Answer:
5693.251 = 5693.251, rounded to thousands (no change)5693.251 = 5693.3 rounded to tenths (rounded up as hundredths digit is 5)Step-by-step explanation:
Nearest thousandth = 5693.251
Nearest tenths = 5693.3
expand (x-4)^4 with binomial theorem or pascal's triangle
Answer:
(x-4)^4=x⁴+4x³(-4)¹+6x²(-4)²+4x¹(-4)³+(-4)⁴
=x⁴-16x³+96x²-256x+256
What are the answers to the following.
Answer:
Step-by-step explanation:
[tex]8-11 =-3\\\\b. -8+10 = 2\\\\c. 13+(-6) = 13-6 \\= 7\\\\d. 7-(-3)\\= 7+3\\=10\\\\e.-5-(-2)\\=-5+2\\=-3\\\\f. -15-(-25)\\=-15+25\\=10\\\\g. -3+(-6)-(-9)\\= -3-6+9\\=-9+0\\=0\\\\h.-20-(-9)-(-8)\\=-20+9+8\\-20+17\\=-3\\\\[/tex]
[tex]-2+3-(-4)+(-5)\\-2+3+4-5\\= 1-1\\=0\\\\\\b. 18-(-10)+(-19)-8\\=18+10-19-8\\28-27\\=1\\\\c. 65+(-72)-(-45)\\= 65-72+45\\=-7+45\\=38[/tex]
The formula for the area of a square is sº, where s is the side length of the square. What is
area of a square with a side length of 6 centimeters? Do not include units in your answer.
Answer:
36
Step-by-step explanation:
The formula for the area of a square is s², where s is the side length of the square.
If a square with a side length of 6 centimeters then we get,
S = 6
Now, Area of square
= s² = (6)² = 36
change 7/8 as a fraction in simplest form
Answer:
It's already it in it's simplest form. You can find the simplest form by dividing the fraction by two ( 4/8 for example, you can divide 4 by two, giving you 2, and divided 8 by two, giving you 4, which makes 2/4, and do it once more, giving you 1/2.
A baby weighs 100 ounces. Find the baby's weight in pounds and ounces.
Work Shown:
1 pound = 16 ounces
100/16 = 6.25
100 ounces = 6.25 pounds
100 ounces = 6 pounds + 0.25 pounds
-------
1 pound = 16 ounces
0.25*1 pound = 0.25*16 ounces
0.25 pounds = 4 ounces
------
100 ounces = 6 pounds + 0.25 pounds
100 ounces = 6 pounds + 4 ounces
100 ounces = 6 pounds, 4 ounces
13 = 2m + 5
whats m?
Answer:
M is 4
Step-by-step explanation:
in order to solve, 13=2m+5, you need to subtract 5 from both sides.
13=2m+5
-5 -5
Which is,
8=2m, then you divide both sides by 2. That gives you, 4=m. Therefor, m is 4.
A circle has a radius of \sqrt{45} 45 square root of, 45, end square root units and is centered at (-2.4,-4.8)(−2.4,−4.8)left parenthesis, minus, 2, point, 4, comma, minus, 4, point, 8, right parenthesis.
What is the equation of this circle?
Answer:
(x + 2.4)² + (y + 4.8)² = 45Step-by-step explanation:
Circle equation:
(x - h)² + (y - k)² = r², where (h, k) is the center, r - radiusSubstitute the values to get the equation:
(x - (- 2.4))² + (y - (-4.8))² = (√45)²(x + 2.4)² + (y + 4.8)² = 45Answer:
(x+2.4)^2 + (y+4.8)^2 =45
Step-by-step explanation:
What is the measure of angle X?
====================================================
Explanation:
Focus on triangle BDH
Interior angles B and D are given to be 40 and 31 respectively. Interior angle H is unknown
For any triangle, the interior angles always add to 180
B+D+H = 180
40+31+H = 180
H+71 = 180
H = 180-71
H = 109
Interior angle H is 109 degrees for triangle BDH
The exterior angle is 180 minus this measure
exterior angle = 180 - (interior angle)
exterior angle = 180 - 109
exterior angle = 71
Note how this is the sum of interior angles B and D, so you could use the remote interior angle theorem here.
Which item is more economical?
Answer:
what are the items
Step-by-step explanation:
What is the value of the rational expression below when x is equal to 3?
12 - x/X-6
A. 3
B. -3
C. 9
D. -9
E
What is the value of x in the equation 3x.. by y 18, when y27
Answer:
x = 15
Step-by-step explanation:
We need to find the value of x in the equation 3x – y = 18 when y = 27.
To find the value of x, put y = 27 in the above equation.
So,
3x - 27 = 18
3x = 45
x = 15
So, the value of x is 15.
Determine the intercepts of the line.
Y-intercept: (_,_)
X-Intercept: (_,_)
The net of a rectangular prism is shown below. What is the total surface area of this prism
Answer:
142 cm^2
Step-by-step explanation:
Okay, we can first break this down into 3 different rectangles.
3 x 5 rectangle
16 x 7 rectangle
3 x 5 rectangle.
From here, we just multiply these out and add them. 15 + 15 + 112 = 142. So our answer is 142 cm^2
Answer:
142 cm²
Explanation:
to find the surface area, you need to find the area of all of the boxes within the image above add them all together.
Starting in the middle row and working from left to right it is,
7×3+7×5+7×3+7×5
21+35+21+35=112
Than the bottom and top box is
3×5+5×3
15+15=30
Than you add both of them together,
112+30=142
Two-Step Column Proofs.
What is the surface area of the rectangular prism below?
A. 736 units2
B. 812 units2
C. 706 units2
D. 824 units2
Answer:it’s A
Step-by-step explanation:
took the test
When you subtract two positive integers is the result always a positive integer
Sai vì số Nguyên dương nhỏ trừ số nguyên dương lớn bằng số nguyên âm
find the slope that passes through the points : (-2, 5) & (-7,8)
Answer:
-3/5
Step-by-step explanation:
We can find the slope using the slope formula
m= ( y2-y1)/(x2-x1)
= ( 8-5)/(-7 - -2)
= (8-5)/(-7+2)
= 3/-5
- 3/5
2. What is the area of rhombusABCD? (Assume the diagonals of rhombus ABCD are equal).
Answer:
A=pq/2
=4.25·4.25/2
=9.03125
Step-by-step explanation:
If you like my answer than please mark me brainliest
Answer:
Step-by-step explanation:
Diagonal of rhombus bisect each other.
d₁ = AC = 4.25*2 = 8.5 cm
d₂ = 8.5 {Given diagonals are equal}
Area of rhombus = [tex]\frac{d_{1}*d_{2}}{2} \ where \ d_{1} \ and \ d_{2} \ are \ diagonals[/tex]
[tex]=\frac{8.5*8.5}{2}\\\\= \frac{72.25}{2}\\\\= 36.125 \ cm^{2}[/tex]
Can you just answer this question quickly please what is the answer to 420 12 it is multiplication. thanks
Answer:
the answer to 420 times 12 is 5,040
Step-by-step explanation:
Answer: The answer would be 5040.
Step-by-step explanation:
The average monthly rainfall for 6 months was 28.5 mm. If it had rained 1mm more each month what would the average have been? By how much would the total have been increased in six months and by how much would average have been increased per month? What's the answer??
Answer:
29.5 mm
Step-by-step explanation:
We are told that the average monthly rainfall for 6 months was 28.5 mm.
Thus, total for the 6 months = 28.5 × 6 = 171 mm
Now, we are told that it rained 1 mm extra each month.
So extra for the six months = 1 × 6 = 6mm
New total for 6 months = 171 + 6 = 177 mm
So, new average for 6 months = 177/6 = 29.5 mm
integers
[tex]18 \div ( - 9) = [/tex]
[tex] - 10 \div 2 = [/tex]
[tex] - 2 + ( - 6) = [/tex]
[tex] - 8 - 4 = [/tex]
[tex]( - 2 \times - 12) \div (18 \div - 9 = [/tex]
[tex](120 - 30) \div ( - 42 - 3) = [/tex]
[tex]1000 \div (125 \times - 2) = [/tex]
[tex](5 - 30) \div ( 8 - 3) = [/tex]
[tex]12 \div (4 - 8) = [/tex]
please mark this answer as brainlist
A teacher orders 20 copies of a new graphic novel for his class to read. Each of the books weighs the same amount. The total weight of all the books is 10 pounds, What is the weight of 1 book?
Answer:
Each book weighs 1/2 lbs
Step-by-step explanation:
Take the total weight and divide by the number of books
10 lbs/20 books
1/2 lbs per book
Each book weighs 1/2 lbs
PLEASE ANSWER QUICKLY ASAP
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope / gradient
c is the y intercept
a).y = 3x + 7
Comparing this equation with the general form above
Gradient of the line = 3
b).2y - 6x = 8
Divide both sides by 2
We have
y - 3x = 8
To make y the subject move 3x to the right side of the equation
That's
y = 3x + 8
Comparing with the general form above that's y = mx + c
The gradient = 3
c).y = 3x + 7
A(2 , y ) , B( x , 4)
Since they lie on the line we can substitute their values into the equation to find the missing points
For A(2 ,y)
We have
y = 3(2) + 7
y = 6 + 7
y = 13For B( x , 4)
4 = 3x + 7
3x = 4 - 7
3x = - 3
Divide both sides by 3
x = - 1Hope this helps you
Gabriella has a smart phone data plan that costs $25 per month that includes 10 GB of data, but will charge an extra $15 per GB over the included amount. How much would Gabriella have to pay in a month where she used 5 GB over the limit? How much would Gabriella have to pay in a month where she used went over by x x GB?
solve for r 5(r-10)= -51
Answer:
r= -1/5
Step-by-step explanation:
Step 1: Remove the parentheses (5r-10= -51)
Step 2: Move the constant to the right-hand side and change the sign (5r= -51 + 50)
Step 3: Calculate the sum of -51 +50 (5r = -1)
Last Step: Divide both sides by the equation by 5 (r = -1/5)
The solution for r in the equation is -1/5
The equation given is 5(r-10)= -51
To solve this question, use the distributive property. The distribute property entails expanding the terms in the bracket. This means multiply the terms in the bracket by 5
5(r - 10)
= 5 x (r - 10)
= 5r - 50
The equation then becomes : 5r - 50 = -51
The second step is to combine similar terms. This would be done by making use of the additive property of equalities: 50 would be added to both sides of the equation
5r = -51 + 50
5r = -1
The third step is to divide both sides of the equation by 5
(5r / 5) = (-1 /5)
r = -1/5
A similar question was solved here : https://brainly.com/question/17224218
Dylan is driving to a concert and needs to pay for parking. There is an automatic fee
of $5 just to enter the parking lot, and when he leaves the lot, he will have to pay an
additional s2 for every hour he had his car in the lot. How much total money would
Dylan have to pay for parking if he left his car in the lot for 6 hours? How much
would Dylan have to pay if he left his car in the lot for t hours?
Answer:
17
Step-by-step explanation:
6 x 2 = 12 so 12 + 5 = 17
Dylan would have to pay $17.
For such questions it is best to form an expression.
The parking fee has a fixed cost of $5.
It also has a cost per hour of $2.
This means that if a person spends t hours at the parking lot, they will have to pay $2 per hour for those t hours.
Expression = 2 x t = 2t
Whole expression including the fixed amount is:
5 + 2t
If Dylan parked for 6 hours therefore, he would pay:
= 5 + 2 t
= 5 + 2 x 6
= $17
Dylan would therefore have to pay $17 if he left his car for 6 hours.
Find out more at https://brainly.com/question/21294839.
Draw graph x + y = 7 and x - y = 2 on the same graph
Graphed in attached file and drawn!
Answer:
see attachment
Step-by-step explanation:
Solve for x: 2x+1= -3x+36
Answer:
x = 7
Step-by-step explanation:
2x + 1 = -3x + 36
2x + 3x + 1 = -3x + 3x +36
5x + 1 = 36
5x + 1 - 1 = 36 - 1
5x = 35
5x/5 = 35/5
x = 7
Answer:
first you would add 3x to -3x and 2x, then you would get 5x+1=36. Then you subtract 1 from 1 and 36. Then you get 5x=35. Then you divide by 5 to get the answer 7. so your answer is x=7
Step-by-step explanation:
hope this helps
Someone help asapppp
Answer:
1
Step-by-step explanation:
Answer:
1/ a
Step-by-step explanation:
go to desmos graphing calculator :) yea
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in june , john withdrew 1/5 of the money in his savings account. in july he withdrew 1/3 of what remained. in august, he withdrew 1/4 of the remaining balance.if he made no other transactions and ended up with $480 in her account, what did he start with?
Answer
28,800$
Step-by-step explanation:
480 x 4 = 1920 x 3 = 5760 x 5 = 28800