Answer:
90,000
Step-by-step explanation:
The first 5 digit number is 10,000, and the last 5 digit number is 99,999, so everything in between these numbers must be a 5 digit number.
You can find the number of numbers in between by subtracting them.
99,999 - 10,000 = 89,999
However, when subtracting, you leave out one of the numbers, so you add 1, which gives 90,000.
This can be shown with a smaller problem, such as how many 1 digit numbers are there:
1, 2, 3, 4, 5, 6, 7, 8, 9 - 9 numbers
However, when you subtract the biggest and smallest numbers:
9-1 = 8
As you see, you are missing on of the numbers because you didn't add one of the numbers in the problem.
d^2=41 as a verbal expression
\(\huge\text{Hey there!}\)
\(\huge\boxed{\mathsf{d^2 = 41}}\)
\(\huge\boxed{\text{TAKE the SQUARE ROOT}}\)
\(\huge\boxed{\mathsf{d = \pm \sqrt{41}}}\)
\(\huge\boxed{\textsf{SIMPLIFY it}}\)
\(\huge\boxed{\mathsf{d = \pm \sqrt{41}\ or \sqrt{-41}}}}\)\(\huge\boxed{\mathsf{Answer: d = \bf \sqrt{41} \ or \ \sqrt{-41}}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\huge{\boxed{\frak{Amphitrite1040:)}}}\)
7x³ (x⁵ + 2x + 3) using the generic rectangle
To answer this question, we can proceed as follows:
\(7x^3\cdot(x^5+2x+3)\)Therefore, the answer is:
\(7x^8+14x^4+21x^3\)In this case, we need to multiply the monomial 7x^3 by each of the terms of the polynomial, using the method of the generic rectangle.
We sum the exponents, for example, (x^3 * x^5 = x^8) in each case, and also multiply the coefficients.
If you have 10 tennis players in a tournament with a round-robin setup, what is the total number of games they will need to play before each player has played every other player?
45, 15, 50, 8, 10, Any
In a 10-player round-robin tennis tournament, each player must play 45 games, and a total of 90 games will be played in the tournament.
A round-robin tournament is a type of competition in which every participant plays against every other participant. In a 10-player tournament, the number of games needed can be calculated using the formula for combination.
The density of a tournament can be defined as the number of games each player must participate in to play against every other player.
To calculate the density of a 10-player round-robin tournament, we use the formula
=> n(n-1)/2,
where n is the number of players.
In this case, n = 10. So, the density of the tournament is
=> 10(10-1)/2 = 45.
This means that each player must play 45 games in total, and each game involves 2 players.
So, there will be a total of
=> 45*2 = 90
games played in the tournament.
To summarize, The density of the tournament, 45 games per player, is calculated using the formula n(n-1)/2.
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The volume of a rectangular pyramid is 64 units^3 . If the length of the rectangular base measures 4 units and the width of the rectangular base measures 6 units, find the height of the pyramid.
Given the word problem, we can deduce the following information:
Volume of a rectangular pyramid=64 units^3
length of the rectangular base = 4 units
width of the rectangular base = 6 units
To determine the height of the pyramid, we use the formula as shown below:
\(h=3\frac{V}{lw}\)where:
V= Volume of the rectangular pyramid
l=length of the rectangular base
w=width of the rectangular base
h=height of the pyramid
We plug in what we know:
\(\begin{gathered} h=3\frac{V}{lw} \\ =3\frac{64}{(4)(6)} \\ \text{Simplify} \\ =\frac{192}{24} \\ h=8\text{ units} \end{gathered}\)Therefore, the height of the pyramid is 8 units.
Please help me i only know that it is irrational
Answer:
its irrational because it doesn't terminate or repeat
Step-by-step explanation:
the square root of 5 is 2.2360679775
Ruben bought 6 comic books for $21 . Each comic book was the same price.
What was the cost for 1 comic book
Answer:
1 comic book costs $3.50.
Step-by-step explanation:
21 ÷ 6 = 3.5
9. Which unit of measure would be appropriate for the volume of a cube with sides of 2 meters.
Answer:
The unit of measure appropriate is cubic metre or cubic meter (m³)
Step-by-step Explanation:
we know that
The volume of a cube is equal to
V = b^3
where b is the length side of the cube
In this problem we have
b = 2m
substitute in the formula of volume
V = 2^3
V = 8 m^3
therefore
The unit of measure appropriate is cubic metre (m³)
Find the annual percentage yield (APY) for the investment. $8000 at 4.75% compounded daily The annual percentage yield (APY) is%. (Type an integer or decimal rounded to three decimal places as needed.)
Answer:
The annual percentage yield (APY) is a measure of the return on an investment that takes into account the effect of compounding interest. To calculate the APY for an investment of $8000 at an interest rate of 4.75% compounded daily, you can use the formula:
APY = (1 + r/n)^(n*t) - 1
where r is the annual interest rate as a decimal (0.0475 in this case), n is the number of times the interest is compounded per year (365 for daily compounding), and t is the number of years (1 in this case).
Plugging these values into the formula gives:
APY = (1 + 0.0475/365)^(365*1) - 1 APY ≈ 0.0486
So, the APY for this investment is approximately 4.86%.
Step-by-step explanation:
A newspaper collected information on schools in its circulation area in order to compare their quality. Two measures the newspaper collected for each school, mean class size and mean score on a statewide reading exam, are shown in the scatterplot. One school in the report, Springside Elementary, is labeled in the graph.
Which is a true statement regarding Springside?
Springside does not affect the correlation.
Springside weakens the correlation shown in the scatterplot.
Springside strengthens the correlation shown in the scatterplot.
Removing Springside would increase the value of the correlation coefficient.
Interpreting the scatterplot, it is found that the correct option is:
Springside weakens the correlation shown in the scatterplot.
In the scatterplot, the mean test score is plotted as function of the mean class-size.From this, we can verify that as the mean class size increases, the mean score decreases, that is, there is a negative correlation between the mean class size and the mean test score.However, for Springside, the mean test score is greater than most other schools with smaller class sizes, which is a different result than expected, thus, it weakens the correlation, and the correct option is:Springside weakens the correlation shown in the scatterplot.
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PX, PY, and PZ are the perpendicular bisectors of ARST. Find PS and XT.
PS=
XT=
Answer:
Step-by-step explanation:
a 4500.00 g bowling ball rolling at a 4.0m/s I NEED HELPPP ASAPPP
Answer:
12
Step-by-step explanation:
Add the linear expressions.
(-1.41x - 0.01) + (5.62x + 2.73)
Answer:
4.21x+2.72
Step-by-step explanation:
(-1.41x - 0.01) + (5.62x + 2.73)
Combine like terms
-1.41x+5.62x -0.01+2.73
4.21x+2.72
Answer:
4.21x + 2.72
Step by step explanation:
( - 1.41x - 0.01 ) + ( 5.62x + 2.73 )
First solve the brackets.
- 1.41x - 0.01 + 5.62x + 2.73
Combine like terms.
-1.41x + 5.62x - 0.01 + 2.73
4.21x + 2.72
Describe how a formula is a transformation of a tool kit function.Then sketch a graph of a transformation.Be sure to include labels for the increments on your x and Y axis.
p(x) is a cubic polynomial, then if might be expressed as a transformation os a cubic function f(x) = x³.
This transformation is given by:
\(p(x)=f(\frac{1}{3}x)-3=(\frac{1}{3}x)^3-3\)Therefore, p(x) is the function f(x) translated 3 units down and widered by a factor of 1/3.
The graph of f(x) and p(x) is shown below:
Cuanto es ³/4 de cerezas
Answer:
3/8
Step-by-step explanation:
I’m confused on this
Answer:
x = 25
Step-by-step explanation:
The mistake here is the squaring. When you square one side, you have to do the same on the other side:
\(\sqrt{3x+6}\) = 9
\((\sqrt{3x+6}) ^{2}\) = \(9^{2}\)
3x + 6 = 81
3x = 75
x = 25
\(\huge\boxed{x=25}\)
The mistake is in Step 1. The solver should have also squared \(9\) when squaring the other side of the equation.
Correctly solving\(\begin{aligned}\sqrt{3x+6}&=9\\(\sqrt{3x+6})^2&=9^2\\3x+6&=81\\3x+6-6&=81-6\\3x&=75\\\frac{3x}{3}&=\frac{75}{3}\\x&=25\end{aligned}\)
a circle has central angle 144° and its arc length is 4 units. the radius of the circle is
The radius of the circle with a central angle of 144° and arc length of 4 units is approximately 1.5915 units.
The length of an arc in a circle can be found using the formula:
Arc Length = (Central Angle/360)(2πr)
Where the central angle is measured in degrees, π (pi) is approximately equal to 3.14, and r is the radius of the circle.
In this case, the central angle is 144° and the arc length is 4 units. Plug in the values and solve for the radius of the circle.
4 = (144/360)(2πr)
Solving for r, we can isolate it on one side:
r = 4 / ((144/360)(2π) = 4 / (0.4)(2π) = 1.5915 units
Therefore, the radius of the circle is approximately 1.5915 units.
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Write an algebra expression to represent each scenario:
“the sum of 12 and w”
Answer: 12+w
Step-by-step explanation:
Let s be the annual sales (in millions) for a particular electronic item. the value of s is 55.3 for 2008. what does s = 55.3 mean in this situation?
s = 55.3 in this situation means the annual sales that can be written in millions like 55.3 million sales in 2008.
Mean:
Mean is the fraction of the sum of the observed data by the total number of sample data.
That is,
Mean = Sum of all observations / number of observations
Given,
Let s be the annual sales (in millions) for a particular electronic item.
The value of s is 55.3 for 2008.
Here we need to find what does s = 55.3 mean in this situation.
According to the question,
s represents the annual sales (in millions) for a particular electronic item.
So,
s = 55.3
means the the annual sales (in millions) for a particular electronic item.
Like 55.3 millions of particular electronic item sold in 2008.
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1.Let x, y be any two numbers that satisfies the conditions x ≠0, y ≠0, and x 0
C.y/x>1
D.x/y<1
2.A pickup truck that can hold up to 3000 pounds is carrying a big machine that is 300 pounds and a few smaller ones that each weigh 60 pounds.
At least how many small machines can you fit so that it will not exceed the weight limit of the truck?
A.no more than 50
B.no less than 50
C.no less than 45
D.no more than 45
3.It usually takes Claude 40 minutes driving at 48 miles per hour to go from home to work. But due to road maintenance today, Claude has to take a detour, which makes the trip 8 miles longer than usual. What is the minimum speed Claude should travel so that he can reach the destination in less than 48 minutes?
A.30 miles per hour
B.56 miles per hour
C.50 miles per hour
D.64 miles per hour
*please make sure you answer all the questions please and thank you.
Answer:
x and y can be any two numbers greater than zero such that y is also greater than x
D.no more than 45
C.50 miles per hour
Step-by-step explanation:
Let the two numbers be such that x< y because we have been given y/x>1 and x/y< 1 .
Suppose we take y= 9 and x= 3 then
9/3 > 1
3>1
Also
3/9 < 1
1/3 < 1
x and y can be any two numbers greater than zero such that y is also greater than x
2. Total weight that can be carried is 3000 pounds.
The big machine is 300 pounds. The weight that the truck can carry beside the big machine is 3000-300= 2700 pounds.
The smaller machines weigh 60 pounds
The number of smaller machines that can be carried is 2700 ÷ 60= 45 other than the big machine.
3. Total distance = Speed * time
= 48 * (40/60) = 32 miles
New distance = 32+ 8= 40 miles
New time = 48 minutes
Speed = distance / time = 40/ 48/60= 50 miles per hour
A wire is bent into a circular coil of radius r=4.8 cm with 21 turns clockwise, then continues and is bent into a square coil (length 2r ) with 39 turns counterclockwise. A current of 11.8 mA is running through the coil, and a 0.350 T magnetic field is applied to the plane of the coil. (a) What is the magnitude of the magnetic dipole moment of the coil? A ⋅m
2
(b) What is the magnitude of the torque acting on the coil? N=m
The magnitude of the magnetic dipole moment of the coil is approximately 0.079 A·m². The magnitude of the torque acting on the coil is approximately 0.068 N·m.
(a) To find the magnitude of the magnetic dipole moment (M) of the coil, we can use the formula M = NIA, where N is the number of turns, I is the current flowing through the coil, and A is the area of the coil. For the circular coil, the area is given by A = πr², where r is the radius. Substituting the values N = 21, I = 11.8 mA = 0.0118 A, and r = 4.8 cm = 0.048 m, we can calculate the magnetic dipole moment as M = NIA = 21 * 0.0118 * π * (0.048)² ≈ 0.079 A·m².
(b) The torque acting on the coil can be calculated using the formula τ = M x B, where M is the magnetic dipole moment and B is the magnetic field strength. The magnitude of the torque is given by |τ| = M * B, where |τ| is the absolute value of the torque. Substituting the values M ≈ 0.079 A·m² and B = 0.350 T, we can calculate the magnitude of the torque as |τ| = M * B ≈ 0.079 A·m² * 0.350 T ≈ 0.068 N·m.
Therefore, the magnitude of the magnetic dipole moment of the coil is approximately 0.079 A·m², and the magnitude of the torque acting on the coil is approximately 0.068 N·m.
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severe difficulty in making mathematical calculations as a result of a brain disorder
Dyscalculia is a learning disorder that affects a person’s ability to do the math.
A learning problem called dyscalculia diminishes a person's capacity for math. Similar to how dyslexia impairs reading-related brain regions, dyscalculia interferes with the knowledge and skills connected to math and numbers. Although dyscalculia often first manifests in childhood, it can even affect adults who are unaware of it.
The signs of this condition typically emerge in childhood, particularly as kids start to master the fundamentals of math. However, many adults who suffer from dyscalculia are unaware of it. When forced to do the math, people with dyscalculia frequently experience mental health problems like anxiety, depression, and other distressing emotions.
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2+2 but make it longer and overdo it(have fun with it)
5+6-1+5=? Please and thank you
Name the property the equation illus 7+ (4+4)= (7+4) +4
Answer:
Associative property of addition
Step-by-step explanation:
Associative property of addition is a+(b+c)=(a+b)+c
jazz sold 1/2 sack of vegetable pear and 5/2 sack of squash. how many sacks of vegetables did he sell altogether?
Answer:
Jazz sold 3(6/2)sacks of vegetables.
Step-by-step explanation:
5/2 + 1/2 = 6/2. If you convert 6/2 into a mixed number you get 3.
Select the correct answer.
Which statement about a histogram is true?
A.
Histograms can plot both positive and negative values on both axes.
B.
Histograms can be used to exhibit the shape of distributions.
C.
Histograms are plots of individual data values.
D.
Histograms show the division of quartile regions for a distribution.
Answer:
answers B
Step-by-step explanation:
Suppose triangle GHJ cong triangle CVB.; CV=8.GJ=11 , and VB = 9 What is GH ?
Answer:
b
Step-by-step explanation:
You just purchased a share of SPCC for $97. You expect to receive a dividend of $7 in one year. If you expect the price after the dividend is paid to be $112, what total return will you have earned over the year? What was your dividend yield? Your capital gain rate?
The total return over the year is 15.46%. The dividend yield is 7.21%, and the capital gain rate is 15.46%.
The price of a stock is equal to the current dividend plus the present value of all future dividends plus the price in one year. As a result, the share price of SPCC after a year will be:$112 = $7 + $105 + PV$PV = $0
Using the formula of the total return of an asset, which is equal to its capital gain plus dividend yield, we have;Total Return = Capital Gain + Dividend YieldCapital Gain = (Ending Price - Initial Price) / Initial PriceCapital Gain = ($112 - $97) / $97 = 0.1546 or 15.46%Dividend Yield = Annual Dividend per Share / Initial PriceDividend Yield = $7 / $97 = 0.0721 or 7.21%
Therefore, the total return over the year is 15.46%. The dividend yield is 7.21%, and the capital gain rate is 15.46%.
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Ramon is graphing the function f(x) = 3(4)x. He begins by plotting the initial value. Which graph represents his initial step?
On a coordinate plane, the point (0, 3) is graphed.
On a coordinate plane, the point (0, 4) is graphed.
On a coordinate plane, the point (3, 0) is graphed.
On a coordinate plane, the point (4, 0) is graphed.
The graph that represents Ramon's initial step is, On a coordinate plane, the point (0, 3) is graphed.
What is an ordered pair?The ordinate and abscissa of the x coordinate, along with two values specified in parentheses in a specific order, make up an ordered pair.
Pair in Order = (x, y) where x represents the abscissa, the measure of a point's separation from the main axis, and y represents the ordinate, the measure of a point's separation from the secondary axis.
Given, Ramon is graphing the function f(x) = 3 + (4)x.
We know the initial value of a function is determined when the independent variable is set to zero.
Here the independent variable is 'x'.
Now, at x = 0,
f(0) = 3 + (4)(0).
f(0) = 3.
So, The ordered pair is (0, 3).
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Answer:
a
Step-by-step explanation:
HELP!! 2. in the figure, x is an exterior angle to the triangle below.
a) explain why x is equal to the sum of the measures of the two nonadjacent interior angles. You need to present the equation with the steps/work that proves this theorem.
Step 1: __ Step 2: __ Step 3: __
(b) what is the measurement of < x ?
Answer:
< x = 120°
Step-by-step explanation:
Step 1:
According to angle sum property,
y + 50 + 70 = 180
Step 2:
x and y are linear pairs, forming a supplementary angle.
Therefore,
x + y = 180
Step 3:
Since they are both equal to 180, equate the values
y + 50 + 70 = x + y
x = 70 + 50
x = 120