Answer:
16 - 6n
Step-by-step explanation:
10 , 4 , -2 , - 8 .....
This is arithmetic sequence
first term = 10
Common difference = 2nd term - first term
d = 4 - 10
d = -6
nth term = a₁ + (n -1)d
= 10 + (n - 1)*(-6)
= 10 + n*(-6) - 1*(-6)
= 10 - 6n + 6
= 10 + 6 - 6n
= 16 - 6n
4x + y = -24
y + 2x = -8
How would I solve by substitution step by step?
Ginny wants to compare the miles per gallon of 2 different cars. The cars mileage can be described as below. Find the miles per gallon (rate of change) for each car and interpret the meaning in terms of the problem. Which car has a better gan mileage?
Car A. | car b |
|No. If gallons used | 4 | 9 | 15 | f(x) =22x |
Total mileage | 76 | 161 | 285
Answer:
Car A gets 19 miles per gallon while Car B gets ~17.8 miles per gallon. Car A gets better mileage.
Step-by-step explanation:
1/2 x 5/6 in fraction form
Answer:
5/12
Step-by-step explanation:
The required value in fraction form is 5/12
Expressing product in fraction formGiven the expression
1/2 x 5/6
We are to express in fraction form. To do this we will multiply the numerator and denominator together to have:
1/2 x 5/6
= (1 * 5)/(2 * 6)
= 5/12
Hence the required value in fraction form is 5/12
Learn more on fraction here: https://brainly.com/question/78672
Please help me with this question! <3
Which set of coordinate pairs does NOT represent a linear function?
A.(−4, −12), (−3, −10), (−2, −8), (−1, −6)
B.(−4, −17), (−3, −10), (−2, 5), (−1, 2)
C.(1, −7), (2, −10), (3, −13), (4, −16)
D.(1, 1), (2, 4), (3, 7), (4, 10)
Answer:
c
Step-by-step explanation:
What quadrant is (6, −7) in? Quadrant I Quadrant II Quadrant III Quadrant IV
Answer:
(6,-7) Would be in Quadrant IV
Step-by-step explanation:
Rural Speed Limits Rural speed limits for all 50 states are indicated below. 60 mph 65 mph 70 mph 75 mph 1 (HI) 18 18 13 Choose one state at random. Find the probability that its speed limit is a. 60 or 70 miles per hour b. Greater than 65 miles per hour c. 70 miles per hour or less
Answer:
[tex]P(60mph\ or\ 70mph) = 0.38[/tex]
[tex]P(x>65mph) = 0.62[/tex]
[tex]P(x \le 70mph) = 0.74[/tex]
Step-by-step explanation:
Given
Speed Limits --- States
60 mph ---------- 1
65 mph ----------- 18
70 mph ----------- 18
75 mph ---------- 13
Total -------------- 50
Solving (a): Probability of 60mph or 70mph
This is represented as:
[tex]P(60mph\ or\ 70mph)[/tex]
We only consider states with speed limits of 60 and 70mph.
So, we have:
[tex]P(60mph\ or\ 70mph) = P(60mph) + P(70mph)[/tex]
[tex]P(60mph\ or\ 70mph) = \frac{1}{50} + \frac{18}{50}[/tex]
Take L.C.M
[tex]P(60mph\ or\ 70mph) = \frac{1+18}{50}[/tex]
[tex]P(60mph\ or\ 70mph) = \frac{19}{50}[/tex]
[tex]P(60mph\ or\ 70mph) = 0.38[/tex]
Solving (b): Greater than 65mph
This is represented as:
[tex]P(x>65mph)[/tex]
We only consider states with speed limits of 70 and 75mph.
So, we have:
[tex]P(x>65mph) = P(70mph) + P(75mph)[/tex]
This gives:
[tex]P(x>65mph) = \frac{18}{50} + \frac{13}{50}[/tex]
Take L.C.M
[tex]P(x>65mph) = \frac{18+13}{50}[/tex]
[tex]P(x>65mph) = \frac{31}{50}[/tex]
[tex]P(x>65mph) = 0.62[/tex]
Solving (c): 70mph or less
This is represented as:
[tex]P(x \le 70mph)[/tex]
We only consider states with speed limits of 60, 65 and 70mph.
So, we have:
[tex]P(x \le 70mph) = P(60mph) + P(65mph) + P(70mph)[/tex]
This gives:
[tex]P(x \le 70mph) = \frac{1}{50} + \frac{18}{50} + \frac{18}{50}[/tex]
Take L.C.M
[tex]P(x \le 70mph) = \frac{1+18+18}{50}[/tex]
[tex]P(x \le 70mph) = \frac{37}{50}[/tex]
[tex]P(x \le 70mph) = 0.74[/tex]
m= 12 and the y-intercept is (0, 11)
Answer:
y=12x+11
Step-by-step explanation:
using y=mx+b
m is the slope and b is the y intercept, using that you just plug in the numbers.
15.
(01.03 LC)
What is 0.453 rounded to the nearest tenth?
0.5
0.45
0.44
0.4
A store sells 20 bottles of detergent for every 5 bottles of fabric softener. Use the ratio table to find how many bottles of detergent will be sold when 12 bottles of softener are sold.
A.
4
B.
24
C.
48
D.
240
Answer:
D
Step-by-step explanation:
Just took the test :)
what is the approximate volume of this cylinder
Answer:
where is the cylinder.....................
Answer:
Where is the cylinder??????
Step-by-step explanation:
An author is having a book signing at a store. He agrees to give 5% of his profit to literacy programs and 15% of his profit to his manager. If he makes a profit of $200.00, how much of his profit does he take home?
Answer:
160
Step-by-step explanation:
15% + 5% = 20%
80%=0.8
200x0.8=160
6. If 2 different study subjects are randomly selected, find the probability that they both were sentenced to prison.
Answer:
the probability that they both were sentenced to prison is 0.1740
Step-by-step explanation:
The computation of the probability is given below;
P(sentenced) is
= (367 + 68) ÷ 1043
= 0.4171.
Now
P(2 persons senteced to prison) is
= 0.4171 × 0.4171
= 0.1740
hence, the probability that they both were sentenced to prison is 0.1740
The same is to be considered and relevant too
Help pls :,)
Rosa made a mosaic wall mural using 40 black tiles, 33 blue tiles and 27 red tiles.
Enter a percent to represent the number of red tiles in the Mural.
The number of red tiles in the mural represents ??? %
Answer:
First you have to figure out the total.
42+35+23= 100
So plug it in.
23/100
23%
Your answer is 23%.
Hope this helped ^-^
Step-by-step explanation:
What is the equation of the line that contains the point (-4.-12) and has
the slope of 3?
Answer:
y = 3x
Step-by-step explanation:
⁄(⁄ ⁄•⁄ω⁄•⁄ ⁄)⁄⁄(⁄ ⁄•⁄ω⁄•⁄ ⁄)⁄
Answer:
y=3x
Step-by-step explanation:
if you plug the point, and the equation into Desmos, you can see it´s right!
rectangle will have length 3n+ 6 and height 2n−1 inches, while the square will have side length n+ 2inches. Find the perimeter and area of your creation. Give your answers in fully factored form and includeunits. As part of your solution, redraw the below picture labelling all the sides.
Answer:
Perimeter: 2(3x+6)+ 2(2x-4)
X=9
Step-by-step explanation:
In order to create the expression you just have to remember that the perimeter of a rectangle equals 2 bases plus 2 sides, so the expression would be:
Perimeter: 2(heights)+ 2(bases)
Perimeter: 2(3x+6)+ 2(2x-4)
IN order to solve for X we just have to insert the value of perimeter, which is 94:
Perimeter: 2(3x+6)+ 2(2x-4)
94=2(3x+6)+ 2(2x-4)
94= 6x+12+4x-8
94=10x+4
94-4=10x
x=90/10
x=9
So the value of x would be 9.
what goes into 27 and 48?
Answer:
Step-by-step explanation:
lets see
27=7*4=7*2*2
48=3*2*2*2*2
both numbers are divisible by 4
27/3=9, 48/3=16
Answer = 3
URGENT PLEASE HELP !!!!!!!!!!!!
Answer:
Answer is C Converse of the Base Angle Theorem
Step-by-step explanation:
And can I have brainliest PLZ
Find the product.
- y(2y 3 - 8)
look at image
Step-by-step explanation:
hope this helps
Please really need answer would greatly be appreciated and mark brainliest.
Answer:
8ft of ground is covered, 8ft of metal and about 2 feet wide, it can hold 10ft of water i think
Answer:
Step-by-step explanation:
8 feet
Terry has 15 candles. She needs at least 100 candles. The candles she wants are sold in boxes of 8. What is the least number of boxes of 8 candles that Terry needs to buy.
Answer:
Answer: 11
Step-by-step explanation:
1. 100-15=85
2. 85/8=10.625
3. 10.625 rounds up to 11
5 thousands muiltply 10 = what
Determine if the ratios are equivalent.
17:3 and 68:12
Answer:
They are equivalent
Step-by-step explanation:
We can do cross products for this one
17/3 = 68/12
17 times 12 = 68 times 3
204 = 204
what is 30% of 180 show work
Answer:
30%=30/100=3/10
Step-by-step explanation:
3/10*180
Simplify 180 and 10.
3*18=54
1. Mr. Rodriguez hired an electrician to update several electrical outlets in his home. The electrician
charges $80 plus $45 an hour or any fraction of an hour. Let x represent the number of hours that the
electrician works. The total cost, f(x), can be represented by the function f(x) = 80 + 45x .
(a) Complete the table below to determine how much Mr. Rodriguez will pay the electrician.
Cost of Hiring an Electrician
Number of Hours
Answer:
80+45x this is because I don't noo???????
Percentage
What’s 12% from 18,000.00$
Answer:
2160%
Step-by-step explanation:
hope this helps :)
Answer:
2160
Step-by-step explanation:
10 = 1800
2 = 1800 divided by 5 = 360
1800 + 360 = 2160
Annual starting salaries for college graduates is unknown. Assume that a 95% confidence interval estimate of the population mean annual starting salary is desired. If the population standard deviation is $3,750 how large should the sample be if margin of error is $500
Answer:
A sample of 217 is needed.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1-0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].
So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.96[/tex]
Now, find the margin of error M as such
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
If the population standard deviation is $3,750 how large should the sample be if margin of error is $500
We have that [tex]\sigma = 3750[/tex].
We need a sample of n, and n is found when [tex]M = 500[/tex]. So
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
[tex]500 = 1.96*\frac{3750}{\sqrt{n}}[/tex]
[tex]500\sqrt{n} = 1.96*3750[/tex]
[tex]\sqrt{n} = \frac{1.96*3750}{500}[/tex]
[tex](\sqrt{n})^{2} = (\frac{1.96*3750}{500})^{2}[/tex]
[tex]n = 216.1[/tex]
Rounding up
A sample of 217 is needed.
Does the graph represent a function?
Write an expression that it equivalent to 1/4x+1+3/4x-2/3-1/2x
Answer: =1/2x+1/3
Step-by-step explanation:
The equivalent expression is 1/2x+ 1/3.
What is Expression?A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. Let's examine the writing of expressions. The other number is x, and a number is 6 more than half of it. In a mathematical expression, this statement is denoted by the expression x/2 + 6.
Given:
1/4x+1+3/4x-2/3-1/2x
Now, solving the above expression
1/4x+1+3/4x-2/3-1/2x
= 1/4x + 3/4x - 1/2x + 1 - 2/3
= 4/4x - 2/4x + 1/3
= 2/4x + 1/3
= 1/2x + 1/3
Hence, the equivalent expression is 1/2x+ 1/3.
Learn more about expression here:
https://brainly.com/question/14083225
#SPJ2
Simplify: -3(n+3) - 10(8n + 9)
Answer:
-83n-99
Step-by-step explanation:
-3n-9-80n-90
-83n-99
Ethan is watching a space shuttle launch from an observation spot 99 miles away. Find the angle of elevation from Ethan to the space shuttle, which is at a height of 0.70.7 miles.
Answer:
The angle of elevation from Ethan to the space shuttle is approximately 0.405º.
Step-by-step explanation:
Let O and A the locations observation spot and the space shuttle, respectively. BA is the height of the space shuttle from the ground. All length are measured in miles. We include a simplified geometrical representation of the situation.
Since a right triangle is formed, we can find the angle of elevation ([tex]\theta[/tex]), measured in sexagesimal degrees, by the following inverse trigonometrical relationship:
[tex]\theta = \tan^{-1}\left(\frac{BA}{OB} \right)[/tex] (1)
Where OB is the distance from the observation spot to the point just below the space shuttle.
If we know that [tex]OB = 99\,mi[/tex] and [tex]BA = 0.7\,mi[/tex], then angle of elevation from Ethan to the space shuttle is:
[tex]\theta = \tan^{-1}\left(\frac{0.7\,mi}{99\,mi} \right)[/tex]
[tex]\theta \approx 0.405^{\circ}[/tex]
The angle of elevation from Ethan to the space shuttle is approximately 0.405º.