Answer:
28.7 feet
Step-by-step explanation:
The equation of a parabola is in the form:
[tex]\frac{x^2}{a^2}+ \frac{y^2}{b^2}=1\\ \\where\ (\pm a,0)=major\ axis,(0,\pm b)=minor\ axis[/tex]
The bridge can be represented as:
Since the width of the bridge is 82 feet, therefore 2a = 82, a = 41
[tex]\frac{x^2}{41^2} +\frac{y^2}{b^2}=0\\ \\The\ point\ (9,28)\ lie\ on \ the\ ellipse\ hence\ substituting:\\\\\frac{9^2}{41^2} +\frac{28^2}{b^2}=1\\\\0.048+\frac{28^2}{b^2}=1\\\\\frac{28^2}{b^2}=1-0.048=0.952\\\\b^2=824\\\\b=\sqrt{824}\\ \\b=28.7 \\\\[/tex]
The arch is 28.7 feet from its center
Anthony answered 76% of the questions on his math test correctly. There were 50 questions on the test. How many questions did Anthony answer correctly?
Which inequality is represented by this graph?
Answer:
y≤-1/3x+1
Step-by-step explanation:
Rise/run, aka the slope, would be 1/3 because you move down/up one, and to the side 3. It is -1/3 because the line is going up to down.
Since the y-intercept is 1, you would be adding 1 to the end of the equation.
Subtract (4x – 1) from 4(5x + 7)
Answer:
2
Step-by-step explanation:
What is the greatest common factor (GCF) of 72, 84, and 100?
Select one:
A. 25
B. 14
C. 12
D. 4
Answer: 4
Step-by-step explanation: 25 doesnt go into 72 or 84, 14 doesnt go into 100, and 12 doesnt go into 100
Write three expressions that are equivalent to 70 -5 .
1. 30+35
2. 60+5
3. 66-1
Can I get an answer ASAP? Mark you as the brainiest
(b + –2) + 2
FIRST ONE CORRECT AND FIRST GETS BRAINLY.look at picture answer all questions.
Answer:
0,0
1,0.5
2, 1
3,1.5
4,2
Step-by-step explanation:
Bianca starts the school week with $20 lunch money. She spends $1.50 a day on lunch. Write an equation that represents this situation.
Answer:
y = 20- 1.50x
Step-by-step explanation:
x represents each day.
4. Marlene purchases dollars worth of stock on her broker's advice and pays her
broker a 1.5% broker fee. She sells her stock when it increases to y dollars two
years later, and uses a discount broker who charges $21 per trade.
A. Express Marlene's net proceeds algebraically.
Answer:
y - 1.015x - 21
Step-by-step explanation:
Given that:
Let worth of stock = x
Broker fee = 1.5% of x = 0.015x
Total cost incurred to purchase stock = x + 0.015x = 1.015x
Worth of stock after 2 years = y
Broker fee = $21 per trade :
Amount Realized from sale = y - $21
Net proceed = Amount Realized from sale - cost incurred to purchase
= (y - 21) - (1.015x)
= y - 21 - 1.015x
= y - 1.015x - 21
Two containers are leaking water.Container A Leaked at a rate of 2/3 a gallon every 1/4 an hour. Container B leaked at a rate of 3/4 a gallon every 1/3 an hour. Which container is is losing water faster?
Answer:
container A is losing water faster
Step-by-step explanation:
Given;
the rate of water loss in container A = 2/3 a gallon every 1/4 an hour
the rate of water loss in container B = 3/4 a gallon every 1/3 an hour
Determine the rate of water loss for each container;
Container A:
Volume of water loss, V = 2/3 a gallon
time of water loss, t = 1/4 an hour = 15 minutes
rate of water loss, Q = V/t
[tex]Q = (\frac{2 }{3}\ gallon) *(\frac{1}{15 \ mins} )\\\\Q = \frac{2}{45}(\frac{gallon}{mins}) = 0.0444 \ gpm[/tex]
Container B:
Volume of water loss, V = 3/4 a gallon
time of water loss, t = 1/3 an hour = 20 minutes
rate of water loss, Q = V/t
[tex]Q = (\frac{3}{4} \ gallon)*(\frac{1}{20 \ mins})\\\\Q = \frac{3}{80} (\frac{gallon}{mins}) = 0.0375 \ gpm[/tex]
The rate of container A is higher than container B, thus container A is losing water faster
The length of a book cover is 28.3 cm and the width of the book cover is 21 cm. What is the minimum width?explain
Answer:
The minimum width of the book = 20.9 cm
Step-by-step explanation:
The length of the book cover = 28.3 cm
The width of the book cover = 21 cm
Given that the uncertainty in measurement should be included due to the likelihood of error in measurement, the uncertainty in measurement can be presented as follows;
Measurement = (Best estimate + Uncertainty) units
Whereby the display of the measuring device is limited to one decimal place, we can have the measurement of the width, w, as follows;
Width of the book = (21 ± 0.1) cm
The range of the width of the book is therefore 20.9 cm to 21.1 cm
The minimum width of the book = 20. cm
3. A random survey of the quality of Raleigh city parks is taken. Sixty-five percent of the people surveyed were pleased with the condition of the parks. If 280 people were surveyed, then how many were pleased?
Answer: 182 people
Step-by-step explanation:
The following can be deduced from the question:
Number of people surveyed = 280
Percentage of people pleased = 65%
The number of people that were pleased will be:
= Percentage of people that were pleased × Number of people surveyed
= 65% × 280
= 65/100 × 280
= 0.65 × 280
= 182
182 people were pleased with the condition of the park
7 4/5 ÷ 1 11/15 Multiplying and dividing mixed numbers
Answer:
I couldn't comment on the last one I answered but the app is called (m a t h w a y) its free and it does help a lot. brainly won't let me say the name on here.
Three rooms have doors that are labelled "Unicorns", "Radioactive Dragons", and "Unicorns and Radioactive Dragons". You know that each door is incorrectly labelled. You are allowed to peek inside only one of the rooms exactly once, and then you have to make a decision.
Answer:
I will peek into one room and see if there is dragon, a unicorn or both present and then name the doors accordingly.
Step-by-step explanation:
The logic puzzle aims to create smart intelligence in kids. The three doors are wrongly labelled. If the door name is unicorn then there cannot be a dragon inside the door and if the door name is dragon then both cannot be present inside the door.
Can someone please help me ?
Answer:
D
Step-by-step explanation:
Since it is 28 meters deep, it would be -28. And it increases 0.012 meters per minute, and time is t, so that would be 0.012t. So the equation is 0.012t - 28 = 30.
Line KM is the same as. Helppp
Answer:
XZ
Step-by-step explanation:
They are th same lie but on different triangles
Answer:
xz
Step-by-step explanation:
Plot the points in a coordinate plane. Then determine whether AB and CD
are congruent
A(-2, 1), B(2, 1), C(3, 2), D(3, -2).
Plz help ASAP
Answer:
need more info bro
Step-by-step explanation:
HELP AND GET BRAINLY 20 PTS
Answer:
4
Step-by-step explanation:
it crosses at 4
Answer:
C. 4
Step-by-step explanation:
The Y-intercept of a line is where the line intersects with the y-axis, it is also when x=0. To find the intercept simply go along the axis until you run into the line, in this case, you hit the line when y=4. If the intercept is not shown on the graph you can use the slope-point equation and then simplify for the intercept.
2y+7=19 solve for y help me please
Answer:
y=6
Step-by-step explanation:
if 19-7=12 then, 12÷2=6
Step-by-step explanation:
[tex]2y + 7 = 19 \\ 2y= 19 - 7 \\ 2y = 12 \\ \\ y = \frac{12}{2} = 6[/tex]
Given mn, find the value of x.
(x+14)
(9x-4)
Answer:
Step-by-step explanation:
espera y termino y te ayudo vale que me falta poco
are these equations equivalent?
No, They aren't.
........
Can somebody help with grade6 math plzzz?
Answer:
Sure qhat is the question
PLEASE HELP I WILL GIVE BRAINLEIST
Answer:
1. b 2. b 3. c 4. a 5. c
Step-by-step explanation:
hope this helps! i can give an explanation if needed
Answer:
What he said
Step-by-step explanation:
SUPER EASY PLEASE HELP
What is the volume of this cube
Step-by-step explanation:
We can calculate the volume of a cube by calculating the edge's third power
1^3 = 1 ft^3
Choose all of the expressions that are equivalent to 2 1/2 divide by 1 2/6
A. 5/2 x 6/8
B. 2/5 x 6/8
C.1 2/6 divided by 2 1/2
D.5/2 divided by 8/6
Answer:
A
Step-by-step explanation:
5/2 x 6/8 is thecorrect answer
Answer:
A and D I think
Step-by-step explanation:
The Fun Guys game rental store charges an annual fee of $5 plus $5.50 per game rented. The Game Bank charges an annual fee of $17 plus $2.50 per game. For how many game rentals will the cost be the same at both stores? What is that cost?
4 games: $27
6 games: $38
3 games: $22
2 games: $16
Answer:
For 4 games, and $27
Step-by-step explanation:
5 + 5.5g = t
17 + 2.5g = t
plug em in:
4 games : for the first one you get $27, for the second one you get $27, you dont have to work the other ones out because the first one came through:
5+5.5(4) 17+2.5(4)
5+22 17+10
27 27
can i get a thanks and brainliest please?
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solve the system by Elimination x+8y=0 -4x-10y=22
Answer:
y = 1, x = -8
Step-by-step explanation:
[tex]x + 8y = 0\\-4x - 10y = 22[/tex]
we can multiply the top equation by 4 and cancel out the x's
[tex]4x + 32y = 0\\-4x - 10y = 22\\22y = 22\\y = 1[/tex]
[tex]x + 8(1) = 0\\x = -8\\-4(-8) - 10(1) \\32 - 10 = 22\\[/tex]
11. Find the area of the rectangle contained within the following four lines
x =1, x = -2 , y= -3, y=2
Please help with this question please
Answer:
Input 2.0 2.0 10 Type here to search O מחר Input 2.0 2.0 10 16 10.0 7.0 where, First two lines represent value x and y respectively which is a center of the custom rectangle. • Third and fourth lines represent height and width of the custom rectangle respectively. Fifth and sixth lines represent x and y coordinates of a point to be which ...
Step-by-step explanation:
Kelsey has to pay $200 to rent a booth at the craft fair. The materials for each pendant cost $7.80, and she plans to sell each pendant for $13.50. To make a profit, she must make more money than she spends. Kelsey has already made 10 pendants.
Part C
It takes Kelsey 5 hours to make 12 pendants. If she works 8 hours per day for 3 days before the craft fair, can she make enough additional pendants to sell so that she can make a profit of at least $50? Explain.
Step-by-step explanation:
Let's calculate how much she will spend:
She has to pay $200 for the rent.
She made 10 pendants that costed $7.80 each, that's a total of 10*$7.80 = $78.
Therefore, she will spend $200 + $78 = $278.
Let's define x as the amount of pendants she makes.
To make a profit, the amount of pendants she makes, multiplied by $13.50 that is the price, has to be greater than $280 added to the amount of pendants she makes, multiplied by $7.80 that is the cost.
We write that as
13.50x > 280 + 7.80x
Let's subtract 7.80x on both sides:
13.50x -7.80x > 280 + 7.80x - 7.80x
5.70x > 280
Now we divide by 5.70 on both sides:
5.70x/5.70 > 280/5.70
x > 49.1
To make profit, she needs to make and sell more than 49 pendants.
What is the answer to 9+9+9+5=
32 is the answer I am writing more so I have enough characters to submit
Answer: The answer to this basic math question with the given basic math expression is 32.
Step-by-step explanation: Mmmm, that was extremely easy, so anyway, here are 4 basic steps in order to evaluate the given basic expression:
Step 1. First, let's input the original basic equation that looks in the basic equation form like this: [tex]9+9+9+5.[/tex]
Step 2. After we input the original basic equation, next, let's add 9 and 9 that looks in the basic equation form like this: [tex]18+9+5.[/tex]
Step 3. Then, after we add 9 and 9, let's add 18 and 9 that looks in the basic equation form like this: [tex]27+5.[/tex]
Step 4. Last but not least is after we add 18 and 9, finally, let's add 27 and 5 altogether, and therefore your answer to this basic math question with the given basic math expression is 32.
I hope that my full given answer with my full given step-by-step explanation is very helpful to your own basic math question with the given basic math expression, please mark me as Brainliest, take care, always be safe, and have a great rest of the day and good night! :D
Sincerely,
Jason Ta,
The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.