Answer:
Using weighed averages, it is found that the final grade is was of 82.03.
The weighed average, which represents the final grade, is given by the sum of the grades multiplied by it's weights.
The higher grade has a weight of 67%.
The higher grade was of 85, on homeworks.
The lower grade has a weight of 33%.
The lower grade was of 76, on the test average.
Step-by-step explanation:
mark me brainliest!
The factor tree for 1,764 is shown.
A factor tree starts with 1,764 on the top. 1,764 branches down to 2 on the left and 882 on the right. 882 branches down to 2 on the left and 441 on the right. 441 branches down to 9 on the left and 49 on the right. 9 branches down to 3 on the left and 3 on the right. 49 branches down to 7 on the left and 7 on the right.
What is the simplest form of StartRoot 1,764 EndRoot?
21
42
32(72)
22(32)(72)
Answer:
42
Step-by-step explanation:
|--------------1764------------|
| |
2 |-------882-----------|
| |
2 |--------441------|
| |
|------9-----| |----49---|
| | | |
3 3 7 7
From the factor tree we see that
\( 1764 = 2^2 \times 3^3 \times 7^2 \)
Now we need to find the square root of 1764.
\(\sqrt{1764} = \sqrt{2^2 \times 3^2 \times 7^2} = \sqrt{(2 \times 3 \times 7)^2} = \sqrt{(42)^2} = 42\)
Step-by-step explanation: It is right trust me.
Is the square root of 126 irrational or rational
Answer:
RATIONAL
Step-by-step explanation:
Jessica needs to rent a moving truck for one day. She can choose to rent a moving truck from Rentals Plus or from Speedy Move. At Rentals Plus, it costs $5.24 to rent a moving truck for one day, plus $4.46 per mile driven. At Speedy Move, it costs $85.24 to rent a moving truck for one day, plus $0.46 per mile driven. How many miles would Jessica have to drive for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move?
Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.
How find how many miles would Jessica have to driveLet's assume the number of miles driven is represented by 'm'. The cost of renting a moving truck for one day at Rentals Plus can be calculated using the equation:
Cost at Rentals Plus = $5.24 + $4.46 * m
Similarly, the cost of renting a moving truck for one day at Speedy Move can be calculated using the equation:
Cost at Speedy Move = $85.24 + $0.46 * m
To find the number of miles that makes the costs equal, we can set up the equation:
$5.24 + $4.46 * m = $85.24 + $0.46 * m
By rearranging the equation, we can solve for 'm':
$4.46 * m - $0.46 * m = $85.24 - $5.24
$4 * m = $80
m = $80 / $4
m = 20
Therefore, Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.
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You pick a card at random. 5 6 7 What is P(odd or greater than 6)?
The answer to the question is 1/3.
There are three possible outcomes: 5, 6, or 7.
Out of these three outcomes, only two satisfy the condition of being odd or greater than 6: 7.
Therefore, the probability of picking a card that is odd or greater than 6 is 1/3, or approximately 0.333 or 33.3%.
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The graphs below show the sales of touchless thermostats, y, for the first 8 months last year. Both graphs show the same information.
Touchless Thermostat
Touchless Thermostat
Sales ($)
80,000
60,000
40,000
20,000
0
Sales
2
4
6
Months since
Start of the Year
Graph A
8
Sales ($)
40,000
30,000
20,000
10,000
0
Sales
To emphasize the slow increase in sales, it would be best for Samantha to use
Samantha should use this graph for her presentation because the sales
2
4 6 8
Months since
Start of the Year
Graph B
Samantha is preparing a presentation and wants to emphasize that the sales increased slowly over the first 8 months last year.
Complete the following sentences.
for her presentation.
Y
on this graph.
To me, Benjamin should use graph A to show the decrease in temperature. It would be best for Benjamin to use this graph for his presentation because the temperature decrease in this graph
What is graph?In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.
here, we have,
How to determine the appropriate graph?
The graphs that complete the question are added as an attachment
From the attached graph, we have the following highlights:
The data points on the y-axis of graph A are in an arithmetic sequence i.e. 30, 60, 90, 120....
The data points on the y-axis of graph B are not in an arithmetic sequence i.e. 60, 20, 40, 80....
The above means that graph B is a misleading graph
Hence, Benjamin should use graph A for his report
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Length of a rectangle is 8 inches and width of it is 3 inches. What is the area?
Answer:
24
Step-by-step explanation:
8 times 3=24
If ⅔ of a number is 20 what is ½ of the number?
Answer:
15
Step-by-step explanation:
2/3 of 30 is 20, so 1/2 of 30 is 15
the answer is in the image above
Charlie has 480 cards, Jack has 520 cards and John 380 cards. How many cards must Charlie and Jack give to John so they can have the same number of cards?
Charlie and Jack need to give John 70 cards each so that they all have the same number of cards.
To find the number of cards that Charlie and Jack must give to John so that they all have the same number of cards, we need to find the average number of cards.
The total number of cards is 480 + 520 + 380 = 1380.
The average number of cards is 1380 ÷ 3 = 460.
To get to this same average, Charlie and Jack together need to give John half of the difference between their total number of cards and the average number of cards.
Half of the difference between their total number of cards and the average number of cards is:
(520 + 480) / 2 - 460 = 70
Therefore, Charlie and Jack together need to give John 140 cards in total, which is twice the amount they need to give each.
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3/2 equals 4x x=
?????
Answer:
0.375
Step-by-step explanation:
3/2 equals 1 and a half, and 1 and a half divided by 4 will get you 0.325
Answer:
4x - 2 = 3x + 1. Solution We substitute the value 3 for x in the equation and see if the left-hand member equals the right-hand member. 4(3) - 2 = 3(3) + 1.
Let A be a 7×5 matrix with rank equal to 4 and let b be a vector in R8. The four fundamental sub- spaces associated with A are R(A), N(AT ), R(AT ), and N (A).
The value of R(A) = 4, N(AT ) = 3, R(AT ) = 4, and N (A) = 3.
Given that
Dimension of matrix = 7×5
Rank of matrix = 4
The range space of A,
Which is a subspace of R, is known as R(A).
It is made up of all conceivable linear combinations of A's columns.
The dimension of R(A) = rank of A,
Which is 4 in this case.
The null space of the transpose of A,
Which is also a subspace of R, is designated as N(AT).
All potential answers to the equation ATx = 0,
Where x is a R column vector, are included in it.
N(AT) has a dimension = nullity of A,
which in this case is 3 in this example.
The range space of the transposition of A, is designated as R(AT).
The rows of A are arranged in all conceivable linear configurations.
The rank of A = 4
Thus it equal to dimension of R(AT).
N(A) is the null space of A.
Axe = 0, where x is a column vector in R, are included in it.
The nullity of AT, which is three, is likewise equivalent to the dimension of N(A).
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Can someone help me :(
Answer:
27/64
Step-by-step explanation:
(3/4)^3 = 27/64
Find the midpoint of the segment with the following endpoints.
(-7, -10) and (-2, -7)
Answer:
\((-4.5 ,-8.5 )\)
Step-by-step explanation:
Midpoint Formula: \((\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )\)
Simply plug in your 2 coordinates into the midpoint formula to find midpoint:
\((\frac{-7+-2}{2} ,\frac{-10+-7}{2} )\)
\((\frac{-9}{2} ,\frac{-17}{2} )\)
\((-4.5 ,-8.5 )\)
MATH
ANSWER and I will give you brainiliest
Answer:
Your answer is correct
Step-by-step explanation:
This is because the rate of production is the programs divided by the days. There are 5 programs and he worked for 6 days, therefore your program is correct.
Answer:
THE ANSWER IS CORRECT
Step-by-step explanation:
BECAUSE HE DID 5 PROGRAMS FOR 6 DAY SO THAT WOULD BE 5 OVER 6
OR 5 DIVIDED BY 6 MARK AS BRAINLIEST PLZ
Find the area of a circle with a radius of 7. Use π = 3.14 and round your answer to the nearest hundredth.
Answer:
153.86 units²
Step-by-step explanation:
You need to find the area of a circle, given that its radius is 7.
I am going to apply the formula:
A = πr²
whereas -
A = areaπ = the number pir = radiushere's a diagram for reference -
\(\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large 7\ cm}\end{picture}\)
--
Plug all the data into the formula:
A = 3.14 * 7^2
A = 3.14 * 49
A = 153.86
\(\bigstar\) Therefore, the area is 153.86 units²
Tell whether the sequence is arithmetic. If it is what is the common
difference? Explain. (2 points)
{1, 5, 9, 13, ...).
Answer:
Sequence is arithmetic
Common difference = 4
Step-by-step explanation:
All arithmetic sequences have a common difference, so if you can determine a common difference in a given sequence, then the sequence is likely to be arithmetic. To find the common difference, subtract a value from its preceding value, and repeat this step to ensure the difference between all values is the same:
5 - 1 = 9 - 5 = 13 - 9
4 = 4 = 4
The common difference = 4, and because there is a common difference, this sequence is arithmetic.
15.5x{(2 x 2.4)+3.2}-2^4
Answer:
108
Step-by-step explanation:
I used a calculator
Simplify sin(u - pi) to a single trig function using a sum or difference of angels identity.
Answer:
- sinu
Step-by-step explanation:
using the difference identity for sine
sin(a - b) = sinacosb - cosasinb
then
sin(u - π )
= sinucosπ - cosusinπ
= sinu(- 1) - cosu(0)
= - sinu - 0
= - sinu
2) A 25 foot ladder leans against a house. The base of the ladder is 7 feet
away from the house. What is h, the height of the house? #2 pleasee
Write an equation of the line that is parallel to y = 1/2x + 3 and passes through the point (2,-4). A) y = 1/2x-4 - 15 B) y = -2x-4 + 15 C) y = -2x-5 D) y = 1/2x - 5
Answer:
D
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = \(\frac{1}{2}\) x + 3 ← is in slope- intercept form
with slope m = \(\frac{1}{2}\)
• Parallel lines have equal slopes , then
y = \(\frac{1}{2}\) x + c ← is the partial equation
to find c substitute (2, - 4 ) into the partial equation
- 4 = \(\frac{1}{2}\) (2) + c = 1 + c ( subtract 1 from both sides )
- 5 = c
y = \(\frac{1}{2}\) x - 5 ← equation of parallel line
Please find the value of X!
Answer:
or,180=3x
or,x=180+3
or,x=183 answer
Answer:
54
Step-by-step explanation:
there are 2 ways
(180 - 18) ÷ 3 = 54
(360-18-18) ÷ 6 = 54
same answer
Esmerelda is a home healthcare provider. When she takes a new client, she charges an initial fee of $32 and an hourly fee of $16 per hour. Her last new client paid her $144. How many hours did Esmerelda work for her new client?
for any integer p, show that p^3+11p will always be a multiple of 6
By the principle of mathematical induction, it has been proved that
\(p^3 + 11p\) is divisible by 6
What is Principle of mathematical induction?
Let the statement be given by P(n). At first P(n) is proved to be true for 1. Then it is assumed that P(n) is true for all n. If P(n) is true for (n+1) then by Principle of Mathematical induction, P(n) is true for all natural numbers
The given expression is \(p^3 + 11p\)
For p = 1
\((1)^3 + 11 \times 1\\12\)
which is a multiple of 6
Let it be true for p = m
\(m^3 + 11m\) is a multiple of 6
\(m^3 + 11m = 6k\), where k is any integer
For p = m + 1
\((m+1)^3 + 11(m+1) \\m^3+3m^2+ 3m +1+11m+11\\m^3+11m +3m^2+3m+12\\m^3+11m + 3m(m+1) + 12\)
Now,
\(m^3 + 11m\) is divisible by 6
We know that the product of two consecutive integers are divisible by 6
\(3m(m+1)\) is divisible by 6
12 is divisible by 6
\((m+1)^3 + 11(m+1)\) is divisible by 6
So it is true for p = m + 1
By the principle of Mathematical induction, it is true for all natural numbers and eventually for all integers
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Which is the smallest ratio?
2
3 to 4, 3, 10:12, 2 to 1
O 3 to 4
O 10:12
O2 to 1
Comparing the three in their simplest form we have the smallest ratio as 3 to 4.
What is a ratio and how does it apply to math and daily life?A mathematical phrase that compares two values is called a ratio. It is written as the product of the division of two different quantities. As in 2:1 or 2/1, ratios are frequently expressed as a fraction or with a colon.
Mathematicians employ ratios in many different contexts, such as arithmetic, algebra, and geometry. They are used to compare amounts, identify equivalent values, and resolve proportional and rate-of-change issues.
Convert the ratios in their simplest form:
3 to 4 can be simplified by dividing both terms by their greatest common factor, which is 1. Therefore, 3 to 4 is already in its simplest form.
10 to 12 can be simplified by dividing both terms by their greatest common factor, which is 2. So, 10 to 12 simplifies to 5 to 6.
2 to 1 is already in its simplest form.
Thus, comparing the three we have the smallest ratio as 3 to 4.
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does somebody knows how to do this one?
Answer:
Step-by-step explanation:
To find the area subtract the area of the semicircle from the area of the rectangle.
Although the line isn’t there, if you imagine there is one, then you will see that you form a rectangle which is the same line as the semicircle’s diameter.
The area of rectangle is:
⇒ \(A = lw\)
⇒ \(A = (14)(8)\)
⇒ \(A = 112cm^{2}\)
The area of the semicircle;
⇒ \(A = \frac{1}{2}\pi r^{2}\)
⇒ \(A = \frac{1}{2}\pi (7)^{2}\)
*Note here that the radius is half the diameter, so it is 7cm, not 14cm
⇒ \(A = 76.97cm^{2}\)
Finally subtract the two areas;
⇒ \(A = 112 - 76.97\)
⇒ \(A = 35.03cm^{2}\)
Two distinct lines, and m, are each perpendicular to the same line n. Select all the truestatements.
Given two distinct lines, l and m, each perpendicular to the same line n.
For perpendicular lines, the gradient or slope of one of the lines is the negative inverse of the other.
For instance, if
\(\begin{gathered} m_1_{}\text{ is the slope of one of the perpendicular lines, the} \\ \text{slope of the other line would be }\frac{-1}{m_1} \end{gathered}\)Therefore,
\(\text{ If the slope of line l is }m_1\text{ then the slope of line n would be }\frac{-1}{m_1}\)Also,
\(\begin{gathered} \text{ Since line m is also perpendicular to line n, the slope of the line m} \\ \text{would be }m_1 \end{gathered}\)Hence, we have the following options to be correct.
B. Lines l and n are perpendicular
C. Lines m and n are perpendicular
D. Lines l and m are parallel
write out the sample space for the given experiment. use the following letters to indicate each choice: w for white, o for orange, y for yellow, c for cherry, e for ebony, and m for maple.while renovating your house, you have a choice of paint colors for your game room: white, orange, or yellow. you also have the following options for the finish on your entertainment center: cherry, ebony, or maple.
The Sample space would be
{(w,c), (w,e), (w,m), (o, c) (o,e), (o,m), (r,c), (r,e), (r,m)}
According to the question,
Colors for room are { w, o,r}
Entertainment center would be { c, e, m}
A set that consists of all possible outcomes and the result from a random experiment( real or conceptual) is called a sample set. The experiment of tossing a coin results in either of two possible outcomes; a head (H) or a tail (T). The sample space for this experiment is S= {H, T}. If we take a sample space by tossing two coins the result would be S={HH, HT, TH, TT}.
So, the Sample space would be
{(w,c), (w,e), (w,m), (o, c) (o,e), (o,m), (r,c), (r,e), (r,m)}
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A rectangular garden is to be constructed using a rock wall as one side of the garden and wire fencing for the other three sides. Given that there are 30 meters of fencing available, determine the dimensions that would create the garden of maximum area. What is the maximum possible area?
The dimensions of the garden that create the maximum area are 5 meters by 15 meters, and the maximum possible area is 75 square meters
What is measurement?
Measurement is the process of assigning numerical values to physical quantities, such as length, mass, time, temperature, and volume, in order to describe and quantify the properties of objects and phenomena.
Let's assume that the rock wall is the width of the garden and the wire fencing is used for the length and the other two sides. Let's denote the length of the garden as L and the width as W.
Since we have 30 meters of fencing available, the total length of wire fencing used is:
L + 2W = 30 - W
Simplifying this equation, we get:
L = 30 - 3W
The area of the garden is:
A = LW
Substituting the expression for L from the previous equation, we get:
A = W(30 - 3W)
Expanding the expression, we get:
A = 30W - 3W²
To find the maximum area, we need to take the derivative of A with respect to W and set it equal to zero:
dA/dW = 30 - 6W = 0
Solving for W, we get:
W = 5
Substituting this value back into the expression for L, we get:
L = 15
Therefore, the dimensions of the garden that create the maximum area are 5 meters by 15 meters, and the maximum possible area is:
A = 5(15) = 75 square meters
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Which shows how to solve the equation 7x--for x in one step?
X=-6
3
(4)X = -6(4)
(4)X = -6(3)
(9)
3
X=-6
Answer:
the answer is the first option
can someone help me with this
The sine equation for the object's height is given as follows:
d = -5sin(0.24t).
How to define the sine function?The standard definition of the sine function is given as follows:
y = Asin(Bx) + C.
The parameters are given as follows:
A: amplitude.B: the period is 2π/B.C: vertical shift.The amplitude for this problem is of 5 inches, hence:
A = 5.
The period is of 1.5 seconds, hence the coefficient B is given as follows:
2π/B = 1.5
B = 1.5/2π
B = 0.24.
The function starts moving down, hence it is negative, so:
d = -5sin(0.24t).
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A container with an open top is to have 10 m3 capacity and be
made of thin sheet metal. Calculate the dimensions of the box if it
is to use the minimum possible amount of metal.
The dimensions of the box if it is to use the minimum possible amount of metal are,
⇒ 2.714 m, 2.714 m, 1.358 m
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
A container with an open top is to have 10 m³ capacity.
Now,
Let the dimensions are x, y and z.
Since, Volume of box = 10 m³
Hence, We get;
⇒ xyz = 10
⇒ z = 10/xy
Since, A container is open in top.
Hence, The surface area = 2xz + 2yz + xy
Substitute z = 10/xy;
⇒ S.A = 2x (10/xy) + 2y (10/xy) + xy
= 20/y + 20/x + xy
For minimum metal;
⇒ d (S.A)/ dx = 0
⇒ - 20/x² + y = 0
⇒ y = 20/x² ..(i)
And, d (S.A) / dy = 0
⇒ - 20/y² + x = 0
⇒ x = 20/y² ..(ii)
Divide equation (i) and ((ii);
⇒ x = y
Hence, We get;
⇒ xyz = 10
⇒ x³ = 10
⇒ x = 2.714
And, y = 2.714
So, The value of z is,
⇒ z = 10/xy
⇒ z = 10 / 2.714×2.714
⇒ z = 1.358 m
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