Answers
Answer:
[tex]2^{-98}[/tex]
Step-by-step explanation:
[tex](\frac{2^{-10} }{2^{4} } )^{7}[/tex]
[tex](2^{-14})^{7}[/tex]
[tex]2^{-98}[/tex]
Answer:
[tex]\boxed{\frac{1}{2^{98}} }[/tex]
Step-by-step explanation:
[tex](\frac{2^{-10}}{4^2} )^7[/tex]
=> [tex](\frac{2^{-10}}{2^{2(2)}} )^7[/tex]
=> [tex](\frac{2^{-10}}{2^4} )^7[/tex]
Using law of exponents [tex]a^m/a^n = a^{m-n}[/tex]
=> [tex](2^{-10-4})^7[/tex]
=> [tex](2^{-14})^7[/tex]
=> [tex]2^{-98}[/tex]
=> [tex]\frac{1}{2^{98}}[/tex]
Related Questions
Tonia and trinny are twins. Their friends give them identical cakes for their birthday. Tonia eats 1/8 of her cake and trinny eats 1/6 of her cake. How much cake is left? please show working thank youu
Answers
Answer:
[tex]\frac{7}{12}[/tex] of the cake
Step-by-step explanation:
add [tex]\frac{1}{8}[/tex] and [tex]\frac{1}{6}[/tex] to see the total amount of cake eaten.
a. find the common denominator: 8 x 3 = 24 and 6 x 4 = 24
b. multiply accordingly to get the correct numerator: [tex]\frac{3}{24}[/tex] + [tex]\frac{4}{24}[/tex]
c. add: [tex]\frac{3}{24}[/tex] + [tex]\frac{4}{24}[/tex] = [tex]\frac{7}{24}[/tex]
subtract found value from total to find left over cake.
a. 24 - 7 = 14
simplify.
a. [tex]\frac{14}{24}[/tex] = [tex]\frac{7}{12}[/tex]
You are left with [tex]\frac{7}{12}[/tex] of the cake.
Suppose that the market research department of a famous bakery has determined that the most aesthetically pleasing donut has a thickness that is twice the inner radius of the donut (that is, the radius of the donut’s hole). The formula for the inner radius of the donut is given by the equation , where V is the volume of the donut in cubic centimeters. Use the table of values to help you answer the questions about r(v). -30 -0.80 -20 -0.70 -10 -0.55 0 0 10 0.55 20 0.70 30 0.80
Answers
Answer:
The information given are;
[tex]r(V)=\sqrt[3]{\dfrac{V}{6\cdot \pi ^{2}}}[/tex]
Where;
r(V) = The radius of the doughnut (cm)
V = The volume of the doughnut (cm³)
The data are;
V, r(V)
-30, -0.8
-20, -0.7
-10, -0.55
0, 0
10, 0.55
20, 0.7
30, 0.8
From the table of values, the identified key features are;
a) There is a direct relationship between the radius and the volume of the doughnut
b) The correlation between the data increases to direct proportionality from the volume of 20 cm³ and above
c) The data values are symmetric and continuous about the y and x-axis
2) There is a direct linear relationship between radius, r and the volume V at end ends of the data between r and V where V = -30 and-20 at one end and 20 and 30 at the other end
b) The x and y-intercept are
The x -intercept = (0, 0)
The x -intercept = (0, 0)
c) The pivot point is the point about which change occurs, therefore, the pivot point is the (10, 0.55)
d) The domain is a member of the set of real numbers, R while the range is also a member of the set of real numbers, R
Step-by-step explanation:
find the prime factorization of 47
Answers
Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder.
The prime factorization of 47 is:
47 is a prime number.
The exponent of prime number 47 is 1.
Adding 1 to that exponent we get
(1 + 1) = 2.
Factors of 47: 1, 47.
Factor pairs: 47 = 1 x 47.
47 has no square factors that allow its square root to be simplified.
√47 ≈ 6.85565.
Hope this helps!!! :)
A city has a population of 220,000 people. Suppose that each year the population grows by 7.25%. What will the population be after 13 years?
Answers
Answer:
427,350
Step-by-step explanation:
so you do 7.25×13=94.25
and then you do 94.25%×220,000=207,350
So you can now do 207,250+220,000 (which) =427,350
A survey devices eyepiece is 6 feet off the ground. The device is placed 60 feet from a tree, the eyepiece must be elevated upwards at a 33 angle to see the top of the tree. How tall is the tree?
Answers
Greetings from Brasil...
Pure application of trigonometry - tangent
see the attachment
H = X + 6
and
TG 33 = X/60
X = 60.TG 33
X ≈ 39
H = X + 6
H = 39 + 6
H = 45Solve the inequality. 12x – 3x + 11 > 4x – (17 – 9x)
Answers
Answer:
20>4
Step-by-step explanation:
12-3 forget about the x 12-3=9 . 9+11=20
(17-9)=8 . 8-4 =4
so your answer is correct
Answer:Subtract 3x from 12x
9 x + 11 > 4 x − ( 17 − 9 x )
Simplify 4 x − ( 17 − 9 x ) .
9 x + 11 > 13 x − 17
Move all terms containing x to the left side of the inequality.
−4 x + 11 > − 17
Move all terms not containing x to the right side of the inequality.
− 4 x > − 28
Divide each term by − 4 and simplify
x < 7
Interval Notation:
( − ∞ , 7 )
The width of an arch is 1.4 m and the semicircle at the top begins at a height of 1.9 m. What is the minimum amount of material in square metres needed to cover the whole arch so you cannot see through it?
Answers
Answer:
The minimum amount of material in m^2 that will be needed to cover the whole arc will be 3.43 m^2
Step-by-step explanation:
This arc can be divide into two shape; a semi circle with a diameter of 1.9 m, and a rectangle with a width 1.9 m and a height of 1.4 m
For the semicircle, the area = [tex]\frac{\pi d^{2} }{4}[/tex] ÷ 2
where d is the diameter
==> [tex]\frac{3.142 * 1.4^{2} }{4}[/tex] ÷ 2
==> 1.539 ÷ 2 = 0.7695 m^2
For the rectangle, area = width x height
==> 1.4 x 1.9 = 2.66 m^2
Total area = 0.7695 + 2.66 = 3.43 m^2
This is the minimum amount of material that will be needed to cover the whole arc.
HELP!
Choose the slope and y-intercept that
correspond with the graph.
Answers
Answer:
The second answer
Step-by-step explanation:
Remember rise over run since this is a negative line go down 4 and over to the right 3. Now you found your slope which is -4/3. To find the y intercept simply look at the y axis and look at where the line passes through it
What is the image of N for a 300° counterclockwise rotation about the center of the regular hexagon? Will give brainiest only if answered correctly with explanation
Answers
Answer:
H
Step-by-step explanation:
here, the question says that the given regular hexagon needs to be rotated counter clockwise 300°, considering the edges labels, each movement from one edge to other is 60° as 360/6 =60.
focus on N and move on anti clockwise.
When N rotates anti clockwise about center from original to position G, is 60°,
when N moves on anti clockwise about center from original to position A is 120°.
similarly, to X is 180°, to E is 240° and to H is 300°.
so, the new position of N when rotated anti clockwise about origin of the hexagon will be at H.
which of the following figures has a length, width, and height? A,point B,rectangle C, triangular prism D, ray
Answers
Answer:
C) Triangular Prism
Need help with these last two questions, tysm if you do :D
Answers
Answer:
D.
A. x ≤ 1
Step-by-step explanation:
Well for the first question we need to simplify the inequality.
4x + 3 < x - 6
-x to both sides
3x + 3 < -6
-3 to both sides
3x < -9
Divide 3
x < -3
So if x is less than -3 than it goes to the left starting at -3.
So D. is the answer.
So to solve the floowing inequality we simplify, distribute, and combine like terms.
3(2x - 5) + 3 ≤ -2(x + 2)
6x - 15 + 3 ≤ -2x -4
6x -12 ≤ -2x - 4
8x - 12 ≤ -4
+12
8x ≤ 8
8/8
x ≤ 1
Hence the answer is A. x ≤ 1
(PLEASE HELP) Match each hypotenuse length with the leg lengths that will create a right triangle.
Answers
Answer:
Step-by-step explanation:
(√2)^2 + (√5)^2 =
2 + 5 = 7
But that equals the hypotenuse squared. The actual value will be √7
======================
(√3)^2 + 4^2 =
3 + 16
19 But this equals the hypotenuse squared, so the answer is actually (√19 ) which isn't there. It might be a right triangle, but none of the answers match this one.
===========================
2^2 + (√5)^2 = 4 + 5 = 9
This is the square of the hypotenuse. √9 = 3 which is the last one.
===========================
(2)^2 + (2)^2 = 4 + 4 = 8
But the hypotenuse will be √8
==========================
1^2 + 2^2 = 1 + 4 = 5
The hypotenuse is √5
Answer:
√8 ==> 2 units, 2 units
√7 ==> √5 units, √2 units
√5 ==> 1 unit, 2 units
3 ==> >2 units, √5 units
Step-by-step explanation:
In the right triangle shown, DF=EF=3DF=EF=3D, F, equals, E, F, equals, 3.
How long is DEDED, E?
Choose 1 answer:
Answers
Answer:
DE = 4.24
Step-by-step explanation:
The diagram is not shown; However, the question can still be solved without the diagram.
Having said that,.
Given that
DF = EF = 3
This implies that DE is the hypothenus and will be solved using Pythagoras theorem.
DE² = EF² + DF²
Substitute 3 for EF and DF
DE² = 3² + 3²
DE² = 9 + 9
DE² = 18
Take Square Root of both sides
DE = √18
DE = 4.242640687119285
DE = 4.24 (Approximated)
Beth says that the graph of g(x)=x-5+1 is a
Translation of 5 units to the left and 1 unit up of
F(x)=x
She continues to explain that the point (0,0) on the square root function would be translated to the point (-5,1) on the graph of g(x) is Beths description of the transformation correct? Explain
Answers
Answer: No.
Step-by-step explanation:
The graph of g(x) = x - 5 + 1 is a Translation of 5 units to the right not to the left and 1 unit up of F(x) = x
the point (0,0) on the square root function would be translated at the same value which will be to the point (5,1) on the graph of g(x)
Beths description of the transformation is therefore incorrect.
Answer:
No, Beth is not correct. The function g(x) has an h value of 5 and a k value of 1. This would be a horizontal translation of the square root function of 5 units to the right, rather than the left. Beth was correct about the vertical translation of the square root function of 1 unit up. The point (0, 0) from the square root function would be translated to the point (5, 1) on the graph of g(x).
Step-by-step explanation:
This came right from Edg
Find the 12th term of the arithmetic sequence whose common difference is d=6 and whose first term is a, = 2.
Answers
Answer:
The 12th term is 68Step-by-step explanation:
Since the sequence is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)d
where a is the first term
n is the number of terms
d is the common difference
From the question
d = 6
a = 2
n = 12
So the 12th term of the sequence is
A(12) = 2 + (12-1)6
= 2 + 11(6)
= 2 + 66
A(12) = 68Hope this helps you
Andrew is about to leave for school. If he walks at a speed of 50 meters per minute, he will arrive 3 minutes after the bell rings. If he runs at a speed of 80 meters per minute, he will arrive 3 minutes before the bell rings. In how many minutes will the bell ring?
Answers
Answer:
The answer is: 13 minutes
Step-by-step explanation:
First Let us form equations with the statements in the two scenario
[tex]time=\frac{distance}{speed}[/tex]
Let the time in which the bell rings be 'x'
1. If Andrew walks (50 meters/minute), he arrives 3 minutes after the bell rings. Therefore the time of arrival at this speed = (3 + x) minutes
[tex]3 + x =\frac{distance}{50}\\distance = 50(3+x) - - - - - (1)[/tex]
2. If Andrew runs (80 meters/minute), he arrives 3 minutes before the bell rings. Therefore the time taken to travel the distance = (x - 3) minutes
[tex]x - 3 = \frac{distance}{80} \\distance = 80(x-3) - - - - - (2)[/tex]
In both cases, the same distance is travelled, therefore, equation (1) = equation (2)
[tex]50(3+x)=80(x-3)[/tex]
[tex]150 +50x=80x-240\\[/tex]
Next, collecting like terms:
[tex]150 + 240 = 80x - 50x\\390 = 30x\\30x = 390\\[/tex]
dividing both sides by 3:
x = 390÷30 = 13
∴ x = 13 minutes
Which of the following is not a rigid motion transformation?
Answers
Answer:
D. Stretch
Step-by-step explanation:
All the others keep the same dimensions
The one which is not a rigid motion transformation is D. Stretch.
What is Geometric Transformation?Transformation of geometrical figures or points is the manipulation of a given figure to some other way.
Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.
Rigid motion transformation is the transformation which is formed when a point or a shape is transformed such that the size or the shape of the original object does not change.
In rotation, translation and reflection, there is no change in the size or the shape.
But in dilation, the size becomes smaller or larger based on it is enlargement or stretch.
So stretch is not a rigid motion transformation.
Hence option D is the correct answer.
Learn more about Rigid Motion Transformation here :
https://brainly.com/question/1408127
#SPJ7
Factorise each expression.
Answers
Answer:
Multiple Answers
Step-by-step explanation:
A) c^2+4c
(c+2c)^2
We just needed to see the sqrt of the terms
d) No perfect sqrt, so this is a coomon factor problem
3m(m+1)
g) Another common factor problem
3x(2x+1)
j) another common factor problem
3y(9y-5)
Answer:
a- c²+4c
c(c+4)
d- 3m²+3m
3m(m+1)
g- 6x²+3x
3x(2x+1)
j- 27y²-15y
3y(9y-5)
Help!! I WILL GIVE BRAINLIEST I NEED HELPPPPPPPPPPPPPPPPPPP PLEASE PLEASE PLEASE PLEASEEEEEEEEEEEEE IM DEADD I REALLY NEED HELP ASAP ITS URGENT
Answers
Answer:
arc axb=4.938
Step-by-step explanation:
to find the measure of arc AXB find angle P first
length of the arc=rФ
in triangle APQ sin angle APQ= opp/hyp=AQ(radius)/PQ=5/√5+√21
in traingle PQB sin angle BPQ= opp/hyp.=5/√5+√21
angle P"
2arcsin 5/√5+√21= 94.324 degrees=(π*94.324)/180=1.64626 rad.
arc AXB=Фr (Ф=94.324 , r=3)
arc axb=4.938
Can y’all solve this for me???
Answers
Answer:
1/4PI I GOT IT RIGHT ON KHAN ACADEMY
Step-by-step explanation:
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
Answer:
[tex]\boxed{\frac{1}{2}\pi}[/tex]
Step-by-step explanation:
Use length of arc formula.
[tex]\frac{\theta }{360} \times2 \pi r[/tex]
The radius is 1 unit.
θ = 90°
[tex]\frac{90}{360} \times 2\pi (1)[/tex]
[tex]\frac{1}{4} \times 2\pi[/tex]
[tex]\frac{1}{2} \times\pi[/tex]
Solve for r in the following equation: 2 (3+x) = 3r-4
A. 7/3
B. 5
C. 7
D. 10
Answers
Answer:
7/3 is the answer.
Hope this helps.....
Have a nice day!!!!
Carrie works 40 hours a week spend 15% her tome in the register 30% her time greeting customers remainder of her time I'm maintenance what % is her time spent in maintenance
Answers
Answer:
[tex]Maintenance = 55\%[/tex]
Step-by-step explanation:
Given
[tex]Time = 40\ hours[/tex]
[tex]Register = 15\%[/tex]
[tex]Greetings = 30\%[/tex]
Required
Percentage of time spent in maintenance;
From the given parameters,She spends the rest of her time in maintenance;
This implies that
[tex]Register + Greetings + Maintenance= 100\%[/tex]
Substitute 15% for Register and 30% for Greetings
[tex]15\% + 30\% + Maintenance= 100\%[/tex]
[tex]45\% + Maintenance= 100\%[/tex]
Subtract both sides by 45%
[tex]45\% - 45\% + Maintenance = 100\% - 45%[/tex]
[tex]Maintenance = 100\% - 45%[/tex]
[tex]Maintenance = 55\%[/tex]
Hence, the percentage of time spent in Maintenance is 55%
¿que son los cuadriláteros?
Answers
Answer:
Cuadrilátero solo significa "cuatro lados" (quad significa cuatro, lateral significa lado). Un cuadrilátero tiene cuatro lados, es bidimensional (una forma plana), cerrado (las líneas se unen) y tiene lados rectos.
Un cuadrilátero es un polígono con cuatro aristas y cuatro vértices.
Step-by-step explanation:
The two square pyramids are similar. The side length of the smaller pyramid is the side length of the larger pyramid.
Which fraction represents the ratio of the base area of the smaller pyramid to the base area of the larger pyramid?
Answers
Answer:
9/16
see explanation below
Step-by-step explanation:
This question is lacking figures. But it is easy to solve question asking for the ratio of the areas of a shape when the shapes are similar.
When shapes are similar, the ratio of their corresponding sides are equal.
whilst the ratio of the area of similar shapes is equal to the square of the ratio of their corresponding sides.
In other words, if the corresponding sides are a and b respectively, the ratio of their sides = a/b
and the ratio of the areas of the shape = (a/b)²
Assumption: Now if the side length of the smaller pyramid is 3/4(the side length of the larger pyramid)
let length larger pyramid = x
length of smaller pyramid = 3/4 x
their ratio (small/big) = (3x/4)/x = 3/4
ratio of their areas = (3/4)²
the ratio of base area of the smaller pyramid to the base area of the larger pyramid = 9/16
Answer:
A.) 9/16
Step-by-step explanation:
Have a great day, and take mental health breaks! You are loved :)
Give the digits in the tens place and the tenths place.
12.05
Answers
The digit in the tenths place is 0.
The principal feature of the redesigned checks is a series of printed instructions that the company hopes will help merchants confirm a check’s authenticity, which includes reminders to watch the endorsement, compare signatures, and view the watermark while holding the check to the light.
(A) which includes reminders to watch the endorsement, compare signatures, and view
(B) which include reminders for watching the endorsement, to compare signatures and view
(C) by including reminders for watching the endorsement, comparing signatures, and viewing
(D) including reminders to watch the endorsement, comparing signatures and viewing
(E) including reminders to watch the endorsement, compare signatures, and view
Answers
Answer:
(E) including reminders to watch the endorsement, compare signatures, and view
Step-by-step explanation:
The principle features that will help the company to confirms checks authenticity. It include endorsements and compare the signatures with the designated signatories. If the signatures are matched correctly with the assigned signatories the check is hold in light to view the watermark on it.
identify the coefficient of X
1. 2x
2. -5x
3. 49x
4. -6x²
5. 3xy²
Answers
Answer:
2
-5
49
-6
3
Step-by-step explanation:
Coefficient is a number, value or item that serves as a measure of some property or characteristic.
or in other words a number that is added in front of a term.
Hope this helps ;) ❤❤❤
What is the value of y? Answer asap
Answers
Answer:
y=3
Step-by-step explanation:
10=2y+4
10-4=2y
6=2y
3=y
HURRY PLEASE!!!
In circle Y, what is the measure of arc TU?
59°
67°
71°
118°
Answers
Answer:
71°
Step-by-step explanation:
m∠1 = (SR + TU)/2
m∠1 = 63°
SR = 55°
substitute into the equation
63° =(55° - TU) / 2
TU = (63° * 2) - 55°
TU = 71°
The angle measurements in the diagram are represented by the following expressions
Answers
angle A = angle B corresponding angles
8x - 8 = 5x + 25
3x = 33
x = 11
angle B
5x + 25
55 + 25
80°