There are essentially two ways that I know to solve this.
One is to guess.
The other is to find the prime factors of 96. For an integer to be a perfect square, each prime factor has to occur an even number of time. Therefore k would need to be the product of whatever primes occur in 96 an odd number of times.
Given that 9+6 is divisible by 3, we know that 96 is divisible by 3. Doing the division, we find that 96 = 3 * 32.
The prime factor 3 only occurs once. Therefore k must be a multiple of 3.
32 is 2 raised to the 5th power. This is an odd number of 2’s. We need one more. Therefore k must be a multiple of 2.
Therefore the smaller possible value of k is 6.
96 * 6 is a perfect square. It is the same as 64 * 9, or 24 * 24.
Hope it helps!
plzzzzzzzzzzzzzzzzzzzzzzz
Option C. Please mark me as brainliest.
The Martinex twins, Carlos and Clarita, are trying to find a
way to make money during the summer vacation. When they overhear their aunt complaining about how difficult it is to find someone to care for her pets while she will be away on a trip, Carlos
and Clarity know they have found the perfect solution. Not only do
they have a large, unused storage shed on their property where they
can house animals, they also have a spacious fenced backyard where
the pets can play. Carlos and Clarita are making a list of some of the
issues they need to consider as part of their business plan to care for cats and dogs while their owners are on vacation.
A:Cat pens will require 6ft2 of space, while dog runs require 24ft2. Carlos and Clarita have up to 360ft2 available in the storage shed for pens and runs, while still leaving enough room to move around the cages.
Utilize the information about space available to write a two variable equation to represent the amount of space used for boarding the cats and dogs. Start-up Costs: Carlos and Clarita plan to invest much of the $1280 they earned from their last business venture to purchase cat pens and dog runs. It will cost $32 for each cat pen and $80 for each dog run. Write a two variable equation to represent the start-up costs for boarding the cats and dogs. and
Graph the two equations one the same x, y plane in Desmos
B: Clarita and Carlos realize after looking at the graphed equation models they do not have to use all of the available space nor do they need to use all of the start up money. They decide to explore a system where they can better visualize and plan for up to and including the available space and start up funds.
Change your original equations into inequalities
is screenshot
C:
Of course, Carlos and Clarita want to make as much money as possible from their business, so they are trying to determine how many of each type of pet they should plan to accommodate. They plan to charge $8 per day for boarding each cat and $20 per day for each dog. After surveying the community regarding the pet boarding needs, Carlos and Clarita are confident that they can keep all of their boarding spaces filled for the summer.
So the question is, how many of each type of pet should they prepare for? Their dad has suggested the same number of each, perhaps 12 cats and 12 dogs. Would the dad’s suggestion be possible? Why or why not?
Answer:
attached pic
Step-by-step explanation:
Exercises that are _________ in nature are those that make your muscles use oxygen to perform
a) Aerobi
b) Anaerobic
Answer:
Aerobic
Step-by-step explanation:
Oxygen = aerobic
no oxygen = anaerobic
Let f be the function defined by f(x) = –x^3 – x. If g represents the inverse of f, what is g′(10)?
Answer:
[tex]\displaystyle g'(10)=\frac{1}{-13}=-\frac{1}{13}[/tex]
Step-by-step explanation:
The Derivative of the Inverse Function
Let f(x) be a real invertible function, and g(x) the inverse function of f(x), i.e.,:
[tex]g(x)=f^{-1}(x)[/tex]
We can calculate the derivative of the inverse function even if we don't have the inverse function explicitly computed. We use the formula:
[tex]\displaystyle g'(x)=\frac{1}{f'(g(x))}[/tex]
We need to find the value of g'(10) when:
[tex]f(x)=-x^3-x[/tex]
Substituting:
[tex]\displaystyle g'(10)=\frac{1}{f'(g(10))}[/tex]
We don't have the value of g(10) but we can guess its value since the inverse functions f and g satisfy:
if y=f(x), then g(y)=x, thus we need to find a value of x that produces a value of f(x)=10.
We can easily find that x=-2:
[tex]f(-2)=-(-2)^3-(-2)=8+2=10.[/tex]
Thus, g(10)=-2
Now we find:
[tex]f'(x)=-3x^2-1[/tex]
[tex]f'(-2)=-3(-2)^2-1[/tex]
[tex]f'(-2)=-3*4-1=-13[/tex]
Thus, finally:
[tex]\displaystyle g'(10)=\frac{1}{-13}=-\frac{1}{13}[/tex]
Aisha needs to be at least 48 inches tall to ride the colossal coaster at the amusement park. If she grows 5 inches during the next year, Aisha will still not be tall enough to ride. In the context of this situation, what does the inequality x less-than 43 represent? After next year, Aisha still needs to grow 43 more inches to ride. Aisha is less than 43 inches tall right now. Aisha needs to grow 43 more inches to ride. Aisha is at least 43 inches tall now.
Answer:
B
Step-by-step explanation:
right on edge 2020
Answer: i think it is b correct me if i am wrong
Step-by-step explanation:
Great things great things
Answer:
Heeeheeeeheee
Step-by-step explanation:
So right
tell whether the given ordered pair is a solution of the equation y = -2 + 5;(2,1)
Note: your equation is a little bit unclear. Thus, I am assuming that
y = 2x+5
Anyway, the procedure remains the same. It would anyways clear your concept.
Answer:
We conclude that the ordered pair (2, 1) is a solution.
Step-by-step explanation:
Given the equation
[tex]y = -2x+5[/tex]
Check for point (2, 1)
substituting the point (2, 1) in the equation to check whether the ordered point satisfies the equation or not.
[tex]y = -2x+5[/tex]
plug in x = 2 and y = 1
1 = -2(2)+5
1 = -4+5
1 = 1
R.H.S = L.H.S
TRUE
Therefore, the given ordered pairs satisifes the equation.
Hence, we conclude that the ordered pair (2, 1) is a solution.
Because of a problem in the program, the timer in a video player did not begin counting until the video had been playing for several seconds. The player began counting at 0 seconds, even though the video had already played 190 frames. The video plays 25 frames per second.
How many frames had the video already played when the time was equal to -3 2/5?
Answer:
105
Step-by-step explanation:
t = 0
frame = 190
so it means, the video has 190 before the timer start counting
speed 25 fps
-------
t = -3 2/5 s = -17/5 s
frame = ?
with the rate of 25 fps
it gain 25 x -17/5 = 85 frame.
so the video at that time has already played
190-85 = 105 frame
Camille is getting older and feels like she should donate her collection of
stuffed animals to children who are less fortunate. She has 45 stuffed
cats and 18 stuffed dogs, which she wants to divide into identical groups
with no stuffed animals left over. What is the greatest number of groups
Camille can place her stuffed animals into? *
Plz help ASAP
Answer:
Answer is in photo
Step-by-step explanation:
HELP ASAAAAAP EXPLAIIINNN
Answer:
dhdhrjfidgegehfr fhfn fhc fn dncc c. f byn
Step-by-step explanation:
h(t) = -16t² + 64t + 32
When h(t) = 80, -16t² + 64t + 32 = 80.
=> 16t² - 64t + 48 = 0
=> t² - 4t + 3 = 0
=> (t - 1)(t - 3) = 0
=> t = 1 or t = 3.
Hence the difference between the times is 2 seconds. (B)
Which expression is represented by the diagram?
--
--
|
0-6-6-1)
-8-502
-6-1
0-5-(-1)
-5-1
Maria invests her $150 for 2 years at 4% per year compound interest.
A) Calculate the exact amount Maria has at the end of 2 years.
Maria continues to invest her money at 4% per year compound interest.
After 20 years she has $328.67.
i) Calculate exactly how much more this is than $150 invested for 20 years at
simple interest.
(ii) Calculate $328.67 as a percentage of $150.
Step-by-step explanation:
A)At the end of 2years compound interest=$150(1+4/100)²=$162.24
i) Amount difference=$328.67-{($150×4×20/100)+$150}
=$328.67-$270=$58.67
ii)328.67/150×100%=121.73%
Simplify the expression below
(-4x^3+ 2x^2 - 3x)
+
(x^3+ 2x^2+3x)
Answer: = -3x^3 + 4x^2
Step-by-step explanation:
Answer:
-3x^3 + 4x^2
lmk if this helps
anna has a 12 quarter 4 dimes and 11 nickel in her piggy bank how much money is in the bank
Answer:
$3.95
Step-by-step explanation:
12*0.25=3
4*0.10=0.40
11*0.05=0.55
3+0.40+0.55=$3.95
Answer:
$3.95
Step-by-step explanation:
12q+4d+11n
CAN SOMEONE HELP ME PLEASE????
At the local video store, you can rent a video game for $3. You also have to pay a $10 membership fee. Write an equation to model the total cost, y, of renting x video games for $3 each and the $10 membership fee. Create a table of values. Use values of x from 0 to 5.
What is the total cost of 9 video games and the rental fee?
Answer:
y=3x+10
Step-by-step explanation:
The y-intercept or initial value is 10 as written on the problem and the slope is 3 because it says for each one of them. meaning that the equation will be y=3x+10
Can someone help me with this one
hmmmm put all the ratios in it like ac=8 by putting all values divide it if all part answer come same so your figure is congrenent
Keiko sold t-shirts at a festival. She made $4 for each t-shirt she sold. Her expenses were $25. If she made a profit of $71, how many t-shirts did she sell?
Answer:
She had sold 24 shirts.
Answer:
24 shirts.
Step-by-step explanation:
Let the number of shirt she sold = x.
4x - 25 = 71
4x = 96
x = 24.
five waters bottles and 2 sodas cost $5.57
Answer:
ok
Step-by-step explanation:
a school has 1800 students 55 %of the students of girls. how many boys are in the school?
Answer:
810 boys
Step-by-step explanation:
1800 students and 55% are girls.
100%-55%=45%
1800*0.45 = 810
1800*0.55 = 990
So there are 990 girls and 810 boys.
Hope this helps :)
What is the length of the hypotenuse of the triangle when x= 12?
6x+4
5x
The length of the hypotenuse is about
(Round to the nearest tenth as needed.)
Answer:
The length of the hypotenuse: c = 96.8 units
Step-by-step explanation:
Given the sides
a = 6x+4b = 5xc = hypotenuse = ?Given that the x = 12
so
a = 6x+4 = 6(12)+4 = 76b = 5x = 5(12) = 60Pythagorean Theorem:
For a right angled triangle with sides 'a' and 'b', the hypotenuse 'c' is defined as:
[tex]c=\sqrt{a^2+b^2}[/tex]
substituting a = 76 and b = 60
[tex]c=\sqrt{76^2+60^2}[/tex]
[tex]c=4\sqrt{586}[/tex]
[tex]c = 96.8[/tex] units
Therefore, the length of the hypotenuse: c = 96.8 units
If p = 3sec theta and q= 3 tan^2 theta - 1, then find p-q.
Answer:
[tex]p - q = 3 \sec\theta - (3 { \tan}^{2} \theta - 1) \\ = 3 \sec \theta - 3 { \tan}^{2} \theta + 1 \\ from \: identities \: \: { \tan }^{2} \theta + 1 = { \sec }^{2} \theta \\ = 3 { \sec } \theta - 3( { \sec }^{2} \theta - 1) + 1 \\ = 3 \sec\theta - 3 { \sec}^{2} \theta + 3 + 1 \\ = - 3 { \sec }^{2} \theta + 3 \sec\theta + 4 \\ = - 3( { \sec}^{2} \theta - \sec \theta - \frac{4}{3} )[/tex]
ab - bc+ ac, bc - ca+ ab, ca - ab-2bc
Answer:
[tex]ab-2bc+ca[/tex]
Step-by-step explanation:
Complete question is given below
Add:-
ab-bc+ac,bc-ca+ab,ca-ab-2bc
We have to find the result after addition
Now, adding all expression
We get
[tex]ab-bc+ac+bc-ca+ab+ca-ab-2bc[/tex]
Combine like terms then, we get
[tex](ab+ab-ab)+(bc-bc-2bc)+(ac-ca+ca)[/tex]
[tex]ab-2bc+ca[/tex]
Hence,[tex]ab-bc+ac+bc-ca+ab+ca-ab-2bc=ab-2bc+ca[/tex]
sorry if it’s blurry
Answer:
im blind
Step-by-step explanation:
im really sorry i cant see anything
Answer:
It is A or 3.9
Step-by-step explanation:
PLEASE GIVE BRAINLIEST
its just the square route.
Sean has a beginning balance of $328.15 in his account. He writes checks for the following amounts: $20.75, $43.58,
$30.45, and $29.72. What is the new balance in Sean's account?
$14.75
$203.65
$124.50
$307.40
Answer:
The new balance in Sean's account is $203.65
Step-by-step explanation:
The initial balance in Sean's account is $328.15. Then he writes checks for the amounts $20.75, $43.58, $30.45, and $29.72.
The sum of his checks is $20.75 + $43.58 + $30.45 + $29.72 = $124.5
The new balance in Sean's account is the initial balance minus the sum of the amounts of the checks he wrote:
Final balance = $328.15 - $124.5 = $203.65
The new balance in Sean's account is $203.65
answer this pls pls pls pls pls
Answer:
1= 0.25feet per 1 second
2.= 120 seconds
3. 72 seconds or 1 minute 12 seconds
Step-by-step explanation:
1.= 2/8=1/4=.25
2.= 50-20=30
30/.25=120
3.= 18 feet/.25 feet= 72 seconds
Answer:
1= 0.25feet per 1 second
2.= 120 seconds
3. 72 seconds or 1 minute 12 seconds
Step-by-step explanation:
PLSPLSPLSPLS I NEED HELPPPPPPPP
Answer:
huh?
Step-by-step explanation:
Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answer:
7
Step-by-step explanation:
Pythagorean theorem. 24^2+b^2=25^2
Simplify
576+b^2=625
b^2=49
b=7
given: rectangle JKLM
prove: JL = MK
Answer:
(In order, top to bottom. )
Definition of a rectangle
opposite sides of a rectangle are congruent
reflexive property of congruence
SAS congruence postulate
Step-by-step explanation:
Parallelogram JKLM is a rectangle and by definition of a rectangle, ∠JML
and ∠KLM are right angles, ∠JML ≅ ∠KLM because, all right angles are
congruent, ≅ because opposite sides of a parallelogram are congruent, and ≅ by reflective property of congruence. By the SAS
congruence postulate, ΔJML ≅ ΔKLM.
congruent parts of congruent triangles are congruent, ≅
The given quadrilateral is a parallelogram, that have interior angles that are right angles, therefore, the figure has the properties of a rectangle, and
parallelograms including the length of opposite sides are equal, all right angles are congruent and equal to 90° and the length of a side is equal to itself by reflexive property, & ≅
The Side-Angle-Side SAS postulate states that if two sides and an included
angle of one triangle are congruent to the corresponding two of sides and
included angle of another triangle, the two triangles are congruent.
SOLVE FOR X
X/3 + x-1/4 = 2+X
show (or describe every step)
the x-1/4 is ONE fraction, not a variable minus 1/4.
Answer:
Step-by-step explanation:
Thank you for the note. You show what you want like this.
X/3 + (x - 1)/4 = 2+X Multiply both sides by 12.
[tex]\frac{12*x}{3} + \frac{12*(x -1)}{4} = 12(x + 2)[/tex]
Now take mini steps.
1. Divide 3 into 12
4x
2. Divide 4 into 12
3(x - 1)
========================
Here's what you have.
4x + 3(x - 1) = 12(x + 2) Remove the brackets.
4x + 3x - 3 = 12x + 24 Combine like terms
7x - 3 = 12x + 24 Subtract 7x from both sides.
- 3 = 12x - 7x +24
-3 = 5x + 24 Subtract 24 from both sides.
-27 = 5x Divide by 5
x = -5.4
NEED HELP QUICK <3
140 is what percent less than 160?
Answer:
Step-by-step explanation:
Step 1: We make the assumption that 160 is 100% since it is our output value.
Step 2: We next represent the value we seek with x.
Step 3: From step 1, it follows that 100%=160
Step 4: In the same vein, = x%=140.
Step 5: This gives us a pair of simple equations:
100%=160(1).
x%=140(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
100% / x% = 160 / 140
Step 7: Taking the inverse (or reciprocal) of both sides yields
x% / 100% = 140 / 160
x% = 87.5%
therefore, 140 is 87.5% of 160
We obtain that 140 is 12.5% percent less than 160.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, 140 is some percent less than 160 to obtain this we'll subtract (140/160)×100% from 100% which is,
= 100% - (140/160)×100%.
= 100% - 87.5%.
= 12.5%
learn more about percentages here :
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