Answer:
\(\frac{2}{12}\) simplified to \(\frac{1}{6}\)
Step-by-step explanation:
4 = \(\frac{1}{12}\)
2 = \(\frac{1}{12}\)
\(\frac{1}{12}\) + \(\frac{1}{12}\) = \(\frac{2}{12}\) ÷ 2 = \(\frac{1}{6}\)
Spencer is working with his finande advisor to create some personal financial goals for the next year. One of his goals is to reduce the amount of debt
he has. Which statement could
his goal specific and timely?
He should focus intust his student loan debt and give himself a deadline of five years.
B. He should ask
end to be his accountability partner and remind him of his goal every two weeks.
le should review.
current finances to determine how much he can allocate to his goal.
He should pay
the minimum payment on his credit card statement each month.
Answer: A. He should focus on his student loan debt and give himself a deadline of five years. This statement specifies a particular type of debt and sets a time-bound goal, making it both specific and timely.
Step-by-step explanation:
Two books, A and B, are sold in three stores, X, Y and Z. The number of copies of book A sold in a month is 40, 20, and 60 from stores X, Y, and Z, respectively. The number of copies of book B sold is 10, 70, and 20 from X, Y, and Z, respectively. The profit from the sales of book A is $4, and the profit from the sales of book B is $1 for all the three stores. Which matrix represents the profit from the sales of book A for each store?
The matrix representing the profit from the sales of book A for each store is:
[ $4 ]
[ $4 ]
[ $4 ]
To represent the profit from the sales of book A for each store, we can use a matrix where the rows correspond to the stores (X, Y, Z) and the columns correspond to the book A.
The matrix representing the profit from the sales of book A for each store is as follows:
Store Book A
X $4
Y $4
Z $4
Therefore, the matrix representing the profit from the sales of book A for each store is:
[ $4 ]
[ $4 ]
[ $4 ]
Each element in the matrix represents the profit from the sales of book A in a specific store, which is $4 for all stores (X, Y, Z).
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median am of triangle abc is half the length of ac and makes an angle of 32 degrees with side ac. find the measure of angle bac in degrees
Let's start by drawing a diagram:
css
Copy code
B
/ \
/ \
m / \ n
/ \
/_ _ _ _ _\
A c C
We know that the median m is half the length of ac, so we can label ac as 2m.
We also know that the median m makes an angle of 32 degrees with side ac. Since the median m also bisects bc, we know that angles Cbm and Abm are congruent, so each must measure (180 - 32)/2 = 74 degrees.
Now we can use the fact that the angles of a triangle add up to 180 degrees to solve for angle bac:
java
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angle BAC = 180 - angle ABC - angle ACB
We can find angle ABC as follows:
java
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angle ABC = angle ABm + angle Cbm
Since Abm is a right angle and Cbm is 74 degrees, we have:
java
Copy code
angle ABC = 90 + 74 = 164
Similarly, we can find angle ACB as follows:
java
Copy code
angle ACB = angle ACm + angle CBm
Since ACm is a right angle and CBm is 74 degrees, we have:
java
Copy code
angle ACB = 90 + 74 = 164
Now we can plug in these values to find angle BAC:
java
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angle BAC = 180 - angle ABC - angle ACB
= 180 - 164 - 164
= 180 - 328
= -148
This answer doesn't make sense since angles are measured between 0 and 180 degrees. So we made a mistake somewhere. Let's check our work.
We found that ABC is 164 degrees, which means that angle BCA must be (180 - 164)/2 = 8 degrees. But this is a problem since angle BCA should be greater than angle ACB, which we found to be 164 degrees. So we made a mistake when we assumed that angles Cbm and Abm are congruent.
Let's try again:
css
Copy code
B
/ \
/ \
m / \ n
/ \
/_ _ _ _ _\
A c C
Since the median m bisects bc, we know that angles Cbm and Abn are congruent, so each must measure (180 - 32)/2 = 74 degrees.
Now we can find angle BAC as follows:
java
Copy code
angle BAC = angle BAm + angle CAM
Since BAm and CAM are congruent, we have:
java
Copy code
angle BAC = 2 * angle BAm
We know that angle BAm is equal to 90 - 32/2 = 74 degrees, so:
java
Copy code
angle BAC = 2 * 74
= 148
Therefore, the measure of angle bac is 148 degrees.
what is 8 1/2 / 11 as a mixed number or fraction
Answer: 17/22
Step-by-step explanation:
Answer:
Step-by-step explanation:
Answer:
3.68181818182=33409090909150000000000
Showing the work
Rewrite the decimal number as a fraction with 1 in the denominator
3.68181818182=3.681818181821
Multiply to remove 11 decimal places. Here, you multiply top and bottom by 1011 = 100000000000
3.681818181821×100000000000100000000000=368181818182100000000000
Find the Greatest Common Factor (GCF) of 368181818182 and 100000000000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 2,
368181818182÷2100000000000÷2=18409090909150000000000
Simplify the improper fraction,
=33409090909150000000000
In conclusion,
3.68181818182=33409090909150000000000
Help please :)......
Answer:
x | y
0 | 2
2 | 10
4 | 18
Step-by-step explanation:
the function would be y=4x+2
just plug each x value in to get each y value
Solve the following equation for the unknown quantity: 12x-8=3x+10. a. x=4 b. =2 c =12 d. x=1/2
Answer:
b. x=2
Step-by-step explanation:
Step 1- Move the variable to one side.
12x-8= 3x+10
-3x -3x
9x-8= 10
Step 2- Add 8 to both sides.
9x-8= 10
+8 +8
9x= 18
Step 3- Divide to both sides.
9x= 18
9 9
x= 2
pls give me the answer....
7½ – 4/7 ×7/8
= 15/2 – 1/2
= 7
Answer:
its 7
Step-by-step explanation:
Date: Pages of * The current ratio of a business is the ratio of its current assets to its current labilities. After consulting with the comptroller, the president of Ace sports equipment company decides to take out a short-term loan to build up inventory. The company has current assets of $350,000 and current labilities of $ 80,000. How much can the company borrow if the current ratio is to be no less than 2.5?
Answer:
this is wrong answer
Step-by-step explanation:
Find the least common multiple (LCM) for the pair of numbers.
6, 36
Answer: 36
Step-by-step explanation:
36
6: 6,12,18,24,30,36
Answer: 36
Step-by-step explanation:
6: 12,18,24,30,36
36: 36
I need help with What’s the missing measure G bahah
Answer:
x = 33°
Step-by-step explanation:
57 + 90 + x = 180
147 + x = 180
x = 33
A die has 12 faces numbered 1 through 12. On the die, 5 of the faces show prime numbers, so the theoretical probability of rolling a prime number is 512
. Which is the most likely prediction for the number of times a prime number will occur when rolling the number cube 300 times?
Answer:
125 times is the answer
Step-by-step explanation:
do simple math:
\(\frac{5}{12}\) × 300
= 125
Being the answer
125 being the answer
The perimeter of a triangle is 17 inches. One side is 5 inches, and another is 4 inches. What is the length of the third side?
Answer:
8inches
Step-by-step explanation:
Length of the third side = perimeter - ( side1 + side2 )
= 17 - (5+4)
= 17 - 9
= 8 inches
Leonard has an enclosed glass cabinet to display his collectibles. It is a rectangular prism with glass on all sides, except for the base. The cabine is 5 ft. tall, 1 ft. wide, and 2 ft. long. How many square feet o glass is this display case made
Answer:
2 feet
Step-by-step explanation:
Which of these could you measure with a ruler?
A. the volume of water in a cup
B. the volume of cream in a cup of coffee
C. the length of a textbook
D. the weight of a watermelon
Length of a text can be measured with ruler. Therefore, option C is the correct answer.
What is Metric System?Everything around us has a measurement value, from the amount of sugar you put in a cake to the size of a football field. Each thing is measured differently based on its length, weight, volume, or duration. With these measurements, the idea of "Metric System" is introduced.
A ruler, sometimes called a rule, line gauge, or scale, is a device used in geometry and technical drawing, as well as the engineering and construction industries, to measure distances or draw straight lines.
Length of a text can be measured with ruler.
Therefore, option C is the correct answer.
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Answer:
C
Step-by-step explanation:
Translate the word phrase into an algebraic expression: 6 divided into 12x.
Answer:
12x/6
Step-by-step explanation:
6 is being divided into 12x so you ask yourself what is 12x divided by 6 and that is your algebraic expression.
Select the correct answer from each drop-down menu.
A candy company designs a package to hold chocolates. The height of the container is 13 inches and the diameter of its bottom is 9 inches.
9 in i
13 in
Which shape best models the package, and what is the approximate surface area of the package?
The best model for the package is a
The approximate surface area is
square inches.
The approximate surface area of the package is approximately 245.05 square inches.
The best model for the package is a cylinder.
To calculate the approximate surface area of the package, we need to find the lateral surface area of the cylinder and the area of the circular base.
The lateral surface area of a cylinder can be calculated using the formula:
Lateral Surface Area = 2πrh
where r is the radius of the base and h is the height.
The area of the circular base can be calculated using the formula:
Area of Base = \(πr^2\)
Given that the diameter of the bottom is 9 inches, the radius (r) would be half of that, which is 4.5 inches.
Using the given height of 13 inches, we can now calculate the surface area:
Lateral Surface Area = 2πrh = 2π(4.5)(13) ≈ 117.81 square inches
Area of Base = \(πr^2 = π(4.5)^2 ≈ 63.62\) square inches
To find the total surface area, we add the lateral surface area and the area of the base:
Total Surface Area = Lateral Surface Area + 2 × Area of Base = 117.81 + (2 × 63.62) ≈ 245.05 square inches
Therefore, the approximate surface area of the package is approximately 245.05 square inches.
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Which expression is equivalent to 5(2 + 1)?
Step-by-step explanation:
5(2 + 1) can be simplified using the distributive property of multiplication over addition, which states that a(b + c) = ab + ac. Using this property, we get:
5(2 + 1) = 5(2) + 5(1)
Simplifying the expression further, we get:
5(2) + 5(1) = 10 + 5 = 15
Therefore, 5(2 + 1) is equivalent to 15.
what’s the correct radical form of b^1/5
The correct radical form of b^1/5 is 5^√b.
What is the radical form?Square root and nth roots are represented by the symbol "radical," which. a square root is a component of a radical expression, which is an expression.
A number's or an algebraic expression's simplest radical form is referred to as this. When a number or algebraic expression contains no elements that are perfect nth powers under the radical, it is said to have an nth root and is said to be in its simplest radical form.
When a number or algebraic expression contains no elements that are perfect nth powers under the radical, it is said to have an nth root and is said to be in its simplest radical form.
Explanation:
Convert to radical form using the formula
a^x/n=n^√a^x
5^√b.
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The graph shows the distribution of the lengths (in seconds) of videos on a popular video-streaming site. The distribution is approximately Normal, with a mean of 264 seconds and a standard deviation of 75 seconds.
A graph titled Streaming Videos has length (seconds) on the x-axis, going from negative 36 to 564. The highest point of the curve is at 264.
What percentage of videos on the streaming site are between 264 and 489 seconds?
0.15%
49.85%
95%
99.7%
According to the properties of the standard normal distribution, approximately 99.7% of the values lie within three standard deviations of the mean. Therefore, the answer is 99.7%.
To determine the percentage of videos on the streaming site that are between 264 and 489 seconds, we need to calculate the area under the normal curve within that range. Since the distribution is approximately normal with a mean of 264 seconds and a standard deviation of 75 seconds, we can use the properties of the standard normal distribution to find the desired percentage.
First, we need to convert the values 264 and 489 to z-scores, which represent the number of standard deviations a particular value is away from the mean. The z-score formula is given by:
z = (x - μ) / σ
where x is the value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get:
z1 = (264 - 264) / 75 = 0
z2 = (489 - 264) / 75 = 3
Next, we can use a standard normal distribution table or a calculator to find the area under the curve between z = 0 and z = 3. The area represents the percentage of videos falling within that range. The answer is 99.7% .
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Which function represents the exponential graph given that (0, 1) and (4, 81/16 ) are points that lie on the graph?
f(x)=(2/3)^x
f(x)=(4)^x
f(x)=(1)^x
f(x)=(3/2)^x
The f(x) = (3/2)ˣ is the correct function that represents the given exponential graph.
What is exponential graph?An exponential graph is a type of graph that represents an exponential function. An exponential function is a mathematical function in which a constant base is raised to a variable exponent. The general form of an exponential function is: y = a * bˣ.
What is graph?A graph is a visual representation of data or information that allows us to quickly and easily understand patterns, trends, and relationships. Graphs are used to present information in a way that is easy to interpret and understand.
In the given question,
The function that represents the exponential graph given that (0, 1) and (4, 81/16 ) are points that lie on the graph is:
f(x) = (3/2)ˣ
To verify that this is the correct function, we can substitute x=0 and x=4 into the function to see if the corresponding y-values match the given points on the graph.
When x=0, f(0) = (3/2)⁰ = 1, which matches the point (0, 1).
When x=4, f(4) = (3/2)⁴ = 81/16, which matches the point (4, 81/16).
Therefore, f(x) = (3/2)ˣ is the correct function that represents the given exponential graph.
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Based on the supply graph and the demand graph shown above, what is the price at the point of equilibrium?
Hint: Think about the point where they both meet. For example, if you were to place the graphs on top of each other, what would be the point of intersection?
Type the correct number below without the dollar sign.
Based on the supply graph and demand graph shown above, the price at the point of equilibrium is $ 30.
Demand refers to quantity of a commodity that the consumers are willing to, able to purchase at a given price during a given period of time. Supply refers to quantity of a commodity that the producers are willing to, able to offer for sale at a given price during a given period of time.
Demand curve slopes downward due to inverse relationship between price and quantity demanded whereas supply curve slopes upward due to direct relationship between quantity supplied and price. When both demand and supply curve intersect with each other balance is achieved. Intersection point between demand and supply curve is known as equilibrium.
At this point when prices are equal is known as equilibrium price and when quantiy demanded or supplied are equal it is known as equilibrium quantity. When we combine the given graph. Equilibrium is achieved at a point when price is equal to $ 30 and quantity is equal to 20 units.
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1+log2=log(x+1)
I know that x=19 but how do you get 19?
Step-by-step explanation:
Recall that \(\log 10 = 1\) so we can rewrite the equation above as
\(\log 10 + \log 2 = \log (x + 1)\)
Also recall that \(\log(ab) = \log a + \log b\) so the left-hand side becomes
\(\log [(10)(2)] = \log (x + 1)\)
or
\(20 = x + 1 \Rightarrow x = 19\)
This answer was confusing for sure
Answer: lol ez
B.
Step-by-step explanation: XD
Answer:
D
Step-by-step explanation:
The general formula for the sine or cosine function is
y = A*Sin(Bx + C) + D
C = 0 in this case
B = pi / 3
The period is given by the formula
P = 2 * pi / B
P = 2 * pi//pi/3
The 2 pis cancel and you are left with 2*3 = 6
Suppose a normal distribution has a mean of 50 and a standard deviation of 3. What is P(x≤ 44)? A. 0.025 B. 0.975 C. 0.84 D. 0.16
A normal distribution has a mean of 50 and a standard deviation of 3 , the probability P(X ≤ 44) = P(Z ≤ -2) = 0.0241 option a) 0.025.
In probability theory, normal distribution is also known as Gaussian distribution. It is a probability distribution that is symmetrical, bell-shaped, and a continuous probability distribution. It's also a part of continuous probability distribution that describes real-valued random variables whose probability density function is affected by two parameters: the mean μ and the variance σ².
Let us consider the problem. Suppose a normal distribution has a mean of 50 and a standard deviation of 3. Firstly, we need to standardize the random variable X that is to convert it to the standard normal distribution. We use the following formula for this Z = (X - μ) / σwhere X is the random variable and μ is the mean, σ is the standard deviation of the population.
So in this case, we can write this as Z = (44 - 50) / 3 = -2
We have now obtained the standard score or standard deviation for the random variable X.
Now we need to calculate the probability P(X ≤ 44) = P(Z ≤ -2).
The probability of Z being less than -2 is denoted by the area under the standard normal curve to the left of Z = -2.
Using the standard normal table we look for the probability that corresponds to -2 and the closest we find is 0.0228.
This probability represents the area under the standard normal distribution to the left of Z = -2.
To calculate the area to the left of Z = -2, we add the area to the left of the next integer, which is -3, which we find from the standard normal table as 0.0013, 0.0228 + 0.0013 = 0.0241.
Therefore, the probability P(X ≤ 44) = P(Z ≤ -2) = 0.0241 or 0.025 (rounded to three decimal places)Therefore, the answer is option A. 0.025.
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A meteorologist drew the accompanying graph to show the changes in relative humidity during a 24 hour period in New York City. What is the range of this set of data? 0<=x<=24, 30<=y<=80, 0
The range of a set of data is the difference between the highest and lowest values. In this case, the graph shows that the relative humidity changes between 30% and 80% during a 24 hour period in New York City. To find the range, we subtract the lowest value (30%) from the highest value (80%):
Range = 80 - 30 = 50%
So, the range of the relative humidity during this 24 hour period in New York City is 50%.
The range of this set of data is 30 ≤ y ≤ 80.
The correct option is 3.
What is a function?A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.
Given:
A meteorologist drew the accompanying graph to show the changes in relative humidity during a 24-hour period in New York City.
The graph is given in the attached image.
The function is not exceeding the value 80.
And more than the value 30.
So, the range is,
= 30 ≤ y ≤ 80.
Therefore, the range is 30 ≤ y ≤ 80.
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One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the third angle is 10 degrees more than that of the smallest angle. Find the measure of the LARGEST angle.
Answer:
Step-by-step explanation:
x + x + 10 + 3x = 180
5x + 10 = 170
5x = 170
x = 36°
3(36)= 108° the largest angle
7).
2. Hot Text: For each graph, choose the correct sentence to describe the graph.
The graph represents a proportional relationship.
The graph does not represent a proportional relationship.
a. The graph represents a proportional relationship.
b. The graph does not represent a proportional relationship.
c. The graph does not represent a proportional relationship.
d. The graph represents a proportional relationship.
What is a proportional relationship?A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable exists.
The equation that defines the proportional relationship is a linear function with slope k and intercept zero presented as follows:
y = kx.
Hence graphs a and d represent proportional relationship, as they have intercepts at the origin.
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A roll of breakfast sausage weighing 4/5:of a pound is cut into 3 patties of the same size. What is the weight of each patty?
NO LINKS!!!
Solution:
Note that:
4x/5 ÷ 3 = 1 pattySolve for x to find the weight of each patty.
4/5 ÷ 3 = Weight of 1 patty=> 4/5 x 1/3 = 1 patty=> 4/15 = 1 pattyThe weight of a patty is 4/15 of a pound.
Answer:
4/15
Step-by-step explanation:
Hope this helps! Sorry if I am wrong.
Evaluate 3x2 + 3x - 9, when x = 2
Answer:
9
Step-by-step explanation:
3x^2 + 3x - 9
Substitute x = 2 into the equation.
3(2)^2 + 3(2) - 9
3(4) + 6 - 9
12 + 6 - 9
18 - 9 =
9
A high school robotics club sold cupcakes at a fundraising event.
They charged $2.00 for a single cupcake, and $4.00 for a package of 3 cupcakes.
They sold a total of 350 cupcakes, and the total sales amount was $625.
The system of equations below can be solved for , the number of single cupcakes sold, and , the number of packages of 3 cupcakes sold.
Multiply the first equation by 2. Then subtract the second equation. What is the resulting equation?
x + 3y = 350
2x + 4= 625
Type your response in the box below.
$$
The resulting equation after multiplying the first equation by 2 and subtracting the second equation is:
-5y = -375
1. Given equations:
- x + 3y = 350 (Equation 1)
- 2x + 4y = 625 (Equation 2)
2. Multiply Equation 1 by 2:
- 2(x + 3y) = 2(350)
- 2x + 6y = 700 (Equation 3)
3. Subtract Equation 2 from Equation 3:
- (2x + 6y) - (2x + 4y) = 700 - 625
- 2x - 2x + 6y - 4y = 75
- 2y = 75
4. Simplify Equation 4:
-2y = 75
5. To isolate the variable y, divide both sides of Equation 5 by -2:
y = 75 / -2
y = -37.5
6. Therefore, the resulting equation is:
-5y = -375
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