how do i simplify this: (8 2/3)^4
Answers
Answer:
5641 55/81
Step-by-step explanation:
you can simplify the equation by removing the parenthesis.
this means that you also have to solve the ^4 part.
this would be
5641 55/81
I know that this is a large number but that is what happens when you do ^4.
Related Questions
please help me with the question
Answers
1 = 100
1.4 = 140
Solution: 140%
The answer is 140%
1.4 x 100 = 140%
what is the unit rate of 11.70 and 15
Answers
A cylinder with a radius of 4 units and a rectangular prism have equal heights, and every plane parallel to the bases intersects both solids in cross-sections of equal area.
A cylinder with a radius of 4 units and a rectangular prism have equal heights.
A rectangular cross section with a length of 8 units is marked on the prism, parallel to the base.
If the length of a rectangular cross-section of the prism is 8 units, then the width of a rectangular cross-section of the prism is
units. Write your answer in terms of π .
Answers
The width of the rectangular cross-section of the prism is; 2π units.
Area of a circle and RectangleFrom the task content;
By observation, it follows that the area of a cross section of the cylinder is equal to the area of the cross-section of the rectangular prism.From the problem statement above; it follows that;
πr² = l×w.On this note;
(π) × 4² = 8 × ww = (16× π)/8width, w = 2π units
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30 POINTS PLS I NEED HELP
What is the area of the shaded region?
_______ square units
Hint! Your answer is a binomial.
Answers
Answer: 16 + 8x
Step-by-step explanation:
The area of the entire shape is (4+x) times (4+x), while the white region is (x * x).
Subtracting the white region from the entire shape gives us the area of the shaded region
(4+x)^2 - x^2
16 + 8x + x^2 - x^2 = 16 + 8x
You have 272 feet of fencing to enclose a rectangular region. What is the maximum area of the region?
Answers
Answer:
the maxium is 4624sq ft for the area
Step-by-step explanation:
A rectangle is a quadrilateral in which all the angles are equal and the opposite sides are equal and parallel.
The maximum area of the rectangular region is 4624 square feet.
What is a rectangle?A rectangle is a quadrilateral in which all the angles are equal and the opposite sides are equal and parallel.
We have,
Length of fencing to enclose the rectangular region:
= 272 feet
The perimeter of a rectangle:
P = 2 (Length + width)
272 = 2 ( length + width )
length + width = 136
length = 136 - width ____(1)
The area of a rectangle:
A = Length x width
From (1)
A = ( 136 - width ) x width
[ Width = W ]
A = 136W - W² ______(2)
To find the maximum area we will differentiate A and put A' = 0.
A' = 0
136 - 2W = 0
136 = 2W
W = 136 / 2
W = 68 ____(3)
Now,
The maximum area:
Putting (3) in (2)
A = 136 x 68 - 68²
A = 9248 - 4624
A = 4624 square feet
Thus the maximum area of the rectangular region is 4624 square feet.
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Guys help!!
Slope of one of the dotted lines:
Slope of the line of reflection:
Answers
Line of Reflection: -2
Work out the following without using a calculator
11101010 base 2 + 2122 base 8 + ABC base 16 - 123 base 8, Give your answer in decimal
Answers
Answer:
Step-by-step explanation:
To work out the given expression without a calculator, we need to convert the numbers from their respective bases to decimal form and then perform the arithmetic operations. Let's break it down step by step:
11101010 base 2: To convert a binary number to decimal, we multiply each digit by the corresponding power of 2 and sum the results. So, let's calculate:
1 * 2^7 + 1 * 2^6 + 1 * 2^5 + 0 * 2^4 + 1 * 2^3 + 0 * 2^2 + 1 * 2^1 + 0 * 2^0 = 234.
2122 base 8: To convert an octal number to decimal, we multiply each digit by the corresponding power of 8 and sum the results. Let's calculate:
2 * 8^3 + 1 * 8^2 + 2 * 8^1 + 2 * 8^0 = 1090.
ABC base 16: To convert a hexadecimal number to decimal, we multiply each digit by the corresponding power of 16 and sum the results. Let's calculate:
10 * 16^2 + 11 * 16^1 + 12 * 16^0 = 2748.
123 base 8: We already know that 123 is in base 8 (octal), so we can directly convert it to decimal:
1 * 8^2 + 2 * 8^1 + 3 * 8^0 = 83.
Now, let's perform the arithmetic operations:
234 + 1090 + 2748 - 83 = 3989.
Therefore, the result of the given expression in decimal form is 3989.
A ship is anchored off a long straight shoreline that runs north and south. From two observation points
miles apart on shore, the bearings of the ship are
and
. What is the distance from the ship to each of the observation points? Round each answer to the nearest tenth of a mile.
The distance from the north most ship to the observation is
miles.
The distance from the south most ship to the observation is
miles.
Answers
The distance from the north most ship to the observation is 2.9 miles and the distance from the south most ship to the observation is 9.9 miles.
The bearing is defined as the angle measured clockwise from the north direction. A ship is anchored off a long straight shoreline that runs north and south.
From two observation points miles apart on shore, the bearings of the ship are 52 degrees and 134 degrees respectively. To find the distance from the ship to each of the observation points, we can use trigonometry.
Let's call the distance from the north observation point to the ship x, and the distance from the south observation point to the ship y. The bearings from the north and south observation points can be drawn as follows:
[asy]
unitsize(1cm);
pair O = (0,0), N = (-2,0), S = (2,0), A = (-2,1), B = (2,-1);
draw(O--N--A,Arrow);
draw(O--S--B,Arrow);
\(label("$52^\circ$", N + 0.3*dir(52), NE);\)
\(label("$134^\circ$", S + 0.3*dir(134), SE);\)
draw(O--A--B--cycle,dashed);
\(label("$x$", (N+A)/2, W);\)
\(label("$y$", (S+B)/2, E);\)
[/asy]
We can use the tangent function to find x and y, since we have the angle and opposite side.
From the north observation point, we have:
\($$\tan(52^\circ) = \frac{x}{2}$$$$x = 2\tan(52^\circ) \approx 2.95$$\)
From the south observation point, we have:
\($$\tan(134^\circ) = \frac{y}{2}$$$$y = 2\tan(134^\circ) \approx 9.88$$\)
Therefore, the distance from the north most ship to the observation is 2.9 miles and the distance from the south most ship to the observation is 9.9 miles.
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Find an angle between 0 and 360 that is coterminal with -60.
Answers
The angle which is coterminal with -60 between 0 and 360 is; 300°.
Which angle is coterminal with -60?Since, it follows that the representation of the angle -60 corresponds to 60° span in the clockwise direction.
Therefore, by going the conventional anticlockwise direction, the angle which is coterminal with -60 is; 300°.
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Calculate the Number of Hours Worked in a week if: Monday 8:00 am to 12:30pm and 1:15 pm to 5:00 pm. Tuesday 7:30 am to 12:30 pm and 1:00 pm to 5:30pm. Wednesday 8:15 am to 12:45 pm and 1:45 pm to 5:00 pm. Thursday 5:00 pmto 9:30 pm and 10:15 pm to 2:00 am. Friday 8:00 am to 11:45 am and 12:30 pm to4:45 pm.
Answers
Monday:
\(12\colon30-8\colon00=4.5h\)\(5\colon00-1\colon15=3.75h\)Tuesday:
\(\begin{gathered} 12.30-7\colon30=5h \\ 5\colon30-1\colon00=4.5h \end{gathered}\)Wednesday:
\(\begin{gathered} 12\colon45-8\colon15=4.5h \\ 5\colon00-1\colon45=3.25h \end{gathered}\)Thursday:
\(\begin{gathered} 9\colon30-5\colon00=4.5h \\ 2\colon00-10\colon15=3.75h \end{gathered}\)Friday:
\(\begin{gathered} 11\colon45-8\colon00=3.75h \\ 4\colon45-12\colon30=4.25h \end{gathered}\)Total:
\(\begin{gathered} T=4.5+3.75+5+4.5+4.5+3.25+4.5+3.75+3.75+4.25 \\ T=41.75h \end{gathered}\)2. Which of the following epxressions is a monomial?
a.
3.4x
b. 9-3(5x)+13a
c. 5(2x+l+y)
d. 2a+5(4x)
Answers
Answer:
a.3.4x
Step-by-step explanation:
A monomial only had one term
mono is the prefix for one
Solve the system
x-y+z=-2
4x-y+2z=-3
2x-3y+2z=-7
Answers
z = 22
y = 11
Select the correct answer.
Which sentence correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14?
68% of the data points lie between 10 and 14.
68% of the data points lie between 8 and 12.
68% of the data points lie between 10 and 18.
68% of the data points lie between 10 and 16.
Answers
Answer:
68% of the data points lie between 10 and 18.
Step-by-step explanation:
one standard deviation to left of mean = 14 - 4 =10
one standard deviation to right of mean = 14 + 4 = 18
68% of data is in this region.
so the answer is 68% of the data points lie between 10 and 18.
Which statement describes volume?
A) measures the space inside in cubic units
B) measures the space inside in square units
C) measures the outside surface in cubic units
D) measures the outside surface in square units
Answers
Answer:
A) measures the space inside in cubic units
Step-by-step explanation:
A movie theater can seat a maximum of 25 people. Let p represent the total number of people. Which inequality represents p, the number of people the theater can seat?
Answers
The inequality that represents p, the number of people the theater can seat is p ≤ 25
Which inequality represents p, the number of people the theater can seat?From the question, we have the following parameters that can be used in our computation:
A movie theater can seat a maximum of 25 people
This means that
Maximum = 25 people
In other words, the movie theatre can allow 25 or less people to attend a movie
In inequality, 25 or less means less than or equal to 25
When represented as an inequality expression, we have
≤ 25
Using the variable p, we have
p ≤ 25
Hence, the inequality is p ≤ 25
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Given z, find |z|.
z=-2-6i
Answers
\( \Large{\boxed{\sf | \sf z| = \sf \sqrt{40} = 2\sqrt{10} }} \)
\( \\ \)
Explanation:We are given a complex number in algebraic form, and we would like to find its modulus, |z|.
\( \\ \\ \)
Modulus of a complex number\( \\ \\ \)
Let's recall that a complex number in algebraic form is written as \( \sf z = a + ib \) , where a is its real part and b is its imaginary part.
\( \\ \)
The modulus of said complex number is calculated as follows:
\( \sf | \sf z| = \sqrt{a^2 + b^2} \)
\( \\ \)
\( \hrulefill \)
\( \\ \)
Let's identify our values:
\( \sf z = -2 - 6i \Longleftrightarrow z = \underbrace{\sf -2}_{\sf a} + (\underbrace{\sf -6}_{\sf b})i \)
\( \\ \)
Now, substitute these values into our formula:
\( \sf | \sf z | = \sqrt{(-2)^2 + (-6)^2} = \sqrt{4 + 36} = \boxed{\sf \sqrt{40}} \)
\( \\ \)
While this may be optional, the result can be simplified by using the following property:
\(\green{\begin{gathered}\begin{gathered} \\ \boxed { \begin{array}{c c} \\ \blue{ \star \: \sf{\boxed{ \sf Product \: rule \: of \: square \: roots\text{:}}}} \\ \\ \sf{ \diamond \: \sqrt{ab} = \sqrt{a} \times \sqrt{b} } \\ \end{array}}\\\end{gathered} \end{gathered}}\)
\( \\ \)
\( \sf \sqrt{40} = \sqrt{4 \cdot 10} = \sqrt{4} \cdot \sqrt{10} = \boxed{\boxed{\sf 2\sqrt{10}}} \)
\( \\ \)
\( \hrulefill \)
\( \\ \)
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Marcus bought t moive posters for $6 each write an algebraic expression for total amount Marcus spent
Answers
Answer:
The answer to this problem is just 6t.
The volume of the cone is 162 yd³. What
is the radius of the cone?
Answers
The radius of the cone is 9 yd.
We have,
Volume of Cone= 162π yd³
Height of Cone= 6 yd
Using the formula
Volume of Cone= 1/3πr²h
162π = 1/3πr² (6)
162 = 2r²
r² = 81
r= √81
r= 9 yd
Thus, the radius is 9 yd.
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In which number is the digit 4 ten times larger than in the number 384?
O 842
O 954
O 1,469
O 4,216
Answers
The number 842 is the number whose digit 4 is ten times larger than in the number 384
Finding the numberTo solve the problem, we need to find a number in which the digit 4 is ten times larger than in the number 384.
In the number 384, the digit 4 is in the ones place, which means that its value is 4.
To find a number in which the digit 4 is ten times larger, we need to find a number in which the digit 4 is in the tens place and its value is 10 times larger than 4, which is 40.
The only answer option that fits this description is 842. In this number, the digit 4 is in the tens place and its value is 40, which is ten times larger than its value in the number 384.
Therefore, the correct answer is 842.
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Show your work please help me it’s due tomorrow!!!!
Answers
Answer: Consider me the brainiest. The answer is... Decimal form =4.083
Exact form= 49/12
The mixed number form=4 1/12
How do we solve fractions step by step?
Conversion a mixed number 2 1/3 to a improper fraction: 2 1/3 = 2 1/3 = 2 3 + 1/3 = 6 + 1/3 = 7/3
To find a new numerator
A; Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/3 = 6/3
b) Add the answer from the previous step 6 to the numerator 1. The new numerator is 6 + 1 = 7
c) Write a previous answer (new numerator 7) over the denominator 3.
Two and one-third are seven-thirds.
Conversion a mixed number 1 3/4 to a improper fraction: 1 3/4 = 1 3/4 = 1 · 4 + 3/4 = 4 + 3/4 = 7/4
To find a new numerator:
a) Multiply the whole number 1 by the denominator 4. Whole number 1 equally 1 * 4/4 = 4/4
b) Add the answer from the previous step 4 to the numerator 3. The new numerator is 4 + 3 = 7
c) Write a previous answer (new numerator 7) over the denominator 4. One and three quarters are seven quarters.
Add: 7/3 + 7/4 = 7 · 4/3 · 4 + 7 · 3/4 · 3 = 28/12 + 21/12 = 28 + 21/12 = 49/12 It
is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions. The common denominator you can calculate as the least common multiple of both denominators - LCM(3, 4) = 12. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 4 = 12. In the following intermediate step, it cannot further simplify the fraction result by cancelling. In other words - seven thirds plus seven quarters is forty-nine twelfths.
15^7 ÷ 15^4 is equal to _____.
15^11
15 7/4
1
15^3
Answers
Answer:
15³
Step-by-step explanation:
\( \sf \frac{ {15}^{7} }{ {15}^{4} } \)
\( = \sf \frac{15 \times 15 \times 15 \times 15 \times 15 \times 15 \times 15}{15 \times 15 \times 15 \times 15} \)
\( = \sf \frac{ \sout{15} \times \sout {15} \times \sout{15} \times \sout{15} \times 15 \times 15 \times 15}{ \sout{15} \times \sout {15} \times \sout{15} \times \sout{15 } }\)
\( = \sf \: 15 \times 15 \times 15\)
\( \sf \: = {15}^{3} \)
what is angle 1 in the picture called
Answers
Answer:
obtuse, right, acute
Step-by-step explanation:
OBTUSE is an angle greater than 90
RIGHT the angle is 90
ACUTE is an angle that is less than 90
Help me fast, please
Answers
Answer:
A, B, and E. Hope this helps!
Find the coordinates of the vertices of each image
2. T(-1,2) Rx-axis (QRST)
3.Ry-Axis r(180,O) (QRST)
4.r(90,O) T(-2,-3) (QRST)
5. (Ry-axis T(3,0)(QRST)
Answers
Answer:
Step-by-step explanation:
I'm ASSUMING that T means to translate by the ordered pair in (x, y) coordinates, and r means to rotate by the ordered pair (degrees, center of rotation) or mirrored about the given axis
2. T(-1,2) Rx-axis (QRST)
Q (1, 4) translates to (1 - 1, 4 + 2) = (0, 6) then mirrors to (0, -6)
R (3, -1) translates to (3 - 1, -1 + 2) = (2, 1) then mirrors to (2, -1)
S (0, 0) translates to (0 - 1, 0 + 2) = (-1, 2) then mirrors to (-1, -2)
T (-2, 2) translates to (-2 - 1, 2 + 2) = (-3, 4) then mirrors to (-3,-4)
3.Ry-Axis r(180,O) (QRST)
Q (1, 4) mirrors to (-1, 4) rotates to (1, -4)
R (3, -1) mirrors to (-3, -1) rotates to (3, 1)
S (0, 0) mirrors to (0, 0) rotates to (0, 0)
T (-2, 2) mirrors to (2, 2) rotates to (-2, -2)
4.r(90,O) T(-2,-3) (QRST)
Q (1, 4) rotates to (-4, 1) translates to (-6, -2)
R (3, -1) rotates to (1, 3) translates to (-1, 0)
S (0, 0) rotates to (0, 0) translates to (-2, -3)
T (-2, 2) rotates to (-2, -2) translates to (-4, -5)
5. (Ry-axis T(3,0)(QRST)
Q (1, 4) mirrors to (-1, 4) translates to (2, 4)
R (3, -1) mirrors to (-3, -1) translates to (0, -1)
S (0, 0) mirrors to (0, 0) translates to (3, 0)
T (-2, 2) mirrors to (2, 2) translates to (5, 2)
Answer:
There correct
Step-by-step explanation:
find the line in this picture
i need this ASAP!!!!!!!
pls
Answers
Answer:
Step-by-step explanation:
BL
Answer:
the answer is line cf.............
The new Nintendo game costs $70. The sales tax was 5%, what was the total cost?
Answers
Answer:
$66.50.
Step-by-step explanation:
Is 12.8 greater than 12.815?
Answers
Answer:
No,
12.8 = 12.800
Obviously, 12.800 < 12.815.
\( \infty \infty \)
Answer:
\(12.8 < 12.815 \: \\ with \: a \:range \: of \: 0.015\)
Carla is following a recipe that calls for a cinnamon-sugar mixture that is 5% cinnamon.
If she places 2 grams of cinnamon in a bowl, which equation will help her find how many grams of sugar to add to the bowl?
Answers
Answer:
Step-by-step explanation:
It's a proportion rather than an equation that you might be more accustomed to.
2/0.05 = x/ 0.95 Cross multiply
2 * 0.95 = x * 0.05 Divide by 0.05
2 * 0.95/0.05 = x
x = 38 grams of sugar should be added to the 2 grams of cinnamon.
There's another way to do it.
2/0.05 = (x + 2)/1 Cross multiply
2*1 = 0.05x + 0.1 Subtract 0.1 from both sides
1.9 = 0.05x
1.9/0.05 = x
x = 38
Which ever way you understand better is the answer. 100 / 100% is 1
It costs $1,563.31 to rent a building for 3 hours. What is the hourly rate?
Answers
Hope this helped
Answer:
the answer is $521.10 per hour
Step-by-step explanat
if you want the unrounded answer its $521.103333
enter the number to complete the linear combination.after substitution:gcd(85, 51) yields sequence: 85 51 34 17 0
Answers
The Greatest Common Divisor (GCD) of 85 and 51 is 17.
Greatest Common Divisor(GCD)The greatest common factor that divides two or more numbers is known as the greatest common divisor (GCD). The highest common factor is another name for it (HCF).
Explanation
Step 1: Divide 85 by 51. The quotient is 1 and the remainder is 34.
Step 2: Divide 51 by 34. The quotient is 1 and the remainder is 17.
Step 3: Divide 34 by 17. The quotient is 2 and the remainder is 0.
Step 4: Since the remainder is 0, the Greatest Common Divisor (GCD) of 85 and 51 is 17.
The GCD of 85 and 51 is 17.
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