The distance will remain constant. Then the time taken by Adam with an average speed of 60 miles per hour is 9 hours.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
[tex]\rm Speed = \dfrac{Distance}{Time}\\\\\\[/tex]
The formula can be written as
Distance = Speed × Time
The time it takes Adam to drive to Disney World varies inversely with his average rate of speed.
If it takes Adam 10.8 hours at an average speed of 50 miles per hour.
If the average speed is 60 miles per hour, then the time taken will be
The distance will remain constant.
S₂ × T₂ = S₁ × T₁
60 × T₂ = 50 × 10.8
T₂ = 9 Hours
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A circle with a centre 0, has an equation x2 + y2 = 25
The coordinate A (4,3) is on the circumference of the circle.
Find the equation of the tangent at point A.
The linear equation of the tangent at point A is given by:
[tex]y = \frac{-4x + 25}{3}[/tex]
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem, to find the slope, we need to find the derivative at (4,3), using implicit differentiation. Hence:
[tex]2x\frac{dx}{dx} + 2y\frac{dy}{dx} = 0[/tex]
[tex]\frac{dy}{dx} = -\frac{x}{y}[/tex]
[tex]\frac{dy}{dx} = -\frac{4}{3}[/tex]
Then:
[tex]y = -\frac{4}{3}x + b[/tex]
We use point (4,3) to find b, hence:
[tex]y = -\frac{4}{3}x + b[/tex]
[tex]3 = -\frac{16}{3} + b[/tex]
[tex]b = \frac{25}{3}[/tex]
Hence, the equation is:
[tex]y = \frac{-4x + 25}{3}[/tex]
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There is a “family” of Z distributions?
Reason:
There is only one Z distribution, which is also known as the standard normal distribution. This distribution has a mean of mu = 0 and a standard deviation of sigma = 1. So unless you consider a family to only have one member, then I'd consider the statement your teacher gave you to be false.
On the other hand, if we were talking about the student T distribution, then this is a family of function curves. The reason being is that the degrees of freedom (df) will change the shape of said curve. The value of df will depend on the sample size n. Recall that df = n-1. As n gets larger, then the T distribution curves will slowly start to look like the Z distribution. For n > 30, the difference is so very minor that it's easier to swap over to the Z distribution even if you don't know sigma.
In other words, there is a family of T distribution curves in which slowly approach to mimicking the Z distribution curve when n is large (usually n > 30).
[4.8] 1 can find the area of a sector.
radius= 12 cm
to find:circumference and area of the circle.
solution:circumference:[tex]c = 2\pi \: r[/tex]
[tex]c = 2 \times \pi \times 12[/tex]
[tex]c = 75.39822 \: cm[/tex]
[tex]c = 75.4 \: cm[/tex]
area:[tex]a = \pi {r}^{2} [/tex]
[tex]a = \pi \times {12}^{2} [/tex]
[tex]a = 452.38934 \: {cm}^{2} [/tex]
[tex]a = 452.39 \: {cm}^{2} [/tex]
A sporting goods store wants to know what products their customers most want. There were four different suggestions about how to survey the customers.
Which method of sampling customers is least biased?
A Survey every other adult who brings children along to shop.
B Survey only customers who enter the store's shoe section.
C Survey every person who enters the sporting goods store between 10:00 and 11:30 AM.
D Survey every 10th person or group who enters the sporting goods store throughout the entire day.
Answer:
I believe the answer is C
Step-by-step explanation:
if its wrong, im sorry an I will delete the answer
Which of the following statements about the expected value of a random experiment is true? A. The expected value is the value you will get after one trial. B. The expected value is the average of the values after 100 trials. C. As the number of trials gets larger, the average of the trials approaches the expected value. D. The expected value never actually equals the average of the trials. Please select the best answer from the choices provided A B C D
Answer: C. As the number of trials gets larger, the average of the trials approaches the expected value
Step-by-step explanation:
The expected value is the weighted average of the results of an experiment. As more trials go on, the actual average is more likely to get closer to the expected value. The expected value can be explained as the theoretical result after infinity trials, so as the number of trials approaches infinity, the result will approach the expected value.
HELP NEEDED QUICK PLEASE
Answer:
49 degrees
Step-by-step explanation:
its the answer, trust
someone please help me with this asap!
In a field of wildflowers, the number of flowers is decaying exponentially. One year there are 1,200 flowers, and the next year there are 900 flowers.
The percent of decrease is 33 25 30 20 and the decay factor is 0.75 1.25 0.67 0.70
Find the amount of decay:
1200 - 900 = 300
Divide amount of decay by original amount:
300/1200 = 0.25
The percent of decay is 25 %
The decay factor is 1.00 a 0.25 = 0.75
Determine if (6, 2) is a solution to the system of equations.
2x + y = 10
3x + 2y = 10
Answer:
no
Step-by-step explanation:
plug 6 in for x and 2 in for y, as (x, y) = (6, 2)
first equation:
y = 1 * y
2(6) + 1(2) = 10
12 + 2 = 10
14 = 10
this is false
second equation:
3(6) + 2(2) = 10
18 + 4 = 10
22 = 10
this is false
for this to be a solution, it must fit into both equations. as this fits into neither, this is not a solution
アhi can you please help me
Answer:
C) 1.
Step-by-step explanation:
Calculator
I need help on this assignment
Answer:
C
Step-by-step explanation:
the root can be a minnimum of 0 otherwise the function would be imaginary, sqrt(x-1)+2 has a minimum of 2. This means that g(x), or y is greater than or equal to two.
Evaluate the expression below x=5. 3x+2•|x-8|-12
Answer:
39
Step-by-step explanation:
3*5=15
15+2=17
|x-8|=3
3*17=51
51-12=39
help me pleaseeeeeeeeeeeeeeeeeeee
Since the figure is a triangle, we must use the triangle area formula to solve the problem, which is [tex]A = \frac{1}{2} b h[/tex]. By using this formula, we can plug in the numbers shown. Then, we can multiply.
[tex]A = \frac{1}{2} * 5 *22[/tex]
[tex]A = \frac{1}{2} * 110[/tex]
[tex]A = 55^2[/tex]
The area of the triangle is 55 yards squared.
What is the perimeter of polygon ABCD?
OA. 28 units
OB. 32 units
OC. 36 units
OD. 44 units
See attached screenshot
:)
What is the coefficient of x in 2x+3?
Please answer?
Answer:
coefficient of x is 2
Step-by-step explanation:
genshin impact is the bestt
Answer:
2
Step-by-step explanation:
2x together is the variable term the x is the variable number and the number beside it is the coefficient and the other number is the constant
Jillian was asked to translate the expression 9 + n into words. She wrote “a number increased by nine.” Which best describes the accuracy of Jillian’s answer?
It is incorrect. The variable would come first in the expression “a number” (n) “increased by” (+) “nine” (9).
It is incorrect. The phrase “increased by” refers to the inequality symbol “greater than” (>), not addition.
It is correct. A number increased by nine (n + 9) is the same as nine increased by a number (9 + n).
It is incorrect. A number increased by nine refers to a multiplication expression (n times 9).
A number increased by nine (n + 9) is the same as nine increased by a number (9 + n), the correct option is C.
What is the pharse in mathematics?A mathematical phrase is a set of words or a combination of words and numbers that can be written as a mathematical expression.
Given
Jillian was asked to translate the expression 9 + n into words.
She wrote "a number increased by nine.
The expresion can be written into the two formate which is;
(n+9) and (9+n)
Hence, a number increased by nine (n + 9) is the same as nine increased by a number (9 + n), the correct option is C.
To know more baout pharse click the link given below.
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Answer:
Step-by-step explanation:
It is correct. I don't know that getting rid of the other choices is helpful. The vocabulary (increases) in common usage means "add." I think I would accept it as it is and give her full credit. You can overthink an answer.
Mitchell received a stipend at the beginning of the semester to buy textbooks. During the semester, he spent $430.84 on textbooks. He had $136.04 of the stipend left at the end of the semester.
x - $430.84 = $136.04
How much was Mitchell's stipend?
A.
$566.88
B.
$702.92
C.
$362.82
D.
$294.80
Answer:
$566.88
Step-by-step explanation:
$430.84 + $136.04 = $566.88
Answer:
294.80
Step-by-step explanation:
D
A major fishing company does its fishing in a local lake. The first year of the company's operations it managed to catch 154,000 fish. Due to population decreases, the number of fish the company was able to catch decreased by 5% each year. How many total fish did the company catch over the first 10 years, to the nearest whole number?
Answer:
1,116,500 Fish
Step-by-step explanation:
Pls give BRAINLIEST
A deck of cards contains 52 different cards a card is drawn at random what is the probability that the card drawn is a queen
Answer: 4/52 = 1/13
Step-by-step explanation: We know that a full deck of cards is 52 and there are 4 suits in a deck. Which means that there are 4 queens in each deck. Now, we can add that up together which gives us 4/52, and can be simplified down to 1/13 because 4/52 isn't the smallest we can get our fraction.
Hope this helps :)
Answer:
0.077
Step-by-step explanation:
1/13 in decimal form is 0.07692307692 which rounds up to 0.077 which will be your answer.
Mei Mei invested $1700 in an account that pays 3% interest compounded annually.
Assuming no deposits or withdrawals are made, find how much money Mei Mei
would have in the account 16 years after her initial investment. Round to the nearest
tenth (if necessary).
Answer:
$2728
Step-by-step explanation:
Use compound interest formula:
[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]
P = 1700, r = 0.03, n = 1, t = 16
Plug in numbers:
[tex]A = 1700(1 + \frac{0.03}{1})^{(1)(16)}[/tex]
Simplify:
[tex]A = 1700(1.3)^{16[/tex]
Use calculator:
[tex]A = 2728[/tex]
A recipe of chocolate chip cookies need 37 oz of oil for every 30 cups of flower. Approximately
how many ounces of oil do you need for 77 cups of flower?
Type your answer to the nearest whole ounce.
Answer:
95 oz
Step-by-step explanation:
37 oz / 30 c * 77 c = ~ 95 oz (see how the 'c' cancels and you are left with 'oz' ? )
can anyone help find the area pls ty
Answer:
See below ~
Step-by-step explanation:
Question #8
Area = 10 x 11.7Area = 117 m²Question #10
Area = 11 x 11Area = 121 m²Given f (x)= x-4/x^2+13x+36, which of the following is true? f(x) is decreasing for all x > –9 f(x) is increasing for all x < –9 f(x) is increasing for all x > –4 f(x) is decreasing for all x > –4
The simplified expression of the function [tex]f (x)= \frac{x-4}{x^2+13x+36}[/tex] is
[tex]f (x)= \frac{x-4}{(x+9)(x+4)}[/tex]. f(x) is increasing for all x > –4
What is a function?A function is defined as a relation between the set of inputs having exactly one output each.
The function expression is given as:
[tex]f (x)= \frac{x-4}{x^2+13x+36}[/tex]
Expand the denominator
[tex]f (x)= \frac{x-4}{x^2+4x+9x+36}[/tex]
Factorize the denominator
[tex]f (x)= \frac{x-4}{x(x+4)+9(x+4)}[/tex]
Factor out x + 9
[tex]f (x)= \frac{x-4}{(x+9)(x+4)}[/tex]
Hence, the simplified expression of the function [tex]f (x)= \frac{x-4}{x^2+13x+36}[/tex] is
[tex]f (x)= \frac{x-4}{(x+9)(x+4)}[/tex]. f(x) is increasing for all x > –4
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Answer: f(x) is increasing for all x > -4
Proof of validity is shown below.
The students in Class A and Class B were asked how many pets they each have. The dot plots below show the results.
Students in Class A
A dot plot titled Students in Class A. A number line going from 0 to 5 labeled Number of pets. There are 5 dots above 0, 5 above 1, 4 above 2, 1 above 3, and 0 above 4 and 5.
Students in Class B
A dot plot titled Students in Class B. A number line going from 0 to 5 labeled Number of pets. There is 1 dot above 0, 2 above 1, 2 above 2, 4 above 3, 3 above 4, 3 above 5.
What is the difference between the ranges in the dot plots?
0
2
3
4
Answer:
The answer is 2
Step-by-step explanation:
the answer is 2
The function g(x) is shown in the graph at right. The function g(x) is a transformation of the parent function f(x)=x^2. Based of the graph, which function represents g(x) in terms of f(x)
Answer: choice B
Step-by-step explanation:
Find the distance between the points (6, -4) and (-7, -4)
Answer:
8
Step-by-step explanation:
Subtract 6 to 7 then add that to the 7.
Simplify the expression given below.x+2/x^3+2x^2-9x-18/3x+1/x^2-9
Answer:
2x^5 - 14x^4 - 9x^3 + X + 2
--------------------------------------
x^3
Step-by-step explanation:
Combine like terms to create an equivalent expression.
Enter any coefficients as simplified proper or improper fractions or integers. LOOK AT PICTURE!
Answer:\frac{2p}{7}+\frac{1}{7}
Step-by-step explanation:you have to simplify these two number thats all can give u bro
North Dakota has recently had the fastest growing population out of all 50 states. On Jan 1, 2013, the
population of North Dakota was 700,000 people. North Dakota's population has been growing by 5%
per year. Express North Dakota's population, N, in terms of years since 2013, t
Answer:
see below
Step-by-step explanation:
5% = .05
N = 700 000 (1+.05)^t
Diane Van Os decided to buy a new car since her credit union was offering such low interest rates. She borrowed 30,000 at 4.75% on December 12 2016 and paid it off March 04 2018. How much did she pay in interest? (Assume exact interest)
Answer:
Total Interest Diane has to pay is $1,745
Step-by-step explanation:
Behind the Excel sheet
Total Number of Days:
It was the sum 2016 + 2017 + 3 months of 2018
19 + 365 + 31 + 28 + 4
Exact Intrest on Loan
the Borrowed Amount is multiplied by Exact Intrest Rate multiplied by Total Number of Days divided by Number of Days in a Year
$30,000 x 0.0475 x (447/365)