Answer: (0,-6), (1,-4)
Step-by-step explanation:
Subtract 4x from both sides of the equation.
−
-2y=12−4x
Divide each term in -2y=12-4x by-2 and simplify
-
y=-6+2x
Rewrite in slope-int form.
y=2x-6
Next, you want to use the slope-int form to find the slope and y-int so you get (0,-6) and (1,-4)
The table shows the results of an experiment in which three coins were tossed.
What is the experimental probability that all three of the coins will be heads? The theoretical probability?
The experimental probability that all three of the coins will be head is 1 / 10.
The theoretical probability that all three of the coins will be head is 1/8.
What are the probabilities?Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The more likely the event is to happen, the closer the probability value would be to 1. The less likely it is for the event not to happen, the closer the probability value would be to zero.
Experimental probability is based on the result of an experiment that has been carried out multiples times.
Experimental probability = number of times all heads is gotten / total number of tosses
5/50 = 1/10
Theoretical probability = number of times all heads can be gotten / total number of possible outcomes
1/8
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Solve equation.
a-7=9
To solve the equation, add 7 to both sides. The solution is a = 16.
A linear equation is an equation of which the highest degree of its variables is 1.
Steps to solve linear equations:
Simplify the expressions. If there are parentheses, remove them by multiplying the corresponding terms.Combine the same terms.Isolate the variable on one side by using subtraction or addition.Use division or multiplication to find the value of the variable.Recall that if we subtract or add the same number to both sides of an equation, it does not change the equality.
The given problem:
Solve a-7=9
The variable is a. To isolate a, remove -7 by adding 7 to both sides:
a-7 +7 = 9 +7
a = 16 (solved)
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write a phrase as an expression of 22 and a number a
Write the phrase as an expression the quotient of 22 and a number [tex]a[/tex].The quotient of 22 and [tex]a[/tex] number = 22/[tex]a[/tex]
Given that
number = 22
quotient = [tex]a[/tex]
To find
The mathematical equation or relation between quotient of 22 and a number [tex]a[/tex].
So according the question
We have
quotient = 22
divisor = [tex]a[/tex]
For finding the relation between given quotient and divisor, let's firstly know about Dividend, Divisor, Quotient and Remainder,
In Mathematics, the dividend is the value that is divided by another value to get the result. The dividend is the base of any division method.
An integer that divides another integer to obtain a result is called a divisor. The result of this division, or quotient, is the dividend, which is the original number that was divided.
Quotient = Dividend ÷ Divisor
When we divide one number by another, the result is a quotient. As an illustration, when we divide 6 by 3, we obtain the answer 2, which is the quotient. A decimal or an integer can both be used as the quotient. When dividing exactly, as when 10 ÷5 = 2, the quotient is an integer, whereas when dividing roughly, as when 12÷ 5 = 2.4, the quotient is a decimal. Although a quotient can be greater than the divisor, it will never be greater than the dividend.
The value remaining after division is known as the Remainder. After division, we are left with a value if a number (dividend) cannot be divided entirely by another number (divisor). This value is called the remainder.
Now, from question
We have a quotient of 22 that is [tex]a[/tex].
So, 22 fully divided by [tex]a[/tex].
In mathematical form,
= 22/[tex]a[/tex]
The quotient of 22 and [tex]a[/tex] number = 22/[tex]a[/tex]
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The length of a rectangle is thirteen less than two and a half
times its width. The perimeter of the rectangle is 100 feet.
The area of the rectangle is 576.
An area is the total amount of space enclosed by a shape or figures. In this case, the rectangle would be the shape or figure that is being defined and its area would be the total amount of space enclosed by it.
The length of the rectangle is 13 less than 2 and a half times its width means : L=2 [tex]\frac{1}{2}[/tex] w-13
Using the perimeter formula of the rectangle P= 2(L-W) we have
P=100
So
100=2(2( [tex]\frac{1}{2}[/tex])w-13+w)
Solve for W:
100= 2×[tex]\frac{5}{2}[/tex]w-26+2w
100=10/2w-26+2w
100=5w-26+2w
100=7w-26
100+26=7w
126=7w
126/7=w
W=18
We can find the length L=2 [tex]\frac{1}{2}[/tex]w-13 = [tex]\frac{5}{2}[/tex](18) -13
=45-13
L= 32
Area of the rectangle is A= L×W= 32×18=576
Hence, the area of rectangle is 576.
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Take the square root of both sides to get the solution
The equation is: (x - 8)^2 = -8
Here is a picture of what I mean.
(I need an answer fast.)
The solution to the given equation is 8±2√2 i
Solving rational equationsAn algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations
Given the equation below
(x - 8)^2 = -8
Take the square root of both sides to have:
√(x-8)^2 = √-8
x-8 = ±√-8
x-8=±2√2 i
x = 8±2√2 i
Hence the solution to the given equation is 8±2√2 i
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An automobile uses 17 gal of fuel to go 590 mi. how many gallons are required to travel 840 mi? (round your answer to one decimal place.)
Answer:
the car would use 49 gallons because you get a decimal of 49.49 so you would put got decimal to the nearest 1's place and that would be 49
Find the product (2x + 9) (9x + 11)
Answer:
Step-by-step explanation:
18x^2 + 22x + 81x + 99
18x^2 + 103x + 99
The 4 inch radius pizza for $3 or the 8 inch radius pizza for $14 what is the better buy
By unitary method we can say that it is better to buy the 4 inch radius pizza for $3.
According to the given question.
The price of 4 inch radius pizza = $3
And, the price of 8 inch radius pizza = $14
As we know that, the unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Therefore, by unitary method.
Cost of 1inch radius pizza, when the price of 4 inch radius pizza is $3
= 3/4
= $0.75
And the cost of 1 inch radius pizza, when the price of 8 inch radius pizza is $ 14
= 14/8
= $ 1.75
Hence, by unitary method we can say that it is better to buy the 4 inch radius pizza for $3.
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What is the volume, in cubic centimeters, of the cylinder? Round your
answer to the nearest hundredth
12.3 cm
4.5 cm
1
1
cm³
Answer:12.3cm 4.5cm=
≈782.49
Step-by-step explanation:
V=πr2h=π·4.52·12.3≈782.49219
Find the coordinates of the midpoint of a segment with the given endpoints.
J(-11.2,-3.4), K(-5.6,-7.8)
The coordinates of the midpoint of a segment with the given endpoints (-8.4, -5.6)
How to find the coordinates of the midpoint of a segment with the given endpoints?The endpoints are given as
J(-11.2,-3.4), K(-5.6,-7.8)
The coordinates of the midpoint is calculated as
Midpoint = 0.5(x1 + x2, y1 + y2)
So, we have
Midpoint = 0.5(-11.2 - 5.6, -3.4 - 7.8)
This gives
Midpoint = (-8.4, -5.6)
Hence, the coordinates of the midpoint of a segment with the given endpoints (-8.4, -5.6)
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A student performs several experiments in which he swings a pendulum for 20-second duration. He uses a string that is 27 cm long, and he tests pendulum masses of different sizes, varying from 2 to 12 grams. He records the number of swings each pendulum makes in 20 seconds. What is the independent quantity and the dependent quantity.Be sure to include the appropriate units of measure
Using it's concepts, we have that:
The independent variable is the pendulum mass.The dependent variable is the number of swings.What is the relation between a function and the dependent and independent variables?A function has the following format: y = f(x).
In which each value of y is a function of one value of x, and thus, x is the independent variable and y is the dependent variable.
That is, the input of the function is the independent variable and the output is the dependent variable.
For this problem, we have that the number of swings is dependent on the mass of the pendulum, hence:
Number of Swings = f(mass).
Thus:
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The decimal representation of ___________ number neither terminates nor repeats.
The numbers that neither terminate nor repeat are called irrational numbers.
What are irrational numbers?
Any real number that is not rational is called an irrational number. These numbers can not be expressed in the form of p/q, where q is not equal to 0. Sometimes, irrational numbers are also called non-terminating and non-repeating numbers.
Filling the blank with an appropriate term
The decimal representation of ___Irrational__ number neither terminates nor repeats.
Hence, the answer is irrational.
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number 4 please!! thank you
Answer: correct
Step-by-step explanation:
100,000 subtract from 63,482.50 equals
63,482.50-100,000=63,382.50
An experiment was performed to find the average speed of a grasshopper. The average speed has been plotted on the number line as marked by the arrow,
Hi
10 feet/sec
11 feet/sec
What is the speed of the grasshopper in feet per second?
B
33
C
Answer:
10.375ft/s
Step-by-step explanation:
We need to read the number from the plot. The range from 10 to 11 is divided into 8 segments, so each segment is (11-10)/8=0.125
The answer is at 10 + 3 segments, so 10 + 3*0.125 = 10.375
R
The following transformations are to be performed, in order, on the parallelogram.
• Translate 2 units in a positive y-direction.
. Translate 6 units in a positive x-direction.
• Reflect about the x-axis.
Which of the following describes the location of vertex Q after the transformations?
OA (2,-4)
B. (-2,-8)
C. (2,-8)
OD. (-2,4)
Find the product of 3.2 x 1012 and 4.25 x 109. Write the final answer in scientific notation.
The product of the numbers written as a scientific notation is 1.36 × 10²²
Product of numbersFrom the question, we are to determine the product of the given numbers
The given numbers are
3.2 x 10¹² and 4.25 x 10⁹
The product of the numbers can be determined as shown below
3.2 × 10¹² × 4.25 × 10⁹
= 3.2 × 4.25 × 10¹² × 10⁹
= 13.6 × 10¹² ⁺ ⁹
= 13.6 × 10²¹
= 1.36 × 10¹ × 10²¹
= 1.36 × 10¹ ⁺ ²¹
= 1.36 × 10²²
Hence, the product of the numbers written as a scientific notation is 1.36 × 10²²
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An airplain flys and altitide of 30,000 feet to avoid the storm .
A. what integer represents the airplains change to avoid the storm ?
B.what integer represents the airplane s the change in altitude immedeitly after the passing the storm
A. The integer that represents the change of altitude to avoid the storm is 8,000
B. The integer representing the altitude after passing the storm is 30,000
How to illustrate the information?A. We are given that the initial altitude of the plane was 30,000 ft. The plane flew at at altitude of 38,000 feet
Change of altitude = final altitude - initial altitude
Change of altitude = 38,000 - 30,000 = 8,000 ft
Therefore, the integer representing the change of altitude to avoid the storm is 8,000
B. After the storm:
We know that, after the storm, the plane returned to its initial altitude. Given that the initial altitude is 30,000 ft, this would mean that the integer representing the altitude after passing the storm is 30,000
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what is the measure of the smaller angle between the hands of a $12$-hour clock at $12:25$ pm, in degrees?
The smaller angle made by the hour hands of a clock at a given time is 137°30'. It is attained by using the concept of clocks on the problems.
What is a clock?
A clock is a device which is used for measuring and indicating the time. It has three hands, namely an hour hand, a minute hand and a second hand. A clock can be classified in two ways, one is a 12-hour clock and the other is a 24-hour clock.
Calculation of the smaller angle made by the hour hand
For minute hand,
60 min makes an angle 360°
1 min = 6°
25 min = 6° × 25
= 150°
For hour hand,
12 hours makes an angle 360°
1 hour = 30°
1 min = 30° / 60
= 1/2°
25 min = 1/2° × 25
= 12°30'
The smaller angle made by hour hand is given by 150° - 12°30'
=137°30'
Hence, the smaller angle between the hour hands is 137°30'.
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5. Susan is selling raffle tickets for $4. She collects a total of
$284. How mary tickets did she sell?
Bro each ticket is 4$. You just divide the money she earned with how much a ticket costs;
284/4 = 71 tickets
Convert 50 grains to milligrams (to the nearest tenth).
mg
Answer:
3240milligramsStep-by-step explanation:
multiply the value in grains by the conversion factor '64.798'.
So, 50 grains = 50 × 64.798 = 3239.900 milligrams.
round 3240
Find the coordinates of the midpoint of a segment with the given endpoints. Then find the distance between the following pair of points. (Lesson 1-3)
P(26,12) and Q(8,42)
The coordinates of the midpoint is M(x, y) = (17, 27) and its length is 6√34 units.
How to find the coordinates of the midpoint of a line segment
In this problem we have the coordinates of two endpoints of a line segment, of which we must find the location of its midpoint by using the midpoint formula, whose vector form shall be used. Later, we determine the length of the line segment by calculating the vector behind the line segment and its magnitude.
If we know that P(x, y) = (26, 12) and Q(x, y) = (8, 42), then the location of its midpoint and its length are, respectively:
Midpoint
M(x, y) = 0.5 · P(x, y) + 0.5 · Q(x, y)
M(x, y) = 0.5 · (26, 12) + 0.5 · (8, 42)
M(x, y) = (13, 6) + (4, 21)
M(x, y) = (17, 27)
Length
PQ = (8, 42) - (26, 12)
PQ = (- 18, 30)
PQ = √[(- 18)² + 30²]
PQ = 6√34
The coordinates of the midpoint is M(x, y) = (17, 27) and its length is 6√34 units.
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Solve for the value of p.
(6p+3) (9p-3)°
Answer:
p = 12
Step-by-step explanation:
Angles in a straight line sum to 180 degrees. Given the two algebraic angles, this can be expressed as follows:
(6p + 3) + (9p - 3) = 180
Take out the brackets:
6p + 3 + 9p - 3 = 180
Combine the like terms:
15p = 180
Divide both sides by 15:
p = 180/15
Simplify:
p = 12
If you want to verify the answer is correct, substitute it back into the original equation:
(6(12) + 3) + (9(12) - 3) = 180
can expression be multiplied by a variable
Answer:
yes.
Step-by-step explanation:
if the variable has a number in the problem, yes.
if the variable has no known value, you can't solve it, but you can solve everything else. so yes.
Solve the following equation.
-2(n+7)=15
please help me it is due today
Answer: 6
Step-by-step explanation:
what is the approximent distance between the points (1, -2) and (-9, 3) on a coordinate grid
Using the distance formula, the approximate distance between the points (1, -2) and (-9, 3) is: 11 units.
How to Find the Distance of Two Points?To find the distance of two points on a coordinate grid, the distance formula that is employed is: d = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex].
Given the points are on a coordinate grid:
(1, -2) = (x1, y1)
(-9, 3) = (x2, y2)
Plug in the values into the distance formula:
d = √[(−9−1)² + (3−(−2))²]
d = √[(−10)² + (5)²]
d = √(100 + 25)
d = √125
d = 11.18034
d ≈ 11 units.
Therefore, using the distance formula, the approximate distance between the points (1, -2) and (-9, 3) is: 11 units.
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Answer quick please :)
Select the correct answer.
The first term of a geometric series is -3, the common ratio is 6, and the sum of the series is -4, 665. Using a table of values, how many terms
are in this geometric series?
OA 6
OB. 5
OC. 10
OD. 4
This geometric progression has 5 terms
This is a geometric progression or geometric series whose sum of n terms is given by the formula
Sn = a[([tex]r^{n\[/tex] – 1)/(r – 1)]
Where Sn is sum of n terms of geometric progression, a is the first term of the series , r is the common ratio
Here we are required to find the number of terms in the geometric progression whose first term is -3 and common ratio is 6
-4665 = -3 [( [tex]6^{n}[/tex]-1)/(6-1)
1555=( [tex]6^{n}[/tex]-1)/5
7775= [tex]6^{n}[/tex]- 1
7776 = [tex]6^{n}[/tex]
[tex]6^{5}[/tex] = [tex]6^{n}[/tex]
So, n=5
Therefore this geometric progression has 5 terms
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Directions: Find the next five terms, then write a conjecture.
7. ⬆️,➡️,⬇️
Conjecture:
The next five terms are ← ↑ → ↓ ← and the conjecture is each arrow is rotated 90 degrees clockwise to get the next
How to find the next five terms, then write a conjecture?The first three terms are given as
↑ → ↓
From the above pattern, we have the following highlights:
Each arrow is rotated 90 degrees clockwise to get the next
Using the above as a guide, we have the next five terms to be:
← ↑ → ↓ ←
Also, we have the conjecture to be:
Each arrow is rotated 90 degrees clockwise to get the next
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What is the value of the expression when a = 6, b = 4, and c = 8?
2a3b−c
A.1
B.3
C.8
D.12
Answer: 27
Step-by-step explanation: