Answers
Answer:
D. [tex] \frac{79}{6} [/tex]
Step-by-step explanation:
[tex] \bigg( \frac{7}{2} - \frac{1}{3} \bigg).( - 2)^{2} + \frac{1}{2} \\ \\ = \bigg( \frac{7 \times 3 - 1 \times 2}{2 \times 3} \bigg).4 + \frac{1}{2} \\ \\ = \bigg( \frac{21 - 2}{6} \bigg).4 + \frac{1}{2} \\ \\ = \frac{19}{6} \times 4 + \frac{1}{2} \\ \\ = \frac{19}{3} \times 2 + \frac{1}{2} \\ \\ = \frac{38}{3} + \frac{1}{2} \\ \\ = \frac{38 \times 2 + 1 \times 3}{3 \times 2} \\ \\ = \frac{76 + 3}{6} \\ \\ = \frac{79}{6} [/tex]
Related Questions
2
Type the correct answer in each box.
What are the values of x and y that make the equations true?
Equation A
(x + yi) + (4 – 7i) = 3 – 4i
Equation B (t + yi) - (-6 + 14i) = 18 + 2i
In equation A, I =
and y =
.
In equation B, 1 =
and y =
Reset
Next
Answers
Answer:
Equation A: x = -1 and y = 3
Equation B: x = 12 and y = 16
Step-by-step explanation:
In the complex numbers (a + bi) and (x + yi)
(a + bi) + (x + yi) = (a + x) + (b + y)i(a + bi) - (x + yi) = (a - x) + (b - y)iEquation A
∵ (x + yi) + (4 – 7i) = 3 – 4i
∴ (x + 4) + (y - 7)i = 3 - 4i
→ Compare the real parts and compare the imaginary parts
∴ x + 4 = 3 and y - 7 = -4
∵ x + 4 = 3
→ Subtract 4 from both sides
∴ x + 4 - 4 = 3 - 4
∴ x = -1
∵ y - 7 = -4
→ Add 7 to both sides
∴ y - 7 + 7 = -4 + 7
∴ y = 3
Equation B
∵ (x + yi) - (-6 + 14i) = 18 + 2i
∴ (x - -6) + (y - 14)i = 18 + 2i
→ (-)(-) = (+)
∴ (x + 6) + (y - 14)i = 18 + 2i
→ Compare the real parts and compare the imaginary parts
∴ x + 6 = 18 and y - 14 = 2
∵ x + 6 = 18
→ Subtract 6 from both sides
∴ x + 6 - 6 = 18 - 6
∴ x = 12
∵ y - 14 = 2
→ Add 14 to both sides
∴ y - 14 + 14 = 2 + 14
∴ y = 16
Answer: In equation A, -1 and 3 . In equation B, 12 and 16 .
picture below
Step-by-step explanation:
Find the value of f(5) for the function.
f(a)=7(a+3)-4
f(5)=
Answers
Answer:
f(5)=52
Step-by-step explanation:
f(a)=7(a+3)-4
f(5)=7(5+3)-4
f(5)=7(8)-4
f(5)=56-4
f(5)=52
How can you find the side length of the square of Kendra wants exactly 1,000 feet
Answers
2 2/3 divided by 4
help
Answers
Answer:
[tex]\frac {2} {3}[/tex] is the answer
Step-by-step explanation:
[tex]\frac {8} {3}[/tex]÷[tex]\frac {4} {1}[/tex] can be turned into [tex]\frac {8} {3}[/tex]·[tex]\frac {1} {4}[/tex] using the KCF method. now we solve:
8\4=2
[tex]\frac {2} {3}[/tex] is the answer
Rectangle ABCD is rotated 95° about point Q to create rectangle A'B'C'D'.
What is the area of rectangle A'B'C'D'?
Answers
Answer:
12
Step-by-step explanation:
Since both rectangles are of the same dimensions, simply multiply the width of the first box(2) and the length of the second box(6) together(2*6 = 12)
The area of rectangle before and after the 95° degrees rotation about point Q will be same.
What is the area of a Rectangle?
The area of a rectangle is the product of its length and width. Mathematically -
Area = length x width
Given is Rectangle ABCD is rotated 95° about point Q to create rectangle A'B'C'D'
The area of a rectangle depends on its length and width and not on its orientation. When a rectangle ABCD is rotated 95° about point Q to create rectangle A'B'C'D', in such case there will be no change in the dimensions of a rectangle. Therefore, the area of rectangle will remain same, irrespective of its orientation in plane.
Therefore, the area of rectangle before and after the 95° degrees rotation about point Q will be same.
To solve more questions on orientation of shapes, visit the link below-
https://brainly.com/question/20910518
#SPJ5
27 = -4x + 11
I need it done ASAP
Answers
27=-4x+11
27-11= 16
16/-4= -4
x=-4
[tex]\text {Hello! Let's Solve this Equation!}[/tex]
[tex]\text {\underline {The First Step is to Flip the Equation}}[/tex]
[tex]\text {Before: 27=-4x+11}\\\text {After: -4x+11=27}[/tex]
[tex]\text {\underline {The Next Step is to Subtract 11}}[/tex]
[tex]\text {-4x+11-11=27-11}[/tex]
[tex]\text {Your New Problem Is: -4x=16}[/tex]
[tex]\text {\underline {The Final Step Is to Divide -4}}[/tex]
[tex]\text {-4x/-4=16/-4}[/tex]
[tex]\text {Your Answer Would Be:}[/tex]
[tex]\fbox {x=-4}[/tex]
[tex]\text {Best of Luck!}[/tex]
Find the total earnings based on the given information.
Base: $22,000, Total Sales: $99,000, Commission: 3%
Enter the correct answer in the box.
Answers
Answer:
$24,970
Step-by-step explanation:
22,000+(99,000•0.03)=22,000+2,970=24,970
Find the sum to infinity of the infinite G.P.
1-½+¼........
Answers
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
The sum to infinity of a GP is
[tex]S_{infinity}[/tex] = [tex]\frac{a}{1-r}[/tex] ; | r | < 1
where a is the first term and r the common ratio
Here a = 1 and r = - [tex]\frac{1}{2}[/tex] ÷ 1 = - [tex]\frac{1}{2}[/tex] , thus
[tex]S_{infinity}[/tex] = [tex]\frac{1}{1-(-\frac{1}{2}) }[/tex] = [tex]\frac{1}{1+\frac{1}{2} }[/tex] = [tex]\frac{1}{\frac{3}{2} }[/tex] = [tex]\frac{2}{3}[/tex]
Answer:
2/3
Step-by-step explanation:
1-1/2+1/4.....
[tex]r=\frac{\frac{-1}{2} }{1} =-\frac{1}{2} \\if~|r|<1,then~s_{\infty}=\frac{a}{1-r} ,a=first~term.\\s_{\infty}=\frac{1}{1-(\frac{-1}{2}) } =\frac{1}{1+\frac{1}{2} } =\frac{1}{\frac{3}{2} } =\frac{2}{3}[/tex]
2
Which expression is equivalent to 7a^3(6a^2+a)^2-4a^6?
Answers
Answer:
A
Step-by-step explanation:
Lamar ordered some books online for 6$ each. He paid a total of 3$ for shipping. The total cost of the purchase was 75$ . How many books did he buy?
Answers
Answer:
He bought 12 books.
Step-by-step explanation:
Here is your equation: 6 b+3=75
Step 1- Subtract 3 from both sides: 6 b+3-3=75-3
6 b=72
Step 2- Divide by 6: 6 b/6=72/6
b = 12 books in total.
The equation of line q is 5y - 4x = 10. Write an equation of the line that is perpendicular to q and passes through the point (-15, 8)
Answers
Answer:
y = -5/4x - 10.75
Step-by-step explanation:
First, put the equation in slope intercept form by isolating y:
5y - 4x = 10
5y = 4x + 10
y = 4/5x + 2
Perpendicular lines have opposite reciprocal slopes, so the slope will be -5/4
Plug in the slope and the given point into y = mx + b to find b:
y = mx + b
8 = -5/4(-15) + b
8 = 18.75 + b
-10.75 = b
Plug in the slope and y intercept into y = mx + b
y = mx + b
y = -5/4x - 10.75
Answer:
5x + 4y + 43 = 0
Explanation:
y=mx+b
m=slope
b=y intercept
perpendicuar lines have slopes that multiply to get -1
so
solving for y
add 4x both sides and divide by 5 to get
y=4/5x+2
slope is 4/5
perpendicular means the slopes multiply to get -1
so
4/5 times what=-1?
what=-5/4
so
y=(-5/4)x+b
find b
given the point (-15,8)
8=(-5/4)(-15)+b
8=75/4+b
-43/4=b
y=(-5/4)x-43/4
convert to standard form:
5x + 4y + 43 = 0
Graph the line that passes through the points (-2,2) and (-4,2) and determine the equation of the line
Answers
[tex]y = 2[/tex]. That's your equation.
The graph is the attachment.
Combine like terms and write an equivalent expression with fewer terms. 4x + 3x Group of answer choices
7x2
7x
12x2
12x
Answers
Answer:
7x
Step-by-step explanations:
4x + 3x
7x
inverse of f(x)=3/2x +6
Answers
Answer:
f(x) = (x - 6)/(3/2)
Step-by-step explanation:
PLEASE HELP MEEEEEEEEEEEEE
The following is an incomplete paragraph proving that ∠WRS ≅ ∠VQT, given the information in the figure where segment UV is parallel to segment WZ:
Segments UV and WZ are parallel segments that intersect with line ST at points Q and R, respectively.
According to the given information, segment UV is parallel to segment WZ, while angles SQU and VQT are vertical angles. Angle VQT is congruent to angle SQU by the Vertical Angles Theorem. Because angles SQU and WRS are corresponding angles, they are congruent according to the Corresponding Angles Theorem. Finally, angle VQT is congruent to angle WRS by the ________ Property.
Which property of equality accurately completes the proof?
А Reflexive
B Substitution
C Subtraction
D Transitive
Answers
Answer:
The correct answer is Transitive
Write an equation in slope-intercept form for the line that passes through (4, 7) and is perpendicular to the y-axis.
Is the answer y=2x+3 ??
Answers
Answer:
y = -1/2x + 9
Step-by-step explanation:
y - 7 = -1/2(x - 4)
y - 7 = -1/2x + 2
y = -1/2x + 2 + 7
y = -1/2x + 9
if k = -3 what is the value of k + (2k - 10) ?
A. –19
B. –7
C. 1
D. –14
Answers
Answer:
A
Step-by-step explanation:
We have the expression [tex]k+(2k-10)[/tex]
We want to find the value when k is -3. So, substitute -3 for k and evaluate:
[tex]\Rightarrow (-3)+(2(-3)-10)[/tex]
Multiply:
[tex]=-3+(-6-10)[/tex]
Subtract:
[tex]=-3+(-16)[/tex]
Add:
[tex]=-19[/tex]
Therefore, our answer is A.
Square root 2-x =x-2
Answers
Answer:
The square root of 2-x+x-2 is the square root of x (2-x)
Step-by-step explanation:
HI PLEASE HELP AH - ill mark brainliest !
if you flip three coins, the probability of getting three heads is 1/8. Interpret this probability.
Answers
(Also you can use the formula for that.
The interpretation of the probability is there is a 12.5% chance of obtaining three heads when three coins are flipped
The probability is given as:
[tex]\mathbf{Pr = \frac 18}[/tex]
The above represents the probability of flipping a head three times.
Express as decimal
[tex]\mathbf{Pr = 0.125}[/tex]
Express as percentage
[tex]\mathbf{Pr = 12.5\%}[/tex]
This means that, there is a 12.5% chance of obtaining three heads when three coins are flipped
Read more about probability at:
https://brainly.com/question/11234923
what is the answer for 2 (a-b)-(b-a)
Answers
Answer:
3a - 3b
Step-by-step explanation:
Given
2(a - b) - (b - a)
Distribute the first parenthesis by 2 and the second by - 1
= 2a - 2b - b + a ← collect like terms
= 3a - 3b
Answer:
[tex]3a-3b[/tex]
Step-by-step explanation:
[tex]2(a-b)-(b-a)=2(a-b)-b+a=2a-2b-b+a=3a-3b[/tex]
Use the described technique to solve the equation describing the following problem:
A city taxi driver charges $2 per kilometer and has a starting fee of $9. An Uber driver charges $5 per kilometer, but has no starting fee. At which distance (in kilometers) will the price of taking an Uber be equal to the price of taking a city taxi?
Answers
Taxi Driver: 9+2x=
Uber Driver: 5x=
So we just gotta keep multiplying until we find where they’re equal. So let’s assume that when we can get the Taxi Drivers price to have a 5 in the tens place or a 0 in the tens place. By the looks of it, they will meet at 15$ for that to happen let x=3, which would make the taxi driver’s equation 9+2(3), 9+6=15$, and the uber driver’s equation would be 5(3)=15$. X=3 or X=distance in kilometers.
HELP. GET YA MONEY HERE.
Answers
Answer:
so the dude above me can get brainliest :)
Step-by-step explanation:
x=8 5x3-7+x
find the quotient
Answers
Answer: yes
Step-by-step explanation:
help me please I need an answer now, please
Answers
Answer:
can you re-upload the picture its blurry
Step-by-step explanation:
What is the slope of the line that passes through the points (-8, -6) and (-18, 6) ? Write your answer in simplest form.
Answers
Answer:
y=12/10-15.6
Step-by-step explanation:
The slope of the line is [tex]-\frac{6}{5}[/tex].
To understand more, check below explanation.
Slope of line:The slope of line passing through [tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex] is computed as,
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Given that , points are (-8, -6) and (-18, 6)
So that,
[tex]Slope=\frac{6-(-6)}{-18-(-8)}\\ \\Slope=\frac{12}{-10}\\ \\Slope=-\frac{6}{5}[/tex]
Hence, the slope of the line is [tex]-\frac{6}{5}[/tex].
Learn more about the slope of line here:
https://brainly.com/question/3493733
PLEASE HELP YALL
simplify the expression:
-3 (4u -9)
Answers
Answer: (-12u+27)
Step-by-step explanation: I distributed the negative 3
is 10227 a rational number?
Answers
Answer:
Yes, 10227 is a rational number
Step-by-step explanation:
10227 is whole number, an integer, a counting number. For a number to be rational it has to be a integer, a counting number, a whole number, a fraction, and a terminating decimal. A decimal that repeats like 3.3333 is also rational because it can be predicted. Pi or 3.14 is not predictable
♦HURRY PLEASE!!! ♦
↓
Don't worry about the answer choice that is highlighted : )
Answers
Answer:
It's 3
Step-by-step explanation:
Bc it's placed before and it's multiplying the variable in the algebraic expression
Anne plans to increase the prices of all the items in her store by 5%. To the nearest cent, how much will
an artist save if the artist buys a canvas and a frame that each measure 24 by 36 inches before the
price increase goes into effect
Answers
Answer:
Step-by-step explanation:
We don't know the first price?
Simplify the expression
Answers
Answer:
33
Step-by-step explanation:
You have to do the problem in the brackets and then multiply by 3
Answer:
33
Step-by-step explanation:
{(3+5)x2-5}x3
{8x2-5}x3
{16-5}x3
{11}x3
33