Answers
Answer:
(a)- 2 [ ( - \frac { 1 } { 4 } ) - 12 ( - 1 ) ^ { 2 } ] - 5 [ 24 + 2 ( - 12 ) ] ^ { 2 }−2[(−
4
1
)−12(−1)
2
]−5[24+2(−12)]
2
Do the arithmetic.
Calculate -1−1 to the power of 22 and get 11.
-2\left(-\frac{1}{4}-12\right)-5\left(24+2\left(-12\right)\right)^{2}−2(−
4
1
−12)−5(24+2(−12))
2
Subtract one term from another.
Subtract 1212 from -\frac{1}{4}−
4
1
to get -\frac{49}{4}−
4
49
.
-2\left(-\frac{49}{4}\right)-5\left(24+2\left(-12\right)\right)^{2}−2(−
4
49
)−5(24+2(−12))
2
Multiply two factors together.
Multiply -2−2 and -\frac{49}{4}−
4
49
to get \frac{49}{2}
2
49
.
\frac{49}{2}-5\left(24+2\left(-12\right)\right)^{2}
2
49
−5(24+2(−12))
2
Multiply two factors together.
Multiply 22 and -12−12 to get -24−24.
\frac{49}{2}-5\left(24-24\right)^{2}
2
49
−5(24−24)
2
Subtract one term from another.
Subtract 2424 from 2424 to get 00.
\frac{49}{2}-5\times 0^{2}
2
49
−5×0
2
Multiply two factors together.
Multiply 55 and 00 to get 00.
\frac{49}{2}-0
2
49
−0
Add two terms together.
Subtract 00 from \frac{49}{2}
2
49
to get \frac{49}{2}
2
49
.
\frac{49}{2}
2
49
2
49
=24.5
(b)−a
2
b
2
−3a
3
b
2
a=−
3
1
b=−1
Step-by-step explanation:
Hope it helps u
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Related Questions
What is the measure of DE?
A. 39°
B. 37°
C. 41°
D. 40°
Answers
Answer: C 41 degrees
Step-by-step explanation:
Y=4x-4 two step function table
Answers
x y is the two-step function table of the given linear equation
0 -4
1 0
What is a linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
given an equation y = 4x -4
Use the slope-intercept form to find the slope and y-intercept.
y = mx + c
m =4
c = -4
Slope = 4
The slope of the line is the value of m, and the y-intercept is the value of b.
y-intercept : (0, -4)
x-intercept where y = 0 : (1, 0)
Therefore, the table of the two-step functions is Written below.
x y
0 -4
1 0
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Please help me, find the area to figure around to the nearest hundredth necessary.
Answers
Find value of c
[tex]48c+ 6 = 408 \div 4[/tex]
Answers
Answer:
2
Step-by-step explanation:
408 / 4 = 102
48c + 6 = 102
48c = 102 - 6
48c = 96
c = 96/48
c = 2
Hence, the value of c is 2.
Answer:
[tex] \sf \: c = 2[/tex]
Step-by-step explanation:
Given equation,
→ 48c + 6 = 408 ÷ 4
Now the value of c will be,
→ 48c + 6 = 408 ÷ 4
→ 48c + 6 = 102
→ 48c = 102 - 6
→ c = 96 ÷ 48
→ [ c = 2 ]
Hence, the value of c is 2.
pleaase someone help me !
How much would you have to repay on a credit card debt of 3500$ after 2-years if the interest rate is 19.5% compounded half-yearly .
Answers
Answer:
$ 4,865
Step-by-step explanation:
First find the simple intere
Answer:
P = A (1 + i)^n where P is the payment, A the original amount and i the interest rate for the payment period.
Assuming .195 is the annual interest rate then
i = .195 / 2 = .0975 the rate that will be compounded every 6 mos.
P = 3500 * (1 + .0975)^4 = $5078
11. A. Four times a breadth of the room is equal to 3 times the length. If the breadth had been
1 meter more and the length 1 meter less the room would have been a square. Find the
dimension of room.
Answers
The length of the rectangle is 3l/4, and the breadth of the rectangle is s = 3l/4
Let's call the original breadth of the rectangle "b" and the original length of the rectangle "l". From the information given, we know that:
4b = 3l
We also know that when the breadth is increased by 1m and the length is reduced by 1m, the rectangle becomes a square. Therefore, the new breadth and new length are equal. Let's call the new breadth and length "s".
s = b + 1 = l - 1
We can substitute the first equation into the second equation to get:
s = b + 1 = (3l/4) - 1
Now we can solve for s:
s = b + 1m = (3l/4) - 1m
s = (3l/4) - 1m + 1m = (3l/4) = l - 1m
Now we can substitute this back into the first equation:
4b = 3(l - 1m)
We can now solve for b:
4b = 3l - 3m
b = (3l/4) - (3m/4)
Therefore, the original breadth of the rectangle was (3l/4) - (3m/4) and the original length was 3l/4.
We can find the value of length and breadth by substituting the value of s in the first equation
4s = 3l
s = 3l/4
So, the length of the rectangle is 3l/4, and the breadth of the rectangle is s = 3l/4
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2x + 4y = -16
solve for y
Answers
Answer: y = -1/2x -4
Step-by-step explanation:
To solve for y, subtract 2x on both sides
2x-2x + 4y = -16 - 2x
Simplify
4y = -16 - 2x
Divide by 4 on both sides to get y by itself
4y/4 = -16 - 2x/4
Simplify
y = -4 - 1/2x
Switch the right-side terms to write them in slope-intercept form
y = -1/2x -4
the distance between two towns is 120 km there are approximately 8 km in five miles which measurement is closest to the number of miles between these two towns
Answers
Answer:
about 75
Step-by-step explanation:
Which graph shows the polar coordinates (−3,−π4) plotted?
Answers
The graph located in the lower right section represents the point with coordinates (r, θ) = (-3, -π/4).
How to chose a graph associated with given polar coordinates
A point in polar form is described by its magnitude and angle in standard position. When magnitude is negative it means that its angle is +π radians than its equivalent with positive magnitude.
Then, we can determine the angle of the resultant point by means of the following expression:
θ⁻ = θ⁺ + π (1)
Where:
θ⁺ - Angle of the equivalent point with positive magnitude, in radians.θ⁻ - Angle of the equivalent point with negative magnitude, in radians.If we know that θ⁺ = -π/4 and r = 3, then the angle of the point in standard position is:
θ⁻ = θ⁺ + π
θ⁻ = -π/4 + π
θ⁻ = 3 · π/4
Hence, the graph located in the lower right section represents the point with coordinates (r, θ) = (-3, -π/4). [tex]\blacksquare[/tex]
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Identify or mark the missing side or angle that would make triangle ABC congruent to triangle PDF by AAS. Explain why it’s the missing side or angle.
Answers
Answer:
Mark angles C and F as congruent.
Step-by-step explanation:
Angle-Angle-Side (AAS) Congruence Theorem
If any two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.
The given triangles have one corresponding angle and one corresponding side marked as congruent.
To satisfy AAS congruency, another pair of corresponding angles need to be marked as congruent.
As an included side is the side between two angles, we cannot mark angles A and P as congruent, as this would not satisfy AAS congruency since sides AB and PD would be the included sides.
Therefore, to make triangle ABC congruent to triangle PDF by AAS, mark angles C and F as congruent.
Division of mixed numberrss
Answers
Answer:
1. 99/104
2. 4/3
3. 6/5
4. 52/25
5. 57/58
6. 33/100
7. 1/2
8. 8/5
9. 4
10. 4/3
hope this helps any
please help, please, i really need help...
What type of counting problem is this?
How many different sequences of 3 playing cards (from a single 52-card deck) exist?
a. Permutation without repetition
b. combination with repetition
c. Combination without repetition
d. Permutation with repetition
Answers
Answer:
combination with repetition
Step-by-step explanation:
It is given that y is inversely proportional to the square of x and that y=48 when x=[tex]\frac{1}{2}[/tex].
Find;
(a), the formula for y in terms of x,
(b), the values of x when y=3.
Answers
Answer:
[tex]a. y = 12\times \frac{1}{x^2} \\b. x = 2 , when \ y =3[/tex]
Step-by-step explanation:
[tex]y \ is\ inversely \ proportional \ to \ square \ of \ x \ means , y \ \alpha \ \frac{1}{x^2}[/tex]
[tex]Therefore, y = k \times \frac{1}{x^2}[/tex]
Given y = 48, x = 1/2. We will find k.
[tex]y = k \times \frac{1}{x^2}\\\\48 = k \times \frac{1}{\frac{1}{4}}}\\\\k = 48 \times \frac{1}{4} =12[/tex]
Find x.
[tex]y = k \times \frac{1}{x^2} \\\\3 = 12 \times \frac{1}{x^2}\\\\\frac{3}{12} = \frac{1}{x^2}\\\\x^2 = \frac{12}{3}\\\\x^2 = 4 \\\\x = 2[/tex]
I NEED ANSWERS ASAP!!!!!!!!!!!
If WY is 4. 6, what is MZ? Round your
answer to the nearest tenth. Write NA if there
is not enough information given.
Answers
NA (There is not enough information given to determine the value of MZ)
In this question, we are given that WY is 4.6 for us to find the value of MZ We need more information to be in a position to answer this. More information includes maybe we know the value of M or at least having some relationship between WY and MZ for us to draw a conclusion and come up with the value of MZ. If at all we had a common value in WY and MZ say M then it could be easier to come to a conclusion and finally get the value of MZ.
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Finding zeros of this equation
Answers
Answer:
01?
Step-by-step explanation:
I didn't see a picture so maybe just one
4x+4y=4 3x+y=10 solve by elimination
Answers
Answer and Step-by-step explanation:
First, solve for y in the second equation because that equation would be easier to solve than the first one for y.
y = 10 - 3x.
Now, plug this into the y of the first equation, and solve for x.
4x + 4(10 - 3x) = 4
Distribute the 4.
4x + 40 - 12x = 4
Combine 4x and -12x, Subtract 4 from both sides, then add -8x to both sides.
-8x + 40 = 4
36 = 8x
Divide both sides by 8.
[tex]\frac{9}{2}[/tex] (or 4.5) = x
Now, plug this in for x in the second equation to solve for y.
3 × 4.5 + y = 10
13.5 + y = 10
Subtract 13.5 from both sides.
y = -3.5
[tex]\frac{9}{2}[/tex] (or 4.5) = x
y = -3.5
#teamtrees #PAW (Plant And Water)
willl mark you brainlieestttt
Answers
Answer:
C
Step-by-step explanation:
Answer:
- 7√10
Step-by-step explanation:
Step 1 : Take √10 common
2√10 - 5√10 - 4√10
= √10 ( 2 - 5 - 4 )
Step 2 : Subtract the numbers separately.
2 - 5 - 4
= 2 - 9
= - 7
Step 3 : Multiply √10 and - 7
√10 * - 7 = - 7√10
△BOK∼POS. Identify the coordinates of K and the scale factor.
O = 0, 0
B = 5, 0
P = 8, 0
S = 0, -12
Answers
The coordinates of K = (0, -7.5) and the scale factor is 8/5.
Consider the following figure of triangles.
△BOK and ΔPOS.
Since △BOK∼ ΔPOS, the sides of △BOK and ΔPOS must be in proportion. (from definition of triangle similarity)
i.e., OP / OB = OS / OK = PS/BK
Consider an equation,
OP / OB = OS / OK
From the diagram:
OP = 8, OB = 5, OS = 12
Substitute these values in above equation.
8/5 = 12/OK
OK = 60/8
OK = 7.5
We can observe that OK is the distance of point K from origin 'O'
So, the coordinates of K would be (0, -7.5)
And the scale factor is 8/5.
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What is the area of the composite figure below?
Answers
Answer:
33 sq cm.
Step-by-step explanation:
Let's calculate each shape serperately,
--------
For the square, the area is 25 since
5 × 5 = 25
-------
For the rectangle, the area is 8:
4 × 2 = 8
-----
Add these together to get 33 sq cm
Have a good day :)
How do the angles and sides of the outline correspond to the angles and sides of the original triangle?
Answers
The Angles and sides of the outline correspond to the angles and sides of the original triangle is done as below.
What are corresponding sides and angles?Corresponding sides and angles are a pair of matching angles or sides that are in the same spot in two different shapes.
Given:
For Corresponding Angle
The same two angle pairs are touched by corresponding sides. When the sides are equivalent, you can multiply each side by the same value to move from one triangle to another. The corresponding sides of the triangles in the similar triangles diagram are the same colour.
Form Corresponding Side
If two triangles are similar and have sides A, B, C and a, b, c, respectively, then the pair of corresponding sides are proportional,
i.e., A : a = B : b = C : c.
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Solve the system of equations.
−5x+8y=0
-7x-8y=-96
Answers
Answer:
-5x+8y-7x-8y=-96
-12x =-96
X= 8
if X=8,
(-5×8)+8y=0
8y=40
y=5
x=8
y=5
[tex] \huge{ \mathrm{ \underline{Answer :}}}[/tex]
The given equations are : -
−5x + 8y = 0 - [1]
-7x - 8y = -96 -[2]
Add the equations :[tex]\mathrm{- 5x + 8y + (- 7x - 8y) = 0 + (- 96)}[/tex][tex]\mathrm{- 5x + 8y - 7x - 8y = - 96}[/tex][tex] - 12x = - 96[/tex][tex]x = 8[/tex]_____________________________
plugging value of x in [1] :[tex] - 5x + 8y = 0[/tex][tex]( - 5 \times 8) + 8y = 0[/tex][tex] - 40 + 8y = 0[/tex][tex]8y = 40[/tex][tex]y = 5[/tex]_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
A car dealer offers 5%
off the invoice price of
a new car. A customer
buys a car with an in-
voice price of $24,500.
How many dollars does
the customer save?
Helppp
Answers
Answer:
$1225
Step-by-step explanation:
You have to multiple 24,500 by .05
Answer:
The customer saves $1,225.
Step-by-step explanation:
Find 5% of $24,500. This is done by writing the decimal fraction 0.05 and multiplying $24,500:
0.05($24,500) = $1,225
The customer saves $1,225.
What is the missing length?
Help
Answers
Answer:
5 in. the answer lies in the Pythagorean theorem
Answer:
5
Step-by-step explanation:
using Pythagorean theorem:
[tex]a^2+b^2=c^2[/tex]
a and b are sides
c is the hypotenuse
in this case we need a side:
[tex]a^2+12^2=13^2\\a^2 + 144 = 169\\[/tex]
subtract 144 from 169
[tex]a^2=25\\\sqrt{a} ^{2} = \sqrt{25}[/tex]
so a = 5
THE ANSWER IS 5 :)
2. Find the surface area of the solid:
3.1 ft
8 ft
6 ft
Can you show me how you got the answer pls
Answers
Question 1(Multiple Choice Worth 4 points) (02.05 LC) A surgeon performed two types of surgeries to treat large kidney stones and small kidney stones. Treatment A on large stones was successful 73% of the time, but on small stones it was successful 93% of the time. Treatment B was successful on large stones 69% of the time, but on small stones it was successful 87% of the time. The overall report stated treatment B was more successful. What may make this claim possible? Sampling error Cause-and-effect relationship Convenience error Confounding Simpson's Paradox
Answers
The correct option is Simpson's Paradox because the concept of the other options don't depict the paradox displayed in the question.
Simpson's paradox
it is simply a phenomenon in probability and statistics, whereby a trend appears in several different groups of data but will disappear or reverse when these groups are combined.
This result is often encountered in many areas of statistics and is very problematic especially when frequency data is given causal interpretations. The paradox can be resolved when causal relations are appropriately addressed in the statistical modeling.
It concluded that treatment B was more successful than treatment A without considering the conditions under which both treatments were carried out neither did it consider the severity of cases of patients involved in the treatment.
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Jus
t be. FOREVER
my fri
end
Answers
Answer:
thank u for points
stay safe happy and healthy..Answer:
okay sure lol
Step-by-step explanation:
Law of Sine.
Find the measure of the indicated angle. Need help please.
I need explanation too- thank you!
NO LINKS...I WILL REPORT YOU
Answers
Answer:
Bc=20
Step-by-step explanation:
Sin61=BC/AC=BC/23
BC=23sin61=20
rectangular prism: length 16 feet, width 12 feet, height 42 feet
Answers
52 > 43 + w
is it a solution?
7 yes or no
4 yes or no
13 yes or no
9 yes or no
answer with a yes or no for EACH one
HELP
Answers
Answer:
7 yes
4 yes
13 no
9 no
Step-by-step explanation:
For each one, just substitute the number in as w in the equation they gave you and then check if it is less than 52.
7 yes because 52 > 43 + 7.
4 yes because 52 > 43 + 4.
13 no because 52 < 43 + 13.
9 no because 52 = 43 + 9 and 52 isn't less than 52.
Answer:
yes
yes
no
no
Step-by-step explanation:
given that sin x = cos 2x find the value of x
Answers
Answer:
The most straightforward way to obtain the expression for cos(2x) is by using the "cosine of the sum" formula: cos(x + y) = cosx*cosy - sinx*siny. cos(2x) = cos² (x) - (1 - cos²(x)) = 2cos²(x) - 1. = 2cos²(x) - 1.
Step-by-step explanation: