In circle H, HJ¯¯¯¯¯ is a radius and JK¯¯¯¯¯ is a tangent segment. Which statement must be true?
A) HJ=JK
B) ∠HJK is an obtuse angle.
C) HJ=HK
D) ∠HJK is a right angle.
A bus covered the 400-km distance between points a and b at a certain speed. on the way back the bus traveled at the same speed for 2 hours and then increased the speed by 10 km/hour until it reached a, thus spending 20 fewer minutes on the return trip. how long did the return trip take?
The speed going to B is x, the time t and the distance, 400 km.
xt=400, x kph and t in hours
on the way back, the 2x+(x+10)(t-7/3), where it was total time minus 2 hours already driven minus 1/3 of an hour, the 20 minutes.
2x+xt-(7/3)x+10t-70/3=400
2x+400-(7/3)x+10t-70/3=400, 400 cancels, t=400/x
-(1/3)x+4000/x=70/3
multiply by x
-(1/3)x^2-(70/3)x+4000=0
x^2+70x-12000=0
x=(1/2)(-70+/- sqrt 52900); sqrt term=230
x=80 kph
took 5 hours to go there
on way back 2 hours at 80 kph=160 km
2h40m at 90kph=90*8/3=240 km
They add to 400 km.
The return trip took 4h40m
Use the table to determine the following probabilities. The probability that a randomly chosen person from this group has type B is . The probability that a randomly chosen person from this group has type AB is . The probability that a randomly chosen person from this group has type B or type AB blood is .
Use the table to determine the following probabilities.
The probability that a randomly chosen person from this group has type B is 3/25
The probability that a randomly chosen person from this group has type AB is 1/25
The probability that a randomly chosen person from this group has type B or type AB blood is 4/25
The probability that a randomly chosen person is:
first person: 3/25
second person: 1/25
third person: 4/25
ProbabilityUse the table to determine the following probabilities.
The probability that a randomly chosen person from this group has type B is 3/25.
The probability that a randomly chosen person from this group has type AB is 1/25.
The probability that a randomly chosen person from this group has type B or type AB blood is 4/25.
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Is the mean value theorem for integrals the same as the mean value thoerem for derivatives?
Answer:
a^2 + b^2 =C^2
Step-by-step explanation:
Cam rode her bike 5 times as far as Dante did. Dante rode 187 meters farther than Michael did. Cam rode 15.25 Kilometers. How many meters did Michael ride? Explain how you know you got your answer
It was found that Michael rode 2863 meters.
To find out how many meters Michael rode, we first need to establish the relationship between the distances Cam, Dante, and Michael rode. According to the problem, Cam rode 5 times as far as Dante did. If Cam rode 15.25 kilometers, we first convert this to meters by multiplying by 1000 (since there are 1000 meters in a kilometer):
15.25 km × 1000 = 15250 meters.
Now that we know Cam rode 15250 meters and that this is 5 times the distance Dante rode, we can find Dante’s distance:
15250 meters / 5 = 3050 meters.
Dante rode 3050 meters, which is 187 meters farther than Michael did. To find the distance Michael rode, we subtract 187 meters from Dante’s distance:
3050 meters - 187 meters = 2863 meters.
Therefore, Michael rode 2863 meters.
Using the discriminant, how many real number solutions does this equation have? 3x^2 – 2 = 5x
Simplify i to the power 41
Answer:
It should be just "i"
The function f(x)=35+15x represents the amount of money, in dollars, mr. lewis earns for working x hours. how much money does mr. lewis earn for working 25 hours?
By substituting x with 25 in the equation f(x)=35+15x, we find out that Mr. Lewis would earn $410 for working 25 hours.
Explanation:The function provided is f(x)=35+15x, which represents the amount of money Mr. Lewis earns for working x hours. In the case of Mr. Lewis working for 25 hours, we substitute the value of x with 25 in the equation to calculate his earnings. Therefore, f(25)=35+15(25)=35+375=$410. Hence, Mr. Lewis would earn $410 for working 25 hours.
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Stephanie rdes her bike 2 miles to the post office, and then another 50 yards to the train station. How many yards long was her trip?
Find the first six terms of the sequence. a1 = -3, an = 2 ● an-1
If you shift the linear parent function, f(x)=x, down 7 units what is the equation of the new function
f(x)=x-7 is indeed the correct answer.just got it right
geometry question!! 50 POINTS
Answer:
2.74
Step-by-step explanation:
24 inches is 250% of what length
For what value of a does (1/9)^a+1 = 81^a+1 x 27^2-a?
Answer:
-4
Step-by-step explanation:
Next time use the internet :)
Which number would it be if rounded to the nearest foot
7191.51
A. 7191 FT
OR
B. 7192 FT
On average, Scott drinks ½ of a 6-ounce glass of water in ⅔ hour. How much water does he drink in an hour?
a) 0.75 ounces b) 2 ounces c) 4.5 ounces d) 9 ounces
Rewrite 0.85 as a fraction in lowest terms.
In the circle below, radius mn = 1.4 m and mlmn = 52°. determine the length of arc ln. round your answer to the nearest tenth and use π = 3.14.
Answer:
1.27 is the answer
Step-by-step explanation:
students have 40 minuets to complete 50 questions on the aspire ___ test
A) math
B) reading
C) english
D) writing
Answer:
english C)
Step-by-step explanation:
Stan's cookie recipe makes 242424 cookies and calls for exactly 384384384 sprinkles. He is wondering how many sprinkles (p)(p)left parenthesis, p, right parenthesis he will need to make 606060 cookies. He assumes each cookie will have the same number of sprinkles. How many sprinkles does Stan need to make 606060 cookies?
To find the number of sprinkles needed for 60 cookies, determine the number of sprinkles per cookie by dividing 384 by 24, which is 16. Then multiply 16 by 60 to get 960 sprinkles.
The question asks us to calculate the number of sprinkles (p) needed for 60 cookies when a recipe for 24 cookies calls for 384 sprinkles.
To solve this, we start by finding the number of sprinkles per cookie:
Divide the total number of sprinkles (384) by the number of cookies in the recipe (24).Multiply the result by the number of cookies we want to make (60).Therefore:
384 sprinkles ÷ 24 cookies = 16 sprinkles per cookie 16 sprinkles per cookie × 60 cookies = 960 sprinkles for 60 cookiesStan would need 960 sprinkles to make 60 cookies.
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Ratios
Ms. Grande brought 24 apples and 18 oranges for a party after a class play. Find the ratio of the number of apples to the total number of fruits Ms. Grande bought.
There are 44 chicken and fish filets altogether in a freezer. There are 12 chicken filets. Which is the ratio of the number of chicken filets to the number of fish filets in the freezer?
There were 12 boys and 18 girls in a class. Then, 3 more boys joined the class and 2 girls left. What is the ratio of the number of boys to the number of girls in the class now?
Monica had $42 and Naomi had $18 at first. Monica then gave $6 to Naomi. What is the ratio of the amount of money Monica has to the amount of money Naomi has in the end?
To find the ratio of the number of apples to the total number of fruits, divide the number of apples by the total number of fruits. Simplify the ratio by dividing both numbers by their greatest common factor. For the ratio of chicken filets to fish filets, divide the number of chicken filets by the total number of filets. Simplify the ratio if possible. To find the ratio of boys to girls, determine the new number of boys and girls after some changes. For the ratio of money, calculate the amounts each person has and simplify the ratio.
Explanation:To find the ratio of the number of apples to the total number of fruits, we divide the number of apples (24) by the total number of fruits (24 apples + 18 oranges = 42). This gives us a ratio of 24:42. We can simplify this ratio by dividing both numbers by their greatest common factor, which is 6. So the simplified ratio is 4:7.
For the second question, we need to find the ratio of the number of chicken filets to the number of fish filets. There are 12 chicken filets and a total of 44 filets in the freezer. So the ratio is 12:44. This can also be simplified by dividing both numbers by 4, giving us a simplified ratio of 3:11.
In the third question, we start with 12 boys and 18 girls. Then, 3 more boys join and 2 girls leave. So the new number of boys is 12 + 3 = 15, and the new number of girls is 18 - 2 = 16. The ratio of boys to girls is therefore 15:16.
In the fourth question, Monica has $42 and Naomi has $18. When Monica gives $6 to Naomi, Monica will have $42 - $6 = $36 left, and Naomi will have $18 + $6 = $24. The ratio of the amount of money Monica has to the amount of money Naomi has is 36:24, which can be simplified to 3:2.
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Which transformation is a rotation?
Answer:
the answer is c.
Step-by-step explanation:
Write an equation and solve: Twice a number, increased by 3 is 7.
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What is the average rate of change of the function over the interval x = 0 to x = 6? f(x)=2x−1
____
3x+5
Factor each polynomial. Check your answer by distributing. 2x^2+5x+2
The center of a circle is at (2, -5) and it's radius is 12. What is the equation of the circle?
A.) (x+2)^2 + (y-5)^2 =24
B.) (x-2)^2 + (y+5)^2 = 24
C.) (x+2)^2 + (y-2)^2 = 144
D.) (x-2)^2 + (y+5)^2 = 144
Answer:
The answer is D
Step-by-step explanation:
It is D
What is the surface area of the prism? Include steps.
The height of a tree in feet over x years is modeled by the function f(x). f(x)=301+29e−0.5x which statements are true about the growth of the tree? select each correct answer. the tree's maximum height is limited to 30 ft. the tree is initially 2 ft tall. between the 5th and 7th years, the tree grows approximately 7 ft. after growing 15 ft, the tree's rate of growth decreases.
Final answer:
The tree's maximum height is not limited to 30 ft but approaches 301 ft. Initially, the tree is 30 ft tall, not 2 ft. To verify the growth between the 5th and 7th years, one must calculate f(5) and f(7). The rate of growth indeed decreases over time.
Explanation:
When analyzing the function f(x) = 301 + 29e^{-0.5x} to understand the growth pattern of a tree, it is apparent that some statements about the tree's growth can be identified as true or false.
The tree's maximum height is not limited to 30 ft; instead, the model suggests that the height approaches 301 ft as x increases indefinitely, because the exponential term decreases towards zero.The tree is initially 30 ft tall, not 2 ft tall, since f(0) = 301 + 29 × 1 = 330 ft.Between the 5th and 7th years, the growth can be calculated using f(5) and f(7) to determine if it grows approximately 7 ft during that period.After growing 15 ft, the rate of growth would decrease since the exponential function's growth rate decreases as x increases.sabendo que x2 + y2=74 e que xy=35, calcule valor de (x - y2)2