which equation models the population (in millions), p, of austinberg t years after january 1, 2000
A rectangular bathtub is 5 1/2 feet Long, 1 1/2 feet wide, and 3 feet high. Daniel fills the tub to a depth of 2 feet. What is the volume of the water in the tub?
At what position does the ball have its maximum potential energy
A) a
B) d
C) f
D) g
Giovanni justifies whether the expression -4x-8 is equivalent to -2(x+1)-2(x+3)by letting x=3 in both expressions. What is the value of each expression when x=3
3 and -20
4 and 4
-20 and -20
3 and 4
Which of the following sets of numbers could be the lengths of the sides of a triangle? A. 81 mm, 7 mm, 6 mm B. 81 mm, 7 mm, 72 mm C. 81 mm, 7 mm, 88 mm D. 81 mm, 7 mm, 77 mm
The correct option is B. 81 mm, 7 mm, 72 mm could be the lengths of the sides of a triangle.
To determine if a set of numbers could be the lengths of the sides of a triangle, the Triangle Inequality Theorem must be satisfied. The theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Let's apply this theorem to each set of numbers:
A. 81 mm, 7 mm, 6 mm
- The sum of the two smallest sides is 81 + 6 = 87 mm, which is greater than the third side, 7 mm. However, the sum of the two smallest sides, 7 + 6 = 13 mm, is not greater than the largest side, 81 mm. Therefore, these lengths cannot form a triangle.
B. 81 mm, 7 mm, 72 mm
- The sum of the two smallest sides is 7 + 72 = 79 mm, which is greater than the third side, 81 mm. This set satisfies the Triangle Inequality Theorem.
C. 81 mm, 7 mm, 88 mm
- The sum of the two smallest sides is 81 + 7 = 88 mm, which is equal to the third side, 88 mm. According to the Triangle Inequality Theorem, the sum must be strictly greater than the third side, so these lengths cannot form a triangle.
D. 81 mm, 7 mm, 77 mm
- The sum of the two smallest sides is 7 + 77 = 84 mm, which is greater than the third side, 81 mm. However, the sum of the two smallest sides, 81 + 7 = 88 mm, is not greater than the third side, 77 mm. Therefore, these lengths cannot form a triangle.
Based on the Triangle Inequality Theorem, the only set of lengths that can form a triangle is option B: 81 mm, 7 mm, 72 mm.
The school is 625 meters far from Alex house. It took him 15 minutes to go from home to school, and run back to home in 10 minutes. What was Alex's average speed?
It is given in the question that
The school is 625 meters far from Alex house. It took him 15 minutes to go from home to school, and run back to home in 10 minutes.
Total distance is 625 meters and total time taken is
[tex] (10+15) minutes=25minutes [/tex]
Average speed is
[tex] \frac{total \ distance \ travelled}{total \ time \ taken} [/tex]
[tex] = \frac{625}{25}meter/minute = 25 meter/minute [/tex]
Answer:
25 minutes
Step-by-step explanation:
if cos a = 3/5 in the first quadrant, what does cot a equal
Final answer:
To find cot a when cos a = 3/5 in the first quadrant, we first determine the length of the opposite side using the Pythagorean theorem, which gives us 4. Subsequently, cot a is calculated as the ratio of the adjacent to the opposite side, resulting in cot a = 3/4.
Explanation:
If cos a = 3/5 in the first quadrant, we use trigonometric identities to find cot a. First, recognize that in a right triangle, the Pythagorean theorem states a² + b² = c². Given cos a = adjacent/hypotenuse = 3/5, and the fact that we are in the first quadrant (where all trigonometric values are positive), we can solve for the opposite side using the Pythagorean theorem.
Let the opposite side be b, the adjacent side (corresponding to cos a) be 3, and the hypotenuse be 5. The equation becomes b² + 3² = 5² which simplifies to b² = 25 - 9 = 16, giving b = 4.
We know that cot a = adjacent/opposite = cos a / sin a. Thus, sin a = b / hypotenuse = 4/5. Therefore, cot a = 3/4.
Alfonso went to famous Sam’s appliance store
help me pls with the answers pls, identify each pair of angles as complementary,supplementary, or neither
Perry divides up some candy to give equally to his six friends. If c represents the total amount, write the expression to represent how much candy each friend receives.
[WILL GIVE BRAINLIEST]
15 machines work at the same rate.
Together, the 15 machines can complete an order in 8 hours.
3 of the machines break down after working 6 hours. The other machines carry on working until the order is complete.
In total how many hours does each of the other machines work
A student has successfully passed 60 percent of the 20 quizzes he has written so far. If the student writes 50 quizzes during the year, and successfully passes 80 percent of the remaining quizzes, what is his percent success rate for all his quizzes for the entire year? help
Answer:
74.29%
Step-by-step explanation:
A student passed 60%, or a proportion of 0.60 of the 20 quizzes he's written so far. This means he has passed [tex]0.60*20=12[/tex] quizzes so far.
Now he has written 50 quizzes and passed 80% of them, or [tex]50*.8=40[/tex] quizzes.
To find the success rate, take the number of quizzes passed and divide by total number of quizzes.
[tex]\frac{Passed}{Total}[/tex]=[tex]\frac{12+40}{20+50}[/tex]=[tex]\frac{52}{70}[/tex]=.7429
To get a percentage, multiply this proportion by 100 to get 74.29%
A bag contains 5 red marbles, 7 white marbles, and 6 blue marbles. Find P(red or blue).
Answer:
P(red or blue) = 5/18 + 6/18 = 11/18
what is the value of B in the equation y ^ b ^ 4 equals 1 / y ^ 24
A) -20
B)-6
C)6
D)20
Step-by-step explanation:
y^b^4=1/y^24
y^b^4xy^24=1
b^4y^25=1
b^4=1/y^25
√b^4=√1/y^25
b=√1/y^25
It's B. -6
apparently i have to write at least 20 characters so,,,, sorry yall.
Numbers 37 and 39. I’m not sure how to solve them
according to the graph........
The solution is:
H(w) gets very small when w gets very large .
What is graph?In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.
Here, we have,
Considering the graph H(w),
As w gets larger, H(w) continues to approach a horizontal asymptote.
we know that,
A horizontal asymptote of a graph is a horizontal line y = b where the graph approaches the line as the inputs approach ∞ or –∞. A slant asymptote of a graph is a slanted line y = mx + b where the graph approaches the line as the inputs approach ∞ or –∞.
Hence, H(w) gets very small.
Therefore, the correct option is option D
Hence, The solution is:
H(w) gets very small when w gets very large .
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What’s $54.00 for 3 tickets in unit rate
A hamster wheel has a diameter of 8.5 in. How many inches does the hamster run in one revolution? Use 3.14 to approximate for π .
As hamster wheel is circular so for revolution we will find the circumference.
Diameter of the Hamster wheel = 8.5 in
One revolution of the wheel = circumference of the wheel
Circumference = π × d
π = 3.14 and d = 8.5
So, Circumference = 3.14 × 8.5
Circumference = 26.69 in
So in one revolution the hamster wheel travels a distance of 26.69 in
LAST QUESTION!! PLEASE HELP!
Factor completely 2x3 + 10x2 + 4x + 20.
2(x3 + 5x2 + 2x + 10)
2[(x + 5)(x2 + 2)]
(2x + 10)(x2 + 2)
(x + 5)(2x2 + 4)
Answer:
Step-by-step explanation:
Alright, lets get started.
The given expression is :
[tex]2x^3+10x^2+4x+20[/tex]
taking 2 common factor
[tex]2(x^3+5x^2+2x+10)[/tex]
[tex]2(x^3+2x+5x^2+10)[/tex]
[tex]2[(x+5)(x^2+2)][/tex]
So, the correct answer is option B : answer
Hope it will help :)
Dirk can clean a playground in 5 hours. Geralyn can clean a playground in only 4 hours. Which of the following can be used to determine the amount of time it would take for Dirk and Geralyn to clean a playground together?
HURRYYYYY PLZ
Enter the values for the highlighted variables that show how to subtract the rational expressions correctly:
A
B
C
D
E
F
G
write and solve an inequality for this situation. To honor 50 years of business, All Strikes Bowling is having an anniversary special. Shoes rent for $1.25 and each game is $0.75. If Charlie has $20 and needs shoes, how many games can he bowl?
To honor 50 years of business, All Strikes Bowling is having an anniversary special. The game he can bowl is 25.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
To honor 50 years of business, All Strikes Bowling is having an anniversary special.
Shoes rent for $1.25 and each game is $0.75. If Charlie has $20 and needs shoes.
Charlie can bowl 25 games.
= 20 - 1.25
= 18.75
So, he can bowl game
= 18.75/ 0.75
= 25 games
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Find the area of the trapezoid.
A) 18 cm2
B) 22.5 cm2
C) 27 cm2
D) 45 cm2
Answer:
27 cm2
Step-by-step explanation:
The answer is 27 cm 2 because if you use length x base x height you would get your answer. So 6 x 3 x 3 = 54 and then if you divide that by 2 you would get 27
Answer:
the answer is C), 27 cm2
Step-by-step explanation:
Anthony observes that when people are leaving class, about 50% turn left and about 50% turn right. Anthony wants to estimate the probability that fewer than 3 of the first 4 students will turn left when leaving class tomorrow. To do this, he lets H represent turning left when leaving class and T represent turning right. He then flips a coin 4 times, recording the results. He repeats this process for a total of 20 trials. HHTT THHT HTTT HTHH HHTT HTHT THTH TTHH HHHH HTTH HHHT TTHT THHH THTH HHTT HTTT HTTH HHTT HTHH HHTH Drag and drop the correct fraction to the box to estimate the probability, using this simulation. Estimated probability that fewer than 3 of the first 4 students leaving class tomorrow will turn left:
The fact that Anthony repeats the test [tex]n[/tex] times doesn't change anything, because he already know that you have a 50/50 chance of turning left of right.
Given that, Anthony observes that when people are leaving class, about 50% turn left and about 50% turn right.
What is the probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
H represent turning left when leaving class and T represent turning right,
Both of them have a 50% probability of happening and he wants to know the probability of less than 3 turn left so we want to know the probability for only one to turn left and the probability for only two.
Only one:
If you use the fact that we have a binomial distribution, then the possibility that only one turns left is:
So, [tex]P(1)=\frac{4!}{3!} \times0.5^{4[/tex]
= 4×0.0625 = 0.25
Only two with the same reasoning.
[tex]P(2) = \frac{4!}{(2!\times2!)} \times0.0625=6\times0.0625 = 0.375[/tex]
Here you can see that the probability is bigger because here are mass combinations that in the previous case.
So the total probability is 0.25 + 0.375 = 0.625.
The fact that he repeats the test [tex]n[/tex] times doesn't change nothing, because he already know that you have a 50/50 chance of turning left of right.
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Kevin had 6 nickles and 4 dimes in his pocket. If he took out one count and then a second coin without replacing the first coin-
what is the probability that both coins were nickels?
what is the probability that both coins were dimes?
what is the probability that the first coin was a nickel and the second a dime?
In this detailed answer, the probabilities of drawing two coins from Kevin's pocket - with 6 nickels and 4 dimes - are explained. The probabilities of both coins being nickels and dimes are 0 due to the lack of replacement, while the probability of one nickel and one dime is 4/15.
To calculate the probabilities of drawing coins from Kevin's pocket, where he has 6 nickels and 4 dimes:
Probability both coins are nickels: Since each draw affects the remaining number of nickels and dimes, the probability is 0.
Probability both coins are dimes: Similarly, as the draws are not independent, the probability here is also 0.
Probability of one nickel and one dime: Since Kevin has 6 nickels and 4 dimes, the probability of drawing a nickel first is 6/10 (6 nickels out of 10 coins) and drawing a dime second is 4/9 (4 dimes remaining out of 9 coins), which equals 24/90 or 4/15.
there are 50 instruments in lincoln middle orchesha if 1/2 of the instruments are strings. how many strings are in lincoln orchestra
Jennifer works in a flower shop on Saturday she started work at 8:45 a.m. she spent 3/4 hours at lunch she finished at 4:15 p.m. how many hours did she work on Saturday?
The function f(x) = 68(1.3)x represents the possible squirrel population in a park x years from now. Each year, the expected number of squirrels is ____ the number the year before. A. 3 times B. 1.3 times C. 3 more than D. 0.3 times
What is the decimal equivalent of the fraction?
4/30
A) 0.13⎯⎯⎯⎯
B) 0.13
C) 0.1⎯⎯3
D) 0.13⎯⎯
Answer:
Option A [tex]\frac{4}{30}=0.13333...=0.1\bar3[/tex]
Step-by-step explanation:
Given : Expression [tex]\frac{4}{30}[/tex]
To find : What is the decimal equivalent of the fraction?
Solution :
Step 1 - Write the fraction
[tex]\frac{4}{30}[/tex]
Step 2 - Divide the numerator by denominator,
[tex]\frac{4}{30}=0.13333...[/tex]
or [tex]\frac{4}{30}=0.13333...=0.1\bar3[/tex]
Therefore, Option A is correct.