Answer:
9x⁵ · 25x⁶
Step-by-step explanation:
(3x³)²·(25x⁶)·[tex]\frac{1}{2}[/tex] =9x⁵ · 25x⁶
Please mark me as the brainliest
Final answer:
The simplified expression equivalent to ((3x^3)^2 · (25x^6)^{1/2}) is 45x^9. This is obtained by applying exponent rules, such as power to a power and multiplying terms with the same base resulting in the addition of their exponents.
Explanation:
The expression in question is (3x^3)^2 · (25x^6)^{1/2}. To simplify this expression, we need to apply the exponent rules. When we raise a power to a power as in (a^m)^n, the exponents are multiplied, so (3x^3)^2 becomes 3^2 · x^{3×2}, which simplifies to 9x^6.
Next, taking the square root, which is the same as raising to the power of 1/2, we apply it to (25x^6)^{1/2}. The square root of 25 is 5, and raising x^6 to the 1/2 power gives x^{6×1/2}, or x^3. Therefore, we have 5x^3 as the simplified result of (25x^6)^{1/2}.
Multiplying these results together, we combine 9x^6 and 5x^3. When we multiply terms with the same base, we add their exponents, therefore we get 9×5 · x^{6+3}, resulting in 45x^9.
One hundred students were surveyed about whether they recycle regularly. The results are shown in
the two-way frequency table below. Fill in the missing information.
Air is a solution composed of 78% nitrogen and 21% oxygen. Identify the solute and the solvent. *
nitrogen is the solvent and oxygen is the solute
nitrogen is the solute and oxygen is the solvent
nitrogen is both the solute and the solvent
oxygen is both the solute and the solvent
Answer:
nitrogen is the solvent and oxygen is the solute
Step-by-step explanation:
Most of the time the solute will be present in a smaller quantity and the solvent will appear in a larger quantity.
Answer is A, nitrogen is the solvent and oxygen is the solute .
Please help I need all
Answer:
cube - c
exponential - d
log -a
Step-by-step explanation:
You take out a loan for $523 at an interest rate of 9% for five years. What is the total amount
that you will have at the end of the five years?
Final answer:
To find the total amount due after five years on a loan of $523 with a 9% interest rate, first calculate the simple interest ($235.35) and then add it to the principal to get a total of $758.35.
Explanation:
To calculate the total amount you will have at the end of five years after taking out a loan for $523 at an interest rate of 9%, you need to use the formula for calculating the future value with simple interest: Principal + (principal × rate × time). The principal in this case is $523, the rate is 0.09 (9% expressed as a decimal), and the time is 5 years.
First, we calculate the simple interest: Interest = Principal × rate × time = $523 × 0.09 × 5. This gives us the total interest that will be charged over the five years.
Step 2. Calculate the simple interest: $523 × 0.09 × 5 = $235.35.
Step 3. Calculate the total future amount using the formula: Principal + Interest = $523 + $235.35 = $758.35.
Therefore, the total amount that you will have to pay at the end of the five years is $758.35.
Which function is shown in the graph below? On a coordinate plane, an exponential function curve is level at y = 3 in quadrant 2, and then increases into quadrant 1. It crosses the y-axis at (0, 7). y = 2 Superscript x minus 2 Baseline + 3 y = 2 Superscript x + 2 Baseline + 3 y = 2 Superscript x minus 3 Baseline + 2 y = 2 Superscript x + 3 Baseline + 2
Answer:
Option B, y = 2 Superscript x + 2 Baseline + 3
Step-by-step explanation:
I could be wrong tbh. I graphed it on a graphing website and the graph from B matched up with the graph shown in the question.
Answer:
B
Step-by-step explanation:
I graphed it
Pete was able to map quadrilateral A, B, C, D onto E, F, G, H using a translation and a dilation. Pete concluded: "I was able to map quadrilateral A, B, C, D onto
E, F, G, H using a sequence of rigid transformations, do the figures are congruent." What
error did Pete make in his conclusion?
Answer:
Pete didn't use only rigid transformations, so the figures are not congruent
Step-by-step explanation:
Translations, reflections, and rotations are all rigid transformations while a dilation is not. Pete used a dilation to make the shape smaller after transforming it, therefore the shape is similar not congruent.
If you're confused with what these math terms mean:
A rigid transformation (also called an isometry) is a transformation of the plane that preserves length.
In geometry, a reflection is a type of rigid transformation in which the preimage is flipped across a line of reflection to create the image. Each point of the image is the same distance from the line as the preimage is, just on the opposite side of the line.
A dilation is a type of transformation (not a rigid one though) that changes the size of the image. The scale factor, sometimes called the scalar factor, measures how much larger or smaller the image is.
Transformation involves moving an object from its original position to a new position.
Rotation is a transformation that turns a figure about a fixed point called the center of rotation. An object and its rotation are the same shape and size, but the figures m
Pete's mistake in his conclusion is that he stated the quadrilaterals were congruent when he used a sequence of transformations that included a dilation. Dilation changes the size of the figure while maintaining shape, thus the shapes are similar but not congruent.
Explanation:In his conclusion, Pete made an error by stating that the quadrilaterals A, B, C, D, and E, F, G, H are congruent because he used a sequence of rigid transformations. However, transformations that include a dilation are not rigid transformations. Rigid transformations, such as rotations, reflections, or translations, preserve the shape and size of the figure, making the resulting figure congruent to the original. A dilation, however, changes the size of the figure while maintaining its shape, resulting in a figure similar to, but not congruent with, the original. Therefore, although Pete was able to map quadrilateral A, B, C, D onto E, F, G, H, the two shapes are not congruent because dilation was a part of the sequence of transformations he used.
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How is graphing (5, 0) different from graphing (0, 5) ? Use the drop-down menus to explain.
Answer:
(5,0) would be the x-intercept while (0,5) would be the y-intercept.
Answer:
X-axis for the 5,0 and y-axis for the 0,5
Step-by-step explanation:
So, you would know the x-axis makes the first number and the y-axis makes the last number
hope this helps :)
Find a cubic function with the given zeros. Square root of seven., -Square root of seven., -4 f(x) = x3 + 4x2+ 7x - 28 f(x) = x3 + 4x2 - 7x - 28 f(x) = x3 - 4x2 - 7x - 28 f(x) = x3 + 4x2 - 7x + 28
Answer:
f(x) = x^3 + 4x^2 - 7x - 28
Step-by-step explanation:
If the roots of this cubic function are Square root of seven, -Square root of seven, -4, then the factors must be (x^2 - 7)(x + 4).
Multiplying this out, we get f(x) = x^3 + 4x^2 - 7x - 28.
Note: Please use " ^ " to indicate exponentiation.
Drag point P around the unit circle to find the values of the trigonometric functions.
sin(90°) = 1
cos(180°) = -1
sin(40°) = .643
cos(245°) = -.423
Answer:
See the attachment
Step-by-step explanation:
A unit circle is one whose radius is 1
sin(90) will have coordinates (0,1)
sin(40)= 0.643
sin(40)= P/H= 0.643/1
cos(40)= B/H= 0.766
Similarly for cos(245)= cos(-65)= -0.423/1
sin(245)= sin(-65)= -0.906
The question involves applying knowledge of the unit circle and trigonometric identities to find the values of sine and cosine for certain angles as well as using the Law of Sines and Law of Cosines in triangle problems.
The question involves finding trigonometric function values using the unit circle. The unit circle is a circle with a radius of 1 unit, centered at the origin of the coordinate system, and is a fundamental tool in trigonometry. The sine and cosine values for certain angles are as follows:
sin(90°) = 1
cos(180°) = -1
sin(40°) = 0.643
cos(245°) = -0.423
Additionally, trigonometric identities like sin(90° – x) = cos x are useful for finding values of sine and cosine for complementary angles. The Law of Sines and the Law of Cosines can help solve for unknowns in triangles when certain side lengths and angles are known.
examples of data presentation in math
Answer:
Data Presentation - Tables
Tables are a useful way to organize information using rows and columns. Tables are a versatile organization tool and can be used to communicate information on their own, or they can be used to accompany another data representation type (like a graph). Tables support a variety of parameters and can be used to keep track of frequencies, variable associations, and more.
For example, given below are the weights of 20 students in grade 10:
50, 45, 48, 39, 40, 48, 54, 50, 48, 48, \\ 50, 39, 41, 46, 44, 43, 54, 57, 60, 45.
50,45,48,39,40,48,54,50,48,48,
50,39,41,46,44,43,54,57,60,45.
To find the frequency of 4848 in this data, count the number of times that 4848 appears in the list. There are 44 students that have this weight.
The list above has information about the weight of 2020 students, and since the data has been arranged haphazardly, it is difficult to classify the students properly.
To make the information more clear, tabulate the given data.
\begin{array}{c}\\ \text{Weights in kg} & & & \text{Frequency} \\ 39 & & & 2 \\ 40 & & & 1 \\ 41 & & & 1 \\ 43 & & & 1 \\ 44 & & & 1 \\ 45 & & & 2 \\ 46 & & & 1 \\ 48 & & & 4 \\ 50 & & & 3 \\ 54 & & & 2 \\ 57 & & & 1 \\ 60 & & & 1 \end{array}
Weights in kg
39
40
41
43
44
45
46
48
50
54
57
60
Frequency
2
1
1
1
1
2
1
4
3
2
1
1
This table makes the data more easy to understand.
Examples of data presentation in math includes: Tables, Bar Graphs, Line Graphs, Pie Charts and Scatter Plots
1. Tables: Tables are used to organize and present data in rows and columns. They are effective for comparing values and showing relationships between different sets of data.
2. Bar Graphs: Bar graphs represent data using rectangular bars of varying lengths or heights. They are useful for comparing quantities across different categories.
3. Line Graphs: Line graphs show data points connected by line segments. They are commonly used to display trends and changes in data over time.
4. Pie Charts: Pie charts represent data as a circle divided into sectors, with each sector representing a proportion of the whole. They are effective for showing proportions and percentages.
5. Scatter Plots: Scatter plots display individual data points on a two-dimensional graph. They are useful for identifying relationships and correlations between two variables.
What is the place value of the digit 3 in the number 93,285,170
Answer:
3,000,000
Step-by-step explanation:
What is the solution to In (x2 - 16) = 0?
x=1v17
x= +4
x=+/32
Answer:
x = ± [tex]\sqrt{17}[/tex]
Step-by-step explanation:
Given
ln(x² - 16) = 0, then
x² - 16 = [tex]e^{0}[/tex] = 1 ( add 16 to both sides )
x² = 17 ( take the square root of both sides )
x = ± [tex]\sqrt{17}[/tex]
Answer:
B.
Step-by-step explanation:
x²-16 = 0
Adding 16 to both sides
x² = 16
Taking square root on both sides
we get
√x² = √16
x = ± 4
Either,
x=4 OR x= -4
scientific notation help!!20 points
Answer:
5 * 10^10
Step-by-step explanation:
(9 * 10^10) - (4 * 10^10)
If the * 10^x are both the same then just take the numbers away.
Answer:
5×10 to the tenth power
Step-by-step explanation:
(9×10^10)-(4×10^10)
remove the parenthesis
9×10^10-4×10^10
then you need to collect like terms so you subtract 9-4
and get 5×10^10
final answer:5×10 to the tenth power
Natalie kicked a soccer ball. The equation h=-16t^2+50t describes the height of the ball (T) seconds after it was kicked. Approximately how many seconds went by before the ball hit the ground?
Answer:
Time, t = 3.125 s
Step-by-step explanation:
The height attained by the ball after it was kicked is given by as a function of time t as :
[tex]h=-16t^2+50t[/tex]
It is required to find the time until which the ball hits the ground. At that point, h(t) = 0
So,
[tex]-16t^2+50t=0\\\\t(-16t+50)=0\\\\t=0, -16t+50=0\\\\t=0, 3.125\ s[/tex]
So, 3.125 seconds before the ball hit the ground.
Use the expression 4^{3}+8-\dfrac9y4
3
+8−
y
9
4, cubed, plus, 8, minus, start fraction, 9, divided by, y, end fraction to find an example of each kind of expression.
The expression 4^{3}+8-\dfrac{9}{y4} can be broken down into different components:
1. 4^{3}: This part represents 4 cubed, which is equal to 4 x 4 x 4 = 64.
2. +8: This is simply the addition of 8 to the previous result, which is 64 + 8 = 72.
3. -\dfrac{9}{y4}:
Here, we have a subtraction and a fraction.
It's important to note that there might be a typo in the expression, and it should perhaps be written as \(\dfrac{9}{y}4\), which would mean 9 divided by y and then multiplied by 4.
If that's the case, the result depends on the value of y.
The expression demonstrates the use of exponentiation, addition, subtraction, and fractions, making it a comprehensive example of various mathematical operations.
In summary, the expression 4^{3}+8-\dfrac{9}{y4} showcases the use of exponentiation, addition, and subtraction, along with a fraction.
It's important to clarify whether the fraction should be interpreted as \(\dfrac{9}{y}4\) or \(\dfrac{9}{y4}\) to determine its exact mathematical meaning and result.
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Ashley is packing her bags for her vacation. She has 7 unique socks, but only 3 fit in her bag.
How many different groups of 3 socks can she take?
Answer:
There are 35 possible group of 3 socks from a total of 7
Step-by-step explanation:
Given
Number of unique socks = 7
Number of possible selection = 3
Required
Number of ways she can make her selection.
The question can be categorised as combination; reason being that words like "take" as used in the question points to combination or selection.
To solve this, we make use of combination formula.
nCr = nPr/r!
Where n = 7 and r = 3
By substitution, we have
7C3 = 7P3÷3!
Taking it one at a time
7P3 = 7!÷(7-3)!
7P3 = 7! ÷ 4!
7P3 = 7 * 6 * 5 * 4! ÷ 4!
7P3 = 7 * 6 * 5
7P3 = 210
3! = 3 * 2 * 1
3! = 6.
So,
7C3 = 210 ÷ 6
7C3 = 35.
Hence, there are 35 possible group of 3 socks from a total of 7
Solve for the unknown value.
Answer:
77
Step-by-step explanation:
Every angle in a triangle adds up to 180 degrees. subtract 42 and 61 from 180 to get 77
Answer:
the answer is 77
Step-by-step explanation:
the whole figure has to equal 180 degrees so:
add 61 + 42 which equals 103
so then what is added to 103 to get 180?
its 77
How many 8-inch square tiles are needed to cover a rectangle floor that is 10 ft. long and 8 ft. wide?
A. 80
B. 10
C. 180
D. 160
Answer:
180 tiles
Step-by-step explanation:
It's easiest to work with only one unit for length and one unit for area. We will work with inches and square inches, and we will convert feet to inches.
An 8-inch square tile is a tile shaped like a square whose side measures 8 inches.
area of square = side^2
area of 1 tile = (8 in.)^2 = 64 in.^2
One 8-inch, square tile has an area of 64 sq in.
Now we need to find the area of the floor in square inches.
1 ft = 12 in.
We multiply each dimension in ft by 12 to find inches.
10 ft = 10 * 12 in. = 120 in.
8 ft = 8 * 12 in. = 96 in.
Now we find the area of the rectangular floor.
area of rectangle = length * width
area of rectangle = 120 in. * 96 in.
area of rectangle = 11,520 sq in.
The rectangular floor has an area of 11,520 sq in.
Each tile has an area of 64 sq in.
To see how many tiles are needed, we divide the area of the floor by the area of one tile.
number of tiles = (11,520 sq in.)/(64 sq in.) = 180
Answer: 180 tiles
Which expression has a value equal to
6,524?
Answer:
C. 6524 x 3/3
Step-by-step explanation:
Simplify:
3/3 = 1
6524 x 1 = 6524 (True).
C. is your answer.
Divide:
1204/14 = 86
86 is your answer.
~
Step-by-step explanation:
A 6524 x 6/3 = 13048
B 6524 x 3/ 3 = 6524
C 6524 x 1/8 = 815.5
D 6524 x 5/2 = 16310
Option B is the correct answer
5 1204 ÷ 14 = 86
Find the hypotenuse (2) of the right triangle.
Round your answer to the nearest tenth.
7 m
11 m
A
8.5 m
B
18 m
(
23 m
D
13 m
Answer:
D) 13m
Step-by-step explanation:
To find the hypotenuse, use the formula for a² + b²= c², where a and b are the values of the triangle's two legs and c is the value of the hypotenuse.
In this case, a² = 7m and b² = 11m. Remember that there is no definite value for a or b, so they can be switched around.
So now our formula will look like this: 7² + 11² = c².
When squaring the two values, you will get a more simplified manner of the equation: 49 + 121 = c².
When we add them altogether, we get 170 = c²
That is not our answer yet, because we want the simplified, and not squared, form as the answer.
In order to do that, we must find the square root of √170, which is 13.0384048104, or just 13 when rounded to the nearest tenth.
So now we know that c², the hypotenuse, is approximately equal to 13.
Just to be sure, plug in all the value into the formula and try again.
7² + 11² = 13². 49 + 121 = 169 170 ≈ 169Notice: the reason why they are not both is because we rounded 13.0384048104 to 13. But if we square 13.0384048104, we get 170, which is the same value as the one above. Easy, right?
Hope this helps!
There are 90 picking days in a season. A farms picks approximately 8 x 104 papayas
each day. Approximately, how many papayas are picked each season?
Answer:
74880
Step-by-step explanation:
first you do 8x104 and get 832 and then you do 832x90 and you get 74880.
By performing multiplication, you find that a farm picking approximately 800,000 papayas each day for 90 days in a season would pick around 72,000,000 papayas in total.
Explanation:The subject of this question is Mathematics, specifically multiplication. To determine the total number of papayas picked in a season, we can multiply the number of picking days in a season by the average number of papayas picked each day. Thus, we need to multiply 90 (the number of picking days in a season) by 8 x 104 (the average number of papayas picked each day). Step-by-step, this process would look like the following:
Convert 8 x 104 to its standard form, which is 800,000. This represents the number of papayas picked each day. Multiply 800,000 papayas by 90 days. 800,000 papayas/day * 90 days = 72,000,000 papayas.
Therefore, the farm picks approximately 72,000,000 papayas in a season.
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PLEASE ANSWER ASAP I WILL GIVE YOU BRAINLIEST I PROMISE
(10POINTS)
Answer:
-2, 9
Step-by-step explanation:
Factor this expression:
[tex]x^{2} + 7x - 18[/tex]
We know that we need a factorization that multiplies to -18, and adds up to positive 7. Test all our combinations! Add them together and see if they equal 7.
-18 + 1 = -17 ≠ 7
-1 + 18 = 17 ≠ 7
-9 + 2 = -7 ≠ 7
-2 + 9 = 7
So we need to use -2 and 9!
[tex](x+9)(x-2)[/tex]
find the value of x round to the nearest tenth
Answer:
23.0 =x
Step-by-step explanation:
Assuming this is a right triangle
cos theta = adj/ hypotenuse
cos 23 = x/25
Multiply each side by 25
25 cos 23 = x
23.01262134 =x
To the nearest tenth
23.0 =x
Jerry weighs 95 pounds. This is 15 pounds less than Mikey weighs. How much does Mikey weigh? *
Answer:
Mikey weighs 110 pounds.
Step-by-step explanation:
Because Mikey weighs 15 pounds more, just add 95 pounds and 15 pounds to get Mikey's weight:
95 + 15 = 110
I hope this helps you!
Please rate my answer and give me Brainliest!
Have a nice day! :)
Someone pls help me
Answer:
75 men spent 7 hours or more exercising.
Step-by-step explanation:
If you multiply 300 by 0.67, you get 201. That would be the amount of men. Multiply 300 by 0.37 to get 111, the amount of people who spent less than 7 hours exercising, and subtract it from the 201 men to get 90. Then, multiply 300 by 0.75 to get 225, the amount of women that spent 7 hours or more exercising, and subtract it from 300, which would result in an answer of 75. That's how many men spent 7 hours or more exercising.
Answer at least 5 of these questions.
1. I swallowed an ice cube whole, and I haven't pooped it out?
2. Is there a spell to become a mermaid that actually works?
3. Can I safely look at a picture of the sun?
4. Is it illegal to kill an ant?
5. Is the hunger games based on a true story?
6. Are there birds in Canada?
7. Are there any autographs of Jesus Christ?
8. What if the girl that thinks I'm the dad isn't the mom?
9. How am I sure I'm the real mom of my kid?
10. 60 seconds and 1 minute aren't really the same?
This is part of my school project.
Answer:
This is a clearly a joke but:
3. Yes, you can. You can even look at a real sun with a special kind of sunglasses.
4. No. Animal lives of non-pet animals are not protected the same way as humans or pets are.
5. I believe that the Hunger Games as a whole are fictional, but there may be nonfiction blended in.
6. Have you ever heard of Canadian Geese? Or picked up a bird watching book?
7. None surviving to the present.
8. There could be a case where a surrogate mother does not know who the real biological father of the child she is carrying is.
9. If you forget you were acting as a surrogate, wait for a bit. The real mother should call in.
Step-by-step explanation:
Pretty much provided in the answers.
1. You haven't pooped it out, since ice becomes water, and so it doesn't keep it's shape. You would pee it out.
3. Yes, you can safely look at the picture of the sun, but you can't look at the sun directly, or it might blind you.
4. No it is not illegal to kill an ant. People do it all the times anyway; when you walk down the sidewalk imagine the number of bugs you are crushing.
5. The hunger games, is not part of a true story, it is labeled fiction, and takes part in a fictional place.
6. Yes, there are birds in Canada, there's a whole list on wikipedia ;)
9. You can be sure if you are the real mom of your kid, by taking a DNA test. It could be expensive, but if you can't get your mind off it, take the cash out.
I hope this helps.
h(n)=-91*(-1/7)^n-1 Complete the recursive formula of h(n).
h(1)= ?
h(n)=h(n-1)* ?
h(1)= -91
h(n)=h(n-1)* (-1/7)
Hope this helps!
h(1)= -91
h(n)=h(n-1)* (-1/7)
Hope this helps!
33, 25, 42, 25, 31, 37, 46,29,38
What is the first quartile of the data?
The first quartile of the data 33, 25, 42, 25, 31, 37, 46,29,38 is 27.
How to find the first quartile?The first quartile of the data can be found as follows:
Firstly, let's arrange the data in ascending order.
25, 25, 29, 31, 33, 37, 38, 42, 46
Therefore,
Median is the middle number = 33
25, 25, 29, 31
first quartile = 25 + 29 / 2
first quartile = 54 / 2 = 27
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If the cube shown is 5 inches on all sides, what is the length of the diagonal, x, of the cube?
2.75 inches
35 inches
5
inches
5.75 inches
Answer:
5.75 inches
Step-by-step explanation:
The diagonal will always be larger than the height... I think
Hope this helps?
What is the next term of the geometric sequence? 108,36,12,
Answer:
4
Step-by-step explanation:
As you can see, 108 divided by 36 is 3
And 36 divided by 12 is 3
So in the geometric sequence, each tern is divided by 3, so that means we divide 12 by 3
12/3 = 4
The next term of the geometric sequence ; 108,36,12,4.
What is geometric sequence?A unique kind of sequence called a geometric sequence has a constant ratio between every two succeeding terms. This ratio is regarded as one of the geometric sequence's common ratios.
aₙ=a₁(r)ⁿ⁻¹.
Given:
The geometric sequence; 108,36,12,....
Common ratio of the geometric sequence,
r = 36/108 = 1/3
The general formula of geometric sequence,
aₙ=a₁(r)ⁿ⁻¹.
a₄=(108)(1/3)⁴⁻¹.
a₄=(108/27)
a₄= 4.
Therefore, the next term is 4.
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