Answer:
49
Step-by-step explanation:
98-x2=0
-98 -98
[tex]\frac{x2}{2}[/tex] [tex]\frac{98}{2}[/tex]
49
Maggie's brother is 4 years younger than four times her age. The sum of their ages is 31.
How old is Maggie?
HELP ME QUICK PLEASEE!!
4. (03.03 HC)
The table shows the outputs, y, for different inputs, x:
Input (x) 3 4 5 6
Output (y) 3 4 5 6
Part A: Do the data in this table represent a function? Justify your answer. (3 points)
Part B: Compare the data in the table with the relation f(x) - 2x + 16. Which relation has a greater value when x = 6? (2 points)
Part C: Using the relation in Part B, what is the value of x if f(x) - 40? (5 points)
(10 points)
Answer:
A) is a function
B) f(x) is greater
C) x = 12
Step-by-step explanation:
A) Yes, the relation is a function.
A function has a unique input value for each output value. There are no repeated x-values, so this relation is a function.
__
B) The table says y=6 for x=6.
f(6) = 2(6)+16 = 28
f(x) has a greater value for x=6.
__
C) Substituting the given information, we have ...
40 = 2x +16
24 = 2x
12 = x
The value of x is 12 when f(x) is 40.
Henry sends his hawk with a message to his uncle. The hawk flies out against the wind and returns with the wind, spending 3 hours on the whole trip. How far is Henry's uncle from Henry if the speed of the wind is 5 mph, and the hawk flies 50 mph in quiet weather?
Answer:
Distance between Henry and his uncle is 74.25km.
Step-by-step explanation:
Speed of Hawk with wind = 50+5
=55km/hr
Speed of Hawk against wind = 50-5
=45km/hr
we know that ,
[tex]Distance = speed \times time[/tex]
Let the distance between Henry and uncle is d,
According to the question ,
[tex]\frac{d}{55} + \frac{d}{45} = 3[/tex]
[tex]\frac{9d + 11d}{495} =3[/tex]
[tex]20d = 3\times 495[/tex]
[tex]d =\frac{3\times495}{20}[/tex]
d= 74.25km
Hence , the answer is 74.25km
The relation between speed, time, and distance is used. Then the distance between Henry's uncle from Henry is 74.25 miles.
What is speed?The distance covered in an hour is called speed. it is a scalar quantity.
What is relative speed?The concept of relative speed is used when two or more bodies moving with some speed are considered.
Henry sends his hawk with a message to his uncle.
The hawk flies out against the wind and returns with the wind, spending 3 hours on the whole trip.
We know the relation
[tex]\rm speed = \dfrac{distance }{time}[/tex]
Let the distance between Henry's uncle from Henry be x.
The time of the trip is during the traveling remains constant. That is
[tex]\rm T = T_1 + T_2\\\\T = \dfrac{x}{v_1} + \dfrac{x}{v_2}[/tex]
The speed of the wind is 5 mph, and the hawk flies 50 mph in quiet weather. Then we have
[tex]\rm v_1 = 50 - 5 = 45\\\\v_2 = 50 + 5 = 55[/tex]
Then
[tex]\begin{aligned} \rm \dfrac{x}{45} + \dfrac{x}{55} &= 3\\\\\rm \dfrac{9x + 11x }{495} &= 3\\\\\rm 9x + 11x &= 1485\\\\\rm 20x &= 1485\\\\\rm x &= 74.25 \end{aligned}[/tex]
Thus, the distance between Henry's uncle from Henry is 74.25 miles.
More about the speed link is given below.
https://brainly.com/question/862972
please i need this now
6. Melanie ran the 400-meter dash six times during track practice. Her times
are shown in the table to the left. If she drops her slowest time, which
measure of center is affected the most, mean or median? Explain.
the table to the left
400-Meter Dash
Attempt Time (s)
1 63.5
2 67.9
3 64.3
4 63.6
5 65.4
6 64.7
2nd question
Directions: Determine which measure of center best represents the data.
Justify your selection, then find the measure of center.
7. The number of wins by a hockey team in the last 8 years: {56, 45, 26, 48, 54,
52, 49, 38} Mean or Medan or Mode
Answer:
(a) Mean
(b) Mean
Step-by-step explanation:
(a) Mean is influenced by two things, occurrence and difference in values. Mode is influenced by one thing only, occurrence. Median is positional in rank order so only indirectly influenced by value.
(b) The mean is the most accurate way of deriving the central tendencies of a group of values, not only because it gives a more precise value as an answer, but also because it takes into account every value in the list.
PLZ HELP 100PTS!!! An explanation is welcome
Find the value of t, when d(t)=-24
d(t)=t/2
Answer:
[tex]t=-48[/tex]
Step-by-step explanation:
We have the function:
[tex]d(t)=\frac{t}{2}[/tex]
And we want to find t when:
[tex]d(t)=-24[/tex]
So, let's substitute -24 for our first equation and solve for t:
[tex]-24=\frac{t}{2}[/tex]
Multiply both sides by 2:
[tex]t=-48[/tex]
So, the value of t when d(t)=-24 is -48.
Answer:
Step-by-step explanation:
please help me
find dy/dx using implicit differentiation
e^((x+y)/4) +tan(ln(x/y)) = e^sqrt(y)
Step-by-step explanation:
Taking log both sides :
[tex]( \frac{x + y}{4} ) + \tan( ln( \frac{x}{y} ) ) = \sqrt{y} [/tex]
Differentiate both sides w.r.t x :
[tex] \frac{1}{4} + \frac{1}{4} \frac{dy}{dy} + {sec}^{2} ( ln\frac{x}{y} ) + \frac{y}{x} + \frac{1}{y} - \frac{x}{ {y}^{2} } = \frac{1}{2 \sqrt{y} } \frac{dy}{dx} [/tex]
Rearranging :
[tex]( \frac{4 - 2 \sqrt{y} }{8 \sqrt{y} }) (\frac{1}{4} + {sec}^{2} ( ln\frac{x}{y} ) + \frac{y}{x} + \frac{1}{y} - \frac{x}{ {y}^{2} }) = \frac{dy}{dx} [/tex]
(You can rearrange it further)
Can someone explain how to solve these? I have 10 questions I need to answer for problems like this & I can't go on until I solve it, so I just need the answer for this one and how to solve it. I need it finished fast because I need to bring up a low grade. Any help would be appreciated.
You place a billiard cue against a billiard table. The foot of the billiard cue is 15 cm away from the table and the top of the billiard cue touches the table at a point 60 cm off the ground. What is the slope of the billiard cue?
Answer:
-4Step-by-step explanation:
The billiard cue is 15 cm away from the table
This refers to coordinates of (15, 0)The billiard cue touches the table at a point 60 cm off the ground
This refers to coordinates of (0, 60)The slope is as per slope formula;
m = (60 - 0)/(0-15) = 60/ -15 = -4Thea answer is -4
Answer:
-4
Step-by-step explanation:
The foot of the billiard cue is 15 cm away from the table can be represented by the point (15, 0).
The top of the billiard cue touches the table at a point 60 cm off the ground can be represented by the point (0, 60)
The slope formula can be solve with the formula [ y2-y1/x2-x1 ]
60-0/0-15
60/-15
-4
Best of Luck!
Retailers will buy 45 Wi-Fi routers from a wholesaler if the price is $10 each but only 20 if the price is $85. The wholesaler will supply 56 routers at $46 each and 70 at $50 each. Assuming that the supply and demand functions are linear, find the market equilibrium point.
what is the length of AC
Answer:
13
Step-by-step explanation:
count A up to C
pls help rn if possible
Answer:
I would type these in Math-Way, then select Solve the system of equations (or inequalities, I forget which one). (4, -1, 0) would be the answer.
While working out, Susie does 25 sit-ups for every 12 push-ups. If she does 60 push-ups, how many sit-ups will she do?
Answer:
125 situps
Step-by-step explanation:
We can use a ratio to solve
25 situp x situps
--------------- = --------------
12 pushup 60 pushups
Using cross products
25 * 60 = 12x
Divide each side by 12
25*60/12 = 12x/12
125 = x
Convert 10 feet into yards. Round your answer to the nearest hundredth.
Answer:
3.33 Yards
Step-by-step explanation:
divide 10 by 3
Step by step of how to find f(g(x)) and g(f(x))
Answers:
[tex]f(g(x)) = \sqrt[3]{\frac{x+1}{x^3}}\\\\\\g(f(x)) = \frac{\sqrt[3]{x}+1}{x}[/tex]
===============================================
Work Shown:
[tex]f(x) = \sqrt[3]{x}\\\\\\f(g(x)) = \sqrt[3]{g(x)}\\\\\\f(g(x)) = \sqrt[3]{\frac{x+1}{x^3}}\\\\\\[/tex]
The idea is to replace every x with g(x). Then you'll plug in the definition of g(x).
---------------------------------
Similarly,
[tex]g(x) = \frac{x+1}{x^3}\\\\\\g(f(x)) = \frac{f(x)+1}{(f(x))^3}\\\\\\g(f(x)) = \frac{\sqrt[3]{x}+1}{(\sqrt[3]{x})^3}\\\\\\g(f(x)) = \frac{\sqrt[3]{x}+1}{x}\\\\\\[/tex]
solve each inequality and graph the solutions , ILL MARK BRAINLIST !!!!
Answer:
m>6
Step-by-step explanation:
5) Boat World charges an initial price of $20 plus $12.50 per hour for canoe rentals, which is
represented by the expression 20 + 12.5h.
• Complete each statement to describe the terms.
Answer:
The variable "h" represents: The number of hours
The constant 20 represents: the initial rental price
The variable term 12.5h represents: the hourly rental amount
Step-by-step explanation:
is 1.36 a rational number or irrational number
Answer:
No an irrational number
Step-by-step explanation:
An irrational number is a number that cannot be expressed as a fraction of two integers . -1.36 can be expresed as -136/100
Answer:
Rational!
Step-by-step explanation:
Any number that can be written in fraction form is a rational number. This includes integers, terminating decimals, and repeating decimals as well as fractions. So, any terminating decimal is a rational number. Any decimal number that is repeating can be written in the form a/b with b not equal to zero so it is a rational number.
I hope this helps you understand what a rational number is! Have a wonderful day!
Find the equation of the line
passing through the points. (5, 2) and (10, 6).??
2c + y = 7 solve for y
Answer:
y = 7 - 2c
Step-by-step explanation:
Step 1:
2c + y = 7 Equation
Step 2:
y = 7 - 2c Subtract 2c on both sides
Answer:
y = 7 - 2c
Hope This Helps :)
Answer:
y = 7 - 2c
Step-by-step explanation:
2c + y = 7
=> y = 7 - 2c
In Earnest's Yard, the grass grew 2 inches. The next week, Earnest cut 2 inches off of the grass. The total change was 0 inches. Which of the following situations also has a total change of 0?
Answer:
7-7 = 0
Step-by-step explanation:
Sandy brought different toys from the market, she divided the seven toys into seven children , now she has a total of zero toys left
Total toys left = 7 - 7
Total toys left = 0
Ten years ago, Lisa bought a hair salon for 182000 dollars. She built up the business and it is now
worth nine times what she paid for it. She decides to sell half of the business to a friend, and they
become partners. Express the amount Lisa's friend must pay Lisa to buy half the business.
Answer: 819,000
Step-by-step explanation:
182000×9=1638000÷2=819000
Lisa's friend must pay Lisa $819,000 to become her partner in the business, half the worth of Lisa's business today.
What do we mean by the worth of an object?The worth of an object is the price of that object currently. The worth of almost every object in this world is variable (not fixed) with time and use.
How do we solve the given question?In the question, we are said that ten years ago, Lisa bought a hair salon for $182,000. Her business is now worth nine times what she paid.
∴ Worth of the business 10 years ago = $182,000.
Worth of the business now = 9*$182,000 = $1,638,000
We have been informed that Lisa has decided to sell half of her business to a friend. We are asked to find the amount her friend needs to pay, to become her partner.
As we have been told, she is selling half of her business, her friend will need to pay half of her business' worth at the present date.
∴ Her friend pays the amount = 1/2 * worth of the business now
or, Her friend pays the amount = 1/2 * $1,638,000
or, Her friend pays the amount = $819,000.
∴ Lisa's friend must pay Lisa $819,000 to become her partner in the business, half the worth of Lisa's business today.
Learn more about the worth of an object at
https://brainly.com/question/1877466
#SPJ2
−18x+21>−15 OR 20x−13≥27
Answer:
I dont know what is your question, but I solved this.
Step-by-step explanation:
-18x>-15-21
-18x>-36
x<2
20x>=27+13
20x>=40
x>2
Brad has groups of 10 pennies. Brad counts 40, but he has 6 more stacks to count. How many pennies does he have? Explain your answer to a family member or friend
Answer:
100 pennies
Step-by-step explanation:
each stack is 10 pennies. brad has 4 stacks which equal 40 and has 6 more stack which qual 60. 40+60=100
The number of pennies he has is 100 pennies.
Given,
Brad has groups of 10 pennies.
Brad counts 40, but he has 6 more stacks to count.
We need to find how many pennies he has.
How do we find the total number of given groups?If each group has 20 items the total number of items for M groups is:
= M x 20
We multiply the total number of groups with the number of items in each group.
We have,
1 group = 10 pennies
Brad counts 40 and 6 more stacks to go.
This means 4 groups have been counted.
= 4 x 10
= 40 pennies
Now 6 more stacks:
= 6 x 10
= 60 pennies
Now,
Total number of pennies:
= 40 + 60
= 100 pennies
Thus the number of pennies he has is 100 pennies.
Learn more about percentage errors in counting pennies here:
https://brainly.com/question/14277927
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round 649,418 to the nearest hundred
Answer:
649,400
Step-by-step explanation:
Answer:
649,420
Step-by-step explanation:
Three swimmers competed in a race.
Karen finished 4.367 seconds ahead of Mary.
Brenda finished in 35.04 seconds.
Brenda finished 2.45 seconds behind Mary.
What was Karen’s finish time?
Answer:
33.123
Step-by-step explanation:
Brenda is at 35.04 seconds which is 2.45 seconds behind Mary so Mary is at 37.49 seconds.
Karen is ahead of Mary by 4.367 seconds which means she is at 33.123
Find the distance between the points (-4,0) and (2,1). If necessary,round to the nearest 10th.
Answer:
square root of 37
Step-by-step explanation:
you would use the formula (X2-X1) squared + (Y2-Y1) squared
Rita charges $50 for 5 tutoring sessions. What is the cost per session?
Answer:
10
Step-by-step explanation:
Answer:
10$
Step-by-step explanation:
If she charges 50$ per 5 session then you need to do is
50 ÷ 5 = 10
Why?
Because you can to break it down to one session.
Simultaneous Equations
2x+3y=3750, 4x+y=4250
The answer is x=900 and y=650
I just need the steps
Answer:
It's long but you use Substitution!
Step-by-step explanation:
Let's solve your system by substitution.
2x+3y=3750;4x+y=4250
Rewrite equations:
4x+y=4250;2x+3y=3750
Step: Solve 4x+y=4250 for y:
4x+y = 4250
4x+y+−4x = 4250+−4x (Add -4x to both sides)
y = −4x+4250
Step: Substitute −4x+4250 for y in 2x+3y = 3750:
2x+3y=3750
2x+3(−4x+4250)=3750
−10x+12750=3750 (Simplify both sides of the equation)
−10x+12750+−12750=3750+−12750 (Add -12750 to both sides)
−10x =−9000
−10x = −9000 (Divide both sides by -10)
−10 −10
x=900
Step: Substitute 900 for x in y = −4x+4250:
y=−4x+4250
y=(−4)(900)+4250
y=650 (Simplify both sides of the equation)
Answer:
x=900 and y=650
The perimeter of a rectangular solar panel is 540 cm. The ratio of the length to the width is 3 : 2. What are the length and width?
Total number of parts = 3 + 2 = 5 parts
[tex]each \: part \: = \frac{(540 \div 5)}{2} \: m[/tex]
[tex] \\ each \: part \: = \frac{108}{2} m \: \\ \\ each \: part \: = 54 \: m[/tex]
Then , the length of this triangle :
[tex]54 \times 3 \: m[/tex]
[tex] = 162 \: m[/tex]
Then , the width of this triangle will be :
[tex]54 \times 2 \: m[/tex]
[tex]108 \: m[/tex]
∴ The length of this rectangle is 162 m and the width of this rectangle is 108 m .
A right triangle has hypotenuse with length 8 inches. If one leg is 5 inches long, how long is the other leg?
Using Pythagoras theorem,
[tex]\sf a^2 + b^2 = c^2[/tex]
Where [tex]\sf a[/tex] and [tex]\sf b[/tex] are the two legs of the triangle, and [tex]\sf c[/tex] is the Hypotenuse.
Putting the given values:
[tex]\sf 5^2 + b^2 = 8^2 \\ \longrightarrow \sf b^2 = 64 - 25 \\ \longrightarrow \sf b^2 = 39 \\ \longrightarrow \sf b = \sqrt{39}\:\:inches[/tex]
Hence, the length of the other leg is,
[tex]\leadsto \underline{\boxed{\mathfrak{\pink{\sqrt{39}\:\:inches}}}}[/tex]