Answer:
C.
y = 2 + 6r^4
Step-by-step explanation:
C.
y = 2 + 6r^4
Since this exponent is raised to a power, it is non-linear
You practice playing your guitar every day. You spend 15 minutes practicing chords and the rest of the time practicing a new song. So the total number of minutes y you practice for the week is given by y=7(15+x), where x is the number of minutes you spend on practicing a new song. Solve the equation for x.
Answer:
x=(y-105)/7Step-by-step explanation:
Given that the total time taken to practice is given by the expression as
y=7(15+x)
Simplifying the expression we have
y=105+7x
Solving for x (that is making x subject of formula we have)
7x=y-105
Divide both sides by 7 we have
x=(y-105)/7
Therefore the expression is
x=(y-105)/7
Write an equation of the line passing through point P(4,−6) that is perpendicular to the line y=−3.
x=
Answer:
ummm im sorry i will answer in the comments
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
if you plot y= -3 and the point (4,-6) you will see that the only answer can be x=4
Determine the mass of a solid steel ball that has a diameter of 10 cm. The density of pure steel is 8.09 g/cm3
Answer:
The mass of the steel ball is 4,235.9 gr
Step-by-step explanation:
Density
The density ρ of a substance is a measure of its mass per unit volume:
[tex]\displaystyle \rho=\frac{m}{V}[/tex]
If the density and the volume are given, the mass can be calculated by solving the above formula for m:
[tex]m=\rho.V[/tex]
We know the density of pure steel ρ=8.09 gr/cm3 and the diameter of a solid steel ball d=10 cm.
We need to calculate the volume of the sphere:
The volume of a sphere of radius r is given by:
[tex]\displaystyle V=\frac{4}{3}\cdot \pi\cdot r^3[/tex]
The radius is half the diameter: r= 10/2 = 5 cm. Thus:
[tex]\displaystyle V=\frac{4}{3}\cdot \pi\cdot 5^3[/tex]
Calculating:
[tex]V=523.6\ cm^3[/tex]
The mass is:
[tex]m=8.09 gr/cm^3 \cdot 523.6\ cm^3[/tex]
m=4,235.9 gr
The mass of the steel ball is 4,235.9 gr
Steve invested money in the stock market. In the first year, his stock increased 50%. He paid his stockbroker $350 and then lost $400. He withdrew $300, and then his remaining investment doubled. Steve's investment is now worth $8100. How much was Steve's original investment?
Answer:
Original amount invested = $3400 .
Step-by-step explanation:
Let the original investment of Steve = $x
Stock increased in the first year = 50% of amount invested
Therefore total amount after one year = x + 0.5x = 1.5x
Commission paid to the stock broker = $350
Amount lost by him = $400
Amount withdrawn by him = $300
Total amount decreased from the amount after 1 year
= 1.5x - (350 + 400 + 300)
= 1.5x - 1050
This remaining amount is doubled, so the final amount
= 2(1.5x - 1050)
= 3x - 2100
This final amount is equal to $8100
3x - 2100 = 8100
3x = 8100 + 2100
3x = 10200
x = $3400
Therefore original amount invested in the stock market was $3400 .
Brady is currently repaying a college loan. Each month, the loan company automatically deducts $45 from his bank account. So far, Brady has been repaying his loan for 12 months. How much, in dollars, have the loan deductions affected his bank account after making 12 months of payments?
Answer:
-540 dollars
Step-by-step explanation:
-45*12= -540
Find the value of x and m
Answer:
x=5 m=3
Step-by-step explanation:
select the statement that is true.
0.688 0.602
0.688 = 0.602
0.602 > 0.688
Tap the angle that is vertical to angle 4
Answer:
angle four is vertical to angle 2
Answer:
angle 2 is vertical to angle 4
j + 150 × 50 is a(n) ______ expression, because ______.
Solve the following equation algebraically. Show your work.
17 = -13 – 82
Will mark brainliest
PLEASE PLEASE HELP!!!
Answer:
A. ??
Step-by-step explanation:
have a nice day and hope it helps
what is
t ÷ -5 = -7 help
Answer:
4 +5 _7
Step-by-step explanation:
I do not know which formula to use
Carla bought a dress at a sale for 20% off the original price. The sale price of the dress was $68.90. Find the original price of the drees, in dollars.
Step by step explanation please.
Answer:
I think it's the second formula.
Step-by-step explanation:
Let x be the original price.
The discount rate is 20%
Sale Price is $68.90
Discount = 20% of x = 0.2x
Using the formula, Sale Price = Original Price - Discount,
Original Price - Discount is x-0.2x = 0.8x
$68.90 = 0.8x
From here on, just do the equation :) Hope this helps!
May anyone please help me?
Answer:
1
Step-by-step explanation:
0^2 + 1
1
A mug contains 20 fluid ounces of coffee.
How many pints of coffee does the mug contain?
Enter your answer as a decimal in the box.
Answer:
1.25 pints
Step-by-step explanation:
gallon king!!!
1 gallon king has 4 queens (4 quarts)
1 queen (quart) has a 2 princes (pints)
1 prince has 2 cats (cups)
one cup has 8 oz
put it all together:
2 and 1/2 cups
2 cups = 1 pint
1 pint and 1/2 cup
1/2 cup is 1/4 of a pint
sooo... it's 1.25 pints!
write an equation in slope-intercept form for the graph shown (i will give brainliest whoever gets it right)
Answer:
y=-3x+2
Step-by-step explanation:
1. Write the equation of a line parallel to y = -2x + 10 that passes through point (2, 4).
Answer:
y - 4= -2(x - 2)
Step-by-step explanation:
(This answer is in point slope form, if you need the answer in a different form like slope intercept, you would have to distribute the negative 2 and bring the negative 4 to the right side.)
So, you know the line is parallel to the equation y= -2x + 10. We know that parallel lines must have the same slope, so the answer will have a slope of negative 2. Because they have given you a point that the line passes through, we are going to put the answer in point slope form. we know a point and we know the slope, hence it is called point-slope.
Point slope form is y - y₁ = m(x - x₁). The m stands for the slope, and the x₁ and y₁ is where you will plug in the x and y coordinates (2,4) .
So to plug in the numbers into point slope form it would be y - 4 = -2 (x - 2). hope this helped :)
Which of the following is considered an asset?
Answer:
b car lone
Step-by-step explanation:
hope it helps
What is the value of -(-6) - 4
Answer:
2
Step-by-step explanation:
Two negatives makes a positive, - (-6) can be rewritten as +6 or simply just 6.
Proceed to do simple calculations, 6 - 4 = 2.
Answer:
2
Step-by-step explanation:
Multiply the -6 by -, and it equals a positive 6 (When you multiply a negative number by a negative number it becomes a positive).
Finish the equation by subtracting 6 - 4 = 2
I know it might not make sense but trust me, I had to do problems like this.
Hope this helps!
-Jerc
Complete the table and write the equation
x | y
? | 1.5
-1 | 4
0 | ?
3 | 9
15 | ?
Equation: y = ____ x + _____
Answer:
All results in the explanation
Step-by-step explanation:
To make the equation of the line, we only need two points. Select from the table the points (-1,4) and (3,9).
First, find the slope of the line:
We know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\\[/tex]
Substituting:
[tex]\displaystyle m=\frac{9-4}{3+1}=\frac{5}{4}[/tex]
This value is used in the slope-point form of the line:
[tex]\displaystyle y-k=\frac{5}{4}(x-h)[/tex]
Where (h,k) is a point from the table, select for example (3,9):
[tex]\displaystyle y-9=\frac{5}{4}(x-3)[/tex]
Operate:
[tex]\displaystyle y=\frac{5}{4}\cdot x-\frac{5}{4}\cdot 3+9[/tex]
[tex]\displaystyle y=\frac{5}{4}\cdot x+\frac{-15+36}{4}[/tex]
The equation of the line is:
[tex]\boxed{\displaystyle y=\frac{5}{4}\cdot x+\frac{21}{4}}[/tex]
Now complete the table.
For x=0:
[tex]\displaystyle y=\frac{5}{4}\cdot 0+\frac{21}{4}[/tex]
[tex]y=\frac{21}{4}[/tex]
For x=15
[tex]\displaystyle y=\frac{5}{4}\cdot 15+\frac{21}{4}[/tex]
[tex]\displaystyle y=\frac{75}{4}+\frac{21}{4}=\frac{96}{4}=24[/tex]
y=24
For y=1.5, find x:
[tex]\displaystyle 1.5=\frac{5}{4}\cdot x+\frac{21}{4}[/tex]
Operate:
[tex]\displaystyle 1.5-\frac{21}{4}=\frac{5}{4}\cdot x[/tex]
Multiply by 4:
[tex]\displaystyle 6-21=5 x[/tex]
Solve:
[tex]x=-15/5=-3[/tex]
x=-3
Answer:
All results in the explanation
Step-by-step explanation:
To make the equation of the line, we only need two points. Select from the table the points (-1,4) and (3,9).
First, find the slope of the line:
We know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
\begin{gathered}\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\\\end{gathered}m=x2−x1y2−y1
Substituting:
\displaystyle m=\frac{9-4}{3+1}=\frac{5}{4}m=3+19−4=45
This value is used in the slope-point form of the line:
\displaystyle y-k=\frac{5}{4}(x-h)y−k=45(x−h)
Where (h,k) is a point from the table, select for example (3,9):
\displaystyle y-9=\frac{5}{4}(x-3)y−9=45(x−3)
Operate:
\displaystyle y=\frac{5}{4}\cdot x-\frac{5}{4}\cdot 3+9y=45⋅x−45⋅3+9
\displaystyle y=\frac{5}{4}\cdot x+\frac{-15+36}{4}y=45⋅x+4−15+36
The equation of the line is:
\boxed{\displaystyle y=\frac{5}{4}\cdot x+\frac{21}{4}}y=45⋅x+421
Now complete the table.
For x=0:
\displaystyle y=\frac{5}{4}\cdot 0+\frac{21}{4}y=45⋅0+421
y=\frac{21}{4}y=421
For x=15
\displaystyle y=\frac{5}{4}\cdot 15+\frac{21}{4}y=45⋅15+421
\displaystyle y=\frac{75}{4}+\frac{21}{4}=\frac{96}{4}=24y=475+421=496=24
y=24
For y=1.5, find x:
\displaystyle 1.5=\frac{5}{4}\cdot x+\frac{21}{4}1.5=45⋅x+421
Operate:
\displaystyle 1.5-\frac{21}{4}=\frac{5}{4}\cdot x1.5−421=45⋅x
Multiply by 4:
\displaystyle 6-21=5 x6−21=5x
Solve:
x=-15/5=-3x=−15/5=−3
x=-3
A graph has years since group formed on the x-axis, and number of members on the y-axis. A line goes through points (2, 38) and (5, 80).
The membership of a student group is expressed by the equation y = 14x + 10, where x represents the number of years since the group was formed and y represents the number of members.
How many years will it take for the group to have 290 members?
If the group was formed in the year 2000, in what year would you expect the group to have 290 members?
Answer:
20 and 2020
Step-by-step explanation:
i got it right on edge
Answer:
The first answer is 20 and the second answer is 2020
Step-by-step explanation:
I just answered it on edge
What is the slope of line p
please help asap!!! will give brainliest answer
Answer:
Angle AOB and angle DOC are identical because they share 2 parallels considering it is a bisection
Step-by-step explanation:
I need help ASAP!!!!
Answer:
C
Step-by-step explanation:
P(x)=R(x)-C(x)
=-0.6x³+900x²-400x+700-(400x²+300x)
=-0.6x³+500x²-700x+700
Solve the following equation for y.
y-(-7)= 3(x-(-6))
Answer:
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
y-(-7/3*x-6)=0
STEP
1
:
7
Simplify —
3
Equation at the end of step
1
:
7
y - ((0 - (— • x)) - 6) = 0
3
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 3 as the denominator :
6 6 • 3
6 = — = —————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
-7x - (6 • 3) -7x - 18
————————————— = ————————
3 3
Equation at the end of step
2
:
(-7x - 18)
y - —————————— = 0
3
STEP
3
:
Rewriting the whole as an Equivalent Fraction :
3.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 3 as the denominator :
y y • 3
y = — = —————
1 3
STEP
4
:
Pulling out like terms :
4.1 Pull out like factors :
-7x - 18 = -1 • (7x + 18)
Adding fractions that have a common denominator :
4.2 Adding up the two equivalent fractions
y • 3 - ((-7x-18)) 3y + 7x + 18
—————————————————— = ————————————
3 3
Equation at the end of step
4
:
3y + 7x + 18
———————————— = 0
3
STEP
5
:
When a fraction equals zero :
5.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
3y+7x+18
———————— • 3 = 0 • 3
3
Now, on the left hand side, the 3 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
3y+7x+18 = 0
Equation of a Straight Line
5.2 Solve 3y+7x+18 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 3y+7x+18 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is -6/1 so this line "cuts" the y axis at y=-6.00000
y-intercept = -18/3 = -6
Calculate the X-Intercept :
When y = 0 the value of x is -18/7 Our line therefore "cuts" the x axis at x=-2.57143
x-intercept = -18/7 = -2.57143
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -6.000 and for x=2.000, the value of y is -10.667. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -10.667 - (-6.000) = -4.667 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -4.667/2.000 = -2.333
Geometric figure: Straight Line
Slope = -4.667/2.000 = -2.333
x-intercept = -18/7 = -2.57143
Logan used 12 centimeters of tape to wrap 4 presents. How much tape will Logan need in all if he had wrap 8 presents? Assume the relationship is directly proportional.
Answer:
24 centimeters
Step-by-step explanation:
Last Friday Willie had $27. Over the
weekend he received some money for
babysitting. He now has $43. How much
money did he receive?
Answer:
$16
Step-by-step explanation:
He received that much money because all you have to do is just subtract
43-27. Then thats how I got my answer.
Hope this helps and have a great day!
Answer:
Willie received $16 dollars during the weekend
Step-by-step explanation:
$43 (how much money he has now) - $27 (how much he had last Friday) = $16 (how much he received while babysitting during the weekend)
Write one-page given the following scenario, determine if the salesman’s conjecture is logical? Why or why not? Is it true? Why or why not? Provide a counterexample that would disprove his hypothesis:
A car salesman sold 5 used cars to five different couples. He noticed that each couple was under 30 years old. The following day, he sold a new, luxury car to a couple in their 60’s. The salesman determined that only younger couples by used cars.
Answer:
His conjecture is not logical.
Step-by-step explanation:
If he sold a car to a couple above 30, how did he think only younger people bought cars? He is not logical.
This equation shows how the total number of souvenirs Mark buys is related to the number of days he spends on vacation. s = d The variable d represents the number of days he spends on vacation, and the variable s represents the total number of souvenirs he buys. How many days will Mark have to spend on vacation before he will have bought a total of 12 souvenirs?
Answer:
12 days
Step-by-step explanation:
Given:
s = d
Where,
d = number of days he spends on vacation
s = total number of souvenirs he buys
How many days will Mark have to spend on vacation before he will have bought a total of 12 souvenirs?
s = 12
Since,
s = d
Then,
12 = d
Therefore, Mark will have to spend a total of 12 days on vacation before he will have bought a total of 12 souvenirs
a taxicab company charges $4.25 plus $.85 per mile. Mary Paid a fare of $12.50. Write and solve an equation to find the number of miles she traveled and describe the solution.
Pls help me!
ASAP!