Answer:
(-3 + 5 i) (1) = (-3 + 5 i)
Step-by-step explanation:
The multiplicative identity property says you can multiply anything by 1 without changing its value. That is demonstrated by the equation above.
Answer:
EDGE2020 is B
The Ivy Hill Sunshine Club collected 524 cans for a canned food drive. The cans were then split up equally into 8 boxes. How many cans were in each box??? (Hurry please)
Simplify to create an equivalent expression. 8k−5(−5k+3) Choose 1 answer: A 33k+15 B 33k-15 C 3k+3 D 3k-3
Answer:
B 33k-15
Step-by-step explanation:
[tex]8k-5(-5k+3)\\\mathrm{Expand}\:-5\left(-5k+3\right):\quad 25k-15\\=8k+25k-15\\= 33k-15[/tex]
Which graph has a rate of change of zero?
Answer:
The line on the graph would be a flat line
Step-by-step explanation:
The line would not move up or down at all.
Answer:
A graph having a constant rate of change equal to zero means that the value of y is constant. A graph with slope zero is a horizontal line.
twenty one and six hundred five thousandths
Answer:
21.605 in number form
Answer: 21.605000
This is twenty-one and six hundred five thousandths in number form. I hope this helps you out!
4.
3. On the first day of summer, Jackson landed in Japan
with $7440 in his account. He plans to spend an
average of $120 each day on his tour of Asia.
a) Write recursive and explicit functions m(t) to represent
the amount money left at t days.
Recursive:
Explicit:
R
Answer:
recursive: a[1] = 7440; a[n+1] = a[n] -120explicit: a[n] = 7440 -120(n -1)Step-by-step explanation:
The sequence of amounts in Jackson's account will be ...
7440, 7320, 7200, ...
with a first value (a1) of 7440 and a common difference (d) of -120.
The recursive formula for an arithmetic sequence is ...
a[1] = a1
a[n+1] = a[n] +d
For our sequence, the recursive formula is ...
a[1] = 7440
a[n+1] = a[n] -120
__
The explicit formula for an arithmetic sequence is ...
an = a1 +d(n -1)
For our sequence, the explicit formula is ...
a[n] = 7440 -120(n -1)
if c(x)= 5/x-2 and d(x)=x+3, what is the domain of (cd)(x)
Answer:
Step-by-step explanation:
cd(x) would equal c(x) multiplied by d(x) so we get [tex]\frac{5(x+3)}{x-2}\\[/tex] = [tex]\frac{5x+15}{x-2}\\[/tex].
The domain of [tex]\frac{5x+15}{x-2}[/tex] is anything except 2, so the domain of (cd)(x) is (-inf, 2) U (2, inf).
(5x-2)+(4x-4)+(6x-8)
Answer:
15x -14
Step-by-step explanation:
(5x-2)+(4x-4)+(6x-8)
Combine like terms
(5x+4x+6x-2+-4-8)
15x -14
Answer:
15x - 14Step-by-step explanation:
[tex](5x - 2) + (4x - 4) + (6x - 8) \\ 5x - 2 + 4x - 4 + 6x - 8 \\ 5x + 4x + 6x - 2 - 4 - 8 \\ 15x - 14[/tex]
Calculate the volume of a cylindrical container, whose diameter is 24cm and height is 14cm
6336
6326
6226
6126
Answer:
[tex] \boxed{\sf Volume \ of \ the \ cylindrical \ container = 6336 \ cm^3} [/tex]
Given:
Diameter (d) = 24 cm
Height (h) = 14 cm
To Find:
Volume of the cylindrical container (V)
Step-by-step explanation:
[tex] \boxed{ \bold{\sf Volume \ (V) = \pi \frac{ {d}^{2} }{4} h}}[/tex]
Substituting values of π, d & h in the equation:
[tex] \sf \implies V = \frac{22}{7} \times \frac{ {(24)}^{2} }{4} \times 14[/tex]
[tex] \sf \implies V = \frac{22}{ \cancel{7}} \times \frac{576}{4} \times 2 \times \cancel{7}[/tex]
[tex] \sf \implies V = 22 \times \frac{144 \times \cancel{4}}{ \cancel{4}} \times 2[/tex]
[tex] \sf \implies V = 22 \times 144 \times 2[/tex]
[tex] \sf \implies V = 22 \times 288[/tex]
[tex] \sf \implies V = 6336 \: {cm}^{3} [/tex]
Answer:
V =6333.45079
Step-by-step explanation:
The volume of a cylinder is
V = pi r^2 h
We know the diameter is 24
r = d/2 =24/2 = 12
V = pi*12^2 * 14
V =2016 pi
Letting pi = pi button
V =6333.45079
a ____ is when a parent function experiences either movement or alteration.
Answer:
transformation
Step-by-step explanation:
Which value of x satisfies the equation 5(2x-9)+3=-7
Answer:
x = 7 / 2
Step-by-step explanation:
5(2x - 9) + 3 = -7 ---------- subtract 3 from both sides
5(2x - 9) + 3 - 3 = -7 - 3
5(2x - 9) = -10 ------ divide both side by 5
2x - 9 = -2 ---------- add 9 to both sides
2x - 9 + 9 = -2 + 9
2x = 7
x = 7 / 2
1.Simplifying the following expression small 1-3s-s+8-2, the new expression is blank
Answer:
Step-by-step explanation:
1 - 3s - s + 8 -2 = 1 + 8 - 2 -3s - s
= 9 - 2 - 4s
= 7 - 4s
Here, 1 , 8 & (-2) are like term and when we add we get 7
-3s & -s are like terms. Add the coefficient of s , -3 +(-1) = -4
Draw a conclusion from the given information. look at picture...
Thanks! Please help soon! :)
Hey there! I'm happy to help!
When looking for a conclusion, we have to find something that we can figure out from the information but they don't directly tell us.
Answer B says that a conclusion is that the lines meet at a 90 degree angle, but they already told us that, so this is wrong.
Answer C does the same thing, so it is wrong as well.
A 90 degree angle is a right angle. They already told us that the lines intersect at a right angle, so this is not a conclusion.
Answer A says that the lines are perpendicular. They don't directly tell us that these specific lines are perpendicular, but from the information they gave us we can figure it out. Therefore, the correct answer is A. The lines are perpendicular.
Have a wonderful day! :D
[MA5T10 E] Name the property being illustrated.
45(25 - 5) = (45 x 25) - (45 x 5)
A) Commutative Property
B) Associative Property
C) Distributive Property
D) Subtraction Property
the ratio of the side length of square A to the side length of square B is 3 : 5. the perimeter of square B IS 60 feet. what is the area of square A?
Answer:
81 square ft
Step-by-step explanation:
square B has a site lenght of 15ft
therefore square must have one of 3/5 of 15 which is 9
the area is 9x9=81
1. Two times the sum of a number and five is 26?
2. Eight times a number increased by nine?
Answer:
1. x = 8
2. 8(x+9)
Step-by-step explanation:
2(x + 5) = 26
2x + 10 = 26
2x = 26 - 10
2x = 16
x = 16/2
x = 8
8(x+9)
Answer:
Hey there!
1. 2(n+5)=26
n+5=13
n=8
2. 8(n+9)
Let me know if this helps :)
TW¯¯¯¯¯¯¯¯¯=3, CW¯¯¯¯¯¯¯¯¯=x, TU¯¯¯¯¯¯¯=x+7, VW¯¯¯¯¯¯¯¯¯=6. Find the value of x.
Answer:
x = 4
Step-by-step explanation:
TW = 3
WU = TU - TW = x + 7 - 3 = x + 4
CW = x
VW = 6
By the property of intersecting chords inside a circle, we have:
TW * WU = CW * VW
3(x + 4) = x * 6
3x + 12 = 6x
12 = 6x - 3x
12 = 3x
12/3 = x
4 = x
x = 4
The value of x is 4.
What is the intersecting chords theorem?The chord theorem is defined as a statement in basic geometry that explains the relationship between the four line segments formed by two intersecting chords inside of a circle. According to this statement, the products of the line segment lengths on each chord are equal. It is also known as the intersecting chords theorem.
According to given figure,
TW = 3,
CW = x,
VW = 6,
Chord TU = x + 7,
WU = TU - TW
Substitute the value of Chord TU in above equation,
WU = x + 7 - 3
WU = x + 4
According to property of intersecting chords inside a circle, the products of the line segment lengths on each chord are equal.
TW × WU = VW × CW
3(x + 4) = 6 × x
3x + 12 = 6x
12 = 6x - 3x
12 = 3x
x = 12/3
x = 4
Hence, the value of x is 4.
Learn more about intersecting chords theorem here :
https://brainly.com/question/14681467
#SPJ5
What number, c, completes the square? X^2 + 8x + c
Answer:
16
Step-by-step explanation:
If you divide 8 by 2 it is 4 and 4 times itself is 16. Because to complete the square you find half of b and square it for c.
given FH with coordinates F(4,-5) and H(-8,19), if G lies on FH such that that the ratio of FG to FH is 1:6, find the coordinates of G
Answer:
G = (2, -1)
Step-by-step explanation:
You want ...
FG/FH = 1/6 = (G -F)/(H -F)
H -F = 6(G -F)
H +5F = 6G . . . . . . add 6F, simplify
G = (H +5F)/6 . . . . .divide by 6
Substituting the given coordinates, we get ...
G = ((-8, 19) +5(4, -5))/6 = (-8+20, 19 -25)/6 = (12, -6)/6
G = (2, -1)
The number of people living in a country is increasing each year exponentially so that the number of people 5 years ago was 15,000. The number of people now is 26,000. What is the present population of the country? What equation can we use to describe the situation, if we let the growth rate be represented by r? Solve the equation for r. What is the growth rate? What will the population be 5 years from today?
Answer:
The present population of the country is 26,000.
[tex]y=a(1+r)^{x}[/tex]
The growth rate is approximately 12%.
The population 5 years from today will be 45,821.
Step-by-step explanation:
(1)
The present population of the country is 26,000.
(2)
It is provided that the number of people living in a country is increasing each year exponentially.
Then the exponential growth function can be used to describe the situation.
The exponential growth function is:
[tex]y=a(1+r)^{x}[/tex]
Here,
y = final value
a = initial value
r = growth rate
x = time
(3)
It is provided that x = 5 years ago the population was a = 15,000 and at present the population is y = 26,000.
Compute the value of r as follows:
[tex]y=a(1+r)^{x}[/tex]
[tex]26000=15000\times (1+r)^{5}[/tex]
[tex](1+r)=[\frac{26000}{15000}]^{1/5}[/tex]
[tex]1+r=1.1163[/tex]
[tex]r=0.1163\\r\approx 0.12[/tex]
Thus, the growth rate is approximately 12%.
(4)
Compute the population 5 years from today as follows:
[tex]y=a(1+r)^{x}[/tex]
[tex]=26000\times (1+0.12)^{5}\\\\=26000\times 1.762342\\\\=45820.892\\\\\approx 45821[/tex]
Thus, the population 5 years from today will be 45,821.
.
An angle measures 28° less than the measure of its complementarylangle. What is the
measure of each angle?
Answer:
59 degrees and 31 degrees.
Step-by-step explanation:
Complementary angles form a 90 degree angle. Let's say that one angle measures x degrees. If one angle is x degrees, the other measures 28 degrees less. So, the other measures x - 28 degrees.
x + (x - 28) = 90
2x - 28 = 90
2x = 118
x = 59 degrees.
The other angle measure will then be 59 - 28 = 31 degrees.
Hope this helps!
Answer:
59° and 31°
Step-by-step explanation:
Complementary angle sum 90°
a + b = 90
a = b - 28
then:
(b - 28) + b = 90
2b - 28 = 90
2b = 90 + 28
2b = 118
b = 118/2
b = 59°
a = b - 28
a = 59 - 28
a = 31°
Probe:
59° + 31° = 90°
HELP WITH THIS EZ QUESTION
Answer:
89
Step-by-step explanation:
[tex]3+75t-16t^{2} =h\\\\[/tex]
we evaluate when t=2
[tex]3+75(2)-16(2)^2=h\\\\3+150-64=h\\\\h=89[/tex]
so it's 89 feet
Answer:
89
Step-by-step explanation:
JUST TRUST ME
10) Workmen used 3/5 of a pallet of pavers to build some steps leading up to the
mansion. They used 1/10 of a pallet for each step. How many steps did they build?
Answer:
6 steps
Step-by-step explanation:
Step 1: Convert 3/5 to have the same denominator as 1/10
[tex]\frac{3}{5}=\frac{(3)(2)}{(5)(2)} =\frac{6}{10}[/tex]
Step 2: How many times does 1 fit into 6
6 / 1 = 6
Therefore the workmen built 6 steps
Solve the equation x=3y for y
Step-by-step explanation:
x-3y=3y-3y
x-3y=0
hope this helps
Answer:
____________________
y = x / 3
x over 3
____________________
Please help with this.
Step-by-step explanat: c.18
FIRST ONE TO ANSWER GET'S A BRAINLIEST!!! PLZ HELP ME!!!
Solve for y, if x= -3
Equation: 2x-5y=4
Answer:
-2/5
Step-by-step explanation:
find the slope (0, -3) and (9, 0) PLEASE SHOW YOUR WORK, WILL MARK BRAINLEIST
===================================================
Work Shown:
Use the slope formula to get
m = (y2 - y1)/(x2 - x1)
m = (0 - (-3))/(9 - 0)
m = (0 + 3)/(9 - 0)
m = 3/9
m = 1/3
----------------
Basically we subtract the y coordinates, and do the same for the x coordinates as well (subtract in the same order). Afterward, divide the two results. Reduce the fraction as much as possible.
A slope of 1/3 means we move up 1 unit each time we move to the right 3 units.
The slope being positive means the line goes uphill as you read from left to right.
The temperature of a town at 3:00 p.m. was
41 °C. The temperature recorded at 9:00 p.m.
was 29 °C. Find the fall in temperature per
hour, if the temperature falls at a constant rate
per hour.
Answer:
-2° per hour
Step-by-step explanation:
3 PM => 41°
9 PM => 29°
Find the temperature fall rate.
First, there are 6 hours between 3 and 9, and the temperature decreased 41 - 29 = 12° in those 6 hours. To find the rate, simply divide the degrees difference by the number of hours => 12/6 = 2° per hour; and since it's a descending rate, you put a negative ( -2°).
Angelina drew a net of a container in the shape of a triangular pyramid. The base is an isosceles triangle with sides measuring 24 cm, 20 cm, and 20 cm. A triangular pyramid. The base has a base of 24 centimeters and height of 16 centimeters. A side has a base of 24 centimeters and height of 21 centimeters. 2 sides have a base of 20 centimeters and height of 22 centimeters. [Not drawn to scale] Which statement about the area of the pyramid is true? The base area is 384 centimeters squared. The lateral area is 692 centimeters squared. The surface area is 740 centimeters squared The area of each congruent face is 264 centimeters squared.
Answer:
Bb
Step-by-step explanation:
Answer:
884
Step-by-step explanation:
Took the assignment on edg
maggie pays $9.28 for 8m of ribbon.
what is the cost of the ribbon per meter
Answer:
$1.16 per meter
Step-by-step explanation:
You need to divide the coat by the meters.
9.28/8
= 1.16
So one meter of ribbon would cost $1.16.
Answer: $1.16
Step-by-step explanation:
cost of ribbon per meter= cost/meter
$9.28/8m=$1.16/m
-7-7 (2m-7) = 7 (6+m)
Answer:
m= 0
Step-by-step explanation:
this is the right answer
-7-14m+49=42+7m
42-14m=42+7m
14m+7m=42-42
21m=0
m=0
Answer:
or,-14(2m-7)=7(6+m)
or,-28m + 98=42 + 7m
or,98-42=7m+28
or,56=35m
or,56/35=m
therefore,m=1.6 Ans