Answers
Answer:
2. a. - 1b.[tex] - \frac{2}{3} [/tex]3. a. 4b. 6Step-by-step explanation:
[tex]2. \: a. \: \sqrt[3]{ - 1} [/tex]
[tex] = \sqrt[3]{( - 1 )\times ( - 1 )\times( - 1)} [/tex]
= -1 (Ans)
[tex]b. \: \sqrt[3]{ - \frac{8}{27} } [/tex]
Since,
[tex] \sqrt[3]{ - x} = - \sqrt[3]{x} [/tex]
Hence,
[tex] = - \sqrt[3]{ \frac{8}{27} } [/tex]
[tex] = - \sqrt[3]{ \frac{2 \times 2 \times 2}{3 \times 3 \times 3} } [/tex]
[tex] = - \frac{2}{3} (ans)[/tex]
[tex]3. \: a. \: 10 - 2 \sqrt{9} [/tex]
[tex] = 10 - 2 \sqrt{3 \times 3} [/tex]
= 10 - 2 × 3
= 10 - 6
= 4 (Ans)
[tex]b. \: 70 - {( \sqrt[3]{64} )}^{3} [/tex]
[tex] = 70 - \sqrt[3]{ {64}^{3} } [/tex]
[tex] = 70 - \sqrt[3]{64 \times 64 \times 64} [/tex]
= 70 - 64
= 6 (Ans)
Related Questions
Can someone plz help
Answers
Answer:
x=43
Step-by-step explanation:
Answer:
x = 34°
Step-by-step explanation:
(x + 7) + (63° + (2x + 8) = 180°
combine like terms:
3x + 78° = 180°
subtract 78 from each side of the equation:
3x = 102°
divide both sides by 3:
x = 34°
Select the correct answer.
Consider the first four terms of the sequence below.
-3, -12, -48, -192, . . .
What is the 8th term of this sequence?
A.
-196,608
B.
-49,152
C.
-12,288
D.
-768
Answers
Answer:
D
Step-by-step explanation:
The value of 8th term of this sequence is,
⇒ a (8) = - 49,152
What is Geometric sequence?An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.
Given that;
Consider the first four terms of the sequence are,
⇒ -3, -12, -48, -192, . . .
Here, Common ratio is,
⇒ - 12 / - 3
⇒ 4
Thus, The sequence are in Geometric sequence.
Hence, The value of 8th term of this sequence is,
⇒ a (8) = - 3 × (4)⁸⁻¹
⇒ a (8) = - 3 × 4⁷
⇒ a (8) = - 3 × 16,384
⇒ a (8) = - 49,152
Thus, The value of 8th term of this sequence is,
⇒ a (8) = - 49,152
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Find the total surface area of this cone.
Leave your answer in terms of .
15 cm
78 cm
SA = [ ? 17 cm?
Answers
Answer:
SA = 200π cm²
Step-by-step explanation:
The slant height l is the hypotenuse of the right triangle inside the cone
The triangle is an 8- 15- 17 ( Pythagorean triple ) with l = 17
Then
SA = πrl + πr²
=(π × 8 × 17) + (π × 8²)
= 136π + 64π
= 200π cm²
Answer:
in the right angle triangle,
p=15cm
b=8cm
[tex]h = \sqrt{15 {}^{2} + 8 {}^{2} } \\ = \sqrt{125 + 64} \\ = \sqrt{289} \\ = 17cm \\ sa = \pi \: rl + b \\ = \pi \: 8 \times 17 + \pi \: r {}^{2} \\ = 136\pi + 64\pi \\ = 200\pi[/tex]
I need help with this
3 (x - 4)= 2x + 6
Answers
Answer:
x=18
Step-by-step explanation:
3(x-4)=2x+6
3x-12=2x+6
3x-2x=6+12
x=18
Answer:
[tex]3(x - 4) = 2x + 6 \\ 3x - 12 = 2x + 6 \\ 3x - 2x = 6 + 12 \\ x = 18[/tex]
Hope it helps!
decrease £85 by 20%
help plssss
Answers
Answer:
68
Step-by-step explanation:
A $60 shirt is on sale for 30% off. How much is the shirt's sale price?
Answers
Answer:39?
Step-by-step explanation:
advance tickets for a school play went on sale. the price of each student ticket was $4 and everyone else paid $5. on the first day, no more than $80 in tickets were sold. describe and explain the possible values of s, the number of student tickets sold, and e, the number of tickets sold to non student’s.
Answers
Answer:
0student 16non-student,
5student 12non-student,
10student 8non-student,
15student 4non-student,
20student 0non-student
Step-by-step explanation:
s student tickets, e non student
4s + 5e = 80
s e
0 16 4(0) + 5(16) = 80
5 12 4(5) + 5(12) = 80
10 8 4(10) + 5(8) = 80
15 4 4(15) + 5(4) = 80
20 0 4(20) + 5(0) = 80
A city planner knows that the number of daily riders on the subway is expected to increase by 12% over the next year. If the current number of daily riders is represented by d,
which expression does NOT represent the expected number of daily riders next year?
A.d+0.12d
B. 1.12d
C. (1 + 0.12)d
D.0.12d
Answers
Answer:
Step-by-step explanation:
because it doesn’t start off or have 0.12 in the equation.
100 POINTS! :)
Please answer the question correctly WITH WORK...otherwise I will report! :)
Joshua has a ladder that is 12.8 ft long. He wants to lean the ladder against a verticle wall so that the top of the ladder is 11 ft above ground. For safety reasons, he wants the angle of the ladder no greater than 75 degrees. Will the ladder be safe at this height? Show your work.
Answers
Answer: So we'll use trig to solve this because it's a right triangle. The hypotenuse is the ladder (h) and the two smaller sides are the ground and the vertical wall (w).
That angle ladder makes with the ground = €
SOH: sin € = opposite/hypotenuse
No the ladder won't be safe!!!
Now let's make it safe:
The ladder's length (w) is constant, so stays 12
So now let's ask in an inequality what height will be safe (75° or less)
what does that mean?? well as long as you put the ladder against the wall so that the height from ground to top of the ladder is < 11.6 ft!!
Hope that helps! :-D
Step-by-step explanation:
Will yall help me please help me i will help ya´ll whenever ya´ll need points just ask something or i will make things where i will get ya´ll some points just will help me on this quiestion..?
Answers
PLEASE HELP!!
Find the volume of the following
square pyramid.
Help Resources
8 cm
6 cm
6 cm
V = [?] cm3
Enter
Answers
Answer:
96
Step-by-step explanation:
The volume of the square pyramid is 96 cm³.
How to find the volume of a square pyramid?
You can locate the extent of a normal square pyramid with the use of the volume formula= base location² × height / 3. Take be aware that the bottom vicinity equals the square of the pyramid's base side period. However, the peak is the perpendicular distance between the pyramid's base and the pyramid's vertex.
By using the given formula, we get
V= a² h/3
=6² * 8 / 3 = 96
The answer is 96 cm³.
The volume of a pyramid is found using the formula V = (1/3) B*h, where 'B' is the base area and 'h' is the height of the pyramid.
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If f(x)= 9x^2+2x-3, find f(-1).
Answers
Answer:
f(-1)= 4
Step-by-step explanation:
Just plug -1 into all Xs
and split it into 2 seperate problems for the time being
[9 times (-1)^2] + [2(-1)-3]
-1 squared is positive 1 times the 9 is just 9
Plus 2 times -1 is -2 minus 3 is -5
combine the two seperate problems you have
9-5 the subtract and
f(-1)= 4
Can u please help me??
It would be very helpful if u could write down the answer on a piece of paper(50pts)
Answers
Answer:
Given GP:
tₙ = (1/3)ⁿ⁻¹We see that:
t₁ = 1, r = 1/3Sum of n terms:
Sₙ = t₁(1 - rⁿ)/(1 - r)Sₙ = [1 - (1/3)ⁿ] / (1 - 1/3) = [1 - (1/3)ⁿ] / (2/3) = 3/2 [1 - (1/3)ⁿ] Sₙ = 3/2 [1 - (1/3)ⁿ]slope = - 2/5; y-intercept = 0
HELP!!!!!!!!!!!
Answers
Answer:
To form the equation, it would y = -2/5x
Step-by-step explanation:
Can you please help me
Answers
Answer:
there is the answer. ❤ hope it helps
Adele has 19 stamps in her collection.
For her birthday, Don gave her 5 more,
and then her father offered to buy her
more stamps to triple the number in
her collection. Which expression shows
how many stamps Adele will have in
her collection after her birthday?
A 19-(5 X 3)
B 19 + (5 X 3)
C (19-5) X 3
D (19 + 5) X 3
Answers
Answer:
D
19+5 is the total in her collection
multiply by three to triple
(19+5)x3
Answer:
D(19+5)x3
Step-by-step explanation:
she has 19, then don gave her 5 more
19+5
her father also offered to buy her three times so
(19+5)x3
Ellen is drawing two polygons. One of the polygons has 3 more angels then the other. What shapes could she be drawing?
Answers
Answer:
Step-by-step explanation:
This is quite and easy one, but also vague at the same time.
A polygon is a shape with 5 or more sides, so, if she were drawing a pentagon, then the second polygon has to be an octagon. A pentagon has 5 sides, and an octagon has 5 + 3 sides
In the same vein, if she were drawing a hexagon, with 6 sides, the other polygon has to be monsoon, with 6 + 3 sides.
A heptagon also gives us a 7 + 3 polygon, in decagon.
All in all, it depends on the first polygon she's drawing as the question is vague in that aspect.
A 400g pack of couscous contains 116g of carbohydrate.
A 250g bag of maize flour contains 195g of carbohydrate.
A 1kg bag of wheat flour contains 640g of carbohydrate.
Use percentages to work out the amount of carbohydrates in each.
Answers
Answer:
A: 70% B: 64%
Step-by-step explanation:
What is the slope and y-intercept of the following equation: 5x - 3y = 36
Answers
Answer:
y=5/3x-12
slope= 5/3
y-intercept= -12
Step-by-step explanation:
i hope this helps :)
Select the scenario that could be modeled by each of the given equations. For each equation, the variable c represents the cost and the variable n represents the number of items.
Answers
Answer:
c = 1.41n i think lol
Step-by-step explanation:
Answer:
The correct answers are these.
Step-by-step explanation:
Convert: :
23.7 cm =
mm
Answers
Answer:
237
Step-by-step explanation:
multiply the length value by 10
Answer:
237 mm
Step-by-step explanation:
Formula
multiply the length value by 10
Tina has 3 quarters, 1 dime, and 6 nickels in her pocket.
Find the probability of randomly drawing a nickel?
Answers
Answer:
60%
Step-by-step explanation:
Tina has 3 quarters, 1 dime, and 6 nickels, or 10 coins in total.
They are asking for the probability of drawing a nickel (6 in total). Divide 6 from the total amount of coins:
6/10 = 0.60, or 60%
Tina has a 60% chance of drawing a nickel from her pocket.
~
Which expression is equivalent to 6/7 divided by 3/5 ?
A. 6/7 x 5/3
B 6/7 x 5/3
C 7/6 divided 3/5
D 5/3 divided 6/7
Answers
Answer:
A.
Step-by-step explanation:
6/7 / 3/5 we invert the divisor and multiply:
= 6/7 * 5/3
log(x+4)=logX + log4
Answers
Answer:
log
(
x
+
4
)
=
log
(
x
)
+
log
(
4
)
=
log
(
4
x
)
, so
x
+
4
=
4
x
, hence
x
=
4
3
Step-by-step explanation:
the distance from the center of a square to a side is 4 yd. find the perimeter of the square
Answers
4th grade math HAHAHAHAHHAAA your too young for brainly ima report you ✋✋✋
Please help almost finisHHHH
Answers
Answer:
B. The y-coordinate is positive.
Step-by-step explanation:
Help asap plssss......
Answers
Answer:
-3
Step-by-step explanation:
(-4)(6)/12
-24/12
= -2
it will be nice if I get brainiest
What shape is figure b?
Figure A is a cone and figure B is a cylinder.
cylinder
sphere
cone
pyramid
Answers
Answer:
Cylinder
Step-by-step explanation:
Figure b is cylinder.
Answer:
sphere
Step-by-step explanation:
What shape is figure b?
Figure a is a half sphere and figure b is a cylinder.
cylinder
sphere
half sphere
cone
Answers
The solution is, Figure a is a half sphere and figure b is a cylinder.
What is shape?In geometry, a shape can be defined as the form of an object or its outline, outer boundary or outer surface. Everything we see in the world around us has a shape.
here, we have,
from the given figure, we have,
the given shape has two parts,
the upper half is a half sphere.
Hemisphere includes the prefix hemi-, meaning "half". The northern and southern hemispheres are divided by the equator, the circle halfway between Earth's two poles. The eastern and western hemispheres aren't divided so exactly, since there are no poles in the Earth's east-west dimension.
and, the part b is a cylinder.
A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder.
Hence, The solution is, Figure a is a half sphere and figure b is a cylinder.
learn more on shape:
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(lg 5)²+(lg 2)(lg 50)
need solution....
