Willie needs to keep same force acting by him on the cart inorder to balance the force.
Let's check how?
F_1=100NF_2=-100N[tex]\\ \sf\longmapsto F_{net}=100-100=0N[/tex]
.Hence verified
Given the functions,
f(x) = x^3 - 4x^2 + 5
g(x) = x^2 + 6x - 7
h(x) = x + 6
Find f(g(-3)).
Answer:
f(g(- 3) ) = - 5115
Step-by-step explanation:
Evaluate g(- 3) then substitute the value obtained into f(x)
g(- 3) = (- 3)² + 6(- 3) - 7 = 9 - 18 - 7 = - 16 , then
f(- 16) = (- 16)³ - 4(- 16)² + 5
= - 4096 - 4(256) + 5
= - 4096 - 1024 + 5
= - 5115
3
Roy and David both play football for the same team. A football match is 90 minutes long.
In one match, Roy plays for 70% of the 90 minutes and David plays for of the 90 minutes.
Who plays for the longer time and by how many minutes?
Answer:
27 minutes
Step-by-step explanation:
please check the image it has all the steps to solve it . Thank you.
I need the answers to thisssss?
Answer:
Step-by-step explanation:
A. Zero Slope: since it is horizontal
B. Positive Slope: since it goes up and to the right
C. Undefined Slope: since it is vertical
D. Negative Slope: since it goes down and to the left
Write a statement
---------------------------------------------------------------------------------------------------------------------
9514 1404 393
Answer:
C) ΔDCE ≅ ΔDQR
Step-by-step explanation:
Corresponding vertices can be identified by the number of arcs signifying congruence.
1 mark: angles D and D
2 marks: angles C and Q
3 marks: angles E and R
Corresponding angles are listed in the same order in the congruence statement:
ΔDCE ≅ ΔDQR
Use the drawing tools to form the correct answer on the graph. What is the inverse of the function shown? (4,-2)
well, keeping in mind that to draw a line all we need is two points, now, the one drawn already has many points let's pick two off of it, hmmm (-1,4) and (-6,-2).
Now, let's recall that for inverse functions, the domain of the original is the range of the inverse and the range of the original is the domain of the inverse, what does that mean? heheh, well, it simple means that for any point on the original that is say (a , b), the inverse will have a point at the flipped version of it of (b , a). So if the orginal has the points aforementioned above, then the inverse will surely have the points of (4 , -1) and (-2 , -6), and we can just draw a line through those. Check the picture below.
Can anyone help me with this one asap? Thanks in advance.
The answer to your question is in the image above.
The two tables below show the amount of tip, y, included on a bill charging x dollars.
A 2-column table with 3 rows titled Restaurant A. Column 1 is labeled x with entries 10, 20, 30. Column 2 is labeled y with entries 1, 2, 3.
A 2-column table with 3 rows titled Restaurant B. Column 1 is labeled x with entries 25, 50, 75. Column 2 is labeled y with entries 5, 10, 15.
Which compares the slopes of the lines created by the tables?
The slope of the line for Restaurant B is One-fifth times greater than the slope of the line for Restaurant A.
The slope of the line for Restaurant B is 2 times greater than the slope of the line for Restaurant A.
The slope of the line for Restaurant B is 5 times greater than the slope of the line for Restaurant A.
The slope of the line for Restaurant B is 10 times greater than the slope of the line for Restaurant A.
9514 1404 393
Answer:
(b) The slope of the line for Restaurant B is 2 times greater than the slope of the line for Restaurant A.
Step-by-step explanation:
The slope of the relation for Restaurant A is ...
y/x = 1/10
The slope of the relation for Restaurant B is ...
y/x = 5/25 = 1/5 = 2×1/10
The slope of the line for Restaurant B is 2 times as great as the slope of the line for Restaurant A.
Prices are going up in the ratio 6:5 Write a 60% decrease as a ratio.
HELP PLSSSSSSSSSSSSSSSSSSSSS
Answer:
To Decrease an amount in a given Ratio, we need to multiply by a fraction that is less than one. For example, in scaling down a recipe for four people into a recipe for 3 people, we would use the ratio of 3 : 4 which means we would multiply all our recipe amounts.
Is 3 the coefficient of s/3?
The coefficient of s/3 is 1/3.
s/3 = (1/3)s
No, 3 is not the coefficient of s/3.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
s/3
This can be written as (1/3)s.
The coefficients of an equation are the non-zero values along with the variables.
Example:
ax² + bx + 3
The coefficients of this equation are a, and b.
The coefficient for the expression s/3 is 1/3.
Thus,
The coefficient of s/3 is 1/3.
s/3 = (1/3)s
No, 3 is not the coefficient of s/3.
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Molly needs to rent a car while on vacation. The rental company charges $19.95, plus 17 cents for each mile driven. If Molly only has $40 to spend on the car rental, what is the maximum number of miles she can drive?
Usually a company may charge a startup fee, is a charge for some things they need to do to start the service, in this case may just be paperwork, and it's $19.95, a fixed cost, and they're charging 17 cents or $0.17 for every mile driven, let's say that Molly is going to drive "m" miles, so the cost equation in "m" terms will be C(m) = 19.95 + 0.17m.
Now, we know she only has 40 bucks to spend, so, if she can keep her Cost to 40 bucks, how many miles can she go for?
[tex]C(m) = 19.95+0.17m\qquad \qquad \stackrel{\stackrel{cost}{\downarrow }}{40}=19.95+0.17m\implies 20.05=0.17m \\\\\\ \cfrac{20.05}{0.17}=m\implies 117.94\approx m[/tex]
now, if we were to round that up to whole miles, it'd be only 117.
Can someone help me with this please?
Answer:
0.5236 radians or 30 degrees
Step-by-step explanation:
We want to find the angle based on the opposite side and the hypotenuse. Therefore, we need to use the inverse sine function:
Θ = sin[tex]^{-1} (\frac{5}{10})[/tex]
Simplifying the function, we get:
Θ = sin[tex]^{-1} (\frac{1}{2})[/tex]
Inputting this into a calculator, we get Θ = 0.5236 radians or 30 degrees.
Step-by-step explanation:
sin θ = 5cm/10cm
sin θ = ½
sin θ = sin 30°
therefore, θ = 30°.
hope this helps you.
a store pays $26 for a lamp. The store marks up the price by 40%. What is the amount of the markup
Answer:
$10.4
Step-by-step explanation:
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Explain please :)
A golfer is hitting a ball up a hill. The height of the hill is represented by the function
y = 0.125x. The height of the ball is measured by the equation
y = –16x^2+56x. How much higher will the ball be when it lands than when it was initially hit?
Answer:
3.49 ft
Step-by-step explanation:
y = 0.125x
y = –16x^2 + 56x
Set the equations equal since the height of the hill
and the height of the ball must be the same
–16x^2 + 56x = 0.125x
Subtract 0.125x from both sides
–16x^2 + 55.875x = 0
Factor out x
x(–16x + 55.875) = 0
From the zero product rule
x = 0
and
–16x + 55.875 = 0
–16x = –55.875
Divide both sides by –16
x = 3.4921875
Diiference in height
3.4921875 - 0 = 3.4921875
3.49 ft
how would someone simplify 2√12xy^2
Which of the expressions are equivalent to the one below? Check all that apply. (8 + 3) + 4 O = A. (8 + 4) = 3 B. 8. (3 + 4) OC. (3 + 8) = 4 O 8) D. (3 + 4) : (8 + 4) SUBMIT
Answer:
C
Step-by-step explanation:
known by checking all the answers for chooses
What the difference between Infinity and undefined
Step-by-step explanation:
Infinity means that it has no end to something
And undefined means something can't be defined
Answer:
Undefined means, it is impossible to solve.
Infinity means, it is without bound.
The table shows that the ratio of boys to girls at Midtown Middle School is 3 to 4. Which classes have an equivalent ratio of boys to girls? Check all that apply. A math class with 12 boys and 16 girls.
An English class with 14 boys and 14 girls.
A science class with 15 boys and 20 girls.
A Spanish class with 20 boys and 15 girls.
A band class with 75 boys and 100 girls.
Answer:
Step-by-step explanation:
A math class with 12 boys and 16 girls, A science class with 15 boys and 20 girls and A band class with 75 boys and 100 girls have an equivalent ratio of 3 : 4.
What is Ratio?Ratio is a concept in mathematics used to compare two things.
It is denoted by a : b.
A ratio can be represented as fractions also like a/b.
In the question, it is given that the ratio of boys to girls is 3 to 4.
A math class with 12 boys and 16 girls = 12/16 = 3/4An English class with 14 boys and 14 girls = 14/14 = 1A science class with 15 boys and 20 girls = 15/20 = 3/4A Spanish class with 20 boys and 15 girls = 20/15 = 4/3A band class with 75 boys and 100 girls = 75/100 = 3/4Hence A math class with 12 boys and 16 girls, A science class with 15 boys and 20 girls and A band class with 75 boys and 100 girls have an equivalent ratio of 3 : 4.
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Henry was granted a loan of £96.00. The interest rate was 24% per annum. Calculate the interest at the end of the year
Answer:
110.00
Step-by-step explanation:
someone help please!!
Answer:
a - 145
b - 35
c - 145
d - 70
e - 70
f - 110
g - 55
h - 125
i - 55
j - 50
k - 50
l - 130
m - 50
n - 80
o - 50
p - 23
q - 89
r - 68
s - 157
t - 112
u - 48
v - 132
w - 132
x - 48
y - 48
z - 132
A - 48
B - 94
C - 86
D - 94
E - 47
F - 133
I NEED HELP ASAP NO LINKS
Answer:
d = y = 4.25x
correct answer i would say.
Step-by-step explanation:
Cheddar cheese cost 4.25 per pound . This means the cost of cheddar cheese is 4.25 for every pound in weight. Assuming we put a currency to the value we can say 1 pound of cheddar cheese is equals to 4.25 dollars($4.25). Mathematically, it can be represented as
4.25 is the cost for 1 pound of Cheddar cheese
Let the cost of the equation be y as required from the question.
y = cost of the cheddar cheese
x is the weight value in pounds of the Cheddar cheese.
The equation can be best represented as
y = 4.25x
In the equation above if the amount in pounds is 3 pound . the value will be inputted for x and the cost will be gotten which is y.
hope this helped!
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There is a puddle 1.4 cm deep in your backyard. After one minute of rain, the puddle was 1.45 cm deep. The puddle was 1.5 cm deep after it rained for two minutes. If the pattern continues, how deep will the puddle be after it rains for 45 min?
Answer:
I know answer. give me money I will tell everything..
Determine whether the relation represents a function.
{(-1, -1),(-2, -2), (-3, -3)}
Answer:
yes it determines a function
Step-by-step explanation:
has exactly 1 x value for every y value
g Find the average value of the sum of the squares of three numbers x, y, z, where each number is between 0 and 2
answer:
1
Step-by-step explanation:
#'s between zero and two = one
the only number between 0 and two is 1
x = 1 y = 1 z = 1
the average value of the sum of the squares of x, y and z = 1
1, 1, 1
the average is 1
Write an equation in slope-intercept form of the line shown.
What does cross-sectional mean
Answer:
exposed by making a straight cut through a solid form, especially at right angles to an axis.
"the cross-sectional area of the wood"
or
constituting a typical or representative sample of a larger group.
"a cross-sectional survey of high school students"
ig
helppppppppppppppppppppppppppppppppppp
Answer:
so the answer is bar graph..
Round 0.00359 to the nearest ten-thousandth.
Answer:
0.0036 !
Step-by-step explanation:
Give brainliest please :)
0.00359, when rounded to nearest thousandth results in 0.0036.
What is Rounding Off?Rounding off means a number is made simpler by keeping its value intact but closer to the next number. It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc. Rounding off numbers is done to preserve the significant figures.
Given, value to be rounded is : 0.00359
Since, 1 ten thousands = 10000 (104). So, 1 ten thousandth = 0.0001 (10-4)
Therefore, while rounding to nearest ten thousandth, we round the fractional part(or decimal part) upto 4 digits.
Here, In 0.00359, the digit after ten thousandth place is 9, which is (equal to or greater) than 5. So, 5 can be rounded to 6.
Hence, finally, 0.00359, when rounded to nearest thousandth results in 0.0036
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I need help as soon as possible please!!!!
Answer:
Which grade math is this? I haven't learned it
A particular type of fuel tank produced for a particular car model is designed to hold 30
liters. However, the actual capacity of a randomly chosen tank of this type is normally
distributed with mean 30 liters and standard deviation 0.5 liters. Suppose that of the cars
of the above model, 50 percent run 14.5km per liter, 30 percent run 14km per liter and 20
percent run 13.5km per liter under test condition.
i. If you buy a car of the above model, what is the probability that your car will run
more than 420km under test conditions, when tank is filled once?
ii. If a randomly selected car of the above model runs maximum distance of 420km
under test conditions, when the tank is filled once, what is the probability that this
car runs 14.5km per liter?
Answer:
23
Step-by-step explanation:
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can somebody help me plssssss
Answer:
They are equal, so =
Step-by-step explanation:
We know that one-half is .50. 3/2 is an improper fraction and when we solve to a decimal, we get 1.5.