Step-by-step explanation:
3 + (2 * i)) - (5 - (4 * i)) =
-2 + 6 i
Answer:
−8−2i
Step-by-step explanation:
A type of hot tub holds 600 gallons of water one hose can fill the hot tub in 9 hours while another hose takes only 6 hours how long will it take for the hot tub to be filled if both hoses are used
Answer:
the answer is 40.
Step-by-step explanation:
[tex]t \: = \: \frac{600}{9 + 6} = 40[/tex]
A home seller wants to net $15,000. If he has agreed to pay a 5% commission, the loan payoff is $94,000 and closing costs are $16,000, what must the minimum listing price be? Round to the nearest $100.
9514 1404 393
Answer:
$131,600
Step-by-step explanation:
If the listing price is P, then the net is the difference between that and all of the various costs.
P -(5%×P) -94,000 -16000 = 15,000
0.95P = 125,000
P ≈ 131,600 . . . . . . divide by 0.95
The minimum listing price must be $131,600.
An angle measures 88° less than the measure of its complementary angle. What is the measure of each angle? (please see the screen shot i need 2 answers)
Answer:
1° and 89°
Step-by-step explanation:
(x + 88°) + x = 90°
2x + 88 = 90
2x = 2
x = 1°
What is the volume of a pentagonal prism that has a base area of 5.16 cm2 and a height of 9 cm? 46.44 cm 3 19.32 cm 3 55.32 cm 3 14.16 cm 3
Answer:
16.44 would be your right answer
Step-by-step explanation:
Answer:
46.44 cm 3
Step-by-step explanation:
Please actually do it im gonna k m s if someone answers this with a link again
Answer:
Top one, least to greatest:
[tex]-\sqrt{54}[/tex], [tex]-\frac{3}{9}[/tex], [tex]\frac{9}{5}[/tex], [tex]\pi[/tex], 6.6, [tex]\sqrt{75}[/tex]
Bottom one, greatest to least
9.6, [tex]\sqrt{34}[/tex], [tex]\frac{9}{9}[/tex], -4.2, [tex]-7\frac{2}{5}[/tex], [tex]-\sqrt{85}[/tex]
Answer:
Hope I helped and the answers are bellow
Step-by-step explanation:
Part A
-_/- 54 = - 7.38
-3/9 = - 0.3333
9/5 = 1.80
Pi= 3.14
Then 6.6
And finally _/- 75 = 8.66
Part B
9.6
_/- 34 = 5.83
9/9 = 1
-4.2
-7 2/5 = -7.40
-_/- 85 = - 9.21
What is 4.6m2 in cm2 ?
Answer:
4.6
Step-by-step explanation:
Evaluate the expression 4+√−9 and write the result in the form a+bi
Answer:
4 + 3i
Step-by-step explanation:
i = sqrt(-1)
sqrt(-9) = 3 * sqrt(-1) = 3i
The 4 remains the same
4 + 3i
Answer:
Step-by-step explanation:
4+√(-9) = 4 + √9√(-1)
= 4 + 3i
H varies directly as L. If H = 30 when L=60, determine H when L= 40.
a) Write the variation equation.
b) Determine the value of the quantity indicated.
a) Choose the correct answer below.
O A. H=L
k.
O B. L=
H
O C. H=kL
w
k k
OD. H=*
b) H= |(Type an integer or a decimal.)
Answer:
i) The variation equation H = k L
ii) The value of H = 20
iii) C) H = k L
Step-by-step explanation:
Step(i):-
Given that H varies directly as L
H ∝ L
H = k L
Given that H =30 and L = 60
⇒ 30 = k (60)
[tex]k = \frac{30}{60} = \frac{1}{2}[/tex]
Step(ii):-
Given that L = 40
The variation of the equation = H = k L ...(i)
put L = 40 in equation (i)
[tex]H = \frac{1}{2} X 40 = 20[/tex]
Find the value of x in the triangle shown below.
a. x=4
b.x=5
c.x=2
d.x=32
Answer:
Answer:[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ [/tex]by using Pythagoras law:h²=p²+b²
9²=x²+7²
x²=81-49
x=√32units
(5 points) The population of a state changes due to births, deaths, and immigration. The annual birth rate is 14.3 births per 1000 residents, the death rate is 11.8 deaths per 1000 residents, the immigration rate into the state is 21.6 immigrations per 1000 residents, and the emigration rate out of the state is 5.5 emigrations per 1000 residents. Find the population growth rate as a percentage.
Answer:
The population growth rate is of 1.86%.
Step-by-step explanation:
Population growth rate:
Immigration plus births subtracted by emigration and deaths.
In this question, we have that:
Birth: 14.3 per 1000
Death: 11.8 per 1000
Immigrations: 21.6 per 1000
Emigrations: 5.5 per 1000
Rate:
[tex]\frac{14.3 + 21.6 - 11.8 - 5.5}{1000} = \frac{18.6}{1000} = 0.0186[/tex]
As a percentage:
Multiply by 100%. So
0.0186*100% = 1.86%
The population growth rate is of 1.86%.
Assume that all grade-point averages are to be standardized on a scale between 0 and 6. How many grade-point averages must be obtained so that the sample mean is within 0.013 of the population mean? Assume that a 98% confidence level is desired. If using the range rule of thumb, σ can be estimated as range/4=(6-0)/2=1.5. Does the sample size seem practical?
Answer:
The sample size 'n' = 72,030
Step-by-step explanation:
Step(i):-
Given that the Estimate Error = 0.013
Given that the standard deviation of the Population = 1.5
The estimated error is determined by
[tex]E = \frac{Z_{0.98} S.D }{\sqrt{n} }[/tex]
Step(ii):-
Given that the Level of significance = 0.98 or 0.02
Z₀.₀₂ = 2.326
The estimated error is determined by
[tex]E = \frac{Z_{0.98} S.D }{\sqrt{n} }[/tex]
[tex]0.013 = \frac{2.326 X 1.5 }{\sqrt{n} }[/tex]
[tex]\sqrt{n} = \frac{3.489}{0.013} = 268.38[/tex]
Squaring on both sides, we get
n = 72,030
Final answer:-
The sample size 'n' = 72,030
The sum of a number and 4 times its reciprocal is 13/3
Find both possible numbers.
Answer:
3 ; 4/3
Step-by-step explanation:
x + 4(1/x) = 13/3
x + 4/x = 13/3
x^2 -13/3x + 4 = 0
3x^2 - 13x + 12 = 0
Δ = 169 - 144 = 25
x1 = (13 + 5)/6 = 3
x2 = (13-5)/6 = 4/3
Answer:
4/3 or 3
Step-by-step explanation:
Let, the number be x.
According to the question,
x+4×1/x=13/3
or, x+4/x=13/3
or, x^2+4/x=13/3
or, 3(x^2+4)=13x
or, 3x^2+12=13x
or, 3x^2-13x+12=0
or, 3x^2-(4+9)x+12=0
or, 3x^2-4x-9x+12=0
or, x(3x-4)-3(3x-4)=0
or, (3x-4)(x-3)=0
Either, Or,
3x-4=0 x-3=0
or, 3x=4 .•. x=3
.•. x=4/3
So, the possible numbers are 4/3 or 3.
please help me i really need help please please really really need help please
Answer:
26.5
Step-by-step explanation:
I rounded it up. Basically use pythagorean theorem.
Ahmed invests $4000 in two different accounts. The first account paid 10 %, the second account paid 9% in
interest. At the end of the first year he had earned $370 in interest. How much was in each account?
Answer: 3000$ in 9% account
Step-by-step explanation: sums in accounts are x and (4000-x)
Interests are 0.09x and 0.10(4000-x) = 400-0.1x
Now you get 0.09x -0.1x + 400 = 370
Then -0.01x = -30 and x= 3000
PLEASE HELP WILL MARK BRAINIEST! Asap
Answer:
n=8
Step-by-step explanation:
It’s a special 30-60-90 triangle, so n=8.
Answer:
54 Ok?
Step-by-step explanation: Thats what i got
find the sum.Use fraction strips to help 1/6 + 1/3 + 1/6
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Since [tex]\frac{1}{6} and \frac{1}{6}[/tex] have the same denominators, we add them first. We then add [tex]\frac{1}{3}[/tex] to the result.
2. State whether the number 21 is a perfect square, a perfect cube, or neither.
a. perfect square
b. neither
c. perfect cube
Answer:
B, neither
Step-by-step explanation:
21 is not a perfect square or perfect cube.
If right I’ll mark brainiest need ASAP
Answer:
The answer is 8
Answer:
16 inches
Step-by-step explanation:
First, do 56/7. You do this to see how much more feet it is than the scale. The answer is 8.
Because the answer is 8, you would multiply 2 inches by 8 to be proportional to 56 feet.
Nolan has a points card for a movie theater.
He receives 20 rewards points just for signing up.
He earns 2.5 points for each visit to the movie theater.
He needs at least 40 points for a free movie ticket.
Write and solve an inequality which can be used to determine
v
v, the number of visits Nolan can make to earn his first free movie ticket?
Answer:
V>_8
Step-by-step explanation:
20+2.5v >_ 40
The number of visits Nolan can make to earn his first free movie ticket is 8.
How many visits before Nolan wins a free movie ticket?The inequality that represents the information in the question is: 20 + 2.5x ≥ 40.
Where x represents the number of visits to the movie theater.
In order to determine the value of x, take the following steps combine similar terms
2.5x ≥40 - 20
Add similar terms
2.5x ≥ 20
Divide both sides by 2.5
x ≥ 8
To learn more about inequality, please check: https://brainly.com/question/5031619
Hannah was setting up a room with tables for an event. The room had 12 popular tables and 3 maple tables. What is the probability that the first person to enter the room will be randomly seated at a maple table? Give your answer as a reduced fraction.
Answer:
4 , 12 divided by 3 equals 4
Step-by-step explanation:
Find the area of the figure, in square meters, to 1 decimal place.
Answer:
Where is the picture of the figure
Step-by-step explanation:
There are 396 students who are enrolled in an introductory biology course. If there are five boys to every four girls, how many boys are in the course?
Answer:
There are 220 boys in the course.
Step-by-step explanation:
If we group the five boys and four girls together, there would be 44 (396/9) groups of nine people. Since there are five boys in every group, you would do 44*5 which is 220.
Answer:
220 boys
Step-by-step explanation:
boys:girls
5:4
396 total
(5x44)+(4x44)=396
220+176=396
220 boys
The cosine of a 30 degree angle is equal to the sine of a
30) The sum of three consecutive numbers is 27. What are the three numbers? A. 8, 9, 10 B. 6, 7 8 C. 11, 12, 13 D. 9, 10, 11
Answer:
The answer is A. 8, 9, 10
Answer:
A. 8, 9, 10.
Step-by-step explanation:
Consecutive numbers counting numbers which are 1 greater than the other, therefore:
x + (x + 1) + (x + 2) = 27
(x + x + x) + (1 + 2) = 27
3x + 3 = 27
–3 –3
3x = 24
÷3 ÷3
x = 8.
x = 8 → [ x + (x + 1) + (x + 2) ] =
(8) + (8 + 1) + (8 + 2) = 8 + 9 + 10
help pleaseeeeeeeeeeeee
Answer:
B
Step-by-step explanation:
The mean is the average of all ages meaning that the ages are close to 11.6 but don't necessarily have to be 11.6.
What area is this shape ?
9514 1404 393
Answer:
40 square units
Step-by-step explanation:
The area can be considered as that of two trapezoids, a rectangle, and a triangle. The total area is the sum of the areas of these.
Draw two horizontal lines, one beginning at the left-most point, and another 2 units below that. Draw a vertical line segment extending the vertical line at the top down to the first horizontal line. Now the figure is divided as described above.
The upper left trapezoid has bases of 3 and 5, and a height of 4. Its area is ...
A = 1/2(b1 +b2)h
A = (1/2)(3 +5)(4) = 16
The trapezoid between the two horizontal lines has bases of 8 and 7, and a height of 2. Its area is ...
A = (1/2)(8 +7)(2) = 15
The rectangle at upper right has a base of 2 and a height of 3. Its area is ...
A = bh
A = 2(3) = 6
The triangle at the bottom has a base of 3 and a height of 2. Its area is ...
A = 1/2bh
A = 1/2(3)(2) = 3
Then the total area of all of these pieces is ...
Area = 16 +15 +6 +3 = 40 . . . . square units
Answer:
the answer is 40 square units
A spinner is shown below. What is the probability of spinning a dotted or solid section?
a. 2/3
b. 1/2
c. 1/4
d. 1/5
Answer:
b
Step-by-step explanation:
There are four solid and dotted sections and eight sections in total so the probability is 4/8 or 1/2
Can someone please solve this
This one takes time to type all the math work.
Let me see.
There are two triangles here.
They both have the same area.
A = (1/2)(base)(height) times 2
A = (1/2)(42)(56) times 2
A = 1,176 times 2
A = 2,352 inches^2.
We also have three rectangles. We need to find the area of each rectangle individually.
Area of bottom rectangle = 42 times 72 or 3,024 inches^2.
Area of back rectangle = 56 times 72 or 4,032 inches^2.
Area of slanted rectangle = 70 times 72 0r 5,040 inches^2.
We now add all the areas together to find the total area of the entire figure.
Total Area = 2,352 inches^2 + 3,040 inches^2 + 4,032 inches^2 + 5,040 inches^2
Total area = 14,448 inches^2
Done!
Did you understand what was done here?
What is a correct definition of P-value?
p-value is a measure of the probability that an observed difference could have occurred just by random chance.
GIVING OUT BRAINLIEST ANSWER !! PLS HELP ME OUT !! (last minute)
Answer:
1:[tex]\sqrt{3}[/tex];2
Step-by-step explanation:
those are the side length ratios
Answer:
1:√3:2
Step-by-step explanation:
Brainliest please