Answer:
17/200 or [tex]\frac{17}{200}[/tex]
Step-by-step explanation:
Find the equation of a parabola with its vertex at the origin and directrix x = 3.
The equation of a parabola is y²+12x=0.
In mathematics, what is a parabola?A parabola is a U-shaped plane curve in which any point is an equal distance from both a fixed point (known as the focus) and a fixed straight line (known as the directrix).
What exactly are the three parabola equations?Parabola functions are classified into three types: standard form, vertex form, and intercept form (also known as factored).
as per the given question:
We have a vertex at (0,0) and the directrix is x = 3, a line parallel to the y-axis, it must have a focus at (3,0).
The parabola equation represents the locus of a point (x, y) that moves so that its distance from x=3 and (3,0) is equal. As a result, the parabola equation is, An equation of the parabola represents the locus of a point (x, y), which moves so that its distance from x=3 and (−3,0) are equal. Hence, the equation of a parabola is
(x−(−3))² + (y−0)² = (x−3)²
or (x+3)² + y² = (x−3)²
or x² + 6x + 9 + y² = x² − 6x + 9
or y² + 12x =0
Hence, The equation of a parabola is y²+12x=0.
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Does the graph represent a function?
HELP ASAP PLEASE
FIND THE LENGTH FOR X
Answer:
6
Step-by-step explanation:
Corresponding sides of similar triangles have proportional side lengths.
[tex]\frac{x}{4.5}=\frac{4}{3} \\ \\ x=\frac{4.5(4)}{3} \\ \\ x=6[/tex]
Please help me im trying to finish before deadline
The theorem that proves <DAE=<BAC is Pythagoras theorem.
What is Pythagoras theorem ?The Pythagorean Theorem, often known as Pythagoras Theorem, is a crucial concept in mathematics that describes how the sides of a right-angled triangle relate to one another. Pythagorean triples are another name for the sides of the right triangle. Here, examples help to demonstrate the formula and proof of this theorem.In essence, the Pythagorean theorem is used to determine a triangle's angle and length of an unknown side. This theorem allows us to obtain the hypotenuse, perpendicular, and base formulas. In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.To learn more about Pythagoras theorem refer to:
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3. Solve each equation. Show your work.
a. 2x = 27 - x
Answer:
2x=27-x - given
3x=27 - add x to both sides
x=9 - divide both sides by 3
Step-by-step explanation:
[tex]2x=27-x[/tex]
Simplify:
[tex]2x=-x+27[/tex]
Add x to both sides:
[tex]2x+x=-x+27+x[/tex]
[tex]3x=27[/tex]
Divide both sides by 3:
[tex]\dfrac{3x}{3} =\dfrac{27}{3}[/tex]
[tex]\fbox{x = 9}[/tex]
Which expression is equivalent to the expression below?
7p+3(2q+9p)
a.7(p+6q+27p)7(p+6q+27p)
b.-2p+12q−2p+12q
c.-p+9q−p+9q
d.34p+6q34p+6q
The equivalent expression will be;
⇒ 34p + 6q
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 7p + 3 (2q + 9p)
Now,
Since, The expression is,
⇒ 7p + 3 (2q + 9p)
Hence, Solve for equivalent expression as;
⇒ 7p + 3 (2q + 9p)
⇒ 7p + 6q + 27p
⇒ 34p + 6q
Thus, The equivalent expression is find as,
⇒ 34p + 6q
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WILL MARK BRAINLEIST!!!
Thomas wants to start a canned food collection with his friends to help the community. They bring 2 cans of food the first day, 4 cans on the second day, 8 cans on the third day, and 16 cans on the fourth day. Thomas and his friends plan to collect cans for 10 days. Which statement describes why this sequence is a function? Select each correct answer.
A.The graph of the sequence would pass the vertical line test.
B.The graph of the sequence would pass the horizontal line test.
C.Each day corresponds to a unique amount of cans in the sequence.
D.They have a different amount of cans for the same day.
The statement that describes why this sequence is a function is given as follows:
A.The graph of the sequence would pass the vertical line test.
When does a relation represents a function?A relation represents a function when each value of the input is mapped to a single value of the output.
In this problem, the input is the number of days, while the output is the number of cans. There are no repeated inputs, which means that this relation is a function.
On the graph, a relation being a function means that a vertical line will intercept the graph of the function only once, and thus option A is correct.
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Could someone pls explain on how to find the 5 number summary, Recall that the 5-number summary is the minimum, lower quartile, median, upper quartile, and maximum.
The numbers are 1 1 1 1 3 3 3 4 4 4 5 5 5 5 6 6 6 13 13 16 16 16 21 22 24 28 28
Maximum = 28, Minimum = 1, Lower Quartile = 3, Median = 5, and Upper Quartile = 16
The Five Number Summary is what?The minimum, lower quartile (Q1), median (Q2), upper quartile (Q3), and maximum make up the five-number summary. The median is the middle value; Q1 is the median of the first half of the data, and Q3 is the median of the second half. The lowest is the smallest number, the maximum is the highest, the median is the intermediate value.
The 5 digit summary definition
minimal is a smaller number.
lower quartile: First-half median of the data.
median
upper quartile :Median of the second half of data
greatest number is maximum
The numbers are 1 1 1 1 3 3 3 4 4 4 5 5 5 5 6 6 6 13 13 16 16 16 21 22 24 28 28
minimum = smallest number = 1
lower quartile = Median of the first half of data = 1 1 1 1 3 3 3 4 4 4 5 5 5 = 3
median = median( middle value) = 5
upper quartile = Median of the second half of data = 6 6 6 13 13 16 16 16 21 22 24 28 28 = 16
maximum = largest number = 28
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the gfc of 4800xy^3 , 1600y
The GFC of 4800xy³, 1600y is 1600y.
What is GFC:The greatest positive integer that evenly divides into all of the numbers with zero residual is the greatest common factor (GCF, GCD, or HCF) of a collection of whole numbers.
To find the GFC of a given number we will write them as a product of their prime factors.
Here we have
4800xy³ , 1600y
Write the given number as a product of prime numbers
4800xy³ = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × x × y × y × y
1600y = 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × y
Now list out the highest common factors
[ Here we will list out the factors which are common in both lists]
=> 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × y
=> 1600y
Therefore,
The GFC of 4800xy^3 , 1600y is 1600y
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Booker T. Washington Middle School found two companies that would deliver healthy snacks to school. The tables below show the price charged by each company. How many more times does Company B charge per snack than Company A?
Two more times company B charge per snack than company A
What is meant by ratio?A ratio in mathematics displays the multiplicative relationship between two numbers. In a bowl of fruit, for instance, the proportion of oranges to lemons is eight to six if there are eight oranges and six lemons (that is, 8:6, which is equivalent to the ratio 4:3). In a similar vein, the proportion of oranges to the overall amount of fruit is 8:14, and that of lemons to oranges is 6:8 (or 3:4). (or 4:7).
A ratio can have any number of numbers as its components, including counts of people or things, weights, lengths, and times, among other values.
From the two tables,
0.5/0.25=2
1/0.5=2
1.5/0.75=2
2/1=2
Therefore, 2 more times company B charge per snack than company A
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the following data reflects the overall enrollment in 10 universities of the open skies state in 2019 (again, the numbers are in thousands and are rounded): 23, 14, 27, 35, 7, 16, 25, 23, 35, 21. compute the mean and the irq of the data represented by your frequency plot.
The mean of the given data is 22.6
In the given question, the following data reflects the overall enrollment in 10 universities of the open skies state in 2019:
23, 14, 27, 35, 7, 16, 25, 23, 35, 21.
We have to compute the mean.
As we know that;
A data set's mean (average) is calculated by summing all of the numbers in the set, then dividing by the total number of values in the set.
To find the mean we firstly add the given data then we divide the sum of data by the total number of data.
Mean = Sum of all data/ Total number
Mean = 23 + 14 + 27 + 35 + 7 + 16 + 25 + 23 + 35 + 21/10
Mean = 226/10
Mean = 22.6
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An object is attached to a spring that is stretched and released. The equation d= -8cos (pi/6 t) the distance, d, of the object in inches above or below the rest position as a function of time, t, in seconds. Approximately when will the object be 6 inches above the rest position? Round to the nearest hundredth, if necessary.
The time at which the object is 6 inches above the rest position will be 4.62 seconds.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
An item is connected to a spring that is extended and delivered. The condition d= - 8cos [(π/6) t] the distance, d, of the item creeps above or underneath the rest position as an element of time, t, in a flash.
d= - 8cos [(π/6) t]
If d = 6, then the value of the variable 't' is calculated as,
6 = - 8cos [(π/6) t]
- 3/4 = cos [(π/6) t]
cos [(77/100)π] = cos [(π/6) t]
Compare the angle, then we have
(π/6) t = (77/100)π
t / 6 = 77 / 100
t = 4.62 seconds
The time at which the item is 6 crawls over the rest position will be 4.62 seconds.
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15. Anisa bought $100 worth of stock and gained $25 per year. Kevin bought $400 worth of stock and lost $35 per year. Use x for time and y for stock value. Graph the equations that represent each situation. When did Anisa and Keith have the same amount of stock value?
In 5th year, Anisa and Keith have the same amount of stock value. Anisa bought $100 worth of stock and gained $25 per year. Kevin bought $400 worth of stock and lost $35 per year.
Define equation.In mathematics, an equation is a relationship between two expressions that is expressed as an equality on each side of the equal to sign. An equation would be 3y = 16, for instance.
Given
1. For Anisa
For our problem, we know that she will make $25 annually, thus if x denotes the number of years in which she will make this gain 25x. She made a $100 initial deposit, which is also known as y. The following equation can be used to link the quantities if we assume that the stock value will remain constant throughout time:
y = 25x + 100
2. For Kevin
He is currently losing $35 annually. Let the x years be represented. He will lose -35 times year because we know that losses are represented by a minus sign. We now know that her initial investment y in our situation was $400. The following equation can be used to link the quantities if we assume that the stock value will remain constant throughout time:
y = -35x + 400
On year 5th
For Anisa
y = 25(5) + 100
y = 125 + 100
y = 225
For Kevin
y = -35x + 400
y = -35(5) + 400
y = -175 + 400
y = 225
In 5th year, Anisa and Keith have the same amount of stock value.
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The table below represents a linear function.
\def\arraystretch{1.5} \begin{array}{|c|c|c|c|c|} \hline n & -3 & 1 & 5 & 9 \\ \hline f(n) & -3 & 5 & 13 & 21 \\ \hline \end{array}
n
f(n)
−3
−3
1
5
5
13
9
21
What is the slope?
Answer:
2
Step-by-step explanation:
if you do change in y/change in x it would be 8/4 with simplifies down to 2
What is the probability that the students will have a pop quiz on a randomly selected day? a. 0.25 b. 0.52 c. 0.77 d. 0.90
The probability that the students will have a pop quiz on a randomly selected day will be A. 0.25.
How to calculate the 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. In this case, 0 denotes the impossibility of the event and 1 represents certainty.
From the information, the probability that students will not have a quiz is 75%. The probability that the students will have a pop quiz on a randomly selected day will be:
= 1 - 75%
= 0.25
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Complete question
The probability that students will not have a quiz is 75%. What is the probability that the students will have a pop quiz on a randomly selected day? a. 0.25 b. 0.52 c. 0.77 d. 0.90
19. Evaluate the function
Find h (-10) if h (x) = -6x +9
Answer:
h(- 10) = 69
Step-by-step explanation:
substitute x = - 10 into f(x) , that is
f(- 10) = - 6(- 10) + 9 = 60 + 9 = 69
An Article is bought for Rs 300 and sold for 315. Find the profit and profit percent
Note Please Solve the Question Properly
Answer: PROFIT= 15
PROFIT PERCENT(%)=5%
Step-by-step explanation: As the article is bought at 300 and sold at 315, the difference between the buying and the selling prices is the profit.
Profit is the margin between the price you have bought and the price at which you have sold.
That is 315-300= 15
Now the percentage 15/300*100 = 5
To know the percentage, we have to divide the given value by the total value and after that multiply the result by 100.
Here the given value which is profit is 15 and the total is 300
After dividing 15/300 We get 0.05 and multiply by 100= 5.
So the percentage is 5%.
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Answer: The profit is Rs 15 and the profit per cent is 5%.
Step-by-step explanation:
Purchase Price: Rs 300
Selling Price: Rs 315
profit: 315-300=15 ( profit=selling price -cost price)
profit percentage= (15/300)*100 ( profit percentage= (profit/cost price)*100)
Which set of ordered pairs (x, y) could
represent a linear function?
A={(-5,2), (2-1), (1.-4), (5-7)}
B={(-5,5), (1,2), (5,0), (9-2)}
C={(-1,-1), (0,1), (1,3), (2,6)}
D={(3-4), (0-3), (3-2). (6-1)}
Set of ordered pairs (x, y) could represent a linear function A={(-5,2), (2-1), (1.-4), (5-7)}, C={(-1,-1), (0,1), (1,3), (2,6)}
What is function?
A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output.
A function is defined as a relation between input values and output values. The set containing input values is called domain, and the set containing output values is called range.
The most important characteristic of functions (which define them) is that an input value can't have two difference output values. Having said that, notice that sets B and D have pairs that don't follow this rule.
Therefore, the right answers are A and C, because each input value has only one output value.
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what is 3f2 x 7f??????????????????????
Answer:
f1= -2+1/3
f2= 0
Step-by-step explanation:
3f^2+7f=0
a = 3; b = 7; c = 0;
Δ = b2-4ac
Δ = 72-4·3·0
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
f1=−b−Δ√2af2=−b+Δ√2a
Δ−−√=49−−√=7
f1=−b−Δ√2a=−(7)−72∗3=−146=−2+1/3
f2=−b+Δ√2a=−(7)+72∗3=06=0
Step by step !!!!pease help
The option C is correct
What is the mathematical ratio?
Definitions: When the second number in the ordered pair, b, is not equal to 0, the ratio is expressed as a/b. An equation in which two ratios are made equal is known as a percentage. For instance, you could express the ratio as 1: 3 if there is 1 guy and 3 girls
Given that:
Everglades Elementary school Purchases 125 fourth grade math's textbooks and 191 fifth grade math's textbooks
Total textbooks = 125 + 191 = 316 books
A box can contain maximum = 28 books
so the ratio of books and box will be = 316/28 = 11 box and 8/28
So total box will be 11 completely filled and the last one will be filled by 8/28
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a square room has a floor area of 64 square meters. the height of the room is 9 meters. what is the area of all 4 walls?
Answer:
288 m^2
Step-by-step explanation:
each side of the room is 8 m ( 8x8 = 64)
So you have FOUR walls of widht 8 and height 9
area = FOUR * ( 9 *8) = 288 m^2
Explain why the triangles are similar. Then find the distance represented by x.
hurry pleaseeee
Answer:
they are the same shape but one is 3 .5 times larger. If you divide 42 by 3.5 you get 12 so in order to get x you need to multiply 4ft 6in by 3.5. 4ft 6in • 3.5= 15.75 ft or 15ft and 9in. Hope this helps good luck!
Just answer it, dont have to show work, will mark brainly
The system of equations with the same solution set as the system of equations given is presented as follows:
5x + 3y = 10.x - 2y = -1.How to obtain the system of equations with the same solution set?The system of equations for this problem is presented as follows:
5x + 3y = 10.2x - 4y = -2.Another system of equations will have the same solution set as the system given when it's equations are multiples of the equations in this problem.
This holds true for the first option, as:
The first equation is the same for both systems, 5x + 3y = 10.The second equation on the first option is x - 2y = -1, meaning that it was the second equation of the given system divided by 2.More can be learned about a system of equations at https://brainly.com/question/24342899
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Given the figure below. Each side must be larger than zero. Find the minimum range for the value of z.
____ < z < 173
17
3
Round to the nearest tenth.
Answer:
1.5
Step-by-step explanation:
[tex]z+11>0 \implies z>-11 \\ \\ 4z-6>0 \implies z>1.5[ex]
The stricter bound is [tex]z>1.5[/tex].
Write Expressions Word Problems 1.
You run a small business and would like to print some business cards.
Staples offers color business cards for a small fee.
The cost is $.75 per card.
A) Write an expression for the total cost (in dollars) if you print b business cards. B) How much does it cost you to print 50 business cards?
Step-by-step explanation:
cost of business card - $.75 ( per card )
I want to print 50
So we will multiply 75 × 50
75
×50
00
355×
=375
$.375 will be the cost of the same
Help please !!!???!!!!
Answer:
the lenth of the court is 78 feet
Lin says she has memorized the lengths of a few right triangles, for example, 3, 4, and 5. She is trying to compile a list of several right triangles but needs your help.
Select all the lengths of triangles that are right.
1.) 8, 9, 64
2.) 2,4,6
3.) 1, 1, V2
4.) 7,19,22
5.) 5, 12, 13
please help with this
The second price means how much the chips cost per gram. That's what the "/g" part means. Divided by gram. So, the second price of 1000 grams of Nameless chips gets you more chip per cent, because the bag charges $0.002 per gram instead of $0.003 per gram as the other does.
For dinner one night, the
family went to the local
pizza parlor. The cost of a
soda was $3. If each
member of the family
had a soda and one slice
of pizza, how much did one
slice of pizza cost?
Humans are drawn to foods that are fatty, sweet, rich and complex. Pizza has all of these components.
What is the description of pizza?Pizzeria is another word for a pizza restaurant or pizza parlor – a place where pizzas are made, sold and served to customers. The term pizzeria comes from the product, pizza, and the suffix, -eria, which translates from italian to “place of” in english. Together, pizzeria means “place of pizza”.pizza, dish of Italian origin consisting of a flattened disk of bread dough topped with some combination of olive oil, oregano, tomato, olives, mozzarella or other cheese, and many other ingredients, baked quickly—usually, in a commercial setting, using a wood-fired oven heated to a very high temperature—and served hot .If we use the variable p to represent our pizzas and s to represent our sodas, if our first equation states than 8 slices of pizza and 5 sodas cost $36.50, that's 8p + 5s = 3650.Notice that I expressed cost in terms of cents so
that we can avoid having to deal with decimals.
In our second equation, 4 slices of pizza and
10 sodas cost $37, that's 4p + 10s = 3700.
Now let's rewrite our two equations on top of one another.
8p + 5s = 3650
4p + 10s = 3700
To solve this system of equations, I would use addition.
I would multiply the bottom equation by -2
to create a situation where our p's will cancel.
When we do that, we get -8p - 20s = -7400.
Now rewrite the equations once again ~
8p + 5s = 3650
-8p - 20s = -7400
Now add the equations together.
So we have -15s = -3,750.
Divide both sides by -15 and s = 250.
Remember that I expressed cost in terms of cents so
since s = 250, it really means that a soda is $2.50.
Now just plug an s back in for the s in one equation.
When we do this, we find that p = 300.
So a pizza is $3.00
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A hook in an office storage closet can hold no more than 6 pounds. An order of jumbo paperclips weighs 2 pounds and an order of packing tape weighs 3 pounds. If x is the number of orders of paperclips and y is the number of orders of packing tape, which graph represents the overall equation represented by this scenario (all points may not apply to the scenario)?
On a coordinate plane, a solid straight line has a negative slope and goes through (0, 2) and (3, 0). Everything below and to the left of the line is shaded.
On a coordinate plane, a solid straight line has a negative slope and goes through (0, 2) and (3, 0). Everything above and to the right of the line is shaded.
On a coordinate plane, a solid straight line has a negative slope and goes through (0, 3) and (2, 0). Everything to the right of the line is shaded.
On a coordinate plane, a solid straight line has a negative slope and goes through (0, 3) and (2, 0). Everything to the left of the line is shaded.
The first graph shows how many of each order could fit into a bag that was hanging from a hook. First, a detailed explanation: * Let's discuss the issue's solution.
Find graph?The quantity of orders of paperclips is x, and the weight of the order of jumbo paperclips is 2 pounds. The order of paperclips weighs 2 x = 2 x, the order of packing tape weighs 3 lbs., and the quantity of orders of packing tape is y. The weight of the tape order is 3 y = 3 y, the weight of the entire order is 2 x + 3 y, and the hook can only support a maximum weight of 6 y. 2x + 3y ≤ 6
The graph that depicts this inequality, Any line's equation is y = mx + c, where m represents its slope.
The y-intercept indicates to replace x in the equation by 0; the x-intercept indicates to replace y in the equation by 0; 2x - 3y 6 is the inequality. 2x + 3y = 6 is the equation for the line.
- Subtract 2x from both sides: 3y = 6 - 2x; - Divide both sides by 3: y = 6/3 - 2/3 x; - Locate the y-intercept: x = 0; y = 2;
The line crosses the y-axis at position (0 , 2)
– Locate the x-intercept.
∵ y = 0
∴ 0 = 2 - 2/3 x
- Adjust both sides by 2/3x.
∴ 2/3 x = 2
Increase both sides by 3.
Divide all sides by 2 to get the answer.
∴ x = 3
The line crosses the x-axis at position (3 , 0)
First and second from the figure.
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