At the end of the third year the population of beetles will be 11,576beetles
Exponential equationsThe standard form of an exponential function is given as:
y = ab^t
Given the following parameters
initial population 'a" = 10,000 beetles
Time = 3 years
rate b = 1.05
Substitute into the formula
y = 10,000(1.05)^3
y = 10,000(1.1576)
y = 11,576 beetles
Hence at the end of the third year the population of beetles will be 11,576beetles
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what is the area in square centimeters of the isosceles trapezoid below?
pls help me find all missing sides and angles. ;-;
Answer:
see explanation
Step-by-step explanation:
the sum of the 3 angles in the triangle = 180° , then
∠ BAC + 51° + 90° = 180°
∠ BAC + 141° = 180° ( subtract 141° from both sides )
∠ BAC = 39°
using the tangent ratio in the right triangle
tan51° = [tex]\frac{opposite}{adjacent }[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{AC}{12.8}[/tex] ( multiply both sides by 12.8 )
12.8 × tan51° = AC , then
AC ≈ 15.8 ( to 1 dec. place )
using the cosine ratio in the right triangle
cos51° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{12.8}{AB}[/tex] ( multiply both sides by AB )
AB × cos51° = 12.8 ( divide both sides by cos51° )
AB = [tex]\frac{12.8}{cos51}[/tex] ≈ 20.3 ( to 1 dec. place )
Use the binomial formula to find the coefficient of the q22p² term in the expansion of (q-2p)24.
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The density of iron is 7.8 g/cm3. an iron beam has a volume of 10,504 cm³. what is the mass of the iron beam? enter your answer as a decimal in the box.
Under the assumption of uniform iron beam and definition of uniform density, the total mass of the iron beam is equal to 81931.2 grams.
How to determine the mass of the iron beam
Let suppose that the iron beam has an uniform density, the mass of the iron beam (m), in gram, is equal to the product of its density (ρ), in grams per cubic centimeter, and its volume (V), in cubic centimeters:
m = ρ · V (1)
If we know that ρ = 10504 cm³ and V = 7.8 g/cm³, then the mass of the iron beam is:
m = (7.8 g/cm³) · (10504 cm³)
m = 81931.2 g
Under the assumption of uniform iron beam and definition of uniform density, the total mass of the iron beam is equal to 81931.2 grams.
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What is the area of this triangle in the coordinate plane?
25.0 units²
27.5 units²
50.0 units²
55.0 units²
Answer:
B.) 27.5²
Explanation:
This should be the triangle per say:
The Area of a Triangle can be found by using the formula- 1/2 x base x height.
In this case: 1/2 x 11 x 5
This equals 27.5².
Hopefully this may help.
Write'15 cubed' as a power.
Answer:
[tex]15^{3}[/tex]
Step-by-step explanation:
[tex]15^{3} =(15)(15)(15)=3375[/tex]
Hope this helps
What is the remainder of (x3+5x2−32x−7)÷(x−4) ? Enter your answer in the box.
Answer:
x^2+5x-36-7/x
Step-by-step explanation:
assuming x^3 and 5x^2
the food bill for meal at a restaurant is $12. THe sales tax is 6.5%, and you leave 15% tip. Wat is the total cost of the meal? PLEASE ANSWER FAST
Answer:
Step-by-step explanation:
12*6.5%=0.72
12+15%=13.8
0.72+13.8=14.52
The blue dot is at what value on the number line?
Answer:
I believe it would be -20 because the number line values skip by 2 or 3 each skip.
2. What is the new correction equation using the Equal Values Method for the following system below?
y=2x+1
y = 6-3x
Answer:
new equation: 2x +1 = 6 -3x
solution: (x, y) = (1, 3)
Step-by-step explanation:
The Equal Values Method of solving a system of equations has you equate the two expressions that are equal to the same variable or expression. Here, we have two expressions that are equal to y.
equationThe next step is to set them equal to each other:
2x +1 = 6 -3x
__
solutionThis equation can be solved by adding 3x -1 to both sides to get ...
5x = 5
Then dividing both sides by 5 gives ...
x = 1
Substituting into either expression for y gives its value:
y = 2x +1 = 2(1) +1 = 3
The solution to the system is (x, y) = (1, 3).
Which of these strategies would eliminate a variable in the system of equations? 5x + 3y = 9
4x - 3y = 9 Choose all answers that apply: (Choice A) A Subtract the top equation from the bottom equation. (Choice B) B Add the equations. (Choice C) C Subtract the bottom equation from the top equation.
Answer:
(Choice B) Add the equations
Step-by-step explanation:
The equations that were given are:
[tex]5x + 3y = 9 \\ 4x - 3y = 9[/tex]
If we add the equequatiothen the y variable would be eliminated:
[tex] +3y + (-3y) = 0[/tex]
A cube of side 3cm contains a sphere within it.if the sphere touches each face of the cube,find the volume of the space between the cube and the sphere
Answer:
6.86cm^3
Step-by-step explanation:
In order to do this problem you must first find the volume of the cube and subtract the volume of the sphere within it.
Volume of a cube is S^3
using the given 3×3×3= 27cm^3 volume of cube
volume of a sphere is 4/3 pir^3
4/3 × pi x 1.5^3 = 14.14cm^3 volume of sphere
now simply subtract
27-14.14= 6.86 cm^3
An ice cream shop will allow you to build your own sundae. You must choose from vanilla, chocolate, or strawberry ice cream. You must choose with or without bananas, with or without nuts, and must pick between chocolate and caramel syrup. How many sundaes can you build?
Answer: 24
Step-by-step explanation: 3*2*2*2=24
You can build 24 sundaes
Frank joined a fitness club. He paid a $50 registration fee, and dues are $12 per month. Which expression can be used to find the average monthly cost of an x-month membership at the club?
Step-by-step explanation:
b is the answer y=50+12x/x
As we can get the information
the registration fee is fixed, but the dues is
increased with the Month.
so the average monthly cost
answer y=50+12x/x
The sum of three consecutive intergers is 189 what are the integers
Answer:
62, 63, 64
Step-by-step explanation:
The middle integer of three consecutive integers will be the average of them. That is, it will be their sum, divided by 3.
__
The middle integer is 189/3 = 63.
The three consecutive integers are 62, 63, 64.
_____
Additional comment
If you'd like to write an equation that tells you the same thing, let x represent the middle integer. Then the lower one is x-1, and the upper one is x+1. Their sum is ...
(x-1) +x +(x+1) = 189
3x = 189 . . . . . . . . . . . . simplify
x = 189/3 = 63 . . . . . . . divide by the coefficient of x
(x-1) = 63-1 = 62 . . . . . . find the other two integers
(x+1) = 63+1 = 64
The elements magnesium (mg) and calcium (ca) play vital roles in maintaining human health, including processes like bone building. the majority of americans have lower levels of magnesium than health experts recommend. do some research in order to propose a possible hypothesis that could explain this phenomenon.
The reason why Americans have lower levels of magnesium than health experts recommend is because of the prevalence of processed food.
What are nutrients?The nutrients in food are those components of food that serve the purpose of nourishing our body. The nutrients present in processed food are different from those present in natural food.
Since many Americans eat a lot of processed instead of natural food, they often lack magnesium which is often absent in processed food.
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The first sequence rule is multiply by 4 starting from 7. The second sequence rule is add 5 starting from 8. What is the first number that appears in both sequences?
28
56
112
225
Answer:
28
Step-by-step explanation:
28 is the number that appears first for both.
For first sequence:
7 × 4 = 28 × 4 = 112 × 4 = 448
For second sequence:
8 + 5 = 13 + 5 = 18 + 5 = 23 + 5 = 28
What is the mean absolute deviation of 1, 2, 2, 3, 5, 6, 6, 8, 8, 9
Answer:
5
Step-by-step explanation:
1+2+2+3+5+6+6+8+8+9/10=5
PLEASE HELP!!!!
y = 1.4 (1.02)
a =
b=
r(as a percentage)
Answer:
a = 1.4 then b = (1+0.02) and r = 2%
Which equation is equal to y = 2x + 3 ?
the options are
y + 3 = 2x
y - 3 - 2x = 0
2x + y = 3
y + 2x = -3
The equation y = 2x + 3 is a linear equation, and the equivalent equation of y = 2x + 3 is y - 3 - 2x = 0
How to determine the equal equation?The equation is given as:
y = 2x + 3
Subtract 3 from both sides
y - 3 = 2x
Subtract 2x from both sides
y - 3 - 2x = 0
The above means that the equation y - 3 - 2x = 0 is equal to the equation y = 2x + 3
Hence, the equivalent equation of y = 2x + 3 is y - 3 - 2x = 0
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Can you please help me with these two lol. Im weak with this type of math. Brainlist to whoever helps. +40 points. lol
Answer:
See below ~
Step-by-step explanation:
Volume of prism :
Base Area x Height9 x 3 1/29 x 3.531 1/2 in³Volume of small-size box of dog treats :
3/10 x 3 1/4 x 7 1/2 x 123/10 x 13/4 x 15/2 x 123/10 x 13 x 15/2 x 31755/20351/487 3/4 in³A triangle has sides with lengths of 25 kilometers, 60 kilometers, and 61 kilometers. Is it a
right triangle?
yes
no
2. Determine the principal that will earn $294 in 5 years at 6% per annum simple interest.
Answer:
state the formula which is S.I =P×T×R
Below is the work a student completed with an error. Identify the step where the error first occured an
Step 1: (7 - 10) – 2(6y - 5) + 17
Step 2: (3) - 12y – 5 + 17
Step 3:3 - 12y + 12
Step 4: - 12y + 15
А
Step 2
B
Step 3
C
Step 4
D
Answer should be 12y - 9
E
Answer should be 12y + 9
C2022 Illuminate Education, Inc.
TM
Answer:
Step 2
Step-by-step explanation:
Solving
(7 - 10) - 2(6y - 5) + 17 [Step 1]3 - 12y + 10 + 18 [Step 2]3 - 12y + 28 [Step 3]-12y + 31 [Step 4]The error has occurred in Step 2.
The distribution of -2 to 6y and -5 gives -12y and 10 respectively.
Instead, the distribution has not happened between -2 and -5.
x^2+9=0? I need to find the solutions
Answer:
[tex]x=\pm 3i[/tex]
Step-by-step explanation:
[tex]x^2+9=0\\x^2=-9\\x=\pm 3i[/tex]
Because you cannot take the square root of a negative number to produce a real solution, then the result will be two conjugate complex numbers (hence the ± sign).
The dot plot below represents how long it takes students in an 8th grade math
class to get to school every morning.
COMMUTE TIME
......
...
:
...
G...
-
10
20
25
30
35
40
45
Minutes
What was the shortest commute time?
minutes
ann
Answer:
5 minutes
Step-by-step explanation:
GIVING BRAINLIEST TO WHOEVER GETS IT RIGHT!!!!
Answer: It should be 4 11/15 gallons.
Step-by-step explanation:
I multiplied both of the amounts.
what is the slope of the line 6x+5y=10 ?
Answer:
[tex]-\dfrac 65[/tex]
Step-by-step explanation:
[tex]~~~~~~~6x +5y = 10\\\\\implies 5y = 10-6x\\\\\implies y = \dfrac 15(10-6x)\\\\\implies y=-\dfrac65x+2\\\\\text{It is now in slope-intercept form(y=mx+c), where m is the slope.}\\ \\\text{Hence,}~ m = -\dfrac 65[/tex]
Graph the parabola.
y=(x+1)^2-3
Answer:
tap on the picture to see.Step-by-step explanation:
that should help
Answer:
I like to use Desmos when I graph parabolas. But I’m this case it would be 3 down and one to the left so the vertex should be (-1,-3) and then just graph x^2
Step-by-step explanation:
Hope this helps! ;-)
giving the following sequence: 21, 24.5, 28 write an equation for the nth term
Answer:
tₙ = (3.5x + 17.5)
