Answer:
Step-by-step explanation:
The answer is 3
The reasonable domain is all real numbers greater than or equal to 0.
What is domain?The collection of all conceivable independent values that a function or relation may take is known as its domain.
Given:
In a research experiment,
the population of a colony of bacteria doubles every hour.
Here, we can use exponential growth function.
The population, f(x), of the colony after x hours can be modeled by the function f(x)=25 ⋅ 2ˣ.
The value of x can not be negative because it represents time.
The domain of the function is all achievable values.
So, the domain is all real numbers greater than or equal to 0
Therefore, the domain is all real numbers greater than or equal to 0.
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Suppose that 2000 is invented at a rate of 3.5%, compounded semiannually. Assuming that no withdrawals are made, find the total amount after 4 years. Do not round any interminate computations, And round your answer to the nearest cent.
Answer:
$2,297.76
Step-by-step explanation:
Present value: P = 2000
Future value: F
Annual interest rate: r = 3.5% = 0.035
Time: t = 4 years
Number of compounding periods per year: n = 2
[tex] F = P(1 + \dfrac{r}{n})^{nt} [/tex]
[tex] F = 2000(1 + \dfrac{0.035}{2})^{2 \times 4} [/tex]
[tex] F = 2000(1 + 0.0175)^{8} [/tex]
[tex] F = 2000(1.0175)^{8} [/tex]
[tex] F = 2000(1.148881783) [/tex]
[tex] F = 2297.76 [/tex]
Answer: $2,297.76
Given z1 = 9+9 (square root) 3i and z2 = 2+ (square root) 3i, what is z2-z1?
a) 8+7 (square root) 3i
b) -7-8 (square root) 3i
c) 7+10 (square root) 3i
d) -7+10 (square root) 3i
Answer:
B
Step-by-step explanation:
Answer:
Answer is B
Step-by-step explanation:
took the test edg2021
please help with geometry! #9!!
Answer:
6, 7, 8 are correct
9. 2) TU = 58Step-by-step explanation:
[tex]XV=\dfrac{RS+TU}2\\\\\\44=\dfrac{30+TU}2\\\\44\cdot2=30+TU\\\\88-30=TU\\\\TU=58[/tex]
HURRYYYYY
When substituting 2x - 4 for y in the
second equation, what will the new
equation look like?
y = mx + b
y = 2x - 4
y = -3x + 1
2x - 4 = -3x + 1
Answer:
y=2x-4
Step-by-step explanation:
sorry if I get this wrong I'm slowly understanding slope intercept form
(EASY MULTIPLE CHOICE I BEG YOU)
Please solve for x. Then, circle whether each angle pair is complementary or supplementary.
Answer:
This is complematry and x=7
Step-by-step explanation:its complematry because they both add up to make 90 degree angle right angle
8+5=13
90-13=77
3x+8x=11x
77 divided by 11x =7x
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Determined the perimeter and area of the following figure. Use 3.14 for pi
Step-by-step explanation:
first you will put a line in the missing part of the inside of the figure.Once you do you will see that there are two figures.
to find the diagonal of the half-circle : 7cm-2cm-1cm=4cm
Now use the area formulas for each figure.The area of the semicircle is pi×d/2.The area of the rectangle is a×b.
A of semicircle =3.14×4cm/2=6.28cm²
A of rectangle =7×3=21cm²
to find the perimeter of them:
P of semicircle = 3.14×4=12.56cm
P of rectangle =2(7+3)=14+6=20cm
HI SOMEONE PLEASE HELP I HAVE NO IDEA HOW TO DO THIS :(( i need to know the measure of angles 13 and 12 then the measure of the line segment SG. Thank you sm in advance
Answer:
Angle 13 equal 90 and Angle 12 equal 45
Step-by-step explanation:
This is a square so all of the corner angles and the diagonals angles measure 90 degrees. A square also forms 4 congruent isoceles triangles or technically 45-45-90 triangles. So that means the following angles measure 45 degrees since they share a point
Angle 5,6,7,8,9,10,11,12. So the measure of 12 is 90 degrees.
To find the measure of 13, in a square diagonals bisect each other and form perpendicular lines so that means every angle in the middle of the square measure 90 degrees.
Using that
Angle 13,15,16 and R measure 90 degrees so Angle 13 equal 90.
10x + 38
40 + 7x
determine the value of x
Answer:
x= 2/3
Step-by-step explanation:
if they are equating,
10x +38 = 40+7x
10x-7x = 40-38
3x = 2
x= 2/3
Answer:
x = 0.6666666667
Step-by-step explanation:
Simplifying
10x + 38 = 40 + 7x
Reorder the terms:
38 + 10x = 40 + 7x
Solving
38 + 10x = 40 + 7x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-7x' to each side of the equation.
38 + 10x + -7x = 40 + 7x + -7x
Combine like terms: 10x + -7x = 3x
38 + 3x = 40 + 7x + -7x
Combine like terms: 7x + -7x = 0
38 + 3x = 40 + 0
38 + 3x = 40
Add '-38' to each side of the equation.
38 + -38 + 3x = 40 + -38
Combine like terms: 38 + -38 = 0
0 + 3x = 40 + -38
3x = 40 + -38
Combine like terms: 40 + -38 = 2
3x = 2
Divide each side by '3'.
x = 0.6666666667
Simplifying
x = 0.6666666667
Find the geometric mean of the numbers. If necessary, give the answer in simplest radical form.
25 and 29
The geometric mean is .
A large school district held a district-wide track meet for all high school students. For the 2-mile run, the population of female students participating follows a Normal distribution and had a mean running time of 8.8 minutes with standard deviation of 3.3 minutes. The population of male students participating also follows a Normal distribution and had a mean running time of 7.3 minutes with standard deviation 2.9 minutes. Suppose 8 female students and 8 male students who participated in the 2-mile run are selected at random from each population. Let xF represent the sample mean running time for the female students, and let xM represent the sample mean running time for the male students. a. Find and interpret the mean and standard deviation of the sampling distribution of the difference in sample means xF − xM. b. Find the probability of getting a difference in sample means xF − xM that is less than 0.
Answer:
If the question has
What are the mean and standard deviation of the sampling distribution of the difference in sample means x¯F−x¯M ?
It is E
Step-by-step explanation:
AP classroom uses the example with different end questions.
The mean and standard deviation of the sampling distribution of the difference in sample means xF − xM is 1.5 minutes(mean) and 1.533 minutes(std. dev) approx The probability of getting a difference in sample means xF − xM that is less than 0 is 0.0239 approx.
What is the distribution of random variable which is sum of normal distributions?Suppose that a random variable X is formed by n mutually independent and normally distributed random variables such that:
[tex]X_i = N(\mu_i , \sigma^2_i) ; \: i = 1,2, \cdots, n[/tex]
And if
[tex]X = X_1 + X_2 + \cdots + X_n[/tex]
Then, its distribution is given as:
[tex]X \sim N(\mu_1 + \mu_2 + \cdots + \mu_n, \: \: \sigma^2_1 + \sigma^2_2 + \cdots + \sigma^2_n)[/tex]
For this case, it is given that:
Distribution of time taken for distance ran by female is Normal distribution and had a mean running time of [tex]\mu_F[/tex] = 8.8 minutes with standard deviation of [tex]\sigma_F[/tex] = 3.3 minutes.Distribution of time taken for distance ran by male is Normal distribution and had a mean running time of [tex]\mu_M[/tex] = 7.3 minutes with standard deviation of [tex]\sigma_M[/tex] = 2.9 minutes.Samples of size n = 8 are taken from both population.Estimated sample mean = population mean
Estimated sample standard deviation = population std. dev / √n
where n = sample size
Thus, we get:
[tex]\overline{x}_F = \mu_F = 8.8 \: \rm minutes[/tex][tex]s_F = \sigma_F/\sqrt{8} = 3.3/\sqrt{8} \approx 1.167 \: \rm minutes[/tex][tex]\overline{x}_M = \mu_M = 7.3 \: \rm minutes[/tex][tex]s_M = \sigma_M/\sqrt{8} = 2.9/\sqrt{8} \approx 1.053\: \rm minutes[/tex]For sample of females, the distribution is [tex]X_F \sim N(\overline{x}_F = 8.8, s_F = 3.3/\sqrt{8})[/tex]
For sample of males, the distribution is [tex]X_M \sim N(\overline{x}_M =7.3, s_M = 2.9/\sqrt{8})[/tex]
Also, if we take distribution of difference between sample means([tex]X_F - X_M = X_F + (-X_M)[/tex], then it would be normal with mean = 8.8-7.3 = 1.5 minutes (as mean for [tex]-X_F[/tex] will be -7.3 but same standard deviation) as factor gets squared for affecting standard deviation and variance)
and standard deviation is: [tex]s = \sqrt{s_F^2 + s_M^2} = \sqrt{3.3^2/8 + 2.9^2/8} \approx 1.553 \: \rm minutes[/tex]
The distribution of difference between sample means is [tex]X_F - X_M \sim N(\overline{x} = 1.5, s = 1.533)[/tex] approximately
We need [tex]P(X_F - X_M < 0)[/tex]
Converting this distribution to standard normal distribution, we get:
[tex]P(X_F - X_M < 0) = P(Z < \dfrac{0 - \overline{x}}{s} \approx -1.98)[/tex]
From the z-tables, we get the p value for Z = -1.98 as 0.0239
Thus, we get:
[tex]P(X_F - X_M < 0) = P(Z < \dfrac{0 - \overline{x}}{s} \approx -1.98) \approx 0.0239[/tex]
Thus, the mean and standard deviation of the sampling distribution of the difference in sample means xF − xM is 1.5 minutes(mean) and 1.533 minutes(std. dev) approx The probability of getting a difference in sample means xF − xM that is less than 0 is 0.0239 approx.
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What is the volume of the figure
Answer:
264 cubic cm
Step-by-step explanation:
(8x5x5)+(8x8x1)
(200)+(64)
Volume = 264 cubic cm
determine an equation of a line in standard form that is perpendicular lo the line 2y = -x + 3 and passes through the point (4, 5).
Use place value blocks 60rows of cornstalks type Agrows better so there are8 cornstalks in each row type B does not grow as well so they are only 3 cornstalks in each row
Answer:
Each field has cornstalks = 660
Step-by-step explanation:
P.S - The exact question is -
As given,
There are 2 types of corn - Type A and Type B
Each field has 60 rows
In each row -
Type A corn grow = 8
Type B corn grow = 3
⇒Total corn grow in each row = 8 + 3 = 11
Now,
1 row = 11 cornstalks
⇒60 rows = 60×11 cornstalks = 660 cornstalks
∴ we get
Each field has cornstalks = 660
7) When Jake started going to the gym he could lift 25 lbs. One month later he could lift 45 lbs. What is the percent of change in the number of pounds he can lift?
Answer:
80% increase
Step-by-step explanation:
45 - 25 = 20
20/25 = 0.8
0.8 X 100 = 80
In her first 20 games, Jennie served 4 aces. If she continues to serve aces at this rate, how many aces will she have after 160 games?
Answer:
32 aces
Step-by-step explanation:
4/20= x/160
once you set up this proportion you can cross multiple to get:
20x= 640
then just solve for x:
x= 32
Emanuel biked 6 3/4 miles, and Layla biked 4 1/2 miles.
How many times the length of
Layla's bike ride was Emanuel's bike ride?
Answer:
1 1/2 times more
Step-by-step explanation:
6.75 ÷ 4.5 = 1.5
In a lilac paint mixture, 40$ of the mixture is white paint, 205 is blue, and the rest is red. There are 4 cups of blue paint used in a batch of lilac paint. If you get stuck, consider using a tape diagram.
Answer:
White paint is 8
Blue paint is 4
Red paint is 12
The recipe will yield 24 cups of lilac paint if you are talking about the problem i had earlier on my math homework
Find the length of WV
Answer:
I believe the answer would be 20.
Step-by-step explanation:
28/7 = 4
5*4 = 20
Pls mark brainliest <3
0Answer: The answer is 20
Step-by-step explanation:
akayla buys some tools at the local hardware store. Her total is $50 but she has a 15% off coupon. How much did she save with her coupon? Enter your answer to the nearest cent.
Answer:
$7.50
Step-by-step explanation:
$50 x .15 = $7.50
$7.50 estimated to nearest cent is $7.50
How many real solutions are there to the equation x2 - 7x + 12 = 0?
о
оооо
но со
1. What is the domain of the function graphed on the grid?
Answer:
[-2,4]
Step-by-step explanation:
The domain is just asking for all the possible x values
we can see that the lowest x value is -2 and the highest is 4 which means our answer is
[-2,4]
Answer:
Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the
x
-axis. The range is the set of possible output values, which are shown on the
y
-axis. Keep in mind that if the graph continues beyond the portion of the graph we can see, the domain and range may be greater than the visible values.
We can observe that the graph extends horizontally from −5 to the right without bound, so the domain is [−5,∞). The vertical extent of the graph is all range values 5 and below, so the range is (−∞,5]. Note that the domain and range are always written from smaller to larger values, or from left to right for domain, and from the bottom of the graph to the top of the graph for range.
The inverse, f'(x), of f(x) =
X + 5
Х
can be written as
5
x-1
a) Find f(2)
b) Find f'(2)
Step-by-step explanation:
Given
[tex]f(x) = \frac{x + 5}{x} [/tex]
So
[tex]f(2) = \frac{2 + 5}{2} \\ = \frac{7}{2} [/tex]
Now
[tex] {f}^{ - 1} (x) = \frac{5}{x - 1} [/tex]
So
[tex] {f}^{ - 1} (2) = \frac{5}{2 - 1} \\ = \frac{5}{ 1} \\ = 5[/tex]
Hope it will help :)❤
HELPPPP!!!!!
A rare baseball card just sold for $12,000. Sports experts anticipate this baseball card to increase in value by 9%
each decade.
According to the experts, about how much should the baseball card be worth in 30 years?
The baseball card be worth in 30 years is: $159212.14
We have the following information available from the question is:
A rare baseball card just sold for $12,000
This baseball card to increase in value by 9%
each decade.
The principal = $12,000
Rate of interest (r) =9%
Time period (t) = 30 years
The number of times per year the interest is compounded (n) = 1
We know the formula is:
[tex]=P(1+\frac{r}{n} )^n^t[/tex]
Plug all the values, we get:
[tex]=12000(1+\frac{\frac{9}{100} }{1} )^3^0[/tex]
Then, Evaluate the equation/expression:
=> $159212.14
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how many centimeters is the growth rate of the plant per week? Please i really need this. PICTURE WHEN YOU CLICK
Answer:
4 and 3/4 YOU GOT THIS!!
Step-by-step explanation:
Answer:
I believe the answer would be 1/2 a centimeter per week, hope this helps
PLZ HELP
could you plz answer question 2
1. A rabbit started at point 0 and made 3 jumps: a jump of 4 units, then a jump of 2 units, and then a jump of 1 unit. We do not know the direction of either jump. Where on the number line can this rabbit be now?
2. Next time, the rabbit from the previous problem started at 10. Where on the number line can he be after the same three jumps?
Answer:
17
Step-by-step explanation:
10+4=14
14+2=16
16+1=17
I hope this helps you
Answer:
17 units
Step-by-step explanation:
whats 100*100??? please help
Answer: 100*100=10,000
thanks for the points :))
Ciara is constructing a tangent line from a point outside the circle as shown. image Which of the following BEST describes the actions that should be in Step 2? A. Construct another circle centered about point B. B. Place point C on the circle and construct a line connecting points B and C. C. Construct the perpendicular bisector of line AB. D. Place point C on the circle and construct the angle bisector of ABC.
Answer:A
Step-by-step explanation:
(HELP ASAP GEOMETRY) Find the length of the midsegment. The diagram is not to scale.
Answer:
D?
Step-by-step explanation:
Simplify
7x^0 y^-2 (2y^4)
A. 14xy^2
B. 9y^2
C. 14/y^2
D. 14y^2
Answer:
the answer is d
Step-by-step explanation:
7*y^-2*2y^4
D. 14y^2
Step-by-step explanation:
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