The population growth of the ants represents a non-linear function or exponential growth. After one year, the ant farm will contain 384 ants.
Explanation:Exponential growth is evident in this situation as the number of ants in the farm doubles every three months. This doubling is characteristics of exponential functions, therefore, this population growth is a non-linear function, not a linear function. In terms of how many ants will be in the farm after a year, there will be four 3-month periods in a year. So, the ants double four times. Using the formula of exponential growth 2n (where 'n' is the number of cycles), we can precisely calculate the final number of ants. Therefore, the total number of ants after one year, or four 3-month cycles, would be 24 ants * 24 = 24 ants * 16 = 384 ants.
Learn more about Exponential Growth here:https://brainly.com/question/12490064
#SPJ12
Which points are 3.5 units apart?
.5 and 4 I think there should be a abcd questions
Answer:
(7.5, 1.2) and (7.5, –2.3)
Step-by-step explanation:
Hope this helps
How much are exams worth in k12 8th grade
It completely depends on the teacher, but typically exams seem to be worth at least 50% of your final grade.
I depends on what school you go to and how many subjects you have to study. It also depends on the type of teacher you have. But generally I would say exams are worth over 50% of your final grade.
Hope this helps!
HELPP IN THE PICTURE
Answer:
Given in the question an expression,
y = 3x/(8+x)
Step1
interchange the variables
x = 3y/(8+y)
Step 2
x(8+y) = 3y
Step 3
8x + xy = 3y
Step 4
8x = 3y - xy
Step 5
8x = y(3 - x)
Step 6
8x = y(3 - x)
Step 7
y = 8x/(3-x)
Step 8
y = f(x^-1) = 8x/(3-x)
So the inverse of f(x)= 3x/(8+x) is f(x^-1) = 8x/(3-x)
The inequality 6 - 2/3x < x - 9 is equivalent to...
A) x>9
B) x<9
C) x>-3/5
D) x<-3/5
Start with
[tex]6-\dfrac{2}{3}x<x-9[/tex]
Add 9 to both sides
[tex]15-\dfrac{2}{3}x<x[/tex]
Add [tex]\frac{2}{3}x[/tex] to both sides
[tex]15<\dfrac{5}{3}x[/tex]
Multiply both sides by 3/5
[tex]9<x[/tex]
Which is the same as
[tex]x>9[/tex]
Order the following from least to greatest: -0.3, 4/5, -5/12, 0.92
Answer:
-5/12, -0.3, 4/5, 0.92
Step-by-step explanation:
because: -5/12 = -0.41666666666
-0.3
4/5 = 0.8
0.92
and the negatives are always the least especially if it's a great number with a negative sign.
HELP ME PLZ SORRY CAPS
Answer:
Because we knew that the function rule for the input/output table is to multiply by 6, just multiply 7 by 6 and we get y = 42
For the second question, we also knew that the function rule for the input/output table is to divide by 3, just divide 6 by 3 and we get y = 2
Since we already knew that the charge for downloading a movie is $3, then we can also predict that x is number of movies downloaded, and the total fee for downloading x movies should be 3x, plus the monthly fee, we have the equation: y = 3x + 6.50
*I could be wrong though
I think your correct answer is C. Please don’t be mad if I am wrong!❤️❤️
The domain for f(x) and g(x) is the set of all real numbers.
Let f(x) = 2x^2 + x - 3 and g(x) = x-1
Find f(x) • g(x).
Answer:
[tex]2x^3-3x^2-4x+3[/tex]
Step-by-step explanation:
Use FOILing to get the answer. Distribute x into 2x^2, to get 2x^3, then into x to get - x^2, then into -3 to get -3x. Then distribute the -1 into the 2x^2 to get -2x^2, then into the x to get -x, then into the -3 to get 3. Combine like terms to get the solution above.
Answer:
2x^3-x^2-4x+3
Step-by-step explanation:
When 60% of a number is added to the number, the result is 208
Answer:
x=120
CK
0.60*120=72
120+72=192
192=192
Hope this helps
Step-by-step explanation:
THE ANSWER IS 192
Evaluate the square.
112 =
Ok ima be your math teacher. So basically 11 squared by two equals 121. Well you may be like Why!??!?! And it is because 11 squared by two is 11X11. Lets say the question was 11 squared by 4 then the answer would be 11X11X11X11 4 times! GET IT?!
PLEASE HELP ASAP!
A 6-foot-tall man is standing atop a 9-foot wall. The distance along the hypotenuse from the top of the man’s head to the ground, as shown, is 17 feet. Each kneeling child takes up 1 foot of space. How many children can kneel along the bottom of the triangle as shown? Assume the wall and the man are vertical, forming a right angle with the ground.
Answer:
8
Step-by-step explanation:
hypotenuse = c = 17 feet
Height = a = 9 feet + 6 feet = 15 feet
Children's space = b
a^2 + b^2 = c^2
15^2 + b^2 = 17^2
225 + b^2 = 289 Subtract 225 from both sides
225-225+b^2=289-225
b^2 = 64 Take the square root of both sides.
sqrt(b^2) = sqrt(64)
b = 8
Since each child takes up 1 foot, 8 children can sit on side b.
equation of the circle with center 2,1 and 5,2 a point on the circle
Answer:
Step-by-step explanation:
The center tells you how to handle the left side of a circle's equation.
(x - 2)^2 + (x - 1)^2 = r^2
The point (5,2) gives you enough information to find r^2
x = 5
y = 2
(5 - 2)^2 + (2 - 1)^2 = r^2
(3)^2 + 1^2 = r^2
9 + 1 = r^2
r^2 = 10
Complete equation
(x - 2)^2 + (y - 1)^2 = 10
Answer: (x-2)^2+(y-1)^2=10
Step-by-step explanation:
r=√(x-h)^2+(y-k)^2
r=√(5-2)^2+(2-1)^2
r=√3^2+1^2
r=√9+1
r=√10
X^2+y^2=r^2
(x-2)^2+(y-1)^2=(√10)^2
(x-2)^2+(y-1)^2=10
You are testing a claim that the standard deviation of time all women spend washing their hair in the morning is 15 seconds. You find the initial conclusion of your test fails to reject the null hypothesis. State the final conclusion.
There is sufficient evidence to support the claim that the standard deviation of time all women spend washing their hair in the morning is not 15 seconds.
There is not sufficient evidence to support the claim that the standard deviation of time all women spend washing their hair in the morning is not 15 seconds.
There is sufficient evidence to support the claim that the standard deviation of time all women spend washing their hair in the morning is 15 seconds.
There is not sufficient evidence to support the claim that the standard deviation of time all women spend washing their hair in the morning is 15 seconds.
The insufficient evidence found in your test indicates that there's not ample proof to reject the claim regarding the standard deviation of time women spend washing their hair in the morning being 15 seconds.
Explanation:In the realm of statistics, we are testing a claim about the standard deviation. In this case, you've tested a claim that the standard deviation of time all women spend washing their hair in the morning is 15 seconds. If your test does not reject the null hypothesis, that means you've found insufficient evidence to say the standard deviation differs from your claim. Thus, your final conclusion in this instance would be: 'There is not sufficient evidence to reject the claim that the standard deviation of time all women spend washing their hair in the morning is 15 seconds.'
Learn more about Standard Deviation here:https://brainly.com/question/23907081
#SPJ12
The final conclusion is: There is not sufficient evidence to support the claim that the standard deviation of time all women spend washing their hair in the morning is not 15 seconds.
Explanation:The final conclusion is: There is not sufficient evidence to support the claim that the standard deviation of time all women spend washing their hair in the morning is not 15 seconds. When the initial test fails to reject the null hypothesis, it means that there is not enough evidence to support the alternative hypothesis. In this case, it suggests that there is not enough evidence to support the claim that the standard deviation of time all women spend washing their hair in the morning is not 15 seconds.
To reach this conclusion, you would have conducted a hypothesis test using a significance level (alpha). If the p-value from the test is greater than alpha, you would fail to reject the null hypothesis. This means there is not enough evidence to support the alternative hypothesis, which implies that the claim of the standard deviation not being 15 seconds is not supported.
Learn more about Hypothesis testing here:https://brainly.com/question/34171008
#SPJ12
For the given pair of events A and B, complete parts (a) and (b) below.
A. When a baby is born, it is a girl.
B. When a 16-sided die is rolled, the outcome is 1.
a. Determine whether events A and B are independent or dependent. (If two events are technically dependent but can be treated as if they are independent according to the 5% guideline, consider them to be independent.)
b. Find P(A and B), the probability that events A and B both occur.
Answer:
(a) Option A. independent
(b) [tex]P(A\ and\ B) = 0.0312[/tex]
Step-by-step explanation:
Two events A and B are considered dependent if the occurrence of one affects the probability of occurrence of another.
In this case, the events are independent because the birth of a girl or a boy does not affect the probability of obtaining a 1 by throwing a 16-sided die.
In the same way, throwing a die and obtaining the number 1 does not affect the probability that a baby is a girl or a boy.
When two events are independent then
[tex]P(A\ and\ B) = P(A)*P(B)[/tex]
The probability that a baby is a girl is
[tex]P(A) = 0.5[/tex]
The probability of obtaining a 1 when casting a 16-sided die is:
[tex]P(B) = \frac{1}{16}[/tex]
Then:
[tex]P(A\ and\ B) = 0.5 * \frac{1}{16}[/tex]
[tex]P(A\ and\ B) = 0.0312[/tex]
What is the value if x a. 20 b. 25 c. 45 d. 65
what's the equation to find x
ana preparo chicha morada con 30 porciento de maiz morado y 70 porciento de agua.Si bebio el 30 porciento de la chicha morada y reemplazo esa cantidad de agua.Que porcentaje de la nueva mezcla es concentrado de maiz morado?
Answer:nise xdxxxxdddd
Step-by-step explanation:
Conociendo los porcentajes de cada componente y usando algebra simple, veremos que el porcentaje de la nueva mezcla que es maiz morado es el 49%.
Asumamos que comenzamos con una cantidad A de chicha morada.
Sabemos que:
0.3*A es maiz morado.0.7*A es agua.Ahora mezclamos eso.
Ana se bebe el 30% de la chicha morada, es decir, la cantidad restante de chicha morada es:
0.7*A
Conociendo las proporciones con las que esto se preparo, podemos ver que la cantidad de agua restante es:
0.3*0.7*A
Y la cantidad de maiz restante es:
0.7*0.7*A
Ahora reemplaza el 0.3*A faltante con agua, es decir, la cantidad total de agua será:
0.3*0.7*A + 0.3*A
(0.3*0.7 + 0.3)*A
0.51*A
Es decir, en la nueva mezcla un 51% es agua.
Entonces el porcentaje de la nueva mezcla que es maiz morado es el 49% restante.
sí quieres aprender más, puedes leer:
https://brainly.com/question/12116804
NEED HELP 15 POINTS!!!
Circumference = diameter x PI
Circumference = 3.14 x 68 yards = 213.52 yards.
Area = PI x r^2
r = 1/2 the diameter = 1/2 x 68 = 34 yards.
Area = 3.14 x 34^2 = 3.14 x 1156 = 3629.84 yards^2
What is the simplified expression for -3cd-d(2c-4)-4d
Answer:
-5cd
Step-by-step explanation:
-3cd-d(2c-4)-4d
Distribute the -d
-3cd-d2c-+d4-4d
-3cd -2cd +4d-4d
Combine like terms
-5cd
what is the slope of a line that contains the points (1,9) and (4,3)
Answer:
The slope is -2
Step-by-step explanation:
To find the slope of a line when we have 2 points, we use the formula
m = (y2-y1)/(x2-x1)
= (3-9)/(4-1)
= -6/3
-2
The slope of the line is -2
To find the slope of a line using two points, there are many formulas, however the easiest one to use is (rise/run)
The rise is the difference in the Y value and the run is the difference in the X value
(9-3)/(1-4) = (6/-3) = -6/3, which can be simplified to -2
Raju wanted to plough his field. He asked the farmers "how many days will it take to plough the field? The farmers said “The field can be ploughed in 14 days. If 20 hectares of land is ploughed more daily, the work will be finished in 10 days”. Find the area of the land which can be ploughed daily. Also find the area of the field?
Answer:
1. Area of the land which can be ploughed daily is 50 hectares (and 70 hectares at higher rate)
2. Area of the field is 700 hectares
Step-by-step explanation:
Let x hectares be the number of hectares the farmers normally ploughed in a day. At this rate, they will complete the work in 14 days, so they have to plough
[tex]14\cdot x=14x\ hectares.[/tex]
Then x+20 hectares is the number of hectares the farmers ploughed in a day when they increased their productivity of work. At this rate, they will complete the work in 10 days, so they have to plough
[tex]10\cdot (x+20)=10(x+20)\ hectares.[/tex]
The work is the same, so
[tex]14x=10(x+20)\\ \\14x=10x+200\\ \\14x-10x=200\\ \\4x=200\\ \\x=50[/tex]
Ploughing 50 hectares each day 14 days in a row they will plough
[tex]14\cdot 50=700\ hectares[/tex]
look at the map below. which is the distance between kensington and greenwich?
Answer:
choice c is believe is the answer
Step-by-step explanation:
Applying the Pythagorean theorem, the distance between kensington and greenwich is: b. 20√5 mi.
What is the Pythagorean Theorem?To solve a right triangle, where a and b are the legs and c is the longest side (hypotenuse), the Pythagorean theorem states that, c = √(a² + b²).
Apply the Pythagorean theorem to find the distance:
Distance between kensington and greenwich = √(40² + 20²)
= √(1,600 + 400)
= √2,000
= 20√5 mi.
Learn more about the Pythagorean Theorem on:
https://brainly.com/question/654982
#SPJ2
Alyssa and Anna bought three toy cars for their three cousins from a store on line
The price for one car was $3.85. A shipping fee of $4.56 was added to the total
cost. The two girls shared the total cost equally How much did each girl pay?
Answer: 14.555
Step-by-step explanation: so you take $3.85 multiplied by 3 because they bought 3 toy cars plus a $4.56 and take the answer of that and divide by 2 because they split the cost. Hope this helps
Answer:
each girl had to pay around $8.06
Step-by-step explanation:
They bought 3 toy cars and each car was $3.85.
You have to multiply $3.85*3 which is $11.55.
Then add the $4.56 of shipping fee which is $16.11.
since the 2 girls shared the total cost, divide 16.11/2
16.11/2= $8.06
A box contains 8 dimes, 15 quarters, and 27 nickels. A student randomly draws two items, one at a time without replacement, from the bag. Find the probability that 2 quarters are drawn.
First, we have to find the ratio of quarters to the ratio of total coins:
15/15+8+27 = 15/50
Then, multiply the ratios:
15/50 * 14/49
(14/49 since one quarter has already been removed)
210/2450
21/245 = 0.0857
The probability is about 9 percent.
find the area of the rhombus
Answer:
Step-by-step explanation:First of all you don't have anything to solve and the formal of a rhombus is base times height.
Okay so like maybe next time try to include a picture so we can see it, because we cant solve anything
Zeros are never significant digits.
Please select the best answer from the choices provided
A:True
B:False
It is false because they could be at the end of a number
A machine makes 312 bolts in 30 minutes, at the same rate, how many minutes would it take to produce 260 bolts?
Answer:
25 minutes
Step-by-step explanation:
By using the rule of three we can solve this problem:
If a machine makes 312 bolts in 30 minutes, how much time it would take to produce 260 bolts?
312 bolts -----> 30 minutes
260 bolts ------> X
X = (260*30)/312 = 25 minutes
312/30=10.4.
260/10.4=25
Each brick in the wall has the dimensions shown below. What is the volume of each brick
Answer:
Step-by-step explanation:
a
Answer:
A is the answer.
Step-by-step explanation:
59
72
118
144
Megan has $50 in a savings account that earns 10% annually. The interest in not compounded. How much will she have in 1 year?
And
How much will she have in 3 years?
en un año gano 55 $ locual es un dato clave
Step-by-step explanation:
Hi uwu pls help me?? i really need it :'( dont make me cry
Combine the like terms to create an equivalent expression:
4z-(-3z)
Answer:
4z-(3z) z
Step-by-step explanation:
I hope that helps
The measure of two complementary angles are in the ratio 1 : 4. What are the degree measures of the two angles?
A 18° and 72°
B. 22.5° and 67.5°
C. 36° and 144°
D. 45° and 135°
Answer:
A 18° and 72°
Step-by-step explanation:
As you know, the sum of two complementary angles = 90
The ratio 1 : 4 = 1 + 4 = 5
So 90/5 = 18
1 x 18 = 18
4 x 18 = 72
The two complementary angles are 18° and 72°
Answer
A 18° and 72°
Which equation is satisfied by all three of the plotted points?
ANSWER
B. y=2x+1
EXPLANATION
The graph has a y-intercept of 1.
Let y=mx +b be the equation of the straight line graph.
where b=1 is the y-intercept.
We put this value into the equation to get,
y=mx +1.
Thie point (1,3) must also satisfy this line.
3=m(1)+1
m=3-1
m=2
The equation is
y=2x+1