please mark this answer as brainlist
Kelly bought a cup of coffee and drank 58 of it.
Write an addition equation to represent how much coffee is remaining.
Enter your answer as an addition equation, formatted like this: 42+(-53)=-11
Answer:
r+58=c
(r= remaining, c= total coffee)
Step-by-step explanation:
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
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]
There are five boys and five girls in a class. The teacher randomly selects three different students to answer questions. The first student is a girl, the second student is a boy, and the third student is a girl. Find the probability of this occuring.
Answer:
5/10
Step-by-step explanation:
for every girl picked a boy is also picked. There are 10 kids so it's a 50% chance it happens
Answer:
50%
Step-by-step explanation:
5/10
*simplify*
1/2
*divide 1 by 2*
0.5
*multiply by 100, or move the decimal twice*
0.5 ---> 5. ---> 50.
50. = 50
so your answer is 50%.
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
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 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]
1,772,198 rounded to the nearest ten thousand is ?
1,772,198 rounded to the nearest hundred thousand is ?
Answer:
malai thaxaina
Find the area of the semicircle.
Hi! I'm happy to help!
To solve for the area of a semi-circle, we just need to find the area of a circle, and divide it by 2.
The equation for area of a circle is A=[tex]\pi[/tex]r²
It says we can use 3.14 for pi, so we can write our equation like this:
A=3.14(r²)
Since we are dealing with half of a circle, we can write this as:
A=[tex]\frac{1}{2}[/tex](3.14(r²))
Our radius is a straight line going from the edge of the circle to the center. We have the diameter, which is just the radius doubled (because it goes from the edge to the center point then back to the edge). So, we divide our diameter by 2 to get our radius.
14÷2=7
Our radius is 7, so we can plug that into our equation:
A=[tex]\frac{1}{2}[/tex](3.14(7²))
Now all we have to do, is solve:
A=[tex]\frac{1}{2}[/tex](3.14(49))
A=[tex]\frac{1}{2}[/tex](153.86)
A=76.93
So, our area is 76.93 units².
I hope this was helpful, keep learning! :D
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.
More about the linear system link is given below.
https://brainly.com/question/20379472
From the set {2, 6, 42}, use substitution to determine which value of x makes the equation true.
6(x + 40) = 252
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]
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]
(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.
Learn more about the Mathematical expression visit:
https://brainly.com/question/1859113
#SPJ2
(4,2),(-6-6) what’s the answer
Answer:
what are we finding
Are we to derive an equation of a straight line
how much is 72 kilograms in pounds
Answer:
158.733 that's the answer
9514 1404 393
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.
Which set of ordered pairs does not represent a function?
{(7, -5), (-5, -2), (8, –9), (-9,0)}
{(-3,0), (0, -5), (6,-2), (1, -2)}
{(6, -6), (-9,2), (6, -1), (-8, -9)}
{(7,3), (2, –6), (5, –7), (0, – 7)}
Answer:
{(6, -6), (-9,2), (6, -1), (-8, -9)}
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.
More about the perimeter of the rectangle link is given below.
https://brainly.com/question/15287805
#SPJ6
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:
!!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
9514 1404 393
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
Someone
pls help will mark brainliest!!!
Answer:
f(t)=-16t^2+8t+2
Step-by-step explanation:
You take f(t)=-16t^2, and for vt look at the initial velocity which was 8 and for s look at the height which was 2
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.
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.
(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]
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]
plz help me do this thanks
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.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
What are the opposite rays
Answer:
ab and ed are opposite rays
Step-by-step explanation:
PLEASE MARK AS BRAINLIRST
Answer:
A pair of opposite rays are two rays that have the 'same endpoint and extend in opposite directions. So, together a pair of opposite rays always forms a straight line