Question:
A population of insects, in thousands, can be modeled using the function
[tex]p(t) = 1.75(0.97)^t[/tex], where t is time in months. Which statement best
describes the population of insects?
A. The population is decaying at a rate of 3% each month.
B. The population is decaying at a rate of 25% each month.
C. The population is growing at a rate of 75% each month.
D. The population is growing at a rate of 97% each month.
Answer:
A. The population is decaying at a rate of 3% each month.
Step-by-step explanation:
Given
[tex]p(t) = 1.75(0.97)^t[/tex]
Required
True statement about the function
From the options, we can see that we are to answer the question on the basis of decay and growing rates.
An exponential form is:
[tex]y=ab^x[/tex]
Compare to [tex]p(t) = 1.75(0.97)^t[/tex]
[tex]b= 0.97\\[/tex]
If [tex]b > 1[/tex], then [tex]b = 1 + r[/tex] r represents growth rate
else, [tex]b= 1-r[/tex] r represents decay rate
Since b < 0.97:
[tex]0.97= 1-r[/tex]
[tex]r = 1 - 0.97[/tex]
[tex]r = 0.03[/tex]
[tex]r = 3\%[/tex]
[tex]r = 0.03[/tex]
Problem Find the midpoint between the following points using the Midpoint Formula 11113 91492). 2 Solution 1. Given: (-10, 2) and (3,5), the midpoint is ( Berg 2. Given: (3,6) and (7,6) the midpoint is ( BRARIES ) B. RE
Answer:
Step-by-step explanation:
1) (-10,2) ; (3,5)
[tex]Midpoint= (\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2})\\\\=(\frac{-10 +3 }{2}, \frac{2+5}{2})\\\\=(\frac{-7}{2},\frac{7}{2})\\\\=(-3.5, 3.5)[/tex]
2) (3,6) ; (7,6)
[tex]Midpoint= (\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2})\\\\=(\frac{3+7 }{2}, \frac{6+6}{2})\\\\=(\frac{10}{2},\frac{12}{2})\\\\=(5, 6)[/tex]
What's the answer to x^2-6x-8?
Answer:
0
Step-by-step explanation:
(x-4)(x-2)=0
If any individual factor on the left side of the equation is equal to 0
the entire expression will be equal to 0
Set the first factor equal to 0 and solve
x=4
The final solution is all the values that make
(x-4)(x-2)=0
x=4,2
Mrs. Hazen bought 4 1/2 pounds of bananas to make a banana cream pie. There are 16 ounces in a pound. How many ounces of bananas did Mrs. Hazen purchase?
Answer:
72 ounces of bananas
Answer:
72
Step-by-step explanation:
4.5 ties 16 = 72
explain how you can use absolute value to tell whether the fisherman or the end of his fishing line is farther from the surface of the water.
Answer:
So the answer is in your thoughts and also in your mind so therefor the answer is the fisherman is more farther away just by looking at him
Step-by-step explanation:
Answer:
The fisherman is farther away from the surface of water.
Step-by-step explanation:
So first of all, we know by looking at it that fisherman is farther away, but we need to use absolute value.
What is the absolute value of -12? 12.
That way, you can easily compare 16 and |-12|!
I hope this helped!
Please hurry and tell me the answer.
Petra has 6 (FT) ribbons. She wants to make 8 bows that are exactly, the same and use all of her ribbon.
Answer:
A is correct
Step-by-step explanation:
Answer:
The answer is C
Step-by-step explanation:
i have no idea where to plot the points
Answer:
1/4 is slope\
Step-by-step explanation:
A triangular sail has a base length of 3 meters. The area of the sail is 12 square meters. How tall is the sail
Answer: 4
Step-by-step explanation: Length times width times height so you have to do 12 divided by 3 and you get 4
Storage units are numbered 1 through 50. What is the probability that the operator will choose a unit that is not a multiple of 8?
Answer:
22/25
Step-by-step explanation:
Multiples of 8 betwen 1 - 50 =
8
16
24
32
40
48
there are 6 multiples of 8
Numbers that are not multiples of 8 = 50 - 6 = 44
Probability the operator will choose a unit that is not a multiple of 8 = 44/50
Expressing in simpler terms = 22/25
HELP ME PLEASE!!,I WILL GIVE BRAINLIEST!!
Answer:
The answer is C.
Step-by-step explanation:
So reduce the expression with √3.
So you're left with 50/√2 • 80√5
So you multiply it.
4000√5/√2
Rationalize the denominator
2000√10
Answer:
The answer is C!
Step-by-step explanation:
Ecuación:
15 + 3x = 21 - x
Y una explicación por favor. Gracias.
(No respondan con un enlace a otra pagina, solo en un texto o una imagen dentro de la página)
Paul is growing a rectangular rose garden. His area is 5x2+ 8x +3. What are the dimensions of his rectangle?
Answer:
[tex]Length = 5x + 3[/tex]
[tex]Width = x +1[/tex]
Step-by-step explanation:
Given
[tex]Area = 5x^2 + 8x + 3[/tex]
Required
Determine the dimensions
To do this, we simply factorize the given expression.
[tex]Area = 5x^2 + 8x + 3[/tex]
Expand
[tex]Area = 5x^2 + 5x +3x+ 3[/tex]
Factorize
[tex]Area = 5x(x + 1) +3(x+ 1)[/tex]
Factor out x + 1
[tex]Area = (5x +3) (x+ 1)[/tex]
Area is calculated as:
[tex]Area = Length * Width[/tex]
So:
[tex]Length = 5x + 3[/tex]
[tex]Width = x +1[/tex]
Find X .Round your answer to the nearest tenth of a degree.
Answer:
Step-by-step explanation:
With reference angle x
perpendicular (p) = 11
hypotenuse (h) = 18
Now
sin x = p / h
sin x = 11 / 18
x = sin ^-1( 11/ 18)
x = 37.66
x = 37.7
Awnser: 37.7
Sin: Oppostie/Hypotonuse
11/18=sin(x)
sin^-1(11/18)= 37.6698...
How do I solve this?
-1/3+y=1
Answer:
y=-3
Step-by-step explanation:
.....................
Answer to equation:
y = 1 1/3
Step-by-step explanation:
for this problem we see that we are starting below 0 and going up to one, all we have to do is solve for the distance between the two numbers, as shown
(-1/3) + 1/3 = 0
0 + 1 = 1
now to simplify, we just add the total amount of change between the two numbers
1/3 + 1 = 1 1/3
NOTE: this can be done by just adding the absolute value of each number if one is a negative number and one is a positive number, wich is basically what i did
-1/3 = |1/3|
1 = |1|
|1/3| + |1| = |1 1/3| or total amount of change
but if you are working with two positive or two negative numbers, then subtract the lesser of the two absolute values as so
-2 + x = -5
-2 = |2|
-5 = |5|
|5| - |2| = |3|
3 = amount of change
3 = x
-2 + -3 = -5
Charles buys 10 drinks and 3 sandwiches for $34. Isabel buys 5 drinks and 4
sandwiches for $37. They want to determine the cost of each item.
Write a system of linear equations to model the problem. Let d equal the cost
of each drink and let s equal the cost of each sandwich. Solve the system
algebraically. How much does each item cost?
I need here too please
Answer:
The answer is false.
Step-by-step explanation:
Pls help me ASAP and explain and show your working of this question
-5 = 53
-1 = 13
0 = 3
1= -7
Step-by-step explanation:
Not sure if this is right, but all I did was plugged -10 X + 3 into the Y = on my calculator and then graphed and checked the table, I looked at the x value and then the Y.
Step-by-step explanation:
given equation :- y = -10x + 3
1)when x = -5
y = -10x + 3
y = -10 (-5) + 3
= 50 + 3
= 53
2)when x = -1
y = -10x + 3
y = -10(-1) + 3
= 10 + 3
= 13
3) when x = 0
y = -10x + 3
y = -10(0) +3
= 0+ 3
= 3
4) when x = 1
y = -10x + 3
y = -10(1) +3
= -10 + 3
= -7
You earn $44.55 in 9 hours. Your friend earns $51.00 in 12 hours. How much do you AND your friend earn in 20 hours? HINT- You need to calculate how much you both make in 1 hour first! 1 point
Answer:
I earn $99. my friend earns $85. We both earn $184
Step-by-step explanation:
Steps
Find the amount earned per hour for each friend multiply the value gotten by 20 hours Add the amountAmount i earn per hour = 44.55 / 9 = $4.95
Amount my friend earns = 51 /12 = $4.25
Amount earned in 20 hours
4.95 x 20 = 99
4.25 x 20 = 85
(A) 2.4 cm
(B) 4.8 cm
(C) 1.8 cm
(D) 3.6 cm
Answer:
(D)3.6 cm esa es amigo buen dia
If John's present age is 3x years and Jane is twice his age, what will be the
sum of their ages in 5 years' time? *
Answer:
i think its 30x
Step-by-step explanation:
3x2=6
6x5=30
Answer:
9x+10
Step-by-step explanation:
JOHN=3X JANE=6X THEIR COMBINED AGE IN 5 YEARS WILL BE 3X+5+6X+5 OT 9X+10
There were 35 foxes with socks sitting on some boxes. How many socks
were there altogether. (Remember a fox has 4 feet)
Answer:
140 socks or 70 pair of socks
Step-by-step explanation:
35 x 4 = 140
Answer:
140
Step-by-step explanation:
35 times 4 is 140
Can you help? I'll give brainliest
Answer:
w=2 3/4
Step-by-step explanation:
Solve using the quadratic formula. x^2−10x+23=0
Answer:
x = 5 ± √ 2
Step-by-step explanation:
ill give brainliest if it's right
Find the common difference of the arithmetic sequence -11, -16, -21,...−11,−16,−21,...
Answer:
-5 is the common difference.
Step-by-step explanation:
Answer:
...... ignor this
Step-by-step explanation:
.. sjodnaknd sorry
Find the area of the hexagon. i will mark brainliest and pls explain.
Answer:
C. 150√3Step-by-step explanation:
Radius of the inscribed circle is the apothem of the hexagon.
Apothem (a) and half of the side (s) make a 30-60-90 right triangle.
The ratio of the legs, as per property of 30-60-90 triangle:
s : a = 1 : √3 ⇒ s : 5√3 = 1 : √3 ⇒ s = 5Half the side is s = 5 units, then side of the hexagon is 10 units.
The area of the hexagon:
A = 1/2Pa, P- perimeter, a- apothemA = 1/2(6*10)*(5√3) = 150√3Correct choice is C
Pretend a neighbor reported Chang-bo and Oak-hee's conversation to the North Korean government. What happens next? Use the story as your reference. Make sure to include or begin at the climax (turning point) of the story. Develop the climax into the falling action. Finally, write a conclusion to "Nothing to Envy". Does the story have a good ending or a bad ending? Make sure to write at least 10 sentences. You will be graded on creativity, grammar, and elements of plot.
He tells the government his opinion and then multiple army tanks come and blast him, bad ending.
What is z4 + z4 + z4 + z4?
Answer:
4z
Step-by-step explanation:
A cylinder has a radius of 6 meters. Its volume is 180 pi. cubic meters.
Find the height of the cylinder. *
Answer:
h = 5
Step-by-step explanation:
Formula for volume of a cylinder:
V = πr²h
r = 6
V = 180π
V = πr²h
180π = π6²h
180π = 36πh
(180π)/(36π) = h
h = (180)/(36)
h = 5
Answer:
yeet
Step-by-step explanation:
yeet thanks for the points scrub
4.
Your math test has 38 questions and is worth 200 points. The test consists
of multiple-choice questions worth 4 points each and open-ended questions
worth 20 points each. How many of each type of question are there?
... please solve this using if systems of equations
Answer:
Number of multiple-choice questions = x = 35 questions
Number of open-ended questions = y = 3 questions
Step-by-step explanation:
Let
Number of multiple-choice questions = x
Number of open-ended questions = y
x + y = 38 (1)
4x + 20y = 200 (2)
From (1)
x = 38 - y
Substitute x = 38 - y into (2)
4x + 20y = 200
4(38 - y) + 20y = 200
152 - 4y + 20y = 200
- 4y + 20y = 200 - 152
16y = 48
y = 48/16
y = 3
Substitute y = 3 into (1)
x + y = 38
x + 3 = 38
x = 38 - 3
x = 35
Number of multiple-choice questions = x = 35 questions
Number of open-ended questions = y = 3 questions
what is the area of the following shape
Answer:
i think you multiply them i could be mistaken
Lincoln High School earned $5,100 in ticket sales for a play. The cost per ticket was 12$. Let t represent the number of tickets sold to the play. Which of the following equations could be used to determine how many tickets were sold to the play
Answer:5100 divided by 12=425
Step-by-step explanation: