Answer:
B - 1100 tickets
Step-by-step explanation:
Fixed costs appear to be ...
$2,200 +1,500 = $3,700
The amount of cost that is not covered by concession income is ...
$3,700 -1500 = $2,200 . . . . remaining cost
The contribution margin per ticket is apparently ...
$5 -3 = $2
So, the number of tickets that must be sold to cover the remaining cost is ...
$2200/($2/ticket) = 1100 tickets
8/9 write simplified
Evaluate the integral:
Substitute x = √7 sin(t) and dx = √7 cos(t) dt. Then
∫ √(7 - x²) dx = ∫ √(7 - (√7 sin(t))²) • √7 cos(t) dt
… = √7 ∫ √(7 - 7 sin²(t)) cos(t) dt
… = 7 ∫ √(1 - sin²(t)) cos(t) dt
… = 7 ∫ √(cos²(t)) cos(t) dt
We require that -π/2 ≤ t ≤ π/2 in order for the substitution we made to be reversible. Over this domain, cos(t) ≥ 0, so
√(cos²(t)) = |cos(t)| = cos(t)
and the integral reduces to
… = 7 ∫ cos²(t) dt
Recall the half-angle identity for cosine:
cos²(t) = (1 + cos(2t))/2
Then the integral is
… = 7/2 ∫ (1 + cos(2t)) dt
… = 7/2 (t + 1/2 sin(2t)) + C
… = 7t/2 + 7/4 sin(2t) + C
Get the antiderivative back in terms of x. Recall the double angle identity for sine:
sin(2t) = 2 sin(t) cos(t)
We have t = arcsin(x/√7), which gives
sin(t) = sin(arcsin(x/√7)) = x/√7
cos(t) = cos(arcsin(x/√7)) = √(7 - x²)/√7
Then
∫ √(7 - x²) dx = 7/2 arcsin(x/√7) + 7/4 • 2 sin(arcsin(x/√7)) cos(arcsin(x/√7)) + C
… = 7/2 arcsin(x/√7) + x/2 √(7 - x²) + C
Help pllsssssss to find the vAlue of a
Answer:
a = 11
Step-by-step explanation:
As all angles on a straight line must add up to 180°:
(9a + 6) + 75 = 180
9a + 6 + 75 = 180
9a + 81 = 180
Subtract 81 from both sides of the equation:
9a + 81 - 81 = 180 - 81
9a = 99
Divide both sides by 9 to isolate a:
9a ÷ 9 = 99 ÷ 9
a = 11
Hope this helps!
Answer:
[tex]a=11[/tex]
Step-by-step explanation:
These are supplementary angles, meaning they together make up the whole measure of the angle of a straight line. A straight line is 180°, so the sum of these has to be 180° too:
[tex](9a+6)+75=180[/tex]
Then just solve for a:
[tex]9a+6+75=180\\9a+81=180\\9a=99\\a=11[/tex]
Find the difference (6d+5) - (2-3d)
Answer:
(9d+3)
Step-by-step explanation:
(6d+5)-(2-3d)
>(6d+5)+(-2+3d)
>{(6d+3d)+(5-2)}
=(9d+3)
Write an equation of the line passing through (-2,1) and (3,2). Give the answer in standard form
how do i delete my answer because apparently my answer is wrong so yes i don't know how to delete it so i'm just editing it and have a good day people
Answer:
y=[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
y=m-+x so y=slope+or-y-intercept
Is the inequality 5-x^2<4 true for x=1?
5 - x² < 4
- x² < 4 - 5
- x² < - 1
=》x² < 1
Now, let's check with x = 1
x² < 1
(1)² < 1
1 < 1
1 is not less than or greater than 1. They are equals. So, the inequality 5 - x² < 4 is NOT true for x = 1.
_____
Hope it helps ⚜
can retainers still fit w a small gap?
Answer:
Retainers have been designed to be used as an end of treatment to help retain your teeth in their new position. ... These are removable and fixed retainers. The reason why retainers can't be used to close a gap is because they are fitted at the end of treatment and are made to fit the straight teeth mould.
hope it help u
itz by Riddhi
Answer:
yes
Step-by-step explanation:
4/10 proportional to 6/15
Answer:
Nooooooo
Step-by-step explanation:
A’= _ , _
B’= _ , _
C’= _ , _
Answer:
if it's only translated left 3, then it should be A (-5, -1) B (-1, -1) and C (-1, 2)
I need a step by step explanation as well as work
Answer:
x = 2
m = 15/4
a = 5/4
Step-by-step explanation:
When the "base" lines are parallel, all of the triangles are similar. That means corresponding segments are proportional, including corresponding parts of segments.
We see that x corresponds to a partial segment marked 3. That same top-bottom correspondence has another pair of segments marked 2 and 3. That means x=2.
x/3 = 2/3 ⇒ x = 2
__
The segments marked 'm' and 'a' are "whole side" segments, so we need to put those in proportions with corresponding whole sides. If we use the bottom side, we find ...
a/3 = 5/(3+6+3) = 5/12 ⇒ a = 5/4 = 1 1/4 . . . . . multiply by 3
and
m/(6+3) = 5/12 ⇒ m = 15/4 = 3 3/4 . . . . . multiply by 9
__
x = 2
m = 15/4
a = 5/4
Can u help me with my homework
p(x)=x-3
g(x) = 2x-5
Find the following.
(p ° q)(5)= and (q ° p)(5)=
Answer:
(p∘q)(5) = 2
(q∘p)(5) = -1
Step-by-step explanation:
The composition of functions can be written a little differently, perhaps making it easier to understand.
(p∘q)(x) = p(q(x))
(p∘q)(5) = p(q(5)) = p(2·5 -5) = p(5) = 5 -3
(p∘q)(5) = 2
__
(q∘p)(5) = q(p(5)) = q(2) = 2·2 -5
(q∘p)(5) = -1
Tomika uses 6 1/9 inches of wire to make a necklace and 3 1/3 inches of wire to make a bracelet. How many necklace and bracelet sets can she make if she uses 28 1/3 inches of wire in all?
Answer:
3
Step-by-step explanation:
is it 90 IF NOT CAN SOMEONE TELL ME please
Answer:
90Step-by-step explanation:
1000 + 500 = 1500mg (for 1 day)
1500 * 30 = 4500mg (1 month)
4500 : 500 = 90 tablets
write a two column proof. given: ab is congruent to ed, ca is congruent to ce; ac bisects bd. Prove abc is congruent edc.
Given that, AB ≅ ED, CA ≅ CE, and AC bisects BD, the two-column proof that shows ΔABC ≅ ΔEDC by SSS Congruence Theorem is shown in the image attached below.
What is the SSS Congruence Theorem?The side-side congruence theorem (SSS) states that if two triangles has three pairs of sides that are congruent to each other, then both triangles are congruent.
We are given the following information:
AB ≅ EDCA ≅ CEAC bisects BDSince AC bisects BD, therefore the third pair of sides of ΔABC and ΔEDC, BC and CD, will be congruent.
Therefore, it implies that both triangles has three pairs of congruent sides (AB ≅ ED, CA ≅ CE, and BC ≅ CD), which meets the criterion of the SSS Congruence Theorem.
Therefore, ΔABC ≅ ΔEDC by SSS Congruence Theorem.
The two-column proof that shows ΔABC ≅ ΔEDC by SSS Congruence Theorem is shown in the image attached below.Learn more about the SSS Congruence Theorem on:
https://brainly.com/question/19262620
the rectangular gable is 8 feet tall the area of the gable is 120 square feet, what is the length of the base
What is an equation of the line that passes through the points (-7, 7) and (3, 7)(
Answer:
y=7
Step-by-step explanation:
The slope is (7-7)/(3+7) = 0. So, the line is a horizontal line.
The y value of both points is 7.
Green Valley High School recently completed an expansion. Of the new classrooms, 11 are math
classrooms, 8 are science classrooms, and 6 are history classrooms. If a single classroom is picked at
random, what is the probability that the classroom is for math or history?
Answer: 68%
Step-by-step explanation:
The best way to do this is add up the number of math and history rooms, and divide that by the total number of rooms.
There are 17 total math and history rooms, and 25 rooms total.
17/25 = .68
Multiply that by 100 to get the percent and the answer is 68%
How do u write x/7=14 in algebra tiles
Answer:
98 is the answer.
Step-by-step explanation:
x/7 = 14
=> 14 × 7 = 7 × x/7
=> x = 98
Therefore, 98 is the answer.
Hoped this helped.
An angle measures 152° more than the measure of its supplementary angle. What is the measure of each angle?
° and
°
Answer:
14° and 166°
Step-by-step explanation:
Ok, so a supplementary angle is 180°.
Let's say one angle is x and the other angle is x+152.
We know these angles add up to a supplementary angle (180°) so...
x+(x+152)=180
x+x+152=180
2x+152=180
2x=28
x=14
So now we know one angle is 14°, we also know the other angle is x+152, knowing that x=14 we can plug it in 14+152= 166° for the other angle.
Hope this helps :)
What are the length and width of a rectangular traffic sign if the length exceeds the width by 4 inches and the perimeter is 152 inches?
Answer:
L = 40
w = 36
Step-by-step explanation:
P = 2*L + 2*w
L = w + 4
w = w
P = 152
P = 2*(w + 4) + 2*w Remove the brackets
P = 2w + 8 + 2w Combine and switch sides Use P = 152
4w + 8 = P
4w + 8 = 152 Subtract 8 from both sides.
4w = 152 - 8
4w = 144 Divide by 4
4w/w = 144/4
w = 36
L = w + 4
L = 36 + 4
L = 40
7(2+3x)+8, 12+3(8+x), and (7x+2)3+8x
Answer:
The first answer is 21x+22.
Second answer is 36+3x.
Third answer is 29x+6.
Step-by-step explanation:
I just simplified
The original price of a Shirt was $45. In sales, the shirt is reduced to $32.50. Calculate the percentage reduction.
Answer:
27.8%
Step-by-step explanation:
[tex]\frac{32.5}{45} =0.722[/tex]
0.722 = 72.2%
The % reduction is:
(100-72.2)% = 27.8%
Hope this helps
QUESTION 4 PLEASE HELP ME ASAP
Answer:
Part 1: The entry fee is $5
Part 2: Each minute costs 25 cents
Step-by-step explanation:
In the expression, the '+5' represents the fee added to '.25m' the cost per each minute.
−4 1/2÷(−2 2/3) i need help
Answer:
[tex]1\frac{11}{16}[/tex]
Step-by-step explanation:
Convert mixed numbers into improper fractions.
= [tex]\frac{-\frac{9}{2}}{\left(-2\frac{2}{3}\right)}[/tex]
= [tex]\frac{-\frac{9}{2}}{\left(-\frac{8}{3}\right)}[/tex]
= [tex]\frac{\frac{9}{2}}{\frac{8}{3}}[/tex]
= [tex]\frac{9\cdot \:3}{2\cdot \:8}[/tex]
= [tex]\frac{27}{2\cdot \:8}[/tex]
= [tex]\frac{27}{16}[/tex]
Convert improper fraction into mixed number.
= [tex]1\frac{11}{16}[/tex]
Find the least common denominator for these fractions. Enter your answer in
the space provided.
5/6
and
5/4
Answer:
LCD = 12
Equivalent Fractions with the LCD
5/6 = 10/12
5/4 = 15/12
Step-by-step explanation:
Rewriting input as fractions if necessary:
5/6, 5/4
For the denominators (6, 4) the least common multiple (LCM) is 12.
LCM(6, 4)
Therefore, the least common denominator (LCD) is 12.
Calculations to rewrite the original inputs as equivalent fractions with the LCD:
5/6 = 5/6 × 2/2 = 10/12
5/4 = 5/4 × 3/3 = 15/12
I used a least common denominator calculator so I hope this helped!!
Help help hep help help math
Answer:
Angle 5
Step-by-step explanation:
How Much Percentage is 7 out of 45.99?
Answer: 0.152207 %
Step-by-step explanation: divide the amount by the total to get the percentage.
Over a lengh of 101 inches the hight changes 5" what is the angle?
Answer:
2.83°
Step-by-step explanation:
The tangent of an angle is the ratio of rise to run.
θ = arctan(5/101) ≈ 2.83°
_____
We assume the length is referring to the horizontal distance.
If it is the distance along the path, then the angle is ...
θ = arcsin(5/101) ≈ 2.84°
X is y% of what number?
Answer:
42
Step-by-step explanation:
yeah-ya.......... right?