URGENT!!! Write the product as a sum or difference.
18cos(29x)cos(17x)
Select the correct answer below:


9sin(46x)+9sin(12x)

9sin(46x)−9sin(12x)

9cos(46x)+9cos(12x)

9cos(46x)−9cos(12x)

9cos(46x)+9sin(12x)

9sin(46x)−9cos(12x)

Final answer:

The sum of the functions [tex]F(x) = 2^x + 5x[/tex] and g(x) = 3x - 5 is [tex](f+g)(x) = 2^x + 8x - 5[/tex], which is obtained by adding the corresponding elements of each function and combining like terms.

Explanation:

The question asks for the sum of two functions, F(x) and g(x). In mathematical terms, (f+g)(x) means we have to add the functions F(x) and g(x) together. This is done by adding the corresponding elements of each function.

Here are the given functions:

F(x) = 2x + 5x

g(x) = 3x - 5

To find (f+g)(x), we combine them like this:

(f+g)(x) = F(x) + g(x) = (2x + 5x) + (3x - 5)

Now, we simply combine like terms:

(f+g)(x) = 2x + 5x + 3x - 5

(f+g)(x) = 2x + 8x - 5

This is the simplified form of the sum of the functions F(x) and g(x).

Final answer:

To find (f+g)(x) where f(x)=2ˣ + 5x and g(x)=3x-5, you simply add the functions together to get (f+g)(x) = 2ˣ + 8x - 5.

Explanation:

The student has asked to find (f+g)(x) where f(x) = 2ˣ + 5x and g(x) = 3x - 5.

To find (f+g)(x), we add the two functions together:

So, (f+g)(x) is:

(f+g)(x) = (2ˣ + 5x) + (3x - 5)

Combine like terms:

(f+g)(x) = 2ˣ + 5x + 3x - 5

(f+g)(x) = 2ˣ + 8x - 5

That is the simplified form of the function (f+g)(x).

Answer:

4 units

Step-by-step explanation:

X coordinate never changed so you just need to subtract 2 from 8 to see the unit difference.

The distance between the two points (-6, 2) and (-6, 8) on a coordinate plane is 6 units, as they share the same x-coordinate, and the distance can be found by the absolute value of the difference in y-coordinates.

The distance between two points on a coordinate plane can be determined by finding the absolute difference between their x-coordinates if they share the same x-coordinates or their y-coordinates if they share the same y-coordinates. Since the points (-6, 2) and (-6, 8) share the same x-coordinate, we can subtract the y-coordinates to find the distance:

Distance = |y2 - y1|
= |8 - 2|
= |6|
= 6 units

Therefore, the distance between the two points located at (-6, 2) and (-6, 8) on a coordinate plane is 6 units.

Answer:

yes

Step-by-step explanation:

Nina earns $2.00 for each Enjoy the Citybook she sells. = 2x

the word each gives a clue to multiplication

Each time she sells a book she also gets a five-dollar tip = +5

each refers to the sentence before and gets gives a clue to addition.

so, y=2x+5 is correct

plz give brainliestttt

Answer:

18

Step-by-step explanation:

Yur Welcome

The answer to the question [tex]\( \frac{12}{2/3} \) is \( 18 \).[/tex]

To solve the expression [tex]\( \frac{12}{2/3} \)[/tex], need to divide 12 by [tex]\( \frac{2}{3} \).[/tex] Dividing by a fraction is the same as multiplying by its reciprocal. Therefore, we can rewrite the expression as:

[tex]\[ 12 \times \frac{3}{2} \][/tex]

Now, multiply 12 by \( \frac{3}{2} \):

[tex]\[ 12 \times \frac{3}{2} = \frac{12 \times 3}{2} \][/tex]

[tex]\[ \frac{12 \times 3}{2} = \frac{36}{2} \][/tex]

Finally, divide 36 by 2 to get the result:

[tex]\[ \frac{36}{2} = 18 \][/tex]

So, [tex]\( \frac{12}{2/3} = 18 \)[/tex]. This is the value you would use if this calculation appears on your module exam.

Answer:

Step-by-step explanation:

[tex]-x=2-3x+6\qquad\text{add}\ 3x\ \text{to both sides}\\\\-x+3x=8-3x+3x\\\\2x=8\qquad\text{divide both sides by 2}\\\\\dfrac{2x}{2}=\dfrac{8}{2}\\\\x=4[/tex]

Answer:

Step-by-step explanation:

Originally, there were only five bacterial cells. After one month, the amount of bacteria is doubled with ten bacteria. The growth is represented by the formula:

a42 = 5 x 2^1

After 42 months, the growth can be solved using this formula:

a42 = 5 x 2^42 just so you know my cuz help me shes good in this

Answer:

[tex]N=2.1990232556 \times 10^{13}[/tex]

Step-by-step explanation:

Given : Brett has been studying a type of bacteria that doubles every month. Originally, there were 5 bacterial cells.

To Find: He wants to know how many there will be after 42 months?

Solution:

Since we are given that initially there were 5 bacterial cells.

Bacteria doubles every month

Let n denotes the number of months .

Function becomes : [tex]N=N_0(2)^n[/tex]

[tex]N_0[/tex] = initial amount

N = amount after n months

So, [tex]N=5(2)^n[/tex]

Substitute n = 42

[tex]N=5(2)^{42}[/tex]

[tex]N=2.1990232556 \times 10^{13}[/tex]

Thus there will be [tex]2.1990232556 \times 10^{13}[/tex] bacteria after 42 months.

Answer:

so a sub n=2.3+(n-1)0.3

That's in an arithmetic sequence

Answer:

Option C is the answer.

Step-by-step explanation:

Given arithmetic series is 2.3 + 2.6 +2.9 + ......... 5 terms

Since this series is an arithmetic series so explicit formula of series will be [tex]\sum_{n=1}^{n}[a+(n-1)d][/tex] where a is the first term, d is the common difference and n is the number of term.

Therefore, we replace the values a = 2.3, and d = (2.6 - 2.3) = (0.3)

expression will be [tex]\sum_{n=1}^{n}[2.3+(n-1)(0.3)][/tex]

[tex]\sum_{n=1}^{n}[2.3+(0.3)n-0.3][/tex]

[tex]\sum_{n=1}^{n}[2+(0.3)n][/tex]

Option C is the answer.

Answer:

244.56

Step-by-step explanation:

Alice starts with x amount of money, and then spends 41.52 of it. This means that x-41.52 is equal to the amount of money Alice has left because spending 41.52 means that it is subtracted from the bank account. Thus, x-41.52=203.04 .

Using the additive property of equality, we can add 41.52 to both sides, resulting in x=244.56

(12/7, 9/7)

Since y = -x + 3, substitute it into the first equation.

-x + 3 = 5/2x - 3

Now add x and subtract 3 from both sides.

0 = 7/2x - 6

Now add 6 on both sides.

6 = 7/2x

Now divide by 7/2 on both sides.

12/7 = x

Now, just substitute x into the second equation.

y = -12/7 + 3

y = -12/7 + 21/7

y = 9/7

Please consider marking this answer as Brainliest to help me advance.

Answer:  A. $3

Step-by-step explanation:

Price: $ 60.00

Sales Tax (5%): $ 3.00

Total: $ 63.00

OR, an easier way to do it is:

60 × 0.05 = 3

* Hopefully this helps:)!!!Mark me the brainliest:)!!

∞ 234483279c20∞

Answer:

The Answer is $3

Step-by-step explanation:

5% of 60= $3

1) Step I

5%=0.05

2) there asking for the amount of the tax So its 5%of 60

Which is solve like This

0.05 x 60 = 3

Hopes this helps you!

Answer:

120

Step-by-step explanation:

! means 3*2*1

so 6*1=6*5*4*3*2*1

6=720

720/6=120

factorial of n is given as

n! = n × (n-1) × (n-2)× . . . . . × 1

so lets solve it

6! = 6 × (6-1) × (6-2) × ( 6-3)×(6-4)×(6-5)

= 6×5×4×3×2×1

=720

similarly

3! = 3×2×1 =6

2!= 2×1= 2

3! × 2! = 6×2= 12

Answer:

2x + 3y = 20

Step-by-step explanation:

Slope of the line is -2/3 .  We can use any of the given points to find the equation of the line. Lets use (1, 6)

The general point-slope form of a line is:

[tex]y-y_{1} =m(x-x_{1} )[/tex]

Here m is the slope which is -2/3

x1 and y1 are the coordinates of the point. So x1 = 1 and y1 = 6

Using these values, we get:

[tex]y-6=-\frac{2}{3} (x-1)\\\\ 3(y-6)=-2(x-1)\\\\ 3y-18=-2x+2\\\\ 2x+3y=20[/tex]

Answer:

2x + 3y = 20

Step-by-step explanation:

We are given two points: (–2, 8) and (1, 6) and the slope (m) of the line and we are to find the equation of this line.

We know that the standard equation of a line is:

[tex]y=mx+c[/tex]

So we will plug in the given values in the above equation to find the y intercept.

[tex]6=-\frac{2}{3} (1)+c[/tex]

[tex]c=\frac{20}{3}[/tex]

So the equation of this line will be:

[tex]y=-\frac{2}{3} x+\frac{20}{3}[/tex]

or

2x + 3y = 20

➷ (7x - 4)(8x + 5) ==> 56x^2 + 35x - 32x - 20

This can be simplified to 56x^2 + 3x - 20

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

The product of the polynomials 7x - 4 and 8x + 5 is 56x^2 + 3x - 20, attained by applying the FOIL method.

The given question asks to find the

product

of two polynomials: 7x - 4 and 8x + 5. The product of two polynomials can be found using the distributive property, also known as the FOIL (First, Outer, Inner, Last) method. So, start by multiplying the first terms of each polynomial: 7x * 8x = 56x^2. Then, multiply the outer terms: 7x * 5 = 35x. Next, the inner terms: -4 * 8x = -32x. And finally, the last term: -4 * 5 = -20. Summing all these gives the final answer: 56x^2 + 3x - 20.

https://brainly.com/question/20121808

#SPJ3

Answer:

A)7

B)14

C)20

D)18

Step-by-step explanation:

For example 2/5 of 80

2/5 x 80/1 =32 Cross cancel

Answer:

[tex]\frac{1}{2}(\frac{1}{4}^x)[/tex]

Step-by-step explanation:

To find the function, compare the y values. Notice that each y value decreases by being divided by 4. This means the base of the exponential is 1/4.

To find the initial value, consider the point (0,0.5). When 1/4 is raised to the 0 power, the value is 1. This leaves that the initial value is 1/2 since 1/2*1 = 0.5.

The function is [tex]\frac{1}{2}(\frac{1}{4}^x)[/tex].

Answer:

The required function is [tex]f(x)=\frac{1}{2}\left(\frac{1}{4}\right)^x[/tex].

Step-by-step explanation:

The general exponential function is

[tex]f(x)=ab^x[/tex]           .... (1)

where, a is the initial value and b is growth factor.

From the given table it is clear that the function passes through the points (0,0.5) and (-1,2). It means the equation of function must be satisfied by the points (0,0.5) and (-1,2).

Substitute f(x)=0.5 and x=0 in equation (1), to find the value of a.

[tex]0.5=ab^0[/tex]

[tex]0.5=a[/tex]

The value of a is 0.5.

Substitute a=0.5, f(x)=2 and x=-1 in equation (1), to find the value of b.

[tex]2=(0.5)b^(-1)[/tex]

[tex]2=\frac{0.5}{b}[/tex]

[tex]2b=0.5[/tex]

Divide both sides by 2.

[tex]b=\frac{0.5}{2}[/tex]

[tex]b=0.25[/tex]

The value of b is 0.25.

Substitute a=0.5 and b=0.25 in equation (1).

[tex]f(x)=0.5(0.25)^x[/tex]

[tex]f(x)=\frac{1}{2}(\frac{1}{4})^x[/tex]

Therefore the required function is [tex]f(x)=\frac{1}{2}\left(\frac{1}{4}\right)^x[/tex].

Answer:

uh

Step-by-step explanation:

uh

Answer:

The distance between all the points is 62 when u add the distances of them together.

Step-by-step explanation:

Answer:

chemical heat and mechanical in that order

Step-by-step explanation:

Answer: Chemical - Heat - Mechanical.

Step-by-step explanation:

An internal combustion engine, such as a gasoline engine, converts the chemical energy in fuel to the propulsive energy that moves a car. When gasoline combusts, heat energy is produced and converted to mechanical energy that allows a car to move.

While light energy is also produced along with heat energy during the conversion of chemical energy to mechanical energy, the light energy does not have any effect on the movement of the car.

Answer:

Im not sure about the other 2 but the last box is 12, the answer above is incorrect for PLATO. I just took the test.

The y-intercept of line AB is 0, and the equation of line CD is y = 5.

The y-intercept of a line is the point where it intersects the y-axis. In this case, we are given the coordinates of point A as (8, 0). Since the y-coordinate of point A is 0, the y-intercept of line AB is 0.

The equation of a line can be determined using the slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept. The slope of line CD can be found by finding the difference in y-coordinates divided by the difference in x-coordinates between points C and D. In this case, the slope is (5 - 5) / (5 - 5) = 0. Therefore, the equation of line CD is y = 0x + b, where b is the y-intercept. Since point D has coordinates (5, 5), the y-intercept is 5. Therefore, the equation of line CD is y = 0x + 5, or simply y = 5.

Answer:

7.1

Step-by-step explanation:

Exponential Functions:

y=ab^x

y=ab  

x

a=\text{starting value = }570

a=starting value = 570

r=\text{rate = }26.9\% = 0.269

r=rate = 26.9%=0.269

\text{Exponential Decay:}

Exponential Decay:

b=1-r=1-0.269=0.731

b=1−r=1−0.269=0.731

\text{Write Exponential Function:}

Write Exponential Function:

y=570(0.731)^x

y=570(0.731)  

x

Put it all together

\text{Plug in time for x:}

Plug in time for x:

y=570(0.731)^{14}

y=570(0.731)  

14

y= 7.091174

y=7.091174

Evaluate

y\approx 7.1

y≈7.1

round

To calculate the remaining amount of an element undergoing exponential decay, use the formula A = A0 * (1 - r)^t, where A is the remaining amount, A0 is the initial amount, r is the decay rate per minute, and t is the time in minutes. In this case, approximately 12.3 grams of the element is remaining after 14 minutes.

To calculate the amount of the element remaining after 14 minutes, we need to use the formula for exponential decay, which is A = A0 * (1 - r)t, where A is the remaining amount, A0 is the initial amount, r is the decay rate per minute (in decimal form), and t is the time in minutes.

In this case, the initial amount is 570 grams, the decay rate is 26.9% or 0.269 per minute, and the time is 14 minutes.

Plugging these values into the formula, we get:

A = 570 * (1 - 0.269)14 = 570 * (0.731)14 = 570 * 0.0221 = 12.27 grams.

Therefore, approximately 12.3 grams of the element is remaining after 14 minutes.

https://brainly.com/question/12900684

#SPJ3

Answer:

3.60

Step-by-step explanation

you need to turn it to 100 then move the decimal 2 places to the left

Answer:

A. 3.6

Step-by-step explanation:

ANSWER

C. If it is not night, then the street lights will not come on.

EXPLANATION

The given statement is

"If it is night, then the street lights will come on"

Given the statement,

"If p, then q",

then the inverse of this statement is

"If it is not night,then the street lights will not come on"

"If not p, then not q"

The correct choice is C.

The inverse of a conditional statement is created by negating both the hypothesis and the conclusion. Thus, the inverse of the statement 'If it is night, the street lights will come on.' is 'If it is not night, then the street lights will not come on.'

The question is asking for the inverse of a given statement. In logic, the inverse of a conditional statement is created by negating both the hypothesis and the conclusion. The original statement: 'If it is night, the street lights will come on.' becomes 'If it is not night, then the street lights will not come on.' in its inverse form. So, the correct answer is C. If it is not night, then the street lights will not come on.

https://brainly.com/question/5338106

#SPJ12

Answer:

Step-by-step explanation:

[tex]1) (x-2)+\frac{6}{x-2} \\=\frac{(x-2)(x-2)+6}{x-2}\\ =\frac{x^{2}-4x+4+6}{x-  2}\\=\frac{x^{2}-4x+10}{x-2}[/tex]

[tex]2)(x+3)+\frac{10}{x-2} \\=\frac{(x+3)(x-2)+10}{x-2}\\ =\frac{x^{2}+3x-2x-6+10}{x-2}\\=\frac{x^{2}+x+4}{x-2}[/tex]

[tex]3)(x+1)+\frac{6}{x-2} \\=\frac{(x+1)(x-2)+6}{x-2}\\ =\frac{x^{2}-2x+x-2+6 }{x-2}\\=\frac{x^{2}-x+4}{x-2}[/tex]

[tex]4)(x-3)+\frac{10}{x-2} \\=\frac{(x-3)(x-2)+10}{x-2}\\ =\frac{x^{2}-3x-2x+6+10 }{x-2}\\=\frac{x^{2}-5x+14}{x-2}[/tex]

Answer:

Alexis and Jon reads at the same rate, 0.67 page by min

Step-by-step explanation:

Rate Alexis = 30/45 pages/min = 0.67 page by min

Rate Jon = 40/60 pages/min = 0.67 page by min

Rate Sal = 45/90 = 0.5 page by min

Rate Andre = 15/25 = 0.6 page by min

Then

Alexis and Jon reads at the same rate, 0.67 page by min

Best regards

3x^2 - 7x + 4

Hope this is the answer you're searching for

Answer: 52 minutes, 416 links

Step-by-step explanation:

8*20=160

13-8=5

160/5=32

32+20=52

52*8=416

Answer:

A

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

To find x subtract the sum of the 2 given angles from 180, that is

x = 180° - (32 + 52)° = 180° - 84° = 96°

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

x and y form a straight angle, hence

y = 180 - x = 180° - 96° = 84°

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

To find z subtract the sum of the 2 angles from 180

z = 180° - (55 + y)° = 180° - (55 + 84)° = 180° - 139° = 41°

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

x = 96°, y = 84°, z = 41° → A

Answer:

5 and 6

Step-by-step explanation:

5 and 6

Answer:

The point must be between 5 and 6, accurately in 5,4

Step-by-step explanation:

SQT[29] = 5,38

Best regards

well the square root of 29 as a decimal is 5.4 to the tenths place so the point would probably be 4 marks to the right of the big 5's mark

Answer:

3 and 4

Step-by-step explanation:

On a number line, 3 2/10 is greater than 3, by 1/5, but less than 4, by 4/5.

3 and 4 are two whole numbers that come after each other.

Answer:

3 and 4

Step-by-step explanation:

3 2/10 is in-between the numbers 3 and 4