Answer:
A, B, and C
Step-by-step explanation:
The true statements are B, C and E.
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
Slope can also be defined as the tangent of the angle that the line is making with the positive X axis.
Given is a graph of the amount of water in a bathtub with respect to time.
A) This statement means that the slope of the line at 10 : 01 pm is smaller than that of at 10 : 14 pm.
The line is steeper at 10:01 pm than that at 10:14 pm. That is the tangent of the angle making with the x axis at 10:01 pm is higher than that at 10:14 pm.
So the tub is filling at a faster rate at 10:01 pm than at 10:14 pm.
B) At 10:06 pm, the amount of water is constant at 30 gallons. So this statement is correct.
C) The maximum amount of water in the tub was about 35 gallons is a correct statement since after that the tub was draining.
D) The amount of water in the tub stayed the same from 10:16 pm to 10:20 pm is not correct, since the water was draining during the time and thus, water was decreasing.
E) It took 4 minutes for the tub to drain. It is correct since the draining starts at 10:16 pm and ends at 10:20 pm.
Hence the correct statements are B, C and E.
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what is the answer to this question
Answer:
D is the answer
Step-by-step explanation:
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 .
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.
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.
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]
What is the tangent ratio for D
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:
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:
The variables y and x have a proportional relationship, and y = 12 when x = 5. What is the value of y when x = 8? Enter your answer as a decimal in the box. y =
Answer:
the answer is 19.2
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.)
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:
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
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
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.
What is Express the difference in simplest form. 3 1/2 - 1 7/8
Answer:
2-6
Step-by-step explanation:
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
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```
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:
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
Norman has $15 in his wallet which is 20% of the total amount of money he owns. How much
money does Norman have in total? (Create a linear model if needed.)
S641591 is a hacker don’t trust em
Answer:
welp ok
Step-by-step explanation:
Answer:
ok done
Step-by-step explanation:
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.
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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
I need help with these two questions ASAP thank you.
Answer:
There isn't a clear answer
Step-by-step explanation:
i giveeeeeeeeeeee brainlillstttttttttttt
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
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.
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
How to solve 52+ 58+ q=180 for q.
Answer:
70
Step-by-step explanation:
180 - 52 - 58 = q
q = 70
hope this helps...
(X)=x3-22x2+157x-360
Answer:
Step-by-step explanation:
x1 = x2 = 6
x3 = 10
this is it im pretty sure
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