Divide the following complex numbers 30+20i/1+5i
Gavin ran 2 3/5 miles in 7/12 of an hour. How many miles can Gavin run in one hour?
Answer:
First you find how many miles can Gavin run in 1/12 of an hour. That way you can use it to times 12 and to find 12/12 of an hour which is 1 hour.
Turn it into an improper fraction. 2×5=10 then add that 10 to the numerator 3 and it'll be 13/5 miles in 7/12 hours. Then divide it by 7.
\( \frac{13}{5} \div 7 = \\ \frac{13 }{5 \times 7} = \frac{13}{35} \)
So 13/35 is how many miles Gavin runs in 1/12 of an hour. Now times is by 12 = 146/35
Or
\(4 \frac{6}{35} \)
miles per hour
If r = 10 and s = 31, find R. Round to the nearest tenth
Answer: c 17.9°
Step-by-step explanation:
Answer:
the answer is c
Step-by-step explanation:
I took the test
Letters x, y, and z are angle measures. Which equations would guarantee that lines p and q are parallel? check all that apply.
Letters x, y, and z are angle measures. The following equations would ensure that lines p and q are parallel: x = z ; x + y = 180°
A Equation is a numerical explanation that is comprised of two articulations associated by an equivalent sign. In its simplest form in algebra, an equation is a statement that demonstrates that two mathematical expressions are equal.
The image with the angles x, y, and z, as well as the lines p and q, can be found in the link at the answer's conclusion.
Using the image provided;
We can see that the two parallel lines p and q are divided by a transverse line. As a result,
We can say that because we can see that x and z are angles that correspond to one another; Second, we can see that y and z are supplementary angles due to the fact that they form a straight line and that the sum of straight angles is 180 degrees.
therefore; We can say that, using the negotiation property of equivalency, y + z = 180° because x = z.
x + y = 180°
Question:
Angle measures are represented by x, y, and z. Which conditions could ensure that lines p and q are equal? Select all relevant options.
x = z, x + y = 180°, x = y, and z = 180°
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i need answer for this
Answer:
y=5.4
Step-by-step explanation:
So first we cross multiple.
2*112=35*(y+1)
224=35y+35
-35 on both sides
189=35y
÷35 on both sides
5.4=y
the monthly rents for five apartments advertised in a newspaper were $650, $650, $800, $1900, and $820. find the mean, median, and mode of the rents.
The mean monthly rent for these five apartments is $764, the median monthly rent is $800, and the mode monthly rent is $650.
To find the mean of the rents, we add all the rents and divide by the total number of rents:
Mean = (650 + 650 + 800 + 1900 + 820) / 5 = $764
The median is the middle value when the rents are arranged in numerical order. In this case, the rents arranged in numerical order are:
650, 650, 800, 820, 1900
The middle value is the third rent, which is $800.
The mode is the value that appears most frequently in the data set. In this case, the mode is $650 because it appears twice, which is more than any other value.
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Which unit would probably be used to measure how long a cell phone is?
Answer:
Mostly millimeter
Step-by-step explanation:
Length has several unit like m,cm, mm, feet, miles, inches, km etc
we measure the length in units which is more understandable or readable. like thickness of mobile is around 3mm to 1cm or we can even measure in inches like .5inch but if we measure it in meter or feet it will be difficult to understand, read and write similarly the unit of length most suitable for measuring the height of a backyard tree is meter or feet because the length of tree is around 10 feet to 25 feet or 2meter to 6meter if we measure the length in cm or mm or in inches then it will be difficult to understand, read and write.
A recipe that will make 3 pies calls for 7 cups of flour? Find how many pies can be made with 42 cups of flour.
Linda went for a drive in her new car. She drove at a speed of 59 miles per hour for 147.5 miles. For how many hours did she drive?
Answer:
8,702.5
Step-by-step explanation:
Multiply like you normal would. See that there is one decimal place behind the decimal point. Put the decimal there and, BOOM! You have your answer.
Pls give me Brainly points!! :)
Answer:b. approach-avoidance conflict
Step-by-step explanation:
Elise says, "If you subtract 17 from my number and multiply the difference by -3, the result is -61."
What is Elise's number?
Answer:
Elise's number is 112/3.
Step-by-step explanation:
You can form the equation: \(\left(x-17\right)\cdot -3=-61\)
Solution: \(\frac{\left(x-17\right)\left(-3\right)}{-3}=\frac{-61}{-3}\)
\(x-17=\frac{61}{3}\)
\(x-17+17=\frac{61}{3}+17\)
x=112/3
pedro took an exam in a class in which the mean was 68 with a standard deviation of 10. if his z-score was 3, what was his exam score?
To find Pedro's exam score, we can use the formula for calculating the z-score:
z = (x - μ) / σ,
where z is the z-score, x is the exam score, μ is the mean, and σ is the standard deviation.
Given that Pedro's z-score was 3, we can rearrange the formula to solve for x:
3 = (x - 68) / 10.
Multiplying both sides of the equation by 10, we get:
30 = x - 68.
Adding 68 to both sides, we find:
x = 30 + 68 = 98.
Therefore, Pedro's exam score was 98.
The z-score measures how many standard deviations an individual's score is above or below the mean. In this case, Pedro's z-score of 3 indicates that his exam score was 3 standard deviations above the mean of 68.
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A new patio is in the shape of a square. On a scale drawing, the vertices of the patio's coordinates are (10, 8. 5), (10, 1. 5), (3 ,1. 5 ), and (3, 8. 5). How long is each side of the patio?.
As per the given coordinates, the length of each side is 7
The term coordinate in math refers the pair of numbers that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes.
Here we have given that the new patio is in the shape of a square. On a scale drawing, the vertices of the patio's coordinates are (10, 8. 5), (10, 1. 5), (3 ,1. 5 ), and (3, 8. 5).
And we need to find the length of each side of the patio.
While we have given the following points in the given question
=> (10, 8. 5), (10, 1. 5), (3 ,1. 5 ), and (3, 8. 5).
And then we have to plot these values on the graph.
For that we have to label the graph first and then we have to point put the coordinates on the graph.
=> After pointing the values, we have to label the graph with the corresponding coordinates.
Therefore, the resulting graph is look like the following one.
While we looking into the resulting graph, we get the length as 7.
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11-m=51-6m what does m equal
Answer:
8
Step-by-step explanation:
11-m=51-6m
-m+6m=51-11
5m=40
m=40/5
m=8
hope it helps u
Answer:
m=8
Step-by-step explanation:
11-m=51-6m
You put the like terms together first so it will be:
6m-m=51-11
because when the numbers cross the '=' sign the signs change so -6 becomes +6m which is the same as 6m then +11 becomes -11. Then you solve:
=6m-m=51-11
=5m=40
Divide each side by 5 so that you can be left with the value of m
=5m÷5=40÷5
=m=8
An object’s volume is 0.12 kL. What is its volume in liters?
Answer:
120L
Step-by-step explanation:
Given quantity;
0.12kL to L
Solution:
Convert the given quantity to Liters;
1000L = 1kL
So.
1kL gives 1000L
0.12kL will be 1000 x 0.12 = 120L
When talking about a scale drawing or model, _____________ is determined by the ratio of a given length on the drawing or model to its corresponding length on the actual object. How do we write this as a fraction?
When talking about a scale drawing or model, the scale factor is determined by the ratio of a given length on the drawing or model to its corresponding length on the actual object.
This can be written as a fraction, with the length on the drawing or model as the numerator and the corresponding length on the actual object as the denominator. For example, if a drawing of a building has a scale factor of 1:100 and the length of a wall on the drawing is 5 cm, the corresponding length on the actual building would be 500 cm (5 cm x 100). Therefore, the scale factor can be written as 5/500 or simplified to 1/100.
When talking about a scale drawing or model, the term you're looking for is "scale factor." It is determined by the ratio of a given length on the drawing or model to its corresponding length on the actual object. To write this as a fraction, you would place the length on the drawing or model as the numerator and the corresponding length on the actual object as the denominator. For example, if the scale factor is 1:10, you would write it as 1/10.
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PLEASE HELP
Write the equation in standard form of the line that passes through (4,3) parallel to 2x-y = -5

Answer:
2x+y=11
Step-by-step explanation:
First, put 2x-y=-5 into slope intercept form (makes it easier)
y=-2x-5
Now, parallel lines have different y intercepts, but the same slope.
so, put the new line as y=-2x+b (b is a placeholder)
now, we need to find the y intercept, and you can do that by placing (4,3) into the equation of y=-2x+b
3=-2(4)+b
3=-8+b
11=b
New line will be y=-2x+11
HOWEVER, the question asks for the lines to be in standard form
add 2x on both sides
2x+y=11
Hope this helps!
When Mr. Morgan preheated his oven, the oven's temperature rose 3 degrees in of a
minute. At that rate, how much will the oven heat up in 1 minute?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
degrees
Answer:
it would be 18 in 1 minute
(a)A line through (2,1) meets the curve x²-2x-y=3at A (-2,5)and at B. Find the coordinates of B
(b) A(3,1) lies on the curve (x-1)(y+1)=4. A line through A perpendicular to x+2y=7 meets the curve again at B. Find the coordinates of B.
You are purchasing supplies for an art project. you need 3 containers of paint, 2 brushes, and 1 case of canvas. each container of paint is $3.99, each brush is $3.80, and each case of canvas is $15.99. write and evaluate an expression for the total cost of the art supplies.
The computation shows we that the total cost is $31.57.
How to compute the value?From the information, the person is purchasing supplies for an art project. you need 3 containers of paint, 2 brushes, and 1 case of canvas. each container of paint is $3.99, each brush is $3.80, and each case of canvas is $15.99.
This will be:
= 3($3.99) + 2($3.80) + 1($15.99)
= $7.98 + $7.60 + $15.99
= $31.57
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What is (-22)(-8) = pls help me I’m so lost and i dont wanna fail
Answer:
176
Step-by-step explanation:
Multiply −22by −8.
Answer: +176
Explanation: To multiply (-22)(-8), remember that
a negative times a negative is a positive.
So (-22)(-8) is +176.
if g(x) = x + 6 is a tangent to the curve f(x) = k√, find the value of the constant X. Answer:
There is no real value of x that satisfies the condition for g(x) = x + 6 to be a tangent to the curve f(x) = k√x.
To find the value of the constant k, we need to determine the point of tangency between the curve f(x) and the tangent line g(x).
The given equation for the tangent line is g(x) = x + 6. We know that the tangent line and the curve are tangent at a specific point, which means they have the same slope at that point.
To find the slope of the curve f(x), we need to differentiate it with respect to x. The derivative of f(x) = k√x is given by:
f'(x) = (1/2)(k/x^0.5) = k/(2√x)
Since the slope of the tangent line g(x) is 1, we can set the derivative of f(x) equal to 1 and solve for x:
k/(2√x) = 1
Multiplying both sides by 2√x, we get:
k = 2√x
Now we have the expression for k in terms of x. To find the value of x, we need to substitute this expression into the equation of the tangent line:
g(x) = x + 6
Substituting k = 2√x, we have:
x + 6 = 2√x
To solve this equation for x, we can square both sides:
(x + 6)^2 = (2√x)^2
Expanding the left side:
x^2 + 12x + 36 = 4x
Bringing all terms to one side:
x^2 + 12x + 36 - 4x = 0
Simplifying:
x^2 + 8x + 36 = 0
This is a quadratic equation. We can solve it by factoring or using the quadratic formula. However, upon closer inspection, we notice that the discriminant (b^2 - 4ac) is negative, indicating that the equation has no real solutions.
Therefore, there is no real value of x that satisfies the condition for g(x) = x + 6 to be a tangent to the curve f(x) = k√x.
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Change the word phrase to an algebraic expression. Use x to represent the number. The product of 9 and two more than a number
The algebraic expression for "The product of 9 and two more than a number" is 9(x + 2).
In the given word phrase, "a number" is represented by the variable x. The phrase "two more than a number" can be translated as x + 2 since we add 2 to the number x. The phrase "the product of 9 and two more than a number" indicates that we need to multiply 9 by the value obtained from x + 2. Therefore, the algebraic expression for this word phrase is 9(x + 2).
"A number": This is represented by the variable x, which can take any value.
"Two more than a number": This means adding 2 to the number represented by x. So, we have x + 2.
"The product of 9 and two more than a number": This indicates that we need to multiply 9 by the value obtained from step 2, which is x + 2. Therefore, the algebraic expression becomes 9(x + 2).
In summary, the phrase "The product of 9 and two more than a number" can be algebraically expressed as 9(x + 2), where x represents the number.
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Which of the lists of letters all have line symmetry?
1. (A, B, C, D)
2. (W, X, Y, Z)
3. (L, M, N, O)
4. (S, T, U, V)
Answer:
The first row
Step-by-step explanation:
Letters A,B,C,D
==================================================
Explanation:
Check out the diagram below to see where the lines of symmetry are located.
For the letter A, we have a vertical line through the center that is the mirroring line. Reflecting one half over that line generates the other half.
For letter B, we have a horizontal line through the center. This applies to letters C and D as well.
This is why answer choice 1 is the final answer.
-----------
For letter Z, we have neither a vertical nor a horizontal mirror line. This letter doesn't have any lines of symmetry (though it does have rotational symmetry). So we can rule out answer choice 2.
Letter N is pretty much the same idea as letter Z. There aren't any lines of symmetry but we do have rotational symmetry. So we can rule out answer choice 3.
Lastly, we can rule out answer choice 4 because letter S has the same properties as letters Z and N.
Write the 1st, 2nd, 3rdand 18thterms for: A) Un= n2 + 4 B) Un = 6n + 5
Answer:
(a) \(U_1 =5\); \(U_2 = 8\); \(U_{18} = 328\)
(b) \(U_1 = 11\); \(U_2 =17\); \(U_{18} = 113\)
Step-by-step explanation:
Required
1st, 2nd and 18th terms
To do this, we simply substitute 1, 2 or 18 for n in the given equations
Solving (a):
\(U_n =n^2 + 4\)
1st term: n = 1
\(U_1 =1^2 + 4\)
\(U_1 =1 + 4\)
\(U_1 =5\)
2nd term: n = 2
\(U_2 = 2^2 + 4\)
\(U_2 = 4 + 4\)
\(U_2 = 8\)
18th term: n = 18
\(U_{18} = 18^2 + 4\)
\(U_{18} = 324 + 4\)
\(U_{18} = 328\)
Solving (b):
\(U_n = 6n + 5\)
1st term: n = 1
\(U_1 = 6*1 + 5\)
\(U_1 = 6 + 5\)
\(U_1 = 11\)
2nd term: n = 2
\(U_2 = 6*2 + 5\)
\(U_2 =12 + 5\)
\(U_2 =17\)
18th term: n = 18
\(U_{18} = 6*18 + 5\)
\(U_{18} = 108 + 5\)
\(U_{18} = 113\)
QUICK QUESTION: is this right?
Answer:
C3H8 + 5O2 → 3CO2 + 4H2O
Step-by-step explanation:
Propane + Dioxygen = Carbon Dioxide + Water
Reaction Type
Combustion
If there are 12 men and 6 women on the board of directors. Find the probability that a committee of 3 men and 2 women are drawn at random
The probability of drawing a committee of 3 men and 2 women at random is 1, which means it is guaranteed to happen since there are more than enough men and women available for the committee.
To find the probability of drawing a committee of 3 men and 2 women at random from a board of directors consisting of 12 men and 6 women, we need to calculate the ratio of favorable outcomes (committee of 3 men and 2 women) to the total number of possible outcomes.
The total number of ways to select a committee of 3 men from 12 men is given by the combination formula:
C(12, 3) = 12! / (3! * (12-3)!) = 12! / (3! * 9!) = (12 * 11 * 10) / (3 * 2 * 1) = 220
Similarly, the total number of ways to select a committee of 2 women from 6 women is given by:
C(6, 2) = 6! / (2! * (6-2)!) = 6! / (2! * 4!) = (6 * 5) / (2 * 1) = 15
To find the total number of ways to select a committee of 3 men and 2 women, we multiply the above two results:
Total number of ways = C(12, 3) * C(6, 2) = 220 * 15 = 3300
The probability of selecting a committee of 3 men and 2 women can be calculated by dividing the number of favorable outcomes (committee of 3 men and 2 women) by the total number of possible outcomes:
Probability = Favorable outcomes / Total outcomes
Favorable outcomes = C(12, 3) * C(6, 2) = 3300
Probability = 3300 / 3300 = 1
Therefore, the probability of drawing a committee of 3 men and 2 women at random is 1, which means it is guaranteed to happen since there are more than enough men and women available for the committee.
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Please help ASAP! i really need help!
thanks! and god bless :)
Answer:
D
Step-by-step explanation:
From the given figure it is clear that angle MNO is formed by segments MN and NO.
It says that angle MNO is rotated 90 degrees counterclockwise about the origin to form angle M′N′O′.
Find the solution of each equation using the given replacement set please help ASAP
Answer:
Sorry I don't know this answer
Three classes in grade 7 took a geography test last week. There are x students in class a with a mean of 6. There are 25 students in class b with a mean of 8. There are 20 students in class c with a mean of y. The mean score of class a and b combined is 7.25. The mean score if all three classes is 6.5
The number of students in class a is 15, the mean score of class c is 5.5, and the mean score of all three classes is 6.5.
What is a mean or average?In mathematics, the mean or average is a measure of central tendency that represents the typical value or a central value of a set of numbers. It is calculated by adding up all the values in the set and then dividing by the number of values in the set. The mean is commonly used in statistics to summarize a large amount of data into a single value that is more easily understood. It is often used to represent the "average" or "typical" value of a set of data. For example, the mean score of a class on a test can give an idea of how well the class performed overall.
We can use the formula for the mean to set up two equations, one for the mean score of class a and one for the mean score of all three classes:
For class a and b combined:
(6x + 25 × 8)/ (x + 25) = 7.25
Simplifying this equation gives us:
6x + 200 = 7.25(x + 25)
Expanding the brackets and simplifying further gives:
6x + 200 = 7.25x + 181.25
Subtracting 6x and 181.25 from both sides gives:
18.75 = 1.25x
Therefore, x = 15
For all three classes:
(6x + 25 × 8 + 20y) / (x + 25 + 20) = 6.5
Substituting x = 15 into this equation gives:
(6 ×15 + 25 × 8 + 20y) / (15 + 25 + 20) = 6.5
Simplifying and solving for y gives:
(90 + 200 + 20y) / 60 = 6.5
Simplifying further gives:
y = 5.5
Therefore, the number of students in class a is 15, the mean score of class c is 5.5, and the mean score of all three classes is 6.5.
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the length of a rectangle is nine inches more than its width. its area is 442 square inches. find the width and length of the rectangle.
If the length of a rectangle is nine inches more than its width and its area is 442 square inches, the width of the rectangle is 17 inches and its length is 26 inches.
Let's denote the width of the rectangle as "w" and its length as "l". From the problem statement, we know that:
l = w + 9 (since the length is nine inches more than the width)
The area of the rectangle is given by the formula:
A = l * w
Substituting in the expression for "l" in terms of "w", we get:
A = (w+9) * w
Simplifying, we get a quadratic equation:
w^2 + 9w - 442 = 0
We can solve this equation by factoring or using the quadratic formula. Factoring gives:
(w+26)(w-17) = 0
Therefore, the possible values for "w" are -26 and 17. However, since the width of the rectangle cannot be negative, we can eliminate -26 as a possible value. Thus, the width of the rectangle is 17 inches.
Using the expression for "l" in terms of "w", we can find the length:
l = w + 9 = 17 + 9 = 26 inches
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