skew lines are lines that do not intersect and are not parallel to each other.
In the image given, the two lines can never meet at any point and they are not parallel to each other
Evaluate m+p divide 5 when m=1 and p=5.
Answer:
2
Step-by-step explanation:
m+p ÷ 5
Let m=1 and p = 5
1+5 ÷5
Division comes first
Divide 5 by 5 which equals 1
1 + 1
Add
2
\(\huge\text{Hey there!}\)
\(\mathsf{m + p \div 5}\\\\\mathsf{= 1 + 5 \div 5}\\\\\mathsf{= 1 + 1}\\\\\mathsf{= 2}\)
\(\huge\textsf{Therefore, your answer should be:}\)
\(\huge\boxed{\frak{2}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
The First number in a pattern is 8. Each following number is found by subtracting 9 from the previous number.What is fifth number in this pattern?A. -45B. -40C. -37D. -28
We have a sequence of number, the first number is 8 and the subsequent numbers are found by subtracting 9 from the previous, so:
\(\begin{gathered} a_1=8 \\ a_2=a_1-9=8-9=-1 \\ a_3=a_2-9=-1-9=-10 \\ a_4=a_3-9=-10-9=-19 \\ a_5=a_4-9=-19-9=-28 \end{gathered}\)The fifth number in the pattern is -28
Solve the equation
74 – 120x=2
If no solution, type "No solution".
Answer:
x=-82
subtract 74 from -130 and then divide -164 by two
find the value of x.
The value of x = - 12°
Isosceles triangleThe triangle which has two equal sides or two equal sides is called an Isosceles triangle. In a Isosceles triangle the angles made by equal sides with 3rd side will be equal
Here from given question we have,
Measure of ∠2 = x + 85
And the measure of another angle = 73
From given picture,
Two sides of triangle are equal then the given triangle will be an Isosceles triangle
As we know in a Isosceles triangle the angles made by the two equal sides with 3rd side will be equal
=> ∠2 = 73
=> x + 85 = 73
=> x = - 85 +73
=> x = -12°
Therefore,
The value of x = -12°
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Find the volume of the solid bounded by x = 0, y = z^2 , z = 0 z = 2-x-y
Answer:
volume = 4/3
Step-by-step explanation:
volume of the solid can be calculated using the given data :
x = 0,
y = z^2,
z = 0, z = 2-x-y
attached below is the detailed solution and a free hand sketch of the boundaries of the solid
1 yard in 6 minutes
Question 1
Part A
Find the unit rate.
Enter the correct answer in the box.
Answer: 0.166666667 yards OR 0.1524 meters OR 0.5 feet
Step-by-step explanation:
1 / 6 = 0.166666667 yards
1 yard = 0.9144 meters
0.9144 / 6 = 0.1524 meters
1 yard = 3 feet
3 / 6 = 0.5 feet
Ms. Gallegos burns 236 calories riding her bike each hour. She wants to burn more than 590 calories riding her bike at the same rate. Which inequality represents all possible values for t, the number of hours Ms. Gallegos must ride her bike to burn more than 590 calories?
Answer:
T = 2.5
Step-by-step explanation:
Hope this helps!
Answer:
T >2.5
Step-by-step explanation:
Miriam and Ruth are each individually applying for an $8,000, 24-month personal
loan. Miriam and Ruth have FICO credit scores of 625 and 775, respectively, but
otherwise have similar loan applications. One of them was offered a 24-month loan
at a 12% annual interest rate, while the other was offered a 24-month loan at a
21% annual interest rate. Which person is more likely to have been offered which
loan?
Answer:
Miriam
Step-by-step explanation:
Miriam, with her lower FICO score, is more likely to have been offered the loan with the higher interest rate.
Find a nonzero vector orthogonal to the plane through the points P, Q, and R, and (b) find the area of triangle PQR. 29. P(3, 1, 1), Q(5, 2, 4), R(8, 5, 3) 30. P(-2, 0, 4), Q(1,3, -2), R(0, 3, 5)
The area of triangle PQR in this case is 14.924
In geometry, the concept of vectors is very useful when dealing with points, lines, and planes in three-dimensional space. Vectors have both magnitude and direction, and they can be added, subtracted, and multiplied by scalars.
To find a nonzero vector orthogonal to the plane through the points P, Q, and R, we can use the cross product of two vectors in the plane. A cross product of two vectors gives us a vector that is perpendicular to both of them, so it will be orthogonal to the plane as well.
Let's take the vectors from P to Q and from P to R as our two vectors:
u = Q - P = <5-3, 2-1, 4-1> = <2, 1, 3>
v = R - P = <8-3, 5-1, 3-1> = <5, 4, 2>
To calculate the cross product u x v, we can use the following formula:
u x v = <(1)(2) - (3)(4), (3)(5) - (1)(2), (1)(4) - (2)(5)> = <-10, 13, -2>
So the vector <-10, 13, -2> is orthogonal to the plane through P, Q, and R. Note that this vector is nonzero because at least one of its components is not zero.
To find the area of triangle PQR, we can use the fact that the area of a triangle is half the magnitude of the cross product of two of its sides. Let's take the sides from P to Q and from P to R again, and calculate their cross product:
u x v = <(3)(1) - (-6)(3), (-6)(2) - (3)(3), (3)(3) - (3)(2)> = <21, -21, 3>
So the vector <21, -21, 3> is orthogonal to the plane through P, Q, and R. Again, we can use the cross product of u and v to find the area of triangle PQR, which is:
|u x v| = sqrt(21^2 + (-21)^2 + 3^2) = √(891)
|u x v| = 1/2 * √(891) =14.924
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Suppose sam deposited 1000$ every month in the beginning for his retirement fund for 20 years at 5% compounded monthly. What is value of N
To find the value of N, we need the future value of the retirement fund. If you provide the desired future value, I can calculate the exact value of N.
To find the value of N, we need to calculate the number of monthly deposits Sam made for his retirement fund over 20 years.
Sam deposited $1000 every month for 20 years, which is a total of 20 x 12 = 240 deposits. Each deposit has a compounded interest rate of 5% per year, compounded monthly.
The formula to calculate the future value of a series of monthly deposits is given by:
FV = P * [(1 + r)^n - 1] / r
Where:
FV is the future value of the investment,
P is the monthly deposit amount,
r is the monthly interest rate, and
n is the number of deposits.
In this case, P = $1000, r = 5% / 12 = 0.05 / 12 = 0.00417 (monthly interest rate), and FV is the value of the retirement fund after 20 years.
By rearranging the formula, we can solve for n:
n = log((FV * r) / (P * r + FV)) / log(1 + r)
Plugging in the values, we get:
n = log((FV * 0.00417) / (1000 * 0.00417 + FV)) / log(1 + 0.00417)
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Alexander is drawing a map of the Federal Triangle in Washington, D.C. The actual Federal Triangle has a base of 300030003000 feet and height of 120012001200 feet. Alexander needs his drawing to fit on his paper, so he decides to make the base of his triangle 101010 inches.
1. What scale is Alexander using?
2. What is the height of Alexander's triangle in inches?
Alexander is utilizing a scale of 1 inch : 300 feet for his map.
The Alexander's triangle has a height of 4 inches in inches.
How to determine the map's scaleWhen comparing the initial dimensions as used by alexander, the scale of the map may be determined.
The scale is 1 inch: 300 feet since he used 10 inches to symbolize 3000 feet, this is gotten by diving both sides by 10
Using the scale factor 1 inch: 300 feet, the height of 1200 feet would be.
300 feet per inch, then ? inch is 1200 feet
? * 300 = 1200 * 1
? = 1200 / 300
? = 4 inches
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simplify pls do fast
The sum of the decimal values given is 0.93
Simplifying the decimal values can be done thus :
0.36 + 0.57Both values are in two decimal places, hence we can multiply by 100 to obtain a whole number .
0.36*100 = 36
0.57*100 = 57
Adding the whole numbers :
__36
+_57
_____
__93
Dividing the sum by 100 to convert to an equivalent decimal value,
93/100 = 0.93Therefore, the required value is 0.93
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8/5÷6=
i need help on this
Answer:
2 forms
Step-by-step explanation:
hope this helps <3
\( \sf \longrightarrow \: \frac{8}{5} \div 6 \\ \)
\( \sf \longrightarrow \: \frac{5}{8} \times 6 \\ \)
\( \sf \longrightarrow \: \frac{5 \times 6}{8} \\ \)
\( \sf \longrightarrow \: \frac{30}{8} \\ \)
\( \sf \longrightarrow \: \frac{8}{30} \\ \)
\( \sf \longrightarrow \: 0.26 \\ \)
_____________________________
What must be multiplied by (2 − 6) to get −10 + 30
Let x be multiply with ( 2-6 ) to get ( -10+30 )
Therefore, x ( 2 - 6 ) = (-10 + 30 )
or, x = (- 10 + 30 ) / ( 2 - 6 )
or, x = 20 / -4
or, x = -5
Therefore, -5 must be multiplied by (2 − 6) to get −10 + 30 .
Multiplying positive integers always bring about a positive integer. Multiplying negative integers constantly result in a negative integer. Multiplying a positive or negative integer usually result in a negative integer.
Multiplication and division of Integers. RULE 1: The product of a positive integer and a negative integer is negative. RULE 2: The product of positive integers is positive. RULE 3: The product of two negative integers is positive.
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Please help me with this Math question.
Each win is worth 3 points.
Each draw is worth 1 point.
Each lose is worth 0 points.
Is 33 correct answer?
Answer:
33 is definitely the correct answer
The drama club has 120 members. 48
members attended summer camp. What
percent of the drama club attended summer
camp?
Work Shown:
48/120 = 0.40 = 40%
Answer:
40 percent of the club members attended
also is this a true drama club like a in real life?
Step-by-step explanation:
hope it helped mark me brainly
have a great day
An engineer is monitoring the liquid level in two tanks as they are being filled. The volume of the tank A after x minutes is represented by the equation y=75x +110. For tank B the engineer has created a table, shown below, from measurements taken while the tank is being filled
The two tanks differ in terms of Filling rates and initial volumes.
We can work with the equation for tank A, which represents a linear relationship between the volume of liquid in the tank (y) and the time it has been filling (x).
The equation y = 75x + 110 tells us that the tank A is filling at a constant rate of 75 units per minute, starting with an initial volume of 110 units.
To analyze the data for tank B, we would need to know the volumes of the tank at different times as it is being filled.
If the relationship for tank B is also linear, we could find the equation that represents it by using two points from the table and the slope-intercept form of a linear equation (y = mx + b). Once we have both equations, we can compare them to see how the two tanks differ in terms of filling rates and initial volumes.
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Three people spend money on a vacation. The expression −1,0263 represents the amount of money each person spends on the vacation. Which expression is equivalent to −1,0263 ?
Answer:-(-1,026/3
Step-by-step explanation:
Can u please graph the intersection of the coordinate plane?
Given:
\(x-y\le3\)\(x>-5\)Consider the equation of the first inquality.
\(x-y=3\)\(y=x-3\)Set x=0, we get
\(y=0-3=-3\)We get the point (0,-3).
Set x=3, we get
\(y=3-3=0\)We get the point (3,0).
Mark the points (0,-3) and (3,0) and draw a ray to join the points.
Let a point (0,0) from the left of the line that does not lie on the line.
substitute x=0, y=0 in the given inequality, we get
\(0-0\le3\)\(0\le3\)This is true so the point from the left side of the equation line on the inequality.
Now shade the left side of the line.
The next inequality is
\(x>-5\)Draw a dotted vertical line that parallels the y-axis at the point (-5,0).
And the values are greater than -5, so shade the right side of the line.
The graph is
The intersection of the coordinates is the grey shaded region.
The whole region lies between (-5,0),(-5,-8), (0,-3) and (3,0).
We can see that (0,0) is also the intersection of the given inequalities.
For Field Day, the 72 students in fourth grade will be divided into tears with the same number of students on each team. The 60 students in third grade will be divided into teams that each have the same number of students as the fourth grade teams. What is the largest number of students that a team could have? Help meeee
mai mixed a batch of pink paint using 5 cups of red paint and 3 cups of white paint.
priya mixed another batch of pink paint using 7 cups of red paint and 4 cups of white paint
are the 2 batches the same shade of pink??
Answer:
no they are not
Step-by-step explanation:
priyas paint would be darker then mais paint because priya added an extra cup of red paint.
Today Angela's cat's age in months is the same as Angela's age in years. In one year her cat's age in months will be 2 times Angela's age in years. Today Angela is ___years old.
Answer:
10
Step-by-step explanation:
I just guessed and check :)
But if you recheck my answer it's correct!
Angela: 10 years
Cat: 10 months
In 1 year:
Angela: 11 years
Cat: 22 months
I hope this helps!
Answer:
I think Angela is 10 years old today.
(a) From Latoya's results, compute the experimental probability of rolling a 1 or 6.
(b)Assuming that the cube is fair, compute the theoretical probability of rolling a 1 or 6.
(c)Assuming that the cube is fair, choose the statement below that is true.
A. The experimental and theoretical probabilities must always be equal.
B. As the number of rolls increases, we expect the experimental and theoretical probabilities to
become closer, though they might not be equal.
C. As the number of rolls increases, we expect the experimental and theoretical probabilities to
become farther apart.
(a) To compute the experimental probability of rolling a 1 or 6 from Latoya's results, we need to determine the number of times a 1 or 6 was rolled and divide it by the total number of rolls Latoya made.
Let's assume that Latoya rolled the dice 100 times and obtained 20 1's and 10 6's. The total number of successful outcomes (rolling a 1 or 6) is 20 + 10 = 30.
Therefore, the experimental probability of rolling a 1 or 6 is 30/100 = 0.3 or 30%.
(b) Assuming the cube is fair, the theoretical probability of rolling a 1 or 6 can be determined by considering the favorable outcomes (rolling a 1 or 6) divided by the total possible outcomes (rolling any number from 1 to 6).
Since there are two favorable outcomes (1 and 6) out of six possible outcomes (1, 2, 3, 4, 5, 6), the theoretical probability is 2/6 = 1/3 or approximately 0.3333.
(c) The correct statement is B. As the number of rolls increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal. This is due to the law of large numbers, which states that as more trials are conducted, the experimental probability tends to converge towards the theoretical probability. However, it is not necessary for them to be exactly equal. Random variations can cause some discrepancy, but with a larger number of rolls, the experimental probability should approach the theoretical probability more closely.
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In 2021 a 30-second commercial during the Super Bowl cost $5.6 million and the CPI was approximately 271.4. Assuming that price changes are simply due to inflation, what would the same 30 second commercial have cost during the first Super Bowl in 1967, when the CPI was 33.4? Round your answer to the nearest hundred dollars.
In 2021 a 30-second commercial during the Super Bowl cost $5.6 million and the CPI was approximately 271.4. Assuming that price changes are simply due to inflation, when the CPI was 33.4 the estimated cost of a 30-second commercial during the first Super Bowl in 1967 would be approximately $68,900.
To calculate the cost of the 30-second commercial during the first Super Bowl in 1967, we can use the concept of inflation and the Consumer Price Index (CPI).
The CPI measures the average price change of a basket of goods and services over time. By comparing the CPI values of two different years, we can estimate the relative increase in prices due to inflation.
Given data:
Cost of a 30-second commercial in 2021 = $5.6 million
CPI in 2021 = 271.4
CPI in 1967 = 33.4
To calculate the cost in 1967, we need to adjust the 2021 cost for inflation using the CPI ratio:
Cost in 1967 = (Cost in 2021) * (CPI in 1967 / CPI in 2021)
Cost in 1967 = ($5.6 million) * (33.4 / 271.4)
Cost in 1967 ≈ $0.689 million
To round the cost to the nearest hundred dollars, we can multiply the cost by 100 and round it to the nearest whole number:
Cost in 1967 ≈ $68,900
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30 points!
Evaluate the following expression if B = 114
1/2B + 58 x 2
Step-by-step explanation:
1/2(114)+(58*2)
1/228+(116)
1/228+116/1=
26676/228=117
What is the total area, in square feet, of the shaded sections of the trapezoid below? 100 points if you get the ANSWER CORRECT
Answer: 44.64ft^2
Step-by-step explanation:
Triangle 1:
A = 1/2 x 5.3 x 7.2
A = 19.08
Triangle 2:
A = 1/2 x 7.1 x 7.2
A = 25.56
25.56 + 19.08 = 44.64
Total area of triangles = 44.64ft^2
Write 2 9/10 as an improper fraction.
pls hurry!
and pls explain how to do it
Answer:
29/10
Step-by-step explanation:
Answer:
\( \frac{29}{10} \)
Step-by-step explanation:
\(2 \frac{9}{10} \\ \frac{2 \times 10 + 9}{10} \)
What does the x represent on a motion map?
reference point
total displacement
speed
velocity
Answer:a
Step-by-step explanation:
The value x represents a reference point on a motion map.
Option (A) is correct.
What is a statement?A statement is a declarative sentence that is either true or false but not both. A statement is sometimes called a proposition. The key is that there must be no ambiguity. To be a statement, a sentence must be true or false, and it cannot be both.
Given:
A point used to find or describe the location of something. Reference point that is moving is when you look out the window of a car and notice that you are moving faster than the car next to you.
The relationship between motion and reference point is that an object is in motion when its position with respect to a reference point varies over time. This indicates that they have a similar relationship.
Therefore, the value x represents a reference point on a motion map.
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Alex buys 2 1/2 pounds of grapes. He buys 1 1/4 times as many pounds of apples as grapes. How many pounds of apples does Alex buy?
Answer:
3 1/8
Step-by-step explanation:
2 1/2 = 5/2
1 1/4 = 5/4
(5/2)(5/4) = 25/8 = 3 1/8
How many classes would Gina need to take for the total cost to be the same at both dance studios
Answer:
How many classes is Gina taking?
Answer:
10
Step-by-step explanation:
right on edge