1)Convert the following binary numbwers into decimal number(only a,b,c,f,i)
Answers
#1
(11)_2(1×2⁰+1×2¹)_10(1(1)+1(2))_10(1+2)_10(3)_10#b
(110)_2(0+1×2¹+1×2²)_10(2+4)_10(6)_10#c
(111)_2(1×2⁰+1×2¹+1×2²)_10(1+2+4)_10(7)_10#f
(10011)_2(1×2⁰+1×2¹+0+0+1×2⁴)_10(1+2+16)_10(19)_10#i
(10110101)_2(1×2⁰+0+1×2²+0+1×2⁴+1×2⁵+0+1×2⁷)_10(1+4+16+32+128)_10(181)_10Answer:
a) 3₁₀
b) 6₁₀
c) 7₁₀
f) 19₁₀
i) 181₁₀
Step-by-step explanation:
Binary to Decimal Conversion (Positional Notation Method)
Multiply each digit by the base (2) raised to the power dependent upon the position of that digit in the binary number. Sum all the values obtained for each digit.Express the number as a decimal number by placing subscript 10 after it.For a binary number with 'n' digits:
The right-most digit is multiplied by 2⁰The left-most digit is multiplied by [tex]\sf 2^{n-1}[/tex]For example, to convert the binary number 111001₂ into a decimal:
[tex]\begin{array}{ c c c c c c}1 & 1 & 1 & 0 & 0 & 1\\\downarrow & \downarrow & \downarrow & \downarrow & \downarrow & \downarrow \\2^5 & 2^4 & 2^3 & 2^2 & 2^1 & 2^0\\\end{array}[/tex]
Multiply each digit by the base (2) raised to the power as indicated above and sum them:
[tex]=(1 \times 2^5)+(1 \times 2^4)+(1 \times 2^3)+(0 \times 2^2)+(0 \times 2^1)+(1 \times 2^0)[/tex]
[tex]= 32+16+8+0+0+1[/tex]
[tex]= 57[/tex]
Finally, express as a decimal number ⇒ 111001₂ = 57₁₀
Question (a)
[tex]\begin{aligned}\implies 11_2 & = (1 \times 2^1)+(1 \times 2^0)\\& = 2+1\\& = 3\end{aligned}[/tex]
Therefore, 11₂ = 3₁₀
Question (b)
[tex]\begin{aligned}\implies 110_2 & = (1 \times 2^2)+(1 \times 2^1)+(0 \times 2^0)\\& = 4+2+0\\& = 6\end{aligned}[/tex]
Therefore, 110₂ = 6₁₀
Question (c)
[tex]\begin{aligned}\implies 111_2 & = (1 \times 2^2) +(1 \times 2^1)+(1 \times 2^0)\\& =4+2+1\\& = 7\end{aligned}[/tex]
Therefore, 111₂ = 7₁₀
Question (f)
[tex]\begin{aligned}\implies 10011_2 & =(1 \times 2^4)+(0 \times 2^3)+ (0 \times 2^2) +(1 \times 2^1)+(1 \times 2^0)\\& =16+0+0+2+1\\& = 19\end{aligned}[/tex]
Therefore, 10011₂ = 19₁₀
Question (i)
[tex]\phantom{)))}10110101_2 \\\\=(1 \times 2^7)+(0 \times 2^6)+(1 \times 2^5)+(1 \times 2^4)+(0 \times 2^3)+ (1 \times 2^2) +(0 \times 2^1)+(1 \times 2^0)\\\\=128+0+32+16+0+4+0+1\\\\= 181[/tex]
Therefore, 10110101₂ = 181₁₀
Related Questions
What is the scale factor for Triangle XYZ to Triangle UVW?
A. 1/2
B. 2
C. 1/4
D. 4
Answers
To get from one side to another, you multiply.
6x2=12
8x2=16
10x2=20
Identify the domain of the function shown in the graph
Answers
Using it's concept, the domain of the function shown in the graph is:
B. [tex]-6 \leq x \leq 6[/tex].
What is the domain of a function?The domain of a function is the set that contains all possible input values for the function. In a graph, the domain is the set that contains all values of x.
From this graph, the function is defined for values of x between -6 and 6, hence the domain is given by:
B. [tex]-6 \leq x \leq 6[/tex].
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Kady and Scott both invest £800.
Kady invests in an account that gives 15.2% compound interest per annum.
Scott invests in an account that gives 15.9% simple interest per annum.
After how many years is Kady's investment worth more than Scott's?
Answers
Answer:we smoking fredoooooooooo
Determine the unknown length or angle measurement. Round each answer to the nearest whole number
Answers
Answer:
Θ ≈ 37° , x ≈ 13 cm
Step-by-step explanation:
(a)
using the cosine ratio in the right triangle
cosΘ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{8}{10}[/tex] , then
Θ = [tex]cos^{-1}[/tex] ([tex]\frac{8}{10}[/tex] ) ≈ 37° ( to the nearest whole number )
(b)
using the sine ratio in the right triangle and the exact value
sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{15}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2x = 15[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
x = 7.5[tex]\sqrt{3}[/tex] ≈ 13 cm ( to the nearest whole number )
Solving equations with fractions- how do i solve this
Answers
Answer:
23/75
Step-by-step explanation:
8/15 + x = 21/25
x = 21/25 - 8/15
now we need to bring both fractions to the same denominator (bottom part), so that we can do the subtraction.
what is the least common multiple (LCM) of 25 and 15 ? that will be the common denominator.
I usually use the prime factor factorization of the involved numbers.
15 : 3, 5 (15 = 3×5, there are no smaller prime factors)
25 : 5, 5 (25 = 5×5, there are no smaller prime factors)
the LCM is the combination of the longest chains of each prime factor :
3×5×5 = 75
so, we bring both fractions to 75 denominators.
how many 1/75th are 1/25 ? as 25×3 = 75, we have 3/3 × 1/25 = 3/75 (= 1/25).
so,
21/25 = 21×3/75 = 63/75
how many 1/75th are 1/15 ? as 15×5 = 75, we have 5/5 × 1/15 = 5/75 (= 1/15).
so,
8/15 = 8×5/75 = 40/75
remember, we have to multiply the numerator and the denominator by the same value to keep the original value of the fraction unchanged.
and now our equation looks like
x = 63/75 - 40/75 = 23/75
Please help ASAP!! I need to turn this is right now!!!!
Paolo used the Quantitative Reasoning Process to build a budget while he is going to college. He worked hard over the summer and saved $3,314.85 to live on during the next two semesters of school. Paolo will receive a scholarship each semester for $926.65. If he plans to use up all of his savings while at school, how much money can Paolo spend each month, on average, for things like groceries, entertainment, and miscellaneous items?
Assume two semesters equals 8 months total. Also assume Paolo has no other expenses than what he has listed here.
Scholarship for each Semester: $926.65
Tuition & Books Cost per Semester: $1,800
Housing Cost for a two-semester Contract: $1,075
If he has money left, what is the average monthly amount Paolo can afford to spend each month?
If he has overspent, what is the average monthly amount Paolo would be in debt each month?
(Indicate this amount with a negative sign)
Answers
The computation shows that the average monthly amount is 61.64.
How to calculate the value?The amount that's left will be:
= 3314.85 + (2 × 926.65) - (1800 × 2) - 1075
= 3314.85 + 1853.3 - 3600 - 1075
= 493.15
The average monthly amount will be:
= 493.15/8
= $61.64
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The size of a computer monitor is usually given by the length of its diagonal. A monitor's aspect ratio is the ratio of its width to its height. This monitor has a diagonal length of 27 inches and an aspect ratio of 16:9. Using ratios and the Pythagorean Theorem the approximate width is 23.5 inches and the height is inches.
Answers
The length and width of the computer monitor is 23.36 inches
and 13.14 inches.
According to the given statement
we have given that
The length of diagonal of rectangular monitor = 27 inches
The length to width ratio is 16:9
So , Let the Length of monitor = 16x
and The Width of monitor = 9x
And we have to find the length and width of the computer monitor.
So, For this purpose,
From Pythagoras theorem
(Diagonal)² = Length² + width²
Put the values in it and then
27² = (16x)² + (9x)²
729 = 256x² + 81x²
After solving we get
337x² = 729
So, x² = 2.16
∴ x = = 1.46 inches
So, The length = 16x = 23.36 inches
And The width = 9x = 13.14 inches.
Hence, The length and width of the computer monitor is 23.36 inches
and 13.14 inches.
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Could y’all help me
Answers
Answer:
16. C
17. C
Step-by-step explanation:
16.
this is just a multiplication of the 2 functions.
that means we multiply the functional expressions, and the result is the new functional expression of the multiplied functions.
2(3x - 5) × (-2x + 1) = (6x - 10) × (-2x + 1) =
= 6x×-2x + 6x×1 + -10×-2x + -10×1 =
= -12x² + 6x + 20x - 10 = -12x² + 26x - 10
17.
the domain of a function is the interval or set of all valid x values (or input values).
the range is the interval or set of all valid y or functional result values.
so, for the domain we need to see what values x may have for a 4th root.
for this we can imagine that a 4th root is the square root of the square root of x.
this is directly related to x⁴ being the square of the square of x.
the valid input values for a square root are all positive numbers (incl. 0). the result will be again a positive number (incl. 0), which is again a valid input number for the second square root.
therefore, the valid values of x for a 4th root are also the valid values for a square root. and vice versa.
and that is
0 <= x < infinity
FYI : we can never say x = infinity, because infinity is not a number, just a generation concept. so, infinity can never be included in any interval, it can only be listed as an excluded limit concept.
Study the road plan shown in the figure. A service station will be built on the highway, and a road will connect it with Cray. How long will the new road be? A.54.2 mi B. 312 mi C. 46.2 mi D.400 mi
Answers
The length of the road that connects the service station with Cray is 46.2 mi.
How long will the new road be?
We need to apply the principle of similar triangles to obtain the length of the road that will connect the service station with Cray as shown in the image attached.
Hence;
The distance between Alba and Blare = 130 mi
The distance between Alba and Cray = 120 mi
Road connecting the service station with Cray =x
And;
120/130 = x/50
x = 46.2 mi
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Can someone help me out on these geometry questions? ASAP!!!
Write formal proofs the HL Theorm.
Answers
Question 2
1) [tex]\overline{PR} \perp\overline{QS}, \overline{PQ} \cong \overline{PS}[/tex] (given)
2) [tex]\overline{PR} \cong \overline{PR}[/tex] (reflexive property)
3) [tex]\angle PRQ, \angle PRS[/tex] are right angles (perpendicular lines form right angles)
4) [tex]\triangle PRQ, \triangle PRS[/tex] are right triangles (a triangle with a right angle is a right triangle)
5) [tex]\triangle PRQ \cong \triangle PRS[/tex] (HL)
Question 3
1) [tex]\angle C[/tex] is a right angle, [tex]\overline{AC} \cong \overline{AE}, \overline{DE} \perp \overline{AB}[/tex] (given)
2) [tex]\angle DEA[/tex] is a right angle (perpendicular lines form right angles)
3) [tex]\triangle ACD, \triangle DAE[/tex] are right triangles (a triangle with a right triangle is a right angle)
4) [tex]\overline{AD} \cong \overline{AD}[/tex] (reflexive property)
5) [tex]\triangle ACD \cong \triangle AED[/tex] (HL)
6) [tex]\angle CAD \cong \angle DAE[/tex] (CPCTC)
7) [tex]\overline{AD}[/tex] bisects [tex]\angle BAC[/tex] (if a segment splits an angle into two congruent parts, it is an angle bisector)
Which formula gives the zeros of y = sin(x)? k pi for any positive integer k k pi for any integer k StartFraction k pi Over 2 EndFraction for any positive integer k StartFraction k pi Over 2 EndFraction for any integer k
Answers
Answer:
y =sin(x)
Step-by-step explanation:
small brain
Answer:
B: k pi for any integer k
Step-by-step explanation:
I took the test
Scott counted 23 beats in 10 seconds. What is his approximate heart rate?
123 bpm
130 bpm
138 bpm
230 bpm
Anyone is here
Answers
Answer:
138
Step-by-step explanation:
There is 60 seconds in a minute, so if the heart beats 23 times in 10 seconds, it is 138 bpm.
23 * 6 = 138
One minute is 60 seconds so 23*6 is 138
A building meets the ground at a right angle. the top of a 10-foot ladder is placed against the bottom edge of a window in the building, and the base of the ladder is placed 6 feet from where the building meets the ground.
Answers
The bottom edge of the window is 8 inches above the ground, computed using the Pythagoras Theorem.
According to the Pythagoras Theorem, in a right triangle, the square of the hypotenuse, that is, the side opposite to the right angle is equal to the sum of the square of the legs, that is, the two other sides.
If in a right triangle, c is the hypotenuse, and a and b are the two legs, then by the Pythagoras Theorem, we can write:
a² + b² = c².
In the question, we are informed that a building meets the ground at a right angle. The top of a 10-foot ladder is placed against the bottom edge of a window in the building, and the base of the ladder is placed 6 feet from where the building meets the ground.
We are asked to draw a diagram that represents the situation and find the height of the bottom edge of the window from the ground.
We assume the building to be DB, meeting the ground BC at a right angle. At point C, the ladder meets the ground and meets the bottom edge of the window at point A.
The diagram is attached.
Now, we get a right triangle ABC, right-angled at B.
By Pythagoras' Theorem, we know that:
AB² + BC² = AC²,
or, AB² + 6² = 10²,
or, AB² = 10² - 6² sq. inches,
or, AB² = 100 - 36 sq. inches,
or, AB = √64 inches,
or, AB = 8 inches.
Thus, the bottom edge of the window is 8 inches above the ground, computed using the Pythagoras Theorem.
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The provided question is incomplete. The complete question is:
"A building meets the ground at a right angle. The top of a 10-foot ladder is placed against the bottom edge of a window in the building, and the base of the ladder is placed 6 feet from where the building meets the ground. Draw a diagram that represents this situation. How far up from the ground is the bottom edge of the window?"
What are the solutions of the equation6x^2-x-1=0
Answers
Answer:
1/2
1/3
Step-by-step explanation:
x=1/2
x=-1/3
Answer:
[tex]x_{1} =-\frac{1}{3} \\x_{2} =\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]6x^{2} -x-1=0[/tex]
Factoring the equation:
[tex](3x+1)(2x-1)=0[/tex]
Extract the roots:
First factor
[tex]3x+1=0\\3x=-1\\x_{1} =-\frac{1}{3}[/tex]
Second factor
[tex]2x-1=0\\2x=1\\x_{2} =\frac{1}{2}[/tex]
Hope this helps
Which equation is equivalent to: 3r = 78 + 14 ?
A. −3r =−78+14
B. 3r =78−14
C. 3r−14 =78
D. −3r =78−14
Answers
Answer:
Step-by-step explanation:
B is the answer
the base of an isosceles triangle is 4/3 cm . the perimeter of the triangle is 4 2/15 cm.
Answers
Answer:
[tex]\sf 1\dfrac{2}{5} \ cm[/tex]
Step-by-step explanation:
Isosceles triangle:If two sides of the triangle are equal, then the triangle is called isosceles triangle.
Let the two equal sides = x cm
Perimeter of the triangle = [tex]\sf 4\dfrac{2}{15}[/tex] cm
[tex]\sf x + x + \dfrac{4}{3}=4\dfrac{2}{15}\\\\[/tex]
[tex]\sf 2x +\dfrac{4}{3}=\dfrac{62}{15}[/tex]
[tex]\sf 2x = \dfrac{62}{15}-\dfrac{4}{3} \ [\text{\bf LCM of 15 , 3 = 15}]\\\\2x = \dfrac{62}{15}-\dfrac{4*5}{3*5}\\\\2x = \dfrac{62}{15}-\dfrac{20}{15}\\\\2x = \dfrac{42}{15} \ [\text{\bf Divide both sides by 2}]\\\\ x = \dfrac{42}{15*2}\\\\ x = \dfrac{7}{5}\\\\ x = 1\dfrac{2}{5}[/tex]
[tex]\sf \boxed{\text{Equal sides of isosceles triangle = $1\dfrac{2}{5}$ cm}}[/tex]
A freezer is shaped like a rectangular prism. It has a length of 8 feet and a height of 3 feet. The volume is 54 cubic feet. Find the width of the freezer.
Answers
Answer:
2.25 ft
Step-by-step explanation:
Volume = length x height x width
54= 8 x 3 x ?
Combine: 54= 24 x ?
Find ?: 54/24=2.25
Recheck: 24 x 2.25 = 54
Jerold's weekly pay rate is $865. He receives a 25% pay raise. How can Jerold calculate |
weekly pay rate? Select all that apply.
A
divide $865 by 0.25
B
divide $865 by 1.25
C
multiply $865 by 0.25
D
multiply $865 by 1.25
E
Solve for X:
X
125
865
100
F
Solve for x:
865
25
100
Answers
Which of the following is the solution to the differential equation dy over dx equals 2 times x times y all over quantity x squared plus 1 end quantity comma with the initial condition y(1)
Answers
The solution of the differential equation dy/dx=[tex]2xy/(x^{2} -1)[/tex] is y=[tex]-x^{2} +1[/tex].
Given a differential equation dy/dx=[tex]2xy/(x^{2} -1)[/tex].
We are required to find the solution of the differential equation when y(0)=1.
dy/dx=[tex]2xy/(x^{2} -1)[/tex]
Taking y to left side and dx to right side.
1/y dy=2x/[tex](x^{2} -1)[/tex] dx
Integrating both sides.
[tex]\int\limits {1/y} \, dy[/tex]=[tex]\int\limits {2x/(x^{2} -1)} \, dx[/tex]----------1
log y=[tex]\int\limits {2x/(x^{2} -1)} \, dx[/tex]
Solving right side.
[tex]\int\limits {2x/(x^{2} -1)} \, dx[/tex]
let [tex]x^{2} -1[/tex]=z
differentiating both sides with respect to x.
2x=dz/dx
2x dx=dz
Put 2x dx=dz in 1.
[tex]\int\limits {1/y} \, dy[/tex]=[tex]\int\limits {1/z } \, dz[/tex]
log y=log z+log c
Put z=[tex]x^{2} -1[/tex]
log y=log([tex]x^{2} -1[/tex])+log c
log y=log [{[tex]x^{2} -1[/tex])c]
y=([tex]x^{2} -1[/tex])c------------2
Put x=0 and y=1
1=(0-1)c
1=-c
c=-1
Put c=-1 in 2 to get the solution.
y=-1([tex]x^{2} -1[/tex])
y=[tex]-x^{2} +1[/tex]
Hence the solution of the differential equation dy/dx=[tex]2xy/(x^{2} -1)[/tex] is
y=[tex]-x^{2} +1[/tex].
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A fair coin is tossed three times and is tails each time. What is the probability that the next toss will be
heads
Answers
The probability that the next toss will be heads is 1/8.
What is probability?The likelihood of an event occurring is described by probability. We frequently have to make forecasts about the future in real life. We may or may not be aware of the outcome of an event. When this happens, we declare that there is a chance the event will take place.
Using the probability formula, one can determine the likelihood of an event by dividing the favorable number of possibilities by the total number of options. Since the favorable number of outcomes can never be greater than the entire number of outcomes, the probability of an event happening can range from 0 to 1.
Probability of getting two tails and next heads in three tosses is,
=1/2*1/2*1/2
=1/8
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pls help me..
look at the pic below!!
Answers
Answer:
y = 3(x - 2)² - 5==================
Given equationy = 3x² - 12x + 7Convert this to vertex formy = a(x - h)² + kFollow the stepsy = 3x² - 12x + 7 =
3(x² - 4x) + 7 = Factor out 3
3(x² - 4x + 4) - 3*4 + 7 = Complete the square
3(x - 2)² - 5 Simplify
Answer:
y = 3(x -2)² -5
Step-by-step explanation:
It looks like you want to write the standard-form quadratic ...
y = 3x² -12x +7
in vertex form.
The process is similar to that of "completing the square."
StepsFactor out the leading coefficient
Do this for the variable terms only.
y = 3(x² -4x) +7
Identify the x-term coefficient
The x-term coefficient (inside parentheses) divided by 2 is the opposite of the x-coordinate of the vertex. It is the constant term in the squared binomial of the vertex form. Square this value.
x coefficient: -4
binomial constant: -4/2 = -2
square of this: (-2)² = 4
Add this inside parentheses
To keep the overall equation unchanged, you must also subtract an equal amount outside parentheses.
y = 3(x² -4x +4) +7 -3(4)
Simplify to vertex form
Write the trinomial in parentheses as a square, and simplify the y-coordinate of the vertex.
y = 3(x -2)² -5
Please i really need help
for both qeutions
100 points
Answers
Answer:
7. a) slope = 5
7. b) slope = 1/2
8. slope = 1
Step-by-step explanation:
slope = rise/run
rise is the vertical change, run is the horizontal change
7. a)
Pick any two points on your line. (0,0) and (1,5) are easy to work with.
The vertical change between the two points is 5
The horizontal change between those points is 1
so slope = 5/1 = 5
7. b)
Again, you can use (0,0) as one of your points. The point (2,4) is good as the second.
slope = 4/2 = 1/2
8. We don't have a graph, but we are given two points to work with, (1,4) and (5,8). Use the formula given...
m = slope = (y2-y1) / (x2-x1)
= (8 - 4) / (5 - 1)
= 4/4
= 1
I hope that helped!
¿Cuál de los siguientes números NO es un decimal periódico?
A.
11
30
B.
11
400
C.
11
600
D.
111
90
Answers
El número decimal que no es un decimal periódico es dado por:
B. [tex]\frac{11}{400}[/tex].
¿Que es un número decimal periódico?Un decimal periódico es un número decimal en el que la misma secuencia de dígitos se repite indefinidamente.
La conversión de las fracciones para decimales són:
11/30 = 0.366666 -> Periódico.11/400 -> 0.0275 -> No es periódico.11/600 -> 0.018333333 -> Periódico, en razón de lá repetición de el 3.11/90 = 0.1222222 -> Periódico.Puede-se aprender más a cerca de números decimales periódicos en https://brainly.com/question/1192529
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Last-Minute Shopper #1 paid $102 for 3 gizmos and
6 thingamajigs. Last-Minute Shopper #2 paid $179
for 5 gizmos and 11 thingamajigs. Assume they both
shopped at the same store and bought the same
brands and model numbers, and then answer the
questions below.
a) How much did each gizmo cost?
b) How much did each thingamajig cost?
Answers
The cost of one gizmo is $18.
The cost of one thingamajigs is $9
What are the linear equations that represent the question?3g + 6t = 102 equation 1
5g + 11t = 179 equation 2
Where:
g = cost of one gizmo t = cost of one thingamajigs.What is the cost of one gizmo and thingamajigs?Multiply equation 1 by 5 and equation 2 by 3
15g + 30t = 510 equation 3
15g + 33t = 537 equation 4
Subtract equation 3 from equation 4
3t = 27
t = 27 / 3
t = $9
Substitute for t in equation 1
3g + 6(9) = 102
3g + 54 = 102
3g = 102 - 54
3g = 48
g = 48 / 3
g = $18
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An oblique cylinder has a radius of 10 units and slant length of 26 units. an oblique cylinder has a radius of 10 units and a slant length of 26 units. what is the volume of the cylinder?
Answers
Answer:
The volume of the cylinder is 2,400pi cubic units
Step-by-step explanation:
I hope this helps and have a good day!
[tex]x^{8}+x^{4}+1[/tex]
Answers
You did not provide directions. What do you want us to do with your 8th degree polynomial?
PLEAS EFHJFJFJF im stuck pls
Answers
Answer:
f(2) = 3
Step-by-step explanation:
Plug in 2 for x
Select the correct answer from each drop-down menu.
Graph of 2 polygons. Polygon 1 at A (minus 6, 6), B (minus 4, 6), C (minus 4, 4), D (minus 6, 2) in quadrant 2. Polygon 2, A prime (minus 6, minus 6), B prime (minus 6, minus 4), C prime (minus 4, minus 4), D prime (minus 2, minus 6) in quadrant 4.
Polygon ABCD goes through a sequence of rigid transformations to form polygon A′B′C′D′. The sequence of transformations involved is a reflection across the
, followed by a reflection across the line
.
Answers
The Polygon ABCD was reflected across the x axis, followed by a reflection across the line y = x to form polygon A'B'CD'.
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.
The Polygon ABCD was reflected across the x axis, followed by a reflection across the line y = x to form polygon A'B'CD'.
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Question 2 (Essay Worth 10 points)
(06.03 MC)
Use the expression 5(6 + 4x) to answer the following:
Part A: Describe the two factors in this expression. (4 points)
Part B: How many terms are in each factor of this expression? (4 points)
Part C: What is the coefficient of the variable term? (2 points) HELP NOWWWW PLSSSS
Answers
Part A
The two factors are 5 and 4x+6.
5 is a constant.4x+6 is a binomial.Part B
The first factor, 5, has 1 term.
The second factor, 4x+6, has 2 terms.
Part C
The coefficient of the variable term is 4.
A taxi charges $2.50 for the first mile and $0.40 for each mile after that. The expression below shows how to find the total cost, in dollars, of a 20-mile taxi ride. 2.50 0.40 (20 minus 1)
Answers
The expression which shows the total cost is 2.50+0.4x and the cost of riding 20 miles is $10.50.
Given a taxi charges $2.50 for the first mile and $0.40 for each mile
We are required to make an expression showing total cost and total cost of a 20 mile ride.
let the miles ride by tax be x.
Total cost of the product or service=Number of units*price of one units.
We have been given that $2.50 is fixed so we will not multiply our variable charge with $2.50 and multiply 0.40 with x.
So,the expression showing looks like 2.50+0.40x.
Now to find the cost when taxi travels 20 miles, we have to put x=20,
Cost=2.50+0.40*20
=2.50+(40*20)/100
=2.50+800/100
=2.50+8
=$10.50
Hence the expression which shows the total cost is 2.50+0.4x and the cost of riding 20 miles is $10.50.
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