Hi there!
a. Find the displacement by plugging in the values of the interval:
f(2) - f(0) = 0 - 2 = -2 meters.
Average velocity is the slope, thus:
[tex]v_{avg} = \frac{f(2) - f(0)}{2 - 0} = \frac{0 - 2}{2 - 0} = -1[/tex]
The average velocity for the interval is -1 m/s.
b. To find the speed at the endpoints, we must take the derivative to get the velocity equation:
f(t) = t² - 3t +2
f'(t) = 2t - 3, at t = 0, speed = |-3| = 3 m/s. At t = 2, speed = 2(2) - 3 = 1 m/s.
Acceleration is the second derivative, thus:
f''(t) = 2. The acceleration is 2 m/s² for both endpoints.
c. When the body changes direction, the first derivative changes signs. Thus:
0 = 2t - 3
3 = 2t, t = 1.5 sec. This is where the body changes direction.
find the square root of 3.6 upto 2 decimal places. *With Solution I need*
Answer:
The square root is 1.90
Step-by-step explanation:
Given
[tex]x = \sqrt{3.6}[/tex]
Required
Find x
Express 3.6 as 36/10
So, we have:
[tex]x = \frac{\sqrt{36}}{\sqrt{10}}[/tex]
This gives
[tex]x = \frac{6}{\sqrt{10}}[/tex]
Rationalize
[tex]x = \frac{6}{\sqrt{10}}*\frac{\sqrt{10}}{\sqrt{10}}[/tex]
[tex]x = \frac{6\sqrt{10}}{10}[/tex]
Using a calculator
[tex]\sqrt{10} \approx 3.16[/tex]
So, we have:
[tex]x = \frac{6*3.16}{10}[/tex]
[tex]x = \frac{18.96}{10}[/tex]
[tex]x = 1.896[/tex]
Approximate
[tex]x = 1.90[/tex]
Help me and I’ll give you brainliest
Answer:
15/17
Step-by-step explanation:
Sin=opposite/hypotenuse
SinD=BC/CD=15/17
Using the following incomes and expenses information, calculate the total debt-to-income ratio: Employment wages: $115,000 Interest earned: $950 Dividends earned: $1,200 Mortgage payments: $38,600 Auto loan payments: $3,300 Student loan payments: $9,000 Taxes: $31,050 Utilities: $3,600 Personal savings: $12,000 Gas: $3,500 Groceries: $7,200 Entertainment: $6,000 Charitable donations: $500 Clothing: $1,500 Travel: $1,000
Complete the following indirect proof (proof by contradiction).
Given: Adjacent angles LA and ZB, formed by the intersection of two lines
Prove: At least one of the angles LA and B has measure 90° or greater
First, we assume that this conclusion is false. In other words, we assume that the contrary statement "none of the two angles has measure [tex]90^{\circ}[/tex] or greater" is true.
The assumption is equivalent to the following two statements:
(1) [tex]m\angle A\text{ } \boxed{ < 90^{\circ}}[/tex]
(2) [tex]m\angle B\text{ } \boxed{ < 90^{\circ}}[/tex]
Using (1) and (2) and the addition properties of inequalities, we conclude that [tex]m\angle A+m\angle B \text{ } \boxed{ < } \text{ } 180^{\circ}[/tex].
On the other hand, two adjacent angles form a linear pair. Thus, the last statement contradicts the Linear Pair Property, which states that for a linear pair of angles [tex]\angle A[/tex] and [tex]\angle B[/tex], [tex]m\angle A+m\angle B \text{ } \boxed{=} \text{ } 180^{\circ}[/tex].
Therefore, the assumption made is false, and the statement "at least one of the angles [tex]\angle A[/tex] and [tex]\angle B[/tex] has measure [tex]90^{\circ}[/tex] or greater" is true.
. Classify each random variable as either discrete or continuous. a. The time between customers entering a checkout lane at a retail store. b. The weight of refuse on a truck arriving at a landfill. c. The number of passengers in a passenger vehicle on a highway at rush hour. d. The number of clerical errors on a medical chart. e. The number of accident-free days in one month at a factory.
Answer:
a. The time between customers entering a checkout lane at a retail store - Continuous
b. The weight of refuse on a truck arriving at a landfill - Discrete
c. The number of passengers in a passenger vehicle on a highway at rush hour - Continuous
d. The number of clerical errors on a medical chart - Continuous
e. The number of accident-free days in one month at a factory - Discrete
Step-by-step explanation:
A discrete variable is one whose value can be counted or it is a countable variable while continuous variable is not countable and hence it is measured.
a. The time between customers entering a checkout lane at a retail store - Continuous
b. The weight of refuse on a truck arriving at a landfill - Discrete
c. The number of passengers in a passenger vehicle on a highway at rush hour - Continuous
d. The number of clerical errors on a medical chart - Continuous
e. The number of accident-free days in one month at a factory - Discrete
Random variables map sample space elements to real numbers. The classification of these random variables is done as:
Option A is Continuous random variableOption B is Continuous random variableOption C is discrete random variableOption D is discrete random variableOption E is discrete random variableWhat are random variables?Random variables are rules relating the sample space's elements to real numbers.
What are discrete random variables?Those random variables, who take only distinct values, are called discrete random variables.
What are continuous random variables?Those random variables, who take any value from a given continuous interval of real numbers are called continuous variables.
For the given first and second cases, the time between customers entering a checkout lane, or the weight on a truck can be any value in an interval of real numbers. Its not assuming distinct values and it can be any value in a continuous real number interval. Thus, they are continuous random variable.
For the given cases, from case third to fifth, the number of errors, the number of clerical errors, and the number of days, all can only be integers and thus, they are distinct, non-continuous in any non-zero sized interval, thus, they are discrete random variables.
Thus, the classification of these random variables is done as:
Option A is Continuous random variableOption B is Continuous random variableOption C is discrete random variableOption D is discrete random variableOption E is discrete random variableLearn more about discrete and continuous random variables here:
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how many times does 12 go into 72
Answer:
Step-by-step explanation:
6
HELP WHICH ONE DO I PICK I NEED TO ANDWER NOW
Answer:
4.3 minutes per mile
Step-by-step explanation:
26 minutes divided by 6 miles is 4.333, so the answer should be 4.3 minutes per mile. Hope this helped :)
WILL MARK BRAINLIEST!
Calculate m < VXW in Parallelogram XYVW
Which function represents the following graph?
y = square root x -3 + 3
y = square root x + 3 + 3
y = 3 square root x - 3 + 3
y = 3 square root x + 3 + 3
Answer:
D. y = 3√x+3 +3
Step-by-step explanation:
The correct answer to your question is the fourth option, y = 3 square root x + 3 + 3.
Answer: D
Step-by-step explanation:
XYZ Company
Balance Sheet
Assets
Cash
$45,000
Inventory $41,000
Property $134,000
Total Assets:
Liabilities
Notes
Wages
Equity
Stock
$55,000
$56,000
$50,000
Investment $59,000
Total Liabilities + Equity:
Using the balance
sheet, calculate XYZ
Company's total
assets - liabilities.
Total Assets - Liabilities = $ [?]
Enter
PH
Skip
On solving the provided question, we can say that - by formula of simple interest we have SI = [tex]2200 X 2 X 4/100 = > 17600/100 = > 176[/tex]
what is interest ?Multiplying the principal by the interest rate, time, and other factors yields simple interest. Simple return equals principle times interest times hours is the marketed formula. It is easiest to compute interest using this formula. A percentage of the principle balance is how interest is most commonly computed. For instance, he will only pay his portion of the 100% interest if he borrows $100 from a buddy and promises to pay it back with 5% interest. $100 (0.05) = $5. When you borrow money, you must pay interest, and when you lend money, you must charge interest. Most of the time, interest is expressed as a yearly percentage of the loan amount. The interest rate on the loan is known as this percentage.
here,
principal, p = 2200
rate, r = 2%
time, t = 4 rs,
so SI = P X R X T/100
SI -
[tex]2200 X 2 X 4/100\\17600/100\\176[/tex]
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A spinner contains four sections: red, blue, green, and yellow. Joaquin spins the spinner twice. The set of outcomes is given as S = {RB, RG, RY, RR, BR, BG, BY, BB, GR, GB, GY, GG, YR, YB, YG, YY}. If the random variable is “yellow (Y),” which of the following is the correct probability distribution? A 2-column table has 3 rows. The first column is labeled Yellow: x with entries 0, 1, 2. The second column is labeled Probability with entries 0.5625, 0.375, 0.0625. A 2-column table has 3 rows. The first column is labeled Yellow: x with entries 0, 1, 2. The second column is labeled Probability with entries 0.75, 0.25, 0. A 2-column table has 3 rows. The first column is labeled Yellow: x with entries 0, 1, 2. The second column is labeled Probability with entries 0.5, 0.375, 0.125. A 2-column table has 3 rows. The first column is labeled Yellow: x with entries 0, 1, 2. The second column is labeled Probability with entries 0.5, 0.25, 0.25.
Answer:
The first table is correct
Step-by-step explanation:
x=Yellow Prob
0 .5625
1 .375
2 .0625
The attached document shows a tree diagram with all 16 outcomes. Each outcome has probability 1/16.
The numbers at the right show the numbe of yellows for each outcome. There are 9 outcomes with 0 yellow (prob = 9/16).
There are 6 outcomes with 1 yellow (prob = 6/16)
There is 1 outcome with 2 yellow (prob = 1/16)
Sorry about the watermarks--distracting!
Based on the given set of values, we can note that the first table is correct
What is Probability?This refers to the calculations of the way an event is most likely to occur.
Hence, the table for x=Yellow Prob
0 .5625
1 .375
2 .0625
For each outcome, there is probability 1/16.
The numbers at the right show the number of yellows for each outcome. There are 9 outcomes with 0 yellow (prob = 9/16).
There are 6 outcomes with 1 yellow (prob = 6/16)
There is 1 outcome with 2 yellow (prob = 1/16)
Hence, because the calculated values are consistent with the values in the first table, then we can conclude that the first table is correct.
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Name a genre or tag (all except shonen, shojo, and maybe josei) and I'll recommend some anime.
I don't want anime recommendations myself rn, please don't be stubborn about this. Just say something random and take the points if you're gonna try recommending some or not take this seriously.
Answer:
hiro ..................
Solve for m. Answer to the nearest tenth & Solve for X. HELP WITH THESE QUESTIONS PLEASEEE AND FASTTT !
Answer:
m is 3. x is 2.
Step-by-step explanation:
if you mirror the variable, it is most likely the ssme
HELP ME QUICK PLEASE.
Answer:
B
Step-by-step explanation:
A figure was dilated so that the new area is 16 times bigger than the original area. Find
one possible set of perimeters for the two figures.
Please Explain!!
One possible set of perimeters for the two figures is 4x and 16x.
What is Dilation?Dilation is one of the type of transformation where the size of the object is made smaller or larger without affecting the shape.
Let A be the area of the original figure.
New area after dilation = 16A
Suppose that the figure is a square.
Area of a square is the square of it's side length and perimeter is four times the length of one side.
Let 'x' be the length of a side of the original figure.
Area of the original figure, A = x²
Perimeter of original figure = 4x
New area = 16 A = 16 x² = (4x)²
So the side length of new figure = 4x
Perimeter of new figure = 4 (4x) = 16x
Hence one of the possible set of perimeters for the two figures given is 4x and 16x.
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The Organic Cafe has 20 pastries for sale, including 6 poppy seed muffins.
What is the probability that a randomly selected pastry will be a poppy seed muffin?
Write your answer as a fraction or whole number.
Answer:
3/10
Step-by-step explanation:
6/20
Reduce
3/10
The label on Masao's breakfast cereal said that
one serving of cereal provides 85 milligrams (mg) of
potassium, which is 2% of the recommended daily
amount. What is the total recommended daily
amount of potassium?
Nutrition Facts
Serving Size: 1 cup (47g)
Servings Per Container: About 7
Amount Per Serving
Calories
Calories from Fat
Total Fat 1g
Saturated Fat Og
Trons Fat og
Polyunsaturated Fat 0.5g
Monounsaturated Fat 0.5g
Cholesterol Omg
Sodium 190mg
Potassium 85mg
Total Carbohydrate 40g
Dietary Fiber 1g
Sugars 8g
Protein 3g
Cereal With Milk
180
2:30
20
10
% Daily Value
2%
0%
0%
8%
2%
13%
4%
2%
0%
|
0%
11%
8%
15%
4%
STAR
22
Find the unit rate: 406 miles to 14.5 gallons of gas.
Find the unit rate: 423 miles to 18 gallons of gas.
The grocery store charges $3.99 for a case of 24
bottles of water. What is the unit price?
Paul is shopping for laundry detergent. At the grocery
store, the liquid detergent is priced at $14.99 for 64
loads of laundry and the same brand of powder
detergent is priced at $15.99 for 80 loads. Which is
the better buy, the liquid, or the powder
Therefore , the solution of the given problem of percentage comes out to be 4250 mg, or 4.25 g and the percentage increase is 50%.
A percentage is what?A% is a number that can be expressed as a decimal or a fraction and indicates what proportion of 100 it is. Put 100 in the denominator and the percentage amount in the numerator to turn a percentage into a fraction.
Here,
This "Nutritional Facts" table indicates that 85 mg of potassium, or 2% of the daily recommended value, corresponds to the row "Potassium".
By using the unitary method, (85/2) mg of potassium will represent 1% of the daily required intake.
As a result, 4250 mg of potassium, or 100% of the daily allowance, will be required: (85/2 * 100).
The entire quantity of potassium that is advised for daily consumption is 4250 mg, or 4.25 g.
(New value) − (Initial value) / (Initial value) = percent change. * 100%.
Here,
Initial value: $1.50 (the 1995 fare).
New value equals $2.25 for the 2008 fare.
Therefore,
percentage variation
= [(2.25 - 1.50) / 1.50] .50] * 100%
= (0.75 / 1.50) * 100%
= 0.5 * 100%
= 50%.
Positive indications of the transition point to an increase in fare.
The percentage increase is therefore 50%.
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pls help i have been doing this for 5 hours i will mark brainliest PLEASE I JUST NEED THE RIGHT ANSWER
Answer:
[tex]p = 7[/tex]
Step-by-step explanation:
So the key is that a line has a measure of 180 degrees. Notice the square between the rays. That is a 90-degree angle. So let's add this up and see what's going on
[tex](5p + 2) + 90 + (7p + 4) = 180[/tex]
[tex]12p + 96 = 180[/tex]
[tex]12p = 84[/tex]
[tex]p = 7[/tex]
Answer:
p = 7
Step-by-step explanation:
From the diagram, we can see that all the angles given form a straight line, and therefore add up to 180°.
We can create an equation with what is given:
***The angle with the square marked is 90°.
5p° + 2° + 90° + 7p° + 4° = 180°
You can combine the like terms, getting:
12p° + 96° = 180°
Now, subtract 96° from both sides:
12p° = 84°
Now, divide by 12°, and get:
p = 7
_______ quadratic equations in standard form can be solved
using the quadratic formula.
No
All
Some
PLS HELP
The answer is All
Step-by-step explanation:
It has been proven that all quadratic equations can be solved with the quadratic formula.
please help I need this done because this is my last assignment
Answer:
Lower quartile is 2
Median is 5
Upper quartile is 7
Answer:
Lower quartile 2
median 6.5
upper quartile 7
Simplify. Negative square root of 16y^2 if y<0
Answer:
The square root means that IF you square the square root, you will get the original number. Thus, 16 squared = 256 and y^2 squared = (y^2)(y^2) = y^4
Step-by-step explanation:
Prove limit of function by using definition (delta-epsilon)
Answer:
Refer to step-by-step
Step-by-step explanation:
Prove the following, [tex]\lim_{x \to \ 2} 2^{x}=4[/tex], [tex]\lim_{z \to \ -1} 3^{x}=\frac{1}{3}[/tex], and [tex]\lim_{x \to \ 1} e^{x-1} = 1[/tex].
For part f:
Plug in the value of the limit, 2,
[tex](2)^{2} =4[/tex]
Thus we proved the limit.
For part g:
Plug in the value of the limit, -1,
[tex]3^{(-1)}[/tex]=>[tex]3^{-1}[/tex]=>[tex]\frac{1}{3^{1} }=\frac{1}{3}[/tex]
Thus we proved the limit.
For part h:
Plug in the value of the limit, 1,
[tex]e^{(1)-1}[/tex]=>[tex]e^{1-1}[/tex]=>[tex]e^{0}=1[/tex]
Thus we proved the limit.
Find the volume.
Need help
The volume of a rectangular prism is found by multiplying its length, width, and height.
[tex]\large\tt\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:V=l\times w\times h[/tex]
[tex]\tt V=l\times w\times h[/tex][tex]\tt V=8m\times 4.5m \times 6m[/tex][tex]\tt V={216m^3}[/tex]Therefore, the volume of a rectangular prism is 216m³
Another formula can be used if the area of the base (B) is given.
[tex]\large\tt\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:V=B\times h[/tex]
[tex] \tt V = B \times h[/tex][tex]\tt V = 36m^2\times 6m[/tex][tex] \tt V = {216m^3}[/tex]Therefore, the volume of a rectangular prism is 216m³
#CarryOnLearningWhat is the sum of 1/2 + 3/10?
Answer:
The answer is 3/20 or 0.15
I wish you luck in your assignments.
Please awnser this to brothers and sisters
Answer:
Equivalent
Step-by-step explanation:
Two fractions are equivalent if the value, proportion, or quantity they represent is the same. Equivalent fractions can have different numerators and denominators. If you multiply the first one by 2/2, they will both be the same.
Answer:
equivalent
Step-by-step explanation:
2x/18y divided by 2 = x/9y
Which of the following equations is the translation 2 units up of the graph of y=Ixl?
Answer:
y=|x|+2
Step-by-step explanation:
Umm where’s the graph.
If the graph is up 2 units y=|x|+2
Ellie wants double her savings of £9000 by investing her money for 18 years what interest rate does she need to look for?
She need a interest rate of 5.56%
Your wealth increases more quickly due to compound interest. Due to the fact that you will receive returns on both the money you invest and returns at the conclusion of each compounding period, it causes a sum of money to increase more quickly than with simple interest. As a result, you won't need to save as much money to achieve your objectives.
What are the 3 types of compound interest?Formula for Monthly Compound Interest. 12 times a year are used to calculate interest that is compounded monthly.Formula for Quarterly Compounding. Four times a year are used to calculate interest that is compounded quarterly.Formula for Daily Compound Interest.Formula for Annual Compound Interest.We are aware that A = P(1+rt), where A represents the Final Investment Value, is the simple interest formula.
P denotes the principal amount to be invested, r the interest rate, and t the number of time periods.
The formula for this issue is t = 18 Years, p = £90,000.
A = £9000 *2 => £18000\sr = ?
Fill in the appropriate values in the formula above to find 18000 = 9000(1+18r).
18r = 2 - 1\sr = 1/18\sr = 0.0555555556
Extend 0.0556
Ratio conversion: r = 0.0556 * 100 = 5.56%
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She need a interest rate of 5.56% .Your wealth increases more quickly due to compound interest.
What are the 3 types of compound interest?Formula for Monthly Compound Interest. 12 times a year are used to calculate interest that is compounded monthly.
Formula for Quarterly Compounding. Four times a year are used to calculate interest that is compounded quarterly.
Formula for Daily Compound Interest.
Formula for Annual Compound Interest.
We are aware that A = P(1+rt), where A represents the Final Investment Value, is the simple interest formula.
P denotes the principal amount to be invested, r the interest rate, and t the number of time periods.
The formula for this issue is t = 18 Years, p = £90,000.
A = £9000 *2 => £18000\sr =
Fill in the appropriate values in the formula above to find 18000 = 9000(1+18r).
18r = 2 - 1\sr = 1/18\sr
= 0.0555555556
Extend 0.0556
Ratio conversion: r = 0.0556 * 100 = 5.56%
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Terrence made a scale drawing of a boarding school. The scale he used was
7 centimeters: 3 meters. If the actual length of a building at the school is 300 meters, how
on is the building in the drawing?
The building in the drawing is 700 centimeters or 7 meters.
Define the unitary method.The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
What are ratios and proportions?An ordered pair of integers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you might express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls.
Given 3 meters on real is equal to 7 centimeters on drawing
i.e. 3 meters=7 centimeters
or, 1 meter = 7/3 centimeters
We need to find reading for 300 meters so,
or, 300 meters=7/3*300 centimeters
=700 centimeters or 7 meters
Therefore the building in the drawing is 700 centimeters or 7 meters.
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What is 3/7 + 2 1/4?
Answer:
2 19/28 or 75/28
Step-by-step explanation:
Find common denominators then add, simplify if needed.
Sam rolls a fair dice and flips a fair coin.
What is the probability of obtaining an odd number and a head?
There are six sides to a die and only one side has a two, so the probability of rolling a 2 is 1/6.
There are two sides to a coin and only one side has a head, so the probability of its coming up heads is 1/2.
The two events (rolling a die and flipping a coin) are independent, so the probability of both events occurring is (1/6)(1/2) = 1/12