12) Amusement Parks A thrill ride at an amusement park carries riders 160 feet straight up and then releases them for a free fall. The time t in seconds that it takes an object in free fall to reach the ground is t =
[tex] \sqrt{ \frac{d}{16} } [/tex]
where d is the distance in feet that it falls. How long does it take the riders to reach the ground? Give your answer as a radical expression in simplest form. Then estimate the answer to the nearest tenth of a second.
Answer:
sqrt(10)
Step-by-step explanation:
sqrt(160)/16
sqrt(16)sqrt(10)/sqrt(16)
4sqrt(10)/4
sqrt(10)
Find the solution to the following: *
Enter your solution in the following format x = solution. (Ex: x = 5)
8x+10=2(4x+5)
Find the solution to the following: *
Enter your solution in the following format x = solution. (Ex: x = 5)
3x-8=2(x-4)
Answer:
First one: x = all real numbers
Second one: x = 0
Step-by-step explanation:
for the first one
given 8x+10=2(4x+5) we need to isolate the variable (x) using inverse operations
step 1 distribute the 2 to what is in the parenthesis ( 4x and 5 )
2 * 4x = 8x
5 * 2 = 10
now we have 8x + 10 = 8x + 10
step 2 subtract 8x from each side
8x - 8x = 0
8x - 8x = 0
now we have 10 = 10
subtract 10 from each side
10 - 10 = 0
10 - 10 = 0
we're left with 0 = 0 meaning that all real numbers are solutions
For the second one
given 3x-8=2(x-4) once again we need to isolate the variable using inverse operations
step 1 distribute the 2 to what is in the parenthesis (x - 4)
2 *x = 2x
2 * -4 = -8
now we have 3x - 8 = 2x - 8
step 2 add 8 to each side
-8 + 8 = 0
-8 + 8 = 0
now we have 2x = 3x
step 3 subtract 2x from each side
3x - 2x = x
2x - 2x = 0
we're left with x = 0
What is 1 + ( -2/3) - ( -9/2)
Answer
29/6 or 4 5/6
Step-by-step explanation:
1. Find a common denominator
2. Common denominator is 6 Remember - multiply by a - gives you a positive.
3. Rewrite 6/6 -4/6 +27/6
4. Add the numerators together to get 29
5. Answer is 29/6 or as a mixed number 4 5/6
If m1 = 31° and m2 = 94°, what is m3?
Answer:
27
Step-by-step explanation:
bc m1=31 and m2=29 you subtract 31-29and it is 27
If it is -31°F in one city and in another city it is
83°, what is the temperature difference
between the two cities?
Answer:
52 degrees apart
Step-by-step explanation:
Complete the system of linear equations so that there are infinitely many solutions.
Y= -3/5x + 2
blank x+ blank y=20
PLEASE HELPPPPPPP WILL GIVE BRAINLIEST
Answer:
y-intercept:
(0,2) or just -3/5
Step-by-step explanation:
Answer:
3x + 5y = 2
Step-by-step explanation:
y = -3/5 x + 2
multiply both sides by 5
5y = -3x + 2
add 3x to both sides
3x + 5y = 2
note: if it really has to be equal to 20, then multiply both sides by 10, which will result in 30x + 50y = 20
Im practicing for a state test im taking- i am a 7th grader doing 9th grade algebra because well yeah im smort- anyways- my teacher and all of us thought the answer was 40% but it wasnt she gave us the answer of 62.5%- she wants us to explain how she got that answer can anyone help me.
Answer:
62.5%
Step-by-step explanation:
the question is worded weirdly but basically since they're saying "given that a state does not use nuclear power", you can ignore the ones that do use nuclear power.
20 + 12 = 32
and then u have to find the percentage that do use coal (20). to do that all you have to do is divide then move the decimal place backwards 2 times
20 ÷ 32 = 0.625
62.5%
The area of a room is 425 square feet. The length is (x+9) feet and the width is (x+1) feet. Find the dimensions of the room.
Answer:
width is 17
length is 25
Step-by-step explanation:
(x+9)(x+1) =[tex]x^{2}[/tex] + 10x + 9 = 425
[tex]x^{2}[/tex] + 10x - 416 = 0
(x-16)(x + 26) = 0
x = 16 or x = -26
x cannot be -26
x = 16
so, (16 + 1) = 17
(16 + 9) = 25
I had to ask this again
Can someone help me please
Where the graphs of the functions intersect it represents the number of weeks when they have both saved the same amount of money. So by solving the system we can find the number of weeks and that amount of money.
y = x^2 + 2x
y = -3x + 6 so
x^2 + 2x = -3x + 6
x^2 + 5x - 6 = 0
(x + 6)(x - 1) = 0
So x = 1 ( we ignore the negative)
So after 1 week they have saved the same amount and the amount is -3 + 6 = 3.
Are you sure that -3x + 6 is right - because Sarah does not save anything after year 1 . The equation has a negative slope!!
Answer:
x=5
Step-by-step explanation:
35+4x=x^2+30
collect the like terms n form a quadratic equation
x^2-4x-5=0
solve the quadratic equation
x=5 or x=-1
ignore the negative answer bcz week cant be negative
So the answer is 5 weeks
No links or trolls please. I need help with this math, it’s due soon. Thanks you. It’s a division sign by the way, it’s hard to see in the photo.
Answer:
n^2p
Step-by-step explanation:
Thats the answer
Find the mean of the following numbers.
14, 17, 21, 28, 40
Find the volume of the cylinder. Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi radius 5 height 6
Answer:
150π cu. units
Step-by-step explanation:
V = Bh where B is the area of the circular base and h is the distance between the bases (height)
B = [tex]\pi r^{2}[/tex] = [tex]\pi 5^{2}[/tex] = 25π
V = 25π(6) = 150π cu. units
Answer: V = 471 m^3
In terms of PI - V = 150 π m^3
Step-by-step explanation:
V = πr2h
V = 3.14(5)^2(6)
V = 3.14(25)(6)
V = 471 M^3
or
V = 3.14 (25)(6)
V = 150 π m^3
1/8 plus 1/4 equals.
Answer:
3/8
Step-by-step explanation
Please just use a calculator
Answer:
0.375
Step-by-step explanation:
The figure shown is created by joining two rectangles.
1.25 ft
2.25 ft
3.5 ft
2 ft
3.5 ft
Enter the area, in square feet, of the figure.
On a game show, a contestant randomly chooses an envelope and wins
the prize that is written inside. There are 3 envelopes containing a car,
5 envelopes containing a vacation, and 2 envelopes containing
electronics.
What is the probability that a contestant picks a vacation?
Answer:
D or 1/2
Step-by-step explanation:
If there are 3 envelopes for a car, 5 envelopes for vacation, and 2 envelopes for an electronic, then add 3+5+2=10. But, we are figuring out the vacation envelopes, which there are 5 of those and 5 is half of 10. Therefore, your answer is 1/2.
GIVING BRAINLIEST!!!!!!!!!!!PLS HELP :((
In which step does a mistake First occur? 8+2+(3X 3-2)
Step1: 8+2+(3x1)
Step2: 8+2+3
Step3: 4+3
Step 4: 7
Answer:
step 2 he divded the 8 by 2
Step-by-step explanation:
There IS a mistake
8+2 is 10
so 10+3 is equal to 13
Finit set:
1+2+3+........+25=??
Answer:
Finite set: A set is said to be a finite set if it is either void set or the process of counting of elements surely comes to an end is called a finite set.
In a finite set the element can be listed if it has a limited i.e. countable by natural number 1, 2, 3, ……… and the process of listing terminates at a certain natural number N.
The number of distinct elements counted in a finite set S is denoted by n(S). The number of elements of a finite set A is called the order or cardinal number of a set A and is symbolically denoted by n(A).
Thus, if the set A be that of the English alphabets, then n(A) = 26: For, it contains 26 elements in it. Again if the set A be the vowels of the English alphabets i.e. A = {a, e, i, o, u} then n(A) = 5.
Step-by-step explanation:
1+2+3+4+5+6..........23+24+25=325
What is the radius of these cylinders?
Answer:
sorryyyyy i really dont know
Write the equation of each line in slope intercept form
Step-by-step explanation:
To Find :-
Equation in Slope Intercept Form .Solution :-
The line passes through (0,2) , therefore ,
> y intercept = 2 .
And slope ,
> m = -0.75
Using slope Intercept Form ,
> y = mx + c
> y = - 0.75 x + 3
what is 3^ 81^5=3^ please
Answer:
Step-by-step explanation:
Functions and Graphing complete each table
Answer:
table 1: -4,0,4,8. table 2: -3,-1,1,3 table 3: 1/3,0,-1/3,-2/6
Step-by-step explanation:
Eric is going to visit his grandmother, who lives about 250 miles away. He travels at
a speed of 55 miles per hour. About how many hours will it take him to get there.
Can someone explain please :)
Answer:
4.55 hours (rounded to the nearest tenth)
Step-by-step explanation:
If you take 250 and divide it by 55 you get 4.5454 repeating. Round to the nearest tenth and you get 4.55 hours.
Can someone help me with this. Will Mark brainliest. Need answer and explaination/work. Thank you.
You need to get graphing paper
Answer:
This quadrilateral is a parallelogram because the slopes of the opposite sides equal eachother.
Step-by-step explanation:
To prove this quadrilateral is a parallelogram you want to show that the opposite sides are parallel by finding the slopes of each. Which means the parallel lines have to have the same slopes if it is a parallelogram.
To find slope we use M= Y1-Y2/X1-X2
Lets start with A and B
M=7-8/2-(-2)
so M= -1/4 for Line AB
Now lets find C and D
M=2-1/1-5
so M=-1/4 for line CD
So this quadrilateral is a parallelogram because the slopes of the opposite sides equal eachother.
Tim buys a car for $7,500 and sells it for a profit of $1,000. How much did he sell it for?
Find the area of each figure. Round to the nearest tenth if necessary.
Answer:
64 cm²
Step-by-step explanation:
(12*4.5)+(2*5)= 54+10=64
I fly like paper get high like planes
Answer:
If you catch me at the border I got visas in my name
If you come around here, I make 'em all day
I get one done in a second if you wait
Step-by-step explanation:
module six review and discussion-based assessment
Answer:
okay what's your question?
Step-by-step explanation:
Answer:
whats the question
Step-by-step explanation:
What fraction does point S represent?
Answer:
C
Step-by-step explanation:
So what you gotta do is count the lines. You don't count the one with one on it, but you count all the way through to 2. That gets you eight, so each line is 1/8. 1-2 in 1/8 intervals. 1 1/4 multiply 2 on the numerator and denominator gets 1 2/8, 1 1/2 multiply 4 on the numerator and denominator gets you 1 4/8. Counting the lines, each of those matches up. The first interval is 1 1/8.
What is the surface area of the cylinder with height 4 mi and radius 3 mi? Round your answer to the nearest thousandth.
Answer:
The surface area of the cylinder will be "131.88".
Step-by-step explanation:
The given values are:
Height of cylinder,
h = 4 m
Radius of cylinder,
r = 3 m
As we know,
The surface are of cylinder is:
⇒ [tex]A_s=2 \pi r(h+r)[/tex]
On substituting the values, we get
⇒ [tex]=2\times 3.14\times 3(4+3)[/tex]
⇒ [tex]=18.84\times 7[/tex]
⇒ [tex]=131.88[/tex]
The middle school band has a boy to girl ratio of 4:6.
The band had 20 members last year and 25 members this year.
How many girls and how many boys are in the band in each of these two years?
Last year: 8 boys and 12 girls. This year: 10 boys and 15 girls.
Last year: 12 boys and 8 girls. This year 13 boys and 12 girls
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Last year: 8 boys and 12 girls. This year: 12 boys and 13 girls.
Last year: 12 boys and 8 girls. This year 15 boys and 10 girls
Answer:
last year 8 boys 12 girls and this year 10 boys 15 girls
Step-by-step explanation:
ratio = 4:6
total ratio = 6 +4 =10
last year
ratio 1 = 20 ÷ 10 = 2
boys = 2 × 4 = 8
girl = 2 × 6 = 12
this year
ratio 1 = 25 ÷ 10 = 2.5
boys = 2.5 × 4= 10
girls = 2.5 × 6 = 15