Answer:
48 cm^2
Step-by-step explanation:
The area of a trapezoid is calculated using the following formula :
(a+b)2*h (a: base, b: base, h: height)
(8+16)/2*4 = 48 cm^2
A train travels a total of 67 km at a constant speed of 110 km/h.
How long is its journey? Give your answer in minutes and seconds, to the nearest second.
Answer:
36 m 32 s
Step-by-step explanation:
67 /110 = 0.609 hour
0.609 × 60 minutes = 36.54 minutes
36 minutes + 0.54×60 second
= 36 minutes 32 seconds
Answer:
36 mins 32 secs
Step-by-step explanation:
Helppppppp what's the answer??????
What is the value of 1,608 divided by 10 cubed
Answer:
16 2/25
Step-by-step explanation:
1608 / 10^2
1608/100
16 8/100
16 4/50
16 2/25
Answer:
1.608
Step-by-step explanation:
1608 ÷ 1000 = 1.608
Salvador has a rug in his bedroom with perimeter of 36 feet, the length of the rug is 8 feet what is the width of the rug?
Answer:
10 feet
Step-by-step explanation:
Salvador has a rug in his bedroom with perimeter of 36 feet, the length of the rug is 8 feet what is the width of the rug?
The rug is shaped as a rectangle
The formula for the Perimeter of a rectangle = 2L + 2W
Perimeter = 36 feet
Length = 8 feet
Hence
36 = 2(8) + 2W
36 = 16 + 2W
2W = 36 - 16
2W = 20
W = 20/2
W = 10 feet
Therefore, the Width of the rug is 10 feet
Is knowing the coordinates of the vertex of a parabola enough to determine the domain and range? a. No: we would have no information about the domain. c. Yes: if the vertex is at (m,n), then the domain is all reals and the range is y ≤ n. b. No: we would need to know if the vertex is a minimum or a maximum. d. Yes: if the vertex is at (m,n), then the domain is all reals and the range is y ≥ n.
Answer:
The answer would have to be B
Step-by-step explanation:
explains itself
Answer:it’s B
Step-by-step explanation:
y= 4x + 2
y= 4x + 6
How many Solutions
What inverse operation is used to solve the equation?
2x=10
Addition Property: add 2 to both sides
Division Property: divide both sides by 2
Multiplication Property: multiply both sides by 2
Subtraction Property: subtract 2 from both sides
Answer:
Division Property: divide both sides by 2
Step-by-step explanation:
[tex]2x = 10[/tex]
[tex] \frac{2x}{2} = \frac{10}{2} [/tex][tex]x = \frac{10}{2} [/tex][tex]x = 5[/tex]
Hope it is helpful....Find the measure of angle 1
HELP
Answer:
75°
Step-by-step explanation:
The chord- chord angle is half the sum of of the arcs intercepted by the angle and its vertical angle, then
∠ 1 = [tex]\frac{1}{2}[/tex] (110 + 40)° = 0.5 × 150° = 75°
Find the volume of the cylinder
Either enter an exact answer in terms of pie or use 3.14 for pie.
Please help me any help will be appreciated thank you!
Answer:
500π m^3
Step-by-step explanation:
The question is not complete
Cylinders are described with dimensions as
Diameter and Height
Say the diameter is
D= 10m
and Height is
H=20
Hence the radius is
R= D/2= 10/2= 5 m
Therefore the volume is gotten as
V= πr^2h
V= π*5^2* 20
V= π*25*20
V= 500π m^3
Hence the volume is 500π m^3
Which triangle makes this statement true?
Answer:
A.
Step-by-step explanation:
i pretty sure
I need help plsss help
Answer:
Triangle: True
Parallelogram: False, area is 63cm^2
Trapezoid: True
Step-by-step explanation:
Use area calculators on the internet to find the area of shapes.
Which would it be please?Help if you can.
Answer:
B
Step-by-step explanation:
Area = length times width, in this case, both length and width is x.
While 5 and 2 are the lengths and widths for the unshaded part.
x^2 = whole square
x^2 - (5)(2) = area of shaded region
If 4 cups of milk is required to make 20 pancakes, how much milk will 30 pancakes require?
Hope this help!!!!!!! :)
Quantity of flour needed to make 20 pancakes =
Then , number of pancakes that can be made from 1 cup of floor :-
.
Therefore , 12 pancakes can be made from 1 cup of floor .
Solution (b) :-
Number of pancakes that can be made with 1 cup of flour = 12 pancakes
Number of pancakes that can be made with 9 cups of flour :-
= 9 × 12
= 108 pancakes
Therefore , I can make 108 pancakes with 9 cups of flour .
Solution (c) :-
Yes , I have enough flour to make 100 pancakes . I say this because :-
With one cup of flour I can make = 12 pancakes
With 9 cups of flour I can make =
= 9 × 12
= 108 pancakes
As I can make 108 pancakes with 9 cups of flour , I can conclude that I have enough flour to make 100 pancakes .
Step-by-step explanation:
4/5 divided by 3/4
I need help please!! :)
Answer:
1 1/5 in fraction form :))
One of the flights was 350 miles and its residual was -
105.00. What was the fare for this flight?
Based on data taken from airline fares and distances
flown, it is determined that the equation of the least-
squares regression line is ý = 102.50 +0.65x, where
ý is the predicted fare and x is the distance, in miles.
O $102.50
O $435.00
O $225.00
O $330.00
Answer:
O $225.00
Step-by-step explanation:
Given that
The one of the flight was 350 miles
And, its residual is 105
The regression line is y = 102.50 + 0.65x
where
y denotes the expected fare
And, x denotes the distance
We need to find out the fair of the flight
So,
y = 102.50 + 0.65 (350)
= 330.00
Now the fare is
= 330 - 105
= 225
Answer:
(C) 225 Is correct.
Predicted cost - residual = answer
y= 102.50 + .65(35)
330 - 105 = 225
255
ED2021
the difference between two numbers is 14. if 1/3 of the larger number is subtracted from the smaller number ,the result equals 1/10 of their sum. find both numbers
Step by step please
Answer:
Step-by-step explanation:
x-y=14
x-1/3y=1/10
-y=14-x
y=-14+x
take out the factors
x-10/30y=3/30
30x-10y=3
substitute
30x-10(-14+x)=3
30x+140-10x=3-140
20x/20=-137/20
x=-6.85
y=-14+(-6.85)
y=-20.85
The two numbers are 143/20 and 423/20.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Given that, the difference between two numbers is 14.
Let the smaller number be x and the larger number be y.
Here, y-x=14 ------------(i)
If 1/3 of the larger number is subtracted from the smaller number ,the result equals 1/10.
1/3 of larger number is 1/3 y
x-y/3 =1/10 ------------(ii)
From equation (i), substitute y=14+x in equation (ii), we get
x-(14+x)/3 =1/10
10(3x-14-x)=3
30x-140-10=3
20x-140=3
20x=143
x=143/20
Substitute x=143/20 in equation (i), we get
y-143/20=14
y=14+143/20
y=(280+143)/20
y=423/20
Therefore, the two numbers are 143/20 and 423/20.
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The curve
[tex]y = \sqrt{x - 3} [/tex]
has a tangent with gradient
[tex] \frac{1}{2} [/tex]
at point N.
Find the coordinates of N.
Answer:
Point N(4, 1)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Coordinates (x, y)FunctionsFunction NotationTerms/CoefficientsAnything to the 0th power is 1Exponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex] Exponential Rule [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Calculus
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle y = \sqrt{x - 3}[/tex]
[tex]\displaystyle y' = \frac{1}{2}[/tex]
Step 2: Differentiate
[Function] Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle y = (x - 3)^{\frac{1}{2}}[/tex]Chain Rule: [tex]\displaystyle y' = \frac{d}{dx}[(x - 3)^{\frac{1}{2}}] \cdot \frac{d}{dx}[x - 3][/tex]Basic Power Rule: [tex]\displaystyle y' = \frac{1}{2}(x - 3)^{\frac{1}{2} - 1} \cdot (1 \cdot x^{1 - 1} - 0)[/tex]Simplify: [tex]\displaystyle y' = \frac{1}{2}(x - 3)^{-\frac{1}{2}} \cdot 1[/tex]Multiply: [tex]\displaystyle y' = \frac{1}{2}(x - 3)^{-\frac{1}{2}}[/tex][Derivative] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle y' = \frac{1}{2(x - 3)^{\frac{1}{2}}}[/tex][Derivative] Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle y' = \frac{1}{2\sqrt{x - 3}}[/tex]Step 3: Solve
Find coordinates
x-coordinate
Substitute in y' [Derivative]: [tex]\displaystyle \frac{1}{2} = \frac{1}{2\sqrt{x - 3}}[/tex][Multiplication Property of Equality] Multiply 2 on both sides: [tex]\displaystyle 1 = \frac{1}{\sqrt{x - 3}}[/tex][Multiplication Property of Equality] Multiply √(x - 3) on both sides: [tex]\displaystyle \sqrt{x - 3} = 1[/tex][Equality Property] Square both sides: [tex]\displaystyle x - 3 = 1[/tex][Addition Property of Equality] Add 3 on both sides: [tex]\displaystyle x = 4[/tex]y-coordinate
Substitute in x [Function]: [tex]\displaystyle y = \sqrt{4 - 3}[/tex][√Radical] Subtract: [tex]\displaystyle y = \sqrt{1}[/tex][√Radical] Evaluate: [tex]\displaystyle y = 1[/tex]∴ Coordinates of Point N is (4, 1).
Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
Write the equation of this line from the table provided.
SOMEONE PLEASE HELP ASAP I WILL GIVE YOU BRAINLIEST!!!
Answer:
y=2x-1
Step-by-step explanation:
If you are supposed to write the equation in slope-intercept format, (y=mx+b), then y=2x-1 would be the answer. 2 is the slope(m), and -1 is the y-intercept(b). I hope thus helped :).
PLEASE FILL IN THE BLANKS WITH THE CORRECT ANSWERS! THIS ASSIGNMENT IS GOING TO BE DUE IN 20 MINUTES. PLEASE BE A KIND PERSON AND HELP ME ANSWER THIS!
Answer:a plus plumbing charges 60 for each hour of work plus a one time fee of 80 dollars
quality plumbing charges 50 for each hour of work plus one time fee of 150
t or f quality plumbing charges the least for 5 hours of work false
Step-by-step explanation:
I think this is correct, no time to explain if you need this answer fast
Write the point-slope form of an equation of the line through the points (-7, 7) and (4, 1).
A. y−4=−611(x−1)
B. y+1=−611(x+4)
C. y+7=−611(x−7)
D. y−7=−611(x+7)
Answer:
D) y-7=-6/11(x+7)
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(1-7)/(4-(-7))
m=-6/(4+7)
m=-6/11
y-y1=m(x-x1)
y-7=-6/11(x-(-7))
y-7=-6/11(x+7)
y=-6/11x-42/11+7
y=-6/11x-42/11+77/11
y=-6/11x+35/11
Help with math homework
What is the measure of x?
Answer:
105+54=x
Step-by-step explanation:
Jamal's friends toss 12 balls to him at the same time. Three balls are red, 3 are green, 3 are blue, and 3 are white. Jamal manages to catch 5 of the balls.
What is the probability that he catches 2 red balls and 1 ball of each of the other colors?
Answer:
81/792 or 9/88 or 10.2%
Step-by-step explanation:
Possibility: nCr(12,5) = 792
Red: nCr(3,2) = 3
Blue, Green, White: nCr(3,1) = 3
3 * 3 * 3 * 3 = 81
81/792 simplified is 9/88 percentage is 10.22%
The probability that Jamal will catch 2 red balls and 1 ball of each of the other colors is 0.1025.
What is probability?Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.
The probability of any event always lies in the close interval of 0 and 1 [0,1].
The zero value of probability indicates that the event will not happen while its value equal to one indicate that it will happen.
The total numbers of balls are 12.
Each color has 3 balls.
If total 12 balls are tossed, the number of ways of catching 5 of them is,
¹²C₅ = 792
The number of ways of catching 2 red balls out of 3 is ³C₂ = 3
The number of ways of catching 1 green ball out of 3 is ³C₁ = 3
The number of ways of catching 1 blue ball out of 3 is ³C₁ = 3
The number of ways of catching 1 white ball out of 3 is ³C₁ = 3
Thus, the probability as per the question is given as follows,
(3 × 3 × 3 × 3)/792
= 81/792
= 0.1025
Hence, the probability of catching 2 red balls and 1 ball of each of the other colors is 0.1025.
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Callie wrote this number to show the change in volume of a water cooler after practice. -9/10
What’s equivalent to what Callie wrote
The correct option is option B that is [tex]\frac{-9}{10}[/tex] is the same number as Callie has written to show the change in volume.
What is a fraction ?
A fraction is used to represent a portion or component of a whole. The numerator and denominator are its two parts.
It is given that Callie wrote a number to show the change in volume of a water cooler after practice which is :
= [tex]\frac{-9}{10}[/tex]
Let's check from the given options which is the correct one.
A)
- [tex]\frac{9}{-10}[/tex]
if we multiply and divide by -1 then we find that the given fraction is equal to :
= [tex]\frac{9}{10}[/tex]
This is not equal to what Callie has written.
B)
[tex]\frac{-9}{10}[/tex] is the same number as Callie has written to show the change in volume. So , this is a correct option.
C)
[tex]\frac{-9}{-10}[/tex] will be equal to [tex]\frac{9}{10}[/tex]. This is because there is negative sign in both numerator and denominator of the fraction , and they will get cancelled. So, this option is not correct.
D)
[tex]\frac{9}{10}[/tex] is not equal to [tex]\frac{-9}{10}[/tex]. To equal both we need to multiply [tex]\frac{9}{10}[/tex] by -1. Thus this option is also not correct.
Therefore , the correct option is option B that is [tex]\frac{-9}{10}[/tex] is the same number as Callie has written to show the change in volume.
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The square root 24 is between which two numbers on the number line
A)
1 and 2
B)
2 and 3
C)
3 and 4
D)
4 and 5
Answer:
Step-by-step explanation:
4²=16
5²=25
so √24 is between 4 and 5.
Tahari is shopping for a new car. She is making her decision based on brand, color, and style. She can choose from 4 brands, 5 colors, and 3 styles. First, Tahari chooses the color. Which explains the number of options that she has left after she chooses the color? Tahari has 60 options left because Tahari has 12 options left because she has options left. Tahari has 12 options left because . Tahari has 7 options left because she has options left.
Answer:After choosing the color she still has the choices of brands and style so:
Tahari has 4*3=12 options left.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
right on edge
Evaluate the expression when a = -4 and x=4.
4x-a
Answer: 20
Step-by-step explanation: Substitute -4 in for a and 4 in for x. Then, simplify.
4(4) - (-4)
16 + 4
20
Hope this helped. Please mark brainliest if correct!
Answer:
4(4)-(-4)
16+4
20
Step-by-step explanation:
When you put x is 4 in the first term u will get 16 and when you add two negatives u will get a positive, hence positive 4, that is 16+4
20
help plssssss!!!!!!!
Please help me I need help
d = 16.76 inches
Step-by-step explanation:
We can extend the definition of the Pythagorean theorem to 3-dimensions:
[tex]d = \sqrt{ {x}^{2} + {y}^{2} + {z}^{2} } [/tex]
Let x = 10 in
y = 10 in
z = 9 in
[tex]d = \sqrt{ {(10)}^{2} + {(10)}^{2} + {(9)}^{2} } [/tex]
[tex]d = \sqrt{281} = 16.76 \: in[/tex]
What is the length of the missing side of the triangle? The figure is not drawn to scale.
15
9
08
06
O 24
O 12
Answer:
Step-by-step explanation:
add all the numbers together to get your answer and divide it by two.
Answer:
Hello! answer: 12
Step-by-step explanation:
Assuming this is the Pythagorean theorem we would usually solve for c but c is already found so we have to work backwards so... 15 × 15 = 225
9 × 9 = 81 225 - 81 = 144 √144 = 12 therefore 12 is the answer Hope that helps!