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.
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Leila made $70 for 5 hours of work.
At the same rate, how much would she make for 8 hours of work?
Answer:
112$
Step-by-step explanation:
First, find out how much she makes per hour:
70$ in 5 hours. Divide 70 by 5.
70/5 = 14
If she makes 14$ per hour, the equation to find 8 hours is 14*8
14*8 = 112
HELP PLEASE! What is the slope of the line shown?
Answer:
A. -4/11
Step-by-step explanation:
Slope formula: [tex]\frac{y^2 - y^1}{x^2 - x^1 }[/tex]
Using the two points substitute the coordinates into this formula
6-2 = 4
4 - 7 = -11
Put 4 over -11 because it is the y value
[tex]-\frac{4}{11}[/tex]
slope of (-3,5) (3,6)
Answer:
The slope is [tex]\frac{1}{6}[/tex]
Step-by-step explanation:
Please help! The answer to this is 2 but I don't know how to actually solve it so can someone please show the work for this?
log₇49
Answer:
2
Step-by-step explanation:
basically logarithms are like reverse exponents
log7, 49 is basically asking 7 to the what gets you 49
because of that its 2 because 7^2 gets you 49
========================================================
Explanation:
Recall that any exponential equation of the form [tex]b^x = y[/tex] can be written into its equivalent log form of [tex]\log_{b}(y) = x[/tex]. Note how in both cases, 'b' is the base. For the exponential equation, x is buried in the exponent and y is free on its own. In the log equation, we have y buried in the log and x is free or isolated on its own.
In your case, we have b = 7 and y = 49. This means [tex]\log_{7}(49) = x[/tex] is the same as [tex]7^x = 49[/tex] when converting from log form to exponential form. Then we can rewrite that 49 into 7^2 to get [tex]7^x = 7^2[/tex]. The bases are both 7, so the exponents must be the same as well. Therefore, x = 2.
-------------------
We could follow a different approach. We could apply the change of base formula. The change of base formula is
[tex]\log_{b}(x) = \frac{\log(x)}{\log(b)}[/tex]
On the left side, we have log base b; however, on the right side, the log can be any base we want. Oftentimes it's handy to go with base 10, though again it doesn't matter the base on the right hand side logs.
So we would then say...
[tex]\log_{b}(x) = \frac{\log(x)}{\log(b)}\\\\\log_{7}(49) = \frac{\log(49)}{\log(7)}\\\\\log_{7}(49) = \frac{1.69019608002851}{0.84509804001426}\\\\\log_{7}(49) = 1.99999999999999\\\\[/tex]
Due to rounding error, we don't land exactly on 2 as expected. However, we get close enough.
What is the domain of this function?
y = 2x - 2
Answer:
The domain is (-∞,∞)
Step-by-step explanation:
Since there's no limit to this function, the values are infinity.
Pls help !!!!!!!!!!!!
Answer:
x = 100°
Step-by-step explanation:
15° + 65° + x = 180°
80° + x = 180°
x = 100°
A spinner is divided into 12 equal sections numbered 1-12. What is the probability of landing on a section with a number that is less than 5?
Answer:
4/12
Step-by-step explanation:
There is a 1 in 12 chance of any number being spun on the wheel. Because there are 4 numbers less than 5, there is a 4 in 12 chance of one of those numbers being spun.
Jeane earned $62.95 every week for babysitting. How much did she earn in 6 weeks?
Answer:
377.7
Step-by-step explanation:
because you multiply 62.95 times 6
hopes this helps
Answer:
$62.95*6= $377.7
because it say how much did she earn in six weeks. So your going to multiply $62.95 and 6 and you should get $377.7.
Brainliest please have a good day, yo girl trin
a board game cost d dollars. the sales tax rate is 8%. what two expressions can be used to calculate the total cost for the game, including tax?
Answer:
The equation for the amount of tax (8%) T on an item that costs P dollars is:
T=0.08P
Step-by-step explanation:
The exact circumference of a circle is 34π meters. What is the approximate area of the circle? Use 3.14 for π. Round to the nearest hundredth if necessary.
Answer:
A = 907.46 [tex]m^{2}[/tex]
Step-by-step explanation:
C = πd
34π = πd
d = 34
r = 17
A = [tex]\pi r^{2}[/tex] = 3.14([tex]17^{2}[/tex]) = 3.14(289) = 907.46 [tex]m^{2}[/tex]
Kelsha is putting money into a savings account. She starts with $750 in the savings account, and each week she adds $30. Let S represent the total amount of money in the savings account (in dollars), and let W represent the number of weeks Keisha has been adding money. Write an equation relating Sto W. Then use this equation to find the total amount of money in the savings account after 14 weeks.
Answer:
s=750+30W, after 14 weeks she has 1170$
Step-by-step explanation:
Answer:
750+30w=s 750+(30*14)=1,170
Step-by-step explanation:
i think this is it
I'm stuck and it's the last question
Answer:
the length of each edge is 6 inches
Step-by-step explanation:
sorry if wrong im not the best at math
Answer:
The edge length is 6 inches.
Step-by-step explanation:
s = cube side
s³ = 216
s = 6
6 × 6 × 6 = 216 in.³
Need help ASAP no fake links!!! Find the measure of angle C, and find the measure of Arc BC
Answer:
[tex]\huge \purple {\boxed { m\angle C = 47\degree}} [/tex]
[tex] \huge \red {\boxed { \widehat{BC}=96\degree}} [/tex]
Step-by-step explanation:
By inscribed angle theorem:
[tex] m\angle C = \frac{1}{2} m(\widehat{AD}) [/tex]
[tex] \therefore m\angle C = \frac{1}{2}\times 94\degree [/tex]
[tex]\huge \purple {\boxed {\therefore m\angle C = 47\degree}} [/tex]
Again by inscribed angle theorem:
[tex] m\angle A = \frac{1}{2} m(\widehat{BC}) [/tex]
[tex] \therefore 48\degree = \frac{1}{2} m(\widehat{BC}) [/tex]
[tex] \therefore 48\degree\times 2 = m(\widehat{BC}) [/tex]
[tex] \huge \red {\boxed {\therefore m(\widehat{BC}) =96\degree}} [/tex]
In ANOP, n = 800 inches, ZP=97º and ZN=32º. Find the length of o,
to the nearest inch.
Answer:
1173
Step-by-step explanation:
Solved on delta
During his NBA career, Larry Bird made approximately 89% of all free throws. Suppose Larry
makes 10 free throws in a row. Assuming each free throw is independent, what is the
probability he will make the next free throw?
(a) 0.11
(b) 0.50
(c) 0.01
(d) 0.89
Answer:
0.89
Step-by-step explanation:
The probability of Larry making the next free throw is, 0.89
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one
Now, we can assume that Larry Bird has a 89% chance of making any given free throw.
Since, each free throw is an independent event, the fact that he made 10 free throws in a row does not affect the probability of him making the next free throw.
Therefore, the probability of Larry making the next free throw is also 89%.
Thus, the probability of Larry making the next free throw is, 0.89
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Jessica is purchasing new photo frame for a photo. What measurement does Jessica need to know about the photo before she starts?
PLZ HELP!!!!!!! AND NO LINKS
Answer:
A
Step-by-step explanation:
Acids turn litmus paper red. The characters of acids are given by substance A. An acid tastes sour and also conducts electricity well because of ionization properties. Additionally, Hydrogen gas is produced from acid-base neutralizations because most if not all acids contain hydrogen.
Please help need it today due at 8
Answer:
slope=3
y intercept=4
Step-by-step explanation:
i did this using the equation y=mx+b m being slope and b being y intercept
The sun shines on a 40ft tall building at an angle of depression of 62 degrees. How long is the shadow formed?
A. 21.2ft
B. 75.2ft
C. 45.3ft
D. 85.2
DO IN 20 minutes help please!!!!A calculator was used to perform a linear regression on the values in the
table. The results are shown to the right of the table.
X
у
1
10
2
7
LinReg
y-ax+b
a-3.1
b-12.9
r2-.9886831276
-.9943254636
3
3
4
0
5
-2
What is the line of best fit?
A. y = 12.9x - 3,1
ООО
O B. y = -3.1x + 12.9
O C. -0.994 = -3.1X + 12.9
D. Y = -0.994x+12.9
Answer: The answer is b !
Image attached should help
The line of best fit is:
y = 3.1x + 12.9
Option A is the correct answer.
We have,
The line of best fit can be expressed in the form of y = ax + b,
where a is the slope of the line and b is the y-intercept.
From the given LinReg results, we have:
a = 3.1
b = 12.9
Substituting a and b in the equation y = ax + b we get,
The line of best fit is:
y = 3.1x + 12.9
Thus,
The line of best fit is:
y = 3.1x + 12.9
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The list below displays the number of different burgers sold at Joe's restaurant during
one shift.
.
Cheese: 10
Double Meat: 6
Triple Meat: 5
Jalapeno: 4
If this trend continues, how many cheese or jalapeno burgers did they sell if the total
burgers sold were 150?
F 72
G 84
H 96
100
In the app Kami, can the teacher see what time you edited the assginment. Like if i edit it at 3:00 pm, can they see what and how fast i typed?
Answer: I don't think so because they can only see it when you turn it in. Trust me I have kami too.
can any one help me i do not get it
Answer:
x=30
Step-by-step explanation:
The figure on the right has 12 in. on one side and 10 on the other and the figure on the left is 3 times the number that the figure on the left has. When you multiply 3 and 12 you get 36. From there on you can infer that you multiply 10 by 3. Your solution to x is 30.
Answer: 30
Step-by-step explanation:
36/3=12, 30/3=10
Choose the expression that represents a quadratic expression.
A.) 6x4 − 5x3 + 3x2 −7x − 8
B.) 5x3 + 3x2 −7x − 8
C.) 2x2 + 3x − 1
D.) 3x − 1
Answer:
C. 2x^2 + 3x - 1
is the answer
question on the picture:
I need help I'm confused!
Answer:
160 and 70
Step-by-step explanation:
What is the probability of rolling a 3 or 4 on a six sided die?
Answer:
2/6
Step-by-step explanation:
if you want to roll a 3 or a 4 and there are 6 possible outcomes then you have a 2 out of a six chance of rolling a 3 or 4
Find the area of a circle with a diameter of 4. How do you find they area of a circle?
Answer:
The number pie
Step-by-step explanation:
Find the area of a circle with a diameter of 4. How do you find they area of a circle?
To find the area of a circle use the formula [tex]\large\tt A=\pi r^2[/tex] or [tex] \large\tt A=\pi \times r \times r[/tex]
Where π = 3.14 correct to 2 decimal places, r = radius, and d = diameter. The radius is half of the diameter.
[tex]\tt A=\pi r^2[/tex][tex]\tt A=3.14\times 2^2[/tex][tex]\tt A =3.14\times 4[/tex][tex]\tt A={12.56units^2}[/tex]Therefore, the area of a circle is 12.56 sq. units
#CarryOnLearningFind the amount accumulated after investing a principal P for t years at an interest rate compounded k times per year. P = $3,500 r= 5% t = 10 k = 4
A = ?
Answer:
A = 5,752.60
Step-by-step explanation:
P = $3,500
r= 5%
t = 10
k = 4
A = P(1 + r/k)^kt
= 3,500(1 + 0.05/4)^4*10
= 3,500(1 + 0.0125)^40
= 3,500(1.0125)^40
= 3,500(1.6436)
= 5,752.6
A = 5,752.60
1. Jason bought tickets for him and his friends to
go to the movies. Tickets cost $9 each. He
also spent $15 on food. His total was $51. How
many tickets did he buy for the movie?
Answer:
he bought 4 tickets
Step-by-step explanation:
51-15=36
36÷9=4
Can I please have Brainliest?