The necessary graph, which depicts the relationship between time and distance for a bicycle moving at 10 miles per hour, has been displayed.
The y-axis in this graph displays the distance (in miles) and the x-axis the time (in hours). The distance covered by a bicycle moving at a constant 10 mph is shown by the black line. As you can see, the graph takes the form of a straight line with a positive slope since the distance traveled is directly proportional to the amount of time that has passed.
As a result, the graph illustrating the relationship between time and distance for a bicycle traveling at 10 miles per hour has been displayed.
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Help asp pls help me
Answer:
159.70 in total. Because you need to multiply the cost for the adults shirt with the amount of shirts, do the same for youth and add your answers.
Please answer immediately I beg.
A pyramid and a cone have the same base area and height. The volume
of the pyramid is 175m³. What is the volume of the one? Explain your answer.
The volume of cone is 175 m³
Firstly,
Volume of Pyramid.
The volume (V) of a pyramid is
V = ⅓Ah
Data:
V = 175m³
Calculation:
175 = ⅓× A× h
Ah = 175*3
Ah = 525m³
Secondly,
The volume (V) of a cone is
V = ⅓Ah
Data:
Ah = 525 m³
Calculation:
V = ⅓ A× h
V = 175 m³
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E
OV
Question 3/18
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> NEXT
14
BOOKMARK
3
Mrs. Scarbrough and her dog drove 204 miles to grandma's house. The trip took them 3 hours.
What was their average speed in miles per hour?
miles per hour
Carter shared his post with 10 friends, who each share with only 2 people each day. Carter shared his post with 10 friends, who each share with only 2 people each day.
write an exponential function to represent the spread of carters social media post.
The exponential function will be equal to y = 20ˣ.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Carter shared his post with 10 friends, who each share with only 2 people each day.
The exponential function will be written as,
y = abˣ
y = 10(2)ˣ
y = 20ˣ
Therefore, the exponential function will be equal to y = 20ˣ.
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Answer:
f(x) = 10(2)^x
Step-by-step explanation:
Rule for solving: The first number is the first part of the equation, and the second number is in parenthesis.
Please help it’s URGENT!
The least common denominator needed to solve the equation is given as follows:
D. x(x - 3).
How to obtain the least common denominator?The equation in this problem is given as follows:
1/x + 2/(x - 3) = 5.
The denominators of each expression are given as follows:
x.x - 3.x and x - 3 are not factors of each other, hence we multiply them and the least common denominator needed to solve the equation is given as follows:
D. x(x - 3).
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Given m|n, find the value of x.
t
156°
х.
Answer:
i think the answer would be 156° .
hope it helps you ^.^
two equilateral triangles are contained in a square whose side length is $2\sqrt{3}$. the bases of these triangles are opposite sides of the square, and their intersection is a rhombus. the area of the rhombus can be expressed in the from $a b\sqrt{c}$ for integers $a,b,$ and $c$ such that $c$ square-free. determine $-a b c$.
The area of the rhombus inside a square formed by two equilateral triangles is 1.856 cm².
Here we have to find the area of the rhombus.
Data given:
sides of a square = 2√3 cm
Let ABCD be a square whose sides are 2√3 cm.
As two triangles are inscribed in a square so ABE and CDG be equilateral triangles in square ABCD.
The altitude of the equilateral triangle ABE and CDE = 2√3 sin 60°
= 2√3 × √3/2
= 3cm
The diagonal EG of the rhombus EFGH = 2√3 - 2(2√3 - 3)
= 2.535 cm
The diagonal FH of the rhombus, EFGH = 2√3 - 2(√3tan 30°)
= 1.464 cm
The formula for the area of the rhombus = d1 × d2 / 2
where d1 and d2= diagonal of a rhombus
Now the area of the rhombus EFGH = EG × FH / 2
= 2.535 × 1.464 / 2
= 1.856 cm².
Therefore the area of the rhombus is 1.856 cm².
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Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels 20 miles per hour slower than the westbound train. If the two trains are 360 miles apart after 2 hours, what is the rate of the eastbound train?
Answer:
Westbound = x;
Eastbourne = x-20;
So they will have the common rate: 360/2 = 180;
x+x-20 = 180
2x = 200;
x = 100;
So Eastbourne will be 100-20 = 80 miles per an hour;
What is the y-intercept of the line: y= -3x subtract 12?
Answer:
the Y intercept of the line would be -12
Step-by-step explanation:
in a linear equation like that for example, any equation that is formed as: y=mx+b would always have B as it's y intercept, and since your equation is y=-3x-12 than your y intercept would be -12!
The graph below is on a semi-log scale, as indicated.
Find an equation for the graph shown
Answer:
y(x)= -2x - 2
Step-by-step explanation:
The height of a tree when planted is 1.1 m.
One year later, the height of the tree is 2.4 m.
Calculate the percentage
increase in the height of the tree
over the year, correct to 1 d.p.
Answer:
118.2
Step-by-step explanation:
1.1m is 100%
2.4m×100=240
240/1.1= 218.(18)
218.(18)%-100%=118.(18)=118.2
\dfrac13m-1-\dfrac12n
3
1
m−1−
2
1
n
Answer:
hard work lol
Step-by-step explanation:Lol
What is the y-intercept of the graph of 4x-10y =20???
I need help with this
Answer:
1. 121
2. 59
3. 48
4. 132
5. 17
6. 34
7. 23
8. 67
Step-by-step explanation:
just had this assignment and got a 100%, hope this helps!
Oliver invested $3,500 in a 3-year CD that pays 6.5% interest. He cashed it out at the end of two years with an early withdrawal penalty of 4 months simple interest. What penalty did Oliver pay?
Answer: Compound Interest Formula
Understanding the concept of compound interest, its formula, and how it is calculated is useful because it is the basis of how interest is calculated for your stock market investments, fixed deposits, recurring deposits, etc. It can help you determine how much your return on investment will be, thereby helping you to plan your savings even better. Retail loans such as home loans and vehicle loans also use the compound interest formula so understanding this will give you a better picture of how much interest you will be paying over the years. Here's an example of how it grows year by year:
Year 1 - You earn interest on your Principal amount.
Year 2 - You earn interest on the amount which is the Principal + Interest of Year 1.
Year 3 - You earn interest on the amount which is the Principal + Interest of Year 1 + Interest of Year 2.
Types of Compound Interest
There are generally two types of compound interest used.
Periodic Compounding - Under this method, the interest rate is applied at intervals and generated. This interest is added to the principal. Periods here would mean annually, bi-annually, monthly, or weekly.
Continuous Compounding - This method uses a natural log-based formula and calculates interest at the smallest possible interval. This interest is added back to the principal. This can be equaled to the constant rate of growth for all-natural growth. This figure was born out of physics. It uses Euler's number which is a famous irrational number that is known to have more than 1 trillion digits of accuracy. Euler's number is denominated by the letter "E".
Periodic Compound Interest Formula Overview
There are two formulas you can use to calculate compound interest, depending on what result you wish to find out. You can find out the following:
The total value of the deposit.
The total compound interest earned.
Value of the Deposit
Formulas can be a deterrent to many. If you aren't savvy with math, your eyes turn away from these codes or just skip them altogether. But once it's explained, it's pretty simple to understand. To calculate the total value of your deposit, the formula is as follows:
P (1+ i/n)nt
P = principal invested.
i = Nominal Rate of Interest.
n = Compounding Frequency or number of compounding periods in a year.
t = Time, meaning the length of time the interest is applicable, generally in years.
Simply put, you calculate the interest rate divided by the number of times in a year the compound interest is generated. For instance, if your bank compounds interest quarterly, there are 4 quarters in a year, so n = 4. This result must be multiplied by the power of the deposit period. For example, if your deposit is for 10 years, t = 10. This whole result should be multiplied by the principal you invested. The result generated will equal the total accumulated value of your deposit. You can find out how much your deposit is worth currently after accumulating interest.
Total Compound Interest Earned
To find out how much interest was earned, you can use the following formula for Compound Interest
P[(1+ i/n))nt-1]
Compound Interest Equation and Calculation
To understand the compound interest equation further, we can break it down in simpler terms. If you decide to invest in a fixed deposit with compound interest, this is how you will earn interest every year.
Period
Deposit Balance
Investment
P
Year 1
P + iP
Year 2
(P+ iP) + i(P+iP)
To collapse this formula, we can pull out factors of (1+i). Simply substitute iP with (1+i) to get the following:
Period
Deposit Balance
Investment
P
Year 1
P(1+i)
Year 2
2
Year 3
3
The formula for Annual Compound Interest
To calculate the compound interest for several years together, we need to multiply P(1+i) by the power of the number of years of the deposit. So we end up with this formula:
P (1+ i/n)n
This formula can be used to calculate compound interest that is compounded annually. This means you receive interest only once a year. It is added to your principal, and you continue to earn interest on the new amount.
Half-Yearly, Quarterly, Monthly Compound Interest Formula
If you are earning interest multiple times in a year, you need to factor this number into the equation. So the formula generated is:
P (1+ i/n)nt
This formula can also be used for instances where the interest is compounded once every two years. In this case, n = 0.5, as each year is calculated as half.
Examples of Compound Interest
For example, Rs. 10,000 is invested in a fixed deposit for 10 years. The interest is compounded every quarter which means 4 times in a year. The interest paid by the bank is 5%. To find out your nominal rate of interest, you need to divide 5 by 100 which equals 0.05. Now, we look at the formula and substitute the letters with the relevant numbers.
Calculating the Total Value of the Deposit
We can round this total to Rs. 16,436.19. So the compound interest earned after 10 years is Rs. 6,436.19
Q1 ? Help Robert is 7 ½ years old. How many months old is he?
Answer:
Step-by-step explanation:
If Robert is 7 1/2 months old you need to multiply 7 1/2 by 12 because there are 12 months in a year.
7x12=84
1/2x12=6
6+84=90
HELP FASTTTTT PLSSSSSS
Answer:
the on side to side is the x axes and the y one is up and down
Step-by-step explanation:
Five times a number is 49 greater than the product of 2 and the opposite of the number, What is the number?
Answer:
The answer is 7
Step-by-step explanation:
5x+2x=49-2x+2x
7x=49+0
7x/7=49/7
x=7
The number is 7 if five times a number is 49 greater than the product of 2 and the opposite of the number.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Five times a number is 49 greater than the product of 2 and the opposite of the number.
Let the number is x:
From the statement "Five times a number is 49 greater than the product of 2 and the opposite of the number" we can frame a linear equation in one variable:
5x + 2x = 49 - 2x + 2x
After solving the above equation:
7x = 49
x = 49/7
x = 7
Thus, the number is 7 if five times a number is 49 greater than the product of 2 and the opposite of the number.
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PLEASE HELP FAST!! IT IS URGENT!!
A real-estate agent conducted an experiment to test the effect of selling a staged home vs. selling an empty home. To do so, the agent obtained a list of 10 comparable homes just listed for sale that were currently empty. He randomly assigned 5 of the homes to be "staged," meaning filled with nice furniture and decorated. The owners of the 5 homes all agreed to have their homes staged by professional decorators. The other 5 homes remained empty. The hypothesis is that empty homes are not as appealing to buyers as staged homes and, therefore, sell for lower prices than staged homes. The mean selling price of the 5 empty homes was $150,000 with a standard deviation of $22,000. The mean selling price of the 5 staged homes was $175,000 with a standard deviation of 35,000. A dotplot of each sample shows no strong skewness and no outliers. The agent tests H0: M₁-H₂ = 0, Ha: H1-H₂
We fail to reject H0. There is no convincing evidence that the true mean selling price of all comparable empty homes is less than the true mean selling price of all comparable staged homes.
How to solve thisthe hypothesis is
H0 : \(\mu_{1}-\mu_{2}=0\)
H1 : \(\mu_{1}-\mu_{2} < 0\)
the value of test statistic= -1.35
and the level of significance = 0.10
H0 is rejected if the p-value is less than the level of significance
but it is given that the p-value is between 0.10 and 0.15 so clearly it is not less than the level of significance
so we have insufficient evidence to reject H0
the answer is:
fail to reject H0.
There is no convincing evidence that the true mean selling price of all comparable empty homes is less than the true mean selling price of all comparable staged homes.
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Someonz helz mes whats 2+2 pls I need it for homeowekz
Answer:
4
Step-by-step explanation:
Need help with #2 and #3 all of the problem
Answer:
ang hirap wag nlang hahahahahahahaha
Ms. Fremont recorded the number of potatoes that she grew in her garden each year. Based on the graph shown, in which year did
she grow the greatest amount of potatoes?
A)
2009
B)
2010
C)
2011
D)
2012
What is the surface area of the sphere shown below with a radius of 7?
1
7
A. 49, sq. units
B. 65 sq. units
C. 196 sq. units
D. 457 sq. units
SUBMIT
Answer:
c
Step-by-step explanation:
the surface area for spheres is
4 × π × r²
4 × π × (7²) = 196 π
Find the volume of this please
Answer: 436.8
Step-by-step explanation:
Determine the value of x. Round to the tenths place. 30/4 65/x
wow that's really hard... :) greetings from South Korea My name is Naoyoung nei The abbreviation of Nanda is Naoyoung nei And the name DA is the name of my father and mother
If f(x)=[[x] determine each of the following.
a. f(9.3)
b. f(4.8)
c. f(-7.5)
The values of the maximum integer functions:
f(9.3) = 9f(4.8) = 4f(- 7.5) = - 8How to use a maximum integer function?The statement indicates a function that uses real numbers as input and brings out the greatest integer less than or equal to the number as output:
f(9.3) = [[9.3]]
f(9.3) = 9
f(4.8) = [[4.8]]
f(4.8) = 4
f(- 7.5) = [[- 7.5]]
f(- 7.5) = - 8
Then, the results of the maximum integer function are f(9.3) = 9, f(4.8) = 4 and f(- 7.5) = - 8, respectively.
Remark
The statement presents typing mistakes. Correct form is presented below:
If f(x) = [[x]], determine each of the following:
a) f(9.3)
b) f(4.8)
c) f(- 7.5)
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Question 6 of 10
The graph of f(x) -13*-6 is shown below. g(x) is a transformation of f(x).
How would you write the equation for the function g(x)?
10+
9)
5
25-20-15-10
5 10 15 20 25
10-13-6-10-
-15+
O A 9-364-43
OB. 863)-23* +3
OC. 900---13--6
D. g(x) - 3* +2
The graph is attached.
Step-by-step explanation:
This will be an exponential function, which means it will be a smooth curve.
The y-intercept will be 35, since this is the starting population.
Since the population is increasing, the curve will increase as well.
8.) SAT CORNER: Gatsby leaves his dock and takes his
motorboat due east for 0.5 miles to pick up Daisy. Then,
they motor 1.2 miles north to a private island in the
middle of the sound. What is the straight-line distance,
in miles, from the island to Gatsby's dock?
The distance from the island to Gatsby's dock is 1.3 miles.
What is a Pythagoras theorem?A Pythagoras theorem is a principle that can be used to determine the unknown side of a right angled triangle when the other two sides are known.
Applying the Pythagoras theorem to the given question, let the distance from island to Gatsby's dock be represented by s. Then;
/Hyp/^2 = /Opp/^2 + /Adj/^2
s^2 = 1.2^2 + 0.5^2
= 1.44 + 0.25
= 1.69
s = 1.69^1/2
= 1.3
Thus, the straight-line distance from the island to Gatsby's dock is 1.3 miles.
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The length of a rectangle is represented by the expression 10.5g - 3.4k, and the width is represented by the expression
5.7k+2.4g.
Which expression represents the perimeter of the rectangle?
Remember, the perimeter of a rectangle is the sum of all four sides of the rectangle.
A. 16.2g + (-k)
B.12.9g + 2.3k
C.25.8g + 4.6k
D. 32.4g + (-2k)
The perimeter of a rectangle is the sum of all four sides of the rectangle is 32.4g + (-2k).
What is perimeter?In geometry, the perimeter of a shape is defined as the total length of its boundary. The perimeter of a shape is determined by adding the length of all the sides and edges enclosing the shape. It is measured in linear units of measurement like centimeters, meters, inches, or feet.The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions. For example, imagine a triangle made of a wire of length L. The same wire can be reused to make a square, considering that all the sides are equal in length. Look at the image below showing the perimeter of a rectangular park.
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The perimeter of a rectangle is the sum of all four sides of the rectangle is 32.4g + (-2k).
What is perimeter?In geometry, the perimeter of a shape is defined as the total length of its boundary. The perimeter of a shape is determined by adding the length of all the sides and edges enclosing the shape. It is measured in linear units of measurement like centimeters, meters, inches, or feet.The perimeter of a shape is defined as the total distance around the shape.
It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions. For example, imagine a triangle made of a wire of length L. The same wire can be reused to make a square, considering that all the sides are equal in length. Look at the image below showing the perimeter of a rectangular park.
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Ame, Devon, Micah, and Shawna ran in a long distance race. The graph shows their progress during the race.
Distance (meters)
B. Devon
Legend
Time (minutes)
Which runner started out fast, then ran the rest of the race at a slower rate of speed?
OA Ame
Oc. Micah
OD. Shawna
Ame
Devon
Micah
Shawna
Therefore, option (C) Micah is the correct answer. The graph displays how they fared throughout the race. Distance (meters).
What do speed and distance mean?The pace at which an object moves from one location to another is the fundamental definition of speed. The magnitude of an object's velocity is considered to be its speed. It is unquestionably a scalar amount. Distance is the separation of any two locations by any amount of space.
How does math define distance?In most cases, distance is employed to express how far apart two things are. This concept gets slightly more precise when viewed from a mathematical standpoint. To understand distance geometrically, line segments must first be discussed.
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