Answer
12.5 seconds
Step-by-step explanation:
Find the time it takes the egg to travel in 1 second
1/2 second=8 feet
x 2 x 2
1 second=16 feet
Create a proportion:
(x represents time in this equation)
16 feet :1 second=200 feet: x seconds
-solve with cross products
x=12.5
Answer
12.5 seconds
step-by-step explanation:
divide 200 by eight (which would give you the abount of half seconds)and divide by 2
Student council expects $150 students for a dance and spends $10 on food for each student. The council expects the number of students to increase by 8% each year for the next 5 years and wants to reduce the amount of money spent on food by 4% for each student each year.
Use the drop-down menus to choose or create functions to model:
A. The predicted number of students over time, S(t)
B. The predicted amount spent per student over time,A(t)
C. The predicted total expense for food each year over time, E(t)
We developed three functions to model student attendance, per-student expenditure, and total food cost. S(t) = 150 * (1 + 0.08)^t models the number of students, A(t) = 10 * (1 - 0.04)^t models the cost per student, and E(t) = S(t) * A(t) models the total cost.
Explanation:We are asked to model the predicted number of students, the amount spent per student and the total expense for food per year over time.
A. The function S(t) = 150 * (1 + 0.08)^t represents the predicted number of students over time.
'S' stands for the number of students.'t' stands for the time in years.B. The function A(t) = 10 * (1 - 0.04)^t represents the predicted amount spent per student over time.
'A' stands for the amount spent per student.C. The function E(t) = S(t) * A(t), represents the total predicted expense for food each year over time.
'E' stands for the total expense.So, 'S(t)' represents the increase of students, 'A(t)' represents the decrease in the amount spent per student, and 'E(t)' the total expenditure of food each year.
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As y increases by 4, x increases by 8. Which equation represents this rate of change?
Answer:
y + 4 = x +8.
y - x = 4
Step-by-step explanation:
This is a rate change equation,
When y increases by 4, the equation to represent that is (y + 4).
When x is also increased by 8, the equation is (x + 8)
Since both equation are dependable,
y + 4 = x + 8
We can further simplify this to
y - x = 8 - 4
y - x = 4.
a northbound train left at midnight. three hours later, a southbound train left the same station. at 6 am the two trains were 330 miles apart. find the rate of each train if the northbound train traveled 10 miles per hour faster than the southbound train
Answer:
Step-by-step explanation:
In this question u can use relative speed of opposite direction
suppose speed of southbound train is x miles per hour so northbound train has speed of x+10 miles per hour.
Speed of tain1+ speed of train 2= Total distance/ total time
(x+10+x)=330/6
2x+10= 330/6
2x= 45
x=22.5 miles per hour (southbound train)
northbound train 22.5+10=32.5 miles per hour
Final answer:
The speed of the southbound train is 30 miles per hour, and the northbound train travels at a rate of 40 miles per hour, which is 10 miles per hour faster as per the problem's information.
Explanation:
The problem involves determining the rate of two trains, where one train travels northbound and the other southbound. The northbound train left at midnight, and the southbound train left three hours later. At 6 am, they were 330 miles apart. We know the northbound train travels 10 miles per hour faster than the southbound train.
Let's designate the speed of the southbound train as x miles per hour. Then the speed of the northbound train is x + 10 miles per hour. The southbound train travels for 3 hours (from 3 am to 6 am), and the northbound train travels for 6 hours (from midnight to 6 am).
The distance covered by the southbound train can be represented as 3x miles, and the distance covered by the northbound train would be 6(x + 10) miles. Together, these distances total 330 miles. Setting up the equation:
3x + 6(x + 10) = 330
Solving for x we get:
3x + 6x + 60 = 330
9x + 60 = 330
9x = 270
x = 30
Therefore, the speed of the southbound train is 30 miles per hour, and the speed of the northbound train is 40 miles per hour (30 + 10).
What is 1 divided by .5
Answer:
[tex] \frac{1}{.5} \\ 1 \div 0.5 \\ = 2[/tex]
Martin solved an equation, as shown below: Step 1: 19v = 76 Step 2: v = 76 - 19 Step 3: v =57 Part A: Is Martin's answer correct or incorrect? If it is incorrect, explain why it is incorrect and show the correct steps to solve the equation. (6 points) Part B: How many solutions will this equation have? (4 points)
Answer:
A. incorrect. He has to divide 76 by 19, instead of subtract 19 to 76.
B. This equation has one solution. v=4
Step-by-step explanation:
Hi, Martin’s answer is incorrect.
A. He has to divide 76 by 19, instead of subtract 19 to 76.
The correct steps are:
19v = 76
Since 19 is multiplying the variable, to eliminate it we have to divide by 19.
v = 76/19
v = 4
B. This equation has one solution. It’s v=4
Feel free to ask for more if needed or if you did not understand something.
Which is a correct statement about the description “six less than the quotient of a number cubed and nine, increased by twelve” when n = 3? Check all that apply.
The correct expression is 6 minus StartFraction n cubed Over 9 EndFraction + 12.
The correct expression is StartFraction n cubed Over 9 EndFraction minus 6 + 12.
One of the steps to determining the value when n = 3 is 3 minus 6 + 12.
One of the steps to determining the value when n = 3 is 6 minus 3 + 12.
The value when n = 3 is 7.
The value when n = 3 is 9.
The value when n = 3 is 15.
The value when n = 3 is 17.
Answer: b, c, f
Step-by-step explanation: just took test on edge
What is the equation of this line
Answer:
y= -2/3x - 2
Step-by-step explanation:
You can draw a triangle base on the line, y= -2, x =-6/2 --> x=-3
when x=0, y =-2
when y=0, -3x-2=0-->x=-2/3
write a multiple of-6/-3 rational number
Answer:
A multiple of -6/-3 could be 2
Step-by-step explanation:
A multiple is a number that may be divided by another a certain number of times without a remainder. When we divide -6/-3 we get -2 which is rational and doesn't have any remainder.
Other examples: -2,
Need help ples if anyone can
Answer:
k = 45
angle measures are 45, 90, and 45
Step-by-step explanation:
The sum of angle measures is 180
180 = 45 + 2k + k or
180 = 45 + 3k
subtract 45 from both sides
135 = 3k
Divide by 3
45 = k
Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in the triangle = 180°
Sum the 3 angles and equate to 180, that is
2k + k + 45 = 180
3k + 45 = 180 ( subtract 45 from both sides )
3k = 135 ( divide both sides by 3 )
k = 45
------------
Thus 2k = 2 × 45 = 90
The 3 angles are 45°, 45° and 90°
Brian says that ABCD is a right triangle. Is he correct? (Do the numbers 1 point
work in the Pythagorean Equation?)
Answer yes
Step-by-step explanation: because is solved correctly has right angle
Yes, Brian is right. Using the Pythagorean Theorem with the given side lengths shows near-perfect agreement, confirming triangle BCD is a right triangle.
Yes, Brian is correct. Triangle BCD is a right triangle.
We can see this by looking at the Pythagorean Theorem, which states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In triangle BCD, the hypotenuse is BD, which has a length of 21.7 meters. The other two sides, BC and CD, have lengths of 13.5 meters and 17 meters, respectively.
Let's plug these values into the Pythagorean Theorem:
BD² = BC² + CD²
21.7² = 13.5² + 17²
469.69 = 182.25 + 289
469.69 = 471.25
As you can see, the left and right sides of the equation are almost equal, with a difference of only 1.56. This small difference is likely due to rounding errors in the given measurements.
Therefore, we can conclude that triangle BCD is a right triangle, and Brian is correct.
Lucas has a cup of hot tea. Its temperature is 80°C. To cool it off, Lucas has put an ice cube in the tea. The temperature of the ice cube is
0°C. The cup of tea with the ice cube sits on a table, and the air around it is 25°C. Which of the following correctly describes how heat
will flow in this situation?
a) from the tea to the air
b) from ice to the air
c)from ice to the tea
d) from the air to the tea
The correct answer is c) from ice to the tea.
What is temperature?Temperature is a degree of hotness or coldness the can be measured using a thermometer. It's also a measure of how fast the atoms and molecules of a substance are moving. Temperature is measured in degrees on the Fahrenheit, Celsius, and Kelvin scales.
Heat always flows from warmer objects to cooler objects, so the heat will flow from the 80°C tea to the 0°C ice cube. The ice cube will absorb the heat from the tea and reduce its temperature, cooling it off. The air around the cup will remain at 25°C and no heat will flow from the tea or the ice cube to the air.
Therefore, option C is the correct answer.
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Which of the following triangles are impossible? Check all that apply. a triangle with angles of 28º, 72º, and 80º a triangle with angles of 17º, 57º, and 106º a triangle with angles of 13º, 48º, and 131º
Answer:
a triangle with angles of 13, 48, and 131 degrees
Step-by-step explanation:
All the triangles equal to 180
Find the 35th term in the arithmetic sequence: -10,-14,-18,-22,..
Answer:
- 146
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 10 and d = - 14 - (- 10) = - 14 + 10 = - 4, thus
[tex]a_{35}[/tex] = - 10 + (34 × - 4) = - 10 - 136 = - 146
Write a formula for r in terms of 0 based on the image below.
Given:
The arc length for the given sector is 7π
The central angle for the given sector is θ
The radius of the circle is r.
We need to determine the formula for r in terms of θ
Formula for r:
The formula for r in terms of θ can be determined using the arc length formula,
[tex]S=r \theta[/tex]
Substituting the values, we have;
[tex]7 \pi =r \theta[/tex]
Dividing both sides by θ, we get;
[tex]\frac{7 \pi}{\theta}=r[/tex]
Thus, the formula for r in terms of θ is [tex]\frac{7 \pi}{\theta}[/tex]
Suppose that the probability that a person will die in the next 20 years is
17.5452%. If this person has a life insurance policy that will pay out $25,000
to the beneficiaries of the policy if the person dies in the next 20 years, what
is the premium of the policy? Assume that the administrative costs of the
policy amount to $65.
O A. $4450.50
O B. $4581.30
O C. $25,000
O D. $4523.89
Answer: $4450.50
Step-by-step explanation:
Just guessed and got it right
The premium of the policy will be $4451.3.
What is Insurance?A person or organisation and an insurance company enter into a contract known as insurance whereby the person or organisation pays the insurance company a premium in exchange for financial protection or reimbursement in the case of an unanticipated loss or event. Up to the limitations outlined in the insurance policy, the insurance company promises to pay for any covered losses or damages. Insurance can be used to guard against a range of hazards, such as liability, property damage, death, and injury.
The premium of the policy can be calculated as:
Premium = (Probability of death x Benefit amount) + Administrative costs
So,
Premium = (0.175452 x 25000) + 65
Premium = 4,386.3 + 65
Premium = $4,451.3.
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There are 3 strawberry yoghurts, 2 peach yoghurts and 4 cherry yoghurts in a fridge.
Kate takes a yoghurt at random from the fridge.
She eats the yoghurt.
She then takes a second yoghurt at random from the fridge.
Work out the probability that both the yoghurts were the same flavour.
The probability is 0.2778
The solution to the problem.The probability of Kate taking the strawberry yogurt the first time is = 3/9
The probability of Kate taking a peach yogurt for the first time is = 2/9
The probability of Kate taking a cherry yogurt first time is = 4/9
Now for the second time, the total number of yogurts will change from 9 to 8 as any one of the yogurts has been consumed by kate so find the probability of kate eating yogurt will be subtracted by 1 if she had already consumed it once.
The probability of Kate taking the strawberry yogurt the second time is = 2/8
The probability of Kate taking a peach yogurt for the second time is = 1/8
The probability of Kate taking a cherry yogurt a second time is = 3/8
The probability that she consumes the same yogurt consecutively 2 times is = 3/9*2/8+2/9*1/8+4/9*3/8 = 20/72 = 5/18 = 0.2778
Hence the probability of the yogurt being of the same flavor is 0.2778
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4
[tex]4 \sqrt{5} \times 3 \sqrt{5 } [/tex]
5х35
Answer:
60
Step-by-step explanation:
4 sqrt(5) * 3 sqrt(5) =
12 sqrt(5) sqrt(5)
12 *5
60
An art collector buys a replica of a famous sculpture. The replica has exactly the same shape as the original but is smaller. The replica is 18 cm tall, and the the
original sculpture is 30 cm tall. If 189 cm of bronze was needed to make the replica, how much bronze was needed to make the original sculpture?
Answer:
The answer is 315 cm of bronze
Step-by-step explanation:
Answer:
315cm
Step-by-step explanation:
For this, we need to set up a proportion.
18/189=30/x
Cross multiply.
18x=189*30
18x=5670
Divide both sides by 18.
x=315
Solve the equation if 0 degrees<=x<=360 degrees.
tanx=sqrt 3
Answer:
Step-by-step explanation:
hello :
tanx = √3 0°≤x≤360°
x = 60°
x=240°
X = 60 degrees when tan x = [tex]\sqrt{3\\[/tex]
What is tangent of an angle?Tangent of an angle is the ratio of the length of opposite side to the length of adjacent side of a right angled triangle.
Tangent of any angle is given by the equation tan x = [tex]\frac{sin x}{cos x}[/tex]
Now, sin 60° = √3/2 and cos 60° = 1/2
So tan 60° = [tex]\frac{\sqrt{3}/2 }{1/2}[/tex] = √3
Hence for 0 degrees≤ x ≤ 360 degrees, if tan x = [tex]\sqrt{3}[/tex], then x = 60°
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Which net folds into the pyramid.
Answer:
I am pretty sure it’s c
Step-by-step explanation:
Answer:
I believe it is x
Step-by-step explanation:
I was looking at the pyramid net and the only two that looked close where "w" and "x" but "w" had flaws so that is why I believe the answer is "x".
what is the volume of a cylinder with base radius 2 and height 9
Answer:
V = 113.04
Step-by-step explanation:
V=pi r^2 h
V= (3.14)(4)(9)
V=113.04
Volume of the cylinder is 113.14 cubic unit .
What is the formula of volume of a cylinder ?Let, radius of the cylinder = r unit
and height of the cylinder = h unit
∴ Volume of the cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h cubic unit
How to calculate the Volume of given cylinder ?Given, radius of the cylinder (h) = 9 unit
and given base radius (r) = 2 unit
∴ Volume of the given cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h cubic unit
= [tex]\frac{22}{7}[/tex]×[tex]2^{2}[/tex]×9 cubic unit [ ∵[tex]\pi[/tex]=[tex]\frac{22}{7}[/tex]]
= [tex]\frac{792}{7}[/tex] cubic unit
= 113.14 cubic unit
113.14 cubic unit is the volume of the given cylinder .
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Which radical expressions are equivalent to the exponential expression below ? Check all that apply . (13 + 8) ^ (1/2) A. (13 + 8) ^ 2 sqrt(21) . sqrt(13 + 8) E. 10.5
Answer:
[tex](B)\sqrt{21}\\(C)\sqrt{13+8}[/tex]
Step-by-step explanation:
Given the expression [tex](13 + 8) ^{1/2}[/tex]
Using law of indices: [tex]a^{1/2}=\sqrt{a}[/tex]
[tex](13 + 8) ^{1/2}=\sqrt{13+8}[/tex]
Also:13+8=21
Therefore:
[tex](13 + 8) ^{1/2}=21^{1/2}\\=\sqrt{21}[/tex]
x/5 + 3 = 2 plz solve
-----------------------------------------------------------
X/5 +3 = 2
Subtract 3 from both sides:
x/5 +3-3=2-3
Simplify:
x/5=-1
Multiply both sides by 5:
5x/5=5(-1)
Simplify:
x= -5
Your Answer Is x= -5
plz mark me as brainliest :)
Help please !!
I really need help
y + 174 = 200 Please do it quick!!!
Answer:
The answer is 26
Step-by-step explanation:
You need to subtract 174 from itself and then too 200.Then you should get your answer.
Answer:
y = 26
Step-by-step explanation:
y + 174 = 200
-174 -174
y = 26
What appears to be the solution to the system of equations shown in the graph below?
(Please answer Now)
Given:
The system of equation is,
[tex]3x-4y = -2[/tex] -------- (1)
[tex]-6x+5y = 7[/tex] -------- (2)
To find the solution.
To solve the system of equation,
From (1) we get, [tex]3x = -2+4y[/tex]
Putting this value into (2) we get,
[tex]-6x+5y = 7[/tex]
or, [tex]-2(3x)+5y = 7[/tex]
or, [tex]-2(4y-2)+5y = 7[/tex]
or, [tex]-8y+4+5y = 7[/tex]
or, [tex]-3y = 7-4[/tex]
or, [tex]-3y = 3[/tex]
or, [tex]y = -1[/tex]
From (1) we get,
[tex]3x = -2+4(-1)[/tex]
or, [tex]3x = -6[/tex]
or, [tex]x = -2[/tex]
Hence,
The solution is [tex]x= -2[/tex] and [tex]y = -1[/tex]
Which shows a reasonable estimation for 124% of 42 using the distributive property?
A.(120 percent) (40) + (4 percent) (40) = (4,800) + (160) =4,960
B.(100 percent) (40) + (20 percent) (40) = (4000) + (800) = 4,800
C.(100 percent) (40) + (20 percent) (40) = (40) + (8) = 48
D.(100 percent) (40) + (20 percent) (40) = (40) + (80) = 120
Answer:
c
Step-by-step explanation:
saya fikir jee cara tuu
Answer:
its c
Step-by-step explanation:
lul
Leslie can but 88 pound bag of dog food for $7.40 or a 4 pound bag of the same dog found for $5.38 which is better?
Answer:
8 pound bag for $7.40
Step-by-step explanation:
7.40÷8= $0.925→ it means, per pound costs $0.9255.38÷4= $1.345→ it means, per pound costs $1.345Therefore, the first option for 8 pound bag for $7.40 is cheaper and better.
What is the value of (5.3 times 10 Superscript 4 Baseline) (4.2 times 10 Superscript 3) in scientific notation?
Answer:
[tex]2.226X 10^8[/tex]
Step-by-step explanation:
We are to determine the value of [tex](5.3 X 10^4) (4.2 X 10 ^ 3)[/tex] in scientific notation.
Given:
[tex](5.3 X 10^4) (4.2 X 10 ^ 3)[/tex]
STEP 1: Remove the brackets.
[tex](5.3 X 10^4) (4.2 X 10 ^ 3)=5.3 X 10^4X4.2 X 10 ^ 3[/tex]
STEP 2: Separate the numbers and index of 10.
[tex]=5.3 X4.2X 10^4 X 10 ^ 3[/tex]
STEP 3: Multiply the Numbers and Index of 10
[tex]=22.26X 10^{4+3}[/tex]
STEP 4: Simplify and write in Scientific notation
[tex]22.26=2.226X10\\Therefore:\\22.26X 10^{4+3}=2.226X10X 10^{4+3}=2.226X10X 10^7=2.226X 10^8[/tex]
Thus:
[tex](5.3 X 10^4) (4.2 X 10 ^ 3)=2.226X 10^8[/tex] in scientific notation
Answer:
C.) 2.226 times 10^8
Step-by-step explanation:
5.3* 10^4 * 4.2 * 10^3
5.3* 4.2 =22.26
10^(4+3) = 10^7
22.26*10^7
2.226 * 10 ^(7+1)
=2.226*10^8
Piper can run 3 laps in 8 minutes. Walker can run 10 laps in 25 minutes. Sophie can run 1 lap in 3 minutes. Who is the slowest runner?
Answer:
Sophie
Step-by-step explanation:
For each runner, divide their time running by the laps they ran.
Piper: 8÷3≈2.7
Walker: 25÷10=2.5
Sophie: 3÷1=3
Sophie takes the longest time to run one lap, she is the slowest.
Answer:
Sophie is the slowest runner.
Step-by-step explanation:
We are given the various constant of proportionally s.
3:8, 10:25, & 1:3
Simplify each one by finding a least common factor, LCF, for the first side of such, and multiply the number that would be needed to get to such on both sides.
Thus, 30 laps in 80 seconds , 30 laps in 75 seconds , and 30 laps in 90 seconds.
As seen here, 30:90 is lowest, so Sophie is the slowest runner.
Hope this helped!
~Penny