Answer:
B
Step-by-step explanation:
Probability 2
3 pairs of brown socks
4 pairs of black socks
14 pairs of white socks
what is the probability you will draw out a brown or black pair of socks
Help me please i beed this now
Answer:
well 5% of 600 is 30. so if you make 600 phone calls and an average of 5% of those calls are people signing up, then that would be 30.
y^-7 simplify or compute
Answer:
Step-by-step explanation:
First Use Negative Power Rule: Which is, \(x^-a=\frac{1}{x^a}\)
Then you simplfiy, and your answer will be \(\frac{1}{y^7}\)
Therefore, your answer is \(\frac{1}{y^7}\)
Consider the polygon in the xy-coordinate plane with vertices at points (-2,0), (3,0), (4,-3), and (2,-6). What is the most specific name for this polygon?
A. Kite
B. Parallelogram
C. Rectangle
D. Square
Answer: rectangle
Step-by-step explanation: Because I saw another Brainly answer saying it was rectangle
The points A, B, and C, shown on the number line, have weights 0.5, 0.3, and 0.2 respectively.
H
в с
2 3 4 5 6 7 8
9 10
Which statement is true about the weighted average, w, of the points A, B, and C?
w lies before A.
w lies beyond C.
w lies between A and B.
w lies between B and C.
Answer:
"w" (and any subsequent words) was ignored because we limit queries to 32 words.
w = 0.33 so, w lies before A, B, and C.
Option A is the correct answer.
What is a number line?It is the representation of numbers in real order.
The difference between the consecutive numbers in a number line is always positive.
We have,
Average weight.
w = Sum of all the weight / 3
w = (0.5 + 0.3 + 0.2) / 3
w = 1/3
w = 0.33
Now,
A = 3, B = 6, and C = 7 on the number line.
0.33 lies before A, B, C
Thus,
w lies before A.
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find the area of a rectangle with a length of 10 inches and a width of 4 inches
Answer:
40 in²---------------------
Formula for area of a rectangle with dimensions l and w is:
A = lwSubstitute 10 for l and 4 for w:
A = 10*4A = 40 in²How can you eliminate the y-terms in this system?
To eliminate the y-terms in this system of equations, we can multiply the second equation by 2 and add it to the first equation.
We have,
To eliminate the y-terms in this system of equations, we can multiply the second equation by 2 and add it to the first equation.
This will result in the y-terms canceling out, and we will be left with only x-terms on one side of the equation, which we can then solve for x.
So, multiplying the second equation by 2, we get:
2(3x + 4y) = 2(5)
6x + 8y = 10
Now, adding this to the first equation, we get:
4x - 8y + 6x + 8y = 20 + 10
10x = 30
Dividing both sides by 10, we get:
x = 3
Now, we can substitute this value of x back into either of the original equations to solve for y.
4x - 8y = 2
So,
4(3) - 8y = 20
12 - 8y = 20
-8y = 8
y = -1
Therefore,
The solution to the system of equations is (x, y) = (3, -1).
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The difference between an observational study and an experiment is thatin an observational study, only one group is studied, and in an experiment, two groups are studied.in an observational study, the researchers do not control treatment, and in an experiment, they do.in an experiment, cause-and-effect is analyzed, and in an observational study, it is not.in an experiment, one group is studied over a short period of time, and in an observational study, the group is studied over a longer period of time.
The difference between an observational study and an experiment is that in an observational study, the researchers do not control treatment, and in an experiment, they do
What is observational study and an experiment?In an observational study, it should be noted that the participants are measured or surveyed without any attempt to influence them. *
However the controlled experiment, participants or objects are divided into groups, and one group is given a treatment while the other is not.
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which expression is equivalent to -3x(2x-8)+4x
Answer:
2x ( -3x + 14)
Step-by-step explanation:
What is Distribution Property?
Distribution property is used in a format like a ( b + c ). To simplify these kinds of expressions, we multiply the outside term by each of the inside terms. So in this instance, a ( b + c ) is equal to ab + ac.
Let's put this in the expression3x ( 2x - 8 ) + 4x
Let's use what we learned above, and multiply the outside term (-3x) by each of the inside terms.
-3x · 2x + (-3x) · (-8) +4x
Simplify by multiplication:
-6x² + 24x +4x
Finally, we add:
-6x² +28x
Now, to simplify further, we can look for terms that show up in numbers.
We can see that the variable x is present in each of the terms, so we can factor that out, removing it from the term as follows:
x ( -6x + 28)
We can look and see that 2 is also a common factor between the two terms, so we can take that out too.
2x ( -3x + 14)
This is the most simplified it can get.
On a map, 1 inch equals miles. If two cities are 3 inches apart on the map, how far are they actually apart?
Answer: as many miles as 3 inches is
Step-by-step explanation:
To determine the actual distance between two cities when given a scale on a map, we can use the concept of ratios and proportions.
In this case, we are told that 1 inch on the map represents a certain number of miles. Let's say that 1 inch on the map represents x miles.
We can set up the following proportion:
1 inch / x miles = 3 inches / y miles
Using cross-multiplication, we have:
1 inch * y miles = 3 inches * x miles
Simplifying the equation:
y miles = 3 inches * x miles
Now, we can substitute the given value of 3 inches for the distance on the map:
y miles = 3 inches * x miles
To find the actual distance between the cities (y miles), we need to know the value of x, which represents the number of miles represented by 1 inch on the map. Without that information, we cannot calculate the actual distance between the cities.
In the real world, functions are mathematical representations of input-output situations. A vending machine is one such example. The input is the money combined with the selected button. The output is the product.
Here is another example: The formula for converting a temperature from Fahrenheit to Celsius is a function expressed as:
C = (5/9)*(F - 32), where F is the Fahrenheit temperature and C is the Celsius temperature.
If it is 77 degrees Fahrenheit in Phoenix Arizona, then what is the equivalent temperature on the Celsius thermometer?
Our input is 77.
C = (5/9)*(77 - 32)
C = (5/9)*(45)
C = 25
The equivalent temperature is 25 degrees Celsius.
To complete the Discussion activity, please do the following:
Choose your own function or choose from the list below and then provide a unique example of a function and evaluate the function for a specific input (like the example above).
Arm length is a function of height.
The circumference of a circle is a function of diameter.
The height of a tree is a function of its age.
The length of person's shadow on the ground is a function of his or her height.
Weekly salary is a function of the hourly pay rate and the number of hours worked.
Compound interest is a function of initial investment, interest rate, and time.
Supply and demand: As price goes up, demand goes down.
The correct answer is John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.
Let's choose the function "Weekly salary is a function of the hourly pay rate and the number of hours worked."Example: John works as a part-time employee at a grocery store. His hourly pay rate is $12, and he worked for 20 hours in a week. We can evaluate the function to find his weekly salary.
Weekly salary = Hourly pay rate * Number of hours worked
Weekly salary = $12/hour * 20 hours
Weekly salary = $240
So, John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.
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find the perimeter of a triangle where one side is 3cm , one side is 9cm and one side is 12cm
(a) 12cm
(b) 6cm
(c) 4cm
(d) 24cm
Answer:
(d) 24 cm
Step-by-step explanation:
When we're given the three sides of a triangle, one formula we can use for perimeter of a triangle is:
P = s1 + s2 + s3, where
P is the perimeter,and s1, s2, and s3 are the three sides:P = 3 + 9 + 12
P = 12 + 12
P = 24
Thus, the perimeter of the triangle is 24 cm
what is the point on the number line?
Answer:
\(-3\frac{2}{10}\)
Or for a more simplified version:
\(-3\frac{1}{5}\)
Step-by-step Explanation:
Between each whole number, it is divided into 10 lines. And the dot is 2 to the left of -3. So the point is \(-3\frac{2}{10}\). Or for a more simplified version: \(-3\frac{1}{5}\).
Hope this helps! :)
-5 1/3 divided by 2 3/4
Hey there!☺
\(Answer:\boxed{-1\frac{31}{33}}\)
\(Explanation:\)
\(-5\frac{1}{3}/2\frac{3}{4}\)
Divide both fractions.
\(\frac{-64}{33}\)
Simplify the improper fraction.
\(-1\frac{31}{33}\)
\(-1\frac{31}{33}\) is your final answer.
Hope this helps!
At midnight, the temperature was 43.7°F. In the morning, the temperature was −3.6°F. Which statement describes the temperature? (4 points)
a
At midnight, the temperature was 43.7 degrees above 0, and in the morning, it was 3.6 degrees lower.
b
At midnight, the temperature was 43.7 degrees below 0, and in the morning, it was 3.6 degrees higher.
c
At midnight, the temperature was 43.7 degrees below 0, and in the morning, it was 3.6 degrees above 0.
d
At midnight, the temperature was 43.7 degrees above 0, and in the morning, it was 3.6 degrees below 0
Answer:
At midnight, the temperature was 43.7 degrees above 0, and in the morning, it was 3.6 degrees below 0
Step-by-step explanation:
At midnight, the temperature was 43.7°F. In the morning, the temperature was −3.6°F.
We can say that −3.6 lie on the LHS of a number line while 43.7 lie on RHS of the number line and 0 at the mid.
43.7°F is above 0 and 3.6°F is below 0.
At midnight, the temperature was 43.7 degrees above 0, and in the morning, it was 3.6 degrees below 0 . Hence, the correct option is (d).
How are you able to determine whether or not a fraction is rational or irrational
only number 4, and please include the working. also do it with the substitution method not elimination or any other.
Answer:
x = -2 and y = 1
Step-by-step explanation:
→ Rearrange x - y = -3 to make y the subject
-y = - x - 3 so y = x + 3
→ Substitute into 2x + y = -3
2x + x + 3 = -3
→ Simplify
3x + 3 = -3
→ Minus 3 from both sides
3x = -6
→ Divide both sides by 3
x = -2
→ Substitute x value into first equation
-4 + y = -3
→ Add -4 to both sides
y = 1
suppose that an individual has a body fat percentage of 16.8% and weight 173 pounds. how many pounds of his weight is made up of fat? round to the nearest tenth
To determine how many pounds is made up of fat, multiply the given weight by the body fat percentage.
First, convert the percentage into decimal form.
\(16.8\%\Longrightarrow0.168\)Next, multiply it to the given weight
\(173\text{ pounds}\times0.168=29.064\text{ pounds}\)Rounding to the nearest tenth, 29.1 pounds is made up of fat on the total weight.
Write the rate in lowest terms.
A printer can print 14 pages in 56 sec.
The rate in lowest terms is ______ ?
Answer:
1 page in 4 sec.
Step-by-step explanation:
To find the rate in lowest terms, divide the 14 pages by 56 seconds and find the simplest fraction.
14/56 = 1/4 in simplest terms.
This means the rate is 1 page in 4 seconds.
Someone help with this equation
The answer is:
g(x + 1) = 6x + 1
g(4x) = 24x -5
Work/explanation:
To evaluate, I plug in x + 1 into the function:
\(\sf{g(x)=6x-5}\)
\(\sf{g(x+1)=6(x+1)-5}\)
Simplify
\(\sf{g(x+1)=6x+6-5}\)
\(\sf{g(x+1)=6x+1}\)
------------------
Do the same thing with g(4x)
\(\sf{g(4x)=6(4x)-5}\)
\(\sf{g(4x)=24x-5}\)
Hence, these are the answers.
Is this correct or incorrect …..
A zero has the same meaning as the vertex.
What is a vertex?The point where two lines meet forming an angle or set of angles is referred to as a vertex. This can also be called a point of origin especially when considering the axis of a Cartesian coordinate.
The vertex can be taken as zero since it is referred to as the point of origin. This is different to the axis of symmetry; as the axis of symmetry is one that splits a given plotted points i.e. a graph into two equal parts.
Thus, a zero has the same meaning as the vertex.
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Target buys pants for $6.42 and marks up the price for customers by 70%. How much do they sell pants for?
0.7\left(6.42\right)=\$4.490.7(6.42)=$4.49
$4.49 is not the correct answer. What is the mistake? Explain.
need to fill out these notes please help i have 8 more pages
Answer:
Step-by-step explanation:
Double check with your glossary.
Erin says the first step is to set Latex: 2x+72x+7equal to Latex: 5x-2\textsf{.}Antonio says the first step is to set Latex: 2x+72x+7plus Latex: 5x-25x−2equal to Latex: 180\textsf{.}Choose either Erin's or Antonio's statement and explain why it is correct or incorrect. If the statement is correct, explain how you know it's correct. If the statement is incorrect, explain why it's wrong.If you were to solve this problem, which steps would you take? Include any theorems, definitions, or reasons that explain the steps. Make sure you include all steps needed to solve for Latex: m\angle A\textsf{.}Please number your responses to the questions as they are shown (1 and 2).
1)
Point A is the center of the circle
DE is an arc
DC and CE are tangents to the circle.
Erin is incorrect because there is no theorem stating that the angle formed by two tangents to a circle is equal to the arc intercepted by the tangents.
Antonio is incorrect because there is no theorem stating that the sum of the angle formed by two tangents to a circle and the arc intercepted by the tangents is 180.
2) The first step is to apply the theorem which states that angle formed outside a circle by the intersection of two tangents to the circle is equal to the half of the difference between the measure of the intercepted arc. From the triangle, the intercepted arcs are
5x - 2 and
360 - (5x - 2) because the measure of the circumference of a circle is 360.
The angle formed by the tangents is 2x + 7. By applying the theorem, we have
2x + 7 = 1/2(360 - (5x - 2) - (5x - 2))
2x + 7 = 1/2(360 - 5x + 2 - 5x + 2))
2x + 7 = 1/2(360 + 2 + 2 - 5x - 5x)
2x + 7 = 1/2(364 - 10x)
By crossmultiplying, we have
2(2x + 7) = 1/2 * 2(364 - 10x)
4x + 14 = 364 - 10x
Adding 10x to both sides of the equation, we have
4x + 10x + 14 = 364 - 10x + 10x
14x + 14 = 364
Subtracting 14 from both sides of the equation,
14x + 14 - 14 = 364 - 14
14x = 350
Dividing both sides of the equation by 14, we have
14x/14 = 350/14
x = 25
The next step is to apply the central angle theorem which states that the angle formed by two radii with the vertex at the center of the circle is equal to the arc intercepted by the two radii. DA and AE are two radii and the angle formed is A.The arc intercepted is DE. By applying the central angle theorem,
Angle A = arc DE = 5x - 2
Substituting x = 25 into angle A = 5x - 2, we have
Angle A = 5 * 25 - 2 = 123
Angle A = 123 degrees
You buy rice at $0.71 a pound. One batch of rice requires 7 pounds of rice. How much does the rice for one batch cost? Round to the nearest cent
Answer:
4.97 or 5 dollars
Step-by-step explanation:
so basically just times them together
MARS On Mars, the gravity acting on an object is less than that on Earth. On Earth, a golf ball hit with an initial upward velocity of 26 meters per second will hit the ground in about 5.4 seconds. The height h of an object on Mars that leaves the ground with an initial velocity of 26 meters per second is given by the equation h=−1.9t2+26t
. How much longer will it take for the golf ball hit on Mars to reach the ground? What is the maximum height of the golf ball on Mars? Round your answer to the nearest tenth.
It takes about
seconds longer for the golf ball hit on Mars to reach the ground.
The maximum height of the golf ball on Mars is about
meters.
The maximum height of the golf ball on Mars is about 48.8 meters.
To find how much longer it would take for the golf ball hit on Mars to reach the ground, we can use the given equation h = -1.9t² + 26t, where h is the height of the object and t is the time in seconds. First, we need to find the time it takes for the golf ball to reach the ground on Mars. Setting h = 0, we get:
0 = -1.9t² + 26t
Solving for t using the quadratic formula, we get t = 13.684 or t = 0.856. Since the golf ball is launched upward, we need the positive value of t, so it takes about 13.7 seconds for the golf ball to reach the ground on Mars. Therefore, it takes 13.7 − 5.4 = 8.3 seconds longer for the golf ball hit on Mars to reach the ground than the golf ball hit on Earth.
To find the maximum height of the golf ball on Mars, we can use the formula h = -1.9t² + 26t, where t is the time when the height is maximum. Since the formula is a quadratic equation, the maximum height occurs at the vertex of the parabola, which is at t = -b/2a.
In this case, a = -1.9 and b = 26, so the time at maximum height is t = -26 / 2(-1.9) = 6.842. Plugging this value into the equation for h, we get:
= -1.9(6.842)² + 26(6.842) ≈ 48.8 meters
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G is a point that bisects line segment FH. If GH is 13.3 units long, how long is FH?
The length of line FH is 26.6 units.
What is Line Segment?A line segment is a part of a line that has two endpoints and a fixed length. It is different from a line that does not have a beginning or an end and which can be extended in both directions.
Here, G is the mid point of the line FH.
FG = GH
so, FG + GH = FH
GH + GH = FH
2GH = FH
FH = 2 X 13.3
FH = 26.6
Thus, the length of line FH is 26.6 units.
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Laura types 63 wpm. estimate how many words laura wpuld type
in 30 minutes
Answer:
1890
Step-by-step explanation:
In one minute, Laura types 63 words, all you have to do is multiply 63 x #of minutes :)
2. (7 points) If f(x) = -5 cosx+xtanx, find df and evaluate if x = pi/4 and dx = 1/24
The value of df, when x = π/4 and dx = 1/24, is (-5π - 5√2)/(96√2).
To find the derivative of the function f(x) = -5cos(x) + xtan(x), we'll use the sum and product rules of differentiation. Let's start by finding df/dx.
Apply the product rule:
Let u(x) = -5cos(x) and v(x) = xtan(x).
Then, the product rule states that (uv)' = u'v + uv'.
Derivative of u(x):
u'(x) = d/dx[-5cos(x)] = -5 * d/dx[cos(x)] = 5sin(x) [Using the chain rule]
Derivative of v(x):
v'(x) = d/dx[xtan(x)] = x * d/dx[tan(x)] + tan(x) * d/dx[x] [Using the product rule]
= x * sec^2(x) + tan(x) [Using the derivative of tan(x) = sec^2(x)]
Applying the product rule:
(uv)' = (5sin(x))(xtan(x)) + (-5cos(x))(x * sec^2(x) + tan(x))
= 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)
Simplify the expression:
df/dx = 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)
Now, we need to evaluate df/dx at x = π/4 and dx = 1/24.
Substitute x = π/4 into the derivative expression:
df/dx = 5(π/4)sin(π/4)tan(π/4) - 5(π/4)cos(π/4)sec^2(π/4) - 5cos(π/4)tan(π/4)
Simplify the trigonometric values:
sin(π/4) = cos(π/4) = 1/√2
tan(π/4) = 1
sec(π/4) = √2
Substituting these values:
df/dx = 5(π/4)(1/√2)(1)(1) - 5(π/4)(1/√2)(√2)^2 - 5(1/√2)(1)
Simplifying further:
df/dx = 5(π/4)(1/√2) - 5(π/4)(1/√2)(2) - 5(1/√2)
= (5π/4√2) - (10π/4√2) - (5/√2)
= (5π - 10π - 5√2)/(4√2)
= (-5π - 5√2)/(4√2)
= (-5π - 5√2)/(4√2)
Now, to evaluate df/dx when dx = 1/24, we'll multiply the derivative by the given value:
df = (-5π - 5√2)/(4√2) * (1/24)
= (-5π - 5√2)/(96√2)
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you are running a fuel economy study. one of the cars you find where blue
Answer:
Explanation:
For Blue Car:
Distance = 33 & 1/2 miles
Gasoline = 1 & 1/4 gallons
For Red Car:
Distance = 22 & 2/5 miles
Gasoline = 4/5 gallon
To determine the rate unit rate for miles per gallon for each car, we use the following formula:
\(Unit\text{ Rate = }\frac{\text{Distance}}{\text{Gasoline consumption}}\)First, we find the unit rate for blue car:
\(\begin{gathered} \text{Unit Rate=}\frac{33\text{ }\frac{1}{2}\text{ miles}}{1\text{ }\frac{1}{4}\text{ gallons}} \\ \end{gathered}\)Convert mixed numbers to improper fractions: 33 & 1/2 = 67/2 and 1 & 1/4 = 5/4
\(\begin{gathered} \text{Unit Rate = }\frac{\frac{67}{2}}{\frac{5}{4}} \\ \text{Simplify and rearrange:} \\ =\frac{67(4)}{2(5)} \\ \text{Calculate} \\ =\frac{134\text{ miles}}{5\text{ gallon}}\text{ } \\ or\text{ }26.8\text{ miles/gallon} \end{gathered}\)Next, we find the unit rate for red car:
\(\begin{gathered} \text{Unit Rate = }\frac{22\frac{2}{5}}{\frac{4}{5}} \\ \text{Simplify and rearrange} \\ =\frac{\frac{112}{5}}{\frac{4}{5}} \\ =\frac{112(5)}{5(4)} \\ \text{Calculate} \\ =28\text{ miles/gallon} \end{gathered}\)Therefore, the car that could travel the greater distance on 1 gallon of gasoline is the red car.