Answer:
The bus will take 81 minutes to complete the trip.
Step-by-step explanation:
To determine how many minutes will the bus take to complete the trip if a bus completes half a trip at 40 km per hour and the other half at 50 km per hour, and the whole trip was 60 km, the following calculation must be performed:
60/2 = 30
30/40 = 3/4 of an hour = 45 minutes
30/50 = 3/5 of an hour = 36 minutes
45 + 36 = 81
Therefore, the bus will take 81 minutes to complete the trip.
a river generates a spring flood about 40% of the time. Based on these records, what is the chance that it will flood for at least three years in a row sometime during the next five years
The question says Simplify 7log7(49)
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Answer:
14
Step-by-step explanation:
[tex]7\log_7(49)=7\log_7(7^2)=7\cdot2=\boxed{14}[/tex]
Hello everyone can someone answer this question please
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Answer:
(a) 2
Step-by-step explanation:
Each inch is 2.54 cm, so 5.08 cm is ...
x / (5.08 cm) = (1 in) / (2.54 cm)
x = (1 in)(5.08/2.54) = (1 in)(2)
x = 2 in
5.08 cm equals 2 inches.
Does anyone know how to take the fuzzy stuff off
Answer:
???
Step-by-step explanation:
Hey!!! Plz help the question is below in a image
Answer:
desculpa não consigo responder pq esta td inglês ou espanhol prá mim se vc me dizer como posso fazer para voltar a ser português possa te ajudar em algo
Answer:
2.72 [tex]cm^2[/tex]
Step-by-step explanation:
You first find the area of the whole rectangle.
Then you have to find the area of the circle. The area of a circle is [tex]2\pi r[/tex].
The radius is 1 so it will be 2[tex]\pi[/tex].
[tex]\pi[/tex] equals 3.14 so you have to do 3.14*2 that equals 6.28.
Finally subtract 9-6.28=2.72
Sam can mow a lawn in 40 minutes. Melissa can mow the same lawn in 80 minutes. How long does it take for both Sam and Melissa to mow the lawn if they are working together?
Answer:
It will take them both 24 minutes to mow the lawn if they are working together.
Step-by-step explanation:
Given that Sam can mow a lawn in 40 minutes, and Melissa can mow the same lawn in 80 minutes, to determine how long does it take for both Sam and Melissa to mow the lawn if they are working together, the following calculation must be performed:
1/40 + 1/60 = 1 / X
3X + 2X = 120
X = 120/5
X = 24
Thus, it will take them both 24 minutes to mow the lawn if they are working together.
Please helpppp!!!!!!!
X=180-57-57=66
Dababy sus
find the coefficient of the third term of (x+2)^5
Answer:
40
Step-by-step explanation:
(x+2)^5 use binomial theorem :
(a+b)^n = (n choose 0)*a^n*b^0 + (n choose 1)*a^(n-1)*b^1 + (n choose 2)*a^(n-2)*b^2) + ... + (n choose (n-1)*a^1*b^(n-1) + ( n choose n)*a^0*b^n
this seems like a lot but to break it down, notice how the exponent on 'a' decreases as the exponent on 'b' gets bigger.
also, the 'choose' formula is :
(n choose r ) = n!/ (n-r)!r!
now plug in your values
(x+2)^5 =
(5 choose 0)*x^5*2^0 + (5choose 1)*x^4*2^1 + (5 choose 2)*x^3*x^2 + (5 choose 3)*x^2*2^3 + (5 choose 4)*x^1*2^4 + (5 choose 5)*x^0*x^5
we only need the third term so we will solve for this :
(5 choose 2)*x^3*x^2
5 choose 2 = 5!/ (5-2)!2! = 5!/ 3!2! = 10
x^3 * 2^2 = 4x^3
10*4x^3 = 40x^3
One angle measures 27° more than 2 times another. If the two angles are complementary, find the measures of the angles.
A. 21°; 69°
B. 26°; 64°
C. 31°; 59°
D. 23°; 67°
Answer:
A. 21°, 69°
Step-by-step explanation:
If you work by process of elimination all you have to do is take 27 away from the bigger degree of the two and see if it is 2x as much as the smaller degree.
Ex.
1. 69°-27°= 42°, which is 2x as many as 21°.
Select the correct answer.
Solve for x.
B.
C.
D.
Answer:
C. [tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]20x - 40 = 100x[/tex][tex]20x - 100x = 40[/tex][tex]- 80x = 40[/tex][tex]x = -\frac{40}{80}[/tex][tex]x = -\frac{1}{2}[/tex]Matt buys a new fish tank. The fish tank is in the shape of a cuboid. The diagram shows water in the tank. 30 cm 30 cm 100 cm Matt knows 1000 cm' = 1 litre 1 gallons = 4.5 litres He can keep 2 small fish in the tank for every 1 gallon of water in the tank. Matt thinks he can keep more than 36 small fish in the tank. Is Matt correct?
Answer: Yes, but only if he houses 37, 38, 39, or 40 fish
Anything larger than 40 and he'll need more room.
==========================================================
Explanation:
The tank is 30 cm by 30 cm by 100 cm. The volume is 30*30*100 = 90,000 cm^3 which is shorthand for "cubic centimeters".
We're told that 1000 cm^3 = 1 liter, which means the 90,000 cm^3 converts to (90,000)/(1000) = 90 liters.
The fish tank is 90 liters.
Since 1 gallon = 4.5 liters, this means the 90 liter tank converts to 90/(4.5) = 20 gallons
----------------------------
Your teacher mentions "He can keep 2 small fish for every 1 gallon".
Since the tank is 20 gallons, that means he can keep 20*2 = 40 fish. This value is larger than 36, so Matt is correct to a point. If Matt is thinking 37, 38, 39, or 40 fish then he would be correct. If Matt is wanting more than 40 fish, then he'll need a bigger tank.
In short, he can't have any number over 36 and can only have 4 specific values (the four values mentioned earlier).
So technically, Matt is correct, but strong clarification is needed.
Two planes are the same altitude. From the airport , one plane is 50 km away in the direction of N°60 E and another is 80 km away in the direction of S50° E .How far apart are the two planes
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Answer:
78.5 km
Step-by-step explanation:
Measured at the airport, the angle between the two planes is ...
180° -60° -50° = 70°
The law of cosines tells us the distance between the planes is ...
d = √(50² +80² -2·50·80·cos(70°)) ≈ √6163.84 ≈ 78.5 . . . km
The planes are about 78.5 km apart.
he solutions to the inequality y > −3x + 2 are shaded on the graph. Which point is a solution? (0, 2) (2, 0) (1, −2) (−2, 1)
Answer:
The Answer Is Point B (2,0)
Step-by-step explanation:
(-1/2^5)×2^3×(3/4^2) [EVALUATE]
Step-by-step explanation:
here's the answer to your question
This probability distribution shows the
typical grade distribution for a Geometry
course with 35 students.
Resou
Grade
A
B C D F
ајӘН
Frequency 5
10
15
3
Find the probability that a student earns a
grade of D or F.
p = [?]
Enter a decimal rounded to the nearest hundredth.
Eva nail
Answer:
14.29%
Step-by-step explanation:
Total observations that had grade D or F: 5
Total observations: 35
[tex]\frac{5}{35} =\frac{1}{7} =.1429[/tex]
Answer:
.14
without rounding it is .1492 , rounded to the nearest hundredth it is .14
What's a radian?
A) The ratio between a circle's diameter and its radius
B) The distance halfway around a circle
C) The ratio between a circle's circumference and its radius
D) An angle made at the center of a circle by an arc whose length is equal to the radius of the circle
Answer:
The correct answer is d.
write the greatest and least number by using the following digits with out repeating any of the digits. 2,5,1,6,3,0,8,7
Answer:
87653210=highest
01235678=least
Answer:
Least number: 10235678
Greatest number: 87653210
state the hundred thousands place for 7,832,906,215
Answer:
Step-by-step explanation:
6 is the thousands place
0 (right next to it) is the 10 thousands place
9 is the hundred thousands place. There is only 1 nine present so the answer is unique.
Question 5 of 25
Find the common ratio for this geometric sequence.
0.7, 2.1, 6.3, 18.9,...
O A. 1.4
O B. 3
O C.-3
D. 0.33
SUBMIT
Answer:
3
Step-by-step explanation:
common ratio
2.1/0.7=3
6.3/2.1=3
18.9/6.3=3
therefore common ratio is equal to 3
For the given piecewise function, evaluate for the specified value of x.
Answer:
g(-3) = 1
Step-by-step explanation:
The x-value -3 lies within the given interval x ≤ -3, and so the correct piecewise function is x + 4, not -4 or -1. Evaluating x + 4 at x = -3 yields 1.
Thus, g(-3) = 1
The required value of the function g(x) at x = -3 , g(-3) is +1.
Given that,
A function is given with their domain,
g(x) = x + 4 when x≤
g(x) = 4 when -3 < x < 3
g(x) = - 1 when x ≥ 3
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here, Function has been given with their respective limit in which the function is defined,
For the value of g(-3) the value of x = -3 lies in the limit x ≤ -3
So for this limit, we have a function,
g(x) = x + 4
g(-3) = - 3 + 4
g(-3) = +1
The required value of the function g(x) at x = -3 , g(-3) is +1.
learn more about function here:
brainly.com/question/21145944
#SPJ5
Find the missing side. Round your answer to the nearest tenth
Answer:
x = 24.8
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
Sin theta = opp / hypotenuse
sin 75 = 24 /x
x sin 75 = 24
x = 24/ sin 75
x=24.84662
Rounding to the nearest tenth
x = 24.8
• The difference between a polynomial or rational equation and polynomial or rational inequality
Answer:
An equation has an equal sign between two expressions, while an inequality has a ≤ or ≥ sign.
An organic farm has been growing an heirloom variety of summer squash. A sample of the weights of 40 summer squash revealed that the mean weight is 402.7 grams and the standard deviation 8.8 grams. What is the probability that the mean weight for a sample of 40 summer squash exceeds 405.5 grams?
a. 0.3783.
b. 0.0228.
c. 1.0000.
d. 0.5000.
Answer:
b. 0.0228
Step-by-step explanation:
We are given that
n=40
Mean,[tex]\mu=402.7 g[/tex]
Standard deviation, [tex]\sigma=8.8[/tex]g
We have to find the probability hat the mean weight for a sample of 40 summer squash exceeds 405.5 grams.
[tex]P(x>405.5)=P(\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}>\frac{405.5-402.7}{\frac{8.8}{\sqrt{40}}})[/tex]
[tex]P(x>405.5)=P(Z>\frac{2.8}{\frac{8.8}{\sqrt{40}}})[/tex]
[tex]P(x>405.5)=P(Z>2.01)[/tex]
[tex]P(x>405.5)=1-P(Z\leq 2.01)[/tex]
[tex]P(x>405.5)=1-0.977784[/tex]
[tex]P(x>405.5)=0.022216[/tex]
Hence, option b is correct.
What is the value of the expression below?
e^In 4
O A. 12
B. 3
C. 4.
D. 8
SUBMI
Answer:
C. 4
Step-by-step explanation:
ln(4) = the power of e to get 4.
and then we put e to the power of that answer, so the result must be 4.
A store has clearance items that have been marked down by 55%. They are having a sale advertising an additional 40% off Clarence items what percentage of the original price do you end up paying?
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Answer:
27%
Step-by-step explanation:
The price multiplier for the first discount is (1 -55%) = 0.45.
The price multiplier for the second discount is (1 -40%) = 0.60.
Then the price multiplier for the two discounts together is ...
(0.45)(0.60) = 0.27
You end up paying 27% of the original price.
Write the equation of each line in slope intercept form. Slope is -6, and (1,-2) is on the line
add the missing sequence
Answer:
a) 2, 6, 10, 14, 18, 22
b)60, 59, 57, 54, 50, 45
c)240, 120, 60, 30, 15, 7 1/2
Step-by-step explanation:
The answer was already there.
Find all the zeros of f(x).
f(x) = 2x3 + 7x2 - 28x + 12
Arrange your answers from smallest to largest. If
there is a double root, list it twice.
Plz help!
Answer:
The zeroes are -6, 1/2 and 2.
Step-by-step explanation:
f(x) = 2x3 + 7x2 - 28x + 12 = 0
From the first and last coefficient 2 and 12, one guess for a zero is x = 2.
So substituting x = 2:
f(2) = 16+ 28 - 56 + 12 = 0
So x = 2 is a zero and x - 2 is a factor of f(x)
Performing long division:
x - 2)2x3 + 7x2 - 28x + 12( 2x2 + 11x - 6 <------- Quotient
2x3 - 4x2
11x2 - 28x
11x2 - 22x
- 6x + 12
-6x + 12
.............
Now we solve
2x2 + 11x - 6 = 0
(2x - 1)(x + 6) = 0
2x - 1 = 0 or x + 6 = 0, so:
x = 1/2, x = -6.
Answer: -6, 1/2, 2.
Step-by-step explanation:
{(x) = 2x3 + 7x2 - 28x + 12 = 0
From the first and last coefficient 2 and 12, one
guess for a zero is x=2.
So substituting x=2:
{(2) = 16+ 28 - 56 + 12 = 0
So x = 2 is a zero and x - 2 is a factor of f(x)
Performing long division:
X - 2)2x3 + 7x2 - 28x + 12(2x2 + 11x - 6 <
Quotient
what is the image of ( 4, -8 ) after a dilation by a scale factor of 1/4 centered at the origin ?
what we know?:
* scale factor of 1/4
* the point (4, -8)
all we have to do is put 4/4 (because we are dilating by 1/4)
4/4= 1
same for the other one: -8/4= -2
FINAL ANSWER: (1, -2)
PLEASE HELP!! MIGHT GIVE BRAINLIEST!!!!!
Graph a line with x - intercept of -2 and has a slope of 3
Answer:
The answer must be between 20 and 5000 characters