Answer:
Step-by-step explanation:
Answers and explanations in attachment. Problem 29 was cut off a bit. I assumed the question was what percent of the total are cubs.
A certain tar i 3. 6 x 10^2 light year from the earth. One light year i about 5. 9 x 10^12 mile how far from the earth in mile i the tar
Answer:
Could you please explain your question with proper English?
Step-by-step explanation:
Thank you.
Solving a percent make sure problem using a system of linear equations
We have to make a 170 gallons mixture of antifreeze with a 40% antifreeze percentage.
We have to made it mixing products from two brands:
• First brand (F): 35% pure antifreeze
,• Second brand (S): 85% pure antifreeze.
NOTE: To work with percentage and perform calculations, it is better to express the percentages in decimal form. We can do this by dividing the percentage by 100. Then, for example, 35% will become 0.35.
We will call F to the volume for the first brand and S to the volume of the second brand.
We know that the total mixture volume is 170 gallons. The volume is made of the mixture fo the volume of the first brand and the volume of the second brand. Then, this total volume is equal to the sum of F and S, so we can write:
\(F+S=170\)We need another equation to have a complete system of equations (two equations for two unknowns).
We can use the antifreeze content to write one.
We know the the mixture has to have 40% pure antifreeze. Then, the volume of antifreeze will be 40% of the total volume of 170 gallons.
This volume of antifreeze will come from 35% of the volume of the first brand and 85% of the volume of the second brand.
Then, we can write:
\(\begin{gathered} 0.35*F+0.85*S=0.40*170 \\ 0.35F+0.85S=68 \end{gathered}\)We now have can use the first equation to express S in function of F:
\(\begin{gathered} F+S=170 \\ S=170-F \end{gathered}\)We can now replace S in the second equation and solve for F:
\(\begin{gathered} 0.35F+0.85S=68 \\ 0.35F+0.85(170-F)=68 \\ 0.35F+144.5-0.85F=68 \\ 0.35F-0.85F=68-144.5 \\ -0.5F=-76.5 \\ F=\frac{76.5}{0.5} \\ F=153 \end{gathered}\)We have found that the first brand will have a volume in the mixture of 153 gallons.
We can now calculate S as:
\(\begin{gathered} S=170-F \\ S=170-153 \\ S=17 \end{gathered}\)The second brand volume in the mix is 17 gallons.
Answer:
First brand: 153 gallons
Second brand: 17 gallons.
The mass
a cube, M (kg),
is proportional to the cube of
the length of its edge,
L (m).
The mass
the cube is 40
kg when the length of its
edge is 35 cm.
Work out M (to 2 DP) when L
=
0.6 m
Thanks
The mass when L = 0.6 is given as follows:
M = 68.57 kg.
How to obtain the mass of the cube?The mass of the cube is modeled according to a proportional relationship, as follows:
M = kL.
In which k is the constant of proportionality.
The mass the cube is 40 kg when the length of its edge is 35 cm = 0.35 m, hence the constant is obtained as follows:
0.35k = 40
k = 40/0.35
k = 114.28.
Hence the mass when L is of 0.6 m is given as follows:
M = 114.28 x 0.6
M = 68.57 kg.
More can be learned about proportional relationships at https://brainly.com/question/10424180
#SPJ1
Rebecca earns $4400 per month, of which 25% is taken out of her paycheck for
taxes and other fees.
Calculate Rebecca's take-home pay.
\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{25\% of 4400}}{\left( \cfrac{25}{100} \right)4400}\implies 1100~\hfill \underset{take-home~pay}{\stackrel{4400~~ - ~~1100}{\text{\LARGE 3300}}}\)
A researcher is wondering whether the smoking habits of young adults (18-25 years of age) in a certain city in the U.S. are
the same as the proportion of the general population of young adults in the U.S. A recent study stated that the proportion
of young adults who reported smoking at least twice a week or more in the last month was 0.16. The researcher collected
data from a random sample of 75 adults in the city of interest, report 6 of them smoke at least twice a week or more in the
last month.
What is p-value for the claim?
The p-value for the claim is 0.0576.
We must run a hypothesis test to find the p-value for the assertion. Here are descriptions of the null and competing hypotheses:
Null Hypothesis (H₀): Young adults in the city share the same smoking patterns as young adults in general in the United States.
Alternative Hypothesis (H₁): The percentage of young adults in the city who smoke differs from the percentage of young adults in the U.S.
To analyse the data, we can perform a hypothesis test for a single proportion, more precisely a one-sample proportion test. Let's use this method to determine the p-value.
We must first calculate the sample proportion's standard error:
SE = \(\sqrt{\frac{p_{0} \times (1 - p_{0})}{n}}\)
where:
p₀ = proportion of young adults who reported smoking at least twice a week or more in the last month (given as 0.16)
n = sample size (given as 75)
SE = sqrt((0.16 * (1 - 0.16)) / 75) ≈ 0.0421
Next, we calculate the test statistic (z-score) using the observed sample proportion:
z = (\(\hat{p}\) - p₀) / SE
where:
\(\hat{p}\) = observed sample proportion (6 out of 75)
p₀ = proportion of young adults who reported smoking at least twice a week or more in the last month (given as 0.16)
SE = standard error of the sample proportion (0.0421)
\(\hat{p}\) = 6/75
\(\hat{p}\) = 0.08
z = (0.08 - 0.16)/0.0421
z ≈ -1.897
Now that we have the probability of seeing a test statistic with either tail as severe as -1.897, we can calculate the p-value.
p-value ≈ P(Z ≤ -1.897) + P(Z ≥ 1.897)
The p-value is about 0.0576, according to a standard normal distribution table or statistical software.
As a result, the claim's p-value is roughly 0.0576.
To learn more about p-value link is here
brainly.com/question/30078820
#SPJ4
three people are asked to throw a fair die. what is the probability that they all get the same number
As three people are asked to throw a fair die. Then, the probability that they all get the same number is 1/36.
Probability:
Probability is a branch of mathematics that quantifies the likelihood of an event occurring or the likelihood of a statement being true. Probability is a number between 0 and 1, with 0 generally indicating impossibility and 1 indicating certainty that an event will occur. A simple example is tossing a fair (unbiased) coin. Since the coin is fair, the two outcomes (heads and tails) are equally likely. The probability of heads is the same as the probability of tails. Since no other outcome is possible, the probability of heads or tails is 1/2 (also written as 0.5 or 50%).
According to the Question:
Theoretical, Probability is based on the probability that something will happen. Probability justification serves as the main basis for theoretical probability.
Given that,
There is a 1 in 6 chance that the dice will match.
The number of throwers is 3.
That way everyone has a chance to get the same number.
And the probability is:
The total outcome is 3 dice = ( 6 × 6 × 6 = 216 ).
Therefore,
probability of getting the same number = 6 × 1/6 × 1/6 × 1/6
= 6 × 1/6 × 1 × 1/6 × 6
= 6/6 × 1/36
= 1 × 1/36
Therefore,
Probability of all three thrown is 1/36.
Learn more about Probability:
https://brainly.com/question/12905909
#SPJ4
The price of an apple is $1.25. If you get 20% discount, how much do you have to pay?
An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in California. He believes that the mean income is $28.4, and the standard deviation is known to be $6.6. How large of a sample would be required in order to estimate the mean per capita income at the 85% level of confidence with an error of at most $0.56
To estimate the mean per capita income for a major city in California with an error of at most $0.56 at the 85% confidence level, the economist needs to determine the required sample size.
To calculate the required sample size, we can use the formula: \(n = \left(\frac{{Z \cdot \sigma}}{{E}}\right)^2\), where \(n\) is the sample size, \(Z\) is the Z-score corresponding to the desired confidence level (in this case, for 85% confidence level, \(Z \approx 1.44\)), \(\sigma\) is the known standard deviation (\$6.6), and \(E\) is the desired margin of error (\$0.56). Plugging in the values, we have \(n = \left(\frac{{1.44 \cdot 6.6}}{{0.56}}\right)^2 \approx 52\). Therefore, a sample size of approximately 52 would be required to estimate the mean per capita income with an error of at most $0.56 at the 85% confidence level.
know more about per capita income :brainly.com/question/2041857
#SPJ11
A correlation coefficient of 0.08 indicates strong positive correlation. Group startsTrue or False
Since the correlation coefficient has an absolute value that is less than 0.6, it is not a strong relationship, hence the statement is False.
What is a correlation coefficient?It is an index that measures correlation between two variables, assuming values between -1 and 1.If it is positive, the relation is positive, that is, they are direct proportional. If it is negative, they are inverse proportional.If the absolute value of the correlation coefficient is greater than 0.6, the relationship is strong.In this problem, the correlation coefficient is of 0.08, hence:
The coefficient is positive, hence the is a positive correlation.The coefficient is of 0.08, which is less than 0.6, hence the correlation is not strong.Thus, the given statement is False.
More can be learned about correlation coefficients at https://brainly.com/question/25815006
#SPJ1
Connie flips a coin and rolls a standard number cube. Find the probability that the coin will show tails and the cube will show a three, four, or six.
The probability that the coin will show tails and the cube will show a three, four, or six is 1/4.
The probability of two independent events occurring, we multiply their individual probabilities.
Let's start by determining the probability of the coin showing tails.
Since it is a fair coin, there are two equally likely outcomes: heads or tails.
The probability of the coin showing tails is 1/2.
Next, we consider the number cube.
It is a standard six-sided die, and we want to find the probability of rolling a three, four, or six.
Out of the six possible outcomes (numbers 1 to 6), three of them satisfy our condition (3, 4, and 6).
The probability of rolling a three, four, or six is 3/6 or 1/2.
Now, we can find the probability of both events occurring by multiplying the probabilities together:
P(Tails and 3, 4, or 6) = P(Tails) × P(3, 4, or 6)
= 1/2 × 1/2
= 1/4
For similar questions on cube
#SPJ11
the loads carried by an elevator are found to follow a normal distribution with a mean weight of 1812 lbs, and a standard deviation of 105.3 lbs. in which interval centered about the mean does the load lie, in 95% of all cases? responses a [1606, 2000][1606, 2000] b [1602, 2000][1602, 2000] c [1606, 2018][1606, 2018] d [1812, 2018][1812, 2018] e [1606, 1812]
The loads carried by an elevator are found to follow a normal distribution with a mean weight of 1812 lbs, and a standard deviation of 105.3 lbs. The answer is c) [1606, 2018].
To answer this question, we need to use the concept of confidence intervals. A 95% confidence interval means that in 95% of all cases, the true population parameter (in this case, the weight of the elevator load) will fall within the interval.
To find the interval centered about the mean, we need to calculate the margin of error first. The formula for margin of error is:
Margin of Error = z*(standard deviation/square root of sample size)
Since we do not have a sample size here, we will use the population standard deviation instead.
For a 95% confidence level, the z-value is 1.96. So, plugging in the values we have:
Margin of Error = 1.96*(105.3/square root of 1)
Margin of Error = 205.97
Now, we can find the interval by adding and subtracting the margin of error from the mean:
Interval = [1812 - 205.97, 1812 + 205.97]
Interval = [1606.03, 2017.97]
Therefore, the answer is c) [1606, 2018].
to learn more about mean click here:
brainly.com/question/30094057
#SPJ11
Hello, I need some assistance with this homework question, please? This is for my precalculus homework. Q18
(a)
Since we can't divide by 0, we need to check the denominator in order to find the restrictions over the domain:
\(\begin{gathered} x(x+20)=0 \\ so: \\ x=0 \\ or \\ x=-20 \end{gathered}\)Therefore, the domain is:
\(\lbrace x|x\ne0_{\text{ }}and_{\text{ }}x\ne-20\rbrace\)Answer:
B
------------------------------
(b)
The vertical asymptotes are located at the restriction points. So, the vertical asymptotes are:
\(x=0,-20\)----------------------
(c)
Since:
\(\lim_{x\rightarrow\pm\infty}f(x)=\lim_{x\rightarrow\pm\infty}\frac{x+14}{x(20+x)}=0\)We can conclude that the horizontal asymptote is located at:
\(y=0\)(d)
Answer:
A
Why do we factor quadratic equation
Step-by-step explanation:
Factoring is an important process that helps us understand more about our equation.
There are lot of different factoring methods.
In triangle XYZ , A is the midpoint of overline XY . B is the midpoint of overline YZ . and C is the midpoint of overline XZ; AC = 5 , BC = 6 , and XZ = 15 What is the perimeter of triangle XYZ ? Enter your answer in the box .
The perimeter of the triangle XYZ according to the midsegment theorem is 37
What is the midsegment theorem?The midsegment theorem states that the segment that is obtained by joining the midpoints of two sides of a triangle is parallel to the third side and it is half the length of the third side of the triangle.
The specified parameters are;
The midpoint of \(\overline{XY}\) = A
The midpoint of \(\overline{YZ}\) = B
The midpoint of \(\overline{XZ}\) = C
The length of segment AC = 5
The length of segment BC = 6
The length of side XZ = 15
The segments AC, BC, and AB are midsegments of the triangle XYZ
According to the midsegment theorem, we get
AC = 0.5 × \(\overline{YZ}\)
BC = 0.5 × \(\overline{XY}\)
AB = 0.5 × \(\overline{XZ}\)
Therefore;
2 × AC = \(\overline{YZ}\)
2 × BC = \(\overline{XY}\)
2 × AB = \(\overline{XZ}\)
\(\overline{YZ}\) = 2 × 5 = 10 (substitution property)
\(\overline{XY}\) = 2 × 6 = 12 (substitution property)
The perimeter of the triangle = \(\overline{YZ}\) + \(\overline{XY}\) + \(\overline{XZ}\)
Plugging in the values, of \(\overline{YZ}\), \(\overline{XY}\), and \(\overline{XZ}\) we get;
Learn more on the midsegment theorem here:
https://brainly.com/question/2274402
#SPJ1
Write an exponential decay function to model each situation. Then estimate the value of x for the given value of f(x)
initial value: 100
decay factor: .95
f(x)=60
Answer:
f(x) = 100(0.95^x)x ≈ 9.959 for f(x) = 60Step-by-step explanation:
You want the value of x that makes f(x) = 60, when f(x) is the exponential function with an initial value of 100 and a decay factor of 0.95.
Exponential functionThe form of an exponential function is ...
f(x) = (initial value) · (decay factor)^x
ApplicationFor the given initial value and decay factor, the function is ...
f(x) = 100 (0.95^x)
Solving for x, we find ...
f(x)/100 = 0.95^x
log(f(x)/100) = x·log(0.95)
x = log(f(x)/100)/log(0.95)
For f(x) = 60, the value of x is about ...
x = log(60/100)/log(0.95) ≈ 9.959
The value of x is about 9.959.
Given z_1 = 12(cos(pi/3) + i sin(pi/3)) and z_2 = 3(cos(5pi/6) + i sin(5pi/6)), find z_1/z_2 where 0 =< theta < 2pi
The solution is:
a)z1.z2=cos (5pi/2) + i sin(5pi/2)
b)z1.z2=6[cos 80 + isin 80]
c)z1/z2= 3[cos 3pi + i sin 3pi]
d)z1/z2 = (cos 7pi/12 + i sin 7pi/12 )
Given that,
a) z1=2(cos pi/6 + i sinpi/6) , z2=3(cospi/4 + i sin pi/4)
z1.z2=[2(cos pi/6 +i sinpi/6)] . [3(cospi/4 + i sin pi/4)]
z1.z2=6[cos(pi/6 + pi/4) + i sin(pi/6 + pi/4)]
z1.z2=6[cos (5pi/12) + i sin(5pi/12)]
z1.z2=cos (5pi/2) + i sin(5pi/2)
Hence the answer is this.
b)z1= 2/3 (cos60° + i sin60°) , z2=9 (cos20° + i sin20°)
z1.z2=2/3 *9[(cos 60 +i sin60)+(cos20 + i sin20)]
z1.z2=18/3[cos(60+20) + i sin(60+20)]
z1.z2=6[cos 80 + isin 80]
Hence the answer is this
c) z1 = 12 (cos pi/3 -+i sin pi/3) , z2 = 3 (cos 5pi/6 + i sin 5pi/6)
z1/z2= (12/3)[(cos pi/3 + i sin pi/3) - (cos 5pi/6 + i sin 5pi/6)]
z1/z2= 6[cos(pi/3 - 5pi/6) + i sin(pi/3 - 5pi/6)]
z1/z2= 6[cos(2pi- pi/2) + i sin(2pi-pi/2)]
z1/z2= 6[cos 3pi/2 + i sin 3pi/2]
z1/z2= 3[cos 3pi + i sin 3pi]
Hence the answer is this
d) z1 = cos 2pi/3 + i sin 2pi/3 and z2 = 2 (cos pi/12 + i sin pi/12)
z1/z2 = (1/2)(cos(2pi/3-pi/12) + i sin (2pi/3 -pi/12))
z1/z2 = (cos 7pi/12 + i sin 7pi/12 )
Hence the answer is this
To learn more about trigonometric relations click :
brainly.com/question/14450671
#SPJ1
The sum of the digits of a two-digit number is seventeen. The number with the digits reversed is thirty more than 5 times the tens' digit of the original number. What is the original number?
Therefore, the original number is 10x + y = 10(10) + 7 = 107.
Given that the sum of the digits is seventeen, we have the equation:
x + y = 17 (equation 1)
The number with the digits reversed is thirty more than 5 times the tens' digit of the original number. The number with the digits reversed would be 10y + x.
According to the given information, we have the equation:
10y + x = 5x + 30 (equation 2)
To solve the system of equations, we can substitute equation 1 into equation 2:
10(17 - x) + x = 5x + 30
Expanding and simplifying:
170 - 10x + x = 5x + 30
170 - 30 = 5x + 10x - x
140 = 14x
x = 10
Substituting the value of x back into equation 1:
10 + y = 17
y = 7
Therefore, the original number is 10x + y = 10(10) + 7 = 107.
Learn more about original number here
https://brainly.com/question/1343101
#SPJ11
Which expression represents the greatest common factor (GCF) of 48 and 136?A.2 x 2B.2 x 2 x 2C.2 x 2 x 2 x 3D.2 x 2 x 2 x 3 x 17
can someone pls help me
Find the greatest common factor of both 48 and 136:
GCF is 8.
The expression that equals 8 is
B. 2x2x2
Answer:
B. 2 x 2 x 2
Step-by-step explanation:
I took a quiz and got this right!!
x - 2 ⪯ 5 solve plz..
Answer:
x ⪯ 7
Step-by-step explanation:
5 + 2 = 7
determine the natural cubic spline s that interpolates the data f (0) = 0, f (1) = 1, and f (2) = 2.
Find the natural cubic spline, we need to construct a piecewise cubic polynomial that passes through each data point and has continuous first and second derivatives. The natural cubic spline that interpolates the given data points f(0) = 0, f(1) = 1, and f(2) = 2 can be determined.
To find the natural cubic spline, we need to construct a piecewise cubic polynomial that passes through each data point and has continuous first and second derivatives.
In this case, we have three data points: (0, 0), (1, 1), and (2, 2). We can construct a natural cubic spline by dividing the interval [0, 2] into two subintervals: [0, 1] and [1, 2]. On each subinterval, we define a cubic polynomial that passes through the corresponding data points and satisfies the continuity conditions.
For the interval [0, 1], we can define the cubic polynomial as
s1(x) = a1 + b1(x - 0) + c1(x - 0)^2 + d1(x - 0)^3,
where a1, b1, c1, and d1 are the coefficients to be determined.
Similarly, for the interval [1, 2], we define the cubic polynomial as
s2(x) = a2 + b2(x - 1) + c2(x - 1)^2 + d2(x - 1)^3,
where a2, b2, c2, and d2 are the coefficients to be determined.
By applying the necessary calculations and solving the system of equations, we can determine the coefficients of the cubic polynomials for each interval. The resulting natural cubic spline will be a function that satisfies the given data points and exhibits a smooth interpolation between them.
Since the given data points f(0) = 0, f(1) = 1, and f(2) = 2 define a simple linear relationship, the natural cubic spline interpolating these points will be a straight line passing through them.
Learn more about piecewise cubic polynomial here:
https://brainly.com/question/32085220
#SPJ11
In the diagram, the measures of 22, 23 and 26 are 40°. The measure of 21
is 140°. Are lines cand d parallel?
Answer:
c. Yes because ∠2 and ∠6 are congruent.
Step-by-step explanation:
From the picture attached,
m(∠2) = m(∠3) = m(∠6) = 40°
m(∠1) = 140°
Since (∠2 ≅ ∠6) (corresponding angles)
Therefore, by the converse theorem of corresponding angles lines c and d are parallel.
Option c is the answer.
7y=14 is 94 what is the answer
Answer:
I don't know what the 94 has to do with this but...
7y=14
14/7
=2
y=2
7(2)=14
Step-by-step explanation:
y=2
which equation is equivalent to 19x+12y=17?
Answer:
A
y=-19/12x+17/12
Step-by-step explanation:
Write in slope-intercept form,y=mx+b
The equation i.e. 19x + 12y = 17 equivalent to the \(y = \frac{19}{12}x + \frac{17}{12}\).
Given that,
The equation i.e. 19x + 12y = 17.We need to find the equation i.e. equivalent to the above.Based on the above information, the calculation is as follows:
19x + 12y = 17
Here we need to solve it for y
\(y = \frac{19}{12}x + \frac{17}{12}\)
Therefore, we can conclude that the first option is correct.
Learn more: brainly.com/question/6201432
mina's explanation: i counted up from 15.75 to 176.3 to find the difference. i underlined each number i added on each line.
160.55 is the difference. i underlined each number i added on each line.
What is an linear equation in math?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included.
The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
The two numbers are 15.75 and 176.3
First we will compare the numbers.
1. A=176.3
2. B=15.75
one's place of A is greater than once place of B.
tens place of A is greater than tens place of B.
Hundred place of A is greater than hundred place of B.
So, A>B
So we will subtract 15.75 from 176.3.
176.30 -15.75=
176.30 ----A
- 1 5.75 ----B
Hundreths place of A - Hundreths place of B = 0-5=10-5=5
Tenth place of A - Tenth place of B =12-7=5
ones place of A - ones place of B=5-5=0
Tens place of A - Tens place of B =7-1=6
So the solution is 160.55
Learn more about linear equation
brainly.com/question/11897796
#SPJ4
What is the cost to the NEAREST CENT?
$50 video game; 10% markup
A. $5.00
B. $40.00
C. $45.00
D. $55.00
Answer:
C. $55.00
Step-by-step explanation:
10% of $50 is $5, then add it because it is a markup, $55.00
Erica takes out a loan to purchase a car. She borrows 12,000 at 12% annual percentage rate. Complete the statements. The graph is [Drop Down 1]. Erica's loan is a [Drop Down 2] loan. The equation which models this loan is [Drop Down 3]. If Erica pays off the loan in six years, she will have paid [Drop Down 4].
An increasing exponential function is modeled as follows:
A(t) = A(0)(1 + r)^t.
The parameters of the exponential function are given as follows:
A(0) is the initial value of the exponential function.r is the growth rate of the exponential function, as a decimal.She borrows 12,000 at 12% annual percentage rate, hence the initial value and the growth rate are given as follows:
A(0) = 12,000, r = 0.12.
Then the function that describes her loan is given as follows:
A(t) = 12000(1.12)^t.
After six years, the value of the loan is calculated as follows:
A(6) = 12000(1.12)^6 = $23,686.
More can be learned about exponential functions at https://brainly.com/question/25537936
#SPJ1
Please help I'll give you brainliest and a lot of points
Answer:
about 50
Step-by-step explanation:
they a move up 5 minutes eace half mile
dont come at me if it is wrong :)
Graph the following system of inequalities.
Y≥x - 2
Y ≤ 4x - 2
PLSSS HELPPPPPP
Given Matrix A consisting of 3 rows and 2 columns. Row 1 shows 6 and negative 2, row 2 shows 3 and 0, and row 3 shows negative 5 and 4. and Matrix B consisting of 3 rows and 2 columns. Row 1 shows 4 and 3, row 2 shows negative 7 and negative 4, and row 3 shows negative 1 and 0.,
what is A − B?
Matrix consisting of 3 rows and 2 columns. Row 1 shows 10 and 1, row 2 shows negative 4 and negative 4, and row 3 shows negative 6 and 4.
Matrix consisting of 3 rows and 2 columns. Row 1 shows 2 and 1, row 2 shows negative 4 and negative 4, and row 3 shows negative 6 and 4.
Matrix consisting of 3 rows and 2 columns. Row 1 shows 2 and negative 5, row 2 shows 10 and 4, and row 3 shows negative 4 and 4.
Matrix consisting of 3 rows and 2 columns. Row 1 shows negative 2 and 5, row 2 shows negative 10 and negative 4, and row 3 shows 4 and negative 4.
The matrix A − B is a matrix consisting of 3 rows and 2 columns. Row 1 shows 2 and 5, row 2 shows 10 and 4, and row 3 shows -4 and 4.
To subtract two matrices, we subtract the corresponding elements of each matrix. Let's calculate A − B using the given matrices:
Matrix A:
| 6 -2 |
| 3 0 |
|-5 4 |
Matrix B:
| 4 3 |
|-7 -4 |
|-1 0 |
Subtracting the corresponding elements:
| 6 - 4 -2 - 3 |
| 3 - (-7) 0 - (-4) |
|-5 - (-1) 4 - 0 |
Simplifying the subtraction:
| 2 -5 |
| 10 4 |
|-4 4 |
Therefore, the matrix A − B is a matrix consisting of 3 rows and 2 columns. Row 1 shows 2 and 5, row 2 shows 10 and 4, and row 3 shows -4 and 4.
In this subtraction process, we subtracted the corresponding elements of Matrix A and Matrix B to obtain the resulting matrix. Each element in the resulting matrix is the difference of the corresponding elements in the original matrices.
For more such questions on matrix, click on:
https://brainly.com/question/27929071
#SPJ8
Faz a continha de 86496÷6 pra hoje pfvr
Answer:
14416
Step-by-step explanation:
youre welcome
Answer:
14416
Step-by-step explanation:
check the steps for answers