a step on a stairway is at least 8 inches high. Write and solve an inequality to represent the minimum number of steps between floors that are 10 feet apart
Answer:
If a step is "at least" 8 inches high, the minimum number of steps is theoretically 1, because that 1 step could be a 10-foot high step.
Step-by-step explanation:
32 15' 66" is the same as _____. Round to the nearest hundredth of a degree. Answer:
Answer:
32.27
Step-by-step explanation:
Shryia read a 480 page long book cover to cover in a single session, at a constant rate. After reading for 1.5 hours, she had 402 pages left to read. Let P(t) denote the number of pages to read P as a function of time t (measured in hours). Write the function's formula.
The correct answer is P(t)=-52t+480. Hope this helped.
The function representing the number of pages Shryia has left to read at a given time is P(t) = 480 - 52t, considering she reads at a constant rate of 52 pages per hour.
Explanation:Shryia read a 480-page book in one session at a constant rate. Since P(t) represents the number of pages she has left to read at time t, after 1.5 hours, she had 402 pages left. To find the rate at which she reads, we can see that in 1.5 hours, she read 480 - 402 = 78 pages. Thus, her reading rate is 78 pages per 1.5 hours, or 52 pages per hour.
At time t=0, the book is completely unread, meaning P(0) = 480 pages. Her reading rate is constant, so the function is linear: for every hour that passes, 52 more pages are read. Therefore, the number of pages left, P(t), decreases by 52 for each hour. The function P(t) can then be defined as:
P(t) = 480 - 52t
Experts/ace/geniuses helpp
5 quarts =how many fluid ounces
(a) A convex, 11-sided polygon can have at most how many obtuse interior angles? (b) A convex, 11-sided polygon can have at most how many acute interior angles?
Please provide an explanation!
Determing wheter two ratios form a proportion
Penélope bakes pretzels. She salts 3/8 of the pretzels. Write a fraction that is equivalent to 3/8.
At a movie, 1/4 of the people in the theater were men, 5/8 were woman l, and the rest were children. If there were 100 more woman than children, what was the total number of people in the theater.
I don’t really get it please help me out!
Find the derivative of y with respect to x. y= ((lnx)/(2+lnx))
find the values of x that satisfy
what is the common ratio of the geometric sequence below? -96,48, -24, 12, -6,..
The common ratio of the given geometric sequence is [tex]-\frac{1}{2}[/tex], as each term is half the value and opposite in sign of the previous term.
The common ratio of a geometric sequence can be found by dividing any term by the previous term. In the given sequence, -96, 48, -24, 12, -6,..., let's divide the second term by the first term:
Common ratio (r) = [tex]\frac{48 }{-96} = -\frac{1}{2}[/tex]
This ratio will be consistent throughout the sequence. For example, dividing the third term by the second term also gives [tex]-\frac{24 }{ 48} = -\frac{1}{2}[/tex], confirming that the common ratio is indeed [tex]-\frac{1}{2}[/tex].
which number is irrational? A.0.7 repeating B. √3 C. 4/3 D. 3.14
solve on the interval (0,pi)
1+cosθ=((sqrt3)+2)/2
How many square feet of outdoor carpet will we need for this hole?
Q.8 What is the tail length?
The tail length of an alligator with a body length of 3.6 feet is approximately 3.2 feet.
The problem states that the alligator's tail length, [tex]\(T\)[/tex], varies directly with its body length, [tex]\(B\)[/tex]. When two quantities vary directly, we can express this relationship using a proportionality constant, often denoted as [tex]\(k\)[/tex]. In this case, we have:
[tex]\(\frac{T_1}{B_1} = \frac{T_2}{B_2}\),[/tex]
where [tex]\(T_1\) and \(B_1\)[/tex] are the initial tail length and body length, and [tex]\(T_2\) and \(B_2\)[/tex] are the final tail length and body length.
Given that an alligator with a body length of 5.4 feet has a tail length of 4.8 feet, we can use this information to find [tex]\(k\):[/tex]
[tex]\(\frac{4.8}{5.4} = \frac{T_2}{3.6}\).[/tex]
Now, solve for [tex]\(T_2\):[/tex]
[tex]\(T_2 = \frac{4.8}{5.4} \times 3.6\).[/tex]
[tex]\(T_2 \approx 3.2\) feet.[/tex]
So, the tail length of an alligator with a body length of 3.6 feet is approximately 3.2 feet.
The tail length is 3.2 feet. This result confirms the direct variation between tail length and body length, where [tex]\(T\)[/tex] is proportional to [tex]\(B\)[/tex] with a proportionality constant of approximately 0.8889 (4.8/5.4).
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Yolanda closed on a 20 year home loan for $83,000. she chooses to buy only 1 point at closing. by buying a point at her closing, yolanda reduced her monthly payment by $7.63. based on the fact that yolanda chose to buy a point at closing, what would you infer is the minimum amount of time that she will own the home? A) 6 Years B) 11 Years C) 16 Years D) 20 Years
Minimum amount of time that Yolanda will own the home is for at least 11 years
What is Division?A division is a process of splitting a specific amount into equal parts.
To calculate the minimum amount of time that Yolanda will own the home
We need to determine how long it will take for the monthly savings to equal the cost of the point.
One point is equal to 1% of the loan amount, so Yolanda paid $830 (1% of $83,000) at closing for the point.
To find out how many months it will take for the monthly savings to equal the cost of the point, we divide the cost of the point by the monthly savings:
$830 ÷ $7.63 = 108.77 months
Since there are 12 months in a year, 108.77 months is 11 years.
Therefore, we can infer that Yolanda will own the home for at least 11 years
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Please Help!!
In 1802. Albert Mathieu Favier imagined building a tunnel for horse drawn carriages underneath the English Channel. If the tunnel was 32 miles long and the carriage traveled 12 miles per hour, how long would it take to travel the length of the tunnel?
A. 2 hours and 40 minutes
B. 2 hours and 10 minutes
C. 3 hours and 10 minutes
D. 3 hours and 7 minutes
Suppose a shipment of 140 electronic components contains 3 defective components. to determine whether the shipment should be accepted, a quality-control engineer randomly selects 3 of the components and tests them. if 1 or more of the components is defective, the shipment is rejected. what is the probability that the shipment is rejected?
To find the probability that a shipment of 140 electronic components, with 3 defects, is rejected upon testing 3 components, calculate the complement (all non-defective) and subtract from 1.
Explanation:The question involves determining the probability that a shipment containing 140 electronic components, with 3 being defective, is rejected based on a quality-control test of 3 components. To solve, consider the complementary probability - the chance all selected components are non-defective. First, calculate the probability of picking 3 non-defective components: (137/140) * (136/139) * (135/138). Then, subtract this probability from 1 to find the probability of the shipment being rejected.
1 - [(137/140) * (136/139) * (135/138)] equals the probability the shipment is rejected. After performing the calculations, you find that the shipment's rejection probability is determined by the presence of at least one defective component in the tested sample.
Shondra found large candles on sale at her favorite store. She has a large family and many friends, so she bought as many of the candles she could fit in her trunk to give as gifts. Her trunk is 2 feet deep, 4 feet wide, and 3 feet long. If each candle comes in a cube box with 1 foot edges, how many candles will fit in her trunk?
Melissa had 56 pens and 37 pencils thanks. How many pencils did Melissa have?
The point (5, -2) is rotated 90° about the origin. Its image is
a.(-2, 5)
b.(2, 5)
c.(-5, 2)
the sum of two numbera is 122. the second number is 18 less than three times the first number. find the numbers. help please!
A computer screen consists of small rectangular dots called pixels. Find the number of pixels on a screen that has 600 rows with 700 pixels in each row. PLEASE HELP.
Rebekah wants to read a certain number of pages each day during summer vacation. Today she reads 204 pages, which is 136% of her goal. How many pages does Rebekah want to read each day?
2x+1=3(x+1)-x-2 solve for x
A basketball player gets 2 free-throw shots when she is fouled by a player on the opposing team. She misses the first shot 40% of the time. When she misses the first shot, she misses the second shot 5% of the time. What is the probability of missing both free-throw shots?
if the triangle PQR sin(P)=0.2,sin(R=)0.4 and r=22 what is length of p
Answer:
Thank you
Step-by-step explanation:
Carter has 60 balloons. 4/12 of the balloons are black, and 3/12 of the balloons are white. The rest of the balloons are red. Which series of calculations shows how many red balloons Carter has?
Answer: 25, mark brainlist
Step-by-step explanation: