Answer:
y=0x-1
Step-by-step explanation:
Slope-int form: y=mx+b
Both points have the same y value and different x values, so the slope (m) is 0.
Since the y-intercept is (0, -1), b=-1
A rectangular table is four times as long as it is wide. If the area is 36 ft2, find the length and the width of the table.
Answer:
The width is 3 ft
The length is 12 ft
Step-by-step explanation:
Let w = width
l = 4w
A = l*w
Replace length with 4w
A = 4w*w
36 = 4 w^2
Divide each side by 4
36/4 = 4w^2/4
9 = w^2
Take the square root of each side
sqrt(9) = sqrt(w)
3 =w
The width is 3 ft
The length is 4*3 = 12 ft
What is the best way to answer each of the questions below: an experiment, a sample survey, or an observational study that is not a sample survey? Explain your choices.
(a) Are people generally satisfied with how things are going in the country right now?
A sample survey; we want to gather information about a population based on a sample.
An experiment; we want to establish a cause-and-effect relationship.
An observational study; there is no particular population from which we will sample, we simply observe.
(b) Do college students learn basic accounting better in a classroom or using an online course?
A sample survey; we want to gather information about a population based on a sample
An observational study; there is no particular population from which we will sample, we simply observe.
An experiment; we want to establish a cause-and-effect relationship
(c) How long do your teachers wait on the average after they ask their class a question?
An experiment; we want to establish a cause-and-effect relationship
An observational study; there is no particular population from which we will sample, we simply observe.
A sample survey; we want to gather information about a population based on a sample
Answer:
a
A sample survey; we want to gather information about a population based on a sample.
b
An experiment; we want to establish a cause-and-effect relationship
c
An observational study; there is no particular population from which we will sample, we simply observe.
Step-by-step explanation:
Considering the first question
Are people generally satisfied with how things are going in the country right now?
Here the aim is to gather the opinion of the entire population and since it is impossible to ask each and everyone that make up the population then the best option is to taken a sample of the population and then draw conclusion from their opinion
So the correct option to question a is
A sample survey; we want to gather information about a population based on a sample
Considering the second question
Do college students learn basic accounting better in a classroom or using an online course?
Here in other to get the best answer to the question there is need to carry out a statistical experiment using a group of college student where by a particular group of college student is exposed to learning a particular topic through class room and another group of college student is exposed to learning the same subject through online and then the same test is given to both group of student to determine the outcome of the experiment.
So the solution to the question b is
An experiment; we want to establish a cause-and-effect relationship
Considering the third question
How long do your teachers wait on the average after they ask their class a question?
For the above question we see that in order to get the correct solution to this problem there is a need to observe the teachers during question and answer section of their teaching so the correct answer to this question is
An observational study; there is no particular population from which we will sample, we simply observe.
A circular race track has a diameter of 120 ft.about how long would one lap of the track be
Answer:
The length of one lap of the track would be about 377 feet
Step-by-step explanation:
The length of any circular path is equal to the circumference of the circular pathThe circumference of a circle C = π d, where d is the lengths of its diameter∵ A circular race track has a diameter of 120 feet
→ That means the length of each lap equal the circumference of the track
∴ The length of one lap = C
∵ The diameter of the track is 120 feet
∴ d = 120 feet
∵ C = πd
∴ C = π(120)
→ Use π = 3.141
∴ C = (3.141)(120)
∴ C = 376.92 feet
→ Round it to the nearest whole number
∴ C ≅ 377 feet
∴ The length of one lap of the track would be about 377 feet
What's 11/14 plus 2/7
Answer:
15/14 or 1 1/14
Step-by-step explanation:
11/14+2/7=
11/14+4/14=
15/14=
1 1/14
Answer:
Step-by-step explanation:
11/4 + 2/7 = 77/28 + 8/28 = 85/28
A pattern has 4 blue triangles to every 12 yellow triangles. Alia said for everyone blue triangle there are three yellow triangles. do you agree with alia why or why not? explain your reasoning.
Answer:
yes I agree with her because 3 times 4 is 12
Step-by-step explanation:
pls make me brainliest
what is the area of the arrow shown?
what arrow i do not see any picture
Answer:
80 in
Step-by-step explanation:
what value of x will make the given triangles congruent?
Answer:
2
Step-by-step explanation:
Answer:
x = 10
Step-by-step explanation:
The hypotenuse of each of the triangles have to be equal
7x -5 = 4x+25
Subtract 4x from each side
7x -4x-5 = 4x+25-4x
3x -5 = 25
Add 5 to each side
3x-5+5 = 25+5
3x= 30
Divide by 3
3x/3 = 30/3
x = 10
Which of the binomials below is a factor of this trinomial?
x² + 14x + 40
O AX-9
O B. 32 + 10
O C. X* 14
D. X+4.
Answer:
D. x + 4Step-by-step explanation:
Let's factor the trinomial:
x² + 14x + 40 = x² + 4x + 10x + 40 = x(x + 4) + 10(x + 4) = (x + 4)(x + 10)x + 4 is between the answer options
Correct option is D.
Divide:
−54 ÷ −9 =
pls help llllllllllllllll
Answer:
Step-by-step explanation:
When you divide two negative numbers, the negative sign cancels. So you just get an answer of 6.
Answer:
6
Step-by-step explanation:
-54 / -9
ok so first of all we can just change them to positive
54 / 9
this is what goes on in my head
the 2 digits equal 9
a number times 9 is just that number less then that number times 10
54 / 9 = 6
-54 / -9 = 6
is V81 a rational number
Solve.
(12b^2 - 5)(4b^2 + 4)
Leah borrows £10,000 over 5 years at a simple interest rate of 15%.
Calculate how much interest she will pay over the 5 years?
How much will Leah have to pay back in total
Answer:
She will pay $7,500 interest over the 5 years
She will have to pay back $17,500 in total
Step-by-step explanation:
Let us revise the rule of the simple interest
I = Prt and A = P(1 + rt) , where:
A = Total Accrued Amount (principal + interest) P = Principal Amount I = Interest Amount r = Rate of Interest per year in decimalt = Time Period involved in months or years∵ Leah borrows £10,000 over 5 years at a simple interest rate of 15%.
∴ P = 10,000
∴ t = 5
∴ r = 15% = [tex]\frac{15}{100}[/tex] = 0.15
→ Substitute them in the first rule to find the interest
∵ I = 10,000(0.15)(5)
∴ I = 7,500
∴ She will pay $7,500 interest over the 5 years
→ Let us find A
∵ A = 10,000(1 + 0.15×5)
∴ A = 17,500
∴ She will have to pay back $17,500 in total
What is the domain and range of the function?
Answer:
Domain: (-∞,∞)
Range: (-∞,∞)
Is 2.72135 rational or irrational
Answer:
rational
Step-by-step explanation:
since 2.72135 is finite (has an ending), it can be written as a fraction, meaning it is rational.
Answer:
Rational
Step-by-step explanation:
In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.
I need help plzz I need the answer
Answer:
24cm
Step-by-step explanation:
you do length times width and you get 24
An app developer projects that he will earn $20.00 for every 8 apps downloaded. Write
an equation to represent the proportional relationship between the number of apps and the total earnings
y = 2.5x
I hope this helps
The required equation is y=2.5x.
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
Given that,
Earning of app developer for 8 apps = $20.00
Earning of app developer for 1 app = $2.5
Earning of app developer for x app = $2.5x
Assume, earning of app developer for x app is y
So the equation,
Earning of app developer y=2.5x
The required equation is y=2.5x.
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Help. What is the slope of the line in the graph?
Hello,
As you have not provided the graph, I can teach you how to answer the question.
You are solving for the slope of the line. The slope can be found by using the following equation:
slope (signified by the variable m) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Note that the numbers does not exactly matter, only that what you set as variable [tex]x_1[/tex], the y inside that coordinate will also be [tex]y_1[/tex], and likewise for point 2.
For example, let us say your points for your line is (3 , 6) and (10 , 4)
Let:
[tex](x_1 , y_1)[/tex] [tex]= ( 3 , 6)[/tex]
[tex](x_2 , y_2) = (10 , 4)[/tex]
Plug in the corresponding numbers to the corresponding variables:
slope [tex]m = \frac{4 - 6}{10 - 3} = - \frac{2}{7}[/tex]
The given points will result in a [tex]-\frac{2 }{7}[/tex] slope.
Hope this helps!
Which statements correctly describe the graph of the function f(x) = x3 – 4x2 – 3x + 18? Select three options. There are three unique solutions to the function when y=0. The function has a double root. As x increases from negative infinity to positive infinity, the y-values increase, decrease, and then increase again. As x approaches negative infinity, y approaches positive infinity. The domain and range of the function are the set of real numbers.
Answer:
The function is:
f(x) = x^3 - 4*x^2 - 3*x + 18.
Below, you can see the graph of the function.
The statements that are true are:
As x increases from negative infinity to positive infinity, the y-values increase, decrease, and then increase again.
You can see this in the graph and may be really hard to see it without the graph, the easier way would be to see the derivate of f(x) and see that is first positive, then negative, and then positive.
f'(x) = 3*x^2 - 8*x - 3
As the leading coefficient is positive, the arms oppen up, and f'(0) = -3
Then is easy to see that from left to right, is positive, then negative, and then positive again.
The domain and range of the function are the set of real numbers.
For the domain, we do not have any denominator nor weird function that has problems in a particular value, so the domain is the set of all real numbers.
And as you can see, as the leading coefficient is an odd power of x, the range will go from minus infinity to infinity (you can also see it in the graph).
The function has a double root.
Yes, in the graph you can see two roots, but this is a 3rd-degree polynomial, so it must have 3 roots, this means that one of the roots in the graph is a double root. (Where the double root is at x = 3, as you can see in the graph)
Answer:
B), C), and E)
Step-by-step explanation:
Edge 2021
i need help this is timed i will mark u as brainliest.
Answer:
-8
Step-by-step explanation:
np
Answer:
I'm not very sure but it might be 12.
I'm very sorry if this is incorrect and I am going to vote myself 2 stars so you see this last
i-i dont deserve these points
PLEASE HELP IN BEING TIMED
Answer:
2 teams of 10
4 teams of 5
5 teams of 4
10 teams of 2
Hope this helps!
Answer:
A. 2 teams of 10
c. 4 tearms of 5
d. 5 teams of 4
F. 10 teams of 2
Step-by-step explanation:
Find the distance between the two points rounding to the nearest tenth (if necessary).
(-2,-2) and (0,7).
Answer:
[tex]d = 9.2[/tex]
Step-by-step explanation:
Given
Points: (-2,-2) and (0,7)
Required
Determine the distance between them.
Distance is calculated as thus:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Where:
[tex](x_1,y_1) = (-2,-2)[/tex]
[tex](x_2,y_2) = (0,7)[/tex]
So, we have:
[tex]d = \sqrt{(0 - (-2))^2 + (7 - (-2))^2}[/tex]
[tex]d = \sqrt{(0 +2)^2 + (7 +2)^2}[/tex]
[tex]d = \sqrt{2^2 + 9^2}[/tex]
[tex]d = \sqrt{4 + 81}[/tex]
[tex]d = \sqrt{85}[/tex]
[tex]d = 9.2[/tex] --- Approximated
estimate 8.2x6.7 divided by 0.46
Answer:
Well, the correct answer is 119.4347826086956521739130 (after the 130 the whole decimal is repeated.
Step-by-step explanation:
Although if your assignment is asking for an estimate you could probably just say 119 since the first and second decimal is less then 5
The estimation of the expression 8.2 × 6.7 divided by 0.46 is approximately 112.
What is estimation?It is a rough calculation of the value, number, quantity, etc. It doesn't use real calculation but estimation by some method like prediction, using approximation etc.
For this case, we've to esimate the value of the expression:
[tex]E = \dfrac{8.2 \times 6.7}{0.46}[/tex]
Instead of using exact values, let we use:
[tex]8.2 \approx 8\\6.7 \approx 7\\0.46 \approx 0.5 = 1/2[/tex]
Then, we get:
[tex]E = \dfrac{8.2 \times 6.7}{0.46} \approx \dfrac{8 \times 7}{1/2} = 2 \times 8 \times 7= 2 \times 56 = 112[/tex]
Thus, the estimation of the expression 8.2 × 6.7 divided by 0.46 is approximately 112.
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Stonebridge neighborhood garage sale have the cash receipts for 5 days:
$136.97
$256.21
$366.10
$176.04
$72.49
Answer:
$1,007.81
Step-by-step explanation:
pls help! thank you:) I will make brainleist
Answer:
4x+1 = 3x-2
Step-by-step explanation:
4x+1=3x-2 subtract 3x and 1 from both sides
x= -3
There are 35 students in the drama club. 2 out of every 5 students in the club are boys. How many student clubs are boys?
Answer:
14
Step-by-step explanation:
10c - cd + d (if c= -6 and d = 2)
Answer:
74
Step-by-step explanation:
Substitute the values of the variables into the equation. Good luck on your math journey!
Plzzzz answer witch row is it
Answer:
The first row I believe, correct me if I'm wrong.
Use the graph to determine which statement describes f(x).
Answer:
The statements are not provided, so let's do a complete description of f(x)
In the graph, we can see two asymptotes at x = 1.
This means that the denominator is equal to 0 when x = 1, then we can write:
f(x) = A/(x - 1)
Where we can start thinking that A is a constant.
Now we also can see that when x = 2, f(2) is equal to 1, or:
f(2) = 1.
Then:
f(2) = 1 = A/(2 - 1) = A/1
Then we have A = 1.
Then our function is:
f(x) = 1/(x - 1)
f(x) = x^3 translate 3 units left translate 1 unit down
Answer:
the function would look like: f(x)=(x³+3)-1
the graph would literally look like the cubic parent graph, just shifted 3 left and 1 down
Ten years ago, Lisa bought a hair salon for 182000 dollars. She built up the business and it is now
worth nine times what she paid for it. She decides to sell half of the business to a friend, and they
become partners. Express the amount Lisa's friend must pay Lisa to buy half the business.
Answer: 819,000
Step-by-step explanation:
182000×9=1638000÷2=819000
Lisa's friend must pay Lisa $819,000 to become her partner in the business, half the worth of Lisa's business today.
What do we mean by the worth of an object?The worth of an object is the price of that object currently. The worth of almost every object in this world is variable (not fixed) with time and use.
How do we solve the given question?In the question, we are said that ten years ago, Lisa bought a hair salon for $182,000. Her business is now worth nine times what she paid.
∴ Worth of the business 10 years ago = $182,000.
Worth of the business now = 9*$182,000 = $1,638,000
We have been informed that Lisa has decided to sell half of her business to a friend. We are asked to find the amount her friend needs to pay, to become her partner.
As we have been told, she is selling half of her business, her friend will need to pay half of her business' worth at the present date.
∴ Her friend pays the amount = 1/2 * worth of the business now
or, Her friend pays the amount = 1/2 * $1,638,000
or, Her friend pays the amount = $819,000.
∴ Lisa's friend must pay Lisa $819,000 to become her partner in the business, half the worth of Lisa's business today.
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