According to the formula speed = distance / time The rate in miles per hour is 4.54
If you know how far something has traveled and how long it took to get there, you can calculate its average speed. Speed is calculated as follows: speed = distance * time. Knowing the units for distance and time is necessary to calculate the units for speed.
Rachel jogs 20 feet in 3 seconds
then by the formula
speed = distance/time
speed = 20 feet / 3 seconds
speed = 6.666667 feet per hour
but this speed is in feet per seconds to convert the speed from feet per seconds to miles per hour we need to multiply by 0.681818,
speed = 6.66667*0.681818
speed = 4.5454 miles per hour
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8 1/3 as a mixed number
Answer:
A Mixed number is 8 1/3
A Improper Fraction is 25/3
Step-by-step explanation:
Find the range of the function given the domain.
f(x) = x2 +2 ;D: {0, 0.25, 0.5, 0.75, 1}
Answer:
{2, 2.0625, 2.25, 2.5625, 3}
Step-by-step explanation:
To find the range we can simply plug in the values of the domain and solve for the range. (The domain is the x-values)
Assuming x2 means x^2, we can plug in 0, 0.25, 0.75, 0.5, and 1 for x
0^2+2=2
0.25^2+2=0.0625+2=2.0625
0.5^2+2=0.25+2=2.25
0.75^2+2=0.5625+2=2.5625
1^2+2=1+2=3
Thus, the range is {2, 2.0625, 2.25, 2.5625, 3}
This pattern follows the rule add 7, then subtract 3. What are the next two numbers?
19, 23, 27, ________, ________
Group of answer choices
31, 35
31, 38
34, 35
31 and 35.
Sure hope this helps you
Not drawn
accurately
A
B
The perimeter of Shape A is 72cm. What is the perimeter
of Shape B?
The living room dimensions of a new house are 12' 2" and 10'6".
What is the total area of carpet that needs to be bought for the living room, in square feet?
square feet (Round to one decimal place as needed.)
The area of carpet required to be bought for the living room is 127.75 square feet.
Rectangle:It is a quadrilateral with equal opposite sides and all angles are right angles.Area of the rectangle = length × widthHow to find the area of carpet required?As the room is rectangular in shape, it dimension will be:Thus the area of carpet required is 127.75 square feet.
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What is the measure of x
Answer:
58 degrees
Step-by-step explanation:
XYZ is 90 degrees. XYO is 32 degrees. Angle x takes up the space leftover in the right angle, so simply subtract 32 from 90.
90-32= 58
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Calvin estimated he would need 8 hours to
complete his science project. It actually took
him 12 1/2 hours to get everything done. What
was his percent error?
Answer:45%
Step-by-step explanation:
After drawing a square on the board, Mr. Hinkle asked his class to identify the shape. Timothy stated that Mr. Hinkle had drawn a rhombus. Which of the following statements is true?
Jacob has 2 kilograms of flour. If his brother has one gram more than Jacob, how many grams of flour does Jacob's brother have?
Find the mean, median, and interquartile for the date set below
17,23,8,5,9,16,22,11,13,15,17,18
Step-by-step explanation:
couldn't do interquartile but I hope this helps
Given the following equilateral
triangle:
30
4x + 10
X = [? ]
Answer:
x = 5
Step-by-step explanation:
If it is equilateral, that means all sides are equal
30 = 4x+10
Subtract 10 from each side
30-10 =4x
20 = 4x
Divide by 4
20/4 = 4x/4
5 = x
H . E . L . P
this work is due tommorow, and i have absolutely no idea what the answer is. please help me if you can !
( don’t comment for points. )
Answer:
A) 25
B) 64
Step-by-step explanation:
Hope this helps :))
Step-by-step explanation:
x= 5
a) 5² = 5×5 =25
b) (5+3)² = 8²
= 8 × 8
= 64
In the diagram below, if arc AB measures 58 ° and arc DC measures 110 °, find the measure of < APD.
Answer: I don't know
Step-by-step explanation: I don't know
Answer:
Step-by-step explanation:
The answer is 96 degrees.
- 18 = -3x + 6
Plz help
Answer:
8 =x
Step-by-step explanation:
- 18 = -3x + 6
Subtract 6 from each side
-18-6 = -3x+6-6
-24 = -3x
Divide each side by -3
-24/-3 = -3x/-3
8 =x
Answer:
x= 8
Step-by-step explanation:
\(\sf{}\)
=> -3x+6 = -18
=> -3x+6-6= -8-6
=> -3x= -24
=> x= 8
Relationship in Figures
Determine the unknown side length of the golden rectangle with the given side length.
s = _____ t = 9
a. 5.56
b. 4.85
c. 4.94
d. 5.26
Please select the best answer from choices provided
Answer:
A. 5.56
Step-by-step explanation:
I calculated logically
Can somebody please help me !
Answer: A
Step-by-step explanation:
Each conditional statement below is true. Write its converse. If the converse is also true, combine the statements as a biconditional.If x = —10, then x2 = 100.
The converse of the statement will be : if x^2 = 100 then x = -10, which is not true.
How to find the true statement?In order to write a converse of a conditional statement "p then q", will be "q then p" the hypothesis and conclusion interchanges.
Then the converse of the statement will be :
if x^2 = 100 then x = -10,
which is not true.
Since , x = +10, then x^2 = 100
Therefore, if x^2 = 100 then x = -10, which is not true.
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Which term can be added to the list so that the greatest common factor of the three terms is 12h3?
36h3, 12h6, __________
The term that can be added to the list so that the greatest common factor of the three terms 12h3 36h3, 12h6, is 48h5
How can the term be known?A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, 12, 20, and 24 all share two characteristics.
The term that can fit in to the list so the GCF is 12h3 would be 48h5, this is so because 48 is first divisible by 12 without any fraction, and we can remove upon dividing 3 h's from this term as it contains a total of 5 h's.
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I need help plz help
Given f(x) = 3x − 4 and g(x) = f(2x), which table represents g(x)? x g(x) 1 −2 2 4 3 10 x g(x) 1 −1 2 0 3 5 x g(x) 1 2 2 4 3 6 x g(x) 1 2 2 8 3 14
By evaluating g(x), we conclude that the correct table is:
The correct table is:
x g(x)
1 2
2 8
3 14
Which table represents g(x)?Here we know that:
f(x) = 3x - 4
And function g(x) is defined as:
g(x) = f(2x) = 3*(2x) - 4= 6x - 4
Evaluating g(x) in the values in the tables, x = 1, 2, 3, etc..., we will get:
g(1) = 6*1 - 4 = 6 - 4 = 2
g(2) = 6*2 - 4 = 12 - 4 = 8
g(3) = 6*3 - 4 = 18 - 4 = 14
Then the correct table is:
x g(x)
1 2
2 8
3 14
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The length of a rectangle is 3 ft less than twice the width, and the area of the rectangle is 44 ft squared. find the dimensions of the rectangle
The dimensions of the rectangle are 4 ft by 5 ft.
Given that the length of a rectangle is 3 ft less than twice the width, and the area of the rectangle is 44 sq.ft. We have to find the dimensions of the rectangle. Let's consider the width of the rectangle as x ft.Length of the rectangle = (2x - 3) ftArea of the rectangle = Length x Width44 = (2x - 3) x x44 = 2x^2 - 3x44 = x (2x - 3)2x^2 - 3x - 44 = 0To solve for x, we will factorize the equation by splitting the middle term.2x^2 - 8x + 5x - 20 = 0Factorize2x(x - 4) + 5(x - 4) = 0(x - 4) (2x + 5) = 0x = 4 ft (since the width of a rectangle can't be negative)or 2x = -5This gives us an invalid value, so x = 4 ftNow that we have the width of the rectangle, we can calculate the length as follows:Length of the rectangle = (2x - 3) ftLength of the rectangle = (2 * 4) - 3Length of the rectangle = 8 - 3Length of the rectangle = 5 ft.
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A 30oz bottle of a particular juice contains 18oz of water. What percent of this drink is water?
Answer:
my name is jeff
Step-by-step explanation:
PLEASE ANSWER THE QUESTION. I HAVE A NAPLAN TEST TOMORROW
Answer:
20 Kg
Step-by-step explanation:
let b represent the weight of 1 bag of sand
after using \(\frac{1}{4}\) of 1 bag there is \(\frac{3}{4}\) bag left along with the unused bag , then
\(\frac{3}{4}\) b + b = 35 ( multiply through by 4 to clear the fraction )
3b + 4b = 140
7b = 140 ( divide both sides by 7 )
b = 20
that is one full bag weighs 20 Kg
What is the system of measurement used most often in the United States?
customary
converted
metric
similar
Answer:
metric po
Step-by-step explanation:
measurements and metric units of measure
To answer my problem view the image
To be 90% certain that the sample percentage is within 5.5 percentage points of the genuine population percentage, we need to survey at least 384 randomly chosen plane passengers.
To calculate the sample size required for the survey, we can use the formula:
\(n = \dfrac{(Z^2 \times p \times q)} { E^2}\)
where:
Z = the z-score associated with the level of confidence (90% in this case), which is 1.645
p = the estimated proportion of passengers who prefer aisle seats (unknown)
q = 1 - p
E = the maximum allowable error (5.5 percentage points)
Since we don't know the proportion of passengers who prefer aisle seats, we can assume a conservative estimate of 50%. This means that p = 0.5 and q = 0.5.
Substituting these values into the formula, we get:
\(n = \dfrac{(1.645^2 \times 0.5 \times 0.5)} { (0.055^2) }= 383.8\)
We need to round up to the nearest integer, so the minimum sample size required is:
n = 384
Therefore, we need to survey at least 384 randomly selected air passengers to be 90% confident that the sample percentage is within 5.5 percentage points of the true population percentage.
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6. Determine the system of equations based on the following relationships and then solve
for the two integers.
a. Fourteen more than twice the first integer gives the second integer
b. The second integer increased by one is the square of the first integer
Answer: (-3,8) and (5,24)
The two pairs of integers that satisfy the given conditions are (-3, 8) and (5, 24).
To solve the system of equations, let's assign variables to the two integers. Let the first integer be represented by 'x' and the second integer by 'y'.
According to the given information:
a. Fourteen more than twice the first integer gives the second integer:
This can be expressed as: 2x + 14 = y
b. The second integer increased by one is the square of the first integer:
This can be expressed as: y + 1 = x^2
Now, we have a system of equations:
1) 2x + 14 = y
2) y + 1 = x^2
To solve this system, we can substitute the value of 'y' from equation 1) into equation 2):
2x + 14 + 1 = x^2
2x + 15 = x^2
Rearranging the equation, we have:
\(x^2 - 2x - 15 = 0\)
Factoring the quadratic equation, we get:
(x - 5)(x + 3) = 0
Setting each factor equal to zero:
x - 5 = 0 --> x = 5
x + 3 = 0 --> x = -3
Substituting the values of 'x' back into equation 1), we can find the corresponding values of 'y':
For x = 5:
2(5) + 14 = y
10 + 14 = y
y = 24
For x = -3:
2(-3) + 14 = y
-6 + 14 = y
y = 8
Therefore, the two pairs of integers that satisfy the given conditions are (-3, 8) and (5, 24).
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I need help with this, please! I need to solve this using inverse operation to isolate the variable.
5-n=0
g has two real eigenvalues . find these eigenvalues, their multiplicities, and the dimensions of their corresponding eigenspaces.
The dimension of the eigenspace corresponding to an eigenvalue is the number of linearly independent eigenvectors associated with that eigenvalue
What is Eigen Value?
Eigenvalues are a unique set of scalar values connected to a set of linear equations that are most likely seen in matrix equations. The characteristic roots are another name for the eigenvectors. It is a non-zero vector that, after applying linear transformations, can only be altered by its scalar factor.
It is not possible to determine the eigenvalues, their multiplicities, and the dimensions of the corresponding eigenspaces of the matrix g without more information about the matrix itself.
In order to find the eigenvalues of a matrix, you need to determine the values of the variables in the matrix and then solve the characteristic equation, which is obtained by setting the determinant of the matrix equal to zero.
The eigenvalues are the roots of the characteristic equation, and the multiplicity of an eigenvalue is the number of times it appears as a root.
The dimension of the eigenspace corresponding to an eigenvalue is the number of linearly independent eigenvectors associated with that eigenvalue.
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How do I do this problem?
Answer:
Step-by-step explanation:
Red Graph: y = x^2 -4x - 5
Blue Graph: x = 2 Axis of symmetry
Points
x intercepts (-1,0),(5,0)
y intercepts: (0,-5)
vertex: (2,-9)
Note: it is just a matter of putting the function on the graph and than read what you are asked for. Between this part of the answer, and the graphs, you should be able to see what you are asked for.
A company created a new container in the shape of a
triangular prism that will hold sunflower seeds. A three-
dimensional image of the container is shown below, as
well as a two-dimensional image of the base.
6 in.
3.2 in.
2 in.
3.2 in.
1 in.
square inches
1 in.
The container will be made from cardboard. How many
square inches of cardboard are needed to make one
container? Assume there are no overlapping areas.
The number of square inches of cardboard that are needed to make one
the container is 18.
We have,
The volume of the triangular prism.
= Area of the triangle x height
Now,
Height = 6 in
And,
To find the area of a triangle, we can use Heron's formula.
A = √(s(s-a)(s-b)(s-c))
where s is the semi-perimeter of the triangle, calculated as:
s = (a + b + c) / 2
In this case, the side lengths of the triangle are 3.2 in, 3.2 in, and 2 in.
Let's calculate the area using Heron's formula:
s = (3.2 + 3.2 + 2) / 2 = 4.2
A = √(4.2(4.2 - 3.2)(4.2 - 3.2)(4.2 - 2))
A = √(4.2 x 1 x 1 x 2.2)
A = √(9.24)
A ≈ 3.04 square inches
Now,
The volume of the triangular prism.
= Area of the triangle x height
= 3.04 x 6
= 18.24 in²
Now,
Area of one cardboard.
= 1² in²
= 1 in²
Now,
The number of square inches of cardboard that are needed to make one
container.
= The volume of the triangular prism / Area of one cardboard
= 18.24 in² / 1 in²
= 18.24
= 18
Therefore,
The number of square inches of cardboard that are needed to make one
the container is 18.
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