Below is a graph of p, an insect population, w weeks after it was first measured. The population grows exponentially.
Write an approximate domain and range for this situation.
Write an equation relating p and w.
The range and the domain of the graph are the sets of non-negative real numbers, while the equation relating p and w is [tex]p = 300 * 3^w[/tex]
From the graph, we have the following ordered pairs
(1,900) and (3,8100)
An exponential function is represented as:
[tex]p = ab^w[/tex]
At the point (1,900), we have:
ab = 900
At the point (3,8100), we have:
ab^3 = 8100
Divide both equations
[tex]\frac{ab^3}{ab} = \frac{8100}{900}[/tex]
Evaluate the quotients
[tex]b^2 = 9[/tex]
Take the square roots of both sides
b = 3
Recall that:
ab = 900
So, we have:
3a = 900
Solve for a
a= 300
Hence, the equation is:
[tex]p = 300 * 3^w[/tex]
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A bunny had an infinite number of carrots. A group of bunnies tried to steal those carrots from him. The bunny decided to hide the carrots in a nearby cave. He dug up 100 holes and labeled them from 1 to 100 . Then he stored the carrots in the holes labeled as the multiples of 1 , 2 , 3 , . . . , 50. In other words, he stored a carrot in the holes labeled 1 , 2 , 3 , . . . , 100 . After that he stored a carrot in the holes labeled 2 , 4 , 6...100 . Next, he stored them in holes labeled 3 , 6 , 9 , . . . , 99 . And it went on. When he started storing the carrots in holes labeled as the multiples of 51 , the robbers came and took away all his carrots. How many carrots did he manage to save?
Solve.
x5=−0.92
What is the solution to the equation?
Enter your answer as a decimal in the box.
Answer:
-4.6
Step-by-step explanation:
Given the equation [tex]x5 = -0.92[/tex] isolate [tex]x[/tex] by multiplying 5 in both sides of the equation.
[tex]5\cdot\frac{x}{5} = -0.92\cdot5 \\x = -4.6[/tex]
The forecast for the next five days in Mayaville are listed in the table below. What will the temperature on Saturday have to be in order to have a sum of 0°F for the six days? What is the additive inverse of temperature for the sum of Monday and Thursday?
Five Day Forecast
Monday- 5°F
Tuesday- 7°F
Wednesday- 2°F
Thursday- -2°F
Friday- 0°F
Answer: 0
Step-by-step explanation:
Answer: 0 , hope it helps
4 x 9.4
Pls SOLVE and EXPLAIN how you got this
Pls answer Quickly
Answer:
4 x 9.4 = 37.6Work is in PDF file. Try your best to read.
Step-by-step explanation:
Hoped this helped.
If I have 5 freshly picked apples in good condition and Jimmy takes 2 apples and violently beats them into the ground with a bat, how many apples are still in good condition?
Answer:
3 apples
Step-by-step explanation:
5 freshly picked - 2 apples on the ground= 3 apples are still in good condition
Hope this helps :D!
Use the distributive property to write an expression equivalent to 7(48).
Drag and drop the appropriate number into each box.
__(__+__)
Selections 4, 7, 8, 12, 40, 480
Answer:
7(40+8)
Step-by-step explanation:
!!!!!!!!!!!PLEASE ONLY ANWSER NUMBER 4!!!!!!!!!!!!!!!!! ( 20 points )
Three shipping companies want to compare the mean numbers of deliveries their drivers complete in a day.
The first two shipping companies provided their data from a sample of drivers in a table.
Company C showed its data in a dot plot.
Answer the questions to compare the mean number of deliveries for the three companies.
1. How many drivers did company C use in its sample?
2. What is the MAD for company C's data? Show your work.
3. Which company had the greatest mean number of deliveries?
4. Compare the means for companies A and B. By how many times the MAD do their means differ? Show your work.
Answer:
The means differ by 4 times the MAD.
Step-by-step explanation:
I may be missing something, but this is how I interpret it.
The mean number of deliveries for company A is 6, and the mean for company B is 14. Lastly, the mean absolute deviation (MAD) for both companies is 2.
[tex]14-6=8\\8\div2=4[/tex]
The means differ by 8, and that is 4 times the MAD, so the means differ by 4 times the MAD.
Given the slope and y-intercept of the line, write the equation in slope-intercept form.
URGENT WILL GIVE BRAINLIEST!!
Answer:
[tex]y=3x-5\\y=\frac{5}{6} x\\y=-4x+1[/tex]
Step-by-step explanation:
Slope intercept form:
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept.
With those already given, you need only plug them in to the formula:
[tex]y=3x-5\\y=\frac{5}{6} x+0\\y=-4x+1[/tex]
Answer:
3: y = 3x - 5 4: y = 5/6x 5: -4x + 1
Step-by-step explanation:
I just use y = mx + b
x and y are the coordinates and m is the slope of the line (you could find the slope of a line by using rise over run or (y2 - y1) over (x2 - x1)) The y-intercept or b is the point where the line hits the y axis.
Hope this helps a lot!!!
if all functions are relations, are all relations functions? Explain your answer
Answer:
No, because some relations are not functions. Relations are equations that begin with x=, and let's say x=5.
This is not a function because if you graph this line, it is vertical, and functions can't share the same x coordinate point (input) with other y coordinate points (output). There must be one output for every input, meaning that this relation is not a function.
Step-by-step explanation:
Jane's height to Max's height is in the ratio 4:7. If Max's height is 210cm, what is Jane's height? *
120
4=?
7=210 then cris cross the answer is 120
Suppose that Jane's height is x cm thus we have :
[tex] \frac{x}{210} = \frac{4}{7} \\ [/tex]
[tex]x = \frac{210 \times 4}{7} \\ [/tex]
[tex]x = 120[/tex]
So Jane is 120 cm .
A survey of a group of seventh graders and a group of teachers at a local middle school asked how many siblings they each have. The dot plots below show the results.
Students
A dot plot titled Students. A number line going from 0 to 9 labeled number of siblings. There are 2 dots above 0, 4 above 1, 7 above 2, 5 above 3, 2 above 4, and 0 above 5, 6, 7, 8, and 9.
Teachers
A dot plot titled Teachers. A number line going from 0 to 9 labeled Number of siblings. There is 1 dot above 0, 3 dots above 1, 2 above 2, 4 above 3, 5 above 4, 3 above 5, 1 above 6, 0 above 7, 1 above 8, and 0 above 9.
Based on the shape of the two dot plots, which statements correctly compare them? Select three choices.
Answer:
The answer is A.
Step-by-step explanation:
Hope this helps!
Answer:
A C E
Step-by-step explanation:
edu
Select all the equations that have {4} as its solution set. 5 + 2x = 3x + 37−x=12x79−3x=12x+19x2+3=10x−21
5 + 2x = 3x + 3
7−x=12x
79−3x=12x+19
x2+3=10x−21
Answer:
Option 3 (79−3x=12x+19)
Step-by-step explanation:
When replacing x with 4 you will get the answer 67 = 67, which is true! The other three options are not true when replacing x with 4.
Equations 79-3x=12x+19 and x²+3=10x−21 has the solution set {4}.
Given that, the equations that have {4} as its solution set.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
1) Solution of an equation 5 + 2x = 3x + 3 is
3x-2x=5-3
⇒x=2
2) Solution of an equation 7−x=12x is
7−x=12x
⇒12x+x=7
⇒13x=7
⇒x=7/13
3) Solution of an equation 79−3x=12x+19 is
12x+3x=79-19
⇒15x=60
⇒x=4
4) Solution of an equation x²+3=10x−21 is
x²+3=10x−21
⇒ x²-10x+24=0
⇒ x²-6x-4x+24=0
⇒ x(x-6)-4(x-6)=0
⇒ (x-6)(x-4)=0
⇒ x=6 or 4
Therefore, equations 79-3x=12x+19 and x²+3=10x−21 has the solution set {4}.
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HELLPPP P MEEEEEEE E PLEASEEEEE E
Answer:
Step-by-step explanation:
0.000108990512 m-1
I am supposed to find A and B. Please hurry. Pt.2
Answer:
if im right A is 3 and B is twelve
Step-by-step explanation:
sorry if im wrong
75 apples is shared between Jade and Faith in the ratio 3:2. How many apples does Jade get? *
Answer:
45 and 30
Step-by-step explanation:
75/5 = 15
3x 15= 45
2x 15= 30
Answer: 45:30
Step-by-step explanation: 45 and 30
Rewrite 1/5 barrel 1/2 hour as a unit rate
Unit rate of (1 /5 barrel) / (1/2hour) is equals to (2/5) barrels /hour.
What is unit rate?
"Unit rate is defined as the representation of the ratio of the two different units with value of the denominator equals to 1."
According to the question,
Given,
[tex]\frac{\frac{1}{5} barrel}{\frac{1}{2} hour}[/tex]
⇒ (1 / 2) hour = ( 1/ 5) barrel
⇒ 1 hour = ( 2 / 5) barrel
⇒( 2 / 5) barrel per 1 hour
Therefore,
Unit rate of given value is rewritten as
[tex]\frac{2}{5}[/tex] barrel / hour
Hence, Option(B) is the correct answer.
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A TV has an original price of $499. Find the new price given a 10% increase.
Answer: $548.9
Step-by-step explanation:
To find the next price you have to find 10% of the original price then add it. You can find the increase by dividing 499 by 10 to get 10%.
499 divided by 10 = 49.9
Now add the increase to the original price for your answer!
499 + 49.9 = $548.9
12∙(40-39)+2
A. 18
B. 14
C. 24
D. 30
Answer:
B.14
Step-by-step explanation:
Answer:
B. 14
Step-by-step explanation:
(40-39)= 1
12*1+2=14
WILL MARK BRAINLIEST IF CORRECT!!!!
Determine whether the following statement is true or false. Give an example or counterexample to justify your answer.
ALL BINOMIALS THAT HAVE A PERFECT SQUARE IN EACH OF THE TWO TERMS CAN BE FACTORED.
pls answer correct, I will also give a 5 star rating and a thanks on ur answer
Answer:
the greatest commen factor
Step-by-step explanation:
Though many different types of expressions can be classified as binomials, not all of them can be factored. In order to be factorable, a binomial has to have a difference of two squares, a difference of cubes, a sum of cubes, or a greatest common factor
To rent a certain meeting room, a college charges a reservation fee of $19 and an additional fee of $4 per hour. The chemistry club wants to spend at most $47 on renting the room. What are the possible numbers of hours the chemistry club could rent the meeting room?
Answer:
The possible number of hours the chemistry club can rent the meeting room is 7 hours.
Step-by-step explanation:
h=hours
19+4h=47
Subtract 19 from both sides of the equation.
4h=28
Divide 4 from both sides of the equation.
h=7
The possible number of hours the chemistry club can rent the meeting room is 7 hours.
Hope this helps :)
Answer:
7 hours
Step-by-step explanation:
There is $47 total dollars. The reservation fee is $19 dollars. Subtract the two:
47-19= 28 dollars
Now the per hour fee is 4 dollars an hour. And you have 28 hours. So divide the two to get maximum hours:
28/4=7 hours
An item is regularly priced at $65. It is now priced at a discount of 40% off the regular price. What is the price now?
help me out lord, help me fooks !
Step-by-step explanation:
V=Bh
V=πr²h
=π(9in)² (4in)
=π(81²) (4)
=81 x 4 = 324 π³
= 324(3.14)in³
multiply 324 x 3.14
= 1017.36 in³
What is the volume of each small cube? And what is the volume of the right rectangular prism.
Answer:
Cube = 1/64 in³
Rectangular Prism = 84 3/8 in³
Step-by-step explanation:
Volume of Each Small Cube = (1/4)³ = 1/64 in
Volume of the Rectangular Prism = 4.5 x 5 x 3.75 = 84.375 = 84 3/8
-Chetan K
Answer:
Answer:
Cube = 1/64 in³
Rectangular Prism = 84 3/8 in³
Step-by-step explanation:
You multiply length x width x height of each.
1/4 x 1/4 x 1/4 = 1/64
Multiply all three numbers in the larger one as well
Sammy runs 100 meters in 15.03 seconds.
a. If Sammy runs at a constant speed, how far does he run in one second? Round to the nearest tenth.
b.What are you doing when you divide decimal numbers (divisor and dividend changes)
c.Place a decimal point in the divisor and decimal to create a new problem with the same answer as (a)
Answer:
A. Is 7
Step-by-step explanation:
Calculate each numbered angle measure.
Answer:
m1 = 90°
m2 = 68°
m3 = 112°
m4 = 112°
m5 = 68°
m6 = 44°
m7 = 112°
m8 = 112°
Concept used:
- The sum of the internal angles of a triangle is 180
- With two parallel line and one oblique, the angles internal and opposite are congruent (ex: m3 and m4)
- An isosceles triangle has the base angles congruent
Step-by-step explanation:
m1 is a rectangle angle
m2 is 180-m1-22
m3 is 180-m2
m5 is 180-m4
m6 is 180-m5-m5
m3 = m4 = m7 = m8
All the dimensions of a cuboid are whole numbers, and its volume is 24 units^3. Which one of the following could NOT be one of its dimensions?
A.) 3
B.) 4
C.) 5
D.) 6
First Person who gets it right and EXPLAINS will get branliest! :-)
5 is the answer.
Review:What is a cuboid?
A cuboid is a rectangle, but in 3D form.
Do we calculate area or volume in a cuboid?
We calculate the volume for 3D shapes. For 2D shapes, area is used.
If/Then:
Now, if the volume of the cuboid is 24 units³ then:
x × x × y
Now, lets fit all our options to see which one is NOT the dimensions.
Option A:
x × x × 3 = 24 units³
x × x = 12 units³ ✔
This is possible.
Option B:
x × x × 4 = 24 units³
=> x × x = 6 units³ ✔
This is possible.
Option C:
x × x × 5 = 24 units³
=> x × x = 24/5 units³ ❌
This is not possible. This will be our answer.
Option D:
x × x × 6 = 24 units³
=> x × x = 4 units³✔
This is possible.
Conclusion:
So after working on our problem, we can conclude that C is our answer. Hoped this helped.
solve the proportion
Answer:
3. m= -15
4. x= 9
Step-by-step explanation:
3. Cross multiply: -6m=90
Solve: m= -15
4. Cross multiply: 7x+7=10x-20
Solve: x=9
Step-by-step explanation:
Here,
-m=10*9/6
or,-m=90/60
or,-m=15
or,-m=-(-15)
and, m=-15
2
Here,
(x+1)*7=(x-2)*10
or,7x+7=10x-20
or,7+20=3x
or,x=27/3
therefore, x=9ans
Help pleeeeeeaseeeeee
Answer: 1# (x > 3) 2# (n > -27) 3# (d > 2) 4# (r > -5) 5# (a < -4) 6# (x < 1)
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
what is the area of the trapezoid
Answer:
a+b
h 2
Step-by-step explanation: