Answer:
225
Step-by-step explanation:
A deposit is when you add money yo your bank account, so when there is a deposit , you would add
Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x + 6)? The graph of y = f(x) will shift up 6 units. The graph of y = f(x) will shift down 6 units. The graph of y = f(x) will shift left 6 units. The graph of y = f(x) will shift right 6 units.
Answer:
The graph of y = f(x) will shift left 6 units, as shown in figure a.
Step-by-step explanation:
A translation means we are able to move the graph of a function up or down - normally called Vertical Translation - and right or left - commonly called Horizontal Translation.
If we replace the graph of y = f(x) with the graph of y = f(x + 6). It means we have added 6 units to the input, meaning the graph y = f(x) will shift left by 6 units as 6 is being added directly to the x, so it is f(x + 6).
For example, if y = x² is the original function and of 6 is directly added to x i.e. f(x + 6), making it y = (x + 6)². So, we can easily observe that there will be a horizontal translation left of 8 units, as shown in figure a.
So, the graph of y = f(x) will shift left 6 units.
Keywords: graph shift, translation
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The graph of y = f(x) will shift left 6 units. The correct option is the third one.
Which is the effect of replacing the graph of y = f(x) with the graph of y = f(x + 6)?For any function y = f(x), we define an horizontal translation of N units as:
y = f(x + N)
Where if:
N > 0, the translation is to the left.
N < 0, the translation is to the right.
Here we have:
y = f(x + 6)
So this is a translation of 6 units to the left.
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What is 19,000 using exponents
Answer:
I think its 19,000/1
Step-by-step explanation:
I don't think there is any explanation :)
At noon a tank contains 6 cm of water after several hours it contains 3 cm of water what is the percent inecrease of water in the tank
Question:
At noon a tank contains 6 cm of water after several hours it contains 3 cm of water what is the percent decrease of water in the tank
Answer:
The percent Decrease of water in the tank is 50%
Step-by-step explanation:
Given:
Initial amount of water in the tank at the noon = 6 cm
amount of water remained in water after several hours = 3 cm
To Find:
The percent decrease =?
Solution:
The percent decrease in the tank
=>[tex]\frac{\text {water present after some hours }}{\text {initial water contained in the tank }} \times 100[/tex]
Substituting the values
=>[tex]\frac{3}{6} \times 100[/tex]
=>[tex]\frac{1}{2} \times 100[/tex]
=>[tex]\frac{100}{2}[/tex]
=> 50
The price of a train ticket consists of an initial fee plus a constant fee per stop.
The table compares the number of stops and the price of a ticket (in dollars).
Stops Price (dollars)
3 6.50
7 12.50
11 18.50
What is the initial fee?
The initial fee of a train ticket, given a constant fee per stop, can be calculated by finding the constant fee per stop and subtracting the total of this fee for a given number of stops from the total price for those stops. By this calculation, the initial fee is $2.50.
Explanation:To determine the initial fee that is related to the price of a train ticket, which consists of an initial fee plus a constant fee per stop, we should first calculate the cost per stop. We can do this by subtracting the price of a ticket for 3 stops from the price of a ticket for 7 stops. So, we get $12.50 - $6.50 = $6.00. We find the difference in the number of stops, which is 7 - 3 = 4 stops. Divide the total price difference by the difference in the number of stops to get the constant fee per each stop: $6.00 / 4 stops = $1.50 per stop. Now we know the constant fee for each stop, so we subtract that from the total price for 3 stops to find the initial fee: $6.50 - ($1.50 * 3) = $2.50. So, the initial fee is $2.50.
To find the initial fee, we need to determine the additional cost per stop. We can do this by using the formula y = mx + b, where y represents the price of the ticket, x represents the number of stops, m represents the constant fee per stop, and b represents the initial fee.
Using the given data, we can set up two equations using the points (3, 6.50) and (7, 12.50).
By subtracting these two equations, we can determine the value of b, which represents the initial fee. Thus, the initial fee is $3.
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Let p = 5. Enter > , < , or = to compare the expressions. 4p4 2p−3
Answer:
The given expression at p = 5 can be written as:
[tex]4(p^4) > 2p -3[/tex]
Step-by-step explanation:
Here, the given expressions are:
[tex](4p^4 ), (2p-3)[/tex]
Now, substitute the value of p = 5 in both the given expressions, we get:
[tex]4(p^4) = 4(5^4) = 4 (625) = 2,500\\\implies 4(p^4) = 2,500[/tex]
Similarly,
[tex](2p-3) = 2(5) - 3 = 10 -3 = 7\\\implies 2p - 3 = 7[/tex]
So,now comparing both the values at p = 5, we get:
2,500 > 7
[tex]\implies 4(p^4) > 2p -3[/tex]
Hence, the given expression at p = 5 can be written as:
[tex]4(p^4) > 2p -3[/tex]
solve -2-2(-7+b)=-8b+24
Answer:
b = 2Step-by-step explanation:
[tex]-2-2(-7+b)=-8b+24\qquad\text{use the distributive property}\\\\-2+(-2)(-7)+(-2)(b)=-8b+24\\\\-2+14-2b=-8b+24\qquad\text{combine like terms}\\\\(-2+14)-2b=-8b+24\\\\12-2b=-8b+24\qquad\text{subtract 12 from both sides}\\\\12-12-2b=-8b+24-12\\\\-2b=-8b+12\qquad\text{add}\ 8b\ \text{to both sides}\\\\-2b+8b=-8b+8b+12\\\\6b=12\qquad\text{divide both sides by 6}\\\\\dfrac{6b}{6}=\dfrac{12}{6}\\\\b=2[/tex]
Alexis is saving to buy a laptop that’s costs $1,100. So far she has saved $400. She makes $12 an hour babysitting. What’s the least number of hours she needs to work in order to reach her goal?
Answer:
60 I think
Step-by-step explanation:
1100-400=700 12×60=720
59 hours
She has to save $700
What is 28/185 in simplest form
What is 28/185 in simplest form
Answer:
0.1513...
Step-by-step explanation:
How many days is 45% of 31 days
Answer:
45% of 31 days is 13.95 days, theres your answer.
What is the slope of the line perpendicular to the line y = -3/4x + 1?
A) -4/3
B) -3/4
C) 3/4
D) 4/3
Answer:
the answer is D.) 4/3
Step-by-step explanation:
when you look for a slope that is perpendicular to the slope you are given you take the reciprocal and change the sign
Answer:
4/3
Step-by-step explanation:
Because perpendicular means negative reciprocal.
Write an equation in point slope form for the line through the given point and the given slopes
(10,-9); m=-2
Please see the attachment below.
All the information is in the problem you just have to format it into an equation.
Point slope form: [tex]y_{2}- y_{1}=m(x_{2}- x_{1})[/tex] where "m" is the slope.
The equation would look like...
y+9=-2(x-10)
What is the constant of proportionality in the equation y=3xy=3xy, equals, 3, x?
Answer:
k=3
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]k=\frac{y}{x}[/tex] or [tex]y=kx[/tex]
In this problem we have
[tex]y=3x[/tex]
therefore
The constant of proportionality is k=3
Answer:
k=3
Step-by-step explanation:
i went on knan and it worked
Round 62.276 to the nearest hundredth
Answer:
62.28
Step-by-step explanation:
Pls help to solve I don't know what is answer
Answer:
2020
Step-by-step explanation:
This is an example of what is called an "infinite continued fraction".
For the repeated fraction:
y = 2019 / (2 + 2019 / (2 + 2019 / (2 + 2019 / ...
We can rewrite using substitution:
y = 2019 / (2 + y)
Solving for y:
y (2 + y) = 2019
2y + y² = 2019
y² + 2y + 1 = 2020
(y + 1)² = 2020
y + 1 = ±√2020
y = -1 ± √2020
Since the repeated fraction must be positive, y = -1 + √2020.
Therefore:
x = (1 + y)²
x = (1 + -1 + √2020)²
x = 2020
Assume you drink eight sodas per week & they cost $1.59
each. How much money can you accumulate over the course of
a year if you opt to save the money instead?
The money can you accumulate over the course of a year if you opt to save the money instead will be $82.68.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
It is also known as the product. If the object n is given to m times then we just simply multiply them.
Assume you drink eight sodas per week & they cost $1.59 each.
We know that there are 52 weeks in a year.
The money can you accumulate over the course of a year if you opt to save the money instead will be
⇒ $1.59 × 52
⇒ $82.68
The money can you accumulate over the course of a year if you opt to save the money instead will be $82.68.
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find the linear regression equation for the transformed data?
(1, 13) 1.114
(2, 55) 1.740
(3, 349) 2.543
(4, 2407) 3.381
(5, 16, 813) 4.226
Answer:
y = 0.7865x + 0.2413
Step-by-step explanation:
[tex]\begin{array}{rrc}\mathbf{x} & \mathbf{y} & \mathbf{\log(y)}\\1 & 13 & 1.114\\2 & 55 & 1.740\\3 & 349 & 2.543\\4 &2407 & 3.381\\5 &16813 & 4.226\\\end{array}[/tex]
I plotted both your original and transformed data in Excel and asked it to display the regression equation for the transformed data.
Your original data are the blue line plotted against the left-hand axis.
Your transformed data are the red line, plotted against the right-hand axis.
The linear regression equation is
y = 0.7865x + 0.2413
The answer is y = 0.7865x + 0.2413
The Linear regression equation for the transformed data:
We transform the predictor (x) values only. We transform the response (y) values only. We transform both the predictor (x) values and response (y) values.
Find the linear regression equation for the transformed data?
(1, 13) 1.114
(2, 55) 1.740
(3, 349) 2.543
(4, 2407) 3.381
(5, 16, 813) 4.226
X Y Log(y)
1 13 1.114
2 55 1.740
3 349 2.543
4 2407 3.381
5 16813 4.226
The linear regression equation is y = 0.7865x + 0.2413
The graph is plotted below:
Original data are the blue line plotted against the left-hand axis and transformed data are the red line, plotted against the right-hand axis.
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the length of the top of a rectangular desk is 24inches more than the width. What are the dimensions of the desk if the area of the top is 1,620 square inches?
Answer:
The dimensions of the desk are
Length: 54 inches
Width: 30 inches
Step-by-step explanation:
we know that
The area of rectangle is equal to
[tex]A=LW[/tex]
where
L is the length
W is the width
we have
[tex]A=1,620\ in^2[/tex]
so
[tex]1,620=LW[/tex] ----> equation A
[tex]L=W+24[/tex] ----> equation B
substitute equation B in equation A
[tex]1,620=(W+24)W[/tex]
solve for W
[tex]1,620=W^2+24W[/tex]
[tex]W^2+24W-1,620=0[/tex]
Solve the quadratic equation by graphing
The solution is W=30 in
see the attached figure
Find the value of L
[tex]L=30+24=54\ in[/tex]
therefore
The dimensions of the desk are
Length: 54 inches
Width: 30 inches
the circumference of a circle is 18.41 feet. WHat is the approximate length of the radius.
Answer:
The answer can be calculated by doing the following steps;
Step-by-step explanation:
Answer:
The approximate length of the radius is 3 feet
Step-by-step explanation:
Given:
circumference of a circle = 18.41 feet
To Find:
approximate length of the radius = ?
Solution:
Let the radius of the circle be r
We know that the circumference of the circle C is given by the formula
C =[tex]2 \pi R[/tex]
Substituting the values, we get
18.41 =[tex]2\times \pi \times R[/tex]
Rearraning the above equation we get
R=[tex]\frac{14.41}{ 2\times \pi}[/tex]
R=[tex]\frac{18.41}{6.28}[/tex]
R= 2.93
R= 3 (approx)
What is the prescribed dosage of a certain medicine for a child 4 years old, if the adult dosage of the medicine is 180 milligrams? Round to the nearest whole number
Answer:
40 mg
Step-by-step explanation:
Given,
The prescribed dosage the medicine for an adult = 180 milligrams,
Since, the minimum age of an adult = 18 years,
So, the prescribed dosage of the medicine for 18 years old person = 180 milligrams,
Thus, the ratio of prescribed dosage of medicine ( in mg ) and age of person ( in years ) = [tex]\frac{180}{18}[/tex]
Suppose prescribed dosage of a certain medicine for a child 4 years old is x mg,
So, ratio of prescribed dosage of medicine and age = [tex]\frac{x}{4}[/tex]
[tex]\frac{x}{4}=\frac{180}{18}[/tex]
[tex]\frac{x}{4}=10[/tex]
[tex]\implies x = 4\times 10 = 40[/tex]
Hence, the prescribed dosage of a certain medicine for a child 4 years old would be 40 mg.
Use the key features of the polynomial f(x) = -9x3 + 8x2 - 16x + 3 to describe its end behavior.
The left side continues up, and the right side continues up.
The left side continues down, and the right side continues down.
The left side continues up, and the right side continues down.
The left side continues down, and the right side continues up
Answer:
The left side continues up, and the right side continues down.
Step-by-step explanation:
[tex]f(x) = -9x^3 + 8x^2 - 16x + 3[/tex]
To find the end behavior, determine the highest degree and leading coefficient
Highest degree is 3 and leading coefficient is -9
highest degree 3 is odd and leading coefficient is negative
As x->-infinity , y -> infinity
As x->infinity , y ->-infinity
The left side continues up, and the right side continues down.
Answer:
Correct answer is C.
Step-by-step explanation:
Someone please help!
If r and p are perpendicular:
1 + 2 = 90°
3 = 90°
4 + 5 = 90°
6 = 90°
If any one of these are true, r and p must be perpendicular
Answer:
Yes
Step-by-step explanation:
First you will have to find out the scale
Then you will find out the numbers that are
Perpendicular
What is g + 11 >_ -1
Answer:
g>=-12
Step-by-step explanation:
g+11>=-1
g>=-1-11
g>=-12
What is the length of jy?
A. 4.5
B. 18
C. 6
D. 3
Answer:
D.3
Step-by-step explanation: The full line is equivelent to 3 if you look
Anita is filling a small pool for her kids. Currently, there are 60 gallons of water in the pool and she is filling the pool at a rate of 50 gallons every 5 minutes. The pool holds 200 gallons of water.
Which equation represents the amount of minutes ( m) that it will take to fill the pool?
The equation which represents the amount of minutes.m that it will take to fill the pool is 200 = 60 + 10m
Which equation represents the amount of minutes ( m) that it will take to fill the pool?
Let
m = amount of minutes that it will take to fill the pool
Gallons of water in the pool = 60 gallons
Capacity of the pool = 200 gallons
Additional gallons added per minutes = 50 gallons / 5
= 10 gallons per minutes
The equation:
200 = 60 + 10m
200 - 60 = 10m
140 = 10m
Divide both sides by 10
m = 140/10
m = 14 minutes
Therefore, it takes Anita 14 minutes to fill the pool.
An employee earns $175 for 15 hours work.
Find the constant of variation.
[tex]\text{The constant of variation is a fancy word for rate of change}\\\\\text{You're trying to find the rate of change in this scenario, which would}\\\text{be your constant of varaition}\\\\\text{To find this, we need to know how much he makes each hour}\\\\\text{Find this by dividing 175 by 15:}\\\\175\div15= 11.666\\\\\text{Round to the nearest hundredths}\\\\11.67\\\\\boxed{\text{Constant of variation: 11.67}}[/tex]
Based on the information given the constant of variation is 11.67.
Using this formula
Constant of variation=Amount earned/Time
Where:
Amount earned=$175
Time=15 hours
Let plug in the formula
Constant of variation=$175/15
Constant of variation=11.66
Constant of variation=11.67 (Approximately)
Inconclusion the constant of variation is 11.67.
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what is the quotient of the pic
Answer:
256
Step-by-step explanation:
Answer:
Step-by-step explanation:he rate of return on Karen investment is 10%. Explanation: Given that. Bought price = P = $78500. Sale price = S =$850,000.
find the quotient of 1,644 and 4 mentally using place value
Answer:
411
1000 is divisible by 4, 600 is divisible by four, and 44 is divisible by for: add up you get 250+150+11
Step-by-step explanation:
411
Using place value, the quotient of 1,644 and 4 is: 411.
How to find Quotient using Place ValueTo find the quotient of two numbers, break down the dividend according to it's place value in tens, hundreds, and thousands where necessary.Given the dividend, 1,644, to divide it by the divisor, 4, break down 1,644 using place value, and divide by 4 separately.
1,644/4 = (1,000 ÷ 4) + (600 ÷ 4) + (44 ÷ 4)
1,644/4 = (250) + (150) + (11)
1,644/4 = 411
Therefore, using place value, the quotient of 1,644 and 4 is: 411.
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the slope of y+4=3/5(x-7
Answer:
3/5
Step-by-step explanation:
Answer:
slope = [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y + 4 = [tex]\frac{3}{5}[/tex](x - 7) ← is in point- slope form
with slope m = [tex]\frac{3}{5}[/tex]
Willie sold 2 rolls of plain and 2 rolls of shiny for a total of $80. Arjun sold 8 rolls of plain and 10 rolls of shiny for a total of $360. What is the cost of each kind
One roll of plain costs $20 and one roll of shiny costs $20 also.
Step-by-step explanation:
Let,
Cost of one roll of plain = x
Cost of one roll of shiny = y
According to given statement;
2x+2y=80 Eqn 1
8x+10y=360 Eqn 2
Multiplying Eqn 1 by 4
[tex]4(2x+2y=80)\\8x+8y=320\ \ \ Eqn\ 3[/tex]
Subtracting Eqn 3 from Eqn 2
[tex](8x+10y)-(8x+8y)=360-320\\8x+10y-8x-8y=40\\2y=40[/tex]
Dividing both sides by 2
[tex]\frac{2y}{2}=\frac{40}{2}\\y=20[/tex]
Putting y=20 in Eqn 1
[tex]2x+2(20)=80\\2x+40=80\\2x=80-40\\2x=40[/tex]
Dividing both sides by 2
[tex]\frac{2x}{2}=\frac{40}{2}\\x=20[/tex]
One roll of plain costs $20 and one roll of shiny costs $20 also.
Keywords: linear equation, elimination method
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Luke sells you cars for $12 each. His expenses are $3.50 per car, plus $34 for tools. How many cars must he sell for his revenue to equal his expenses?
Answer:
Step-by-step explanation:
x = number of cars
12x = 3.50x + 34
12x - 3.50x = 34
8.5x = 34
x = 34/8.5
x = 4 <=====he would have to sell 4 cars
In this case, Luke must sell [tex]\(\boxed{4}\)[/tex] cars for his revenue to equal his expenses.
To determine how many cars Luke must sell for his revenue to equal his expenses, let's define the variables and set up the equation.
Let x be the number of cars Luke sells.
Revenue:
Luke sells each car for $12, so his revenue for selling x cars is:
[tex]\[ \text{Revenue} = 12x \][/tex]
Expenses:
Luke's expenses include $3.50 per car and a fixed cost of $34 for tools. So his total expenses for x cars are:
[tex]\[ \text{Expenses} = 3.50x + 34 \][/tex]
We need to find the number of cars x such that his revenue equals his expenses:
12x = 3.50x + 34
To solve for x subtract 3.50x from both sides:
12x - 3.50x = 34
8.50x = 34
Now, divide both sides by 8.50:
[tex]\[ \text{Expenses} = 3.50x + 34 \][/tex]
x = 4
Therefore, Luke must sell [tex]\(\boxed{4}\)[/tex] cars for his revenue to equal his expenses.