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Related Questions
One less than twice a number is greater than 7 and less than 13. Write a compound inequality to represent this and solve to find the solution set.
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4<x<7
This is the answer hopefully.
An angle is a right angle if and only if the measure of the angle is 90°. True or false?
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jeffs dog weighs 76 pounds. what is the doofs weight rounded to the nearest tens pounds?
Answers
Simplify 3^5/3^2.
I do have a basic understanding but I need help on this.
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3⁵ / 3² = 3⁽⁵⁻²⁾ = 3³ = 3 * 3 * 3 = 9 * 3 = 27 .
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-Edit -- Note the following property of exponents : "quotient rule" of exponents:
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Given that "a" and "b" are positive integers; and that "x" is a real number greater than "zero";
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If a ≥ b , then:
xᵃ /xᵇ = x⁽ᵃ ⁻ ᵇ⁾ ;
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If a < b , then:
xᵃ /xᵇ = x⁽ᵇ ⁻ ᵃ⁾
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If you are dealt 4 cards from a shuffled deck of 52 cards, find the probability that all 4 cards are diamonds
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Prove the diagonals of the square with vertices P (0,4), Q (4,4), R (0,0) and S (4,0) are perpendicular bisectors of each other.
Step 1: calculate the slope of the diagonals.
The slope of diagonal PS is ____
The slope of diagonal QR is ____
Step 2: calculate the midpoint of the diagonals
The midpoint of PS is ___
Midpoint of QR is ___
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The diagonals are perpendicular because the product of their slope is -1, and their midpoint is same (2,2). Hence, it is proved that the diagonals of the given square are perpendicular bisectors of each other.
Given information:
The square with vertices P (0,4), Q (4,4), R (0,0) and S (4,0).
It is required to prove that the diagonals of the given square are perpendicular bisectors.
First, calculate the slope of the diagonals.
The slope of diagonal PS will be,
[tex]m = \dfrac{0-4}{4-0}\\m = -1[/tex]
So, the slope of diagonal PS is -1.
The slope of diagonal QR will be,
[tex]m' = \dfrac{0-4}{0-4}\\m' = 1[/tex]
So, the slope of diagonal QR is 1.
From the slope of the diagonals, the diagonals are perpendicular because the product of slope is -1.
Now, it is required to find the mid-point of the diagonals.
The midpoint of PS will be,
[tex](x,y)=(\dfrac{0+4}{2},\dfrac{4+0}{2})=(2,2)[/tex]
Midpoint of QR will be,
[tex](x,y)=(\dfrac{4+0}{2},\dfrac{4+0}{2})=(2,2)[/tex]
So, the midpoint of both the diagonals is also same.
Therefore, it can be said that the diagonals are perpendicular because the product of their slope is -1, and their midpoint is same (2,2). Hence, it is proved that the diagonals of the given square are perpendicular bisectors of each other.
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Answer:
-1, 1, (2,2), (2,2), and perpendicular and share the same midpoint
Step-by-step explanation:
what's the equation of the line parallel to the equation 2x+6y=-4 and that passes through the point (3, -3) .
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y+3=(-1/3)x+1
y=(-1/3)x-2
2. Dan poured 5 cups of water into a rectangular container measuring 8 inches by 6 inches by 7 centimeters.
[1 cup = 14.44 cubic inches; 1 inch = 2.54 cm]
Part A: What is the maximum volume of water that the rectangular container can hold? Show your work. (3 points)
Part B: How many cubic inches of water was poured into the container? (3 points)
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When maggie applies the brakes of her car, the car slows uniformly from 15.0 m/s to 0 m/s in 2.50 s. how many meters before a stop sign must she apply her brakes in order to stop at the sign?
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Distance traveled= (initial speed+final speed)/2 x time
Distance traveled= (0m/s + 15m/s)/2 x 2.5 second= 7.5m/s x 2.5s= 18.75m
A sum of money is divided in ratio 3:5:9 . Calculate the smallest share given that the largest share is $558
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3 + 5 + 9 = 17 so Multiplier = 1/17
$558 is the largest share and that equals 9 * 1/17 of x where x is the total amount of money
9x / 17 = 558
x = (558 * 17) / 9 = $1054
So the smallest share = 3 /17 * 1054 = $186 Answer
The mesaure of an angles supplement is 28 more than 3 times the measure of the angle. find the measure o the angle and its suplment
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angle 2 = 142°
What is the quotient of (7^-1/7^-2)?
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hope it helps
Answer:
7^1 = 7
Step-by-step explanation:
we need to find quotient of [tex]\frac{7^-1}{7^-2}[/tex]
The exponents are in division
When the base of exponents are same and exponents are in division then we subtract the exponents
We apply the property [tex]\frac{a^m}{a^n} = a^{m-n}[/tex]
[tex]\frac{7^-1}{7^-2}=7^{-1-(-2)}=7^{-1+2}=7^1=7[/tex]
If five times the square of a certain positive number is decreased by twice the number, the result is 16. Find the number.
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translate into an equation:
1) The difference between a number and fifteen is seven.
2) Four more than three times a number is thirteen.
3) The sum of three consecutive odd integers is fifty-one.
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1) x-15=7
2)3x+4=13
3)x+x+2+x+4=51
Hope this helped :D. Comment below if you have any questions!
Use the distributive property to simplify the expression. 8(3x + 4)
Answers
Answer:
24x + 32
Step-by-step explanation:
Answer:
24x+32
Step-by-step explanation:
trust
What is the perimeter of a rectangular garden with a width of 24 feet and a diagonal of 40 feet?
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Virginia beach is about 20 miles wide and 28 miles long. if one inch of rain falls there during a daily rain shower, how many cubic feet of rain fell? (convert all units to feet first)
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Water volume= length x width x height
Water volume= 20 miles x 5280ft/miles x 28 miles x 5280ft/miles x 1inch x 1ft/12inch
Water volume = 1300992000 cubic ft.
Firstly we will convert everything into feet.
So Length = 28 miles = 28 * 5280 feet = 147,840 feet
Width = 20 miles = 20 * 5280 feet = 105,600 feet.
Depth = 1 inch= 1 * 1/12 feet = 1/12 feet
(because 1 inch = 1/12 feet)
So Volume = Length * Width * Depth
= 147840 * 105600 * 1/12 = 1300,992,000 cubic feet.
So we can say 1300,992,000 cubic feet rain fell.
Tucker drove at a speed of 45 miles per hour. This means that Tucker traveled _______ feet per second.
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Hope this helps :D
Answer:
the answer is 66 feet per second.
Find the quotient of 10/5
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----
5
Hope this helps
describe a way in which the diagram above illustrates the unique line postulate.
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How many times does 15000 go in to 3000000?
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To determine how many times 15000 goes into 3000000, divide 3000000 by 15000. The answer is 200.
To find out how many times 15000 goes into 3000000, we need to perform a simple division.
We divide 3000000 by 15000:
3000000 ÷ 15000 = 200
Thus, 15000 goes into 3000000- 200 times.
is this right? putting that into scientific notation
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4.6 x 10 ^8 = 460,000,000
you are correct
anyone good at trigonometry please help
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to find the vertical height
multiply the tangent of the angle by the horizontal distance
so tan(12) x 5 = 1.0628
rounded to nearest hundredth = 1.06 miles
What is the period of y = 3cot(4x - 3pi)
Answers
Answer:
.25
Step-by-step explanation:
PLATO
The answer is y=25.
What's the period formula?Every whole oscillation, known as the length, is steady. The method for the duration T of a pendulum is T = 2π square root of√L/g, where L is the period of the pendulum and g is the acceleration because of gravity.
What are period and frequency?Frequency refers to how often something occurs. period refers back to the time it takes something to take place. Frequency is a rate amount. The period is a time amount. Frequency is the cycles/second.
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In 1 1/2 h, a lawnmower uses 2 1/16 gal of fuel. How many gallons of fuel did the lawnmower use each hour?
Answers
Answer:
[tex]\frac{11}{8}[/tex] [tex]\text{gallons}[/tex]
Step-by-step explanation:
Given: In [tex]1\frac{1}{2}[/tex] hour, a lawnmower uses [tex]2\frac{1}{16}[/tex] gallon of fuel.
To Find: How many gallons of fuel did the lawnmower use each hour.
Solution:
Number of hour lawnmower used [tex]=1\frac{1}{2}[/tex] [tex]\text{hour}[/tex]
[tex]\frac{3}{2}[/tex] [tex]\text{hour}[/tex]
Fuel consumed by lawnmower [tex]=2\frac{1}{16}[/tex] [tex]\text{gallon}[/tex]
[tex]\frac{33}{16}[/tex] [tex]\text{gallon}[/tex]
Fuel used by lawnmower each hour [tex]=\frac{\text{Total fuel used}}{\text{Total time taken}}[/tex]
[tex]=\frac{\frac{33}{16}}{\frac{3}{2}}[/tex]
[tex]=\frac{11}{8}[/tex] [tex]\text{gallon}[/tex]
Hence the fuel consumed by lawnmower each hour is [tex]=\frac{11}{8}[/tex] [tex]\text{gallon}[/tex]
Determine the x- and y-intercepts of the graph of y=−12x−4 . Then plot the intercepts to graph the equation.
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y-intercept: -4
slope -12
Answer:
X-Intercept: [tex]\frac{4}{-12}[/tex]
Y-Intercept: -4
Step-by-step explanation:
Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.
The X and Y intercepts show at what points the function values cross the X and Y axis. We can solve for the X-intercept by substituting the value of y for 0 and then solving for x. Like so...
[tex]0=-12x-4[/tex] .... add 4 on both sides
[tex]4=-12x[/tex] ... divide both sides by -12
[tex]\frac{4}{-12}[/tex] = -x
Now we can see that the X-Intercept is [tex]\frac{4}{-12}[/tex] . Now we substitute 0 for x and solve for the Y-intercept.
[tex]y=-12(0)-4[/tex]
[tex]y= -4[/tex]
Finally we can see that the Y-intercept is -4
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
A stuntwoman jumps from a building 73ft high and lands on an air bag that is 9ft tall. Her height above ground h in feet can be modeled by h (t) = 73 – 16 t^2, where t is the time in seconds.
a. How many seconds will the stuntwoman fall before touching the air bag? (Hint: Find the time t when the stuntwoman’s height above ground is 9 ft.)
Answers
9 = 73 - 16 t^2
9 - 73 = 73-73 - 16t^2
-64 = -16t^2
-64 / -16 = -16t^2 / -16
4 = t^2
Now square both sides of 4 = t^2
[tex]\sqrt{4} = \sqrt{t^2}[/tex]
2 = t
t = 2
Answer = 2 seconds
Standard deduction on federal income tax return for head of the household is $8350. hilda, a single mom of two, paid $6780 in state income tax and $1230 in mortgage interest last year. how should she file her taxes?
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The answer is Claiming standard deduction
Answer:
Hilda can file her taxes by claiming standard deduction.
Step-by-step explanation:
Standard deduction is that amount of someone's income, for which tax is not to be paid, thus reducing the tax bill amount. The amount of the standard deduction is based on one's filing status, age, disability, dependency etc.
Here in this scenario, Hilda can claim standard deductions.
complete the next three terms in the pattern below
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1, 4, 9, 16, ...
if you look at what you add to get to the next number.
+3, +5, +7, ...
the pattern is adding consecutive odd numbers
16+9 = 25
25+11 = 36
36+13 = 49
1, 4, 9, 16, 25, 36, 49, ...
The greatest integer function, shown below, is defined so that it produces the greatest integer __ or equal to x. f(x) = [ [x] ]
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Less than or equal to X :)
The greatest integer function is defined so that it produces the greatest integer less than or equal to x
What is a function?A relation is a function if it has only One y-value for each x-value.
The greatest integer function, denoted by [x], produces the greatest integer less than or equal to x.
Let us consider a example to understand better
[3.8] = 3, [-2.4] = -3, [0] = 0, and [-7] = -7.
The function f(x) = [[x]] applies the greatest integer function twice to x
so f(x) produces the greatest integer less than or equal to the greatest integer less than or equal to x.
Hence, the greatest integer function is defined so that it produces the greatest integer less than or equal to x
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