Find maximum points y=11^(6x-x²) solve using derivative

Answer:

17 nickels

Step-by-step explanation:

To be able to find the answer, you can say that the sum of the value of each coin multiply for its quantity is equal to 10.08, which you can express as follows:

quarters= 0.25

dimes= 0.10

nickels= 0.05

pennies= 0.01

(0.25*19)+(0.10*39)+(0.05*x)+(0.01*58)=10.08, where

x= the quantity of nickels

Now, you can solve for x:

4.75+3.9+0.05x+0.58=10.08

0.05x=10.08-4.75-3.9-0.58

0.05x=0.85

x=0.85/0.05

x=17

According to this, the answer is that there are 17 nickels in the cup holder.

Answer:

C. Scalene

F. Obtuse

Step-by-step explanation:

The triangle is scalene because all 3 sides are different lengths.

The triangle is obtuse because 1 angle is bigger than 90° (132°).

Answer:

scalene

obtuse

Step-by-step explanation:

All the sides are different length, so it is a scalene triangle

The 132 degree angle is greater than 90 degrees and less than 180 so it is obtuse

Answer:

[tex] h = \dfrac{S}{2 \pi r} - r [/tex]

Step-by-step explanation:

[tex] S = 2 \pi rh + 2 \pi r^2 [/tex]

[tex] 2 \pi rh + 2 \pi r^2 = S [/tex]

[tex] 2 \pi rh = S - 2 \pi r^2 [/tex]

[tex] h = \dfrac{S}{2 \pi r} - \dfrac{2 \pi r^2}{2 \pi r} [/tex]

[tex] h = \dfrac{S}{2 \pi r} - r [/tex]

Answer: the monthly​ payment is $192

Step-by-step explanation:

The cost of the new home entertainment system is $14230.

If the down payment is ​$2300, then the balance to be paid would be

14230 - 2300 = $11930

We would apply the periodic interest rate formula which is expressed as

P = a/[{(1+r)^n]-1}/{r(1+r)^n}]

Where

P represents the monthly payments.

a represents the amount of the balance

r represents the annual rate.

n represents number of monthly payments. Therefore

a = $11930

r = 0.05/12 = 0.0042

n = 72 months

Therefore,

P = 11930/[{(1+0.0042)^72]-1}/{0.0042(1 + 0.0042)^72}]

11930/[{(1.0042)^72]-1}/{0.0042(1.0042)^72}]

P = 11930/{1.352 -1}/[0.0042(1.352)]

P = 11930/(0.353/0.0056784)

P = 11930/62.125

P = $192

Answer:

120

Step-by-step explanation:

We can do 90*(100/60) to figure out which number is 90 when it is only 60 percent.  This means the original number was 150.  Now we just do 150/5 which equals 30.  Then we can multiply 30*4 = 120.

Answer:

120

Step-by-step explanation:

60% of a number is 90.

Let the number be x.

60% of x = 90

0.6x = 90

x = 90/0.6

x = 150

The number is 150.

4/5 of 150 =

= 4/5 * 150

= 120

Answer:

(4y7+7x4)(−4y7+7x4)

Step by Step:

Factor 49x8−16y14

−16y14+49x8

=(4y7+7x4)(−4y7+7x4)

The factor of the expression 49x⁸ − 16y¹⁴ is (7x⁴ - 4y⁷) and (7x⁴ + 4y⁷) after using the identity.

It is defined as the combination of constants and variables with mathematical operators.

It is given that:

49x⁸ − 16y¹⁴

As we know the polynomial identity:

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

a² - b² = (a - b)(a + b)

The expression 49x⁸ − 16y¹⁴ can be written as:

= (7x⁴)² − (4y⁷)²

After using the identity: a² - b² = (a - b)(a + b)

= (7x⁴ - 4y⁷)(7x⁴ + 4y⁷)

Thus, the factor of the expression 49x⁸ − 16y¹⁴ is (7x⁴ - 4y⁷) and (7x⁴ + 4y⁷) after using the identity.

Learn more about the expression here:

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Answer: 4:3.

Step-by-step explanation:

Given: Point P is [tex]\dfrac{4}{7}[/tex] of the distance from M to N.

To find: The ratio in which the point P partition the directed line segment from M to N.

If Point P is between points M and N, then the ratio can be written as

[tex]\dfrac{MP}{MN}=\dfrac{MP}{MP+PN}[/tex]

As per given,

[tex]\dfrac{MP}{MP+PN}=\dfrac{4}{7}\\\\\Rightarrow\ \dfrac{MP+PN}{MP}=\dfrac{7}{4}\\\\\Rightarrow\ \dfrac{MP}{MP}+\dfrac{PN}{MP}=\dfrac{7}{4}\\\\\Rightarrow\ -1+\dfrac{PN}{MP}=\dfrac{7}{4}\\\\\Rightarrow\ \dfrac{PN}{MP}=\dfrac{7}{4}-1=\dfrac{7-4}{4}=\dfrac{3}{4}\\\\\Rightarrow\ \dfrac{PN}{MP}=\dfrac{3}{4}\ \ \or\ \dfrac{MP}{PN}=\dfrac{4}{3}[/tex]

Hence, P partition the directed line segment from M to N in 4:3.

Answer:

12 ??

Step-by-step explanation:

Answer:

12 cubic units

Step-by-step explanation:

1. Multiply 4 and 3

Answer:

Y= 8*x

Step-by-step explanation:

You can notice that the graph is a straight line that crosses the origin so it's a graph that has an equation written this way : y= a*x

a is the slope

You can easily find it by notice that the image of 1 is 8

So a = 8

Then y= 8*x

Answer:

[tex]y=8x[/tex]

Step-by-step explanation:

Well drawing the line further then we can tell the y intercept is 0.

So we have to find the SLOPE using the following formula

[tex]\frac{y^2-y^1}{x^2-x^1}[/tex]

So we need two points on the line, we can use the following

(1,8) and (2,16)

So 16 is y2 and 8 is y1 so 16-8 is 8.

2-1 is 1.

So the slope is 8x.

Do the equation is [tex]y=8x[/tex]

We don’t have to put the y intercept because it is 0.

Answer:

Slope =  [tex]\frac{-3}{4}[/tex]

Step-by-step explanation:

(5 , -2)   ; (-3, 4)

[tex]Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{4-[-2]}{-3-5}\\\\=\frac{4+2}{-3-5}\\\\=\frac{6}{-8}\\\\=\frac{-3}{4}\\\\[/tex]

Answer: 0.9961

Step-by-step explanation:

Given: Total choices to each question = 4

So, the probability that an answer is correct = [tex]\dfrac{1}{4}=0.25[/tex]

Total questions = 20

i.e. n= 20

Let x be the binomial variable that represents the number of correct answers.

So, the probability that the student has at least 10 correct answers.

[tex]B(x=10;n=20, p=0.25)=\sum\limits_{i=0}^{x}(i;n=20,p=0.25)[/tex]

[tex]=0.9961[/tex]  [By using cumulative binomial table]

Hence, the probability that the student has at least 10 correct answers = 0.9961

Answer: greaterright

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) 500,000+300,000+150000+80000+0.02x+0.03x+0.08x=1030000+0.13x

b)1030000*(0.13*200)=26780000

there are two different power : power and exponent

exponent :    5⋅5⋅5=5^3

power 4^2 it is read as 4 to the second power or 4 squared 4 ∙ 4

"Like terms" are terms whose variables are the same example : x,7x,2x tey all have the same variable x

i hope it helps

Answer:

-2x⁴+4x³+10x²+8x-4

Step-by-step explanation:

Standard form for a polynomial is from highest power to lowest power

4x³-2x⁴+8x+10x²-4

-2x⁴+4x³+10x²+8x-4

Step-by-step explanation:

Answer:

the letter in the green box should be 3.

i believe the full equation should be y= -3/2 x+1

Step-by-step explanation:

the y side keeps decreasing by 1 1/2 which in improper fraction form is -3/2. the x side keeps increasing by 1.

Answer:

Hey there!

Eight years ago, Manuel's age was 36/2, or 18.

Now, his age is 18+8, or 26 years old.

So, he is 26 years old now.

Hope this helps :)

Answer:

(2, -2) are the coordinates of the point which divides BA into ration 2:4.

Step-by-step explanation:

The given two co-ordinates of A are (-2, 6) and B is (4, -6).

Let P be the point that divides the line BA into ratio 2:4.

to find coordinates of a point P on the line segment BA dividing it in a ratio 2:4, we can use segment formula.

[tex]x = \dfrac{mx_{2}+nx_{1}}{m+n}\\y = \dfrac{my_{2}+ny_{1}}{m+n}[/tex]

Where (x,y) is the co-ordinate of the point P which  

divides the line segment joining the points [tex](x_{1}, y_{1}) and (x_{2}, y_{2})[/tex] in the ratio m:n.

Please refer to the attached image.

As per the given values :

[tex]x_{1} = 4\\x_{2} = -2\\y_{1} = -6\\y_{2} = 6\\[/tex]

Putting the given values in above formula :

x-co-ordinate of P:

[tex]x = \dfrac{4 \times 4 -2 \times 2}{4+2}\\\Rightarrow \dfrac{12}{6}\\\Rightarrow x = 2[/tex]

y-co-ordinate of P :

[tex]y = \dfrac{4 \times -6 +2 \times 6}{4+2}\\\Rightarrow \dfrac{-24+12}{6}\\\Rightarrow \dfrac{-12}{6}\\\Rightarrow y = -2[/tex]

So, answer is P(2, -2).

Answer:

a. [tex] 4*10^{-5} [/tex]

b. [tex] 5*10^{-5} [/tex]

c. [tex] 6*10^{-6} [/tex]

d. [tex] 8*10^{-10} [/tex]

Step-by-step explanation:

To write the above given numbers in standard form, all you need to do is count how many places you have to move the decimal point till you get to a non-zero digit. The number of places you move the decimal point to the right would determine the value of the negative power you would raise to 10.

a. 0.00004:

To place our decimal point after the first non-zero digit in this number given, we would have to move the decimal point to 5 places. The digit 4, would now be multiples by 10 raised to the negative power of 4.

The standard form would be: [tex] 4*10^{-5} [/tex].

Now let's check if we're correct.

[tex] 4*10^{-1} = 4*\frac{1}{10^5} = 4*\frac{1}{100,000} = 4*0.00001 = 0.00004 [/tex]

Follow same procedure as shown above to  write the rest numbers in standard form.

You should have the following as their standard form:

b. [tex] 0.00005 = 5*10^{-5} [/tex]

c. [tex] 0.000006 = 6*10^{-6} [/tex]

d. [tex] 0.0000000006 = 8*10^{-10} [/tex]

Answer:

Zero product rule

Step-by-step explanation:

According to this rule, any number multiplied by 0 = 0, because you have no lots of something. Hope this helps.

NOTE: for this law to be applicable, the whole equation only needs on zero(alone and not as a place in a larger integer)

Answer:

A.

Step-by-step explanation:

makes since

Answer:

[tex]xlog 5 = logq - log y\\[/tex]

Step-by-step explanation:

Given the equation [tex]y = \frac{q}{5^{x} }[/tex], to convert to linear form, the following steps must be followed;

[tex]5^{x} = \frac{q}{y}\\ y5^{x} = q\\taking\ the\ log\ of\ both\ sides\\log(y5^{x}) = log q\\logy + log 5^{x} = log q\\log y + xlog5 = log q\\xlog 5 = logq - log y\\[/tex]

The final expression is a linear form of the expression

Answer:

See Attached Image, Explanation in order to understand how to calculate is below.

Step-by-step explanation:

The Jar Contains 20 Coins.

The probability that it is a 1p coin is 1/5

The probability that it is a 2p coin is 1/2

The total value of the coins in the jar is 59 pence.

The Section in bold is vitally important in this question.

We know we have 4 combinations of 1p, 2p , 5p & 10p in order to make 59p, and only have 20 coins to make it.

--------------------------------------------------------------------------------------------------------------

Calculate 1p:

1/5 of 20 = 4

We know the answer is 4 as we have 20 coins, you find 1/5 of 20.

Calculate 2p:

1/2 of 20 = 10

We know the answer is 10 as we have 20 coins, you find 1/2 of 20.

10 (2p Coins) + 4 (1p coins) = 14

20 coins - 14 (2p & 1p coins) = 6.

Now we only have 6 remaining coins for both 5p and 10p.

Calculate 5p:

We know we currently have a total of 24p if we subtract that from 59 we are left with 35.

So we can work establish here that we are not going to need many 10p's. As we only have 6 coins left!.  

5x5 = 25p.

Therefore you need 5, 5p's

Calculate 10p:

With 1 pence left out of the 20, we need 1 10p.

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Hope this helps, mark as brainilest if found useful.

There are 1 10p coin of each type in the jar.

Given that ;

The Jar Contains 20 Coins.

Probability that it is a 1p coin is 1/5

Probability that it is a 2p coin is 1/2

The total value of the coins in the jar is 59 pence.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

We know we have 4 combinations of 1p, 2p , 5p & 10p. so to make 59p, and only have 20 coins to make it.

Calculate 1p:

1/5 of 20 = 4

The answer is 4 as we have 20 coins, find 1/5 of 20.

Calculate 2p:

1/2 of 20 = 10

The answer is 10 as we have 20 coins, you find 1/2 of 20.

10 (2p Coins) + 4 (1p coins) = 14

20 coins - 14 (2p & 1p coins) = 6.

Now we only have 6 remaining coins for both 5p and 10p.

Now Calculate 5p:

We know that we have a total of 24p if we subtract that from 59 we are left with 35

5x5 = 25p.

Therefore we need 5, 5p's

Now Calculate 10p:

With 1 pence left out of the 20, we need 1 10p.

Learn more about probability here;

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Answer:

f(x) = 2(x+3)^4

Step-by-step explanation:

I graphed the functions on the graph below so you can see how I got my answer.

Answer:

g(x)=2x^4+3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Angle QRS is an inscribed angle. The rule is that an inscribed angle is half the measure of the arc it cuts off; in other words, the measure of the arc is double the measure of its inscribed angle. If the angle is 84, then the arc is

84(2) = 168.

Answer:

y = - 9.1768x2 + 122.2567x + 14.9091

Step-by-step explanation:

Given the following :

Month (x) Daily Rental Price (y) 1 $154 2 $205 3 $266 4 $358 5 $403 6 $425 7 $437 8 $430 9 $381 10 $285 11 $211 12 $195

Using the online regression equation graphing tool ; The quadratic model obtained in the form,

y = Ax^2 + Bx + C is :

y = - 9.1768x2 + 122.2567x + 14.9091

Attached below is a picture of the quadratic regression curve.

Question

An octagon has a side length of 15 feet and an area of 1089.6 ft²

Find the area of a smaller octagon that has a side length of 7 feet.

Answer:

237.3ft²

Step-by-step explanation:

We are given two octagons in the above question.

Side length of larger octagon = 15 ft

Area of larger octagon = 1089.6 ft²

The area of a smaller octagon = X

Side length of smaller octagon = 7 ft.

We solve for this using scale factor

Scale factor(k) = ratio of the side length of the octagon = smaller side length/ larger side length

k = 7/15

It is important to note that

The square of the scale factor k = ratio of the areas of the octagon

Hence,

k² = X/1089.6 ft²

(7/15)² = X/1089.6 ft²

7²/15² = X/1089.6 ft²

Cross Multiply

15² × X = 7² × 1089.6ft²

X = 7² × 1089.6ft²/15²

X = 237.29066667ft²

Approximately, the area of the smaller octagon = 237.3ft²

Answer: x = 12

Step-by-step explanation:

We can see two triangles rectangles, we will use the angle S to solve this, as this angle is common to both triangles.

We know that:

cos(S) = adj cathetus/hipotenuse.

Then we have, for the triangle SRT.

Cos(S) = 9/SR.

for the big triangle, SQR, we have:

Cos(S) = SR/(9 + 16)

now we can find the quotient of those two equations and get:

cos(S)/cos(S) = 9/Sr*(9+16)/SR

SR^2 = 9*(25)

SR =  15.

Now with this side we can find the value of x.

We can use the Pythagorean theorem in the triangle SRT, where the sum of the squared cathetus is equal to the hypotenuse:

9^2 + x^2 = 15^2

x = √(15^2  - 9^2) = 12

Answer:

i think the answer is A

Step-by-step explanation:

Answer: c

Step-by-step explanation:

A direct proportion has a formula that is written this way: y=kx

what does that mean ?

There is an image at the end to make you understand .

a direct proportion is a straight line that must go from the origin . why?

Answer:

Hello There!

`~~~~~~~~~~~~~~~~~~~~`

Rational number of  0. 515115111 : 0.515

Irrational number of 0.535335333 : 0.51626226222622226222226

Hope this helped you. Brainlies would be nice!

~~~~~~~~~~~~~~~~~~~~~