Answer:
1. x = 2 y = 1
2. x = 17 y = 29/3
Step-by-step explanation:
1. Use elimination
-4x+3y=-5
4x-5y=3
x's cancel, so add them
-2y = -2
y = 1
substitute
4x -5(1) = 3
4x - 5 = 3
4x = 8
x = 2
2. Use elimination
2x+3y=36
10x-6y=12
Multiply top equasion by 5
10x+30y = 360
10x-6y = 12
x's cancel so subract
36y = 348
y = 29/3
Substitute
2x+3(2/3)=36
2x+2 = 36
2x = 34
x = 17
Needing help on my geometry final, I have been in and out of the hospital, any help is appreciated.
1. In the first figure, what is the area of DEF? Show your work.
2. In his suitcase, Jack has 3 shirts, 2 pants, 3 pairs of socks, and 2 pairs of shoes, how many unique ways can Jack get dresed? Show your work.
3. In the second figure, what is the area of quadrilateral QRST if QS = 18 and RT = 24? Show your work.
4. Suppose you draw one card from a deck of 52 cards. A standard deck of cards has 4 of each type of card, so the deck contains 4 queens and 4 kings. What is the possibility that the card is a king or a queen? Explain.
5. In the last figure, suppose you throw two fair number dices. What is the probability that the sum of the results of the throw if 4,5,or 6? Show your work
Answer:
1. area = 1/2bh = (1/2)(21)(18) = 189 yd²
2. 3x2x3x2 = 36 different ways
3. area of kite = (1/2)(18)(24) = 216 units²
4. 8:52 or reduced, 2:13
5. Sorry, this is not my strong point
Step-by-step explanation:
Gabrielle is 11 years older than Mikhail. The sum of their ages is 107. What is Mikhail's age?
Answer:
Mikhail's age is 48
Step-by-step explanation:
Answer:
107-11=96
96÷2=48
so Mikhail is 48 years old
Relationships in Figures
Line segment AB is one unit long. If point C cuts AB so that AC = 0.618, what is the ratio of AC to CB?
a. 1
b. 1.618
c. 1.32
d. 1.543
Please select the best answer from the choices provided
Answer:
B. 1.618
Step-by-step explanation:
I calculated it logically
The equation of line is 2y = -3x + 4 .
What is the y-intercept of line L?
Answer:
y-intercept=2
Step-by-step explanation:
2y=-3x+4
divide both sides by 2
y=-1.5x+2
y=mx+c
'c' is the y-intercept so '2' is the answer.
Answer:
= -3/2
Step-by-step explanation:
The equation of the line = 2y = -3x + 4
2y = -3x + 4
2y = -3x + 4
2 2 2
y intercept of the line = -3/2.
How many different types of pizza could you make if you had 3 types of pizza crust, 2 types of sauces and 3 types of cheeses?
Answer:
18
Step-by-step explanation:
3x2x3=18
,,,,,,,,,,,,,,,,,,
Find WX.
Write your answer as an integer or as a decimal rounded to the nearest tenth.
Answer:
4.1
Step-by-step explanation:
cos 63° = WX/9
WX = 9 × cos 63°
WX = 4.1
Triangle SRTs angle R is 59° angle T is 79° what is the length of ST to the nearest 10th of a yard 
If Triangle SRTs angle R is 59° angle T is 79° the length of ST to the nearest 10th of a yard is 6.1
How do we find the length ST of a triangle?Since we have given that
ΔSRT is a triangle with measures :
SR = 7 yd
∠T = 79°
∠R = 59°
We need to find the side ST .
To find the length of ST, we can use the Law of Sines, which states:
sin(T) / SR = sin(R) / ST
sin(79°) / 7 = sin(59°) / ST
0.14 = sin(59°) / ST
ST = sin(59°)/0.14 ⇒ 0.8572 / 0.14 ≈ 6.1229
Therefore, the length of ST is approximately 6.1 yards to the nearest tenth of a yard
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When proving the product, quotient, or power rule of logarithms, various properties of logarithms and exponents must be used.
Which property listed below is used in all of these proofs?
When proving the properties of logarithms when exponents must be used, the property that is used in all of these is D. \(log_{b} (b^y) = y\)
What property is used in proving the properties of logarithms?When proving any property of logarithms that have to do with exponents, one property that should always be used is \(log_{b} (b^y) = y\).
Expressing y as a product of \(log_{b} (b^y)\) is the most basic property of using exponents on logs because it has both product, quotient, and power rules of logarithms.
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See attached for the question
Check the picture below.
Answer:
∠ U = 12°
Step-by-step explanation:
the inscribed angle RST is half the measure of its intercepted arc RT , then
arc RT = 2 × ∠ RST = 2 × 30° = 60°
the secant- tangent angle U is equal to half the difference of its intercepted arcs, that is
∠ U = \(\frac{1}{2}\) ( RS - RT ) = \(\frac{1}{2}\) × (84 - 60)° = \(\frac{1}{2}\) × 24° = 12°
Determine the solution for the following equation:
(8x-8)^3/2 = 64
x = 3
x = 5
x = 13
x = 65
Answer:
x=3
Step-by-step explanation:
That is your answer
The correct answer is option A which is x = 3.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
here, we have,
given that,
The expression will be solved as:-
(8x-8)^3/2 = 64
We can write 64 as 16^(3/2)
( 8x - 8 )^(3/2) = 16^(3/2)
8x - 8 = 16
8x = 24
x = 3
Therefore the correct answer is option A which is x = 3.
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The expression 63 × 42 is equivalent to which of the following numerical expressions?
18 x 8
B.
(6 x 4) 5
C.
246
D.
216 x 16
please answer
Answer:
2646
Step-by-step explanation:
is the correct answer for This question
The required equivalent expression is (216 x 16).
The correct is D.
What is Expression?In mathematics, an expression is a phrase that has at least two numbers or variables and at least one maths operation. Addition, subtraction, multiplication, or division are all examples of maths operations. An expression's structure is as follows:
(Number/variable, Math Operator, Number/variable) is an expression.
We have the Expression as,
6³ x 4²
Now, expand the exponents as
6³
= 6 x 6 x 6
= 216
and, 4² = 4 x 4 = 16
Thus, the required equivalent expression is (216 x 16).
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Two regular 6-sided dice are tossed. Compute the probability that the sum of the pips on the upward faces of the 2 dice is the following. (See the figure below for the sample space of this experiment. Enter your probability as a fraction.)
At least 11
The probability that the sum of the pips selected that is at least 11 would be = 1/12.
How to determine the probability of the selected events?To determine the probability of the selected events, the formula for problem should be used which is given below;
Probability = possible outcome/sample space
Possible outcome = at least 11 = (5,6),(6,5),(6,6)
= 3
Sample space = 36
Probability = 3/36 = 1/12
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Find The reciprocal for
2/5
6/13
21/80
Answer:
5/2 13/6 80/21
Step-by-step explanation:
the reciprocal is just flipping the fraction over, if they asked you to simplify its
4 1/2, 2 1/6, and 3 4/5
Not sure how I would solve this
Answer:
0
Step-by-step explanation:
Using the slope formula
m = (y2-y1)/(x2-x1)
= (4-4)/(3-4)
= 0/-1
= 0
An architect is planning a new town square. The square has sides that are 35 feet long. A walkway will also cut diagonally through the square. How long will the diagonal walkway be?
9514 1404 393
Answer:
49.5 ft
Step-by-step explanation:
The diagonal of a square is √2 times its side length. This means the length of the walkway will be ...
(35 ft)√2 ≈ 49.5 ft . . . walkway length
triangle p undergoes a sequence of tranformations resultig in triangle Q which sequence of transformations could be used to show that triangle Q is similar but not congruent to triangle p
The most appropriate choice for Similar and congruent triangles will be given by
Third Option dilation is correct.
What are Similar and congruent triangles?
Two triangles are similar if their angles are equal but their sides are proportional
The different axioms of similarity are SAS, SSS, AA
Two triangles are congruent if their sides and angles are both equal
The different axioms of congruency are ASA, SAS, AAS, RHS, SSS
Here, A stands for angle, S stands for side R stands for right angle, H stands for hypotenuse.
Here,
Two Similar triangle means corrosponding sides are proportional and two congruent triangle means corrosponding sides and angles and angles are same
The triangle after rotation and reflection do not change any length of side or angle. So the triangles will be same after reflection or rotation. So congruency will not be disturbed here.
Now, in case of dilation, length of each side will change but in same proportion.
So dilation can make two similar triangles but not congruent triangles
So third option is correct.
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Complete Question
Triangle P undergoes a sequence of tranformations resultig in triangle Q which sequence of transformations could be used to show that triangle Q is similar but not congruent to triangle P
a) Rotation
b) Reflection
c) Dilation
d) Any of these could be the transformation
Which number line best shows how to solve this? please help quickly thank you!
Answer:
Step-by-step explanation:
I attached the work and answer below, take a look!
Find the equation of a line with a slope of 13/2
that passes through the point (−2, — 10).
Answer: \(y=\frac{13}{2} x+3\)
Step-by-step explanation:
Remember the point-slope equation which is \(y-y_{1} = m(x-x_{1} )\) where\((x_{1} , y_{1} )\) is your point and \(m\) is your slope.
Given that we substitute what you have:
\(y-(-10) =\frac{13}{2} (x - (-2))\)
Minus and minus give us positive:
\(y+10 =\frac{13}{2} (x +2)\)
Multiply slope into the parenthesis:
\(y+10= \frac{13}{2}x + \frac{13}{2}*2\\\)
Calculate it:
\(y+10= \frac{13}{2}x +13\)
Isolate the \(y\) by subtracting 10 from both sides:
\(y=\frac{13}{2} x + 13 -10\)
Your final equation is:
\(y=\frac{13}{2} x +3\)
Hope this makes sense!
And here's the graph to prove that the line actually goes through the point \((-2,-10)\):
in which set are all of the numbers solutions to the inequality x < -3?
Answer:
x = -4, -5, -6, -7...
Step-by-step explanation:
x = all negative integers less than -3
What values of x
and y
satisfy the system of equations {8x+9y=−36 x+7y=1}
Enter your answer as an ordered pair, like this: (42, 53)
If your answer includes one or more fractions, use the / symbol to separate numerators and denominators. For example, if your answer is (4253,6475),
enter it like this: (42/53, 64/75)
If there is no solution, enter "no"; if there are infinitely many solutions, enter "inf."
The solution to the system of equations is (x, y) = (-261/47, 44/47) as an ordered pair.
To solve the given system of equations:
Equation 1: 8x + 9y = -36
Equation 2: x + 7y = 1
We can use the method of substitution or elimination to find the values of x and y. Let's use the method of substitution:
From Equation 2, we can solve for x:
x = 1 - 7y
Substituting this value of x into Equation 1:
8(1 - 7y) + 9y = -36
8 - 56y + 9y = -36
-47y = -44
y = 44/47
Substituting the value of y back into Equation 2 to find x:
x + 7(44/47) = 1
x + 308/47 = 1
x = 1 - 308/47
x = (47 - 308)/47
x = -261/47
Therefore, as an ordered pair, the solution to the system of equations is (x, y) = (-261/47, 44/47).
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Erin had 55 stuffed bears. She took out her favorite 7 bears and then equally divided the other bears among her 3 sisters. Erin's youngest sister, Su, already had 15 stuffed bears. How many stuffed bears does Su have now?
Answer:
27 stuffed bears
Step-by-step explanation:
Erin: 55 Su: 15
Erin: 55-7=48 ( 7 will be kept for herself)
Erin and her sisters: 48/4= 12
Each sister besides Erin and Su have 12
Su: 15+12=27
Thus, Su will have 27 stuffed bears
Answer:
31 Stuffed Bears
Step-by-step explanation:
55 - 7 = 48
48 / 3 = 16
16 + 15 = 31
Sue has 31 stuffed bears
Rework problem 17 from section 2.1 of your text, involving an experiment with three possible outcomes. For this problem, assume that outcome O1 has frequency 4/a, outcome O2 has frequency 12/a, and outcome O3 has frequency 3/a.
What is the value of a?
If outcome O₁ has a frequency 4/a, outcome O₂ has a frequency 12/a, and outcome O₃ has frequency 3/a, then the value of a is 19
Frequency of outcome O₁ = 4/a
Frequency of outcome O₂ = 12/a
Frequency of outcome O₃ = 3/a
Let's say 1/a = x
Now, the Frequency of outcome O₁ = 4x
Frequency of outcome O₂ = 12x
Frequency of outcome O₃ = 3x
The sum of the respective frequencies must equal 1.
So, 4x + 12x + 3x = 1
19x = 1
x = 1/19
That means that the “a” in the problem is 19.
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What is (x + 1) − (−2x − 5)
Answer:
11x+6
Step-by-step explanation:
Using FOIL
(x+1)-(-2x-5)-original
F-first=(x+2x)=3x
O-outside=(x+5)=5x
I-inside=(1+2x)=3x
L-last=(1+5)=6
11x+6
0.00046 kiloseconds to centiseconds?
Step-by-step explanation:
0.00046 kiloseconds =46CS
4096 MB=4.000002 GB
Answer:
75,000km (kilometres) converted from given 0.075 giga meters gm
gm to km multiplies by 1 million
46 cs (centisecond) converted from given 0.00046 kilo second ks
ks x cs multiplies by 100,000
4.096 GB (Gigabyte) converted from given 4096 Mega Byte MB
MB to GB divides by 1000
KB to GB divides by 1000
GB to MB multiplies by 1000
MB to KB multiplies by 1000 so that GB, MB, KB are all 1000 x each other.
0.0000002 mg (milligram) converted from 0.0002 Microgram ug
ug microgram to mg milligram divides by 1000
Explanation of cs : seconds. siemens.
Language useful fact to know is the German name of kiloseconds and centiseconds is kilosiemens and centisiemens.
Which means Siemens means seconds.
The siemens (symbol: S) is the derived unit of electric conductance, electric susceptance, and electric admittance in the International System of Units (SI). Conductance, susceptance, and admittance are the reciprocals of resistance, reactance, and impedance respectively; hence one siemens is redundantly equal to the reciprocal of one ohm (Ω−1) and is also referred to as the mho. The 14th General Conference on Weights and Measures approved the addition of the siemens as a derived unit in 1971.[1]
The unit is named after Ernst Werner von Siemens. In English, the same word siemens is used both for the singular and plural
The unit siemens for the conductance G is defined by
{\displaystyle \mathrm {[S]} =[\Omega ^{-1}]=[\mathrm {A} /\mathrm {V} ]}{\displaystyle \mathrm {[S]} =[\Omega ^{-1}]=[\mathrm {A} /\mathrm {V} ]}
where Ω is the ohm, A is the ampere, and V is the volt.
For a device with a conductance of one siemens, the electric current through the device will increase by one ampere for every increase of one volt of electric potential difference across the device.
The conductance of a resistor with a resistance of five ohms, for example, is (5 Ω)−1, which is equal to 200 mS.
Another name for the siemens is the mho (/ˈmoʊ/). As the reciprocal of one ohm, it is the word ohm spelled backwards, at the suggestion of Sir William Thomson (Lord Kelvin) in 1883.[3] Its symbol is an inverted capital Greek letter omega: U+2127 ℧ INVERTED OHM SIGN.
NIST's Guide for the Use of the International System of Units (SI) refers to the mho as an "unaccepted special name for an SI unit", and indicates that it should be strictly avoided.[4]
The SI term siemens is used universally in science and often in electrical applications, while mho is still used in some electronic contexts.
The inverted capital omega symbol (℧), while not an official SI abbreviation, is less likely to be confused with a variable than the letter 'S' when writing on a blackboard or doing algebraic calculations by hand. The usual typographical distinctions (such as italic for variables and roman for units) are difficult to maintain. Likewise, it is difficult to distinguish the symbol 'S' (siemens) from the lower-case 's' (seconds), potentially causing confusion.[5] So, for example, a pentode’s transconductance of 2.2 mS might alternatively be written as 2.2 m℧ or 2200 μ℧ (most common in the 1930s) or 2.2 mA/V.
A handwritten 'S' can also be misread as the frequency-space variable 's', commonly used in transfer functions.
The ohm had officially replaced the old "siemens unit", a unit of resistance, at an international conference in 1881.[6]
HEELLPP plss!!!!!!!!
Solve
9) The 50 cars used by a firm were inspected. 10 had faulty brakes and 15 had faulty tyres. There were 2 cars with faulty brakes but good tyres. How many cars had good brakes and good tyres? The answer is 33
Based on the information, there are 25 cars with good brakes and good tires.
How to calculate the valueTotal cars = 50
Cars with faulty brakes = 10
Cars with faulty tires = 15
Cars with faulty brakes and good tires = 2
Let's calculate the number of cars with good brakes and good tires:
Cars with faulty brakes or faulty tires = Cars with faulty brakes + Cars with faulty tires - Cars with faulty brakes and good tires
= 10 + 15 - 2
= 25
Cars with good brakes and good tires = Total cars - Cars with faulty brakes or faulty tires
= 50 - 25
= 25
Therefore, there are 25 cars with good brakes and good tires.
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10: Write an equation for the relationship between time and distance for each horse. 11: At the given rates, how far would each horse run in 12 minutes?
We want to find the motion equation for the two horses and then use these equations to find how far would run each horse in 12 minutes.
The motion equations are:
For horse A: y = (1/4) mi/min*xFor horse B: y = (2/5) mi/min*xAnd in 12 minutes horse A moves 3 miles while horse B moves 4.8 miles
Finding the equations:
We can see that both equations pass through the point (0, 0), thus both equations are proportional equations of the form:
y = k*x
Then to get the equations we just need one point on each line, for example for horse A we can use the point (8 min, 2 mi)
Replacing that in the general equation we get:
2 mi = k*8min
Now we can solve that for k
(2 mi)/(8 min) = k
(1/4) mi/min = k
Notice that this is a speed.
For horse B we can use the point (5 min, 2 mi), in the same way than above we will get:
2 mi = k*5 min
(2mi/ 5 min) = k
(2/5) mi/min = k
Then the two equations are:
For horse A: y = (1/4) mi/min*xFor horse B: y = (2/5) mi/min*xEvaluating the equationsNow we want to see how far would each horse run in 12 minutes, we get this by evaluating bot equations in x = 12 min
For horse A we get:
y = (1/4) mi/min*12min = 3mi
For hose B we get:
y = (2/5) mi/min*12min = 4.8 mi
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The perimeter and the length of two sides of triangle are 36 cm 8 cm 12 cm respectively.Calcuulate the area of triangle
The area of the triangle for which the perimeter is 36 centimeters and the length of the sides are 8 cm and 12 cm, found using the Heron's formula is 12·√(15) square centimeters.
What is the Heron's formula?Heron's formula is a formula for finding the area of a triangle which is credited to Heron of Alexandra.
The length of the third side is therefore;
36 cm - 8 cm - 12 cm = 16 cm
Heron's formula for finding the area of a triangle can be presented as follows;
Area = √(s·(s - a)·(s - b)·(s - c))
Where;
s = The semi–perimeter of the triangle = P/2
Therefore, s = (36 cm)/2 = 18 cm
a, b, and c = The lengths of the sides of the triangle
Let a represent the 8 cm side, b represent the 12 cm side and let c represent the 16 cm side, we get;
Area = √(18×(18 - 8)×(18 - 12)×(18 - 16)) = √(18 × 10 × 6 × 2) = 12·√(15)
The area of the triangle = 12·√(15) cm²
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What is the surface area of the square pyramid ?
Sorry question is only 8. Ok
Answer:
Hello! answer: 175 cm2
Step-by-step explanation:
9 × 7 = 63 63 ÷ 2 = 31.5 31.5 × 4 = 126
7 × 7 = 49 126 + 49 = 175 therefore the area is 175 Hope that helps! And I believe the unuts would be cm2 but don't quote me on it
5 in.
2 in
4 in.
5 in.
Answer: 8.32462851 × 10-5 m4
Step-by-step explanation: I multiplied them and got this. Hope this helps :)