Answers
Answer:
a) 1/8
b) 8
Step-by-step explanation:
a) 1/2 x 1/2 x 1/2 = 1/8
b) since the exponent is negative it becomes positive when placed in the denominator
so 1/2 ^-1 is equal to 1/1 ÷ 1/2 which is equal to 2
therefore, (1/2)^-3 is equal to 2 x 2 x 2 or 8
Related Questions
Please answer quickly Attachment down below
Answers
Answer:
He needs to find the area of each lateral face plus the area of the base. The total surface area is 84.
Step-by-step explanation:
area of a triangle= b×h×1/2
therefore area of each triangle(lateral face)= 6×4×1/2= 12
12×4 because there are 4 triangles=48
then the area of the base= 6×6= 36
total surface area= 36+ 48=84
I'LL MAKE YOU BRAINLIEST IF YOU ANSWER THIS
In the triangle shown, the ratio of the height to the length of the base is 3:4.
Chose True or False on A-C.
A. The area of the triangle is twice the area of a parallelogram with the same base and height
B. The height is 3/4 the base length.
C. The area is 8.64 mm²
Answers
Answer:
A. False
B. True
C. True
Step-by-step explanation:
A: Area of traingle = 1/2 × Base Length × Height
Area of parallelogram = Base Length × Height
Therefore, Statement A is False.
B: Base on the ratio for height to base length 3:4,
Statement B is True.
C: Base Length = 4.8 ÷ 4 × 3
= 3.6 mm
Area of Triangle = 1/2 × Base Length × Height
= 1/2 × 3.6 × 4.8
= 8.64mm²
Therefore, Statement B is True.
The volume of a paper cone of radius 2.4cm is 95.4 cm3.
The paper is cut along the slant height from O to AB.
The cone is opened to form a sector OAB of a circle with centre O.
Calculate the sector angle x°.
[The volume, V, of a cone with radius r and height h is V= 1/3 x π x r² x h.]
Answers
The sector angle formed by the cone when it is opened is: 54°.
What is the Curved Surface Area of a Cone?Curved surface area of a cone = πrl, where l is the slant height and r is the radius of the cone.
What is the Area of Sector?Area of a sector in a circle = ∅/360 × πr², where ∅ is the sector angle.
Step 1: Find the height (h) of the cone using the volume formula, V= 1/3 x π x r² x h:
V = 95.4 cm³
r = 2.4 cm
Plug in the values:
95.4 = 1/3 x 3.14 x 2.4² x h
95.4 = 6.03 x h
h = 15.8 cm
Step 2: Use the pythagroean theorem to find the slant height (l) of the cone
l = √(h² + r²)
Plug in the values
l = √(15.8² + 2.4²)
l = 16 cm.
Step 3: Find the curved surface area of the cone
Curved surface area = πrl = π(2.4)(16) = 120.6 cm².
Step 4: Find the sector angle of the sector formed by the cone when opened
Curved surface area of the cone = area of the sector formed by the cone = 120.6 cm².
Area of a sector in a circle = ∅/360 × πr², therefore:
120.6 = ∅/360 × (3.14)(16²)
120.6 = ∅/360 × 803.84
(120.6)(360) = (∅)(803.84)
43,416 = (∅)(803.84)
43,416/803.84 = ∅
∅ = 54°
Therefore, the sector angle formed by the cone when it is opened is: 54°.
Learn more about cone on:
https://brainly.com/question/6613758
for the given equation, enter the value of B when x =10. Bx=20
Answers
[tex]b = 2[/tex]
Step-by-step explanation:
[tex]bx= 20[/tex]
insert x=10
[tex]b(10) = 20[/tex]
divide both sides by 10
[tex]b(10) \div 10 = 20 \div 10[/tex]
[tex]b = 20 \div 10[/tex]
simplify
[tex]b = 2[/tex]
What is the interest rate if a principal of $572 earns $228.80 in interest in four years?
Answers
Answer:
the answer is 10% if it is simple interest you're talking about.
What is the y-intercept and the x- intercept(s)?
Answers
Y intercept is 2
Answer:
y-intercept is 2
x- intercept(s) are -4 and 2
Step-by-step explanation:
y-intercept is where the line crosses the y line (vertical)
x- intercept is where the line crosses the x line (horizontal)
what is the formula of equilateral triangle .class-8
Answers
Answer:
Step-by-step explanation:
The perimeter of an equilateral triangle is:
P = 3a (where a any length of the triangle)
The area of an equilateral triangle is:
[tex]A = \frac{\sqrt{3} }{4} a^{2}[/tex] (where a is the side length)
Using the area formula we can rearrange it to get the formula of the length of the equilateral triangle:
[tex]a = \frac{2}{3} 3^{\frac{3}{4} } \sqrt{A}[/tex]
Then three important formulas are
[tex]\\ \rm\Rrightarrow Perimeter=3s[/tex](As sides are equal)
[tex]\\ \rm\Rrightarrow Area=\dfrac{\sqrt{3}}{4}s^2[/tex]
[tex]\\ \rm\Rrightarrow Height=\dfrac{\sqrt{3}s}{2}[/tex]
I’m posting a lot of these until I reach 90 on ixl, please bear with me lol
Answers
Solution in picture
Answer:
327.5 feet²
Step-by-step explanation:
Let's divide the figure into multiple shapes (Refer to image). To determine the area of the figure, we need to find the area of the divided shapes, then sum it up to obtain the area of the figure.
Determining the area of the triangle:
Given dimensions:
Height = 11 feetDetermining the base of the triangle:
[tex]22 + b + 5 = 7 + 8 + 17[/tex]
[tex]27 + b = 32[/tex]
[tex]b = 32 - 27[/tex]
[tex]b = 5 \ \text{ft}[/tex]
Substituting the base and the height:
[tex]\text{Area of triangle} = \frac{1}{2} \times \text{Base} \times \text{Height}[/tex]
[tex]\text{Area of triangle} = \frac{1}{2} \times 5\times11[/tex]
Simplifying the R.H.S to determine the area:
[tex]\text{Area of triangle} = 5\times5.5[/tex]
[tex]\text{Area of triangle} = 27.5 \ \text{ft}^{2}[/tex]
Determining the area of rectangle₁
Given dimensions:
Length = 17 feetBreadth = 5 feetSubstitute the length and the breadth:
[tex]\text{Area of rectangle}_{1}} = LB[/tex]
[tex]\text{Area of rectangle}_{1}} = (5)(17)[/tex]
Simplify the R.H.S to determine the area:
[tex]\text{Area of rectangle}_{1}} = 85 \ \text{feet}[/tex]
Determining the area of rectangle₂
Given dimensions:
Length = 5 + 7 feetBreadth = 8 feetSubstitute the length and the breadth:
[tex]\text{Area of rectangle}_{2} = LB[/tex]
[tex]\text{Area of rectangle}_{2} = (7 + 5)(8)[/tex]
Simplify the R.H.S to determine the area
[tex]\text{Area of rectangle}_{2} = (7 \times 8) + (5 \times 8)[/tex]
[tex]\text{Area of rectangle}_{2} = 56+ 40[/tex]
[tex]\text{Area of rectangle}_{2} = 96 \ \text{feet}^{2}[/tex]
Determining the area of rectangle₃
Given dimensions:
Length = 17 feetBreadth = 7 feetSubstitute the length and the breadth:
[tex]\text{Area of rectangle}_{2} = LB[/tex]
[tex]\text{Area of rectangle}_{2} = (17)(7)[/tex]
Simplify the R.H.S to determing the area:
[tex]\text{Area of rectangle}_{2} = 119\ \text{feet}^{2}[/tex]
Determining the area of the figure:
A (Figure) = A (Triangle) + A (Rectangle₁) + A (Rectangle₂) + A(Rectangle₃)
= 27.5 + 85 + 96 + 119
= 327.5 feet²
Given A, B and C are sets, consider the following text:
(1) If B ∩ C = ∅ and A ⊂ (B ∪ C) then (A ∪ B) ∩ C = A ∩ B
(2) A ∪ (B ∩ C) ⊂ (A ∪ C) ∩ B
(3) If set A has 9 elements, set B has 7 elements and power set of A - B has 32 elements then power set of B - A has 16 elements.
Which statements are correct?
A. (1) and (2) are correct but (3) is not.
B. (1) and (3) are correct but (2) is not.
C. (2) and (3) are correct but (1) is not.
D. All are correct.
E. All are incorrect.
Answers
Let's check one by one
#1
B$\cap$ C=ØAnd
A$\subset$ (B U C)A$\subset$ B U A$\subset$ CTill now it's ok but
(A UB)$\cap$ CA$\cap$ C U B$\cap$CBut as B$\cap$ C has no elements this expression yields A$\cap$ C
Hence
False#2
Solve RHS
(A UC )$\cap$ BA$\cap$ B U B$\cap$ CBut according to first statement second part has no elements so it yields only
A$\cap$ BAnd
It denotes to common elements of A and B not all elements of A
Hence
False#3
[tex]\\ \rm\Rrightarrow P(A-B)=32[/tex]
[tex]\\ \rm\Rrightarrow 2^{|A-B|}=32[/tex]
[tex]\\ \rm\Rrightarrow 2^{|A-B|}=2^5[/tex]
[tex]\\ \rm\Rrightarrow |A-B|=5[/tex]
[tex]\\ \rm\Rrightarrow A-B=\pm 5[/tex]
As elements can't be negative integer it's only 5.
[tex]\\ \rm\Rrightarrow A\cap B=A-(A-B)=9-5=4\star[/tex]
And
[tex]\\ \rm\Rrightarrow P(B-A)=16[/tex]
[tex]\\ \rm\Rrightarrow 2^{|B-A|}=16[/tex]
[tex]\\ \rm\Rrightarrow 2^{|B-A|}=2^4[/tex]
[tex]\\ \rm\Rrightarrow |B-A|=4[/tex]
[tex]\\ \rm\Rrightarrow B-A=\pm 4[/tex]
Again take it positive 4
[tex]\\ \rm\Rrightarrow B\cap A=B-(B-A)=7-4=3[/tex]
As
[tex]\\ \rm\Rrightarrow A\cap B\neq B\cap A[/tex]
This statement is falseConclusion:-All statements are incorrect
Option E(0,3) and (5,13) what is the answer
Answers
Answer:
if you're asking for the slope the answer is 2
Step-by-step explanation:
i hope your asking for slope
Kevin works 2 hours more than emily each time they work together. Using this information, complete the table
Answers
If Kevin works two more hours than Emily, the correct number of hours that complete the table are 6, 5, 8, and j.
How many hours do Kevin and Emily work?The number of hours can be expressed as:
The number of hours Emily works = K - 2 or the number of hours Kevin works minus 2.The number of hours Kevin works = E + 2 or number of hours Emily works plus 2.What are the missing numbers?Emily = Kevin4 hours = 6 hous (E+2)5 hours (K-2) = 7 hours 6 hours = 8 hours (E+2)h= j (E+2)Learn more about mathematics in: https://brainly.com/question/15209879
Which of the following are solutions to the equation below?
Check all that apply 25x(squared) - 16 = 0
Answers
[tex]~~25x^2-16=0\\\\\implies (5x)^2 -4^2 =0\\\\\implies (5x+4)(5x-4)=0\\\\\implies x = -\dfrac{4}5, ~~~x=\dfrac 45[/tex]
The table represents the metric volume measure of a liter. Each amount is represented by its power of 10.
A 2-column table with 5 rows. Column 1 is labeled Unit with entries centiliter, liter, hectoliter, kiloliter, megaliter. Column 2 is labeled Power of 10 with entries 10 Superscript negative 2, 10 Superscript 0, 10 squared, 10 cubed, 10 Superscript 6.
Complete the work to determine how many times larger a megaliter is than a hectoliter.
1. Divide powers:
106
102
2. Expand each power:
10 • 10 • 10 • 10 • 10 • 10
10 • 10
3. Divide common factors:
10 • 10 • 10 • 10 • 10 • 10
10 • 10
4. Simplify.
A megaliter is
times larger than a hectoliter.
Answers
The megaliter is 10,000 times larger than a hectoliter
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
1 mega liter = 10⁶ Liter
1 hectoliter = 10² Liter.
Hence, a megaliter is 10,000 (10⁶/10²) times larger than a hectoliter
Find out more on equation at: https://brainly.com/question/2972832
Step-by-step explanation:
Answer:
10,000
Step-by-step explanation:
Got it right on the assignment.
Please tell me how to solve for the area cause I thought the formula was ab/2
Answers
Answer:
Step-by-step explanation:
(a). 5.33 m
(b). 41.65 m²
Why wont anyone give me just the answers when i need them?
Answers
Answer:
id.k maybe because people are busy ,
i think the same as you.
Step-by-step explanation:
5)Find the mean, median, mode, range, first quartile, third quartile, and the interquartile range for
each data set given. Is the data skewed?
a. 7, 12, 1, 7, 6, 5, 11, 10, 14, 16, 16, 8, 9, 11, 12, 3
b. 85, 105, 95, 90, 115, 10, 8, 7, 5, 9, 10, 7
Answers
Answer:
See belowStep-by-step explanation:
DefinitionsMean - average numberMedian - the middlepoint of the data setMode - the most repeated data in the setRange - the difference between the minimum and maximum values of data setFirst quartile - Q1, the median of the lower half of the data setThird quartile - Q3, the median of the upper half of the data setIQR - the difference of Q3 and Q1Step 1Put the data in the ascending order
a) 1, 3, 5, 6, 7, 7, 8, 9, 10, 11, 11, 12, 12, 14, 16, 16b) 5, 7, 7, 8, 9, 10, 10, 85, 90, 95, 105, 115Step 2Find all the numbers
a)
Mean = (1+3+ 5+ 6+ 7+ 7+ 8+ 9+ 10+ 11+ 11+ 12+ 12+ 14+ 16+ 16)/16 = 9.25Median = (9 + 10)/2 = 9.5Mode = noneRange = 16 - 1 = 15Q1 = (6 + 7)/2 = 6.5Q3 = 12IQR = 12 - 6.5 = 5.5The data is almost uniform as the mean and median are very closeb)
Mean = (5+ 7+ 7+ 8+ 9+ 10+ 10+ 85+ 90+ 95+ 105+ 115)/12 = 45.5Median = 10Mode = noneRange = 115 - 5 = 110Q1 = (7 + 8)/2 = 7.5Q3 = (90 + 95)/2 = 92.5IQR = 92.5 - 7.5 = 85The data is skewed left as the mean and median are too differenetA large box of crackers weighs 20 oz. If James needs 3 pounds of crackers for a party, how many boxes of crackers should he buy?
Answers
each box is 200z, that means each box is a little over 1 pound. (1.25 pounds to be exact). So, we know that he needs to buy 3 boxes of crackers. This is because 20×3=60 ounces which is 3.75 pounds. Meaning, 3 boxes is the correct answer since we can't cut a box in half.
The graph of an exponential model in the form y=a•b^x passes through the points (3,5) and (4, 10).
Which point is also on the graph?
Answers
Answer:
Option C
Step-by-step explanation:
Attached photo might help you out
25 POINTS! Omilia is making chapatis by mixing flour and water in the ratio of 1 : 3. She starts by mixing 2.5 cups of water with 4 cups of flour. How many more cups of water does she need?
Answers
Answer: Below
Step-by-step explanation:
We know that water must be three times flour, so our end goal is 12 cups of water, since 4 * 3 = 12.
We already have 2.5 and 4, so we make the equation:
2.5 + x = 12
Simplify.
x = 7.5
Our answer is 7.5
How many miles can be driven with 5.5 gallons of gas
Answers
Answer:
About 198 miles.
Step-by-step explanation:
The average car can drive with an MPG ratio of 36 miles per gallon. Using this and other observations. This would make this equation rather facile and result in equation 36(MPG) × 5.5(Gallons). Therefore, the result led to the remedy as 198 miles.
A store pays $98.25 for a surfboard and marks the price up by 40%. What is the amount of the mark-up?
Answers
So the amount of mark up is $39.30.
Andy is blowing up a spherically shaped balloon. If he is able to blow 81π cm^3 of air with every breath, it takes him 12 breaths to fully inflate the balloon.
Answers
The radius of the balloon given the information in the question is 8.98cm.
What is the radius of the balloon?The first step is to determine the volum of the balloon.
Volume = 81π cm^3 x 12 = 972π cm^3
Now, determine the radius using this formula:
∛[Volume / (4/3π )]
∛[972π cm^3/ (4/3π )] = 8.98cm
Here is the complete question:
Andy is blowing up a spherically shaped balloon. If he is able to blow 81π cm^3 of air with every breath, it takes him 12 breaths to fully inflate the balloon. What is the radius of the balloon?
To learn more about the volume of a sphere, please check: https://brainly.com/question/13705125
Hiroko is trying to find the value of d in 10d + 490 = 2,500. he starts by correctly rewriting the equation as 10(d + 49) = 10(250). How could this help Hiroko figure out the value of d?
Answers
Answer:
Hiroko removed common factors, which leads to smaller numbers, which can be easier to work with.
Step-by-step explanation:
However, this step is not entirely needed in the grand scheme of solving the problem. It simply uses smaller numbers to digest.
Do the opposite of PEMDAS when isolating the variable, d. Note the equal sign, what you do to one side of the equal sign, you do to the other.
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction.
First, subtract 490 from both sides of the equation:
10d + 490 (-490) = 2500 (-490)
10d = 2500 - 490
10d = 2010
Next, divide 10 from both sides of the equation:
(10d)/10 = (2010)/10
d = 2010/10
d = 201
201 is your value for d.
~
My sister needs help again quick
Answers
mistake: the storm trooper used the wrong order of solving the problem, you first do × and : and then + and -
correct answer:
6×7-16:4
= 42-4
= 38
express 0.23 (bar) in the form of p/q
Answers
Answer:
[tex]0.\overline{23}= \frac{23}{99}[/tex]
Step-by-step explanation:
Let [tex]x = 0.\overline{23}[/tex]....(1)
Multiply both sides by 100.
[tex]100x = 23.\overline{23}[/tex]....(2)
Subtracting equation (1) from equation (2)
[tex]100x -x= 23.\overline{23}-0.\overline{23}[/tex]
[tex]\implies 99x= 23[/tex]
[tex]\implies x= \frac{23}{99}[/tex]
[tex]\implies\huge{\orange{ 0.\overline{23}= \frac{23}{99}}}[/tex]
Vertical angles are always adjacent. True False
Answers
Answer:
False
Step-by-step explanation:
Vertical angles are not always adjacent, but they are always congruent.
Hope that helps!
Answer:
False
Step-by-step explanation:
Hope it will help you*
Someone please
help me I can’t solve this for the life of me!!!!
Answers
Answer:
I would think that It is the first one but if it is not trust the other people
Step-by-step explanation:
Aisha needs to be at least 48 inches tall to ride the colossal coaster at the amusement park. If she grows 5 inches during the next year, Aisha will still not be tall enough to ride. In the context of this situation, what does the inequality x less-than 43 represent?
PLS HURRY THX AND NO LINKS
Answers
Answer:
The inequality represents that height of Aisha is less than 48 inches.
Step-by-step explanation:
Aisha needs to be at least 48 inches tall to ride the colossal coaster at the amusement park.Let she is x inches tall at presentShe grows 5 inches during the next yearSo, Her height after 1 year = x+5 inchesSince we are given that Aisha will still not be tall enough to ride.Thus the inequality represents that height of Aisha is less than 48 inches.
An angle measures 46° less than the measure of its complementary angle. What is the measure of each angle?
Answers
Answer:
68 and 22 degrees
Step-by-step explanation:
Complimentary angles sum to 90
x + (x-46) = 90
2x = 90 + 46
2x = 136
x = 68 and the other is 68 - 46 = 22
Measia rode her bike 174 miles in six days, riding the same distance each day. Jamal rode his bike 135 miles in five
days, riding the same distance each day. Which of the following statements is true?
Answers
Answer:
6
Step-by-step explanation:
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