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?
What is the equation of the line that passes through the points (-1,2) and (6,3) in slope intercept form
[tex]\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ &&(~ -1 &,& 2~) &&(~ 6 &,& 3~) \end{array} \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{3-2}{6-(-1)}\implies \cfrac{3-2}{6+1}\implies \cfrac{1}{7} \\\\\\ \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-2=\cfrac{1}{7}[x-(-1)]\implies y-2=\cfrac{1}{7}(x+1) \\\\\\ y-2=\cfrac{1}{7}x+\cfrac{1}{7}\implies y=\cfrac{1}{7}x+\cfrac{1}{7}+2\implies y=\cfrac{1}{7}x+\cfrac{15}{7}[/tex]
Answer:
Step 1: Choose (x1, y1). (6,3)
Step 2: x2= -1 y2=2
Step 3: 1/7
Step 4: b= 15/7
What is the equation of the line in slope-intercept form?
B) y=1/7x+15/7
Step-by-step explanation:
The bold numbers are the answers.
( I need mo pts)
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?
I don't understand this problem can you help?
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).
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:
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?
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]
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]
25 pt question amd will mark brainliest
Estimate the probability that if the company books 225 persons. not enough seats will be available. 1-.81^225
Please help me understand this.
Trip bought an icecream cone that is 4 inches tall with a radius of 2 inches
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]
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.
43 coins, no nickels, $4.51 equal amount amount of pennies and dimes, how many of each coin
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
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.
Two positive numbers have a difference of four and a product of 96 what are the numbers
Answer:
The two positive numbers are 12 and 8.
Explanation:
The first phrase in the sentence tells us the difference between numbers equals 4, which can be represented a - b = 4
The second phrase tells us when multiplied together, it equals 96, which can be represented by the ab = 96, or a(b) = 96
So, first step is to list the factors of 96. I prefer to list them as pairs:
1, 96; 2, 48; 3, 32; 4, 24; 6, 16; and 8, 12
Now we plug each these pairs into the first equation to see if they satisfy the equation.
96 - 1 = 95 24 - 4 = 20
95 > 4 20 > 4
48 - 2 = 46 16 - 6 = 10
46 > 4 10 > 4
32 - 3 = 29 12 - 8 = 4
29 > 4 4 = 4
Because a = 12 and b = 8 satisfies both equations that represent the given sentence, the two positive numbers are 12 and 8.
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
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
Please please help me with this
which of the following best describes the English expression the product of two and a number minus eleven
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:
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
Complete the inequality. 9% ___ 0.4
if 3 m equals 12 what is the value of 6(m-1)
John plays a game in which he throws a baseball java questions
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
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