PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!

A population of bacteria is growing according to the exponential model P = 100e^(.70)t, where P is the number of colonies and t is measured in hours. After how many hours will 300 colonies be present? [Round answer to the nearest tenth.]

PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!! A Population Of Bacteria Is Growing According To The

Answers

Answer 1

Answer: B

Step-by-step explanation:

[tex]P=100e^{(.70)t}[/tex]

[tex]300=100e^{.7t}[/tex]

[tex]3=e^{.7t}[/tex]

[tex]ln3=lne^{.7t}[/tex]

[tex]ln3=.7t[/tex]

[tex]\dfrac{ln3}{.7}=t[/tex]

1.6 = t


Answer 2

Answer:

Option B. 1.6 Hours

Step-by-step explanation:

The model for the population of bacteria is growing by :

[tex]P=100e^{(0.70)t}[/tex]

Where P = Number of colonies

and t = time in hours.

So, now put  the value of  P = 300 in the given model and obtain the value of t.

⇒ [tex]300=100e^{(0.70)t}[/tex]

⇒ [tex]3=e^{(0.7)t}[/tex]

Taking the natural log in on both the side

⇒ [tex]In3=Ine^{(0.7)t}[/tex]

⇒ [tex]In3=0.7t[/tex]

⇒ [tex]t=\frac{In3}{0.7}[/tex]

t = 1.6 hours

Therefore, The correct option is B). 1.6 hours


Related Questions

Mike took a taxi from his home to the airport. The taxi driver charged an initial fee of $6plus$3 per mile. The total fare was $24, not including tip. How many miles did Mike travel by taxi on this ride.

Answers

Answer:

6 miles

Step-by-step explanation:

AS Mike took the taxi from his home to airport and covered a distance

Initial fee of the ride was $ 6 which is fixed

Now with each mile he has to pay $3

Total he paid = $ 24

Now we have to find the total no of miles traveled  by Mike

The tip given is 0

Now from the given we can make an equation

Initial fee + 3 * miles traveled =  total Paid

Let total no of miles traveled are x

Putting all the values in the given equation

6 + 3 * x = 24

6 + 3x = 24

3x = 24-6

3x = 18

Dividing both sides by 3

x = 18 /3

x =6 miles

So the total miles traveled by him is 6 miles

The equation is $6 + $3 *m = $24, where m represents the number of miles traveled. Solving this, Mike traveled 6 miles.

The student's question concerns calculating the distance Mike traveled by taxi, given the initial fee and the per mile charge, as well as the total fare. To solve this, we can set up a simple algebraic equation. The initial fee is $6, and the charge per mile is $3. Since the total fare was $24, our equation becomes:

Initial fee + (charge per mile * number of miles) = Total fare

$6 + $3 * m = $24

Where m represents the number of miles Mike traveled. We will solve for m to find the distance Mike traveled

Subtract the initial fee from the total fare: $24 - $6 = $18Divide by the charge per mile to find the number of miles: $18 / $3 = 6 miles

Thus, Mike traveled 6 miles by taxi on this ride.

Explain how mental math can be used to estimate a 15% tip on a taxi ride that costs $23.25 Find the tip using that method. Halp pllz!

Answers

Answer:

$3.4875

Step-by-step explanation:

AS the ride is completed and according the rule the person have to give a tip on the total taxi ride

according to the given

tip given 15%

Total ride cost = $23.25

To find is the total tip given in dollars

Solution:

Total tip in dollars = 15 % of total ride cost

Putting the values of the given

Total tip in dollars = 15 % of 23.25

it can be written as

                             = [tex]\frac{15*23.25}{100}[/tex]

                              =[tex]\frac{348.75}{100}[/tex]

                               =$ 3.4875

So the total tip would be $3.4875

Answer:

3.50 cent

Step-by-step explanation:

I take 10% and 20% of the number. For this ride, that would be about $2.33 and 4.66.

Then I estimate what is about half way between those two numbers. It looks like about $3.50 would be about 15%.

CDs are on sale for $5 each.Jennifer has $45 and wants to buy as many as she can.How many CDs can Jennifer buy?

Answers

Answer: (9 CDs)

If she has $45 and the CDs cost $5. The most she can buy is 9 CDs


The number of maximum CDs that Jennifer can buy is 9.

What is the arithmetic operator?

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Division = divide any two numbers or variables called division.

As per the given,

Cost of one CD = $5

Jennifer budget = $45

Number of CDs can buy = Jennifer's budget/cost of one CD

Number of CDs can buy = 45/5 = 9

Hence "The number of maximum CDs that Jennifer can buy is 9".

To learn more about the arithmetic operators,

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It takes layla 2/5 hour to swim 1/2 mile what is the unit rate of miles that layla can swim per hour

Answers

Answer:

1 1/4 mph


Step-by-step explanation:

Distance = rate x time

1/2 mile = R x 2/5 hour

1/2=2/5R

/2/5 /2/5

R=1/2 x 5/2

R=1 1/4


I hope this helps :)

Which expression, when simplified, is equal to 7p? A) 9p – 2pq – 7p – 5p + 2pq B) 9p – 2pq – 7p + 5p – 2pq C) 9p + 2pq – 7p + 5p – 2pq D) 9p + 2pq + 7p + 5p – 2pq E) 9p + 2pq – 7p + 5p + 2pq

Answers

Answer:C


Step-by-step explanation:

2pq - 2pq is zero. B and E have no zero pq coefficient.

p(9-7+5) = 7p

Answer:

c

Step-by-step explanation:

i did the test lol

Sarah bought a shirt on sale for $35. The original price of the shirt was three times that amount Sarah also bought a pair of shoes on sale for $28 they original price of the shoes with five times that amount together how much money did the shirt and shoes cross before they went on sale.

Answers

Answer:

$245


Step-by-step explanation:

Orignal price for shirt was 105

Original price for shoe sizes was 140

105+140=245

SUPER EASY MATH QUESTION!!!!!! 25 POINTSSSSS!!!!!!!! PLEASE ANSWER CORRECTLY!!!!!!!!!!!!!!!!

Problem:
Five sisters each bought matching scarves and two pairs of socks. The scarves were priced at $12.00. If the total bill for all 5 sisters was $125.00, what was the price of one pair of socks? (Please answer in equation form. Ex: x = 29).

Answers

x - price of one pair socks

The equation:

[tex]5(2x)+5\times12=125[/tex]

[tex]10x+60=125[/tex]       subtract 60 from both sides

[tex]10x=65[/tex]      divide both sides by 10

[tex]\boxed{x=6.5}[/tex]

Answer: The price of one pair of socks is $6.50.

5(2x) - five sisters · two pairs of socks

5 · 12 - five scraves

125 - total cost

What is the equation of the line:

Answers

Answer:

Final answer is y=3x-2.

Step-by-step explanation:

We have been given a graph and using that graph we need to find the equation of line.

Equation of line is given by formula y=mx+b

Where b is the y-intercept.

We see that graph crosses y-axis at (0,-2) so that means b=-2

Now plug b=-2 into formula y=mx+b. We get:

y=mx-2 ...(i)

Now find any point from the graph say (1,1) and plug into (i) to find value of slope m

1=m*1-2

1=m-2

1+2=m

3=m

Now plug m=3 into (i). We get:

y=3x-2

Hence final answer is y=3x-2.





Write an equation. Is the given value a solution? A farmer sees 23 of his cows out of the barn. He knows that he has 42 cows altogether. Let c represent the number of cows still in the barn. Could c = 19?

Answers

42=c+23 I hope I helped.

By establishing and solving the equation c + 23 = 42, where c represents the number of cows in the barn, it is demonstrated that c = 19 is indeed a correct solution to the problem.

The student needs to determine if c=19 is a solution for the equation representing the number of cows still in the barn. To represent the total number of cows with those seen outside and those inside, we can write the equation c + 23 = 42. This equation sums the number of cows outside (23) with those still in the barn (c) to get the total number of cows (42).

Calculating the Unknown

Firstly, define the symbol c as the number of cows still in the barn. Then, using our equation c + 23 = 42, we can solve for c by subtracting 23 from both sides of the equation, getting c = 42 - 23, which simplifies to c = 19.

Evaluating the Solution

Substituting c = 19 back into the original equation to check if it makes sense, we get 19 + 23 = 42, which is a true statement, confirming that the value of c is indeed 19 and it is the correct solution.

One side of a kite is 5 cm less than 2 times the length of another. If the perimeter is 14 cm, find the length of each side of the kite.

A) 5 cm, 5 cm

B) 4.2 cm, 3.4 cm

C) 6.3 cm, 7.7 cm

D) 4 cm, 3 cm

Answers

Answer:

Step-by-step explanation:

Alright, lets get started.

Suppose one side of the kite is x

One side of a kite is 5 cm less than 2 times the length of another.

So, another side of the kite will be = [tex]2x-5[/tex]

So, the all 4 sides of the kite will be x, x , 2x-5 and 2x-5

The perimeter of the kite will be = [tex]x+x+2x-5+2x-5=6x-10[/tex]

As per given in question, perimeter is 14, so

[tex]6x-10=14[/tex]

Adding 10 in both sides

[tex]6x=24[/tex]

Dividing 6 in both sides

[tex]x=4[/tex]

So, another side is [tex]2*4-5=3[/tex]

So, the sides are 4 cms and 3 cms   :   Answer D

Hope it will help :)



Answer:

D) 4 cm, 3 cm  

Step-by-step explanation:  

Since we know that kite is made of two sets of equal sides.

Let x be the length of one of equal sides and y be length of another side of equal sides.      

We have been given that one side of a kite is 5 cm less than 2 times the length of another. We can represent this information as:

[tex]x+5=2y...(1)[/tex]

We are also told that the perimeter is 14 cm. We can represent this information as:

[tex]2(x+y)=14...(2)[/tex]

From equation (1) we will get,

[tex]x=2y-5[/tex]

Substituting this value in equation (2) we will get,

[tex]2(2y-5+y)=14[/tex]

[tex]2(3y-5)=14[/tex]

[tex]6y-10=14[/tex]

[tex]6y-10+10=14+10[/tex]

[tex]6y=24[/tex]

[tex]y=\frac{24}{6}[/tex]

[tex]y=4[/tex]

Therefore, length of one side of kite is 4 cm.  

Upon substituting y=4 in equation (1) we will get,

[tex]x+5=2*4[/tex]

[tex]x+5=8[/tex]

[tex]x+5-5=8-5[/tex]

[tex]x=3[/tex]

Therefore, the length of another side of kite is 3 cm and option D is the correct choice.

2) Line segment MK has endpoints at (2, 3) and (5, ?4). Segment M'K' is the reflection of MK over the y-axis. Which statement describes the relationship between MK and M'K'? A)M'K' is twice the length of MKB)M'K' is half the length of MK.C)M'K' is the same length as MK.D)More information is needed to determine the relationship

Answers

Answer:

Option C -M'K' is the same length as MK

Step-by-step explanation:

Given : Line segment MK has endpoints at (2, 3) and (5,4)

               M'K' is the reflection of MK over the y-axis

By definition of reflection: reflection of point (x,y) across the the y-axis is the point (-x,y)

which implies M'K' has end points (-2,3) and (-5,4)

Now, we find the length of MK

let [tex](x_1,y_1)=(2,3)\\\\(x_2,y_2)=(5,4)[/tex]

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

⇒ [tex]d=\sqrt{(2-5)^2+(4-3)^2}[/tex]

⇒[tex]d=\sqrt{9+1}[/tex]

⇒[tex]d=\sqrt{10}[/tex]   ....(1)

Now, we find the length of M'K'

let [tex](x_1^{'},y_1^{'})=(-2,3)\\\\(x_2^{'},y_2^{'})=(-5,4)[/tex]

[tex]d^{'}=\sqrt{(x_2^{'}-x_1^{'})^2+(y_2^{'}-y_1^{'})^2}[/tex]

⇒ [tex]d^{'}=\sqrt{(-2+5)^2+(3-4)^2}[/tex]

⇒[tex]d^{'}=\sqrt{9+1}[/tex]

⇒[tex]d^{'}=\sqrt{10}[/tex] .....(2)

from (1) and (2) we simply show that the length of MK and M'K' is equal

we can also refer the figure attached for reflection of MK and M'K'

therefore, Option C is correct


Answer:

M'K' is the same length as MK.

Step-by-step explanation:

A reflection is a rigid transformation. Rigid transformations do not affect the length of the line segment

A bouquet of flowers contains 46 flowers and half of them are roses.How many of the flowers are not roses

Answers

Answer:

23

Step-by-step explanation:

46 divided by 2

equals:23

Justing has 20 pencils, 25 erasers, and 40 paper clips. He organize them into groups with the same number of items and each group. All the items in. Group will be the same type. How many items can he put in each group?

Answers

Answer:

The answer is 17 items in 5 groups.

Step-by-step explanation:

If we have 20 pencils + 25 erasers + 40 paper clips; that´s a total of 85 items.

Then we just divide all the items into 5 groups so we can have the same amount of items in each group.

85 items  ÷ 5 groups = 17 items each.

17 x 5 = 85.

There are 40 flavors of ice cream at the local ice cream store. 37.5% of the flavors contain chocolate. Which proportion could be used to calculate the total number of ice cream flavors that contain chocolate?

Answers


[tex] \frac{37.5}{100} \: = \: \frac{x}{40} [/tex]
x = 4 × 3.75
x = 15.

It takes 28 minutes to play 8 songs on a radio.Every song is played for the same length of time.How does it take to play 1 song?Express your answer as a mixed number or a decimal

Answers

Answer:

you would divide 28 by 8 and get 3.5. so around 3:30 per song

Step-by-step explanation:


Answer:


Step-by-step explanation:28÷8=3.5 , each song is 3 and a half minutes long


A family buys groceries for $154.35, including $10.37 in taxes. The bill includes $27.83 worth of items that are not taxable. Find the sales tax rate.

Answers

154.35 - 10.37 = 143.98
143.98 - 27.83 = 116.15
10.37 = 116.15x
x = 0.0893

Change x to percent form to get 8.93% tax rate.

Write the quadratic equation in standard form for the following equations
(7,4);(-2,1);(1,9)

Answers

Answer:

[tex]y=-\frac{7}{18}x^2+\frac{41}{18}x+\frac{64}{9}[/tex]

Step-by-step explanation:

We need to write a quadratic equation so we can use standard quadratic equation:

[tex]y=ax^2+bx+c[/tex]

Plug the given points to get three equations.

for (7,4), we plug x=7 and y=4

[tex]4=a(7)^2+b(7)+c[/tex]

[tex]4=49a+7b+c[/tex] ...(i)

similarly using other two points, we get:

[tex]1=4a-2b+c[/tex] ...(ii)

[tex]9=a+b+c[/tex] ...(iii)

Now we solve those three equations by any method like substitution, or matrices or by any method and get:

[tex]a=-\frac{7}{18},\ b=\frac{41}{18},\ c=\frac{64}{9}[/tex]

Now plug these values into [tex]y=ax^2+bx+c[/tex], we get final equation as:

[tex]y=-\frac{7}{18}x^2+\frac{41}{18}x+\frac{64}{9}[/tex]

Anna wants to buy season passes to two theme parks. If one season pass costs $54.99 and Anna has $100 to spend on both passes, the second pass has to cost no more than what amount?

Answers

Answer:

54.01

If it’s an less than problem then

49.01<54.01<100

Step-by-step explanation:

100-54.99

= 54.01


35 pts!! Please help this will help me graduate!!!
Consider this system of equations:

-3x + 5y = 22 (equation 1)
20y − 11 = 12x (equation 2)
This system of linear equations represents ___lines.
(A. coincidental B. Intersecting C. parallel)
The system of equation 1 and the equation 20y = 12x + 88 represents___ lines.
(A. coincidental B. Intersecting C. parallel)

Answers

Answer:

This system of linear equations represents parallel lines.

The system of equation 1 and the equation 20y = 12x + 88 represents coincidental  lines

Step-by-step explanation:

-3x + 5y = 22 (equation 1)


Lets solve the equation for y

Add 3x on both sides

5y= 3x+22

Now divide by 5 on both sides

[tex]y=\frac{3x}{5}+ \frac{22}{5}[/tex]

Slope of equation 1 is [tex]\frac{3}{5}[/tex]

20y − 11 = 12x (equation 2)

solve for y

Add 11 on both sides

20y = 12x + 11

Divide by 20 on both sides

[tex]y=\frac{12x}{20}+ \frac{11}{20}[/tex]

simplify the fraction

[tex]y=\frac{3x}{5}+ \frac{11}{20}[/tex]

Slope of equation 2 is [tex]\frac{3}{5}[/tex]

Slope of equation 1  and equation 2  are same , so the lines are parallel

This system of linear equations represents parallel lines.

-3x + 5y = 22 (equation 1) and 20y = 12x + 88

Solve both equations for y

-3x + 5y = 22 (equation 1)

[tex]y=\frac{3x}{5}+ \frac{22}{5}[/tex]

Slope of equation 1 is [tex]\frac{3}{5}[/tex] and y intercept is 22/5

20y = 12x + 88

Divide by 20 on both sides and simplify the fraction

[tex]y=\frac{3x}{5}+ \frac{22}{5}[/tex]

Slope of 20y=12x+88 is [tex]\frac{3}{5}[/tex] and y intercept is 22/5

Slope and y intercepts are same so the lines are coincidental

The system of equation 1 and the equation 20y = 12x + 88 represents coincidental  lines

From which language does the underlined phrase originate? When the house guests arrived, Granny said, "Mi casa es su casa." A. French B. Italian C. Spanish D. Algonquian Please select the best answer from the choices provided A B C D

Answers

The correct answer is option C - Spanish.

From which language does the underlined phrase originate? When the house guests arrived, Granny said, "Mi casa es su casa."

"mi casa es su casa" is a common Spanish expression which means - "welcome" or "make yourself at home" Mi casa es su casa literally means "my house is your house".

The ratio of the lengths of the corresponding sides of two rectangles is 8:3 . The area of the larger rectangle is 320 ft. What is the area of the smaller rectangle

Answers


[tex] \frac{x}{320} = ( \frac{3}{8} )^{2} \\ x = 45[/tex]

AD _____ EC

Choose the relationship symbol to make a true statement.

<
=
>

Answers

AD > EC

the 25° angle is more inclined than the other

Answer:

AD>EC

Step-by-step explanation: If you look at the two traingles, angle AD is a bit larger than angle EC, this is due to the degrees of the angles, EC-> 25,

AD-> 30, this makes the triangle of AD, greater than EC.

at the beginning of the week, Miguel's odometer reads 87,845. At the end of the week, his odometer reads 88,003. How many miles did Miguel travel that week?

Answers

Hey there.

To do this, we simply just subtract. 88,003-87,845

Once we do this, we get 158. Miguel traveled 158 miles that week.

-TheOneandOnly003


Answer:

87,845-88,033= -188 so he traveled 188 miles that week.

M is the midpoint of YZ. If YM = x + 3, and YZ = 3x -1, find MZ

Answers

The length of {MZ} will be equivalent to -

MZ = 4 - 2x.

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that M is the midpoint of YZ. Also, it is given that YM = x + 3, and YZ = 3x - 1.

Midpoint divides the line into two equal parts.

We can write -

YM + MZ = YZ

(x + 3) + MZ = (3x - 1)

MZ = (x + 3) - (3x - 1)

MZ = x + 3 - 3x + 1

MZ = 4 - 2x

Therefore, the length of {MZ} will be equivalent to -

MZ = 4 - 2x.

To solve more questions on algebraic expressions, visit the link below -

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In your neighborhood, 7/25 of your neighbors have dogs. This is equivalent to what decimal?

Answers

See the attached picture:


Final answer:

The fraction 7/25 translates to the decimal 0.28 in mathematics.

Explanation:

In the question, we are to translate the fraction 7/25 to a decimal. This is a straightforward conversion in the field of mathematics. To convert this fraction to a decimal, we divide the numerator (the top number) by the denominator (the bottom number), yielding 7 ÷ 25 = 0.28. Therefore, the fraction 7/25 is equivalent to the decimal number 0.28 when rounded to two decimal places.

Learn more about Fraction to Decimal Conversion here:

https://brainly.com/question/31738948

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Need help with Select Expansion or Contraction to correctly describe the type of dilation for each given scale factor.

Answers

To know if a dilation is an expansion ( bigger) r a contraction ( smaller) ignore the negative sign.

If the number is larger than 1, it is an expansion, if the number is smaller than 1 it is a contraction.


-4 is an expansion

2.5 is an expansion

2/3 is a contraction

-3/4 is a contraction


There are 7 students in a class: 2 boys and 5 girls. If the teacher picks a group of 3 at random, what is the probability that everyone in the group is a girl?

Answers

Answer:

Two sevenths

Step-by-step explanation:

Final answer:

To find the probability that everyone in the group is a girl, we use the combination formula to calculate the number of ways to choose a group of 3 from 7 students and the number of ways to choose 3 girls from the 5 available. The probability is 2/7.

Explanation:

To find the probability that everyone in the group is a girl, we need to consider the total number of ways to choose a group of 3 from the 7 students, and the number of ways to choose 3 girls from the 5 available.

The total number of ways to choose a group of 3 from 7 is given by the combination formula, which is:

C(7, 3) = 7! / (3! * (7-3)!) = 35

The number of ways to choose 3 girls from 5 is:

C(5, 3) = 5! / (3! * (5-3)!) = 10

Therefore, the probability that everyone in the group is a girl is:

P(girls) = C(5, 3) / C(7, 3) = 10 / 35 = 2/7

Solve the system by substitution. Show your work. 4 pts 2) -2x - 3 y = -2 y = 2x + 6
Solve the system by elimination. Show your work. 4 pts

3) -x - 18 y = -3
7x - 9 y = 21
please help

I need this before midnight 12/19/2018

Answers

Answer:

2.  x=-2  y= 2

3. x=3 y=0

Step-by-step explanation:

-2x - 3 y = -2

y = 2x + 6

The first step is to get x and y on the same side

Take the second equation and subtract 2x from each side

-2x+ y = 2x-2x + 6

-2x+y = 6

Multiply this by -1

-1(-2x+y) =-1*6

2x -y =-6


Add this to the first equation  to eliminate x

-2x - 3 y = -2

2x -y =-6

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

-4y = -8

Divide by -4

-4y/-4 = -8/-4

y =2

Now we need to find x

y = 2x + 6

Substituting in y=2

2 = 2x+6

Subtract 6 from each side

2-6 = 2x+6-6

-4 = 2x

Divide by 2

-4/2 = 2x/2

-2 =x


3) -x - 18 y = -3

7x - 9 y = 21

We will eliminate by by multiplying the second equation by -2

-2(7x - 9 y) = -2*21

-14x + 18y = -42

Now we will add this to the first equation

-x - 18 y = -3

-14x + 18y = -42

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

-15x    = -45

Divide by -15

-15x/-15 = -45/-15

x =3

We still need to solve for y

-x -18y = -3

Substituting in x =3

-3 -18y = -3

Add 3 to each side

-3+3 -18y =-3+3

-18y =0

Divide by -18

y= 0

Three electrical appliances each have power ratings of 1 7/8 watts, and 2 other appliances each have power ratings of 4 3/4 watts.What is the total power used by these appliances?

Answers

Answer:

11 3/8 watts

Step-by-step explanation:

1 7/8 converts to 1.875

4 3/4 converts to 4.75

4.75 * 2 = 9.5

9.5 + 1.875 = 11.375

11.375 converts to 91/8 or 11 3/8

Given the inequality: m − 11 ≤ 16 or 15 − 2m < −7 Solve for j and graph the solution on a number line. Must show your work to receive full credit. (Equation is the second question in the attached photo)

Answers

Answer:

m ≤ 27  or m > 11

m is all real number since we have the or

Step-by-step explanation:

m − 11 ≤ 16 or 15 − 2m < −7

Lets solve the one on the left first

m − 11 ≤ 16

Add 11 to each side

m-11+11 ≤ 16 +11

m ≤ 27


Now lets solve the one on the right

15 − 2m < −7

Subtract 15 from each side

15 −15- 2m < −7 -15

-2m < -22

Divide by -2, remembering to flip the inequality

-2m/-2 > -22/-2

m > 11

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You have 4 cups of raisins. A recipe calls for 3/8 cup of raisins per serving. How many full servings can you make The image of the butterfly above best represents.. Radial symmetry symmetry niche asymmetry A. What is the sum of the squares of the roots of $x^2 - 5x - 4 = 0$?B. One root of $x^2 + 12x + k = 0$ is twice the other root. Find $k.$C. What is the sum of the roots of the quadratic $4x^2 - 4x - 4$?D. Jimmy is trying to factor the quadratic equation $ax^2 + bx + c = 0.$ He assumes that it will factor in the form\[ax^2 + bx + c = (Ax + B)(Cx + D),\]where $A,$ $B,$ $C,$ and $D$ are integers. If $a = 4,$ and Jimmy wants to find the value of $A,$ what are the possible values he should check, in order to find $A$?E. Brandy is trying to factor the quadratic $3x^2 - x - 10.$ She starts by assuming that the quadratic factors as\[3x^2 - x - 10 = (x + B)(3x + D),\]for some integers $B$ and $D.$ After some work, Brandy successfully factors the quadratic. Find the ordered pair $(B,D).$ Which of the following best describes a command economy? A. Businesses are owned by private investors and businessmen. B. Individuals have the authority to make economic choices. C. The distribution of income is dependent on each individual. D. Economic decision making is made by the state or government Viktor is a Russian university student. He wants to go to New York for a semester to study and improve his English. What should he do before he buys his plane ticket?A. buy a map of New York CityB. pay for his program in New YorkC. apply for a US visaD. apply for a policy waiver A number y is no more than -8 Describe the struggle for the civil rights of African Americans in the fifties and sixties. In your opinion, who was most responsible for the end of segregation in the South, the courts, the federal government or the people?Please Help Me Out!!! This is a 50 point ESSAY... A store is going out of business. Everything is marked down 40%. How much do you pay now for an item that used to cost $150? What do the lines around the finger of the doorknob represent? How much did chinese pay to get to America ? Explain why all circles must be similar. That is, describe a sequence of transformations that will always carries one circle onto another. what are the chances that a cross between a black chicken and white chicken will result in blue offspring? a) 0%b) 25%c) 50%d) 100% 9^-5/9^3 single positive exponent The price of milk tripled, and then rose another $0.75 per gallon. If the price now is AT LEAST $4.50 per gallon, which inequality expresses this situation? A)3x + 0.75 4.5 B)3x + 0.75 4.5 C)3x - 0.75 4.5 D)3(x + 0.75) 4.5 Lee is making cookies. she needs 3/4 cup white sugar and 1 2/4 cups brown sugar for each batch. she makes 2 batches. how many total cups of brown and white sugar does she need Solve for x..Simplify your answer as much as possible. 47=16384 write in logarithmic form Which of the following was true about Eleanor Roosevelt as first lady?A. She had an active public life and promoted reform efforts.B. She arranged for a political alliance with Republicans.C. She opposed the civil rights movement.D. She avoided involving herself in political issues. Chang spent $16 on fruit at the grocery store. He spent a total of $80 at the store. What percentage of the total did he spend on fruit? Why are pollen grains useful when studying the climate history of a region?They may contain the remains of ancient organisms.They may have rings inside them that reflect variations in the local climate.They can be preserved within the fossils of organisms that carry them.They provide clues about the types of plants that grew in a region at a particular time. Steam Workshop Downloader