Answer: 24/25
The answer to the question is 0.96, 0.96 in simplest form is 24/25
Multiply.
4.62 x 10^6=???
Answer:
[tex]=4620000x[/tex]
Step-by-step explanation:
[tex]=1000000\cdot \:4.62x[/tex]
[tex]=4620000x[/tex]
Answer:
4620000
Step-by-step explanation:
4.62x10^6
1000000x4.62
What is the area, in square feet, of a rectangle whose width is 6 feet and whose length is 2 feet more
than three times its width?
Answer:
120
Step-by-step explanation:
l = (w*3)+2
w = 6
area = ((6*3)+2) * 6
((18) + 2) * 6
20 * 6
120
A bakery is making whole-wheat bread and apple bran muffins. For each batch of break they make $35 profit. For each batch of muffins, they make $10 profit. The break takes 4 hours to prepare and 1 hour to back. The muffins take 0.5 hours to prepare and 0.5 hours to bake. The maximum preparation time available is 16 hours. The maximum bake time available is 10 hours. Let x = # of the batches of bread and y = # of batches of muffins. Outline the feasible region that can be used to find the number of batches of bread and muffins that should be made to maximize profits? Use the color RED to indicate the feasible region!
Step-by-step explanation:
let the number of wholewheat bread batches be x
let the number of muffin batches be y
prep condition: 4x + (1/2)y ≤ 16 or 8x + y ≤ 32
baking condition : 1x + (1/2)y ≤ 10 or 2x + y ≤ 20
graph each of those in the first quadrant shading in the region below each one.
Final shading is the region satisfying both conditions.
profit = 35x + 10y
allow this line to "slide" away from the origin as far as you can.
It should be clear that the farthest we can go is the intersection of
8x+y = 32 and
2x + y = 20 or the x and y intercepts of our two boundary lines.
subtract them as they are:
6x = 12
x = 2
then in our head , y = 16
max profit = 2(35) + 10(16) = 230
Just to make sure, I will test the intercepts of our intersecting region, namely (4,0) and (0,20)
for (4,0) profit = 4(35)+1 = 140
for (0,32) profit = 0 + 10(20) = 200
so max profit is 230 when x=2 and y=16
(notice all the prep time and baking time is utelized)
Write the mixed number 9 3/5 as an improper fraction
===========================================
Explanation:
Use the formula
a & b/c = (a*c + b)/c
So,
9 & 3/5 = (9*5+3)/5 = (45+3)/5 = 48/5
Video on Converting from different bases to base 10 [+]
Convert the following base 2 numeral to a base 10 numeral and enter your answer in the box.
101011
(Remember, the above number is in Base 2!)
Base 10 numeral:
Note: Only enter your final result.
Question Help: Video Message instructor
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101011 in base 2 is equal to 43 in base 10
please help
maths geometry
Step-by-step explanation:
(1)
FP = FN
makes the triangle FNP an isoceles triangle (both legs have the same length). and that means both angles of these equal legs with the third side (PN) must be equal.
therefore, the angle N = P2 = 56°.
and we know that the angle P = P1 + P2 = 68 + 56 = 124°.
LE = LM
makes the triangle ELM an isoceles triangle. because of that, both angles of these 2 legs with the third side (ME) are equal.
therefore, M1 = E1 = 62°.
the fact that the sum of all angles in a triangle is always 180° gives us the angle L
180 = 62 + 62 + angle L = 124 + angle L
56° = angle L
because angles L and P are supplementary (that means together they have 180°, which is true as 124 + 56 = 180), it means that LM || PN. as this pair of supplementary angles means that their connecting line LP is intersecting the lines LM and PN at the same angles, which makes LM parallel to PN.
and as angle N = angle L (56°), this also proves that MN is parallel to LP (as now the line PN intersects LP and MN at the same angles and N and P are supplementary angles).
(2)
with the proof in (1) that we have 2 sets of parallel sidelines (LP || MN, LM || PN), this makes LMNP per basic definition a parallelogram.
Whats 1,250 - 250 x 2?
Answer:750
Step-by-step explanation:
multiply the numbers
1250-250x2
1250-500
subract the two numbers and you will get
750
For positive integer n, defined
[tex] \rm f(n) = n + \frac{16 + 5n - 3 {n}^{2} }{4n + 3 {n}^{2} } + \frac{32 + n - 3 {n}^{2} }{8n + {3n}^{2} } + \frac{48 - 3n - 3 {n}^{2} }{1 2n+3 {n}^{2} } + \cdots + \frac{25 {n} - 7n^{2} }{7 {n}^{2} } [/tex]
Then, the value of [tex] \displaystyle\rm\lim_{n \to \infty } [/tex] is equal to
Following the first term [tex]n[/tex], the [tex]k[/tex]-th term [tex]\left(k\in\{1,2,3,\ldots,n\}\right)[/tex] in [tex]f(n)[/tex] is given by
[tex]\dfrac{16k + (9-4k)n - 3n^2}{4kn + 3n^2}[/tex]
That is,
[tex]k=1 \implies \dfrac{16 + (9-4)n - 3n^2}{4n + 3n^2} = \dfrac{16 + 5n - 3n^2}{4n + 3n^2}[/tex]
[tex]k=2 \implies \dfrac{16\cdot2 + (9-8)n - 3n^2}{4\cdot2n + 3n^2} = \dfrac{32 + n - 3n^2}{8n + 3n^2}[/tex]
and so on, up to
[tex]k=n \implies \dfrac{16n + (9-4n)n - 3n^2}{4n^2 + 3n^2} = \dfrac{25n - 7n^2}{7n^2}[/tex]
We then have
[tex]\displaystyle f(n) = n + \sum_{k=1}^n \frac{16k + (9-4k)n - 3n^2}{4kn + 3n^2} \\\\ ~~~~~~~ = n + \frac1n \sum_{k=1}^n \frac{16\frac kn + 9}{4\frac kn + 3} - \frac1n \sum_{k=1}^n \frac{4kn + 3n^2}{4k + 3n} \\\\ ~~~~~~~ = n + \frac1n \sum_{k=1}^n \frac{16\frac kn + 9}{4\frac kn + 3}- \frac1n \sum_{k=1}^n n \\\\ ~~~~~~~ = \frac1n \sum_{k=1}^n \frac{16\frac kn + 9}{4\frac kn + 3}[/tex]
Now as [tex]n\to\infty[/tex], the right side converges to a definite integral.
[tex]\displaystyle \lim_{n\to\infty} f(n) = \lim_{n\to\infty} \frac1n \sum_{k=1}^n \frac{16\frac kn + 9}{4\frac kn + 3} \\\\ ~~~~~~~~~~~~~ \,= \int_0^1 \frac{16x + 9}{4x + 3} \, dx[/tex]
Wrap up by substituting [tex]x\mapsto\frac{x-3}4[/tex].
[tex]\displaystyle \lim_{n\to\infty} f(n) = \frac14 \int_0^1 \frac{16x + 9}{4x + 3} \, dx \\\\ ~~~~~~~~~~~~~\, = \frac14 \int_3^7 \frac{4x - 3}x \, dx \\\\ ~~~~~~~~~~~~~\, = \frac14 \int_3^7 \left(4 - \frac3x\right) \, dx \\\\ ~~~~~~~~~~~~~\, = \left. \frac14 (4x - 3\ln|x|) \right\vert_3^7\\\\ ~~~~~~~~~~~~~\, = \boxed{4 + \frac34 \ln\left(\frac37\right)}[/tex]
Compare 71.815 and 701.815
Answer:
71.815<701.815
Step-by-step explanation:
1 fluid oz = ______
please answer asap
8. A fever is generally considered to be a body temperature greater than
100°F. Your friend has a temperature of 37°C. Does your friend have a
fever when the temperature increases by 1°F? 1°C?
The friend doesn't have a fever when the temperature increases by 1°C.
How to convert the temperature?To convert Celcius to Fahrenheit,we have to multiply by 1.8 and add 32°.
This will be:
37°C = (37 × 1.8) + 32
= 98.6
When we add 1°, we will get 99.6.
Therefore, the friend doesn't have a fever when the temperature increases by 1°C.
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Martha has 9 feet of red ribbon and 6 feet of green ribbon. How many yards of
ribbon does she have altogether?
Answer:5
Step-by-step explanation:9 ft of red ribbon plus the 6 ft of green ribbon would make 15 feet of ribbon
1ft=3yds
Which mean you would have 5 yards of ribbon.(15 divided by 3=5)
Simplifiy the expression 1/2 cubed - 6 divide √64
Answer:-0.625
Step-by-step explanation:
The table lists how poverty level income
cutoffs (in dollars) for a family of four have
changed over time. Use the midpoint
formula to approximate the poverty level
cutoff in 1987 to the nearest dollar.
The poverty level cutoff in 1987 was dollars.
(Round to the nearest dollar as needed.)
Year
1970
1980
1990
2000
Points: 0 of 1
Income (in dollars)
3703
8234
13575
17371
Midpoint formula : -
Midpoint calculation
The midpoint formula is a method used to locate the midway point between two coordinates on a graph. The midpoint of a line segment with endpoints A and B is the point that is precisely between A and B, that is, it is placed at the same distance from A and B, as shown in the illustration below.
The midpoint formula can be utilized when two points on a graph in the coordinate plane are known. The midpoint M of two points (x1, y1) and (x2, y2) is:
Notice that the midpoint formula includes calculating an average of the x- and y-values of two coordinates. The midway formula may be simpler to recall as a result. The sum of two number is equal to multiplying a number by 2. In a coordinate system, a line segment's midpoint is defined as the point midway between two points in the vertical and horizontal directions. This value is equivalent to the line segment's average x- and y-coordinates. It should be rather simple to recall the midway formula if you keep this in mind.
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Rewrite the expression [tex]\sqrt (4x)}[/tex] using rational exponents
The expression √4x using rational exponents ( 4x )^{\frac{1}{2} } .
What is rational exponents?
Expressions having exponents that are rational values are known as rational exponents (also known as fractional exponents) (as opposed to integers ). It is beneficial to give rational exponents serious consideration even though all the standard exponent criteria still apply.What is Integer Exponents?
In mathematics, exponents that should be integers are known as integer exponents. It may be an integer that is either positive or negative. It specifies how many times the base number should be multiplied by itself using positive integer exponents.√4x
use [tex]\sqrt[n]{a^{x} } = a^{x/n}[/tex]
to rewrite
√4x = [tex]( 4x )^{\frac{1}{2} }[/tex]
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michael read 135 pages in 90 minutes. select all of the rates that have the same constant rate of change as michael's rate.
#1) 180 pages in 2 hours?
#2) 60 pages in 30 minutes?
#3) 108 pages in 2 1/2 hours?
#4) 150 pages in 1 hour?
#5) 225 pages in 150 minutes?
#6) 210 pages in 2 hour 2 minutes?
Answer:
#1) & #5) are the rates that have the same constant rate of change as Micheal's rate.
differentiate xlnx from first principles
Answer:
formula for the derivative of x*lnx is equal to 1 + lnx.
Step-by-step explanation:
we need to find derivative of f(x) = x*lnx,
so we take the limiting value as x approaches x + h.
To simplify this, we set x = x + h,
and we want to take the limiting value as h approaches 0.
Now according to first derivative formula we have;
f'(x) = [tex]\lim_{h \to \zer0}[/tex]f(x+h) - f(x)]/[(x+h) - x]
[tex]\lim_{h \to \zer0}[/tex][ ln (1 + x) ] / x = 1
ln a - ln b = ln(a/b)
Using the above formulas, we have
d(xlnx)/dx = [tex]\lim_{h \to \zer0}[/tex][(x+h) ln(x+h) - xlnx]/[(x+h) - x]
= [tex]\lim_{h \to \zer0}[/tex][x ln(x+h) + h ln(x+h) - xlnx]/h
= [tex]\lim_{h \to \zer0}[/tex][x ln(x+h) - x lnx + h ln(x+h)]/h
= [tex]\lim_{h \to \zer0}\\[/tex][x(ln(x+h) - lnx) + h ln(x+h)]/h
=[tex]\lim_{h \to \zer0}[/tex][x ln [(x+h)/x] + h ln(x+h)]/h
=[tex]\lim_{h \to \zer0}[/tex][x ln (1+h/x) + h ln(x+h)]/h
=[tex]\lim_{h \to \zer0}[/tex] [x ln (1+h/x)]/h + limh→0 ln(x+h)
= [tex]\lim_{h \to \zer0}[/tex][ ln (1 + h/x) ] / (h/x) + limh→0 ln(x+h)
= 1 + lnx --- [Using limit formula [tex]\lim_{h \to \zer0}[/tex] [ ln (1 + x) ] / x = 1]
Hence, we have proved that the formula for the derivative of x*lnx is equal to 1 + lnx.
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Answer:
Step-by-step explanation:
In this section, we will determine the differentiate of xlnx using the first principle of derivatives, that is, the definition of limits. To derive the derivative of f(x) = xlnx, we take the limiting value as x approaches x + h. To simplify this, we set x = x + h, and we want to take the limiting value as h approaches 0. We will use the following formulas to prove the result:
f'(x) = limh→0[f(x+h) - f(x)]/[(x+h) - x]
limx→0 [ ln (1 + x) ] / x = 1
ln a - ln b = ln(a/b)
Using the above formulas, we have
d(xlnx)/dx = limh→0[(x+h) ln(x+h) - xlnx]/[(x+h) - x]
= limh→0[x ln(x+h) + h ln(x+h) - xlnx]/h
= limh→0[x ln(x+h) - x lnx + h ln(x+h)]/h
= limh→0[x(ln(x+h) - lnx) + h ln(x+h)]/h
= limh→0[x ln [(x+h)/x] + h ln(x+h)]/h
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State the cardinality of the set.
The set of subsets of {2, 3, 5, 9, 11}
c
ℵ0
32
25
none of these
Answer:
32
Step-by-step explanation:
The given set has 5 elements, meaning it has 2⁵ = 32 subsets.
This means the cardinality of the desired set is 32.
Translate the sentence into an equation.
The sum of 8 times a number and 9 is 7.
Use the variable b for the unknown number.
Answer:
8b + 9 = 7
Step-by-step explanation:
If the big, green rectangle represents 1 whole, then what part of the whole is the shaded, gold
rectangle?
14
2 3
4
5
State your answer as a fraction.
6
The fraction that represents the part of a whole, which is shaded gold is 3/7.
What is fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole.
Given is a big green rectangle divided into seven equal segments. From the image, it can be seen that 3 segments out of the seven are colored with gold. Therefore, we can write that -
Number of segments colored = n[c] = 3
Total segments = n[T] = 7
We know that a fraction defines a part of a whole. The green Rectangle is one whole, therefore it can be concluded that -
1 whole = 7 segments = n[T].
Number of segments colored = n[c] = 3.
Therefore, we can say that the fraction that represents the part of a whole, which is shaded gold is given by -
n[c] / n[T] = 3 / 7
Therefore, the fraction that represents the part of a whole, which is shaded gold is 3/7.
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[The given question is not complete. Please refer to the image attached for complete question]
Toby needs to save a minimum of $250. If Toby can save $57 a month, how many months will it take for him to save enough? Select the inequality that represents this situation
Answer:
[tex]250 \leqslant 57m[/tex]
[tex]57m \: \geqslant 250[/tex]
Step-by-step explanation:
Minimum is a word meaning greater than or equal to.
Hope this helps!
If you have anyother question feel free to ask!
If m∠NOL=54° then m∠FOG=__
The product of a number x and 0.28 is 13.44 which equation matches this statement
Answer:
x · 0.28 = 13.44
Equation: X multiplied by 0.28 = 13.44.
How to solve: Divide 13.44 ÷ 0.28 = 48.
Multiply to check. 48 x 0.28 = 13.44.
Give me a crown.
The highest point in a country has an elevation of 14,291 feet. The lowest point in a country is at 508 fest below sea level. How much higher is the highest point then the lowest point?
The highest point is ____ ft. higher than the lowest point
( the answer is not 13,783 )
The highest point is 14799 ft. higher than the lowest point.
How to calculate the value?From the information, the highest point in a country has an elevation of 14,291 feet. The lowest point in a country is at 508 fest below sea level.
The difference between the points will be:
= 14291 - (-508)
= 14291 + 508
= 14799 feet
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Liam bought pizza and wings for $17.58. How much change should Liam receive if he gave the clerk three $10 bills
Answer:
$12.42
Step-by-step explanation:
$10 x 3 = $30.00
$30.00 - 17.58 = $12.42
Find n(S ∩ T) given that n(S)=6, n(T)=9 and n(S ∪ T)=15.
Answer:
0
Step-by-step explanation:
[tex]n(S \cup T)=n(S)+n(T)-n(S \cap T) \\ \\ 15=15-n(S \cap T) \\ \\ n(S \cap T)=0[/tex]
Find the least common denominator (LCD) of 1/2 and 11/12
Answer:
LCD = 12
Step-by-step explanation:
A picture frame is 20 cm long and 30 cm wide. This includes a pink border that is 5
cm wide surrounding the picture itself, as shown below. What is the area of this pink
border in square centimeters?
20 cm
30 cm
The area of the rectangular pink border is of 400 cm².
What is the area of a rectangle?The area of a rectangle of dimensions l and w is given by the multiplication of the dimensions, as follows:
A = lw.
Hence, the total area is given by:
A = 30 x 20 = 600 cm².
The area of the white region is given by:
A = (30 - 2 x 5) x (20 - 2 x 5) = 20 x 100 = 200 cm².
Hence the area of the pink border is:
600 cm² - 200 cm² = 400 cm².
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2) Which of the following is the correct factorization of 7x² - 36x +5?.
a. (7x + 1)(x - 5)
b. (7x-1)(x + 5)
c. (7x - 1)(x - 5)
d. (7x +1)(x + 5)
Ca
C
E
D
2 509
Answer:
c
Step-by-step explanation:
7x²-36x+5= 7x²-x-35x+5
=x(7x-1)-5(7x-1)
=(7x-1)(x-5)
please help me I have mistake
Answer:
See below
Step-by-step explanation:
Here is one possible mistake:
Let y= u = ( 2ax^2 +c)^2 expand
4 a^2 x^4 + 4 a x^2 c + c^2
dy/ dx then becomes
16 a^2 x^3 + 8 a x c <====== you have 8 a^2x^3 + 8axc
MAYBE ??
[tex]y = (2ax^2 + c)^2 (bx^2 - cx)^{-1}[/tex]
By the product rule,
[tex]\dfrac{dy}{dx} = \dfrac{d(2ax^2+c)^2}{dx} (bx^2-cx)^{-1} + (2ax^2+c)^2 \dfrac{d(bx^2-cx)^{-1}}{dx}[/tex]
For the first derivative on the right side, let [tex]u=2ax^2+c[/tex]. Then by the chain rule,
[tex]\dfrac{d(2ax^2+c)^2}{dx} = \dfrac{du^2}{dx} \\\\ ~~~~~~~~~~~~~~~~~~ = \dfrac{du^2}{du}\dfrac{du}{dx} \\\\ ~~~~~~~~~~~~~~~~~~ = 2u \dfrac{du}{dx} \\\\ ~~~~~~~~~~~~~~~~~~ = 2(2ax^2+c) \dfrac{d(2ax^2+c)}{dx}[/tex]
and by the power rule, this reduces to
[tex]\dfrac{d(2ax^2+c)^2}{dx} = 2 (2ax^2+c) (4ax) \\\\ ~~~~~~~~~~~~~~~~~~ = 8ax (2ax^2 + c)[/tex]
For the other derivative, let [tex]v = bx^2-cx[/tex]. Then
[tex]\dfrac{d(bx^2-cx)^{-1}}{dx} = \dfrac{dv^{-1}}{dx} \\\\ ~~~~~~~~~~~~~~~~~~~~ = \dfrac{dv^{-1}}{dv}\dfrac{dv}{dx} \\\\ ~~~~~~~~~~~~~~~~~~~~ = -v^{-2} \dfrac{dv}{dx} \\\\ ~~~~~~~~~~~~~~~~~~~~ = -(bx^2-cx)^{-2}\dfrac{d(bx^2-cx)}{dx}[/tex]
which reduces to
[tex]\dfrac{d(bx^2-cx)^{-1}}{dx} = -(bx^2 - cx)^{-2} (2bx - c)[/tex]
So one expression for the derivative we want is
[tex]\dfrac{dy}{dx} = 8ax (2ax^2 + c) (bx^2-cx)^{-1} - (2ax^2+c)^2 (bx^2 - cx)^{-2} (2bx - c)[/tex]
