Answer:
In order to determine if two lines are parallel, perpendicular, or neither, look at their slopes. If the lines have the same slope, they are parallel. If the slopes are opposite reciprocals, then they are perpendicular. If the slopes of the lines are not any of those, then they are neither.
Parallel line: [tex]y = \frac{2}{5} x[/tex]
Perpendicular line: [tex]y = -\frac{5}{2} x[/tex]
Neither: [tex]y = 3x[/tex]
Step-by-step explanation:
In order to determine if two lines are parallel, perpendicular, or neither, look at their slopes. If the slopes of the two lines are the same, then they are parallel. If the slopes of the two lines are opposite reciprocals, then they are perpendicular. If the slopes of the lines are not any of those, then they are neither.
The equation [tex]y = \frac{2}{5} x+7[/tex] is in slope-intercept form. The y is isolated and it's in [tex]y = mx + b[/tex] format. Whenever an equation is in slope-intercept form, the [tex]m[/tex], or the coefficient of the x-term, represents the slope. So, the slope of the given line is [tex]\frac{2}{5}[/tex]. Therefore, use the rules listed previously to find lines that are parallel and perpendicular.
Parallel lines have the same slope, so an example of a parallel line would be [tex]y = \frac{2}{5} x[/tex].
Lines that are perpendicular have slopes that are opposite reciprocals, so an example of a perpendicular line would be [tex]y = -\frac{5}{2} x[/tex].
Lines that are neither do not fall into either of those categories, so an example of a line that is neither would be [tex]y = 3x[/tex].
At Lincoln Middle School, 1/3 of the students play a musical instrument. Of the students who play instruments, 3/4 tried out for the class play. What is the probability that a student
selected at random plays a musical instrument and tried out for the class play?
25%
33%
66%
75%
The probability that a student selected at random plays a musical instrument and tried out for the class play is 25%.
To find the probability that a student selected at random plays a musical instrument and tried out for the class play, we need to multiply the probabilities of each event happening.
Given:
Probability of a student playing a musical instrument = 1/3
Probability of a student who plays an instrument trying out for the class play = 3/4
To find the combined probability, we multiply these probabilities:
Probability = (1/3) * (3/4)
Simplifying the multiplication:
Probability = 1/4
Converting the fraction to a percentage:
Probability = 1/4 * 100% = 25%
Therefore, the probability that a student selected at random plays a musical instrument and tried out for the class play is 25%.
To know more about probability here
https://brainly.com/question/23417919
#SPJ2
What operation do we use to solve unit rate?
FAST PLEASE
Answer:
Step-by-step explanation:
Calculator Use
A unit rate is a rate with 1 in the denominator. If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.
Answer:
A unit rate is a rate with 1 in the denominator. If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.
Awesome Autos creates the following advertisement to compare the prices of its used cars to those of Cool Cars. Which statement best explains how Awesome Autos misrepresented the data? (could someone please help)
1
Step-by-step explanation:
Answer: A. The graph for Awesome Autos does not begin at 0 and makes its prices appear less than those of Cool Cars.
What two plane geometric figures are ALWAYS similar?
The event of picking a number less than 13 from a jar with papers labeled from 1 to 12 is.
PLZ FAST ANSWER
Answer:
100 %
Step-by-step explanation:
n<13, you only have numbers from 1 to 12. This means that any number that you will pick will be less than 13
Mona is going shopping! She bought 3 teeshirts, each costing the same price of -$15.00. This can be modeled with the equation: 3(-15).
Answer:
Yes
Step-by-step explanation:
Yes, equation 3(-15) is basically saying that you are spending -15, 3 times and that those two numbers are being multiplied together which would give you the total cost of all the shirts you are buying. That being said, no purchase would be a negative value, this is most likely an error made when writing the question but the cost of each individual shirt should be $15 and not -$15. Therefore making the actual equation 3(15). We can even equal this to the variable C which would represent the total cost of the purchase and make it more of a real equation.
C = 3(15)
What can be used to show the difference in variation for two populations that have equivalent measures of center?
A.
minimum
B.
maximum
C.
median
D.
mean absolute deviation
1. C
2. D
3. A
4. A
5. C
6. A
7. Do yourself
Nine times a number, added to 4, is 58.
Find the number n.
Answer:
6
Step-by-step explanation:
n - number
9n + 4 = 58
9n = 54
n = 54/9 = 6
solve for w what is w ÷ 1 = 6.6
Answer:
Step-by-step explanation:
solution is w = 6.6
Can anyone help me with this math equation??
Answer:
The person above me is right, it is 0.3 or 1/3
Step-by-step explanation:
Which two expressions are equivalent?
Answer:
7(x+8) and 7(x) + 7(8)
Step-by-step explanation:
Answer:
none are correct but d is I think the answer
Step-by-step explanation:
becuase of the way you are suppose to do the work
A). You plan to invest $1978 in an account with two different options. Option 1 earns 8.5% annually, with interest to be compounded continuously. How much money would you have in the account after 2 years?
B). You plan to invest $1978 in an account with two different options. Option 2 earns 8.5% annually, with interest to be compounded quarterly. How much money would you have in the account after 2 years?
C). You plan to invest $1978 in an account with two different options. Based on your two previous answers, which option would you choose and why?
Please hep me i will mark as the best please....
Answer:
A) $2,344.53
B) $2,340.36
C) Based on my answer in A and B, the Option i would choose is Option A. This is because the amount i would receive after 2 years in Option A is higher than that of Option B
Step-by-step explanation:
We solve for A and B using Compound Interest formula
A). You plan to invest $1978 in an account with two different options. Option 1 earns 8.5% annually, with interest to be compounded continuously. How much money would you have in the account after 2 years?
First, convert R as a percent to r as a decimal
r = R/100
r = 8.5/100
r = 0.085 rate per year,
Then solve the equation for A
The formula is given as
A = Pe^rt
A = 1,978.00(2.71828)(0.085)(2)
A = $2,344.53
B). You plan to invest $1978 in an account with two different options. Option 2 earns 8.5% annually, with interest to be compounded quarterly. How much money would you have in the account after 2 years?
First, convert R as a percent to r as a decimal
r = R/100
r = 8.5/100
r = 0.085 rate per year,
Then solve the equation for A
The formula is given as
A = P(1 + r/n)^nt
P = Principal = $1978
r = 0.085
n = compounded quarterly = 4
A = 1,978.00(1 + 0.085/4)(4)(2)
A = 1,978.00(1 + 0.02125)(8)
A = $2,340.36
C). You plan to invest $1978 in an account with two different options. Based on your two previous answers, which option would you choose and why?
Based on my answer in A and B, the Option i would choose is Option A. This is because the amount i would receive after 2 years in Option A is higher than that of Option B
Order the measurements from largest to smallest.
4.9L , 4090ml , 1.4km , 4901m
Answer:
4090 ml - 4.9L
1.4km - 4901m
Step-by-step explanation:
A liter is made up of 1000 ml so 4.9 l is equvilant to 4,900 ml.
A kilometre same as litre is made up of a 1000 m. So 1.4 km is 1400m
However, ml and l is a measurement of volume while m and km is a measurement of distance.
I suck at math.
A slice of a pie weighs 8 ounces. How many pounds do 6 slices of pie weigh? (2 points)
Group of answer choices
2 pounds
3 pounds
4 pounds
5 pounds
Answer:
3 lbs
Step-by-step explanation:
There are 16oz in 1 lb
Therefore, 2 pieces of pie is 1 lb
Divide 6 by 2 and you get 3 lbs
Write the log equation as an exponential equation. You do not need to solve for x.
log, (5x + 4) = 3x – 4
f(t) =
2(t-1)
(t-4) (t + 2)
What is the domain off (t)?
Answer:
{t element R : t!=-2 and t!=4}
(assuming a function from reals to reals)
Step-by-step explanation:
Help? Pleaseee! : ))
Answer:
A.) 1.2
Step-by-step explanation:
What is the measure of angle RQS in the figure?
A. 36 degrees
B. 60 degrees
C. 72 degrees
D. 108 degrees
Answer:
108°
I hope it's helps you
Answer:
[tex]2x + 3x = 5x = 180 \\ x = \frac{180}{5} = 36 \\ rqs = 36 \times 3 = 108[/tex]
Directions: Find each angle or arc measure.
Answer:
176°
Step-by-step explanation:
inscribed angle= 88°
intercepted Arc= JML
so, 88 =1/2 × mJML
2 × 88 =1/2 × mJML
176° = mJML
The measure of arc JML is 176°.
What is Inscribed Angle Theorem?Inscribed Angle Theorem states that the angle inscribed in a circle has a measure of half of the central angle which forms the same arc.
Given that,
∠JKL is the inscribed angle and ∠JNL is the central angle.
Measure of central angle JNL is the measure of the arc JML.
m ∠JKL = 88°
m ∠JNL = 2 × 88° = 176°
Measure of arc JML = 176°
Hence the measure of the arc JML is 176°.
To learn more about Inscribed Angle Theorem, click :
https://brainly.com/question/5436956
#SPJ2
Im having trouble submitting this question but please help
9514 1404 393
Answer:
7.5 oz of 12% solution4.5 oz of 4% solutionStep-by-step explanation:
Let x represent the quantity of 12% solution in the mix. The the total amount of acid is ...
12%x +4%(12 -x) = 9%(12)
8x = 60 . . . . . . . . . . divide by %, subtract 48
x = 60/8 = 7.5 . . . . . ounces of 12% solution
12 -x = 4.5 . . . . . . . . ounces of 4% solution
_____
Additional comment
You could leave out the part about what happens to Mrs. V without changing the math problem.
State the solution of the system of linear equation using its grap
6.
SOLUTION: (
-2
Answer:
Solution is (2, -1)
Step-by-step explanation:
The lines cross at the point where x = 2 and y = -1.
A cell phone is in the shape of a rectangular prism, with a length of 4 inches, a width of 2 inches, and a height of 1 inch. What is the volume of the cell phone?
Answer:
8
Step-by-step explanation:
V=whl=2·1·4=8
Volume = width times length times height = 2 x 1 x 4 =8
I hope this helps!!
Algebraically find the inverse for each of the following equations
A. y = 3x-8
B. y = 1/2x+6
C. y = x+6/2
Step-by-step explanation:
A. y= 3x -8
x = 3y -8
3y = x +8
y = (x+8)/3
B x = 1/2y +6
1/2y = x-6
y = 2x - 12
C x = y + 6/2
y = x - 6/2
A store offers a discount of 40% off any one regular-price item. The price paid after this discount is represented by $(<). Employees also receive 10% off any purchases; the price paid alter
this discount is represented by e(x). Which of the following represents the composite function of applying the store discount first, and the employee discount second?
O e(s(x) = 0.04
O c(s(x)) = 0.54
Os(e(x) = 0.54
Os(e(x)) = 0.04
Answer:
O s(e(x)= 0.54
Step-by-step explanation:
sana makatulong
Otis has saved $18,500 so far to buy a house. He can put this amount into account that earns 5.1% simple interest, or another with 5.1% compounded annually. Which method of earning interest should he choose simpler compound and how much more interest will the account earn using that method after four years?
F. Compound interest $15,106.30
G. Simple interest $15,106.30
H. Simple interest $298.65
J. Compound interest $298.65
Answer:
J Compound interest; $298.65
Step-by-step explanation:
Interest compounding pays interest on the interest. For the same annual rate, any amount of compounding will earn more interest.
For short time periods, the effect of compounding is not great. In general, it will be a fraction of the equivalent simple interest rate. Here, the effective multiplier for annual compounding is ...
1.051^4 = 1.22024337
and the effective multiplier for simple interest is ...
1 +0.051·4 = 1.204
Then the difference in interest rate multiplier for the 4-year period is ...
1.22024337 -1.204 = 0.01614337
That fraction of the $18500 principal is $298.65.
Compound interest earns $298.65 more than simple interest in this scenario.
Hope this helps, have an amazing day!
Can you help me on algebra?
Answer:
the answer is :c^5 b^3
SOMEBODY PLSSSSSSS HELP!! :(
Answer:
What's your question?
Step-by-step explanation:
Answer:
Where is the question?
A chef used a diffrent amounts of milk when making pancakes 1/2 1/4 1/4 1/2 1/2 3/4 1/2 1/2 3/4 1/2 1/4 3/4 1/2 1/2
Complete question :
A chef used a diffrent amounts of milk when making pancakes 1/2 1/4 1/4 1/2 1/2 3/4 1/2 1/2 3/4 1/2 1/4 3/4 1/2 1/2.
What is the average amount of milk used for n order of pancake?
Answer:
1/2
Step-by-step explanation:
Given the data:
1/2 1/4 1/4 1/2 1/2 3/4 1/2 1/2 3/4 1/2 1/4 3/4 1/2 1/2.
The average = mean
Sum of all values in the data / size of data
Sum = (1/2 + 1/4 + 1/4 + 1/2 + 1/2 + 3/4 + 1/2 + 1/2 + 3/4 + 1/2 + 1/4 + 3/4 + 1/2 + 1/2) = 7
Size of data = 14
Hence, the average amount of milk added per order of pancake equals :
7 / 14
= 1/2
= 1/2 cups of milk per order of pancake
You start at (2, 3). You move up 6 units. Where do you end?
Answer:
(2,9)
Step-by-step explanation:
we start at the point (2,3) and moving up 6 units
when we move up or down, we are changing the value of the y-coordinate. Since we are moving up, the value of the y-coordinate increases (makes sense, if you are thinking about a graph. The further you go up, the larger the y value becomes).
However, the x-coordinate will stay the same (no instructions on moving left or right {that changes the x value}). That means the y value will increase by 6 while the x value will stay the same.
so add 6 to 3 and get 9, and add nothing to 2
therefore, the point we end on will be (2,9)
if you would like to see a graph for clarity/visualization, please see below
Please help me with this math question.
Answer:
D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - x + 4 ← is in slope- intercept form
with y- intercept c = 4 → D