Answer:
j = -1
Step-by-step explanation:
Eliminate parentheses:
-24 -3j = -16 +5j
Add 3j+16
-8 = 8j
Divide by the coefficient of j.
-1 = j
[tex]\rm⇢ \: \: - 3(8 + j) = - 16 + 5j[/tex]
[tex]\rm⇢ \: \: - 24 - 3j = - 16 + 5j[/tex]
[tex]\rm⇢ \: \: 5j + 3j = - 24 + 16[/tex]
[tex]\rm⇢ \: \: 8j = - 8[/tex]
[tex]\rm⇢ \: \: j = - 1[/tex]
Help please!!
A small party balloon has a maximum volume of 500 cm3. Unfortunately, it has a leak that allows 10 cm of air to escape every second. a Write down an equation for the volume (v cm) of the party balloon, t secs after it starts to leak.
Step-by-step explanation:
I think you mean that 10 cm³ of air are escaping every second.
and we start with a volume of 500 cm³.
V = 500 - 10t 0 <= t <= 50
because negative t (seconds) don't make any sense, and neither does a negative volume (for t > 50).
Help!! I don’t understand these
Answer:
First one :
Function? Yes
Domain : { -1 , -2 , -3 }
Range { 10 , 13 , 16 }
Second one:
Function? No
Domain : { 2 , 3 }
Range : { 10 , 13 , 16 }
Third one :
Function ? No
Domain : { 33 , 35 , 36 }
Range : { 8 , 10 }
Step-by-step explanation:
A function is a relation where each input has its own output. In other words a function is a relation where each x value has its own y value. If an x value repeats the relation is not a function.
The domain is the set of x values in a relation whereas the range is the set of y values in a relation
For the first one. No x value repeats, each input has its own output therefore this is a function.
Domain : { -1 , -2 , -3 }
Range { 10 , 13 , 16 }
The second one : The x value 2 repeats therefore the relation is not a function.
Domain : { 2 , 3 }
Range : { 10 , 13 , 16 }
The third one : Each x value has its own y value therefore this relation is a function. ( Note that y values are allowed to repeat )
Domain : { 33 , 35 , 36 }
Range : { 8 , 10 }
What is the value of 2^2n ?
Answer:
2^2n = 4n
hope it helps you :)
Answer:
4n
Step-by-step explanation:
2^2n = 4n
hope u liked this answer :)
The graph of a function is shown on the coordinate plane below. Identify the rate of
change of the function.
=========================================================
How to get that answer:
The slope is the rate of change for any linear function.
Apply the slope formula for any two points on the diagonal line.
I'll use the points (-4, -3) and (0, 4)
[tex]m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{4-(-3)}{0-(-4)}\\\\m = \frac{4+3}{0+4}\\\\m = \frac{7}{4}\\\\[/tex]
The slope is m = 7/4
This indicates that each time we go up 7 (rise), we also go to the right 4 units (run)
slope = rise/run = 7/4
rise = 7, run = 4
The fraction 7/4 converts to the decimal form 1.75
How do I use Pythagorean Theorem to find out if a triangle has a right angle
In order to use the Pythagorean Theorem to find out if a triangle has a right angle, you have to determine If the squares of the two shorter sides add up to the square of the hypotenuse, then you know the triangle contains a right angle.
Use the distributive property to write an equivalent expression.
9(w + 3x)
a produce store sold 32 red apples. if the ration of red apples to green apples sold was 8:3, what is the combined amount ofred and green apples sold?
Answer:
12 apples
Step-by-step explanation:
32/8=4 Then you multiply it by 3 to get 12.
Answer:
41:9
Step-by-step explanation:
You have 32 red apples.
And a ratio of red apples to green.
The ratio is 8:3.
This ratio is a simplified veiw of it.
You need to do,
32 ÷ 8
which equals 3.
So then multiply both sides of the ratio by 3.
8 × 3 is 32
3 × 3 is 9.
Your new ratio is,
32:9
Red apples to green apples.
Now since you need the total amount of apples to green apples.
Add 32 and 9.
Which is 41 total apples.
Your new ratio is,
41:9
Help help help help help math
Answer:
8
Step-by-step explanation:
Find the product (3a- 4a)^2
Tell whether the lines through the given points are parallel, perpendicular, or neither.
Line 1: (1, 0), (7, 4)
Line 2: (7, 0), (3, 6)
Answer: Perpendicular
Step-by-step explanation: If you graph these points you will get two lines that from at a right angle and cross through each other. This means they are perpindicular.
Answer:
Perpendicular
Step-by-step explanation:
Lines that are parallel have the same slope, and lines that are perpendicular have an negative reciprocal slope.
To clarify, the reciprocal of 2 would be 1/2, and the negative reciprocal of 2 would be -1/2.
Calculate the slope of the lines by dividing the difference in y by the difference in x:
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m_1=\frac{4-0}{7-1}=\frac{4}{6}=\frac{2}{3}\\\\m_2=\frac{6-0}{3-7}=\frac{6}{-4}=-\frac{3}{2}[/tex]
m₂ is the negative reciprocal of m₁, so these lines are perpendicular.
Showing the graph in the image as an example, though the equations only have the slope and not the y-intercept so the points wont be on the lines.
Please help me with my Geometry.
Step-by-step explanation:
2 similar triangles (the angles are the same, and the lengths of the corresponding sides have the same multiplication factor from one triangle to the other) :
1. support post (14ft), post to back (b), the long roof line
2. front to post (f), support post (14ft), dotted line
so, because the multiplication factor is the same for the sides, the ratio
"support post" / f
must be the same as
b / "support post"
14 / f = b / 14
b = 14²/f = 196/f
and then we know that
f + b = 53
by putting the first into the second equation we get
f + 196/f = 53
f² + 196 = 53f
f² - 53f + 196 = 0
the solution of such a quadratic equation in general is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
x = f
a = 1
b = -53
c = 196
f = (53 ± sqrt(53² - 4×1×196))/(2×1) =
= (53 ± sqrt(2809 - 784))/2 = (53 ± sqrt(2025))/2 =
= (53 ± 45)/2
f1 = (53 + 45)/2 = 98/2 = 49
f2 = (53 - 45)/2 = 8/2 = 4
as the distance "front to post" is shorter than "back to post", f2 = 4 must be or solution.
therefore, the support post is positioned 4ft from the front of the house.
44,880 2 poir 8) A pen cost $39 and a pencil cost $17 less. What is the total cost of one pen and two pencils? *
Answer:
check online for more information
What percent of 80 is 10?
Carrie is driving to a friend’s house for the weekend. The friend lives in a town 160 mi. away. So far, Carrie has driven 64 mi. What percent of the drive does she have left?
Answer:
12.5% and 60%
Step-by-step explanation:
0.125 x 80 = 10
160-64 = 96
96/160 = 0.6
0.6 x 100 = 60%
à
A recipe calls for 1.25 cups of brown sugar to make a batch
of cookies. How many cups of brown sugar are needed for
5 batches of cookies?
Please help find these values.
Answer:
3. x=14° y=7
4. x=29° y=3
Step-by-step explanation:
3. this is a 45 - 45- 90 triangle
so the side is a-a-a√2 ( two sides are the same)
4y-3=10+2y+1 -- collect like terms
4y-2y=10+1+3
2y=14
y=7
find the angle of the inside triangle
180-59-90 =
31°
we know the big triangle was a 45-45-90 angle
so x+31=45
x=45-31
x=14°
4. this is a square, all sides are same
5y+3y=24
8y=24
y=3
angle is 90°
x+x+9y+5=90
we know y=3 --substitute
x+x+9(3)+5=90
2x+27+5=90
2x=90-27-5
2x=58
x=58/2
x=29
Blake has xx dimes and yy nickels. He has a minimum of 13 coins worth at most $1 combined. Solve this system of inequalities graphically and determine one possible solution.
Blake has 5 dimes and 10 nickels.
Let x represent the number of dimes and y represent the number of nickels.
Each dime is worth 10 cent ($0.1) and each nickel is worth 5 cents ($0.05).
Since he has a minimum of 13 coins, hence:
x + y ≥ 13 (1)
It is worth at most $1 combined, hence:
0.1x + 0.05y ≤ 1 (2)
From the graph, a possible solution is (5, 10).
Blake has 5 dimes and 10 nickels.
Find out more about inequalities at: https://brainly.com/question/241541
helppppppppppppppppp
Answer:
A multiplicative inverse or reciprocal for a number x, is denoted by 1/x or x‾¹.
So, the answer to your question is B. a × (1/a) = 1.
Hope this helps!! :)
Help me pleaseeee with this
Please answer this question step by step!
No links please.
Whoever gives correct answer will get a thank you aswell.
Answer:
[tex]x = \frac{3}{2} [/tex]
Step-by-step explanation:
first distribute
[tex] \frac{36x - 9}{2x} = 15[/tex]
next multiply both sides by 2x
[tex]36x - 9 = 15(2x) \\ 36x - 9 = 30x[/tex]
simplify
[tex] - 9 = - 6x[/tex]
divide both sides by -6
[tex] \frac{ - 9}{ - 6} = x \\ \frac{3}{2} = x[/tex]
As part of a large poster, a graphic designer dilates a rectangular image so its length in the poster is 46 inches and its width is 21 inches. The original image has dimensions that are 3/8 of the dimensions of the image in the poster. What is the width of the original image?
(A) 2 inches (c) 101 inches
(B) 7 7/8 inches (D) 17 1/4 inches
Answer:
B
Step-by-step explanation:
21 inches to 7 inches
The width of the original image is B) [tex]7\frac{7}{8}[/tex] inches.
Given that: The width of the large poster is 21 inches.
Given that: The original image has dimensions that are 3/8 of the dimensions of the image in the poster.
So the width of the original image is = [tex]\frac{3}{8}\cdot21=\frac{63}{8}=7\frac{7}{8}[/tex]
Learn more: https://brainly.com/question/16596053
(-3C^4-5C^2-7C)+(4C^4+8C^3+2C^2) in standard form
Answer:
C(C^3 + 8C^2 -3C -7)
Step-by-step explanation:
(-3C^4-5C^2-7C)+(4C^4+8C^3+2C^2)
(-3C^4 +4C^4)+8C^3 + ( -5C^2 +2C^2) -7C [Combine like terms]
C^4 + 8C^3 -3C^2 -7C [Simplify]
C(C^3 + 8C^2 -3C -7) [Isolate 1C from the rest]
2 decreased by the sum of m and 8
Answer:
(m+8) - 2
Step-by-step explanation:
for these two rates, calculate the unit rate and determine if these two rates are proportional
A forest covers 73,000 acres. A survey finds that 0.4% of the forest is old-growth trees. How man acres of old-growth trees are there?
There are__?__ acres of old-grown trees.
Answer:
292 acres.
Step-by-step explanation:
OK so if there are 73,000 acres of trees in total and 0.4% are old we would simply calculate what 0.4% of 73,000 which is 292. So of those 73,000 acres of trees 292 acres of them would be "old-growth trees".
Describe the error in finding the measure of the angle.
Find the LCM of 14 and 18 using prime factorizations.
Answer:
126
Step-by-step explanation:
Please help!!!!!!!!!!
Answer:
its c
Step-by-step explanation:
help please!
i can't figure it out.
Answer:
35
Step-by-step explanation:
8 + 27 would give us 35
We add the negative since it starts from there and works it's way up.
Find the equation of a line whose graph passes through the two points (2,-3) and (4,-8).
Answer:
y=-5/2x+2
y+3= -5/2. (x-2)
Step-by-step explanation:
Answer:
y=-5/2x+2
Step-by-step explanation:
y=mx+b, where m is slope, b is y-int and y and x are variables.
Step 1: plot your points
Step 2: draw a line thru them
Step 3: find the slope. -5/2. And your y-int. +2
Hope that helps! Brainliest is appreciated :)
loria has some dimes and quarters. If she has 18 coins worth a total of $2.25, how many of each type of coin does she have?
Answer:
dimes: 5
quarters:8
Step-by-step explanation:
she has 2$ in quarters and $0.25 in dimes
Answer:
10 Dimes and 5 Quarter
Step-by-step explanation:
Important info:
18 Coins worth a total of $2.25
Note:
Dimes = .10
Quarter = .25
10 Dimes = 1.00
4 Quarter = 1.00
Question to Answer:
How many each type of Coin does she have?
Solution:
Lets get rid of .25 in $2.25 :)
So that 1 Quarter..
2.00
Takes away 1.00 = 10 Dimes
Now we have 1 Quarter and 10 Dimes.
1.00 Left..
4 Quarter = 1.00
So now we have 5 Quarter and 10 Dimes..
Check Work:
5 Quarter = 1.25 and 10 Dimes = 1.00
1.25+1.00=
$2.25
Hence. Loria has 5 Quarter and 10 Dimes.
{ Couldn't figure out 18 Coins worth a total of $2.25 the closest I could get was 15 Coins worth a total of $2.25}
~[ RevyBreeze]~