The inverse of matrix A, if it exists, is:
A^(-1) = [7/43, 2/43; 10/43, 9/43]
To find the inverse of a matrix A, we need to determine if the matrix is invertible by calculating its determinant. If the determinant is non-zero, then the matrix has an inverse.
Given the matrix A = [9, -2; -10, 7], we can calculate its determinant as follows:
det(A) = (9 * 7) - (-2 * -10)
= 63 - 20
= 43
Since the determinant is non-zero (43 ≠ 0), we can proceed to find the inverse of matrix A.
The formula to calculate the inverse of a 2x2 matrix is:
A^(-1) = (1/det(A)) * [d, -b; -c, a]
Plugging in the values from matrix A and the determinant, we have:
A^(-1) = (1/43) * [7, 2; 10, 9]
Simplifying further, we get:
A^(-1) = [7/43, 2/43; 10/43, 9/43].
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N is between M and P find the value of x help :(
Answer: x = 20
Step-by-step explanation: We can use the Segment Addition Postulate.
If N is between M and P, then MN + NP = MP.
So we have 2x + 7 + 13 = 3x.
Solving from here, first simplify the left side to get 2x + 20 = 3x.
Now subtract 2x from both sides ti get 20 = x.
So the value of x is 20.
Help me plss I need it
Answer:
Expanded Form = 30 + 8 + 0.4 + 0.06 + 0.004
Standard Form = 38.464
Step-by-step explanation:
These are the answers because:
1) Expanded form means to write a number to show the value of each digit
2) Standard form means to write down the number that is describing described
Hope this helps! :D
Convert 52.6% to a fraction in lowest terms
Victor can wash two cars in eight minutes at this rate how long will it take him to wash 20 cars?
can someone help- what does these equation mean? (-9)(-2) | -20/5 | (-3)(6)
Setting 7 over 3 equal to which ratio would result in a valid proportion?
9 over 4
18 over 42
42 over 18
49 over 9
Answer:
42 over 18
Step-by-step explanation:
Notice that the quotient 42 over 18 can be written in factor form as:
(2 * 3 * 7) / (2 * 3 * 3) and therefore, a pair of "2" factors and a pair of "3" factors from numerator and denominator can be cancelled, leaving the ratio 7 / 3 which is the one we were discussing.
find two numbers whose product is 10 and whose sum is 7
Answer:
5 and 2
Step-by-step explanation:
5+2=7
5 times 2= 10
The two numbers whose product is 10 and whose sum is 7 are 5 and 2.
Let the two numbers required be x and y.
If the product of the two numbers is 10, then:
xy = 10 ...... 1
If the sum of the numbers is 7, then:
x + y = 7.... 2
Solve both equations simultaneously
From equation 2,
y = 7-x ... 3
Substitute equation 3 into 1 to have:
x(7-x) = 10
Expand
7x - x² = 10
Rearrange in standard form
x² - 7x + 10 = 0
Factorize
x² - 5x - 2x + 10 = 0
x(x-5)-2(x-5) = 0
(x -5)(x-2) =0
x - 5 = 0 and x - 2 = 0
x = 5 and 2
If x = 5:
y = 7 - 5
y = 2
Hence the two numbers whose product is 10 and whose sum is 7 are 5 and 2.
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The owner of a small deli is trying to decide whether to discontinue selling magazines. He suspects that only 9.6% of his customers buy a magazine and he thinks that he might be able to use the display space to sell something more profitable. Before making a final decision, he decides that for one day he will keep track of the number of customers that buy a magazine. Assuming his suspicion that 9.6% of his customers buy a magazine is correct, what is the probability that exactly 2 out of the first 10 customers buy a magazine
Answer:
The probability that exactly 2 out of the first 10 customers buy a magazine
=
1.92%
Step-by-step explanation:
The Proportion of customers who buy a magazine = 9.6%
If 2 out of the first 10 customers buy a magazine, the proportion is given as 2/10 or 20%.
Therefore, the probability that exactly 2 out of the first 10 customers will buy a magazine is equal to the proportion of customers who buy a magazine multiplied by the proportion of the first 10 customers who buy a magazine
= 9.6% * 20%
= 1.92%
What is the product of these fractions in lowest term?
5/10 x 4/5
Suppose we are interested in surveying the problematic water pipes in New York City. It is known that 10% of the NYC water pipes have some problems. City officials develop a non-intrusive test machine to scan the underground pipes. The machine correctly identifies 95% of the problematic sites (i.e. the machine says the pipe has a problem for a site that in fact has an issue), but it wrongly identifies 5% of the sites as problematic (i.e. machine says the pipe has a problem for a site that does not have an issue with the probability of 5%). What is the probability that a site has no problem when the machine says that the pipe at the site has no issue
Answer:
The probability that a site has no problem when the machine says that the pipe at the site has no issue is
0.905
Step-by-step explanation:
Confidence level = 95%
Error level = 5% (1 - 95%)
Since the probability that the machine says the pipe has a problem for a site that in fact has an issue = 95% and the pipe has a problem in 10% of the case, this means that the pipe has a problem in exactly 0.095 (10% * 95%).
Therefore, the probability that a site has no problem when the machine says that the pipe at the site has no issue = 0.905 (1 - 0.095).
Blythe is 35 years old. She is planning on retiring in 30 years. She has opened an IRA with an APR of 1.75% compounded monthly. If she makes monthly
deposits of $650 to the account, how much will she have in the account when she is ready to retire?
$507,459.27
B) $107,659.27
$497,347.27
D) $307,459.27
The correct answer is A) $507,459.27. Blythe will have approximately $507,459.27 in her account when she is ready to retire.
To calculate the future value of Blythe's IRA, we can use the formula for compound interest:
A = P [tex]\times (1 + r/n)^{(nt)[/tex]
Where:
A is the future value
P is the monthly deposit amount ($650)
r is the annual interest rate (1.75% or 0.0175 as a decimal)
n is the number of times interest is compounded per year (monthly, so 12)
t is the number of years (30)
Substituting the given values into the formula:
A = 650 [tex]\times (1 + 0.0175/12)^{(12\times30)[/tex]
Calculating this expression yields A ≈ $507,459.27.
Therefore, the correct answer is A) $507,459.27. Blythe will have approximately $507,459.27 in her account when she is ready to retire.
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Moving waves can be described either as a function of the time or as a function of
Answer:
or as a function made due to movement of the sun and moon
Answer:
what he said
Step-by-step explanation:
I will mark Brainliest to the quickest AND right answer!
2x + 7 ≥ 27
Answer:
x≥-5
Step-by-step explanation:
Because 3*-5 is -15-10 is -25 therefore it can be -5 or any number smaller than -5 because ≥ means greater than or equal to
James can read 520 words in 2 minutes.
Luke can read 960 words in 5 minutes. At
what rates are James and Luke able to read?
James's rate is 260 words per Minute and Luke's rate 192 words per minute.
What is a definition of rate?a quantity, amount, or degree of something measured per unit of something else. Her typing speed was 80 words per minute.: a payment or charge based on another sum Specifically, the premium amount per unit of insurance.The rate at which a variable changes over a given time period. It is frequently used when discussing momentum, and it can be defined as a ratio of a change in one variable to a comparable change in another. This ratio is represented graphically by the slope of a line.James can read 520 words in 2 minutes.
i.e. James can read 260 words per Minute.
Luke can read 960 words in 5 minutes.
i.e. Luke can read 192 words per minute.
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James's rate is 260 words per Minute and Luke's rate 192 words per minute.
What is a definition of rate?a quantity, amount, or degree of something measured per unit of something else. Her typing speed was 80 words per minute.: a payment or charge based on another sum Specifically, the premium amount per unit of insurance.The rate at which a variable changes over a given time period. It is frequently used when discussing momentum, and it can be defined as a ratio of a change in one variable to a comparable change in another. This ratio is represented graphically by the slope of a line.James can read 520 words in 2 minutes.
i.e. James can read 260 words per Minute.
Luke can read 960 words in 5 minutes.
i.e. Luke can read 192 words per minute.
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I need help on 1 2 and 4 I’ll give you brainliest
Answer:
1. C and D 2. B 4.C
Step-by-step explanation:
Answer: 1 is c & d 2 is b and 4 is c
La Tierra tiene una carga eléctrica neta que origina un campo en los puntos cerca de su superficie, y que es igual a 150 N/C, dirigido hacia el centro del planeta. (a) ¿Qué magnitud y signo de la carga tendría que adquirir un ser humano de masa 60 kg, para vencer su peso con la fuerza ejercida por el campo eléctrico terrestre? (b) ¿Cuál sería la fuerza de repulsión entre dos personas, cada una con la carga calculada en el inciso (a), separadas por una distancia de 100 m? ¿Es factible el uso del campo eléctrico de nuestro planeta como un medio para volar? ¿Por qué?
The force of repulsion between two people, each with the charge calculated in part (a), separated by a distance of 100 m, is approximately 0.0152 N.
The Earth has a net electric charge that generates a field near its surface, which is equal to 150 N/C directed towards the center of the planet. Let's address the questions:
(a) To overcome the weight of a human with the force exerted by the Earth's electric field, we need to calculate the electric force required.
The electric force (Fe) is given by the equation:
Fe = q * E
Where:
Fe is the electric force,
q is the charge, and
E is the electric field strength.
The weight (W) of the human is given by the equation:
W = m * g
Where:
W is the weight,
m is the mass of the human, and
g is the acceleration due to gravity.
Since the electric force and weight should be equal to achieve equilibrium, we have:
Fe = W
Therefore:
q * E = m * g
Rearranging the equation, we can solve for q:
q = (m * g) / E
Substituting the given values:
q = (60 kg * 9.8 m/s²) / 150 N/C
Calculating the value:
q ≈ 3.92 × 10⁻³ C
The charge required for a human to overcome their weight with the Earth's electric field is approximately 3.92 milli Coulombs. The sign of the charge would depend on whether the charge is positive or negative.
(b) To calculate the force of repulsion between two people with the charges calculated in part (a), we can use Coulomb's Law. Coulomb's Law states that the force of repulsion between two charges is given by:
F = k * (|q1| * |q2|) / r²
Where:
F is the force of repulsion,
k is the electrostatic constant (9 × 10^9 N m²/C²),
q1 and q2 are the charges, and
r is the distance between the charges.
Substituting the values:
F = (9 × 10^9 N m²/C²) * (3.92 × 10⁻³ C)² / (100 m)²
Calculating the value:
F ≈ 1.52 × 10⁻² N
The force of repulsion between two people, each with the charge calculated in part (a), separated by a distance of 100 m, is approximately 0.0152 N.
As for the feasibility of using the Earth's electric field as a means of flying, it is not practical. The magnitude of the electric field near the Earth's surface is relatively weak, and the forces involved are insufficient to counteract the weight of a human. Additionally, the charges required for such an effect would be extremely large and potentially dangerous. The Earth's electric field cannot be effectively used as a medium for flying.
The surface area of the United States is 3.797 million square miles. The state of Alaska, our largest state in terms of area, occupies 655,400 square miles. Using ratios, determine what percentage of the surface area of the United States is occupied by Alaska, rounded to the nearest whole number.
Alaska occupies 17.22% of the surface area of the United States. Rounding to the nearest whole number, we get 17%. Hence, the answer is:17%
We are given that the surface area of the United States is 3.797 million square miles and the state of Alaska occupies 655,400 square miles. We need to determine what percentage of the surface area of the United States is occupied by Alaska using ratios.To find the percentage, we need to first find the ratio of Alaska's surface area to the surface area of the United States. We can do this by dividing the surface area of Alaska by the surface area of the United States. That is,655,400 / 3,797,000 = 0.1722We can express this ratio as a percentage by multiplying by 100. That is,0.1722 × 100 = 17.22%
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Writing Find the quotient -18/0
. Use pencil and paper. How would the answer be different for the quotient 0/-18
? What are the rules for divisions involving 0?
Answer:
anything divided by 0 is zero or the other way around
Step-by-step explanation:
Find 3 times 146 show your work and explain.
Answer:
438
Step-by-step explanation:
Set it up, it is easier if you put the big number on top:
146
× 3
----------
Multiply 3 by 6 and put it under the line:
146
× 3
----------
18
Now multiply 3 by 40 and add it below the line also:
146
× 3
----------
18
120
Multiply 100 by 3 and also add it under the line:
146
× 3
----------
18
120
300
Now add 18 + 120 + 300:
146
× 3
----------
18
120
+ 300
-----------
438
Answer:
3 × 146 = 438
Step-by-step explanation:
see the screenshots below for an example. i hope this helped! good luck. :)
3(x - 1) = 2(x +9)
Answer:
x = 21
Step-by-step explanation:
Step 1: Write equation
3(x - 1) = 2(x + 9)
Step 2: Solve for x
Distribute: 3x - 3 = 2x + 18Subtract 2x on both sides: x - 3 = 18Add 3 to both sides: x = 21Step 3: Check
Plug in x to verify it's a solution.
3(21 - 1) = 2(21 + 9)
3(20) = 2(30)
60 = 60
Ms. Cody needs 1.75 yards of fabric to make one pillow. How many yards of fabric will she need to make 12 pillows?
A.12 yards
B.12 3/4
C.21 yards
D.21 3/4 yards
ANSWERR PLZZZ FAST
Answer:21 yards
Step-by-step explanation: 1.75 times 12 is 21
3/4x+5−1/2x=3 what is the value of x?
Answer:
-1/8 is the answer
Step-by-step explanation:
1.) 1st we have to take 1/2x and make the bottom number 4. so we multiply by 2 and you should get 2/4.
2.) so now the equation should be 3/4x + 5 -2/4x = 3. now you take 3/4x and -2/4x and subtract them and you should get 1/4x.
3.) now the equation should look like 1/4x + 5 = 3. now we need to get all whole numbers to one side. so we will subtract 5 from 5 and that will cancel it out and we need to do that to both sides. so we will subtract 5 from 3 and you will get -2.
4.) now the equation should look like 1/4x = -2. now you put a 1 under the 2 to make it a fraction. it should look like 2/1 and then you are going to flip it because that is how you divide fractions. so now your equation should look like 1/4x = 1/2. now you multiply strait across both bottom and top. and you will get x = -1/8 and that is your answer.
hope this helped!
p.s it would be cool if you gave me brainliest.
I have a screenshot attached.
( 4, 6) -> right 4, up 6
( -4,6)-> left 4 , up 6
(6,-4)-> right 6, down 4
Answer:
(4,6) = right 4 up 6...(-4,6)= left 4 up 6 and the last one is up 6 left 4
can someone answer? i’ll mark brainliest
Answer:
f(n) = -3n + 24
Step-by-step explanation:
-3n + 24
-3 x 1 = -3 + 24 = 21
-3 x 3 = -9 + 24 = 15
-3 x 6 = -18 + 24 = 6
-3 x 7 = -21 + 24 = 3
6 - 3x = 5x - 10x + 14
Answer:
4
Am I right
Step-by-step explanation:
6-3x=5x-10x+14
6- 3x= - 5x =14
-3x +5x =14 - 6
2x =8
Divide by 2
X=4
In the sequence generated by the formula a, = n -4, which term has a value of 8?
O the second term
the fourth term
the eighth term
O the twelfth term
Answer:
twelth term
Step-by-step explanation:
trust me dude
Answer:
Trust the person up there it was the twelfth term or D on Edge
Step-by-step explanation:
D.
which is true
1) 31^3 12^10
Answer:
1,844,580,200,000,000 = 1.8445802×10^15
Step-by-step explanation:
31^3 x 12^10
31^3 = 31 x 31 x 31
12^10 = 12 x 12 x 12 x 12 x 12 x 12 x 12 x 12 x 12 x 12
31^3 = 29791
12^10 = 61917364224
29791 x 61917364224 = 1,844,580,200,000,000 = 1.8445802×10^15
Answer:
the firs one
Step-by-step explanation:
Find the value of x and the value of y.
Answer:
x = 45
y = 20
Step-by-step explanation:
3y + 6y + 2x + 90 = 360 (Angles of a parallelogram ALWAYS add up to 360)
9y + 2x + 90 = 360 (Combine like terms) (2x = 90 because angles are congruent) {2x = 90; x = 45]
9y + 90 + 90 = 360 (Add like terms)
9y + 180 = 360 (Subtract 180 from both sides)
9y = 180 (Divide both sides)
y = 20
may someone help with this midterm review????? i don’t get it
Answer:
D
Step-by-step explanation:
please help 30pt
Find the common difference of the sequence shown.
Answer:
1/6
Step-by-step explanation:
The common difference of the given sequence is 1/6.
If a sequence has a constant common difference throughout the sequence, then the sequence is called Arithmetic Progression.
Where 'd' is the common difference of the A.P.
Similarly, finding the common difference of the given sequence
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