Answer:
436
Step-by-step explanation:
[tex]45-29\times 16 + 875-20= \\\\45-464+875-20= \\\\-419+855=\\\\436[/tex]
Hope this helps!
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.
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.
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!!
N/6 = 15/4 N=____? Help please
Answer:
N = 22.5
Step-by-step explanation:
N/6 = 15/4
Using cross products
4N = 6*15
4N = 90
Divide each side by 4
4N /4 = 90/4
N = 45/2
N = 22.5
Answer: N=22.5
Step-by-step explanation:
N/6=15/4
N*4=15*6
4N=90
4N/4=90/4
N=22.5
Can I please get help with this?
[tex]\pi \times d[/tex]
22/7×21.6
=67.88
=70
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
Leon has already run 1 mile on his own, and he expects to run 3 miles during each track practice. Write an equation that shows the relationship between the practices p and the distance d.
Answer:
d = 1 + 3p
Step-by-step explanation:
Leon already ran 1 miles on his own and he is expected to cover a distance d of 3 miles during each practice. The number of practices is expressed as p and the distance covered is expressed as d.
For every track practice he is expected to cover a distance of 3 miles. Recall he has already cover 1 mile on his own.
Therefore, the relationship between the practices p and the distance d can be expressed as follows.
number of track practice = p
distance covered = d
The distance covered d in miles is 1 miles plus the number of track practice p multiply by 3
d = 1 + 3p
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:
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
#SPJ2
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:
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!
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
A line has a slope of Negative one-fourth and passes through point (Negative five-fourths, 1). What is the equation of the line? y = negative one-fourth x + StartFraction 21 Over 16 EndFraction y = negative one-fourth x + StartFraction 11 Over 16 EndFraction y = negative one-fourth x minus one-fourth y = negative one-fourth x minus five-fourths
Answer:
Your answer is the second option: y= -1/4x + 11/16
Good luck on the test btw I hope u get 100% !!
Answer:
B) y= -1/4x + 11/16
Step-by-step explanation:
I just took the quiz on edge
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.)
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
please help me for the brainliest answer
Answer:
a) aₙ=9n - 2
b) aₙ= (n+4)² -8, aₙ= (n+4)² -3, aₙ= (n+5)² -5
Step-by-step explanation:
a) 7, 16, 25, 34, 43, ...
AP with the first term of 7, and common difference of 9
aₙ= a₁+(n-1)d= 7+(n-1)*9= 7+9n-9= 9n -2
aₙ= 9n - 2
b) Pattern 1
If we assume
a₁= 3*2+3²
then
aₙ= 2(n+2) + (n+2)²= 2n+4+n²+4n+4= n²+8n+16- 8= (n+4)² -8
aₙ= (n+4)² -8
Pattern 2
If we assume
a₁=3*2 +(3+1)²
then
aₙ= 2(n+2)+(n+3)²= 2n+4+n²+6n+9= n²+8n+16 -3= (n+4)² - 3
aₙ= (n+4)² -3
Pattern 3
If we assume
a₁=3*2 +(3+2)²
then
aₙ= 2(n+2)+(n+4)²= 2n+4+n²+8n+16= n²+10n+25 -5= (n+5)² - 5
aₙ= (n+5)² -5
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
Which list correctly orders A, B, and C from least to greatest when A = –8, B = StartAbsoluteValue negative 6 EndAbsoluteValue, and C = StartAbsoluteValue 11 EndAbsoluteValue? A, B, C C, A, B B, A, C C, B, A
Answer:
A, B, C
Step-by-step explanation:
A = -8
B = |-6| = 6
C = |11| = 11
Least to greatest, negatives are the least and between 6 and 11, 11 is the greatest.
Answer:
B,C,A
Step-by-step explanation:
simplify expression 4(x^2)^4 x (-x)^3
Answer:
-4x^11
Step-by-step explanation:
[tex]4(x^2)^4*(-x)^3\\(4x^2)^4*-x^3\\4x^8*-x^3\\[/tex]
-4x^11
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
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.
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
Shia received a large package in the mail. What is a reasonable weight for the large package? A 20 grams B 36 pounds C 52 ML D 68 inches
Answer:
36 pounds
Step-by-step explanation:
Its a "large" package. So it's going to be heavy
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.
I need help with this problem
Answer: A. 94
Step-by-step explanation:
The formula for surface area is A=2(wl+hl+hw).Wwe are given our values of width, length and height, so we can plug them in.
w=3
l=4
h=5
A=2((3*4)+(5*4)+(5*3))
A=2(12+20+15)
A=2(47)
A=94
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
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:
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
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!!!
Cual es el 5% de 6000
Answer:
Explanation:
I hope you understand this