Answer: the answer is
Step-by-step explanation:
Simplify the expression (4-5i)(2+6i)-(3-2i) show your work.
The simplification of the given expression [tex](4-5i)(2+6i)-(3-2i)[/tex], we get [tex]-30i^2+16i+5[/tex].
Given expression is:
[tex](4-5i)(2+6i)-(3-2i)[/tex]By applying the multiplication, we get
→ [tex](8-10i+24i-30i^2)-(3-2i)[/tex]
By multiplying the (-) sign into the bracket, we get
→ [tex]8-10i+24i-30i^2-3+2i[/tex]
→ [tex]5+16i-30i^2[/tex]
By arranging the terms, we get
→ [tex]-30i^2+16i+5[/tex]
Thus the answer above is right.
Learn more:
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STRUCTURE A quality control inspector at a bolt factory examines random bolts that come off the assembly line. All bolts being made must be a tolerance of 0.04 mm. The inspector is examining bolts that are to have a diameter of 6.5 mm.
From an absolute value inequality, we have that:
The minimum diameter is 6.46 mm.The maximum diameter is 6.54 mm.The absolute value measures the distance of a point or a function to the origin.One example of inequality is:[tex]|f(x)| \leq a[/tex]
Which has solution:
[tex]-a \leq f(x) \leq a[/tex]
In this problem:
Bolts with a diameter of 6.5 mm, with a tolerance of 0.04 mm, thus the absolute value of the difference of the diameter D and 6.5 has to be of at most 0.04, that is:[tex]|D - 6.5| \leq 0.04[/tex]
Applying the solution:
[tex]-0.04 \leq D - 6.5 \leq 0.04[/tex]
[tex]-0.04 \leq D - 6.5[/tex]
[tex]D - 6.5 \geq -0.04[/tex]
[tex]D \geq 6.46[/tex]
[tex]\leq D - 6.5 \leq 0.04[/tex]
[tex]D \leq 6.54[/tex]
The minimum diameter is 6.46 mm.The maximum diameter is 6.54 mm.A similar problem is given at https://brainly.com/question/24835634
Liz is shopping for a game system. Two competing stores offer deals on the system that she wants to purchase.
Where should Liz shop? Show all of your work and explain your reasoning.
Answer:
Liz should shop at the store with the item with a reasoning price in other words the one that costs less.
Step-by-step explanation:
You didn't give the stores prices but that would be what I would think.
which expression are equivalent to 4.53E-4 Select all that apply
Answer:
4.53
Step-by-step explanation:
hope you get it right
Here is a part 2 to my question
Answer:
1st is (D.) 2nd is (C.) 3rd is (D.) 4th is (A.) 5th is (C.)
You move right 3 units and up 4 units. You end at (5, 3). Where did you start?
Answer:
(2,-1)
Step-by-step explanation:
If you start at (2,-1) and go 3 units right, you land at (5,-1). Then, when you go up 4 units you land at (5,3)
what is the answer i need help
Answer:
[tex]f( - 1) = - 2[/tex]
Step-by-step explanation:
[tex]f(x) = - {x}^{2} + x \\ f( - 1) = - {( - 1)}^{2} + ( - 1) \\ = - (1) + ( - 1) \\ = - 1 - 1 \\ f( - 1)= - 2[/tex]
I hope I helped you^_^
A container has 2 ½ cups of juice in it.
Ping drinks ⅜ cup of juice.
Preston drinks 7/10 cup of juice.
How much juice is in the container now?
Answer: 57/40 or 1 17/40
Step-by-step explanation: 2 1/2 - 3/8 = 17/8 or 2 1/8
17/8 or 2 1/8 - 7/10 = 57/40 or 1 17/40
Slope intercept form
Answer:
y=-3x+1
Step-by-step explanation:
1) the slope-interception form is: y=slope*x+intercept;
2) if A(0;1) and B(2;-5) then it is possible to make up the equation of the required line:
[tex]\frac{x-X_A}{X_B-X_A} =\frac{y-Y_A}{Y_B-Y_A}; \ => \ \frac{x}{2}=\frac{y-1}{-6};[/tex]
3) the equation in the item 2 can be written in slope-interception form:
x=(y-1)/(-3); ⇔ y-1= -3x; ⇔ y= -3x+1.
P.S. note, the suggested way of solution is not the shortest one.
7069 divided by 328 in need the reminder
Answer:
21.5518292683
Step-by-step explanation:
7069 / 328 = 21.5518292683
8(11 - x) = 152
Solve for x
3,5,8,11,17-35odd,47,54,70,78,80,81 pls help
Answer:
54, 78, 70, 47, 80, 81,
Step-by-step explanation:
7. Write the statements "If you add 3 to one-third of a number, you get 30"
in the form of equations:
(a) x + 3 = 30
(D) x + 3 = 30
(C) x + 3 = 30
(d) none of these
Answer:
???? none- they're all the same and there's no 1/3
What is the GCF of 10890 and 15400?
Answer:
The Greates Common Factor (GCF) is: 2 x 5 x 11 = 110
10890: 2 335 111115400: 222 55711 GCF: 2 5 11
110 is the GCF of 10890 and 15400.
What are Factors?A number or algebraic expression that divides another number or expression evenly i.e., with no remainder.
GCF or Greatest Common factors is the set of numbers is the largest factor that all the numbers share.
Factors of 10890 = 1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,121,165....
Factors of 15400 = 1,2,4,5,7,8,10,11,14,20,22,25,28,35,40,44,50,55,56,70,77,88,100,110,140,154,175....
By observing the factors of both numbers 10890 and 15400.
110 is the greatest common factor of 10890 and 15400.
Therefore 110 is the GCF of 10890 and 15400.
To learn more on Factors click:
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help please and thank youu
Answer:
5
Step-by-step explanation:
f(x) just means y
find the spot on the line that hits y at 7.
then look directly down to the x line to see that the intersection is (5,7)
Is this pounds or Ounces?
lb:oz
Well... lb is pounds, and oz is ounces, so Maybe it's in both pounds and ounces? For instance, 2 pounds 3 ounces is equal to 35 ounces...
700000x800000000 what is equivalent to 6x+9+-6
Answer:
If you're trying to evaluate 6x + 9 + (-6), then the answer would be ↓
Step-by-step explanation:
6x + 3
Answer:
If you're trying to evaluate 6x + 9 + (-6), then the answer would be ↓
Step-by-step explanation:
6x + 3
Correct answer gets brainly!!
Answer:
Part A. the answer is 90
Part B. the answer is 145
Hope this helps :P
Step-by-step explanation:
5r-8=9r-12 answer this plsss
Answer:
R=1
Step-by-step explanation:
5
−
8
+
8
=
9
−
1
2
+
8
ask you teacher how to solve linear equation he or she could help with that
5. Rewrite the quadratic funtion from standard form to vertex form.
Ax) = 2x2 + 8x + 70
Answer:
[tex]y = 2 {(x + 2)}^{2} + 62[/tex]
Step-by-step explanation:
vertex form is
[tex]y = a {(x - h)}^{2} + k \\ where \: (h. \: k) \: is \: the \: vertex[/tex]
our original equation
[tex]2 {x}^{2} + 8x + 70[/tex]
first we will find the x value using the formula
[tex]x = - \frac{b}{2a} \\ - \frac{8}{2(2)} = - \frac{8}{4} = - 2 \\ x = - 2 = h[/tex]
plug the value of x back into the original equation to solve for y
[tex]y = 2 {x}^{2} + 8x + 70 \\ y = 2 ({ - 2}^{2} ) + 8( - 2) + 70 \\ y = 2(4) - 16 + 70 \\ y = 8 - 16 + 70 \\ y = 78 - 16 \\ y = 62 = k[/tex]
substitute this back into our vertex form and not forgetting the coefficient a = 2
[tex]y = 2 {(x - ( -2))}^{2} + 62 \\ y = 2 {(x + 2)}^{2} + 62[/tex]
Two parallel lines are cut by a transversal as shown below.
Suppose m<3=79. Find m<6 and m<8
Answer:
byebyebyebyebyebbyebyebye
(g + 4) – 3g = 1 + g
Answer:
4-2g=1+g
4-1=g+2g
3=3g
G=1
Step-by-step explanation:
a bag contains 13 triangles. I chose one at random. what is the probability that the sum of the angles measures of the one i chose to 180degrees
more heeelp 20 points
Answer:
c and d
Step-by-step explanation:
like saying you lost half but gained 3 quarters. you end up have 1/4 or 1 quarter left
make the mixed number an improper fraction
9/4*9/5 = 81/20
20 goes into 81, 4 times evenly with 1 left over
4 1/20
Write the equation of the line through
(0, 4) and (2, 0) in slope-intercept form.
Answer: y = -2x + 4
Step-by-step explanation: slope intercept form is "y=mx+b" where m is the slope and b is they y intercept. the y intercept is when x=0 and it's given to us in the question. the y intercept is (0,4). so y=4. we can plug that into the equation to now have y=mx + 4.
now we need to find the slope. we can do this by plugging the two points into the formula [tex]\frac{y2-y1}{x2-x1}[/tex]. so we'd have [tex]\frac{0-4}{2-0}[/tex] to get -4/2 which is -2. -2 is the slope.
so the final answer is y = -2x + 4
Please solve the math problem... I will mark you brainliest
Answer: the solution set is {19}
Step-by-step explanation:
AC = DF
6x+41=8x+3
-2x=-38
x = 16
find midpoint of (7,-3) and (15,-8)
Answer:
{0.5(7+15),0.5(-3-8)}
Step-by-step explanation:
(0.5(sum of x values),0.5(sum of y values))
WILL GIVE BRAINIEST What is the solution set to log(x+4) < log6 x
It is B.
the question is so tough
True or false how do you know?
Answer:
true
Step-by-step explanation:
figure B is figure A but 3 times the size.
what does ^ mean in math?
ex: If f(x) = 5 + 4x^2