Complete Question
The Hollywood cats are a group of cats that have settled in along the Hollywood Beach in Florida. A group of volunteers feed them and care for them while trying to humanely reduce their numbers (as they are considered a nuisance). If there were 100 cats in the year 2012 and the rate of population change is given
by [tex]-\frac{1}{4} t-2[/tex]
where t is measured in years, how many cats are projected to be in the group in 2020.
Answer:
The number of total cats left after 8 years T
[tex]T=76[/tex]
Step-by-step explanation:
From the question we are told that
Number of cats 2012 n=100
Number of years t=2012-2020=>8 years
Generally the equation of change in population is mathematically Given as
[tex]\frac{dp}{dt}= -\frac{1}{4} t-2[/tex]
[tex]\int dp=\int_0^8 (-\frac{1}{4} t-2)[/tex]
[tex]p=\frac{-64}{8} -16[/tex]
[tex]p=-24cats[/tex]
Therefore the number of total cats left after 8 years T is given as
[tex]T=100-24[/tex]
[tex]T=76[/tex]
What is the area of Rectangle PQRS in the xy-coordinate plane below?
Answer:
Area of Rectangle PQRS = 12
Step-by-step explanation:
P.S - The exact question is -
Given -
P = (2, 2)
Q = (6, 2)
R = (6, 5)
S = (2, 5)
The graph is as follows :
As we know that Area of Rectangle = Length × Breadth
Here Length of Rectangle = PQ
Breadth of Rectangle = PS
⇒ Area of Rectangle PQRS = PQ×PS = 4×3 = 12
x + 11 < 6
Solve and graph on a number line
Answer & Step-by-step explanation:
So I can't exactly graph exactly, but I'll try...
To solve:
x+11<6 Subtract 11 on both sides.
x<-5
To graph:
<-------|---------o---------|-------->
-6 -5 -4
(The bolded part of the line is the side you shade the graph on. In case you can't see it, you have to shade the left side of the open circle.)
Hope this helps! Have an awesome day ( • ω • )^
The total cost, in dollars, to order x units of a certain product is modeled by C(x)=5x²+320 . According to the model, for what size order is the cost per unit a minimum?
A) An order of 1 unit has a minimum cost per unit.
B) An order of 8 units has a minimum cost per unit.
C) An order of 80 units has a minimum cost per unit.
D) An order of 320 units has a minimum cost per unit.
Answer:
The minimum cost per unit is obtained for an order of 8 units.
Step-by-step explanation:
Since the total cost is modeled by;
C(x)=5x²+320
Then;
1 unit costs; C(x)=5(1)²+320 = 325
cost per unit 325/1 = 325
8 units costs; C(x)=5(8)²+320 = 640
cost per unit = 640/8 = 80
80 units costs; C(x)=5(80)²+320 = 32320
Cost per unit = 32320/80 = 404
The minimum cost per unit is obtained for an order of 8 units.
How many gallons of a 70% antifreeze solution must be mixed with 90 gallons of 15% antifreeze to get a mixture that is 60% antifreeze
Answer:
67 gallons.
Step-by-step explanation:
To determine how many gallons of a 70% antifreeze solution must be mixed with 90 gallons of 15% antifreeze to get a mixture that is 60% antifreeze, the following calculation must be performed:
0.15 x 90 + 0.70 x 10 = 20.5 / 100 = 0.20
0.15 x 90 + 0.70 x 30 = 34.5 / 100 = 0.34
0.15 x 90 + 0.70 x 60 = 55.5 / 100 = 0.55
0.15 x 90 + 0.70 x 67 = 60.4 / 100 = 0.60
Thus, 67 gallons of 70% antifreeze solution will be needed to achieve a 60% mix of that solution.
Which is a multiple of 3, 2, and 5? 36 40 45 60
Answer:
60
Step-by-step explanation:
60/3=20
60/2=30
60/5=12
20$56 x4-7 + ,608+. 0. -70
Solve Question 2 for x, the number of bracelets Tasha bought:
Question 2: (Tasha bought some bracelets that cost $5 each and 2 hats that cost $12 each. The cost of her total purchase was $39. Which equation can be used to find x, the number of bracelets she bought?)
Answer: x = bracelets
Answer:
x=3 bracelets
Step-by-step explanation:
5(X)+2(12)=39
5X=39-24
5X=15
X=3
Kara sells bracelets for $5 each. She represents the price of x bracelets with the expression 5 x. Which expression represents another way Kara could determine the price of x bracelets?
a: x 10/2
b: x+5
c:(x divided by 5) times 5
d: (x divided by 2 ) times 10
Answer:
C. x divided by 5 times 5
Answer: A
Step-by-step explanation: X is a variable is does not actually have a value also because 10/2 =5 and that's the same as x 5 or 5 x
Yep brainliest if correct
9514 1404 393
Answer:
B) -125
Step-by-step explanation:
Put the numbers where the variables are and do the arithmetic.
(a^2 -b^2)^3
= (2^2 -(-3)^2)^3
= (4 -9)^3
= (-5)^3
= -125 . . . . . matches choice B
Can the Pythagorean Theorem be used to find a distance in the coordinate plane?
Answer:
Derived from the Pythagorean Theorem, the distance formula is used to find the distance between two points in the plane. The Pythagorean Theorem, a2+b2=c2 a 2 + b 2 = c 2 , is based on a right triangle where a and b are the lengths of the legs adjacent to the right angle, and c is the length of the hypotenuse.
Step-by-step explanation:
hope it help
Answer:
Yes it can be used because there is a right angle and by using 3 points u form a right triangle and then u will can find distance
The price of an item has been reduced by 60%. The original price was $52
“Soup and taco” sells 7 burritos for every 9 tacos sold if they sell 63 burritos, how many tacos do they sell?
Jackson is given the expression below to simplify.
9x - 4 + 4x + 5x + 19
Which expression is equivalent to Jackson's expression?
0 3(6x + 5)
0 18x + 23
05(x + 2)
0 14x + 19
Answer:
it should be 3(6x+5)
Step-by-step explanation:
3(6x + 5) will be equivalent expression of 9x - 4 + 4x + 5x + 19 so option (A) will be correct.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
Given the expression,
9x - 4 + 4x + 5x + 19
By adding variables and constants individually
(9x + 4x + 5x) + (-4 + 19)
⇒ 18x + 15
Taking common 3
⇒ 3(6x + 5)
Hence "3(6x + 5) will be equivalent expression of 9x - 4 + 4x + 5x + 19".
To learn more about expression,
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Ally made 60 donuts on Friday. She made 3x donuts on Wednesday and 2x donuts on Thursday. How much donuts did she make in all?
Answer:
Step-by-step explanation: 60 x 3= 380
2 x 60= 270
270 + 380= 810
A certain forest covers an area of 2100 km^2. Suppose that each year this area decreases by 5.25%. What will the area be after 6 years
Answer:
The area after 6 years is [tex]1519.49km^2[/tex]
Step-by-step explanation:
Given
[tex]a = 2100[/tex] --- Initial Value
[tex]r = 5.25\%[/tex] --- Rate
Required
Determine the area after 6 years
Because the area reduces,, the following formula will be used to solve the question.
[tex]y = a*(1 - r)^t[/tex]
Here
[tex]t = 6[/tex]
So, we have:
[tex]y = 2100*(1 - 5.25\%)^6[/tex]
Convert percentage to decimal
[tex]y = 2100*(1 - 0.0525)^6[/tex]
[tex]y = 2100*(0.9475)^6[/tex]
[tex]y = 1519.47866516[/tex]
[tex]y = 1519.49[/tex] -- approximated
The area after 6 years is [tex]1519.49km^2[/tex]
Please help I’ll mark you as brainliest if correct
Answer:
72 cm³ (see below)
Step-by-step explanation:
First, refer to the volume formula:
V = l · w · h
If you plug in all of your values and simplify, you'll get the volume:
l = 6 cm
w = 3 cm
h = 4 cm
V = (6) (3) (4)
V = 18 (4)
V = 72 cm³
Because this is volume, the measurements are units cubed, meaning it's cm³.
what minus 11 an that equalls 28
Answer:39
Step-by-step explanation:
If you add 28+11 you get 39 making 39-11=28
The measures of the three angles whose sum is 120° are in the extended ratio 2:5:8 find the exact angle measures
Answer:
ans is 16°,40°and64°
let ratio be 2x,5xand 8x
Step-by-step explanation:
their sum=120°
2x+5x+8x=120
15x=120
x=120/15=8°
2x=2×8=16°
5x=5×8=40°
8x=8×8=64°
solve for c.
c - 7 = -9
Answer:
[tex]c = 2[/tex]
Step-by-step explanation:
In order to find the answer to this question you must add 7 on both sides.
[tex]c-7=-9[/tex]
[tex]+ 7 + 7[/tex]
[tex]-9 + 7 = -2[/tex]
[tex]c = -2[/tex]
Hope this helps.
the area of a circle is 94pi squared meters. What is the radius of the circle?
Answer: 47
Step-by-step explanation:
Radius is half of a crickets so if you divide 94 by 2 you will get 47
A class is collecting data on the number of pets each student has. The class is divided into 4 groups. Which table shows the group of students with the greatest mean number of pets?
Can you at least add the picture?
i can’t seem to find any answers for this can anyone help?
Answer:
2 2/3
Step-by-step explanation:
- - is the same as + so it's actually 2 1/3 + 5
very easy 5th grade math. please look at photo and answer!! giving brainiliest
Answer:
Back Prism: 60
Front Prism: 90
Total Volume: 150
Step-by-step explanation:
a scientist recorded the temperature of the first day of spring for 24 hours starting from Midnight their hours the scientist recorded a low of 44°f and a high of 67°f.
Answer:
so what is the question?
Find the radius, and the approximate circumference and area of the circle below. (Use 3 for \pi)
Answer:
Circ=37.704, Area= 112.112
Step-by-step explanation:
Circumference= pi *Diameter
Taking pi=3.142, Diameter=12
Circ=3.142*12=37.704
Area= pi * r^2
Area= 3.142*6*6=112.112
calculate the pay for the following day of a weekly time card given a wage of $16/hr
Answer:
24x16x7
Step-by-step explanation:
Answer:
$2,688 a week
Step-by-step explanation:
16 x 7 x 24 would be 2,688
A teacher believes that the third homework assignment is a key predictor in how well students will do on the midterm. Let x represent the third homework score and y the midterm exam score. A random sample of last terms students were selected and their grades are shown below. Assume scores are normally distributed.Body frame size is determined by a person's wrist circumference in relation to height. A researcher measures the wrist circumference and height of a random sample of individuals.What is the value of the test statistic to see if the correlation is statistically significant
Answer:
Hello your question has a disjointed equation attached to it and it is also incomplete attached below is the correct and complete question
A teacher believes that the third homework assignment is a key predictor in how well students will do on the midterm. Let x represent the third homework score and y the midterm exam score. A random sample of last terms students were selected and their grades are shown below
answer :
y-intercept = 25.9047
slope = 2.8420
Step-by-step explanation:
Determine the slope for the regression equation and y intercept
The regression equation ( gotten using excel ; attached below is the excel sample on how the equation was gotten )
y = 25.9047 + 2.8420x
from the equation gotten above
y-intercept = 25.9047
slope = 2.8420
Luisa deposits $44.60 to her bank account on Tuesday morning. on Wednesday, she withdraws $66.30 on Thursday, she wildew $30 Which answer choke represents the balance in her account on Thursday?
A $51.70
B $140.90. C $ -22.00. D $-51.70
Answer:
The answer is D- $- 51.70
The answer choke represents the balance in her account on Thursday is D $-51.70
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
Given that Luisa deposits $44.60 to her bank account on Tuesday morning. on Wednesday, she withdraws $66.30 on Thursday, she wildew $30
Using the data from the question, we can create the following equation to solve.
44.60 - (66.30 + 30 ) = x
44.60 - (96.30 ) = x
-51.70 = x
As we can see Luisa withdrew more money than what she actually deposited which means that her account balance on Tuesday Night is less than what it was on Monday night before the initial deposit.
Learn more about equations here;
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Which is the graph of y=3/4 x -3?
Answer:
graph A.
Step-by-step explanation:
What is the value of the 5 in 564,242?
Answer:
500,000
Step-by-step explanation:
the value of 5 in the number 56242 is 500,000 or hundred thousand. to know the value of digit 5 in the number 564242 go to five the digit 5 and write zeroes after it.
have a wonderful day
I have to determine whether the sides of the triangle form a pythagorean triple.
Answer:
Step-by-step explanation:
How do you know if side lengths form a Pythagorean triple?
Pythagorean triples may also help us to find the missing side of a right triangle faster. If two sides of a right triangle form part of a triple then we can know the value of the third side without having to calculate using the Pythagorean theorem. From the ratio, we know that it is a Pythagorean triple.