Answer:
C. 10 m/s²
Step-by-step explanation:
Given:
Δx = 45 m
v₀ = 0 m/s
v = 30 m/s
Find: a
v² = v₀² + 2aΔx
(30 m/s)² = (0 m/s)² + 2a (45 m)
a = 10 m/s²
The vehicle's acceleration if its value may b assumed to be constant is 10 m/s. Therefore, option C is the correct answer.
Given that, a vehicle designed to operate on a drag strip accelerates from zero to 30m/s while undergoing a straight line path displacement of 45m.
What is an acceleration?Acceleration is the name we give to any process where the velocity changes. Since velocity is a speed and a direction, there are only two ways for you to accelerate: change your speed or change your direction-or change both.
Here, Δx = 45 m, v₀ = 0 m/s and v = 30 m/s
Using the formula v² = v₀² + 2aΔx
(30 m/s)² = (0 m/s)² + 2b (45 m)
b = 10 m/s
The vehicle's acceleration if its value may b assumed to be constant is 10 m/s. Therefore, option C is the correct answer.
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A new cell phone cost $749. The new phone is estimated to have a linear depreciation (loss of value) of $115 per year when measured only at the end of each year. The function f(x)=-115x+749 models the value of the phone each year, x, since it was purchased. What is the most appropriate domain for the function?
Answer:
Natural Numbers!!
Step-by-step explanation:
Help please :) simple 7th math
Answer:
slope is 4
Step-by-step explanation:
Question 6 (1 point)
What is the value of n?
79°
Blank 1:
Answer:
Step-by-step explanation:
69
A professor gives his students 9 essay questions to prepare for an exam. Only 2 of the questions will actually appear on the exam. How many different exams are possible?
Answer:
There are 36 possible exams.
Step-by-step explanation:
How many ways can you select 2 questions out of 9? 9 choose 2.
[tex]\frac{9!}{2!7!}[/tex]= 36
Find the slope of the line shown below. *
عه
5
4
3
1
-5 -4 -3 -2 -1
1 2 3 4 5
#☺
Answer: The slope is 2/3
Step-by-step explanation:
The difference in the rise (y-values) 2, divided by the difference in the run (x-values) 3, is 2/3.
You can see this by looking at the places where the graphed line crosses the grid, and counting the squares in each direction between those points, or you can use the formula (y - y₁) ÷ (x - x₁)
Using the values of coordinates (3,1) and (0, -1)
1 -(-1) ÷ 3 - 0
2 ÷ 3
2/3
The slope of the given line is 2/3.
From the given figure, the coordinates of the points on line are (3, 1) and (-3, -3).
What is slope of a line?The slope of a line is defined as the change in y-coordinate with respect to the change in x-coordinate of that line.
The slope of a line is m=(y2-y1)/(x2-x1)
Using the coordinates (x1, y1) = (3, 1) and (x2, (y2) = (-3, -3)
Slope(m) = (-3-1)/(-3-3)
= -4/(-6)
= 2/3
Therefore, the slope of the given line is 2/3.
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Part A: Calculate how much Portfolio 2 earns. Show all work.
Part B: Using your values from Part A, identify the portfolio that earns the most. What information from the table could be used to justify why that portfolio has higher earnings?
The total amount that Portfolio 2 earns is approximately $567.75.
How much does Portfolio 2 earn?To calculate the earnings for Portfolio 2, we need to calculate the return on each investment and then sum them up.
Return on Savings Account:
= $1,450 * 2.80%
= $40.60
Return on Government Bond:
= $2,200 * (-1.55%)
= -$34.10
Return on Preferred Stock:
= $3,700 * 11.70%
= $432.90
Return on Common Stock:
= $1,500 * 8.49%
= $127.35
Total earnings for Portfolio 2 is:
= $40.60 + (-$34.10) + $432.90 + $127.35
= $567.75.
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Out of 200 students in a senior class, 32 seniors are in the band and 64 seniors are in the band or on the honor roll. What is the probability that a randomly selected senior is both in the band and on the honor roll? Express your answer a fraction in simplest form.
The Probability that a randomly selected senior is both in the band and on the honor roll is 8/25.
To find the probability that a randomly selected senior is both in the band and on the honor roll, we need to divide the number of seniors who are in both categories by the total number of seniors.
Given:
Total number of seniors = 200
Number of seniors in the band = 32
Number of seniors in the band or on the honor roll = 64
Let's calculate the probability using these values:
Probability = Number of seniors in both categories / Total number of seniors
Probability = 64 / 200
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 8:
Probability = (64 ÷ 8) / (200 ÷ 8)
Probability = 8 / 25
Therefore, the probability that a randomly selected senior is both in the band and on the honor roll is 8/25.
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Ariana and Sean went out to dinner with their parents. The price paid for their meal was $75.60 before taxes. The sales tax rate is 7.50%. They leave a tip of 20% of the total. What was the total amount they paid for dinner?
Answer: $97.524
Step-by-step explanation:
First let's calculate the price after the tax rate:
converting 7.50% to a decimal = 0.0750 now we multiply the sales tax by 75.60 which equals $5.67 add it to 75.60 = 81.27 (our new total)
Now let's calculate the tip. Again turning 20% to a decimal = .20 now multiplying by 81.27 = 16.254. Adding 16.254 to 81.27 we get our final answer: $97.524
WILL MARK THE BRAINLIEST, 10 PTS
The graph below shows the cost of buying snow cones as a function of the number of snow cones sold.
What is the range of the function?
Answer:
0 to 4.5
Step-by-step explanation:
ranges from 0 to 4.5
simplify -10(3r+7)+7(4r+9)
Answer:
Your answer is
-2r-7
Step-by-step explanation:
Hope this helps!
Answer:
-2r-7
Step-by-step explanation:
Divide 30 into five parts such that first nad last part are in the ratio 2:3
To divide 30 into five parts such that the first and last parts are in the ratio of 2:3, we can follow these steps:
1. Determine the ratio between the first and last parts. In this case, it is 2:3.
2. Add the ratio values together to find the total number of parts: 2 + 3 = 5.
3. Divide the total value (30) by the total number of parts (5) to find the value of each part: 30 / 5 = 6.
4. Multiply the value of each part by the respective ratio values to obtain the individual parts:
- First part: 2 * 6 = 12
- Second part: 6
- Third part: 6
- Fourth part: 6
- Last part: 3 * 6 = 18
Therefore, the five parts of 30, with the first and last parts in the ratio of 2:3, are 12, 6, 6, 6, and 18.
HELP PLEASE if i mark you brainliest you will get 50 points im giving brainliest to the right answer
find the solution of the system of equations
-3x-2y=-4
9x+3y=15
Answer: x = 2, y = -1
-------------------------------
Please help due today!
Find the LCM of 6 and 20 using lists of multiples. VESIS The LCM IS
Answer:
it is 60 my guy
Step-by-step explanation:
Answer: LCM = 60
Step-by-step explanation:
6 20
× 1 6 20
× 2 12 40
× 3 18 60
× 4 24
× 5 30
× 6 36
× 7 42
× 8 48
× 9 54
× 10 60
Cindy's school is having a fundraising dance. It costs $5 to get into the dance and $2 for each raffle ticket. If Cindy spends $29 at the dance , how many raffle tickets did she buy?
Answer:
Step-by-step explanation:
11.6
you make and sell decorative bows. you sell small bows for 3 and large bows for 5. you want to earn 60 per week
1. What is the measure
of ZABC?
A
98⁰
B
tc
2.
Answer:
∠ ABC = 49°
Step-by-step explanation:
the chord- tangent angle ABC is half the measure of the intercepted arc AB
∠ ABC = [tex]\frac{1}{2}[/tex] AB = [tex]\frac{1}{2}[/tex] × 98° = 49°
Insegnt comma actoarding
international system for
47582 162315
Answer:
If they are seperate numbers then it would be
47,582 and 162,315
If they are the same number it would be 47,582,162,315
Help me asappppppppp
Answer:
hey, i hope you are having a wonderful day.
Step-by-step explanation:
Answer:
Cindy uhh, I can't really see the figures well but I think you'll insert the x and y values into the function given and solve for A, B and C simultaneously.
where you see f(x), put in there the y value of the point and where you see x , put in the x value of the point.
Also ,you can nullify A and B to get C first . You can do that by putting zero in place of x and putting it's correspondent on the y axis into f(x)
solve the equation
5(a + 4) - 6a + 1 = 12
a =
Answer: A= 21/13
Step-by-step explanation:
Points A and B are separated by a lake. To find the distance between them, a surveyor locates a point C on land such than
. Find the distance across the lake from A to B.
NOTE: The triangle is NOT drawn to scale.
distance =
m
Enter your answer as a number; your answer should be accurate to 2 decimal places.
589.43 m is the approximate length of AB from the given triangle
The cosine rule of a triangleThe given diagram is a triangle. From the given triangle, the equivalent expression that will be used is given as:
BC² = AC² + AB² - 2(AC)(AB) cos Ф
Substitute the given parameters
482² = 358² + AB² - 2(358)(AB) cos 54.8
482² - 358² = AB² - 716(AB) cos 54.8
104160 = AB²- 412.72AB
AB²- 412.72AB - 104160 = 0
On factorizing the result, the measure of the length AB is approximately 589.43 m
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joe is going to travel to dallas. he lives 320 miles away and can average 69 miles per hour. use an equation to represent the distance D from Dallas in terms of h, the number of hours joe has traveled
Given parameters:
Distance = 320miles
Average speed = 69miles per hour
Unknown;
A motion equation = ?
Given that D should represent Distance
h number of hours traveled by Joe
Speed is a physical quantity defined as the distance divided by time taken.
It is mathematically expressed as;
Speed = [tex]\frac{Distance}{time taken}[/tex]
Now substitute D for distance and h for the number time;
Speed = [tex]\frac{D}{h}[/tex]
So distance;
D = Speed x h
For this journey;
D = 69h
The equation is D = 69h
Answer:
The answer is B. D=320-69h
Just took the quiz :)
Graph the line.
y=-2/5x+5
Answer: 2.5=Y
Step-by-step explanation: you divide -2 by 5 which is -2.5 then you add 5 giving you the result of 2.5 or Y
Answer:
See attached image
Step-by-step explanation:
In order to graph, find about three different points that belong to the line, and join them with a straight line.
The points I suggest are using easy values of "x" that will make the calculation of the y-value simple. For example the x-values: 0, 5, -5
When x = 0 , y becomes: y = -(2/5) (0) + 5 = 5
When x = 5, y becomes : y = -(2/5) (5) + 5 = - 2 + 5 = 3
When x = -5, y becomes: y = -(2/5) (-5) + 5 = 2 + 5 = 7
Then plot the points (0, 5), (5, 3) and (-5, 7) on the plane, and join them with a line as shown in the attached image.
2.2. Calculate the following: a. -15 × (-3 + 5)-15 + ?(-3) b. V-125-5 × 3² c. (-5)-(-8)-(-7) d. (-5)-(-8)-(-7) - (+2) - (+2)
a. The final result is -45 + ?(-3).
b. We have a negative value inside the square root, this expression is not defined in the real number system. If you're working with complex numbers, we can proceed by evaluating the square root of -130.
c. The result is 10.
d. The result is 6.
a. -15 × (-3 + 5) - 15 + ?(-3)
Let's simplify the expression step by step:
-15 × (-3 + 5) - 15 + ?(-3)
First, we can simplify the expression within the parentheses:
-15 × 2 - 15 + ?(-3)
Next, we perform the multiplication and addition:
-30 - 15 + ?(-3)
Now, let's address the "?(-3)" part. Since we don't have a specific value for the missing factor, we'll leave it as it is for now.
-30 - 15 + ?(-3)
Finally, we can simplify the expression by performing the subtraction:
-45 + ?(-3)
The final result is -45 + ?(-3).
b. √(-125 - 5) × 3²
Let's simplify this expression step by step:
√(-125 - 5) × 3²
First, we evaluate the expression within the square root:
√(-130) × 3²
Since we have a negative value inside the square root, this expression is not defined in the real number system. If you're working with complex numbers, we can proceed by evaluating the square root of -130.
c. (-5) - (-8) - (-7)
Let's simplify this expression step by step:
(-5) - (-8) - (-7)
To simplify double negatives, we can rewrite the expression as addition:
(-5) + 8 + 7
Now, we can perform the addition:
-5 + 8 + 7 = 3 + 7 = 10
The result is 10.
d. (-5) - (-8) - (-7) - (+2) - (+2)
Let's simplify this expression step by step:
(-5) - (-8) - (-7) - (+2) - (+2)
Again, let's rewrite the double negatives as addition:
(-5) + 8 + 7 - 2 - 2
Now, we can perform the addition and subtraction:
-5 + 8 + 7 - 2 - 2 = 3 + 7 - 2 - 2 = 10 - 4 = 6
The result is 6.
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10
-5
-10
5
o
5
10
5
-10
Answer: -10,505,110
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
The distance traveled by a certain motorcycle varies directly to the amount of fuel it
consumes. The motorcycle traveled 120 miles on 2 gallons of fuel. At the same rate, how
far would the motorcycle travel on 6 gallons of fuel?
Answer:
360 miles
Step-by-step explanation:
just multiply 120 by 3.
1+1+1+1x0=?
(dont mind this) Characters Needed Characters Needed
Answer: 0
Step-by-step explanation: 1+1+1+1=4 or 4x1=4
4x0=0 because anything you multiply by 0 is always going to be 0.
Answer:
3
Step-by-step explanation:
1+1+1+1x0=1+1+1+0=1+1+1=2+1=3
Franklin loves to cook with fresh herbs. So, he decides to plant 8 different herbs and keep the small pots on his kitchen windowsill. He starts with a 4-pound bag of soil and puts the same amount of soil in each pot. If he uses all of the soil, how many ounces does he add to each pot?
Answer:
8 ounces for each pot
Step-by-step explanation:
First, we know there are 16 oz in a pound. Since there are 4 pounds, we multiply 4 by 16 to get 64, which is the amount of oz of dirt Franklin will plant. We then divide 64 by 8, to find out the amount of oz per pot.
Hope this helps!
Investing Your teacher invested $5000 in three funds. After a year they had $5450. The growth fund had a return rate
of 12%, the income fund had a return rate of 8%, and the money market fund had a return rate of 5%. Your teacher
invested twice as much in the income fund as in the money market fund. How much money was invested in each
fund?
The amount of money invested in growth fund was $2000, $2000 was invested in income fund and $1000 was invested in money market fund.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A variable can either be independent or dependent. A dependent variable depends on other variable while an independent variable does not depend on other variable.
Let x represent the money invested in growth fund, y represent that of income fund and z represent that of money market fund.
$5000 was invested, hence:
x + y + z = 5000 (1)
Also:
0.12x + 0.08y + 0.05z = 5450 - 5000 (2)
Your teacher invested twice as much in the income fund as in the money market fund:
y = 2z (3)
From the three equations:
x = 2000, y = 2000, z = 1000
The amount of money invested in growth fund was $2000, $2000 was invested in income fund and $1000 was invested in money market fund.
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