Answer:
Step-by-step explanation:
[tex]3\sqrt[5]{(x+2)^{3}}+3=27[/tex]
[tex]3\sqrt[5]{(x+2)^{3}}=27-3[/tex]
[tex]ln 3\sqrt[5]{(x+2)^{3}}= ln 24[/tex]
[tex]ln 3 + ln\sqrt[5]{(x+2)^{3}}= ln 3 + ln 8[/tex]
[tex]ln\sqrt[5]{(x+2)^{3}}= ln 8[/tex]
[tex]\frac{3}{5} ln(x+2)= ln 8[/tex]
[tex]ln(x+2)=\frac{5}{3} ln 8[/tex]
x + 2 = [tex]\sqrt[3]{8^{5}}[/tex]
x = [tex]\sqrt[3]{8^{5}}[/tex] -2
The diameter of a sphere is 4 centimeters. Which represents the volume of the sphere?
Answer:
32/3 x pi or 32/51 rounded to the nearest hundredths
Step-by-step explanation:
4/3 x r^3 x pi
=32/3 x pi
Answer:
Step-by-step explanation:
volume of the sphere fomular = [tex]\frac{4}{3} * \pi *r^{2}[/tex]
The diameter of a sphere is 4 centimeters -> radius = r = 2 cm
-> volumn = [tex]\frac{4}{3} *\pi *2^{2}[/tex]
= 16.7466666 cm3
The height of a cone is twice the radius of its base.
What expression represents the volume of the cone, in
cubic units?
orx?
2/3 pi x ^3
4/3 pi x ^2
2 pi x^3
4 pi x ^3
Answer:
This first expression is correct
V= 2/3*pi*r³
Step-by-step explanation:
This problem bothers on the volume of a cone
We know that the volume of a cone is expressed as
V= 1/3πr²h
Given that h= 2r
Let us substitute h=2r in the formula above
V= 1/3πr²*2r
V= 2/3πr³
The Answer Is:
2/3pix^3
How many hundredths are in one tenth? Explain using pennies and dimes.
Answer:
11 ways
100 Pennies & 0 Dimes
90 Pennies & 1 Dimes
80 Pennies & 2 Dimes
70 Pennies & 3 Dimes
60 Pennies & 4 Dimes
50 Pennies & 5 Dimes
40 Pennies & 6 Dimes
30 Pennies & 7 Dimes
Step-by-step explanation:
What is the discriminant of the quadratic equation 0 = –x2 + 4x – 2?
–4
8
12
24
Answer:
8
Step-by-step explanation:
0 = –x^2 + 4x – 2
This is of the form
ax^2 +bx +c
a = -1 b = 4 x = -2
The discriminant is
b^2 -4ac
4^2 - 4(-1)(-2)
16 - 8
8
Solve for the height (h) of this triangular prism if the volume is 1080. The
volume of a triangular prism is V = (B)(h), where B is the area of the
triangle. Remember the area of a triangle is 1/2(b)(h). BE CAREFUL
BECAUSE THERE ARE TWO HEIGHTS, ONE FOR THE TRIANGLE AND ONE
FOR THE TRIANGULAR PRISM. *
h
15
8
Answer: 18
Step-by-step explanation:
Area of triangle = (0.5) × base(b) × height(h)
Base of triangle = 8
Height of triangle = 15
Area of triangle = (0.5) × 8 × 15 = 60
Volume of triangular prism = B × height
Where h = height
B = area of triangle
Volume of triangular prism = 1080
Find the height(h) of the triangular prism
Volume of triangular prism = B × height
1080 = 60 × h
h = 1080 / 60
h = 18
plzzzzzzzzzzzzzaaaaaa
Answer:
C
Step-by-step explanation:
[tex]y^2+4y-32=0\\(y+8)(y-4)=0\\y=4,-8[/tex]
Therefore, the answer is C. Hope this helps!
help me write in scientific notation <3
5,540,000,000 = ____________
0.000025409 = ____________
Answer:
<3 I want brainliest!!!
Step-by-step explanation:
1) 5.54 x 10^9
2) 2.5409 x 10^-5
1. A man has 5 grandchildren, 4 girls and 1 boy. He thinks this is unusual. If the probability that any child born
will be a girl is 1/2, what is the probability that a person who has 5 grandchildren will have exactly 4
granddaughters? Is this case unusual? Explain.
2 To be on the safe side three detectors were installed in a facton moon
Answer:
6.25%
Step-by-step explanation:
To know the final probability that this has happened, we must multiply the probability of each event, they tell us that the probability that it is a girl is 1/2 and this happened 4 times, therefore:
(1/2) ^ 4 = 0.0625
that is, the probability that 4 girls are born is 6.25%
an unusual probability is considered when it is less than 5%, therefore, although it approaches this figure, it is not unusual
Starting at home, Michael traveled uphill to the gift store for 25 minutes and just 10 mph. He then travel back home along the same path downhill at the speed of 30 mph.
What is his average speed for the entire trip from home to the gift store and back?
Answer:it took him 8 minutes on the return trip, for a round-trip time of 32 minutes. his average speed was (8mi/32min) (60min/hr)=15 mph for the whole trip
Step-by-step explanation:
A rectangles length is three more than twice the width. The perimeter of the rectangle is 72 units. Write a let statement that can be used to find the length and width of the rectangle. Write an equation that can be used to find the length and width of the rectangle. Solve the equation. What is the length of the rectangle? What is the width of the rectangle?
Answer:
The length is 25 units and the width is 11 units
Step-by-step explanation:
Let the length of the rectangle be l.
Let the width of the rectangle be w.
We are given that the length of the rectangle is three times more than twice its width. This means that:
l = 3 + 2w
The perimeter of a triangle is given as:
P = 2(l + w)
This implies that:
P = 2[(3 + 2w) + w]
P = 2(3 + 3w)
We can use this to find the width of the rectangle and then the length.
The perimeter of the rectangle is 72 units.
Therefore:
72 = 2(3 + 3w)
72 = 6 + 6w
=> 6w = 72 - 6 = 66
w = 66 / 6 = 11 units
The length, l, is therefore:
l = 3 + 2(11) = 3 + 22 = 25 units
Round cake has a diameter of 30 cm . Angela places the cake on a circular cake board with a diameter 5 cm longer than that of the cake . What's the circumference
Answer:
circumference of the cake board = 109.9 cm
Step-by-step explanation:
diameter of cake = 30cm
diameter of cake board = 5cm longer than 30cm = 5 + 30 = 35cm
radius cake board = diameter ÷ 2 = 35 ÷ 2 = 17.5 cm
radius of cake board = 17.5 cm
circumference of a circle = 2 × π × r (where π = 3.14)
circumference of a circle = 2 × 3.14 × 17.5 = 109.9 cm
Therefore the circumference of the cake board = 109.9 cm
Answer:
35pi
Step-by-step explanation:
brainliest maybe?
write the equation of a line through the points (2,3) and (-1,-9)
Answer:
with the points (2,3) and (-1,-9) the answer is y=4x+10
Step-by-step explanation:
you have to do (x1,y1) (x2,y2) thats for each point
the equation to get the slope is y2-y1 divided by x2,x1
to get the y-intercept to plug in one of the points to the slope-intercept equation
y=4x+5
I picked the points (2,3) but you should get the same answer with the other points
3=4(2)=5
3=8+5
3=13
-3+-3
=10 thats your y intercept.
3. A publisher printed 30,000 copies of an edition of a book. Each copy of the book cost the publisher 45Gp to produce and it is sold to the public for 76Gp. The publisher agrees to pay the author 10% of the selling price of the first 6000 copies sold, and 12% of the selling price for all copies sold in excess of 6000. Altogether 25,300 copies of the book are sold. Calculate, correct to the pesewa: I) the total amount received by the author
Answer:
The total amount received by the author is of 221,616Gp.
Step-by-step explanation:
25,300 copies sold.
For the first 6000, he receives 10% of the selling price of 76 Gp.
For those in excess of 6000, that is, the next 25300 - 6000 = 19300, he receives 12% of the selling price of 76 Gp.
Total amount received by the author:
6000*0.1*76 + 19300*0.12*76 = 221,616
The total amount received by the author is of 221,616Gp.
In a classroom of 20 students, 70% of them have brown eyes. If a teacher picks two students
at random to pass out supplies, what is the probability he chooses two students without brown
eyes?
49
A)
100
B)
91
190
3
C)
38
9
D)
100
Answer:
The probability is 9/100
Step-by-step explanation:
First, we know that 70% of the students are with brown eyes. Since we have a total of 20 students, this corresponds to 70/100 * 20 = 14 students
The number of students without brown eyes is thus 20 -14 = 6 students
Now, the probability of selecting a student without brown eyes is 14/20 = 7/10 while the probability of selecting a student with brown eyes is 6/20 = 3/10
Now the probability of selecting two students without brown eyes mean, the first selected is without brown eyes and also the second selected is without brown eyes.
In probability, once we have the work and, we multiply.
So our answer here is 3/10 * 3/10 = 9/100
Find the vertex of the parabola. Write your answer as an ordered pair.
y equals 2 x squared plus 3
Answer:
(0,3)
Step-by-step explanation:
When X=0, Y=3
Frankie was practicing for a 5 kilometer race his normal time is 31 minutes and 24 seconds but yesterday he took 29 minutes and 50 seconds how much time came of his normal time
Answer: 1 minute 34 seconds
Step-by-step explanation:
From the question, Frankie was practicing for a 5 kilometer race and his normal time is 31 minutes and 24 seconds but yesterday he used 29 minutes and 50 seconds. To calculate how much time came of his normal time, we are going to find the difference between the yesterday's time and normal time. This will be:
31 minutes 24 seconds - 29 minutes 50 seconds = 1 minute 34 seconds
what is the voulme of a cube with the side length of 5
Answer:
This is the correct answer
Step-by-step explanation:
The V = 125
Sammy has 2 pair of jeans, 3 pair of black pants, and 1 skirt. She also has 2 pink shirts, 4 striped shirts, and 2 hooded sweatshirts. How many different outfits can Sammy make?
Answer: 72
Step-by-step explanation:
Ok, in her legs the options are:
2 jeans + 3 black pants + 1 skirt = 6 options.
on her torso the options are:
2 pinks shirts + 4 striped shirts = 6 options.
And on top of that she has:
2 hooded sweatshirts = 2 options.
The total number of combinations is equal to the product of options for each type of garmet; this is:
C = 6*6*2 =36*2 = 72
So she has 72 different outfits.
Answer:
It is 70 becouse of how many clothing ther is and u just mulytly
it tell me if im right or wrong
thanks stay safe
byebye
Step-by-step explanation:
The ratio of the leg opposite to an angle to the leg adjacent to the angle in a right
triangle is called the ___ of the angle.
A. sine
B. tangent
C. cotangent
D. secant
Answer:
the answer is b. tangent
Step-by-step explanation:
The ratio of the leg opposite to an angle to the leg adjacent to the angle in a right triangle is called the tangent of the angle.
On which triangle can we apply trigonometric ratios?The trigonometric ratio can be defined in terms of ratios of perpendicular, bases, and hypotenuse.
Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.
In a right-angled triangle, two such angles are there which are not right-angled(not of 90 degrees).
The slanted side is called the hypotenuse.
From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called the base.
The tangent of the angle is
[tex]\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}[/tex]
Learn more about trigonometric ratios here:
https://brainly.com/question/22599614
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Mei is carrying seven pages of math homework and six pages of English homework.A gust of wind blows the pages out of her hands and she is only able to recover seven random pages what is the probability that she recovers exactly three pages of her math homework
Answer:
probability of recovering exactly 3 pages of homework = 35/286
Step-by-step explanation:
She carries seven pages of math homework and six pages of English.
Thus, total pages = 7 + 6 = 13 pages.
Now, wind blows all the 13 pages out of her hands, we want to find out the probability of recovering exactly 3 pages of homework.
There are a total of 7 pages of maths homework from the question.
Thus,
First page = 7/13
Second page = 6/12
Third page = 5/11
So,probability of recovering exactly 3 pages of homework = (7/13) * (6/12) * (5/11) = 35/286
I am Giving 50 points
Hailey organizes a New Year’s party. There are 16
pastries at the party, 7 of the pastries
are chocolate. What is the relative
frequency probability that a randomly
selected pastry will be a chocolate
pastry?
7/16 maybe
...............
Answer:
7/16
Step-by-step explanation:
the relative
frequency probability that a randomly
selected pastry will be a chocolate
pastry is 7/16
does any of yall know the answer to this shat?
Answer:
s=2
Step-by-step explanation:
subtract 21 from both sides= -3s=-6
divide by -3 to get s alone
s=2
s = 2
Step-by-step explanation:
subtract 21 to both sides
-3s= -6
then divide by -3 both sides to isolate s variable
s= 2
HELPPPPP I HAVE NO CLUE ON WHAT TO DO
Answer:
B 86
Step-by-step explanation:
ABCD = EFGH
A = E
B = F
C = G
D = H
Correct answers only please!
Correct answers only!
To the nearest cent, how much will she have in 2 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
$ 6.30
Step-by-step explanation:
A = P + I where
P (principal) = $ 6.00
I (interest) = $ 0.30
A = P(1 + r/n)nt
Two children are playing a code-breaking game. One child makes a sequence of three colors from red, yellow, blue, and purple. The other child must guess the sequence of colors in the correct order. Once one color is used, it cannot be repeated in the sequence.
What is the probability that the sequence is guessed on the first try?
StartFraction 1 Over 24 EndFraction
One-eighth
One-fourth
One-third
Answer:
1/24
Step-by-step explanation:
i just took it
The probability that the sequence is guessed on the first try is 1/24.
ProbabilityTotal colors available for making code=4
Colors required for making code=3
Hence:
Total ways of making code=4p3=4!/(4-3)!
=4×3×2×1/1
=24
Probability that the sequence is guessed on the first try=1/Total ways of making code
Probability that the sequence is guessed on the first try=1/24
Therefore the correct option is A.
Learn more about probability here:https://brainly.com/question/24756209
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21 radical sign p^-4/p^3
Answer: [tex]p^-^\frac{1}{3}[/tex]
[tex]\sqrt[21]{\frac{p^-^4}{p^3} }[/tex]
[tex]\sqrt[21]{p^-^4^-^3}[/tex]
[tex]\sqrt[21]{p^-^7}[/tex]
[tex]\sqrt[21]{\frac{1}{p^7}}[/tex]
[tex]\frac{\sqrt[21]{1} }{\sqrt[21]{p^7} }[/tex]
[tex]\frac{1}{p^\frac{7}{21} }=\frac{1}{p^\frac{1}{3} }=p^-^\frac{1}{3}[/tex]
Is -20.33 rational or irrational?
Answer:
No it is irrational (looked at it wrong)
Georgianna wants to use the linear model associated with the data in the table to make a prediction.
A 2-column table with 5 rows. The first column is labeled time (minutes) with entries 0, 5, 10, 15, 30. The second column is labeled distance (miles) with entries 0, 4, 9, 13, 18.
Which range of time values describes the entire interval over which she would be interpolating?
0 to 5 minutes
0 to 18 minutes
0 to 30 minutes
18 to 30 minutes
Answer:
0 to 30 minutes on edg.
Step-by-step explanation:
Answer:
c on e 2020
Step-by-step explanation:
Evaluate [tex]\int\limits^e_0 {\frac{1}{x} } \, dx[/tex]
1
e^2-1/(1)
0
The integral diverges.
I think it is the last option, but I am not entirely sure.
Answer:
The integral diverges.
Step-by-step explanation:
∫₀ᵉ 1/x dx
(ln|x| + C) |₀ᵉ
ln|x| is undefined as x approaches 0, so the integral diverges.
Brainliest!!!
What is 30 divided by 5?
Really Easy!
Answer:
6
Step-by-step explanation:
Answer:
The answers 6 gorgious
