[tex]\\ \sf\Rrightarrow (10101)_2[/tex]
[tex]\\ \sf\Rrightarrow 1\times 2^0+0\times 2^1+1\times 2^2+0\times 2^3+1\times 2^4[/tex]
[tex]\\ \sf\Rrightarrow 1+4+16[/tex]
[tex]\\ \sf\Rrightarrow (21)_{10}[/tex]
Done!
What is the slope of the line?
-10 + = -3 I need help
Answer:
the answer is
7
Step-by-step explanation:
why is it 7 it is cause -10+7=3
Answer:
7
the answer is 7 because -10+7=-3
[tex] \sf \: If (3x-1) ^{7} = a _{7} x ^{7} + a _{6} x ^{6} + a _{5} x ^{5}+.... \\ \sf + a₁x + a _{0}, then \: \: a_0 + a₁ + a₂ + a_3 + a_4 + a_5 + a_6 + a7 = [/tex]
a)0
b)1
c)128
d)64
Please solve this for me. Need step-by-step explanation. Spam free answer required. Thank you in anticipation.
Answer:
hope it helps have a great day
Answer is option C
What is the equation of the line that passes through (-6,-2) and had a slope of -1/6
Answer:
[tex]y = -\frac{1}{6}x - 3[/tex]
Step-by-step explanation:
Slope Intercept Form : [tex]y = mx + b[/tex]
Using our slope, -1/6, input it for m, then plug the point (-6, -2) for x and y
[tex]y = mx+b\\\\-2 = (-1/6)(-6) + b\\\\-2 = 1 + b\\\\b = -3[/tex]
Equation : [tex]y = -\frac{1}{6}x - 3[/tex]
-Chetan K
moira solved rubik's cube in 3 minutes and 30 seconds. what is moira's solving rate?
In the context of rubiks cube solving the rate at which one can solve a rubiks cube is determined by the number of cubes solved and the time taken
In this question we were told that moira solved a rubiks cube in 3 minutes 30 seconds
Let us convert time total time to seconds
3 minutes 30 in seconds = 3*60+ 30 = 180+30 = 210 seconds
Hence Moira rate = 1 rubiks cube/210 seconds
Learn more about rate:
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A real estate agent sold a lot for P550,000.00. If his agency pays 10% commission, how much commission will he/she receive?
Answer:
P55,000
Step-by-step explanation:
The amount of commission is found by multiplying the commission rate by the value of the sale(s).
commission = rate × sales
commission = 0.10 × p550,000 = P55,000
The agent will receive P55,000 in commission.
_____
Check
The amount of commission cannot be more than the value of the sale. It is generally a small fraction of the sale value. Here, it is 1/10.
Students at Hampton Middle School sold T-shirts as a school fundraiser. Sylvie asked 12 random seventh-grade students how many T-shirts they sold for the fundraiser. The number of T-shirts each student sold is listed below. 3, 4, 8, 5, 2, 5, 0, 5, 3, 4, 3, 7 What is the mean of the data set rounded to the nearest tenth? 4. 0 shirts 4. 1 shirts 4. 5 shirts 4. 9 shirts.
Using it's formula, it is found that the mean of the data set is of 4.1 shirts.
The mean of a data-set is the sum of all observations divided by the number of observations.In this problem, the 12 observations are: 3, 4, 8, 5, 2, 5, 0, 5, 3, 4, 3, 7
Hence:
[tex]M = \frac{3 + 4 + 8 + 5 + 2 + 5 + 0 + 5 + 3 + 4 + 3 + 7}{12} = 4.1[/tex]
The mean of the data set is of 4.1 shirts.
For more on the mean of a data-set, you can check https://brainly.com/question/24628525
Use the relationship between the angles in the figure to answer the question Which equation can be used to find the value of x? Of x x+49-28 = 180
- 49 - 28 = 180
x + 49 + 28 = 180
x + 28 = 180
Answer:
x + 49 + 28 = 180
Step-by-step explanation:
The angle adjacent to x on the left is vertically opposite 49° and is congruent.
The 3 angles then lie on a straight line and sum to 180° , that is
x + 49 + 28 = 180
subtract:-
-5/12 from 2
2 5/12 or 29/12
hope it helps ?
study well:)
Answer: Deopends. See below.
Step-by-step explanation:
-5/12 from 2
The question is poorly worded. Is it asking us to subtract -5/12 from 2? Or are we being asked to subtract 5/12 from 2?
Assuming the first:
2 - (-5/12)
2 + 5/12
2 5/12 or 24/12 + 5/12 = 29/12
Assuming the second:
2 -5/12
24/12 - 5/12
19/12
Annika sells 6-inch pies for $5.00 and 8-inch pies for $9.00 each. Last week she sold twice as many 6 inch pies as she did 8-inch pies. She made $133.00 from her sales. Annika defined x as the number of 6 inch pies she sold and y as the number of 8-inch pies she sold. She wrote the system below.
6 x + 8 y = 133. 2 x = y.
Which statements about the system are true? Check all that apply.
1. Since the cost for each pie is $5 and $9, the first equation should be 5 x + 9 y = 133.
2. Since the 8-inch pies are 2 inches larger, the second equation should be x + 2 = y.
Since there are fewer 8-inch pies, the second equation should be x = 2 y to balance the values.
3. The first equation is correct because 6x represents the money earned for 6-inch pies and 8y represents the money earned for 8-inch pies.
Answer:
The number 3 is more accurate
Answer:
Since the cost for each pie is $5 and $9, the first equation should be 5x+9y=133
Since there are fewer 8-inch pies, the second equation should be x=2y to balance the values.
Step-by-step explanation:
can anyone find the area to this?
Answer:36
Step-by-step explanation: 3X4 or 3 rectangles plus tow rectanges that = 12
please help asap!!! due tonight!!
Answer:
It might be -10:9 or 9: -10 Hope this helps :)
Factorize: 2ay + 10ax - 3by - 15bx
Answer:
(2a-3b)(y+5x)
Step-by-step explanation:
2ay + 10ax - 3by - 15bx
2a(y+5x)-3b(y+5x)
(2a-3b)(y+5x)
Answer:
(y+5x) (2a - (3b))
Step-by-step explanation:
2a (2ay/2a + 2 x 5ax/2a) + 3b (-3by/3b - 3 x 5bx/3b)
2a (y+5x) + 3b (-y - (5x))
(y+5x) (2a(y+5x)/y+5x + 3b (-y-5x)/y+5x)
Find the future value of an annuity due of $7,000 paid at the beginning of each 6-month period for 8 years if the interest rate is 8%, compounded semiannually. (Round your answer to the nearest cent.)
Answer: Im not sure but i think its 120,960
Step-by-step explanation: i know that there is 2 of the 6-month periods in a year and multiplied that by 8 and got 16. Then i did 7000x.08=560 and then i added that to 7000 and got 7560. FInally i multiplied that by 16 and got 120,960.
help me pls... ....
Step-by-step explanation:
A1
1 yard = 3 feet
1 foot = 12 inches
therefore,
100 yards = 100×3×12 inches = 3600 inches
A2
again, 1 yard = 3 feet
8 ft = 8/3 = 2.67 yards = 2 2/3 yards
A3
1 gallon = 8 pints
A4
1 liter = 1000 milliliters (remember, "mili" means 1/1000).
therefore,
2.2 liters = 2.2×1000 = 2200 milliliters
A5
again, 1 liter = 1000 milliliters
therefore
1 milliliter = 1/1000 liter
670 milliliters = 670 × 1/1000 liter = 670/1000 liter =
= 0.67 liter
B1
1 kg (kilogram) = 1000 grams ("kilo" means 1000).
we have 3 layers.
each layer weighs (cake plus icing)
1/2 kg + 100 g = 500 g + 100 g = 600 g
3 layers then weigh
3×600 g = 1800 g
the additional candle weighs 250 g.
so, the total is
1800 g + 250 g = 2050 g = 2.05 kg
B2
area is 110 m².
1 m = 100 cm ("centi" means 1/100).
and 1 m² is then 100×100 = 10000 cm².
so, the area in cm² is
110 × 10000 = 1,100,000 cm²
the top area of one brick = 10 × 20 = 200 cm²
so, we need
1,100,000 / 200 = 11,000 / 2 = 5500 bricks
Given the curve [tex]\displaystyle \large{y=e^{-x}\sin x \ \ (x\geq 0)[/tex] let the area enclosed by the curve and the x-axis (above the x-axis) be S0, S1, S2, ... , Sn, ... in order from y-axis. Find [tex]\displaystyle \large{ \lim_{n \to \infty} \sum_{k=0}^{n} S_k}[/tex]
The given curve crosses the x-axis whenever x is a multiple of π, and it lies above the x-axis between consecutive even and odd multiples of π. So the regions with area S₀, S₁, S₂, ... are the sets
[tex]R_0 = \left\{(x, y) : 0 \le x \le \pi \text{ and } 0 \le y \le e^{-x}\sin(x)\right\}[/tex]
[tex]R_1 = \left\{(x, y) : 2\pi \le x \le 3\pi \text{ and } 0 \le y \le e^{-x}\sin(x)\right\}[/tex]
[tex]R_2 = \left\{(x, y) : 4\pi \le x \le 5\pi \text{ and } 0 \le y \le e^{-x}\sin(x)\right\}[/tex]
and so on, with
[tex]R_k = \left\{(x, y) : 2k\pi \le x \le (2k+1)\pi \text{ and } 0 \le y \le e^{-x}\sin(x)\right\}[/tex]
for natural number k.
The areas themselves are then given by the integral
[tex]S_k = \displaystyle \int_{2k\pi}^{(2k+1)\pi} \int_0^{e^{-x}\sin(x)} dy \, dx = \int_{2k\pi}^{(2k+1)\pi} e^{-x}\sin(x) \, dx[/tex]
Integrate by parts twice. Take
[tex]u = e^{-x} \implies du = -e^{-x} \, dx[/tex]
[tex]dv = \sin(x) \, dx \implies v = -\cos(x)[/tex]
so that
[tex]\displaystyle \int e^{-x}\sin(x) \, dx = -e^{-x}\cos(x) - \int e^{-x}\cos(x) \, dx[/tex]
then
[tex]u = e^{-x} \implies du = -e^{-x} \, dx[/tex]
[tex]dv = \cos(x) \, dx \implies v = \sin(x)[/tex]
so that
[tex]\displaystyle \int e^{-x}\cos(x) \, dx = e^{-x}\sin(x) + \int e^{-x}\sin(x) \, dx[/tex]
Overall, we find
[tex]\displaystyle \int e^{-x}\sin(x) \, dx = -e^{-x}\cos(x) - e^{-x}\sin(x) - \int e^{-x}\sin(x) \, dx[/tex]
or
[tex]\displaystyle \int e^{-x}\sin(x) \, dx = -\frac12 e^{-x} (\cos(x)+\sin(x)) + C[/tex]
Using the antiderivative and the fundamental theorem of calculus, we compute the k-th area to be
[tex]\displaystyle S_k = -\frac12 e^{-(2k+1)\pi} (\cos((2k+1)\pi)+\sin((2k+1)\pi)) + \frac12 e^{-2k\pi} (\cos(2k\pi)+\sin(2k\pi))[/tex]
[tex]\displaystyle S_k = \frac12 e^{-2k\pi} \cos(2k\pi) \left(e^{-\pi} + 1\right)[/tex]
[tex]\displaystyle S_k = \frac{e^{-\pi}+1}2 e^{-2k\pi}[/tex]
Since [tex]\left|e^{-2\pi}\right|<1[/tex], the sum we want is a convergent geometric sum. As n goes to ∞, we have
[tex]\displaystyle \lim_{n\to\infty} \sum_{k=0}^n S_k = \frac{e^{-\pi}+1}2 \cdot \frac1{1 - e^{-2\pi}} = \boxed{\frac{e^\pi+1}{4\sinh(\pi)}}[/tex]
No files please help me on this for math
Answer:
y=3x+8
Step-by-step explanation:
Answer:
y=1.5x+11
Step-by-step explanation:
If l || m, find the value of x
Answer: 9
Step-by-step explanation:
Answer:
9!
Step-by-step explanation:
The Sea Lions are facing off against The Otters in fantasy football. The Sea Lions scored -12 points this
week The Otters scored -17 points this week
Which one of the following inequalities correctly compares the scores?
Choose 1 answer:
-17> -12
8
B
-12 > -17
Which one of the following descriptions is correct?
Choose 1 answer:
Answer:
the answer is b -12 is closer to being a positive number making it worth more than -17. so you're answer would be -12>-17
[tex]x3 = -8[/tex] i want the answer
Answer:
x=-8/3
Step-by-step explanation:
14b = −56
i need help figuring out what this is i'm doing it but i keep getting it wrong please help
Answer:
-4
Step-by-step explanation:
14b = -56
divide by 14
-56 ÷ 14 = -4
b = -4
I hope this helps!
Answer:
b = -4
Step-by-step explanation:
[tex]14b = -56\\\\rule{150}{0.5}\\\frac{14b=-56}{14}\\\\ \boxed{b = -4}[/tex]
Hope this helps.
The table represents the function f(x).
x
-3
-2
-1
0
1
2
3
f(x)
-9
-6
-3
0
3
6
9
What is f(3)?
-9
-1
1
9
Answer:
f(3) = 9
Step-by-step explanation:
The value for f(3) is given in the table (last entry)
But one can see that the function, f, is:
f(x) = 3x
This works for all values. f(3) = 3*3 or 9
The range of the function when x = 3 is f ( 3 ) = 9
What are domain and range?The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.
The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.
Given data ,
Let the input values of the function be x
where x = { -3 , -2 , -1 , 0 , 1 , 2 , 3 }
Let the output values of the function be y
where y = { -9 , -6 , -3 , 0 , 3 , 6 , 9 }
So , the range of the function when x = 3 is
f ( 3 ) = 9
Hence , the function is solved
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The diameter of the sun is about is about 1 390 000 km;
use scientific
notation to represent this diameter.
Answer:
1.39×10^6
Step-by-step explanation:
Hide 1 then count how many numbers are after it(6 numbers), that will be the power/exponent you will use
A lady is 5 years younger to her husband and he is 5 times as old as his daughter. If the daughter was 5 years old 3 years back, what is the present age of the lady? 25
45
35
30
Answer:
35
Step-by-step explanation:
5x (5+3)=40-5=35
Which is 5log x - 6log (x - 8) written as a single logarithm?
Answer:
log[x⁵/(x-8)⁶]
Step-by-step explanation:
5log(x) - 6log(x-8)
log(x⁵) - log((x-8)⁶)
log[x⁵/(x-8)⁶]
I need help please and ty 2 questions in math for a lot of points
Answer: ok we will help
Step-by-step explanation:
he need our help
If x > 0 and y > 0, where is the
point (x, y) located?
Hope you could get an idea from here.
Doubt clarification - use comment section
Which expression is equivalent to -9x^-1y^-9/-15x3y-3? Assume x & y ≠ 0
Step-by-step explanation:
when we have multiplications of fractions, we can simply "break" the multiplications apart, simplify every fraction, and then combine the results again.
-9/-15 = 3/5
x^-1/x⁵ = 1/x¹x⁵ = 1/x⁶
y^-9/y^-3 = y³/y⁹ = 1/y⁶
so, when we multiply the 3 fractions again, we get
3/(5x⁶y⁶)
which is the second answer option.
Emily drove to the ferry office and back. The trip there took four hours and the trip back took six hours. She averaged 20 km/h on the return trip. Find the average speed of the trip there.
Answer:
on the way there she was going at 25 km/hr
Step-by-step explanation:
A hot air balloon went from an elevation of 4,060 feet to an elevation of 3,120 feet in 40 minutes. What was its rate of descent?
Answer:
23.5 feet per minute is the rate
