Given:
The insect population function is:
[tex]f(x)=10(2)^x[/tex]
Where x is the number of weeks.
To find:
The population after 4 weeks.
Solution:
The population of insect after x weeks is given by:
[tex]f(x)=10(2)^x[/tex]
We need to find the population after 4 weeks.
After substituting [tex]x=4[/tex], we get
[tex]f(4)=10(2)^4[/tex]
[tex]f(4)=10(16)[/tex]
[tex]f(4)=160[/tex]
The population after 4 weeks is 160. Therefore, the correct option is C.
18÷(−23)×4÷(−7)×(−3)÷(14)
18÷−23×4÷−7×(−3)÷14
Answer:
- 0.1499375256
Step-by-step explanation:
have a good day /night
Elana gets on a horse 15 feet from the center of a
merry-go-round. She travels 288° around the circle,
then the ride stops. The merry-go-round travels of
the way around, then stops. About how far did Elana
travel? Use 3.14 for pi.
37.68
75.36
150.72
565.2
Answer:
b.) 75.36
Step-by-step explanation:
Got it right on edge
b. Simplify: (x + a)2 + (x - a)2
Answer:
[tex]2x^2 + 2a^2[/tex]
Step-by-step explanation:
[tex](x + a)^2 + (x - a)^2[/tex]
Lets expand it.
[tex]=> x^2 + a^2 + 2ax + x^2 + a^2 - 2ax[/tex]
[tex]=> x^2 + x^2 + a^2 + a^2[/tex]
[tex]=> 2x^2 + 2a^2[/tex]
An alligator farm has two baby alligators. Alligator A is 6 inches long and is growing at a rate
of 0.6 inches per month. Alligator B is 4 inches long and has a growth rate of 0.8 inches per
month. Let m represent the number of months and L represent the length of the alligator.
At what month are both alligators the same length?
a. 12 months
b. 14 months
c. 10 months
Answer:
10 months
Step-by-step explanation:
.8x+4=.6x+6
.8x=.6x+2
.2x=2
x=10
Consider the quadratic function y = 1/5(x - 2)2 + 5.
Which statements are true about the function and its graph? Select two options.
The vertex of the function is (-2,5).
There are no real roots for the function.
The graph of the function opens down.
The graph contains the point (2,5).
The graph intersects the x-axis at one unique point.
Answer:
Step-by-step explanation:
There are no real roots and the graph contains point (2,5). Notice it is in vertex form. So there must be a point at x = 2 and y = 5. However, if it is the vertex and it opens upwards, that means it cannot intersect the x axis. So 2 and 4 are the correct answers I believe.
Calculate the area of the shapes below.
2.
8 ft
4 ft
12 ft
Please LOL
Answer:
good luck!
Step-by-step explanation:
Help!!! The graph represents (x , y)- pairs that make the equation y = 2x true?
hey ma i need your help on this plz and ill give you a branist or wtv its called
Hi there!
[tex]\large\boxed{\text{ sum = 180(n - 2)}}[/tex]
This is the formula for finding the sum of interior angles for a polygon with a number of sides "n".
We can also prove this from the table:
Triangle ⇒ 3 sides: 180(3 - 2) = 180°
Quadrilateral ⇒ 4 sides: 180(4 - 2) = 360°
Pentagon ⇒ 5 sides: 180(5 - 2) = 540°
...And so forth. We can write this as for any polygon with "n" sides:
180(n - 2) = sum (°)
Help me with this math problem please:):)
A man drove 450 mi. at an average rate of 45 mi./hr. How long did it take him?
Answer:
10 hours
Step-by-step explanation:
450 ÷ 45 = 10 hours
A square has an area of 285.61cm2 work out the perimeter of the square.
Answer:
67.6 cm
Step-by-step explanation:
x^2 = 285.61
x = 16.9
4x = 67.6 cm
I really need help with this
Answer:
7.2 feet
Step-by-step explanation:
Maths equation please help
Answer:
V=120cm³
Step-by-step explanation:
v=12(5)(6)-4(10)(6)
v=120cm³
hope it helps...
have a great day!!
The area of a square is 128x3y4 cm2. What is the length of one side of the square in simplest form
Answer:
We know that the area of the square of side length L is:
A = L*L = L^2
In this case, we know that the area is:
A = 128*x^3*y^4 cm^2
Then we have:
L^2 = 128*x^3*y^4 cm^2
If we apply the square root to both sides we get:
√(L^2) = √( 128*x^3*y^4 cm^2)
L = √(128)*(√x^3)*(√y^4) cm
Here we can replace:
(√x^3) = x^(3/2)
(√y^4) = y^(4/2) = y^2
Replacing these two, we get:
L = √(128)*x^(3/2)*y^2 cm
This is the simplest form of L.
What is the value of x?
In a 45 · 45 · 90 triangle, the hypotenuse is √2 · legs, because a 45 · 45 · 90 triangle is isosceles, so the legs are the same length. So, we have 3√2 · √2 = 6, so the hypotenuse is 6.
x=6
Select the correct answer.
Consider this equation.
sin()
4729
29
If 8 is an angle in quadrant IV, what is the value of cos();
OA.
OB.
4729
29
V377
29
4729
29
OC.
OD
V377
29
Answer:
377/29
Step-by-step explanation:
this is the answer for plato, i took the test btw
For the given value of sin, the value of cosΘ will be 0.73.
What is trigonometry?A right-angle triangle's sides, angles, and relationship to each other are the subject of the mathematical discipline of trigonometry. The pair ratio of a right-angled triangle is known as the trigonometric ratio.
It is given that, sinΘ= -4√29 / 29
Θ=sin⁻¹(-4√29 / 29)
Θ= -0.74
The value of cosΘ is obtained as,
=cosΘ
=cos( -0.74)
=0.73
Thus, the value of cosΘ will be 0.73.
Learn more about trigonometry here:
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#SPJ2
2X
[tex]2x + 4 = 0[/tex]
Answer:
The value of x = -2
Step-by-step explanation:
Given equation:
2x + 4 = 0
Find:
The value of x
Computation:
We know that given equation 2x + 4 = 0 is a liner equation with only one variable.
So, we can solve this by elimination method
2x + 4 = 0
Step 1 :
Subtract 4 from both side
2x + 4 - 4 = 0 - 4
2x = -4
Divide 2 from both side
2x / 2 = -4 / 2
x = -2
The value of x = -2
What is the name?
Help please
Answer:
Tangent
Step-by-step explanation:
GE has only one point of contact with the circle at F
The line GE is therefore a tangent
Answer:
Tangent
Step-by-step explanation:
i took it
what's 3 more then x is 5
FOR SAT HELPP!!!
Answer:
the answer should be x=2
Step-by-step explanation:
EDITTT!!!
x+3=5
x+3-3=5-3
x=5-3
x=2
Gabriele's Pie Shop sold 80 pies last month: 7/10 were apple pies and 1/10 were peach pies. How many pies were neither apple nor peach?
a.)40
b.)32
c.)16
d.)9
Answer:
16 pies were neither apple nor peach.
Step-by-step explanation:
8/10, or 4/5 of the 80 apple pies were either apple or peach, which 4/5 of 80 is 64. The remaining pies will be neither apple nor peach. 80 - 64 = 16.
Unit 7: Polygons & Quadrilaterals
Homework 3: Rectangles
a 2-page document! **
Answer:
VW = 31
WX = 19
YW = [tex]\sqrt{1322}[/tex]
ZX = ([tex]\sqrt{1322}[/tex]) / 2
VX = [tex]\sqrt{1322}[/tex]
Step-by-step explanation:
[tex]YW^{2}[/tex] = [tex]19^{2}[/tex] + [tex]31^{2}[/tex]
[tex]19^{2}[/tex] + [tex]31^{2}[/tex] = 1322
ZX = YW/2 = VX/2
Measures of the different sides of the rectangle will be,
YX = 31 units
WX = 19 units
VW = 36.36 units
ZX = 18.18 units
VX = 36.36 units
Quadrilateral VWXY is a rectangle.
Properties of a rectangle,
Opposite sides of a rectangle are equal.Diagonals of a rectangle bisect each other.Diagonals are equal in measure.YX = VW = 31 units
VY = WX = 19 units
By applying Pythagoras Theorem in right triangle ΔWXY,
(Hypotenuse)² = (Leg 1)² + (Leg 2)²
(WY)² = (WX)² + (XY)²
YW = [tex]\sqrt{19^2+31^2}[/tex]
= [tex]\sqrt{1322}[/tex]
= 36.36 units
ZX = [tex]\frac{1}{2}(YW)[/tex]
= [tex]\frac{1}{2}(36.36)[/tex]
= 18.18 units
VX = YW = 36.36 units
Learn more,
https://brainly.com/question/9655204
PLEASE HKEP I AM BEGGING YOU ASAPPP I WILL GIVE I PRONIS I WILL GIVE EXTRA POINTS AND BRAINLIEST!!!!!!!
D(2)
C(6)
A(5)
B(4)
https://www.mathsisfun.com/definitions/coefficient.html
Answer:
1 eafbcd 2 12
St 3 \ep-by-step explanation:
plz help this is due tomorrow
[tex](4 + \sqrt{2} )(6 - \sqrt{2} )[/tex]
Answer:
22 + 2|/2
Step-by-step explanation:
24 - 4|/2 + 6|/2 - |/4
24 + 2|/2 - 2
24 - 2 + 2|/2
22 + 2|/2
note: |/ means root
couldn't find a sign for root so just makeshift with that
hope it helps.
Can someone please help me with this it’s really important
Answer: i would say 30 + 20 - 10 - 20 - 0
sorry if i am wrong
Step-by-step explanation:
Can someone help me
Answer:
26.6666667
Step-by-step explanation:
if someone can do this? thanks<3
Answer:
x=16y=76r=494n=108m=45t=793b=81z=352x=33p=564y=109k=126Step-by-step explanation:
I used a calculator. :)
Can someone help find the center and the equation
Answer: (x + 4)^2 + (y - 3)^2 = 50
Step-by-step explanation:
Given: x^2 + y^2 + 8x - 6y - 25 =0, which the general form of the circle.
Solution:
Complete the square formula: (x - h)^2 + (y - k)^2 = r^2
Group similar term together on the left side of the equation and move the constant to right side of the equation ( remember to change the sign of the constant.
x^2 + y^2 + 8x - 6y - 25 =0
x^2 + 8x + y^2 - 6y = 25
Complete the Square: (x^2 + 8x + _____) + (y^2 - 6y + _____) = 25
Take half of the coefficient of the linear term for each variable, square the quotient, and add the answer to both side of the equation.
half of the coefficient of the linear term: ( 8/2)^2 = 16 and (-6/2)^2 = 9
(x^2 + 8x + 16) + (y^2 - 6y + 9) = 25 + 16 + 9
Each quality is a trinomial square and need to be factored
(x + 4)^2 + (y - 3)^2 = 50
Evaluate the expression shown below and write your answer as a fraction in simplest form 2/9 - 11/15
Plz solve asap
Answer:
-23/45
Step-by-step explanation:
2/9-11/15
2×5/9×3-11×3/15×3
10/45-33/45
10-33/45
-23/45
decimal form:-0.51
Answer:
217247812842747328hjedhsba309
Step-by-step explanation:
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Each length of the side of square B is twice the length of the side of square A.
John says that this means the area of square B is twice the area of square A.
Is John right?
Justify your answer.
Answer:
yes
Step-by-step explanation:
because the area of square is l² so John is righrt
Answer:
Area of square= ²
Area of square A= ²
Area of square B = ?
let the length of square A = x
Area of square A =x²
then the length of square B = 2x
Area of square B =2x²
x²means area of square A
so Area of square B =2 times area of squarf A
The cafeteria bought 200 French bread pizzas for lunch next week. If they had bought the pizza last week while it was on sale, it would only have cost $ 2.00 per pizza. Now, 7 days later, the price is $ 3.78 per pizza. How much money could they have saved if they bought the pizza last week?
Answer:
$356
Step-by-step explanation:
To solve this problem, use this: (200 * 3.78) - (200 * 2)
(200 * 3.78) - (200 * 2)
200 * 3.78 is the same as 2 * 378, which is 756.
756 - (200 * 2)
200 * 2 is the same as 4 * 100, which is 400.
756 - 400
Subtract 400 from 756 to get 356.
356
If they brought the pizza last week, the school could have saved $356.