The resulting complex number is -10 - 10i.
How to subtract complex numbers?When subtracting complex numbers, the real and imaginary components of each complex number are taken into account independently. The real and imaginary components of one complex number are then subtracted from the real and imaginary components of the other complex number, respectively. The equation for subtracting complex numbers is as follows:z₁ - z₂ = (a + ib) - (c + id)
= (a - c) + i(b - d)
Given complex number: -4-(1+i)-(5+9i)
-4-(1+i)-(5+9i)
Remove the parentheses and combine the real and the imaginary parts respectively.
(- 4 -1 -5) - i(1 + 9)
-10 - 10i
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5 is to 7 as 15 is to x.
Answer:
x = 21
Step-by-step explanation:
To get your answer, you can turn these to fractions: 5/7 = 15/x
5 * 3 = 15
7 * 3 = x
x = 21
which equation are correct select each other answer
Answer:
A and D (the top one and the bottom one)
Step-by-step explanation:
You do not multiply the exponents when the two terms are be multiplied. Instead, you add the exponents. For example, in the first problem, the terms being multiplied are [tex]5y^4[/tex] and [tex]2y^5[/tex]. The exponents are 4 and 5, and when you add them together, that is the exponent that y should carry in the answer.
Hope this helps you! May I please get a brainliest?
At a sale, shirts were sold for $15 each. This price was 20% off their original price. What was the original price?
Answer:
The original price was 18 dollars.
Step-by-step explanation:
Givens
Final price = 15 dollars
Discount = 20%
Original Price = x
Formula
x = 15 + 20/100 15
Solution
x = 15 + 300/100 Multiply 20 * 15. Divide by 100
x = 15 + 3
x = 18
Question - For the functions f(x) = 5x and g(x) = 4x − 5, find (f o g)(x) and (g o f)(x)
provide your answer.
(f o g)(x)= , (g o f)(x)=
Factor the following trinomial.
9x² + 30x + 25
The factor of the trinomial 9x² + 30x + 25 is (3x + 5).
What is Factoring Trinomials?When you factor a trinomial, you change an algebraic expression from a trinomial to a binomial. ax² + bx + c, where a and b are coefficients and c is a constant, is the general expression for a trinomial, which is a polynomial with three terms.
Given trinomial: 9x² + 30x + 25
Factoring the trinomial, we get
9x² + 30x + 25
9x² + 15x + 15x + 25
3x(3x + 5) + 5(3x + 5)
(3x + 5)²
Therefore, (3x + 5) is the factor of the given trinomial.
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look at the image
answer options are:
(a) and (b)
Neither
Only (a)
Only (b)
Answer: (a) only
Step-by-step explanation:
For there to be inverse proportion, the product of x and y must be constant.
Which pair of angels are alternate exterior angles
○ <1and <2
○ <1and<7
○ <2and<7
○ <2and<5
∠2 and ∠7 are a pair of angels are alternate exterior angles .
A transversal that crosses two parallel lines results in alternate exterior angles.
They form two pairs of alternate outside angles since they are situated "outside" the two parallel lines but on different sides of the transversal (four total angles).When a third line, a transversal, separates two lines, the expression "alternating exterior angles" is frequently used. The alternate exterior angles theorem states that pairs of alternate exterior angles are congruent if k and l are parallel. A: One of two internal angles inside the two intersecting lines, also known as an alternate internal angle. B: One of two angles with distinct vertices that are on opposite sides of a transversal at the intersection of two other lines.So from the given figure the pairs of external alternate angles are:
∠1 and ∠8
∠2 and ∠7
Hence of the given options , ∠2 and ∠7 is the required external alternate angles .
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Please help I’ll mark you as brainliest if correct!!
Answer:
14, 9, 16
Step-by-step explanation:
from 3 to 10, you add 7
from 10 to 5, you minus 5
from 5 to 12, you add 7
from 12 to 7, you minus 5
so the pattern is add 7, minus 5
7 plus 7 is 14
14 minus 5 is 9
9 plus 7 is 16
How to find the slope of a graph? 9 and 10
9. To draw the rise, you can follow these steps:
- Identify a point on the line. In this case, this can be:
[tex](-3,1)[/tex]- Draw a vertical line that rises from that point. See the picture below:
10. To draw the line that represents the run, you need to Draw a horizontal line that goes from the endpoint of the line that represents the rise and extend it until it touches the function. See the picture below:
Therefore, the answers are (See the picture):
Lines A and B are parallelA155°34fB5 67 8m 27 = [ ? ]°
From the diagram we notice that the angle of 55° is vertical opposite to angle 3, hence they are equal.
Also from the diagram we notice that angles 3 and 6 are alternate interior angles and since lines A and B are parallel then they are equal.
Finally angle 6 and angle 7 are vertical opposite, which means they are equal.
Therefore, the value of angle 7 is 55°
Can someone please help me with this, it’s geometry by the way
Answer:
congruent: a° and c°; d° and b°
Supplementary: c° and b°; a° and b°; a° and d°; c° and d°
Step-by-step explanation:
Write a problem that could be solved by finding 5/8 divided by 2/5.
Answer:107/56 is the answer
Which decimal is equivalent to39?
Answer: is 7
Step-by-step explanation: Its 7 cuz 14 weeks
19. Write an ordered pair for the point in Quadrant II, that is 8 units away from the point Q
(0.75 -3.25) on a coordinate plane.
An ordered pair of point in Quadrant II is 8 units away from this point, the resulting point will be (-7.25, 4.25)
In this question, we need to find an ordered pair for the point in Quadrant II, that is 8 units away from the point Q(0.75 -3.25) on a coordinate plane.
If we have a coordinate point (x, y) in Quadrant ||, if the coordinate is 8 units away, the resulting coordinate will be expressed as (x - 8, y + 8)
Given the point Q(0.75, -3.25) on the coordinate the plane, if a point in Quadrant II is 8 units away from this point, the resulting point will be (0.75 - 8, -3.25 + 8) which is (-7.25, 4.25)
Therefore, an ordered pair a point in Quadrant II is 8 units away from this point, the resulting point will be (-7.25, 4.25)
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Ariya likes to play golf. The number of times per year that she plays depends on the price of playing a round of golf, Ariya's income, and the price of other types of entertainment-in particular, the price of going to a movie instead of playing golf. The three demand schedules in the following table show how many rounds of golf per year Ariya will demand at each price per round under three different scenarios. In scenario D1, Ariya's income is $50,000 per year and movies cost $9 each. In scenario D2, Ariya's income is also $50,000 per year, but the price of seeing a movie rises to $11. And in scenario D3, Ariya's income goes up to $70,000 per year, while movies cost $11.
Scenario
Income per year
Price of movie ticket
Price of Golf
$50
$35
$20
D1
$50,000
$9
15
25
40
D2
$50,000
$11
Quantity Demanded
10
15
20
D3
$70,000
$11
15
30
50
Answer:
Using the data under D1 and D2, calculate the cross elasticity of demand for golf at all three prices. (To do this, apply the midpoints approach to the cross elasticity of demand.) At $50, cross elasticity = -2.40 ± 0.05At $35, cross elasticity = -3.00 ± 0.05At $20, cross elasticity = -4.00 ± 0.05Is the cross elasticity the same at all three prices? No. Are movies and golf substitute goods, complementary goods, or independent goods? Complementary goods.b. Using the data under D2 and D3, calculate the income elasticity of demand for golf at all three prices. (To do this, apply the midpoints approach to the income elasticity of demand.) At $50, income elasticity of demand = 1.40 ± 0.05At $35, income elasticity of demand = 2.33 ± 0.05At $20, income elasticity of demand = 3.00 ± 0.05Is the income elasticity the same at all three prices? No. Is golf an inferior good? No, it is a normal good.
The required statement is given as the data tends to the normal good.
Statistics is the study of mathematics that deals with relations between comprehensive data.
Calculate the cross elasticity of demand for golf at each of the three prices using the information under D1 and D2.
At $50, the cross elasticity is equal to -2.40 ± 0.05;
At $35, it is - 3.00± 0.05;
At $20, it is - 4.00 ±0.05.
No golf and movies complementary, independent, or alternative goods complementing products b.
Calculate the income elasticity of demand for golf at each of the three prices using the information under D2 and D3.
At $50, the income elasticity of demand is equal to 1.40±0.05
At $35, it is 2.33± 0.05
At $20, it is 3.00± 0.05
Thus, the required statement is given as the data belong to the normal good.
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i need help plssssssssssddd
Answer:
see explanation
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
(a)
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 0) and (x₂, y₂ ) = (0, - 2) ← 2 points on the line
m = [tex]\frac{-2-0}{0-(-3)}[/tex] = [tex]\frac{-2}{0+3}[/tex] = - [tex]\frac{2}{3}[/tex]
(b)
the y- intercept is the point on the y- axis where the line crosses, that is
y- intercept c = - 2
(c)
y = - [tex]\frac{2}{3}[/tex] x - 2 ← equation of line
If the price of cord of firewood starts at $255 with a quantity supplied of 300 cords, then rises to $348 per cord, what is the new quantity supplied at this price? Assume the slope of the supply curve is 0.75. Round your answer to the nearest cord. A cord of firewood is a stack of wood 4 feet high x 8 feet long x 4 feet deep.
The new quantity supplied when the price is $348 per cord is 424.
What is the new quantity supplied?The supply curve is a graph that shows the relationship between price and quantity supplied. The supply curve has a positive slope.
The slope of the supply curve is the ratio of the change in the value of price divided by the change in the value of the quantity supplied.
Slope = change in price / change in quantity supplied
0.75 = ($348 - $255) / change in quantity supplied
0.75 = $93 / change in quantity supplied
change in quantity supplied = 93 / 0.75 = 124
The new quantity supplied = 300 + 124 = 424
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question linked in pic
iven:
heere are given that the population in the year 2000 was 12000 and the growth rate is 7% per year.
xplanation:
ccording to the question:
For t =0 which is the year 2000:
[tex]P(0)=12000[/tex]For t = 1:
[tex]P(1)=12000+7\%(12000)[/tex]If we say r is the rate, then:
[tex]\begin{gathered} P(1)=12000+r(12000) \\ P(1)=12000(1+r) \end{gathered}[/tex]Then,
For t = 2:
[tex]\begin{gathered} P(2)=12000(1+r)(1+r) \\ P(2)=12000(1+r)^2 \end{gathered}[/tex]And,
For t = 3:
[tex]P(3)=12000(1+r)^3[/tex]Therefore our function should be:
(a):
he population function:
[tex]P(t)=12000(1.07)^t[/tex]Now,
(b):
ccording to the question:
2008 is 8 year from year 2000:
Therefore, t = 8:
Then,
Put the value 8 for t into the function (a):
[tex]\begin{gathered} P(8)=12000(1.07)^t \\ P(8)=12000(1.07)^8 \\ P(8)=12000(1.718) \\ P(8)=20616 \end{gathered}[/tex]inal answer:
[tex]P(t)=12000\times(1.07)^{t-2000}[/tex]help video
Brooklyn is trying to pick out an outfit for the first day of school. She can choose from
6 pairs of pants, 8 t-shirts, 3 sweaters or hoodies, and 5 pairs of shoes. How many
different outfits does Brooklyn have to choose from?
Answer:
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attempt 1 out of 2
Answer:
There are 16 ways in which Danny can mix and match all his outfits. You can determine this by multiplying. 4 x 2 x 2. Danny has 4 shirts. He can wear each with two different pants, so 4 x 2 giving 8 different shirt/pant combinations. Now each combination can be worn with two different pairs of shoes, so 8 x 2 giving 16 total combinations of shirt, pants and shoes.
Step-by-step explanation:
How many outfits does that make? First he has to decide on a pair of pants and he has 4 different choices. For each of those choices he has a choice of 7 ...
you would times each one for example 6 x8 6x3 6x5 and 8x6 8x3 8x5 and 3 x6 and so forth
Find the x intercepts of the graph of the function.
g(x)=1/4(x-6)(x-3). Hint x intercepts happen when g(x)=0.
The x intercepts of the function given in the question will be equal to x = 6 and x = 3.
A function may be defined as an entity in which for one value of input there is only one value of output. The input value is the value of x variable, or the independent variable and the output value is the value of y variable or the dependent variable. For example, f(x) = y = x + 2, in this function for the value of input x = 1 the value of output is y = 3. The x intercept of a function may be defined as the point on the graph at which the line of function crosses the x axis. For finding the x intercept the y value or the value becomes zero. We are given the function g(x) = (1/4) (x - 6) (x - 3)
Now, g(x) = 0
(1/4) (x - 6) (x - 3) = 0
=> (x - 6) (x - 3) = 0
=> x = 6 and x = 3
Therefore, x intercepts are x = 6 and x = 3.
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You bought 6 tickets for $40 and wanted to know how many tickets you could get for $200,
you would write the following proportion:
Answer:
30
Step-by-step explanation:
200/40=5
5x6=30
therefore there are 30 tickets you could get with 400$
hope this helped
have a great day ^^
Answer:
30 tickets
Explanation:
One ticket can be represented as variable t.
Using t, we can set up an equation (proportion) using the given information:
[tex]6t = \$ 40[/tex]
Then, we can multiply both sides of the equation (proportion) by something such that the number of dollars on the right side is $200.
[tex]6t \ = \ \$ 40 \\\times 5 \ \ \ \times 5[/tex]
[tex]30t = \$ 200[/tex]
So, we can get 30 tickets for $200.
What is the range of the function f(x) = |x – 5| – 3?
R: {f(x) ∈ ℝ | f(x) > 2}
R: {f(x) ∈ ℝ | f(x) < 2}
R: {f(x) ∈ ℝ | f(x) ≥ –3}
R: {f(x) ∈ ℝ | f(x) ≤ –3}
Reason:
The smallest |x-5| can get is 0 since the result of an absolute value is never negative (because it represents distance).
So the smallest f(x) = |x-5|-3 can get is 0-3 = -3
f(x) = -3 or f(x) > -3 are the only two options for the output f(x).
Condense that into [tex]f(\text{x}) \ge -3[/tex] to arrive at choice C as the final answer.
The fancy notation of f(x) ∈ ℝ translates to "f(x) is a real number".
If you were to graph this using a tool like Desmos, then notice how the lowest point occurs when y = -3
See the diagram below.
Answer:
R: {f(x) ∈ ℝ | f(x) ≥ –3}
Step-by-step explanation:
I got it right on the test.
1. evaluate (a-2b)^3 when a = -3 and b = - 1/2 enter the answer
2. evaluate (jk - 1) ÷ j when j = -4 and k = -0.9 enter as a decimal
3. evaluate -|a+b| /fraction line/ 2-c when a =1 7/8 , b = -1 , and c = -4 enter as a simplified fraction
4. evaluate (w^2 /fraction line/ x - 3) ÷ 10 multiplied by z when w = -9 , x = 2.7 , and z= -2/5 enter as simplified mixed number
5. evaluate (2a - 1/3) ÷ b/15 when a = -2/5 and b = -8.25 enter as simplified mixed number
The corresponding values of expressions 1, 2,3,4 and 5 when evaluated are -2, -0.65, -7/48, 67 1/2 and 2 2/33
How to evaluate algebraic expressions?1. To evaluate (a-2b)^3 when a = -3 and b = - 1/2, put a = -3 and b = - 1/2 into the expression (a-2b)^3:
(a-2b)^3 = ( -3 - 2(-1/2) )
= (-3 + 1) = -2
2. To evaluate (jk - 1) ÷ j when j = -4 and k = -0.9, put j = -4 and k = -0.9 into the expression (jk - 1) ÷ j:
(jk - 1) ÷ j = ( -4(-0.9) - 1) ÷ (-4)
= (3.6 -1) ÷ (-4) = (2.6) ÷ (-4) = -0.65
3. To evaluate -|a+b| / 2-c when a =1 7/8 , b = -1 , and c = -4 , put b = -1 , and c = -4 into the expression -|a+b| / 2-c:
-|a+b| / 2-c = -|1 7/8 + (-1)|/ 2 -(-4)
= -| 7/8 | / 6 = -7/48
4. To evaluate (w^2 / x - 3) ÷ 10 multiplied by z when w = -9 , x = 2.7 , and z= -2/5:
(w^2 / x - 3) ÷ 10z = ((-9)²/ 2.7 -3) ÷ 10(-2/5)
= (81/(-0.3)) ÷ (-4) = -270/-4 = 67 1/2
5. To evaluate (2a - 1/3) ÷ b/15 when a = -2/5 and b = -8.25:
(2a - 1/3) ÷ b/15 = (2(-2/5) - 1/3) ÷ -8.25/15
= (-4/5 - 1/3) ÷ (-11/20) = -17/5 ÷ (-11/20) = 2 2/33
Therefore, the expressions 1, 2,3,4 and 5 evaluate to -2, -0.65, -7/48, 67 1/2 and 2 2/33 respectively
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Chelsy wants to buy a new pair of jeans in one store the jeans are selling for 1/5 off the original price of $70 in second store the same jeans are selling for 1/3 off the original price $81 chelsy wants to buy the cheaper pair of jeans in which store should chelsy buy the jeans and how much will they cost
iN linear equations, store 1 jeans is cheaper than store 2.
What are instances of linear equations?
Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5.When an equation is given in this format, finding both intercepts is rather simple (x and y).When attempting to solve systems involving two linear equations, this form is also quite helpful.one store the jeans are selling for 1/5 off the original price of $70
$70 * 1/5 = 14
second store the same jeans are selling for 1/3 off the original price $81
$81 * 1/3 = 27
So, store 1 jeans is cheaper than store 2.
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If the ratio of girls to boys on the trackteam is 5 to 6, which of these showspossible numbers of girls to boys onthe track team?A 24 girls, 20 boysB 50 girls, 56 boysC 60 girls, 50 boysD 20 girls, 24 boys
The ratio of 5 to 6 means that for every 5 girls on the track team there are 6 boys.
So, if there are n groups of 5 girls, there should be also n groups of 6 boys. Thus, we have the proportion:
[tex]\frac{\text{ number of girls}}{\text{ number of boys}}=\frac{5}{6}[/tex]Then, let's check each item to find out which one shows possible numbers of girls to boys on the track team.
A. 24 girls, 20 boys
[tex]\frac{\text{ number of girls}}{\text{ number of boys}}=\frac{24}{20}=\frac{24\colon4}{20\colon4}=\frac{6}{5}\ne\frac{5}{6}[/tex]B. 50 girls, 56 boys
[tex]\frac{\text{ number of girls}}{\text{ number of boys}}=\frac{50}{56}=\frac{50\colon10}{56\colon10}=\frac{5}{5.6}\ne\frac{5}{6}[/tex]C. 60 girls, 50 boys
[tex]\frac{\text{ number of girls}}{\text{ number of boys}}=\frac{60}{50}=\frac{60\colon10}{50\colon10}=\frac{6}{5}\ne\frac{5}{6}[/tex]D. 20 girls, 24 boys
[tex]\frac{\text{ number of girls}}{\text{ number of boys}}=\frac{20}{24}=\frac{20\colon4}{24\colon4}=\frac{5}{6}[/tex]Therefore, option D is correct.
The graph of y = f (x) is given. Graph the indicated function.Graph y = f (-x) - 4
Note the - sign in the evaluation of f(x), which changes the function directly, and the term -4 indicates a displacement vertically (down), but the graph goes up because of the sign -, therefore, the only option with these conditions is option b.
The correct answer is option b.
Trey buys a bag of cookies that contains 4 chocolate chip cookies, 6 peanut butter cookies, 7 sugar cookies and 7 oatmeal cookies.What is the probability that Trey reaches in the bag and randomly selects a sugar cookie from the bag, eats it, then reaches back in the bag and randomly selects an oatmeal cookie? Give your answer as a fraction, or accurate to at least 4 decimal places.
Solution
The total number nof cookies in the bag is:
[tex]4+6+7+7=24\text{ cookies}[/tex]- Thus, we can write the probabilities of choosing any of the cookies are given as:
[tex]\begin{gathered} P(\text{chocolate chip)}=\frac{4}{24} \\ \\ P(\text{Peanut Butter)}=\frac{6}{24} \\ \\ P(\text{Sugar Cookies)}=\frac{7}{24} \\ \\ P(\text{Oatmeal)}=\frac{7}{24} \end{gathered}[/tex]- Now, let us analyze Trey's random choices
Choice 1:
He chose a sugar cookie at first.
- Thus, the probability of this choice is
[tex]P(\text{Sugar Cookies})=\frac{7}{24}[/tex]Choice 2:
- He chose an oatmeal cookie in the second choice.
- But he already had one cookie before this choice, thus, the total number of cookies is one less. That is, 23 not 24.
- Thus, the probability of choosing the oatmeal cookie is given as:
[tex]P(\text{Oatmeal)}=\frac{7}{23}[/tex]- Because these choices do not interfere with one another (i.e. they are mutually exclusive), we can apply the AND probability formula to calculate the probability that Treys chose a Sugar Cookie first, and then an Oatmeal cookie next.
- The AND probability is given as
[tex]P(A\text{ AND }B)=P(A)\times P(B)[/tex]- Thus, we can find the probability that Trey chooses Sugar Cookies first and Oatmeal Cookie next as follows:
[tex]\begin{gathered} P(\text{Sugar Cookies AND Oatmeal)}=\frac{7}{24}\times\frac{7}{23} \\ \\ P(\text{Sugar Cookies AND Oatmeal)}==\frac{49}{552} \end{gathered}[/tex]Final Answer
The answer is
[tex]P(\text{Sugar Cookies AND Oatmeal)}==\frac{49}{552}[/tex]Mr. Jackson earns $10 per hour working in an electronics store. In addition, he earns 5% commission on all of his computer sales. Last week, he worked 5 days from 9 am to 3 pm and sold $3,100 worth of computers. What was Mr. Jackson's total income for the week?
hey what is 159 x 26
Adam is baking 4 pizzas. Each pizza is a rectangle. It takes Adam 35 minutes to bake the pizzas. He divides each pizza into the equal-size square slices shown.
Answer:
Step-by-step explanation:
Incomplete question.