Answer:
-3
Step-by-step explanation:
[tex]2*10^{-3}[/tex], n= -3.
What is fraction?A fraction is a number which represents the part of a whole or collection of objects. It is in the from of a/b where a represents the numerator part and the b represents the denominator parts.
The width of a human hair is about 0.002 inches,
It can be written in fraction form as,
[tex]\frac{2}{1000}[/tex]⇒ [tex]\frac{2}{10^{3} }[/tex]
By writing [tex]10^{3}[/tex] in reciprocal from we get,
[tex]2*10^{-3}[/tex], then n= -3.
Hence, [tex]2*10^{-3}[/tex], n= -3.
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By how many factors of 10 did you multiply 0.008? Why?
Answer: 3
Step-by-step explanation:
Move the decimal back to its point of origin
To multiply a number by a power of 10, you move the decimal point to the right by the number of zeros in the power of 10.
Explanation:When multiplying a number by a power of 10, you can count the number of zeros in the power of 10 and move the decimal point that same number of places to the right.
In the case of multiplying 0.008 by 10, the power of 10 is 1, so you would move the decimal point one place to the right, resulting in 0.08.
Therefore, you multiply 0.008 by 10 to get 0.08.
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A certain machine is to contain two wheels, one of radius 2 inches and one of radius 8 inches. The manufacturer of this machine needs to produce a belt that will fit snugly around the two wheels, as shown in the diagram below. How long should the belt be?
Answer:
See Below
Step-by-step explanation:
The length of the belt is the length around 2 inch radius wheel PLUS length around 8 inch radius wheel.
The length around a circular region is its circumference. The formula is:
[tex]C=2 \pi r[/tex]
Where
C is circumference
r is the radius
We sum up both, given first one radius is 2 and second one radius is 8, so we have:
[tex]2\pi r + 2 \pi r \\=2 \pi (2) + 2 \pi (8)\\=4\pi + 16 \pi\\= 20 \pi\\=62.83[/tex]
The length of the belt should be around 62.83 inches
What is the median of this set of numbers?
3, 6, 1, 10, 6, 2, 2, 5
A
5
B
3
C
2
D
4
Answer:
d. 4
Step-by-step explanation:
Arranging in ascending order
1 , 2 , 2 , 3 , 5 , 6 , 6 , 10
No of data (N) = 8
Position of median
= (N+ 1) / 2 th item
= (8 + 1) / 2 th item
= 9 / 2 th item
= 4.5 th item
Exact median
= (5 + 3 )/2
= 8/2
= 4
The graph of which function is decreasing over the interval (–4, ∞)?
Step-by-step explanation:
ok, logic
all of them are parabolas
1st and 3rd are opening up, so they defenitely increase, so no
decraseing
the vertex hs to be be at x=-4
y=a(x-h)^2+k
h has to be -4
y=a(x+4)^2+k
the answer is 2nd one or f(x)=-(x+4)^2+4
Answer:
B
Step-by-step explanation:
Find the distance between (2, 3) and (–4, 4). If necessary, round to the nearest tenth.
Answer:
√37
Step-by-step explanation:
A right triangular pyramid has a height of 10 inches and a base area of 41.57 square inches. What is the volume, in cubic inches, of the pyramid?
The volume of the rectangular pyramid with the given values of height and base area is 138.5 cubic inches.
What is a right triangular pyramid?A right triangular pyramid is simply a triangular pyramid which has an equilateral base, and whose top is directly above the base's centroid.
The volume of right triangular pyramid is expressed as;
V = 1/3 × b² × h
where b is the length of the base and h is the perpendicular height.
Given the data in the question;
Height of the pyramid h = 10in Base area A = 41.57in²First we find the dimension of the base length.
Since area square is A = b².
Hence;
41.57in² = b²
b = √41.57in²
b = 6.447in
Now, we substitute our values into the expression above.
V = 1/3 × b² × h
V = 1/3 × (6.447in)² × 10in
V = 1/3 × 41.563809in² × 10in
V = 138.5in³
Therefore, the volume of the rectangular pyramid with the given values of height and base area is 138.5 cubic inches.
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Find all values of x in 17/x-12/x-12/(x-1)2
Answer:
Step-by-step explanation:
To solve
17/x-12/x-12/2(x-1)
5/x-12/2x-2
The LCM of x and 2x-2 is x and 2x-2
5(2x-2)-12x/x(2x-2)
10x-10-12x/x(2x-2)
To collect like in numerator
-2x-10/x(2x-2)
A system of linear equations graphs as parallel lines. The system has how many solutions?
Answer:
None
Step-by-step explanation:
Parallel lines never intercept, giving no solution points
A coat is marked down 40% off the original price. If the
original price was S115.00, what is the sale price of the
coat before sales tax?
Answer:
$69.00
Step-by-step explanation:
Hi there,
In order to solve this problem, I used this formula:
Dollar Markdown = (markdown %)(original price)
You will end up with Markdown = (0.4) (115).
(Be sure to convert the percentage to a decimal value. (ex. 40% = 0.4))
After multiplying, we find that 46 dollars is 40% of the original price.
For the final step, simply subtract the original price by the amount marked down to get $69.00.
Hope this was useful. Cheers.
What is the solution to the equation 4x-6= 10x-3?
Answer:
To solve this equation we need to get x by itself.
4x-6=10x-3, (the first step would be adding 6 to both sides.)
4x=10x+3 (the next step is the subtract ten from both sides.)
-6x=3 (Last step is the divide both sides by -6.)
x=-1/2
Hope this helps ;)
how do you solve this?
Answer:
Step-by-step explanation:
Identify the location of the values used to create a box
plot
A= B=
C=
D =
E =
Answer:A= minimum value
B=lower quartile
C=median
D= upper quartile
E= maxuim value
Step-by-step explanation:
Final answer:
A box plot displays the distribution of data based on a five-number summary: minimum, first quartile, median, third quartile, and maximum. It provides insights into the data's distribution, potential outliers, and comparisons of data sets.
Explanation:
The student's question involves the creation and interpretation of a box plot, which is a standardized way of displaying the distribution of data based on a five-number summary: minimum, first quartile (Q1), median, third quartile (Q3), and maximum. To graph a box-and-whisker plot for the given data values, one must first calculate the five-number summary:
Minimum (A): The smallest data value.First quartile (B): The median of the lower half of the data set. This marks the 25th percentile, meaning 25% of the data fall below this value.Median (C): The middle value of the dataset when ordered from least to greatest, which also splits the data into two halves.Third quartile (D): The median of the upper half of the data set. This marks the 75th percentile, so 75% of the data fall below this value.Maximum (E): The largest data value.Once these values are determined, one can create a box plot where the box represents the interquartile range (IQR), stretching from Q1 to Q3, with a line at the median (C). Whiskers extend from the box to the minimum (A) and maximum (E) values. Analyzing the box plot can give insights into the data set, such as the distribution of the data, any potential outliers, and the comparison of different data sets.
Tickets to a spring concert are $5.00 for students and $8.00 for adults. 250 tickets to the concert were sold for a total of $1550. How many tickets adult tickets and how many student tickets were sold?
Answer:
100 adult tickets
150 students tickets
Step-by-step explanation:
First, construct an equation that relates the tickets.
For the first equation, 5x represents $5 per ticket for students and 8y represents $8 per ticket for adult, showing the money earned.
For the second equation, x represents student tickets and y represents adult tickets, showing the tickets sold.
[tex]5x+8y=1550\\x+y=250\\[/tex]
Then, you have to cancel out similar factors. I will multiply the second equation by -5 because that is the easiest option for this specific case.
[tex]-5(x+y=250)\\-5x-5y=-1250\\5x+8y=1550\\3y=300\\y=100[/tex]
We have solved for y, which is how many adult tickets were sold. To solve for student tickets, we will solve the second equation.
[tex]x+y=250\\x+100=250\\x=150[/tex]
As a result we have 100 adult tickets and 150 student tickets.
Hope this helps!! <3
Which number best represents the situation. "A plane descends 1, 500ft?
1,500
15
-1,500
-15
Which is the angle of rotational symmetry for the isosceles trapezoid?
Angle of rotational symmetry for the isosceles trapezoid is 180 degrees .
Given, rotational symmetry for isosceles trapezoid .
The trapezium, also known as the trapezoid is a plane figure with four sides, two of which are of equal length.
If the other two sides are also of same length then the figure is said to be isosceles trapezoid .
There is no symmetry in a trapezoid unless it is an isosceles trapezoid. In that case it has one axis of symmetry that cuts the two bases in half. An 180 degree rotation about this axis produces the same figure. There are no other lines of symmetry.
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What will be the total area of the garden and the walkway?
A. 504 ft^2
B. 594 ft^2
C. 638 ft^2
D. 648 ft^2
E. 696 ft^2
Ted and Katie have served up a total of $94 Tata saved six dollars less than four times as much is Katie how much has Katie saved
Answer:
Katie saved $20.
Step-by-step explanation:
I assume that "served" is a typo for "saved". Also, I assume that Tata and Ted are the same person.
Let the amount Katie saved = k
Then, ted saved $6 less than 4 times k, or 4k - 6.
The total saved by both is k + 4k - 6.
The total saved by both is $94.
k + 4k - 6 = 94
5k - 6 = 94
5k = 100
k = 20
Answer: Katie saved $20.
Final answer:
To determine the amount Katie has saved, two equations were set up based on the given information. The equations were solved simultaneously to find that Katie has saved $20.
Explanation:
Let's denote the amount Katie has saved as K and the amount Tata has saved as T. According to the problem, Tata saved six dollars less than four times as much as Katie, which we can write as T = 4K - 6. Additionally, we know that together they have saved a total of $94, so we can express this as K + T = 94. Substituting the expression for T from the first equation into the second equation, we get K + (4K - 6) = 94. Simplifying this, we get 5K - 6 = 94. By adding 6 to both sides, we obtain 5K = 100, and dividing by 5, we find that K = 20. Therefore, Katie has saved $20.
Sophia wanted to knit a scarf 1 meters long. On Monday, she knit
of the length. On Tuesday, she knit another 45 centimeters.
What fraction of the scarf did she knit altogether?
She knit 1/4 of the total length of the scarf on monday
Answer:
She knit 7/10 of the scarf altogether
Step-by-step explanation:
Please see the attached file for explanation
x=y-4 and 2x+4y=10 help me
Answer:
Step-by-step explanation:
1. x = y-4
0 = y - 4 -x
4 = y - x
2. 2x+4y = 10
x+4y = 5
x+y = 5/4
Find the range of each set of data.
Answer:
set 1 =11 set 2 =208 Set 2 has the wider spread since the range is bigger
Step-by-step explanation:
range- find the largest number and subtract the smallest number from it
Set 1: 12-1 =11
Set 2: 230-22 =208
Calculate the angle of LOM
Answer:
The angle measurement is 68 degrees
Step-by-step explanation:
The line NL is a straight line, so the angle is 180
NOM and LOM add up to the straight line
Then, subtract 112 from 180 to get 68 degrees as the answer
Answer:
68°
Step-by-step explanation:
1.) 112 + x = 180
2,) subtract 112 to both sides
112 + x = 180
-112 = - 112
x = 68
Find the value of x and y in the diagram below 9 30 degrees
Answer:
not enough information.
Step-by-step explanation:
Answer: D!!
Step-by-step explanation:
David has a monthly net income of $1,360. His fixed monthly expenses consist of a rent payment of $450. He is paying off a student loan of
$116 per month
David would like to buy a new television set using a credit card. What is the largest montly payment David can afford for the television set so
that his credit card payments and stuent loan keep him within a safe debt load?
The largest monthly payment David can afford for the television set is $794.
Explanation:To determine the largest monthly payment David can afford for the television set, we need to calculate his monthly expenses and subtract them from his net income. David's fixed monthly expenses consist of a rent payment of $450 and a student loan payment of $116. Therefore, his total monthly fixed expenses are $450 + $116 = $566.
We can subtract David's total monthly fixed expenses from his net income: $1,360 - $566 = $794. This is the maximum amount David can afford to allocate towards credit card payments and still stay within a safe debt load.
So, the largest monthly payment David can afford for the television set is $794.
27x+3=6
Whats is x in that problem
Answer:
x=1/3
Step-by-step explanation:
You have to isolate the variable, so you must first separate the constants from the variable. Add 3 on both sides to cancel out the minus three and to move it to the other side. Now you have 27x=9. It's pretty simple from there just use your calculator and divide 27x/27 and also 9/27. That leaves you with 1/3
To solve for x in the equation 27x+3=6, we subtract 3 from both sides, divide both sides by 27, and get the solution x = 1/9.
Explanation:To solve for x in the equation 27x+3=6, we'll start by isolating the variable x. First, subtract 3 from both sides of the equation to get 27x = 3. Then, divide both sides by 27 to find the value of x.
Subtract 3 from both sides: 27x + 3 - 3 = 6 - 3Simplify: 27x = 3Divide both sides by 27: x = 3 / 27Simplify the fraction: x = 1/9Therefore, the solution to the equation is x = 1/9.
Have a Sibling Only Child
Have Chores 7 9
Do Not Have Chores 8 6
The table represents the results of a class survey. What is the relative frequency that someone will have chores, given that they have a sibling?
A) 0.21
B) 0.44
C) 0.47
D) 0.53
Answer: 0.47
Step-by-step explanation:
Answer:
C) 0.47
Step-by-step explanation:
Some people were asked for their favorite numbers.
People's favorite numbers between 1 and 5
X
X
X
X
X
HHHHH
1 2 3 4 5
Favorite number
What is the mean of the numbers?
Answer:
3 is the mean.Step-by-step explanation:
To find the mean you need to add up all of the given numbers (order does not matter) then divide by that many numbers.
Add all 5 numbers then divide by 5.
1 + 2 + 3 + 4 + 5 = 15
15 / 5 = 3
I hope this helped!
Answer:
3 is mean
Step-by-step explanation:
Day 1 2 3 4 5
Temperature (°F) 70 72 68 75 70
The temperature for 5 days is shown in the table. If on the 6th day the temperature was 83°, by how much will this increase the overall median temperature?
A) 1°.
B) 2°.
C) 3°.
D) 4°.
Answer:
the answer is b 2
Step-by-step explanation:
Final answer:
Adding a sixth temperature of 83°F to the original data set increases the median temperature from 70°F to 71°F, which is an increase of 1°F. Thus, option A is correct.
Explanation:
The question is asking how much the addition of a sixth day's temperature of 83°F will increase the overall median temperature of the previously recorded five days.
First, we need to arrange the temperatures of the first five days in ascending order: 68°, 70°, 70°, 72°, and 75°. The median of these five numbers is 70°F, which is the middle value.
When we add a sixth temperature of 83°F, the new set of temperatures will be 68°, 70°, 70°, 72°, 75°, and 83°.
With an even number of data points, the median is the average of the two middle numbers which are now 70° and 72°F. The average of 70°F and 72°F is 71°F.
Thus, the new median is 71°F, which is a 1°F increase from the original median of 70°F.
Therefore, the correct answer is A) 1°.
What is the area of of this tile 6 in and 2 in
Answer:
12 inches squared
Step-by-step explanation:
If it is 6 inches by 2 inches, then you multiply 6 by 2 to get 12 inches squared.
Answer:
12 inches squared
Step-by-step explanation:
6 x 2 = 12
Because it's area, you need to make sure that the units are squared.
0.8342 as a fraction?
Answer:
4171/5000
Step-by-step explanation:
When diving 4171 by 5000, you get the answer of 0.8342. If you are using a calculator, you can use a button that allows you to convert decimals to fractions and vice versa.
The decimal number 0.8342 as a fraction in the simplest form is 4171/5000.
What is a fraction?In Mathematics and Geometry, a fraction simply refers to a numerical quantity (numeral) which is not expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number.
In this exercise and scenario, we would convert the given decimal number into a fraction as follows;
0.8342 = 8342/10000
By dividing both the numerator and denominator by 2, we have the following
8342/10000 = 4171/5000
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Please help me with this
Answer:
a b c and e
Step-by-step explanation:
Answer:
The fist one
Step-by-step explanation: