Answer:
8[tex]r^{3}[/tex] - 6r
Step-by-step explanation:
2r(4r^2-3)
= 8[tex]r^{3}[/tex] - 6r
z= -91 +14.6i
is the real part of z?
What is the imaginary part of z?
Answer:
- 91 and 14.6
Step-by-step explanation:
Given a complex number z = a + bi
Then a is the real part and b the imaginary part
Given
z = - 91 + 14.6i , then
- 91 is the real part and 14.6 the imaginary part
A group of 140 high school students were asked, "Do you play a musical instrument?" The results are shown in the table below. If a musician is selected at random, what is the probability that the individual is a female student?
Males - only 24 play instruments and 41 don't
Females - only 43 play instruments and 32 don't
A. 43/140
B. 43/67
C. 43/75
D. 15/28
ANSWER:
A
Step -by -step verification:
Total number of female students that play instruments
Total number of students =43/140
If a musician is selected at random, the probability that the individual is a female student is; 15/28
How to Find the Probability?
We are given;
Total Number of High school students surveyed = 140
Number of males that play instruments = 24
Number of males that don't play instruments = 41
Number of females that play instruments = 43
Number of females that don't play instruments = 32
Thus, If a musician is selected at random, the probability that the individual is a female student is;
P(Female Student) = (43 + 32)/140 = 75/140 = 15/28
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Solve 8 = 2x + 4.
X = -4
X=-1
x = 0
X=7
Answer:
x = -1
Step-by-step explanation:
Write it in exponential form, 2^3 = 2^x+4
Since base is the same, Set the exponents equal, 3 = x + 4
Move the terms, variable goes to the left side and change the sign -x + 3 = 4
Subtract and calculate, -x = 1
Change the signs on both sides, x = -1
Answer:
x=-1
Step-by-step explanation:
i took the test
A segment is m units long. Find the distance between the midpoints of the first and the last parts in each case. a The segment is divided into three equal parts
Answer:
(2/3)m units
Step-by-step explanation:
The segment is m units long. After dividing it into 3 three equal parts, each part is m/3 units long. The midpoint of the first part is located at (m/3)/2 = m/6 units from the beginning of the segment. The midpoint of the last part is located at (2/3)m + m/6 = (5/6)m units from the beginning of the segment. Then, the distance between the midpoints of the first and the last parts is (5/6)m - m/6 = (2/3)m units
Line can be divided into segments.
The distance between the two midpoints is 2m/3
The length of the segment is given as:
[tex]\mathbf{Length = m}[/tex]
The length of each segment, after dividing them into 3 segments is:
[tex]\mathbf{Segment = \frac m3}[/tex]
The midpoint of the first segment is:
[tex]\mathbf{First= \frac m6}[/tex]
The midpoint of the third segment is the sum of the first two segments, and the half a segment
So, we have:
[tex]\mathbf{Third = \frac m3 + \frac m3 + \frac m6}[/tex]
[tex]\mathbf{Third = \frac{5m}{6}}[/tex]
So, the distance between the two midpoints is:
[tex]\mathbf{Distance = \frac{5m}{6} - \frac{m}{6}}[/tex]
[tex]\mathbf{Distance = \frac{5m - m}{6}}[/tex]
[tex]\mathbf{Distance = \frac{4 m}{6}}[/tex]
[tex]\mathbf{Distance = \frac{2m}{3}}[/tex]
Hence, the distance between the two midpoints is 2m/3
Read more about line segments at:
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Can someone please help me with this⁉️ the math question is in the picture and I’m so confused.
Answer:i think it’s a=az(b)
Step-by-step explanation:
Find the total volume of the figure.
Answer:
The Volume is 2,200
Step-by-step explanation:
10+8.8= 18.8
13.7+25= 38.7
18.8+38.7= 57.5
This is the incorrect way
__________________________________________________
Correct way:
Volume= L×H×W
25 × 8.8 × 10 = 2,200
The total volume of the figure is 693 m³.
What is Volume?Volume of a three dimensional shape is the space occupied by the shape.
Given a composite figure consisting of a triangular pyramid and a triangular prism.
Total volume of the figure = Volume of pyramid + volume of prism
Volume of the pyramid = 1/3 × base area × height
Base area = 1/2 × √(13.7² - 8.8²) × 8.8
= 1/2 × 10.5 × 8.8
= 46.2 m²
Volume of the pyramid = 1/3 × 46.2 × (25 - 10)
= 231 m³
Volume of the prism = base area × height
= 46.2 × 10
= 462 m³
Total volume = 231 m³ + 462 m³ = 693 m³
Hence the total volume is 693 m³.
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Please answer this ASAP need it fast.
Answer:
Step-by-step explanation:
[tex]-\frac{2}{3}a+\frac{5}{6}a-\frac{1}{6}[/tex]
Like term are [tex]-\frac{2}{3}a+\frac{5}{6}a[/tex], LCD of 3 ,6 = 6
[tex]\frac{-2*2}{3*2}a+\frac{5}{6}a-\frac{1}{6}=\frac{-4}{6}a+\frac{5}{6}a-\frac{1}{6}\\\\=\frac{(-4+5)}{6}a-\frac{1}{6}\\\\=\frac{1}{6}a-\frac{1}{6}\\[/tex]
148 + 2x = 180, What is x equal to?
180
148
28
18
So X equals 16
Look at the attached picture
Hope it will help you
Good luck on your assignment
Answer:
[tex]x = 16[/tex]
Step-by-step explanation:
[tex]148 + 2x = 180 \\ 2x = 180 - 148 \\ 2x = 32 \\ \frac{2x}{2} = \frac{32}{2} \\ x = 16[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Find the distance between point F and point M.
A)7
B)9
C)10
D)11
Answer:
c. 10
Step-by-step explanation:
its 10 spaces away
9. Fill in the table below with the correct slopes:
If a line has a slope of
What is the parallel line slope? What is the perpendicular line
slope?
6
3
2
Answer:
-1/6 for the number 6 and 2/3 for -3/2
Step-by-step explanation:
You have to do the reciprocal, or just swap the numerator and denominator. but if the parallel is positive the reciprocal becomes a negative. If the parallel is negative, then the reciprocal is positive.
Glad I could help!
A cup chocolate chips weigh about 9 ounces. A recipe calls for 3 3/4 cups of chocolate chips. About how many ounces of chocolate chips are needed?
Hurry Due Today
Answer:
A cup chocolate chips weighs about 9 ounces.
=> 3 cups of chocolate chips weigh about 9 x 3 = 27 ounces.
=> 3/4 cup of chocolate chips weigh about 9 x 3/4 = 27/4 = 6.75 ounces.
=> 3 and 3/4 cups of chocolate chips weigh about 27 + 6.75 = 33.75 ounces.
Hope this helps!
:)
Answer: 77 + (3 x 4) - (27+56782) +23459 x 21=92,784,273
Step-by-step explanation: hope that solves the problem you are looking for. you are welcome. hope that you get smarter because of me.
Nina skated for 2 hour 14 mins she stopped at 8:24 what time did she start skating
Answer:
6:10
Step-by-step explanation:
To solve this problem, find the time 2 hours and 14 minutes before 8:24.
2 hours before 8:24 is 6:24.
14 minutes before 6:24 is 6:10.
Therefore, Nina started skating at 6:10.
Answer:
6:10
Step-by-step explanation:
Cuz if you do 8:24 - 2:24 you get 6:10
Which best explains whether a triangle with side lengths 5 cm, 13 cm, and 12 cm is a right triangle? The triangle is a right triangle because 52 + 122 = 132. The triangle is a right triangle because 5 + 13 > 12. The triangle is not a right triangle because 52 + 132 > 122. The triangle is not a right triangle because 5 + 12 > 13.
Answer:
The Triangle Is A Right Triangle Because 5^2 + 12^2 = 13^2.
Step-by-step explanation:
5^2 = 25. 12^2 = 144. With the Pythagorean theorem, (a^2 + b^2 = c^2), 5 is a, 12 is b, and 13 is c.
25 + 144 = 169.
13 ^ 2 = 169.
Since a^2 + b^2 = c^2 is true, the triangle is a right triangle.
Given:
Sides of triangle= 5cm, 13cm and 12cm
To find: Whether a triangle is a right angled triangle.
This can be solved by applying Pythagorean theorem:
According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
[tex]H^2=P^2+B^2[/tex]
where,
H= Hypotenuse
P= Perpendicular
B=Base
Applying given values in the formula:
[tex]H^2=P^2+B^2\\\\13^2=5^2+12^2\\\\169=25+144\\\\169=169[/tex]
Since, R.H.S= L.H.S
Thus, we can say that this triangle is a right angled triangle.
Learn more:
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Factor completely. 81x4 - 1
Answer:
323
Step-by-step explanation:
Answer: 3x - 6^4
Step-by-step explanation:
I got the answer right
A local kids play sold 8 adult tickets and 9 child tickets for a total of $205. On day two they sold only 4 adult tickets and 3 child tickets for a total of $83. What was the price of each kind of ticket?
Answer:
Adult tickets cost $11 and child tickets cost $13
Step-by-step explanation:
Multiply the second equation by -2, then add the equations together.
(8a+9c=205)
−2(4a+3c=83)
Becomes:
8a+9c=205
−8a−6c=−166
Add these equations to eliminate a:
3c = 39
Then solve3c=39for c:
3c=39
[tex]\frac{3c}{3}[/tex] = [tex]\frac{39}{3}[/tex]
(Divide both sides by 3)
c = 13
Now that we've found c let's plug it back in to solve for a.
Write down an original equation:
8a+9c=205
Substitute 13 for c in 8a+9c=205:
8a+(9)(13)=205
8a+117=205 (Simplify both sides of the equation)
8a+117+−117=205+−117 (Add -117 to both sides)
8a=88
[tex]\frac{8a}{8}[/tex] = [tex]\frac{88}{8}[/tex]
(Divide both sides by 8)
a = 11
What is the area of a circle with a radius of 6 in.? Use 3.14 for the value of
pi,
Answer:
113.04
Hope this helps!
Answer:
113.04
Step-by-step explanation:
So in order to get area you gotta do R times R times Pie
So then,
You do 6 times 6,
and get 36,
Then you times 36 by 3.14 estimated,
Which gets you 113.04
WILL MARK BRAINLEIST
By what percent will a fraction change if its numerator is decreased by 60% and its denominator is decreased by 20%?
Answer:
decrease by 50%
Step-by-step explanation:
[tex]\frac{0.4x}{0.8y} =\frac{x}{2y}[/tex]
Decreased by 60% = (100%-60%)x = 0.4x.
Decreased by 20% = (100%-20%)x = 0.8x.
[tex]\frac{x}{y}[/tex] initial fraction, and we can see that denominator will increase 2 times, so fraction will decrease 2 times, or decrease by 50%.
joe paid 14.00 for a board game. this is 70% of the original price. what is the original price
Answer:
Hello There the Correct answer is 20% start off by finding 10% of $14. in order to find 10%, divide it by 70 which gives 2. you now need to make the 30% to add to the 70%, by timesing the 2 by 3to give 6. now all you need to do it add the 6 to 14 to make 20!
so your answer is $20
Hope it helps!
From ItsNobody
Answer:
Joe paid 14.00 for a board game.
This is 70% of the original price X (70/100 of original price).
We have the ratio: 14/X = 70/100
=> The original price: X = 14 x 100/70 = 20
Hope this helps!
:)
Help a girl out please and thank you.
Answer:
Step-by-step explanation:
As all are similar polygons , corresponding sides will be in proportion.
[tex]1)\frac{9}{12} =\frac{3}{4}\\\\[/tex]
Scale factor = 3 : 4
[tex]2)\frac{12}{15}=\frac{4}{5}\\\\[/tex]
Scale factor = 4 : 5
[tex]3) \frac{10}{25}=\frac{2}{5}\\[/tex]
Scale factor = 2:5
4)
[tex]\frac{8}{16}=\frac{1}{2}[/tex]
Scale factor = 1 : 2
A right triangle has legs measuring 18 in. and 26 in.
What is the length of the hypotenuse?
Round to the nearest tenth.
(A) 18.8 in.
(B) 31.6 in.
(C) 44.0 in.
(D) 100.0 in.
Step-by-step explanation:
You will have to use pythagorean theorem
18^2+26^2=x^2
324+676=1000
Then sqaure root of 1000 is 31.623.
What is the volume of the right rectangular prism with a length of 18 inches, a width of 4 inches, and a height of 10 inches?
32 in
64 in.
720 in
1,440 in
Answer:
720 inches cubed
hope this helps <3
What is the following quotient?
2- √8
4+ 12
Answer:
C 69 gooba
Step-by-step explanation:
Can someone help me with these
Answer:
1) b=2 [tex]\sqrt{2}[/tex] a= 8 2) x=y= 2[tex]\sqrt{2}[/tex]
Step-by-step explanation:
1) since the triangle is isosceles, b=2[tex]\sqrt{2}[/tex] and a= 2[tex]\sqrt{2}[/tex]*[tex]\sqrt{2}[/tex] which is 8
2) x and y equal eachother and is 4/[tex]\sqrt{2}[/tex] which is 2[tex]\sqrt{2}[/tex]
plz help asap ill give u 5 stars and mark u brainliest
Answer:
262.5
Step-by-step explanation:
1. do cross multiplication
2nd ans is 360 20x18 or just add 20 18 times
Answer:
262.5
Step-by-step explanation:
PLEASE HELP ASAP!! I will give brainliest!!!!And 25 points!!!!
Answer:
The first one. -4<=x<2
Step-by-step explanation:
PLEASE HELP ASAP!! I will give brainliest!!!!And 25 points!!!!
In a box of eight donuts, two have pink sprinkles. Express the percent of the donuts in the box that have pink sprinkles
Answer:
25%
Step-by-step explanation:
2 donuts are 1/4 of all of the donuts so that is 25%
I need help again (shock)
Answer:
Interior alternate
Step-by-step explanation:
They’re on the inside but opposite form each other
Answer:
Interior alternate
Step-by-step explanation:
9. Musa's age is two thirds of Abu's age.
If the sum of their ages is thirty years, how old is Abu?
Answer:
17
Step-by-step explanation:
Answer:
Abu is 18 years old
Step-by-step explanation: This is because 18x2/3 is 12, Musa's age, and 18+12=30.
How to find the volume of a composite solid
Answer:To find the volume of a composite solid, u identify the different parts it is made of, work out the volume of each part independently, and sum up the volumes of its parts. For composite prisms, where the bases are a composite shape, the area of the bases is the sum of the areas of the parts it is made of.
The graph shows the total number of inches of snow after different numbers of hours.
Which equation can be used to find the total number of inches of snow, y, after x hours?
A. y = 1.5x
B. y = 2x
C. y = 3x
D. y = 4.5x
Answer:
A, is the answer.
Step-by-step explanation:
If you take two points and then find the slope between them you'll find that it is 1.5.
You could also make a T-chart or plug in the x coordinates into each possible equation and see which one matches the corresponding y coordinate.
Answer:
A
Step-by-step explanation: