Answer:
Please Mark as Brainliest!!!!!!
Step-by-step explanation
In an auditorium, there are 21 seats in the first row and 29 seats in the second row. The number of seats in a row continues to increase by 8 with each additional row. How would you find the 100th row?
We can take this as an arithmetic sequence, as the seats in next row is calculated by adding 8 to previous row
So here common difference will be 8
the first term is 21
the arithmetic sequence is given by:
Putting the values of a1 and d
for 100th row,
Putting n=100
3. The sequence 6, 18, 54, 162, … shows the number of pushups Kendall did each week, starting with her first week of exercising.
Give the rule you would use to find the 20th week.
Given sequence is:
6, 18, 54, 162, …
we can see that the common difference is not same so we will find the common ratio
The given sequence is a geometric sequence as are the same for consecutive terms
The geometric sequence is given by:
Hence,
2. Seats in 100th Row = 813
3. Rule is:
Keywords: Sequence, ratio
Answer:
see explanation
Step-by-step explanation:
The sequence is
22, 28, 34, ....
Since there is a common difference of 6 the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
a₁ is the first term and d the common difference
Here a₁ = 22 and d = 6, then
[tex]a_{n}[/tex] = 22 + 6(n - 1) = 22 + 6n - 6 = 6n + 16
Equate to 100 and solve for n
6n + 16 = 100 ( subtract 16 from both sides )
6n = 84 ( divide both sides by 6 )
n = 14
Thus the 14 th row has 100 seats
Question in picture below will give brainly
Answer:
only student ll (2)
Step-by-step explanation:
Farmer Bob wants to build a rectangular pigpen with side lengths of 3x2+4x-1 ft and 2x2-5x+9 ft. How much fencing will he need to
O A 5x2-x+8 ft
OB. 10x2+18x+16 ft
O C. 10x2-2x+16 ft
OD. 5x2+9x+8 ft
Answer:
b
Step-by-step explanation:
A how air ballon roses 474 feet. It then descends 130 feet. Find the elevation of the ballon is it started at sea levels.
Answer:
344 feet
Step-by-step explanation:
474-130=344
Which of the following is a solution of x^2 -10x = -36?
-5 - i √10
5 + i √61
-5 - i √11
5 + i √11
The points (5,-2) and (9, r) lie on a line with slope 3/2. Find the missing coordinate r.
A baseball player batted 544 times in a season, with a batting average of 0.294. Using the formula below, find the number of hits he made.
The batting average formula is a=h/n where a is the batting average, h is the number of hits, and n is the number of times at bat.
Answer:
Calculate Batting Average
Calculating a baseball player's batting average is not a difficult task at all. A batting average represents the percentage of at bats that result in hits for a particular baseball player. The formula is:
Hits / At Bats = Batting Avg.
That's all there is to it. For example, if Justin Upton gets 155 hits in a season and has 554 at bats, his batting average would be 155/554, or .280. The batting average is usually represented not as a percentage (i.e. 28.0%), but instead as a decimal number with three places after the decimal. A batting average of 1.000 means that the player gets a hit every time he comes to bat, and an average of .000 means the player has no hits.
It should also be noted that not every time a batter comes to the plate counts as an at bat. Plate appearances that do not count as at bats include walks, hit-by-pitches, sacrifices, etc.
Here's one last example: Albert Pujols gets 35 hits in 113 at bats in May, so his batting average would be calculated as 35 divided by 113, which is .310 for the month of May.
Step-by-step explanation:
Answer:
160
Step-by-step explanation:
The previous answer response to this question was too long and complicated. Just follow the things you know from the question and use the formula.
a=h/n, a is the batting average, h is the number of hits, and n is the number of times at bat. Use substitution to make your formula now look like this:
0.294 = h/544.
Now you have to get h by itself. To do that, you do the opposite of division: multiply. What you do to one side, you do to the other.
544(0.294 = h/544)544 ⇒ h = 544 x 0.294.
Your result should be 159.936; round to the nearest whole number ⇒ 160.
The graph of an equation shown below: based on the graph, which of the following represents the solution to the equation? (-2, -3) (2, 1) (1, 2) (-3, -2)
If the imput is -8 then what is the output of y=3x+7
Answer:
output is -17
Step-by-step explanation:
x is input, y is output. You do y = -24 + 7
then y = -17
A prom ticket at Smith high school is $120 time is going to save money for the ticket by walking his neighbors dog for $15 per week.Tom has already saved $15 write an in equality that represents the situation.
Answer:
120 = 15x + 15
Step-by-step explanation:
what you have to do is find the amount of weeks needed to walk the dog until you get around 120. so if two weeks is equal too 30 dollars you can multiply it by that amount. 30 = 2.So 30 times what = 120 or 15 times what = 120. also dont forget that tom has saved thirty dollars in advance
Please help me solve this question will give you braisnlt !
Answer:
[tex]s = 54m +160[/tex]
Step-by-step explanation:
Given: The attachment
Required: Determine the equation
We start by picking any two equivalent points on the table:
[tex](m_1,s_1) = (2,268)[/tex]
[tex](m_2,s_2) = (4,376)[/tex]
Next, we determine the slope, M:
[tex]M = \frac{s_2 - s_1}{m_2 - m_1}[/tex]
[tex]M = \frac{376 - 268}{4-2}[/tex]
[tex]M = \frac{108}{2}[/tex]
[tex]M = 54[/tex]
The equation is then calculated as:
[tex]s - s_1 = M(m - m_1)[/tex]
Where:
[tex]M = 54[/tex]
[tex](m_1,s_1) = (2,268)[/tex]
So, we have:
[tex]s - 268 = 54(m - 2)[/tex]
Open bracket
[tex]s - 268 = 54m - 108[/tex]
Collect like terms
[tex]s = 54m - 108 + 268[/tex]
[tex]s = 54m +160[/tex]
Hence, the equation is: [tex]s = 54m +160[/tex]
Suppose that Gx=f(x+11). Which statement correctly describes the graph? please hurry!
Given:
[tex]g(x)=f(x+11)[/tex]
To find:
The correct statement for the given transformation.
Solution:
The translation is defined as
[tex]g(x)=f(x+a)+b[/tex] .... (1)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
We have,
[tex]g(x)=f(x+11)[/tex] ... (2)
On comparing (1) and (2), we get
[tex]a=11>0[/tex]
So, the graph of f(x) translated 11 units to the left.
Therefore, the correct option is A.
if x =20 and y =40 then x and y are
Answer:
Are directly proportional
Drag the item from them item bank to its corresponding match
Will mark brainless
Answers, in order:
1. Acute
2. Congruent
3. Supplementary angles
4. Vertical angles
5. Adjacent angles
6. Adjacent supplementary angles
7. Alternate interior angles
8. Alternate exterior angles
9. Consecutive interior angles
10. Corresponding angles
11. Straight angle
PLEASE HELP
A faucet dripped 14 cup of water in 112 hours. What is the rate in cups per hour?
Answer:
8 cups per hour
Step-by-step explanation:
We already have both values, the total sum of hours and the total amount of cups the faucet dripped. We would divide the hours by the cups of water to get an answer of 12. You can also double check this when doing one of these problems on your own, by multiplying your answer by the divisor. (14) 14 times 8 is 112, so we know our answer is correct.
Hope that helps :D
The rate in cups per hour is 8 cups per hour if a faucet dripped 14 cup of water in 112 hours.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
A faucet dripped 14 cup of water in 112 hours.
The total sum of hours and the total amount of cups the faucet dripped.
The rate in cups per hour = 112/14
The rate in cups per hour = 8
Thus, the rate in cups per hour is 8 cups per hour if a faucet dripped 14 cup of water in 112 hours.
Learn more about the fraction here:
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Steel is an alloy of iron and carbon (98% iron, 2% carbon). Stainless steel is steel and chromium, (90% steel, 10% carbon). What amount of iron, carbon, and chromium are needed for 500 kg of stainless steel?
500 kg x 90% = 500x 0.9 = 450 kg of Steel is needed.
450 kg x 98% = 450 x 0.98 = 441 kg of iron needed.
450 x 0.02 = 9 kg of carbon is needed for the steel.
50 kg of chromium is needed.
Chromium is 10% carbon, 50x 0.1 = 5 kg of carbon is needed for the chromium.
Total iron = 441 kg
Total carbon = 9 + 5 = 14 kg
Total chromium = 50 kg
PLEASE HELP I GIVE BRAINLIEST
Answer:
y = 11
Step-by-step explanation:
Perimeter = 6 + 5y + y + 2 + 4y + 3
= 10y + 11
10y + 11 = 121
10y = 121 - 11
= 110
y = 110 ÷ 10
y = 11
Julie Myrick has a credit card that has an APR of 15%, applied at a daily
periodic rate to the previous balance. Her previous balance is $567,31. She made
new purchases totaling S128.92, and a payment-of $125 in the month of June.
What is her new balance?
Answer. 332.78
Step-by-step explanation:
I subtracted and as awesome its right trust me.
geometry unit 4 congruent triangles
Answer:
okay?
Step-by-step explanation:
The four congruent triangles are by SAS, AAA, ASA and RHS.
What is congruency?We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.
The four congruent triangles are,
They can be congruent by side angle and side.
They can be congruent by angle, angle and angle.
They can be congruent by angle side angle.
They can be congruent by one of the legs and the hypotenuse of a
right-angle triangle.
learn more about congruency here :
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A candle burned at a steady rate. After 40 minutes, the candle was 12.5 inches. After 70 minutes, the candle was 11.75 inches. Use an equation in point-slope form to determine the height of the candle after 2 hours.
Answer: 8.75 is the correct answer
Step-by-step explanation:
I'm big brain.
Can someone help with this please? I think it has to do with the Pythagorean theorem.
Answer:
2 sqrt(13)
Step-by-step explanation:
We can use the Pythagorean theorem
The x value between A and B is 4 units and the y value is 6 units
The distance is
d = sqrt( x^2 + y^2)
= sqrt( 4^2 + 6^2)
= sqrt( 16+36)
= sqrt(52)
= sqrt(4*13)
= 2 sqrt(13)
What is the actual slope of a line with the points (-4, 9) and (3, -5)?
Answer:
slope=∆y/∆x=9+5/-4-3=14/-7=-2
Answer:
-2
Step-by-step explanation:
slope equation: (y2-y1)/(x2-x1)
lets use (-4, 9) as x1 and y1 and (3, -5) as x2 and y2
when plugged into the equation we get (9+5)/(-4-3) which ultimately equals -2.
Which of these tables represents a function?
Answer:
W
Step-by-step explanation:
The table that will represent a function is the table where every x-value (domain) has exactly one y-value (range).
Table W represents a function because each x-value has exactly only one y-value.
The other tables have two y-values assigned to a one x-value.
Answer:
W
Step-by-step explanation:
Determine the future amount if ₱150,000 is deposited in a fund for 5 years at 2.5% compounded annually
Answer:
169,711.23₱
Step-by-step explanation:
compound intrest formula
p(1+r/100)^n
150,000(1+2.5/100)^5
=169,711.23₱
HEYYYYYYYYYYY YALLLLLLLLLLLLLLLL ADDDDDDDDD MEHHHHHHHHHHHHHHHHH
Answer:
I think the answer is D
Step-by-step explanation:
ABCD is a square.
Solve for x
x + 5y = 8
3x = 24 - 157
Answer:
1) x+5y=8 (that’s a basically simplified already)
2) -44 1/3
Step-by-step explanation:
1) Since its in it’s most simplified form, leave it like that.
2) Solve it, combine like terms, and then just divide 3 on both sides to isolate variable
Harley bought a one year $1000 treasury bond. He paid $950 for the treasury bond. What is his rate of return? Round to one decimal, such as: 6.7%.
0.053%
53%
5.3%
5%
Answer: 5.3%
Step-by-step explanation:
The formula to compute rate of return is given by :-
Rate of return = [tex]\dfrac{\text{Selling price - investing price }}{\text{ investing price}}\times100[/tex]
[tex]=\dfrac{1000-950}{950}\times100\%\\\\=\dfrac{50}{950}\times100\%\\\\=\dfrac{100}{19}\%\\= 5.3\%[/tex]
Hence, his rate of return = 5.3%
The ratio of the angle measures of the triangle are 3:1:5.if the longest side of the triangle is 15ft .the shortest side of the triangle is?
Answer:
3ft
Step-by-step explanation:
get the ratio of longest side which is 5over9 is equal to 15 what about 1 over 9 then u equate n get 3
Answer:
≈ 5.2 ft
Step-by-step explanation:
sum the parts of the ratio, 3 + 1 + 5 = 9 parts
Divide the angle sum of a triangle by 9 to find the value of one part of the ratio.
180° ÷ 9 = 20° ← value of 1 part of the ratio, then
3 parts = 3 × 20° = 60°
5 parts = 5 × 20° = 100°
The angles of the triangle are 100°, 60° and 20°
The longest side is opposite the largest angle in the triangle
The shortest side is opposite the smallest angle in the triangle.
Thus
the longest side is opposite 100°
the shortest side is opposite 20°
let x represent the shortest side and using the Sine rule
[tex]\frac{x}{sin20}[/tex] = [tex]\frac{15}{sin100}[/tex] ( cross- multiply )
x × sin100° = 15sin20° ( divide both sides by sin100° )
x = [tex]\frac{15sin20}{sin100}[/tex] ≈ 5.2 ( to the nearest tenth )
Thus the shortest side is ≈ 5.2 ft
Three less than half of a number is - 1. Find the number.
Answer:
x = 4
Step-by-step explanation:
Three less than half of a number is -1
The Half Of A Number means the number can be anything, so we can use "x." However, it is half so it would become: 1/2x.
Three less than means it is minus three, therefore becomes: 1/2x-3
However, three less than half of a number is (or in other words is equal too) -1, so the overall equation is
1/2x - 3 = -1
first, add three on both sides to get:
1/2x = 2
multiply two on both sides to get:
x = 4
Find the percent of decrease from 6 to 5.
Answer:
Use this
Step-by-step explanation: