Answer:
first option
Step-by-step explanation:
y = 3 is a horizontal line parallel to the x- axis and passing through all points with a y- coordinate of 3
x + y = 4 ← is the equation of a straight line
find the x and y- intercepts
to find the y- intercept let x = 0 in the equation and solve for y
0 + y = 4 , that is
y = 4 ⇒ (0, 4 ) is a point on line
to find the x- intercept let y = 0 in the equation and solve for x
x + 0 = 4 , that is
x = 4 ⇒ (4, 0 ) is a point on the line
the graph representing the system is
a horizontal line y = 3 and another line passing through (0, 4 ) and (4, 0 )
n x (5 + 3) = (6 x 5) + (6 x 3) write the missing number.
Answer:
6 is the missing number
Step-by-step explanation:
Solve what is inside of the parenthesis, then evaluate.
N x (8) = (30) + (18)
8N = 48
Solve for N.
N = 48/8
N = 6
PLEASE HELP
A fly makes a bee-line from one corner of Mrs. Tomasi's room
to the opposite corner. The room is 30x 32 feet and 9 feet tall.
What angle is the angle of elevation of the flight path if he flies
straight there?
The angle of elevation of the fly's flight path is approximately 57.74 degrees.
What is hypotenuse?In a right triangle, the hypotenuse is the side opposite the right angle. It is always the longest side of the triangle and is the side opposite to the 90 degrees angle. It is also the side that forms the "hypotenuse" of the right triangle.
What is Pythagorean theorem?The Pythagorean theorem is a fundamental result in Euclidean geometry that states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. It can be written as c^2 = a^2 + b^2, where a and b are the legs of the triangle and c is the hypotenuse. This theorem can be used to find the length of the hypotenuse of a right triangle when the lengths of the other two sides are known.
Let's call the angle we're trying to find "theta". The horizontal distance is 30 feet, the vertical distance is 32 feet and the height is 9 feet.
Using pythagorean theorem:
$c^2 = a^2 + b^2$
$c = \sqrt{30^2 + 32^2}$ = $\sqrt{900 + 1024}$ = $\sqrt{1924}$
Now we can use the tangent function:
$\tan(\theta) = \frac{opposite}{adjacent} = \frac{32}{30}$
Now we can find the angle, theta, by using the inverse tangent function:
$\theta = \tan^{-1}(\frac{32}{30})$
The angle of elevation of the fly's flight path is approximately 57.74 degrees.
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Use the drawing tools to form the correct answer on the graph.
Plot function g on the graph.
On solving the provided question, we cans ay that - in given inequality equation to -7 < x < -2; -2 < x < 3
What is inequality?A connection between two expressions or values that is not equal in mathematics is referred to as an inequality. Inequality results from an imbalance, thus. In mathematics, an inequality establishes the relationship between two values that are not equal. Egality is not the same as inequality. Use the not equal symbol () in most cases when two values are not equal. To contrast values, whether they are tiny or huge, different inequalities are employed. By adjusting both sides until just the variables are left, you may eliminate many straightforward inequalities. However, several factors cause inequality: Divide or add negative values on both sides. Switch the left and right.
-7 < x < -2
-2 < x < 3
and 3 > x > 8
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What is the probability of tossing a coin and getting heads three times in a row?
What is the chance that the next toss will be heads? What is the chance that the next toss will be tails?
The probability of tossing 3 heads in a row is P = 0.125, and after that, because the events are independent, the probability of getting heads (or tails) still is p = 0.5
How to find the probability?Assuming that we have a fair coin, we assume that both outcomes have the same probability, so:
P(tails) = 0.5
P(heads) = 0.5
Then the probability of getting heads 3 times in a row, is the product of the probability of getting heads 3 times, this will be:
P(3 heads) = 0.5*0.5*0.5
P(3 heads) = 0.5^3
P(3 heads) = 0.125
Now, after this point, what is the probability of getting heads or tails?
Remember that each toss of the coin is independent of the previous one, so the probability of getting tails still is 0,5, and the same for the probability of getting heads.
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Pls help me I beg u I need help with the red ones
Answer:
see below
Step-by-step explanation:
You want the ingredient quantities for several different multiples of the basic recipe.
Table ValuesTo fill the table, consider what the column heading is as a multiple of the recipe for 12 people. Use that multiplier for the rest of the numbers in the column.
[tex]\begin{array}{ccccc}\text{12 people}&\times2&\times3&\times\dfrac{1}{3}&\times\dfrac{1}{2\vphantom{g_g}}\\\cline{1-5}1\text{ cup}&2&3&\dfrac{1\vphantom{b^b}}{3\vphantom{g_g}}&\dfrac{1}{2}\\3\text{ cups}&6&9&1&1\dfrac{1}{2}\\2\text{ cups}&4&6&\dfrac{2}{3\vphantom{_g}}&1\\\dfrac{1}{2}\text{ cup}&1&1\dfrac{1}{2}&\dfrac{1}{6}&\dfrac{1\vphantom{^b}}{4\vphantom{_g}}\\1\dfrac{\vphantom{^b}1}{3}&2\dfrac{2}{3}&4&\dfrac{4}{9}&\dfrac{2}{3}\end{array}[/tex]
Can someone help? I answered it, but I want second opinions.
Tim worked for a total of 7 and half hours on Monday and earned $56.25 gross pay.
What is gross pay and net pay?Prior to payroll deductions, earned wages are referred to as gross pay. Employers utilize this amount—$60,000 per year or $25 per hour—when talking to employees about pay. Additionally, the federal and state income tax brackets sometimes refer to gross salary.
The amount of pay that employees get after payroll deductions varies; some may be optional, while others may be required.
Given, On Monday of his time card Tim clocked in at 8:15 am and clocked out at 4:15 pm.
So, The total number of hours she worked is 8 hours, 8:15 to 12:15 is 4 hours, and another four hours.
Also given the time he took for lunch is half an hour.
Therefore, The total hour he worked is 7:30 hours.
He earns $7.5 per hour so his gross pay for Monday is $(7.5×7.5).
= $56.25.
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shown below. Which of the triangle congruence theorems could be used to prove the triangles congruent without establishing any additional information? FA 20 20 in 14 m A SSA B SSS CHL D SAS 14 in
The right triangles are congruent by HL theorem.
What are congruent triangles?The triangles having congruent corresponding parts are called congruent triangles.
Given are two right triangles, with equal hypotenuse and one of the bases.
The question is by which theorem do they are congruent,
HL theorem :-
The HL Postulate states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.
Since, we know that, when two right triangles have congruent hypotenuse and one of their legs are also congruent, then both are congruent by HL theorem of congruence.
Here, both the right triangles are following the condition of the HL theorem.
Hence, the correct option is HL.
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sasha needs 3/4 cup of flour to make a batch of muffins and 1 2/3 cups of flour to make loaf of bread. How many cups of flour does sasha need to make both a batch of muffins and a loaf of bread
Using the addition operation, the number of cups of flour Sasha needs to make both a batch of muffins and a loaf of bread is 2⁵/₁₂ cups.
How is the number or quantity determined?We can use the addition operation to determine the quantity of flour that Sasha needs.
We add the cups of flour needed for both items to determine the total quantity.
The quantity of flour for making a batch of muffins = 3/4 cups
The quantity of flour for making a loaf of bread = 1²/₃ cups
The total quantity of flour needed for making a batch of muffins and a loaf of bread = 2⁵/₁₂ cups (³/₄ + 1²/₃)
(³/₄ + 1²/₃)
= ³/₄ + ⁵/₃
= (9 + 20)/12
= 29/12
= 2⁵/₁₂
Thus, to make a batch of muffins and a loaf of bread, Sasha needs 2⁵/₁₂ cups of flour.
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Find the volume of the given solid. Bounded by the cylinder y^2+z^2=4 and the planes x=2y, x=0, z=0 in the first octant
The volume of the given solid. Bounded by the cylinder y^2+z^2=4 and the planes x=2y, x=0, z=0 in the first octant is 16/3 unit cute
V = ∫ dV
= ∫0→2 ∫ 0→π/2 ∫ 0→ 2·r·sin(φ) [ r ] dzdφdr
Factorize to have
= ∫0→2 ∫ 0→π/2 [ r·2·r·sin(φ) - r·0 ] dφdr
= ∫0→2 ∫ 0→π/2 [ 2·r²·sin(φ) ] dφdr
= ∫0→2 [ -2·r²·cos(π/2) + 2·r²·cos(0) ] dr
= ∫0→2 [ 2·r² ] dr
= (2/3)·2³ - (2/3)·0³
Conclusively, this implies that the volume is = 16/3
In conclusion, the volume of the given solid is 16/3. cubic units
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how much does each nested cart add to the length of the row?
Each nested cart add to the length of the row is 1.5 feet long.
What is the unitary method?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.
Given that, the store measured a row of 13 nested carts to be 23.5 feet long, and a row of 18 nested carts to be 31 feet long.
Each row has a starting cart that is 4 feet long, and the nested carts are next to it.
It is measured that a row of 13 nested carts has a length of 23.5 feet.
Therefore, the original length of 13 nested carts is (23.5 - 4) = 19.5 feet.
So, each nested cart add to the length of the row 19.5/13 =1.5 feet
Again, a row of 18 nested carts to be 31 feet long.
Therefore, the actual added length of 18 nested carts is (31 - 4) = 27 feet.
So, each nested cart add to the length of the row 27/18 =1.5 feet
Therefore, each nested cart add to the length of the row is 1.5 feet long.
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"Your question is incomplete, probably the complete question/missing part is:"
A store is designing the space for rows of nested shopping carts. Each row has a starting cart that is 4 feet long, followed by the nested carts (so 0 nested carts means there's just the starting cart). The store measured a row of 13 nested carts to be 23.5 feet long, and a row of 18 nested carts to be 31 feet long.
How much does each nested cart add to the length of the row?
3 x (5 + 1) = (3 x 5) + (3x1)
What is the real property
The real property of 3 x (5 + 1) = (3 x 5) + (3x1) is the distributive property
How to determine the propertyFrom the question, we have the following parameters that can be used in our computation:
3 x (5 + 1) = (3 x 5) + (3x1)
The distributive property of algebra states that
x * (a + b) = x * a + x * b
This means that
x = 3
a = 5 and b = 1
By comparison, we can conclude that the property is the distributive property
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Part A
A function f(x)=^3√x is transformed into the function g (x) = 2^3√x-4+5. Name and explain in
complete sentences the transformations that occurred to the parent cube root function.
Part B
How is the general shape of a cube root function different from the shape of a square root function? Use
complete sentences in your response.
Square root functions are in the shape of a parabola, like a giant U, while cube root functions are more wide and swiggly, like a stretched out S.
What is function?
Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
Here, given that,
we have to say that, How is the general shape of a cube root function different from the shape of a square root function.
Now, we get,
Square root functions are in the shape of a parabola, like a giant U, while cube root functions are more wide and swiggly, like a stretched out S.
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please help!!! HURRY!!
please help!!! HURRY!!
88 student said they watch TV everyday. This number represents 80% of the students body. What is the total number of students in the student body? And i need you to give me the part,whole,and percent
The total number of students in the student body is 110.
How many students are in the student body?Percentage is the ratio of an amount expressed as a number out of 100. The sign that is used to represent percentage is %.
In order to convert a number to percentage, multiply the number by 100. Percentage is a measure of frequency.
In order to determine the total number of students in the student body, divide the number of students that watch TV everyday by the given percentage.
Number of students in the student body = number of students that watch TV everyday / percentage
88 / 80%
= 88 / 0.8 = 110
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Find the missing angle. Find x.
What is the vertex for the function g(x)?
Answer:
look below!
Step-by-step explanation:
To get the vertex for an equation your best bet is to convert the form into vertex form,which is y=a(x−h)+k . In vertex form (h,k) is the vertex
Eastern Aviation Equipment pays Donald Simmons a $1760 monthly salary plus a 12% commission on merchandise he sells each month. Assume Donald's sales were $90,800 for last month. Calculate the following amounts:
1. Amount of Commission:
2. Gross Pay:
The equation that represent the gross pay is y = 0.12x + 1760. The commission was $10896 and gross pay was $12656
What is an equation?An equation consists of numbers and variables linked together by mathematical operations to form an expression.
A linear equation is in the form:
y = mx + b
Where m is the rate of change and b is the initial value
Let y represent the gross pay for x total sales.
Donald Simmons a $1760 monthly salary plus a 12% commission on merchandise he sells each month, hence:
y = 1760 + 12% of x
y = 0.12x + 1760
Donald's sales were $90,800 for last month. Hence:
a) Commission = 0.12 * $90800 = $10896
b) Gross pay:
y = 10896 + 1760 = $12656
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Three people are sitting on a bus. Julian is seated 4 meters directly behind Elena and 3 meters directly left of Isabella. How far is Elena from Isabella?
Answer:
sq root of 21=7
Step-by-step explanation:
we need to use Pythagoras theorem
so distance(isa-jul)^2 +distance(ele-jul)^2= distance(isa-ele)^2
now just do the square root and there you go.
What is the greatest common factor for 27 and 51
Answer:
27:-3×9
51:-3×17
In 27 and 51 the common one is 3 and hence it is the greatest common factor.✓✓
if you want smallest or lowest common factor then you have to take the common 3 as one and multiply like this:-3×9×17=459 is the Lowest common factor.
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if the slope of a line is 3 ,then the slope of a parallel line is 4
4 3
true or false?
The given statement “if the slope of a line is 3, then the slope of a parallel line is 4” is false because parallel lines have equal slopes
How to determine the true statement of the parallel line?From the question, we have the following parameters that can be used in our computation:
Slope of a line = 3
The equation of a line can be represented as
y = mx + c
Where
Slope = m
By comparing the equations, we have the following
m = 3
This means that the slope is 3
The slopes of parallel lines are equal
This means that the slope of the other line is 3
Hence, the statement is false
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Solve for x and show your steps. Is the solution extraneous? Check your work to show how you extraneous or not.
1 1x + 5 = 7
For the given issue, x has a value of 4. The offered solution is the solution extraneous .
What does the mathematical concept of superfluous mean?When we solve equations, we often obtain values that aren't actually the answer to the equation.
What makes an equation unnecessary?A root of a transformed equation that isn't a root of the previous iteration because it was left out of the original equation's domain is known as a extraneous solution.
According to the given information:√(11x + 5) = 7
(11x + 5) = 7²
11x + 5 = 49
11x = 49 - 5
11x = 44
x = 4
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is a measure of behaviors by producers and consumers in response to changes in price.
Answer: The statement you've provided describes the economic concept of elasticity. Elasticity is a measure of how responsive the quantity demanded or supplied of a good or service is to a change in its price. It measures the responsiveness of the consumers' and producers' behaviors to changes in price, in other words, how sensitive the consumers or producers are to changes in the good or service prices.
There are different types of elasticity, such as price elasticity of demand and price elasticity of supply. Price elasticity of demand measures how much the quantity demanded of a good changes in response to a change in its price. If a good has a high price elasticity of demand, then a small change in its price will result in a large change in the quantity demanded of the good. On the other hand, price elasticity of supply measures how much the quantity supplied of a good changes in response to a change in its price. A good with a high price elasticity of supply will see a large increase in the quantity supplied in response to a small price increase.
Elasticity is a very important concept in economics because it helps to understand how consumers and producers will react to changes in prices and how it would affect the overall economy.
Step-by-step explanation:
Ayuda porfa doy corona
3/4 > 1/5
6/9 > 2/5
6/7 > 3/10
2/11 < 4/9
Answer:
3/4 > 1/5
6/9 > 2/5
6/7 > 3/10
2/11 < 4/9
Step-by-step explanation:
Manera facil de comparar fracciones:.
3/4 1/5
Multiplica el denominador (numero abajo) de cada fraccion por el numerador de la otra fraccion y escribe el producto arriba del numerador.
El numero mas grande esta arriba de la fraccion mas grande.
5 x 3 = 15 arriba de 3/5
4 x 1 = 4 arriba de 1/5
Como 15 > 4, 3/4 > 1/5
30 18
6/9 2/5
6/9 > 2/5
60 21
6/7 3/10
6/7 > 3/10
18 44
2/11 4/9
2/11 < 4/9
Layla gives
120 scarves to Shop A to sell
152 scarves to Shop B to sell.
Shop A sold 15% of its 120 scarves.
Shop B sold an eighth of its 152 scarves.
●
(b) Which shop sells the most scarves?
You must show your working.
Answer:
Shop B
Step-by-step explanation:
First, find the number of scarves that Shop A sold: 15% of 120 scarves is 15/100 * 120 scarves = 18 scarves.
Then, find the number of scarves that Shop B sold: an eighth of 152 scarves is 152/8 = 152/8 = 19 scarves.
Since 18 scarves is less than 19 scarves, Shop B sold more scarves.
A parking lot contains only cars and motor bikes. If there are 18 vehicles and 50 tires in the parking lot, how many cars and bikes are there?
Answer:
7 cars
11 bikes
Step-by-step explanation:
18 cars would have 72 tires. This is 22 more tires than necessary. If we add a bike, we lose four tires (from the car) and add two (from the bike). This means we lose two tires. 22/2 is 11 so it would be 11 bikes and 7 cars.
11 bikes = 22 tires
7 cars = 28 tires
22+28=50 tires
A 969 acre wildlife preserve has 19 cheetahs. About how many acres does each cheetah have to itself, if each cheetah roams the same number of acres?
By taking a quotient, we will see that each cheetah has around 51 acres for itself.
About how many acres does each cheetah have to itself?If we assume that the cheetahs are evenly distributed along the whole area, then the number of acres that each cheetah has to itself is equal to the quotient between the total area, and the total number of cheetahs.
There are 969 acres and 19 cheetahs, then the quotient is:
969/19 = 51
That is the number of acres that each cheetah has for itself.
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. Describe the transformation that changes AABC to AA'B'C'.
Analysing the given figures of the triangles ABC and A'B'C' , the required transformation for changing the traingle ABC to A'B'C' is the translation.
How can a translation transformation be represented in a 2D space?In a two-dimensional space, a translation transformation can be represented by a matrix of the form [1 0 Tx], [0 1 Ty], where Tx and Ty are the horizontal and vertical translation values, respectively. The matrix shows the movement of an object in the x and y directions, with Tx representing the horizontal shift and Ty representing the vertical shift.
What are the effects of a translation transformation on an object?A translation transformation moves an object from one position to another without changing its size or orientation. The shape and size of the object remain the same, but its position changes. The object is moved along a specific direction by a certain distance, and the position of the object within a coordinate system is changed. The effect of a translation can be visualized as sliding an object along a surface, while keeping its orientation and size unchanged.
As we can see from the given graph that the traingle ABC has moved straight downward without any changes in the orientation and the size of the traingle while being transformed to traingle A'B'C', Hence the transformation is translation transformation.
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Parallel, intersecting, and perpendicular
The conditions of the line to be intersecting, parallel, and coincident are explained below.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The types of lines are as follows:
If the slope of the lines is different, then the lines are intersecting lines.If the slope of the lines is the same but the y-intercept of the lines is different, then the lines are parallel lines.If the slope and y-intercept of the lines are the same, then the lines are coincident lines.More about the linear equation link is given below.
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figure A is reduced of figure B.
a). what is the scale factor?
b). if A has area 15cm2. find the area of B.
Part A
Answer: 3/5Reason:
Divide the side lengths of B over A to get B/A = 3/5. The order is important. The fraction 3/5 is smaller than 1 to indicate a size reduction. There are no units involved with the scale factor.
=========================================
Part B
Answer: 5.4 square cmReason:
The linear scale factor is 3/5. The area scale factor is (3/5)^2 = 9/25. It means if figure A had area 25, then figure B would have area 9.
Let's use that idea to set up the following:
(area of figure B)/(area of figure A) = 9/25
B/A = 9/25
x/15 = 9/25
25x = 15*9
25x = 135
x = 135/25
x = 5.4 represents the area of figure B
A parade traveled 8 miles in 4 hours. How far did the parade travel per minute?
Answer:
1/30 of a mile per minute.
Step-by-step explanation:
8/4 = 2 miles per hour.
2/60 = 1/30 of a mile per minute.