Using proportions, it is found that there were 3 winners at the end of the second hour.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
After the first hour, 2 people were tied and split the prize, hence they received $6/2 = $3.
After the second hour, the winners received $2, hence the number of winners is given by:
n = $6/$2 = 3.
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31) Given the parent function f(x) = |x|, describe the translation of the function g(x) = 2|x] + 9 from the parent function.
Answer:
the graph is shifted up 9, compressed by a factor of 2
Step-by-step explanation:
General form of an absolute value equation:
f(x)= a|x - h| + k
The variable a tells us how far the graph stretches vertically, and whether the graph opens up or down. The variables h tell us how far the graph shifts horizontally and vertically.
parent function f(x) = |x|,
the translation of the function g(x) = 2|x| + 9 from the parent function.
- the +9 shift the graph up 9
- the 2 compresses the graph
1. Each equation below represents a circle. Place its equation in standard form and then state the coordinates of its center and the length of its radius.
(a) x² + 8x + y2 – 2y = 8
(b) x2 - 6x + y2 - 20 y =12 -
(c) x2 –16x + y2 +10y+88 =
(d) y2 + x2 +8x = 84
Completing the squares, it is found that the center and the radius of the circles are given as follows:
a) The center is (-4,1) and the radius is 5.
b) The center is (3, 10) and the radius is 11.
c) The center is (8,-5) and the radius is 1.
d) The center is (-4,0) and the radius is 10.
What is the equation of a circle?The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
Item a:
x² + 8x + y² - 2y = 8
Completing the squares:
(x + 4)² + (y - 1)² = 8 + 4² + 1²
(x + 4)² + (y - 1)² = 25
Comparing to the standard equation: The center is (-4,1) and the radius is 5.
Item b:
x² - 6x + y² - 20y = 12
(x - 3)² + (y - 10)² = 12 + 3² + 10²
(x - 3)² + (y - 10)² = 121
The center is (3, 10) and the radius is 11.
Item c:
x² - 16x + y² + 10y + 88 = 0
(x - 8)² + (y + 5)² = -88 + 8² + 5²
(x - 8)² + (y + 5)² = 1
The center is (8,-5) and the radius is 1.
Item d:
x² + 8x + y² = 84
(x + 4)² + (y - 0)² = 84 + 4²
(x + 4)² + (y - 0)² = 100
The center is (-4,0) and the radius is 10.
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Please I need help this assignment is due in 15-mins
Loretta's famous punch calls for 2 liters of mango juice. The only mango juice Loretta can find is sold in 200-milliliter cartons. How many cartons of mango juice does Loretta need to buy?
Answer:
10 cartons
Step-by-step explanation:
1 liter is equal to 1000 milliliters
We are looking for 2 liters of mango juice. So you would need 2000 milliliters of juice.
But the juice is sold in 200 milliliter cartons. So if you multiply 200 by 10, it should give you 2000.
Find the volume of the cone. Round your answer to the nearest tenth. 15 cm 4 cm
Answer:
Step-by-step explanation:
What is the volume of a right rectangular prism with a length of 4.8 meters, a width of 2.3 meters, and a height of 0.9 meters?
4.968 m³
9.936 m³
11.94 m³
34.86 m³
Answer:
9.936
Step-by-step explanation:
V = Bh
B = base
base = Lengh x width
base = 4.8 x 2.3
base = 11.04
V = 11.04h
H = height
H = .9
V = .9 x 11.04
V = 9.936
Answer:
9.936 m³
Step-by-step explanation:
A yogurt shop offers 25 flavors of frozen yogurt. Evie randomly chooses 3 different flavors for her banana split. What is the probability she chooses chocolate, vanilla, and strawberry?.
The probability of choosing chocolate, vanilla, and strawberry flavor is 1 / 625
What is the probability?Probability determines the likelihood that a random event would happen. The probability the event occurs with certainty is 1 and the probability that the event would not occur with certainty is 0.
The probability of choosing chocolate, vanilla, and strawberry flavor = (1 / 25)³ = 1 / 625
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What is the length of AB?
12 units
10 units
6 units
14 units
Answer:
10 units
Step-by-step explanation:
From the graph,
Coordinates of A = (-7,-6)
Coordinates of B = (1,0)
Distance between two coordinates is given by the formula,
[tex] = > \sqrt{( {x_{2}-x_{1}}^{2} ) + ( {y_{2}-y_{1}}^{2} )} [/tex]
Let A(-7,-6) = (x1 , y1)
B(1,0) = (x2 , y2)
=> AB = √[( 1 - (-7))² + ( 0 - (-6))²]
=> AB = √ 8² + 6² = √ 64 + 36 = √100
=> AB = 10 units
Seth took 30 inches of wire and cut it into
13 inch pieces. How many pieces did he
4
get?
Answer:
he go 2 full 13 in pecies 2.30
Step-by-step explanation:
which point best represents \sqrt{10}
Answer:
Point Q
Step-by-step explanation:
Find the perfect squares that are either side of 10.
Perfect squares: 1, 4, 9, 16, 25, ....
Therefore, 10 is between 9 and 16.
[tex]\implies \sqrt{9} < \sqrt{10} < \sqrt{16}[/tex]
[tex]\implies 3 < \sqrt{10} < 4[/tex]
So √10 is between 3 and 4.
As 10 is closer to 9 than it is to 16, √10 is closer to √9 than √16, which means that √10 is closer to 3.
Therefore, point Q best represents √10
In a post office, the mailboxes are numbered from 1 to 4,500. These numbers represent Group of answer choices quantitative data either categorical or quantitative data categorical data since the numbers are sequential, the data is quantitative
The numbers on the mailboxes represent categorical data.
What is categorical data?Categorical data are also known as qualitative data. It is a type of that can only take on a fixed number of values. An example of categorical data is gender. One can either be a male or a female.
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find the area of the quadrillateral round to the nearest tenth.
Answer:
49.2
Step-by-step explanation:
See the attachment
do all three.. Write the product using exponents.
Answer:
2. [tex]-2^{3}[/tex]
4. [tex]-1.2^{3}[/tex]
6. [tex]-100n^{3}[/tex]
Step-by-step explanation:
hope this helps and is right!! p.s. i really need brainliest :)
PLEASE HELP FAST IM GONNA GET GROUNDED
Vicky has a spinner divided into 9 equal sections that are labeled 1 though 9. She wants to compare the theoretical probability and the experimental probability of spinning an odd number. She spins the spinner 10 times and records the results in this list.
{2, 4, 1, 8, 7, 5, 3, 4, 1, 9}
**Note - There are 3 answers. You must select 3 answers.**
The theoretical probability of spinning an odd number is equal to ______. The experimental probability of spinning an odd number is equal to ______. Therefore, the theoretical probability of spinning an odd number is _____ the experimental probability of spinning an odd number.
Select 3 correct answer(s)
Question 7 options:
1/5
5/9
2/3
3/5
1/2
less than
greater than
The theoretical probability and experimental probability of spinning an odd number is equal to 5/9 and 2/3 respectively. The theoretical probability is less than the experimental probability of this event.
What is theoretical probability?Theoretical probability of an event is the ratio of number of favorable outcome to the total expected number of outcome of that event.
Vicky has a spinner divided into 9 equal sections that are labeled 1 though 9. There are total 5 odd terms. Thus, the theoretical probability of getting odd in ten spins is,
P=5/9
P=0.556
The data of spin 10 times is:
{2, 4, 1, 8, 7, 5, 3, 4, 1, 9}
Here, the odd numbers are 6. Thus, experimental probability of spinning an odd number is,
P=6/9
P=2/3
P=0.667
Thus, the theoretical probability and experimental probability of spinning an odd number is equal to 5/9 and 2/3 respectively. The theoretical probability is less than the experimental probability of this event.
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Name the solution(s) for the system of equations.
Answer:
(1,5)
(-1,3)
Step-by-step explanation:
The solution is in the image
Can the sides of a triangle have lengths 13, 1, and 1?
Answer:
no you cant
Step-by-step explanation:
A group of friends were working on a student film that had a budget of $600. They used $198 of their budget on props. What percentage of their total budget did they spend on props?
A concert is being held in an auditorium that seats 600 people. the balcony seats 50 people and there sre 55 rows in the remainder of thr auditorium how msny chairs are in each row
Answer:
10 seats
Step-by-step explanation:
600-50 = 550
550/55 = 10
PICTURE DOWN BELOW
Jackson paints murals on walls. In order to paint one of his murals, he
needs a rectangular area that is at least 4 feet wide and 3 feet high. The
width and height have to increase by the same amount of feet, x. Which
equation represents all the possible areas for the rectangular murals?
my answer was incorrect. please help!
Answer:
A
Step-by-step explanation:
Evaluate the expression for the given value
Answer: Choice C) 9/16
Reason:
Square the 3 up top to get 3^2 = 3*3 = 9
Square the 4 down below to get 4^2 = 4*4 = 16
When solving inequalities, how do you know when to change the inequality symbol?
When you divide or multiply by a negative number, you must change the direction of the inequality sign. This is because of this rule of inequalities: As you can see, x is originally less than y. But, when it’s multiplied by a negative number, x becomes greater than y. That’s because smaller negative numbers are closer to 0, making them worth more.
Find the distance of an object moving at 6 m/s at 5 seconds. show your solution
Given Information :-
⠀
Speed = 6 m/sTime taken = 5 seconds⠀
To Find :-
⠀
The distance covered in that time interval⠀
Solution :-
⠀
We know that, the formula used to calculate distance , when we are provided with time and speed, is :-
⠀
[tex] ✤ \: \orange{ \underline{ \boxed{ \sf Distance = Speed \times Time}}} \: \star \\ \\ [/tex]
Thus, putting the given values, we will get,
⠀
[tex] \sf \hookrightarrow Distance = \dfrac{6 \: m}{s} \times 5 \: s \\ \\ \\ \sf \hookrightarrow Distance = \frac{6 \: m}{ \cancel s} \times 5 \: \cancel s \\ \\ \\ \sf \hookrightarrow Distance =6 \: m \times 5 \: \: \: \: \\ \\ \\ \sf \hookrightarrow Distance =30 \: m \: \: \: \: \: \: \: \: \: \: \\ \\ [/tex]
Thus, the distance covered in 5 second by that speed is 30 m.
⠀
[tex] \underline{\rule{227pt}{1.5pt}} \\ \\ [/tex]
The largest pyramid at giza is a square pyramid. it has a base of 756 feet and a slant height of 612 feet. which represents the two-dimensional net of this pyramid? a rectangular pyramid. the rectangular base is 756 feet by 612 feet. a square pyramid. the square base has side lengths of 756 feet. the triangular sides have a height of 612 feet. a square pyramid. the square base has side lengths of 756 feet. the triangular sides have a height of 612 feet. the triangles connect to the square by their points. 5 connected triangles with a base of 756 feet and height of 612 feet.
The two-dimensional net of this pyramid is the square base has side lengths of 756 feet. the triangular sides have a height of 612 feet.
What is a pyramid?A square pyramid is a 3-dimensional shape with a square base and 4 triangular faces that are joined at a vertex.
The net of a pyramid is made up of one square and four triangles. The rectangle is the base of the pyramid, and the triangles are the lateral faces.
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the answer is B, or #2. hope this helps. Edgen 2022.
What is the slope of the line containing (-2,9) and (3,-1)?
A. 2
B. -2
C.-1/2
D 1/2
slope is
9-(-1)/-2-3
10/(-5)
=-2
slope is -2
[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
What is the slope of the line containing (-2, 9) and (3, -1)?
[tex]\dashrightarrow\large\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
We can find the slope using the following formula:-
[tex]\boxed{\frac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\bigstar[/tex] substitute the numbers in lieu of the letters:-
[tex]\boxed{\frac{-1-9}{3-(-2)}}[/tex]
[tex]\dagger[/tex] On simplification,
[tex]\boxed{\frac{-10}{3+2}}[/tex]
[tex]\dagger[/tex] On further simplification,
[tex]\boxed{\frac{-10}{5}}[/tex]
[tex]\dagger[/tex] Which simplifies to
[tex]\boxed{Slope=-2}[/tex]
Good luck with your studies.[tex]\rule{300}{1}[/tex]
what is the value of a in the equation 3(a +1.5) = -1.5
AnswerAnswer:
a= -2
Step-by-step explanation
[tex]\huge\underline{\purple {A}\purple{n}\purple {s}\purple {w}\purple {e}\purple {r} ➾}[/tex]
a = –2Step-by-step explanation:
⟿ 3(a + 1.5) = – 1.5Dividing both sides with 3.⟿ 3(a + 1.5)/3 = – 1.5/3⟿ a + 1.5 = – 0.5Subtract –1.5 from both the sides. ⟿ a + 1.5 – 1.5 = – 0.5 – 1.5⟿ a = – 2Hope it helps you!!Plss hellppp. Worth 10 points<3
A person might write a lyric poem if they were:
writing a script for a play
writing a short humorous story
writing a research paper on Shakespeare
writing a poem about someone who has died
Answer:
writing a poem about someone who has died
Step-by-step explanation:
lyric poems are deep, emotional, and powerful, thus the selected option should be best for that
Answer:
The last one
Step-by-step explanation:
please help with this kenken puzzle
Answer:
sorry it took long, got a bit distracted.
About how many moons can fit inside Earth?
Answer: I’m pretty sure 50 moons could fit inside the Earth.
Step-by-step explanation:
Hope this helps, and have a healthy and happy day. :)
7. how many tiles measuring
20cm x 20cm
are needed to tile a bathroom 3.5m long
and 2.8m wide?
Answer:
245 tiles
Step-by-step explanation:
1 meter = 100 cm
Area of bathroom = 3.5m x 2.8m = 350x280 = 9800 cm²
Area of each tile = 20cm x 20cm = 400 cm²
Total number of tiles required = 9800/400 = 245
Note
Strictly speaking we have to find out how many tiles can be fitted in the length and breadth of the bathroom. Since the bathroom is 350 cm wide, we can fit 350/20cm = 17.5 tiles. However, there is no concept of 1/2 tile so the question has an ambiguity. along the width, we can fit 280/10 = 14 tiles
17.5 x 14 = 245 but if the question is reworded to how many tiles do we need to purchase to floor the bathroom it would be 18 x 14 = 252
How do you solve this?
Answer:
EG = 41
Step-by-step explanation:
the 2 base angles are congruent then the triangle is isosceles with the 2 legs being congruent , that is
7x + 9 = 5x + 23 ( subtract 5x from both sides )
2x + 9 = 23 ( subtract 9 from both sides )
2x = 14 ( divide both sides by 2 )
x = 7
then
EG = 6x - 1 = 6(7) - 1 = 42 - 1 = 41
Answer:
EG = 41
Step-by-step explanation:
As two base angles are equal, this is an isosceles triangle and the sides opposite to the equal angles are equal.
7x + 9 = 5x + 23
Subtract 9 from both sides
7x = 5x + 23 - 9
7x = 5x + 14
Subtract 5x from both sides.
7x - 5x = 14
2x = 14
Divide both sides by 2
x = 14/2
x = 7
EG = 6x - 1
= 6*7 - 1
= 42 - 1
EG = 41
What is the area of ΔABC to the nearest tenth of a square millimeter?
Answer:
601sqmm
Step-by-step explanation:
1/2 x AB x AC x sin(79)
= 1/2 x 35 x 35 x sin(79)
= 601.24 sqmm
