Answer:
f(x) = 500 • 1.1x
Step-by-step explanation:
To solve the question, we need to understand that:
- The population of ants is going to increase with time as they mate and have a population positive growth rate.
- The initial number of ants is 500.
- The rate at which it increases will be multiplied with x months
We will work our way out by removing the wrong answers first
Since,
The population cannot be decreased so we can neglect the last two options involving 0.9 as it will result in a decrease in the population.
Now we are left with two options:
a) f(x) = 500 • 1.1x
b) f(x) = 1.1 • 500x
Since in the option (b) , 500 is multiplied with x , it is not possible as 500 is a constant initial amount and not a factor of growth of population. The growth factor is supposed to be multiple of x months.
So, the correct answer is f(x) = 500 • 1.1x
If it is 78°F in Memphis and -14°F
in Junaeu, what is the temperature
difference between the two cities?
Answer:
There is a 92°F difference between the two cities.
Step-by-step explanation:
Since you are finding the difference of temperatures between the two cities, you need to subtract -14 from 78. It looks like 78-(-14). Since you are subtracting a negative number, the equation becomes 78+14. 78+14 is 92.
3 Simplity the following rotic's = 4:16
Answer:
1:4
Step-by-step explanation:
simply divided by 4 :)
(TUTORS WHERE R U?? KIDS NEED HELP LIKE ME!! ILL GIVE BRAINLYY)
Answer:
11. 10x^2 - 13x - 3
12. 5x^2 + 18x + 5
Step-by-step explanation:
11. Product means multiplication, so you can multiply (5x + 1) and (2x - 3).
[tex](5x + 1) * (2x - 3)[/tex] - Using the FOIL (First+Outer+Inner+Last)
So: [tex](5x*2x) + (5x*-3) + (1*2x) + (1*-3)\\10x^{2} -15x + 2x -3\\10x^{2} -13x -3[/tex]
12. [tex]3x^{2} + 8x - 1 + 2(x^{2} +5x + 3)[/tex] (So, you distribute the 2 to x^2 + 5x + 30, then combine like terms).
[tex]3x^{2} + 8x - 1 + 2(x^{2} +5x + 3)\\3x^{2} + 8x - 1 + 2x^{2} +10x + 6\\(3x^{2} +2x^{2}) + (8x + 10x) + (-1+6)\\5x^{2} + 18x + 5[/tex]
Hopefully, this helped you. Good luck & have a good day!
CAN SOMEONE HELP ME WITH THIS QUESTION PLEASE?!!!
Answer:
Cone or Cylinder, Sphere
Step-by-step explanation:
Answer: The surface area of a cone can be found by drawing a net and adding the area of all their respective two - diamasional surface. Use the formula 4πr2 to find the surface area of a Sphere where r is the radius of the figure.
Step-by-step explanation:
One hundred nautical miles equals about 185 kilometers. To the nearest kilometer, how far in kilometers is 140 nautical miles?
25,900 km
185 km
76 km
259 km
Answer:
259 km
Step-by-step explanation:
Butterfly method 100/185=140/???
185*140=25900
divide by 100
=295
weight of sheep,in pounds, at the Southdown sheep farm:
what is the range of weights of the sheep?
plz anwser asap I'm being timed
Answer: 170
Step-by-step explanation:
275-105
At a certain time of day, the sun shines on a large flagpole causing a shadow that is twice as long as the flagpole is tall what is the height of the flagpole to the nearest tenth of a foot?
350ft
Answer:
156.5
Step-by-step explanation:
The height of the flagpole to the nearest tenth of a foot is 156.5 ft.
Word Problems Using Pythagoras Theorem:Word Problems involving the use of the Pythagoras theorem need careful understanding to discern the complexity of the variables given, the using the Pythagoras theorem to solve the eqaution.
The Pythagoras Theorem states that the sum of the squares of the opposite side and the adjacent side is equal to the hypotenuse square.
From the information;
The large flagpole height = adjacent = xThe shadow of the flagpole = opposite = 2xThe hypotenuse = 350 ftUsing the Pythagoras theorem, we have;
hyp² = opp² + adj²
350² = (2x)² + x²
350² = 4x² + x²
122500 = 5x²
x² = 122500/5
x² = 24500
x = √24500
x = 156.5 ft
Therefore, we can conclude that the height of the flagpole is approximately 156.5 ft.
Learn more about word problems here:
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Find the values of x
and y that make these triangles congruent by the HL Theorem.
X = 2, Y = 1
X = 3, y = 2
X=1, y = 2
X = 2, y = 3
9514 1404 393
Answer:
(b) x = 3, y = 2
Step-by-step explanation:
In order for the triangles to be congruent by the HL theorem, the hypotenuses must be congruent:
3y = x+3
and the corresponding legs must be congruent:
y +1 = x
__
We can solve this set of equations by substituting for x:
3y = (y +1) +3
2y = 4 . . . . . . . .subtract y
y = 2 . . . . . . . . .divide by 2
2+1 = x = 3 . . . substitute for y in the equation for x
The solution is (x, y) = (3, 2).
9. What is the correct factorization of
x2 + 13x + 30?
Answer:
(x+3)(x+10)
Step-by-step explanation:
sorry I don't know how I should explain it....
Rachel ran 3 miles when she was training for a race. How many feet did she run?
Answer:
15,840 i did this in test and got 100%
Step-by-step explanation:
The total feet ran by Rachel is given by the equation A = 15,840 feet
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the total miles ran by Rachel be A = 3 miles
Now , the value of 1 mile = 5,280 feet
Substituting the values in the equation , we get
The distance of 3 miles in feet = 3 x value of 1 mile
On simplifying the equation , we get
The distance of 3 miles in feet = 3 x 5,280
The distance of 3 miles in feet = 15,840 feet
Therefore , the distance ran by Rachel A = 15,840 feet
Hence , the equation is A = 15,840 feet
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Whoever answers correctly without adding NO FILES OR LINKS gets brainliest
Answer:
C. 6.75n = 114.75
Step-by-step explanation:
The store collects $114.75, each magazine is 6.75, the number of magazines is shown by n.
Answer: The answer is A.
It is A because you have to divide the total by the cost to find out the amount of magazines purchased.
Find the area of the figure.
Answer:
89m ^2
Step-by-step explanation:
purple 8x13 = 104
triangle 1/2(5)(6) = 15
104-15 = 89
HELP PLEASE NO LINKSSS
Answer:
Step-by-step explanation:
multiply the botom olf the pick by the side of the pink and then add all the side of the blue
What is the domain in interval notation of the function graphed below? Note: As x is approaching -2, the graph is getting closer and closer to a line but not touching it.
Answer:
Step-by-step explanation:
x-values approach x = -2, but do not touch the vertical line x = -2. All other x-values are permitted. Thus, the domain is (-2, infinity).
Describe how you would determine whether a triangle is a right triangle given its coordinates.
A. You could find out whether the slopes of any two sides have a product of −1. B. You could find out whether any two sides have the same slope. C. You could find out whether one side is parallel to an axis, or perpendicular to an axis. D. You could find out whether one side has a slope of 0, and another side has a slope of either 1 or −1.
Answer:
uhhhh
Step-by-step explanation:
A
Four students ran for the position of school president. Use the following results to figure out who won. Jenna received 22% of the votes. Jordan received of the votes. Kelsey received 6 out of every 20 votes. Nathan received of the votes. The winner was A Jenna B Jordan C Kelsey D Nathan
Answer:
A Jenna
Step-by-step explanation:
Because if Jenna received 22% votes and Jordan, Kelsey, Nathan received less 20 percentage that means Jenna won for school president.
Q10.
ABC is a right-angled triangle.
А
11 cm
B
7 cm
C
(a) Work out the size of angle ABC.
Give your answer correct to 1 decimal place.
Answer:
[tex]B = 50.5^\circ[/tex]
Step-by-step explanation:
Given
[tex]AB = 11[/tex]
[tex]BC = 7[/tex]
See attachment
Required
Determine [tex]\angle ABC[/tex]
[tex]\angle ABC[/tex] implies that we calculate the angle at B.
Given that:
[tex]AB = 11[/tex] --- Hypotenuse
[tex]BC = 7[/tex] --- Adjacent of B
We apply cosine formula
[tex]\cos(B) = \frac{Adjacent}{Hypotenuse}[/tex]
[tex]\cos(B) = \frac{BC}{AB}[/tex]
[tex]\cos(B) = \frac{7}{11}[/tex]
[tex]\cos(B) = 0.6364[/tex]
Take arccos of both sides
[tex]B = cos^{-1}(0.6364)[/tex]
[tex]B = 50.5^\circ[/tex]
PLEASE ANWSER QUICK PLS PLS
Answer:
D. m/_ 4 is 137
Step-by-step explanation:
If you add 137 and 43 you get 180 which is the line's angle.
Solve the inequality. Graph the solution.
Answer:
Don't see it. Sorry.
Step-by-step explanation:
Write in slope-intercept form.
What is the area of the trapezoid below
Answer:
[tex]Area: 29 cm^{2}[/tex]
Step-by-step explanation:
[tex]Aear=(8.5+6)(\frac{4}{5} )[/tex]
[tex]Area=14.5 (2)[/tex]
[tex]Area=29[/tex]
----------------------
hope it helps...
have a great day!!
Please answer this solve the proportion x/8 = 9/4 X=
[tex]\frac{x}{8}=\frac{9}{4} \\\\4x=72\\x=18\\[/tex]
hope this helps :)
How many solutions does the system have? 2x+3y=-6 3x-4y=-12. A) exactly one solution b) no solution c) infinity many solutions
Answer:
a.
Step-by-step explanation:
by elimanation,cimparison or substitution you wull get the value of x=-60/17 and y=6/17
help i don't understand this!!
Answer:
30 cm
Step-by-step explanation:
Math question :) please help
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PLEASE HELP!!
What is the volume of this rectangular
prism?
A. 40 2/9 in.
B. 46 2/9 in.
C. 56 8/9 in
D. 92 4/9in.
Answer:
A. 40 2/9
Step-by-step explanation:
If I first multiply the whole numbers, so 2 x 5 x 4 that would equal 40. Next you can multiply the fractions, so 2/3 x 1/3 that equals 2/9. So the answer is 40 2/9
How many lines of symmetry does a kite have
0
1
3
2
Answer:
1 i think hope this can help you with your problem
Answer:
1
Step-by-step explanation:
help please don’t know how to do this
Answer:
1. C,D
2. B,C,D
3. E
4.D
5.A,B,C,D
6.D
7.C,D
8.E
Step-by-step explanation:
Hope this helps ;)
If you flip a coin 15 times and it lands on heads every time, what is the probability of the coin landing on heads on
the next flip?
Answer:
Its depends on theoretical and experimental
Step-by-step explanation:
The experimental you have flipped it 15 times and got heads every time, so you have an experimental of 15/15 of heads, but theoretical is a 1/2, or 50/50, a 50% chance of getting heads or tails.
to which sets of numbers dose-1/4 belong. select each correct answer.
A. rational numbers
B. irrational numbers
C. real numbers
D. integers
Answer:
Rational.
Step-by-step explanation:
Natural numbers are numbers 1 through infinite.
Whole numbers are numbers 0 through infinite.
Integers are negative numbers (No decimals nor fractions)
Rational numbers are fraction/decimal numbers (can be negative).
Irrational numbers are squared numbers.
Real numbers includes all of the above mentioned.
Hope this helps.
Answer:
A. rational numbers
Step-by-step explanation:
-1/4 belongs to rational number
