A washer and a dryer cost $944 combined. The water costs $94 more than the dryer. What is the cost of the dryer?
Let
x -----> the cost of the washer
y -----> the cost of the dryer
we have that
x+y=944 -------> equation A
x=y+94 ------> equation B
Solve the system of equations
substitute equation B in equation A
(y+94)+y=944
solve for y
2y=944-94
2y=850
y=$425
therefore
The cost of the dryer is $425Let B be a 2 ×2 matrix such that
7B^2 −5B + 3I = 0.
Is B invertible? It so, what are the eigenvalues of B−1? Justify your answer.
Yes, Matrix B is invertible.
And, The eigenvalues of B−1 are;
⇒ (5 ± 7.68) / 14 - 1
What is mean by Matrix invertibility?An Invertible Matrix is a square matrix defined as invertible if the product of the matrix and its inverse is the identity matrix.
Given that;
B be a 2 ×2 matrix such that;
⇒ 7B² −5B + 3I = 0
Now,
Since, B be a 2 ×2 matrix.
And, The expression is,
⇒ 7B² −5B + 3I = 0
⇒ B² −5/7B + 3I/7 = 0
Multiply by B⁻¹, we get;
⇒ B - 5/7 + 3B⁻¹ = 0
Solve for B⁻¹;
⇒ 3B⁻¹ = - B + 5/7
⇒ B⁻¹ = - B/3 + 5/21
Thus, The matrix B is invertible.
And, The eigen value of B are;
⇒ 7B² −5B + 3I = 0
⇒ 7B² −5B + 3I = 0
⇒ B = - (-5) ± √(-5)² - 4×7×3 / 2×7
⇒ B = 5 ± √25 - 84/14
⇒ B = 5 ± √- 59 / 14
⇒ B = 5 ± 7.68 i / 14
⇒ B - 1 = (5 ± 7.68) / 14 - 1
Thus, Matrix B is invertible.
The eigenvalues of B−1 are = (5 ± 7.68) / 14 - 1
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How would I get a answer?
Answer:
0.07kg
Step-by-step explanation:
1kg = 1000g
so grams/1000 =kg
70/1000 = 0.07kg
What is the value of x? The figure contains 2 lines that intersect to form what looks like an x. Two of the 4 angles in the x are labeled. The left angle is labeled open parenthesis 3 x minus 3 close parenthesis degrees. The right angle across from it is labeled open bracket 6 open parenthesis x minus 10 close parenthesis close bracket degrees. Enter your answer in the box. x =
Answer:
\(x=38.5^\circ\)
Step-by-step explanation:
Given that the left angle = \((3x-3)^\circ\)
The right angle across from it \(= 6(x-10)^\circ\)
The other two angles are x and x.
We know that the sum of angles at a point equals 360 degrees.
Therefore,
\((3x-3)^\circ+6(x-10)^\circ+x+x=360^\circ\\3x-3+6x-60+2x=360\\11x-63=360\\11x=360+63\\11x=423\\x=38.5^\circ\)
The value of x is approximately 38.5 degrees.
Could someone please answer this And explain I would really appreciate it thank you so much :)
Answer:
The first choice
Step-by-step explanation:
So you see that square down there, does mean that the angle is 90 degrees. So 90-50 = 40 so yea the first choice.
Which of the following is true about the values in the highlighted columns? A. The ratio of the values in the left column to the values in the right column is 2:5. If another row is added to the multiplication chart, the last value in the left column would be 55 and the last value in the right column would be 22. B. The ratio of the values in the left column to the values in the right column is 5:2. If another row is added to the multiplication chart, the last value in the left column would be 22 and the last value in the right column would be 55. C. The ratio of the values in the left column to the values in the right column is 2:5. If another row is added to the multiplication chart, the last value in the left column would be 22 and the last value in the right column would be 55. D. The ratio of the values in the left column to the values in the right column is 5:2. If another row is added to the multiplication chart, the last value in the left column would be 55 and the last value in the right column would be 22.
The values in the left column are 2:5 the values in the right column, and the last value in the left column is retained if another row is added would be 55 and the last value in the right column would be 22, making option A the only correct choice.
Based on the given information, the ratio of the values in the left column to the values in the right column is 2:5. This means that for every 2 in the left column, there are 5 in the right column.
The last value in the left column of the multiplication chart would be 55, and the last value in the right column would be 22. This information can be used to eliminate options B and D, as they provide different values for the last entries in the columns.
Therefore, the correct answer is either A or C. However, we can also see that option C contradicts the given information about the last values in the columns. Thus, the only option that is consistent with all of the given information is A.
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What's 7 hours - 30mins ?
Answer:
390 mins (or) 6 hours 30 mins
Step-by-step explanation:
7 hours = 420 mins
420 mins - 30 mins = 390 mins
390 mins = 6 hours 30 mins
Have a nice day!
what is x? x/9= -5
pls helpppp
Answer:
x= -45
Step-by-step explanation:
x/9=-5
multiply each side by 9
x=-45
Answer:x=−45
Step-by-step explanation:
Is 1 is a root of f/x Which of the following must be true?
According to Polynomial System, the correct answer is that the roots of f(x) are (x+1).
A polynomial system (sometimes just a polynomial system) is a set of simultaneous equations f₁ = 0,..., fₙ = 0. where fi is a polynomial in multiple variables such as x₁,..., xₙ over the fields. k.
This is due to the zero product property that when two binomials are multiplied by 0, one of their factors must be 0.
A simple example of a system of polynomial equations is
x²+y²- 5 = 0
xy-2 = 0.
Its solutions are the four pairs (x, y) = (1, 2), (2, 1), (-1, -2), (-2, -1). These solutions are easily verified by substitution, but proving that there are no other solutions requires more work.
Based on above description, we can say that:
(x+1) must be 0.
(x+1)=0
x=-1
Thus, If (x-1)=0 then x is 1 instead of -1 in question.
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What is greater 1.0275 or 1.029
Answer:
1.029 is greater than 1.0275
Step-by-step explanation:
Answer:
1.029
Step-by-step explanation:
What is greater 1.0275 or 1.029
.027 < .029
So, 1.029 is greater.
10. A teacher gave a test to three classes that contained 27, 25, and 23 students. A total of 18 students scored an A on the test. Based on this information, which statement is true? *
Answer:
Pls give us the statements
5. You buy a boat for $35,000 that * 10 points
depreciates in value at about 17%
per year. How much will it be worth
in 3 years?
Your answer
Answer:
9000
Step-by-step explanation:
A cube has a volume of 1000cm^3. Work out the surface area Of the cube.
Answer:
600
Step-by-step explanation:
V = s×s×s = s³
V = 10×10×10 =1,000
Surface area
6a² = 6(10²) =600
You want to purchase a new car in 3 years and you anticipate the cost of the car to be $25,000. You are given an investment plan with a fixed APR of 5.3% if you make regular monthly deposits.
How much should you deposit at the end of each month to reach your goal of $25,000 in 3 years?
a.$642.23
c.$648.62
b.$645.65
d.$649.13
Answer:
The answer is A: $642.23
Step-by-step explanation:
I just took the test lol
Help!!!!!! See image.
The shape of the graph of a function is the shape assumed by the graph of the function after the dataset generated by using the function is plotted on the coordinate plane. The shape in the graph of the question is a triangular shape.
What is a function?A function is a direction used to map the values of an input variable of the function to the output variables.
The points in the attaches graph which are connected by lines are;
(0, 1.5), and (4.5, 0)
The joining of the above points in the attached graph, and the origin forms a triangular shape.
Details about the shape of the graph of a function
The graph of a function such as f(x) = -x² + 2·x + 3, is obtained by finding the values of the output values of the function, f(x) for each input value of the function, x as follows;
x \({}\) f(x)
0 \({}\) 3
1 \({}\) 4
2 \({}\) 3
3 \({}\) 0
4 \({}\) -5
5 \({}\) -12
6 \({}\) -21
7 \({}\) -32
8 \({}\) -45
Please find attached the graph of the sample function created with MS Excel
The graph of the function f(x) = -x² + 2·x + 3 has the shape of a parabola, which is the shape of a quadratic function.
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Translate 2 3 y − 9 < y + 1 into a sentence. Nine than two-thirds of number is less than the number .
The sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."
To translate the inequality expression "2/3y - 9 < y + 1" into a sentence, we can break it down into smaller parts:
"2/3y" represents two-thirds of a number.
"9" represents the number nine.
"y + 1" represents the number increased by one.
Now let's construct the sentence:
"Nine less than two-thirds of a number" - This refers to the expression "2/3y - 9," indicating that we have subtracted nine from two-thirds of a number.
"is less than" - This is the comparison symbol in the inequality.
"the number" - This refers to the expression "y + 1," representing the number increased by one.
Combining these parts, we form the sentence: "Nine less than two-thirds of a number is less than the number."
Hence, the correct sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."
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Compare using <, >, or =. 7 2/5___ 7 3/8
Answer:
<
Explanation:
Step 1 - Convert the mixed numbers into decimals
7 2/5
2/5 • 20/20 = 40/ 100
40/ 100 = 0.4
0.4 + 7.0 = 7.4
Therefore, 7 2/5 = 7.4
Step 2 - Convert the mixed numbers into decimals
7 3/8
3/ 8 = 0.375
0.375 + 7.0 = 7.375
Therefore, 7 3/8 = 7.375
Step 3 - Compare
7.4 < 7.375
So, 7 2/5 is less than 7 3/8
which angles are equivalent to 65 degreese
Step-by-step explanation:
angles are equivalent to 65 degrees :
<2, <4 & < 8
Help me please! I’m really struggling on how to do this
Answer:
12 feet
Step-by-step explanation:
1 inch= 8 feet
1/2 inch= 4 feet
1/4 inch= 2 feet
(2x2)/2= 2 (one triangle)
2x4=8 (rectangle)
2+2=4 +8=12
^2 was added 2 times cause there are 2 triangles
(you did not need a 3rd measurement cause the triangle measurements were equal)
1,2,3 or 4
Thank you!
Answer:
Option 3
Step-by-step explanation:
Một công ty có đại lý bán sản phẩm trên toàn
quốc, để tìm hiểu tình hình tiêu thụ trong một
tuần lễ sau một đợt quảng cáo, ta có số liệu sau:
2,7
2,9
3,1
3,2
3,4
3,7
Doanh 2,7
số (tr)
Sổ đại lý
8
15
20
30
15
12
Answer:
PooooppooooooooppooooooooppoopoooooooooppStep-by-step explanation:
What is the area of the square that measures 3.1 m on each side
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
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PLEASE HELP, WILL MARK BRAINLIEST
Mark owes $12,000 on two loans. The interest rate on the first loan is 8 and the interest rate on the second loan was 9%. The
total amount of interest he has paid in one year is $1,010. What was the principal for each loan?
Provide your answer below:
Answer:
principal of first loan = $7,000
principal of second loan = $5,000
Step-by-step explanation:
Let x = principal of first loan
Let y = principal of second loan
Given:
Interest rate on first loan = 8% = 0.08Interest rate on second loan = 9% = 0.09Total amount of interest paid = $1,010Create two equations with the given information:
Equation 1: x + y = 12000
Equation 2: 0.08x + 0.09y = 1010
Rewrite Equation 1:
⇒ x = 12000 - y
Substitute into Equation 2 and solve for y:
⇒ 0.08(12000 - y) + 0.09y = 1010
⇒ 960 - 0.08y + 0.09y = 1010
⇒ 0.01y = 50
⇒ y = 5000
Substitute found value of y into Equation 1 and solve for x:
⇒ x + 5000 = 12000
⇒ x = 7000
the first number in a pattern is 12 the pattern follows the rule "divide by 2, and then add 10" complete the table to show the next two numbers in the pattern
Carl's yearly income is $34,000. He has $250,000 in
life insurance. Using the six-times-salary method
does Carl have enough life insurance?
A.No, carl needs another $36,000 in insurance
B.Yes, carl has enough insurance by $36,000
C. No, carl needs another $46,000 in insurance
D. Yes, Carl has enough insurance by $46,000
Answer:
I think the answers C
Step-by-step explanation:
because when you 34,000 by 6 you get 204,000 minus that from 250,000 and you have 46,000
4x3 = -5x - 21 solve for x
To solve for x in the equation 4x3 = -5x - 21, we can follow these steps:
1. Move all the terms containing x to one side of the equation, and move the constant term to the other side. We can do this by adding 5x to both sides and then adding 21 to both sides:
4x3 + 5x = -21
2. Factor out x from the left-hand side of the equation:
x(4x2 + 5) = -21
3. Divide both sides by (4x2 + 5):
x = -21 / (4x2 + 5)
So the solution for x is x = -21 / (4x2 + 5). Note that this is a rational function, which means that the value of x depends on the value of the variable x. This equation has no real solutions because the denominator is always positive, and the numerator is negative.
What is the 13 times table?
Answer:
0 x 13 =0
1 x 13 =13
2 x 13 =26
3 x 13 =39
4 x 13 =52
5 x 13 =65
6 x 13 =78
7 x 13 =91
8 x 13 =104
9 x 13 =117
10 x 13 =130
11 x 13 =143
12 x 13 =156
13 x 13 =169
14 x 13 =182
15 x 13 =195
Step-by-step explanation:
Answer:
13 × 1 = 13
13 × 2 = 26
13 × 3 = 39
13 × 4 = 52
13 × 5 = 65
13 × 6 = 78
13 × 7 = 91
13 × 8 = 104
13 × 9 = 117
13 × 10 = 130
Step-by-step explanation:
Your answer would be that because that is the 13 times table up to 10 but you could keep on going therefor that is the 13 times table. Hope it helps you!
nnonononononononnnoonononno
Answer:
nnonononononononnnoonononno
Step-by-step explanation:
Thanks for the pts
✌️❤️✌️
Jessica increases the temperature of a block of ice by 20º. Which integer represents the amount by which Jessica must change the temperature for the block of ice to return to its starting temperature?
–40
–20
20
40
Answer:
-- 20 because block of ice was cold to increase the temperature of block of ice Jessica increase the temperature that is 20 degrees or +20 so to decrease the temperature he / she decrease the temperature or --20
so the answer is -- 20 degree
Answer:
it will be 20 becuase it says increase not decrease
Step-by-step explanation:
Simply expression
Please show steps
Answer:
3(x + 5y) - 2(x + y)
3x + 15y - 2x - 2y
x + 13y
(3x + 15y) + (-2x + -2y)
x + 13y
the following histogram shows the number of days during the school year that students bought lunch. How many total students are at the school?