When the vertex of a parabola is at the point (3,1), and its focus is at (3,5), the function that the graph represents will be y = 1/16 (x - 3)².
How to illustrate the parabola?From the information given, the vertex of a parabola is at the point (3,1), and its focus is at (3,5). The equation of the parabola will be:
(x - 3)² = 4a(y - 1)
The length is measured along x = 3. The final equation of the parabola will be:
(x - 3)² = 4 × 4(y - 1) = 16(y - 1)
Therefore, rearranging the equation will become:
y = 1/16 (x - 3)².
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Answer:
why would you ask question with no answer options an think to get the same right answer ?
Step-by-step explanation:
What is the length of AC? (Giving 50 Points)
5 and shout out to the one above me :)
Step-by-step explanation:
|-2|+|3|
Distance means basically adding the 2 numbers with absolute value. Absolute value is making both numbers positive.
|-2|+|3| = 5
To check this, you add -2+5 and that is equivalent to 3.
Another way:
Another way is to to count the number of times you can skip on the number line just like I show in the image below.
Answer: Hope this help you!
5
Step-by-step explanation:
|-2|+|3|
Distance means basically adding the 2 numbers with absolute value. Absolute value is making both numbers positive.
|-2|+|3| = 5
To check this, you add -2+5 and that is equivalent to 3.
Another way:
Another way is to to count the number of times you can skip on the number line just like I show in the image below.
Brainliest?
Math!! finding volume of prisms
The volume of the rectangular prism will be 16.2 cubic ft.
How to find the volume of a right rectangular prism?Suppose that the right rectangular prism in consideration be having its dimensions as 'a' units, 'b' units, and 'c' units,
then its volume is given as:
V = a x b x c unit^3
The dimensions of the given rectangular prism;
Length = 2.7ft
Width = 3 ft
Height = 2 ft
The volume of the rectangular prism
V = a x b x c unit^3
V = 2.7 x 3 x 2
V = 16.2 cubic ft
Hence, the volume of the rectangular prism will be 16.2 cubic ft.
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I WILL GIVE BRAINLIEST
My mother pays my brother twice as much allowance each week as she pays me because he cleans the bathrooms. Together we get $24 each week. How much is my brother's allowance each week?
A. $4.00
B. $8.00
C. $16.00
D. $24.00
Answer:
C is the answer
Step-by-step explanation:
16+ (16/2)=16+8=24
Your teacher just bought a new aquarium that is a rectangular prism. If his/her aquarium has a length 48 inches, a width of 36 inches and a height of 30 inches, what is the aquarium’s volume?
The volume of the rectangular aquarium prism will be 51840 cubic inches.
What is a rectangular prism?A closed solid with two parallel rectangular bases joined by a rectangle surface is known as a rectangular prism.
Your teacher just bought a new aquarium that is a rectangular prism.
If an aquarium has a length of 48 inches, a width of 36 inches, and a height of 30 inches.
Then the volume of the aquarium will be
The volume is given as
Volume = Length x Width x Height
Then we have
Volume = 48 x 36 x 30
Volume = 51840 cubic inches
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Question 14 of 16
Identify the domain of the function shown in the graph
A. All positive integers
B. All real numbers
6. All positive real numbers
D. X>=0
B, because you would just assume the line continues forever on both sides.
The performance of a cyclist in a race is affected by whether it rains or not that day. The probability the cyclist crashes is 5/8 when it rains and 1/8 when it's dry. On a given day the probability of rain is 1/3 . What is the probability that the cyclist doesn't crash on any given day? please help me
To solve this problem, we have to consider the fact that if the probability that the cyclist may crash due to some circumstance. The probability the cyclist doesn't crash at any given day is 3/8
ProbabilityThe probability the cyclist crash when it's wet or dry will be the
[tex]P = P_w_e_t * P_d_r_y[/tex]
P(wet) = 5/8P(dry = 1/8The probability the cyclist crash on any given day is
[tex]P = \frac{5}{8}*\frac{1}{8} =\frac{5}{64}[/tex]
we can subtract 1 from the value above to find the probability the cyclist doesn't crash at any given day
[tex]P = 1 - \frac{5}{64} \\P=\frac{3}{8}[/tex]
The probability the cyclist doesn't crash at any given day is 3/8
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If a +b+c+d+e= 576°, find the value
of angle f. Give your answer in degrees (°).
Answer:
f = 144 degrees
Step-by-step explanation:
Since there are 6 angles (a,b,c,d,e,f), this means that it is a 6-sided polygon. The formula to find the total sum of interior angles is (n-2)*180, n being the amount of sides.
Let's plug it into the formula: (6-2)*180 = 720
This means that a+b+c+d+e+f = 720, but we can substitute (a+b+c+d+e) for 576.
576+f=720
f = 144 degrees
Sally has 90 apples and she adds a double of what she subtracts. Now, she has 1/4 of 1000. How much does she add?
Answer:
I think it's 160...
Step-by-step explanation:
1/4 of 1000 is 250
250
- 90
____
160
10
Select the correct answer.
Which equation is equivalent to the given equation?
- 4(x - 5) + 8x = 91 - 3
OA -5x = 2
OB. 5 = 17
OC. -5x = -23
OD. 5x = -12
Recet
Next
The equation that is equivalent to the given equation is 4x = 68. No answer is correct
Equations and expressionsEquations are two expressions equated to each other. Given the equation below;
- 4(x - 5) + 8x = 91 - 3
Expand
-4x + 20. + 8x = 88
Collect the like terms
4x + 20 = 88
4x = 88 - 20
4x = 68
Hence the equation that is equivalent to the given equation is 4x = 68
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what number minus 40% equals 42
Answer: 105
Step-by-step explanation:
Answer:
105
Step-by-step explanation:
100%*42=4200
4200/40%=105
solve these algebraic fractions please with explanation would be great
Answer:
look above
Step-by-step explanation:
hope it helps
A jazz concert brought in $153,500 on the sale of 7,500 tickets. If the tickets sold for $15 and $25 each, how many of each type of ticket were sold?
The number of $15 tickets is
Answer:
the answr is 87 jistg ebcaujse
Step-by-step explanation:
3,500 tickets were sold for $15 each and 4,600 tickets were sold for $25 each.
Let x be the number of $15 tickets and y be the number of $25 tickets.
We know that:
x + y = 7,500 (the total number of tickets sold)
15x + 25y = 153,500 (the total amount of money made from ticket sales)
We can use the first equation to express y in terms of x:
y = 7,500 - x
We can substitute this expression of y into the second equation:
15x + 25(7,500 - x) = 153,500
Solving for x:
15x + 25(7,500) - 25x = 153,500
15x + 187500 - 25x = 153,500
-10x = -34,000
x = 3400
Therefore, 3,400 tickets were sold for $15 each and 7,500 - 3,500 = 4000 tickets were sold for $25 each.
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(-4,1) and (2,-3) find length and midpoint of segment
Step-by-step explanation:
the length is calculated via Pythagoras, as the coordinate differences and the direct connection (as the Hypotenuse) between both points create a right-angled triangle.
length² = (-4 - 2)² + (1 - -3)² = (-6)² + 4² = 36 + 16 = 52
length = sqrt(52) = sqrt(4×13) = 2×sqrt(13)
the midpoint is simply ((x1+x2)/2, (y1+y2)/2)
so,
(-4 + 2)/2 = -2/2 = -1
(1 + -3)/2 = -2/2 = -1
therefore, the midpoint is (-1, -1)
does someone mind helping me with this question? Thank you!
Answer:
41
Step-by-step explanation:
3(4)²-2(4)+1
48-8+1
41
Answer:
y = 39
:. ? = 39
Step-by-step explanation:
let y represent ?
while x = 4
:. 3x² – 2x + 1 = y
3(4)² – 2(4) + 1 = y
3(16) – 8 + 1 = y
48 – 9 = y
39=y
If you walk 6 blocks east, 2 blocks north, 3 blocks west and 4 blocks south, then what is the total distance you travel?
Answer:
6 + 2 + 3 + 4 = 15
so 15 blocks
a block is about 0.05 miles
so 15 blocks in miles is 0.75 miles
8- Determine the midpoint of a line segment with the endpoints (8, 0) and
(4,6)
A. (3,6)
B. (7,3)
C. (6,3)
D. (7.6)
Can someone help pls ?
Answer:
C. (6, 3)
Step-by-step explanation:
Use the midpoint formula!
Midpoint Formula
[tex]\text{midpoint} = (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})[/tex]
x₁, x₂ ... x-coordinates of the endpoints
y₁, y₂ ... y-coordinates of the endpoints
Given endpoints:
(8, 0)
(4, 6)
Points are in form (x, y).
Now let's substitute the variables in the formula with our values.
[tex](\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})[/tex]
[tex](\frac{8 + 4}{2}, \frac{0+ 6}{2})[/tex]
[tex](\frac{12}{2}, \frac{6}{2})[/tex]
[tex](6, 3)[/tex]
(6, 3) is our midpoint!
Sahira chooses a random sample from the library and records the type of books in the chart below.
Type of Book
Number
Fantasy
10
Literature
25
Children’s
4
Nonfiction
11
The last option c is right because each book selected represents the sample from the population of full library books.
We have given that,
Sahira chooses a random sample from the library and records the type of books in the chart below.
Type of Book Number
Fantasy 10
Literature 25
Children’s 4
Nonfiction 11
t, showing the distribution of the number of books in a library.
Also given that Sahira chooses a random sample from the library and records the type of books in the chart below.
Sahira's sample can be said to be representative because given that books are taken at random.
So just because books literature more we cannot say it is not representative II option is not right, because each book was not chosen uniquely, just random books were drawn.
What is the population?
A population is defined as a group of individuals of the same species living and interbreeding within a given area. Members of a population often rely on the same resources, are subject to similar environmental constraints, and depend on the availability of other members to persist over time.
The last option c is right because each book selected represents the sample from the population of full library books.
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Find k.
10 mi
60⁰
K
30⁰
Work out the percentage change to 2 decimal places when a price of £11 is decreased to £8.
Answer:
27.27%
Step-by-step explanation:
find the change in price
£11-£8=£3
percentage change=( (change in price)÷ (original price)) ×100%
(£3/£11) × 100%
=27.27%
How many tickets did Airon sell in 2018?
Answer:
11320 is the answer .hope i help you
solve 2(x+7) +3 (x+1)
Answer:
5x +17Step-by-step explanation:
Simplify step by step:
2( x+7 ) +3 ( x+1 )
We'll distribute:
= ( 2 ) ( x ) + ( 2 ) ( 7 ) + ( 3 ) ( x ) + ( 3 ) ( 1 )
= 2x + 14 + 3x + 3
We'll Combine Like Terms:
= 2x + 14 + 3x + 3
= ( 2x + 3x ) + ( 14 + 3 )
= 5x + 17 Answer!
Answer:
Step by step Explanation:
2(x+7) +3(x+1)
Open the brackets (multiply outside number by the numbers and letters inside the brackets)
2x + 14 + 3x+ 3
Collect like terms (collect ones that look alike in one side )
2x + 3x + 14 + 3
Add the like terms (add the ones that look alike)
= 5x + 17 (Answer)
I hope you understand it, it's really simple just work step by step.
Good luck ✅.
Jessica wants to plan where she will place furniture in her room, so she has drawn a scale model of her room in order to begin planning. the scale model is 11 inches long and 8.5 inches wide. jessica notices that the door to her room takes up 1.75 inches on the right-side wall of her room, and she realizes that she cannot place any furniture in the area that the door turns through when it is opened. if the longest wall in jessica’s actual room is 15 feet long, what is the best estimate of the area of the actual space in her room where furniture cannot be placed because of the door? 6 ft 2 6.5 ft 2 18 ft 2 9 ft 2
Answer:
(d) 9 ft²
Step-by-step explanation:
To find the excluded area for furniture, we can find the actual size of the door, then compute the area of the semicircle that it turns through. The door size will be the product of the drawing dimension and the scale factor relating the room to the drawing.
__
door sizeRoom size and drawing size are proportional. This means ...
door size / door drawing = room length / room drawing
door size / (1.75 in) = (15 ft)/(11 in)
door size = (15 ft)(1.75/11) = 105/44 ft ≈ 2.386 ft
__
exclusion areaThe area of a circle with radius r is given by the formula ...
A = πr²
Then the area of a semicircle (half a circle) with radius 2.386 ft will be ...
A = 1/2π(2.386 ft)² ≈ 8.945 ft²
A good estimate of the furniture exclusion area is 9 ft².
_____
Additional comment
The scale factor is (15 ft)/(11 in) = 15/11 ft/in. Multiplying that by 7/4 in gives 105/44 ft.
find the area of the partial circle. use 3.14 for pi.
Thats a semi circle
Area
πr²/2π(1)²/2π/23.14/21.57cm²Find the amplitude of this function.
The amplitude is 2.5
Equation:
the equation to find the amplitude is (max-min) / 2.
using this equation, it would be (4 - (-1)) / 2
5 / 2 = 2.5
Which pair of angles are vertical angles? 6 and 5 2 and 3 1 and 3 5 and 8
Answer:
1 and 3
Step-by-step explanation:
1 and 3 are vertical angles
y inversely proportional to x
when y=,x=9
work out an equation connecting y and x
What does y equal to? I think you had a typo
20 points!!! Which one of the graphs represent the function?
Answer:
the second one, but I'm not sure if I'm right
Hello !!! please help me <3 will give brainle and 25 points please help !!!!
answer: 375
Step-by-step explanation:
panda bear caps: 25
they ordered 100 in total
25/100 = 1/4, a quarter
then you find a quarter of 1500
1500/4= 375
Simplify this expression.
7
12
43
36
37
36
es
A)
B)
C)
D)
11
12
003
8
33
d
Step-by-step explanation:
0 belongs to what family of real numbers?
Irrational
Rational, Integer, Whole
Rational
Rational, Integer, Whole, Counting
Answer:
Rational, Integer, Whole
Step-by-step explanation:
Zero(0) can be classified as a whole number, rational number, and non-negative integer.Zero is not a counting number because every counting starts with zero and counting zero (0) means nothing.