Answer:
In 2008.
Step-by-step explanation:
The function:
[tex]y=4.2\sqrt{0.28x-1}[/tex]
Models the annual number of visitors to an amusement park, where y is the number of visitors (in millions) and x is the number of years since 1975.
We want to determine the first year in which the amusement park had 12 million visitors.
So, we will set y equal to 12 and solve for x. This yields:
[tex]12=4.2\sqrt{0.28x-1}[/tex]
By dividing both sides by 4.2, we acquire:
[tex]\displaystyle \frac{12}{4.2}=\frac{120}{42}=\frac{20}{7}=\sqrt{0.28x-1}[/tex]
And by squaring both sides:
[tex]\displaystyle \frac{400}{49}=0.28x-1[/tex]
Adding 1 to both sides produces:
[tex]\displaystyle \frac{400}{49}+1=\frac{449}{49}=0.28x[/tex]
And finally, dividing both sides by 0.28 gives us the approximation:
[tex]\displaystyle x=\frac{449}{49}\cdot \frac{1}{.28}=\frac{11225}{343}\approx32.72\approx33[/tex]
So, 33 years after 1975, the amusement park will have 12 million annual visitors.
Therefore, the first year in which the amusement park will have 12 million annual visitors is in the year 2008.
418/36 as a mixed number
HELP PLEASE
Answer:
11 11/18
Step-by-step explanation: a quick search
-4 > x - 3 find x in the equation
Answer:
X= -1
Step-by-step explanation:
I need help with my wirk
Answer:
50
Step-by-step explanation:
22 is 44% of 50. It's 50 because it's techincally half if you look at it. I don't know how to really explain that well. But the answer is 50, trust me.
I need help on this with solutions please
Answer:
See answers below:
1. AAS2. ASA3. SAS4. HL5. SSS6. ΔABC ≅ ΔDFE7. ΔTRS ≅ ΔTUV8. ΔTRS ≅ ΔSUT9. ΔCAB ≅ ΔFDEHELP ASAP.
WILL GIVE BRAINLIEST
Answer:
yay
Step-by-step explanation:
ty
Tyree and four friends go to the movies. Each person buys a movie ticket for $7, a snack for $5, and a drink for $2. Write an expression for the total cost of the trip to the movies. Then find the total cost.
Answer:
Tyree and all of his friends get 1 ticket for $7. Next they all get 1 snack for $5. Then they all get a drink for $2. So:
1=7
1=5
1=2
Then you take each person (which there are five of then) and you times all five people by 7, 5, 2.
5 x 7=35
5 x 5=25
5 x 2=10
After that you add it all together:
35 plus 25=60
60 plus 10=70
Step-by-step explanation:
your welcome
Answer:
Im not sure if it ment, Tyree and four friends go to the movies. Each person buys a movie ticket for $7, a snack for $5 (meaning only one snack), and a drink for $2. (Meaning only one drink) or if it ment Tyree and four friends go to the movies. Each person buys a movie ticket for $7, a snack for $5 (meaning everyone got a snack), and a drink for $2(meaning everyone got a drink). So i did the math for both of them, if they only got 5 tickets, one snack, and one drink, it would be 42 (the math problem is 35 + 2 + 5). if they got 5 tickets, 5 snacks, and 5 drinks, it would be 70(the math problem is 35 + 25 + 10). Hope this helps!
Which number line shows 1 to 4 divided into fifths?
Answer:
Second option!!!
Step-by-step explanation:
Hope it helps you:)
The feet of a poem can easily be compared to _______.
a heartbeat
footsteps
a musical beat
a drum beat
Answer:
its a heartbeat.
Step-by-step explanation:
sorry for late answer, just answering for any future people.
If degree measures of the angles of A ABC are represented by 3x, x+10,
and 6x, then A ABC must be...
Answer:
30degrees
Step-by-step explanation:
The sum of angles of a triangle is 180
<A + <B + <C = 180
Substitute the given values
3x + x+10 + 6x = 180
10x + 10 = 180
10x = 180-10
10x = 170
x = 170/10
x = 17
Get <A:
<A = 3x
<A = 3(10)
<A = 30degrees
Hence the measure of angle A is 30degrees
I will give you a good amount of points if you answer this correct
Answer:
I think the answer is B. The equation has infinitely many solutions.
Step-by-step explanation:
4(3x + 4) = 15x + 12 - 3x + 4
*group like terms so 4(3x+4) = 15x - 3x + 12 + 4
*add similar elements 15x - 3x = 12x
*add the numbers 12 + 4 = 16
*Expand to 12x + 16 - 16 = 12x + 16 - 16
*You simplify 12x = 12x
*Subtract 12x from both sides
*Then Simplify which is 0
Which means Both sides are equal to 0
True for all X
Pls give the right answers
Pls help
Pls help
Pls help
Answer:
H
Step-by-step explanation:
Because I’m decimal if it is negative the greater the number in negative the less it is
I GIVEEE BRAILILSTTTTTTTT
Answer:
umumumuykik.iu.fg
Step-by-step explanation:
lui;iou;uyfluylfuy;lui;uy;
3 Prove that
cos130°+cos 110+ cos10=0
We know, cos A + cos B = 2cos(C+D)/2 × cos(C - D)/2
So,
cos 130 + cos 110 + cos 10
cos 130 + 2cos (110+10)/2 × cos( 110-10)/2
cos 130 + 2cos 60 × cos 50
cos ( 180 - 50 ) + 2cos60 cos 50
We know, cos ( 180 - A ) = -cos A
2cos 60 cos 50 - cos 50
Also, cos 60 = 0.5
2×0.5 cos 50 - cos50
cos 50 - cos 50
0 = RHS.
Hence proved
1-i need to mix 25% mineral spirits to the varnish i am using what ratio of spirit to varnish am i using? 2-if i use 240 ml of varnish what quantity of mineral spirits will i need in ml ? 3-Robison's tapestries all measure 1.5m x 1m wide. Express the proportion of the tapestries' heights to width using whole numbers. Give the answer in ration.
Answer:
(1) The required ratio of spirit to varnish is 1:3.
(2) You need 80 ml of mineral spirit.
(3) The ratio of tapestries' heights to width is 3:2.
Step-by-step explanation:
(1) If you need to mix 25% mineral spirit to the varnish, then the solution would contain 25% mineral spirit and 75% varnish.
So, [tex]\frac{spirit}{varnish}=\frac{25}{75}[/tex]
[tex]=\frac{1}{3}[/tex]
Thus, The required ratio of spirit to varnish is 1:3.
(2) If you use 240ml of varnish, then this quantity is 75% of the total solution or ration of varnish to the total solution will be 3:4.
Let [tex]x[/tex] be the quantity of total solution.
Then, [tex]240:x=3:4[/tex].
⇒[tex]\frac{240}{x}=\frac{3}{4}[/tex]
⇒[tex]3x=240*4[/tex]
⇒[tex]x=\frac{240*4}{3}[/tex]
⇒[tex]x=320[/tex]
That is, total solution is 320 ml.
Now, Spirit = Total solution - Varnish
⇒Spirit = 320ml-240ml
⇒Spirit = 80ml
Hence, if you use 240 ml of varnish, you need 80 ml of mineral spirit.
(3) Robison's tapestries all measure 1.5m long and 1m wide. First, we express dimensions in whole numbers by multiplying them by 10.
Then, dimensions are 15m long and 10m wide.
Now, Height : Width = 15:10
⇒[tex]\frac{Height}{Width} =\frac{15}{10}[/tex]
⇒[tex]\frac{Height}{Width} =\frac{3}{2}[/tex]
Hence, the ratio of tapestries' heights to width is 3:2.
When using a number line, in which direction should you move when subtracting a negative value?
Answer:
LEFT
Step-by-step explanation:
Answer:
Move to the right when you're subtracting a negative number.
What is the simplified form of (3\4)exponet3 ? Enter your answer as a fraction by filling in the boxes.
Answer:
Calculator to simplify complex fractions; fractions that have numerators and denominators, each of which are a mixed number, fraction, or integer. Solutions are given to solve the complex fraction by LCD multiplication or as Enter Mixed Numbers, Fractions or Integers Reduce fractions where possible163−615=163−25.
Step-by-step explanation:
the food pantry distribution 10 oz bags of rice if 3 5 lb bags are donated to the pantry how many 10 ounce bags can be made
Answer:
24 bags can be made from three 5 pounds bags.
Step-by-step explanation:
Given that:
Three 5 pound bags are donated.
Total weight of bags = 3*5 = 15 pounds
We know that:
1 pound = 16 ounces
15 pounds = 16*15 = 240 ounces
A bag weighs 10 ounces.
Number of bags = [tex]\frac{240}{10}[/tex]
Number of bags = 24 bags
Hence,
24 bags can be made from three 5 pounds bags.
Find the missing value in the percent statement using a proportion.
______ is 75% of 4.
Answer: 3
Step-by-step explanation: Hope I helped
Which of the following represents the sum 4+8? Assume that red tiles represent negative numbers and blue tiles
represent positive numbers.
A.four blue tiles plus eight blue tless
B.four blue files plus eight red tiles
C.four red tiles plus eight red tiles
D.four red tiles plus eight blue tiles
Answer:
A.
Step-by-step explanation:
Both are positive values, so it's just four blue plus eight blue.
Find the arc length of the semicircle. 8
Answer:
π×8² =
201.0619298297
arc length formular = π ×r²
A standard train ticket in a certain city costs $1.50 per ride. People who use the train also have the option of purchasing a frequent rider pass for $17.25 per month. With the pass, a ticket costs only $0.75 per ride. How many train rides a month make the frequent rider pass a better deal than standard train tickets?
Just off the bat 17$is 12 rides and then 17.25 +0.75 is 18 so 13 rides
what is x i need it done soon
Answer:
C. 65
Step-by-step explanation:
All the angles in a triangle add up to 180 degrees.
180-62-53 = 65
Can someone tell me how to do a transversal angle measurement with steps and angles
Answer:
Sorry I am not sure but when I figure it out..... I prolly won't
Step-by-step explanation:
Answer:
When two lines are cut by a transversal, the pairs of angles on one side of the transversal and inside the two lines are called the consecutive interior angles . If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary
Step-by-step explanation:
Question 16 please help me
Look at at pic attached! Pls hurry :( 21 points
Answer:
C option
Step-by-step explanation:
bcz root of 121 is 11. then 2/3 +11 will give you a rational number.
Answer:
2/7 + square root of 121 (the third one)
Step-by-step explanation:
a rational number is a number where if you write it as a fraction, both the numerator and denominator are integers (numbers like 1 and 2 but not like 3.4 or 5.6)
the equation simplified a bit looks like this:
2/7 + 11/1
anddd so all the numbers are integers which means that expression is correct :3
Write an expression that represents the number of shells in pile 2.
Answer:
2
Step-by-step explanation:
4/2=2
Which expression represents "8 times the difference of 52 and 9"?
Answer:
(52-9)*8
:):):):):):)
pls make me brainliest!!!
Answer:
8(52-9)=
8x41=
328
Step-by-step explanation:
Find the area of a circle with a diameter of \color{green}{16}16start color green, 16, end color green.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.
units^2
2
Answer:
64π
Step-by-step explanation:
no
Kenny drank 37 ounces of milk during the
day. How many cups of milk did he drink?
Answer:
4.625
Step-by-step explanation:
that is the answer
800 adults were surveyed to find out how many notes per week they cook dinner 60% indicated that they cooked dinner more than four nights at per week based on the results of the survey how many adults out of a group of 2000 to cooked dinner more than four nights per week
Answer:
1200
Step-by-step explanation:
60 x
- = -
100 800
There are 2 ways to solve this.
1) 800 x 60= 48,000
Divide by 100= 480
x=480
2) Multiply 60 by 8.
Now there are another 2 ways to go.
1) 480 x
- = -
800 2000
OR2) 60 x
- = -
100 2000
I recommend the second option for both. It is easier. The second option allows you to find and equal ratio, with less of the hassle.To get 2000, 100 must be multiplied by 20. So.... multiply 60 by 20 to get a equal ratio.
Your answer is 1200. Meaning 1200 adults cooked dinner more than four nights per week.
I hope this helps you significantly
~~~LampteyJ
Answer:
1200
Step-by-step explanation:
