Answer:
92
Step-by-step explanation:
We will list out the numbers which are factors of 12. They include:
1, 2, 3, 4, 6, 12.
We need to get the highest number that has its greatest factor to be 4. It means that 6 and 12 cannot divide it.
To do this, we will write out the multiples of 4. They include:
4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88,92,96.
We will have to choose the highest number which only 4 can divide and 6 and 12 cannot divide.
Since we are looking for the largest, We can try dividing all the numbers by 4, 6, and 12 starting from 96.
We will quickly see that 4 can divide 92 but 6 and 12 cannot.
This gives us 92 as the answer.
Answer:
92
Step-by-step explanation:
find P (3) if p(x)=-×^3-2x^2+7
Answer:
-38.
Step-by-step explanation:
p(x) = -x^3 - 2x^2 + 7
p(3) = -(3^3) - 2(3^2) + 7
p(3) = -27 - 2(9) + 7
p(3) = -27 - 18 + 7
p(3) = -45 + 7
p(3) = -38
Hope this helps!
Answer:
p(3) = -38
Step-by-step explanation:
p(x) = -x³ - 2x² + 7
p(3) = -3³ - 2(3)² + 7
p(3) = -27 - 2(9) + 7
p(3) = - 27 - 18 + 7
p(3) = -38
Please answer this correctly
Answer:
1/2
Step-by-step explanation:
The numbers that are 6 or even on the cards are 2, 4, and 6.
3 cards out of a total of 6 cards.
3/6 = 1/2
Answer:
1/2 chance
Step-by-step explanation:
There are 3 numbers that fit the rule, 2, 4, and 6. 3/6 chance of picking one or 1/2, simplified.
The table shown lists the atomic weight of the elements that begin with the letter c. What's the range of these
atomic weights?
Review My Answers
Save & EVE
No. Atomic Weight Name 48112411 2040078 98251000
Cadmium cd Calcium Ca Californium Cf Carbon Cerium Ce Cesium Cs Chlorine C Chromium Cr Cobalt Co Copper Cu Curium Cm
6 12.011 58140116 55132906 1735453 2451996 2758933 2963546 96 *247.00
A. 215.547
B. 238.989
C. 234.989
D. 134.589
I NEED HELP PLEASE, THANKS! :)
please see the attached picture for full solution..
Hope it helps..
Good luck on your assignment...
Determine the intercepts of the line. -5x+9y=-18−5x+9y=−18minus, 5, x, plus, 9, y, equals, minus, 18 xxx-intercept: \Big((left parenthesis ,,comma \Big))right parenthesis yyy-intercept: \Big((left parenthesis ,,comma \Big))
Answer:
(3.6, 0), (0, -2)
Step-by-step explanation:
To find the y-intercept, set x=0:
-5·0 +9y = -18
y = -18/9 = -2
To find the x-intercept, set y=0:
-5x +9·0 = -18
x = -18/-5 = 3.6
The intercepts are ...
x-intercept: 3.6
y-intercept: -2
If f(x) = 5x – 2 and g(x) = 2x + 1, find (f - g)(x).
A. 3 - 3x
B. 3x-3
C. 7x-1
D. 7x-3
Answer:
The difference of the functions is (f-g)(x) = 3x - 3
Step-by-step explanation:
In the problem, we are asked to find the difference of the two functions, f(x) and g(x). When we see (f-g)(x), this means that we are going to subtract g(x) from f(x).
f(x) = 5x - 2
g(x) = 2x + 1
(f-g)(x) = (5x - 2) - (2x + 1)
Distribute the negative to (2x + 1)
(f-g)(x) = 5x - 2 - 2x - 1
Combine like terms. Make sure your answer is in standard form.
(f-g)(x) = 3x - 3
So, the answer to the equation is (f-g)(x) = 3x - 3
please help me out asap
Answer:
SOLUTION SET={x<-3/2 or x≥48/5} option A
Step-by-step explanation:
12x+7<-11 and 5x-8≥40
solving the both inequalities
12x+7-7<-11-7 and 5x-8+8≥40+8
12x<-18 and 5x≥48
12x/12<-18/12 and 5x/5≥48/5
x<-3/2 and x≥48/5
SOLUTION SET={x<-3/2 or x≥48/5}
i hope this will help you :)
All boxes with a square base, an open top, and a volume of 220 ft cubed have a surface area given by S(x)equalsx squared plus StartFraction 880 Over x EndFraction , where x is the length of the sides of the base. Find the absolute minimum of the surface area function on the interval (0,infinity). What are the dimensions of the box with minimum surface area?
Answer:
Length of the sides of the base (x) = 7.606 ft
Height (h) = 3.802 ft
The minimum surface area is 173.55 ft²
Step-by-step explanation:
Surface area is given by:
[tex]S(x) = x^2+\frac{880}{x}[/tex]
The value of x for which the derivate of the surface area function is zero, is the length of the sides of the base that minimizes surface area:
[tex]S(x) = x^2+\frac{880}{x} \\\frac{dS(x)}{dx}=0=2x-\frac{880}{x^2}\\x^3=440\\x=7.606\ ft[/tex]
The height of the box is given by:
[tex]V=hx^2\\220 =h*7.606^2\\h=3.802\ ft[/tex]
The dimensions of the box with minimum surface area are:
Length of the sides of the base (x) = 7.606 ft
Height (h) = 3.802 ft
The absolute minimum is:
[tex]S(x) = 7.606^2+\frac{880}{7.606}\\S_{min}=173.55\ ft^2[/tex]
The minimum surface area is 173.55 ft²
Answer:
The absolute minimum of the surface area[tex]=173.55$ ft^2[/tex]
At the minimum surface area,
Base length=7.61 feetHeight of 3.8 feet.Step-by-step explanation:
Volume of the box =220 cubic feet.
[tex]\text{Surface Area, } S(x)=x^2+\dfrac{880}{x}[/tex]
To find the absolute minimum of the surface area function on the interval [tex](0,\infty)[/tex], we take the derivative of S(x) and solve for its critical points.
[tex]S(x)=\dfrac{x^3+880}{x}\\S'(x)=\dfrac{2x^3-880}{x^2}\\$Setting the derivative equal to 0\\S'(x)=\dfrac{2x^3-880}{x^2}=0\\2x^3-880=0\\2x^3=880\\$Divide both sides by 2\\x^3=440[/tex]
Take the cube root of both sides
[tex]x=\sqrt[3]{440}\\ x=7.61$ ft[/tex]
Therefore, the absolute minimum of the surface area function on the interval [tex](0,\infty)[/tex], is:
[tex]S(x)=\dfrac{7.61^3+880}{7.61}\\\\=173.55$ ft^2[/tex]
Since the volume of the box =220 cubic feet
[tex]V=x^2h\\220=7.61^2 \times h\\h=220 \div 7.61^2\\h=3.80 ft[/tex]
The dimensions of the box with the minimum surface area are base length of 7.61 feet and height of 3.8 feet.
Value of the digit 5 in 75 389
Answer:
The value of digit 5 is thousand
Step-by-step explanation:
Digit 5 has thousand value in 75 389
Rick is thinking of a positive factor of $14$ and Steve is thinking of a positive factor of $42$. If Rick and Steve are thinking of the same number, how many possible numbers could they be thinking of?
Answer:
Step-by-step explanation:
Hello,
14 = 7 * 2 * 1
42 = 7 * 3 * 2 * 1
It can be 14, 7, 2 or 1
So there are 4 different positive numbers which meet the criteria
Hope this helps
Answer
14 = 7 * 2 * 1
42 = 7 * 3 * 2 * 1
It can be 14, 7, 2 or 1
Step-by-step explanation:
x = 16 18 34 can someone explain please?
Answer:
x = 16
Step-by-step explanation:
(whole secant) x (external part) = (tangent)^2
(x+2) * 2 = 6^2
2(x+2) = 36
Divide each side by 2
x+2 = 18
Subtract 2
x+2-2 = 18-2
x = 16
Answer:
x = 16
Step-by-step explanation:
According to tangent-secant Theorem:
(Tangent)² = (External Part of the secant)(Whole Secant)
(6)² = (2)(2+x)
36 = 4+2x
Subtracting 4 from both sides
36-4 = 2x
=> 2x = 32
Dividing both sides by 2
=> x = 16Find [g ° h](x) and [h ° g](x) , if they exist. g(x)=x+6 and h(x)=3x2 YALL PLEASE I NEED HELP :((
Answer:
a) [g ° h](x) = 3x² +6
b) [h ° g](x) =3 x²+36x+108
Step-by-step explanation:
Explanation:-
a)
Given g(x) = x+6 and h(x) = 3x²
Given [g ° h](x) = g(h(x))
= g(3x²) (∵ h(x) =3x²)
= (3x²)+6 (∵ g(x) =x+6)
∴ [g ° h](x) = 3x² +6
b)
Given [h ° g](x) = h (g(x))
= h(x+6) (∵ g(x) =x+6)
= 3 (x+6)² (∵ h(x) =3x²)
= 3 (x²+2(6)x+36) (∵ (a + b)² = a²+2ab+b²)
= 3 (x²+12x+36)
= 3 x²+36x+108)
∴ [h ° g](x) =3 x²+36x+108
Find the perimeter and total area ? Use 3.14 in
Answer:
Perimeter is when you add up all of the sides, and the area is when you multiply length times width.
this circle is centered at the origin (0,0) the radius is 4, what is the equation?
Answer:
x^2 +y^2 = 16
Step-by-step explanation:
The equation of a circle is given by
(x-h) ^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x-0) ^2 + (y-0)^2 = 4^2
x^2 +y^2 = 16
write your answer without using negative exponents (u^4)^-7
Answer:
[tex] \frac{1}{ {u}^{28} } [/tex]solution,
[tex] {(u}^{4} \: )^{ - 7} \\ = {(u)}^{4 \times ( - 7)} \\ = {(u)}^{ - 28} \\ = \frac{1}{ {u}^{28} } [/tex]
Hope this helps...
Good luck on your assignment..
Need Help ASAP!!!
Which of the following is a key property of the linear parent function?
O A. It is in quadrants I and III.
B. It does not go through the origin.
C. It has a slope of zero.
O D. It is a curved line.
Answer:
The answer is:
A. It is in the quadrants I and III.
Step-by-step explanation:
I am not sure if this is correct, but I tried my best :)
I hope this helped~
Select all the correct answers.
Which three pieces of information contribute the most to your credit score?
the number of bank accounts you have
the amount of debt you have
your payment history
your ability to make a down payment on a credit purchase
the number of loans you have
W
Answer:
B) the amount of debt you have
C) your payment history
E) the number of loans you have
Step-by-step explanation:
To determine the three pieces of information that contribute the most to your credit score, we have to find the factors that affect credit score calculation.
The major factors that affect a person's credit score calculation include : Payment history:
This is the most important factor that affect your credit score. Lenders want to be sure that you have a reputation back your debt and on time when you apply for new credit.
Amount of Debt :
This is the amount of overall debt you carry. It is the ratio of your credit card balances to your credit limit. Too much debt can hurt your credit score
Credit History:
This is a borrower's track record for repaying debts and how old it is. Opening new accounts within a short time will affect your credit score.
Account Mix: having a diverse portfolio of credit accounts could tell how well you manage different credits.
Credit Inquiries:
Several applications involving inquiries into your credit check within a short duration can affect your credit score.
Therefore the three pieces of information that would contribute the most to your credit score:
B) the amount of debt you have
C) your payment history
E) the number of loans you have
Need help with this Pythagorean theorem formula. In a right triangle ,find the length not given? c=hypotenuse, a=6,b=8. use radicals as needed
Answer: c = 10
Step-by-step explanation:
Pythagorean Theorem states that in a right triangle [tex]a^2 + b^2 = c^2[/tex], where a and b are the legs of the triangle and c is the hypotenuse. Thus, because a=6 and b=8, 36+64=c². Thus 100=c². Thus 10=c
What is the explicit rule for the geometric sequence?
600, 300, 150, 75, ...
Answer:
Step-by-step explanation:
Hello, this is a geometric sequence so we are looking for a multiplicative factor.
[tex]a_0=600\\\\a_1=a_0 \cdot \boxed{\dfrac{1}{2}} = 300 = 600 \cdot \boxed{\dfrac{1}{2}}\\\\a_2=a_1 \cdot \boxed{\dfrac{1}{2}} = 150= 300 \cdot \boxed{\dfrac{1}{2}}\\\\a_3=a_2 \cdot \boxed{\dfrac{1}{2}} = 75 = 150 \cdot \boxed{\dfrac{1}{2}}[/tex]
So, the explicit formula is for n
[tex]\boxed{a_n=a_0\cdot \left(\dfrac{1}{2}\right)^n=600\cdot \left(\dfrac{1}{2}\right)^n}}[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
The explicit rule is aₙ = a₀(1/2)ⁿ = 600(1/2)ⁿ for the given geometric sequence.
What is geometric series?The geometric series defined as a series represents the sum of the terms in a finite or infinite geometric sequence. The successive terms in this series share a common ratio.
The nth term of a geometric progression is expressed as
Tₙ = arⁿ⁻¹
Where a is the first term, r is the common ratio.
We have been given that geometric sequence as:
600, 300, 150, 75, ...
To determine the explicit rule for the geometric sequence, we have to find the common ratio.
Here the first term (a₀) is 600
So the common ratio = 300/600 = 150/300 = 75/150 = 1/2
Thus, the explicit formula for n would be:
aₙ = a(1/2)ⁿ = 600(1/2)ⁿ
Therefore, the explicit rule is aₙ = a(1/2)ⁿ = 600(1/2)ⁿ for the given geometric sequence.
Learn more about the geometric series here:
brainly.com/question/21087466
#SPJ2
Carlos biked miles on Saturday and miles on Sunday. On which day did he ride further and by how much? Carlos rode further on Saturday by miles. Carlos rode further on Saturday by miles. Carlos rode further on Sunday by miles. Carlos rode further on Sunday by miles.
Answer:
He rode farther on Sunday
135/7 - 139/8 = 107/56 or 1 51/56 miles farther
Answer:D
Step-by-step explanation: I got a hundred on my test.
Use the addition method to solve the system of linear equations for x. (Enter an exact number.)
3x - 2y = 8
2x + y = 3
Answer:
work is shown and pictured
Two functions are graphed on the coordinate plane.
Which represents where f(x) = g(x)?
10
ger
8
f(4) = g(4) and f(0) = g(0)
f(-4) = g(4) and f(0) = g(0)
f(4) = 9(-2) and f(4) = g(4)
f(0) = g(4) and f(4) = g(-2)
6
to 54 -3 -2 -12
1 2 3 4 5 6 X
o)
-8
-124
Answer:
f(4) = g(4) and f(0) = g(0)
Step-by-step explanation:
In order for f(x) = g(x), the value of x must be the same in both functions:
f(4) = g(4) . . . corresponds to x=4
f(0) = g(0) . . . corresponds to x=0
The graph is not shown here, so we cannot say if these are the appropriate solutions. We can only say that the other choices are not.
f(x) = g(x) if ...
f(4) = g(4) and f(0) = g(0)
__
Something like f(0) = g(4) is useless for finding solutions to f(x) = g(x).
The function h(x)=12/x-1 is one to one. Algebraically find it’s inverse, h^-1(x).
Answer:
Step-by-step explanation:
hello,
I assume that you mean
[tex]h(x)=\dfrac{12}{x-1}[/tex]
so first of all let's take x real different from 1 , as this is not allowed to divide by 0
[tex](hoh^{-1})(x)=x=h(h^{-1}(x))=\dfrac{12}{h^{-1}(x)-1} \ \ \ so\\h^{-1}(x)-1=\dfrac{12}{x} \\\\h^{-1}(x)=1+\dfrac{12}{x}[/tex]
and this is defined for x real different from 0
hope this helps
A three-person jury has two members who each have a probability p of making the correct decision in a case. The third member doesnt care and flips a coin for each decision. The ruling is based on a majority vote amongst the jurors
(a) What is the probability that the jury will correctly decide the case?
(b) Suppose two of the jurors quit, one of whom is the juror that doesnt care. Does the rrectly deciding the case i ncrease, decrease, or no at all?
Answer:
(a) p
(b) the probability does not change at all
Step-by-step explanation:
(a) Let A and B be the jurors with probability 'p' of making the correct decision, and C be the juror that doesn't care. The case will be correctly decided if any of the following combinations of jurors decide the case correctly:
AB, AC, BC, ABC.
The probability of one of those outcomes occurring is:
[tex]P=(p*p*0.5)+(p*(1-p)*0.5)+(p*(1-p)*0.5)+(p*p*0.5)\\P=p^2+p-p^2\\P=p[/tex]
The probability is p.
(b) If two of the juros quit, the probability of correctly deciding the case lies on just one juror that correctly decides with probability 'p'. Therefore, the probability of deciding the case does not change at all
-4(-11+4n)-3(-2n+9) simplify to create an equivalent expression
chose 1 answer
-10n-35, -18n+17, -10n-17, or -10n+17
Answer:
the last one is correct
Step-by-step explanation:
hello,
-4(-11+4n)-3(-2n+9) = 44 - 16n + 6n - 27 = -10n + 17
hope this helps
Which statement best interprets the factor (r+7) in this context?
Answer:
the height of the cylinder is 7 units greater than the radius
Step-by-step explanation:
When you match the forms of the equations ...
[tex]V=\pi r^2(r+7)\\V=\pi r^2h[/tex]
you see that the factor (r+7) corresponds to the height (h) of the cylinder. That is ...
the height of the cylinder is 7 units greater than the radius.
A civil engineer is mapping the overhead clearance of his family’s property on a coordinate grid. The ground is represented by the x-axis and the base of the house is at the origin. There are two trees on the property. One tree is 8 feet from the base of the house and is 14 feet tall. The other tree is 16 feet from the base of the house and is 9 feet tall. What is the distance from the base of the house to the closest treetop? Round your answer to the nearest tenth.
Answer:
15.81
Step-by-step explanation:
Sorry for the delay
Gregoire sold 24 cars to his friend for $71.76. What was the price per car?
a. $47.76
b. $2.99
c. $17.22
d. $3.25
Answer:
2.99
Step-by-step explanation:
Take the total cost and divide by the number of cards
71.76/24 = 2.99
The cost per car is 2.99
Answer:
b. $2.99.
Step-by-step explanation:
To get the price per car, you get the total price divided by the total number of cars.
That would be 71.26 / 24 = 2.969166667, which is most close to b. $2.99. Those are some cheap cars!
Hope this helps!
Please answer this correctly
Answer:
3/4
Step-by-step explanation:
The numbers odd or less than 3 are 2, 3, and 5.
3 numbers out of 4.
P(odd or less than 3) = 3/4
If a person invests $190 at 8% annual interest, find the approximate value of the investment at the end of 10 years.
Answer:
$420
Step-by-step explanation:
This the problem of compound interest
If any amount P is invested at rate of r% per year then its value after n years is given by
amount = [tex]p( 1+ r/100)^n[/tex]
______________________________
Given
p = $190
r =8%
n = 10 year then
[tex]amount = p( 1+ r/100)^n\\=> amount = 190( 1+ 8/100)^10\\=> amount = 190( 108/100)^10\\=> amount = 410.20[/tex]
Thus, value of the investment at the end of 10 years is $420.
Answer: 342
Step-by-step explanation:
This is a SIMPLE INTEREST question:
SI = prt
SI = 190 x 0.08 x 10
SI = 152
Amount = 190 + 152 = 342