What is the LCD of the following rational expressions?
x/x+1 , 7x/x-1
please help I'm so confused!?
The service plan for edith's cell phone charges her $29.50 a month for 300 minutes and 10¢ a minute for each additional minute over the 300 minutes. if edith uses 400 minutes this month, how much money will she have to pay?
A 25-foot-long footbridge has two diagonal supports that meet in the center of the bridge. Each support makes a 65∘ angle with a short vertical support.
What is the length x of a diagonal support, to the nearest tenth of a foot?
x≈_____ feet
Answer:
13.
Step-by-step explanation:
Which of the following points are more than 5 vertical units away from the point left-parenthesis 0 comma negative 2 right-parenthesis? Choose all that apply. (2 points) left-parenthesis 6 comma negative 2 right-parenthesis left-parenthesis negative 8 comma negative 2 right-parenthesis left-parenthesis 0 comma negative 8 right-parenthesis left-parenthesis 0 comma 4 right-parenthesis
Given point is (0, -2).
Given options are A(6, -2); B(-8, -2); C(0, -8); D(0, 4).
It says to select the options that are more than five units vertically away from the given point.
"Vertically away" means the x-coordinate would be same and y-coordinate would be shifted up or down.
Since it says to shift more than five units vertically away, so we must have :-
y > -2 + 5 or y < -2 - 5.
Therefore, y > 3 or y < -7.
Hence, option C and D are correct i.e. (0, -8) and (0, 4).
Suppose the spread of a direct contact disease in a school is modeled by the exponential function P(t) =
2,000
1 + e3 − t
where P(t) is the total number of people infected after t hours. What does 2,000 represent in equation?
A) the rate at which the disease spreads
B) the number of the people in the school
C) the expected change in number of people infected
Eliminate
D) the total number of people infected after t hours
In Ms. Dole's class, students received grades of 87, 72, 99, 93, and 84 on yesterday's quiz. What was the mean of the quiz grades?
You scored the following grades on your first three math tests: 71, 78, 81. You only have one test remaining. What is the highest possible test average you can get?
The Frostburg-Truth bus travels on a straight road from Frostburg Mall to Sojourner Truth Park. The mall is 3 miles west and 4 miles south of the City Center. The park is 3 miles east and 5 miles north of the Center. How far is it from the mall to the park to the nearest tenth of a mile/12482564/8273204d?utm_source=registration
Quadrilateral ABCD is an isosceles trapezoid. If AB || CD, AB = m + 6, CD = 3m + 2, BC = 3m, and AD = 7m - 16, solve for m.
A.) 2
B.) 3
C.) 4
D.) 5
Answer:
C.) 4
Step-by-step explanation:
we are given ABCD is an isosceles trapezoid
AB || CD
AB = m + 6
CD = 3m + 2
BC = 3m
AD = 7m - 16
Since, ABCD is an isosceles trapezoid
so, two sides must be equal
[tex]BC=AD[/tex]
now, we can plug values
[tex]3m=7m-16[/tex]
now, we can solve for m
[tex]3m-7m=7m-16-7m[/tex]
[tex]-4m=-16[/tex]
Divide both sides by -4
and we get
[tex]m=4[/tex]
Answer:
M= 4
Step-by-step explanation:
43 coins, no nickels, $4.51 equal amount amount of pennies and dimes, how many of each coin
which of the following best describes the English expression the product of two and a number minus eleven
Which number is not in scientific notation?
A: 1.10 ⋅ 103
B: 4.0 ⋅ 1016
C: 7.03 ⋅ 10−2
D: 350 ⋅ 102
the anser would be c fo it to be in scientific notation you have to have an exponet
John plays a game in which he throws a baseball java questions
Look at the table. Make a conjecture about the sum of the first 15 positive even numbers.
The conjecture about the sum of the first 15 positive even numbers is 15 * 16
Making a conjecture about the sum of the first 15 positive even numbers.
From the question, we have the following parameters that can be used in our computation:
The table of values
Where, we have
2 = 1 * 2
2 + 4 = 2 * 3
2 + 4 + 6 = 3 * 4
And so on
This means that
Sum of first n positive even numbers = n * (n + 1)
So, for the first positive even numbers, we have
n = 15
This gives
Sum of first 15 positive even numbers = 15 * (15 + 1)
Evaluate
Sum = 15 * 16
Sum = 240
Hence, the sum is 15 * 16
Estimate the probability that if the company books 225 persons. not enough seats will be available. 1-.81^225
What is the explicit formula for the sequence? 6, 5, 4, 3, 2, . .
Answer: [tex]a_n=5+n[/tex]
Step-by-step explanation:
The explicit formula for an arithmetic sequence is given by:-
[tex]a_n=a+d(n-1)[/tex], where a is the first term , di sthe common difference and n is the number of terms.
The given sequence : 6, 5, 4, 3, 2, . .
Common difference d = 1
First term = 1
Now, the explicit formula for given arithmetic sequence will be:
[tex]a_n=6+1(n-1)\\\\\Rightarrow\ a_n=6+n-1\\\\\Rightarrow\ a_n=5+n[/tex]
Hence, the explicit formula for given arithmetic sequence : [tex]a_n=5+n[/tex]
Which equation represents a hyperbola with a center at (0,0), a vertex at (0,60), and a focus at (0,-65)
Answer:
So for everybody in the future, a clarification is d)y^2/60^2 -x^2/25^2=1
Ans: [tex]\( \frac{y^2}{60^2} - \frac{x^2}{25^2} = 1 \)[/tex]
The standard form equation of a hyperbola with the center at the origin (0,0), a vertical axis, a vertex at (0, a), and a focus at (0, c) is given by:
[tex]\[\frac{y^2}{a^2} - \frac{x^2}{b^2} = 1\][/tex]
where [tex]\(c\)[/tex] is the distance from the center to the focus, and [tex]\(b\)[/tex] is related to [tex]\(a\) and \(c\)[/tex] by the equation [tex]\(c^2 = a^2 + b^2\)[/tex].
In your case, the center is at (0,0), the vertex is at (0,60), and the focus is at (0,-65). The distance from the center to the focus is [tex]\(c = 65\)[/tex], and the distance from the center to the vertex is [tex]\(a = 60\)[/tex]. Using the relationship [tex]\(c^2 = a^2 + b^2\)[/tex], we can find b:
[tex]\[65^2 = 60^2 + b^2\][/tex]
Solving for b:
[tex]\[4225 = 3600 + b^2\][/tex]
[tex]\[b^2 = 625\][/tex]
[tex]\[b = 25\][/tex]
Now, substitute [tex]\(a\), \(b\), and \((h, k) = (0, 0)\)[/tex] into the standard form equation:
[tex]\[\frac{y^2}{60^2} - \frac{x^2}{25^2} = 1\][/tex]
So, the equation of the hyperbola is:
[tex]\[\frac{y^2}{3600} - \frac{x^2}{625} = 1\][/tex]
[tex]\( \frac{y^2}{60^2} - \frac{x^2}{25^2} = 1 \)[/tex]
find the value of q in the following system so that the solution to the system is(4,2) 3x-2y=8
2x+3y=Q
78 million in scientific notation
Answer:
[tex]78\ million=7.80\times 10^7[/tex]
Step-by-step explanation:
A number N can be written in scientific notation as :
[tex]N=p{\circ}0\times 10^q[/tex]
Where
p is the any real number
q is any integer
Here, the given number is 78 million. Firstly, we must know meaning of 1 million.
Since, [tex]1\ million=10^6[/tex]
[tex]78\ million=78.0\times 10^6[/tex]
To convert the above number in scientific notation, we can shift the decimal before 8 such that,
[tex]78\ million=7.80\times 10^7[/tex]
Hence, this is the required solution.
1. demand for product
2. example of fixed cost buyer's
3. sales receipts
4. credit discount
5. example of variable cost
6. moves slow-moving goods
7. business upturn
8. used for business expansion
9. depends on prime rate
10. assures profit on item sold
2/10, net 30
credit
interest rate
workers' wages
revenue
recovery
rent
markdown
markup
buyer's willingness to pay
Answer:
Interest rate - 9
Revenue - 3
Recovery - 7
Markdown - 6
Buyer's willingness to pay - 1
Markup - 10
Worker's wages - 5
2/10 net 30 - 4
Credit - 8
Rent - 2
Step-by-step explanation:
Just did this on odyssey
Use a calculator to find the mean and standard deviation of the data. Round to the nearest tenth. 6, 7, 19, 7, 18, 7
Answer:
The mean is 10.7 and the standard deviation is 5.6.
Step-by-step explanation:
To find the mean, add together all of the data and divide by the number of data points:
(6+7+19+7+18+7)/6 = 64/6 = 10.7
To find the standard deviation, subtract each data point from the mean, square them and find the sum:
(6-10.7)²+(7-10.7)²+(19-10.7)²+(7-10.7)²+(18-10.7)²+(7-10.7)²
=(-4.7)²+(-3.7)²+(8.3)²+(-3.7)²+(7.3)²+(-3.7)²
=22.09+13.69+68.89+13.69+53.29+13.69 = 185.34
Next divide this by 6, the number of data points:
185.34/6 = 30.89
Lastly, take the square root:
√30.89 = 5.6
I don't understand this problem can you help?
The digits 1,2,3,4,5,6,7 and 8 are arranged randomly to form a three-digit number find the probability that the number is even and greater than 800
[tex] |\Omega|=8\cdot7\cdot6=336\\
|A|=\underbrace{1\cdot6\cdot3}_{\text{8,any,even}}=18\\\\
P(A)=\dfrac{18}{336}=\dfrac{3}{56}=5\% [/tex]
Write the standard form of the equation of the circle with the given center and radius.
(-3, 6); 10
Answer:
A circle with center at (-3, 6) and a radius of 10 has the following standard form equation
[tex](x+3)^2+(y-6)^2=100[/tex]
Step-by-step explanation:
This is the general standard equation for the circle centered at (h, k) with radius r
[tex](x-h)^2+(y-k)^2=r^2[/tex]
It shows all the important information at a glance: the center (h, k) and the radius r.
A circle with center at (-3, 6) and a radius of 10 has the following standard form equation
Start with:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Put in (h, k) and r
[tex](x-(-3))^2+(y-6)^2=10^2\\(x+3)^2+(y-6)^2=100[/tex]
if 3 m equals 12 what is the value of 6(m-1)
The histogram shows the number of vacation days taken by employees in the past year. Based on the histogram, which statement is true?
A.)Four employees took 20 vacation days in the past year.
B.) Four employees took 25 vacation days in the past year.
C.) Four employees took between 20 and 25 vacation days in the past year.
D.) Between 20 and 25 employees took four vacation days in the past year.
Answer:
Option(C)
Step-by-step explanation:
As per histogram, given below
3 students took holidays between 5-10 days.
5 students took holidays between 10-15 days.
5 students took holidays between 15-20 days.
4 students took holidays between 20-25 days.
3 students took holidays between 25-30 days.
therefore, option (C) is correct.
If Henry's home has a market value of $145000 and the assessment rate is 35% what is its assessed valuation
Answer:
Assessment value of Henry's home is $50750
Step-by-step explanation:
Henry's home has a market value of $145000 and the assessment rate is 35%.
This means value of home is 35% of the total cost $145000
Now we will solve it by calculating percentage
Assessment = 35% of 145000 = [tex](145000)(\frac{35}{100})=(1450).(35)=50750[/tex]
So the answer is assessment of Henry's home = $50750.
Please help me understand this.
Suppose you invest $1600 at an annual interest rate of 4.6% compounded continuously. Using the formula A(t) =P*e^rt , how much will you have in the account after 4 years
25 pt question amd will mark brainliest