Answer:
For Soccer ball:
x = | 12. 05 + 3.55 |
For basketball:
x = | 8.00 + 0.5 |
For volleyball:
x = | 4.44 + 0.18 |
Step-by-step explanation:
Given the following :
Let x = ball's actual air pressure
_________avg Recommended psi ___tolerance
Soccer ball____ 12. 05 ____________+3.55
Basketball _____8. 00_____________+0.5
Volleyball _____ 4.44 _____________ + 0.18
Actual air pressure = | average recommended psi + tolerance |
Hence ;
For Soccer ball:
x = | 12. 05 + 3.55 |
For basketball:
x = | 8.00 + 0.5 |
For volleyball:
x = | 4.44 + 0.18 |
Write a recursive formula for the sequence below. Use the variable "n" for your formula in your answer.
{2, -8, 32, -128, 512, ... }
Answer:
[tex]\begin{cases}a_1 = 2\\\\a_{n} = -4*a_{n-1}\end{cases}[/tex]
============================================
Explanation:
The first line of the answer says "the first term is 2".
The second line says "take any term and multiply by -4 to get the next term".
The [tex]a_n[/tex] represents the nth term while [tex]a_{n-1}[/tex] is the term just before it.
The second line shown above is the same as writing [tex]a_{n+1} = -4*a_n[/tex]
---------------
The -4 is found by dividing any term over its previous one
-8/2 = -4
32/(-8) = -4
-128/32 = -4
512/(-128) = -4
This shows the common ratio is -4 and this sequence is geometric.
The “Star Player” paradox haunts many pro athletes. For example, an NBA player may be highly rated, but their statistics don’t quite match up. For example, Lebron James in 2015 made 293 shots “outside the paint” (i.e., not under the basket). But his basket-scoring percentage this year when shooting at these distances was a dismal 34%. Roughly, how many of these baskets did he make?
Answer:
yay
Step-by-step explanation:
yayayayayayayayayayayayayayayayayayayayayayayayayayay
Avery is tracking the height of a plant that grows at a constant rate. After the third week, the plant is 8.5 centimeters high. After the seventh week, the plant is 18.5 centimeters high. What was the original height, in centimeters, of the plant and how many centimeters did it grow per week?
Answer:
Original Plant was 1cm and it grew 2.5 cm per week.
Step-by-step explanation:
Using the Slope Formula (y2-y1/x2-x1)we can get how many centimeters it will grow in a week.
18.5cm-8.5cm/7-3
10cm/4
2.5 cm per week.
The original height of the plant were 1 cm and raised at rate of 2.5 cm per week.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
In 3rd week, plant height = 8.5 cm
In seventh week= 18.5 cm
So, the height in-between 4 weeks = 18.5 - 8.5 = 10
then, the height raised in one week = 10/4 = 2.25 cm
Thus, the original height of the plant were 1 cm and raised at rate of 2.5 cm per week.
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Eli had mini-golf scores 0f -3, -4, and -3. What was his total score for three rounds
Answer:
add all........
Step-by-step explanation:
-3+(-4)+(-3)
-3-4-3
-10
Please include work!
Answer:
x = ± 4
y = - 2
Step-by-step explanation:
y = 0.5x² - 10 ------------------------(I)
y = -x² + 14 ------------------------(II)
Substitute the y value in equation (II)
0.5x² - 10 = -x² + 14 {Add x² to both sides}
0.5x² + x² -10 = 14 {combine like terms}
1.5x² - 10 = 14 {Add 10 to both sides}
1.5x² = 14 + 10
1.5x² = 24 {Divide both sides by 1.5}
1.5x²/1.5 = 24/1.5
x² = 16
x = ±4
Substitute x = 4 in (I)
y = 0.5 * 4² - 10
= 0.5*16 - 10
= 8- 10
y = -2
Substitute x = -4 in (I)
y = 0.5 * (-4)² - 10
= 0.5*16 - 10
= 8- 10
y = -2
Solve for x round your answer to the nearest 10th
Answer:
x = 13 / sin(55)
Step-by-step explanation:
sin(x)= opposite / hypotenuse
sin(55) = 13 / x
rearrange equation for x and solve
Choose the point-slope form of the equation below that represents through the points (-3,2) and (2,1)
Answer:
-1/4
Step-by-step explanation:
2-1 over -3-1 = 1/-4
- 4x + 9y = 9
-8x + 10y = 10
Answer:
y = 1, x = 0
Step-by-step explanation:
multiply -4x +9y = 9 by -2 to get 8x -18y = -18
combine the two equations to get -8y = -8
divide both sides by -8 to get y = 1
plug in 1 as the y into one of the equations and solve to get x = 0
Answer:
(0,1)
x = 0
y = 1
Step-by-step explanation:
(-4x + 9y = 9)-8
(-8x + 10y = 10)4
32x - 72y = -72
-32x + 40y = 40
-32y = -32
y= -32/-32
y=1
-4x + 9(1) = 9
-4x + 9 = 9
-4x = -9 + 9
-4x = 0
x = 0/-4
x = 0
Solve 22 + 2x + 7 = 0 ( using the Quadratic Formula. Select all that
apply.
O x=-1+iv
Ox=-1-16
O x=-1+6
O x=-1-16
Answer:
x = -29/2
Step-by-step explanation:
9. What is the value of x in the
figure shown?
104°
38°
Answer:
x = 66
Step-by-step explanation:
So the angle with 104 that's the outside measure of the angle but we need to find the inside measure so first.
180 -104= 76 (so 76 is the measure to the inside angle)
Now
76 + 38 + x = 180 (collect like terms)
114 + x = 180 (minus 114 on both sides)
x = 66
5 2/3 divided by 3/10
please answer as a whole number or fraction
Answer:
18 8/9
Step-by-step explanation:
make 5 2/3 an improper fraction. Then multiply it by the inverse of the next number. 17/3 x 10/3 = 170/9 or 18 8/9
[tex] = 5 \frac{2}{3} \div \frac{3}{10} [/tex]
[tex] = \frac{(3 \times 5 + 2)}{3} \div \frac{3}{10} [/tex]
[tex] = \frac{17}{3} \div \frac{3}{10} [/tex]
[tex] = \frac{17}{3} \times \frac{10}{3} [/tex]
[tex] = \frac{170}{9} [/tex]
[tex] = 18 \frac{8}{9} [/tex]
[tex]therefore \: , 5\frac{2}{3} \div \frac{3}{10} = 18 \frac{8}{9} [/tex]
can i get help plzz .....
Answer:
$0.30
Step-by-step explanation:
If you already spent $5 then you have $6 remaining so you will just divide 6 and 20 and you will get 0.3 so $0.30
a gold bar weighs 12.6 kg. if there are 0.45 kilograms in 1 pound, then how much does the gold bar weigh in pounds?
Answer:
28pounds
Step-by-step explanation:
0.45=1pound
12.6
12.6/0.45=28pounds
Answer:
28 lb
I got help from the other answer
Bert’s pizza contains x toppings.
Ernie’s pizza contains 4 times the number of toppings as Bert’s pizza.
The total number of toppings on the two pizzas is 15.
What is x, the number of toppings on Bert’s pizza?
Answer:
x=3
Step-by-step explanation:
x = number of toppings on berts pizza
Berts pizza has 1x toppings
Ernies pizza has 4x toppings
there are 15 toppings on both pizzas
x + 4x = 15 (combine like terms)-> 5x=15 (divide both sides by 5)-> x=3
gretchen made a paper cone to hold a gift for his friend . the paper cone was 11 inches high and had a radius of 3 inches. find the volume of the cone to the nearest tenth,use 3.14
Answer:
49.5
Step-by-step explanation:
11 times 3 is 33 so if you take 33 times 1.5 it is 49.5
Which represents the height of the prism?
Answer:
[tex]64 {a}^{3} {b}^{6} = 16a {b}^{3} \times h[/tex]
[tex] \frac{64 {a}^{3} {b}^{6} }{16a {b}^{3} } = h[/tex]
[tex]4 {a}^{2} {b}^{3} = h[/tex]
Caitlyn has $100 in her savings account. Her parents asked her to start paying for her Disney+ subscription next month, which costs around $8.00 each month. She currently has no job, no income, and no allowance to be able to add to her account.
1. Write an equation that shows how much money she has left in the account (y) after x months have passed.
2. How much money will be left in the account after 2 months?
3. Will her savings ever run out? Explain.
Evaluate the limit, if it exists. Show work.
lim→5 2−3−10 / 2−10
Answer:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
Exact Form: 13/3
Decimal Form: 4.3
Mixed Number Form:4 1/3
Step-by-step explanation:
Hope this helps ;)
What is an equation of the line that passes through the points (-6,3) and
(-6, -3)?
Answer: The equation: x=-6
Step-by-step explanation: Use desmos for graphing equations
Which model represents the equation below? Negative 4 x + (negative 2) = 3 x + (negative 5) 3 x tiles, 1 negative x tile, and 2 negative 1 tiles = 3 x tiles, 3 positive 1 tiles, and 2 negative 1 tiles 4 x tiles and 2 negative 1 tiles = 3 x tiles and 5 negative 1 tiles 4 negative x tiles and 2 negative 1 tiles = 3 x tiles and 5 negative 1 tiles 4 negative x tiles and 2 negative 1 tiles = 3 x tiles and 5 positive 1 tiles Mark this and return
Answer:
-4 x + (-2) = 3 x + (-5) 3 x tiles
Hope this Helps!
Answer:
b
Step-by-step explanation:
Took test and ijm smartish lol edge
Use elimination to determine which ordered pair is the solution to the system of equations below. Use the space below to show all steps (by typing the steps) in order, then choose the correct answer. You can write the solution as an ordered pair or write the letter of the correct answer. All work must support the answer that you choose. -2x - 14 = 10 2x + 2y = 14
Answer:
in the ordered pair; ( x = 27/4 , y = 1/4 )
Step-by-step explanation:
Given that:
The system of the equation shown below is:
-2x - 14y = 10
2x + 2y = 14
We are to use the elimination method to determine the ordered pair.
From the above equation:
-2x - 14y = 10 --- (1)
2x + 2y = 14 --- (2)
Add both equation 1 and 2 together in order to eliminate x, then we can solve for y first.
-2x - 14y = 10
2x + 2y = 14
0 - 16y = -4
- 16 y = - 4
divide both sides by - 16, Then:
-16y /-16 = -4/-16
y = 1/4
Since y = 1/4, Then from equation (2), x will be :
2x + 2y = 14
2x + 2(1/4) = 14
2x + 1/2 = 14
2x = 14 - 1/2
2x = 13.5
x = 13.5/2
x = 27/4
Thus, in the ordered pair; ( x = 27/4 , y = 1/4 )
-4(4x-9)=2x
I need help
Step-by-step explanation:
-4(4x-9)=2x
-16x+36= 2x
-16x - 2x = -36
-18x = -36
x = 2
Answer:
x = 2
Step-by-step explanation:
-4 (4(2)-9)=2x
-4 (8-9) = 2x
-4 (-1) = 2x
4 = 2x
divide by 2
2 = x
What is an equivalent expression for 65 ÷ 63.
Which of the following is not protected by the FDIC?
a.
Safety deposit boxes
b.
Savings accounts
c.
Checking accounts
d.
Certificates of Deposit (“CDs”)
The account which is not protected by the FDIC is Checking Account. Thus option 3rd is correct.
What are the 3 types of savings?The three kinds of saving accounts are regular deposits, money markets, and Certificates of Deposits. There is a difference in all three types in terms of accessibility and amount of interest.
The Checking account is defined as the account which carries the day-to-day transactions of money. Which ensures easy access to money.
Most people generally use a debit card or checks to make purchases. Thus option 3rd is correct.
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Answer:
A. Safety deposit boxes
Step-by-step explanation:
I did it right
HURRY PLEASE!! I’ll mark you as brainliest
Evan has agreed to mow his neighbor's lawn each week. His neighbor will pay him $15 each week. Evan will also babysit some hours each week for $10 per hour. Evan needs to make at least $100 per week to save for his own car, but if he makes $200 or more each week his parents will charge him rent. How many hours h should Evan agree to baby-sit each week to avoid paying rent but still be able to save for his car?
Answer:
Evan should agree to babysit for less than 18.5 hours (possible answer is 18 hours)
Step-by-step explanation:
let x = amount of hours evan should agree to babysit
10x + 15 < 200
10x < 185
x <18.5
Jessica has 13 books in her library. She bought several books at a yard sale over the weekend. She now has 64 books in her library. How many books did she buy at the yard sale ?
Answer:
51 books
Step-by-step explanation:
Answer:
51
Step-by-step explanation:
Mike runs cross country. He runs 7 miles in 56
minutes. He runs 20 miles in 160 minutes. If
he keeps the same pace, how long will it
take him to run 15 miles? Fill in the table with
the missing time for the 15-mile run, and
then graph the data.
The probability distribution of the random variable X represents the number of hits a baseball player obtained in a game for the 2012 baseball season. x 0 1 2 3 4 5 Upper P (x )0.1664 0.3302 0.2933 0.1485 0.0369 0.0247 The probability distribution was used along with statistical software to simulate 25 repetitions of the experiment (25 games). The number of hits was recorded. Approximate the mean and standard deviation of the random variable X based on the simulation. The simulation was repeated by performing 50 repetitions of the experiment. Approximate the mean and standard deviation of the random variable. Compare your results to the theoretical mean and standard deviation. What property is being illustrated?
The table below shows the number of hits for 25 and 50 repetitions.
Answer and Step-by-step explanation: Expected Value or Mean of a probability distribution is calculated as:
E(X) = μ = ∑xP(X)
In a game for the 2012 baseball season, expected value is:
[tex]\mu=0(0.1670)+1(0.3320)+2(0.2864)+3(0.1499)+4(0.0381)+5(0.0266)[/tex]
μ = 1.640
Standard Deviation (σ) of a probability distribution is:
[tex]\sigma=\sqrt{\Sigma (x-\mu)^{2}P(X)}[/tex]
[tex]\sigma = \sqrt{(0-1.640)^{2}(0.1670)+...+(5-1.640)^{2}(0.0266)}[/tex]
σ = 1.1883
The simulate experiment of 25 repetitions shows a table. With this table, it is possible to create a frequency table as follows:
x | f
0 | 4
1 | 7
2 | 11
3 | 2
4 | 1
With a frequency table, expected value is calculated as:
[tex]\mu=\frac{\Sigma (fx)}{\Sigma f}[/tex]
[tex]\mu=\frac{0*4+1*7+2*11+3*2+4*1}{25}[/tex]
μ = 1.56
Standard deviation, using a frequency table, is calculated as:
[tex]\sigma = \sqrt{\frac{n\Sigma (fx^{2})-(\Sigma fx)^{2}}{n(n-1)} }[/tex]
[tex]\sigma=\sqrt{\frac{25(0*4^{2}+...+4*1^{2})-(0*4+...+4*1)^{2}}{25(24)} }[/tex]
σ = 0.983
The same can be done for 50 repetitions.
The frequency table is
x | f
0 | 6
1 | 18
2 | 16
3 | 9
4 | 1
[tex]\mu=\frac{0*6+1*18+2*16+3*9+4*1}{50}[/tex]
μ = 1.62
[tex]\sigma=\sqrt{\frac{50(0*6^{2}+...+4*1^{2})-(0*6+...4*1)^{2}}{50(49)} }[/tex]
σ = 0.9775
Comparing expected values and standard deviations, observe that the bigger the repetition of the experiment, mean and standard deviation get closer to the theoretical statistical values. This is an example of the Law of Large Numbers, a theorem stating as the number of random, normally distributed values increase, their sample mean approaches the theoretical mean.
rewrite the equation in vertex form
f(x)= (3x-9)(x+1)
Answer:
Step-by-step explanation:
Y=3(x-1)^2 -12
y2 – x; use x = 7, and y = 7
Step-by-step explanation:
[tex] {7}^{2} - 7 = 49 - 7 = 42 \\ so \: required \: answer \: is \: 42[/tex]