The multiplication of the expressions 2i and (4 – 5i) is 10 + 8i. Then the correct option is D.
What is multiplication?It is also known as the product. If the object n is given to m times then we just simply multiply them.
The expressions are 2i and (4 – 5i).
Then the product of the expression will be given as
2i (4 – 5i)
8i – 10i²
And we know that i² = -1
Then we have
8i – 10 (–1)
10 + 8i
More about the multiplication link is given below.
https://brainly.com/question/19943359
A GIC pays 6% per annum. How long would it take $3000
to grow to $6000? (3 marks)
Answer:
180 weeks you have to convert the percentage to a decimal and multiple it to 3000
helloooo can someone help meeeeeeeee
Answer:
Option B, [tex](48x^{8}y^{5})[/tex]
Step-by-step explanation:
Step 1: Simplify the exponent
[tex](12x^{2}y^{3})(2x^{3}y)^{2}[/tex]
[tex](12x^{2}y^{3})(2^{2}x^{3*2}y^{1*2})[/tex]
[tex](12x^{2}y^{3})(4x^{6}y^{2})[/tex]
Step 2: Simply the expression
[tex](12x^{2}y^{3}*4x^{6}y^{2})[/tex]
[tex](48x^{2+6}y^{3+2})[/tex]
[tex](48x^{8}y^{5})[/tex]
Answer: Option B, [tex](48x^{8}y^{5})[/tex]
What is the value of z?
61°
310
to
25°
Lo
O
zº
N
Answer:
C 31
Step-by-step explanation:
The value of the z-score tells you how many standard deviations you are away from the mean. If a z-score is equal to 0, it is on the mean. A positive z-score indicates the raw score is higher than the mean average. For example, if a z-score is equal to +1, it is 1 standard deviation above the mean.
You want to take a trip to the beach, which costs $450. You
have $900 in your bank account but must withdraw $60
each week to pay for groceries. What is the maximum
number of weeks you can withdraw money and still have
enough to take your trip to the beach?
I need the inequality, inequality answer, final answer
Answer:
900 - 60n ≥ 450
n ≤ 7.5
Answer: 7 weeks
Step-by-step explanation:
Let n = numberof weeks.
In n weeks, you withdraw 60n from the account.
After withdrawing $60 for n weeks, teh amount must be at least $450. At least $450 means greater than or equal to $450.
900 - 60n ≥ 450
-60n ≥ -450
n ≤ 7.5
Answer: 7 weeks
PLS HELP PLS I WILL GIVE BRAINLIST
Which punctuation mark goes in the space?
My sister stole a bunch of my things ______ my pants, shoes, and jackets.
Group of answer choices
None
Comma ,
Dash -
Colon :
Semi-Colon ;
Period.
Which punctuation mark goes in the space?
My sister stole a bunch of my things ______ except my favorite blanket.
Group of answer choices
None
Comma ,
Dash -
Colon :
Semi-Colon ;
Period.
Which punctuation mark goes in the space?
My sister stole a bunch of my things ______ because she's rude to me.
Group of answer choices
None
Comma ,
Dash -
Colon :
Semicolon ;
Which punctuation mark goes in the space?
My sister ____ who is rude to me, stole a bunch of my things.
Group of answer choices
None
Comma ,
Dash -
Colon :
Semicolon ;
Which punctuation mark goes in the space?
My sister stole my favorite thing ______ my jacket.
Group of answer choices
None
Comma ,
Dash -
Colon :
Semicolon ;
Period.
Which punctuation mark goes in the space?
If my sister steals one more of my things ______ I'm going to never talk to her again.
Group of answer choices
None
Comma ,
Dash -
Colon :
Semicolon ;
Which punctuation mark goes in the space?
I'm going to tell my dad ______ my mom - if my sister steals more of my things.
Group of answer choices
None
Comma ,
Dash -
Colon :
Semicolon
Which punctuation mark goes in the space?
My sister stole a bunch of my things ______ I'm going to tell my dad.
Group of answer choices
None
Comma ,
Dash -
Colon :
Period.
Which punctuation mark goes in the space?
My sister stole a bunch of my things ______ my dad will punish her for me.
Group of answer choices
None
Comma ,
Dash -
Colon :
Semicolon ;
Which punctuation mark goes in the space?
My sister stole a bunch of my things like ______ my pants, shoes, and jackets.
Group of answer choices
None
Comma ,
Dash -
Colon :
Semicolon ;
Answer:
1.colon
2. semicoln
3. comma
4. none
5. dash
6. comma
7. i am not sure but i think is a colon
8.comma
9. semicoln
10. dash
Step-by-step explanation:
You use colon when listing out something.
Sorry, I am not sure about this answer
A penquin dives at 18 feet per minute how many minutes does it take to
dive to -54 feet?
3 Minutes
30 Seconds
5 Minutes
4 Minutes
Answer:
The answer would be (D) 4 minutes.
Step-by-step explanation:
18 x 4= 54
I have had this question before have an amazing day!!!!
I don't know what to do with this help I think it's right but
Answer:
Nice handwriting!
Step-by-step explanation:
I have no idea im only in 8th grade.
is 1/2 x + 6 > 11 equal to x=-3
Answer:
Rewrite the whole as an equivalent fraction 2.1 Subtracting a whole from a fraction. Rewrite the whole as a fraction using 2 as the denominator.
Which solution can be simplified to determine when the object will hit the ground? t = t = t = t =
The solution can be simplified to determine when the object will hit the ground is; h(t) = -9.8t² + 20t + 60
What is projectile motion?Projectile motion is the motion of an object thrown or projected into the air, subject to only the acceleration of gravity. The object is called a projectile, and its path is called its trajectory
Projectile motion
We are told that the projectile motion of an object can be modeled using;
h(t) = gt² + v0*t + h0
Where;
g is the acceleration due to gravity
t is the time since launch
h(t) is the height of the projectile after time t
v0 is the initial velocity
h0 is the initial height.
Now, we are given;
The acceleration due to gravity; g = –9.8 m/s²
Initial velocity; v0 = 20 m/s
Initial height; h0 = 60 m
Hence solution can be simplified to determine when the object will hit the ground is; h(t) = -9.8t² + 20t + 60 h(t) = -9.8t² + 20t + 60
Read more on projectile aat; brainly.com/question/14899130
Answer:
it's c on edge :] have a nice day
Phoebe is concerned that it the error is not fixed, her pay increase wll be less in future
years than it is supposed to be. If Phoebe continues
to work al the company and receives.
an increase of $0.75 per hour instead of a 5% increase. what will be the difference in her
hourly pay in 5 years? Show vour work.
The difference in the pay rate of Phoebe in 5 years will be $11850
How to calculate the pay?Your information is incomplete. Therefore, an overview will be given. Let's assume that the pay rate is $20000. When there is a 5% increase, the new pay rate will be:
= $20000 + (5% × $20000)
= $20000 + $1000
= $21000
When there is $0.75 increase per hour, the new pay rate on 5 years will be:
= (0.75 × 43800)
= $32850
The difference will be:
= $32850 - $21000
= $11850
Learn more about pay on:
https://brainly.com/question/13592880
#SPJ1
Many weather conditions need to be met before a space shuttle can launch. The temperature must be greater than 35°F and less than 100°F, and the wind speed cannot exceed 30 knots. A system of inequalities can be used to show these three conditions. Write a system for the above constraints.
Answer:
Launch may not occur if the temperature is 35° F or colder.
would be your answer.
Step-by-step explanation:
The temperature cannot exceed 99° F for 30 consecutive minutes. Peak wind speed is 30 knots. When the wind direction is between 100 degrees and 260 degrees, the maximum wind speed may be as low as 24 knots.
-121-1,649°C.
A certain number is subtracted from 20.the result multiplied by 3 is equal to 45. What is the number?
What is the standard deviation of the data? 0.5 1.5 2.0 2.5
Answer:
0.74
Step-by-step explanation:
The standard deviation of a data set is the sqaure root of the variance, so first we must find the variance. The equation for variance is:
σ² = [tex]\frac{{(x_{1}-[x bar] )}^{2}+...+{(x_{n}-[x bar]) }^{2}}{n}[/tex]
x = number in the data set
xbar = median of the data set
n = number of terms
Plugging in the given values, the equation for the variance of this number set is:
σ² = [tex]\frac{(0.5 - 1.625)^{2} + (1.5 - 1.625)^{2}+ (2.0 - 1.625)^{2}+(2.5 - 1.625)^{2} }{4}[/tex]
Solving:
= [tex]\frac{1.265625+0.015625+0.140625+0.765625}{4}[/tex]
= [tex]\frac{2.1875}{4}[/tex]
σ² = 0.546875
Since the standard devianation is the sqaure root of the variance, we'll sqaure 0.546875:
[tex]\sqrt{0.546875}[/tex]
= 0.73950997288745
= 0.74 (rounded)
hope this helps!
Answer:
0.5
Step-by-step explanation
Because it is a standar deviation
What is the gcf of 36 and 90
Pls help! This is due soon!
Answer:
A. 30°, 70° and 80°
B. 10cm
Step-by-step explanation:
A. the two triangle have same angles
so the angles of triangle 2 are 30°, 70° and 80°
B. the perimeter of triangle, is twice as long as the perimeter of
triangle 2
so the perimeter of triangle 2 is 20÷2 = 10 cm
pls help me with this!
Answer:
0.69
Step-by-step explanation:
In a right triangle, the cosine of one of the acute angles is the ratio of the adjacent ("next to") side to the hypotenuse.
In this triangle, the side adjacent to angle T has length [tex]\sqrt{38}[/tex]. Now you need the length of the hypotenuse, ST. Use the Pythagorean Theorem:
[tex]ST^2=(\sqrt{38})^2+(\sqrt{41})^2 \\\\ST^2=38+41\\\\ST=\sqrt{79}[/tex]
Build the ratio (adjacent) / (hypotenuse) and approximate it with a decimal.
[tex]\cos{T}=\frac{\sqrt{38}}{\sqrt{79}} \approx 0.69[/tex]
[tex]{\large{\red{\mapsto{\maltese{\underline{\green{\boxed{\blue{\underbrace{\overbrace{\pink{\pmb{\bf{Answer:}}}}}}}}}}}}}}[/tex]
To find :-
Cos T = ?
Given :-
Perpendicular(P) = RS = √41
Base(B) = RT = √38
Formula to be used :-
We will use here a trignometry formula to find hypotenuse (H) which is ST.
(hypotenuse)² = (perpendicular)² + (base)²
[tex] \cos(A) = \frac{base}{hypotenuse} [/tex]
Solution:-
H² = P² + B²
H² = (√41)² + (√38)²
H² = 41 + 38
H² = 79
H = √79
[tex] \cos(T) = \frac{B}{H} \\ \cos(T) = \frac{ \sqrt{38} }{ \sqrt{79} } \\ \cos(T) = \frac{6.17}{8.89} \\ \cos(T) = 0.69[/tex]
Result :-
The value of cos(T) is 0.69.
9) 78% of what is 159 tons?
Answer:
78:159*100 =
(78*100):159 =
7800:159 = 49.06
Find the length of the third side. If necessary, round to the nearest tenth.
24
ко
Answer: 26
Step-by-step explanation: The third length is the hypotenuse or the longest side
Leroy's total job benefits were $50,150 last year. his total job expenses for traveling and for professional development for the year were $3,500. which of the following represents his total employment compensation? a. $46,650 b. $47,650 c. $50,150 d. $53,650
An expression has numbers, variables, and mathematical operations. The representation of Leroy's total employment compensation is $46,650.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
As it is given that Leroy's total job benefits were $50,150. while his total job expenses for traveling and for professional development for the year were $3,500. As the total employment compensation is the amount that is the difference between job benefits and job expenses. Therefore,
[tex]\rm Total\ employment\ compensation= Job\ benefits + Job\ expenses[/tex]
[tex]= \$50,150 - \$3,500\\\\= \$46,650[/tex]
Hence, the representation of Leroy's total employment compensation is $46,650.
Learn more about Expression:
https://brainly.com/question/13947055
Answer:
the representation of Leroy's total employment compensation is $46,650.
Step-by-step explanation:
help on this assignment i get confused on this
Answer:
See below:
Step-by-step explanation:
Y intercept is 'short' for y-AXIS intercept...
the line intercepts the y axis at d = 7 blocks
the slope = change in y / change in x
- 5 / 1 = - 5 (using the points on the graph)
An airline gathers data on late departures and early arrivals over a month. it finds that the probability of a late departure is 12 percent, the probability of an early arrival is 27 percent, and the probability of both a late departure and an early arrival is 4 percent. which equation shows how to correctly calculate the probability of a late departure or an early arrival? p(late departure or early arrival) = 0.12 0.04 p(late departure or early arrival) = 0.12 0.27 p(late departure or early arrival) = 0.12 0.27 – 0.04 p(late departure or early arrival) = 0.27 0.04 – 0.12
The probability of a late departure or an early arrival P(late departure or early arrival) = 0.12 + 0.27 – 0.04
What is probability?
The probability is defined as the chances of occurence of any event from the sample.
Given: The probability of a late departure is 12 %t, the probability of early arrival is 27%.
i.e. P(late departure)=0.12
P(an early arrival)=0.27
The probability of both a late departure and an early arrival is 4 percent.
P(late departure and early arrival) =0.04
Now, using the formula the probability of the union of two dependent events A and B:-
[tex]\rm P(AUB)=P(A)+P(B)-P(A \cap B)[/tex]
i.e. P(late departure or early arrival) = P(late departure)+P(an early arrival)-P(late departure and early arrival)
=0.12+0.27-0.0.04
Hence, the required equation : P(late departure or early arrival) = 0.12 + 0.27 – 0.04
To know more about probability follow
https://brainly.com/question/24756209
The equation that shows how to correctly calculate the probability of a late departure or an early arrival is P(L∪E)=0.12+0.27-0.04.
Probability of late departure P(L) = 0.12
Probability of early arrival P(E) = 0.27
Probability of both a late departure and an early arrival P(L∩E)= 0.04
What is probability?Probability is the measurement of the likelihood of an event.
P(L∪E)=P(L)+P(E)- P(L∩E)
Where P(L∪E) is the probability of a late departure or an early arrival.
So, P(L∪E)=0.12+0.27-0.04
Hence, the equation that shows how to correctly calculate the probability of a late departure or an early arrival is P(L∪E)=0.12+0.27-0.04.
To get more about probability visit:
https://brainly.com/question/24756209
Please help me anyone?
Answer:
1/26
Step-by-step explanation:
There are 52 cards....four are 9's 4/52
six possible rolls three are even 3/6
4/52 * 3/6 = 1/26
Can someone please help me really quick I need help
Check the picture below.
Suppose for some value of x the solution to the equation 2.5(y−x)=0 is y = 6. What must be true about x?
HELPPPPPPPPPP
The value of the expression inside the parentheses must be equal to
Step-by-step explanation:
In this case, you input the value of y (y = 6) into the equation ( 2.5(y-x)= 0)
2.5(6-x) = 0
Open the bracket,
(2.5×6)-2.5x= 0
Collect like terms.
2.5x= 2.5×6
Divide both sides by the coefficient of x (2.5)
x = 6
So,
x= 6 is true.
.
Substituting 6 for x in the equation,
2.5(6-6)= 0
2.5•0 = 0
0= 0
Which is also true.
What is the Volume of the square pyramid? (Round to the nearest tenth as needed)
Answer:
5229 mm³
Step-by-step explanation:
Volume of square pyramid
[tex]\sf \boxed{Volume \ of \ the \ square \ pyramid = \dfrac{1}{3}*b^2*H}[/tex]
b = base length = 25 mm
H = height
We have to find 'H' using Pythagorean theorem,
slant height (hypotenuse) = 28 mm
leg₁ = base length ÷ 2 = 25÷2 = 12.5
leg₂ = H
H² + (12.5)² = 28²
H² = 784 - 156.25
= 627.75
[tex]\sf H = \sqrt{627.75}[/tex]
H = 25.01 mm
[tex]\sf \text{Volume of square pyramid =$\dfrac{1}{3}*25*25*25.1$ }[/tex]
= 5229 mm³
[tex]\sf \boxed{\text{Volume of square pyramid = \dfrac{1}{3}*25*25*28}}[/tex]
What is the value of y in this system of equations?
Negative 6 x + 2 y = negative 18. Negative 3 x minus 2 y = 54.
Answer:
y = - 21
Step-by-step explanation:
System of equations:
- 6x + 2y = - 18
- 3x - 2y = 54
To find y will look to eliminate x:
- 6x + 2y = - 18
- 3x - 2y = 54 (multiply both sides by -2)
- 6x + 2y = - 18
6x + 4y = - 108
---------------------------- (add those two equations)
6y = - 126 (divide both sides by 6)
y = - 126/6 (simplify by 6)
y = - 21
Answer: -21
Step-by-step explanation:
Subtract these polynomials.
(x^2 + 5x + 2) - (5x^2 - x - 2)
Answer:
-4x^2 + 6x +4
Step-by-step explanation:
Answer:
=x^2+5x+2+−1(5x^2−x−2)
=x^2+5x+2+−1(5x^2)+−1(−x)+(−1)(−2)
=x^2+5x+2+−5x^2+x+2
=x^2+5x+2+−5x^2+x+2
=(x^2+−5x^2)+(5x+x)+(2+2)
=−4x^2+6x+4
Michael sold property for much more than he originally paid. The difference
between the price he paid for the property and the price for which he sold it is:
O simple interest.
O capital gains.
O capital goods.
O compound interest.
Answer:
Capital Gains
Step-by-step explanation:
selling for more than you bought is a gain
Bags A and B contain some counters.
The number of counters on each bag is the same.
Work out the value of y
Answer: y=3
Step-by-step explanation:
It is a linear equation6y+1=4y+76y-4y=7-12y=6y=6/2y=3ASAP worth 50 points
Answer:
32.5 square feet
Step-by-step explanation:
Area of a trapezoid
1/2 x (a + b) x ha and b = length of parallel sidesh = heightSolving
Here : a = 5, b = 8, and h = 5Area = 1/2 x (5 + 8) x 5Area = 1/2 x 13 x 5Area = 65/2Area = 32.5 square feetAnswer:
32.5 square feet
Step-by-step explanation:
here we just find the area of both shapes within the trapezoid and add them, let's start with the triangle,
formula for the area of a triangle is 0.5 × base × height
therefore,
the area of the triangle is 7.5
the area of a square is equal to the length of the side squared.
5^2 = 25
the sum of 25 + 7.5 = 32.5
final answer is 32.5 square feet
if you need any further guidance make sure to ask:)