Answer:
y=-3/4x + 11/4
Step-by-step explanation:
First thing is to minus 3x from 3x and 12.
You will get 4y=-3x+12.
Divide all the sides by 4.
You will get y=-3/4+3.
Now input 1(x), and 2(y) into the slope-intercept form equation.
2=-3/4(1)+b
2=-3/4+b
+3/4 +3/4
2 3/4=b
You can simplify it into 11/4
So, the equation will be y=-3/4x + 11/4
I hope I got this right.
13TAD
DATE:
I
Question &
A container of soft drink was shared
between four work teams of employers. The
first tam took ½ of the soft drink, the
second took of what was left, &
the remaining soft drink equally between
them. If there were originally 240L of soft
drink did the third team get?
A. 20
B. 40
C. 80
P. 160
E. None of these
Explain how you can find the y-intercept of a function when given an equation of a graph.
The y-intercept of a function is the value of y when x = 0, which is represented as the value of b in the slope-intercept equation y = mx + b. b is the y-intercept.
What is the Y-intercept of a Function?If an equation of graph that represents a function is given in slope-intercept form as y = mx + b, the value of b in the function is the value of the y-intercept of the y-intercept.
The y-intercept of the function is the same as the value of y when the value of x is 0, or the point where the line of the function intercepts the y-axis on a given graph that represents the function.
For example, if we are given the equation of a graph that represents a function as, y = 3x + 4, the y-intercept of the function would be 4.
In summary, the y-intercept of the function is the value of b in the equation of the function that is expressed as y = mx + b in slope-intercept form.
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A chemical reaction produces 5.6 L of nitrous oxide gas (N2O) at STP. What is the mass of the gas produced? 0.25 g 5.6 g 11 g 44 g
i rarely ask questions so i have points to spare. i just need the right answer. make sure your answer actually deserves 35 points. i know how people are on here.
Answer: I gotcha. This is the RIGHT ANSWER!
Answer: The mass of the nitrous oxide gas produced is 0.011 kg.
Step-by-step explanation:
To calculate the mass of the gas, we use the formula:
We are given:
Specific density of the gas =
Mass of the gas = ? kg
Volume of the gas = (Conversion Factor: )
Putting values in above equation, we get:
Therefore , the mass of the nitrous oxide gas produced is 0.011 kg.
I helped you..help me and mark me BRAINLIEST
original amount: 100 new amount:140
Answer:
100 + 40
Step-by-step explanation:
to get from 100 to 140 you have to add 40 to 100
Find the perimeter of the right triangle. If necessary, round to the nearest tenth.
A right triangle with side 19 centimeters, side 20 centimeters, and blank hypotenuse.
a.
27.6 cm
b.
190 cm
c.
66.6 cm
d.
39 cm
The perimeter of the right triangle would be 66.6 cm.
What is triangle?A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -
∠x + ∠y + ∠z = 180°
The sum of two sides of a triangle is greater then the third side. Mathematically -
a + b > c
There are different types of triangles such as -
equilateral triangle , scalene triangle , isosceles triangle etc.
Given is a right triangle with side 19 centimeters and side 20 centimeters.
Using the Pythagoras theorem, we get -
h² = (19 x 19) + (20 x 20)
h² = 761
h = 27.6 cm
The perimeter will be -
P = [h] + [p] + [b]
P = 27.6 + 19 + 20
P = 66.6 centimeters
Therefore, the perimeter of the right triangle would be 66.6 cm.
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There are 2 rows of oranges on a table. Each row has 4 oranges. How many oranges are there in all?
Answer:
8
Step-by-step explanation:
2 rows with 4 oranges each -> 2*4 = 8
An experiment consists of rolling a fair die (sides numbered 1, 2, 3, 4, 5, 6) and then tossing a coin (with faces Heads and Tails).
Let A be the event that the number rolled is a 3 or a 4.
Let B be the event that a heads is flipped.
Are events A and B independent? Why or why not?
The events A and B are independent events
How to determine the type of the event?The sections on the dice are given as
S = {1, 2, 3, 4, 5, 6}
These sections mean that:
n(3) = 1 and n(4) = 1
Recall that:
A be the event that the number rolled is a 3 or a 4.
So, we have
P(A) = P(3) + P(4)
This gives
P(A) = 1/6 + 1/6 = 1/3
Also, we have
Coin = {Head, Tail}
Where
B be the event that a head is flipped.
This means that
P(B) = 1/2
The occurrence of an event in event A does not hinder the occurrence of another occurrence in event B
This means that the events are independent event
i.e. they do not depend on each other
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Three-fourths of what number is 12?
Answer:
16
Step-by-step explanation:
Let the number be x.
[tex]\frac{3}{4}x = 12[/tex]
∴ x = 12 ÷ [tex]\frac{3}{4}[/tex]
= 16
Find the sum:
(-2z to the power of 2 +4)+(8z to the power of 3 +6z to the power of 2 -12)
The sum of the given expression is (8z³ + 4z² - 8).
Given, an expression
(-2z² + 4) + (8z³ + 6z² - 12)
Now, we have to find the sum of the given expression,
On simplifying, we get
= (-2z² + 4)+(8z³ + 6z² - 12)
= -2z² + 4 + 8z³ + 6z² - 12
= 8z³ - 2z² + 6z² - 12 + 4
= 8z³ + 4z² - 8
So, (8z³ + 4z² - 8) is the sum of the given expression.
Hence, the sum of the given expression is (8z³ + 4z² - 8).
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Identity the property of equality that was used for each step
Addition property
Subtraction property
Multiplication property
Division property
Transitive property
Symmetric property
Substitution property
Reflexive property
Distributive property
The following properties of equality are used to solve the given equation:
division property, multiplication property, addition property, Subtraction Property, distributive property
What is an equation?
An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.
Equation:
2((2/5) x+8)=4(14-(1/5)x)
1. The division property of equality states that if both sides of an equation are divided by a common real number that is not equal to 0, the quotients remain equal .
2((2/5) x+8)/2=4(14-(1/5)x)/2
(2/5) x+8=2(14-(1/5)x)
2. multiplying a quantity by the sum of two or more terms is the same as adding together the products of the original quantity and each term
(2/5) x+8=28-(2/5) x
3. when the same quantity is added to both sides of an equation, it produces an equivalent equation
(2/5) x +(2/5) x+8=(2/5) x+28-(2/5) x = 28
4. The Subtraction Property of Equality states that an equal value subtracted or removed from two equal items will result in a new equal amount
(4x)/5+8-8=28-8=20
5. The multiplication property of equality states that when we multiply both sides of an equation by the same number, the two sides remain equal.
*5(4x)/5= 20*5
4x=100
6. The division property of equality states that if both sides of an equation are divided by a common real number that is not equal to 0, the quotients remain equal .
4x/4=100/4
x=25
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URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100 POINTS!!!!!
Answer:
1. Corresponding angles
2. Alternate Interior angles
Standard form of line that passes through (6.-1) and it parallel to the line represented by 8x + 3Y= 15
The standard form equation for a line passing through the point (6, -1) and parallel to the line denoted by 8x + 3y = 15 is 8x + 3y = 45.
The standard form equation
ax + by = c
Here a, b, and c are constants and therefore use the slope-intercept form.
y = mx + c .... (1)
where m is the slope, b = y-intercept
8x + 3y = 15
3y = -8x + 15
y = -8 / 3 x + 5
Slope (m) = - 8 / 3
It passes through a line that has points (6, -1)
Let's find b by putting the value of m = - 8/3, x = 6, and y = -1 in equation (1).
-1 = - 8 / 3 (6) + c
-1 = -48 / 3 + c
-1 = -16 + c
c = -1 + 16
c = 15
Therefore,
y = - 8 / 3 x + 15
8 / 3 x + y = 15
=> 8x + 3y = 45
8x + 3y = 45 is the standard form of the line that passes through (6,-1) and is parallel to the line represented by 8x + 3y= 15.
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3/5 x 3/5 x 3/5 i need help what is it
[tex]\cfrac{3}{5}\times\cfrac{3}{5}\times\cfrac{3}{5}\implies \cfrac{3\times 3\times 3}{5\times 5\times 5}\implies \cfrac{27}{125}[/tex]
Answer:27/125
Step-by-step explanation:
Multiply the tops 3x3x3=27
Multiply the bottoms 5x5x5=125
Brody went on vacation and purchased postcards and stamps to send letters home while he was away. Two postcards and four stamps cost $3. A postcard cost 4 times as much as a stamp. Set up a system of equations that could be used to find the cost of postcards and stamps.
The system of equations that could be used to find the cost of postcards and stamps include:
p = 4s
2p + 4s =3
What is an equation?An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.
Let postcard = p
Let stamps = s
Two postcards and four stamps cost $3. This will be illustrated as:
2p + 4s = 3
A postcard cost 4 times as much as a stamp. This will be:
p = 4s
The equations can be used to find the costs.
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Write the equation for this sequence where
a₁ = 8 and the common difference is 6
Answer:
[tex]a_{n}[/tex] = 8 + (n-1)6
Step-by-step explanation:
Mr. Baker leaves the check-in counter at the airport and walks to a moving sidewalk, which takes him to his gate. Mr. Baker's distance (d), in meters, from the check-in counter while he has been standing on the moving sidewalk for s seconds, is described by the function d = 2s + 20.
Which statement is true?
A. Mr. Baker is 2 meters from the check-in counter after 22 seconds.
B. Mr. Baker is 20 meters from the check-in counter 24 seconds.
C. Mr. Baker moves 2 meters per second while standing on the moving sidewalk, and he walked 20 meters to get to the moving sidewalk.
D. Mr. Baker moves 20 meters per second while standing on the moving sidewalk, and he walked 2 meters to get to the moving sidewalk.
Mr. Baker moves 2 meters per second while standing on the moving sidewalk, and he walked 20 meters to get to the moving sidewalk. which is the correct answer would be an option (C).
What is the distance?Distance is defined as the product of speed and time.
The function shows Mr. Baker's distance (d), in meters, from the check-in counter while he has been standing on the moving sidewalk for s seconds. d = 2s + 20.
Here He travels at a speed of two meters per second while standing on the moving sidewalk, and he walked 20 meters to get there.
Thus, Mr. Baker moves 2 meters per second while standing on the moving sidewalk, and he walked 20 meters to get to the moving sidewalk.
Hence, the correct answer would be option (C).
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Find (-3/4+5/9) + 7/4
Answer:
[tex]\frac{14}{9}[/tex]
Step-by-step explanation:
Take a look at the attachment...
Hope this helps! :)
PLEASE HELP! AND PLEASE ANSWER WITH WORK!
1) x+9=12
2) s-1=10
3) 3=z-11
4) 5+y=7
5) 8=2+q
6) 6=n-4
7)r-2=5
8)6=m+6
9)p+7=8
10)4+a=13
Answer:
1) x = 3,
2) s = 11,
3) z = 14,
4) y = 2,
5) q = 6,
6) n = 10,
7) r = 7,
8) m = 0,
9) p = 1,
10) a = 9.
Step-by-step explanation:
1) Subtract 9 from both sides to isolate x, the result is 3.
2) Add one to both sides to isolate s, the result is 11.
3) Add 11 to both sides to isolate z, the result is 14.
4) Subtract 5 from both sides to isolate y, the result is 2.
5) Subtract 2 from both sides to isolate q, the result is 6.
6) Add 4 to both sides to isolate n, the result is 10.
7) Add 2 to both sides to isolate r, the result is 7.
8) Subtract 6 from both sides to isolate m, the result is 0.
9) Subtract 7 from both sides to isolate p, the result is 1.
10) Subtract 4 from both sides to isolate a, the result is 9.
Answer:
..............................
In Morse code, symbols are represented by variable-length sequences of dots and dashes. (For example, A =:-, 1=-----/?="--) How many different symbols can be represented by sequences of eight or fewer dots and dashes? Use the method of Example 9.5.10 to answer the following questions. (a) How many 18-bit strings contain exactly eight 1's? The number of 18-bit strings that contain exactly eight 1's equals the number of ways to choose the positions for the l's in the string, namely, (b) How many 18-bit strings contain at least fifteen l's? (c) How many 18-bit strings contain at least one 17 (d) How many 18-bit strings contain at most one 1?
Answer:
Applying the product rule of exponents, (a²c)³ = .
What is the Product Rule of Exponents?
When multiplying two numbers with the same base, their powers/exponents would be added.
For example, .
Given:
(a²c)³
Therefore:
(a²c)³ = (a²c)(a²c)(a²c)
(a²c)³ =
(a²c)³ =
Therefore, applying the product rule of exponents, (a²c)³ = .
Step-by-step explanation:
Can someone help me?
On a Sunday in April, dog bite victims arrive at Carver Memorial Hospital at a historic rate of 0.6 victims per day. On a Sunday in April, what is the probability that exactly two dog bite victims will arrive?
The probability that exactly two dog bite victims will arrive is 0.099.
What is probability?Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.
Based on the information, the probability that exactly two dog bite victims will arrive will be:
P(x = 2) = e^(-06) (0.6)2 / 2!
= (0.549) × (0.36) / 2
= 0.099
The probability is 0.099.
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HELP PLEASE QUICK!!!
Answer:
A, B
Step-by-step explanation:
East and west are opposite directions along the same line. If one is positive, the other one is negative.
Up and down are also opposite directions on the same line.
Answer: A, B
Please help as soon as possible! Thank you so much!
Which of these equations are true? Select TWO correct answers. Answer A −8×3=24 B −4+3=1 C 15−(−2)=−13 D −5 ×7=−35 E −10 + −10 = −20
Answer:
option D and E
Step-by-step explanation:
-5 × 7 = -35-10 + -10 = -20Simplify the given expression.
cos75°cos15° + sin75°sin15°
The Solution to the trigonometry expression is 1/2
Trigonometry expression
A trigonometric expression is one that contains a trigonometric function with a variable. It can also be in terms of the sine and cosine functions.
cos75°cos15° + sin75°sin15°
Using the relation Cos (θ) = Sin( 90° - θ)
Sin (θ) = cos (90° - θ)
Sin ( 2θ) = 2 sin θ cos θ
So:
cos75° cos15° + sin75° sin15° = Sin 15° cos 15° + Sin 15° cos 15°
Sin 15° = 1/2
Therefore, the expression cos75°cos15° + sin75°sin15° = 1/2.
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Find the open intervals where the function graphed below is a) increasing, or b) decreasing. a) List any open interval(s) on which the function is increasing. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A.
(Type your answer in interval notation.
Use a comma to separate answers as needed.)
B. The function is never increasing.
The function decreasing in the interval will be (-∞, 0) and the function increasing in the interval will be (0, ∞). The function is never increasing is false.
What is the parabola?It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.
Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.
Then the equation of the parabola will be given as,
y = a(x - h)² + k
The function decreasing in the interval will be (-∞, 0) and the function increasing in the interval will be (0, ∞).
The function is never increasing is false.
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A line has a slope of
-(6/5)
(a) What is the slope of the line parallel to it?
(b) What is the slope of the line perpendicular to it?
a) What is the slope of the line parallel to it?
Parallel lines will never intersect, meaning they have equivalent slopes, so the answer to this part is -(6/5).
b) What is the slope of the line perpendicular to it?
Perpendicular lines will intersect, creating a 90-degree angle, meaning all values in the graphs have been flipped. Thus, the slope of any perpendicular line is the negative reciprocal of the given slope (-1/x). The negative reciprocal of -(6/5) is 5/6, so that is the answer.
Order from least to greatest 26/5,5.277,5.28,5 1/6
Step-by-step explanation:
1/6, 5,26/5,5.277,5.28
How to solve this problem?
To prove both triangle similar ratio of their sides must be equal
AC/GI = BC/HI
Therefore last option is correct .
What is difference between congruency and similarity ?The difference between congruence and similarity can be examined mathematically. These two words are defined by shape, proportion, and angle.
Congruent shapes have the same dimensions and overlap when stacked. Two congruent objects have the same size and shape, but different orientations and placements in space. This doesn't change the fact that they are the same as they have the same physical properties, angles and dimensions.
Similarity means similar but not identical. A shape can be mathematically equivalent in its base form as follows: B. Circles, but different sizes.
Calculationto prove both triangle similar ratio of their sides must be equal
AC/GI = BC/HI
Therefore last option is correct .
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Find the x-intercept and y-intercept of the line???
The x-intercept of the line is x = -2,and the y-intercept of the line is y = -6.
Determining the x-intercept and the y-intercept of a lineFrom the question, we are to determine the x-intercept and y-intercept of the line.
The x-intercept of a line is the point where y = 0
and
The y-intercept of a line is the point where x = 0
The equation for the line is
6x + 2y = -12
To determine the x-intercept, substitute y = 0 in the equation
6x + 2y = -12
6x + 2(0) = -12
6x + 0 = -12
6x = -12
Divide both sides by 6
6x/6 = -12/6
x = -2
Hence, the x-intercept is x = -2
To determine the y-intercept, substitute x = 0 in the equation
6x + 2y = -12
6(0) + 2y = -12
0 + 2y = -12
2y = -12
Divide both sides by 2
2y/2 = -12/2
y = -6
Hence, the y-intercept is y = -6
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The diagram shows a parallelogram. 4 cm 7 cm 100° Work out the area of the parallelogram. Give your answer to 2 significant figures.
The Area of the parallelogram is 27.57 cm² .
If the length of the parallelogram with sides a and b , and the angle between the sides a and b is θ , then
Area of Parallelogram = a × b × Sin(θ)
In the question ,
it is given that
the length of the parallelogram is 4cm and 7 cm , and the angle between is 100° .
By substituting the values in the formula for Area of parallelogram
we get ,
Area = 4 × 7 × Sin(100°)
= 4 × 7 × 0.9848 ....because Sin(100°) = 0.9848
= 27.57 cm²
Therefore , The Area of the parallelogram is 27.57 cm² .
The given question is incomplete , the complete question is
If the length of the sides of parallelogram is 4 cm and 7 cm and the angle between them is 100° , Work out the Area of the parallelogram ? Give your answer to 2 significant figures.
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