Answer: 0.1(1000 + 300m)
Use the distributive property: a x (b + c) = a x b + a x c
0.1 x 1000 + 0.1 x 300m
Evaluate both products: 100 + 30m (1)
Note: Multiplying a number by 0.1 is the same as dividing the number by 10.
We need to determine the profit when 50 pieces are sold.
Substitute m with 50 in equation (1).
100+30(50)
Evaluate product: 100 + 1500
Evaluate sum" 1600
Thus the profit is $1600.
Step-by-step explanation: I hope this helps you on any other problem! :)
Good Luck!
Find the exact value of sin^-1(-√3/2)
Answer:
-60°
Step-by-step explanation:
Your calculator and/or your knowledge of trig function values can find this for you.
The arcsine function has a range of -90° to +90°. Positive angles 240° and 300° will also have the sine value -√3/2.
arcsin(-√3/2) = -60° = -π/3 radians
c. A square that is 8 inches on a side is placed inside a rectangle that has a length of 24 inches and a width of 20 inches. What is the area of the region inside the rectangle that surrounds the square?
Area = length x width
Area of square = 8 x 8 = 64 square inches
Area of rectangle = 24 x 20 = 480 square inches
Area of rectangle surrounding the square = 480 - 64 = 416 square inches
Answer: 416 square inches
The hypotenuse AB of the right triangle ABC is parallel to the axis of the abscess. Find the length of the hypotenuse if A (-1; 1) and C (3; -4)
Answer:
10.25
Step-by-step explanation:
The slope of AC is given by the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (-4 -1)/(3 -(-1)) = -5/4
Then the slope of CB is the opposite reciprocal, 4/5. The equation of line CB in point-slope form is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -(-4) = 4/5(x -3) . . . . line CB
When y = 1 (to match the y-value of A), then ...
1 +4 = 4/5(x -3)
5(5/4) = (x -3) . . . . . multiply by 5/4
6.25 +3 = x = 9.25 . . . . add 3
Point B is (9.25, 1).
The length of the hypotenuse is ...
9.25 -(-1) = 10.25
3(y+8)=2y-6 what is y=
Answer:
y = -30
Step-by-step explanation:
3 (y + 8) = 2y - 6
3y + 24 = 2y -6 Distribute the 3
y + 24 = -6 Subtract 2y on both sides
y = -30 Subtract 24 on both sides
The Hickory Stick has a selection of 3 meats and 6 vegetables. How many different selections of one meat and one vegetable are possible
The different selections of one meat and one vegetable are possible are 18 selections.
Since the Hickory Stick has a selection of 3 meats and 6 vegetables, the number of ways we can select one meat out of 3 is ³C₁ = 3.
Also, the number of ways we can select one vegetable out of 6 is ⁶C₁ = 6.
So, the total number of selections of one meat and one vegetable is ³C₁ × ⁶C₁ = 3 × 6
= 18 selections
So, the different selections of one meat and one vegetable are possible are 18 selections.
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find the difderence of 3/4 and 1/28
Answer:
5/7
Step-by-step explanation:
3/4-1/28
21/28-1/28
20/28
simplify
5/7
Find m< FED Im
giving this question 20 points
Answer:
180° - (61° + 61°) = 58°
Step-by-step explanation:
we can see that two sides of the angle are equilateral making it equiangular therefore the other angle is 61° and solve for <FED
In a cookie jar,
1
5
of the cookies are chocolate chip and
1
2
of the rest are peanut butter. What fraction of all the cookies is peanut butter?
Which tape diagram shows the cookies that are chocolate chip?
All cookies
Chocolate
chip
All cookies
Chocolate
chip
All cookies
Chocolate
chip
Excellent!
Which tape diagram shows the cookies that are peanut butter?
All cookies
Chocolate
chip
Peanut
butter
All cookies
Chocolate
chip
Peanut
butter
All cookies
Chocolate
chip
Peanut
butter
Good work!
Use the tape diagram to solve.
well, a WHOLE is 1, which we can split in many fractions, say 5/5, 10/10 or 999/999 and so on.
we know 1/5 of the jar is chocolate chip, and there's the rest, well, the Whole jar in 5ths have to be 5/5, if we take away 1/5 from 5/5, the "rest" is 5/5 - 1/5 = 4/5.
now, we also know that 1/2 of the "rest" is peanut butter, or namely that 1/2 of 4/5 is peanut butter, how much will that be? let's divide 4/5 by 2
[tex]\cfrac{4}{5}\div 2\implies \cfrac{4}{5}\div \cfrac{2}{1}\implies \cfrac{4}{5}\cdot \cfrac{1}{2}\implies \cfrac{4}{10}\implies \cfrac{2}{5}[/tex]
[tex]{ \color{darkred}{(2+√3)+(4-√3)}} = ?[/tex]
︎︎︎︎︎︎︎︎︎︎︎︎︎︎︎︎︎︎
[tex](2 + \sqrt{3} ) + (4 - \sqrt{3} ) \\ = 2 + \sqrt{3} + 4 - \sqrt{3} \\ = 2 + 4 \\ = 6[/tex]
Answer:
6
Hope you could get an idea from here.
Doubt clarification - use comment section.
[tex]\huge \bf༆ Answer ༄[/tex]
Here's the solution ~
[tex] \sf(2 + \sqrt{3} ) + (4 - \sqrt{3}) [/tex][tex] \sf2 + \cancel {\sqrt{3} } + 4 - \cancel{\sqrt{3} }[/tex][tex] \sf6[/tex]Carry out the following integrals, counterclockwise, around the indicated contour
For the first integral, z = π/4 is a pole of order 3 and lies inside the contour |z| = 1. Compute the residue:
[tex]\displaystyle \mathrm{Res}\left(\frac{e^z\cos(z)}{\left(z-\frac\pi4\right)^3}, z=\frac\pi4\right) = \lim_{z\to\frac\pi4}\frac1{(3-1)!} \frac{d^{3-1}}{dz^{3-1}}\left[e^z\cos(z)\right][/tex]
We have
[tex]\dfrac{d^2}{dz^2}[e^z\cos(z)] = -2e^z \sin(z)[/tex]
and so
[tex]\displaystyle \mathrm{Res}\left(\frac{e^z\cos(z)}{\left(z-\frac\pi4\right)^3}, z=\frac\pi4\right) = - \lim_{z\to\frac\pi4} e^z \sin(z) = -\frac{e^{\pi/4}}{\sqrt2}[/tex]
Then by the residue theorem,
[tex]\displaystyle \int_C \frac{e^z\cos(z)}{\left(z-\frac\pi4\right)^3} \, dz = 2\pi j \left(-\frac{e^{\pi/4}}{\sqrt2}\right) = \boxed{-\sqrt2\,\pi e^{\pi/4} j}[/tex]
For the second integral, z = 2j and z = j/2 are both poles of order 2. The second poles lies inside the rectangle, so just compute the residue there as usual:
[tex]\displaystyle \mathrm{Res}\left(\frac{\cosh(2z)}{(z-2j)^2\left(z-\frac j2\right)^2}, z=\frac j2\right) = \lim_{z\to\frac j2}\frac1{(2-1)!} \frac{d^{2-1}}{dz^{2-1}}\left[\frac{\cosh(2z)}{(z-2j)^2}\right] = \frac{16\cos(1)-24\sin(1)}{27}j[/tex]
The other pole lies on the rectangle itself, and I'm not so sure how to handle it... You may be able to deform the contour and consider a principal value integral around the pole at z = 2j. The details elude me at the moment, however.
Ann received a $90 gift card for a coffee store. She used it in buying some coffee that cost $8.04 per pound. After buying the coffee, she had $65.88 left on her
card. How many pounds of coffee did she buy?
pounds
5
?
Answer:
3 lbs of coffee
Step-by-step explanation:
$90.00 - $65.88 =$24.12 (spent 24.12 on the coffee)
24.12/8.04 = 3
Answer:
3 ponds of Coffee. take what she spent, and subtract it from the total. Then divide that number by the cost of 1 lb. of coffe. You get 3. 3 pounds.
The figure shown is to be painted on a road sign. Which of the following best describes the two polygons that form the figure?
A. A rectangle and an isosceles trapezoid
B. A rectangle and a rhombus
C. A rectangle and a parallelogram
D. A rectangle and an isosceles triangle
Answer:
D: A rectangle and an isosceles triangle
Step-by-step explanation:
A recangle for the base of the arrow, and an isosceles triangle to form the full arrow.
The answer will be option D which is a rectangle and an isosceles triangle.
What is an isosceles triangle?The triangle in which the two opposite sides are equal and the two opposite angles are equal is called the isosceles triangle.
As we can see in the figure there are one isosceles triangle and a rectangle are joined together to form an arrow.
Thus the answer will be option D which is a rectangle and an isosceles triangle.
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Trey wants to earn more than $89 trimming trees. He charges $8 per hour and pays S7 in equipment fees. What are the possible numbers of hours Trey could
trim trees?
Use t for the number of hours.
Write your answer as an inequality solved for t.
Answer:
11 hours
Step-by-step explanation:
8t + 7 > 89
8t > 81 : subtract 7 from both sides
t > 10.125 : divide by 8 for both sides
t = 11 : estimate
Trey has to work 11 hours because 10 hours would only give him $87.
Elevator 1 in a building moved from ground position to a final position of +13 feet. Elevator 2 in the same building moved from ground to a final position of −10 feet. Which statement best describes the final positions of these two elevators? (5 points)
Question 4 options:
1)
Elevator 1 is 13 feet above ground level, and Elevator 2 is 10 feet below the position of Elevator 1.
2)
Elevator 1 is 13 feet below ground level, and Elevator 2 is 10 feet above the position of Elevator 1.
3)
Elevator 1 is 13 feet below ground level, and Elevator 2 is 10 feet above ground level.
4)
Elevator 1 is 13 feet above ground level, and Elevator 2 is 10 feet below ground level.
Answer:
Elevator 1 is 12 feet above ground level, and Elevator 2 is 15 feet below the position of Elevator 1. We are given that Elevator 1 is "+12 feet" and Elevator 2 is "-15 feet" meaning 15 feet below that of Elevator 1 (because they said it was where it was at Elevator 1 ground level prior), so this should be your answer "A".
Step-by-step explanation:
1 a
Given that
P
=
x
+
y
.
Find
P
when:
x
=
3
and
y
=
−
11
Answer:
-8
Step-by-step explanation:
3-11=-8
Answer:
8
Step-by-step explanation:
movie theater charges $9 for adults and $7 for senior citizens. On a day when 325 people paid an admission, the total receipts were $2504. How many were seniors and how many were adults?
I will set it up.
Let a = adults
Let s = seniors
The first equation is a + s = 325.
The second equation is 9a + 7s = 2504.
Here is your system of equations:
{a + s = 325
{9a + 7s = 2504
Take it from here.
Factor: 3x4y3 – 48y3
Answer: 4y3(1x1 - 12)
3x4y3 – 48y3
4y3(1x1 - 12)
Can i get some help with this inductive reasoning test, the answer and the explanation please. Thank you.
Answer:
8, 2.
Step-by-step explanation:
2*4 is 8 so I think line them up together and 12/6 is 2
Help help help help math math
Answer:
x = 35
Step-by-step explanation:
First, set both equations equal to each other because it is the same angle (congruent)
6x - 20 = 4x + 50
-4x and +20 to both sides of the equation and you end up with:
2x = 70
divide both sides by 2 and:
x = 35
How do you do the work on this problem I’ve been stuck in it for a couple hours now.
56.2 m
Step-by-step explanation:
We can solve for the maximum height by calculating the derivative of y with respect to time and then equating it to zero, i.e.,
[tex]\dfrac{dy}{dt} = 0[/tex]
then solve for the time t that satisfies the equation above. The expression for the height y is
[tex]y = 60t - 16t^2[/tex]
Taking the derivative of this expression, we get
[tex]\dfrac{dy}{dt} = 60 - 32t = 0 \Rightarrow t = \dfrac{60}{32} = 1.9\:\text{s}[/tex]
This means that at t = 1.9 s, the ball would have reached its maximum height. To determine this height, use this value for t in the the equation for y to get
[tex]y = 60(1.9\:\text{s}) - 16(1.9\:\text{s})^2 = 56.2\:\text{m}[/tex]
solve the compound inequality 2(x-2)+7>-1 and 5-4x>9
Answer:
1) x > -2
2) x < -1
Step-by-step explanation:
1) 2(x - 2) + 7 > -1
2x - 4 + 7 > -1
2x + 3 > -1
2x > -4
x > -2
2) 5 - 4x > 9
-4x > 4
x < -1
Use the counting techniques from the last chapter. A bag contains three red marbles, three green ones, one fluorescent pink one, two yellow ones, and four orange ones. Suzan grabs four at random. Find the probability of the indicated event.
She gets at least two red ones, given that she gets at least one green one.
Using the combination formula and the probability concept, it is found that there is a 0.1259 = 12.59% probability that she gets at least two red ones, given that she gets at least one green one.
A probability is the number of desired outcomes divided by the number of total outcomes.In this problem, the order in which the marbles are taken is not important, hence, the combination formula is used to solve this question.Combination formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Desired outcomes:
2 red from a set of 3.1 green from set of 3.1 from a set of 1 + 2 + 1 + 2 + 4 = 10.Hence:
[tex]D = C_{3,2}C_{3,1}{C_{10,1}} = \frac{3!}{2!1!} \times \frac{3!}{1!2!} \times \frac{10!}{1!9!} = 90[/tex]
Total outcomes:
Four marbles are taken from a set of 13, hence:
[tex]T = C_{13,4} = \frac{13!}{4!9!} = 715[/tex]
Then, the probability is:
[tex]p = \frac{D}{T} = \frac{90}{715} = 0.1259[/tex]
0.1259 = 12.59% probability that she gets at least two red ones, given that she gets at least one green one.
To learn more about the use of the combination formula and the probability concept, you can check combination formula and the probability concept,
What is the length of XY?
Answer:
XY = 11.25
Step-by-step explanation:
Corresponding sides of similar triangles are proportional.
XY/5 = 18/8
XY = 5(9/4) = 45/4
XY = 11.25
rewrite in simplest terms -8(-10u+6u-7)-10u
Answer:
22u + 56
Step-by-step explanation:
-8(-10u + 6u - 7) - 10u
1.) Combine like terms
-8(-10u + 6u - 7) - 10u
-8(-4u - 7) - 10u
2.) Distribute
-8(-4u - 7) - 10u
-8(-4u) -8(-7) - 10u
32u + 56 - 10u
3.) Combine like terms
32u + 56 - 10u
22u + 56
Therefore, the simplified equation is 22u + 56.
Answer:
22u+56
Step-by-step explanation:
1. simplify each term:
32u+56−10u
2. Subtract 10u from 32u.
22u+56
Hope this helps :)
On Tuesday morning a school cafeteria served 18 gallons of orange juice during breakfast. How many cups are in 18 gallons?
A.288 cups
B.64 cups
C.2,048
D.128 cups
Answer:
A
Step-by-step explanation:
288 cups did this before
I need help with this answer PLEASE I’m stuck
Answer:
40% of airline A's flights were on time
Step-by-step explanation:
0.4=40% .the top row indicates that it was airline A. the left column indicates that it was on time.
Answer:
B
Step-by-step explanation:
happy holidays
Stacy is selling tickets to the school play. The tickets are $7 for adults and $4 for children she sells twice as many adult tickets as children’s tickets and brings in a total of $270. How many of each kind of ticket did she sell?
Stacy sold 15 children tickets and 30 adult tickets.
The tickets are $7 for adults and $4 for children.
She sells twice as many adult tickets as children tickets and bring in a total of $270.
Therefore,
let
number of children ticket sold = x
number of adult ticket sold = 2x
7(2x) + 4(x) = 270
14x + 4x = 270
18x = 270
x = 270 / 18
x = 15
The number of children ticket sold = 15
The number of adult ticket sold = 15 × 2 = 30
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how do i get the answer for this problem. 2x+2x+2=4x+2
The price of a bicycle is $108.00 plus 7% sales tax. What is the sales tax on this bicycle in dollars and cents?
Answer:
$7.56
Step-by-step explanation:
7% = 0.07
108.00 x 7% = $7.56
Find the median of the following data set. 0.48, 0.66, 1.02, 0.82, 0.7, 0.94 0.44 1.02 0.76