uh help please dont know whats wrong step by step will help a lot

Uh Help Please Dont Know Whats Wrong Step By Step Will Help A Lot

Answers

Answer 1

let's keep in mind that i² = -1, and let's use the conjugate of the denominator.

[tex]\cfrac{2+5i}{3-2i}\cdot \cfrac{3+2i}{3+2i}\implies \cfrac{(2+5i)(3+2i)}{\underset{\textit{difference of squares}}{(3-2i)(3+2i)}}\implies \cfrac{6+4i+15i+10i^2}{(3)^2~~ - ~~(2i)^2} \\\\\\ \cfrac{6+19i+10(\stackrel{i^2}{-1})}{9~~ - ~~(2^2 i^2)}\implies \cfrac{6+19i-10}{9~~ - ~~4(\underset{i^2}{-1})}\implies \cfrac{-4+19i}{9+4}\implies -\cfrac{4}{13}+\cfrac{19i}{13}[/tex]


Related Questions

Solve eight and three fifths minus two and four ninths.

Answers

Answer:

6.15555555556

Step-by-step explanation:

the 5 is infinite in 6.15 such as 6.155555555 it does not stop 

Quick algebra 1 question for 50 points!

Only answer if you know the answer, quick shout-out to tariqareesha2, tysm for the help!

Please help answer my questions like these I have many more quick algebra 1 questions that are all due in 2 days so it would be much appreciated if you check them out. Once again, tysm!

Answers

The line is parallel to y axis

We know that if a line is parallel to y axis

slope=tan90=undefined

So there is no slope

Here it has constant x value as -2

So the equation is

x=-2

Option A

Answer:

x = -2

Step-by-step explanation:

The line is crossing the x-axis at -2, The graph is attached

Since it is identical to the graph given in the problem, x=-2 is the correct answer

Volume=
Help me please thanks so much asap

Answers

Answer:

600

Step-by-step explanation:

since it is a right triangle based pyramid, 2 of them will make a cube. so, it is bwh / 2.

base = 24

width = 10

height = 5

volume = 1200

volume of pyramid = 600

What is the exponential function that best models the number of gnats the scientists have
gathered after the number of hours listed in the table below?

Answers

Answer:

  (b)  f(x) = 12.5(1.6^x)

Step-by-step explanation:

An exponential model is generally of the form ...

  f(x) = a·b^x

where 'a' is the initial value (for x=0), and 'b' is the growth factor, the multiplier when x increases by 1.

Growth factor

The ratio of the f(x) values for x=0 and x=1 is 20/12 ≈ 1.67. A number close to this will be the growth factor in the exponential function. There is only one answer choice showing a growth factor near 1.6. (Eliminates choices A, C, D.)

An exponential regression model can be produced by many graphing calculators and spreadsheets. The attachment shows a model that has the values matching choice B.

Jason left a bin outside in his garden to collect rainwater. he notices that 1 over 5 gallon of water fills 2 over 3 of the bin. write and solve an expression to find the amount of water that will fill the entire bin

Answers

The amount of water that will serve the entire container exists 3/10 gallons.

What is an expression?

An expression exists a sentence with a minimum of two numbers or

variables and at least one math function.

Given: 1 over 5 gallons of water serve 2 over 3 of the container.

(1/5) gallon / (2/3) container = x gallons / 1 container

cross-multiplying the above equation, we get

1/5 = (2/3)x

multiply both sides by the reciprocal of 2/3 = 3/2

(3/2) (1/5) = x = 3/10 gallons serve the total container

Each 1/10 of a gallon serve 1/3 of the container

So 3(1/10) gallons serve 3(1/3)bins

3/10 gallons serve a whole container.

The amount of water that will serve the entire bin container exists 3/10 gallons.

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Pls solve this with step by step.

Answers

Step-by-step explanation:

-x+5+6x-7x-14

6x-8x+5-14

-2x-9

a
a
¹2-5, find £r(:)
=
En
n=l
n=1
b
Given that Σ

Answers

[tex]\sum^{\infty}_{n=1} (a/b)^n=5 \\ \\ =\frac{a/b}{1-\frac{a}{b}}=5 \\ \\ \frac{a}{b-a} =5 \\ \\ \frac{a}{b}=\frac{5}{6}[/tex]

So, we need to find

[tex]\sum^{\infty}_{n=1} n(5/6)^n

[/tex]

Let this sum be S.

Then,

[tex]S=(5/6)+2(5/6)^2 +3(5/6)^3+\cdots \\ \\ \frac{5}{6}S=(5/6)^2 + 2(5/6)^3+\cdots \\ \\ \implies \frac{1}{6}S=(5/6)+(5/6)^2+(5/6)^3+\cdots=5 \\ \\ \implies S=\boxed{30}[/tex]

Which of the following represents a function?

Answers

The image on the left represents a function. The image on the right does not as a function cannot have multiple variables for a single X quantity.

Answer: A

Step-by-step explanation:

a function is the relation between the independent variable (x) and the dependent variable (y)the defining characteristics which differentiates a function from a relation is its input and output valuesa function can only have single input value that corresponds to a single output value, or an x value can only lead to one possible y value

Option A Coordinates

[tex](-5,3)\\(-3, 1)\\(-1,-1)\\(1, -1)\\(3, 1)\\(5, 3)[/tex]

each x value only leads to one possible y valuetherefore, option A is a function

quien me hace una canción de ley de los cosenos de C por favor le doy 100 estrellas y corona​

Answers

Answer:

..........................................

Some randomly selected high school students were asked to name their favorite sport to watch. The table displays the distribution of results. A 2-column table with 5 rows. Column 1 is labeled sport with entries football, basketball, baseball, soccer, none. Column 2 is labeled probability with entries 0.23, 0.18, 0.26, 0.17, 0.16. What is the probability that a student chose football given that they like watching sports? 0.16 0.23 0.27 0.77

Answers

The probability that a student chose football given that they like watching sports is: c. 0.27.

Conditional Probability

Using this formula

P[Like (Football)/Like (Sport)]

Where:

P=Probability

Like (Football)=0.23

Like (Sport)=0.23+0.18+0.26+0.17=0.84

Let plug in the formula

P[Like (Football)/Like (Sport)]=0.23/0.84

P[Like (Football)/Like (Sport)]=0.27

Therefore the probability that a student chose football given that they like watching sports is: c. 0.27.

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Answer:

C.

Step-by-step explanation:

In order to play at the Mt. Guinea Country Miniature Golf Club, a player has to pay the membership fee and pay for each round played. The total
cost is represented by the function
T-44.09r+12.70, where T the total cost (in dollars) and r= the number of rounds played.
Which of the following statements must be true?

Answers

The answer is C, because 12.70 is the y-intercept and presumably $44.09 is the cost per round as it is being multiplied by the quantity of rounds being played, r.

I hope that this helps! :)

The table shows the first five terms for two number sequences with different rules. Select the coordinate plane that has the ordered pairs properly plotted. (4 points)

A table with three columns, with the first column titled Sequence One, the second column titled Sequence Two, and the third column titled Ordered Pair. There are five rows below the heading row. Under Sequence One is the numbers six, eight, ten, twelve, fourteen. Under Sequence Two is the numbers sixteen, thirteen, ten, seven, and four. Under Ordered Pairs is the ordered pairs six and sixteen, eight and thirteen, ten and ten, twelve and seven, and fourteen and four.

Answers

The linear function of the table of values is y = -1.5x + 25

How to plot the ordered pairs?

The table of values is given as:

Sequence One       Sequence Two       Ordered Pair        

6                                         16                           (6, 16)

8                                         13                           (8, 13)

10                                        10                           (10, 10)

12                                         7                            (12, 7)

14                                         4                            (14, 4)

From the above table of values, we can see that:

As x constantly increases by 2 i.e. +1y constantly decreases by 3 i.e. -3

This means that the table represents a linear function, and the slope of the function is

m = -3/+2

This gives

m = -1.5

A linear function is represented as:

y = mx + c

This gives

y = -1.5x + c

Using the table of values, we have

16 = -1.5 * 6 + c

Evaluate the product

16 = -9 + c

Add 9 to both sides

c = 25

Substitute c = 25 in y = -1.5x + c

y = -1.5x + 25

Hence, the linear function of the table of values is y = -1.5x + 25

See attachment for the graph of the table

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Find the value of x. A. 80 B. 110 C. 100 D. 40

Answers

Answer:

110 degrees

Step-by-step explanation:

to find the angle x, we need to use the formula to find the 50 degree angle:

(y - x) / 2 = 50

y is 210

(210 - x) /2 = 50

210-x = 100

x = 110 degrees

I cant figure this out

Answers

24 is the answer! Its all about isolation, i tried to show it a little better in the image attached. Hope this helps!!

о
О A. y< x
у>4
О B. y< x
y<4
( C. y> x
у>4
о D. y> x
y<4
-5
5
5

Answers

Answer:

b

Step-by-step explanation:

B

For the transformation t, what is t-1? t : (x, y) (x 4, y 3) t-1: (x, y) (x - 4, y - 3) (-4x, -3y) (x 3, y 2)

Answers

The transformation [tex]$\mathrm{T}^{-1}$[/tex] exists described as

[tex]$T^{-1}:(x, y) \rightarrow(x-4, y-3)$$[/tex]

The value of a exists -4 and value of b exists -3.

How to determine the value of [tex]$\mathrm{T}^{-1}$[/tex]?

The transformation T exists given as

[tex]$T:(x, y) \rightarrow(x+4, y+3)[/tex]

Let the transformation [tex]$\mathrm{T}^{-1}$[/tex] exists described as

[tex]$T^{-1}:(x, y) \rightarrow(x+a, y+b)$$[/tex]

If T and [tex]$T^{-1}$[/tex] exists inverses each other, then

[tex]$&T\left(T^{-1}(x)\right)=x \\[/tex]

[tex]$&T(x+a)=x \\[/tex]

[tex]$&x+a+4=x \\[/tex]

[tex]$&a=-4[/tex]

The value of a exists -4.

If T and [tex]$\mathrm{T}^{-1}$[/tex] exists inverses each other, then

[tex]$&T\left(T^{-1}(y)\right)=y \\[/tex]

[tex]$&T(y+b)=y \\[/tex]

[tex]$&y+b+3=y \\[/tex]

b = -3

The value of b exists -3.

The transformation [tex]$\mathrm{T}^{-1}$[/tex] exists described as

[tex]$T^{-1}:(x, y) \rightarrow(x-4, y-3)$$[/tex].

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If f (x) = x² - 7, evaluate the following: f(12) f(-7)

Answers

Answer: f(12) = 137, f(-7) = 42

Step-by-step explanation: In a function, what you want to do is plug in the value they give you for x. This means you substitute x with the value they are looking for.

In this case, they are looking at 12 and -7. Let's do 12 first.

The equation becomes (12^2) - 7. 12^2 is 144, and 144-7 is 137.

Now we do -7. The equation becomes (-7)^2 - 7. -7^2 is 49, and 49 - 7 is 42.

Hope this helped!

Which of the following expressions is equivalent to ab2 + 6ab + 7a3 – 14a?

(b + 7)(b + 6)(a2 – 2)
b(b + 6) + 7(a2 – 2)
a[b(b + 6) + 7(a2 – 2)]
a[(b + 7)(b + 6)(a2 – 2)]

Answers

Answer:

3rd answer is correct

Step-by-step explanation:

Take the common factor out.

[tex]a {b}^{2} + 6ab + 7a ^{3} - 14a \\ a[ {b}^{2} + 6b + 7 {a}^{2} - 14] \\ \blue{ a[b(b + 6) + 7( {a}^{2} - 2)]}[/tex]

The correct option is: a(b² + 7a² + 6b - 14), which matches the factorized form of the given expression.

The expression ab² + 6ab + 7a³ - 14a can be factored as follows:

ab² + 6ab + 7a³ - 14a

a(b² + 6b + 7a² - 14)

a(b² + 7a² + 6b - 14)

The expression b(b + 6) + 7(a² - 2) does not appear to be directly related to the given expression.

The expression a[(b + 7)(b + 6)(a² - 2)] is not equivalent to the given expression either.

The correct option is: a(b² + 7a² + 6b - 14), which matches the factorized form of the given expression.

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solve the following system {y=x^2-3 and {y=3x-3 graphically and algebraicallyPLEASE HELP ME IM BEGGING

Answers

Answer:

There are two solutions:  
x = 0, y = -3  Point (0, -3)
x = 3, y = -6  Point (3, 6)

The solutions are at the intersections of the two individual graphs corresponding to each of the two equations (see attached figure)

Step-by-step explanation:

Use a graphing calculator or tool to plot each equation. The point of intersection of the two is the solution to the system of equations. See attached image

Algebraically

The first equation must be equal to the second equation for a unique value of y and x

[tex]y = x^2 - 3 = 3x -3\\x^2 - 3 = 3x - 3[/tex]

Subtract 3x - 3 from both sides giving

[tex]x^2 - 3 - (3x -3) = 0\\x^2 -3 -3x + 3 = 0\\x^2 - 3x = 0\\[/tex]

Factoring out x we get
[tex]x(x-3) = 0[/tex]

This means that x = 0 and also
x -3 = 0, or x = 3

Substituting for x = 0 in y = 3x-3 gives
y = 3.0 - 3 = -3
So x= 0, y = -3 is one solution (0,-3)

Substituting for x = 3 in the same equation gives
y = 3(3) - 3 = 6
So x = 3, y = 6 is another solution (3, 6)

Please answer correctly

Answers

Answer:

Option (1)

Step-by-step explanation:

We need a recursive formula.

Eliminate option 3.

The common ratio is 2.

Eliminate options 2 and 4.

So, the answer is option 1.

35 Points + Brainest

Answers

Answer:

5/12a + 1/3b

Step-by-step explanation:

2/3a + 1/6b + (-1/6a) + 3/18b + (-1/12a)

[2/3a + (-1/6a) + (-1/12a)] + [3/18b + 1/6b]

5/12a + 1/3b

Can someone help me out? :) The answer choices are:
A) 20.0
B) 21.2
C) 22.4
D) 23.6

Answers

Answer:

20.0

Step-by-step explanation:

We can use the distance formula, d = [tex]\sqrt{(x_{1}-x_{2}) ^{2} +(y_{1}-y_{2}) ^{2}}[/tex]  to find the length of three sides separately.

AB =  [tex]\sqrt{(-4+2) ^{2} +(1-3}) ^{2}}[/tex] = [tex]\sqrt{8}[/tex]

BC =  [tex]\sqrt{(-2-3) ^{2} +(3+4) ^{2}}[/tex] = [tex]\sqrt{74}[/tex]

CA =  [tex]\sqrt{(3+4) ^{2} +(-4-1) ^{2}}[/tex] = [tex]\sqrt{74}[/tex]

Perimeter = [tex]\sqrt{74}[/tex] + [tex]\sqrt{8}[/tex] + [tex]\sqrt{74}[/tex] = 20.0330776588 units

Answer:

Step-by-step explanation:

the volume of cylinder is 448 pie cm cube and height 7 cm find its radius

Answers

Answer:

[tex]r =\bf 8 \space\ cm[/tex]

Step-by-step explanation:

The formula for volume of a cylinder is as follows:

[tex]\boxed{Volume = \pi r^2 h}[/tex]

where:

• r = radius (? cm)

• h = height (7 cm).

Substituting the values into the formula:
[tex]448 \pi = \pi \times r^2 \times 7[/tex]

Now solve for [tex]r[/tex]:

⇒ [tex]r^2 = \frac{448 \pi }{\pi \times 7}[/tex]

⇒ [tex]r = \sqrt{64}[/tex]

⇒ [tex]r =\bf 8 \space\ cm[/tex]

[tex] \huge\mathbb{ \underline{SOLUTION :}}[/tex]

Given:

[tex]\longrightarrow\bold{Volume= 449 \pi cm^3}[/tex]

[tex]\longrightarrow\bold{Height= 7cm}[/tex]

[tex]\longrightarrow\sf{V= \pi r^2 h}[/tex]

[tex]\longrightarrow\sf{448 \pi= \pi r^2 \cdot 7}[/tex]

[tex]\longrightarrow\sf{448=

7r^2}[/tex]

[tex]\longrightarrow\sf{r^2= \dfrac{448}{7} }[/tex]

[tex]\longrightarrow\sf{r^2=64}[/tex]

[tex]\huge \mathbb{ \underline{ANSWER:}}[/tex]

[tex]\longrightarrow\sf{r= 8cm}[/tex]

Select the correct answer. What is the value of the limit ? lim x 5 square x^2 +4

Answers

By direct evaluation, we will see that the limit is equal to 29.

How to find the limit?

Here we want to find the limit of the given expression when x tends to 5.

[tex]\lim_{x \to \ 5} x^2 + 4[/tex]

We can directly evaluate the expression in x = 5 and see if we get a real value different than zero.

By direct evaluation, we get:

[tex]\lim_{x \to \ 5} x^2 + 4 = 5^2+ 4 = 29[/tex]

Notice that the limit does give a whole number, then in this way, we conclude that the limit of the given expression when x tends to 5 is equal to 29.

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Answer:

square 29

Step-by-step explanation:

two trains are moving towards each other on the same railroad track. From this track there's an offshot peice of railroad- the length of whice is shorter than the length of the train but longer than the length of one train car. How can the trains pass eash other?

Answers

If the length of whice is shorter than the length of the train but longer than the length of one train car then the train can pass one car at a time.

Given that two trains are moving towards each other on the same railroad track. From this track there's an offshot peice of railroad- the length of whice is shorter than the length of the train but longer than the length of one train car.

We are required to find how the trains pass each other.

Two cases are there:

For each car in the shorter train

Train A leaves one of its cars on the offshot.Both trains move until train B car move the car from the offshoot the portion of track away from train A.Train B moves to allow the cycle to repeat.

We assume that cars can be decoupled at any point in the train,so that any required order of cars can be preserved.We further assume that train can move any one of the A's car in addition to all of them.

The total number of cars lengths that must pass the off shoot is the product of the number of cars in both the trains.So,it does not seems to matter which train makes use of the offshoot.

Hence if the length of whice is shorter than the length of the train but longer than the length of one train car then the train can pass one car at a time.

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In △MDK, m=16.4, d=22, and k=19. Identify m∠D rounded to the nearest degree. The figure shows triangle M D K. The length of side M D is k units. The length of side D K is m units. The length of side K M is d units.
Answers;
a) 46°
b) 58°
c) 76°
d) 14°

Answers

The length of the sides,MD, DK, and KM gives the measure of the angle m<D as c) 76°

Which method can be used to find the measure of angle m<D?

In triangle ∆MDK, we have;

m = 16.4

d = 22

k = 19

Using cosine rule, we get;

d² = m² + k² - 2•m•k•cos(D)

Therefore;

2•m•k•cos(D) = m² + k² - d²

[tex]D = arccos \left( \frac{ {m}^{2} + {k}^{2} - {d}^{2} }{2 \cdot m \cdot k} \right)[/tex]

Which gives;

[tex]D = arccos \left( \frac{ {16.4}^{2} + {19}^{2} - {22}^{2} }{2 \times 16.4 \times 19} \right) \approx {76}^{ \circ} [/tex]

m<D = 76°

The correct option is therefore;

c) 76°

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Answer:

76

Step-by-step explanation:

Use the Law of Cosines to find m∠D

.The figure shows the same triangle as in the beginning of the task. Angle M D K is highlighted in red.

Set up the equation for the Law of Cosines.

d2=k2+m2−2kmcosD

Substitute the given values and solve for m∠D

.222=192+16.42−2(19)(16.4)cosD

Simplify.

484=629.96−623.2cosD

Subtract 629.96

.−145.96=−623.2cosD

Divide by −623.2

0.234=cosD

Use the inverse cosine function to find m∠D

and round to the nearest degree.

The figure shows a screen of a graphical calculator. The inverse cosine of 0 point 2 3 4 is calculated. The result is 76 point 4 6 7 3 1 6 4 6.

m∠D=cos−1(0.234)≈76∘

Therefore, m∠D≈76∘

hope it helps you!

.

Confused about this question

Answers

Answer:

17.1

Step-by-step explanation:

Plug in -1 for x, this gets you -4.

Solve 2^-4 and get .0625.

Add .0625 to 17 and get 17.0625.

The question says answer to the nearest tenth so you round the 6 up to a 1 giving you 17.1

Angles 1 and 2 form a right angle. 2 lines form a right angle. another line extends between the 2 lines to form 2 angles. the top angle is labeled 1, and the bottom angle is labeled 2. which word describes their measures?

Answers

The word complementary describes the their measures of ∠1 and ∠2.

According to the statement

we have given that the some conditions like

Angles 1 and 2 form a right angle. 2 lines form a right angle. another line extends between the 2 lines to form 2 angles. the top angle is labeled 1, and the bottom angle is labeled 2.

And we have to find the word that describes all about the given angles.

So, For this purpose,

According the given conditions, we recall that:

Angles that are complementary angles whose sum equals 90 degrees.

A right angle equals 90 degrees.

From the information given, we know that:

m∠1 and m∠2 forms a right angle.

Since a right angle = 90 degrees, therefore:

m∠1 + m∠2 = 90° (complementary)

So, The word complementary describes the their measures of ∠1 and ∠2.

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Answer: complementary

Step-by-step explanation: took the test on edge!

What is next year's expected cash flow if there is a 50/50 probability that it will be either $10 million or $60 million?

Answers

The next year's expected cash flow if there is a 50/50 probability that it will be either $10 million or $60 million is $35 million.

What is probability?

Probability refers to possibilities. This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. The probability formula states that the ratio of positive outcomes to all other outcomes determines how likely an event is to occur.

Sum of outcomes= 410+$60=$70 million

Number of outcomes=2

As the probability is 50/50, the next year’s expected cash flow will be

10+60/(2)

=70/2

=35 million dollars.

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The following table represents a relation. X Y -3 0 0-2 5 -3 11-2 Does the table represent y as a function of c? Why or why not? No, because a number in the input is the same as a number in the output. Yes, because there are no x-values with more than one y-value. Yes, because every x-value has at least one y-value. No, because there are two inputs that have the same output.​

Answers

The table represent y as a function of c, Yes because every x-value has at least one y-value.

According to the question,

X       -3          0          5            11

Y        0           2          -3          -2

In order to find the table represent y as a function of c, When x = -3; y=0; x= 0 ;y=2; x= 0 y=2; x= 5 y=-3; x= 11 y=-2.

No, because a number in the input is the same as a number in the output.

⇒ Above option is wrong, because a number in the input is not same as a number in the output.

Yes, because there are no x-values with more than one y-value.

⇒ Above option is wrong, because there are many x-values with more than one y-value.

Yes, because every x-value has at least one y-value.

⇒ Above option is correct, because every x-value has at least one y-value.

No, because there are two inputs that have the same output.

⇒ Above option is wrong,  because there are not two inputs that have the same output

Hence, the table represent y as a function of c, Yes, because every x-value has at least one y-value. Above option is correct, because every x-value has at least one y-value.

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What is the work generated by a healthy adult who circulates 9 l of blood through the brachial artery in 10 min? The chapters covered this week deal with common and preferred stock financing, as well as dividend policy and retained earnings, which can be related to the concept of investments. From a christian worldview, what does the bible say about investments?. When you return after traveling through a sandstorm a routine service should be scheduled to change the ___________, oil filter and the oil 4|a| + 8 -a, if a = -2PLEASE HELP!!!!!!!!!!!!!! I'm stuck on this!! Today, Stephen is three times as old as Gautham. Ten years ago Stephen turned 2. How old will Gautham bein 8 years? If the signal light changes from green to yellow as you enter the intersection, you should:_______ What safety measures would you advise someone to follow during a natural disaster? Please type your response in Spanish. Brass is an alloy made by melting and mixing copper and zinc. A metallurgist has two brassalloys, one that is 65% copper and one that is 90% copper. He would like to combine aportion of each alloy to produce 500 g of a new alloy that is 75% copper.Write a system of equations for this problem ____________ sought to harness the communicative power of art to reach a wide audience. A ________ rate means the value of the currency is fixed relative to a reference currency and then the exchange rate between that currency and other currencies is determined by the reference currency exchange rate. How would shoot and root growth be affected by a mutation that caused plants to lose the ability to polymerize glucose into starch granules? Please Help!Below are the data collected from two random samples of 500 American adults on the number of hours they work per day (rounded to the nearest hour):Number of hours of work per day 6 7 8 9 10Sample A: Number of adults 60 90 145 150 55Sample B: Number of adults 70 80 140 145 65Ryan concludes that adults spend a mean of 8 hours working each day. Malia thinks the mean is 9 hours. Who is correctRyan or Malia? Make Sure You Do Tis Because I Will Report You If You Don'tExplain your answer in two or three sentences. Make sure to use facts to support your answer. Which clinical finding represents a contraindication to the administration of nitroglycerin? Diego wants to paint his room purple. He bought one gallon of purple paint that is 30% red paint and 70% blue paint. Diego wants to add more blue to the mix so that the paint mixture is 20% red, 80% blue.1. How much blue paint should Diego add? Test the following possibilities: 0.2 gallons, 0.3 gallons, 0.4 gallons, 0.5 gallons.0.2 gallons0.2 gallons,0.3 gallons0.3 gallons,0.4 gallons0.4 gallons,0.5 gallons0.5 gallons,BoldItalicUnderlineImage (12 image limit)Increase indentDecrease indentFormula keypadUndoRedoBullet listNumbered listEdit imageView imageDelete image2. Write an equation in which x represents the amount of paint Diego should add.3. Check that the amount of paint Diego should add is a solution to your equation. Researchers suggest that completely eliminating cardiovascular disease in the united states would increase our average life expectancy by? You have been given the project of running cables in the space between the structural ceiling and the suspended ceiling in your office building. which cable types would you use for this project? each of the two equal angles of an isosceles triangle is half the third angle find the angles of the triangle for each reasons it gives you the options to choose: commutative property of addition, associative property of addition, distributive property, and combining like terms How did the knights of labor impact the populist movement in the late 1800s? the knights of labor were involved in the creation of granges and farmers alliances in the late 1800s. the knights of labor were a factor in the formation of the populist party in the late 1800s. the knights of labor led to the widespread circulation of free silver coinage in the late 1800s. the knights of labor led to the 1890 election of william jennings bryan in the late 1800s. After their first date, Miguel sends flowers to Cara to see how she will respond.According to the six-stage model, this most likely took place during what stage of the relationship?