Simplify (3^2)^8 ??? Need help please.
Answers
Answer:
3^16
Step-by-step explanation:
See The image below for steps:)
Answer:
3^16
Step-by-step explanation:
Simply follow the laws of exponents and multiply the exponents.
3^16
Related Questions
Find the sum of 3 Consecutive numbers if their mean is 24
Answers
Answer:
Step-by-step explanation:
Let the sum = x
x/3 = 24
x/3 * 3 = 24 * 3
x = 72
The sum of the three numbers is 72
Karen owns a seafood restaurant. She orders trout from an online retailer
Each pound of trout costs $30, and the company charges a $2 fee for
shipping the order. However, if Karen orders 10 or more pounds, the trout
costs only $24 per pound, but the shipping fee is $6.
Which piecewise function models the cost of x pounds of trout?
30x + 2, 0 < x < 10
24x + 6, I > 10
24x + 6, 0 < x < 10
30.2 + 2, 3 > 10
O A. f(x) = {
O B. f(x) = {
O c. f(x) = {
O D. f(x) = {
{
24x + 6, 0 < x < 10
30.3 + 2, > 10
30x + 2,0 < X < 10
24x + 6, x > 10
Answers
Answer:
Step-by-step explanation:
In this problem we are required to provide the expression for the two scenarios highlighted
The first scenario is
"Each pound of trout costs $30, and the company charges a $2 fee for
shipping the order"
The expression for the above scenario is given as
30x + 2, 0 < x < 10
The second scenario is
"if Karen orders 10 or more pounds, the trout costs only $24 per pound, but the shipping fee is $6."
The expression for the second scenario is
24x + 6, x > 10
Which set of numbers can represent the side lengths, in centimeters, of a right triangle?
Answers
A set of numbers that can represent the side lengths, in centimeters, of a right triangle is any set that satisfies the Pythagorean theorem, where the square of the hypotenuse's length is equal to the sum of the squares of the other two sides.
A right triangle is a type of triangle that contains a 90-degree angle. According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Let's consider a set of numbers that could represent the side lengths of a right triangle in centimeters.
One possible set could be 3 cm, 4 cm, and 5 cm.
To verify if this set forms a right triangle, we can apply the Pythagorean theorem.
Squaring the length of the shortest side, 3 cm, gives us 9. Squaring the length of the other side, 4 cm, gives us 16.
Adding these two values together gives us 25.
Finally, squaring the length of the hypotenuse, 5 cm, also gives us 25. Since both values are equal, this set of side lengths satisfies the Pythagorean theorem, and hence forms a right triangle.
It's worth mentioning that the set of side lengths forming a right triangle is not limited to just 3 cm, 4 cm, and 5 cm.
There are infinitely many such sets that can be generated by using different combinations of positive integers that satisfy the Pythagorean theorem.
These sets are known as Pythagorean triples.
Some other examples include 5 cm, 12 cm, and 13 cm, or 8 cm, 15 cm, and 17 cm.
In summary, a right triangle can have various sets of side lengths in centimeters, as long as they satisfy the Pythagorean theorem, where the square of the hypotenuse's length is equal to the sum of the squares of the other two sides.
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simplify the expression (b+3)+(2b-2)
Answers
Answer:
if you meant (b+3)+(2^b-2), the answer is b+1+2^b
Step-by-step explanation:
but if you meant (b+3)+(2b-2), the aanswer is 3b+1
Answer:
3b+1
Step-by-step explanation:
(b+3)+(2b-2)
b+3+2b-2
3-2
b+1+2b
b+2b
3b+1
Function h gives the height of a tennis ball, in feet, t seconds after it is tossed straight up in the air. The equation h(t) = -16t2 +12t+10 defines function h
Answers
See picture attached
HELP ITS DUE TODAY!
A baker is baking a giant cookie in the shape of a equilateral triangle what is the area of the cookie if the base is 17 inches and the height is 10 inches
Answers
To find the length of one of the sides, we can use the Pythagorean theorem. Since this is an equilateral triangle, all sides are equal in length. Let's call the length of one side "x". We know that the height (which is also one of the sides) is 10 inches, so we can set up a right triangle with one leg being x/2 (half of one side) and the other leg being 10 inches. The hypotenuse (the other side of the equilateral triangle) is x.
Using the Pythagorean theorem:
(x/2)^2 + 10^2 = x^2
x^2/4 + 100 = x^2
100 = 3x^2/4
400/3 = x^2
x = sqrt(400/3)
Now that we know the length of one side, we can plug it into the formula for area:
A = (sqrt(3)/4) x (sqrt(400/3))^2
A = (sqrt(3)/4) x (400/3)
A = 100sqrt(3)/3
Therefore, the area of the giant cookie in the shape of an equilateral triangle with a base of 17 inches and a height of 10 inches is approximately 57.74 square inches.
Answer:
85 square inches.
Step-by-step explanation:
The area of a triangle can be found by the formula \(1/2bh\), assuming b is the base and h is the height.
If b is 17 inches and h is 10 inches:
\(1/2(17)(10)\)
\(1/2(170)\)
\(A = 85\)
Therefore, the area is 85 square inches.
Find the missing angles
Answers
Answer:
angle 1 is 45 degrees
Step-by-step explanation:
all triangles are equal to 180 degrees
59+76 + x = 180
x =45
Miguel rented a truck for one day. There was a base fee of $20.95, and there was an additional charge of 83 cents for each mile driven. Miguel had to pay $231.77 when he returned the truck. For how many miles did he drive the truck?
Answers
Answer:
254 miles
Step-by-step explanation:
An Archie misses 60% of her shots, how many shots must she make before she gets 50 hits
Answers
Answer:
60 % is also .60
100 = .60x
Solve for x
I hope this helps! The rest will be easy! Trust me :)
What contributes to the movement of air masses?
weather boundaries
natural wind patterns
air pressure differences
rapid changes in weather
Answers
Answer:
B natrul winds
Step-by-step explanation:
The movement of air masses is influenced by a combination of factors, including air pressure differences, weather boundaries, natural wind patterns, and rapid changes in weather.
The movement of air masses is primarily influenced by air pressure differences.Air moves from areas of high pressure to areas of low pressure, creating wind and facilitating the movement of air masses.The pressure gradient force drives the movement of air from regions of higher atmospheric pressure to regions of lower atmospheric pressure.Weather boundaries, such as cold fronts, warm fronts, and stationary fronts, can contribute to the movement of air masses by acting as barriers or transitional zones between different air masses.Natural wind patterns, such as global atmospheric circulation patterns, like the Hadley, Ferrel, and Polar cells, influence the movement of air masses on a larger scale.Rapid changes in weather, such as severe storms or thunderstorms, can cause the movement of air masses due to strong vertical air motion and atmospheric instability.Learn more about Weather here:
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how many ft is equal to 1.66m
Answers
Answer:
5.44 meters
Step-by-step explanation:
We Know
0.3048 meter = 1 ft
How many ft makes a height of 1.66m?
We Take
1.66 ÷ 0.3048 ≈ 5.44 meters
So, the answer is 5.44 meters.
Which function has the same range as \(f(x)= - 2\sqrt{x} =-3 + 8\\\)
Answers
Both g(x) = 5 - x² and h(x) = \(5 - e^(6-^x^)\)have the same range as f(x) = -2√(x) - 3 + 8, which is (-∞, 5].
To determine which function has the same range as f(x) = -2√(x) - 3 + 8, we need to first find the range of f(x).
The square root function √(x) takes non-negative values as input and gives non-negative outputs, so the expression -2√(x) will always be non-positive. Therefore, the range of f(x) will be all real numbers less than or equal to -3 + 8, which is 5.
In other words, the range of f(x) is (-∞, 5].
So, we need to find a function whose range is also (-∞, 5]. One possible function is g(x) = 5 - x². We can see that when x is zero, g(x) is at its maximum value of 5, and as we increase or decrease x, g(x) will decrease, eventually approaching negative infinity.
Another possible function is h(x) = 5 - e^(-x). When x is negative infinity, e^(-x) is approaching positive infinity, so h(x) is approaching 0. As we increase x, e^(-x) is approaching zero, so h(x) is approaching 5.
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If f(3) = 24, what is f-1 (24)?
Answers
Answer:
f=25
Step-by-step explanation:
24+1=25
25-1=24
Carlos has 8 dollars and 48 cents. Alissa has 4 dollars and 14 cents. How much money does Carlos need
To give Alissa so that each of them has the same amount of money?
Answers
Answer:
.2 dollars and 17 cents
Step-by-step explanation:
Carlos has 8dollars and 48 cents --->8+0.48=8.48
Alissa has 4dollars and 14 cents--->4+0.14=4.14 let
x--->amount of money that Carlos needs to give Alissa
The linear equation that represents this situation is 8.48-x=4.14+x
solve for x2x=8.48-4.14
2x=4.34
x=2.17
therefore,the amount of money is 2 dollars and 17 cents.
thank you
by Angel osei
unit 10 hw 4 can yall pls help me
Answers
Answer:33
Step-by-step explanation:
33
6.25w= -106.25 equals what
plz hurry!
Answers
Answer: w = -17
Plzz mark brainliest:)
W= -17 hope this helped have a great day let me know if you need help on anything else and please mark me brainliest!
which expression is equivalent to (4^-5 * 4^4) + (2^6/ 2^3)
Answers
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Determine the total surface area and volume of each figure.
Answers
The total surface area of solid is,
S = 220 m²
And, The volume of the prism is, 200 m³
We have to given that;
A solid prism is shown in figure.
Since, The surface area of a prism is,
S = (2 × Base Area) + (Base perimeter × height)
Where, "S" is the surface area of the prism.
Hence, We get;
base area = 5 x 10 = 50 m²
height = 4 m
Base Perimeter = 2 (5 + 10) = 30
Hence, We get;
S = (2 x 50) + (30 x 4)
S = 100 + 120
S = 220 m²
Since, A prism is a solid shape that is bound on all its sides by plane faces. The volume of a prism is expressed as;
V = base area × height.
Now, For given figure,
Volume of the prism = base area × height
base area = 5 x 10 = 50 m²
height = 4 m
Hence, Volume = 50 × 4 m³
= 200 m³
Thus, The volume of the prism is, 200 m³
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What mathematical formula do you use for the following question. A rectangle whose perimeter is 104 feet has a length that is 12 feet longer than its width what is the area of the rectangle. The answer is 640 square feet 20 feet wide by 32 feet long.
Answers
Answer:
Width = 20 inches and Length = 32 inches
Area of rectangle = 640 feet²
Step-by-step explanation:
Perimeter of rectangle = 104 feet
Let width of rectangle = x
Length of rectangle = x+12
We need to find area of rectangle.
First we need to find value of x
The formula used to calculate perimeter of rectangle is: \(Perimeter= 2(Length+Width)\)
Putting values and finding x
\(Perimeter= 2(Length+Width)\\104 = 2(x+12+x)\\104=2(2x+12)\\104=4x+24\\4x=104-24\\4x=80\\x=\frac{80}{4}\\x=20\)
So, Value of x= 20
So, Width x= 20 inches
Length = x+12 = 20+12 = 32 inches
So, Width = 20 inches and Length = 32 inches
Now finding Area
The formula used is: \(Area=Length\times Width\)
Putting values and finding area
\(Area=Length\times Width\\Area=20\times 32\\Area=640 \ feet^2\)
Area of rectangle = 640 feet²
If all real numbers satisfy the inequality, select all real numbers. If no real numbers satisfies the inequality, select no solution.
how can you tell if it's all real numbers or if no real numbers.
Answers
The solution to the inequality is x >= -2 for inequality 3x-5≥-11
The given inequality is 3x-5≥-11
Three times of x greater than or equal to minus eleven
x is the variable
3x - 5≥ -11:
Adding 5 to both sides, we get:
3x ≥ -6
Dividing both sides by 3, we get:
solution is x≥-2
Therefore, the solution to the inequality is x >= -2.
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Students’ GPAs and scores on standardized tests (SATs and ACTs) are entered into a formula that calculates an “admissions index” score. The admissions index score is used to set eligibility standards intended to meet the goal of admitting the top 12% of high school students in the state. In this context, what percentile does the top 12% represent?
Answers
The percentile of the top students will be 88%.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
The admissions index score is used to set eligibility standards intended to meet the goal of admitting the top 12% of high school students in the state.
The percentile of the top student is given as,
⇒ 100% - 12%
⇒ 88%
The percentile of the top students will be 88%.
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A vendor sells hot dogs, bags of potato chips, and soft drinks. A customer buys 4 hot dogs, 3 bags of potato chips, and 2 soft drinks for $8.50. The price of a hot dog is $0.75 more than the price of a bag of potato chips. The cost of a soft drink is $1.50 less than the price of two hot dogs. Find the cost of each item.
Answers
c = bag of chips
h = hot dog
d = soft drink
So we know that hot dog is $0.75 more than the bag of chips, so:
h = c + 0.75
We also know that a soft drink is $1.50 less than 2 hot dogs, so:
d = (2h) - 1.50
As I said the problem will work around bags of chips so we need to know the price of a soft drink in terms of bags of chips, knowing that
h = c + 0.75, we can replace the h in d, so:
d = 2 ( c + 0.75 ) - 1.50
We can simplify this:
d = 2c + 1.50 - 1.50
d = 2c
We know that the total price is 8.50, which is the addition of all the prices of the products (4 hot dogs, 3 bags of chips and 2 soft drinks), so:
So we have
Hot dogs:
4 ( c + 0.75)
Bags of chips:
3c
2 soft drinks:
2 (2c)
With all this we can solve:
4 ( c + 0.75) + 3c + 2 (2c) = 8.50
4c + 3 + 3c + 4c = 8.50
11c + 3 = 8.50
11c = 8.50 - 3
11c = 5.50
c = 5.50 / 11
c = 0.5
So with this we have found the price of a bag of chips, now we just need to replace the value of c in the other variables, so:
Hot dog price:
h = 0.5 + 0.75
h = $1.25
Soft Drink Price:
d = 2(0.5)
d = $1
And with this we have solved the problem, I hope I was helpful.
sanaya can do 1/3 part of a work in 1 day and chahanaa can do1/4 part of the same work in 1 day .How much work would they do working together
Answers
Answer: 36/5= 7.2 days to complete sanaya work day
Step-by-step explanation:
Rewrite each equation without absolute value for the given conditions.
y = |x-3| + |x +2|-|x - 5| if 3
Answers
The equation obtained without the absolute value for given function
y = |x-3| + |x +2|-|x - 5| is y = 2.
Explain about the absolute value?Without taking into account direction, absolute value describes how far a number is from zero on the number line. A number's absolute value can never be negative. Have a look at these samples.
5 is the sum of its absolute values. There are 5 units between 5 and 0.5 is -5's absolute value. There are 5 units between -5 and 0.2 + (-7) equals 5 in absolute terms. The resultant point on a number line is 5 units away from zero when depicting the addition.The given equation:
y = |x-3| + |x +2|-|x - 5|
For x = 3
y = |3-3| + |3+2|-|3 - 5|
y = 0 + |5| - |-3|
Without absolute values:
y = 5 - 3
y = 2
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ANYONEEEE ? I need to help
Answers
Answer:
please mark my answer brainliest
Step-by-step explanation:
A.....will be the answer....
The following differential equation is exact.
Find a function F(x,y) whose level curves are solutions to the differential equation
ydy -xdx= 0
F(x,y) =
Answers
F(x,y) whose level curves are solutions to the differential equation
ydy -xdx= 0 is F(x,y) = y^2/2 - x^2/2.
A differential equation is said to be exact if it can be written in the form
M(x,y)dx + N(x,y)dy = 0
where M(x,y) and N(x,y) are functions of x and y and the partial derivatives of M and N are equal. In other words, the differential equation is exact if ∂M/∂y = ∂N/∂x
In the case of the differential equation ydy - xdx = 0, it can be seen that the partial derivatives of the functions M(x,y) = y and N(x,y) = -x are equal, so the equation is exact. Given an exact differential equation, we can find a function F(x,y) whose level curves are solutions to the differential equation by integrating both sides of the equation.
In this case, we have
ydy - xdx = 0
So,
∫ydy - ∫xdx = C
where C is an arbitrary constant. Integrating both sides, we get
y^2/2 - x^2/2 = C
So, the desired function F(x,y) = y^2/2 - x^2/2, and the level curves of this function are the solutions to the differential equation ydy - xdx = 0.
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Did either student verify the identity property? Explain why or why not. Name 2 identities that were used in student A's verification and the steps they appear in.
Answers
Solution:
The question is given below as
\(cotx(cosx)=cscx-sinx\)Step 1:
We will make use of the quotient identity below
\(cotx=\frac{cosx}{sinx}\)\(\begin{gathered} cotx(cosx)=cscx-s\imaginaryI nx \\ \frac{cosx}{sinx}(cosx)=cscx-s\mathrm{i}nx \\ \frac{cos^2x}{sinx}=cscx-s\mathrm{i}nx \end{gathered}\)Step 2:
We will make use of the Pythagorean identity below
\(\begin{gathered} cos^2x+sin^2x=1 \\ cos^2x=1-sin^2x \end{gathered}\)\(\begin{gathered} \frac{cos^{2}x}{s\imaginaryI nx}=cscx-s\imaginaryI nx \\ \frac{1-sin^2x}{sinx}=cscx-s\mathrm{i}nx \\ \frac{1}{sinx}-\frac{sin^2x}{sinx}=cscx-s\mathrm{i}nx \\ cscx-sinx=cscx-s\mathrm{i}nx(PROVED) \end{gathered}\)Hence,
STUDENT A and STUDENT B both proved it properly,
STUDENT A proved it from left to right
STUDENT B proved it from right to left
For STUDENT A's work,
Quotient identity was used in step 1
\(cotx=\frac{cosx}{sinx}\)Pythagorean identity was used in step 3
\(\begin{gathered} cos^2x+sin^2x=1 \\ cos^2x=1-sin^2x \end{gathered}\)Reciprocal identity was used in step 5
\(cscx=\frac{1}{sinx}\)Determine if a quadrilateral with the given vertices is an isosceles trapezoid. Show and explain all steps to prove or disprove.
A(3, 3) B(5, 3) C(8,1) D(1,1)
Answers
Answer:
No, a quadrilateral with the given vertices is not an isosceles trapezoid.
Step-by-step explanation:
We are given that
A(3,3), B(5,3), C(8,1), D(1,1)
Slope formula:
\(m=\frac{y_2-y_1}{x_2-x_1}\)
Slope of AB=\(\frac{3-3}{5-3}=0\)
Slope of BC=\(\frac{1-3}{8-5}=\frac{-2}{3}\)
Slope of CD=\(\frac{1-1}{1-8}=0\)
Slope of AD=\(\frac{1-3}{1-3}=1\)
Slope of AB=Slope of CD
When slopes of two lines are equal then the lines are parallel.
Therefore, AB is parallel to CD.
When one pair of quadrilateral is parallel then the quadrilateral is trapezoid.
\(\implies \)ABCD is a trapezoid.
Distance formula:
\(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
Using the formula
Length of BC=\(\sqrt{(8-5)^2+(1-3)^2}\)
Length of BC=\(\sqrt{9+4}=\sqrt{13}\) units
Length of AD=\(\sqrt{(1-3)^2+(1-3)^2}\)
Length of AD=\(\sqrt{4+4}=2\sqrt{2}\)
Length of AD is not equal to length of BC.
Hence, trapezoid is not an isosceles trapezoid.
PLEASEEE HELPPPP!!!
50 high school students were asked how many hours they study per day. The mean was 1.5 hours, with a standard deviation of 0.5 hours. Using a 5% level of significance, what could we claim about the mean study time of the entire population of high school students so that the hypothesis will fail to be rejected?
A. 1.3 hrs
B. 1.2 hrs
C. 1.6 hrs
D 1.7 hrs
Answers
Considering the desired result of the hypothesis test, we the closest mean time to 1.5 hours, hence the correct option is:
C. 1.6 hrs
What should be the mean?The closer the mean is to the sample mean, the less likely we are to reject the null hypothesis.
In this problem, the sample mean is of 1.5 hours, hence, the closest value, considering the absolute value of the difference, is of 1.6 hours, hence option C is correct.
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b. Mai says that the tiles have the same area as one-foot by one-foot tiles. Do you
agree with Mai? Explain or show your reasoning.
Answers
Answer:
yes most are 12x12 inch tiles so yes
Step-by-step explanation: