The solution is Option B , Option D , Option E
The athletes with speeds 20m/s and 30m/s will meet at every minute
What is Speed?
Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude
Speed = Distance / Time
Given data ,
Let the equation be represented as A
Now , the value of A is
The distance of the track is D = 600 m
Let the first athlete be A
Let the second athlete be B
The speed of A = 20 m/s
The speed of B = 30 m/s
The time taken by A to complete 600 m = 600 / 20 = 30 seconds
The time taken by B to complete 600 m = 600 / 30 = 20 seconds
Now , the time at which A and B will cross each other is the LCM of their respective time
So , The LCM of 20 and 30 is = 60 seconds
Therefore , the athletes will meet together at every 60 seconds or every 1 minute
Hence , the athletes will meet at every minute
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What were the
prominent primary, secondary and tertiary effects the disaster brought?
d(x³+4x)/dx find the derivative ?
Answer:
3x²+4
Step-by-step explanation:
To find the derivative of something with respect to x, for each term multiply the power on the x in that term by the coefficient in the same term, and then lower the x's power by one.
For example, if we had to find the derivative of 2x³, we would first multiply the power on the x (3) by the coefficient (2): 6x³. Then lower the x's power by one: 6x². So the derivative of 2x³ is 6x².
To find the derivative an expression with several terms added together, you just do the same for each terms.
d(x³+4x)/dx
= [tex]\frac{d}{dx}[/tex] x³+4x
= 3x²+4
Square root 3 sin theta = -3 cos theta
Answer:
Step-by-step explanation:
hello : the equation is : √3 sinθ= -3 cosθ means :
sinθ/cosθ = -3/√3
sinθ/cosθ = - √3 because : 3 =√3 ×√3
but : sinθ/cosθ = tan θ
tan θ = - √3 and - √3 = tan( π - π/3) = tan(2 π/3)
you have : tan θ = tan(2 π/3)
note : tanx=tany means : x= y + k π ... k in Z
so : all solutions in R are θ = 2 π/3+k π ... k in Z
Chow do I solve 6w - 6 = 54
Answer:
w = 10
Step-by-step explanation:
6w - 6 = 54
6w = 54 + 6
6w = 60
w = 60/6
w = 10
Find the zeros of the function.
Enter the solutions from least to greatest.
g(x) = 7x^2 – 567
lesser x =
greater x =
Answer:
Lesser x = -9
Greater x = 9
Step-by-step explanation:
solve the equestion 2x³+3x²_3x=2
Answer:
2
Step-by-step explanation:
For Example, To complete the square when a is greater than 1 or less than 1 but not equal to 0, factor out the value of a from all other terms.
For example, find the solution by completing the square for:
2x2−12x+7=0
a≠1,a=2 so divide through by 2
22x2−122x+72=02
which gives us
x2−6x+72=0
If the perimeter of the triangle is 95 inches, what is the length of each side? n, 3n+8, and 4n+7.
Answer:
10, 38, 47
Step-by-step explanation:
The perimeter is the sum of the side lengths:
95 = n +(3n +8) +(4n +7)
80 = 8n . . . . . . subtract 15
10 = n
3n+8 = 3(10) +8 = 38
4n+7 = 4(10) +7 = 47
The lengths of the sides of the triangle are 10, 38, 47.
HELP! PLZ I need to show work too .
-12.5 - (-12)
Answer:
-0.5
Step-by-step explanation:
-12.5 - (-12) = -12.5 + 12 (because you distribute the minus sign). Then, when adding you get - 0.5
Answer:
-0.5
Step-by-step explanation:
-12.5-(-12)
-12.5 + 12
-0.5
If DC is about 12 units, what other length(s) can you determine? Please don’t put a link as an answer.
Answer:
How is DC 12 units if all the sides are congruent and AB clearly states that it is 9 units long?
Doesnt make sense
find the area of the polygon to the nearest square inch
9514 1404 393
Answer:
120 square inches
Step-by-step explanation:
The formula for the area is ...
A = (1/2)Pa
where P is the perimeter and 'a' is the apothem. The perimeter of this octagon is 8 times the side length.
A = (1/2)(8×5 in)(6 in) = 120 in²
The area of the octagon is 120 square inches.
A sports fan conducted a test to investigate whether male high school athletes are equally divided among football, soccer, swimming, tennis, and basketball. A sample of male high school athletes was selected and the resulting value of the chi-square test statistic was 10.65. Which if the following represents the p value
Answer:
[tex]P(x^{2} \geq 10.65) = 0.03\\[/tex]
Step-by-step explanation:
Since there are 5 categories, there are 5−1=4 degrees of freedom. The probability of obtaining a chi-square test statistic greater than or equal to 10.65 with 4 degrees of freedom is approximately 0.03, as found using technology.
alex, bella, cara share £90; work how much each of them have if:
alex has £x
bella has 3 times as much as alex
cara has £10 less than alex
Step-by-step explanation:
given,
alex = x
bella = 3x
cara = x - 10
and also given,
[tex]x + 3x + (x - 10) = 90 \\ x + 3x + x - 10 = 90 \\ 5x - 10 = 90 \\ 5x = 90 + 10 \\ 5x = 100 \\ x = 100 \div 5 \\ = 20[/tex]
Given x = £20,
Alex = £x = £20
Bella = £3x = £3x20 = £60
Cara = £(x-10) =£(20-10) =£10
I need help with slopes!!
Answer:
The slope of this line is -4
HELp! WILL GIVE BRANLIEST
Answer:
330
Step-by-step explanation:
When you need a fraction of a number, likeſ of 9, how do you find out how much you need?
A
You add the fraction to the number.
B
You subtract the fraction from the number.
с
You divide the number by the fraction.
D
You multiply the number by the fraction,
Answer:
D) Multiply
Explanation:
The word "of" usually means you multiply.
I want to prove that (2tanx)/(sec^2x)=sin2x.
Answer:
Step-by-step explanation:
[tex]LHS = \frac{2 tan x}{Sec^{2} x}\\\\= 2tan x * \frac{1}{Sec^{2}x}\\\\= 2*\frac{Sinx }{Cos x}*Cos^{2}x\\\\= 2Sin x *Cos x\\= Sin 2x[/tex]
PLEASE HELP!!!
FIRST ONE TO ANSWER GETS BRAINLEST!!!
Which graph represents the solutions of the inequality k > 11?
Answer:
B)
Step-by-step explanation:
k > 11
Since the sign is > that means it's an OPEN circle
Since the sign is > that means it's going to the RIGHT
A major credit card company is interested in whether there is a linear relationship between its internal rating of a customer’s credit risk and that of an independent rating agency. Thecompany collected a random sample of 200 customers and used the data to test the claim that there is a linear relationship. The following hypotheses were used to test the claim.
The test yielded a t -value of 3.34 with a corresponding p -value of 0.001. Which of the following is the correct interpretation of the -value?
a. If the alternative hypothesis is true, the probability of observing a test statistic of 3.34 or greater is 0.001.
b. If the null hypothesis is true, the probability of observing a test statistic at least as extreme as 3.34 is 0.001.
c. If the null hypothesis is true, the probability of observing a test statistic of 3.34 or greater is 0.001This answer is incorrect.
d. If the alternative hypothesis is true, the probability of observing a test statistic at least as extreme as 3.34 is 0.001.
e. If the null hypothesis is true, the probability of observing a test statistic of 3.34 is 0.001.
Answer:
C
Step-by-step explanation:
The test produced, a t-value of 3.34 and a p-value of 0.001 as a result. The possibility of seeing a test statistic at least as extreme as 3.34 is 0.001; the proper reading of the p-value is different if the alternative hypothesis is true.
Probability calculation:p-value = 0.001
t = 3.34
Whether the alternative theory is true because there is a 0.001, and the possibility of showing testing statistics as extreme as 3.34.The p-value indicates that since the Null-hypothesis is true, there is a 0.001 chance of seeing a test statistic at least as extreme as 3.34.Therefore, the final answer is "Option d".
Find out more information about the p-value here:
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Miles takes a 350-mile round-trip flight to visit his parents. To qualify for Gold status at Awesome
Airlines, one must fly at least 7700 and less than 12600 miles each year. How many times would Miles
need to visit his parents each year to attain Gold status? Express your answer in interval notation.
Answer:
Miles must travel a minimum of 22 times and a maximum of 36 times to achieve Gold status.
Step-by-step explanation:
Given that Miles takes a 350-mile round-trip flight to visit his parents, and to qualify for Gold status at Awesome Airlines, one must fly at least 7700 and less than 12600 miles each year, to determine how many times would Miles need to visit his parents each year to attain Gold status, the following calculation must be performed:
7700/350 = X
22 = X
12600/350 = X
36 = X
Thus, Miles must travel a minimum of 22 times and a maximum of 36 times to achieve Gold status.
Pls answer I got 15 points and omg pls be correct
Answer:
$119.79
Step-by-step explanation:
Formula:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
Given:
P = 90
r = 0.1
t = 3
n = 1
Work:
[tex]A=P(1+\frac{r}{n} )^{nt}\\\\A=90(1+\frac{0.1}{1} })^{3*1}\\\\A=90(1.1)^3\\A=90(1.331)\\A=119.79[/tex]
Find the values of the variables and the lengths of the sides of the kite.
Answer: since you didnt answer mine.
Step-by-step explanation:
Find the slope of the line graphed.
A) -4/5
B)-5/4
C)4/5
D)5/4
Have to use photo to solve.
Answer:
The answer is -4/5 C
Step-by-step explanation:
In order to play on the 7th grade basketball team you must buy a team uniform. Last year a uniform cost $40, but this year a uniform cost $48. What is the percent of change?
Show your work here:
INCLUDE ANSWER AND TY
Answer:
20%
Step-by-step explanation:
The uniform cost $8 more than last year.
Last year was $40
Find what percent of 40 is 8.
8/0.4 = 20
the percent change is 20%
50 POINTS!! URGENT !! PLS HELP
Answer:
Option C
Step-by-step explanation:
The two triangles will be similar if the ratio of their corresponding sides are proportional. Let's check this ,
1st side :-
= 8:3
2nd side :-
= 10 : 4 = 5:2
3rd side :-
= 6:5 .
Since the ratio of the sides of triangle are not same therefore that 2 triangles are not similar .
Option C is correct .
The ration of girls to boys is 7:8. If there are 140 girls, how many boys are there?
Answer:
160
Step-by-step explanation:
140 divided by 7 equals 20, then you times the answer by 8, which you get 160.
I’m stuck on this problem helpp
find the difference of 13 2/5 and 3 3/4
Answer:
9 13/20
Step-by-step explanation:
Tell what whole number you can substitute for x in the following list so the numbers are ordered from least to greatest. 1/x, x/5,70%
Answer:
hmmm................chupapu
what is the slope of the following equation y = -1/2x + 4
Answer:
the slope is -1/2
Step-by-step explanation:
Are these ratios equivalent?
28 strikes : 36 balls
7 strikes : 9 balls
Answer:
yes
Step-by-step explanation:
the ratio of 28 : 36 can be simplifeid by dividing both sides of the ratio by 4.
28/4=7
36/4=9
so the ratio of 28 : 36 is equal to 7 : 9