Answer:
A = w*6
Step-by-step explanation:
W = A/6
Multiply both sides by 6 using the multiplication property of equality.
A = W*6
or
A = W x 6
Hope this helps!
A cell phone plan charges $47.35 per month plus $13.94 in taxes, plus $0.60 per minute for calls beyond the 400-minute monthly limit. Write a piecewise-
defined function to model the monthly cost C(x) (in S) as a function of the number of minutes used for the month.
C(x).
18
for (Choose one) Y
for (Choose one) ▼
X
!!
The two pieces relate to the number of minutes used, since there's the 400-minute limit.
Piece #1: When you use less than or equal to 400 minutes:
Cost calculation: $47.35 + $13.94 = $61.29
Piece #2: When you use more than 400 minutes:
Cost calculation: $47.35 + $13.94 + $0.60(x-400)
The x-400 piece is because you're only charged the $0.60/minute beyond the 400 minutes, so 401 minutes needs just 1 minute of extra charge
Cost calculation cleaned up: 61.29 + 0.60x - 240 = 0.6x - 178.71
Now it looks weird to have that -178.71, but keep in mind that this is only used if x > 400.
[tex]C(x) = \left \{ {{61.29 ~~~~~~~~~~~~~~ \text{ if } ~0 \leq x\leq 400} \atop {0.6x - 178.71~~~~ \text{ if } x > 400} \right.[/tex]
Your system might not require the "0≤x", but it technically should be there.
More than 50 years after it jumped the species barrier and became one of the most devastating viruses to affect mankind, HIV remains a stubborn adversary. Treatment has improved dramatically over the past 20 years and now, a cure could be in sight. Source: The Guardian, November 30, 2018 Make a graph of the production possibilities frontier with HIV/AIDS cases treated on the x-axis and other goods and services on the y-axis before and after the advance in technology. Question content area bottom left Part 1 The opportunity cost of treating HIV/AIDS cases increases as more HIV/AIDS cases are treated. Draw a curve that shows the production possibilities for the world economy that produces HIV/AIDS treatments and other goods and services. Label the curve PPF0. Then draw the PPF that shows the effect of an advance in technology on HIV/AIDS treatments. Label the curve PPF1.
The production possibility frontier based on the information is attached.
What is the PPF about?PPF0 is the curve before technological progress. PPF1 is the the curve after the advance in technology.
Before the advance in technology, the opportunity cost of treating HIV/AIDS increases as the world moves down along its PPF.
After the advance in technology, the opportunity cost of treating more HIV/ AIDS cases decreases as the world has to give up less other goods and services to treat additional HIV/AIDS patients. Or, by giving up the same amount of other goods and services, world can treat more HIV/AIDS patients now.
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The width of a rectangle is fixed at 7 cm. Determine (in terms of an inequality) those lengths for which the area will be
less than 175 cm²
The lengths for which the area will be less than 175 cm² are less than 25 cm
How to determine the lengths of the areasFrom the question, we have the following parameters that can be used in our computation:
Width = 7 cm
Area = Less than 175 cm²
The formula of area is represented as
Area = Length * Width
Using the above as a guide, we have the following:
Length * Width < 175
substitute the known values in the above equation, so, we have the following representation
Length * 7 < 175
Divide by 7
Length < 25
Hence, the length is less than 25
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Solve -27 19 - 2x.
Enter your responses in the boxes.
-27 19 - 2x
H
-27-
23
-
-www
= -2x
1 = x
19-
-2x
Answer:
Simplifying
-27 = 19 + -2x
Solving
-27 = 19 + -2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '2x' to each side of the equation.
-27 + 2x = 19 + -2x + 2x
Combine like terms: -2x + 2x = 0
-27 + 2x = 19 + 0
-27 + 2x = 19
Add '27' to each side of the equation.
-27 + 27 + 2x = 19 + 27
Combine like terms: -27 + 27 = 0
0 + 2x = 19 + 27
2x = 19 + 27
Combine like terms: 19 + 27 = 46
2x = 46
Divide each side by '2'.
x = 23
Simplifying
x = 23
Anota una magnitud vectorial y explica tu respuesta
A physical quantity with both magnitude and direction is called a vector quantity.
A vector quantity is a physical quantity that has both magnitude and direction. One example of a vector quantity is velocity, which is defined as the rate of change of an object's position with respect to time. Velocity is a vector quantity because it has both a magnitude (speed) and a direction (the object's motion). For instance, if an object is moving with a speed of 20 meters per second to the north, its velocity would be 20 meters per second north. If the object's direction changes to east, its velocity would become 20 meters per second east. Therefore, velocity is a vector quantity because its value depends not only on the speed of the object but also on the direction in which it is moving.
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Complete Question
Write down a vector quantity and explain your response.
In the triangle below, WXY is a equilateral triangle and XZ and WY
In the given equilateral triangle XYZ the relation which is true is WX = 2WZ. So option C is correct.
What are properties of equilateral triangle?An equilateral triangle is a particular kind of triangle in which the lengths of the three sides are equal. These are a few of its main characteristics:
Congruent angles exist for all three: An equilateral triangle has 60 degrees for each angle.
The three parties all agree: The perimeter of an equilateral triangle is three times the length of any one side because each side is the same length.
For any side, the same line serves as the altitude, median, and angle bisector:
A line segment perpendicular to the other side and drawn from one vertex is the altitude. A line segment called the median is drawn from one vertex to the middle of the other side. The line segment known as the angle bisector divides the angle made up of two sides.
Given that,
The triangle XYZ,
It is known that,
All the sides in the equilateral triangle are equal,
So it can be written as,
⇒ WX = WY = XY
⇒ WY = 2WZ = 2ZY
Therefore,
⇒ WX = 2WZ
Hence, the correct relationship is WZ = 2WZ.
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Answer:
WX=2 times WZ
Step-by-step explanation:
i just took the quiz on apex
Refrigerator a uses 500 watts per hour when the motor is operating. The motor needs to run an average of 12 hours per day, every day, to stay at a constant, cold temperature. This model of refrigerator lasts an average of 20 years before it needs to be replaced and costs $1,000. Each kwh of electricity costs $0. 12.
To determine the total energy consumption of refrigerator A in a day, we need to first convert the power usage from watts to kilowatts.
500 watts/hour * 1 kilowatt/1000 watts = 0.5 kilowatts/hour
Next, we can calculate the energy consumption in kilowatt-hours (kWh) per day:
0.5 kilowatts/hour * 12 hours/day = 6 kilowatt-hours/day
To find the daily cost of running the refrigerator, we can multiply the energy consumption by the cost per kWh:
6 kWh/day * $0.12/kWh = $0.72/day
To calculate the yearly cost of running the refrigerator, we can multiply the daily cost by 365 days:
$0.72/day * 365 days = $262.80/year
To calculate the total cost of running the refrigerator for 20 years, we can multiply the yearly cost by 20:
$262.80/year * 20 years = $5,256.00
In addition to the cost of running the refrigerator, there is also the cost of purchasing the unit itself. In this case, the cost is $1,000.
Therefore, the total cost of owning and operating Refrigerator A for 20 years is:
$5,256.00 (operating cost) + $1,000.00 (purchase cost) = $6,256.00
It's worth noting that this calculation assumes that the cost of electricity remains constant over the 20-year lifespan of the refrigerator. In reality, the cost of electricity may increase over time, which would increase the overall cost of running the refrigerator.
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You (or your parents) purchase a new car for $19,725.00 plus 4.75% sales tax. The down payment is $2,175.00 and you (or your parents) have an average credit rating. How much interest is accrued after the first month?
Answer:
$90.12
Step-by-step explanation:
The principal amount of the loan is ...
(sale price)(1 + sales tax rate) - (down payment)
= $19,725×1.0475 -2175 = $18,486.94
For a secured loan, the APR charged for an average credit rating appears to be 5.85%, so the interest for the first month is
i = Prt = ($18,486.94)(0.0585)(1/12)
i = $90.12
in a certain test, there is a multiple choice question with the possible answers a, b, c, d, and e. By randomly guessing, the chances of getting the correct answer are stated as "1 in 5."Express the indicated degree of likelihood a a probability value between 0 and 1 inclusive
how many groups of 1/2 in a 8
Answer:
Step-by-step explanation:
y=16. There are sixteen 1/2 in 8
PREMISES
y=8/.5
CALCULATIONS
y=8/.5
y=8(2)
y=
16
PROOF
If y=16, then the dependent value D(y) 8/.5 returns
y(.5)=8
Translate into a variable expression then simplify, a number minus the sum of the number and 6
Answer:
Translates to x-(x+6) which simplifies to -6
=====================================================
Explanation:
x = some number
x+6 = the sum of x and 6
x-(x+6) = subtract the previous amount from x
x-x-6 .... distribute the negative through to each term
-6
No matter what number you started with, you'll always end up with -6 as the fully simplified answer. The x variables cancel.
Example:
Pick 10 as the starting number. Subtract off 10+6 = 16 to get 10-16 = -6.
Complete the sentence below.
2570 is ten times smaller than?
Answer:
2570 is ten times smaller than 25700
Step-by-step explanation:
If your car gets 33 miles per gallon, how much does it cost to drive 350 miles when gasoline costs $2.80 per gallon?
Answer:
$29.68 to drive 350 miles
Step-by-step explanation:
To find the cost of driving 350 miles, we first need to calculate the amount of gasoline required for driving 350 miles. We can use the formula:
gasoline = distance ÷ miles per gallon
Plugging in the given values:
gasoline = 350 ÷ 33
gasoline = 10.606060606060606
So, we need 10.61 gallons of gasoline to drive 350 miles.
Next, we multiply the amount of gasoline needed by the cost per gallon to find the total cost:
total cost = gasoline × cost per gallon
total cost = 10.61 × 2.80
total cost = 29.6780
Therefore, it would cost approximately $29.68 to drive 350 miles when gasoline costs $2.80 per gallon and your car gets 33 miles per gallon.
Answer: 350 mi * 1 gal / 33 miles * $2.80 / 1 gal = 29.69$
which means the cost is 2.8*(350/33)=29.69$
Step-by-step explanation:
Here, 2.80$/1 Gal.
Now we need to cancel out gallons, so we add a ratio with gallons.
2.80$/1 Gal. x 1 Gal/33 mi.
Now add the last data element to cancel out miles.
2.80$/1 Gal. x 1 Gal/33 mi. x 350 mi.
Cancelling out units and numbers gives,
(2.80$ x 350)/33. Continue reducing to an answer:
980$/33 = 29.69$
which expression is equivalent to 2^3/2^7
Answer:
Below
Step-by-step explanation:
2^3 / 2^7 = 2^(3-7) = 2^(-4) = 1/ (2^4) = 1/16 = .0625
~~~~pick your poison
The required expression [tex]2^3/2^7[/tex], after simplification is equivalent to 1/16.
To simplify the expression [tex]2^3/2^7[/tex], we can apply the rule of exponentiation that states when dividing two numbers with the same base, we subtract the exponents.
In this case, the base is 2.
Using the rule, we subtract the exponent of the denominator from the exponent of the numerator:
[tex]2^3/2^7 = 2^{7} = 2^{-4}[/tex]
The expression [tex]2^{-4}[/tex] can be further simplified by using the rule that states any number raised to a negative exponent is equal to the reciprocal of the number raised to the positive exponent:
[tex]2^{-4} = 1/2^4[/tex]
= 1/16
Therefore, the expression [tex]2^3/2^7[/tex] is equivalent to 1/16.
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The tool crib is 144 inches. How many 12 inches pieces can you cut from it
Answer:
Step-by-step explanation:
12
144 divided by 12 is 12
Martin gives 40% of £75 to his sister. How much money does Martin give to his sister?
Answer:
Step-by-step explanation:
75 x 0.40= £30
Omg. Someone please help me with this please
Answer:
122.3°
Step-by-step explanation:
Vertical angles are congruent. That means that they have the same measurement.
1. Find the semester GPA for the following. Show or explain your work.
Class Credit Hours Grade
MAT 171 4 C
HEA 112 2 A
ENG 111 3 B
ACA 111 1 D
BIO 112 4 A
2. Annie is a junior at a local university. She has 80 credit hours and a GPA of 2.1.
She wants to raise her GPA for a scholarship this semester.
She takes 16 credit hours and makes all A's, earning a 4.0 for this semester.
Annie averages the previous GPA of 2.1 and the current semester GPA of 4.0. She adds 2.1 + 4.0, then divides by 2, obtaining 3.05.
She believes she should now have a GPA of 3.05.
Is her reasoning correct? Justify your answer with 2 - 3 sentences.
Answer:
aiaiiwakkaoajdjsjzjhsjaj
Select the correct answer.
Which expression is equivalent to sin (2x) cos x?
The equivalent trigonometric expression to sin(2x)cos(x) is given as follows:
sin(2x)cos(x) = 2sin(x)cos²(x).
How to obtain the equivalent trigonometric expression?The expression for this problem is defined as follows:
sin(2x)cos(x).
The trigonometric identity used to simplify sin(2x) is given as follows:
sin(2x) = 2sin(x)cos(x).
Hence the expression can be written as follows:
sin(2x)cos(x) = 2sin(x)cos(x)cos(x)
sin(2x)cos(x) = 2sin(x)cos²(x).
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In an experiment with oat, the mean yield was 52.8 bushels per acre and the experimental
error variance was 20.31 with 36 df. A similar experiment under somewhat different
circumstances might have ȳ = 48.4 and s
2
= 45.06with 24 df.
Assuming the error variances are not homogeneous, test the null hypothesis that the
two population means are equal using a t-test at the 95% level of confidence.
Answer:
To perform a t-test for the equality of two population means with unequal variances, we can use the Welch's t-test. In this test, the formula for the t-statistic is:
t = (x1 - x2) / sqrt(s1^2/n1 + s2^2/n2)
Where x1 and x2 are the sample means, s1^2 and s2^2 are the sample error variances, and n1 and n2 are the degrees of freedom for the two samples.
Plugging in the given values, we have:
t = (52.8 - 48.4) / sqrt(20.31/36 + 45.06/24) = 4.25
Next, we need to find the critical t-value from the t-distribution table with degrees of freedom equal to the smaller of n1 and n2, which is 24. With a 95% confidence level, the critical t-value is approximately 2.492.
Since our calculated t-statistic (4.25) is greater than the critical t-value (2.492), we reject the null hypothesis that the two population means are equal. This suggests that there is strong evidence that the mean yield of oats is different between the two experiments.
Step-by-step explanation:
Please hurry!! Write one complete sentence to interpret the solution of the graph below.
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
The coordinates of points where the two lines intersect, is the solution of the equations/lines, that is (6, 64)
6) The sides of a triangle are 3x, 2 and 9. If you know that all the sides are whole numbers,
determine the value of x and the third side of the triangle. Is the triangle acute, obtuse, or
right?
The requried two sides are equal, this triangle is an isosceles triangle, which means that two of the angles are equal to 45 degrees or less, and the triangle is acute.
What is the isosceles triangle?A triangle with two sides and two congruent angles is called an isosceles triangle.
To determine the value of x and the third side of the triangle, we need to first ensure that the triangle is a valid triangle, meaning that the sum of the lengths of the two shorter sides must be greater than the length of the longest side.
In this case, the two shorter sides are 2 and 3x, and the longest side is 9. We have,
2 + 3x > 9
Solving for x, we get:
3x > 7
x > 7/3
Since x must be a whole number, the smallest possible value for x that would make the triangle valid is 3. With x = 3, the third side of the triangle would be 3 × 3 = 9, which is equal to the longest side.
Therefore, the triangle has sides 2, 9, and 9.
Since two sides are equal, this triangle is an isosceles triangle, which means that two of the angles are equal to 45 degrees or less, and the triangle is acute.
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Bailey is making festive cookie bags. She tried to split all her cookies evenly by putting 15 per bag, but the last bag had only 14 cookies. So, she tried putting 10 cookies per bag, but the last bag had only 9. Her mom brought 2 more cookies. Now, Bailey tries 9, then 8, cookies per bag, but she can’t do it. Finally, Bailey puts 7 cookies in each bag evenly! What is the least possible total number of cookies?
The least possible total number of cookies are 21.
What is total?A total is a whole or complete amount, and "to total" is to add numbers or to destroy something. In math, you total numbers by adding them: the result is the total.
Given that, Bailey is making festive cookie bags. She tried to split all her cookies evenly by putting 15 per bag, but the last bag had only 14 cookies.
Here, 15+14=29
29 is our first number. Bailey cannot evenly split the cookies into each bag with that amount of cookies, so we must move on to the next number.
Now, 10+9+2=21
21 can be divided 3 times by 7. Now we know the least amount of cookies total, is 21.
Therefore, the total number of cookies are 21.
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100 points!!!!
An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession
and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.
Compute the probability of each of the following events.
Event 4: The sum is greater than 6.
Event B: The sum is not divisible by 3 and not divisible by 6.
Round your answers to two decimal places.
There are 36 possible outcomes from rolling a die twice (or two dice once) and these result in sums from 2 to 12.
Possible ways to make a sum of 2: 1
Possible ways to make a sum of 3: 2
Possible ways to make a sum of 4: 3
Possible ways to make a sum of 5: 4
Possible ways to make a sum of 6: 5
Possible ways to make a sum of 7: 6
Possible ways to make a sum of 8: 5
Possible ways to make a sum of 9: 4
Possible ways to make a sum of 10: 3
Possible ways to make a sum of 11: 2
Possible ways to make a sum of 12: 1
This means there are 21 ways to make a sum greater than 6.
21/36 ≈ 58.33%
There are 24 ways to make sums that are not divisible by 3 and not divisible by 6. (Note that if a number isn't divisible by 3, it's also not divisible by 6, so that's a weird thing to include.)
24/36 ≈ 66.67%
That standard deviation of the ages of class members is 14.8. Find the range of ages that are within one standard deviation of the mean age.
I am so confused… brainlest if you answer quick and correct.. Ty.
The range of ages that are within one standard deviation of the mean age are given as follows:
M - 14.8 ≤ M ≤ M + 14.8.
In which M is the mean age.
How to obtain the range?The standard deviation of a data-set is given by the square root of the sum of the difference squared between each observation and the mean, divided by the number of observations.
The values that are within one standard deviation of the mean M have the bounds given as follows:
Lower bound: M - 14.8 -> one standard deviation below the mean.Upper bound: M - 14.8 -> one standard deviation above the mean.More can be learned about the standard deviation of a data-set at https://brainly.com/question/475676
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A 10-ft board is cut into 2 pieces so that one piece is 6 ft longer than 3 times the shorter piece. If the shorter piece is x feet long, find the lengths of both pieces
The length of the both pieces are 1ft and 9ft respectively. Option C
How to determine the lengthsWe have from the information given that;
The shorter side = xThe longer side = 6 + 3xThe total length = 10ftNow, substitute the values, we get
x + 6 + 3x =10
Collect the like terms
x + 3x = 10 -6
Add the like terms
4x = 10 - 6
Substract the like terms
4x = 4
Make 'x' the subject of formula by dividing both sides by 4, we get;
x = 4/4
divide the values
x = 1
Thus, the values are 1ft and 9ft
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1: Amelia is organising a game for a charity fête.
She has put 1 orange, 1 pink, 1 green and 2 yellow counters into a bag.
To play, each person will pay £1 and take out a counter at random.
They will then replace the counter and then take a second counter at random.
The person will win £2.50 if both counters are the same colour.
autet
Amelia expects 200 people to play the game.
How much money would Amelia expect to raise for charity?
The amount of money that Amelia is expected to raise is given as follows:
£78.13.
How to obtain the expected amount?The outcomes of a person winning, and their probabilities, as given as follows:
Two orange: 1/4 x 1/4 = 1/16.Two pink: 1/4 x 1/4 = 1/16.Two yellow: 2/4 x 2/4 = 4/16.Hence the probabilities of winning and losing are given as follows:
Winning: 6/16.Losing: 10/16.Then the distribution of earnings for each person is given as follows:
P(X = -1) = 10/16. -> Lose.P(X = 2.5) = 6/16 -> wins.Hence, considering 250 people, the expected amount raised is given as follows:
E(X) = 250/16 x (2.5 x 6 - 1 x 10)
E(X) = £78.13.
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Please help:) calculus asking about delta functions
The value of delta such that the statement is true is:
δ = 0.0002
How to find delta?
We want to find δ such that:
if |x -3| < δ, then |5x - 15| < ε
So we have two absolute value inequalities to work with.
With ε = 0.001
If we take the second inequality and replace epsilong, we will get:
|5x - 15| < 0.001
We can take 5 as a common factor on the left side to get:
5*|x - 3| < 0.001
Dividing both sides by 5 gives:
|x - 3| < 0.001/5
|x - 3| < 0.0002
Then the value of delta is 0.0002.
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ax+bx=c make x subject
Answer:
x=c/(a+b)
Step-by-step explanation:
ax+bx=c
x(a+b)=c
x(a+b)/(a+b)=c/(a+b)
x=c/(a+b)
Answer:
[tex]x=\dfrac{c}{a+b}[/tex]
Step-by-step explanation:
To make x the subject of the equation ax + bx = c, rearrange the equation using algebraic operations to isolate a single x-variable.
Given equation:
[tex]ax + bx = c[/tex]
Factor out x from the left side of the equation:
[tex]x(a+b)=c[/tex]
Divide both sides of the equation by (a + b):
[tex]\dfrac{x(a+b)}{(a+b)}=\dfrac{c}{(a+b)}[/tex]
Simplify:
[tex]x=\dfrac{c}{a+b}[/tex]
What value of x will make the triangles similar by the SSS similarity theorem?
The required value of x is equivalent to 30 units.
What is Similarity?The state of likeness can be referred to as a similarity. When two elements, things, ideas, or people resemble one another, they are said to be similar. Example: In terms of the number of sides, a square and a rectangle are comparable ( four sides for each). The state of being different can be used to define a difference.
According to question:To find the value of x we will use the similarity which corresponding sides of similar triangle are Proportional.
So;
50/x = 75/45
2/x = 3/45
x = 30 units
Thus, required value of x is 30 units.
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