Answer:
D) 4
Step-by-step explanation:
Pythagorean theorem,
base² + altitude² = hypotenuse²
3² + altitude² = 5²
9 + altitude² = 25
altitude² = 25 - 9
altitude² = 16
altitude = √16 = 4
4s - (s - 12) = 1- (1 - 6s)?
Answer:
s=-4
Step-by-step explanation:
combine like terms on each side and get 3s-12=6ssubtract 3s from both sides to get -12=3sdivide both sides by three and get s=-4Plz someone help me with this problem for math
What is the mass of 2.5 moles of carbon dioxide?
Answer:
110 grams
Step-by-step explanation:
CO2 molecule is made up of Carbon (atomic mass =12) and oxygen (atomic mass=16).
So first finding the mass of 1 molecule of CO2 which is equals to
= mass of 1 carbon atom + masses of 2 oxygen atom, we get
= 12+(16*2)= 12+32= 44 a.m.u.
Now 1 molecule of CO2 has mass 44 amu so mass of 1 mole CO2 will be 44 grams.( 1 a.m.u.=1.6729*10^-33 grams. 1 mole = 6.022*10^23, so 44 a.m.u.=73.6076*10^-33 grams approx. For one mole CO2, 73.6076*10^-33*6.022*10^23 which is approximately equals to 44 grams. )
1 mole CO2= 44grams, so 2.5 moles = 44*2.5= 110 grams
So our answer is 110 grams.
lowkey hope this helped you, good luck whatever you need it for Imaooo
find the number of distinct permutations of the word "CALCULATOR."
Given:
The word is "CALCULATOR."
To find:
The number of distinct permutations.
Solution:
In the word "CALCULATOR",
The number of letters = 10
In which, we have 2 C, A, L and 1 U, T, O, R.
We know that,
[tex]^nC_r=\dfrac{n!}{(n-r)!}[/tex]
[tex]^nC_n=\dfrac{n!}{(n-n)!}=n![/tex]
To find the number of distinct permutations of the given word need to divide permutation of all letter by the permutations of repeated letters.
[tex]\text{Total ways}=\dfrac{^{10}C_{10}}{^2C_2\ ^2C_2\ ^2C_2\ ^1C_1\ ^1C_1\ ^1C_1\ ^1C_1}[/tex]
[tex]\text{Total ways}=\dfrac{10!}{2!2!2!1!1!1!1!}[/tex]
[tex]\text{Total ways}=\dfrac{10\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times 1}{2\times 2\times 2\times 1\times 1\times 1\times 1}[/tex]
[tex]\text{Total ways}=453600[/tex]
Therefore, the number of distinct permutations of the word "CALCULATOR" is 453600.
Number of distinct permutation of the word "CALCULATOR." is 453600
How to solve this problem?
permutations of the word "CALCULATOR"Total number of words in "CALCULATOR" is 10
we find out the words that are repeating
A is repeating twice (2)
C is repeating twice (2)
L is repeating twice (2)
Number of permutations = number of letters !/ repeating letters!
Number of distinct permutation =
[tex]\frac{10!}{2!2!2!} \\\frac{10\cdot9\cdot8\cdot7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1}{2\cdot2\cdot2} \\453600[/tex]
Number of distinct permutation of the word "CALCULATOR." is 453600
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what was the median of a number plot again? its the.........middle right? XD
Raj got 51 out of 60 points on his quiz what percentage of the total points did raj get
If f(x) = x and g(x) = 2, what is (f•g)(x)?
Answer:
A
Step-by-step explanation:
(f*g)(x)=(2)*(x)=2x
A
the diameter of a circle is 12 feet. what is the area?
Answer: Area=113.1 ft²
Step-by-step explanation:
Area equation= πr2
1/4*π*d^2
1/4*π*12^2≈113.09734ft²
113.1 ft²
Please help, due Tomorrow. Will mark brainlist if correct
Answer:
Its non-linear and decreasing
Step-by-step explanation:
Answer:
( -∞,2)
Step-by-step explanation:
The function is decreasing from the left up until the vertex
Question 2 (1 point) (11.01 MC) Nina has a piece of fabric measuring 5 yards. How many 1-inch strips can be cut from the fabric? (1 point) a 17 strips b 50 strips c 60 strips d 120 strips
Answer:
180 strips
Step-by-step explanation:
Note that:
1 yard = 36 inches
5 yards = x
Cross Multiply
x = 5 × 36 inches
x = 180 inches
Hence:
1 piece of fabric = 180 inches
How many 1-inch strips can be cut from the fabric?
180 inches = 1 piece of fabric
1 inch = x
x = 180 strips
4. What is the volume of the cone shown below?
Round to the nearest tenth.
5 ft.
d = 2 ft.
Answer:
5.2 cubic ft
Step-by-step explanation:
took the test
The volume of given cone is 5.23 cubic feet.
What is volume?Volume is the measure of the capacity that an object holds.
Formula for the volume of cone[tex]v = \frac{1}{3} \pi r^{2} h[/tex]
where,
v is the volume of cone
r is the radius of cone
h is the height of cone
According to the question we have
Diameter of cone is 2ft
⇒ radius of the cone = [tex]\frac{2}{2} = 1 feet[/tex]
Height of the cone is 5ft.
Therefore,
The volume of the cone = [tex]\frac{1}{3}(1)\pi( 1)^{2} (5)[/tex]
Volume of cone = [tex]\frac{1}{3} (3.14)(1)(5) = 5.23 cubic feet[/tex]
Hence, hence the volume of given cone is 5.23 cubic feet.
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14.36 subtracted by 15.12 ?
Answer:
-0.76
Step-by-step explanation:
Answer:
-0.76
Step-by-step explanation:
this is pretty simple subtraction but you just take 14.36 and subtract it by 15.12 and you know it will be a negative number because 15.12 is bigger than 14.36 and so your answer is -0.76
A=πr2 If the radius (r) of the circle is 3, what is the area in terms of π?
hope it's helpful ❤❤❤❤❤❤
THANK YOU.
A fence is being built in the shape of a right triangle. Each leg is 30 feet
long. What is the measure of the longest side of the triangle?
Answer:
42.42641
Step-by-step explanation:
1. Find the measure to S
63
153
68
148 all are in degrees btw
Two functions, A and B, are described as follows: Function A y = 9x + 4 Function B The rate of change is 3 and the y-intercept is 4. How much more is the rate of change of function A than the slope of function B? (5 points)
Answer:
The answer to this problem is 6.
Step-by-step explanation:
If you deposit $5000 into an account paying 8.25% annual interest compounded
semiannually, how long until there is $9350 in the account?
Answer:
2 t
2 t
2 t
2 t
0.0825 9350 5000 1
2
9350 5000(1.04125)
1.87 1.04125
log(1.87) log(1.04125 )
log1.87 (2t)(log1.04125)
log1.87 2t
log1.04125
15.48512579 2t
t 7.7
Step-by-step explanation:
the answer is 7.7
there will be $9350 in the account after 7 years and 9 months.
What is compound interest?The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest. A = P(1 + r/n)^nt, where P is the principal balance, r is the interest rate, n is the number of times interest is compounded annually, and t is the number of years, is the formula for compound interest.
Given, If you deposit $5000 into an account paying 8.25% annual interest compounded semiannually.
To calculate time until there is $9350 in the account.
So,
From the general formula of Compound interest:
A = P(1 + r/n)^nt,
where P is the principal balance,
r is the interest rate,
n is the number of times interest is compounded annually,
and t is the number of years,
In our case,
A = 9350
p = 5000
r = 8.25
n = 2
Thus,
9350 = 5000(1 + 8.25/2%)^2*t
(1 + 8.25/2%)^2*t = 9350/5000
t = 7 years 9 months
Therefore, there will be $9350 in the account after 7 years and 9 months.
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Can somebody explain to me how to do this
Answer:below hopes it helps the link should help aswell
Step-by-step explanation:
https://mathsolver.microsoft.com/en/solve-problem/%60frac%7B%2010%20%7B%20q%20%20%7D%5E%7B%205%20%20%7D%20%20%20%7B%20w%20%20%7D%5E%7B%207%20%20%7D%20%20%20%20%7D%7B%202%20%7B%20w%20%20%7D%5E%7B%203%20%20%7D%20%20%20%20%7D%20%20%20%60frac%7B%204%20%7B%20%60left(%20%7B%20q%20%20%7D%5E%7B%206%20%20%7D%20%20%20%60right)%20%7D%5E%7B%202%20%20%7D%20%20%20%20%7D%7B%20%20%7B%20w%20%20%7D%5E%7B%20-5%20%20%7D%20%20%20%20%7D
Find the value of y and
simplify completely.
Answer:
y = 8
x = 8√5
z = 4√5
Step-by-step explanation:
Using the formula (which is a geometric mean):
a y
---- = -----
x a
Where a is the altitude (y), x is a projection (16), and y is the other projection (4):
y 4
---- = -----
16 y
Cross multiply:
y² = 16 (4)
y² = 64
√y² = √64
y = 8
To find x and z, use the Pythagorean Theorem:
16² + y² = x²
256 + 8² = x²
256 + 64 = x²
320 = x²
√320 = √x²
√64√5 = √x²
8√5 = x
x = 8√5
4² + y² = z²
16 + 64 = z²
80 = z²
√80 = √z²
√16√5 = √z²
4√5 = z
z = 4√5
the diagram shows a convex polygon, what is the value of b?
A band earns $400 for playing at the festival the manager is pay 10% of the money earned and the band is saving 15% of the money earned to put towards Recording expenses how much money is left for the band to split?
help i don’t really know how to do this
Answer:
A
Step-by-step explanation:
The graph of y = e^x is transformed as shown in the graph below. Which equation represents the transformed
function?
y=e^x+3.
The given graph of the function y = e^x
he transformation occur when we add c to the parent function y = e^x giving us a vertical shift c unit in the same direction as the sign.
The y axis of a coordinate plane is the vertical axis. When a function shifts vertically, the value of y changes.
The given parent function: y = e^x,
we can now graph the vertical shift alongside i.e, c=3
Then, the upward shift function is, y = e^x + c
Substitute the value of c=3,
then, the transformed equation becomes, y = e^x + 3
as it goes through (0,4).
∴The equation y = e^x + 3 represents the transformed function.
Answer:
y=e^x+3.
Step-by-step explanation:
Can someone pl help. Thx
Answer:
3.10?
Step-by-step explanation:
i dont know sorry if its wrong
a paper drinking cup in the shape of a cone has a height of 12 cenimeters and a diameter of 10 cenimeters. which of the following is closest to the volume of the cup in cubic cenimeters? select one: A) 314cm B) 418cm C) 942cm D) 1,256cm
Answer: Is A
Step-by-step explanation:
I don't know if I am completely correct
Find the value of x.
3x-5
2x+1
I have 30 but I need to double check, please help
Answer:
well the answer for the first one is -15
A seven sided polygon with angle measures x, x minus 15, 107, x plus 7, 125, 122, and 131 degrees.
What is the value of x?
Answer:
x = 150
Step-by-step explanation:
x + x - 15 + 107 + x + 7 + 125 + 122 + 131 = 630
3x + 180 = 630
3x = 450
x = 150
The value of x is 150
What is a polygon?A polygon is a closed figure made up of three or more line segments connected end to end.
We are given that seven sided polygon with angle measures x, x minus 15, 107, x plus 7, 125, 122, and 131 degree
Therefore, the sum of all the angles are;
x + x - 15 + 107 + x + 7 + 125 + 122 + 131 = 630
3x + 180 = 630
3x = 450
x = 150
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10
Sandy works at a clothing store. She makes $8 per hour plus earns 10% commission on her sales. She worked 76 hours over the
last two weeks and had a total of $1,913 in sales before taxes.
Which of the following is closest to how much she will earn in hourly wages and commission for those two weeks?
OA. $252
OB. $799
OC. $191
OD
$608
Reset
Submit
of 10
Answer:
B
Step-by-step explanation:
= 8 * 76 =
10% * $1,913 = 191.3
Total = $608 + $191.3
= $799.3 approximately $799
Eloise has 293 books that she must package into boxes. Each box must hold 8 books. Eloise divides 293 by 8 and gets an answer of 36 R 5.
What is the correct interpretation of R 5 for this situation?
Answer:
it means there are five books left, and the 36 boxes are filled
sin(3pi/4)sec(5pi/3)
need help solving this problem pls !! trig