Answer:
10
Step-by-step explanation:
10*10*10=1000
10^3=1000
1. Directions: Express in factor form and give the value of the
number or the standard form.
Number 1 is done for you.
1. 73 = 7 x 7 x 7 = 343
2. 10⁵=____=____
3. 6³=___=___
4. 4⁴=_____=____
5. 2¹⁰=_____=____
pls help i need it
which is larger the number of meters in the Milky Way or the number of cells in all humans
Answer:
the number of meters in the milky way
Step-by-step explanation:
becuse the world is infinite
Which of the following are solutions to the equation below? Check all that apply. x2 + 10x + 25 = 2
Answer:
-5+√2 and -5-√2
Step-by-step explanation:
With the quadratic formula:
\(\displaystyle x^2 + 10x + 25 = 2\\\\x^2+10x+23=0\\\\x=\frac{-10\pm\sqrt{10^2-4(1)(23)}}{2(1)}=\frac{-10\pm\sqrt{100-92}}{2}=\frac{-10\pm\sqrt{8}}{2}=\frac{-10\pm2\sqrt{2}}{2}=-5\pm\sqrt{2}\)
We can also complete the square (which is faster):
\(x^2+10x+25=2\\(x+5)^2=2\\x+5=\pm\sqrt{2}\\x=-5\pm\sqrt{2}\)
In the following diagram, ABCDABCD is a square. The coordinates of the vertices A,B,CA,B,C and DD are (3,3),(8,3),(8,8)(3,3),(8,3),(8,8) and (3,8)(3,8) respectively.
The square is dilated from the origin by a factor of 1111 to give A′B′C′D′A′B′C′D′.
What are the coordinates of point C′C′? (NEED THIS ASAP)
Answer:
Step-by-step explanation:
To dilate the square by a factor of 1111 from the origin, we need to multiply each coordinate by 1111.
The coordinates of point C are (8,8). So, to find the coordinates of point C' after dilation, we can simply multiply each coordinate by 1111:
x-coordinate of C' = 1111 * 8 = 8888
y-coordinate of C' = 1111 * 8 = 8888
Therefore, the coordinates of point C' are (8888, 8888).
This month my metro water services bill was $36.34 and my Madison Suburban Utilty District bill was $26.03. My total water bill was $
Total water bill for the month is $62.37.
It seems that you may have accidentally left out the total amount of your water bill.
The total amount by simply adding the amounts of the individual bills together:
Total water bill =\($36.34 + $26.03\)
= \($62.37\)
You have not provided enough information to determine your total water bill.
You have only given the amounts of your individual bills from Metro Water Services and Madison Suburban Utility District.
To find your total water bill, you simply need to add the two bills together.
So, the total amount you owe for water this month would be:
Total water bill = \($36.34 + $26.03\)
= \($62.37\)
It appears that you may have forgotten to include the full amount of your water bill by accident.
Simple addition of the separate bill amounts yields the following sum:
Water bill total = \($36.34 + $26.03\)
= \($62.37\)
Your total water bill cannot be calculated because not enough information has been given.
Only the amounts of your individual Metro Water Services and Madison Suburban Utility District bills have been provided.
You just need to combine the two invoices together to get your total water bill.
As a result, this month's total water bill for you would be:
Water bill total = \($36.34 + $26.03\)
= \($62.37\)
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Does anyone have Envision volume 2 book for 5th grade I need only lesson 13? 2 page ?
I’m sorry but I could not find a pdf version of the Envision volume 2 book for 5th grade online. However, I found some websites that have answer keys and lesson plans for the book. You can check them out by searching for the following queries:
Envision Math Grade 5 Answer Key | Envision Math 5th Grade Textbook Answers – enVision Math Answer Key ( 1 )5th Grade Envision Topic 13 Lessons Teaching Resources | TPT ( 2 )IXL skill plan | 5th grade plan for enVisionMATH 2.0 ( 3 )I hope this helps you with your homework.
You are given the great circle of a sphere is a length of 25 miles. What is the volume of the sphere
The volume of the sphere is approximately 3431.82 cubic miles.
To find the volume of a sphere, we need the radius of the sphere. The length of a great circle is the circumference of the sphere, which is related to the radius by the formula C = 2πr, where C is the circumference and r is the radius.
In this case, we are given that the length of the great circle is 60 miles. We can use this information to find the radius of the sphere.
C = 2πr
60 = 2πr
Divide both sides of the equation by 2π:
r = 60 / (2π)
r = 30 / π
Now that we have the radius, we can use the formula for the volume of a sphere:
V = (4/3)πr³
V = (4/3)π(30/π)³
V = (4/3)π(27000/π³)
V = (4/3)π(27000/π³)
V = (4/3)π(27000/π³)
V = (4/3)(27000/π²)
V = (4/3)(27000/9.87) (approximating π to 3.14)
V ≈ 3431.82 cubic miles
Therefore, the volume of the sphere is approximately 3431.82 cubic miles.
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Question
You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?
If the sides of a triangle have the following lengths, find a range possible values for x
CD = x-4, DE = 3x + 21, CE = 6x - 13
Answer:
9.5 < x < 15
Step-by-step explanation:
The possible values of x for the given problem lies in (-infinity, -1.33) ∪ (9.5, 15).
What is linear inequality?Linear inequality refers to the relation between a linear algebraic expression to some known value that contains inequality sign.
Unlike a linear equation it can have a range of values inside an interval.
Given that,
The sides of the triangle are as follows,
CD = x - 4, DE = 3x + 21 and CE = 6x - 13.
There can be three cases for the given problem.
Case 1,
The longest side of the triangle is CE = 6x - 13.
Since the sum of the two sides of a triangle is always greater than the longest one, the following inequality can be written for the given triangle,
6x - 13 < x - 4 + 3x + 21
=> 6x - 13 < 4x + 17
=> 6x - 4x < 17 + 13
=> 2x < 30
=> x < 15
Case 2,
The longest side of the triangle is DE = 3x + 21.
Since the sum of the two sides of a triangle is always greater than the longest one, the following inequality can be written for the given triangle,
3x + 21 < 6x - 13 + x - 4
=> 3x + 21 < 7x - 17
=> 7x - 3x > 21 + 17
=> x > 38/4
=> x > 9.5
Case 3,
The longest side of the triangle is CD = x - 4.
Since the sum of the two sides of a triangle is always greater than the longest one, the following inequality can be written for the given triangle,
x - 4 < 3x + 21 + 6x - 13
=> x - 4 < 9x + 8
=> x - 9x > 8 + 4
=> x < -1.33
Thus, the range of the values of x is intersection of x < 15, x > 9.5 and x < -1.33, which is equivalent to (-infinity, -1.33) ∪ (9.5, 15).
Hence, the range of possible values of x lies in the interval (-infinity, -1.33) ∪ (9.5, 15).
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1. If 12 kg of sugar cost $ 250, calculate the cost of 20 kg of sugar.
Answer: 416.7
250/12 = 20.8
20.8 x 20 = 416.7
7x+8y=18 Find the equation of the line which passes through the point (1,−13) and is parallel to the given line. Express your answer in slope-intercept form. Simplify your answer.
Answer:
y = -7/8x - 97/8
or 8y + 7x = -97
Step-by-step explanation:
7x + 8y = 18
=> 8y = -7x + 18
y = -7/8 + 18/8
If two lines are parallel, their slopes are equal. So slope is -7/8
given m = -7/8, y = -13, x = 1
y = mx + b
-13 = -7/8(1) + b
-13 = -7/8 + b
b = -13 + 7/8 = -104/8 + 7/8 = -97/8
so y = -7/8x - 97/8
=> 8y = -7x - 97
8y + 7x = -97
Find the cost price of an article sold at $360 with a profit of 20%.
Step-by-step explanation:
360÷100×20
=72
so 360+72
=432
pls give brainliest!!
Multiply: 3,217 × 5,716
Answer:
Step-by-step explanation:
183,883,72
Answer:
18388372
Step-by-step explanation:
1 )Use the algorithm method.
3 2 1 7
× 5 7 1 6
1 1 1 4
1 9 3 0 2
3 2 1 7 0
2 1 1 4
2 2 5 1 9 0 0
1 1 3
1 6 0 8 5 0 0 0
1 1 1
1 8 3 8 8 3 7 2
==================step 2==================2 )Therefore, 3217 × 5716 = 18388372.
18388372
pls answer quickly!!!
Answer:
x = 90
y = 100
z = -10
Step-by-step explanation:
To find x and y in the above parallelogram ABCD as shown above, recall that one of the properties of a parallelogram is: the consecutive angles in a parallelogram are supplementary.
This means that the sum of angle A and angle B in the parallelogram ABCD = 180°.
Thus,
(x + 30)° + (x - 30)° = 180°
Solve for x
x + 30 + x - 30 = 180
x + x + 30 - 30 = 180
2x = 180
Divide both sides by 2
2x/2 = 180/2
x = 90
=>Find y:
Also, recall that opposite angles in a parallelogram are congruent.
This means, angle A and angle C in parallelogram ABCD above are equal.
Thus,
(x + 30)° = (y + 20)°
Plug in the value of x to solve for y
90 + 30 = y + 20
120 = y + 20
Subtract 20 from both sides
120 - 20 = y
100 = y
y = 100
=>Find z, if z = x - y
z = 90 - 100
z = -10
64th term of arithmetic sequence 29,38,47
Answer:
596
Step-by-step explanation:
Each term of the arithmetic sequence is 9 greater than the previous term.
Since the first term is 29, then 29+9 = 38, the second term in the sequence. Likewise, the third term, 47, is 9 greater than the previous term, 38. 47 is also 2(9) greater than the first term, 29.
Therefore, finding the 64th term in the sequence would be the same thing as adding 9 to the first term (29) a total of n-1, or 64-1 times. Instead of adding, one can simply multiply 29 by 63, since 64-1 = 63.
29 + 63(9)
= 29 + 567
= 596
So, the 64th term of the arithmetic sequence is 596.
Some questions supply a data set, like the one below, which must be used in order to answer the question.
4
8
9
5
2
7
7
5
8
You can copy the data set into another program, such as a spreadsheet or a statistical software program
Copying the data set into another program allows you to leverage the capabilities of that program for Statistical analysis.
The provided data set can be copied into another program, such as a spreadsheet or a statistical software program, to perform various data analysis tasks. Let's explore some common operations that can be performed using the data set.
1. Descriptive Statistics: By copying the data set into a spreadsheet or statistical software, you can calculate various descriptive statistics, such as the mean, median, mode, standard deviation, and range of the data. These statistics provide insights into the central tendency, variability, and distribution of the data.
A
1 4
2 8
3 9
4 5
5 2
6 7
7 7
8 5
9 8
2. Data Visualization: Once the data set is copied, you can create visualizations to better understand the data. This can include bar charts, histograms, line plots, or box plots, depending on the nature of the data and the insights you want to gain.
3. Data Manipulation: Copying the data set into a spreadsheet allows you to manipulate and transform the data as needed. You can perform operations like sorting, filtering, grouping, and calculating new variables based on existing ones. This enables you to extract meaningful information from the data set.
4. Statistical Analysis: If you are using statistical software, you can conduct advanced statistical analyses on the data set. This may involve regression analysis, hypothesis testing, analysis of variance (ANOVA), or clustering techniques, depending on the specific research question or objective.
5. Data Integration: If you have additional data sets or variables related to the given data set, copying it into a program allows you to merge or join different data sets, thereby enriching the analysis and providing a more comprehensive understanding of the data.
Overall, copying the data set into another program empowers you to perform a wide range of data analysis tasks, enabling you to explore, understand, and draw meaningful insights from the data.
In summary, copying the data set into another program allows you to leverage the capabilities of that program for statistical analysis, calculations, and visualizations, enabling you to gain deeper insights and draw meaningful conclusions from the data.
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find the direction angle of the given vector. give your answer in degrees in the interval . round to the nearest hundredth (2 decimal places). give just the number without the degree symbol.
The Direction Angle Of The Given Vector is θ = 59.086
Given :
The Direction Angle Of The Given Vector. V <-3,5) Give Your Answer In Degrees In The Interval [0°, 360°). round to the nearest hundredth (2 decimal places). give just the number without the degree symbol.
what is Direction angle of vector ?
The direction angle of a vector v is the angle from the positive x -axis to v .using the arc tangent of the ratio of the vertical component of the vector and the horizontal component of the vector.
tan θ = b / a
= 5 / -3
= -5 / 3
= 1.67
θ = tan^-1 ( 1.67 )
θ = 59.086
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Find the surface area of the following triangular prism. surface area=_________ ft²
312 ft²
Step-by-step explanation:3 rectangles
2 triangles
4 yd = 12 ft
A = 4ft×12ft + 8ft×12ft + 10ft×12ft + 2×6ft×8ft/2
= 48ft² + 96ft² + 120ft² + 48ft²
= 312 ft²
Answer:
336
Step-by-step explanation:
Got it right
You are welcome :)
how many apples are in 4 dozen
There are 48 apples in 4 dozen
Explanations:1 dozen = 12
This means that:
1 dozen of apples = 12 apples
4 dozen = 12 x 4
4 dozen = 48 apples
72 divided by x=3.16 divided by .015
Answer:
x = 0.34177215
Step-by-step explanation:
Answer:0.3418
Step-by-step explanation:
Mr. Hooper has a tree in his front yard that grows every year. If the tree was 3 feet tall when he planted it 6 years ago , what is the current height of the tree in terms of f?
A. 3f + 6 feet
B. 6f + 3 feet
C. 3f + 18 feet
D. 6f + 18 feet
The last statement of a two column proof is always what you are asked to Prove.
Select the correct response:
True
False
The given statement is true.
Only answer question 2
there are 12 grams of sugar in 3 fluid ounces of soft drink A. there are 15 grams of sugar in 4 fluid ounces of soft drink B. Which drink contains more sugar in a 12 ounce can ?
Answer:
drink A
Step-by-step explanation:
drink A has 4 grams of sugar per ounce (12 ÷ 3)
drink B has 3.75 grams of sugar per ounce (15 ÷ 4)
The number of mold cells doubles every 12 minutes. At this moment, there are x mold cells present on a piece of bread. Which of the following represents the number of mold cells present one hour from now?
Answer:
Step-by-step explanation:
Suppose that at time \(t_0\) we have x mold cells. We are told that after 12 minutes the amount present is double. That is a \(t= t_0+12\) we have 2x cells. Then, at \(t = t_0+24\) we have (2x)*2 = 4x. We can continue as follows
\(t: t_0+36\) we have (4x)*2 = 8x.
\(t: t_0+48\) we have (8x)*2 = 16x
\(t: t_0+60\) (one hour later) we have (16x)*2 = 32x.
So after one hour from now we have 32x cells.
The no. of mold cells one hour from now will be 32\(x\).
Given,
The number of mold cells doubles every 12 minutes.
Let at time \(t\) we have x mold cells.
So, after 12 minutes, the no of molds at\(,t_{12} =t+12\) the no. of mold will be\(2x.\)
After further 12 minutes at, \(t_{24} =t+24\), the no. of mould will be \(4x\).
After further 12 minutes at, \(t_{36} =t+36\), the no. of mold will be \(8x\).
After further 12 minutes at, \(t_{48} =t+48\), the no. of mold will be \(16x.\)
After further 12 minutes at, \(t_{60} =t+60\), the no. of mold will be \(32x\).
Hence the no. of mold cells one hour from now will be 32\(x\).
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Explain how to find the mean using the first model.
Answer:
Im not sure if this helps but the Mean is when you add all of the number together.
Step-by-step explanation:
on the question your doing is 1 to 10.
you add 1+2+3+4+5+6+7+8+9+10=55
your mean would be 55
The sum of two trains is 720.2 miles per hour. If the speed of the first train is 9.8 mph faster than that of the second train,find the speeds of each
Answer:
First train = 365 miles per hour
Second train = 355.2 miles per hour
Step-by-step explanation:
If the speed of the second train is represented by x, then the first train's speed is (x + 9.8)
We can form the following equation:
x + (x + 9.8) = 720.2
2x = 720.2 - 9.8
x = 710.4 / 2
x = 355.2 = speed of second train
Speed of first train = 355.2 + 9.8 = 365
Lily took out a 5-year loan from the bank for 31000.00 to purchase a new car. At the end of the loan, she paid a total of 37975. Find the interest rate on the loan.
Answer:
24.5%
Step-by-step explanation:
Simple Interest = (principal×rate×time)÷100. *Brackets First*
Transpose the formula to make rate the subject: rate= (100×simple interest) ÷ (principal×time).
Plug in values: rate = (100×37975) ÷ (31000×5).
The result is 24.5%.
Evaluate log4 exponent 0.5
We can claim that after answering the above question, the So, logarithm \(log4 (0.5^(1/2)) =-0.0752\)
what is logarithm?The logarithm is a power's reciprocal in mathematics. Accordingly, the exponent by which b must be raised to obtain a number x equals the logarithm of that number in base b. For instance, since 1000 = 103, its base-10 logarithm is 3, or log10 = 3. As an illustration, the base 10 logarithm of 10 is 2, while the square of 10 is 100. Log 100 = 2. To answer a question like, For example, how many times must a base of 10 be multiplied by itself to achieve 1,000, a logarithm (or log) is the mathematical term utilized. The solution is 3 (1,000 = 10 10 10).
Using the following property of logarithms:
\(log_a (b^c) = c * log_a (b)\\log4 (0.5^(1/2))\\(1/2) * log4 (0.5)\\log4 (0.5) = log (0.5) / log (4)\\log (0.5) ≈ -0.3010\\log (4) = 2\)
Therefore,
\(log4 (0.5) ≈ -0.3010 / 2 ≈ -0.1505\\(1/2) * log4 (0.5) ≈ (1/2) * (-0.1505) ≈ -0.0752\\\)
So, \(log4 (0.5^(1/2)) =-0.0752\)
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The mathematics department of a college has 12 male professors, 15 female professors, 15 male teaching assistants, and 11 female teaching assistants. If a person is selected at random from the group, find the probability that the selected person is a teaching assistant or a female. The probability is?
ANSWER :
41/53
EXPLANATION :
From the problem,
there are 12 male professors, 15 female professors, 15 male teaching assistants, and 11 female teaching assistants.
We are asked to find the probability that the selected person is a teaching assistant or a female.
The number of teaching assistants is 15 + 11 = 26
The number of females is 15 + 11 = 26
The number of female assistants is 11
The number of teaching assistants or females = (number of teaching assistant) + (number of females) - (number of female assistants)
That will be :
\(\text{ number of teaching assistants or females }=26+26-11=41\)The probability is 41 out of the total number persons (12 + 15 + 15 + 11 = 53)
That will be :
\(\frac{41}{53}\)help asap ty
will possibly mark brainliest.
Answer:
Step-by-step explanation:
Letter B is the correct answer
Initial population is 200, tripled every hour
200 x 3 = 600
First hour 200
Second hour = 600 + 200 = 800
Third hour 800x3 = 2400 + 800 = 3200
and so on.