Answer:its congruent
Step-by-step explanation SAS throem
complete the missing value in the solutuion to the equation
Answer:
Step-by-step explanation:
5x-2y=30
Given x=8
5×8-2y=30
-2y=30-40
y=5
Suppose y varies directly with x, and y = -10 when x = 2 . What is the value of y when x = 12
A. 12
B. -24
C. -120
D. -60
Answer:
Step-by-step explanation:
y varies directly with x then, y=kx
for x = 2 and y= -10 we get:
-10 = 2k
k= -5
when x = 12
y = -5 * (12) = -60
D
If the manufacturer chooses to produce 70,000 units but there is demand for 80,000 units, how much total profit and per-unit profit would be lost?
The manufacturer would lose a total profit of $100,000 and a per-unit profit of $10 by producing 70,000 units instead of the demanded 80,000 units.
To calculate the total profit and per-unit profit lost, we need to consider the difference between the actual production and the demand, as well as the profit per unit.
Let's assume the profit per unit is $10.
The manufacturer produces 70,000 units, but the demand is for 80,000 units, resulting in a shortage of 10,000 units.
Total profit lost = shortage * profit per unit = 10,000 * $10 = $100,000
Therefore, the total profit lost in this scenario is $100,000.
To calculate the per-unit profit lost, we divide the total profit lost by the shortage:
Per-unit profit lost = total profit lost / shortage = $100,000 / 10,000 = $10
Therefore, the per-unit profit lost in this scenario is $10.
By understanding the difference between the actual production and the demand, as well as the profit per unit, we can determine the total profit and per-unit profit lost when producing fewer units than the demand.
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Nick ran a race in 14.56 seconds. Casey ran the race in 14.58 seconds. At which place value are nick's and Casey's race times different
Answer:
The hundredths place is where its at
Answer:
Hundredths place.
Step-by-step explanation:
Hi so their race times are the same up to that fourth number.
In a number with a decimal anything after the dot goes: tenths, hundredths, thousandths and so on.
In both number we just go two more places so it would be hundredths.
Hope this helps! Have a great day/night <3
find the area of the parallelogram with vertices p(2, 2, 1), q(5, 3, 3), r(9, 8, 10), and s(6, 7, 8)
The area of the parallelogram is √19 square units.
To calculate the area of a parallelogram using the cross product of two vectors, we can follow these steps for the given vertices P(2, 2, 1), Q(5, 3, 3), R(9, 8, 10), and S(6, 7, 8):
Step 1: Find two vectors
We find two vectors by subtracting the coordinates of two opposite vertices. Let PQ be a diagonal of the parallelogram. Then, we have PQ = Q - P = (5, 3, 3) - (2, 2, 1) = (3, 1, 2). Similarly, we can find SR by subtracting the coordinates of the other two opposite vertices. SR = R - S = (9, 8, 10) - (6, 7, 8) = (3, 1, 2).
Step 2: Take the cross product of the vectors
The cross product of two vectors gives us a vector that is perpendicular to both vectors. The magnitude of this vector is equal to the area of the parallelogram. To find the cross product, we take the determinant of the matrix shown below:
| i j k |
| 3 1 2 |
| 3 1 2 |
where i, j, and k are the unit vectors in the x, y, and z directions, respectively. Expanding the determinant, we get:
(3 x 1 - 1 x 2) i - (3 x 2 - 1 x 3) j + (3 x 1 - 3 x 2) k
= (3 - 2) i - (6 - 3) j + (3 - 6) k
= i - 3 j - 3 k
Step 3: Find the area
The area of the parallelogram is equal to the magnitude of the cross product of the vectors PQ and SR. Therefore, the area of the parallelogram is √(1² + (-3)² + (-3)²) = √19 square units.
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what is the value of x of triangle srq?
The value of "x" in the given figure and question is 20 units.
As per the question statement, We are given a figure in which we are supposed to find the value of x.
Before solving the question, if we observe the figure, we can conclude that this question will include the concepts of right angled triangle or specifically Pythagoras Theorem, which states that
\(Perpendicular^{2} + base^{2} = hypotenuse^{2}\) where perpendicular, base and hypotenuse are the three sides of the right angled triangle.
In Triangle RTQ
using Pythagoras Theorem
\(RQ^{2} = TQ^{2} +TR^{2} \\RQ=x\\x^{2} = 16^{2} + TR^{2} \\TR^{2} = x^{2} -16^{2}\)
Now considering triangle SRT
using Pythagoras Theorem
\(SR^{2} = RT^{2} + ST^{2} \\SR^{2} = (x^{2} -16^{2}) +9^{2}\\\)
Now considering triangle RSQ
using Pythagoras Theorem
\(SQ^{2} = SR^{2} +RQ^{2} \\(9+16)^{2} = SR^{2} + RQ^{2} \\(9+16)^{2} = x^{2} -7^{2}+x^{2} \\ (9+16)^{2} =2x^{2} -7^{2} \\25^{2}+7^{2} = 2x^{2}\)
\(2x^{2} =674\)
\(x^{2} =337\\x=\sqrt{337} \\x=18.357\)
Therefore x = 18.357 approx 20 units.
Pythagoras Theorem: The well-known Pythagorean Theorem states that the square on the hypotenuse of a right triangle equals the sum of the squares on its legs.To learn more about Pythagoras Theorem, click on the link given below:
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Guys please help this is already late!!!!
your family is going on vacation and decides to purchase airline tickets online. each passenger pays $365 per purchase (x). the website charges a one time processing fee of $27 for the entire purchase. the total came out to be $2582. how many tickets did your family purchase? Write the equation that models the situation
Answer:
The equation would be:
365(x)+27= 2582
*x represents the number of passengers
If the radius of the circle is 5 inches, what is the diameter?
10 inches
5 inches
25 inches
2.5 inches
Answer:
10 Inches
Step-by-step explanation:
Remember the radius is always half the diameter. So, r * 2 = d. Plug those in...
5 * 2 = 10.
Therefore, the answer is 10 inches.
Ryan needs 3 and 1/4 cups of flour for the cookie recipe she is baking. She has already added 2 and 1/2 cups of flour. How much more flour does she need to add? Please help-
The quantity of more flour that she needs to add would be = 3/4
What is a fraction?A fraction is defined as the representation of the part of a whole data in a form of numerator and denominator.
The quantity of flour Ryan needs for baking = 3¼
The quantity of flour she has already added = 2½
The remaining amount that she needs to add;
= 3¼-2½
= 3/4
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−15 = 5(3q − 10) − 5q
Answer:
q = 3.5
Step-by-step explanation:
-15 = 5(3q - 10) - 5q
-15 = (5*3q + 5*-10) - 5q
-15 = 15q - 50 - 5q
-15 + 50 = 15q - 5q
35 = 10q
q = 35/10
q = 3.5
Check:
-15 = 5(3*3.5 - 10) - 5*3.5
-15 = 5(10.5 - 10) - 17.5
-15 = 5*0.5 - 17.5
-15 = 2.5 - 17.5
Lisa has 5/8 of a pound of grapes. 2/3 of the grapes are green and the rest are purple she divides the purple grapes equally among 10 friends how much does each friend get
Answer: ⅝-⅔ = -1 are purple grapes
each friend will get-0.1 purple grapes its quite easy you know
Answer:
Step-by-step explanation:
which statement is true
Answer:
The correct answer would be C Reason being the same angle stays the same after the rotationA closed half-plane is the solution of a linear inequality that comes close to the boundary line.
O True
O False
Answer:false
Step-by-step explanation:
2 + 2 + 2 + 2 + 2 + 2 = 4 × ___
Answer:
2 + 2 + 2 + 2 + 2 + 2 = 4 × 3
Step-by-step explanation:
under what circumstances is the point-biserial correlation used?
Answer: when one of the variables is dichotomous; when you need to measure the relationship between a continuous variable and a dichotomous variable.
Step-by-step explanation:
helppp
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Find the area of the triangle.
11
14
Answer: 77
Step-by-step explanation: If this is a triangle, you would use base times height divided by 2 to find the area. So if the base and the height are 11 and 14, you would do 11x14=154. Than 154/2 and you would get 77.
Find the 49th term.
-15, -10, -5, O, 5, ...
49th term = [?]
1st term + common difference(desired term - 1)
Enter
Answer:
49th term = 225
Step-by-step explanation:
The following sequence: -15, -10, -5, 0, -5... is an example of an arithmetic progression.
An arithmetic progression or AP for short, is a sequence in which the difference between successive terms is constant. This difference is known as the common difference, and can be found by subtracting a term by its preceding term.
The general formula, for the nth term of an arithmetic progression, is thus:
Tn = a + (n - 1)d, where a = first term, and d = common difference.
In the sequence: -15, -10, -5, 0, 5...,
a = -15, and d = -10--15 = 5
T49 = -15 + (49 - 1)5 = 225
∴ 49th term = 225
Pls help Algebra1 pls pls
Answer:
1,4,5
Step-by-step explanation:
Jist Multiply these
can someone write down the steps how you go from f(x) to g(x)
Answer:
this is an example of your question
I hope it helps
What percent of newborn African lions weigh less than 3 pounds? b. What percent of newborn African lions weigh more than 3.8 pounds?
The weight distribution of newborn African lions may not necessarily follow a normal distribution, and the actual percentages can vary based on the specific data available.
To determine the percentage of newborn African lions that weigh less than 3 pounds and the percentage that weigh more than 3.8 pounds, we would need statistical data on the weight distribution of newborn African lions. Since we don't have that information, we cannot provide the exact percentages.
However, if we assume that the weights of newborn African lions follow a normal distribution, we can use the properties of the standard normal distribution to make an estimation.
For the percentage of newborn African lions weighing less than 3 pounds:
We would need to know the mean and standard deviation of the weight distribution to calculate the Z-score for a weight of 3 pounds and then find the corresponding percentage using a standard normal distribution table. Without this information, we cannot provide an accurate estimation.
For the percentage of newborn African lions weighing more than 3.8 pounds:
Similarly, we would need the mean and standard deviation of the weight distribution to calculate the Z-score for a weight of 3.8 pounds and find the corresponding percentage using a standard normal distribution table. Without the required information, we cannot provide a specific estimation.
Please note that the weight distribution of newborn African lions may not necessarily follow a normal distribution, and the actual percentages can vary based on the specific data available.
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Consider a joint PDF for random variables X and Y given by fx.x (x, y) = cxy, 0≤ x ≤ y ≤ 1 and fx,y (x, y) = 0 else, and c is a constant. Find the probability P[X ≤Y].
the probability P[X ≤ Y] is equal to 1.
To find the probability P[X ≤ Y], we need to integrate the joint probability density function (PDF) over the region where X is less than or equal to Y.
Given the joint PDF:
f(x, y) = cxy, 0 ≤ x ≤ y ≤ 1,
f(x, y) = 0 elsewhere.
To find the constant c, we can integrate the joint PDF over its entire support and set it equal to 1 (since the total probability of the sample space is 1):
1 = ∫∫f(x, y) dx dy
Integrating over the region 0 ≤ x ≤ y ≤ 1:
1 = ∫∫cxy dx dy
= c∫[0,1]∫[x,1]xy dy dx
Integrating with respect to y first:
1 = c∫[0,1] [xy²/2] [x,1] dx
= c∫[0,1] (x/2 - x³/2) dx
= c[(x²/4 - x⁴/8)] [0,1]
= c(1/4 - 1/8)
= c/8.
Since c = 8, we can now determine the probability P[X ≤ Y]:
P[X ≤ Y] = ∫∫f(x, y) dx dy
= ∫∫8xy dx dy
= 8∫[0,1]∫[x,1]xy dy dx.
Integrating with respect to y first:
P[X ≤ Y] = 8∫[0,1] [xy²/2] [x,1] dx
= 8∫[0,1] (x/2 - x³/2) dx
= 8[(x²/4 - x⁴/8)] [0,1]
= 8(1/4 - 1/8)
= 8/8
= 1.
Therefore, the probability P[X ≤ Y] is equal to 1.
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What is the NPV of (x-5)
PLEASE HELP QUICK!!!!
Determine the length of the line segment shown.
line segment from negative 3 comma 10 to 4 comma negative 1
13 units
12 units
7 units
3 units
The length of the line segment defined by two endpoints; negative 3 comma 10 to 4 comma negative 1 as required in the task content is; 13.04.
What is the length of the line segment?It follows from the task content that the length of the line segment whose endpoints are as given in the task content is to be determined.
Recall; The length of a line segment whose endpoints are defined by; (x1, y1) and (x2, y2) is given as;
Length = √{ (y2 - y1)² + (x2 - x1)² }
Therefore, since the given endpoints are; (-3, 10) and (4, -1), it follows that the length of the line segment in discuss is;
Length = √{ (-1 - 10)² + (4 - (-3))² }
Length = √(121 + 49)
Length = √170
Length = 13.04.
Ultimately, the length of the line segment as required is; 13.04.
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A hot air balloon starts at an elevation of 300 feet. Then, it ascends at a rate of 600 feet per minute. what is the slope of the line?
Answer:
m = 600 feet/minute
Step-by-step explanation:
In this scenario, the elevation of the hot air balloon can be represented as a linear function of time. Let's use t to denote time in minutes and h(t) to denote the elevation of the balloon in feet at time t.
We know that the balloon starts at an elevation of 300 feet, so we can write the equation of the line as:
h(t) = 600t + 300
The slope of the line represents the rate of change of the elevation with respect to time, which is the same as the rate at which the balloon is ascending. Therefore, the slope of the line is equal to the ascent rate of the balloon, which is 600 feet per minute.
So the slope of the line is:
m = 600 feet/minute
Which is a better estimate for the volume of a salt shaker?
Total volume of the salt shaker is 56.52+706.5=763.02 cm³
What is the area and volume of a right circular cylinder?The volume of a Right Circular Cylinder. In general, the volume of a right cylinder is the area of the base times the height of the cylinder. The area of the circular base is given by the formula A = πr2. Substitute to get V = πr²h.
Given here: The volume of a salt shaker
The radius of the salt shaker which is 5 cm
Thus the volume of the cylinderical salt shaker is = π×3²×5²
=706.5 cm³
and the volume of the hemisphere at the top is= (2/3)πr³
=56.52 cm³
Hence, Total volume of the salt shaker is 56.52+706.5=763.02 cm³
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The complete question is Which is a better estimate for the volume of a salt shaker? where radius =3 cm and height =5 cm
6x + 3y = 12 solve for y
Answer:
Y= -2x+4
Step-by-step explanation:
Put it in slope intercept form
y=mx+b
Now subtract 6x on both sides to get y isolated
3y=12-6x
Now divide 3 on both sides to get y by itself
y=4-2x
Now in slope intercept form is
y= -2x+4
We use bar notation to show that a decimal is terminating
Bar notation is used to show the decimal is repeating.
So,
"We use bar notation to show that a decimal is terminating" is an incorrect statement.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Bar notation is used in decimal numbers to show that the number is repeating.
Example:
1/3 = 0.33333333
This can be written as,
1/3 = 0.\(\over3\)
Thus,
Bar notation is used to show the decimal is repeating.
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what is the answer 4x - 12x - x
Answer:
-9x
Step-by-step explanation:
Answer:
-9x
Step-by-step explanation:
4x-12x-x
taking 'x' as common variable from three expressions,
x(4-12-1)
x.(-9)
-9x is the answer
Determine the value of x.
Answer:
Step-by-step explanation:
find a number that can go into 30 and go and then what ever you get multiply it with five and X will be your answer
How many ounces are there in 13.5 pounds? Answer without units.
Answer:
216
Step-by-step explanation: