Answer:
[tex] 320 = 10 (2)^{t/60}[/tex]
If we divide both sides by 10 we got:
[tex] 32 = 2^{t/60}[/tex]
We can apply natural log on both sides and we got:
[tex] ln (32) = \frac{t}{60} ln(2) [/tex]
And solving the value of t we got:
[tex] t = 60 \frac{ln(32)}{ln(2)}= 300[/tex]
So then we can conclude that after t = 300 days we will have approximately 320 rabbits
Step-by-step explanation:
For this case we have the following function:
[tex] P(t) = 10 (2)^{t/60}[/tex]
Where P is the population of rabbis on day t. And for this case we want to find the value of t when P =320 so we can set up the following equation:
[tex] 320 = 10 (2)^{t/60}[/tex]
If we divide both sides by 10 we got:
[tex] 32 = 2^{t/60}[/tex]
We can apply natural log on both sides and we got:
[tex] ln (32) = \frac{t}{60} ln(2) [/tex]
And solving the value of t we got:
[tex] t = 60 \frac{ln(32)}{ln(2)}= 300[/tex]
So then we can conclude that after t = 300 days we will have approximately 320 rabbits
a. Two local supermarkets sell watermelons grown at McDowell's
farm. But Biggy Market sells their watermelons for $3.99 each,
regardless of size, whereas Harmless Trail Market sells their
watermelons for $0.19 per pound. For what weight will a
watermelon at Harmless Trail cost the same as any watermelon at
Biggy? If the largest watermelon grown at McDowell's farm
weighs 18 pounds, at which place should you buy your
watermelons?
Answer:
For the watermelon at Harmless to cost the same as any watermelon at Biggy, the watermelon needs to be 21 pounds.
You should buy your watermelon at Harmless.
Step-by-step explanation:
1. So in order to figure out the number of pounds, you need to divide 3.99 by 0.19 which should give u 21 pounds.
2. So in order to figure out where u should buy the watermelon from, u have to do 18 pounds times $0.19 which should give u $3.42 at Harmless while at Biggy it would cost $3.99
Three is what percent of 600
Answer:
0.5.
Step-by-step explanation:
Find the square root of 200 up to two decimals
Answer:
Erm
Step-by-step explanation:
14.14
50pts
Kadesha says that the triangles represent a translation. On a coordinate plane, triangle A B C has points (1, negative 1), (1, negative 4), (4, negative 4). Triangle A prime B prime C prime has points (1, 5), (1, 1), and (4, 1). Which explains whether Kadesha is correct?
A) Kadesha is correct because triangle ABC is the pre-image and triangle A prime B prime C prime is the image.
B) Kadesha is correct because each point in triangle ABC moves five units up.
C) Kadesha is not correct because the number of units between points A and B is different than those between points A primeand B prime.
D) Kadesha is not correct because a translation is a horizontal movement.
Answer: Option C is most Appropriate.
C) Kadesha is not correct because the number of units between points A and B is different than those between points A primeand B prime.
Step-by-step explanation:
Coordinates of vertices of ΔABC are =A(1,-1), B(1,-4),C(4,-4)
Coordinates of vertices of ΔA'B'C' are =A'(1,5), B'(1,1),C(4,1)
Suppose, Preimage =ΔABC
Image =ΔA'B'C'
If you will find distance between two vertices of Both the triangles or length of sides of triangles
Kadesha is not correct because the number of units between points A and B is different than those between points A prime and B prime. Option (C) is the correct answer.
What is a graph?"A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The points on the graph often represent the relationship between two or more things".
For the given situation,
The triangle ABC has points A(1,-1), B(1,-4), C(4,-4)
The triangle A'B'C' has points A'(1,5), B'(1,1), C'(4,1)
Plot these two triangles in the graph as shown below.
The graph shows the relation between the triangle ABC and A'B'C'.
Both the triangles are separated by different units and are not images of one another.
Hence we can conclude that Kadesha is not correct because the number of units between points A and B is different than those between points A prime and B prime. Option (C) is the correct answer.
Learn more about graphs here
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Solve the system of equations by the substitution method.
x+y=4
y=-3x
Answer:
X= -2 Y=6
Step-by-step explanation:
Answer:
x= -2 y=6
Step-by-step explanation:
-2+6=4
6=-3 x -2
Natalie has $250 in savings. At the end of 6 months, she has $450 in savings. What is the percent increase in the amount of her savings?
80 percent. 80 percent of 250 is 200 and 250 increased by a total of 200 therefore 80%
Answer: 80%
Step-by-step explanation:
Rule of 3.
Let's put the money on the left side and the percents on the right side.
[tex]\frac{250}{450}=\frac{100}{x}[/tex]
Solve for x:
[tex]x=\frac{450*100}{250}[/tex]
[tex]x=180[/tex]
Subtract 100 from 180
180-100=80
The frame of the given window is made
of a rectangle with semi-circular top.
Find its perimeter and area.
2.1 m
1.4 m
Answer:
3.7096902=area
Step-by-step explanation:
2.1x1.4=2.94m^2
2.94+(.5pi(.7^2))
what is 7/4 - (-1/4)
Answer:
2
Step-by-step explanation:
7/4 - (-1/4)
Subtracting a negative is adding
7/4 + 1/4
8/4
Simplifying
2
1: which equation represents a linear function? a y= 4 x +1 b y=x2+2 c y=3 √ x+1 d y=- 2 3 x- 1 2
Answer: A
Step-by-step explanation:
a.) [tex]y=4x+1[/tex]
b.)[tex]y=x^2+2[/tex]
c.)[tex]y=3\sqrt{x+1}[/tex]
d.)[tex]y=-2(3x-1)^2[/tex]
choices b and d are quadratic
choice c is a square root function
so the answer is a
let me know if i types the answers incorrectly
The local recycling center sends a truck to the school once a month to collect the paper that was recycled. Each month, the truck picks up 642.3 pounds of paper. How much would the truck pick up after 3 months? __
Answer: 1,926.9
Explain: If you ever come across a question that asks you how much a number would be after 2, 3, 4, 5, and so on. All you have to do is multiply that first number with the second.
Example: if the gardener collects 20 carrots a week. How many carrots did the gardener collect in a span of 5 weeks?
Simply just multiply 20 x 5 = 100.
WILL GIVE BRAINLIEST PLEASE HELP!
Answer:
A. is 5. B. is 1.C. is 4.D. is 2.E. is 3.F. is 6.Step-by-step explanation:
Slope is rise over run.
For example, 2 is equivalent to 2/2 so you find the graph that has a point at (2, 2).
Hope this helps :D
Cross multiplication method, find the value z and y for 3x + 5y = 70 and 7x-3y =60
Answer:
Y=7.05
X= 11.6
Step-by-step explanation:
Equate both equations to zero
3x+5y=70--------equation 1
7x-3y=60---------equation 2
From the equation above
a1=3, b1=5, c1=-70
a2=7, b2= -3, c2=-60
By applying the cross multiplication method
x/b1c2-b2c1= y/a2c1-a1c2= 1/a1b2-a2b1
x/(5)(-60)-(-3)(-70)=y/(7)(-70)-(3)(-60)=1/(3)(-3)-(7)(5)
x/-300-(-210)=y/-490-(-180)=1/-9(-35)
x/-510=y/-310=1/-44
x/-510=1/-44 , y/-310=1/-44
-44x=-510 , -44y= -310
x=11.6 , y=7.05
Thus, the value of x is 11.6 and the value of y is 7.05
Which is the most efficient first step to solve for x in the equation 3.7 x minus 18 = negative 4.3 x minus 3
First, you need to isolate the variable so you can solve the equation. You can move the number to the other side of the equal sign as long as you switch the sign (-/+) So your equation will look like this :
3.7x+4.3x-18=-3
Next, take the 18 and switch is so it will be with the 3:
3.7x+4.3x=-3+18
Now that like terms (variables with variables and regular numbers with regular numbers) you can solve:
8x=15
x=15/8
Hope this helps, and sorry if I did the work wrong but the directions are 100% right!
Answer:
c
Step-by-step explanation:
First, you need to isolate the variable so you can solve the equation. You can move the number to the other side of the equal sign as long as you switch the sign (-/+) So your equation will look like this :
3.7x+4.3x-18=-3
Next, take the 18 and switch is so it will be with the 3:
3.7x+4.3x=-3+18
Now that like terms (variables with variables and regular numbers with regular numbers) you can solve:
8x=15
x=15/8
Hope this helps, and sorry if I did the work wrong but the directions are 100% right! :)
A cylinder has a base radius of 4m and a height of 6m. What is its volume in cubic m,
to the nearest tenths place?
Answer:
301.4
Step-by-step explanation:
Volume of a cylinder=pi*[tex]r^{2}[/tex]*h. Assuming you want 3.14 for pi, we can substitue the 4m for r, 6 for h and 3.14 for pi.
V=3.14*[tex]4^{2}[/tex]*6
V=301.44
Since you want to round to nearest tenths, the answer is 301.4
The volume of the cylinder with the given value of radius and height to the nearest tenth place is 301.4 cubic meters.
What is a cylinder?A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.
The volume of a cylinder is expressed as;
V = π × r² × h
Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )
Given the data in the question;
Radius r = 4mHeight h = 6mVolume of the cylinder V = ?We substitute our values into the expression above.
V = π × r² × h
V = 3.14 × (4m)² × 6m
V = 3.14 × 16m² × 6m
V = 301.4m³
The volume of the cylinder with the given value of radius and height to the nearest tenth place is 301.4 cubic meters.
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On Friday,2,364 cars parked in the garage at the mall. On Sunday 2,455 more cars parked In the garage than on Friday. How many cars parked in the garage during the two days?
Answer:
7183 cars
Step-by-step explanation:
On Friday, 2364 cars parked in the garage.
On Sunday, 2,455 more cars parked In the garage than on Friday.
This means that the number of cars parked on Sunday is 2455 plus the number of cars parked on Friday, that is:
2455 + 2364 = 4819 cars
Therefore, the number of cars parked in the garage in the two days is:
4819 + 2364 = 7183 cars
7183 cars were parked during the two days.
Two children are playing a code-breaking game. One child makes a sequence of three colors from red, yellow, blue, and purple. The other child must guess the sequence of colors in the correct order. Once one color is used, it cannot be repeated in the sequence.
What is the probability that the sequence is guessed on the first try?
StartFraction 1 Over 24 EndFraction
One-eighth
One-fourth
One-third
Answer:
1/24
Step-by-step explanation:
i just took it
The probability that the sequence is guessed on the first try is 1/24.
ProbabilityTotal colors available for making code=4
Colors required for making code=3
Hence:
Total ways of making code=4p3=4!/(4-3)!
=4×3×2×1/1
=24
Probability that the sequence is guessed on the first try=1/Total ways of making code
Probability that the sequence is guessed on the first try=1/24
Therefore the correct option is A.
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Lila has gained a lot of weight recently she works out and watches her intake but she's still gaining weight when she visited the doctor she told her that she had a problem with one of her endocrine glands which gland would most likely have a tissue with maintaining the breakdown of foods
Answer:
The Pancreatic gland is the gland responsible for maintaining the breakdown of foods in the body.
Step-by-step explanation:
The pancreatic gland can function as an endocrine gland, which is responsible for the secretion of glucagon and insulin. These two enzymes are responsible for the maintaining of the glucose levels of the body.
The insulin in Lila's body is meant to reduce her blood sugar, by helping the cells to be able to absorb the glucose, and use it as energy to drive her exercise and her daily routines. However, if there is a problem with the pancreas, the glucose will just be in the blood stream, without getting to the cells and Lila will keep on feeling hungry all the time. This is probably why she will keep on gaining weight.
Answer:
A. The thyroid
Step-by-step explanation:
Searched it up...
A cone with height of 6 feet and volume of 86 feet cubed.
Answer the questions to find the base area of the cone.
Which equation substitutes the given values into the formula for the corresponding variables
Answer:
The formula is 86=1/3B (6)
The base area is 43.00 square feet
Step-by-step explanation:
V is 86 so that goes in spot, hv to divide 1/3 and hv to find B so last spot is putting in height which is 6. That makes equation
Solving equation
86=(1/3) B(6)
Divide 6 by 1/3
(3/1) 1/3 = 6 (3/1)
86 = 2pi *
43.00 square feet
Im not sure if the solving part of the equation is completely correct, but answers for both are correct. C;
Answer:
both of the answers are C
Step-by-step explanation:
What term must we add to complete the square on x^2 + 12x
Answer:
Step-by-step explanation:
You need to first find what x equals before you can solve the equation.
Answer:
36
Step-by-step explanation:
x^2+2xy+y^2
12x/2x=6=y
y^2=36
these 15 colored pencils make up 20% of jordon's colored pencil collection.how many colored pencils does jordon have in his collections
Answer:
75 coloured pencils
Step-by-step explanation:
Let's say Jordon has x total pencils.
We know that 20% of these x pencils is 15, so we have:
20% * x = 15
Remember that % is just "out of 100", so 20% = 20/100 = 0.20. Then:
0.20x = 15
x = 15 / 0.20 = 75
Jordon has 75 coloured pencils.
Answer:
75 pencils
Step-by-step explanation:
Let the total no. of pencils be T
20% of T = 15
20/100 × T = 15
T = 15 × 100/20
T = 15 × 5
T = 75
How does the graph change between point A and point C?
D
The graph increases, then decreases.
The graph decreases, then remains constant
The graph decreases, then increases.
The graph increases, then remains constant
Answer:
d
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Got 100% on a quiz
A baker has 88 muffins. He fills large boxes that hold 9 muffins each.Then, he puts the leftover muffins in a small box. How many muffins are in the small box.
Answer:
7
Step-by-step explanation:
Please answer multiple choice
Answer:
A. 54.09
Step-by-step explanation:
cos (angle) = Adjacent/Hypotenuse
cos (75) = 14/x
x= 14/cos (75)
x=54.09
Answer:
its A
Step-by-step explanation:
What is the value of n? 20 points!
Answer:
5 only
Step-by-step explanation:
its the absolute value
Find the area
Please help me thank you!
Answer:
area = 12
Step-by-step explanation:
Which solution is possible: 7+x <19
x=4
x=12
x=13
x=19
Other:
Answer:
x = 4
Step-by-step explanation:
Note that it is only less than, not less than or equal too. Numbers that are 11 & less are the only ones that work.
x = 4 is your only answer choice that is less than 11, therefore is your only answer.
~
Answer:
none of the above, you need a lesser number
A theater wants to build movable steps that they can use to go on and off the stage. They want the steps to have enough space inside so they can also be used to store props.
Answer:no the answer is 0.045 m3
0, point, 045, start text, space, m, end text, cubed
Step-by-step explanation:
An angle measures 39.2° less than the measure of its complementary angle. What is the measure of each angle?
Answer: The measures of the angles are 64.6 degrees and 25.4 degrees.
Step-by-step explanation:
Complementary angles add up to 90 degrees.
x can be one angle, and (x-39.2) can be the other
x + (x-39.2) = 90
2x - 39.2 = 90
add 39.2 to both sides
2x = 129.2
divide each side by 2
x = 64.6
find the measure of the other angle
64.6-39.2 = 25.4
The measures of the angles are 64.6 degrees and 25.4 degrees.
Answer:
25.4 and 64.6Step-by-step explanation:
Suppose two complementary angles of measures x And y then
x + y = 90 and y = x - 39.2
if we plug in x - 39.2 instead of y in the equation x + y = 90 we get :
x + (x - 39.2) = 90
then
2x = 90 + 39.2
then
2x = 129.2
then
x = 129.2/2 = 64.6
therefore
y = 64.6 - 39.2
= 25.4
______________________________
:)
Which is closest to the area of the shaded region in the figure, in
square units?
Answer:
Where is the picture?
Step-by-step explanation:
6-129. Nick represented the equation 3(2x+4)=-6 on the Equation Mat below. Choose a strategy to solve for x. You may continue to use algebra tiles, or you may use symbols on paper.
Answer:
x = -3
Step-by-step explanation:
You have the following equation:
[tex]3(2x+4)=-6\\[/tex]
you first you distribution property in order to eliminate the parenthesis:
[tex]3*2x+3*4=-6\\\\6x+12=-6[/tex]
next, you subtract 12 in both sides of the equation:
[tex]6x+12-12=-6-12\\\\6x=-18[/tex]
Finally, you divide the equation by 6 and simplify:
[tex]\frac{6x}{6}=-\frac{18}{6}\\\\x=-3[/tex]
hence, the solution to the equation is x = -3
