Answers
Answer:
So option B is the correct answer .
Step-by-step explanation:
Since it is the multiplication of 1 X 3 matrix to 3 X 3 order matrix,
so the resultant product should be 1 X 3 because when we multiply two matrices it is the condition that if A is of order p X q and B is of order q X r,
the product matrix (suppose C ) will be of order p X r.
so the product will be
= [-1*3+2*2+4*0 -1*6+2*4+4*6 -1*1+2*0+4*2]
= [ 1 26 7] .
Related Questions
Josephina is five years older than Cameron and the sum of their ages is 31. Can you write or type an equation and solve it to figure out their ages? Or, must you use the 5-D process to solve? Either way, find a way to solve it. How old are Josephina and Cameron? Show that your answer is correct.
Answers
Cameron - х years
Josephina is five years older than Cameron = х+5 years
sum of their ages is 31
х+х+5=31
2х=31-5
2х=26
х=13 Cameron
13+5=18 Josephina
The age of Josephina and Cameron is 13 and 18.
The calculation is as follows:
here Cameron be х years
And, Josephina is five years older than Cameron so х+5 years
Also,
The sum of their ages is 31
Now
х+х+5=31
2х=31-5
2х=26
х=13 Cameron
13+5=18 Josephina
learn more: https://brainly.com/question/18269454?referrer=searchResults
A right triangle has coordinates A(6, 0), B(0, 0), and C(0, 8). What is the perimeter of the triangle?
A. 18 units
B. 20 units
C. 24 units
D. 28 units
Answers
Answer:
C
Step-by-step explanation:
From the given coordinates
A(6, 0), B(0, 0) then AB = 6 - 0 = 6
B(0, 0), C(0, 8) then BC = 8 - 0 = 8
To calculate AC use Pythagoras' theorem on the right triangle formed
AC² = AB² + BC² = 6² + 8² = 36 + 64 = 100
Take the square root of both sides, hence
AC = [tex]\sqrt{100}[/tex] = 10
Perimeter = AB + BC + AC = 6 + 8 + 10 = 24 → C
the point slope form of the equation of a line that passes through (8,4) and (0,2) is y-4=1/4(×-8) what is the slope intercept form of the equation for this line.
Answers
Answer:
[tex]\large\boxed{y=\dfrac{1}{4}x+2}[/tex]
Step-by-step explanation:
The slope-intercept form of the equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept → (0, b)
The point-slope form of the equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
m - slope
(x₁, y₁) - point
We have the equation of a line:
[tex]y-4=\dfrac{1}{4}(x-8)\to m=\dfrac{1}{4}[/tex]
and the point (0, 2) → b = 2.
Substitute:
[tex]y=\dfrac{1}{4}x+2[/tex]
Answer:
Step-by-step explanation:
DDD
Which type of function is the result of adding a quadratic function and a linear function?
A. a linear function
B. a quadratic function
C. a rational function
D. a cubic function
Answers
Answer:
B
Step-by-step explanation:
D: You will not get a cubic function. Nothing adds to give a term with x^3 in it.
C: A rational function is of the form (x^2 + 3x + 2) / (x^2). In other words it has a numerator and a denominator that are polynomials. Unless one or both started out like that, the answer is not a rations function.
A: It can't be linear. The x^2 term will carry over after addition.
The answer is B. One of the polynomials started out as a quadratic. It will remain that way.
Subtract 6 ounces from 3 pounds.
5 lb., 7 oz.
6 lb., 3 oz.
2 lb., 10 oz.
2 lb., 13 oz.
Answers
Answer:
the answer is c
Step-by-step explanation:
Final answer:
To subtract 6 ounces from 3 pounds, convert 3 pounds to ounces (3 x 16 = 48 ounces), subtract 6 ounces (48 - 6 = 42 ounces), then convert back to pounds and ounces (42 ounces = 2 pounds and 10 ounces). The answer is 2 pounds, 10 ounces.
Explanation:
Subtracting Ounces from Pounds
The question asks to subtract 6 ounces from 3 pounds. In order to compare or subtract different units of weight, it is essential to convert them to the same unit. Firstly, we must remember the unit equivalence where 1 pound = 16 ounces. Now, to start the conversion, we multiply the number of pounds by 16 to get the total number of ounces, which is a step in solving these types of conversion problems.
Therefore, for 3 pounds:
3 pounds × 16 ounces/pound = 48 ounces.
Now subtract the given ounces: 48 ounces - 6 ounces = 42 ounces.
Since we know there are 16 ounces in a pound, we divide the total ounces by 16 to convert back to pounds and ounces.
42 ounces ÷ 16 ounces/pound = 2 pounds with a remainder of 10 ounces.
Hence, subtracting 6 ounces from 3 pounds gives us 2 pounds, 10 ounces.
The total, t, divided into 5 groups is 45
Answers
Step by step
9x5=45
2. The amount of fertilizer in a landscaping company’s warehouse decreases at a rate of 3% per week. The amount of fertilizer in the warehouse was originally 78,000 cubic yards. What function models the amount of fertilizer in cubic yards left after w weeks?
Exponential Growth: y=a*b^x where a initial amount and b is the growth factor.
Sarah identified the initial amount as 78000 and the rate as 3%. She wrote her equation as: y=78,000 〖(3)〗^x.
Error:
Correct solution:
Answers
The error is the way she wrote 3%
3% = 0.03
The correct equation should be y = 78,000(0.03)^x
Length of the missing leg is:
Pythagorean theorem - Integers -
Find the missing leg
PLEASE HELP
(need to show work)
Im so confused!!
Answers
The lengths of the legs of each triangle are:
1) Leg = √19
2) Leg = √105
3) Leg = √60
How to use Pythagoras Theorem?
Pythagoras Theorem is defined as the way in which you can find the missing length of a right angled triangle.
The triangle has three sides, the hypotenuse (which is always the longest), Opposite (which doesn't touch the hypotenuse) and the adjacent (which is between the opposite and the hypotenuse).
Pythagoras is in the form of;
a² + b² = c²
a = √(c² - b²)
1) We are given that:
Hypotenuse = 10
Opposite side = 9
Thus, using Pythagoras Theorem, we have:
Leg = √(10²- 9²)
Leg = √19
2) We are given that:
Hypotenuse = 19
Opposite side = 16
Thus, using Pythagoras Theorem, we have:
Leg = √(19²- 16²)
Leg = √105
3) We are given that:
Hypotenuse = 8
Opposite side = 2
Using Pythagoras Theorem, we have:
Leg = √(8²- 2²)
Leg = √60
in the figure PQ is parallel to RS. the length of RP is 6 cm; the length of PT is 18 cm; the length of QT is 21 cm; what is the length of SQ?
Answers
Answer:
Option A. [tex]SQ=7\ cm[/tex]
Step-by-step explanation:
we know that
In the figure
The triangles PTQ and RTS are similar by AA Similarity Theorem
so
Remember that
If two figure are similar, then the ratio of its corresponding sides is equal
so
[tex]\frac{PT}{RT}=\frac{QT}{ST}[/tex]
we have
[tex]PT=18\ cm[/tex]
[tex]RT=RP+PT=6+18=24\ cm[/tex]
[tex]QT=21\ cm[/tex]
[tex]SQ=ST-21\ cm[/tex] ------> equation A
substitute the values and solve for ST
[tex]\frac{18}{24}=\frac{21}{ST}[/tex]
[tex]ST=21*24/18[/tex]
[tex]ST=28\ cm[/tex]
substitute the value of ST in the equation A to find the value of SQ
[tex]SQ=28-21=7\ cm[/tex]
Answer: 77cm
Step-by-step explanation:
Sasha bought 3 and 1/2 pints of blueberries to make jelly she ate 3/4 of a pint of varies on her way home how many pints of berries does she have left to make jelly
Answers
3 1/2 pints - 3/4 pints
3 1/2 = 3 2/4
3 2/4 = 2 6/4
2 6/4 - 3/4
2 3/4
Answer: 2 3/4 pints of berries
Sasha bought 3 and 1/2 pints of blueberries, ate 3/4 of a pint, and after calculating, she has 2 and 3/4 pints left for making jelly.
The student, Sasha, initially bought 3 and 1/2 pints of blueberries and then ate 3/4 of a pint. To find out how many pints of berries she has left, we need to subtract the amount eaten from the amount bought.
We calculate:
Convert the mixed fraction to an improper fraction:Subtract the amount eaten:
(7/2) - (3/4) pints =
To subtract these fractions, we need a common denominator. The least common denominator for 2 and 4 is 4.
7/2 becomes 14/4 after multiplying both numerator and denominator by 2.Now we have:14/4 pints - 3/4 pints = (14 - 3)/4 = 11/4 pints
Converting 11/4 pints back to a mixed number, we get 2 and 3/4 pints. Therefore, Sasha has 2 and 3/4 pints of blueberries left to make jelly.
Find the mean and the median of this data set: 9, 6, 5, 3, 28, 6, 4, 7
Answers
Answer:
The means is 8.5 The Median is 6
Step-by-step explanation:
1) to find the mean just Simply add all the numbers together and divided by how many numbers that is giving. (Because you are simply finding the average)
9+6+5+3+28+6+4+7=68
68 divided by 8 = 8.5
2) to find the median simply organize the numbers from least to greatest Like this: (3,4,5,6,6,7,9,28) Then keep crossing out from both sides teal you find the middle Number.
If there a odd amount of number the median will be one Number, if even 2 numbers ( if 2 numbers just add them both and divide by 2)
In This Case the Median is 6,6 but Its actually 6 Why (6+6=12) and (12/2=6) so your median is 6.
Hopes This helps!
The mean of the given data 9, 6, 5, 3, 28, 6, 4, 7 is 8.5 and the median is 6.
The mean is defined as the average of all the values or the mean can be defined as the sum of all observations by the total number of observations.
[tex]Mean =\dfrac {\ Sum \ of \ all \ observation}{Total \ number \ of \ observation}[/tex]
[tex]Mean = \dfrac{9 + 6 + 5 + 3 + 28 + 6 + 4 + 7}{8}[/tex]
Mean = [tex]\dfrac{68}{8}[/tex]
Mean = 8.5
Therefore, the mean of the data set is 8.5.
The median is defined as:
The median is the middle value when the data set is arranged in ascending or descending order.
If there are two middle values, the median is the average of those two values.
Arrange the data set in ascending order: 3, 4, 5, 6, 6, 7, 9, 28.
Here n = 8, since n is even so the median is calculated as:
Median = [tex]\dfrac{(\dfrac{n}{2}) \ th \ observation + (\dfrac{n}{2}+1) \ th \ observation}{2}[/tex]
Median =[tex]\dfrac{( 4 \ th \ observation + 5 \ th \ observation)}{2}[/tex]
The 4th observation is 6 and the 5th observation is 6.
So, this mean will be 6.
Therefore, the median of the data set is 6.
The Mean is 8.5 and the median is 6.
Learn more about the median here:
https://brainly.com/question/1157284
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There are 12 contestants in a coloring contest. Three ribbons will be awarded. How many different ways could the ribbons be awarded?
Answers
Answer:
1320 ways
Step-by-step explanation:
Here we have a situation where 3 ribbons will be awarded to 3 of the 12 contestants. We can use the permutation formula, because the order of awarding the ribbons matters.
The permutation formula is:
[tex]_{n}P_{k}=\dfrac{n!}{(n-k)!}[/tex]
n = 12
k = 3
Now that we have our variables, let's plug them into the formula.
[tex]_{12}P_{3}=\dfrac{12!}{(12-3)!}[/tex]
[tex]_{12}P_{3}=\dfrac{12!}{9!}[/tex]
[tex]_{12}P_{3}=1320[/tex]
So there are 1320 different ways that the contestants will be awarded.
X-10<6-5x , I need the inequality solved please:)
Answers
Answer:
x < [tex]\frac{8}{3}[/tex]
Step-by-step explanation:
Given
x - 10 < 6 - 5x ( add 5x to both sides )
6x - 10 < 6 ( add 10 to both sides )
6x < 16 ( divide both sides by 6 )
x < [tex]\frac{16}{6}[/tex], that is
x < [tex]\frac{8}{3}[/tex]
Lina bought x rolls of film at $5.00 per roll and spent $25. How many rolls of film did Lina buy? (MUST SHOW WORK)
Answers
Answer:
Step-by-step explanation:
If Lina supposedly bought 10 rolls, we would show it by the following equation,5*10=50, and since 25 is half of 50, we would have 5 as our solution.
25/5=5
5 rolls of films is our solution
explain how to convert numbers from standard form to scientific.
Answers
Answer:
Start by moving the decimal place in the number until you have a coefficient between 1 and 10. The number of places to the left that you had to move the decimal point is the exponent. so for example, 0.000345 would be 3.45(10)^4
Step-by-step explanation:
Hope that helps!
Bonita said that the product of 5/6 × 1 2/3 is 7/ 3. How can you tell that her answer is wrong?
Answers
Answer:
See below
Step-by-step explanation:
Because her answer is greater than 2 (7/3 = 2 1/3)
We are multiplying a number less than 2 (1 2/3) by a number less than 1 (5/6), so we have less than one of the number 1 2/3, which has to be less than 1 2/3.
let's firstly convert the mixed fraction to improper fraction.
[tex]\bf \stackrel{mixed}{1\frac{2}{3}}\implies \cfrac{1\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{5}{3}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{5}{6}\times \cfrac{5}{3}\implies \cfrac{25}{18}\implies 1\frac{7}{18}[/tex]
Disuss the difference between fixed expenses and variable expenses as they relate to a budget?
Answers
The difference between fixed expenses and variable expenses is that fixed expenses do not change, regardless of how many items are produced. Variable expenses change based on the number of items produced.
An example of a fixed expense is the rent. The rent is always the same amount, regardless of production.
Materials would be a variable expense. You need enough material to make each item, so the more items you produce, the more material you need.
the sum of two numbers is 21 and their difference is 5
Answers
X+Y = 21 ---> Y = 21-x
X-y = 5
x - (21-x) = 5
2x - 21 = 5
2x = 26
x = 13
13 and 8
The two numbers are 13 and 8.
13 + 8 = 21
The difference (13 - 8) is 5.
Hey can someone answer this ASAP
Answers
Answer:
csc θ = [tex]\sqrt{85}[/tex]/6
sec θ = [tex]\sqrt{85}[/tex]/7
tan θ = 6/7
Step-by-step explanation:
The first thing to do will be to compute the length of the hypotenuse using the Pythagoras theorem;
6^2 +7^2 = hypotenuse^2
hypotenuse = [tex]\sqrt{85}[/tex]
csc θ = 1/sinθ
sinθ = opposite side/hypotenuse
= 6/[tex]\sqrt{85}[/tex]
csc θ = [tex]\sqrt{85}[/tex]/6
sec θ = 1/cosθ
cosθ = adjacent side/hypotenuse
sec θ = hypotenuse/adjacent side
= [tex]\sqrt{85}[/tex]/7
tan θ = Opposite side/adjacent side
= 6/7
Which function is represented by the graph
f(x)= -|x|+4
f(x)= -|x|-4
f(x)= -|x+4|
f(x)= -|x-4|
Answers
It’s the forth one
The answer is -|x-4|.
Answer:y=-|x-4|
Step-by-step explanation:
we know the graph of y=|x| touches at x=0 and opens upward towards y axis
but this graph is facing downwards therefore it should be of form
y=-|x|
but it touches the x axis at x=4
therefore the graph is represented by
y=-|x-4|
4 is added inside the mod because it intersect x axis at x=4
The graph would be y=-|x-4|+1 if it shifts 1 unit upwards.
Jack rolls two standard number cubes.find the probability that the sum of the roll is 5, given that one cube up even and the other came up odd
Answers
Answer:
[tex]\frac{4}{36}[/tex] or [tex]\frac{1}{9}[/tex]
Step-by-step explanation:
We are given that Jack rolls two standard number cubes and we are to find the probability that the sum of the roll is 5, given that one cube up even and the other came up odd.
A sum of two from two rolls would always be one even and one odd, whatsoever is the case.
To have a sum of five, we can have (1, 4), (2,3), (3,2) or (4,1) out of a sample space of 36 so the probability will be [tex]\frac{4}{36}[/tex] or [tex]\frac{1}{9}[/tex].
URGENT! Which of the following correctly expresses sin(2θ)−sin(6θ) as a product?
Select the correct answer below:
2sin(4θ)cos(2θ)
2sin(2θ)cos(4θ)
−2sin(2θ)cos(4θ)
−2sin(2θ)sin(4θ)
Answers
Answer:
−2sin(2θ)cos(4θ)
Step-by-step explanation:
sin(2∅)-sin(6∅)
Sum product Identity
sinα - sinβ = 2cos((α+β)/2)sin((α-β)/2)
Putting α= 2∅ and β= 6∅ in the identity we get
sin(2∅)-sin(6∅) = 2cos((2∅+6∅)/2)sin((2∅-6∅)/2)
=2cos(8∅/2)sin(-4∅/2)
=2cos(4∅)sin(-2∅)
= -2sin(2∅)cos(4∅)
Two seniors, one from each government class are randomly selected to travel to Washington, D.C. Wes is in a class of 18 students and Maureen is in a class of 20 students. Find the probability that both Wes and Maureen will be selected.
Answers
Answer: 1 out of 19
Step-by-step explanation:
add up all of the students, wes and maureen are two people, so it's two out of thrity eight, then just simplify it and you're done <3
The probability that both Wes and Maureen will be selected is 1/360.
What is probability?Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.
Given, Wes is in a class of 18 students and Maureen is in a class of 20 students.
Now, this is an independent event, therefore, the probability that both Wes and Maureen will be selected will be,
= (1/18)×(1/20).
= 1/360.
learn more about probability here :
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535 invenstment compounded continuosly for 10 years at 6 percent
Answers
Answer:
[tex]\$974.83[/tex]
Step-by-step explanation:
we know that
The formula to calculate continuously compounded interest is equal to
[tex]A=P(e)^{rt}[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
e is the mathematical constant number
we have
[tex]t=10\ years\\ P=\$535\\ r=0.06[/tex]
substitute in the formula above
[tex]A=\$535(e)^{0.06*10}=\$974.83[/tex]
Which numbers are factors of 4? Select all that apply.
1
4
2
3
Answers
Answer:
1,2,4
Step-by-step explanation:
Factors are the numbers that we can multiply together to make 4
1*4 = 4
2*2 = 4
The factors are 1,2 and 4
Answer:
1, 2 and 4Step-by-step explanation:
[tex]Factors\ of\ 4:\ 1,\ 2,\ 4\\\\4=4\cdot\boxed{1}\\4=2\cdot\boxed2\\4=1\cdot\boxed4[/tex]
If Kayla babysits for 3 hours, she will earn$27. How much will she earn for 4 hours?
Answers
Answer:
kayla will earn $26
She will earn $36.00 in 4 hours.
27 divided by 3 = 9
9 x 4 = 36
Hope this makes sense and helps.
How do I find and what is the x?
Answers
Answer:
STEP ONE: 2x
STEP TWO: 5=X (should be the final answer)
Step-by-step explanation:
Hi Lasagna!
So basically, this is extremely simple. In order to "solve" that equation, the x has to be on one side. The easiest way to do this would be to take the 2x to the other side. If you want the 2x to go to the other side, you need to subtract it (since it is already positive, therefore it needs to cancel out). Once you do that, you must always do the same thing to the other side: subtract 2x from 3x. That should get you one x there, which you can just write as x if it's just one. Then you're all set! :D
Answer: step 1. 2 from both sides
Step-by-step explanation:
just take away the = number by doing the opposite action for ex. if it it 2x then divide both sides by 2.
The number of students at Bedrock Middle School decreased to 90 % last year's number. Last year, there were 1,500 students. How many students are there this year?
Answers
Answer:
1,350 students
Step-by-step explanation:
The number of students this year is 90% of the number from last year. Find 90% of 1500....
90% is 0.9 as a decimal,
0.9(1500) = 1,350 students
Answer: 2i50 students
Step-by-step explanation:
Do 90% of 1,500
10% = 150
150 x 9 = 1350
We need the total amount of students
So do 1350 + 1500 = 2850 students
Harry made fruit punch using 2 parts orange juice to 2 parts soda water. The amount of soda water that Harry used is directly proportional to the amount of orange juice he used. How many cups of orange juice should Harry use with 18 cups of soda water?
Answers
Final answer:
To find out how many cups of orange juice Harry should use with 18 cups of soda water, set up a proportion and solve for x.
Explanation:
In this problem, we know that Harry uses 2 parts orange juice to 2 parts soda water for his fruit punch. This means that for every 2 cups of orange juice, he uses 2 cups of soda water. Since the amount of soda water is directly proportional to the amount of orange juice, we can set up a proportion to find out how many cups of orange juice Harry should use with 18 cups of soda water.
2 cups orange juice / 2 cups soda water = x cups orange juice / 18 cups soda water
To solve the proportion, we can cross multiply:
2 cups orange juice * 18 cups soda water = x cups orange juice * 2 cups soda water
36 cups orange juice = 2x cups soda water
By dividing both sides of the equation by 2, we find that Harry should use 18 cups of orange juice with 18 cups of soda water.
Last option is none of the above
Answers
Answer:
A and B
Step-by-step explanation:
When rotating a point (or any shape around a certain point), none of the diameters of the shape will change. So for example, with this circle, when you rotate it around a point, the radius and circumference will not change because it has just rotated. It wont be on the x-axis though because point P is not on the x-axis an it is being rotated 180 degrees about point P. Just know that when you are rotating, nothing about the shape changes, all angles or measurements will be the same, it is just moving to a different place.
Hope this helped ^-^