Answer:
$ 720
Step-by-step explanation:
Normal time $ 15
Overtime: 15 x 1/3 = $5 + $15 = $20
(40 x 15) + (6 x 20) = 600 + 120
Enter an equation in standard form to model the linear situation. A bathtub that holds 41 gallons of water contains 11 gallons of water. You begin filling it, and after 5 minutes, the tub is full.
Answer: In this equation, let "x" equal the rate at which the tub will be filled. The tub holds 32 gallons, which will be one-half of the equation. The tub already contains 12 gallons, so this will be half of the other side of the equation. The rate is "x" gallons per minute, and the time it required was 5 minutes, so this would be "5x". Placing all these parts together gives an equation of (32 = 5x + 12) gallons per minute dispensed.
Which graph shows a system with one solution?
Explanation:
A solution is where the lines intersect. Graph A shows exactly one solution, and it is at (-2,2)
Graph B doesn't have any solutions since the lines are parallel, and parallel lines never intersect. We consider this system to be inconsistent.
Graph C has infinitely many solutions. The two lines perfectly overlap, meaning there are infinitely many intersection points. All solutions here are of the form (x,y) = (x,2x-1)
Hiii, What is the volume of the figure?
List the number which round off to 300
A vector starts at point (-3, 4) and ends at point (6, -3). What is the magnitude of the vector? Answer to two decimal places.
Answer:
the magnitude of the vector is 11.40
Solve the problems.
A bird is flying at an elevation of 14 feet above the
surface of the water. A fish is swimming the same
distance below the surface of the water.
How can you
represent a location
below the surface of
the water?
a. What number represents the position of the fish
relative to the surface of the water?
b. How does the absolute value of the number
you wrote show that the distances are the
same? Explain.
Answer:
I believe a is -14
Step-by-step explanation:
its -14 because if it is in the exact same spot below water, think of the water as point 0. the bird is 14 and the fish is -14. Hope this helped
Question Find the slope of the line. (-1,3) (3,3)
Solve for y 2 y = A 2Y + B + A B
Call me when you want, call me when you need
Call me in the morning, I'll be on the way
Call me when you want, call me when you need
Call me out by your name, I'll be on the way like
Re-write the quadratic function below in Standard Form
y = -(x - 1)^2 + 4
Answer:
2 2 y = a x 2 + b x + c ; a ≠ 0 2
Step-by-step explanation:
Can someone please help me on this problem I’m struggling
Answer:
No pictures so can't help ya.
HELP ME SOLVE THIS PLSS
no solution,
48x+43=47x+43
-43 -43
48x=47x
if x= 1
48 is not equal to 1
B
Answer:
B
Step-by-step explanation:
It's impossible to let these 2 equation have same answer!
what is the LCD of 3/5, 1/10, 1/2
SHOW THE GRAPH AS WELL PLEASE
Plot the x- and y-intercepts to graph the equation. y=−12x−3
Answer:
(Hope this helps can I pls have brainlist (crown)☺️)
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x To find the y-intercept, substitute in 0 for x and solve for y .
x-intercept(s): ( − 6 , 0 )
y-intercept(s): ( 0 , − 3 )
Use the slope-intercept form y = m x + b to find the slope m .
Slope: [tex]m = -\frac{1}{2}[/tex]
Graph in pic
(Credits: Symbolab)
Answer:
pls help
Step-by-step explanation:
Can you help me on attached picture
Show that (1 + 2V3)2 = 13 +4V3
Answer:
(1+2V3)^2=13+4V3
<=> 1 +4V3 +12 = 13+4V3
<=> 1 +12 = 13
<=> 13=13
sorry if i wrong :(
HELPPPPPPPP!!!! In 1.6, we learned about rational exponents. In a rational exponent, the numerator is the power that the base of the exponent is being raised to and the denominator is the root that is being taken of that base. If the numerator is odd, why is there only one root?
E-
-
)
Simplify
-13-
.
o o
4
9514 1404 393
Answer:
(a) -4
Step-by-step explanation:
The picture is fuzzy, but perhaps you want to evaluate ...
[tex]-1\left|\dfrac{2}{3}-4\right|\div\dfrac{5}{6}=-1\left|-\dfrac{10}{3}\right|\div\dfrac{5}{6}\\\\=-\dfrac{10}{3}\div\dfrac{5}{6}=-\dfrac{20}{6}\div\dfrac{5}{6}=-\dfrac{20}{5}=\boxed{-4}[/tex]
Find the area of the surface.
The part of the sphere
x2 + y2 + z2 = 81
that lies above the plane
z = 4.
Parameterize this surface by
r (u, v) = 9 cos(u) sin(v) i + 9 sin(u) sin(v) j + 9 cos(v) k
with 0 ≤ u ≤ 2π and 0 ≤ v ≤ arccos(4/9)
See the attached sketch to see how we arrive at the upper limit for v.
Take the normal vector to the surface to be
n = ∂r/∂u × ∂r/∂v
n = -81 cos(u) sin²(v) i - 81 sin(u) sin²(v) j - 81 sin(v) cos(v) k
which has magnitude
||n|| = 81 sin(v)
Then the surface area is
[tex]\displaystyle \iint_S \|\mathbf n\| \,\mathrm du\,\mathrm dv = 81 \int_0^{2\pi} \int_0^{\arccos(4/9)} \sin(v)\,\mathrm dv\,\mathrm du \\\\ = 162\pi \int_0^{\arccos(4/9)} \sin(v)\,\mathrm dv \\\\ = -162\pi (\cos\left(\arccos\left(\frac49\right) - \cos(0)\right) \\\\ = 162\pi \left(1 - \dfrac49\right) \\\\ = \boxed{90\pi}[/tex]
If you're not familiar with surface integrals, you can instead use what's sometimes called the projection method. Let
z = f(x, y) = √(81 - x ² - y ²)
(where we take the positive square root because we're looking at a part of the top half of the sphere)
Projecting the surface down onto the (x, y)-plane, we see that it casts a "shadow" of a disk with radius √(9² - 4²) = √65. (Use the Pythagorean theorem to solve for the missing side of the triangle in the sketch.)
Then the surface S considered above is hovering over the set in the (x, y)-plane,
D = {(x, y) : x ² + y ² ≤ 65}
The area is then
[tex]\displaystyle \iint_D \sqrt{1 + \left(\dfrac{\partial f}{\partial x}\right)^2 + \left(\dfrac{\partial f}{\partial y}\right)^2} \,\mathrm dx\,\mathrm dy[/tex]
It's easier to compute this integral in polar coordinates, so we take
x = r cos(t )
y = r sin(t )
dx dy = r dr dt
and the region D is given by the set
{(r, t ) : 0 ≤ r ≤ √65 and 0 ≤ t ≤ 2π}
Then the integral would be
[tex]\displaystyle \iint_D \sqrt{1 + \left(\dfrac{\partial f}{\partial x}\right)^2 + \left(\dfrac{\partial f}{\partial y}\right)^2} \,\mathrm dx\,\mathrm dy = \iint_D \sqrt{1 + \frac{x^2+y^2}{81-x^2-y^2}}\,\mathrm dx\,\mathrm dy \\\\ = \iint_D \sqrt{\frac{81}{81-x^2-y^2}}\,\mathrm dx\,\mathrm dy \\\\ = \int_0^{2\pi} \int_0^{\sqrt{65}} r \sqrt{\frac{81}{81-r^2}}\,\mathrm dr\,\mathrm dt[/tex]
Substitute s = 81 - r ² and ds = -2r dr :
[tex]\displaystyle \int_0^{2\pi} \int_0^{\sqrt{65}} r \sqrt{\frac{81}{81-r^2}}\,\mathrm dr\,\mathrm dt = 2\pi \int_0^{\sqrt{65}} r \sqrt{\frac{81}{81-r^2}}\,\mathrm dr \\\\ = -9\pi \int_{81}^{16} \frac{\mathrm ds}{\sqrt s} \\\\ = 9\pi \int_{16}^{81} s^{-1/2}\,\mathrm ds \\\\ = 18\pi \left(\sqrt{81} - \sqrt{16}\right) \\\\ = \boxed{90\pi}[/tex]
3x−(2x+1) simplify the expression
[tex]3x - (2x + 1) \\ = 3x - 2x - 1 \\ = x - 1[/tex]
Answer:x - 1
Answer: x-1
Step-by-step explanation: in the picture
If F(x)=4x-1 and G(x)=2x-4 what is (FoG) (x)?
You are given the difference of the numbers of boys and girls in a class and the ratio of boys to girls. How many boys and how many girls are in the class?
3 more boys; 5 for every 4
9514 1404 393
Answer:
15 boys12 girlsStep-by-step explanation:
The difference in ratio units is 5 - 4 = 1. The difference in actual quantity is 3, so 1 ratio unit must represent 3 students.
There are 5×3 = 15 boys.
There are 4×3 = 12 girls.
What is the midpoint of the line segment from (5,-2) to (1,-5)?
Answer:
(3, -3.5)
Step-by-step explanation:
Using midpoint formula:
M = (x1 + x2/2 , y1 + y2/2)
By inserting the points you'll find the answer:
M = (5 + 1/2 , -2 + -5/2)
M = (6/2 , -7/2)
M = (3 , -3.5)
Answer fast please!!!!
Answer:
6z + 9
Step-by-step explanation:
distribute 3/4 by 8z to get 6z
distribute 3/4 by 12 to get 9
a.
Which of the following equations correctly describes how to calculate net income?
net income = (cost of goods sold) - (net sales) - (operating expenses)
b. net income = (operating expenses) - (cost of goods sold) - (net sales)
net income = (operating expenses) + (cost of goods sold) - (net sales)
d. net income = (net sales) - (cost of goods sold) - (operating expenses)
C.
Please select the best answer from the choices provided
Ο Α
B
OD
Answer:
net income = (cost of goods sold) - (net sales) - (operating expenses)
Step-by-step explanation:
because income is based on sales, thus the cost of how much you got minus all the expenses must be the net income.
The larger trapezoid is dilated form the
smaller trapezoid
Answer:
are there any equations for this possibly? and if not it is just a smaller scale version of the dilated trapezoid.
Serina and 2 friends go out for dinner. Their bill is $92.18. How much more would
they pay if they left a tip of 20% instead of a tip of 15%?
$9.22
$4.61
$6.91
$2.76
Answer:
$4.61
Step-by-step explanation:
To calculate a tip of 20%, you would perform the following:
$92.18 * 0.20 = $18.436
Similarly, for a tip of 15%:
$92.18 * 0.15 = $13.827
The difference would just be subtracting the two tip amounts from each other!
$18.436 - $13.827 = $4.609
Then you round to the nearest cent.
$4.609 ≈ $4.61
According to the new remuneration scheme, the starting pay of a lecturer a is RM3,087 per month and the annual increment is RM195. Ahmad, who is 25 years old, becomes a lecturer in a university. (a) What will his monthly salary be when he is 45 years old? (b) What will his age be when he gets a monthly payment of RM8,937?
Step-by-step explanation:
arithmetic sequence : every new item of the sequence is created by adding a constant term to the previous item - in this case 195.
a1 = 3087 (that's our starting value)
a2 = a1 + 195
a3 = a2 + 195 = a1 + 2×195
an = a1 + (n-1)×195
a)
when he is 45 years old, that is 20 years (and 20 annual increments) plus to our starting value.
so, n = 1+20 = 21
a21 = a1 + 20×195 = 3087 + 20×195 = 6987
so, when he is 45 years old, his monthly salary will be RM6,987
b)
how many years (= how big is n) until he gets 8937 ?
8937 = a1 + (n-1)×195 = 3087 + (n-1)×195 =
= 3087 + n×195 - 195 = 2892 + n×195
6045 = n×195
n = 6045/195 = 31
so, a31 = 8937
and that means, he has to work 30 additional years (31 minus the starting level 1) to earn monthly RM8,937.
that means he will be 25+30 = 55 years old.
18. Dylan's mother tells Dylan he must spend
less time playing electronic games. On
the weekends he spends 9 1/2 hours playing
electronic games. If he plays between 13 and
19 hours each week, how many hours does
he play games on weekdays?
Answer:
Dylan is playing anywhere from 3.5 hours to 9.5 hours of electronic games on week days.
Step-by-step explanation:
(least estimated amount of hours played each week) 13-9.5=3.5
(highest estimated amount of hours played each week)19-9.5=9.5
If I helped you please let me know with a thank you, rating or brainly
<3Miss Hawaii<3
I keep getting D wrong
Answer:
The amount is $18548.38 and the interest is $2548.38
Steps for solution:
First you want to use the formula A=P(1+[tex]\frac{r}{n}[/tex])^n*t. A= total amount, P= principle or amount of money deposited, r= annual interest rate, n= number of times compounded per year. and t= time in years. In the problem we have P= $16000, r= 3%, n= 1 and t= 5 years. The first picture is the formula used to find the total amount. After we use the formula A=P+I, since A=18548.38 and P=16000. The second picture represents the interest after 5 years.
help me guys I don't get it ?
Answer:
[tex]x =[/tex] [tex]-30[/tex]
Step-by-step explanation:
Solve for [tex]x[/tex] by simplifying both sides of the equation, then isolating the variable.