[1] … … 2x₁ + 0x₂ + 3x₃ = 3
[2] … … 4x₁ - 3x₂ + 7x₃ = 5
[3] … … 8x₁ - 9x₂ + 15x₃ = 10
Since [1] is already free of x₂, you might as well start by eliminating x₂ from the other two equations. Add -3 times [2] to [3] :
-3 (4x₁ - 3x₂ + 7x₃) + (8x₁ - 9x₂ + 15x₃) = -3 (5) + 10
-12x₁ + 9x₂ - 21x₃ + 8x₁ - 9x₂ + 15x₃ = -15 + 10
-4x₁ - 6x₃ = -5
[4] … … 4x₁ + 6x₃ = 5
Now eliminate x₃ in [1] and [4]. Add -2 times [1] to [4] :
-2 (2x₁ + 3x₃) + (4x₁ + 6x₃) = -2 (3) + 5
-4x₁ - 6x₃ + 4x₁ + 6x₃ = -6 + 5
0 = -1
which is a contradiction. This means the system has no solution.
Convert the fraction 6/10 to a decimal.
Answer:
0.60
Step-by-step explanation:
Answer:
.60
Step-by-step explanation:
Line t is tangent to the circle . Find AB (click photo)
Answer:
mAB=130°
Step-by-step explanation:
The tangent-chord theorem tells us that the angle the tangent makes with the curve (65°) is half the measure of the arc (mAB):
mAB=2(65)=130°
The value of measure of arc AB is,
⇒ m AB = 130°
What is mean by Angle?
An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
Line t is tangent to the circle.
Now, We know that;
The tangent-chord theorem tells us that the angle the tangent makes with the curve is half the measure of the arc.
Hence, We can formulate;
⇒ m AB = 2 × 65°
= 130°
Thus, The value of measure of arc AB is,
⇒ m AB = 130°
Learn more about the angle visit:;
https://brainly.com/question/25716982
#SPJ2
Find the axis of symmetry of the parabola y=2x^2+4x-1
Answer:22
Step-by-step explanation:
Add
Multiply
Divide
2) Eileen wants to borrow $40,000 to buy a new car. I She is willing to make monthly payments for 5 years. The Metro Bank offers her a loan of $40,000 for five years; the rate of interest is 6% compounded monthly. If Eileen chooses to borrow the money,
a) how much total interest will she pay?
b) how much simple interest will she pay?
c) how much compound interest will she pay?
Answer:
BLM
Step-by-step explanation:
A college-entrance exam is designed so that scores are normally distributed with a mean of 500 and a standard deviation of 100. You scored a 625. Calculate your z-score to the nearest hundredth (i.e. 2 decimal places).
z=
Answer: The required z-score = 1.25
Step-by-step explanation:
Let x be a random variable that denotes the scores in the exam.
The formula for z-score = [tex]\dfrac{X-\text{mean}}{\text{standard deviation}}[/tex]
As per given, we have
X= 625, mean=500, standard deviation = 100
Z-score = [tex]\dfrac{625-500}{100}[/tex]
i.e. Z-score = [tex]\dfrac{125}{100}[/tex]
i.e. Z-score =1.25
Hence, the required z-score = 1.25
all parallelogram are rectangle?true or false
Answer. False... All rectangles are parallelograms.
I hope this helps! I would really appreciate it if you would please mark me brainliest! Have a blessed day!
Answer: False
Step-by-step explanation:
Parallelogram does not include some of rectangle's property
Having four congruent anglesHaving congruent diagonalsIf you need a more graphical explanation, refer to the attachment below.
(Will dive brainly!! please!!)
The Steven's family owns a house worth $280,000, of which they still owe $113,545 on the mortgage. They also own two cars, one worth $5,200 and the other worth $15,600. They still owe $9,200 on one of the car loans. They have $2,300 in credit card debt and owe $18,200 for their daughter's wedding. What is their net worth?
A) $157,555
B) $162,155
C) $300,800
D) $143,245
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Answer:
A) $157,555
Step-by-step explanation:
The sum of assets is ...
house + 2 cars = $280,000 +5,200 +15,600 = $300,800
The sum of liabilities is ...
mortgage +car loan +credit card +wedding
= $113,545 +9,200 +2,300 +18,200 = $143,245
The family's net worth is the difference between assets and liabilities:
$300,800 -143,245 = $157,555
The first sequence rule is add 5 starting from 20. The second sequence rule is subtract 7 starting from 56. What is the first number that appears in both sequences?
25
28
42
35
Answer:
35
Step-by-step explanation:
its the 4th step your welcome
20-25-30-35
56-49-42-35
Answer: 35 I got it correct on the quiz
Step-by-step explanation:
Can u guys help me pls ill give u 20 points
Answer:
Its either L or N im not sure but if i had to guess out of the two i think its L.
Step-by-step explanation:
The area of the triangle below is 23.4 square inches. What is the length of the base?
Answer:
zxcfghg
Step-by-step explanation:
xsdfghj
What is the length of BE?
14 units
17 units
27 units
34 units
Answer:
you have to give is more than that
Step-by-step explanation:
mb 27
Answer:
the length of BE is 27 units
Step-by-step explanation:
find the value of x. 5.1 perp and angle bisectors geo
Answer:
7
Step-by-step explanation:
4x+30=9x-5
35=5x
x=7
(ignore the answer choice i put down i completely guessed)
Answer:17
Step-by-step explanation:
32 / (-4) . 3 - (-1)
Answer:
-32
Explanation:
32/ -4 = -8
3 - -1 = 3+1 = 4
-8x4 = -32
Find the area of the white region in the diagram shown.
Answer:
Option 4
Step-by-step explanation:
Area of shaded region = Area of the circle - Area of the shaded triangles
Area of the circle = πr²
r = Radius of the circle
Therefore, area of the circle = π(4)²
= 16π
Area of the given triangles = [tex]2[\frac{1}{2}(\text{Base})(\text{Height})][/tex]
= Base × Height
= (4 × 4)
= 16
Area of the shaded region = 16π - 16
Option 4 will be the correct option.
What is the lateral area of the pyramid
Answer:
43.75 ft²
Step-by-step explanation:
[tex]s_l[/tex] = (l√(w/2)² + h²) + (w√(l/2)² + h²)
l & w become 3.5, and h becomes 6.
[tex]s_l[/tex] = (3.5√(3.5/2)² + 6²) + (3.5√(3.5/2)² + 6²)
Step 1:Because this is a square pyramid, what you see above essentially becomes what you see below.
[tex]s_l[/tex] = 2(3.5√(3.5/2)² + 6²)
Step 2: Divide 3.5 by 2 to get 1.75.
[tex]s_l[/tex] = 2(3.5√1.75² + 6²)
Step 3: Square both 1.75 and 6 to get 3.0625 and 36 respectively.
[tex]s_l[/tex] = 2(3.5√3.0625 + 36)
Step 4: Add 3.0625 and 36 to get 39.0625.
[tex]s_l[/tex] = 2(3.5√39.0625)
Step 5: The square root of 39.0625 is 6.25.
[tex]s_l[/tex] = 2(3.5 * 6.25)
Step 6: Multiply 3.5 by 6.25 to get 21.875.
[tex]s_l[/tex] = 2(21.875)
Step 7: Multiply 2 by 21.875 to get 43.75.
[tex]s_l[/tex] = 43.75 ft²
The lateral area of this pyramid is 43.75 ft².
a. Write the following expression in standard form by expanding and collecting like terms.
3(4a + 6) + 2(a – 10)
Answer:
14a -2
Step-by-step explanation:
3(4a + 6) + 2(a – 10)
Distribute
12a+18 +2a -20
Combine like terms
12a+2a +18 -20
14a -2
Answer:
14a-2
Step-by-step explanation:
12a+18+2a-20
please solve below !!
Answer:
square root of 113 or 10.6
Step-by-step explanation:
7^2+ 8^2= C
49+64=C
113=C
square root of 113 OR 10.6
Hope this helped :)
Answer:
The answer is: 10.63
Step-by-step explanation:
7^2+8^2=c^2
113=c^2
sqrt113
10.63
can i get brainliest
On rainy weekend days, the probability that Karen bakes bread is
90%. On the weekend, the probability of rain is 50%. There is a 29%
chance that today is a weekend day. What is the probability that today
is a rainy weekend day in which Karen is baking bread?
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Answer:
13%
Step-by-step explanation:
The probability is the product of the individual probabilities.
p(baking | rainy weekend) = 0.90
p(rainy weekend) = p(rain | weekend) × p(weekend) = 0.50×0.29 = 0.145
Then ...
p(baking) = p(baking | rainy weekend) × p(rainy weekend) =
0.90 × 0.145 = 0.1305 ≈ 13%
Help please I’m so behind
Answer: 5 and 27 as remainder
Step-by-step explanation:
4/5-2/3 in simplest term
Answer: =2/15
Step-by-step explanation: Hope this help :D
Answer:
2/15
Step-by-step explanation:
4/5 - 2/3
Step 1: Find a common denominator. 5 and 3 don't share any factors other than 1, so multiply them to get 15.
12/15 - 10/15
(12 - 10)/15
Step 2: Subtract 10 from 12 to get 2.
2/15
4/5 - 2/3 simplified is 2/15.
Which of the following are mathematical sentences? Check all that applu
A. 4- d= 12
B. 4-V> 2
C. 3 + 2
D. 59
E. 6 + a = 13
F. 12x
Answer:
The correct options are:
A, B, and E.
Step-by-step explanation:
A mathematical sentence (or a mathematical statement) is a sentence that can be true or false.
This is the only criteria we need to check, now let's analyze each option.
A: 4 - d = 12
This can be true or false, for example, if d = 0 the sentence is false because:
4 - 0 = 12
4 = 12 is false.
and if d = -8 the sentence is true, because:
4 - (-8) = 12
4 + 8 = 12
12 = 12
is true.
B: 4 - V > 2
This sentence can be true or false, same reasoning as before, we can find values of V such that this is true or false.
C: 3 + 2
Now, here we can't say if this is true or false, so this is not a mathematical sentence.
D: 59
Same as before, this is just a number.
E: 6 + a = 13
This can be true or false, depending on the value of a, then this is a mathematical sentence.
F: 12*x
Here we can not say if this is true or false, so this is not a mathematical sentence.
The correct options are:
A, B, and E.
Amelia went to the candy store and bought 5/6 of a pound of candy. If 1/2 of Amelia's candy
was chocolate, how many pounds of chocolate candy did Amelia buy?
Answer:
5/12 pounds of chocolate
Step-by-step explanation:
converting 5/6 to 10/12, half of that is is 5/12. hope this helps !!! :D
Answer: 5/12 or about 0.42
Step-by-step explanation:
You are looking for 1/2 of 5/6
5/6 times 1/2 = 5/12
I hope it helps!
Please please help me out
Answer:
a) A = p(1 + r)^t
b) A = 500(1 + 0.07)^2=572.45
Step-by-step explanation:
t=2 in b)
Can someone please help me out with this?
Can someone please help me out with this? I reckon that the answer would be A because its just the median of the median so that would x out median and B and D simply don’t make sense to me. Do you guys agree with me or not? I just wanna make sure I am thinking about this the right way.
Put the word “aware” before or after your answer if your gonna send a link. I would like to know if they are bots. (99% sure they are)
Answer:
B (range)
Step-by-step explanation:
The IQR would actually increase, because the Q1, Q2, and Q3 would get most likely larger. (Or possibly stay the same).
The median would most likely increase, possibly stay the same.
The maximu would stay the same.
The range would decrease, because right now it’s 13, so without the outlier, the minimum value would be closer to the rest of the data.
Six years ago Matt was four times as old as Brown, and in 3 years the sum of their ages will be 43 years. Find their present ages.
Answer:
matt=26 brown=11
Step-by-step explanation:
use ur brain and do it backwards or look at the guy above me
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Trapping Mysefin
Equations of a Line: Tutorial
16 of 20
Save & Eat
Question 1
Part A
Graph the equation y = -50% - 100 by going to your math tools and opening the Graph tool. Set the scale of the y-axis to range from -150 to 50, and
set the x-values to range from 5 to 10. Paste a screenshot of your graph in the answer field.
B IV X
Font Sizes
A-A-EZ
Characters used: 0/ 15000
Submit
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
IM GIVING 20 POINTS PLEASE HELP AAA
Sarah wants to find out how many apps she can download on her phone. She know that 5 apps cost $20. Create 3 ratio tables using: addition, multiplication and rate reasoning to show how many apps Sarah could download. Include 3-5 entries per table. Be prepared to explain how you arrived at your ratios.
Answer:
the ration of 3:5. 5 x 4 gives you 20 so, 3x4 gives you 12.
Use the graph below to answer questions 1−4
1. What are the coordinates of point F?
A. (7, 5)
B. (7, −5)
C. (−5, 7)
D. (5, −7)
2. Which point is located at (−2, −6)?
A. F
B. G
C. H
D. K
3. Which point is located in quadrant IV?
A. G
B. J
C. K
D. L
What are the coordinates of point M?
A. (1, −3)
B. (−3, 1)
C. (3, −1)
D. (−3, −1)
1: F is equal to (7,-5) and 2 is equal to K and 3 is equal to B and 4 is equal to B
Fill in the blank with a symbol that makes this statement true: 2/5 ____ 1/2
