Answer:
n=4/3
Step-by-step explanation:
n*(-3/8)=-0.5
n=0.5/3/8
n=1/2 / 3/8
n=4/3
Check:
4/3*-3/8=-0.5
4/3*-3/8=-1/2
-1/2=-0/5
CORRECT!
find the area of the regular decagon if the apothem is 5 inches and a side is 3.2 inches. Round to the nearest whole number
When you are given the side length and apothem of a regular polygon and asked for area, you are expected to use the formula
... A = (1/2)Pa
where P is the perimeter of the polygon, "a" is the apothem, and A is the area.
The only additional information you need is that a decagon has 10 sides, so its perimeter is 10×3.2 inches = 32 inches.
The area is ...
... A = (1/2)(32 in)(5 in)
... A = 80 in²
_____
Sometimes the dimensions of a problem like this don't quite add up. The geometry of a regular polygon means that the apothem can be found from the side length and vice versa. In this case, the side length of 3.2 inches means the apothem is about 4.92 inches; or the apothem of 5 inches means the side length is about 3.25 inches. Either way, the area is slightly different from that computed using the given numbers.
This is why I say you're expected to use the above formula. (You're not expected to think about it too much.)
Approximate square root of 5, 13, 21 and 38
[tex]\sqrt{5}=2.23607, \sqrt{13}=3.60555, \sqrt{21}=4.58258, \sqrt{38}=6.16441[/tex]
These are all approximate decimal versions of the given numbers' square roots. If you need help rounding the decimals to a certain number of digits, let me know.
I hope this helps :)
What values of x and y satisfy `-(13)/(3)x −2y = 7` and `3x + (2)/(5) y = 5` simultaneously?
A. x = 3 and y = −10
B. x = −3 and y = −3
C. x = 1 and y = 5
D. x = 3 and y = 10
A graph quickly shows the solution to be ...
... A. x=3 and y=-10
_____
There are a couple of different strategies you can employ to eliminate possibilities.
1. Since the equations involve fractions, you can look only at answers that deal well with the fractions. That is, look for x-values that are multiples of 3 and y-values that are multiples of 5. Right away, this suggests you are not interested in choices B and C.
2. You can look at the general nature of the equations to see where the lines lie on a graph. It can be handy to know that intercept form is ...
... x/a + y/b = 1
where a and b are the x- and y-intercepts, respectively. That is, you can divide by the constant on the right (or just pay attention to its sign) to check the signs of the intercepts. For the first equation, the intercepts are both negative. Hence there cannot be any 1st-quadrant solutions. (That line never goes through the first quadrant—eliminating choices C and D.)
Likewise, the intercepts for the second equation are both positive, so it will never go through the third quadrant—eliminating choice B.
An Uber fare in San Diego is $3.50 for the first ½ mile and additional mileage charged at a rate of $0.30 for each additional 0.1 mile. You plan to give the driver a $2 tip. How many miles can you ride for $15? Please show or explain your calculations.
Answer:
3.6 miles
Step-by-step explanation:
For a trip of x miles, there are x-0.5 miles of it that are "additional", which makes (x-0.5)/0.1 additional tenths.
Then the charges (in dollars) are ...
... 3.50 + 0.30(x -0.5)/0.1
Adding a tip of $2 and requiring the total be less than $15 gives ...
... 3.50 + 0.30(x -0.5) + 2.00 ≤ 15.00
... 5.50 + 3(x - 0.5) ≤ 15.00 . . . . simplify a bit
... 4.00 +3x ≤ 15.00 . . . . . . . . . . simplify more
... 3x ≤ 11.00 . . . . . . subtract 4.00
... x ≤ 3.667 . . . . . . divide by 3
Miles are measured in tenths. We cannot go 3.7 miles on $15, but we can go 3.6 miles.
HELP!! WORTH 20 POINTS
( anything )² = anything × anything
5² = 5 × 5 = 25
PLEASE KNOW BEFORE YOU ANSWER. I CAN'T GET THIS WRONG.
Identify and EXPLAIN the ERROR
Show CORRECT WORK and SOLUTION
Show CORRECT WORK and SOLUTION
THE FIRST PIC IS THE QUESTION!!!!
Answer:
a) Error: Moving the decimal point without changing the exponent changes the value of the number. The final number reported is different from the one computed.
b) Correct work: (see below)
... Correct solution: 1.035×10¹¹
Step-by-step explanation:
a) When the decimal point is moved to the left in the mantissa, its value is divided by 10 for each place the decimal point is moved. To keep the overall value of the number the same, the power of 10 must be increased to compensate. The increase in the exponent is the number of places the decimal point is moved left.
In this problem, the decimal point is moved 1 place left, so the exponent needs to be increased from 10 to 11.
b) Correct work:
[tex]\displaystyle(7.14\cdot 10^{10})+(3.21\cdot 10^{10})=(7.14+3.21)\cdot 10^{10}\\\\=10.35\cdot 10^{10}=1.035\cdot 10^{11}[/tex]
help me with this preblem
h(6) = 8
reading vertically from x = 6 , we get , horizontally that y = 8
Micheal's mean score for five tests was 82. if four of those tests were 83,75,93, and 67, what was the fifth score on his test?
Let T represent the fifth test score. The average is the sum of scores divided by their number.
... 82 = (83 +75 +93 +67 +T)/5
... 410 = 318 +T . . . . . . . multiply by 5
... 92 = T . . . . . . . . . . . . subtract 318
The fifth score was 92.
_____
One of the ways I like to work problems like these is to add the differences from the mean. Those are ...
1, -7, 11, -15
so their sum is -10.
The final score must be 10 above the mean in order for this total to be zero. 10 above the mean is 92.
Simplify 5 to the fifth power over 5 to the eighth power.
(5^5) / (5^8)
1 / 5^3
The answer is 1 / (5^3)
3.5x10^-2 of salt in one liter of water this is how much
2.64x10^20of liters water
Answer:
Total liters of salt in [tex]2.64*10^20[/tex] liters of water is [tex]9.24*10^18[/tex].
Step-by-step explanation:
If 1 liter of water contains [tex]3.5*10^-2[/tex] amount of salt,
Then,
[tex]2.64*10^20[/tex] liters of water will contain,
[tex]3.5*10^-2[/tex] should be multiplied by [tex]2.64*10^20[/tex].
Therefore,
Total liters of salt in [tex]2.64*10^20[/tex] liters of water is [tex]9.24*10^18[/tex].
solve the inequality:-3x-4/7 >5
x < - [tex]\frac{13}{7}[/tex]
add [tex]\frac{4}{7}[/tex] to both sides
- 3x > [tex]\frac{4}{7}[/tex] + [tex]\frac{35}{7}[/tex]
- 3x > [tex]\frac{39}{7}[/tex] ( divide both sides by - 3 )
note that when we divide/ multiply by a negative quantity we must reverse the inequality symbol
x < - [tex]\frac{13}{7}[/tex]
What's the length? Please help. Thanks.
I am attaching an image with explanation. I added in red labels like
(STEP NUMBER) <value in inches>
The STEP helps you follow the sequence of deductions, starting from dividing 24 by 4 to get "(1) 6 in" and so on from there. Lmk if there's something unclear.
The length is 9"
Subtract.
7 1/5 − (−3/5)
This would just be 7 1/5 + 3/5 since the negative sign gets distributed and makes (-3/5) into a positive number.
From there you have basic math and you get 7 4/5.
The subtraction of the given expression will be [tex]7\dfrac{4}{5}[/tex].
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
The subtraction will be calculated as:-
[tex]=7\dfrac{1}{5}-(-\dfrac{3}{5})[/tex]
[tex]= \dfrac{36}{5}+\dfrac{3}{5}\\\\\\= \dfrac{39}{5}\\\\\\= 7\dfrac{4}{5}[/tex]
Therefore subtraction of the given expression will be [tex]7\dfrac{4}{5}[/tex].
To know more about Expression follow
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Calculate the quotient of 54256/45
WILL GIVE BRAINLIEST Patrick decided to start his own business. his business made 35,000 the first year his profits have increased annually by an average of 2.5%
a. write and iterative (explicit) rule to model the sequence formed by patricks profits each year. Show your work
b. use the rule you wrote to determine what the profits will be after twelve years from the start of his business. round your answer to the nearest dollar. do not round until the end! show all fo your work
(a)
his profits increase annually by 2.5%, thus the profits each year form a geometric sequence with r = 1.025
that is 100 + 2.5 = 102.5% = 1.025
[tex]a_{n}[/tex] = 35000 × [tex](1.025)^{n-1}[/tex] ← explicit rule
(b)
[tex]a_{12}[/tex] = 35000 × [tex](1.025)^{11}[/tex] = 45923....
Profits after 12 years ≈ $46000
If the federal reserve sells 80000 in a treasury bond to a bank at 7% what is the immediate effect in the money supply
"It is decreased by $80,000" is the one among the following choices given in the question that would be an immediate effect on the money supply. The correct option among all the options that are given in the question is the first option or option "A". I hope that this is the answer that has actually come to your desired help.
mark brainliest plssss
Charlotte has invited 75 people to her party. The buffet menu below is for 25 people. Work out how many of the following she will need:
Charlotte will need 3 buffet menus to host 75 people!
help pls with math pls
slope = [tex]\frac{4}{3}[/tex] and equation of line is
y = [tex]\frac{3}{2}[/tex] x + 3
calculate the slope m using the gradient formula
m = ( y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = 2, 7 ) and (x₂, y₂ ) = (- 1, 3 )
m = [tex]\frac{3-7}{-1-2}[/tex] = [tex]\frac{-4}{-3}[/tex] = [tex]\frac{4}{3}[/tex]
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
calculate m using the gradient formula
with (x₁, y₁ ) = (- 4, - 3) and (x₂, y₂ ) = (0, 3 )
m = [tex]\frac{3+3}{0+4}[/tex] = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex]
the line crosses the y-axis at (0, 3 ) hence c = 3
y = [tex]\frac{3}{2}[/tex] x + 3 ← equation of line
Write the equation of the line parallel to the given line and passing through the given point. y= 1/2 x+2 through (0,4)
Parallel lines have the same slope, so the slope of the new line is 1/2.
The line passes through (0,4), and this gives the y-intercept, which would equal 4.
The equation now would be: y = 1/2x + 4
A survey of 80 students found that 24 students both play in a band and play a sport. But 22 students are not in band and do not play a sport. There are 48 students in the band. If being in band is the row variable and playing sports is the column variable, fill in the labels in the table.
Determine what each letter in the table should be to complete this two-way table.
b =
d =
f =
g =
h =
Answer:
b = 24
d = 10
f = 32
g = 34
h = 46
Step-by-step explanation:
From the given table we find that students who are in band = 48
So 24 + b = 48
b = 48 - 24
b = 24
Total students who do not play sports = h
And h = students in band + students not in band
h = b + 22
h = 24 + 22 = 46
h = 46
Total students who play sports and who do not play sports = 80
g + h = 80
g + 46 = 80
g = 80 - 46 = 34
g = 34
Total students who are not in band and not in band = 80
48 + f = 80
f = 80 - 48
f = 32
Students who are not in Band but either play sports or do not play sports = f
d + 22 = f
d + 22 = 32
d = 32 - 22 = 10
d = 10
Using the change of subject, the values of the alphabet b, d, f g, h calculated from the table are 24, 10, 32, 34, and 46 respectively.
To find b :
24 + b = total
24 + b = 48
b = 48 - 24
b = 24
To find h :
b + 22 = total
b + 22 = h
24 + 22 = 46
h = 46
To find g :
g + h = 80
g + 46 = 80
g = 80 - 46
g = 34
To find d :
24 + d = g
24 + d = 34
d = 34 - 24
d = 10
To find f :
d + 22 = f
10 + 22 = f
f = 32
Therefore, the values of b, d, f g, h are 24, 10, 32, 34, and 46 respectively.
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what is (2 x10^-3) x (4x10^4)?
top left choice is correct. 0.002 g is 10^(-3) time the approximate number of seed in the jar 4*10^4 (40000) = 10
Separate the equation like this:
(4x2) (10^-3 x 10^4)
Then multiply the first and add the powers:
Final Answer: 8 x 10^1
hope that helps :)
Celine observed that 80% of patrons at the local library liked reading sci-fi novels. If 35 patrons did not like reading sci-fi novels, how many patrons did enjoy sci-fi novels?
Part A: Write an equation in one variable that can be used to find the total number of patrons at the library? Define the variable used in the equation.
Part B: How many patrons enjoy reading sci-fi novels? Show your work.
Part A. Let the total number of patrons be x. Then the number of patrons that liked reading sci-fi novels is x-35. Now
x-35 is 80%
35 is 100%-80%=20%.
Mathematically, you can write a proportion:
[tex]\dfrac{x-35}{80}=\dfrac{35}{20},\\ \\x-35=\dfrac{35\cdot 80}{20},\\\\x-35=140,\\\\x=175.[/tex]
Part B. The total nuber of patrons is 175, 35 did not like the sci-fi novels, then 140 liked.
Final answer:
To find the total number of library patrons, set up an equation using the given information. Then, solve the equation to determine the number of patrons who enjoy reading sci-fi novels.
Explanation:
Part A: Let's represent the total number of patrons at the library as 'x'. Since Celine observed that 80% of the patrons liked reading sci-fi novels, we can say that 80% of 'x' patrons enjoy reading sci-fi novels.
Therefore, the equation to find the total number of patrons can be written as: 0.8x = x - 35.
Part B: To find the number of patrons who enjoy reading sci-fi novels, we can solve the equation from Part A. First, let's simplify the equation: 0.8x = x - 35.
Then, we'll subtract 'x' from both sides of the equation: 0.8x - x = -35.
Combining like terms, we have: -0.2x = -35.
Finally, we'll divide both sides of the equation by -0.2 to solve for 'x': x = (-35)/(-0.2).
Plugging in the values, we get: x = 175. Therefore, there are 175 patrons who enjoy reading sci-fi novels.
Really easy seventh grade math can I get this problem answered? Thanks!!
x = 15
since the figures are similar then the ratios of corresponding sides are equal
[tex]\frac{x}{6}[/tex] = [tex]\frac{20}{8}[/tex] ( cross- multiply )
8x = 6 × 20 = 120 ( divide both sides by 8 )
x = 15
Claire is considering investing in a new business. In the first year, there is a probability of 0.2 that the new business will lose $10,000, a probability of 0.4 that the new business will break even ($0 loss or gain), a probability of 0.3 that the new business will make $5,000 in profits, and a probability of 0.1 that the new business will make $8,000 in profits. a. Claire should invest in the company if she makes a profit. Should she invest? Explain using expected values.
The expected value of business profit is the sum of probability times profit:
... 0.2×(-10,000) + 0.4×0 + 0.3×5,000 + 0.1×8,000
... = -2000 + 1500 + 800
... = 300 . . . dollars
The expected value of the business return is slightly positve, so Claire should invest in the business.
Answer:
The answer above is correct
Point M belongs to AN , point N belongs to BM , AB = 18 in and AM : MN : NB = 1:2:3. Find MN.
MN = 6 in
add the parts of the ratio, 1 + 2 + 3 = 6
divide AB by 6 to find 1 part of the ratio
[tex]\frac{18}{6}[/tex] = 3 ← 1 part
AM = 3 in ← 1 part
MN = 2 × 3 = 6 in ← 2 parts
NB = 3 × 3 = 9 in ← 3 parts
and 3 + 6 + 9 = 18 in = AB
Find the values of x and y in the following equation
(x+yi)+(4+9i)=9-4i
A. x = 9 and y = -4
B. x = 5 and y = -13
C. x = -9 and y = 4
D. x = 5 and y = 13
Answer:
B. x = 5 and y = -13
Step-by-step explanation:
Equating real parts, we have ...
... x + 4 = 9
... x = 9 - 4 . . . . subtract 4
... x = 5
___
Equating imaginary parts, we have ...
... yi +9i = -4i
... yi = -4i -9i = -13i . . . . subtract 9i
... y = -13 . . . . . . . . . . . divide by i
[tex](x+yi)+(4+9i)=9-4i \\\\x+4+yi+9i=9-4i\\\\x+4+(y+9)i=9-4i\\\\x+4=9 \wedge y+9=-4\\\\x=5 \wedge y=-13 \Rightarrow \text{B}[/tex]
Can someone tell me X and Y?? I'm really bad at math
See the attached picture:
!! GEOMETRY HELP PLEASE !!
x = 10
[tex]\frac{x-2}{4}[/tex] = 2 ( multiply both sides by 4 to eliminate fraction )
x - 2 = 4 × 2 = 8 ( add 2 to both sides )
x - 2 + 2 = 8 + 2
x = 10
Find the missing number of each unit rate. 18/3= ?/1 and 12/2= ?/1
the answer is 6/1 and 6/1 simply divide and put the answer over one
Solve for x. 5x−2(x+1)=1/4 Enter your answer in the box. x =
x = [tex]\frac{3}{4}[/tex]
distribute the parenthesis on left side of equation and simplify
5x - 2x - 2 = [tex]\frac{1}{4}[/tex]
3x - 2 = [tex]\frac{1}{4}[/tex] ( add 2 to both sides )
3x = [tex]\frac{1}{4}[/tex] + 2 = [tex]\frac{9}{4}[/tex] ( divide both sides by 3 )
x = [tex]\frac{9}{4}[/tex] × [tex]\frac{1}{3}[/tex] = [tex]\frac{3}{4}[/tex]