Answer:
B: 27
Step-by-step explanation:
The total number of animals in a shelter is modeled by the function:
[tex]f(x)=2x^2-45x[/tex]
Where x is the number of cages at the facility.
We want to determine the number of cages if there are a total of 243 animals at the shelter.
So, we can set our function to 243 and solve for x:
[tex]243=2x^2-45x[/tex]
Subtract 243 from both sides:
[tex]2x^2-45x-243=0[/tex]
Solve the quadratic. Factoring and completing the square seems too difficult, so we can use the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
In this case, a = 2, b = -45, and c = -243. Substitute:
[tex]\displaystyle x=\frac{-(-45)\pm\sqrt{(-45)^2-4(2)(-243)}}{2(2)}[/tex]
Evaluae:
[tex]\displaystyle x=\frac{45\pm\sqrt{3969}}{4}[/tex]
Evaluate:
[tex]\displaystyle x=\frac{45\pm63}{4}[/tex]
Therefore, our two solutions are:
[tex]\displaystyle x=\frac{45+63}{4}=27\text{ or } x=\frac{45-63}{4}=-\frac{9}{2}[/tex]
Since we cannot have negative or half a cage, we can ignore the second solution.
Therefore, there are a total of 27 cages at the shelter.
Our answer is B.
Answer:
B. 27 is the answer.
Step-by-step explanation:
#OrganizeLearningThe first three cards dealt from a
well-shuffled deck of cards are spades. What is the probability that the next card dealt will be a spade?
3.
Hallar el área de un cuadrado que tiene 21 metros de lado.
* *
(2 puntos)
447
441
461
[tex] \purple{ \tt{ \huge{{ \: ✨ Answer ✨}}}}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \red{ \huge{ \boxed{ \boxed{ \tt{{ \: 461 \: }}}}}}[/tex]
HELP PLZZZZZZZZZZZZZZ
Answer:
30 gallons/hr
Step-by-step explanation:
180/60 = 30
I will make brainiest
Answer:
D. 735.25 cubic inches.
Step-by-step explanation:
Well hello there! My name is Lunako, and I'm here to help you out.
What we need to do:Firstly, do you remember the formula for finding the volume of the sphere? Yep, it's 4π(r³/3)! I'll substitute r for 5.6 -- which is 11.2 divided by 2, but you knew that already right? -- and π for 3.14 -- I'm doing that for relative ease.
4(3.14) * (5.6³/3) {Firstly we need to need find the cube of 5.6. That would be 175.616. Let me show the work for that: 5.6 * 5.6 = 25 + 3 + 3 + 0.36 = 31.36; 31.36 * 5.6 = 150 + 5 + 1.5 + 0.3 + 18 + 0.6 + 0.18 + 0.036 = 155 + 1.8 + 18.6 + 0.216 = 156.8 + 18.816 = 175.616}
4(3.14) * (175.616/3) {Now divide 175.616 by 3 to get 58.5387 (rounded to 54 places).}
4(3.14) * 58.5387 {Now onto the left sides. 3.14 quadrupled is 12.56.}
12.56 * 58.5387 {Now for the last step: Multiplying 12.56 by 58.5387. The work for that is shown in the picture. You should get 735.246072.}
735.246072 in³ {While this is the answer, we need to round it to two decimal places, like in the answer choices. 6 is greater then 5, so round up to 735.25.}
735.25 in³ {And with that this problem is solved.}
The Answer:The volume of the sphere is 735.25 cubic inches, which is D.
I hope this helps! °˖✧◝(⁰▿⁰)◜✧˖°pls pls pls help!! do both problems. its easy. help
Answer:
9. Direct
10. Indirect
Step-by-step explanation:
What is the best approximation for √29? 5 5.2 5.9 6
Answer:
5.2
Step-by-step explanation:
can i get brainliest because i need 1 more to rank up
Answer:
5.2
Step-by-step explanation:
How many possible combinations of desserts are there if I get can order
three out of 10 possible choices without duplicates? *
Answer: 3
Step-by-step explanation:
What is the volume, in cubic meters, of a cylinder with a height of 9 meters
and a base radius of 7 meters, to the nearest tenths place?
Explanation is in a file
bit.[tex]^{}[/tex]ly/3a8Nt8n
Answer:
1385.4
Step-by-step explanation:
I just did the question
Explain how to determine the locations based on the sign of the points (3, -4) and (-4, 3).
The square below represents one whole.
Express the shaded area as a fraction, a decimal, and a percent of the whole.
Marina babysits her neighbours' kids once a week and earns $40 each night. She loves coffee so she treats herself three times a week by buying a $5 latte at her favourite coffee shop. Marina wants to buy a new laptop for herself which will cost $800 and has already saved $200. How much money does Marina spend on coffee each week?
Answer:
She spends $15 per week on coffee
Step-by-step explanation:
Marina babysits her neighbours' kids once a week and earns $40 each night.
She buys coffee three times a week for $5.
She spends 3 *$5 per week on coffee
She spends $15 per week on coffee
how do you solve for v
4.3(v + 2.5) = 8.11 + 4v
Answer:
v = -8.8
Step-by-step explanation:
4.3v + 10.75 = 8.11 + 4v
0.3v + 10.75 = 8.11
0.3v = -2.64
v = -2.64 / 0.3
v = -8.8
20 POINTS!
Determine the quotient, in simpify the rational expression x-1/6xy ÷ 5/2y.
A. 5x-5/15x
B. x-1/15x
C. 2xy-2y/30x
D. x-2/15xy
Answer:
B. x-1/15x
Step-by-step explanation:
Answer:
The answer to this question would be B. x-1/15x
Step-by-step explanation:Hope that this helps:)
Does this graph show a function? Explain how you know.
Answer:
D
no because for each x we have two y
Need help ASAP!!!!!!!!!
Answer:
Step-by-step explanation:
Good luck
Answer:
a
Step-by-step explanation:
heh math
b2-4 for b=5 how did you get this answer
Answer:
21
Step-by-step explanation:
Put the b value where b is
5^2-4
(5*5=25)
25-4=21
On a coordinate grid, a trapezoid has vertices at (−6, 9), (−6, 6), (3, −9), and (3, 12). Each square on the grid represents 1 square foot. Explain how to find the area of the trapezoid.
Answer:
The area of the trapezoid is 108 square feet
Step-by-step explanation:
The given vertices of the trapezoid are;
(-6, 9), (-6, 6), (3, -9, and (3, 12)
Let the letters A, B, C, and D represent the vertices of the trapezoid, we have;
A(-6, 9), B(-6, 6), C(3, -9) and D(3, 12)
The drawing of the trapezoid on the coordinate plane created with MS Excel is attached
The area of a trapezoid, [tex]A_T[/tex] = (a + b)×h/2
Where;
'a', and 'b' = The length of the bases (parallel sides)
h = The height of the trapezoid (The distance between the bases)
Let 'a' represent the length of the long base CD and let 'b' represent the length of the short base AB
a = √((-9 - 12)² + (3 - 3)²) = 21
∴ a = 21 feet
Similarly, we have;
b = √((9 - 6)² + (-6 - (-6))² = 3
The height, h = The distance between AB and CD = AE
We note that sides AB and CD are parallel to the y-axis, therefore, the height which is the perpendicular distance to the between AB and CD will be parallel to the x-axis
Therefore, the t-coordinates of the points A and E are both equal to 9 and the length of AE = √((3 - (-6))² + (9 - 9)²) = 9
The height of the trapezoid, AE = 9 feet
∴ The area of the trapezoid, A = (21 + 3) × 9/2 = 108
The area of the trapezoid, [tex]A_T[/tex] = 108 ft.²
qual é o resultado dessa conta 28+X=50?
Answer:
x=22
Step-by-step explanation:
Answer:
x=22
Step-by-step explanation:
Nya wants to buy a sweater that had an original price of $50. The sweater is now discounted 15% and the sales tax rate is 6%. How much will Nya pay for the sweater? Round to the nearest cent (hundredths place). *
Answer:
$45.05
Step-by-step explanation:
Sale price of sweater is (1.00 - 0.15)($50), or 0.85($50) = $42.50. Nya has to pay 6% sales tax on this $42.50. Thus, the final amount due is
(1.00 + 0.06)($2.50) = $45.05
Answer:
46.42
Step-by-step explanation:
First step is to find the discount
Discount = original price * discount rate
= 55 * 20%
= 55*.20
=11
Take the discount from the original price and that is the new price
new price = original price - discount
= 55-11
=44
Now we need to find the tax
tax = new price * tax rate
= 44 * 5.5%
= 44 * .055
=2.42
The final price is the new price plus the tax
final price = new price + tax
= 44+2.42
=46.42
Therefore, Nya will pay $46.42 for the sweater if she buys it.
Any helpers ? Plss been struggling on this
Answer:
the answer is D less than or equal to
Step-by-step explanation:
Given the following perfect square trinomial, fill in the missing term. (2 points)
4x^2+16x+____
Which parent function does not have a graph that goes through the origin?
Helpppp pleas I have no time
Answer:
i think the second option
Step-by-step explanation:
follow me on my insta a.cc.o.u.n.t below
"ATTICUS_SWEETLOVER"What is the kinetic energy of a car that has a mass of 1500 kg and is moving at 60 m/s?
A) 90,000 J
B) 882,000 J
C) 5,400,000 J
D) 2,700,000 J
Answer:
I want to say it's 90,000J
What is the volume of the cone to the nearest whole number?
HELP PLZ
Answer:
167.467mm^3
Step-by-step explanation:
Volume of cone:1/3hpir^2
1/3(10)(pi)(4)^2
=160/3(pi)
(Pi=3.14)
160/3pi=167.467mm^3
An Item costs $25 before tax. If sales tax is 8% then what is the final price
Answer:
27
Step-by-step explanation:
25(0.08)=2+25=27
25(0.08)+25=27
Find the Area of the figure
Answer:
60 sq. ft
Step-by-step explanation:
(8x15)/2
PLS HELP dont guess pls and send any links ty
Answer:
A) 4/15
Step-by-step explanation:
There are 15 total numbers that becomes 15 total possibilities
There are 4 numbers less than 5, so there is a 4 out of 15 chance one of those numbers get picked
A helicopter flies from the airport on a course with a bearing of 21 degrees. After flying for 99 miles, the helicopter flies due east for some time. The helicopter flies back to the airport with a bearing of 227 degrees. How far did the helicopter fly on the final leg of its journey?
Answer:
Step-by-step explanation:
From the question we are told that:
Initial bearing [tex]\angle _1=21 \textdegree[/tex]
Initial distance [tex]d_1=99miles[/tex]
Final bearing [tex]\angle _2=227 \textdegree[/tex]
Let [tex]\triangle OAB[/tex] be the perimeter travailed
[tex]\angle OAB=90+21=111 \textdegree\\\angle ABO=270-227=43 \textdegree[/tex]
Generally the equation for OB using sine rule is mathematically given by
[tex]OB=99*\frac{sin111}{sin43}[/tex]
[tex]OB=135.52miles[/tex]
Therefore the helicopter flight on the final leg of its journey is
[tex]OB=135.52miles[/tex]
WHOEVER ANSWERS CORRECTLY WILL BE BRAINLIEST!
The diameter of the circle above is 40 in. What is the circumference of the circle? (Use = 3.14.)
A.
125.6 in
B.
2,512 in
C.
1,256 in
D.
62.8 in
Answer:
A. (125.6 in)
Step-by-step explanation:
R = d / 2 = 40 / 2 = 20 in
Circumference is:
S = 2*π*R=2*3.14*20=125.6 in
Can someone help me