Answer:
do you need the value of x?
x=7+6y+2z
-2(7+6y+2z)+5y+2z=-1 -7y=13+2z
-14-12y-4z+5y+2z=-1
-14-7y-2z=-1
-7y-2z=-1+14
-7y-2z=13
Answer:
x= -1, y= -1 and z= -1
Step-by-step explanation:
x-6y-2z= 7 (Equation 1)
-2x+5y-2z= -1 (Equation 2)
-5x+6y+5z= -6 (Equation 3)
The above three are your system of equations and you need x3 answers!
Use equations (1) and (2) to eliminate z. Multiply equation (1) by −1 and then add to equation (2) to eliminate z. Resulting in:
−x+6y+2z= -7 (1)
−2x+5y−2z= -1 (2)
Adding them together results in your 4th equation:
-3x+11y= -8 (4)
Use equations (1) and (3) to eliminate z. Multiply equation (1) by −5 and equation (3) by −2 and then add to eliminate z. Resulting in:
−5x+30y+10z= -35 (1)
10x-12y-10z= 12 (3)
Add them to get:
5x+18y= -23 (5)
Use equations (4) and (5) to solve for x. Multiply equation (4) by 18 and equation (5) by −11 and then add to eliminate y.
−54x+198y= -144
-55x-198y= 253
-109x=109 (Divide -109 from both sides to isolate x)
x= -1 <---- ANSWER 1
Substitute x=−1 into equation (4) to find:
−3x+11y= -8
-3(-1)+11y= -8
3+11y= -8 (Subtract 3 from both sides)
11y=-11 (Divide 11 from both sides to isolate y)
y=-1 <---- ANSWER 2
Now we can substitute x=−1 and y=−1 into equation (1) to find:
x-6y-2z= 7
(-1)-6(-1)-2z=7
-2z+5=7 (Subtract 5 from both sides to isolate z)
z= -1 <---- ANSWER 3
Hope this explains it for you! Enjoy! <3
If 3/7 of Z is 42, what is 5/7 of Z?
Answer:
x = 70
Step-by-step explanation:
First to make the equation easy, divide 42 by 3 to get what 1/7 of Z equals.
42 / 3 = 14
Now to get 5/7 of Z, just multiply 14 by 5.
14 x 5 = 70
x = 70
Hope this helped.
Answer:
70
Step-by-step explanation:
convert the decimal & solve for Z.
(3/7)Z = 42
(0.4286)Z = 42
Z = 98
Now,
(5/7)Z = ?
putting the value of Z
(0.714) (98) = 70
A bag contains five white balls and five black balls. Your goal is to draw two black balls.
a) You draw two balls at random. What is the probability that they are both black?
b) You draw two balls at random. Once you have drawn two balls, you put back any white balls, and redraw so that you again have two drawn balls. What is the probability that you now have two black balls? (Include the probability that you chose two black balls on the first draw.)
The probability of drawing two black balls from a bag containing 5 white and 5 black balls is 2/9 (approximately 0.22) if you do not replace balls after drawing them, and 1 if you replace any white balls that are drawn.
Explanation:This question relates to the concept of probability in mathematics. The total number of balls in your bag is 10 (5 white balls and 5 black balls). If you want to draw two black balls, the probability will change based on the conditions of the question.
a) For the first draw, there are 5 black balls out of a total of 10 balls, so the probability is 5/10 or 0.5. If a black ball is drawn in the first draw, there are now 9 total balls and 4 of them are black, so the probability for the second black ball is 4/9. For both balls to be black, multiply the individual probabilities: (5/10) * (4/9) = 20/90 = 2/9 approximately equal to 0.22.
b) If you draw two balls and put back any white balls, then redraw until you have two balls, you are essentially ensuring that white balls are not counted. In this case, every draw will either be a black ball or a redraw with a white ball, so the probability is essentially 1 that you will eventually draw a black ball. Therefore, the probability of drawing two black balls using this method is (1/1) * (1/1) = 1.
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Find the LCM of 91, 143 and 169
Answer:
13013
Step-by-step explanation:
Express each number in terms of the product of prime numbers.
91 = 7 × 13
143 = 11 × 13
169 = 13 × 13
Now consider the maximum number of times each factor occurs for each number.
The factor 7 occurs once
The factor 11 occurs once
The factor 13 is repeated twice ( maximum number of times for 1 number )
Thus LCM = 7 × 11 × 13 × 13 = 13013
91 = 7×13
143 = 11×13
169 = 13²
LCM = 7×11×13² = 77×169 = 13013
Simplify : a) [tex]\sqrt{x} 0.49x^1^8[/tex] when x<0
Simplify : b) [tex]15\sqrt{x} 0.16c^1^2[/tex] x can be anything
(a) The simplified expression is [tex]\[-0.49 \cdot |x|^{18.5} \cdot i\][/tex]. (b) The simplified expression remains [tex]\[15\sqrt{x} + 0.16c^{12}\][/tex].
Let's simplify the given expressions step-by-step.
a) Simplify [tex]\(\sqrt{x} \cdot 0.49x^{18}\) for \(x < 0\)[/tex]
Since [tex]\(x < 0\), \(x\)[/tex] is negative. This affects the interpretation of [tex]\(\sqrt{x}\)[/tex] in the real numbers because the square root of a negative number is not real. However, if we consider complex numbers, we need to include the imaginary unit [tex]\(i\).[/tex]
Given:
[tex]\[\sqrt{x} \cdot 0.49x^{18}\][/tex]
First, let's express [tex]\(\sqrt{x}\)[/tex] in terms of the imaginary unit:
[tex]\[\sqrt{x} = \sqrt{|x|} \cdot i\][/tex]
Next, rewrite \(x^{18}\):
[tex]\[x^{18} = (x^2)^9 \\= |x|^{18} \cdot (-1)^9 \\= -|x|^{18}\][/tex]
Thus, the expression becomes:
[tex]\[\sqrt{|x|} \cdot i \cdot 0.49 \cdot -|x|^{18}\][/tex]
Simplify the coefficients and combine terms:
[tex]\[0.49 \cdot -1 = -0.49\\\sqrt{|x|} \cdot |x|^{18} = |x|^{\frac{1}{2}} \cdot |x|^{18} = |x|^{18.5}\][/tex]
Therefore, the simplified expression is:
[tex]\[-0.49 \cdot |x|^{18.5} \cdot i\][/tex]
b) Simplify [tex]\(15\sqrt{x} + 0.16c^{12}\)[/tex]
Here, [tex]\(x\) and \(c\)[/tex] can be anything.
Given:
[tex]\[15\sqrt{x} + 0.16c^{12}\][/tex]
There are no common factors to combine these terms, so the expression is already simplified. The terms involve different variables and exponents, and cannot be further simplified together.
So the simplified expression remains [tex]\[15\sqrt{x} + 0.16c^{12}\][/tex]
a) The simplified expression is [tex]\[-0.49 \cdot |x|^{18.5} \cdot i\].[/tex]
b) The expression remains as usual given in the question:
[tex]\[15\sqrt{x} + 0.16c^{12}\][/tex]
ida goes to the store to buy groceries. To pay for the groceries, she slides the card through a card reader and puts in a special code. Which payment method is this?
Answer:
Credit Card
Step-by-step explanation:
This is most likely a credit card.
You only need to put a special code in when you're inputting a credit cards pin number.
it is c my dudes yes hes yes
At a given time of day , the ratio of the height of an object to the length of its shadow is the same for all objects. If a 4-ft stick in the ground casts a shadow of 2.4 ft, find the height of a tree that casts of shadow that is 23.04ft.
Answer:
38.40 ft
Step-by-step explanation:
The problem statement tells you the proportion is ...
height/shadow = (4 ft)/(2.4 ft) = (tree height)/(23.04 ft)
Multiplying by 23.04 ft, we find ...
tree height = (23.04 ft)(4/2.4) = 38.40 ft
The height of the tree is 38.40 ft.
In a certain school 75% of the students in first year chemistry have had algebra if there are 300 students in first year chemistry how many of them have had algebra?
Answer:
225
Step-by-step explanation:
Total number of students =300
75% have had algebra
Number of students that have had algebra will be
= 75%/100% x 300
= 0.75 x 300
= 225
So, 225 of the 300 students have had algebra
Answer:225 students
There are 2 simple ways to get the answer.
2/3x=6 what does x equal
Answer:
1
Step-by-step explanation:
You need to do the opposite of multiplying which is dividing so divide 6/3= 2 then you divide 2/2 which is 1
Choose the fraction that goes in the blank. 5/12< _____<3/4
Answer:
All of the following fractions work: 1/2, 7/12, 8/12. There are endless possibilities.
Please mark as Brainliest! :)
Answer:
6/12 ; 7/12 ; 8/12
Step-by-step explanation:
³⁾3/4 = 9/12
5/12 < 6/12 < 7/12 < 8/12 < 9/12
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Suppose θ is an angle in the standard position whose terminal side is in Quadrant IV and cotθ= -2/17 . Find the exact values of the five remaining trigonometric functions of θ.
Final answer:
Given an angle θ in Quadrant IV with cotθ = -2/17, a right triangle is formed. Using the Pythagorean theorem, the hypotenuse is calculated, and the five additional trigonometric functions of θ are determined with appropriate signs for Quadrant IV.
Explanation:
If θ is an angle in the standard position whose terminal side is in Quadrant IV and cotθ = -2/17, we can find the five remaining trigonometric functions.
The cotangent of an angle θ, which is the reciprocal of the tangent, tells us that the tangent of θ is -17/2. Since the angle is in Quadrant IV, where cosine and secant are positive but sine and cosecant are negative, we can form a right triangle within the coordinate plane to represent this scenario. In this triangle, the adjacent side (x) to the angle θ will be positive, and the opposite side (y) will be negative.
Using the Pythagorean theorem, if we assume the adjacent side to be 17 (because cotθ = adjacent/opposite), and the opposite side to be -2 (to make cotθ = 17/(-2) = -2/17), the hypotenuse (r) can be calculated as:
√(17² + (-2)²) = √(289 + 4) = √293
Now we can find the other five trigonometric functions:
Sinθ = opposite/hypotenuse = -2/√293Cosθ = adjacent/hypotenuse = 17/√293Tanθ = opposite/adjacent = -2/17 (which was given)Cscθ = hypotenuse/opposite = -√293/2Secθ = hypotenuse/adjacent = √293/17The signs of these values are consistent with the properties of trigonometric functions in the fourth quadrant.
I’ve been stuck on this question for a while someone please help me
A) Equation: f = 2.75p
B) 38.5 cups of flour are needed to make 14 pound cakes
Step-by-step explanation:
A)
The table shows the following data:
Pound cakes, p 3 6 9
Cups of flour, f 8.25 16.5 24.75
From the table, we notice that the increase in cups of flour needed per increase in pound cakes is:
[tex]m=\frac{16.5-8.25}{6-3}=\frac{8.25}{3}=2.75[/tex]
This means that for each additional pound cake, we need 8.25 more cups of flour.
This is a direct relationship between the two variables, therefore we can write their relationship using the equation:
[tex]f=2.75 p[/tex]
B)
Now we can complete the table.
We have to found how many cups of flour are needed when the number of pound cakes is
p = 14
In order to do that, we use the equation found in part A):
f = 2.75p
And substituting p = 14 into the equation, we find
f = (2.75)(14)= 38.5
Which means that 38.5 cups of flour are needed to make 14 pound cakes.
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Will make brainliest if answered correctly
Answer: Yes it is
Step-by-step explanation: In mathematics, a function is a relation between sets that associates to every element of a first set exactly one element of the second set
Answer:
yes
hope this helps
Simplify this algebraic expression completely.
5y- 3(y + 2)
Distributive property: 5y-3y-6
Combine like terms: 2y-6
So there's your answer
To simplify the given expression, distribute the -3 to both terms inside the parentheses, then combine like terms.
Explanation:To simplify the expression 5y - 3(y + 2), we need to follow the order of operations, which is parentheses first, then multiplication and division, and finally addition and subtraction.
First, distribute the -3 to both terms inside the parentheses:
5y - 3 * y - 3 * 2
Now, simplify each term:
5y - 3y - 6
Combine like terms:
2y - 6
This is the simplified form of the given expression.
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ZX is the perpendicular bisector of wY, and YZ = 13.75. Find wz.
The required values are WZ = 13.75 and YZ = 27.
What is a perpendicular bisector?A perpendicular bisector is defined as a line that divides an angle into two equal angles. Draw the given angle first, then cut it in half, and then draw the angle's bisector.
As per question 1,
We have been given that ZX is the perpendicular bisector of WY
YZ = 13.75
13.75 + 13.75 = 27.5
27.5 / 2 = 13.75
WZ = 13.75
As per question 2,
We have been given that ZX is the perpendicular bisector of WY
WZ = 4n - 13 and YZ = n + 17
To find YZ
According to the property of the perpendicular bisector,
WZ = YZ
4n - 13 = n + 17
4n - n = 17 + 13
3n = 30
n = 30/3
n = 10
Substitute the value of n = 10 in YZ = n + 17
So, YZ = 10 + 17 = 27
Thus, the required values are WZ = 13.75 and YZ = 27.
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9. What is the area of the largest square?
A=2
A=36units2
A=64units2
Answer:
If you mean Area=2 and Area=36units times 2 and Area=64units times 2, then the answer is that A = 64units times 2 would be the largest square.
Step-by-step explanation:
The larger the area, the larger the square. The first square has an area of 2. The second square has an area of 72, and the third square has an area of 128, so the third square is the biggest.
Totsakan's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 1 adult tickets and 8 child tickets for a total of $117. The school took in $182 on the second day by selling 6 adult tickets and 8 child tickets. Find the price of an adult ticket and the price of a child ticket.
Answer:
Each ticket cost $13
Step-by-step explanation:
Day 1-- 1 adult and 8 child ticket= Total of 9 tickets = $117
Day 2--6 adult and 8 child ticket= Total of 14 = $182
Brainliest please :)
5x
4x - 8
Find the value of x.
68 + x
x= 30°
x = 10.4°
x = 12°
x = 24°
Answer:
x = 12
Step-by-step explanation:
Molly is saving money to buy a new bike that costs $189. He has save $99 so far. He plans on saving $10 each week. Write and solve an equations to determine after how many weeks Molly will have enough money to buy the bike.
Answer: Molly will have to save $10 each week for 9 weeks to get $189.
Step-by-step explanation:
Start at $99, count $10 every week until you get $189. Your answer is 9 weeks.
If Lin wants to save 75$ for a trip to the city and has already saved 37.50 so far what percentage of her goal has she saved
Answer:
50%
Step-by-step explanation:
Let X be the % of total that she has saved
X/100 x 75 = 37.50
75X = 37.50 x 100
X = 37.50 x 100 / 75
= 3750/75
= 50%
f(x)=x^2. What is g(x)?
Answer:
The answer is A
Step-by-step explanation:
B (1/4x)^2 will widen the parabola
C 4x^2 is too wide to be g(x)
D (16x)^2 is too narrow to be g(x)
A is the correct answer. When graphed on desmos . com / calculator it shows this is the correct answer. I hope this helped!
What scenario below represents 85% earning 56 out of 70 points on a test are you 78 out of 90 points on a test earning 102 out of 120 points on a test
Answer:
The scenario that represents a 85% of success on a test is C. 102 out of 120 points
Step-by-step explanation:
Let's analyze which of the scenarios given, represent a 85% of success on a test, this way:
Scenario A:
56 out of 70 points = 56/70 = 0.8
This scenario represents a 80% of success
Scenario B:
78 out of 90 points = 78/90 = 0.867
This scenario represents a 86.7% of success
Scenario C:
102 out of 120 points = 102/120 = 0.85
This scenario represents a 85% of success
(Easy) help please **attachment**
Answer:
Step-by-step explanation:
Supplementary: ADC
Complementary: AC
Adjacent: ABC
Hope this helps.
A graduated cylinder is filled with 36 cm 3 of liquid the liquid is poured into a different cylinder that has a radius of 3cm , what will the height of the liquid be in the new cylinder ?
The height of the liquid in the new cylinder is about 1.72 cm
Step-by-step explanation:
The formula of the volume of a cylinder is V = πr²h, where
r is the radius of the base of the cylinderh is the height of the cylinder∵ The volume of the liquid = 36 cm³
∵ The liquid is poured into another cylinder with radius 3 cm
∵ The radius of the base = 3 cm
- To find the height of the liquid in the new cylinder equate the rule
of the volume by 36
∵ V = πr²h
∴ π(3)²h = 36
∴ 9πh = 36
- Divide both sides by 9π
∴ h = 1.273239545
The height of the liquid in the new cylinder is about 1.72 cm
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Find the area of the shape shown below.
Answer:
936
Step-by-step explanation:
1 x 12 x 13 x 6= 936
Here is some evidence
Answer:36
Step-by-step explanation: L•w/2 = A for triangular
Write the Contrapositive of the statement Below.⬇
If you have, 400$, then you can afford a new laptop computer.
Answer:
If you can't afford a new laptop computer, then you haven't got 400$.
Step-by-step explanation:
The contrapositive is:
If A implies B then not B implies not A.
cos^2x+sin^2x/cot^2x-csc^2x
[tex]\frac{cos^2x + sin^2x}{cot^2x - cosec^2x} = -1[/tex]
Solution:
Given trignometric expression is:
[tex]\frac{cos^2x + sin^2x}{cot^2x - cosec^2x}[/tex]
We have to evaluate the above expression
Let us use the trignometric identities
[tex]sin^2x + cos^2x = 1[/tex]
Also, use another trignometric identitiy
[tex]1 + cot^2x = cosec^2x[/tex]
Therefore, upon rearranging we get,
[tex]cot^2 x -cosec^x = -1[/tex]
Apply these two identities in given expression
[tex]\frac{cos^2x + sin^2x}{cot^2x - cosec^2x} = \frac{1}{-1}\\\\\frac{cos^2x + sin^2x}{cot^2x - cosec^2x} = -1[/tex]
Thus value of given expression is -1
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What is the vertex of the function: f(x) = x² + 12x ? Please explain.
(–6, 0)
(-6, -36)
(6, 0)
(6, –36)
The vertex of the function is (-6,-36).
Step-by-step explanation:
f(x) = x²+ 12x
From the above function, we can find the x- coordinate of the vertex as,
x = -b/2a
Here a = 1, b = 12
Plugin the values as,
x = -12 /(2×1) = -6
Now plug in the x value in the above function, we will get y as,
f(x) = y = x² + 12x = (-6)² + 12(-6)
= 36-72 = -36
So the vertex is (-6, -36).
find the next 3 terms in the sequence:30,22,14,6
A.-3,-12,-21
B.-1,-8,-15
C.-1,-2,3
D.-2,-10,-18
Answer:
D
Step-by-step explanation:
Note the difference between consecutive terms is constant, that is
22 - 30 = - 8
14 - 22 = - 8
6 - 14 = - 8
To obtain a term in the sequence subtract 8 from the previous term, thus
6 - 8 = - 2
- 2 - 8 = - 10
- 10 - 8 = - 18
The next 3 terms in the sequence are - 2, - 10, - 18 → D
let h represent Mark’s height in inches. Suzanne is 7 inches shorter than mark. Write an algebraic expression that represents Suzanne’s height in inches.
Answer
h-7
Step-by-step explanation:
Write 5/10 in 3 equivalent forms
Answer:
0.5 50/100 0.50
Step-by-step explanation: