [tex]2x^2+1[/tex]

The degree is 2.

2) [tex]x^2-x[/tex]

The degree is 2.

3) [tex]x^3-5x^2+1[/tex]

The degree is 3.

A×B columns:

While Multiplying two terms in a equation, if the variables are same then multiply the constant value and sum the exponent value.

1) [tex](4x^3)(2x^2+1)[/tex].

=[tex]8x^5+4x^3.[/tex]

The degree is 5.

2) [tex](x^2+4)(x^2-x)[/tex].

=[tex]x^4-x^3+4x^2-4x[/tex].

The degree is 4.

3) [tex](x-2)(x^3-5x^2+1)[/tex].

[tex]=x^4-5x^3+x-2x^3+15x^2-3.\\=x^4-7x^3+15x^2+x-3.[/tex]

The degree is 4.

What is 1/4 * 4x + 8

Answers

Answer:

2

Step-by-step explanation:

do like terms

1/4 x 8 = 2

divide un-like terms

4x ÷ 8 = 2





the answer should be 2

Shane spends 48% of her income on cruises.if she makes $68,000 per year,how much does she spend on cruises?

Answers

Answer:

She spend $32,640 on cruises.

Step-by-step explanation:

Given:

Shane spends 48% of her income on cruises.

If she makes $68,000 per year.

Now, to find the money she spend on cruises.

Shane makes income per year = $68,000.

Percent Shane spends of her income on cruises = 48%.

Now, to get the income she spends on cruises:

48% of $68,000.

[tex]=\frac{48}{100} \times 68000[/tex]

[tex]=0.48\times 68000[/tex]

[tex]=\$32,640.[/tex]

Therefore, she spend $32,640 on cruises.

The fuel gauge in Nick's car says that he has 26 miles to go until his tank is empty he passed a fuel station 19 miles ago and the sign says that there is a town only 8 miles ahead if he takes a chance and drives ahead to the town and there isn't fuel station any more does he have enough fuel to go back to the last station

Answers

Answer:

  No

Step-by-step explanation:

The distance from Nick's current spot to the town ahead and back to this spot is 2·8 = 16 miles. Additionally, it is 19 miles back to the gas station, so a total of 35 miles to the gas station via the town ahead. Nick does not have enough gas for that.

If there is no gas in the town ahead, there will need to be a station within 18 miles further on, or Nick will be walking 9 miles to the station he just passed.

What is -3(x + 4)+15 = 6 - 4x

Answers

Answer:

1/3

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

1. Expand.

−3x − 12 + 15 = 6 − 4x

2. Simplify  −3x − 12 + 15 to −3x + 3.

−3x + 3 = 6 − 4x

3. Subtract 3 from both sides.

−3x = 6 − 4x − 3

4. Simplify 6 − 4x − 3 to −4x + 3.

−3x=−4x+3

5. Add 4x to both sides.

−3x + 4x = 3

6. Simplify -3x + 4x to x.

x = 3

Perimeter and area for these 2 please! Give explanation! BIG POINTS

Answers

Answer: For the figure on the left {c}, the Area is 30m (squared) and the Perimeter is 46m.

For the figure on the right {d}, the Area is 32cm (squared) and the Perimeter is 34cm

Step-by-step explanation: (Please refers to the attached diagram)

We shall start with the diagram on the left. The first thing is to break it down into regular shapes, such as rectangles, squares, etc. The dotted line that runs from point C to point G divides the figure into two rectangles which are ABCG {or X} and GDEF {or Y}. Line AG measures 10m since it’s the same length as line BC. Similarly line GF measures 2m since it’s the same length as line DE. So rectangle “X” has dimensions;

L = 10, W = 1

Area of a rectangle = L x W

Area = 10 x 1

Area = 10m

Similarly rectangle Y has dimensions L= 10m and W = 2m

Hence area of rectangle “Y” is computed as

Area = L x W

Area = 10 x 2

Area = 20m

Area of the entire figure is derived as

Area of rectangle X + Area of rectangle Y, which is

10m + 20m = 30m {squared)

The perimeter of rectangle X is given as Perimeter = 2(L + W)

Perimeter = 2(10 + 1)

Perimeter = 2(11)

Perimeter = 22m

Also, perimeter of rectangle Y is derived as

Perimeter = 2(L + W)

Perimeter = 2(10+ 2)

Perimeter = 2(12)

Perimeter = 24m

Therefore the perimeter of the entire figure is derived as

Perimeter of rectangle X + perimeter of rectangle Y, which is

22m + 24m and that equals 46m

For the second figure on the right side of the page, we shall also break it down with the dotted lines that runs from point E to point G. That leaves us with rectangle ABGF {or P} and rectangle EGCD {or Q}.

Rectangle “P” has dimensions L= 4 and W = 2

Area of rectangle P = 4 x 2

Area of rectangle P = 8cm

Similarly area of rectangle Q is given as Area of Q = 8 x 3

Area of Q = 24cm

Area of the entire figure is derived as

Area of P + Area of Q,

8cm + 24cm

= 32cm {squared}

To compute the perimeter of rectangle P

Perimeter of a rectangle = 2(L + W)

Perimeter of rectangle P = 2(4 + 2)

Perimeter of rectangle P = 2(6)

Perimeter of rectangle P= 12cm

Similarly Perimeter of rectangle Q = 2(L + W)

Perimeter of rectangle Q = 2(8 + 3)

Perimeter of rectangle Q = 2(11)

Perimeter of rectangle Q = 22cm

Hence, perimeter of the entire figure is derived as perimeter of rectangle P + perimeter of rectangle Q which equals

12cm + 22cm and that equals

34cm.

What is 50/400 simplified

Answers

50/400 is 1/8 simplified

Step-by-step explanation:

[tex] \frac{50}{400} = \frac{5}{40} = \frac{1}{8} = 0.125[/tex]

determine whether the realtionship between the circumference of a circle and its diameter is a direct variation. if so, identify the constant of porportionatlity. justify your response

Answers

So, [tex]C \propto d[/tex]Therefore the constant of proportionality is [tex]\pi[/tex]

Step-by-step explanation:

Let the radius of a circle be r

The circumference of a circle is(C) [tex]=2\pi r[/tex]

                                                          [tex]=\pi d[/tex]      [∵2r =d= diameter]

Therefore [tex]C = \pi d[/tex]

Since the value of [tex]\pi[/tex] is always constant. Here the diameter and the circumference are the variables.

So, [tex]C \propto d[/tex]

Therefore the constant of proportionality is [tex]\pi[/tex]

11. Solve 10 + 6(–9 - 4x) = 10(x - 12) + 8.
0
O A. X = -6
B. x = 17
OC. x= -18
D. X = 2
0

Answers

Answer:

Step-by-step explanation:

10 + 6(-9 - 4x) = 10(x - 12) + 8

10 - 54 - 24x = 10x - 120 + 8

-44 - 24x = 10x - 112

-24x - 10x = -112 + 44

-34x = -68

x = -68/-34

x = 2 <====

H E L P
Factor -6m + 9.

a. -6( m - 3)
b. -6( m + 9)
c. -3(2 m - 3)
d. -3(2 m + 3)

Answers

Answer:

c

Step-by-step explanation:

-6m + 9

-3(2m - 3)

Answer:

I think it's c sorry if I am wrong.

Step-by-step explanation:

The sum of two numbers is 50. The first number is 43 less than twice the second number. Write and solve a system of equations to find the two numbers.

Answers

Answer: 19 and 31

Step-by-step explanation: Make the first number x, the second number y.

The sum of x and y is 50: x+y=50

x is 43 less than 2y: x=2y-43

replace x in equation x+y=50 with x=2y-43: 2y-43+y=50

combine like terms: 3y-43=50

add 43 to both sides: 3y=93

divide both sides by 3: y=31

replace y in equation x+y=50 with y=31: x+31=50

subtract 43 31 from both sides: x=19

the solution to the question is the first number is 19, the second number is 31

The two numbers that sum up to 50 with one being 43 less than twice the other, we set up a system of equations, solve for one variable, and then substitute it back into the other equation, resulting in the numbers 19 and 31.

The question asks us to find two numbers whose sum is 50 and where the first number is 43 less than twice the second number. To solve this, we can create a system of equations to represent the given conditions. Let the first number be x and the second number be y.

According to the question, the sum of the two numbers is 50, which gives us our first equation:

x + y = 50 (Equation 1)

The first number x is 43 less than twice the second number y. This provides the second equation:

x = 2y - 43 (Equation 2)

We now have a simple system of two linear equations:

x + y = 50

x = 2y - 43

We can substitute the second equation into the first to solve for y:

(2y - 43) + y = 50

3y - 43 = 50

Add 43 to both sides:

3y = 93

Divide both sides by 3:

y = 31

We can now substitute y = 31 back into Equation 2 to find x:

x = 2(31) - 43

x = 62 - 43

x = 19

Therefore, the two numbers are 19 and 31.

5x6+(5+7) = please help

Answers

Answer:

Step-by-step explanation:5×6=30 and 5+7=12

Then is 30+12=42

The answer is 42

I believe the answer is 42.

What is -4 divided by -0.2?

Answers

Answer:

20

Step-by-step explanation:

-4/-0.2

Final answer:

When dividing numbers with the same sign, the result is always positive. In this case, -4 divided by -0.2 is equal to 20.

Explanation:

When dividing numbers with the same sign, the result is always positive. In this case, -4 divided by -0.2 is equal to 20.

Every Halloween, trick-or-treaters love going to Erica's house to see her spooky decorations and get some of her delicious caramel chews.
There is a proportional relationship between the number of kids in a group, x, and the total number of caramel chews Erica gives to that group, y.
x (kids) y (caramel chews)
2 6
4 12
5 15
6 18
Write an equation for the relationship between x and y.
y=

Answers

Answer:

[tex]y=3x[/tex]

Step-by-step explanation:

Let

x ----> the number of kids in a group

y ----> the total number of caramel chews Erica gives to that group

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]k=\frac{y}{x}[/tex] or [tex]y=kx[/tex]

Find the value of the constant of proportionality k

take a ordered pair from the data in the table and determine the value of k

For x=2, y=6 ----> [tex]k=\frac{y}{x}[/tex] ----> [tex]k=\frac{6}{2}=3\ caramels/kid[/tex]

therefore

[tex]y=3x[/tex]

Use the distributive property to write an expression
that is equivalent to 45 + 30x. Please help!! ;0

Answers

Answer:

15(3+2x)

Step-by-step explanation:

Factor out the 15.

What number decreased by 77 equals negative 18

Answers

Answer:

59

Step-by-step explanation:

77+(-18)=59

Check:

59-77=(-18)

Hoped this helped !

Cheers, Z.

Answer:

59

Step-by-step explanation:

59-77=-18

77+-18=59

Simplify the expression: 2/3 divided by - {1/6 - 8/6}

Answers

Answer:

4/7

Step-by-step explanation:

1/6-8/6=-7/6

-[1/6-8/6]=7/6

---------------------

(2/3)/(7/6)=(2/3)(6/7)=12/21=4/7

What is the probability that a randomly chosen positive factor of 72 is less than 10?
and
A list consists of all possible three-letter arrangements formed by using the letters A, B, C, D, E, F, G, H such that the first letter is D and either the second or third letter is A. If no letter is used more than once in an arrangement and one three-letter arrangement is randomly selected from the list, what is the probability that the arrangement selected will be DCA?

Answers

Problem 1

S = sample space = set of all possible outcomes

S = set of positive factors of 72

S = {1,2,3,4,6,8,9,12,18,24,36,72}

n(S) = number of items in sample space

n(S) = 12

E = event space = set of outcomes we want to happen

E = set of factors of 72 such that they are less than 10

E = {1,2,3,4,6,8,9}

n(S) = number of items in event space

n(S) = 7

P(E) = probability get a value in set E (that is also in set S as well)

P(E) = probability we get a positive factor of 72 that is less than 10

P(E) = n(E)/n(S)

P(E) = 7/12

Answer: 7/12

============================================

Problem 2

[tex]\begin{array}{ccl}S & = & \text{Sample Space}\\\\S & = & \{\\ & & ~~DAB, DAC, DAE, DAF, DAG, DAH\\ & & ~~DBA, DCA, DEA, DFA, DGA, DHA\\ & & \}\end{array}[/tex]

n(S) = 12

E = event space

E = {DCA}

n(E) = 1

P(E) = probability we get an item in set S that is in set E also

P(E) = probability we get DCA from set S listed above

P(E) = n(E)/n(S)

P(E) = 1/12

Answer: 1/12

Vicki would like to estimate the probability of tails coming up fewer than 2 times in 3 coin flips.

To do this, she has a computer randomly select 0 or 1 three times, with 0 representing heads and 1 representing tails. The results of 15 trials are shown in the table.
110 111 000 011 000
010 101 100 000 000
111 101 110 101 111

What is Vicki's estimated probability, based on this simulation?

Answers

Answer:

0.4

Step-by-step explanation:

Vicki has a computer randomly select 0 or 1 three times, with 0 representing heads and 1 representing tails. The results of 15 trials are shown in the table.

110    111   000    011   000

010   101   100   000   000

111     101    110     101    111

Vicki would like to estimate the probability of tails (1) coming up fewer than 2 times (must be 0 or 1 digit 1 in record). All such seuences are marked in bold int the above table. There are 6 such trails. Hence, Vicki's estimated probability, based on this simulation is

[tex]\dfrac{6}{15}=\dfrac{2}{5}=0.4[/tex]

♡ The Question ♡

-What is Vicki's estimated probability, based on this simulation?

* ୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ The Answer ♡

-The answer would be 0.4, but if you're looking for it in fraction-form it would be 2/5! So your answer is 2/5!

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ The Explanation/Step-By-Step ♡

-No Explanation/Step-By-Step provided!

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ Tips ♡

-No Tips provided!

Find the Derived Function

Answers

a) [tex]\frac{dy}{dx} = \frac{1-3lnx}{x^4}[/tex]

b) [tex]\frac{dy}{dx} = \frac{-2}{3\sqrt[3]{1-x} }[/tex]

Explanation:

a) [tex]y=\frac{lnx}{x^3}[/tex]

[tex]y = \frac{lnx}{\sqrt[3]{x} }[/tex]

[tex]y = lnx. x^-3[/tex]

Differentiating the above equation in terms of x

[tex]\frac{dy}{dx} = \frac{1}{x} \times x^-3 - 3lnx\times x^-^4\\\frac{dy}{dx} = \frac{1}{x^4} - \frac{3lnx}{x^4} \\\frac{dy}{dx} = \frac{1-3lnx}{x^4} \\[/tex]

b) [tex]y = \sqrt[3]{1-x^{2} }[/tex]

Differentiating the above equation in terms of x

[tex]y = \sqrt[3]{(1-x)^{2} } \\\frac{dy}{dx} = (1-x)^\frac{2}{3} \\\frac{dy}{dx} = \frac{2}{3}\times (1-x)^\frac{-1}{3} \times -1\\\frac{dy}{dx} = \frac{-2}{3\sqrt[3]{1-x} }[/tex]

Thus,

a) [tex]\frac{dy}{dx} = \frac{1-3lnx}{x^4}[/tex]

b) [tex]\frac{dy}{dx} = \frac{-2}{3\sqrt[3]{1-x} }[/tex]

how many triangles can be drawn with side lengths of 3 inches, 5 inches, and 6 inches

Answers

Answer:

One triangle

Step-by-step explanation:

we know that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

Verify the length sides of triangle

Applying the triangle inequality theorem

1) 3+5 > 6 ---> is true

2) 3+6 > 5 ---> is true

3) 5+6> 3----> is true

therefore

One triangle can be drawn with the given lengths

Final answer:

With side lengths of 3 inches, 5 inches, and 6 inches, only one triangle can be drawn as these dimensions meet the triangle inequality theorem, allowing for the creation of one unique triangle.

Explanation:

The question is about determining if a triangle can be constructed with given side lengths. According to the triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the third side. In this case, the side lengths are 3 inches, 5 inches, and 6 inches.

Adding the lengths of the two shorter sides, 3 inches + 5 inches = 8 inches, which is greater than the length of the longest side, 6 inches. This means a triangle with these side lengths can be drawn. However, it is important to note that the lengths provided can only create one unique triangle, since the lengths are fixed and there can't be another triangle with different angles with the same side lengths.

Therefore, with side lengths of 3 inches, 5 inches, and 6 inches, exactly one triangle can be drawn.

Which value is an output of the function? -6,-2,4,7

Answers

Final answer:

Without knowing the function itself, it's impossible to definitively say which of the values (-6,-2,4,7) is an output. Any of these numbers could potentially be an output depending on the function.

Explanation:

In the context of this question, an output of a function refers to the result you get after substituting an input (or value from the domain) into the function. For example, if we have a function f(x) = x+2, and we input the value 3 (from our domain), our output (or range) will be 5. Unless we know the actual function, it's difficult to determine which of the listed values (-6,-2,4,7) is an output because any of these could potentially be an output depending on the function. Thus, without additional context, the statement 'Which value is an output of the function?' cannot be definitively answered.

Learn more about Function Output here:

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The output of a function is -6.

The output of a function is the value that the function produces when a certain input is given. In the table above, the function is f(x). We are given that x can be any of the values -6, -2, 4, or 7. We want to know which of the values -6, -2, 4, 7, or 12 is an output of the function.

To find out, we can look at the table. We see that the only value in the table that is an output of the function is -6. This is because when we plug in x = -6 into the function, we get f(x) = -6.

Therefore, the answer is -6.

For such more question on function

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what is 67,456 divided by 32 and tell me how

Answers

Answer:

2108

Step-by-step explanation:

Divide 67,456 by 32, using long division.

1) How many times 32 go into 67? (2 times, with a remainder of 3)

2) Bring down the 4.

3) How many times does 32 go into 34? (1 time, with a remainder of 2)

4) Bring down the 5

5) How many times does 32 go into 25? (0 times, so write 0)

6) Bring down the 6.

7) How many times does 32 go into 256? ( 8 times, no remainder)

8) Your answer is 2108

I would like to know the answer to the following question

(((10-9)+2)-3)

Answers

Work from the inside set of parentheses to the outside at:

(()10-9)+2)-3)

10-9 = 1

1+ 2 = 3

3-3 = 0

The answer is 0

(((10 - 9)+2)-3)

((1+2)-3)

(3-3)

The answer is 0.

⭐ Answered by Hyperrspace (Ace) ⭐

⭐ Brainliest would be appreciated, I'm trying to reach genius! ⭐

⭐ If you have questions, leave a comment, I'm happy to help! ⭐

Other Questions
What is the freezing point of an aqueous solution that boils at 101 degrees C? Kfp = 1.86 K/m and Kbp = 0.512 K/m. Enter your answer to 2 decimal places. What does it mean for your life to be stronger and free Pretend you are in the Dominican Republic with a friend. Write a short description in Spanish of what you and your friend do for fun. Write two (2) complete sentences in Spanish. Include the following details in your description: (4 points)You may copy and paste the accented and special characters from this list if needed: , , , , , , , , , , , , , , .Write one sentence with an activity you do. Include where you go to do the activity and when/how often you do it. (e.g., On the weekend, I go to the beach to swim.) Remember to use the correct form of the verb ir.Write one sentence with an activity your friend does. Include where he/she goes to do the activity and when/how often he/she does it. (e.g., Sometimes, my friend goes fishing.) Remember to use the correct form of the verb ir. "You begin an experiment with two populations of E. coli that are each composed of 100 cells. The cells are all genetically identical (i.f., they are clones). You grow these populations in flasks on a lab bench under identical conditions with sufficient resources for the survival of all individuals. What process will introduce genetic variation into these populations?" Normal DistributionUsing the graph as a reference, select allstatements that are true about a normal distributionof data.Normal distributions are symmetrical aboutthe mean, m.The total area under the curve is 100.Ninety-five percent of the data lies within 1standard deviation of the mean.The probability that an event is within 1standard deviation above the mean is 34%.All data sets are normally distributed Anne looks at going into hiding as an adventure first. When does she realize what it really meant? (Really need this question answered!) Describe an incident/event during your lifetime that has had a significant impact on you An arrangement of marbles has 12 marbles in the first row and 10 rows in all. In each successive row one marble is added.What is the explicit rule for this situation, and how many marbles will be in the 10th row?Drag and drop the answers into the boxes to match the situation.Explicit ruleNumber of marbles in the 10th rowAn = 11 + 11n, An = 12 + n, An = 11 + n, An = 12 + 10n, 19, 20, 21, An experiment investigating the effects of temperature on aggression assigns the first 50 participants to arrive at the experiment to the ""hot room"" condition and the last 50 to arrive to the ""cold room"" condition. What is wrong with this research? The brain volumes (cm cubed) of 20 brains have a mean of 1105.1 cm cubed and a standard deviation of 123.5 cm cubed. Use the given standard deviation and the range rule of thumb to identify the limits separating values that are significantly low or significantly high. For such data, would a brain volume of 1332.1 cm cubed be significantly high? Significantly low values are 858 cm cubed or lower. (Type an integer or a decimal. Do not round.) A sports team is throwing an end-of-season party at the fitness club. The costs associated with the party include a $150 flat fee for the room rental and a $14 per person charge for the Italian buffet. An 18% tip must be added to the cost of the food. Express the total cost for the party as a function of the number of people attending An iron block with mass mB slides down a frictionless hill of height H. At the base of the hill, it collides with and sticks to a magnet with mass mM.Now assume that the two masses continue to move at the speed v from Part A until they encounter a rough surface. The coefficient of friction between the masses and the surface is . If the blocks come to rest after a distance s, which of the following equations would you use to find s?View Available Hint(s)Now assume that the two masses continue to move at the speed from Part A until they encounter a rough surface. The coefficient of friction between the masses and the surface is . If the blocks come to rest after a distance , which of the following equations would you use to find ?((mB)2mB+mM)gH=mBgs((mB)2mB+mM)gH=mMgs((mB)2mB+mM)gH=(mB+mM)gs((mB)2mB+mM)gH=(mB+mM)gs((mB)2mB+mM)gH=(mB+mM)g During May, the cost of goods manufactured was $55,000. The beginning finished goods inventory for the month was $22,000, and the ending finished goods inventory was $34,000. What was the cost of goods sold for May? You deposit $7500 in an account that pays 5.2% interest compounded continuously. Find the balance after 10 years. Moral emotions are those emotions that have moral implications because of our ________. 1. religious beliefs 2. individualistic culture 3. guilt caused by our society 4. instant judgment of the situation that evokes them 5. interpersonal relationships Suppose a three period weighted average is being used to forecast demand. Weights for the periods are as follows: 0.1, 0.4 and 0.5. Demand observed in the previous three periods was as follows: 120, 140 and150. What will be the demand forecast for period the next periodt Choose two selections from this unit: The Ramayana byValmiki "My Father Writes to My Mother" by Assia Djebar "Another Evening at the Club" by Alifa Rifaat "The Happy Man" by Naguib Mahfouz "The Swimming Contest" by Benjamin Tammuz "The Womens Baths" by Ulfat al-Idlibi Like the Sun by R. K. Narayan What did you learn about the role of women in the societies described in your selections from this unit? In two well developed paragraphs that begin with TAG (title, author, genre), describe how the women from two of the selections listed above cope with the conflicts they encounter, citing textual evidence to support your claims. The framers of the U.S. Constitution intended to create a presidency capable of a. withstanding excessive democratic popular pressure by making it subject to indirect election through the electoral college. b. regulating all forms of commerce. c. completely dominating Congress. d. spending money with little interference from any other branch of government. 15 POINTS! IMAGE ATACHED La Mona Lisa se trouve dans _________.un parc national.un parc d'attraction.un museune plage