Answer: there were 50 guests
Step-by-step explanation:
What is m + 5n where m = 1 and n = 5?
CHOOSE THE RIGHT ANSWER:
A. 26
B. 52
C. 25
D. 62
HELP! (T^T)
Answer:
A. 26
Step-by-step explanation:
substitute the number in for the variables (letters).
[tex]m + 5n \\ \\ 1 + 5(5) \\ 1 + 25 \\ 26[/tex]
In the penny game exercise, why do you think it takes longer for one person to flip five batches of two pennies then one batch of ten pennies
It takes longer for one person to flip five batches of two pennies than one batch of ten pennies, mainly for a simple reason: although 5 x 2 is equal to 10, that is, it will take the same time to flip the coins, 5 batches is greater than 1 batch, which will take longer to manipulate each of these, increasing the total time.
Learn more about maths in https://brainly.com/question/21477139
Lyra is designing a model of a solar system with a planet and a comet. The planet has a circular orbit, centered at the origin with a diameter of 100. The comet follows a parabolic path with directrix x = 70 and vertex at (60, 0).
Part A: Write the equation of the planet's orbit in standard form. Show your work. (2 points)
Part B: Write the equation of the comet's path in standard form. Show your work. (4 points)
Part C: Identify all points where the planet's orbit intersects the path of the comet. Show your work and round answers to the hundredth place. (4 points)
The equation of the circular orbit and the parabolic path of the comet are
given by the center, diameter, vertex, and directrix.
Part A: The equation of the planet's orbit is; x² + y² = 50²
Part B: The equation of the comet's orbit is; [tex]\underline{x = -\dfrac{y^2}{280} + 60}[/tex]
Part C: The planet's orbit and the comet's path do not intersect.
Reasons:
Part A: The center of the orbit = The origin (0, 0)
The diameter of the orbit = 100
Therefore;
[tex]Radius \ of \ orbit = \dfrac{100}{2} = 50[/tex]
The radius of the planet's orbit, r = 50
The equation of a circle with center (h, k) is; (x - h)² + (y - k)² = r²
Therefore, the equation of the circle is (x - 0)² + (y - 0)² = r²
Which gives;
x² + y² = 50²
Part B: The directrix of the parabolic path is x = 70
The vertex = (60, 0)
Therefore, -p = 70
[tex]The \ equation \ is \ x = \dfrac{1}{4\cdot p} \cdot (y - k)^2 + h[/tex]
Which gives;
[tex]The \ equation \ is \ x = \dfrac{1}{4\times (-70)} \times (y - 0)^2 + 60 = -\dfrac{y^2}{280} + 60[/tex]
[tex]x = \mathbf{ -\dfrac{y^2}{280} + 60}[/tex]
The equation of the comet's path in standard form is [tex]\underline{x = -\dfrac{y^2}{280} + 60}[/tex]
Part C: At the point where the path intersect, we have;
[tex]x^2 = \left( -\dfrac{y^2}{280} + 60 \right)^2[/tex]
Therefore;
[tex]\mathbf{\left( -\dfrac{y^2}{280} + 60 \right)^2} = 50^2 - y^2[/tex]
Let y² = a, we get;
[tex]\left( -\dfrac{a}{280} + 60 \right)^2 = 50^2 -a[/tex]
a ≈ -2015.693 and a ≈ -42784.31
y ≈ √(-2015.693) or y ≈ √-42784.31) (imaginary numbers)
The planet's orbit does not intersect the path of the comet.
Learn more here:
https://brainly.com/question/20743199
Plss help me! I’m so confused! Brainlist! Pls no links and deleting!
$60
Step-by-step explanation:
The unit rate can be determined by dividing $24 by 8 attendees to get
[tex]\dfrac{\$24}{8\:\text{attendees}} = \$3/\text{attendee}[/tex]
so when 20 people are attending the graduation picnic, his total cost is going to be
[tex]20\:\text{attendees}×\dfrac{\$3}{\text{attendee}} = \$60[/tex]
Help ASAP Homework Due Tomorrow
Answer:
Its definitely D
Step-by-step explanation:
Your welcome ♀️
Write (-3,-9) and (4,-2) in slope intercept form
Answer:
Slope intercept form is y = x - 6 (you don't write 1 in front of x in this case btw)
Slope = 1
Y-intercept = -6
Step-by-step explanation:
Slope intercept form looks like this y=mx+b, where m is slope and b is y-intercept.
To find slope, we will do y2 - y1 over x2 - x1.
This is how coordinates are written btw (x,y)
So we will do:
-2 - (-9) = -2 + 9 = 7
4 - (-3) = 4 + 3 = 7
Since 7/7 is the same as 7÷7, the slope is going to be 1. (It's also a positive slope btw)
Now, in order to find what the y-intercept is, you should use the point slope formula⤵⤵⤵:
[tex]y - y _{1} = m(x - x _{1})[/tex]
We'll use point (4,-2) for this:
y + 2 = 1 (x - 4)
Now we solve:
Distribute the 1 among everything inside the parenthesis to get y + 2 = x - 4, then subtract 2 on both sides to get y = x - 6.
Hope this helps :)
WILL GIVE BRAINLIEST
(5x-7)
(10x-32)
14
the perimeter of the pictured triangle is _____ in.
By converse of isosceles triangle theorem:
5x - 5 = 10x - 32
add 32 and -5x at both sides
27 = 5x (divide 5 both sides)
x = 5.4
5(5.4) - 5 = 27 - 5 = 22 inches
22 + 22 + 14 = 58 inches
PASSCODE DECODER RING SHRI o If it takes 6 hours to bake 3 cakes, then at that rate, how many cakes could be baked in 12 hours? If Ava makes $15 in 2 hours, what is her rate of pay? 3nt took 5 hours to mow 6 yards. At that rate, how many yards can be mowed in 20 hours? co malaya $ o 94 If 10 bags of ice cost $12, how much does 1 bag cost? 5 A car gets 30 miles per gallon of gas. At that rate, how many gallons would it take for the car to go 360 If you type 75 words in 3 minutes, at what rate do you type? RECORD PASSCODE Directions Complete the questions, match each answer on the decoder eing, med record the letter from that spot When complete, go back to The Nission page te access the posscode reader to check your answer and solve another part of the mystery
The rate is a fraction that compares the values of two quantities. The expected answers to the questions are given below:
1. Given that 3 cakes takes 6 hours to bake, then:
1 cake = [tex]\frac{6}{3}[/tex]
= 2 hours
So that;
the number of cake to be baked in 12 hours = [tex]\frac{12 hours}{2 hours}[/tex]
= 6
The number of cake to be baked in 12 hours is 6.
2. Ava's rate of pay = [tex]\frac{15}{2}[/tex]
= $7.5 pr hour
Thus Ava's rate of pay is $7.5 per hour.
3. It took 5 hours to mow 6 yards. Thus;
To mow 1 yard = [tex]\frac{5}{6}[/tex] hours
The number of yards to be mowed in 20 hours = 20 ÷ [tex]\frac{5}{6}[/tex]
= 20 x [tex]\frac{6}{5}[/tex]
= 24
The number of yards to be mowed in 20 hours is 24.
4. Given that 10 bags of rice cost $12, then;
1 bag = [tex]\frac{12}{10}[/tex]
= 1.2
1 bag = $1.2
The cost of a bag of rice is $1.2.
5. Rate = 30 miles per gallon
The number of gallons required = [tex]\frac{360}{30}[/tex]
= 12
Thus 12 gallons would be required by the car to travel 360 miles.
6. Rate = [tex]\frac{75}{3}[/tex]
= 25
Rate = 25 words per minute
The typing speed is 25 words per minute.
For more on rate, check: https://brainly.com/question/119866
how do i do 3 5/6 - 2 7/15?
Answer:
don't know don't know don't know don't know don't know don't know don't know
Step-by-step explanation:
don't know don't know don't know don't know don't know don't know don't know don't
Which is the best estimate of the distance between the point (–25, 10) and the origin? 8 units 15 units 23 units 27 units
Answer:
27 units
Step-by-step explanation:
I don't think that diagonals count so I think it is 27 units.
Tell me if I'm wrong :)
1. BC=DA
how do i find the reason
Answer:
sounds like you're doing a geometry proof. First ask yourself if you believe BC=DA... then ask yourself why do you believe or know it to be true. keep challenging yourself until you find the reason.
Circumference and area of a circular piece of glass
Answer:
Area = πr²
Circumference = 2πr
You can use pie as both 22/7 Or 3.14
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
I have more question
Answer:
you would need three wholes because each whole would represent a loaf of pumpkin bread
Write an equation with slope of -2 and goes through the point (-3,7)
Answer:
y = -2x + 1
Step-by-step explanation:
Substitute the slope and the given point into y = mx + b and solve for "b".
y = mx + b
7 = -2(-3) + b
7 = 6 + b
1 = b the y-intercept is 1
The equation of the line is y = -2x + 1
Using 7 what is the angle measure represented by the expression (2x+45)°?
PLEASE HELP ITS URGENT
If you plug 7 as x into:
(2x+45)
then you get
(2(7)+45)
(14+45)
(59)
Can someone please explain to me how to solve this?
Will give brainly if you answer the question
Answer:
D.12
Step-by-step explanation:
College brother told me its 12 which is D.
Answer:x=1
Step-by-step explanation:
what is 3a² bc
² if a= 2 b =3 c =4
Answer:
If a=2, b=3, c=4,
3a²bc = 3(2)²(3)(4)
= 3×4×3×4
= 12²
= 144
Answer:
the answer is 144
Step-by-step explanation:
3a²bc
=3×2×2×3×4
=3×4×12
=12×12
=144
A physical therapist wants to determine the difference in the proportion of men and women who participate in regular sustained physical activity. What sample size should be obtained the wishes the estimate to be within three percentage points
with 90% confidence, assuming that
(a) he uses the estimates of 21.3% male and 19.5% female from a previous year?
(b) he does not use any prior estimates?
(a)n (Round up to the nearest whole number)
(b) (Round up to the nearest whole number.)
Using the z-distribution and the formula for the margin of error, it is found that:
a) A sample size of 54 is needed.
b) A sample size of 752 is needed.
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
90% confidence level, hence[tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so [tex]z = 1.645[/tex].
Item a:
The estimate is [tex]\pi = 0.213 - 0.195 = 0.018[/tex].
The sample size is n for which M = 0.03, hence:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.645\sqrt{\frac{0.018(0.982)}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.645\sqrt{0.018(0.982)}[/tex]
[tex]\sqrt{n} = \frac{1.645\sqrt{0.018(0.982)}}{0.03}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.645\sqrt{0.018(0.982)}}{0.03}\right)^2[/tex]
[tex]n = 53.1[/tex]
Rounding up, a sample size of 54 is needed.
Item b:
No prior estimate, hence [tex]\pi = 0.05[/tex]
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.645\sqrt{\frac{0.5(0.5)}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.645\sqrt{0.5(0.5)}[/tex]
[tex]\sqrt{n} = \frac{1.645\sqrt{0.5(0.5)}}{0.03}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.645\sqrt{0.5(0.5)}}{0.03}\right)^2[/tex]
[tex]n = 751.7[/tex]
Rounding up, a sample of 752 should be taken.
A similar problem is given at https://brainly.com/question/25694087
Choose the end behavior of the graph of each polynomial function
Answer:
D, A, B
Step-by-step explanation:
The sign of the leading coefficient always tells you the end behavior on the right: positive = rises; negative = falls.
The degree of the polynomial tells you how the left- and right-end behaviors compare: even = they are the same; odd = they are opposites.
__
A) negative leading coefficient, even degree:
falls to the left, falls to the right (D)__
B) positive leading coefficient, odd degree:
falls to the left, rises to the right (A)__
C) negative leading coefficient, odd degree
rises to the left, falls to the right (B)what is 10 2/1 divided by 2 1/4
Answer:
5.3 but the three is repeated
Step-by-step explanation:
Answer:
[tex]10 \frac{2}{1} \div 2 \frac{1}{4 } = \frac{48}{9} [/tex]
Penjelasan
[tex]10 \frac{2}{1} = \frac{12}{1} [/tex]
[tex]2 \frac{1}{4} = \frac{9}{4} [/tex]
[tex] \frac{12}{1} \div \frac{9}{4} = \frac{12}{1} \times \frac{4}{9} = \frac{48}{9} [/tex]
Then the answer is 48/9
------------------------------------------
[tex] \green{ \boxed{ \boxed{ \sf{Lusi \: Adriana} } } } [/tex]
What do you call raising a base to the exponent 2
Answer:
Squaring
Step-by-step explanation:
Ali’s cow gives 2 1/4 gallons of milk each day. How much is this in quarts? Write your answer as whole number or a mixed number In simplest form. Include the correct unit in your answer.
Answer:
9 quarts
Step-by-step explanation:
Estimate 5,924 ÷ 33 =
please this is all I ask is what is this?
I need it ASP
Answer:
179.6 (Estimated)
Step-by-step explanation:
5,924 ÷ 33 = 179.6 (Estimated)
Hoped this helped.
Answer:
5,924 ÷ 33 = 179.6 (in estimated form)
Step-by-step explanation:
5,924 divided by 33 equals 179.515151515.
Since 179.515151515 is not in estimated form, this can't be the correct answer.
Since we see that 51 is repeating, this allows us to determine whether we can round this up or not.. And we can!
179.515151515 → 179.6
Since 51 was repeating, we could round it up.
Therefore, 179.6 is your final answer.
Hope this helps! :D
(Can you mark me brainliest? It is greatly appreciated!)
- ♥ 7272033Alt ♥
You are playing a game where you draw a card from a standard deck, and you will win $13 if you draw a face card,
$3 if you draw an ace and lose $5 if you draw any other card. What is the expected gain from this game?
Round your final answer to the nearest cent.
Answer:
Step-by-step explanation:
win
There are 3 face cards / suit. Every suit contains a Jack, Queen, and king.
There are 4 suits so the number of face cards is 3*4 = 12
There is 1 ace / suit
There are 4 suits so the number of aces is 1 * 4 = 4
The gain from the face cards = 12 * 13 = 156
The gain from the aces = 4 * 3 = 12
Total gain = 168
Losses
Any other card costs you $5
How many cards is that? 52 - 16 = 36
Each one costs 5 dollars
Total loss = 5 * 36 = 180
So each time you play the game, you can expect to lose 180 - 68 = 12 dollars. You should walk away quickly from this one.
write this number in expanded form three hundred thirty nine thousand six
Answer:
339,006
Step-by-step explanation: i think
Answer:
300,000 + 30,000 + 9,000 + 6
Step-by-step explanation:
hope this helps. . . <3
good luck! UwU
GIVING OUT BRAINLIEST!!
Answer:
Jill plz tell if i am right
Step-by-step explanation:
give me schoology website
ed says a decimal grid shows 10 tenths monica says a decimal grid shows 100 hundredths who is correct explain PLEASE HELP I NEED TBIS DONE IN 30 minutes
Answer:
will i need a picture but its probably 10 count by 5s
Step-by-step explanation:
Paul received a bonus of $750, which was 5% of his annual salary. His annual salary is a. A$37,500 b. $25,000 c. $22,500 d. $15,000 e. $7,500
what is The greatest common factor of 42 and 96? I need it to be broken down for me to understand. thanks
Answer:
GCF is 6
Step-by-step explanation:
42 :
2 | 42
3 | 21
7 | 7
| 1
; 42 = 2 x 3 x 7
96 :
2 | 48
2 | 24
2 | 12
2 | 6
3 | 3
| 1
; 96 = 2 x 2 x 2 x 2 x 2 x 3
here, common factors are 2 x 3 = 6
Hence, the GCF of 42 and 96 is 6.
100 raspberries weigh 40 grams. if there is a proportional relationship between raspberries and weight, how many raspberries does it take to weigh 100 grams
Answer:
250 raspberries
Step-by-step explanation:
So if 100 raspberries weigh 40 grams, each raspberry weighs 40/100 grams, which is 4/10 of a gram. so, you need to do 100/ 4/10=250