Answer:(3-i) - (2 +6i)
Combine like terms:
3-2 = 1
-i - 6i = -7i
Combine to get 1 -7i
Step-by-step explanation:
Helppp pls …………………….
Answer:
B
Step-by-step explanation:
the two angles lies on the same lines and they have the same vertex
What are all prime factorization of 34
Alton estimated that 230 people attended the band concert. The actual count for attendance was 200 people. Find the percent of error. 13% 15% 30% 86%
The percent of error is 15%. The correct option is B.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
Alton estimated that 230 people attended the band concert.
The actual count for attendance was 200 people.
To find the percent of error:
230 - 200 / 200
= 30 / 200
= 0.15
0.15 decimal to the percentage is 15%.
Therefore, the error is 15%
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Johnny recently hired a cleaning company to clean his home. The cleaning company charges
a service fee of $46 and $12 for each cleaning visit. Johnny has a monthly cleaning budget of
$130. How many cleaning visits can Johnny afford? answer?
(7x2) x 3
Drag numbers to the boxes to show how to find the product.
(7x2) x3 = 7x (
(7x2) x3 = 7x
(7×2)×3={______
x3
2 3 6 7 13 21 42 49
WILL MARK BRAINLIEST
Write an equation of the line that passes through (-3,3) and is perpendicular to the line 2y = 8x-6
Answer:
y = (-1/4)x + 9/4
Step-by-step explanation:
i got u
1.94 million is what percent of 2.16 million
89.81% of 2.16 million is 1.94 million.
What percentages are there?In mathematics, a number or ratio that can be expressed as a fraction of 100 is known as a percentage. After dividing a number by its whole, multiply it by 100 to determine its percentage. As a result, the percentage refers to a component per 100. The word "percent" denotes a percentage of 100.
To calculate a group's share of the total in terms of 100, use the percentage formula. Using this method, you may represent a number as a fraction of 100. You'll see that the approach below may be used to rapidly calculate each of the the percentages:
(Value/Total Value) x 100 = %
According to the question,
(x/100) 2.16 = 1.94
x = 1.94 (100)/ 2.16
x = 194/ 2.16
x = 89.81 %
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What is the reason for each step in the solution of the inequality?
−2(x+3)−4>4x+30
Select the reason for each step from the drop-down menus.
The missing reasons used in solving the given inequality are;
Reason 2; Subtraction property
Reason 3; Subtraction property of order
Reason 5; Division property of order.
How to solve Inequality problems?
There are different properties of algebra such as distributive property, commutative property, associative property, addition property, division property e.t.c
We are given the inequality as;
−2(x + 3) − 4 > 4x + 30
Step 1;
-2x - 6 - 4 > 4x + 30
Reason 1; Distributive property
Step 2; -2x - 10 > 4x + 30
Reason 2; Subtraction property
Step 3; -6x - 10 > 30
Reason 3; Subtraction property of order
Step 4; 6x > 40
Reason 4; Addition property of order
Step 5; x < -20/3
Reason 5; Division property of order.
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Write the equation of a line with slope m = -6 and y-intercept (0, -4), in standard form.
The equation in standard form
Equation of the line in standard form is 6x + y + 4 = 0.
Slope-intercept form of equation -> y = mx + c
Given in question,
Slope = m = -6
y-intercept = c = -4
Putting values of m and c in Slope-intercept form of equation,
y = -6x - 4
Standard form :
6x + y + 4 = 0
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Solve the inequality for p
4 - 1/6 (p - 3) > 7
Answer:
p < -15
Step-by-step explanation:
[tex]4 - \frac{1}{6} (p - 3) > 7[/tex]
[tex] - \frac{1}{6} (p - 3) > 3[/tex]
[tex]p - 3 < - 18[/tex]
[tex]p < - 15[/tex]
HELP ASAP PLEASEEEEEEEEEE
A possible perimeter for the rectangular table that was built by Irene is 50 inches.
My thinking was gotten by getting the dimensions and then using the perimeter formula to solve it.
How to calculate the perimeter?From the information given, it should be noted that the area of the rectangle is given as 114 square inches. A dimension that can give this is 19 inches and 6 inches
The perimeter of a rectangle is calculated as:
= 2(Length + Width)
= 2(19 inches + 6 inches)
= 2(25 inches)
= 2 × 25
= 50 inches
The perimeter is 50 inches.
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(x-2x³-29x² - 43x+8)÷(x-7)
Answer:
-2x^2 - 43x - 343 - 2393/x-7
4 yd.
3 yd.
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
yards
Answer:
5 yds
Step-by-step explanation:
i am assuming that 4 yd and 3 yd are the legs
so
to find the hypotenuse you square both legs add them and then take the square root of that
so
4^2 + 3^2 = c^2
16 + 9 = c^2
25 = c^2
c = 5
the final side is 5
Deion plans to repaint some classroom bookcases. He has 3 5 /1 gallons of paint. All of the bookcases are the same size and each requires 1/5 gallon of paint. How many bookcases will he be able to paint?
The bookcases that Deion will be able to paint is 16.
What is a fraction?It should be noted that a fraction is a part of a whole number that has a numerator and denominator.
In this case, Deion has 3 1/5 gallons of paint and all of the bookcases are the same size and each requires 1/5 gallon of paint.
The number of bookcase needed will be:
= Total gallons / Gallons for each
= 3 1/5 ÷ 1/5
= 16/5 ÷ 1/5
= 16/5 × 5/1
= 16
He can paint 16 cases.
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Neema bought appliances costing $3725 at a store charging 5% add-on interest. She made a $700 down payment and agreed to monthly payments over four years. Find the total cost, for the appliances plus
interest.
The total cost for the appliances plus interest is $
(Type an integer or decimal.)
The total cost for the appliances plus interest is 4330.
What is an interest rate?
The amount a lender charges a borrower is called an interest rate, and it is expressed as a percentage of the principal or the loaned amount. Typically, a loan's interest rate is expressed as an annual percentage rate, or APR.
Here, we
Cost of the appliance = $3725
Neema paid $700 so amount financed = $3725 - $700 = $3025
Interest rate on the loan = 3025*0.05*4 = $605
Total cost of the appliance = $3725 + 605 = $4330
Hence, the total cost for the appliances plus interest is 4330.
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Graph the solution to the equations below.
=1/4+2 and =−2−7
By graphing, the solution of the system of equations is: (-4, 1).
How to Solve a System of Equations by Graphing?The solution to the system of equations can be solved by graphing both lines of each equation on a coordinate plane, then find the coordinates of the point where both lines intersect each other.
Given the following equations:
y = 1/4x + 2
y = -2x - 7
The graph for y = 1/4x + 2 will intercept the y-axis at 2 and also has a slope of 2. The line for this equation is the red line.
The graph of y = -2x - 7 will also have a slope of -2. Its y-intercept would be -7. The line of the equation is the blue line.
The graph below shows the lines of both equations which intersect at (-4, 1), The solution is, (-4, 1).
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Write the expression as a power and evaluate it.
8•2^7
Answer:
1024
Step-by-step explanation:
8 times 2 to the 7th power
2 by the 7th power 128 times 8 1024
In how many ways can a committee of 5 men and 6 women be formed from a group of 8 men and 7 women?
By taking the product between the combinations of possible groups fo men and women we will see that the number of different committees is:
392
In how many ways can the committee be formed?For a set of N elements, the number of different sets of K elements that can be formed is:
C(N, K) = N!/(K!*(N - K)!)
Here we have 8 men and 7 women, and we want to make a committee of 5 men and 6 women
Then the total number of different committees is given by the product between the different sets of 5 men and the different sets of 6 women, these are:
for men:
C(8, 5) = 8!/( 5!*(8 - 5)!) = (8*7*6)/(3*2*1) = 56
for women:
C(7, 6) = 7!/(6!*(7 - 6)!) = 7
Then the total number of different committees is:
C = 56*7 = 392
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2. Clare was solving an equation, but when she checked her answer she saw her solution was incorrect. It
turns out Clare's work has three mistakes!
8(2 + 7x)
10+56x
10+56x
10
12
3
16
3x - (2+5x)
3x - 2 + 5х
8r-2
642-2
64x
The mistakes that Claire made in solving the equation are;
1) She did not use distribution property correctly in step 1 as 2(8) = 16 and not 10.
2) - (2+5x) should have been simplified to -2 - 5x and not -2 + 5x
3) 10 + 56x = 8x - 2 should have been 12 = -64x and not 12 = 64x
How to solve Linear Equations?
We want to solve the equation 8(2 + 7x) = 3x - (2 + 5x)
Step 1; Expand the bracket on the left hand side and right hand side to get; 16 + 56x = 3x - 2 - 5x
Step 2; Simplify the right hand side to get;
16 + 56x = -2x - 2
Step 3; Rearrange to get;
16 + 2 = -58x
Step 4; Add up the left hand side to get;
18 = -58x
Step 5; Divide both sides by -58 to get;
x = -9/29
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Complete question is;
Clare was solving an equation, but when she checked her answer she saw her solution was incorrect. It
turns out Clare's work has three mistakes!
find all three mistakes explain the below
8(2 + 7x) = 3x - (2+5x)
10 + 56x = 3x - 2 + 5х
10 + 56x = 8x - 2
10 = 64x - 2
12 = 64x
x = 3/16
If f(x)= (x+3)(3x-5)-4, what is the value of f(3)-f(-2)? Type your answer in the box
If function f(x) = (x+3)(3x-5) - 4, the value of f(3) - f(-2) is 35
The function is
f(x) = (x+3)(3x-5) - 4
We have to find the value of f(3) - f(-2) ,to find that find the value of f(3) and f(-2) separately.
The function is
f(x) = (x+3)(3x-5) - 4
Substitute the values in the equation
f(3) = (3+3)(3×3 - 5) - 4
= (6) × (9-5) - 4
= 6 × 4 -4
= 24 - 4
= 20
The value of f(3) = 20
f(-2) = (-2+3)(3×-2 - 5) - 4
= 1 × (-6-5) -4
= 1 × (-11) - 4
= -11 - 4
= -15
The value of f(-2) = -15
Then,
f(3) - f(-2) = 20 - (-15)
= 20 + 15
= 35
Hence, if function f(x) = (x+3)(3x-5) - 4, the value of f(3) - f(-2) is 35
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Find two vectors that are orthogonal to u = -2i +5j -3k and w = 3i +2j + k
Show work, please
After solving the equation of vector, the value obtained is equal to one, which shows that vectors are orthogonal.
What are vector?A vector is a quantity with both magnitude and bin physics. It is often depicted by an arrow with the same direction as the amount and a length proportionate to the size of the quantity. A vector has magnitude and the direction, but no position. As soon as a vector's length remains unchanged, it is consequently untouched by movement perpendicular to itself.
In contrast to vectors, scalars are normal variables having a magnitude but no direction. Displacement, velocity, and acceleration are all vector quantities, unlike speed, time, or weight, which are scalar variables.
uw = -6 + 10- 3
uw = 1.
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In a raffle, 100 tickets are sold. George buys 10 tickets Julia by 5 tickets. There is one winning ticket. Find a probability that
a. George will win
b. jullia will win
The probability that George will win is 1/10 and the probability that Julia will win is 1/20.
What is probability?Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true.The probability of an event is a number between 0 and 1, with 0 approximately denoting impossibility and 1 denoting certainty.The probability is calculated by dividing the total number of outcomes by the total number of potential events.So, calculate the probability as follows:
Probability formula: P(E) = Favourable events/Total eventsWe know,
The total number of tickets sold is 100.George has 10 tickets and Julia has 5.(A) George's probability of winning:
P(E) = Favourable events/Total eventsP(E) = 10/100P(E) = 1/10(B) Julia's probability of winning:
P(E) = Favourable events/Total eventsP(E) = 5/100P(E) = 1/20Therefore, the probability that George will win is 1/10 and the probability that Julia will win is 1/20.
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A_______ is a function which involves only _______ integer powers or only positive integers exponents the __________of any polynomial is the highest power present in it in the ____________ polynomial function y=4+2x+x
A polynomial is a function which involves only non-negative integer powers or only positive integers exponents the variable of any polynomial is the highest power present in it in the quadratic equation, cubic equation, polynomial function.
example :
y=4+2x+x
y = 3x + 4
y = 3x + 4 is a polynomial that has exponent equal to 1.
Therefore A polynomial is a function which involves only non-negative integer powers or only positive integers exponents the variable of any polynomial is the highest power present in it in the quadratic equation, cubic equation, polynomial function.
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What do this mean on this work
Answer:
The answer should be 13.928
Step-by-step explanation:
You do A square + B square = C square
I need answer please
Answer:
The rate of change is -2
Step-by-step explanation:
formula we will use: G(x)= [tex]\frac{f(b)-f(a)}{b-a}[/tex] [-1,2]
g(x)= [tex]x^3[/tex]-5x
g(-1)=[tex]-1^3[/tex]-5(-1)
g(-1)=-1+5
g(-1)=4
g(2)=[tex]2^3[/tex]-5(2)
g(2)=8-10
g(2)=-2
so g(x)= [tex]\frac{(-2)-(4)}{(2)-(-1)}[/tex]
g(x)= [tex]\frac{-6}{3}[/tex]
g(x)=-2
I don't understand please help me...
The total fencing material required to fence the playground and both flower beds is
perimeter of a rectangle is 2( / + w)perimeter of a square is 8aHow to find the material required for the fencingInformation from the question
The boundary of a park is shaped like a circle
The length of the rectangular playground is / and its width is w
The length of each side of the square flower beds is a
The problem is asking for the perimeter of a rectangle and 2 squares
perimeter of a rectangle is 2( / + w)
perimeter of a square is 4a
If there was no over lap the expression will have no reduction and hence the quantity of material required for the fencing is equal to their respective perimeters
The flower beds are two so the perimeter will be multiplied by 2 to give 8a
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A postage stamp has a mass of 2 cg. How many of these stamps would have a total mass of 1 kg?
Total number of postage stamp having total mass 1 kg = 50000 stamps
Unitary Method: What is it?
The unitary method involves first establishing the value of a single unit, followed by the value of the required number of units. What can be numbers and units?
Let's say you go to the store to purchase six apples. You are told by the shopkeeper that he is selling 10 apples for Rs 100. In this example, the value and the units are the cost of the apples. Understanding the units and values is crucial when using the unitary technique to a problem.
Always write the things that need to be estimated on the right side and the variables that are known on the left side to simplify the task. In the important in the current, the number of apples is known, but it is unclear what they are worth. It should be highlighted that issues with this method are addressed using the concepts of ratio and proportion.
Given That :
1 postage stamp is = 1 cg
now we will convert cg into g
1 cg = 0.01g
1 postage stamp is = 0.02g
now we will convert g into kg
1 g = 0.001 kg
0.01g = 0.00001kg
1 postage stamp is = 0.00002kg
so now
total number of stamp in 1 kg = 1/0.00002 = 50000
Hence the ans is 50000 stamps
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I can determine if a relation is a
function.
1. Use vertical line test to determine if
the graph is a function. Why or why not?
71
(
7
2
Z
2
4
Answer:
1st Graph : Function
2nd Graph : Not a Function
Step-by-step explanation:
For the 1st Graph , any Vertical Line will not pass the Graph in more than one Point , So it represents a Function
For the 2nd Graph , many Vertical Line will pass the Graph in two Points , So it is not a Function
A motorboat maintained a constant speed of 11 miles per hour relative to the water in going 10 miles upstream and then returning. The total time for the trip was 5.5 hours. Use this information to find the speed of the current.
The speed of the current is 9 miles per hour
How to determine the speed of the current?
Given that: the motorboat maintained a constant speed of 11 miles per hour relative to the water in going 10 miles upstream and then returning.
Total time = 5.5 hours
Let s = speed of the current
speed downstream relative to land = 11 + s
speed upstream relative to the land = 11 - s
speed = distance/time
time = distance/speed
upstream time + downstream time = total time
10/11-s + 10/11+s = 5.5 (find LCM of 11-s and 11+s)
10(11+s) + 10(11-s) /(11-s)(11+s) = 5.5
110+10s+110-10s /(11-s)(11+s) = 5.5
220 = 5.5(11-s)(11+s)
220 = 5.5(121 - 11s + 11s - s²)
220 = 5.5(121 - s²)
220 = 665.5 - 5.5s²
5.5c² = 665.5 - 220
5.5c² = 445.5
s² = 445.5/ 5.5
s² = 81
s = √81 = 9
Therefore, the speed of the current is 9 miles per hour
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Consider the composite function g(f(x)) =x√6.
If f(x) = 3x2, what is g(x)?
O g(x)=√2x
O g(x)=√x+3
O g(x)=√6x
O g(x)=√9-x
The value of g(x) is √2x.
What is a composite function?
A function whose values are obtained from two given functions by first applying one to an independent variable and then using the result to apply the second, and whose domain is made up of those independent variable values for which the first function's result falls within the second function's domain.
Here, we have
g(f(x)) =x√6.
f(x) = 3x²
By applying a composite function
g(f(x)) =√6x
g(3x²) = x√6
g(x) must be √(2x)
because if we substitute x = 3x² in this we get
= (√2(3x^2))
= √2√3√(x²)
= √6 x
Hence, the value of g(x) is √2x.
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