Answer:
-150
Step-by-step explanation:
If you do an= a+(n-1)d a(n) being similar to f(x) just a different variable. Where a(41)= 50+(41-1)(-5) i would say the 41st term in the sequence is -150 because the sequence is going down, I'm not positive, but I know the formula is right. a is the term similarly to f, n is similar to x it is the number of the term, and d is the constant which in this case is -5.
A friend who works in a big city owns two cars, one small and one large. Three-quarters of the time he drives the small car to work, and one-quarter of the time he takes the large car. If he takes the small car, he usually has little trouble parking and so is at work on time with probability 0.8. If he takes the large car, he is on time to work with probability 0.6. Given that he was at work on time on a particular morning, what is the probability that he drove the small car
Answer:
0.8 = 80% probability that he drove the small car
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Being at work on time.
Event B: Driving the small car.
Probability of being at work on time:
0.8 of 0.75(small car).
0.6 of 0.25(large car). So
[tex]P(A) = 0.8*0.75 + 0.6*0.25 = 0.75[/tex]
At work on time, using the small car:
0.8 of 0.75
So
[tex]P(A \cap B) = 0.8*0.75 = 0.6[/tex]
What is the probability that he drove the small car
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.6}{0.75} = 0.8[/tex]
0.8 = 80% probability that he drove the small car
How many gallons of a 15% sugar solution must be mixed with a 5 gallons of a 40% solution to make a 20% solution
Answer:
20 gallons of 15% solution must be mixed with 5 gallons of 40% solution.
Step-by-step explanation:
40% of 5 gallons is 2 gallons of sugar
x represents the number of gallons of solution to be added.
15% of x is sugar.
The total amount of sugar must be equal to 20% of the final mixture.
The end mixture will be x + 5 gallons
Change percent to decimal for the equation:
.2(x +5) = .15x +2
.2x +1 = .15x +2
.2x - .15x = 2 -1
.05x = 1
x = 20
Check:
.2(20 +5) = .15(20) +2
.2(25) = 3 + 2
5 = 5 true
This means that adding 20 gallons of the 15% solution is adding 3 gallons of sugar [along with 17 gallons of water] to the 2 gallons of sugar in the original mixture.
20% of the 25 gallons, 5 gallons, of the final mixture is sugar. 80% [ 3+17 = 20 gallons] is water.
 I saw a kid crying so I asked him where his parents were... god I love working at orphanages.
What’s 2+2? Wrong answers only.
Answer:
queef
Step-by-step explanation:
puthay fart
Can someone help me on this place I will mark brianliest ( also in note if you dont want to help then dont help me and if your going to be rude like saying do it yourself please keep that to yourself and be considerate with your manners thank you ^^
Answer:
That is an entire worksheet. Also just download PhotoMath on your phone and it will give you the answers.
Step-by-step explanation: I'll get you started
1) 1
2) 2
3) 4
4)
5) 20
6) 1
7) 2
8) 20
Answer:
1. 1/2
2. 2/3
3. 4/7
4. 10/25
5. 20/40
6. 1/10
7. 2/6
8. 20/90
9. 27/36
10. 1/6
11. ?
12. 2/5
13. 2/3
14. 11/12
15. 17/25
16. 2/8
17. 6/7
18. 42/70
Step-by-step explanation:
Donovan is training for a marathon. He currently can run 1 lap around the track in 0.85 minutes. How long will it take him to run 12.5 laps?
ASAP
Answer:
10.625
Step-by-step explanation:
Answer:
10 minutes and 37.5 seconds
Step-by-step explanation:
0.85 is 51 seconds. I will be using this because it is easier for me.
Multiply 51 • 12 = 612 seconds for 12 laps. Divide 612 ÷ 60 = 10.2. You get 10.2 minutes. This is 10 minutes and 12 seconds for 12 laps.
Divide 51 by 2 to find how long it takes for 1/2 a lap. You will get 25.5 seconds for half a lap.
Add them together: 10 min 12 sec + 25.5 sec = 10 minutes and 37.5 seconds
A beverage factory produced 337.2 liters of cream soda in 4 minutes. How much cream soda, on average, did the factory produce
each minute?
A)
82.55
B)
84.25
84.30
D)
85.10
PLEASE HELPPP
An electrician charges $20 for a service call plus $40 per hour of service. Write an equation in slope-intercept form for the cost, C, after h hours of service. What will be the total cost for 8 hours of work? 10 hours of work?
Answer:
Step-by-step explanation:
Regular charge- $20
Every hour of service cost- $40
Equation or slope intercept form-
C= 40h+20
Part 1- 20+40(8)=
40 multiplied by 8 320+20 = $340
Part 2- 20+40(10)=
40 multiplied by 10 400+20 = $420
how do the graphs of f(x)= x and g(x)= 3|x| relate
a.
The graph of g(x) is the graph of f(x) stretched vertically.
c.
The graph of g(x) is the graph of f(x) shrunk vertically.
b.
The graph of g(x) is the graph of f(x) shifted down 3.
d.
The graph of g(x) is the graph of f(x) shifted up 3.
Please select the best answer from the choices provided
A
B
C
D
Answer: a.) The graph of g(x) is the graph of f(x) stretched vertically.
Step-by-step explanation: hope that helps! < 3
Find the length of side x in simplest radical form with a rational a
denominator.
Step-by-step explanation:
[tex] \cos(30) = \frac{x}{4} \\ x = 2 \sqrt{3} [/tex]
I need urgent help with this
Step-by-step explanation:
sorry, but I dont know the answer
1. List all the possible rational solutions for each equation.
a. 4x4 + 13x3 - 124 x2 + 212x - 8 = 0
Answer:
x=−7.974656,0.038604
Step-by-step explanation:
4x4+13x3−124x2+212x−8=0
Brainleist please
The possible rational solutions for the given equation are x= −7.974656 and 0.038604.
What is an equation?
In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is [tex]4x^4+13x^3-124x^2+212x-8=0[/tex].
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Substitute x= ±1, ±1/2, ±1/4, ±2, ±4, ±8 in the given equation and verify
When x=1,
[tex]4(1)^4+13(1)^3-124(1)^2+212(1)-8=0[/tex]
⇒ 4+13-124+212-8=0
⇒ LHS ≠RHS
When x= -1
[tex]4(-1)^4+13(-1)^3-124(-1)^2+212(-1)-8=0[/tex]
⇒ 4-13-124-212-8=0
⇒ LHS ≠RHS
When x=1/2
[tex]4(\frac{1}{2} )^4+13(\frac{1}{2} )^3-124(\frac{1}{2} )^2+212(\frac{1}{2} )-8=0[/tex]
⇒ 1/4 +13/8 -31+106-8=0
⇒ LHS ≠RHS
When x=-1/2
[tex]4(-\frac{1}{2} )^4+13(-\frac{1}{2} )^3-124(-\frac{1}{2} )^2+212(-\frac{1}{2} )-8=0[/tex]
⇒ 1/4 -13/8 -31-106-8=0
⇒ LHS ≠RHS
Similarly Find every combination of ±p/q, where p is a factor of the constant and q is a factor of the leading coefficient.
Here, x= −7.974656 and 0.038604
Therefore, the possible rational solutions for the given equation are x= −7.974656 and 0.038604.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
Answer the question below.
Answer: H
Step-by-step explanation:
Point C line CB line segment CA and ray CD
A factory ships 225 boxes to fill an order. The total price of the parts un each box is $3990. What is the total value of the shipment?
Answer:
$897750
Step-by-step explanation:
3990 x 225 = 897750, so the total price of the shipment is: 897750
plz help asap!!!
Imagine you are hanging two identical picture frames. Each frame is 28 inches wide and the wall you are hanging them on is 10 feet wide. There needs to be 8 inches of space in between the two frames. How far do the frames need to be from the left and right side of the walls in order to be centered?
Answer:
27 inches from each side to be centered
Step-by-step explanation:
please help me ASAP!!!
Answer:
18
Step-by-step explanation:
parallel lines cut by a transversal are proportional, thus we can set up a ratio to solve for the missing value
7/14 = 9/x
7x = 126
x = 18
¿Cuál es el resultado de (-2)(-3)*(-1)x 5?
Nadya has 36 blueberries and 45 raspberries that she will be putting into cups of yogurt to make after-school snacks. She wants to put an equal number of blueberries and an equal number of raspberries into each cup. She uses all the berries. How many cups does she make {Use G.C.F.}
Answer:
Number of blueberries = 36
Number of raspberries = 45
You need to find the Number in Each.
HCF Of 36 and 45 =is 9
This answer is
36/9
Find all points on the x-axis that are 14 units from the point (4, -7).
(Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.)
Answer:
The points are: (16.12,0),(-8.12,0).
Step-by-step explanation:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}[/tex]
[tex]\bigtriangleup = b^{2} - 4ac[/tex]
Distance between two points:
Suppose we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Find all points on the x-axis that are 14 units from the point (4, -7).
Being on the x-axis mean that they have y-coordinate equal to 0, so the point is (x,0).
The distance is 14. So
[tex]\sqrt{(x-4)^2+(0-(-7))^2} = 14[/tex]
[tex]\sqrt{x^2 - 8x + 16 + 49} = 14[/tex]
[tex]\sqrt{x^2 - 8x + 65} = 14[/tex]
[tex](\sqrt{x^2 - 8x + 65})^2 = 14^2[/tex]
[tex]x^2 - 8x + 65 - 196 = 0[/tex]
[tex]x^2 - 8x - 131 = 0[/tex]
So [tex]a = 1, b = -8, c = -131[/tex]
[tex]\bigtriangleup = (-8)^{2} - 4(1)(-131) = 588[/tex]
[tex]x_{1} = \frac{-(-8) + \sqrt{588}}{2} = 16.12[/tex]
[tex]x_{1} = \frac{-(-8) - \sqrt{588}}{2} = -8.12[/tex]
The points are: (16.12,0),(-8.12,0).
Classify the equation as having one solution, infinitely many solutions or no
solution. *
9r + 5 – 4 = 4r + 5r – 12
Choose
Answer:
No solutions
Step-by-step explanation:
Simplify both sides of the equation as much as possible:
9r + 5 - 4 = 4r + 5r - 12
9r + 1 = 9r - 12
Both sides have "9r" which when cancel out, leave the equation as:
+1 = -12
This means there are no solutions.
You are going shopping for clothes. You will buy 2 shirts for each pair of pants. Shirts cost $25.00, and pants cost $30.00. You only have $200.00 to spend. How many shirts and pants can you buy
Answer : 30x=22y <= (less than or equal to) 130
Step-by-step explanation:
For a baseball game, organizers estimate that 15,000 people will attend if it is not raining. If it is raining, organizers estimate that 9,000 people will attend. On the day of the game, meteorologists predict a 60% chance of rain. Determine the expected number of people who will attend this game.
Answer:
9,000
Step-by-step explanation:
This question seems to be somewhat incomplete, but 60% is above 50 and we round if its above 5, which essentially gives the answer.
identify ROTATIONS
WHICH COLOR
SHOWS THE
ORANGE SHAPE
ROTATED 270°
COUNTER-
CLOCKWISE?
?
Answer:
blue
Step-by-step explanation:
270° moves by 3 quadrants
Answer:
Blue
Step-by-step explanation:
Rotate 1/2 circle (180°) counterclockwise and you go through the yellow to the green.
Go another 1/4 circle (90°) and you get to the blue.
180° + 90° = 270°
14 + 6 + (–2) + (–10) + (–18) + (–26) + (–34) What is the summation notation for the arithmetic series? Enter the correct values for x, y, and z.
x =
y =
z =
Answer:
total -70
Step-by-step explanation:
x =18
y=-28
Z = -60
An Arithmetic series: 14 + 6 + (–2) + (–10) + (–18) + (–26) + (–34)
The Total value is = -70
x = 18
y = -28
Z = -60
Calculation of Arithmetic SeriesAn Arithmetic series: 14 + 6 + (–2) + (–10) + (–18) + (–26) + (–34)
1st an 2nd element difference is = 14 - 6 = 8
2nd and 3rd element difference is = - 6 - 2 = -8
3rd and 4th element difference is = - 2 + 10 = 8
4th and 5th element difference is = -10 + 18 = 8
The difference (x,y and z) is 8 and also it's negative because the series is lowering the previous value.
Now, Proof of x,y and z = - 8
14 - 8 = 6
6 - 8 = - 2
- 2 - 8 = - 10
- 10 - 8 = - 18
- 18 - 8 = - 26
-26 - 8 = -34
Therefore, The value is = total -70
x = 18
y = -28
Z = -60
Find more information about Arithmetic Series here:
https://brainly.com/question/24295771
(easy points)
If it is now November, what month will it be in 17 months? *
November
January
March
April
Answer:
April
Step-by-step explanation:
If you add 12 months it will be November once more. Then add 5 months which is April.
In the diagram below, the red angle $(\angle YAK)$ and the blue angle $(\angle OAT)$ are both right angles. If $\angle YAO=23^\circ,$ then what is the measure of $\angle KAT$?
Answer:a
Step-by-step explanation:
Answer:
Hey kroy21; the answer is 23°.
Step-by-step explanation:
Angle YAO and angle KAT are both complementary to angle OAK.
Angle OAK= 90°- Angle YAO
= 90° - 23°
= 67°
Then:
Angle KAT= 90° - Angle OAK
=90° - 67°
=23°
Hope this helps!!!
:o)
marta has a lower probability of winning than Elena has. Which could be the outcome that marta needs to win the game? select three options.
Answer:pic
Step-by-step explanation:
Express the radical using the imaginary unit I. Express your answer in simplified form
-22
Given:
The radical expression is
[tex]\pm \sqrt{-22}[/tex]
To find:
The simplified form of the given expression by using the imaginary unit i.
Solution:
We have,
[tex]\pm \sqrt{-22}[/tex]
It can be written as
[tex]\pm \sqrt{-22}=\pm \sqrt{22}\sqrt{-1}[/tex] [tex][\because \sqrt{ab}=\sqrt{a}\sqrt{b}][/tex]
[tex]\pm \sqrt{-22}=\pm \sqrt{22}i[/tex] [tex][\because \sqrt{-1}=i][/tex]
Therefore, [tex]\pm \sqrt{-22}=\pm \sqrt{22}i[/tex].
Please answer thx people
Answer:
159
Step-by-step explanation:
10 with a exponent of 2 is 100
3+5 with a exponent of 2 is 64
100+64=164
164 - 5 = 159
The exact same experiment was conducted 14 times. How many times should the results have been similar for them to be valid?A.8B.5C.14D.7
Answer:
I would have to say C.14
Step-by-step explanation:
Because if you are running the same exact emperiment with the same exact materials everytime then you should get the same outcome.
Hope this helps! : D
At midnight, the temperature in a city was 5 degrees Celsius. The temperature was dropping at a steady rate of 2 degrees Celsius per hour. What is the temperature in the city at 4 am? *
20 degrees
-3 degrees
7 degrees
-6 degrees
Answer:
it is 3 ... 75 percent sure