9514 1404 393
Answer:
an = 2(-4)^(n-1)
Step-by-step explanation:
The general form of the explicit formula for a geometric series with first term a1 and common ratio r is ...
an = a1·r^(n-1)
Your sequence has a1=2 and r=-8/2 = -4. So, the explicit formula is ...
an = 2(-4)^(n-1)
From a standard deck of cards, your first draw is a black card. You replace the card, and the second draw is a diamond. Which THREE statements are correct for the outcome of the event? A) The probability of drawing the black card is 1/2 B) The probability of drawing the diamond is 1/4 C)The probability of the compound event is 1/6 D) The probability of the compound event is 1/8 E) The probability of the compound event is 3/4
Mr. Johnson is planning his wife's 50th birthday party. He has told the restaurant to plan on 50 people and they gave him a cost of $8.50 per person. The actual number of people that came to the party was 36% more than expected. How much more will Mr. Johnson have to pay for the extra people? need example too please
Answer:
$153 more
Step-by-step explanation:
50 x .36 = 18
50 + 18 = 68
50 x 8.5 = 425
68 x 8.5 = 578
578 - 425 = 153
Answer:
It will cost a total of $153.00 MORE
Step-by-step explanation:
If the planned amount was 50 people and 36% more showed up we would need to calculate 50x.36= 18. Then multiply 18 by the cost per person meaning 18x8.5=$153.00
Zoe compares the price of a sweatshirt at two stores. At Store A, the sweatshirt costs $25. A friend told her that the sweatshirt costs 30% more at Store B.
Zoe wrote the expression 25+0.3(25) to find the price of the sweatshirt at Store B.
Which equivalent expression could she also use to find the price of the sweatshirt at Store B?
A) (1+0.3)25
B) (1−0.3)25
C) 1+0.3(25)
D) 25 + 0.3
Answer:
A) (1+0.3)25
Explanation:
Zoe's expression 25+0.3(25) equals to 32.5. So the only expression that equals to 32.5 is A) (1+0.3)25.
Haley is going on a vacation to Australia. Her flight leaves at 10:20 A.M. It takes 1 hour and
20 minutes to get to the airport, and Haley wants to be at the airport 55 minutes before her
flight leaves. What is the latest time that Haley can leave for the airport?
HELPPPPP FACTUAL ANSWERS
Answer:
8:05 am is the time she will have to leave her house to get to the airport on time.
Step-by-step explanation:
First, subtract 55 minutes from 10:20.
10:20 - 20 = 10:00
10:00 - 35 = 9:25
This is the time she wants to arrive. 9:25
Now, we have to subtract an hour and 20 minutes
9:25 - 1:00 = 8:25
8:25 - 20 = 8:05
Hope this helped and have a great day! :)
Find a consecutive odd numbers where the sum of the first three numbers is 15 greater then the final two numbers.
Answer:
15, 17, 19
Step-by-step explanation:
x + x+2 + x+4 = 15 + (x+2 + x+4)
3x + 6 = 15 + 2x + 21
x = 15
x+2 = 17
x+4 = 19
6m-8=16 solve plssssssss!!!!
Please help, im stuck and this is due in 10 minutes.
Plz help me well mark brainliest if you are correct!!
Answer:
B) 35°
Step-by-step explanation:
12.00P.M.= 85°
8.00A.M.= 50°
=85-50
=35°
Solve: 3^x+1 + 3^x= 108
Answer:
x = 3
Step-by-step explanation:
[tex] {3}^{(x + 1)} + {3}^{x} = 108 \\ \\ {3}^{x} .3 + {3}^{x} = 108 \\ \\ {3}^{x} (3 + 1) = 108 \\ \\ {3}^{x} (4 )= 108 \\ \\ {3}^{x} = \frac{108}{4} \\ \\ {3}^{x} = 27 \\ \\ {3}^{x} = {3}^{3} \\ \\ \implies x = 3[/tex]
Darell made a scale drawing if a house its lot he used the scale 1 inch: 9 feet in the drawing the backyard is 5inches wide what is the width of the actual yard
Answer:
Your answer is 45
Step-by-step explanation:
Hope this helps! :D
Carl is filling flowerpots with soil. Each flowerpot is a cylinder with a radius of 7cm and a height of 10 cm. If Carl has 24,000 cubic centimeters of soil, how many flowerpots can he fill? Explain.
Answer:
see below
Step-by-step explanation: 5 26 9 17
cylinder with a radius of 7cm and a height of 10 cm
find the value of each flower pot and divided it into 24000 cm³
flower pot = π r² h = π × 7² × 10 = π490 = 1539.38 cm³
24000 cm³ / 1539.38 cm³ = 15.59 flower pots
so Carl could only FILL 15 flower pots
Carl is filling flowerpots with soil. Each flowerpot is a cylinder with a radius of 7cm and a height of 10 cm. If Carl has 24,000 cubic centimeters of soil. So, Carl could only fill 15 flower pots.
What is the volume of a right circular cylinder?Suppose that the radius of considered right circular cylinder be 'r' units.
And let its height be 'h' units.
Then, its volume is given as:
[tex]V = \pi r^2 h \: \rm unit^3[/tex]
The cylinder with a radius of 7cm and a height of 10 cm.
The flower pot = π r² h
[tex]= \pi \times 7^2 \times h\\ = 490 \pi \\ = 1539.38 cm^3[/tex]
= 24000 cm³ / 1539.38 cm³
= 15.59 flower pots
So, Carl could only fill 15 flower pots.
Learn more about the volume of the cylinder here:
https://brainly.com/question/12763699
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Find the area of each figure. Round to the nearest tenth. Use 3.14 or 22/7
a. 18.8
b.9.4
c. 113
d. 28.3
Answer:
d. 28.3
Step-by-step explanation:
Given
Radius ( r) = 3 m
Area of the circle
= π r²
= 3.14 * 3* 3
= 28.26
= 28.3 ft²
A building 190 feet tall casts a 60-foot long shadow. If a person stands at the end of the shadow and looks up to the top of the building, what is the angle of the person's eyes to the top of the building (to the nearest hundredth of a degree)? (Assume the person's eyes are 4 feet above ground level.)
Answer:
The angle is approximately 81 degrees. Since the person's eyes are 4 feet above the ground level, and the top of the building is 190 feet tall, the vertical distance between the person's eyes and the top of the building is 190-4=186 feet. The horizontal distance is 30 feet, since the person is standing at the end of the shadow. Therefore tan(angle)=186/30, the angle is equal to arctan(186/30)=81, approximately.
Step-by-step explanation:
f(x) = x^2. what is g(x)?
If the radius of a cylinder is 3 centimeters and the height of the cylinder is 4 centimeters, then the area of the lateral surface is 75.36 square centimeters. True False
Answer:
True
Step-by-step explanation:
The Answer is 75.36 cm
2 x (pi)3.14 = 6.28
6.28 x (r)3 = 18.84
18.84 x (h)4 = 75.36
The statement, "If the radius of a cylinder is 3 centimeters and the height of the cylinder is 4 centimeters, then the area of the lateral surface is 75.36 square centimeters." is true.
What is cylinder?"A cylinder is a three-dimensional geometrical structure which consists of two circular bases connected with a curved surface."
Formula to calculate the area of the lateral surface of a cylinder:For a cylinder with radius r and height h,
the curved / lateral surface area is,
A = 2 × π × r × h
Given: r = 3 cm, h = 4 cm
Using the formula for area of lateral surface of a cylinder:
⇒ A = 2 × π × 3 × 4
⇒ A = 24 × π
⇒ A = 24 × 3.14
⇒ A = 75.36 sq.cm.
Therefore, given statement is true.
Learn more about lateral surface area of cylinder here:
https://brainly.com/question/14192465
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what number between 121 and 149 is exactly divisible by both 3 and 5
Answer:
135
Step-by-step explanation:
135 by 3 is 45
by 5 is 27
Answer:
135
Step-by-step explanation:
135 ÷ 5 = 27
135 ÷ 3 = 45
hope this helps
the perimeter of the rectangular window glass is 26 dm. if the area is 36 sq dm, what are the dimensions of the window glass?
Answer:
w = 4 and l = 9 or
l = 4 and w = 9
Step-by-step explanation:
let l = length
let w = width
2l + 2w = 26
lw = 36
l = 36/w
2(36/w) + 2w = 26
72/w + 2w = 26
(72 + 2w²) ÷ w = 26
cross-multiply:
2w² + 72 = 26w
2w² - 26w + 72 = 0
factor:
2(w² - 13w + 36) = 0
2(w - 4)(w - 9) = 0
w = 4 and l = 9 or vice versa
Use systems of linear equations solve x+2y=4
Must include;
Step to solve problem
Answer: y=2-2x
Step-by-step explanation:
What is another way to express 42 +24?
Answer:
42*2
Step-by-step explanation:
42*2
Answer:
24 + 42, if thats not what your looking for comment and I'll fix it! :)
In each of the following equations, find all the integers x satisfying the equation:
a. | x-20 | = 20
b. | x | + 7 = 16
c. | 15x | = | -15x |
Answer:
b
Step-by-step explanation:
What is the value when 18 times of the difference of 15 and 12
divided by 6?
Answer:
9
Step-by-step explanation:
forget all this grammar,
let the number be x,
x = {18(15-12)} / 6
x = {18(3)} / 6
x= 54/6
x= 9
value is therefore 9
Which equation in rectangular form describes the parametric equations x=2-3 cos t and y=1+4 sin t?
Answer:
The parametric equations represents an ellipse by the rectangular equation [tex]\frac{(x-2)^{2}}{9} + \frac{(y-1)^{2}}{16} = 1[/tex].
Step-by-step explanation:
We proceed to use the following trigonometric identity to derive an expression in rectangular form:
[tex]\cos^{2} t + \sin^{2} t = 1[/tex] (1)
Where:
[tex]\cos t = \frac{2-x}{3}[/tex] and [tex]\sin t = \frac{y-1}{4}[/tex]
Then, we expand the expression as follows:
[tex]\frac{(x-2)^{2}}{9} + \frac{(y-1)^{2}}{16} = 1[/tex] (2)
The parametric equations represents an ellipse by the rectangular equation [tex]\frac{(x-2)^{2}}{9} + \frac{(y-1)^{2}}{16} = 1[/tex].
900% of what number is 7,470
Answer:
830
Step-by-step explanation:
7470/9 = 830
Answer:
900% of 7470=67230
Step-by-step explanation:
To get the solution, we are looking for, we need to point out what we know.
1. We assume, that the number 7470 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 7470 is 100%, so we can write it down as 7470=100%.
4. We know, that x is 900% of the output value, so we can write it down as x=900%.
5. Now we have two simple equations:
1) 7470=100%
2) x=900%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
7470/x=100%/900%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 900% of 7470
7470/x=100/900
(7470/x)*x=(100/900)*x - we multiply both sides of the equation by x
7470=0.11111111111111*x - we divide both sides of the equation by (0.11111111111111) to get x
7470/0.11111111111111=x
67230=x
x=67230
now we have:
900% of 7470=67230
Solve for X!!! i neeed help
spam will be reported.
Answer:
x=5
Step-by-step explanation:
All we have to do for this equation is cross multiply. This means we multiply 7 and 5 together and 5 and x+2 together. This will make the equation 35=5(x+2). Simplify this to get 35=5x+10. Subtract 10 from both sides to get 5x=25. You want to isolate x so you have to divide both sides by 5. This will make the equation x=5.
If this has helped please mark as brainliest
What is the distance between (2, 5) and (2, -7)?
Question 1 options:
2
5
12
14
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
what is the answer to 3(x-2)+15=-3(x-3)
i will give brainliest
Answer:
x = 0
Step-by-step explanation:
3(x - 2) + 15= -3(x - 3)
3x - 6 + 15 = -3x + 9
3x + 9 = -3x + 9
3x + 3x = 9 - 9
6x = 0
x = 0
1. Josiah Sloan deposited $8,000 at 5.5% interest compounded daily for 25 days.
Answer:
$30507.14
Step-by-step explanation:
(8000)(1+.055)^25= 30507.138789 rounded to the nearest penny = $30507.14
Find the expected value of the winnings
from a game that has the following
payout probability distribution:
Payout ($) 2
4
6
8
10
Probability 0.45 0.3 0.1 0.1 0.05
Expected Value = [?]
Round to the nearest hundredth.
PLEASE HELP !!!
============================================================
Explanation:
Refer to the table below (attached image). I've copied your table and added a third row at the bottom. This new row is the result of multiplying each payout value with the corresponding probability.
Example: for the first entry of this row, have 2*0.45 = 0.9
Once that third row is filled out, you add up everything in that row. That will lead to the expected value.
The expected value is: 0.9+1.2+0.6+0.8+0.5 = 4
Interpretation: You expect, on average, to win $4 each time you play the game. This assumes that the cost to play the game is 0 dollars. If the cost is something else, then it will affect the expected value.
Because the expected value is not 0, this game is not mathematically fair (the bias is leaning in favor of the player).
Zahra runs an activity club
She needs 2 members of staff for every 15 people at the activity club.
There will be 90 people at the activity club on Monday
Zahra has 10 members of staff available for Monday.
Does Zahra have enough staff available for Monday?
(3)
Answer:
No, Zahra does not have enough staff available
Step-by-step explanation:
Given
[tex]Ratio = 2 : 15[/tex] --- staff to people
[tex]Staff = 10[/tex]
[tex]People = 90[/tex]
Required
Are there enough staff?
Start by representing the data as a ratio
[tex]Ratio = Staff : People[/tex]
So, we have:
[tex]Ratio = 10 : 90[/tex]
Divide by 10
[tex]Ratio = 1 : 9[/tex]
Multiply by 2
[tex]Ratio = 2 : 18[/tex]
This means that, she has 2 members of staff for every 18 people (instead of the expected 2 to 15 people)
Hence, Zahra does not have enough staff available
HELP ME PLEASEEEEEEEEEEEEEEEEEEE
Answer:
it would be the cube
Step-by-step explanation:
When you imagine the cube it has 6 faces and 12 edges
Answer: I feel like cube, because it has 6 faces
Step-by-step explanation: