Answer: [tex]\dfrac19\text{ miles per minute}[/tex]
Step-by-step explanation:
Given: Length of one lap = [tex]\dfrac16[/tex] mile.
Jane ran 7 laps, Total distance covered = [tex]7\times\dfrac16=\dfrac76\text{ miles}[/tex]
Time taken = 10 minutes 30 seconds
[tex]=\text{ 10 minutes}+\dfrac{30}{60}\text{ minutes}\text{ [1 minute = 60 seconds]}\\\\=(10+\dfrac{1}{2})\text{ minutes}\\\\=\dfrac{21}{2}\text{ minutes}[/tex]
Jane's average speed = [tex]\dfrac{\text{Total distance covered}}{\text{ Time taken}}[/tex]
[tex]=\dfrac{\dfrac76}{\dfrac{21}{2}}\\\\=\dfrac{7}{6}\times\dfrac{2}{21}\\\\=\dfrac{1}{9}\text{ miles per minute}[/tex]
Hence, Jane’s average speed = [tex]\dfrac19\text{ miles per minute}[/tex]
Based on the number of laps that Jane ran and the time she ran it in, her average speed per minute must have been 0.11 miles per minute.
First convert the number of laps ran to miles:
= Number of laps x Conversion factor
= 7 x 1/6
= 7/6 miles
The number of minutes was:
= 10 minutes 30 seconds
= 10.5 minutes
The speed in miles per minute is:
= Number of miles / Number of minutes
= 7/6 ÷ 10.5
= 0.11 miles per minute
In conclusion, find out more at 0.11 miles per minute.
Find out more at https://brainly.com/question/20244484.
One dozen roses cost $8.16. Two dozen roses cost $16.32.
A company would like to purchase roses in bulk. How much would 26 dozen cost the company?
Answer:
$212.16
Step-by-step explanation:
Simple Multiplication
try it
find the slope of the line passing through the points (-7, 2) and (3, -2)
Answer:
- 4 / 10 (or -2/5 if you need to simplify)
Step-by-step explanation:
using the point-slope formula, m = (y2-y1) / (x2 - x1)
using the ordered pairs, you get
m = (-2 - 2) / (3 - -7)
m = (-4) / (10)
m= -4/10
if you need to reduce, it's -2/5
Pls hurry I’m being timed
Answer:
b
Step-by-step explanation:
I hope this helps and have a nice day
Answer: b
use a scientific calculator to verify
Step-by-step explanation:
Find the missing measure and write your solution on the blank provided.
Answer:
9. A=65°
B= 115° C= 65° D= 115° E= 65° F= 25°
10. A=70°
B= 110° C= 70° D= 110° E= 70° F= 20°
11. F=22°
A= 68° B= 112° C= 68° D= 112° E= 68°
12. D=116°
A= 64° B= 116° C= 64° E= 64° F= 26°
I hope this helps, have a nice day
If 1,200 cm2 of material is available to make a box with a square base and an open top, find the maximum volume of the box in cubic cm. For example, if the answer is 2,000 cm3 write 2000.
Answer:
4000cm³Step-by-step explanation:
Volume of the rectangular box = x²h
Surface area S = x²+4xh
x is the side length of the square base
h is the height
Given
Surface area = 1200cm²
Substitute into the formula S = x²+4xh
1200 = x²+4xh
From V = x²h
h= V/x²
1200 = x² + 4x (V/x² )
1200 = x² + 4V/x
1200x = x³ + 4V
1200x - x³ = 4V
V = 1200x/4- x³/4
V = 300x - x³/4
To maximize the volume, dV/dx = 0
dV/dx = 300 -3x²/4
0 = 300 -3x²/4
0 = 1200 - 3x²
3x² = 1200
x² = 400
x = 20cm
Since 1200 = x²+4xh
1200 = 400+80h
80h = 1200-400
80h = 800
h = 10cm
Find the volume;
Volume = 400 * 10 Volume -= 4000
Hence the maximum volume of the box in cubic cm is 4000 cm³
Which of the following expression is equivalent to 6x2−13x−28
I. 6x2+8x−21x−28
II. 2x(3x+4)+7x(3x−4)
III. 2x(3x+4)−7(3x+4)
IV. (3x+4)(2x−7)
IV only
IV only
I, III, and IV
I, III, and IV
I, II, and IV
I, II, and IV
I and IV only
I and IV only
Answer:
I, III and IV
Step-by-step explanation:
Required
Determine equivalent expressions to [tex]6x^2 - 13x - 28[/tex]
To do this, we simplify each of the given options.
[tex]I.\ 6x2+8x-21x-28[/tex]
Simplify like terms
[tex]6x2+8x-21x-28[/tex]
[tex]= 6x2-13x-28[/tex]
This is equivalent to the given expression
[tex]II.\ 2x(3x + 4) + 7x(3x - 4)[/tex]
Open Bracket
[tex]2x(3x + 4) + 7x(3x - 4)[/tex]
[tex]2x*3x + 2x*4 + 7x*3x - 7x*4[/tex]
[tex]6x^2 + 8x - 21x^2 - 28x[/tex]
Collect Like Terms
[tex]6x^2 - 21x^2 + 8x - 28x[/tex]
[tex]-15x^2 - 20x[/tex]
This is not equivalent to the given expression
[tex]III.\ 2x(3x+4)-7(3x+4)[/tex]
Open Bracket
[tex]2x(3x+4)-7(3x+4)[/tex]
[tex]2x*3x + 2x*4 - 7*3x - 7*4[/tex]
[tex]6x^2 + 8x - 21x - 28[/tex]
Simplify Like Terms
[tex]6x^2 -13x - 28[/tex]
This is equivalent to the given expression
[tex]IV.\ (3x + 4)(2x-7)[/tex]
Open Brackets
[tex]3x * 2x - 3x * 7 + 4*2x-4*7[/tex]
[tex]6x^2 - 21x+ 8x-21[/tex]
Simplify like terms
[tex]6x^2 -13x-21[/tex]
This is equivalent to the given expression
Hence: I, III and IV are equivalent to the given expression
use the substitution method to solve the system of equations. choose the correct ordered pair
x+3y=9
y=x-5
Answer:
A. (6, 1)Step-by-step explanation:
Given
x+3y=9 y=x-5Substituting y:
x + 3(x - 5) = 9x + 3x - 15 = 94x = 9 + 154x = 24x = 6Finding y:
y = 6 - 5 = 1Answer: (6, 1)
Correct choice is A.
Answer:
A
Step-by-step explanation:
cost-sint2 = 0 solve for t
Answer:
(sin(t)+cos(t))^2=sin^2(t)+cos^2(t)+2sin(t)cos(t)=1+sin(2t)\\
Step-by-step explanation:
hopefully this helps!
factor the trinomial below:
n2+8n+12
Which algebraic expression represents the statement below?
five less than the product of six and a number
Group of answer choices
1. 6 - ( 5 x f )
2. ( 6 x f ) - 5
3. ( 5 x f ) - 6
4. 5 - ( 6 x f ) pick one
Which set of statements explains how to plot a point at the location (Negative 2.5, 3.75)?
Start at the origin. Move 2.5 units left because the x-coordinate is -2.5. -2.5 is between -2 and -3. Move 3.75 units up because the y-coordinate is 3.75. 3.75 is between 3 and 4.
Start at the origin. Move 2.5 units left because the x-coordinate is -2.5. -2.5 is between -2 and -3. Move 3.75 units down because the y-coordinate is 3.75. 3.75 is between 3 and 4.
Start at the origin. Move 2.5 units up because the x-coordinate is -2.5. -2.5 is between -2 and -3. Move 3.75 units left because the y-coordinate is 3.75. 3.75 is between 3 and 4.
Start at the origin. Move 2.5 units right because the x-coordinate is -2.5. -2.5 is between -2 and -3. Move 3.75 units up because the y-coordinate is 3.75. 3.75 is between 3 and 4.
Answer:
(A) Start at the origin. Move 2.5 units left because the x-coordinate is -2.5. -2.5 is between -2 and -3. Move 3.75 units up because the y-coordinate is 3.75. 3.75 is between 3 and 4.
Step-by-step explanation:
I hope that helps
PLEASE NEED HELP ASAP IM GIVING ALL MY POINTS THIS SHOULD BE A EASY QUESTION.
Answer:
Function 1 is not a function.The domain and range of the first function respectively are [tex]\text{ \{-3, 0, 1, 5\}}[/tex] and [tex]\text{ \{-4, -2, -1, 1, 3\}}[/tex].Function 2 is a function.The domain and range of the second function respectively are [tex]\text{ \{-2, -1, 0, 1, 2\}}[/tex] and [tex]\text{ \{-7, -2, 1\}}[/tex].Step-by-step explanation:
In math, every function has a domain and a range.
The domain of the function is all of the x-values for which the function is true. These can be found on the x-axis for every position at which the function exists or crosses the x-axis.The range of the function is all of the y-values for which the function is defined. The range can be found in the same manner as the domain - for every y-value at which the function exists, it is apart of the range.Therefore, with this information given to us, we need to also know about coordinate pairs. Coordinate pairs are written in (x, y) form.
Functions are classified in four ways:
One-to-one functions: Functions are considered to be one-to-one functions if there are unique y-values (no y-values are repeated) and there is one x-value for every one y-value.Onto functions: Functions are considered to be onto functions if there are unique x-values. These x-values cannot repeat, but different x-values can be connected to the same y-values.Both one-to-one & onto: Functions are considered both one-to-one and onto when there is exactly one x-value for every one y-value.Neither one-to-one or onto: Functions are considered to be neither an one-to-one function or an onto function when they have two or more of the same y-values assigned to the same x-values. A function cannot exist if y-values are duplicated on a x-value.Finally, the domain and range should be written in ascending order. Therefore, the lowest number should be written first in the domain and the highest number should be written last.
Function 1
We are given the function: [tex]\text{ \{(-3, 3)}, (1, 1), (0, -2), (1, -4), (5, -1) \} }[/tex].
Using the information above, we can pick out our x and y-values from the function.
Values of Domain: -3, 1, 0, 1, 5
Values of Range: 3, 1, -2, -4, -1
Now, we need to arrange these in ascending order.
Domain Rearranged: -3, 0, 1, 1, 5
Range Rearranged: -4, -2, -1, 1, 3
Using these values, we can see what values we have.
For x-values:
x = -3: 1 value
x = 0: 1 value
x = 1: 2 values
x = 5: 1 value
For y-values:
y = -4: 1 value
y = -2: 1 value
y = -1: 1 value
y = 1: 1 value
y = 3: 1 value
Therefore, we can begin classifying this function. Because we have all separate y-values, we have a function. However, we have two of the same x-value, so we have an onto function.
Now, we can create our domain and range in the set. We use the same formatting given for the first function. We list the values in ascending order and list them in brackets to show that they are apart of a set.
The domain values are the x-values, so they are [tex]\text{ \{-3, 0, 1, 5\}}[/tex].
The range values are the y-values, so they are [tex]\text{ \{-4, -2, -1, 1, 3\}}[/tex].
Therefore, the domain and range for function one are defined, but this is not a function. Because the x-values repeat, it cannot be a function.
Function 2
We are given a table of values that needs to be translated into the set notation. This makes it easier to identify the values. We are given x-coordinates in the top row and y-coordinates in the bottom row. And, the table is set up to where the x-value directly above the y-value makes a coordinate pair. Using this, we can create the set function.
The set function is [tex]\text{ \{(-2, -7), (-1, -2), (0, 1), (1, -2), (2, -7)\}}[/tex].
Now, we can use the same method as above to pick out the x and y-values and reorder them to be from least to greatest.
Values of Domain: -2, -1, 0, 1, 2
Values of Range: -7, -2, 1, -2, -7
Now, we rearrange these.
Domain Rearranged: -2, -1, 0, 1, 2
Range Rearranged: -7, -7, -2, -2, 1
Now, we can check how many times the function presents each coordinate.
For x-values:
x = -2: 1 value
x = -1: 1 value
x = 0: 1 value
x = 1: 1 value
x = 2: 1 value
For y-values:
y = -7: 2 values
y = -2: 2 values
y = 1: 1 value
Now, we can classify the function. The x-values are unique, but the y-values are repeated. Therefore, because the x-values are assigned to one y-coordinate and they are unique, this is not an one-to-one function. Additionally, it cannot be an onto function because the y-values are not unique - they are repeated. Therefore, it is neither an one-to-one function or an onto function. If this function were graphed, it would actually reveal a parabola. However, it is still a function.
The domain values are the x-values, so they are [tex]\text{ \{-2, -1, 0, 1, 2\}}[/tex].
The range values are the x-values, so they are [tex]\text{ \{-7, -2, 1\}}[/tex].
The school math coach takes an inventory of math materials. He counts the materials for 5 different classes. Each class has 7 boxes of 10 pattern blocks, 6 boxes of 9 rulers, and 3 boxes of 2 calculators. Which expression shows the number of math materials?
Answer:
T = 5 * ((7 * 10) + (6 * 9) + (3 * 2))
Step-by-step explanation:
The following mathematical expression would calculate the total number of materials in all of the classes which would be represented by the variable T. We would first multiply the quantity of a specific material in a single box by the number of boxes that exist for each separate material and then multiply that number by 5 since there are a total of 5 classrooms and all have the same quantity of the same materials.
T = 5 * ((7 * 10) + (6 * 9) + (3 * 2))
If we were to solve this we would see that there are a total of
T = 5 * ((7 * 10) + (6 * 9) + (3 * 2))
T = 5 * (70 + 54 + 6)
T = 5 * 130
T = 650
650 materials
What is the slope of the graph of 5x-2y=20
Answer:
Dividing two negative values results in a positive value. Reorder −10 - 10 and 5x2 5 x 2 . Rewrite in slope-intercept form. Using the slope-intercept form, the slope is 52 .
Step-by-step explanation:
HELPPP IT WOULD BE APPRECIATED :)
Step-by-step explanation:
HELPPP IT WOULD BE APPRECIATED :) gHjajjak\ajjjjjnjajjajjajajjaiajjaja
PAGAL KUTTA
A lamp has a height of 28 inches. About how many centimeters tall is the lamp? (One inch is approximately 2.5 centimeters.)
Answer:
70cm
Step-by-step explanation:
Given height of the lamp;
Height of lamp = 28inches
Unknown:
The height in cm;
Solution:
1 inch = 2.5cm
So;
28 inches will be 28 x 2.5 = 70cm
Solve 1/4p + 5/6 = 2/3 for p.
Answer:
p = -2/3
Hope this helps
Example
A bowl contains 10 blue and 7 red marbles. Four (4) marbles are drawn at random from the
bowl. Calculate the probability of two blue marbles drawn when sampling is done with replacement
Step-by-step explanation:
Answer. The probability of picking a blue marble from the blue urn is 2/6=1/3. The probability of picking a blue marble from the black urn is 11/15. The two events are independent so the probability of a blue marble from each urn is the product of the two separate probabilities=1/3×11/15=11/45.
Which of these equations represent a proportional relationship?
y=1/2x+3
y=-2x
y=-3/4x-1
y=3x+2
84 students can fit on 2 busses. How many students can fit on 9 busses
Answer:378 people
Step-by-step explanation:
84/2=42
42*9=378
Salvatore purchased several magazines for $2 each and books for $3 each. If he spent $160 on a total of 60 books and magazines altogether, what would be the number magazines that Salvatore purchased?
Answer:
the number of magazines purchased is 20
Step-by-step explanation:
As it is mentioned in the question that there is a total of 60 books + magazine altogether
Here we used the following equations
Let us assume the number of magazines be x
ANd, the number of books be y
x + y = 60 .............(1)
2x+ 3y = $160 ..........(2)
Now multiply with 2 in the equation 2
Then it comes
2x + 2y = 120
2x + 3y = 160
Solve these equations
y = 40
Now the x value is
x + 40 = 60
x = 20
Hence, the number of magazines purchased is 20
What is the surface area of the cylinder?
Answer:
28.27
Step-by-step explanation:
Which expression is equivalent to 4(10+2)?
Answer:
4 x 12
Step-by-step explanation:it is 4 x 12 since if we do pemdas you will add i the parentheses first then you will multiply by 4
y = -1/2x+4 write in standard form
Answer:
1/2x + y = 4
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Standard Form: Ax + By = CStep-by-step explanation:
Step 1: Define
Slope-Intercept Form: y = -1/2x + 4
Step 2: Find Standard Form
Add 1/2x on both sides: 1/2x + y = 4And we have our final answer!
Answer:
1/2x+y=4
Step-by-step explanation:
Standard form for linear equation is Ax+By=C
WILL MARK BRAINLIEST IF RIGHT AND 100 POINTS!
If 36 × 134 = 4,824 then 36 × 1.34= ?
Answer:
The answer is 48.24
Step-by-step explanation:
Answer:
48.24 will be correct
Step-by-step explanation:
PLSS HELP :) i only have 10 points...
Answer:
45
Step-by-step explanation:
6^2 = 6*6 =36
3^2 = 3*3 = 9
36+9 = 45
Answer:45
Step-by-step explanation:6x6= 36 3x3=9 9+36=45
A linear system is governed by the given initial value problem. Find the transfer function H(s) for the system and the impulse response function h(t) and give a formula for the solution to the initial value problem.
y"-2y' + 26y = g(t); y(0)-0, y'(0) = 5
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help
Juan’s cell phone company charges $35 a month for phone service plus $0.50 for each text message. How many text messages does Juan send in a month if his bill was $52?
Write the equation and solve:
Answer:
Step-by-step explanation:
52-35=17
17/0.5=34
Answer:
Juan sent 34 text messages.
Step-by-step explanation:
$52 - $35 = $17
$0.50 * 34 = 17
$35 + $17 = $52
Juan the horse.
HELP PLAEASEEEEEEEEEEEEE
Answer:
y=3x+2
Step-by-step explanation:
This stuff I don’t understand .PLZZZZZZZ HELPPP MEEE
Answer:
1. 15
2. 6 × 7 × 4 or 6 × 4 × 7 or 7 × 4 × 6 or 7 × 6 × 4
3. (9 + 5) + 3
4. 11
5. 1
6. 0
Step-by-step explanation:
1. Additive Identity means that if you add 0 with any number, the result would always be the number itself.
2. Commutative Property of Multiplication means that no matter what order, the result would still be the same when the arithmetic operations are all ×.
3. Associative Property of Addition means that no matter where the bracket is placed or which numbers are associated with each other using a bracket, the result would still be the same.
4. Multiplicative Identity means that if you times 1 with any number, the result would always be the number itself.
5. Multiplicative Inverse means that when the denominator of the first fraction is the same as the numerator of the second fraction and the numerator of the first fraction is the same as the denominator of the second fraction, the result would always be 1.
6. If you add the positive of a number with a negative of a number, the result would always be 0.