I buy a shirt for $50. It was marked down 30%. What was the original price?
Answer:
$65
Step-by-step explanation:
50 x 0.30
= 15
50 + 15
= 65
Given the arithmetic sequence 2, -7, -16, -25, ..., determine the
general term tn.
Answer:
Step-by-step explanation:
Common difference is -9.
t_1 = 2
t_n = t_1 - (n-1)9
= t_1 - (9n - 9)
= 2 - (9n - 9)
= 11 - 9n
Hector knows there is a relationship between the number of cars and the time it takes him to was it
Wats the independent quantity and dependent quantity
The independent quantity is time and dependent quantity is number of cars washed .
Independent variables are variables that are manipulated or modified by the experimenter and are assumed to directly influence the dependent variable. For example, assign participants to a drug or placebo condition (independent variable) and measure changes in anxiety intensity (dependent variable). The dependent variable is the variable that is tested and measured in the experiment and is the "dependent". ' about the independent variable. An example of a dependent variable is depression symptoms that depend on the independent variable (type of treatment).In the given relation between the number of cars and the time .
The relationship between the number of cars he washes and the time it takes to wash those cars represents a proportional variation
Let y -----> number of cars he washes
x ------> time
The linear equation is y = kx
The independent variable is time x .
The dependent variable is the number of cars he washes, y .
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Complete the following proof.
Given:
Prove: AB =~ BW
Answer:
.
Step-by-step explanation:
Step 4: AW = WP
Step 5: triangle AWB = triangle PWR by AAS
Step 6: RW = BW by corresponding sides of congruent triangles are congruent
Solve the following system using substitution
x − 5 y = 32
2 x − 9 y = 57
Answer:
x= - 3 and y= - 7
Step-by-step explanation:
Answer:
X = -3
Y = -7
Step-by-step explanation:
Hope this helps. Pls give brainliest.
Five students wrote a test and the scores were as follows:5,3,7,9 and x. If their total score was 30 find the value of x
Answer:
The value of X is 6.
Step-by-step explanation:
5 + 3 + 7 + 9 = 24
30 - 24 = 6
X = 6
The difference is 6.
Suppose that e and f are events in a sample space and p(e)=2∕3, p(f)=3∕4, and p(f∣e)=5∕8. find p(e∣f)
On solving the provided question we cans ay that - probability, using Bayes' Theorem, \(p(e/f) = 5/9.\)
What is probability?A probability is a numerical representation of the possibility or probability that a specific event will take place. Probabilities can alternatively be stated as percentages ranging from 0% to 100%, or as percentages from 0 to 1. the likelihood that a given occurrence will take place. (2): The proportion of the number of outcomes in an exhaustive set of equally likely options that result in a certain event to all conceivable outcomes. The probability that something will occur is the foundation for it. The foundation of theoretical probability is the justification of probability. For instance, the theoretical likelihood of receiving heads while tossing a coin is 1/2.
The equation to obtain a probability
\(P(A|B) = P(A) * P(B|A) / P(A)\)
Now, as
\(p(e|f) = (2/3 * 5/8)/3/4\\p(e|f) = 2/3 * 5/8 * 4/3\\p(e|f) = 5/9.\\\)
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2. Faith is a 95% free throw shooter. At practice, each player shoots 20 free throws. Let
X = the number of free throws Faith makes out of 20 shots.
Answer:
19
Step-by-step explanation:
So if you want to find out what x is then you would try to find 95% of 20 which is 19. She made 19 of her free throws.
During taylor's first test of a car with a mass of 250 grams, she recorded 10 seconds, 10.3 seconds, and 10.4 seconds for her 3 trials. what would be the mean value she would use to compare with the other cars?
The mean value Taylor would use is 10.23 seconds.
What is the mean value of Taylor's recorded times for her car's trials?To calculate the mean value for Taylor's recorded times, we add up the individual times (10 seconds, 10.3 seconds, and 10.4 seconds) to obtain a total of 30.7 seconds.
we divide this total by the number of trials, which in this case is 3.
30.7 seconds divided by 3 equals approximately 10.23 seconds.
The mean value of Taylor's recorded times for her car's trials is approximately 10.23 seconds.
The mean value is often used as a measure of central tendency to represent the average of a set of values.
In this case, it represents the average time recorded by Taylor during her trials.
By calculating the mean, we can compare this value with the mean times of other cars to assess performance.
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The equation of the line with slope = 3, going through point (2, 4) is:
\((\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\hspace{10em} \stackrel{slope}{m} ~=~ -3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{-3}(x-\stackrel{x_1}{2}) \\\\\\ y-4=-3x+6\implies y=-3x+10\)
50 POINTS PLZ HELP NO LINKS This renewable energy project promises to provide numerous benefits to our state. These include an increase in jobs and a secure and sustainable source of energy. This project will make dollars and make sense for all of us. What effect is the underlined phrase meant to have on the argument?
1 It intends to show how important jobs in renewable energy will become.
2 It emphasizes humor to help make the subject more interesting to readers.
3 The pun on sense helps call attention to the economic soundness of the project.
Answer: 3 The pun on sense helps call attention to the economic soundness of the project.
Step-by-step explanation:
The underlined phrase is the last statement and it is a pun that is meant to show that the plan is a good one because it will both increase jobs and is good for the environment which means that it is sound from both an economic and an environmental perspective.
In using the pun, the entire argument for the project was summarized to show the basic benefits of the plan and show how it would benefit the people.
What is the x-intercept of the equation y = 2/3x + 12? Please explain each step for better understanding, thank you:)
Answer:
(-18, 0)
Step-by-step explanation:
The x intercept has a y value of 0. So, to find the x intercept, plug in 0 as y into the equation, and solve for x:
y = 2/3x + 12
0 = 2/3x + 12
-12 = 2/3x
-18 = x
So, the x intercept is (-18, 0)
From the given list, select the expanded form of the given binomial.
(x - 7)²
Answer:
the expanded form for (x - 7)² is:
x² - 14x + 49
Find the value of 0.7x0.08
Answer:
0.056
Step-by-step explanation:
For decimals, you just multiply, and the hundredths would stay, so the answer is 0.056, because 8 x 7 = 56!
Answer:
0.056
Step-by-step explanation:
7*8 is 56 right
looking at 0.7 how many numbers are before that dot
1 right which is seven
then 0.08 has how many digits before the dot thing
2 right which is 0 and 8
in total making three
then in 56 move three times forward from behind
1 5.6
2 0.56
3 0.056
and thats how we got this
dont confuse this technique with numbers like 0.80
the zero at the end of that number is not needed
that is to say that
0.80 = 0.8
when theres a zero at the back of a decimal its not counted
e.g
0.50= 0.5
0.4000000= 0.4
hope this helped
Find an equation of the plane through the point and perpendicular to the given line. (-2, 9, 10) x = 5 + t, y = 3t, z = 4 - 3t
Let A be the point (-2, 9, 10) and n be the normal vector of the plane. The direction vector of the line is <1, 3, -3>, and since the plane is perpendicular to the line, n is orthogonal to the direction vector.
So, n is a vector that satisfies:
n . <1, 3, -3> = 0
The equation of the plane can be written in the form:
n . (x - A) = 0
Where x = (x, y, z) is any point in the plane.
We can find n by taking the cross product of two non-parallel vectors in the plane, such as <1, 0, 0> and <0, 1, 0>. Then,
n = (1, 0, 0) x (0, 1, 0) = (0, 0, 1)
Substituting the values of A and n into the equation of the plane, we get:
0 . (x - (-2, 9, 10)) = 0
0 . (x + 2, y - 9, z - 10) = 0
z - 10 = 0
z = 10
So the equation of the plane is:
z = 10
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pls explain this to me!!
A) C(7) represents the cost of an Uber for 7 miles. Since 'm' is the cost for m miles, '7' is the cost for 7 miles.
B) If Todd's total bill was $30, that means the cost (C) is 30. Replace C with 30.
30 = 1.5m+4.5
Now solve this equation.
30-4.5 = 1.5m+4.5-4.5
25.5 = 1.5m
m = 17
If Todd's total bill was $30, his Uber ride was 17 miles.
5(4x+3)-2x
What is equivalent to this expression
Answer:
So the expression is equivalent to 18x + 15.
Step-by-step explanation:
The expression 5(4x+3)-2x simplifies to:
= 20x + 15 - 2x (distributing the 5)
= 18x + 15 (combining like terms)
So the expression is equivalent to 18x + 15.
Write the slope-intercept form of the ec
3x-2y=-16
The equation in the slope-intercept form is:
y = 8 + (3/2)x
How to write the line in the slope-intercept form?Herewe have the linear equation:
3x - 2y = -16
And we want to write it in the slope-intercept form.
To do that, we need to isolate the variable y.
We will get:
3x - 2y = - 16
-2y = -16 - 3x
y = (-16/-2) + (-3/-2)x
y = 8 + (3/2)x
That is the equation written in the slope-intercept form.
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HELP ME PLEASE! QUESTION IS IN LINK
Find the perimeter of the composite figure 20 POINTS AND BRAINLIEST
Answer:
Step-by-step explanation:
We know the bottom of the triangle is 5 cm and the top of the rectangle is 5 cm, but we need to find the sides.
The height of the triangle is 8 cm, we know this as we do 18 - 10 = 8 because we subtract the rectangle from the whole figure which leaves us the triangle.
We split the triangle into 2 parts. The bottom part is now each 2.5 cm.
Then we use the Pythagorean theorem.
Check my work on the picture for how I do it for which it leads to the sided of the triangle.
Now adding the sides of the whole perimeter we just focus on the outer regions.
Two parts from the triangle which both add up to 15.20 cm and the rectangle is 25 cm, you ignore the segment inside the figure.
25 + 15.20 = 37.20 cm.
Jeanine is selecting various albums to be displayed in the front of her music coffee house. She will be choosing 4 albums for
one part of the display. This part of the display is very prominent and she is really trying to promote jazz. There are five albums
from Diana Kroll, seven albums from Harry Connick Jr. and four albums from Michael Bublé. In how many ways can she choose
four albums for display and at least two albums are from Diana Kroll? Evaluate using both the direct and indirect method.
Gt11.2014
Answer:
The number of ways she can choose four albums for display with at least two from Diana Kroll is from the sixteen albums is 665 ways
Step-by-step explanation:
1) The number of ways she can choose 2 albums of Diana from the 5 Diana Kroll albums is 5!/(2!(5 - 2)!) = 10 ways
Choosing the other 2 albums from the remaining 11 albums gives;
11!/(2!(11 - 2)!) = 55 ways
Total number of ways is then 10 × 55 = 550 ways
Choosing 3 from the 5 Diana Kroll albums is 5!/(3!(5 - 3)!) = 10 ways
Choosing the other 1 album from the remaining 11 albums gives;
11!/(1!(11 - 1)!) = 11 ways
Total number of ways is then 10 × 11 = 110 ways
Choosing 4 from the 5 Diana Kroll albums is 5!/(4!(5 - 4)!) = 5 ways
Choosing the other 0 album from the remaining 11 albums gives;
11!/(0!(11 - 0)!) = 1 way
Total number of ways is then 5 × 1 = 5 ways
Total number of ways = 550 + 110 + 5 = 665 ways
2) In the indirect method, we first find the number of ways to choose 4 albums out of the 16 albums, then we subtract the number of cases where there are 1 and 0 Diana Kroll albums as follows;
16!/(4!(16 - 4)!) = 1820 ways
With 1 Diana Kroll album gives
5!/(1!(5 - 1)!)×11!(3!(11 - 3)!) = 825 ways
With 0 Diana Kroll album gives
5!/(0!(5 - 0)!)×11!(4!(11 - 4)!) = 330 ways
Total number of ways with at least 2 Diana Kroll albums = 1820 - 825 - 330
Total number of ways with at least 2 Diana Kroll albums = 665 ways.
BC is twice the length of AB and CD is twice the length of BC. If AG is 140 inches long, how many inches long is EF ?
From the given information provided, if AG is 140 inches long, then the length of EF is 80 inches.
Let's start by assigning a variable to the length of AB. We'll use x, so BC is 2x and CD is 4x (since CD is twice the length of BC). The total length of the line segment from A to D is therefore:
AD = AB + BC + CD = x + 2x + 4x = 7x
We know that AG is 140 inches long, so we can set up a proportion to find the length of EF. Specifically, the ratio of AG to AD is equal to the ratio of EF to CD:
AG/AD = EF/CD
Substituting in the values we know:
140/7x = EF/4x
Cross-multiplying:
140 × 4x = 7 x EF
Simplifying:
560 = 7 x EF
Dividing both sides by 7x:
EF = 80
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pls answer the image below
could anyone help me please 10x2y+4x2y
Answer:
The Answer is 28y
Step-by-step explanation:
Answer:14x+4y
Step-by-step explanation:
A bicycle is $189. There is a 5% sales tax. How much will the tax on the bike be?
Answer:
94.50$
Step-by-step explanation:
Solve: log x = 2 (note: x is a subscript)
Answer:
Wouldn't it be just 2 since it's already solved
Christine purchased a prepaid phone card for $25 . Long distance calls cost 21 cents a minute using this card. Christine used her card only once to make a long distance call. If the remaining credit on her card is $17.23 , how many minutes did her call last?
Answer : 37 minutes
Step-by-step explanation:
Subtract 25 and 17.23 then divide by 0.21
25-17.23=7.77 divide by 0.21 (21 divided by 100) =37
At a distance of 6 meters, a person with average vision is able to clearly read letters 1.0 cm high.Approximately how large do the letters appear on the retina? (Assume that the retina is 1.7 cm from the lens.)
The size of the letters appear on the retina is 0.00289 cm
Given data:
To determine the size of the letters on the retina, use the concept of angular size and the relationship between object size, distance, and angular size.
Angular size is the measure of the angle subtended by an object as seen from a particular point, in this case, the eye.
Angular size = Object size / Distance
Object size = 1.0 cm
Distance = 6 meters
Angular size = 1.0 cm / 6 meters
To convert the distance to centimeters, multiply by 100:
Angular size = 1.0 cm / (6 meters * 100 cm/meter)
Angular size = 1.0 cm / 600 cm
Angular size = 0.0017 radians
The angular size of the letters is 0.0017 radians.
Now, to determine the size of the letters on the retina, calculate the linear size on the retina using the angular size and the distance from the lens to the retina.
Linear size on retina = Angular size * Distance from lens to retina
Angular size = 0.0017 radians
Distance from lens to retina = 1.7 cm
Linear size on retina = 0.0017 radians * 1.7 cm
Linear size on retina ≈ 0.00289 cm
Hence, the letters appear to be approximately 0.00289 cm in size on the retina.
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Chandler wants to raise 200$ to buy a new gaming system. He already has 80$ and plans to save 40$ a week. How many weeks will it take chandler to raise enough money to buy his gaming system?
Answer:
3 weeksStep-by-step explanation:
Step one:
given data
expected amount =$200
cash already at hand=$80
savings per week=$40
let the number of weeks be x
Step two:
the linear function for the situation is the same as the equation of a straight line
y=mx+c------1
200=4x+80
solve for x
200-80=40x
120=40x
divide both sides by 4
x=120/40
x= 3 weeks
Chandler will save for 3 weeks
1/2 (3g - 2) = g/2 I need help
Answer:
g = 1
Step-by-step explanation:
1/2 (3g - 2) = g/2
3g - 2 = g
3g = g + 2
3g - g = 2
2g = 2 ÷ 2
g = 1
3 lbs of chicken costs 15 dollars, how much would 7 lbs of chicken cost
Answer:
105
Step-by-step explanation:
7x15=105
Answer: 35
Step-by-step explanation:
If you multiply 5X7 it gives you 35 if 3lbs cost 15 that means every lb cost 5 , or you can add 5 +5 till you get 35