Answer:
Average speed = 90 km/h
Step-by-step explanation:
Given that:
Distance covered at 100 km/h = 450 km
Time = [tex]\frac{Distance}{Speed}[/tex]
Time = [tex]\frac{450}{100}=4.5\ hours[/tex]
Distance covered at 60 km/h = 90 km
Time = [tex]\frac{90}{60}=1.5\ hours[/tex]
Total distance travelled = 450 + 90 = 540 km
Total time taken = 4.5 + 1.5 = 6 hours
Average speed = [tex]\frac{Total\ distance}{Total\ time}[/tex]
Average speed = [tex]\frac{540}{6}[/tex]
Average speed = 90 km/hr
Hence,
Average speed = 90 km/h
S641591 is a hacker don’t trust em
Answer:
welp ok
Step-by-step explanation:
Answer:
ok done
Step-by-step explanation:
A sample of 25 undergraduates reported the following dollar amounts of entertainment expenses last year:
769 691 699 730 711 765 702 718 719 712 768 688 757
695 768 735 709 758 708 693 736 700 687 772 715
a. Find the mean, median and mode of this information. (Round your answers to 2 decimal places.)
b. What are the range and standard deviation? (Round your answers to 2 decimal places.)
c. Use the Empirical Rule to establish an interval which includes about 95 percent of the observations. (Round your answers to 2 decimal places.)
Answer:
A.
mean = 724.2
Median = 715
Mode = 768
B.
Range = 85
Standard deviation = 29.30
C.
Interval = [665.6, 782.8]
Step-by-step explanation:
Number of samples n = 25
Summation X= 769 + 691 + 699 +730+711+ 765+ 702 718 +719 +712+ 768 +688 +757+695 768 +735 +709 +758 +708+ 693 +736 700+ 687 +772 +715 = 18105
A.
1. Mean = 18105/25
= 724.2
2. Median is the middle value when arranged from the least value to the highest = 715
3. Mode is the number with the highest frequency = 768 (occured two times)
B.
1. Range = highest value - lowest value
Highest value = 772
Lowest value = 687
772-687 = 85
2. Standard deviation = √(X-barX)²/n-1
= √20604/25-1
=√858.5
= 29.30
Please check attachment for the full calculation of the standard deviation
C.
Interval
[Mean - 2(sd), mean + 2(sd)]
= [724.2-2x29.3, 724.2+2x29.3]
=[665.6, 782.8]
Which of the following methods can be used to find the derivative of y = arcsin x with respect to z ?
|. Use the quotient rule to differentiate
II. Use the chain rule to differentiate sin(arcsin x) = 2.
III. Use implicit differentiation to differentiate the function y in the relation sin y = x with respect to z.
A) I only
B) Ill only
C) II and III only
D) I, II, and III
Answer:
B) Ill only
Step-by-step explanation:
This is because y = arcsin x can be re-written as sin y = x, We then differentiate sin y = x implicitly with respect to z to obtain
d(siny)/dz = dx/dz
(cosy)dy/dz = dx/dz
dy/dz = (1/cosy)dx/dz
Use the Commutative Property to write an expression equivalent to –5d + 12.
Step-by-step explanation:
[tex]\huge\bold\purple{ equivalent\: of \: -10d+24 }[/tex]
Answer:
767657
Step-by-step explanation:
I need help with these two questions ASAP thank you.
Answer:
There isn't a clear answer
Step-by-step explanation:
Question 1
If the diameter of a circle is 5 meters, what is the circle's radius, in meters?
Answer:
2.5
Step-by-step explanation:
The radius is half of the diameter. 5 / 2 = 2.5
Answer:
2.5
Step-by-step explanation:
radius = Diameter ÷ 2
We plug the diameter value that we know
radius = 5 ÷ 2
Then Solve
5 ÷ 2 = 2.5
Done!
Remember diameter divided by two = the radius
Why? Because one radius is equivalent to 1 half. So we need two halves to form one full.
The diameter is the size of the full length which is why it is divided by two in order to form two halves!
Hope This Helps
Myra can fill 18 glasses with 2 containers of tea. How many glasses can she fill with 3 containers?
Answer:
one container has 18/2 = 9 glasses so 3 will have (9)(3) = 27 glasses
Step-by-step explanation:
3(5 +4) + 4 – 2 •4
I need help please!
Answer:
23
Step-by-step explanation:
PEMDAS states that you must do parenthesis first:
(5+4)=(9)
Then Multiplication:
3(9)=27
2*4=8
Then addition and subtraction right to left:
27+4-8
31-8
23
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Answer:
after reflection over y axis
a 9,7
b 9,6
c 0,6
d 0,7
Answer:
have a good day
Step-by-step explanation:
i support u
What is Express the difference in simplest form. 3 1/2 - 1 7/8
Answer:
2-6
Step-by-step explanation:
Jack work after school. Each day he is paid a set amount, plus an hourly wage.
Answer:
What's the question? :)
Step-by-step explanation:
At Grocery Mart, tomatoes are $2.75 per pound, or you can buy a 5
pound box for $11.
a) What is the unit price for the first tomato option?
b) What is the unit price for the second tomato option?
c) Based on price, which is the better value option?
HELP ME PLEASE ITS TIMEDDDD
Answer:
a) $2.75
b) $2.2
c) Second tomato option is better value option.
Step-by-step explanation:
First option to buy tomatoes = $2.75 per pound
Second option to buy tomatoes:
To buy a box which is a 5 pound box and the price is $11.
To find:
a) Unit price for the first tomato option.
b) Unit price for the second tomato option.
c) Better value option on the basis of price.
Solution:
Let the consider the unit here to be a pound.
So, we will find the price of tomato per pound to find the unit price of tomato.
a) Unit price of the first tomato option is : $2.75 per pound
b) Unit price of the second tomato option:
Price for 5 pounds = $11
Dividing both sides with 5 to find the price of 1 pound or unit price.
Price for [tex]\frac{5}{5}[/tex] = 1 pound = [tex]\frac{\$11}5 = \$2.2[/tex]
c) To find the better value option, we can compare the unit prices of the two tomato options.
Here, we have the two tomato options with unit prices as:
$2.75 and $2.2
Second tomato option has a lower unit price, therefore, second option is better value option on the basis of price.
Use the drop-down menus to complete the statements to match the information shown by the graph
Answer:
Produce per pound costs less than meat per pound because the slope of the graph for meat is greater than that of the graph for produce.
The slope of the graph tells you the unit rate in dollars per pound .
[tex]3/5 of 5/9\\[/tex]
Answer:
⅓
Step-by-step explanation:[tex] \frac{5}{9} \times \frac{3}{5} [/tex]
[tex] = \frac{1}{3} \times \frac{1}{1} [/tex]
[tex] = \frac{1}{3} [/tex]
Checking:[tex] \frac{1}{3} \div \frac{3}{5} [/tex]
[tex] = \frac{1}{3} \times \frac{5}{3} [/tex]
[tex] = \frac{5}{9} [/tex]
#CarryOnLearning
Hey there!
When you see the word “of” in mathematical statement, it usually means “multiply” (aka Multiplication)
“3/5 of 5/9”
3/5 • 5/9
MULTIPLY the NUMERATORS (TOP NUMBERS) from each other & also MULTIPLY the DENOMINATORS (BOTTOM NUMBERS) from each other!
3(5) / 5(9)
3(5) = 15 ⬅️ NUMERATOR
5(9) = 45 ⬅️ DENOMINATOR
15/45
The GCF (Greatest Common Factor) for both of your numbers is: 15.. so DIVIDE both the NUMERATOR and DENOMINATOR from 15
15 ÷ 15 / 45 ÷ 15
15 ÷ 15 = 1 ⬅️ NUMERATOR
45 ÷ 15 = 3 ⬅️ DENOMINATOR
Answer: 1/3 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
what is the answer to this question
Answer:
D is the answer
Step-by-step explanation:
How to solve 52+ 58+ q=180 for q.
Answer:
70
Step-by-step explanation:
180 - 52 - 58 = q
q = 70
hope this helps...
The graph shows the cereal consumption by Daniel's family. Which is the unit rate of
the proportional relationship shown in the graph?
Answer:1/5
Step-by-step explanation:
It’s goes 1/5 per time
(X)=x3-22x2+157x-360
Answer:
Step-by-step explanation:
x1 = x2 = 6
x3 = 10
this is it im pretty sure
What is the tangent ratio for D
find the value of x ?!??
Answer:
x=4
Step-by-step explanation:
Pentagon's sum of interior angle is 540°
let's add all the given degrees
100+20x+16x+16+140+160-5x=540
Collect like terms
100+16+140+160+20x+16x-5x=540
416+31x=540
31x=540-416
31x=124
x=124/31
x=4```
Solve the system of equations by substitution X=-4y X+5y=2
Answer:
use -4y for x in the second equation
-4 y + 5 y = 2
so
y = 2
then x = -4(2) = -8
(-8 , 2)
Step-by-step explanation:
Answer:
X=-8, y=2
Step-by-step explanation:
The school store sells yellow pencils, green pencils and red pencils. There are ten pencils of each color in a container. Tracy picks one pencil
from the container without looking.
What is the probability that she picks a green pencil?
A. 1/30
B. 1/10
C. 1/3
D. 3/3
E. 3/1
Answer:
Step-by-step explanation:
Total pencils = 10 + 10 + 10 = 30 pencils
Option A 1/30 is the correct answer
Find the distance between the points (3,5) and (12,2).
?
Answer:
9.48
Step-by-step explanation:
Answer:
3√10 or about 9.49 units.
Step-by-step explanation:
To find the distance between any two points, we may use the distance formula given by:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Let (3, 5) be (x₁, y₁) and (12, 2) be (x₂. y₂). By substitution:
[tex]d=\sqrt{(12-3)^2+(2-5)^2[/tex]
Evaluate:
[tex]d=\sqrt{(9^2)+(-3)^2[/tex]
Square:
[tex]d=\sqrt{81+9}[/tex]
Simplify:
[tex]d=\sqrt{90}=\sqrt{9\cdot10}=\sqrt{9}\cdot\sqrt{10}=3\sqrt{10}\approx9.49[/tex]
The distance between (3, 5) an (12, 2) is 3√10 or about 9.49 units.
hey guys i need help plz will give brainlist
Step-by-step explanation:
Effective resistance in the 30Ω and 40Ω parallel circuit = 1 / (1/30 + 1/40) = 120/7 Ω.
20Ω + 10Ω = 30Ω
Effective resistance in the 50Ω and (20Ω + 10Ω) parallel circuit = 1 / (1/50 + 1/30) = 75/4 Ω.
Now we can add the resistances up:
Effective resistance for circuit
= 120/7 Ω + 75/4 Ω = 1005/28 Ω.
Hence I = V / R
= 9.0V / (1005/28 Ω) = 0.25A. (2s.f.)
Peter is typing an essay for his science class. The essay needs to be 8,100 words long. Peter can type 25 words per minute. If Peter has 600 words typed so far, how many hours will it take for Peter to finish typing the essay
Answer:
5 hours or 300 minutes
Step-by-step explanation:
If Peter has already written 600 words, he has 7,500 words left to write. If he can write 25 words per minute, it will take 300 minutes for him to finish because 7,500/25=300. 300 minutes can be converted to 5 hours.
Aubrey buys 2 souvenirs during each day of vacation. Write an equation that shows the relationship between the days of vacation x and the number of souvenirs bought y.
Write your answer as an equation with y first, followed by an equals sign.
Answer:
2X = Y
Step-by-step explanation:
To determine the equation that will allow to establish the amount of souvenirs bought by Aubrey (Y), taking into account that for each day of vacation (X) buys 2 souvenirs, the following must be taken into account:
The number of days (X) must be multiplied by 2. Thus, if you buy 2 souvenirs per day and your vacation lasts 4 days, you will have bought 8 souvenirs (4 x 2). Thus, the value of Y is equal to 2X, that is:
2X = Y
if 1ninch represents 22 miles on a map then how many miles will represent 2240 miles
Answer:
Step-by-step explanation:
you have to divide
Answer:
101.8181...
Step-by-step explanation:
I divided heres how.
1 inch equals 22 miles
2240 miles
2240/22=101.8181...
Hope this helps you.
4. (LT 1.1) The perimeter of the rectangle below is 40 feet. Its length and width are
given in terms of x. Find the length and width of the rectangle.
3x
2x + 5
Answer:
Length, L = 9 feet.
Width, W = 11 feet.
Step-by-step explanation:
Given the following data;
Perimeter = 40 feet
Length = 3x
Width = 2x + 5
The perimeter of a rectangle is given by the formula;
P = 2(L + W)
40 = 2(3x + 2x +5)
40 = 2(5x + 5)
40 = 10x + 10
10x = 40 - 10
10x = 30
x = 30/10
x = 3
Now, to find the length;
Length, L = 3x
Substituting into the equation, we have;
Length, L = 3*3
Length, L = 9 feet
To find the width;
Width, W = 2x + 5
Substituting into the equation, we have;
Width, W = 2(3) + 5
Width = 6 + 5
Width, W = 11 feet.
the equation of function is y=4x+5 what is the value of y when x=3?
Answer:
y=17
Step-by-step explanation:
y=4x+5
change x to 3
y=4(3)+5
y=12+5
y=17
The required value of y is 17 when x=3 for the given equation y = 4x + 5.
What is the equation?The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.
The equation of function is given in the question, as follows:
y = 4x + 5
We have to determine the value of y when x=3 for the above equation.
As per the question, we have
y = 4x + 5
Substitute the value of x = 3 in the above equation,
y = 4(3) + 5
y = 12 + 5
y = 17
Thus, the required value of y is 17.
Learn more about the equations here:
brainly.com/question/10413253
#SPJ6
Which of the following is equal to 4/7 - 4/7
. 0
. 1
. Undefined
. 1/7
Answer:
0 is the answer
Step-by-step explanation:
4-4=0
7-7=0