Multiplying a matrix by a constant scales every entry in the matrix by that constant:
\(A=\begin{bmatrix}-3&5&2\\8&-1&3\end{bmatrix}\implies-6A=\begin{bmatrix}18&-30&-12\\-48&6&-18\end{bmatrix}\)
Can somebody plz help answer these questions correctly (only if u know how) thanks!! :D
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST!!
Answer:
Step-by-step explanation:
35. 4
36. 4
37. 16
38. 4
39. 2
40. 2
Answer:
35. 4
36. 4
37. 16
38. 4
39. 2
40. 2
Step-by-step explanation:
35. Y/3
= 12/3
= 4
36. x/2
= 8/2
= 4
37. xy/6
= 8 * 12/6
= 96/6
= 16
38. y/6 + x/4
= 12/6 + 8/4
= 2 + 2
= 4
39. 24/x - 1
= 24/8 - 1
= 3 - 1
= 2
40. y + 2/7
= 12 + 2/7
= 14/7
= 2
a proportional relationship can be shown in two different ways:
Scott types at a rate of 26 words per minute.
How many words does he type in2 minutes?
Answer:
52
Step-by-step explanation:
26 * 2 = 52
If he does 26 words in one minute, in two minutes he will do twice that.
Have a nice day!
If this is not what you are looking for - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Answer:
52
Step-by-step explanation:
Its just basic math? 26*2=52
81 equals what of the power of 3
Answer:
531441
Step-by-step explanation:
Answer= The answer is 34=8194=6561
I NEED HELP QUICKLY for both X
The solution of the quadratic equation is x = 2. Therefore, \(\frac{4+\sqrt{-4^{2}-4(1)(4) } }{2(1)}\) or \(\frac{4-\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)
How to solve quadratic equation?The quadratic formula can be use to solve the quadratic equation as follows:
x² - 4x + 4 = 0
Modelling it to quadratic equation, ax² + bx + c
Hence,
using quadratic formula,
\(\frac{-b+\sqrt{b^{2}-4ac } }{2a}\) or \(\frac{-b-\sqrt{b^{2}-4ac } }{2a}\)
where
a, b and c are the coefficient in the equationHence,
a = 1
b = -4
c = 4
Therefore,
\(\frac{4+\sqrt{-4^{2}-4(1)(4) } }{2(1)}\) or \(\frac{4-\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)
Finally
x = 2
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Describe how
you might model each on a number line.
1. You owe your friend $10.
a.
You borrow an additional $5.
What's the Difference?
Answer:
If you owe your friend 10 dollars that would be -10 on a number line and then you borrow 5 dollars which means you owe that money too and you would continue to move left on the number line 5 spaces.
Step-by-step explanation:
Kayla bought 16 bagels. Each bagel cost $1.50. She paid a total of $20. Write an equation to determine how many bagels she bought.
in an attempt to gauge the opinion of a particular local, sensitive political topic, you collect data on the individuals in your neighborhood. among the variables collected are age, gender, and opinion on the topic. from the information collected, you calculate the average age to be 25 years old and the standard deviation of the ages to be zero years old. what must you conclude.
it would be beneficial to analyze other variables such as gender and opinion on the topic for a more comprehensive understanding of the local political opinion.
If the standard deviation of the ages is zero, then all individuals in the sample must have the same age of 25 years old. This means that the sample is not diverse and may not be representative of the entire neighborhood's opinion on the political topic. Therefore, conclusions drawn from this sample may not accurately reflect the opinions of the entire population. It is important to ensure that the sample is diverse and representative to make valid conclusions about a sensitive political topic.
Based on the data you collected, which includes age, gender, and opinion on the local sensitive political topic, you calculated the average age to be 25 years old and the standard deviation of the ages to be zero years old. This means that all individuals in your neighborhood are exactly 25 years old. Since there is no variation in age, it would be beneficial to analyze other variables such as gender and opinion on the topic for a more comprehensive understanding of the local political opinion.
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write the row vectors and the column vectors of the matrix. −2 −3 1 0
The row vectors of the matrix are [-2 -3 1 0], and the column vectors are:
-2-310In a matrix, row vectors are the elements listed horizontally in a single row, while column vectors are the elements listed vertically in a single column. In this case, the given matrix is a 1x4 matrix, meaning it has 1 row and 4 columns. The row vector is [-2 -3 1 0], which represents the elements in the single row of the matrix. The column vectors, on the other hand, can be obtained by listing the elements vertically. Therefore, the column vectors for this matrix are -2, -3, 1, and 0, each listed in a separate column.
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Question, if 1 = 10, 2 = 12, 3 = 14, and 4 = 16, what would 5 equal?
Answer:
5=18
Step-by-step explanation:
they are counting by 2s 10,12,14,16,18
Hope this helps!
Answer:
18
Step-by-step explanation:
It seems like for this pattern, as the x-value(base value) increases, the corresponding y-value(value changing with the base value) increases by 2 given that the function starts with a y-intercept of 8. So at the value 0, the corresponding number would be 8. So in this case, by creating a function regrading this information we can solve for the corresoponding value of 5: y = 2x + 8
y = 2 * 5 + 8
y = 10 + 8
y = 18
5 = 18
Another way to approach this is just by following the pattern given to us in the description. We see that the pattern starts at 10, and increases by 2 for each increasing base value. Therefore, if 4 = 16, then 16 + 2 = 5, so 5 = 18.
∠1 and ∠ 2 are vertical angles. If m∠1 = (6x + 11)° and m∠2 = (10x – 9)°, find m∠1. *
Answer:
the answer is 41
Step-by-step explanation:
set both equations equal to each other
then add 9 to the opposite side
next subtract 6 from the other side
divide 20 by 4 and get 5
finally plug 5 into the equation for x for angle 1
which leaves you at the end with 41
1. Determine if the polygons are similar.
2. If they are, write a similarity statement. If they aren't, put n/a in this blank.
3. If the polygons are similar, find the scale factor of EFGH to KLMN. If they aren't similary, put n/a in this blank.
help please
the cost of a computer repair is worked out using the formula C = 35 + 15h.
C represents the cost in dollars.
H is the time taken in hours.
use the formula to find the cost of repair that takes 3 hours.
Answer: C = 35 + 15 x 3 = 80
Step-by-step explanation:
15h = 15 x (h) = 15 x 3 = 45 + 35 = $80
C = (15 x 3) + 35 = 80
Help with this guys which is the correct answer:(((
Answer:
A
Step-by-step explanation:
16 gallons of water are used to completely fill 5 fish tanks. If each tank holds the same amount of water, how many gallons will each tank hold?
Sylvia has 6 1/2 boxes of chocolate to share at a family picnic. If she gives each person 1/3 of a box, how many people can receive chocolate?
The number of persons that would be able to receive the chocolates based on the question is 19
How to solve for the numberThe total number of chocolate = 6 1/2
This can be written to be 13 / 2 or 6.5
The number or amount that she has to give from what is contained in the box to each person is 1/3 = 0.33
Hence to get the number of people that would receive the chocolate we would have
6.5 / 0.33
= 19.5
This can be approximated to 19
Hence the total number that would receive the chocolate is 19
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Two friends are renting a property with a monthly rent of $1,150. The total square footage is 1,225 square feet, the first bedroom is 140 square feet, and the second bedroom is 125 square feet. Determine how much the friend with the smaller bedroom will pay for rent if they split the cost based on the square footage of each bedroom. (2 points)
$540.35
$556.25
$567.95
$582.05
The proportion of rent that the friend with the smaller bedroom has to pay is 125/265. So his share of the rent is $540.35.
What is a ratio ?Suppose the distance from your house to your school is 2 miles, while the distance from your house to the nearest park is 3 miles.
Then we say that the ratio of the two distances s 2:3. To take another example suppose in today's hw, you have got 10 questions to answer, while in yesterday's hw you had 7 questions to answer. In this case we say that the ratio of the no of hw questions you have today, to the no questions you had yesterday is 10:7.
A ratio is a pair of numbers which gives the relative magnitudes of two similar quantities. A ratio of a:b is also represented by the fraction a/b.
What is a proportion ?Let us use the previous example. the ratio of the distances from your home to your school and to the nearest park is say 2:3 . Now consider the ratio of the time it takes to reach your school from your home by car to the time it takes to reach the park by car from your home. suppose this ratio a:b . Then it reasonable to assume that the two fractions a/b and 2/3 are equal, assuming the car moves at the same average speed.
This common ratio is called the proportion. we write it as follows,dist to school : dist to park : : time to school : time to park.
This is read as the distance to school IS TO distance to park AS time to school IS TO time to park.
if we write the ratios as fractions. Then they are proportional or equivalently they are the same proportion if and only if the two fractions are equal.
So The ratio of the bedroom sizes is 125 : 140.
Total rent that is to be divided between them is $1150.
if the share of the rents are a,b. then as fractions a/b = 125/140
So. a/a+b = 125/125+140 = 125/265
but a + b = 1150
So a = 125/265 (1150) = 542.452
The closest option is $540.35. So this is our answer.
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the square mil area for a 2 inch wide by 1/4 inch thick copper busbar = ? square mils.
The square mil area for a 2 inch wide by 1/4 inch thick copper busbar is 500 square mils.
How to find the square mil area of a copper busbar?To find the square mil area for a 2 inch wide by 1/4 inch thick copper busbar, we need to multiply the width and thickness of the busbar in mils.
1 inch = 1000 mils
So, the width of the busbar in mils = 2 inches x 1000 mils/inch = 2000 mils
And, the thickness of the busbar in mils = 1/4 inch x 1000 mils/inch = 250 mils
Therefore, the square mil area of the copper busbar = width x thickness = 2000 mils x 250 mils = 500,000 square mils.
Hence, the square mil area for a 2 inch wide by 1/4 inch thick copper busbar is 500,000 square mils.
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according to benford's law, 5 will be the first digit of a random number set: a. more often than 1. b. more often than 3. c. about the same as 6. d. less often than 4.
According to Benford's law, 5 will be the first digit of a random number set is d. less often than 4.
According to Benford's law, which is an empirical law about the frequency distribution of leading digits in many real-life collections of numerical data, the digit 5 is actually the second least frequent leading digit after 1 and is less common than 4 as a first digit. In actuality,
Benford's rule states that the likelihood of a number having four as its first digit is nearly thirty percent, whereas the likelihood of a number having 5 as its first digit is approximately 25%. This is due to the fact that numbers with smaller starting digits are more common than those with bigger leading digits in many naturally occurring datasets.
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you install 618 feet of fencing along the perimeter of a rectangular yard. The width of the yard is 152 feet. What is the length of the yard?
Answer:
The length of the yard is 157 feet
Step-by-step explanation:
P= L+L+W+W or 2L+2W. (P is perimeter, L is length, and W is width.)
Substitute in known values for the variables.
618=2L+2(152)
Multiply.
618=2L+304
Now solve for L by doing inverse operations (subtract).
314=2L
Divide.
L=157
So the yard is 157 feet long.
 Which graph shows the line of best fit for the data ?
Answer:
bottom. Right
Step-by-step explanation:
you want the points to be clustered close to the
How to do these questions step by step
Answer:
Only for question 1
Step-by-step explanation:
The answer is
When numbers with indices are being multiplied together, the indices act as if its being added together whereas if you multiply the indices together then it would multiply them all
A \( 120 \mathrm{~V} \) battery is connected across two parallel metal plates of area \( 28.5 \mathrm{~cm}^{2} \) and separation \( 7.20 \mathrm{~mm} \) A beam of alpha particles (charge \( +2 e \), m
An alpha particle with a charge of +2e and a mass of 6.64 × 10^-27 kg enters an electric field of 1.2 × 10^3 N/C. The alpha particle is accelerated from rest through a distance of 3.7 cm.
Find the speed of the alpha particle when it emerges from the electric field and the time taken to travel the distance. More than 100 words.Electric fields accelerate charged particles. Alpha particles have a charge of +2e and a mass of 6.64 × 10^-27 kg, where e is the fundamental unit of charge.
The electric field that is responsible for the acceleration of the alpha particle can be calculated as follows:F = EqWhere F is the electric force, E is the electric field, and q is the charge of the particle.
The electric field can, therefore, be calculated as:E = F/qE = (2 × 1.6 × 10^-19) / (6.64 × 10^-27)E = 1.2 × 10^3 N/CThe alpha particle is accelerated from rest, meaning that its initial velocity is zero.
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A compact disc is designed to last an average of 4 years with a standard deviation of 0.8 years. What is the probability that a CD will last less than 3 years?
a.1.11%
b.10.56%
c.86.65%
d.100%
The probability that a CD will last less than 3 years is approximately 86.65%.
What is the likelihood of a CD lasting less than 3 years?The probability can be determined using the standard normal distribution. Given that the CD's lifespan follows a normal distribution with a mean of 4 years and a standard deviation of 0.8 years, we need to find the z-score for 3 years. The z-score formula is calculated as (x - μ) / σ, where x is the value we want to find the probability for, μ is the mean, and σ is the standard deviation.
For 3 years, the z-score is (3 - 4) / 0.8 = -1.25. Using a standard normal distribution table or a calculator, we can find that the probability corresponding to a z-score of -1.25 is approximately 0.1056 or 10.56%.
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(Answer for 30 points) Penelope is collecting coins to raise money for a charity so far she collected
• twice as many dimes as quarters
• 4 times nickels than dimes, and
• three times as many pennies as quarters
If Penelope has collected 780 coins, how many of each type of coin she collected.
Penelope has, 52quarters, 104 dimes, 416 nickels, and 162 pennies.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
From the given information let, 'x' be the number of quarters,
Therefore, Dimes is 2x, Nickels is 8x and Pennies is 3x.
So, x + 2x + 8x + 4x = 780.
15x = 780.
x = 52, The number of quarters.
2×52 = 104, The number of Dimes.
8×52 = 416 Nickels.
3×52 = 162 Pennies.
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use a graphing device to find the solutions of the equation, rounded to two decimal places. (enter your answers as a comma-separated list.) sin(2x) = x
To find the solutions of the equation sin(2x) = x using a graphing device, follow these steps:
1. Open a graphing device (e.g., Desmos, TI calculator, or an online graphing calculator).
2. Input the functions: y1 = sin(2x) and y2 = x.
3. Observe where the graphs of y1 and y2 intersect; these points represent the solutions to the equation sin(2x) = x.
4. Use the graphing device to find the coordinates of the intersection points, rounding the x-values to two decimal places.
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what is 2+3 and how do you solve that answer
Answer: 5
Work: I just did mental math, but the proper way to do it is to get a number line, and put a dot at 2. Since you need to move three spots ahead, you move the dot three times to the right, and it will land on 5.
I hope this helps, and Happy Holidays! :)
Select the equivalent expression.
(72.56)* = ?
Choose 1 answer:
А
76.524
B
78.510
78.524
(D) 7.5
Answer:
C
Step-by-step explanation:
7²×⁴=7⁸ 5⁶×⁴=5²⁴Thus 7⁸ . 5²⁴Please help with this
Take your time
Answer: 2.5
Step-by-step explanation:
What is a definition of Domain of a function in math?