Answer: Its the second one!
Step-by-step explanation
find the measure of ∠6 please help! answer and how to do it?
Answer:
56 degrees
Step-by-step explanation:
Answer:
56
Step-by-step explanation:
Opposite angles of two parallel lines formed by crossing by third line are equal
2. -3xy, when x = 4 and y = 2
Answer:
\( \boxed{ \bold{ \huge{ \boxed{ \sf{ - 24}}}}}\)
Step-by-step explanation:
Given, x = 4 and y = 2
\( \sf{ - 3xy}\)
plug the value of x and y
\( \longrightarrow{ \sf{ - 3 \times 4 \times 2}}\)
\( \longrightarrow{ \sf{ - 24}}\)
Hope I helped!
Best regards! :D
Solve for x.
3x = 6x – 2
x= 2/3
x=3/2
x=2
Answer:
x = 2/3
Step-by-step explanation:
3x = 6x – 2
Subtract 6x from each side
3x-6x = 6x-6x – 2
-3x = -2
Divide each side by -3
-3x/-3 = -2/-3
x = 2/3
Answer:
\(A) \:x=\frac{2}{3}\)
Step-by-step explanation:
\(3x=6x-2\)
Subtract 6x from both sides:
\(3x-6x=6x-2-6x\)\(-3x=-2\)Divide both sides by -3:
\(\frac{-3x}{-3}=\frac{-2}{-3}\)\(x=\frac{2}{3}\)OAmalOHopeO
Which of the following values are solutions to the inequality
2
x
+
4
>
8
Answer:X=1
Step-by-step explanation:
The answer is:
x > 2
Work/explanation:
The inequality is:
\(\sf{2x+4 > 8}\)
To solve, start by subtracting 4 from each side:
\(\sf{2x > 4}\)
Divide each side by 2
\(\sf{x > 2}\)
Therefore, the answer is x > 2.Question 5 (1 point)
The Hurricane band is selling hats, masks, and t-shirts to raise money for new uniforms. Jose purchased 2 hats, 3 masks, and 1 t-shirt for
$50. Hannah purchased 1 hat, 2 masks, and 2 t-shirts for $50. Amarria purchased one of each item for $30. What is the price of each
individual item?
Answer:
The price of the hats is $ 10, the price of the masks is $ 5 and the price of the T-shirts is $ 15.
Step-by-step explanation:
A system of equations is a set of two or more equations with several unknowns in which you want to find a common solution.
In other words, a system of linear equations is a system of equations in which each equation is linear. A solution of a system is an assignment of values for the unknowns that makes each of the equations is true, so solving a system means finding all the solutions of the system.
In this case you apply a system of equations. So you first determine the system variables:
x: price of hats. y: price of the masks. z: price of t-shirts.You know that Jose purchased 2 hats, 3 masks, and 1 t-shirt for $50. This is:
2*x + 3*y + 1*z=50 Equation (A)
You know that Hannah purchased 1 hat, 2 masks, and 2 t-shirts for $50. This is:
1*x + 2*y + 2*z=50 Equation (B)
You know that Amarria purchased one of each item for $30. This is:
1*x + 1*y + 1*z=30 Equation (C)
The system of equations is formed by equations (A), (B) and (C).
The method of reduction consists of adding (or subtracting) the equations to each other to eliminate one of the unknowns. Sometimes, it is necessary to multiply the equations by some number so that, when adding them, one of the unknowns disappears.
In this case you apply the method to calculate the value of z. Subtracting (A) - (B) - (C) you get:
(2-1-1)*x + (3-2-1)*y + (1-2-1)*z= 50-50-30
Solving:
0*x + 0*y + (-2)*z=-30
(-2)*z=-30
\(z=\frac{-30}{-2}\)
z=15
Remembering that z represents the price of the t-shirts, then each has a value of $ 15.
Replacing the value of z in equation (A):
2*x + 3*y + 1*15=50
you get:
2*x + 3*y= 50 - 15
2*x + 3*y=35 Equation (D)
Replacing the value of z in equation (B):
1*x + 2*y + 2*15=50
1*x + 2*y + 30= 50
1*x + 2*y= 50- 20
1*x + 2*y= 20 Equation (E)
The substitution method consists of choosing an equation and solving one unknown in terms of the other unknown. Then you must substitute the expression found in the other equation, to obtain an equation with an unknown, and then solve that unknown. Finally, you substitute the value found in the previously found expression to solve for the remaining unknown.
Solving for the variable x from Equation (E) you get:
x= 20- 2*y Equation (F)
Replacing in Equation (D), you get:
2*(20-2*y) + 3*y=35
Solving:
2*(20) + 2*(-2)*y + 3*y= 35
40 - 4*y + 3*y=35
- 4*y + 3*y=35 - 40
(-1)*y= -5
\(y=\frac{-5}{-1}\)
y=5
Remembering that y represents the price of the masks, then each has a value of $ 5.
Finally, replacing the value of y in equation (F) you get:
x=20 - 2*5
x= 20-10
x=10
Remembering that y represents the price of the hats, then each has a value of $ 10.
In summary, the price of the hats is $ 10, the price of the masks is $ 5 and the price of the T-shirts is $ 15.
Elmer spent the day at the mall. First, he bought five rabbits for $10 each. Later, he bought four cupboards for $70 each. After that, he found a twenty dollar bill. Also, he returned one rabbit. Write the total change to Elmer's funds as an integer.
Answer:
-300
Step-by-step explanation:
Step 1: Find the amount Elmer's funds decreased after purchasing the rabbits:
Let x represent Elmer's funds.
Since Elmer bought five rabbits for $10 each, he lost $10 5 times.
x - (10 * 5)
x - 50
Thus, Elmer lost (spent) $50 for the 5 rabbits.
Step 2: Find the amount Elmer's funds decreased after purchasing the cupboards:
Since Elmer bought four cupboards for $70 each, he lost $70 4 times:
x - (50 + (70 * 4))
x - (50 + 280)
x - 330
Thus, after purchasing the rabbits and cupboards, Elmer lost $330.
Step 3: Find the amount Elmer's funds increased after finding the twenty-dollar bill:
Since Elmer found a twenty-dollar bill, he gained $20
x - (330 + 20)
x - 310
Step 4: Find the amount Elmer's funds increased after returning one rabbit:
Since Elmer returned one rabbit, he gained $10:
x - (310 + 10)
x - 300
Thus, Elmer's funds changed totally by -$300.
Putting all the information together, we have:
x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10
x - 50 - 280 + 30
x - 330 + 30
x - $300
What is the range of the relation (-2, 4), (3,-2), (1, 0), (5,5)?
A. {-2, 3, 1,5}
B. {4,-2, 0,5}
C. {-2, 4, 5, -2}
D. {-2,-1, 0, 5}
Is it D?
Answer:
A.{-2,3,1,5 } or D. {-2, -1, 0,5}
Given that CAT = DOG select all statements that are true,
Answer:
The answer to this problem Is A I think
Step-by-step explanation:
In a histogram, the vertical line (dimension) shows the _____________, while the horizontal line (dimension) shows the _______________.
In the Histogram the horizontal line (dimension) represents the value of the selected collection plan element. The vertical line (dimension) represents the count or sum of occurrences of the primary collection element on the horizontal line.
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the angle of depression from the top of a building to the foot of the tower is 30 degree and the angle of depression from the top of the tower to the foot of the building is 45degree if the tower is 30m high find the height of the building
Answer:
38.66 meters.
Step-by-step explanation:
Let's denote the height of the building as 'h' (to be determined). Given that the tower is 30m high, we can use trigonometry to solve for the height of the building.
From the information provided, we can form a right triangle with the height of the tower as one side, the height of the building as another side, and the distance between the tower and the building as the hypotenuse.
Considering the angle of depression of 30 degrees, we have the following equation:
tan(30°) = h / d
Where 'd' is the distance between the tower and the building. We don't have the exact value of 'd,' but we can use the second angle of depression to find the relationship between 'd' and the height of the tower.
Using the angle of depression of 45 degrees, we have:
tan(45°) = 30 / d
We can rearrange this equation to solve for 'd':
d = 30 / tan(45°)
Now we can substitute this value of 'd' into the first equation:
tan(30°) = h / (30 / tan(45°))
To find the value of 'h,' we can solve this equation:
h = (30 / tan(45°)) * tan(30°)
Using a calculator, we can calculate the value of 'h' to be approximately 38.66 meters.
Therefore, the height of the building is approximately 38.66 meters.
. What is the age of the youngest family member at the reunion?
Answer:
Step-by-step explanation:
it does'nt matter because we don't know for sure
Explain how to convert 44.0 gallons to liters.
It is instructed that we change 44.0 gallons to liters. One gallon is one unit of volume. A gallon is equivalent to 3.785 liters.
3.785411784 litres make to one US gallon. 4 quarts, 8 pints, or 128 fluid ounces make up a gallon. In American measurements, a gallon is equivalent to 3.785 litres, 128 fluid ounces, 4 quarts, 8 pints, or 16 cups. A gallon's volume is about equivalent to 3.78541 litres. Thus, a gallon is more than three litres. A gallon of one liquid could weigh differently than a gallon of another. As one imperial gallon is equal to 4.54609 litres, it takes up space that is nearly 4,546 cubic centimetres (roughly a 16.5cm cube). An average glass holds eight ounces. So, 16 eight-ounce glasses of water make up a gallon.
44.0 gallons to 3.785 liters.
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please label answers clearFind the absolute maximum and absolute minimum values of fon the given interval. f(x) = 5x3 - 9x2 - 108x + 1. (-3, 4] absolute minimum value absolute maximum value
The absolute minimum value is -824 and the absolute maximum value is 181.
How to find the absolute maximum and absolute minimum valuesThe absolute maximum and absolute minimum values of f(x) = 5x3 - 9x2 - 108x + 1 on the interval (-3, 4] can be found using the following steps:
1. Take the derivative of f(x): f'(x) = 15x2 - 18x - 108.
2. Set f'(x) equal to zero and solve for x: 15x2 - 18x - 108 = 0.
Factoring out 3, we get 3(5x2 - 6x - 36) = 0.
Solving for x using the quadratic formula, we get x = -2.4 or x = 3.
3. Evaluate f(x) at the critical points and endpoints of the interval (-3, 4]:
f(-3) = -824,
f(3) = -298,
f(4) = 181.
4. Compare the values of f(x) at the critical points and endpoints to determine the absolute maximum and minimum values:
- The absolute minimum value of f(x) on (-3, 4] is f(-3) = -824.
- The absolute maximum value of f(x) on (-3, 4] is f(4) = 181.
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What does w equal?pls help me
Answer:
-9/2
Step-by-step explanation:
Hope this helps
sorry if it’s wrong
Please help due at 10:00!!!!!!!!!
Answer:
9 sheep and 5 goats
Step-by-step explanation:
s + g = 14
125s + 75g = 1500
125( 14 - g ) + 75g = 1500
1750 - 125 g + 75g = 1500
50g = 250
g = 5 goats
s = 9 sheep
what is the most basic method of illustrating data? group of answer choices pie chart line graph polygon frequency distribution
A line graph is the most basic method of illustrating data.
A line graph is a special type of graph that is frequently employed in statistics. In relation to another quantity, it shows how one quantity has changed. For instance, we may use this graph to illustrate how the cost of various chocolate flavors fluctuates. Typically, a two-dimensional XY plane is used to plot this variation. A graph is said to be linear if it can represent the relationship between any two measurements by a straight line. Consequently, a line graph is often known as a linear graph.
The three different types of line graphs are simple line graphs, numerous line graphs, and compound line graphs.
Option B is the proper response, thus.
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What are the dimensions of the lightest open-top right circular cylindrical can that will hold a volume of 1331 cm3? The radius of the can is /7.510] cm and its height is |7.511 cm: (Type exact answers, using I as needed_
The dimensions of the lightest open-top right circular cylindrical can that will hold a volume of 1331 cm³ are a radius of √(1331/π) cm and a height of 2√(1331/π) cm.
The volume V of a right circular cylindrical can is given by V = πr²h, where r is the radius and h is the height of the can. We are given that the volume of the can is 1331 cm³.
To find the dimensions of the lightest can, we need to minimize the surface area of the can, which corresponds to minimizing the sum of the lateral surface area and the top surface area. Since the can is open-top, we can ignore the bottom surface area.
The lateral surface area A of a right circular cylindrical can is given by A = 2πrh, and the top surface area is given by A_top = πr².
By substituting the volume equation into the lateral surface area equation, we can express the lateral surface area as A = 2V/h.
To minimize the surface area, we need to minimize the sum of A and A_top. Since A_top = πr², we can rewrite the sum as A_total = 2V/h + πr².
To find the dimensions that minimize A_total, we can differentiate A_total with respect to r and h, set the derivatives equal to zero, and solve the resulting equations. However, since we are only interested in the dimensions, we can substitute the given volume and radius into the equations and simplify.
By substituting V = 1331 cm³ and r = √(1331/π) cm, we find that h = 2√(1331/π) cm.
Therefore, the dimensions of the lightest open-top right circular cylindrical can that will hold a volume of 1331 cm³ are a radius of √(1331/π) cm and a height of 2√(1331/π) cm.
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Explain the difference between 2(7x-4) and (7x-4)^2
Answer:
2(7x-4) = 7x(2)-4(2) = 14x-8
but
(7x-4)^2 = (7x-4) (7x-4)
Gloria took a survey of high school students to see how many had part-time jobs last summer. The results of the survey are shown in the table. Compare theprobability that a student in the senior class had a part-time job to the probability that a student in the freshman class had a part-time job.
Find the probabilities
\(\begin{gathered} f=\frac{25}{39} \\ s=\frac{11}{42} \end{gathered}\)We can make a easy comparison by finding the percentage of the two
\(f=\frac{25}{39}\times100=25\div39=0.641025641\times100=64.1025641\)\(\begin{gathered} 64.1025641 \\ 1\text{ < 5} \\ 64 \end{gathered}\)The percentage that a freshman has a summer job will be 64%
Now the seniors
\(s=\frac{11}{42}\times100=11\div42=0.261904762\times100=26.1904762\)\(\begin{gathered} 26.1904762 \\ 9\text{ < 5} \\ 26.2 \end{gathered}\)26.2% of the seniors have a summer job.
So, the obvious comparison is that "a senior is less likely to have a job then a freshman" or the second option. Since the percentage that a freshman will have a job is much higher then the percentage a senior will have a job.
305 divided by 122 equals
Answer:
2.5
Step-by-step explanation:
I used the calculator
what is the z score for a soda that costs $1.15 if the population of soda prices has a normal distribution with a mean of $1.00 and a standard deviation of $0.25?
We need to know about z-score to solve the problem. The z-score of the soda is 0.6
A z-score tells you how many standard deviations away an individual data falls from the mean. We can calculate z-score from the standard deviation and mean of the data. In this question we know that the cost of a soda is $1.15 and the mean is $1.00 and the standard deviation is $0.25.We need to calculate the z-score of the soda with the given information.
z-score=x-μ/σ=1.15-1.00/0.25=0.15/0.25=0.6
Therefore the z-score of the soda is 0.6
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Which one of the following is a result of the normal probability distribution being bell-shaped?
The mean, median, and mode are at the center
The area on the right side of the mean is greater than the area on the left.
The area on each side of the mean equals 1.00
The mean is further in the right tail than the median is
The result of the normal probability distribution being bell-shaped is that the mean, median, and mode are at the center.
This means that the center of the bell-shaped curve represents the most likely occurrence of the data and that the values are symmetrically distributed around the mean.
The mean, median, and mode of a normal distribution are equal, which means that they are all located at the center of the bell-shaped curve. This is an important characteristic of the normal distribution and sets it apart from other distributions where the mean, median, and mode may not be equal.
In a normal distribution, the area on each side of the mean does not equal 1.00, but rather approaches 1.00 as the curve becomes more symmetrical. The height of the curve at the mean represents the highest probability of occurrence, and the probabilities decrease as the values deviate from the mean.
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What are roots of quadratic equations?
Answer:
Here's a link that I found that was helpful to me: http://www.biology.arizona.edu/biomath/tutorials/quadratic/roots.html#:~:text=Roots%20are%20also%20called%20x%2Dintercepts%20or%20zeros.&text=The%20roots%20of%20a%20function,%2B%20bx%20%2B%20c%20%3D%200.
Step-by-step explanation:
Pala says that she can draw an array with a total of 17 counters placed in 3 rows is she correct? if she is draw the array. if she is not, explain why not.
She cannot draw an array of 17 counters with three rows.
How to determine the true statement?The given parameters are:
Counter = 17
Rows = 3
An array is represented as:
Array = Rows * Columns
Where Rows and Columns are integers greater than 0
So, we have
3 * Column = 17
Divide by 3
Column = 5.667
Recall that Rows and Columns are integers greater than 0
This means that she cannot draw an array of 17 counters with three rows.
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Mr. Whyte buys a new television. He pays down a payment of $99 and promises to make 12 monthly payments of $75. What is the total cost of the television?
Answer:$999
Step-by-step explanation:
You are going to want to multiply 75 by 12 since you are giving 75 dollars 12 times- then you are going to add $99 for the down payment- and you’ve got your answer!
Answer:
999
Step-by-step explanation:
of means "x"
12 monthly payments of $75
12 x 75 = total for 12 payments
then add down-payment
u get total cost
Pls help me with some math
find the vertex,AOS, and x-intercepts of f(x)=(x+4)(x+1)
Answer:
the vertex is (-5/2, -1/4), the AOS is x = -5/2, and the x-intercepts are -4 and -1.
what is 4x-7y=3
x-7y= -15
Answer:
-3/4 and y= 3/7
Step-by-step explanation:
what operation is evaluated first in the expression 4 + 9 2 /3 x 2 - 2 =
Answer:
You add the numerator
multiply the denominator and substract
then you can divide the expression.
Step-by-step explanation:
According to BODMAS
division comes before multiplication, addition and subtraction.
but in some cases like this, it's difficult to follow that procedure
Find the slope of (-6,-6) (-6,10)
Answer:
the question is probably wrong
Step-by-step explanation:
10 - -6 = 16
-6 - -6 = 0
16/0= undefined?