Answer:
[tex]360xy^2|xz^3|[/tex]
Step-by-step explanation:
Given expression:
[tex]12x \sqrt{900x^2y^4z^6}[/tex]
[tex]\textsf{Apply radical rule} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}:[/tex]
[tex]\implies 12x \sqrt{900}\sqrt{x^2}\sqrt{y^4}\sqrt{z^6}[/tex]
Replace 900 with 30² :
[tex]\implies 12x \sqrt{30^2}\sqrt{x^2}\sqrt{y^4}\sqrt{z^6}[/tex]
[tex]\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0:[/tex]
[tex]\implies 12x \cdot 30|x|\sqrt{y^4}\sqrt{z^6}[/tex]
[tex]\implies 360x|x|\sqrt{y^4}\sqrt{z^6}[/tex]
(We need to use the absolute value of √x² since the x term was originally to the power of 2, which means the value of x² is always positive since the exponent is even).
[tex]\textsf{Apply exponent rule} \quad \sqrt{a^m}=a^{\frac{m}{2}}:[/tex]
[tex]\implies 360x|x|\cdot y^{\frac{4}{2}}\cdot z^{\frac{6}{2}}[/tex]
Simplify:
[tex]\implies 360xy^2|xz^3|[/tex]
(We need to use the absolute value of z³ since the z term was original to the power of 6, which means the value of z⁶ is always positive since the exponent is even).
A wagon is being pulled by a handle making a 40° angle with a force of 35 pounds. What amount of force is moving the wagon along level ground? Round to the nearest tenth.
The amount of force is moving the wagon along ground level will be 26.8 pound
A force in physics is an effect that has the power to alter an object's motion. A mass-containing object's velocity can vary, or accelerate, as a result of a force. Intuitively, a push or a pull can also be used to describe force. Being a vector quantity, a force has both magnitude and direction.
Given a wagon is being pulled by a handle making a 40° angle with a force of 35 pounds
We have to find amount of force is moving the wagon along level ground
The angle with force is given 40 degree
So the formula to find amount of force is moving the wagon along level ground will be as follow:
Fₓ = F cosθ
Fₓ = 35 * cos40
Fₓ = 26.8 pound
Hence amount of force is moving the wagon along ground level will be 26.8 pound
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Derek works 43 hours at a rate of pay of $15 per hour. He receives double pay over 40 hours. What is his gross pay?
The Gross pay which Derek gets is 690 dollars.
What is Gross Pay?Gross pay is what employees earn before taxes, benefits and other payroll deductions are withheld from their wages. The amount remaining after all withholdings are accounted for is net pay or take-home pay.
Here, Total hours worked by Derek = 43 hours
Rate of pay = $15 per hour
Rate of pay beyond 40 hours = $30 per hour
Now,
Rate of pay for the first 40 hours = 40 X 15 = $ 600
Since the pay rate doubles after 40 hours,
Rate of pay for the remaining 3 hours = 3 X 30 = $ 90
Gross Pay = 600 + 90 = $ 690
Thus, the Gross pay which Derek gets is 690 dollars.
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1/4 ÷9=????????????????????????????????????????????????????????????????????????????????????????????????????????????
Answer:
1/36
Step-by-step explanation:
¼ / 9
9 as a fraction is 9/1
use KFC (keep flip change)
¼ x ⅑ = 1/36
[tex] \frac{1}{4} \div 9 \\ \\ first \: way \\ 0.25 \div 9 \\ 0.027 \\ \\ second \: way \: \\ \frac{1}{4} \times \frac{1}{9} \\ \frac{1}{36} \\ 0.027[/tex]
PLEASE GIVE BRAINLIEST
Given: ∠E and ∠F are supplementary and ∠F and ∠G are supplementary.
Prove: ∠E≅∠G
1) ∠E and ∠F are supplementary and ∠F and ∠G are supplementary (given)
2) m∠E+m∠F=180 degrees, m∠F+m∠G=180 degrees (supplementary angles have measures that add to 180 degrees)
3) m∠E=m∠G (subtraction property of equality)
4) ∠E≅∠G (angles with equal measure are congruent)
Determine the equation of a line passing through the point (2,-6), with a slope of m=-1
Answer:
sub(2，-6)into y=mx+C
-6=-1(2)+C
C=-4
equation=y=-x-4
Answer:
y = -x - 4
Step-by-step explanation:
Given:
a line with a slope of -1, passing through the point (2,-6)
Point-Slope Form: y - y₁ = m(x - x₁)
where:
(x₁, y₁) is the given point
m is the slope
Substitute the given values into the formula:
⇒ y - y₁ = m(x - x₁)
⇒ y - (-6) = -1(x - 2)
⇒ y + 6 = -1(x - 2) [distribute -1 through the parentheses]
⇒ y + 6 = -x + 2 [subtract 6 from both sides]
⇒ y + 6 - 6 = -x + 2 - 6
⇒ y = -x - 4
Check your work:
⇒ y = -x - 4 [substitute 2 for x, and -6 for y]
⇒ -6 = -2 - 4 [simplify]
⇒ -6 = -6 ✔
Therefore, the equation of the line is: y = -x - 4
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Which expressions are equivalent to the given equation. Logarithmic form
The expression that is equivalent to the given logarithm equation is log₄ 1 / 4 + log₄ x²
How to solve logarithm?log₄ (1 / 4 x²)
Using logarithm law, the logarithm can be express as follows;
using logarithm law,
Therefore, the expression that is equivalent to the given logarithm equation is as follows:
using addition law for logarithm,
log₄ (1 / 4 x²) = log₄ 1 / 4 + log₄ x²
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2/5 X -3/4
i need help on this
Answer:
[tex]-\frac{3}{10}[/tex]
Step-by-step explanation:
[tex]\frac{2}{5} *-\frac{3}{4} \\=-\frac{6}{20} \\=-\frac{3}{10}[/tex] (Reduced to simplest form.)
Find the radius of a circle with area 345 square centimetres
For 35 points need asap in 10 MINS!!!! :)
5.9
Step-by-step explanation:
345√ is 18.6=3.14*r2 cuz formula
Is πr2
What’s the slope of this graph? Can y’all guys help please ! Thank y’all
Answer:
3
Step-by-step explanation:
we can think of the slope of a graph as [tex]\frac{rise}{run}[/tex]
the "rise" is the difference in y-values between two points (the change in y)
the "run" is the difference in x-values between two points (the change in x)
when we divide these (rise/run), we find the slope
you can choose any two well-defined points (with clear x and y values), here are the two we will be using:
(remember, points are written as (x, y) )
(0 , 2)
(-1 , -1)
for the "rise", we have risen 3 (difference between 2 and -1 = 3 [2- -1 = 3] )
for the "run" we have ran 1 (difference between 0 and -1 = 1) (0 - - 1 = 1)
so, the slope for this graph is: 3/1 ; which simplifies to 3
So, the slope of our graph is 3
--------------------------------------------------------------
technical layout:
[tex]m=\frac{y_{2} -y_{1}}{x_{2}-x_{1}}[/tex] (note: slope is called "m" in the format of y=mx + b)
[tex]y_{1}[/tex] means one y-value, [tex]y_{2}[/tex] means other y-value
[tex]x_{1}[/tex] means one y-value, [tex]x_{2}[/tex] means other x-value
{note: it is important to keep the y1 and x1 from the same point, and the y2 and x2 from a shared point}
our equation in this layout:
[tex]m=\frac{2 -(-1)}{0-(-1)}[/tex] = [tex]m=\frac{3}{1}[/tex]
m = 3
I need it now!!! pls
Answer:
To answer 5)
First we know that...
[tex]\frac{235}{360}[/tex] of the circle = 94 people
To find total people=
[tex]\frac{235}{360}[/tex]×x=94
x=144 people
To find the number of hokey players: 360-(235+90) =35
so, [tex]\frac{35}{360}[/tex]×144=14
So, 14 people are chose hockey
Help me with this please and thank you!! :)
Answer:
Step-by-step explanation:
[tex]A \cap C[/tex] denotes the set of elements in both A and C, which is [tex]\{20, 24, 28\}[/tex].[tex]B^{C}[/tex] denotes the complement of set B, which is the set of all elements that are in the universal set that are not in set B. In this case, this set is [tex]\{3, 4, 5, 6, 8, 11, 13, 16, 17, 19, 20, 22, 23, 24, 25, 26, 27, 28\}[/tex]find the perimeter of the triangle
Answer:
x²+14x+11
Step-by-step explanation:
Find the perimeter of the triangle.
The perimeter is:
add them
-x²+9x
2x²+6
5x+5
x²+14x+11
quizlet
What is the range of the function graphed below?
find SP when profit loss is given
Answer:
the formulas for profit and loss percentage are given below profit percentage p profit cost price into 100 loss percentage l is equal to loss cost price is into 100 SP
8) 3/
of the magazines sold at a newsagents were wedding magazines.
What is this as a percentage?
44
Answer:
0.0085× 100= 0.85℅
Step-by-step explanation:
okay so you want 3/8 from 44 as percentage but how can you put the 3/8 on top of the 44 to multilply it by 100 to get the percentage, ofcourse we will have to change the 3/8 into a whole number. To do that we are going to do the following.
= 3 ÷ 8 = 0.375, so here you got a number that you can put on the 44.
Now to get the percentage we are going to do this:
0.375/44 × 100
= 0.0085 × 100 ( I solved the 0.375/44 as you know that division always comes first in maths)
= 0.85℅ ( I solved the 0.0085 × 100)
°•°•° I hope this helped sorry for taking long °•°•° May I get brainliest if you liked my ans im trying to lvl up ty and its okay if you don't want to
need help i don't know what im doing?
Answer:
X=5
Step-by-step explanation:
f(1)= -1^2+4(1)+12=15
f(2)= -2^2+4(2)+12=16
f(3)= -3^2+4(3)+12=15
f(4)= -4^2+4(4)+12=12
f(5)= -5^2+4(5)+12=7
g(1)=1+2=3
g(2)=2+2=4
g(3)=3+2=5
g(4)=4+2=6
g(5)=5+2=7
so g(5)=f(5)= X=5
Answer:
Step-by-step explanation:
You're suppose to plug in the values 1, 2, 3, 4, 5, and 6 into f(x) and g(x) to find where they're equal to find the solution to f(x) = g(x) (when the column values are equal).
So for example
f(1) = -(1)^2 + 4(1) + 12
f(1) = -1 + 4 + 12
f(1) = 15
g(1) = 1 + 2
g(1) = 3
put these two values in the table for f(1) and g(1)
f(2) = -(2)^2 + 4(2) + 12
f(2) = -4 + 8 + 12
f(2) = 16
g(2) = 2 + 2
g(2) = 4
f(3) = -(3)^2 + 4(3) + 12
f(3) = -9 + 12 + 12
f(3) = 15
g(3) = 3 + 2
g(3) = 5
f(4) = -(4)^2 + 4(4) + 12
f(4) = -16 + 16 + 12
f(4) = 12
g(4) = 4 + 2
g(4) = 6
f(5) = -(5)^2 + 4(5) + 12
f(5) = -25 + 20 + 12
f(5) = 7
g(5) = 5 + 2
g(5) = 7
f(5) = g(5) so the solution is when x=5
f(6) = -(6)^2 + 4(6) + 12
f(6) = -36 + 24 + 12
f(6) = 0
g(6) = 6 + 2
g(6) = 8
10 times the sum of certain numbers x and y
This can be represented by [tex]\boxed{10(x+y)}[/tex]
The first term of a sequence is 5.
The term-to-term rule is 'add 8'. What is the 10th term of the sequence?
Answer:
[tex]\fbox {77}[/tex]
Step-by-step explanation:
Given
⇒ a = 5
⇒ d = + 8
Solving :
⇒ a₁₀ = a + 9d
⇒ a₁₀ = 5 + 9(8)
⇒ a₁₀ = 5 + 72
⇒ a₁₀ = 77
yo
24
yx
SECTION B
(a) Identity element;
(b) Inverse of 3 and -5 under *
Range y
[30 marks]
Answer all the questions in this section. All questions carry equal marks.
1. A binary operation is defined on the set of real numbers, R, by x + y = x + y + 10.
Find the:
The inverse of 3 and _ 5
Answer:
Sorry I don't know the answer
if a tap leaks at the rate of 1 L per half minute, how many litres are Lost after 10 minutes?
Answer:
The answer is 20 L
Step-by-step explanation:
if 1/2 minutes = 1 L
10 minutes = 20 L
Answer:
20 liters
Step-by-step explanation:
when working with math problems about the rate that something is happening, it is typically helpful to find the unit rate.
In this case, the unit rate will be how many liters are lost in 1 minute (per unit essentially means per "1" )
we know that 1 liter is lost in 1/2 minute
1/2 minute = 1 liter
×2 ×2 {multiply both sides by 2 to find "1 minute"}
1 minute = 2 liters
So, for every 1 minute, we lose 2 liters
if we have 10 minutes, we can multiply both sides by 10:
1 minute = 2 liters
×10 ×10
10 minutes = 20 liters
So, after 10 minutes, 20 liters are lost
hope this helps!!
Which of the following linear equations passes through points (-1,5) and (1,-5)?
Y=-5x
Y=5x+10
Y=-2x+3
Answer:
y = -5x
Step-by-step explanation:
gradient = delta y / delta x
gradient = -10 / 2
gradient = -5
y = mx + b
5 = -5(-1) + b
5 = 5 + b
b = 0
y = -5x
3. Omar chooses a marble at random from the bag shown below. Without putting
the first marble back, he chooses another marble.
What is the probability that Omar chooses two blue
marbles? Express your answer as a fraction in lowest terms.
Answer:
Theres no bag we cant solve it without you showing a picture or describing it
Step-by-step explanation:
Help I’m stuck on this question! Please help.
Answer: 20
Step-by-step explanation:
A and B have 57+79-42=94 distinct elements in total.
This means that 114-94=20 elements are in neither A nor B.
Hello, I need help understanding the following question.
Answer:
option b, y = 3/4x - 11
Step-by-step explanation:
Parallel lines have the same slope,
slope = rise / run where the rise is 3 and the run is 4
slope = 3/4
The line is in a upwards trend making the slope positive making choice c and d incorrect
The line passes through (8, -5)
y = 3/4x + b, (x, y)
-5 = 3/4(8) + b
-5 = 6 + b
-5 - 6 = 6 - 6 + b
-5 - 6 = b
-11 = b
y = 3/4x - 11
Given the function f(x) = -0.5|2x + 2 + 1, for what
values of x is f(x) = 6?
x = 6, x = -5
x = 5, x = -5
x= 7, x=-6
Ono solution
DONE
Answer:
Step-by-step explanation:
56565656565656565656565
If an investor invests $24,000 into two bonds, one that pays 4% in simple interest, and the other paying 2% simple
interest, and the investor earns $700 annual interest, how much was invested in each account?
Round your answers to the nearest dollar.
2% bond: $
4% bond: $
Answers:
2% bond: $11000
4% bond: $13000
========================================================
Explanation:
x = amount invested in the 4% bond
y = amount invested in the 2% bond
Amounts are in dollars
The two amounts add to $24,000 so
x+y = 24000
y = -x+24000 is one equation to set up
0.04x = interest earned from the 4% bond
0.02y = interest earned from the 2% bond
0.04x+0.02y = total interest earned = $700
0.04x+0.02y = 700 is another equation to set up
------------
The system of equations is
[tex]\begin{cases}y = -x+24000\\0.04x+0.02y = 700\end{cases}[/tex]
Apply substitution. Solve for x.
0.04x+0.02y = 700
0.04x+0.02(-x+24000) = 700
0.04x-0.02x+480 = 700
0.02x= 700-480
0.02x= 220
x= 220/(0.02)
x = 11000
Use this to find y
y = -x+24000
y = -11000+24000
y = 13000
The base of a triangle is 5 cm greater than the
height. The area is 33 cm². Find the height and
the length of the base.
Answer:
height= 13.2 cm
Step-by-step explanation:
h = 2 × A/b
h = 2 × 33 /5
= 13.2
Dominic had a coupon for 15 off his purchase at Save4You. At DiscountsRUs, there was a sale of 40% off on any purchase. Which store offered the better discount, and how much is the difference?
The better option will be at DiscountsRUs 40% off on any purchase.
What is the discount?The amount of money which is reduced on any product below its actual selling price is called the discount.
here we have two offers from the two stores Dominic had a coupon for 15 off his purchase at Save4You. At DiscountsRUs, there was a sale of 40% off on any purchase.
For a Dominic, the discount is fixed for any purchase that is if you purchase a $50 product or a $1000 product you will be getting only a $15 discount.
Now for the second store, the discount is given as 40% so if you purchase $50 your discount will be $20. If you purchase $1000 so 40% discount will be $400.
Therefore better option will be at DiscountsRUs 40% off on any purchase.
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Explain the order in which to simplify the following and then simplify it.
Answer:
16 x^14 / y^16
Step-by-step explanation:
Remember ' PEDMAS '
Parentheses
Exponents
Division
Multiplication
Addition
Subtraction
so do the stuff inside the parentheses to get
y^8 ^-2
4x^7
Now do the exponents ( the -2 one)
y^-16
4^-2 x^-14 then simplify
16 x^14 / y^16
I will give lots of points please help
Step-by-step explanation:
PART 1:
on the graph you can make a triangle at any point and with any angle measures.
i recommend a smaller right triangle to be easiest.
i recommend the points (0,3) A (3,0) B and (0,0) C
∆ABC angle measurements:
m∠CAB=45°
m∠ABC=45°
m∠ACB=90°
PART 2:
(4,3) D (7,0) E and (4,0) F make an identical right triangle moved 4 squares to the right
m∠FDE=45°
m∠DEF=45°
to find the missing value of the angle EFD we will use subtraction and addition
180-(45+45)
180-90
90
therefore, the m∠EFD=90°
PART 3:
both the angle measures and the shapes of the triangles are the same
PART 4:
i used a 1:1 ratio
sorry for the wait :)
