A playground has two poles that are used for games. The first pole is 1.83 m tall. The second pole is 2.172 m tall.
How much taller is the second pole than the first pole?
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pls help, will matrk brainliest
Answer:
mark me brainliest plz im a beginner and the answer is .342 becuase the m ok lo, xd
Step-by-step explanation:
If z = f(x, y), where f is differentiable, and x = g(t) y = h(t) g(1) = 4 h(1) = 7 g' (1) = 5 h' (1) = −3 fx(4, 7) = 4 fy(4, 7) = 7 find dz/dt when t = 1.
The derivative of z with respect to t (dz/dt) when t=1 is -1 using the chain rule for multivariable functions.
Explanation:This problem uses the chain rule for multivariable functions. Given that z = f(x, y) where x = g(t) and y = h(t), to find dz/dt when t = 1, we apply the chain rule as follows: dz/dt=∂f/∂x *(dx/dt)+ ∂f/∂y * (dy/dt). Here, we have x=g(t), y=h(t), ∂f/∂x = fx(4, 7) = 4, ∂f/∂y = fy(4, 7) = 7, dx/dt = g'(1) = 5, and dy/dt = h'(1) = -3.
Substituting these values in: dz/dt = 4 * 5 + 7 * (-3) = 20 - 21 = -1. Therefore, dz/dt = -1 when t = 1.
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how many tenths are in 4/5
About 50 years ago,the Yankees' Mickey Mantle was one of baseball's great sluggers.He is credited with hitting the longest homerun ever.It traveled a distance of 643 feet.How many kilometers did the ball travel,rounded to the nearest hundredth?
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Andrew make six dollars an hour +9 dollars an hour for every hour of overtime overtime hours or any hours more than 40 hours for the week create an equation that shows amount of wages earned for working x hours no overtime
Lim x → 2 (x3 − 3x + 3) = 5 illustrate the definition by finding the largest possible values of δ that correspond to ε = 0.2 and ε = 0.1
Ajax buys 20 shares of stock at 20$ per share. The shares increase in value by 20%. He then sells 10 shares. After the shares decrease in value by 10%, he buys another 20 shares. The shares then all increase by 50%. Determine the total dollar value of the 30 shares that Ajax now owns.
Answer:
$972
Step-by-step explanation:
Ajax buys 20 shares of stock at $20.
The cost of 20 shares = 20 × $20 = $400
The shares increase in value by 20%
Now the cost of 20 shares = 400 + (20%×400)
= 400 + 80
= $480
Cost per share = [tex]\frac{480}{20}[/tex] = $24
He sells 10 shares = $20 × 10 = $240
Now he has 10 share costs $240
After the shares decrease in value by 10%, he buys another 20 shares.
Cost per shares after decrease by 10% = 24 - (10%×24)
= 24 - 2.40
= $21.60
He buys 20 shares and his remaining 10 shares = 20 + 10 = 30 shares
Cost of 30 shares = 21.60 × 30 = $648
The shares then all increase by 50% = 648 + (50% × 648)
= 648 + (0.5 × 648)
= 648 + 324
= $972
The total value of the 30 shares that Ajax own is $972
The heights of a group of 5 people are measured. Four of the people have the following heights: 64 inches, 67 inches, 72 inches, and 65 inches. If the average height of the group is 66 inches, how tall is the fifth person?
look at the triangle what is the value of tan x?
What is the answer to this question ?
Erving Spencer makes a salary of $24,000 per year and he is paid biweekly. If his employer puts 6.5% into his pension, how much goes into the pension every paycheck? $15.60 $60 $65 $156
Erving Spencer contributes $60 to his pension every paycheck, with a biweekly pay schedule on a $24,000 yearly salary. Regarding the retirement funds, after 30 years, Alexx would have more money than Spenser because Alexx's investment grows at an unimpeded 5% annually, while Spenser's grows at 4.75% annually after fees.
Explanation:Firstly, let's address the question about Erving Spencer's pension contributions per paycheck. Erving Spencer makes $24,000 a year and is paid biweekly, which means there are 26 paychecks in a year. To calculate how much goes into the pension every paycheck, we apply the percentage of the pension contribution to each paycheck:
Annual salary: $24,000Contributions per paycheck: ($24,000 / 26) * 6.5%Now, let's perform the calculations:
Contribution per paycheck = ($24,000 / 26) * 0.065
= $923.08 * 0.065
= $60
Therefore, $60 goes into Erving Spencer's pension every paycheck.
Now, for the question about the retirement fund's administrative fee:
Alexx and Spenser each invest $5,000 in the same stock. Alexx's investment grows by 5% annually without any fees, while Spenser's grows by 4.75% annually after a 0.25% fee. After 30 years:
Alexx's investment: $5,000 * (1 + 0.05)^30Spenser's investment: $5,000 * (1 + 0.0475)^30We can calculate the final amounts and then find the difference between them, which would be how much more Alexx has than Spenser after 30 years.
If 21–(a–b)=2(b+9), and a=8, what is the value of b?
A greeting card company can sell cards for $2.75 each, so the revenue can be calculated using the formula 2.75 Rx . The company’s total cost consists of a fixed overhead of $12,000 plus 35 cents per card, so the total cost can be calculated using the formula 0.35 12000 Cx .
a. Write the algebraic equation needed to determine when the company will break even (when the revenue will equal the cost).
b. Solve the equation from part a.
c. Write the algebraic inequality needed to indicate that the revenue is greater than the cost.
d. Solve the inequality from part c.
e. What does your answer from part d tell you about when the company will make a profit?
Is -2x+3y=6 parallel, perpendicular, or the same line as 2x-3y=9?
The probability of a basketball player's making a free throw successfully at any time in a game is 1/2. if the player attempts ten free throws in a game, what is the probability that exactly six are made?
If three times the smaller of two consecutive integers is added to four times the larger, the result is 67. Find the smaller integer.
The smaller of two consecutive integers is 9.
What are consecutive integers?Numbers that follow each other continuously in the order from smallest to largest are called consecutive numbers.
For example: 1, 2, 3, 4, 5, 6, and so on are consecutive numbers.
Given that, three times the smaller of two consecutive integers is added to four times the larger, the result is 67, we need to find the smaller integer,
Let the two consecutive integers be, x and x+1,
Establishing the equation according to the question,
3x + 4(x + 1) = 67
7x + 4 = 67
7x = 67-4 = 63
x = 9
Hence, the asked smaller integer is 9.
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A trampoline cost $220 and the sales tax is 6.25% what is the total cost of the trampoline
Answer:
$233.75Step-by-step explanation:
If <0 <90 and cos0=11/15 what is the value of sin (90-0)
Three weeks ago John bought stock at 49 ¼; today the stock is valued at 49 7/8. We could say the stock is performing at which of the following? A. Above par B. Par equality C. On par D. Below par
53 freshman were interviewed about the classes they were taking this semester 24 said they were taking science 22 said they were taking math 17 said they were taking English 7 said they were taking both science and math 10 said they were taking both math and English 4 said they were taking both math and English 2 said they were taking all three classes
The questions are:
How many students are not taking any science, math, or English? ANDThis is best answered using a Venn diagram. If you look at the separate areas, you see there are 7 areas.
The common area is the two students who takes the three classes.
4 said they were taking both math and English
4 – 2 = 2 only take math & English
7 said they were taking both science and math
7 – 2 = 5 only take math and science
10 said they were taking both science and English
10 – 2 = 8 only take science and English
17 said they were taking English
17 – (2 + 8 + 2) = 5 take only English
22 said they were taking math
22 – (2 + 5 + 2) = 13 take math
24 said they were taking science
24 – (2 + 8 + 5) = 9 only take science
Adding them all up:
2 + 9 + 13 + 5 + 8 + 5 + 2 = 44
So, 44 students are taking the 3 courses
53 – 44 = 9 students are not taking any of the 3 courses
5 + 13 + 9 = 27 take only 1 of these courses
A stone is thrown straight up from the edge of a roof, 675 feet above the ground, at a speed of 16 feet per second. A. Remembering that the acceleration due to gravity is -32 feet per second squared, how high is the stone 3 seconds later?
Final answer:
The stone would be 579 feet high after 3 seconds.
Explanation:
To calculate the height of the stone 3 seconds later, we can use the kinematic equation for position:
h = h0 + (v0 · t) + ((1/2) · a · t2)
where:
h is the final height
h0 = 675 feet is the initial height
v0 = 16 ft/s is the initial velocity
t = 3 seconds is the time
a = -32 ft/s2 is the acceleration due to gravity
Let's plug in the values and calculate:
h = 675 + (16 · 3) + ((1/2) · (-32) · 32)
Solving this equation, we get:
h = 675 + 48 - 144
h = 579 feet
the diameter of a sphere us 4 centimeters. which represents the volume of the sphere
Nick has $7.00. Bagels cost $0.75 each, and a small container of cream cheese costs $1.29. Write an inequality to find the numbers of bagels Nick can buy.
let x = bagels
0.75x +1.29 <= 7.00
solve:
0.75x +1.29<=7.00
0.75x <= 7.00 - 1.29
0.75x <=5.71
5.71 /0.75 = 7.6
x<=7 bagels
whats the slope of (-3,-2) and (5,4)
what is 1/6 divided by 4/7 then that answer simplified
The value of the equation after the division and simplification is A = 7/24 or A = 0.291667
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the first fraction be p = 1/6
Let the second fraction be q = 4/7
Now , the equation is A = p/q
On dividing the terms p and q , we get
Substituting the values in the equation , we get
A = ( 1/6 ) / ( 4/7 )
On simplifying the equation , we get
A = ( 1/6 ) x ( 7/4 )
A = 7/24
So , the value of A after division is
Now , on further simplification , we get
A = 0.291667
Hence , the equation after simplification is A = 0.291667
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which of the following is equal to (2x/5-9 )+9
a.2x/5
b.5x/2
c.2x-45/5
d. (2x-9)+45
From 2003 onward, the number of daily visitors to a website increased by 200% every two years. So, for example, the number of visitors in 2011 was 200% more than the number of visitors in 2009.
In what year was the number of daily visitors 800% more than the number of daily visitors in 2003?
Marks brothers is paying a dividend of 56.25 on each share how much will PRH receive in dividends
To calculate the total dividend PRH will receive, multiply the dividend per share by the number of shares PRH owns.
Explanation:To calculate how much PRH will receive in dividends, we need to know the number of shares PRH owns. Let's assume PRH owns X number of shares. We can multiply the dividend of $56.25 per share by the number of shares to find the total dividend PRH will receive.
Total Dividend = $56.25 x X
For example, if PRH owns 100 shares, the total dividend will be $56.25 x 100 = $5625.
Without knowing the number of shares PRH owns, we cannot calculate the total dividend payment. With the number of shares, multiply by the dividend per share ($56.25) to get the total dividends. For present value calculations, divide the PDV of profits by the number of shares to get the price per share.
Explanation:To determine how much PRH will receive in dividends from Marks Brothers, a specific number of shares owned by PRH would be needed. Without this information, we cannot calculate the exact dividend payment to PRH. However, if we had the number of shares, we would multiply that number by the dividend per share, which is $56.25, to find the total dividend payment PRH would receive.
For example, if PRH owns 10 shares, the calculation would be 10 shares × $56.25 per share = $562.50 in total dividends. To understand the calculations surrounding the present value or PDV, consider that a different PDV calculation needs to be done for amounts received at different times. Once the PDV of total profits is calculated, it can be divided by the number of shares to find the price per share. Using the provided example with a total PDV of profits being $51.3 million and 200 shares, the calculation would be $51.3 million / 200 = 0.2565 million or $256,500 per share.
Note that in the real world, expected profits are estimates rather than exact figures, and determining an accurate interest rate is part of that estimation process.
You have just arranged for a $1,640,000 mortgage to finance the purchase of a large tract of land. the mortgage has an apr of 6.4 percent, and it calls for monthly payments over the next 30 years. however, the loan has an eight-year balloon payment, meaning that the loan must be paid off then. how big will the balloon payment be?
The balloon payment is approximately $1,084,898.37.
To calculate the balloon payment, we first need to determine the remaining balance of the mortgage after the initial 22 years of payments (30 years total - 8 years).
Step 1: Calculate the monthly interest rate.
Monthly interest rate = Annual interest rate / 12
Monthly interest rate = 6.4% / 12 = 0.00533
Step 2: Calculate the number of payments made in 22 years.
Number of payments = 22 years * 12 months/year = 264 payments
Step 3: Use the formula for the remaining balance of a mortgage.
Remaining balance = [tex]P * [(1 + r)^n - (1 + r)^t] / [(1 + r)^n - 1][/tex]
Where:
P = principal amount of the loan
r = monthly interest rate
n = total number of payments
t = number of payments already made
Substitute the given values into the formula:
Remaining balance = $1,640,000 * [(1 + 0.00533)^360 - (1 + 0.00533)^264] / [(1 + 0.00533)^360 - 1]
Remaining balance = $1,084,898.37
The balloon payment is the remaining balance after 22 years. Therefore, the balloon payment is approximately $1,084,898.37.
A guidance counselor has 2 3/6 hours to meet with students. If she meets with each student for 1/6 hour how many students can she see