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How do I add 15% to $425?
Answer:
$444.25
Step-by-step explanation:
15 / 100 * 425 = 15 + 4.25 = $19.25
So $425 + $19.25 = $444.25
Answer:
$444.25
Step-by-step explanation:
Identify the index in the radical below.
Answer: 3
Step-by-step explanation:
The index is the number that multiplies with the radicand. The radicand in this equation is 6 and 3 is the index.
Please help me guys this is an emergency I will give you brainliest and points hurry up Thank you! (No.11only)
Answer:
6.75 cm
225.66 cm²
Step-by-step explanation:
V= 1/3lwh= 180
V= 1/3*10*8*h= 80h/3 cm³
h= 3V/80= 3*180/80= 6.75 cmSurface area of the pyramid:
A=lw+l√(w/2)²+h²+w√(l/2)²+h²
A= 10*8+10√(8/2)²+6.75² + 8√(10/2)²+6.75²= 225.66 cm²Answer:
Step-by-step explanation:
Volume of pyramid = 1
3 × base area × height
180 = 1
3 × 10 × 8 × height
180 = 80
3 × height
Height = 6.75 cm
part two
Let the slant height from V to PQ be l1 cm,
the slant height from V to QR be l2 cm.
Using Pythagoras’ Theorem,
l1 = square root(6.75^2 + 4^2) = 7.846 (to 4 s.f.)
l2 =square root(6.75^2 + 5^2)= 8.400 (to 4 s.f.)
Total surface area of pyramid
Area of all triangular faces + area of square base
2 (1/2*10*7.846+1/2*8*8.400)+10*8
2(39.23 + 33.6) + 80
145.66 + 80
226 cm2 (to 3 s.f.)
David tosses two coins the possible outcomes for tossing two coins is given what is the probability of both coins landing on heads as a reduced fraction
Answer:
1/2
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
Find the square root of 0.925 using long division method...
Answer:
0.96176920308
Step-by-step explanation:
i think so
Pls helpppppppppppppp
Answer:
a. √2⁴+3² = √16 + 9
= √25 = 5
The answer is a
b. √10²-2^6 = √100-64
= √36 = 6
The answer is b
Hope this helps.
Answer:
A.) should be C
B.) should be D
90% sure
10 The mass of a cube of side 2 cm is given as 100 g. The side is accurate
to the nearest millimetre and the mass accurate to the nearest gram.
Calculate the maximum and minimum possible values for the density of
the material (density = mass = volume).
sorry for this being so long I'm a rush but ask questions pls.
Step-by-step explanation:
The question specifies ranges of possible lengths and masses. The length can vary from about 19.5 millimeters to almost 20.5 millimeters. The mass can vary from about 99.5g to almost 100.5g.
For more about my use of the terms about and almost, and the reason for the “.5” values, see the Notes at the end.
Now:
A smaller object with a given mass will have a higher density;
A larger object with a given mass will have a lower density;
An object of given size with a smaller mass will have a lower density;
An object of given size with a larger mass will have a higher density.
This could be summed up by saying that density varies inversely with size but varies directly with mass.
So the lowest density occurs with the largest length and the smallest mass, while the highest density occurs with the smallest length and the largest mass.
Within the bounds of error, the largest possible length is about 20.4999…mm while the smallest possible mass is 99.5g. So doing the density calculation with these numbers will give the lowest possible density.
Similarly, doing the density with a length of 19.5mm and mass of 100.4999…g will give the largest possible density within the error bounds.
Notes
The first issue is with the term “accurate to the given millimeter”. My interpretation follows the guidelines in Illustrative Mathematics (under Solution) and appears, from the text in that page, to be consistent with the Common Core (which is the way we teach math to kids these days in the U.S.)
In the context of measuring the diameter of a circle, it says:
Juan finds that the circle is 5 cm or 50 mm in diameter. Since the tape measure is accurate to the nearest millimeter, this means that the actual diameter is between 4.95 centimeters and 5.05 centimeters.
There’s a deeper issue associated with rounding. The most common rule is that 0.5 rounds up. Thus the quote above is not quite correct; the actual diameter is between 4.95 centimeters and just less than 5.05, but not 5.05 exactly which would round to 5.1 centimeters.
The example in the linked page probably doesn’t deal with this subtle issue because it’s for kids who have not yet been taught about things like repeating decimals or the conceptual complexity of perfect rounding. I dealt with it by specifying “…” in the values above.
A 60-meter-long wire is divided into two parts such that the length of one part is 3/5 parts the length of the other. Determine the length of each part
Answer:
36 meters and 24 meters.
Step-by-step explanation:
[tex]60 \times 3/5\\180/5=36[/tex]
[tex]60 \times (1-3/5)\\60 \times 2/5\\120/5=24[/tex]
Answer:
37.5 m, 22.5 m
Step-by-step explanation:
Let length of first part be x
Length of second part be 3/5x
x + 3/5x = 60
5x + 3x = 60
8x = 300
x = 300/8 = 37.50 m
Second part is 3/5x
3/5 x 37.50 = 22.50 m
Select the correct answer. What is the domain of the function represented by this graph?
Answer:
Doman is the x intercpet range
Step-by-step explanation:
all real numbers is the domain since the function goes on and on forever and will at one point get to 1 billion or trillion or just on and on forever.
The Answer Is:
All Real Numbers
y=kx and x is doubled what happens to y
Answer:
see explanation
Step-by-step explanation:
Because the quantities are in proportion
When x doubles then y doubles
if a is not equal to b and 1/x+ 1/a= 1/b then x=
Answer:
ab / (a-b) =x
Step-by-step explanation:
1/x+ 1/a= 1/b
Multiply by axb to get rid of fractions
axb(1/x+ 1/a)= 1/b* axb
ab + bx = ax
Subtract bx from each side
ab+bx -bx = ax-bx
ab = ax-bx
Factor out x
ab = x(a-b)
Divide each side by (a-b)
ab / (a-b) = x (a-b)/(a-b)
ab / (a-b) =x
3 3/5 times (-8 1/3)
Answer:
-30
Step-by-step explanation:
3 3/5 × -8 1/3
Turn to improper fractions.
18/5 × -25/3
Multiply.
-450/15
Divide.
= -30
5, 14, 11, 16, 7, 5, 18, 9 What is the median?
Answer:
The median would be 10. The number in between 9 and 11 would be 10
Step-by-step explanation:
The numbers in order would be 5,5,7,9,11,14,16,18. Since there is an even amount of numbers in the sequence, the middle two numbers are 9 and 11. You add them together to get 20 then divide by 2. So the answer would be 10.
Hope this helped!!!
Can I please get help with this?
[tex]\pi \times d[/tex]
22/7×21.6
=67.88
=70
pls answer for branietest
Answer:
3 5/7
subtract the 3/7
4 3/7 - 3/7 = 4
4 = 28/7
28/7 - 2/7 = 26/7
26 /7 = 3 remainder 5 so 3 5/7
the whole number is the answer and the remainder is the numerator
3 5/7 is the answer
Hope this helps
Step-by-step explanation:
Write an
explicit formula for An, the nth
term of the sequence 22, 17, 12, ....
Answer:
-5n + 27
Step-by-step explanation:
The difference is -5.
The first term is 22.
Use the formula for nth term.
an = dn + (a - d)
a is the first term.
d is the difference.
an = - 5n + (22 - ( - 5 ))
an = -5n + (22 + 5)
an = -5n + 27
Answer:
27 - 5n.
Step-by-step explanation:
This is arithmetic with common difference = 17 - 22 = -5 (also 12 - 17 = -1).
nth term an = a1 + d(n - 1)
= 22 - 5(n - 1)
Which simplifies to 27 - 5n
Which of the following numbers is a whole number? 1.) 0.3 2.) -2/3 3.) -8 4.) 3
Answer:
3
Step-by-step explanation:
A whole number is not a decimal or a fraction (unless the fraction can be simplified to a whole number). A whole number is also not negative. That would make it an integer.
what is the relationship between the exponents of (3^2) ^4 and the exponents of 3 ^8
Answer:
They are equal
Step-by-step explanation:
Using the rule of exponents
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]
Given
[tex](3^2)^{4}[/tex] = [tex]3^{2.4}[/tex] = [tex]3^{8}[/tex]
The exponents of both expression are 8 and therefore equal
Emily is 41 years old. Colin is 10 years older than Emily. Dan is 15 years younger than Emily. What is the total of their combined ages?
Answer:
118
Step-by-step explanation:
E = 41
Colin is 10 years older than Emily. C = E + 10 = 41 + 10 = 51, C = 51
Dan is 15 years younger than Emily. D = E - 15 = 41 - 15 = 26, D = 26
E + C + D = 41 + 51 + 26 = 118
I need help with this problem... can someone help me ASAP please
Answer:
C. -2
Step-by-step explanation:
The slopes of parallel lines are always the same.
Please help ASAP :{ jhjkhybblvklmmm
Answer:
CStep-by-step explanation:
V=0.5*b*l*h
V=0.5*10*28*12
V=10*14*12
V=10*168
V=1680 m^3 or C
Answer:
C. 1680 m³
Step-by-step explanation:
Find the base of the triangular prism:
[tex]\frac{1}{2}*28m*12m=\\14m*12m=\\168m^2[/tex]
Now we can multiply the base by the height, 10.
[tex]168m^2*10m=\\1680m^3[/tex]
Our answer is C. 1680 m³
Find the 24th term of an arithmetic sequence for which a_1 = 2 and d = 6.
Answer:
140
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = 6 , thus
[tex]a_{24}[/tex] = 2 + (23 × 6) = 2 + 138 = 140
Answer: a₂₄ = 140
Step-by-step explanation:
The formula for an arithmetic sequence is: [tex]a_n=a_1+d(n-1)[/tex] where
a₁ is the first term of the sequenced is the difference between termsn is the term you are looking forGiven: a₁ = 2, d = 6, n = 24
a₂₄ = 2 + 6(24 - 1)
= 2 + 6(23)
= 2 + 138
= 140
The 24th term is 140.
Cual es el 5% de 6000
Answer:
Explanation:
I hope you understand this
what is the length of this line? khan academy - Distance between two points
Answer:
D = √[(x2 - x1)² + (y2 - y1)²]
Step-by-step explanation:
Given a right-angled triangle, with sides: Hypotenuse D, and opposites (x2 - x1) and (y2 - y1).
Then by Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the opposite side.
That is,
D² = (x2 - x1)² + (y2 - y1)²
Now, taking square roots of both side, we have the formula for the distance or length D.
D = √[(x2 - x1)² + (y2 - y1)²]
Find the surface area of the cone in terms of pi.
Answer:
First option is the correct choice.
Step-by-step explanation:
[tex]SA=\pi r^2+\pi r l\\\\=\pi \left(3\right)^2+\pi \left(3\right)\left(8\right)\\\\=33\pi \:ft^2[/tex]
Best Regards!
Suppose you start an annuity where you invest $2,000 at the beginning of each year and 4% interest is paid at the end of the year. What is the value of the annuity at the end of 5 years, rounded to the nearest dollar? It is
Answer:
$10,400
Step-by-step explanation:
If 2,000 dollars are being invested at the beginning of each year and gets a 4% interest at the end that means 2,000*104%=$2,080
It also continues on for 5 years so 2,080*5=$10,400
Answer:
10833
Step-by-step explanation
Use the formula
Sₙ=a₁ [tex]\frac{1-r^n}{1-r}[/tex]
a₁= 2000
r= 1+4%=1.04
n=5
plug back into equation
S₅=2000[tex]\frac{1-1.04^5}{1-1.04}[/tex] =10832.6
Rounded to the nearest dollar $10,833
the standard deviat
ion of the number 6,0,4,3and2is
Answer:
2
Step-by-step explanation:
First calculate the mean. This is done by adding the numbers and dividing by the count:
sum = 6+0+4+3+2 = 15
count = 5
mean = 15/5 = 3
Now create a table with the "squared deviation to the mean":
6: (6 - 3)² = 9
0: (0 - 3)² = 9
4: (4 - 3)² = 1
3: (3 - 3)² = 0
2: (2 - 3)² = 1
And sum these:
9+9+1+0+1 = 20
Divide by the count to find σ²:
σ² = 20/5 = 4
Hence σ = √4 = 2
Evaluate 32 + (4c − 6c) + (2 + 6c) for c = 5. A.22 B.64 C.−10 D.54
Answer:
The answer is option D
32 + (4c − 6c) + (2 + 6c)
c = 5
32 + ( 4(5) - 6(5)) + (2 + 6 (5)
= 32 + (20 - 30) + ( 2 + 30)
= 32 - 10 + 32
= 54
Hope this helps
Answer:
D. 54
Step-by-step explanation:
32 + (4c - 6c) + (2 + 6c)
Put c as 5 and evaluate.
32 + 4(5) - 6(5) + 2 + 6(5)
Multiply the terms.
32 + 20 - 30 + 2 + 30
Add or subtract the terms.
32 - 10 + 2 + 30
22 + 32
= 54
which expressions are equivalent to 2(2x + 4y + x - 2y)
2(x + 6y) and 2x + 12y
2(x+ 2y and 2x + 4y
2(3x + 2y) and 6x + 4y
2(3x + 6y) and 6x + 12y
Answer:
C. 2(3x + 2y) and 6x + 4y
Step-by-step explanation:
Hope I helped!!
work out the area of the semicircle with a radius of 18cm, take π to be 3.142 and write down all the digits given by the calculator
Answer ?.???? ?.???. ?????
Area of the semicircle = 509.004 cm²
What is semicircle?When an arc of a circle with its endpoints on the diameter cuts a circle into two equal halves, those halves are called semicircles.
Given,
radius of semicircle = 18cm
π = 3.142
Area of the semicircle = πr²/2
= 3.142 × 18×18/2
= 3.142 × 18×9
= 56.556×9
= 509.004 cm²
Hence, 509.004 cm² is the area of the semicircle.
Learn more about semicircle here:
https://brainly.com/question/29140521
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