Answer:
Question 1:
1: 2 xs
1 1/4: 5 xs
1 1/2: 1 xs
1 3/4: 1 xs
2: 2xs
Question 2:
6 1/4 pounds
I hope I helped!
Find the missing lengths of the sides
Answer:
Hope this is helpfull...
A spinner has 4 equal sectors colored yellow, blue, green, and red. If in 100 spins we get
28 blue (B), 25 red (R), 29 green (G), and 18 yellow (Y) outcomes, find the empirical probability of getting color P(R).
O A. 6/25
OB. 1/4
O C. 3/10
O D. 13/50
Answer:
B
Step-by-step explanation:
28+25+29+18 = 100
red = 25
25/100 = 1/4
The required empirical probability is 1/4 which gets the color of red P(R).
What is probability?The probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
A spinner has 4 equal sectors colored yellow, blue, green, and red. If in 100 spins we get
28 blue (B), 25 red (R), 29 green (G), and 18 yellow (Y) outcomes
To find the empirical probability of getting a red outcome, we need to divide the number of red outcomes by the total number of spins:
P(R) = 25 red outcomes / 100 spins
Apply the division operation, and we get
P(R) = 1/4
Hence, the required empirical probability is 1/4
Therefore, the correct answer is 1/4 or option B.
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Help, I am confused although I think this is simple
Answer:
A) 8
Step-by-step explanation:
Factor the number: 512=\(8^{3}\)
= \(\sqrt[3]{8^{3} }\)
Apply the radical rule: \(\sqrt[n]{a^{n} }\) = a, a\(\geq\)0
You get your answer: 8
What is the cubic root?
Similarly to the square root of a number (most commonly seen using this symbol: √) the cubic root of a number is number that, when multiplied by itself 3 times gives you the original value.
For example: ∛8 = _ × _ × _ = 8
What number, when multiplied by itself 3 times gives you the number 8?
2 × 2 × 2 = 8 so ∛8 = 2
Now for your question, multiply the answer choices by themselves 3 times to see which gives you the answer of 512:
8 × 8 × 8 = 51232 × 32 × 32 = 32768192 × 192 × 192 = 70778881536 × 1536 × 1536 = 3.6 × \(10^{9}\)
YOUR ANSWER IS A
Which of the following expressions would represent a class of 72 students divided equally into 9 groups?
o 729
Answer:
8 students per group
Step-by-step explanation:
Since it says divided in the problem you use division.
Out of 72 students, we must divide them equally into 9 groups.
This means our equation will look like:
72 ÷ 9
After using a calculator or long division, your answer should be 8.
An airplane is preparing to land at an airport. It is 59,400 feet above the ground and is descending at the rate of 3,000 feet per minute. At the same airport, another airplane is taking off and will ascend at the rate of 2,400 feet per minute. When will the two airplanes be at the same altitude and what will that altitude be? Use pencil and paper. Use two other methods to solve the problem. Explain which methods are easier to use and which are more difficult to use for the situation.
Product: Your report needs to include the following:
a. Define the variables that you will be using.
b. Create a system of equations.
c. Solve the system using graphing. Be sure to include the graph in your report.
d. Solve the system using either substitution or elimination to check your graphing work.
Explain what your solution means in the context of the problem.
Answer:
a. Variables:
Let's define the variables for the problem:
t: time in minutes (the variable we are solving for)
h1: altitude of the descending airplane in feet
h2: altitude of the ascending airplane in feet
b. System of Equations:
Based on the given information, we can create a system of equations:
Equation 1: h1 = 59,400 - 3,000t (altitude of descending airplane)
Equation 2: h2 = 0 + 2,400t (altitude of ascending airplane)
c. Solving the System using Graphing:
To solve the system using graphing, we need to plot the two equations on a graph and find the point of intersection. Here's the graph:
[Graph]
From the graph, we can see that the two lines intersect at a point. The x-coordinate of the point of intersection represents the time (t), and the y-coordinate represents the altitude (h) where the two airplanes are at the same altitude.
d. Solving the System using Substitution or Elimination:
To check our graphing work, we can solve the system using either substitution or elimination. Let's use substitution:
From Equation 1: h1 = 59,400 - 3,000t
Substitute h1 into Equation 2:
59,400 - 3,000t = 2,400t
Add 3,000t to both sides:
59,400 = 5,400t
Divide both sides by 5,400:
t = 11
Now, substitute the value of t back into either Equation 1 or Equation 2 to find the altitude (h) at that time:
h1 = 59,400 - 3,000 * 11
h1 = 59,400 - 33,000
h1 = 26,400 feet
Therefore, the two airplanes will be at the same altitude of 26,400 feet after approximately 11 minutes.
Explanation of Methods:
Graphing: Graphing the equations provides a visual representation of the problem and helps identify the point of intersection. However, it may not provide an exact value, and the precision depends on the accuracy of the graph.
Substitution or Elimination: These algebraic methods allow for precise calculations and the exact determination of the time and altitude at which the airplanes meet. They require more steps and calculations but offer a more accurate solution.
In the context of the problem, the solution means that after approximately 11 minutes, both airplanes will be at the altitude of 26,400 feet. At this moment, the descending airplane will have descended to the same altitude as the ascending airplane is ascending, resulting in the two airplanes being at the same height above the ground.
Step-by-step explanation:
Warren is on vacation and needs to arrange transportation. A rental car costs 60 dollars per day plus a one-time cost of 14 dollars for insurance. Construct a function C(x) that gives the total cost of renting a car for x days.
C(x) = ______________
If Warren has budgeted 434 dollars for the rental, how many days can he afford?
Answer:
The answer is C(x) = 60x + 14 and the answer to the second one is 7 days.
Step-by-step explanation:
C(x) =60x + 14
434 = 60x + 14
-14 -14
420 = 60x
/60 /60
7 = x
or
x = 7 days
Jason’s checkbook had a balance of $525.02 on May 5. On May 6, he wrote a check for $107.65 at the grocery store. On May 8, he wrote a check for $228.00 for his car payment. On May 9, his grandmother sent him $55.00 and he deposited this in his account.
What is the balance of Jason’s account after this deposit?
Answer:
Jason has $244.37 in his bank account.
Step-by-step explanation:
This is simple addition and subtraction,
525.02 - 107.65 - 228.00 + 55.00 = bal
A 78.0 kg sprinter starts a race with an acceleration of 1.64 m/s2. If the sprinter accelerates at that rate for 25 m, and then maintains that velocity for the remainder of the 100 m dash, what will be his time (in s) for the race?
The sprinter will complete the race in approximately 17.07 seconds.
To calculate the time for the race, we need to consider two parts: the acceleration phase and the constant velocity phase.
Acceleration Phase:
The acceleration of the sprinter is 1.64 m/s², and the distance covered during this phase is 25 m. We can use the equation of motion to calculate the time taken during acceleration:
v = u + at
Here:
v = final velocity (which is the velocity at the end of the acceleration phase)
u = initial velocity (which is 0 since the sprinter starts from rest)
a = acceleration
t = time
Rearranging the equation, we have:
t = (v - u) / a
Since the sprinter starts from rest, the initial velocity (u) is 0. Therefore:
t = v / a
Plugging in the values, we get:
t = 25 m / 1.64 m/s²
Constant Velocity Phase:
Once the sprinter reaches the end of the acceleration phase, the velocity remains constant. The remaining distance to be covered is 100 m - 25 m = 75 m. We can calculate the time taken during this phase using the formula:
t = d / v
Here:
d = distance
v = velocity
Plugging in the values, we get:
t = 75 m / (v)
Since the velocity remains constant, we can use the final velocity from the acceleration phase.
Now, let's calculate the time for each phase and sum them up to get the total race time:
Acceleration Phase:
t1 = 25 m / 1.64 m/s²
Constant Velocity Phase:
t2 = 75 m / v
Total race time:
Total time = t1 + t2
Let's calculate the values:
t1 = 25 m / 1.64 m/s² = 15.24 s (rounded to two decimal places)
Now, we need to calculate the final velocity (v) at the end of the acceleration phase. We can use the formula:
v = u + at
Here:
u = initial velocity (0 m/s)
a = acceleration (1.64 m/s²)
t = time (25 m)
Plugging in the values, we get:
v = 0 m/s + (1.64 m/s²)(25 m) = 41 m/s
Now, let's calculate the time for the constant velocity phase:
t2 = 75 m / 41 m/s ≈ 1.83 s (rounded to two decimal places)
Finally, let's calculate the total race time:
Total time = t1 + t2 = 15.24 s + 1.83 s ≈ 17.07 s (rounded to two decimal places)
Therefore, the sprinter will complete the race in approximately 17.07 seconds.
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write each ratio in simplest form
50 to 4 =
Answer:
50:4
Step-by-step explanation:
Find the inverse of the function.
y=x+8
Answer:
y^-1= x +8
Step-by-step explanation:
this may be helpful for you
On a Cartesian coordinate plane, points $(2,1)$ and $(3, 4)$ are adjacent points on a square. What is the area of the square?
Hey there! :)
Answer:
A = 10 units².
Step-by-step explanation:
To solve this, we need to find the distance between the two points to derive the side-lengths of the square. Use the distance formula:
\(d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\)
Plug in points into the formula to find the distance:
\(d = \sqrt{(3 - 2)^2 + (4-1)^2}\)
Simplify:
\(d = \sqrt{(1)^2 + (3)^2}\)
\(d = \sqrt{(1) + (9)}\)
\(d = \sqrt{10}\)
Find the area of the square using the formula A = s² where s = √10:
A = (√10)²
A = 10 units².
Answer:
10
Step-by-step explanation:
We use the distance formula to find the distance between the two points, which is the side length of the square.. Therefore, the area of the square is 10.
Can somebody help me Graph y=-3/2X-3???
Step-by-step explanation:
try desmos its a life saver
If AJKL ~ AQRS,
find the value of x:
Answer:
14
Step-by-step explanation:
24/36=(x+4)/(2x-1)
A vehicle purchased for $ 29800 depreciates at a rate of 6 % per year. Determine the approximate value of the vehicle 13 years after purchase.
The value of the vehicle 13 years after purchase is $13,695.24.
What is exponential decay?
Exponential decay is a mathematical process in which a quantity decreases over time in a manner proportional to its current value. This means that the rate of decay is proportional to the amount of the substance remaining, and as the amount of the substance decreases, the rate of decay also decreases.
We can use the formula for exponential decay to find the approximate value of the vehicle 13 years after the purchase:
\($V = V_0 e^{-rt}$\)
where V0 is the initial value of the vehicle, r is the annual depreciation rate (as a decimal), t is the number of years since purchase, and e is the mathematical constant approximately equal to 2.71828.
Substituting the given values, we get:
\($V \approx 29800 e^{-0.06*13}$\)
\($V \approx 29800 e^{-0.78}$\)
V ≈ 29800 x 0.4593
V ≈ 13695.24
Therefore, the approximate value of the vehicle 13 years after purchase is $13,695.24.
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A farmer sells 8.2 kilograms of apples and pears at the farmer's market. 1/4 of this weight is
apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's
Answer:
6.15 kilograms of pears
Step-by-step explanation:
The total is 8.2 kilograms. Since 1/4 of the weight is apples, we know that 3/4 of the weight is pears. So we multiply 8.2*0.75.
8.2*0.75=6.15
Therefore, the farmer sold 6.15 kilograms of pears at the farmer's market.
What is the area of this polygon? Im really bad a geometry so can I have help please.
I’m stuck I need you to do it
Answer: The length of the prism is 8 yards
Step-by-step explanation:
First, take the volume of the prism, divide it by the width (2 1/2). Once you get that divide that answer by height (5 3/4) getting you the length of the prism (8 yards)
12. What is the value of the following expression when
a = -2 and b = -4?
5(4a3b)+ ab
A-108
B -92
C -12
D12
E 28
Answer:
1st one is b. 2nd one is A
Step-by-step explanation:
i did the quiz
Question 11 of 25
Company A charges a $120 annual fee plus $7 per hour car share fee.
Company B charges $100 plus $9 per hour. What is the minimum number of
hours that a car share needs to be used per year to make company A a better
deal?
A. 12
B. 11
O C. 10
D. 9
Answer: is A
Step-by-step explanation:
So can y’all help me please this is due at 5pm
Answer:
Variable terms: 4a and 6a
Constant terms: 4 and 11
Step-by-step explanation:
A constant term is one that is NOT multiplied by any variables.
At this level of math, think of constants as terms that are only numbers.
(for example: 1, 68.9, -42, etc.)
Note that a term in « a + bi » form can also be a constant.
A variable term is a one that IS multiplied by a variable.
(for example x, -3y, 8z, etc.)
In question 1, the variable terms are:
4a and 6a because they are multiplied by the variable a
The constant terms are:
4 and 11 because they are simply integers
Note that the constant terms could also be written as -4 and -11 depending on how the operations are viewed (subtracting vs adding a negative)
Please help me now!!!!
x=45°
y=180-45 = 135°
hope it helps
Answer: x = 45 degrees, y = 135 degrees
Step-by-step explanation:
Because vertical angles are congruent, you can know that angle x = 45 degrees, and angle y would be 180 - 45 degrees because they form a straight line together, so you get 135 degrees.
Exponents are really not my thing but i am force to do it.
Answer:
1. False
2. True
3. False
Step-by-step explanation:
what’s the correct radical form of b^1/5
The correct radical form of b^1/5 is 5^√b.
What is the radical form?Square root and nth roots are represented by the symbol "radical," which. a square root is a component of a radical expression, which is an expression.
A number's or an algebraic expression's simplest radical form is referred to as this. When a number or algebraic expression contains no elements that are perfect nth powers under the radical, it is said to have an nth root and is said to be in its simplest radical form.
When a number or algebraic expression contains no elements that are perfect nth powers under the radical, it is said to have an nth root and is said to be in its simplest radical form.
Explanation:
Convert to radical form using the formula
a^x/n=n^√a^x
5^√b.
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$1,580 at 10% for 8 years
Question A librarian weighs each book that was returned to the library (to the nearest pound). Below is the data. 245 55 Make a dot plot that represents the library book data. 3 4 3 4 4 2 199 CO 8 5 2 CO 8 3 3 Question A librarian weighs each book that was returned to the library ( to the nearest pound ) . Below is the data . 245 55 Make a dot plot that represents the library book data . 3 4 3 4 4 2 199 CO 8 5 2 CO 8 3 3
The dot plot that represents the library book data is shown in the image below.
How to Construct a Dot Plot?To construct a dot plot, each data point is represented as a dot. The number of dots one data point has represents the frequency at which that data point occurs in the data set.
The data set given in the table will have the following data points and frequencies:
1: 1
2: 3
3: 4
4: 4
5: 4
6: 0
7: 2
8: 2
The dot plot for the data is shown in the image below.
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A classic car is now selling for $2000 less than two times its original price. If the selling price is now $20,000, what was the car's original price?
Answer:
$11,000
Step-by-step explanation:
Because,
20,000 + 2000 = 22,000
22,000 / 2 = 11,000
Answer:
11000
Step-by-step explanation:
What is the value of the digit in the ones place?
2,615
A. 50
B. 5
OC. 2,000
OD. 100
N Heracio's Computer Time Shopping Research 10% Videos 15% Homework 20% Games 20% Social dia 25% Heracio used the computer a total of 40 hours last week. How many more hours did Heracio use the computer to do homework than shop online?
Heracio used the computer 2 more hours to do homework than to shop online.
To solve the problem, we need to first calculate the number of hours Heracio spent on each activity:
Videos: 10% of 40 hours = 4 hours
Homework: 20% of 40 hours = 8 hours
Games: 20% of 40 hours = 8 hours
Social media: 25% of 40 hours = 10 hours
Shopping: 15% of 40 hours = 6 hours
To find out how many more hours Heracio used the computer to do homework than shop online, we need to subtract the number of hours spent shopping from the number of hours spent on homework:
8 hours (homework) - 6 hours (shopping) = 2 hours
Therefore, Heracio used the computer 2 more hours to do homework than to shop online.
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Melinda is at tennis practice. She hits 32 tennis balls a minute. She hit 45 tennis balls before practice. If Melinda hit a total of 1,645 tennis balls, how long was she at practice?
A. 45 minutes
B. 50 minutes
C. 60 minutes
D. 52 minutes
Please give an explanation or a step-by-step process! Thank you
Melinda practice tennis for 50 minutes.
Given,
Number of balls Melinda hits in a minute = 32
Number of balls Melinda hits before practice = 45
Total number of balls Melinda hit = 1645
We have to find the total time Melinda taken for practice:
Number of balls Melinda hits at practice:
= Total number of balls Melinda hit - Number of balls Melinda hits before practice
= 1645 - 45 = 1600
Now,
The total time Melinda taken for practice:
= Number of balls Melinda hits at practice / Number of balls Melinda hits in a minute
= 1600 / 32
= 50
That is, Melinda practice tennis for 50 minutes.
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Convert to scientific notation: 7,050.
Correct Answer:
7.05 x 10^3
Answer:7.05*10^3
Step-by-step explanation:
Firstly, note the decimal is after last 0. To make the scientific notation the mantissa should be between 1 & 10.
Here in this case 7.05 is the number lying in this range. We've move the decimal to left by three places so we'll write a positive power over 10.