Answer:
Q1
The exponential growth model for frogs:
F(x) = 100(1.22)ˣ,F- number of frogs, x- number of years, 1.22 - growth factor
Calculations:
F(5) = 100(1.22)⁵ = 270 a) F(10) = 100(1.22)¹⁰ = 730b) F(20) = 100(1.22)²⁰ = 5335All numbers rounded
Q2
The exponential growth model for bacteria:
B(x) = 10(1.8)ˣB- number of bacteria, x- number of hours, 1.8 - growth factor
Calculations:
a) B(5) = 10(1.8)⁵ = 189b) B(24) = 10(1.8)²⁴ = 13382588c) B(168) = 10(1.8)¹⁶⁸ = 7.68 * 10⁴³All numbers rounded
Q3.
The exponential growth model for fish:
F(x) = 821(1.02)ˣ,F- number of fish, x- number of months, 1.02 - growth factor
Calculations:
a) F(12) = 821(1.02)¹² = 1041b) F(120) = 821(1.02)¹²⁰ = 8838All numbers rounded
Answer:
a) F(12) = 821(1.02)¹² = 1041
b) F(120) = 821(1.02)¹²⁰ = 8838
All numbers rounded
Find the area of the shape shown below.
2
2
2
2
2
units2
Answer:
the area is 32
Step-by-step explanation: 2 x 2 x 2 x 2 x 2= 32
Able is carving a rectangular pyramid clock out of green quartz. The length of the rectangle base is 14 cm and the height of the clock is 9cm. If the clock needs to have a volume of 168cm3 what is the width of the base
Answer:
14cm
Step-by-step explanation:
Volume of the pyramid = Base area × height/3
V = BH/3
Base area = 14×width
Height= 9cm
Volume = 168cm³
Substitute into the formula
168 = 4w×9/3
36w = 168×3
36w = 504
w = 14cm
Hence the width of the pyramid is 14cm
Determine the slope of the line passing through the points (1, 2) and ( – 2, – 2).
Answer:
4/3
Step-by-step explanation:
Use long division to write 5/16 as a decimal number
15 points
Answer:
= 0.312
Step-by-step explanation:
Solution:
We have the equation:
5 ÷ 16 = 0.312
Calculated to 3 decimal places.
0. 3 1 2
1 6 5. 0 0 0
− 0
5 0
− 4 8
2 0
− 1 6
4 0
− 3 2
8
What is 7.8 * 7.8 * 7.8 * 7.8 * 7.8 as a power
Answer:
7.8^5
Step-by-step explanation:
Find the product. 7. $458.29 × 6.3% 8. $280.12 × 7.75%
Answer:
7. 28.8722
8. 21.7093
Step-by-step explanation:
458.29 x .063=28.8722
21.7093 x .0775= 21.7093
Which of the following is an integer? Select all correct answers.
Select all that apply:
496
−5
8
−10
293
7
Answer:
integers
-52, -17, -8, -4
0, 1, 2, 18, 72
There's no integers -_-
(づ ̄ ³ ̄)づdon't worry Check it
In 2010, Kim-Ly earned $17.50 for 2 hours of work. Which table shows the relation ship between the number of hours worked and Kim-Ly’s total earnings, if her rate per hour is constant.
Answer:
8.75 an hour
Step-by-step explanation:
The perimeter of an isosceles triangle is 12a + 8b
and the base is 2a - 4b. What is the length of
each side?
Work out 5/9 x 8/11
Answer:
40/99
Step-by-step explanation:
Answer:
5/9×8/11
Step-by-step explanation:
40/99
Assume that random guesses are made for eight multiple choice questions on an SAT test, so that there are n= 8 trials, each with probability of success (correct) given by p=0.3. Find the indicated probability for the number of correct answers. Find the probability that the number x of correct answers is fewer than 4
Answer:
0.80589
Step-by-step explanation:
So all of the numbers of correct answers less than 4 are 0,1,2,3
We need to calculate the probability for each separately and then add them together.
To find the probability we have to first find the combination. We know that there’s n=8 trials and that p=0.3. So 1-0.3 gives us 0.7.
The combination formula is: ! / (!(−)!)
So the n would always =8, and the r would be 0,1,2,3. So you would have to calculate it for 0,1,2,3 Separately. This can be done by hand or you can use a simple combinations calculator online.
For 0;
The combination is 1,
1 x 0.3^0 x 0.7^8-0 =
0.057648
For 1;
The combination is 8,
8 x 0.3^1 x 0.7^8-1 =
0.19765
For 2;
The combination is 28
28 x 0.3^2 x 0.7^8-2 =
0.296475
For 3;
The combination is 56
56 x 0.3^3 x 0.7^8-3 =
0.254122
All that’s left is to add these four numbers;
0.057647 + 0.19765 + 0.296475 + 0.254122 = 0.80589
Using the principle of binomial probability, the probability of correct answers fewer than 4 is : 0.8059
Recall the binomial probability formula :
P(x = x) = nCx * p^x * q^(n-x)
Where :
n = number of trials x < 4 p = probability of success = 0.3q = 1 - p = 1 - 0.3 = 0.7P(x < 4) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3)
Using a binomial probability calculator :
P(x = 0) = 0.0576P(x = 1) = 0.19765P(x = 2) = 0.29648P(x = 3) = 0.25412Therefore,
P(x < 4) = (0.0576+0.19765+0.2965+0.25412) = 0.8059Learn more : https://brainly.com/question/12474772
1/10+10/12= Any help would be apreciated right now!
Answer:
I got the answer 14/15 or 0.93333
Step-by-step explanation:
If I'm wrong plz tell, thx
Twenty-one more than three times a number is equal to the difference between 46 and twice the number. Find the number.
Answer: The number is =5
Step-by-step explanation:
21 + 3X = ("Difference means subtract.) 2X
Twenty-one more than three times a number is equal to the difference between 46 and twice the number
Then write the proper equation: 21+3x= 46-2x.
Next get rid of the smaller "x" so 3x+2x=46-25
solve X
5x=25
x=5
Thank you
what is (-9 - 6 x 5) x 10 = ?
Answer:
-390 is your answer
Answer:
Step-by-step explanation:
PEDMAS - Parenthesis , Exponents , Division, Multiplication , Addition and subtraction.
(-9 - 6 *5) *10 = (-9 - 30) *10
= -39 *10
= -390
How can I get equation x+4=-12 from equation x/4+1=-3
Answer:
All terms of the equation were divided by 4.
Step-by-step explanation:
When we are given a equation, it is possible to multiply or divided all of the terms of the equation by a factor.
In this question:
We are given:
[tex]x + 4 = -12[/tex]
And end up with:
[tex]\frac{x}{4} + 1 = -3[/tex]
Which means that all terms of the equation were divided by 4.
What is the asymptote for the function?
I tried to do it but I can’t
Answer:
Horizontal Asymptote → y = 17
Step-by-step explanation:
Given function is f(x) = [tex]\frac{2}{5}(16)^{x+13}+17[/tex]
Here, the parent function is g(x) = [tex]\frac{2}{5}(16)^x[/tex]
Parent function has a horizontal asymptote as y = 0
If the function g(x) is shifted 13 units left and 17 units up, new function will be f(x) = [tex]\frac{2}{5}(16)^{x+13}+17[/tex]
When the parent function is shifted 17 units up, horizontal asymptote shifts 17 units upwards.
Therefore, horizontal asymptote of the image function becomes y = 17.
Start at 2 Create a pattern that adds 2 to each number and then multiply by three. Stop when you have a five numbers
Answer:
2,12,42,132,402
Step-by-step explanation:
Answer:
2,4,12,36,108
Step-by-step explanation:
Please help Please I can’t fail this test
Use elimination to solve the system
2x+y=-1
-3x+2y=12
(They are the same problem please help me please)
Answer:
(-2, 3)
Step-by-step explanation:
I believe (-2, 3)
What is the total measurement of the angels in a triangle?
Answer:
The sum of the three angles of any triangle is equal to 180 degrees.
Step-by-step explanation:
Mark brainliest please if my answer is correct thank you and have a nice day
please help me please i really need help please
Answer:
x= -6
y= -5
Step-by-step explanation:
(x,y) = (-6, -5)
Answer:
(-6,-5)
x=-6
y=-5
Step-by-step explanation:
9x-7y=-19
5x-3y=-15
When solving with elimination, you multiply both equations by a number to get two terms to cancel each other out.
We can try to get the y's to cancel out. The LCD of 7 and 3 is 21, so we multiply one equation by 3 and another by -7 (to get one -21y and one 21y)
{9x-7y=-19}*3=
27x-21y=-57
{5x-3y=-15}*(-7)=
-35x+21y=105
Now, we combine the two equations.
27x-21y=-57
-35x+21y=105
-8x=48
Now, solve for x.
-8x=48
x=-6
Now we can plug x into one of the original equations to get y.
I will use 9x-7y=-19.
9(-6)-7y=-19
-54-7y=-19
Add 54 to both sides.
-7y=35
y=-5
We can put these values into an ordered pair: (-6,-5).
Steven has 1/3 of package of biscuit mix left.He will use equal para of the leftover mix to make three watches of biscuits. If he uses all of the mix, what fraction of the original package will he use for each batch?
Answer:
1/9
Step-by-step explanation:
(1/3)/3 = 1/9
The base of the following pyramid is a square. If the surface area of the pyramid is 896 in^2, what is it's volume? Side base length is 14 and distance to middle is 7.
Answer: 457.3
Step-by-step explanation:
[tex]V=\frac{lwh}{3}[/tex]
[tex]V=\frac{14*14*7}{3}[/tex]= 457.3
Answer:
V= 1568 in^3
Step-by-step explanation:
B = 14^2 = 196
896 = 14^2 + 2(14) (l)
896 = 196 + 28 (l)
700 = 281 l
25 = l
7^2 + b^2 = 25^2
49 = 625
24
1/3 (196)(24) = 1568
solve the equation for x
3/10x-2/5=-1
What does x equal?
Answer: -2
Step-by-step explanation:
3/10x -2/5= -1
Someone help I will mark brainless please hurry
Answer:x=-7
Step-by-step explanation:
Answer:
In this problem you have to get rid of the 13 so you take the opposite of the number which is -13 and subtract it by 13 and when you do this you have to do the same thing on the other side so you would do 48-13 and that would give you get 35 so -5x=35. This is not the same because on B it says positive 5x, and on A it is negative 5x.
Step-by-step explanation:
Please help i am new here
Answer: 1. 3/8-1/4=1/8
2. 3/8+1/4=5/8
3. x=5/8
Step-by-step explanation: 1. you have to subtract 3/8 by 1/4 because you have to use the largest number to subtract for the smallest number so 3/8-1/4=1/8
2. Add by adding 3/8 by 1/4 because you have to find the value of x so 3/8+1/4=5/8
3. look at number 2. and the answer is x= 5/8
plz mark me brainliest
you can mark me brainliest when 2 people answered and on my answer look on the bottom right and tap the crown. thx!
It is possible to multiply a 3 X 5 matrix and a 3 X 5 matrix.
True
False
Answer: true
Step-by-step explanation:
if q= ut + ½ ft find q when u = 20, t= 10 and f= 13
Answer:
q=200+13×5=200+65=265
What is the description of 2m+7
Answer:
two times a number (m) is increased by 7
Step-by-step explanation:
Please help what is 80 less than x?
Answer:
x - 80
Step-by-step explanation:
"80 less than x"
__________________
We have the expression 80 less than x. X has no artifical value therefore we do nothing with it. Based off of the wording of the sentence, it says that the total of this unknown number is 80 less than x. Meaning the 80 has been subtracted by x to get this unknown number. Therefore,
x - 80
Find g in the right triangle.
Answer:
34 degrees
Step-by-step explanation:
Before solving for g, we must remember that the inside of a triangle will always equal 180 degrees. Also, keep in mind that the little square at the top left corner of the triangle represents 90 degrees, so we can add both the existing degrees we know of:
90 + 56 = 146
And to find g, we simply subtract 180 by 146:
180 - 146 = 34
So, g is 34 degrees
Hope this helps :)