Answer:
it is rational
Step-by-step explanation:
Answer:
it's rational number
I hope it's helps you
1/3 of the pencils in a jar are red and the remaining 10 are green. How many are red.
Answer:
There are 5 red ✎ pencils
Step-by-step explanation:
fraction of green pencils:
[tex] = 1 - \frac{1}{3} \\ \\ = \frac{2}{3} [/tex]
let total pencils be x :
[tex] \frac{2}{3} \: of \: x = 10 \: green \: pencils \\ \\ \frac{2}{3} \times x = 10 \\ \\ 2x = 3 \times 10 \\ x = \frac{3 \times 10}{2} \\ \\ x = 15 \: pencils[/tex]
Total pencils = 15
Red pencils:
[tex] = 15 - 10 \\ = 5 \: pencils[/tex]
what are the ways to name the plane Q?
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Answer:
(f) Plane CEA or Plane CAD
Step-by-step explanation:
The name must include three points that are in the plane and not all on the same line. That is, the name will not include either of points B or F, and must include point C. The only names listed that are appropriate are ...
Plane CEA or Plane CAD
Simplify -4+8-2 and 8-(-3)-5
Answer:
-2 and 6
Step-by-step explanation:
[tex] - 4 + 8 - 2[/tex]
[tex] - 6 + 8[/tex]
[tex] = - 2[/tex]
○●○●○●○●○●○●○●○●○●○●○●○●○●○
[tex]8 - ( - 3) - 5[/tex]
[tex]8 + 3 - 5[/tex]
[tex] = 6[/tex]
Find the perimeter and area of the figure below
Please i need your help to solve this question. I will give the brainliest.
Step-by-step explanation:
The angle between vectors is given by
[tex]\cos{\theta} = \dfrac{\vec{\textbf{a}}\cdot \vec{\textbf{b}}}{|\vec{\textbf{a}}||\vec{\textbf{b}}|}[/tex]
The magnitudes for the vectors are as follows:
[tex]|\vec{\textbf{a}}| = \sqrt{a_x^2 + a_y^2 + a_z^2}[/tex]
[tex]\:\:\:\:\:\:\:=\sqrt{(2)^2 +(-5)^2 + (3)^2} = 6.16[/tex]
[tex]|\vec{\textbf{b}}| = \sqrt{b_x^2 + b_y^2 + b_z^2}[/tex]
[tex]\:\:\:\:\:\:\:= \sqrt{(3)^2 + (1)^2 + (4)^2} = 5.10[/tex]
The dot product between the vectors is
[tex]\vec{\textbf{a}}\cdot \vec{\textbf{b}} = (2)(3) + (-5)(1) + (3)(4) = 13[/tex]
Therefore, the angle between the two vectors is
[tex]\cos{\theta} = \dfrac{\vec{\textbf{a}}\cdot \vec{\textbf{b}}}{|\vec{\textbf{a}}||\vec{\textbf{b}}|} = \dfrac{13}{(6.16)(5.10)}[/tex]
or
[tex]\theta = 65.56°[/tex]
Find the value of x.
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Answer:
x = 50°
Step-by-step explanation:
The angle marked 73° is the average of the arcs marked 96° and x.
(x +96°)/2 = 73°
x = 2(73°) -96° . . . . solve for x
x = 50°
__
Additional comment
Then z = 360° -50° -114° -96° = 100°.
!!PLEASE HELP!!! FOR 30 POINTS
According to the graph of the rational function
y= 4/x^2-4
which of the following statements is/are true?
I. The function is even
II. The function is increasing for all values in the domain
III. There is a horizontal asymptote along the x-axis,
I only
I and II only
I and Ill only
I, II and III
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Answer:
I and III only
Step-by-step explanation:
The graph is symmetrical about the y-axis, so is an even function.
The function is decreasing in the 1st quadrant, so is not increasing everywhere.
The values of the function approach y=0 for extreme values of x, so the graph shows that as a horizontal asymptote.
I and III only
From the set {2, 6, 42}, use substitution to determine which value of x makes the equation true.
6(x + 40) = 252
A game involves a spinner that is evenly separated into four sections. To play the game, a player spins the spinner three times. What is the number of individual outcomes when spinning the wheel three times
Answer:
Step-by-step explanation:
4 Section on the spinner and three spins:
4^3=64
The number of individual outcomes when spinning the wheel three times is 64 times
What is power in mathematics?In mathematics, a base number raised to an exponent is referred to as a power. The base number is the factor that is multiplied by itself, and the exponent indicates how many times the base number has been multiplied.
A power exists as the product of multiplying a number by itself. Usually, power is illustrated with a base number and an exponent. The base number tells what number exists being multiplied. The exponent, a small number written beyond and to the right of the base number, tells how many times the base number exists being multiplied.
Given
Sections = 4
no. of spinners per player = 3
no. of spinners per player per game = 4 ³ = 4 * 4 * 4 = 64
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write two ratios that are equivalent to 1:1
Answer:
2:2 3:3
Step-by-step explanation:
(4,2),(-6-6) what’s the answer
Answer:
what are we finding
Are we to derive an equation of a straight line
plz help me do this thanks
how much is 72 kilograms in pounds
Answer:
158.733 that's the answer
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Answer:
about 159 pounds
Step-by-step explanation:
The exact conversion factor from kilograms to pounds is ...
1 lb = 0.45359237 kg
So, to find the number of pounds, you multiply:
[tex]72\text{ kg}\times\dfrac{1\text{ lb}}{0.45359237\text{ kg}}\approx\boxed{158.7328\text{ lb}}[/tex]
The conversion is often approximated by 1 kg = 2.2 lb, which gives an answer that is about 0.21% low.
The perimeter of a playing field for a certain sport is 178 ft. The field is a rectangle, and the length is 43 ft longer than the width. Find the dimensions
The width of the playing field is
(Type an integer or a decimal.)
Answer:
23 and 66 are the dimensions
Step-by-step explanation:
178/2=89
89+43=132
178-132=46
132/2=66
46/2=23
(I think this is the answer I'm so sorry if I am wrong)
Find the formula for the nth term for the following sequence.
3, 9, 27, 81..
1. A(n) =3(3^n-1)
2. A(n) =3^n-1
3. A(n) =3(3^n)
Step-by-step explanation:
everything can be found in the picture
Answer:
It is 1. A(n) =3(3^n-1)
Step-by-step explanation:
It is a geometric progression
General recursive formular:
[tex]a_{n} = a( {r}^{n-1} )[/tex]
a » first term, a = 3
r » common difference, r = 9 ÷ 3 = 3
n » number of terms
[tex]A(n) = 3( {3}^{n-1} )[/tex]
______________end_____________________
further more:
[tex]A(n) = {3}^{(n)} [/tex]
A sofa is on sale for $442, which is 85% of the regular price.
[tex]\frac{442}{x} = \frac{85}{100} \\85x = 44200\\x = \frac{44200}{85} = 520[/tex]
Original price is 520
(7 ten thousand 5 hundreds) x 10
Answer:
The answer is 705,000
Step-by-step explanation:
pls mark brainlest
The value of (7 ten thousand 5 hundreds) x 10 is 705,000.
Here,
The written expression is,
(7 ten thousand 5 hundreds) x 10
We have to find the value of given written expression.
What is Mathematical expression?
Mathematical expression is a finite combination of symbols that is well-formed according to the rules.
Now,
The written expression is,
⇒ (7 ten thousand 5 hundreds) x 10 = 70, 500 x 10 = 705,000
Hence,
The value of (7 ten thousand 5 hundreds) x 10 is 705,000.
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What is the parent function of the graph?
y = |x| + 4
y = |x|
y = |x| – 4
y = |x – 4|
Answer:
y = |x| – 4
Step-by-step explanation:
If we substitute x as 0, we get -4 therefore this is the answer.
Which expression has the same value as 97.6 – (-77.8)?
77.8 + (-97.6)
97.6 – 77.8
Submit Answer
0–77.8 – 97.6
97.6 + 77.8
Answer:
97.6 + 77.8
Step-by-step explanation:
97.6-(-77.8)
= 97.6+77.8
97.6+77.8= 175.4
97.6-(-77.8) = 175.4
What is the slope of the line?
Answer:
-5/9
Step-by-step explanation:
The exact point at which the lines cuts the axis are unclear so I used the closest round number to substitute into the gradient formula. From the answer I noticed two things
Firstly it was a negative gradient...therefore the second and the fourth option wouldn't work
Secondly (if I were to ignore the operation) the number is less than 1 which would mean that it couldnt be an improper fraction where the numerator is greater than the denominator.
If you take what you notice about both the operation and the size of the number you would find that -5/9 fits the criteria the best and is therefore the answer to your question.
[tex] \frac{y2 - y1}{x2 - x1} \\ = \frac{0 - ( - 1)}{ - 2 - 0} \\ = - \frac{1}{2} [/tex]
(x^2y+e^x)dx-x^2dy=0
It looks like the differential equation is
[tex] \left(x^2y + e^x\right) \,\mathrm dx - x^2\,\mathrm dy = 0[/tex]
Check for exactness:
[tex]\dfrac{\partial\left(x^2y+e^x\right)}{\partial y} = x^2 \\\\ \dfrac{\partial\left(-x^2\right)}{\partial x} = -2x[/tex]
As is, the DE is not exact, so let's try to find an integrating factor µ(x, y) such that
[tex] \mu\left(x^2y + e^x\right) \,\mathrm dx - \mu x^2\,\mathrm dy = 0[/tex]
*is* exact. If this modified DE is exact, then
[tex]\dfrac{\partial\left(\mu\left(x^2y+e^x\right)\right)}{\partial y} = \dfrac{\partial\left(-\mu x^2\right)}{\partial x}[/tex]
We have
[tex]\dfrac{\partial\left(\mu\left(x^2y+e^x\right)\right)}{\partial y} = \left(x^2y+e^x\right)\dfrac{\partial\mu}{\partial y} + x^2\mu \\\\ \dfrac{\partial\left(-\mu x^2\right)}{\partial x} = -x^2\dfrac{\partial\mu}{\partial x} - 2x\mu \\\\ \implies \left(x^2y+e^x\right)\dfrac{\partial\mu}{\partial y} + x^2\mu = -x^2\dfrac{\partial\mu}{\partial x} - 2x\mu[/tex]
Notice that if we let µ(x, y) = µ(x) be independent of y, then ∂µ/∂y = 0 and we can solve for µ :
[tex]x^2\mu = -x^2\dfrac{\mathrm d\mu}{\mathrm dx} - 2x\mu \\\\ (x^2+2x)\mu = -x^2\dfrac{\mathrm d\mu}{\mathrm dx} \\\\ \dfrac{\mathrm d\mu}{\mu} = -\dfrac{x^2+2x}{x^2}\,\mathrm dx \\\\ \dfrac{\mathrm d\mu}{\mu} = \left(-1-\dfrac2x\right)\,\mathrm dx \\\\ \implies \ln|\mu| = -x - 2\ln|x| \\\\ \implies \mu = e^{-x-2\ln|x|} = \dfrac{e^{-x}}{x^2}[/tex]
The modified DE,
[tex]\left(e^{-x}y + \dfrac1{x^2}\right) \,\mathrm dx - e^{-x}\,\mathrm dy = 0[/tex]
is now exact:
[tex]\dfrac{\partial\left(e^{-x}y+\frac1{x^2}\right)}{\partial y} = e^{-x} \\\\ \dfrac{\partial\left(-e^{-x}\right)}{\partial x} = e^{-x}[/tex]
So we look for a solution of the form F(x, y) = C. This solution is such that
[tex]\dfrac{\partial F}{\partial x} = e^{-x}y + \dfrac1{x^2} \\\\ \dfrac{\partial F}{\partial y} = e^{-x}[/tex]
Integrate both sides of the first condition with respect to x :
[tex]F(x,y) = -e^{-x}y - \dfrac1x + g(y)[/tex]
Differentiate both sides of this with respect to y :
[tex]\dfrac{\partial F}{\partial y} = -e^{-x}+\dfrac{\mathrm dg}{\mathrm dy} = e^{-x} \\\\ \implies \dfrac{\mathrm dg}{\mathrm dy} = 0 \implies g(y) = C[/tex]
Then the general solution to the DE is
[tex]F(x,y) = \boxed{-e^{-x}y-\dfrac1x = C}[/tex]
CAN U PLEAS HELP ME SIMPLIFY THIS AND PLEASE EXPLAIN YOUR REASONING THOROUGHLY BEHIND THIS
[tex]\sqrt{8}+\sqrt{50}[/tex]
Answer:
7√2Step-by-step explanation:
Given:
√8 + √50We can see that:
8 = 4*2 = 2²*2 and50 = 25*2 = 5²*2Since 2² and 5² are perfect squares we get:
√8 + √50 = 2√2 + 5√2 =(2 + 5)√2 = 7√2[tex]\\ \sf\longmapsto \sqrt{8}+\sqrt{50}[/tex]
[tex]\\ \sf\longmapsto \sqrt{2(2)(2)}+\sqrt{2(5)(5)}[/tex]
[tex]\\ \sf\longmapsto 2\sqrt{2}+5\sqrt{2}[/tex]
[tex]\\ \sf\longmapsto (2+5)\sqrt{2}[/tex]
[tex]\\ \sf\longmapsto 7\sqrt{2}[/tex]
what is the greatest common factor of 97 and 24?
Answer:
1
Step-by-step explanation:
The GCF of 24 and 97 can be obtained like this:
The factors of 24 are 24, 12, 8, 6, 4, 3, 2, 1. The factors of 97 are 97, 1. The common factors of 24 and 97 are 1, intersecting the two sets above. In the intersection factors of 24 factors of 97, the greatest element is 1. Therefore, the greatest common factor of 24 and 97 is 1.Tickets to the county fair cost $12 for each adult and$7 for each child write and evaluate an expression to find the cost for 3 adults and 6 children
If 4(x-3)=16, what does 8x equal
Answer:
Step-by-step explanation:
4(x-3) =16
4x- 12=16
4x=28
8x=56
Answer:
8x = 56
Step-by-step explanation:
Solve for x by isolating it.
Divide both sides by 4
(x-3) = 4
Add 3 to both sides
x = 7
Now plug 7 in for x
8(7) = 56
Which of the
following numbers
falls between 8 and 9
on the number line
square root of 75 or square root of 100?
Answer: [tex]\sqrt{75}[/tex]
================================================
Explanation:
Square both 8 and 9 to get
8^2 = 8*8 = 649^2 = 9*9 = 81Since 75 is between 64 and 81, this means [tex]\sqrt{75}[/tex] is between 8 and 9
Put another way, we can say this:
[tex]64 < 75 < 81\\\\\sqrt{64} < \sqrt{75} < \sqrt{81}\\\\\sqrt{8^2} < \sqrt{75} < \sqrt{9^2}\\\\8 < \sqrt{75} < 9\\\\[/tex]
Or we could use a calculator to find that:
[tex]\sqrt{75} \approx 8.66[/tex] [tex]\sqrt{100} = 10[/tex]Which is another way to see why [tex]\sqrt{75}[/tex] is between 8 and 9.
pelase asnwer da question
Answer:
D
Step-by-step explanation:
I think its D because you multiple the number that is out of the the bracket with the numerators..
so its
a^4/b^12
Problem: A pyramid of logs has 2 logs in the top row, 4 logs in the second row from the top, 6 logs in the third row from the top, and so on, until there are 200 logs in the bottom row.
Answer:
100 rows
Step-by-step explanation:
A rectangle has a length of 2 6√
and width of 6√
. Find the perimeter of the rectangle.
[tex]\\ \rm\Rrightarrow Perimeter=2(L+B)[/tex]
[tex]\\ \rm\Rrightarrow Perimeter=2(2\sqrt{6}+\sqrt{6})[/tex]
[tex]\\ \rm\Rrightarrow Perimeter=2(3\sqrt{6})[/tex]
[tex]\\ \rm\Rrightarrow Perimeter=6\sqrt{6}[/tex]
The perimeter of the rectangle will be 6√6 units.
What is the perimeter of the rectangle?Let W be the rectangle's width and L its length. The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be given as,
Perimeter of the rectangle = 2(L + W) units
A rectangle has a length of 2√6 and a width of √6. Then the perimeter of the rectangle is given as,
P = 2 (2√6 + √6)
Simplify the equation, then we have
P = 2 (2√6 + √6)
P = 2 (3√6)
P = 6√6 units
The perimeter of the rectangle will be 6√6 units.
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Help!!!
In addition to fuel and maintenance, Rachel pays
$1,000 a year for insurance. The equation
C = (0.05 + 0.14) + 1,000 x shows the cost C, in
dollars, of owning and operating the car for a year as
a function of x, the number of miles driven in a year.
What does the slope of the graph of this function
represent?
Answer:
a function of x, the number of miles driven in a year.
Step-by-step explanation:
The slope of the line represents the cost of the maintenance and the cost of the fuel. Then the correct option is D.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
In addition to fuel and maintenance, Rachel pays $1,000 a year for insurance. The equation will be
C = (0.05 + 0.14)x + 1000
C = 0.19x + 1000
Then the slope of the line will be
Slope = 0.19
The slope of the line represents the cost of the maintenance and the cost of the fuel.
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