To rewrite the equation in standard form, we need to rearrange it so that the variables are on the left side of the equation and the constants are on the right side. The standard form of a linear equation is expressed as:
Ax + By = C
In the given equation, we have:
y = -10x - 2
To bring all the terms to the left side, we can add 10x to both sides of the equation:
10x + y = -2
Now the equation is in standard form.
How would you go about finding for the inverse of y=6^(x+1)?
Answer:
Step-by-step explanation:
Solve the following equation: (number only) 8x-4=12x+6+x
Answer:
X=2/5
Step-by-step explanation:
8x-4=12x+6+x
8x-4=13x+6
8x-13x=+6-4
-5x=-2
x=-2/-5
x=2/5
Bob, a lawyer, used to charge his clients $220 per hour Recently, he reconsidered his rates and ultimately decided to charge 30% more. Now how much does Bob charge per hour?
Answer:
The Poisson probability distribution gives the probability of a number of events occurring in a fixed interval of time or space if these events happen with a known average rate and independently of the time since the last event. For example, a book editor might be interested in the number of words spelled incorrectly in a particular book. It might be that, on the average, there are five words spelled incorrectly in 100 pages. The interval is the 100 pages.
Answer:
$286 per hour
Step-by-step explanation:
first we have to find out what 30% of $220 is
we do this by multiplying $220 by 0.3
We get $66
then we add the markup value to the initial value
$66 + $220= $286
bob's a scu.mbag
hope this helps chu babe <3
Someone help please hurry !!! ASAP
Answer:
it's -4
Step-by-step explanation:
hope it helped!!!!!!
Answer:
-4
Step-by-step explanation:
The answer will be the same as a positive square root, just add a negative.
what is
c/5 +1.00=9.00
Answer:
c = 40
Step-by-step explanation:
The selling price of a $10,000 5-year bond will be less than $10,000 if the A. Coupon rate is less than the market interest rate B. Coupon rate is greater than the market interest rate C. Coupon rate is equal to the market interest rate D. Maturity date is less than 5 years
The correct answer is A. The selling price of a bond is affected by the coupon rate and the market interest rate.
If the coupon rate is less than the market interest rate, investors will not be interested in buying the bond because they can get a higher return elsewhere. This results in the selling price of the bond being less than its face value of $10,000.
The selling price of a $10,000 5-year bond will be less than $10,000 if the:
A. Coupon rate is less than the market interest rate
This is because when the coupon rate (the interest paid by the bond) is lower than the market interest rate, investors would prefer to invest in other options that offer a higher return. Therefore, to attract buyers, the bond's selling price would be discounted to compensate for the lower coupon rate.
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Solve the following quadratic equation 5x^2+18x+9=0
Answer:
\(x = -3~\text{and}~ x = -\dfrac 35\)
Step-by-step explanation:
\(~~~~~~5x^2 +18x +9=0\\\\\implies 5x^2 +15x +3x +9 = 0\\\\\implies 5x(x+3) +3(x+3) = 0\\\\\implies (x+3)(5x+3) = 0\\\\\implies x = -3,~ x = -\dfrac 35\)
Answer:
x = -3
OR
x = -(3/5)
Step by step explanation:
Given:
5x^2+18x+9=0To Find:
xSoln:
Use quadratic formulae:
Here I typed Quadratic formula as x\( \rm x=\cfrac{-b\pm\sqrt{b^2-4ac}}{2}\)
According to the question,on the formula,
a = 5b = 18c = 9So substitute them on the formula:
THEN solve for x.
\( \rm \implies \: x = \cfrac{-1 8 \pm \sqrt{18 {}^{2} - 4(5 \times 9) }}{2 \times 5} \)
\( \rm \implies \: x = \cfrac{-1 8 \pm \sqrt{324- 20 \times 9) }}{10} \)
\(\rm \implies \: x = \cfrac{-1 8 \pm \sqrt{324- 180}}{10} \)
\( \rm \implies \: x = \cfrac{ - 18 \pm \sqrt{144} }{10} \)
\( \rm \implies \: x = \cfrac{ - 18 \pm12}{10}\)
\( \rm \implies \: x = \cfrac{9 \pm 6}{5} \)
Final solution will after adding first(9+6),then secondly subtracting both 9-6
\( \rm \implies \boxed{x = - \cfrac{3 }{5} }\)
\( \implies \boxed{\rm x = - 3}\)
So there'll be two possible answers.
A college student is studying the price of textbooks at her school. She knows that the mean price of all college textbooks in her state is $132.23 and their standard deviation is $34.84. She selects 10 textbooks from each of 22 randomly selected subjects from all the subjects taught at her school. For this sample of size 220, the mean is $123.21 and the standard deviation is $26.17. The sampling method used here is,
The sampling method used here is stratified random sampling.
The sampling method used in this scenario is called stratified random sampling.
In stratified random sampling, the population is divided into subgroups or strata based on certain characteristics, and then a random sample is selected from each stratum. In this case, the student selected 10 textbooks from each of the 22 randomly selected subjects.
By selecting textbooks from each subject, the student ensured that the sample represented different areas of study at the school. This approach helps to capture the variability present in different subjects and provides a more comprehensive representation of the population.
The use of stratified random sampling allows for a more accurate estimation of the overall mean and standard deviation of the textbooks' prices across different subjects. It also helps to reduce the potential bias
that could arise from selecting textbooks from only a few subjects or from subjects with extreme price ranges.
Therefore, the sampling method used here is stratified random sampling.
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Lenny has a job that pays $8 per hour plus tips (t). Lenny worked for 4 hours Monday and made $65 in all. Which equation could be used to find t, the amount Lenny made in tips?
Answer:
t= 33
Step-by-step explanation:
4(8) +t = 65
32+t=65
t=33
Hope this helps!
Step-by-step explanation:
T = hourly pay (8$)
Y = hours worked
T • Y = 32
65-32 = 33$ in tips
What two numbers multiply together to equal -15 and add together to equal -14?
Answer:
-15 and 1
Step-by-step explanation:
-15x1=-15
-15+1= -14
If -10x – 9y = -7 is a true equation, what would be the value of
-30x – 27y?
Answer:
-30x-27y = -21
Step-by-step explanation:
We know that;
-30x-27y = 3(-10x-9y)
Recall, -10x-9y = -7
Thus; -30x-27y = 3(-7) = -21
Write the equation of the line fully simplified slope-intercept form.
Answer:
y=4/5x + 8
Step-by-step explanation:
The 8 is the y-intercept and the 4/5 is the slope when you do rise/run on the marked points.
For the fraction 2 5/8, change it to an improper
fraction
1 13/8
Have a great day!
P.S it can also be 21/8
Find the missing side lengths the triangle is 30-60-90
Answer:
y= 4
x=8
Step-by-step explanation:
30-60-90 rule. the side opposite of 30 degrees is y, the side opposite of 90 degrees is 2y, and the side opposite of 60 degrees is y \(\sqrt{3}\). since 4 is next to the square root that makes it y. y = 4 and 2y= 8.
at the library book sale. hardcover books costs for $4 and paperbacks books for $2 each. A person spends
$26 for 8 books. How many hardcover books did she purchased?
The table shows the costs for art show participants, including the $30 registration fee.
Number of Pieces of Art, x
0 2 4 6 8
Cost ($), y
30 90 150 210 270
Write an equation in slope-intercept form that represents the data in the table.
The equation in slope-intercept form that represents the data in the table.
is 90 = 30x + 30.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given, A table shows the costs for art show participants, including the $30 registration fee.
From the table when x = 0, y = 30, and when x = 2, y = 90.
(0, 30), (2, 90).
We know slope(m) = (y₂ - y₁)/(x₂ - x₁) = (90 - 30)/(2 - 0) = 60/2 = 30.
∴ y = mx + b.
90 = 30x + 30.
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A security car is parked 25 ft from a movie theater. Find at what speed the reflection of the security strobe lights is moving along the wall of the movie theater when the reflection is 30 ft from the car. The strobe lights are rotating with the speed 2 revolutions per second.
Answer:
v=20π ft/s
Step-by-step explanation:
Given:
Distance from the security car to the movie theater, D=25 ft
Distance of the reflection from the car, d=30 ft
Speed of rotation of the strobe lights, 2 rev/s
To find the speed at which the reflection of the security strobe lights is moving along the wall of the movie theater, we need to calculate the linear velocity of the reflection when it is 30 ft from the car.
We can start by finding the angular velocity in radians per second. Since the strobe lights rotate at 2 revolutions per second, we can convert this to radians per second.
ω=2πf
=> ω=2π(2)
=> ω=4π rad/s
The distance between the security car and the reflection on the wall of the theater is...
r=30-25= 5 ft
The speed of reflection is given as (this is the linear velocity)...
v=ωr
Plug our know values into the equation.
v=ωr
=> v=(4π)(5)
∴ v=20π ft/s
Thus, the problem is solved.
The speed of the reflection of the security strobe lights along the wall of the movie theater is 2π ft/s.
To solve this problem, we can use the concept of related rates. Let's consider the following variables:
x: Distance between the security car and the movie theater wall
y: Distance between the reflection of the security strobe lights and the security car
θ: Angle between the line connecting the security car and the movie theater wall and the line connecting the security car and the reflection of the strobe lights
We are given:
x = 25 ft (constant)
y = 30 ft (changing)
θ = 2 revolutions per second (constant)
We need to find the speed at which the reflection of the security strobe lights is moving along the wall (dy/dt) when the reflection is 30 ft from the car.
Since we have a right triangle formed by the security car, the movie theater wall, and the reflection of the strobe lights, we can use the Pythagorean theorem:
x^2 + y^2 = z^2
Differentiating both sides of the equation with respect to time (t), we get:
2x(dx/dt) + 2y(dy/dt) = 2z(dz/dt)
Since x is constant, dx/dt = 0. Also, dz/dt is the rate at which the angle θ is changing, which is given as 2 revolutions per second.
Plugging in the known values, we have:
2(25)(0) + 2(30)(dy/dt) = 2(30)(2π)
Simplifying the equation, we find:
60(dy/dt) = 120π
Dividing both sides by 60, we get:
dy/dt = 2π ft/s
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Please helppppp fastttttt
Answer:
C is the answer
Step-by-step explanation:
S • 41. If US$ 1 is equivalent to $ 47.50, the value of US$7 in Jamaican currency is?
Answer:
your anwser is 1085
Step-by-step explanation:
The school mary goes to is selling tickets to a fall musical. On the first day of ticket sales the school sold 7 senior citizen tickets and 6 students tickets of $69. The school took in $53 on the second day by selling 7 senior citizen tickets and 4 student tickets. find the price of one senior citizen ticket an the price of one child ticket
The price of one senior citizen ticket is $8 and that of a child ticket is $3.
Let the price of one senior citizen ticket be x
and the price of one student ticket be y
Thus, for the first day, we can make the following equation-
7x + 6y = 69
and similarly, we can make an equation for the second day as-
7x + 4y = 53
Now, we can solve these two linear equations to find the value of x and y.
Subtracting equation 2 from 1 we get-
(7x + 6y) - (7x + 4y) = 69 - 53
7x - 7x + 6y - 4y = 16
6y - 4y = 16
2y = 16
y = 16/2
y = 8
Substituting the value of y in any of the two equations we can find the value of x-
7x + 6(8) = 69
7x = 69 - 48
x = 21/7
x = 3
Thus, the price of one senior citizen ticket is $8 and that of a child ticket is $3.
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help................
Answer:
80
Step-by-step explanation:
The opposite angles in a cyclic quadrilateral are supplementary. The sum of the opposite angles is equal to 180˚
x+100=180
x=180-100=80
Lashonda received a $90 gift card for a coffee store. She used it in buying some coffee that cost $7.31 per pound. After buying the coffee, she had $53.45 left on the card. How many pounds of coffee did she buy?
90 - 53.45 = 36.55
36.55 / 7.31 = 5 pounds of coffee
A rectangular plot is to be fenced off and divided into three parts/plots on land that borders a barn. If you do not fence the side along the barn, find the length and width of the plot that will maximize the area if you have 200 feet of fence. What is the largest area that can be enclosed
5000 square feet is the largest area that can be enclosed
It is given that a rectangular plot is to be fenced off and divided into three parts/plots on land that borders a barn there are and there is 200 feet of fence that is available.
One-fourth of the perimeter = 50
The other width also equals 50.
So the length of fencing = 200 - 50 - 50 = 100
So the area = 50 x 100 = 5000 square feet.
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find the Hcf of 15 30 90
Answer:
15=3*5
30=5*6
90=5*3*5*2*3
So, HCF=15
Step-by-step explanation:
Hope it helps
Step-by-step explanation:
Hey there!
HCF stands for highest common factor. When you are asked about to find the HCF of any number find the factors and take common from all the factors of the numbers.
The given numbers are: 15,30,90.
15 = 3*5
30 = 2*3*5
90 = 2*3*3*5
Now, from the above solutions take all the common factors.
From the factors of all three numbers, 3*5 are common.
Therefore, the HCF of the numbers is 3*5 = 15.
Hope it helps!
solve the equation b -2 = -2 - 2b
Answer:
No solution
Step-by-step explanation:
b-2+2=+2-2-2b
b=-2b
Using n = 3.14, find the area of a circle with a radius of 16.
Round your answer to the nearest hundredth.
HELPPP
Answer:
803.84=A
Step-by-step explanation:
The area of a circle can be found by using the equation \(\pi r^{2}\)=A.
\(\pi r^{2}\)=A
\((3.14)(16^{2})\)=A
(3.14)(256)=A
803.84=A and the units are, how ever the radius is measured cubed
28 points and brainliest!!!!!!!!!!!
Answer:
Multiplication
Step-by-step explanation:
Can i have branliest?
You would multiply the speed the vehicles are moving and the feet its going
Step-by-step explanation:
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Answer:
I provided an attachment
Step-by-step explanation:
Hurry plz in class now!
Answer:
5 1
Step-by-step explanation:
%÷;/:=1÷^2/^5&_3;;_3,
You are planning a skating party at a rink that charges a basic fee of $6.00 and $6.50 per person for catered parties. You don't want to spend
more than $71.00. Write and solve an inequality to find the number of friends you can invite.
O a 6.5x + 6 2 71; x2 10
b 6.5x + 6 < 71, x <10
ос 6.5x + 6 > 71, x > 10
Od 6.5x + 6 S 71, XS 10
Answer:
y = 6.50x + 6 or 71 = 6.50x + 6
10 people are the max you can invite
Step-by-step explanation: