prove the identity cos(x-y)-cos(x+y)=2sinx siny

Answer:

y=4x+8

Step-by-step explanation:

y-y1=m(x-x1)

y-(-8)=4(x-(-4))

y+8=4(x+4)

y=4x+16-8

y=4x+8

Answer:

50

Step-by-step explanation:

Answer:

-1, 8, 17, 26

Step-by-step explanation:

35 - (-10) = 45

45/5 = 9

-10 + 9 = -1

-1 + 9 = 8

8 + 9 = 17

17 + 9 = 26

Final answer:

The four arithmetic means between -10 and 35 are -1, 8, 17, and 26.

Explanation:

To find the four arithmetic means between -10 and 35, we want to divide the interval evenly into six equal parts (because there will be five intervals with four means and two endpoints). First, calculate the total interval size:

35 - (-10) = 45

Then divide this interval by the total number of segments (which is one more than the number of means):

45 / (4 + 1) = 9

This gives us the common difference. Starting from -10 and adding the common difference of 9 each time, the four arithmetic means would be:

Thus, the four arithmetic means between -10 and 35 are -1, 8, 17, and 26.

Answer:

Step-by-step explanation:

Simple multiply both 8 and 12 by any number and then equivalent

Answer:

3/4 or 16/24 or 2/3

Step-by-step explanation:

8x + -4 > 12

8x > 16

x > 2

Hope this helps! ;)

Answer:8x + -4 > 12

8x > 16

x > 2

Step-by-step explanation:

Answer:

3,-2

Step-by-step explanation:

Answer:

ITS (-3,2)

Step-by-step explanation:

Answer:

-8x+60

Step-by-step explanation:

3(-3x+20)+ 5(x/5)

Solve one term at a time

3(-3x+20)

-9x+60

Solve second term

5(x/5)

5x/5

X

Add both terms together

-9x+60+x

-9x+x+60

-8x+60

-8x+60

Step-by-step explanation:

3(-3x+20)+ 5(x/5)

Solve one term at a time

3(-3x+20)

-9x+60

Solve second term

5(x/5)

5x/5

X

Add both terms together

-9x+60+x

-9x+x+60

-8x+60

Answer:

Width = 16cm length = 24cm; Draw up to larger dimensions.

Step-by-step explanation:

Scale factor of 4 means the new shape is 4 times the size of the original.

Work is attached in the image provided.

Answer:

the answer is x^5

Step-by-step explanation:

add the exponents

The required expression equal to x².x³ is [tex]x^5[/tex].

Given that,
To determine the expression is equivalent to  x².x³

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
The given expression,
= x².x³
There is a property in the product if the base of the exponents is the same then their power gets added.
So, the simplification
= [tex]x^{2+3}[/tex]
= [tex]x^5[/tex]

Thus, the required expression equal to x².x³ is [tex]x^5[/tex].

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

Answer:

20%

Step-by-step explanation:

30-24=6

6/30=.2=20%

Answer:

Decrease by 6

Step-by-step explanation:

20%

Answer:

(1) Factor: a^n(1+a)

(2) Solve: x=0, x=2/3

Step-by-step explanation:

Steps to factor:

[tex]a^n+a^{n+1}[/tex]

~Apply rule of exponent ([tex]a^{b+c}=a^ba^c[/tex])

[tex]a^n+a^1a^n[/tex]

~Factor out the common term of [tex]a^n[/tex]

[tex]a^n(1+a)[/tex]

Steps to solve:

[tex]3x^3-x^2=x^2[/tex]

~Subtract [tex]x^2[/tex] to both sides

[tex]3x^3-x^2-x^2=x^2-x^2[/tex]

~Simplify

[tex]3x^3-2x^2=0[/tex]

~Factor left side of the equation

[tex]x^2(3x-2)=0[/tex]

~Set factors to equal zero

[tex]x^2=0[/tex] and [tex]3x-2=0[/tex]

~Simplify

[tex]x = 0[/tex] and [tex]x=\frac{2}{3}[/tex]

Best of Luck!

Answer:

Account balance after 17 years: $21,352.27

Step-by-step explanation:

Use the formula for amount after compound interest.

A = P(1+i)ⁿ

What the variables mean:

"A" is for amount after the time period.

"P" is principal, meaning starting money.

"i" is the interest per compounding period.

"n" is the total number of compounding periods.

"c" is the compounding periods each year. (annual = 1; monthly = 12, etc)

To calculate "i":

i = r/c

"r" is the annual interest rate in decimal form.

To calculate "n":

n = t*c

"t" is the time, usually the number of years.

Now can combine these formulas:

[tex]A = P(1+\frac{r}{c})^{t*c}[/tex]

What do we know from the problem?

t = 17 years

P = 4650

r = 9% = 0.09

c = 12

Substitute them into the formula.

[tex]A = P(1+\frac{r}{c})^{t*c}[/tex]

[tex]A = 4650(1+\frac{0.09}{12})^{17*12}[/tex]           Simplify

[tex]A = 4650(1.0075)^{204}[/tex]               Do the exponent with a calculator

[tex]A = 4650(4.59188689)[/tex]        Multiply

[tex]A = 21352.274[/tex]                  Unrounded answer

A ≈ 21352.27                 Round down because "4" is less than 5.

Therefore Ashley's account balance after 17 years will be $21,352.27.

Answer: X = 27

Step-by-step explanation: The diagram shows two triangles with one triangle cut out from the other. A careful observation would reveal triangle BDR and triangle QDC.

Since line QC is parallel to line BR, that makes triangle QDC similar to triangle BDR. Also the ratio of lines QD and BQ is the same as the ratio of lines CD and RD. The same applies to lines QC and BR.

Therefore,

QD/BQ = CD/RC

Alternatively we can use the ratios,

QD/BD = CD/RD

Using the first ratios, we have

QD/BQ = CD/RC

39/26 = X/18

3/2 = X/18 {the left hand side has been reduced to it's simplest form}

If we cross multiply, we now arrive at

3 × 18 = 2X

54 = 2X

Divide both sides of the equation by 2

27 = X

Answer:

Explanation:

I will rewrite the table to understand how the process of solving using succesive approximations is.

Table:

x        f(x)      g(x)

0        - 5      - 6

1         - 3       - 5

2        - 1       - 2

3          1          3

Those are the points shown in the table.

Now you must continue the process of solving using successive approximations until you find the positive solution to the nearest tenth.

You need to determine whether a "guess" is closer or farther away of the solution.

The first row shows that g(x) is less than f(x) in 1 unit when x = 0 ( -6 - (-5) ) = -1.

The second raw shows that g(x) is less than g(x) in 2 units when x = 1 ( - 5 - (-3) ) = - 2

The third row shows that g(x) is is less than f(x) in 1 unit when x = 2 ( - 2 - (-1) ) = - 1.

The fourth row shows that g(x) is than f(x) in 2 units when x = 3 ( 3 - 1 = 2).

Hence, the trend changed form negative to positive, meaning that, since the functions are continous, there must be an intertemediate value of x (between x = 2 and x = 3) for which f(x) = g(x) and that is the solution.

Therefore, test x = 2.5

Test for x = 2.4

Now the difference is less than 0.1 and the solution to the nearest tenth is (2.4, - 0.2).

Answer:

answer is 2.7

Step-by-step explanation:

I got it right

(A)  4 sec the ball is in the air.

(B) Height of the ball = 49 ft.

(C) Yes, the ball is at its maximum height at 1.5 seconds.

Solution:

Given data:

[tex]h(t)=-16t^2+48t+64[/tex]

Initial velocity = 48 ft/s

Height = 64 ft

(A)  [tex]-16t^2+48t+64=0[/tex]

a = –16, b = 48, c = 64

We can solve it by using a quadratic formula,

[tex]$\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$[/tex]

[tex]$\Rightarrow t=\frac{-48 \pm \sqrt{(48)^{2}-4 \times(-16)(64)}}{2(-16)}[/tex]

[tex]$\Rightarrow t=\frac{-48 \pm \sqrt{2304+4096}}{-32}[/tex]

[tex]$\Rightarrow t=\frac{-48 \pm \sqrt{6400}}{-32}[/tex]

[tex]$\Rightarrow t=\frac{-48 \pm 80}{-32}[/tex]

[tex]$\Rightarrow t=\frac{-48 + 80}{-32},\frac{-48 - 80}{-32}[/tex]

[tex]$\Rightarrow t=-1,t=4[/tex]

Time cannot be in negative. So neglect t = –1

t = 4 sec

Hence, 4 sec the ball is in the air.

(B) When t = 1.5 sec,

[tex]h(1.5)=-16(1.5)^2+48(1.5)+64[/tex]

h(1.5) = 49 ft

(C) The maximum height occurs at the average of zeros.

Average = [tex]\frac{(-1+4)}{2}=1.5[/tex] sec

Yes, the ball is at its maximum height at 1.5 seconds.

4 pints of strawberries and 2 pints of blueberries are bought

Solution:

Let "a" be the pints of strawberries bought

Let "b" be the pints of blueberries cost

Cost per pint of strawberry = $ 1.60

Cost per pint of blueberry = $ 2.30

A shopper bought twice as many pints of strawberries as pints of blueberries

Therefore,

a = 2b --------- eqn 1

They spent a total of $11.00. Therefore we frame a equation as:

pints of strawberries bought x Cost per pint of strawberry + pints of blueberries cost x Cost per pint of blueberry = 11

[tex]a \times 1.60 + b \times 2.30 = 11[/tex]

1.6a + 2.3b = 11 --------- eqn 2

Substitute eqn 1 in eqn 2

1.6(2b) + 2.3b = 11

3.2b + 2.3b = 11

5.5b = 11

Divide both sides by 11

b = 2

Substitute b = 2 in eqn 1

a = 2(2)

a = 4

Thus 4 pints of strawberries and 2 pints of blueberries are bought

Answer:

3.45

Step-by-step explanation:

Its right on the quiz

Answer:

The points are (0,-1) and (1,1)

Step-by-step explanation:

Answer:

Line A

Step-by-step explanation:

To find the total weight of the hamburger in three packages, multiply the weight of one package by three. The total weight of the hamburger is 5 1/4 pounds.

The student's question involves finding the total weight of three packages of hamburger, each weighing 1 3/4 pounds.

To solve this problem, the weight of one package must be multiplied by the number of packages.

The calculation is: 1 3/4 pounds × 3, or in improper fraction form, (7/4) pounds × 3.

Multiplying the improper fraction by 3, we have:

The fraction 21/4 is equivalent to 5 1/4 when converted into a mixed number because 21 divided by 4 is 5 with a remainder of 1.

Therefore, Mary has a total of 5 1/4 pounds of hamburger across the three packages.

Answer:

[tex]\log 2-\log 8=\log\frac{1}{4}\\\\\log 2-\log 8=-\log 4[/tex]

Step-by-step explanation:

[tex]\log 2-\log 8=\log\frac{2}{8}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \log\frac{a}{b}=\log a-\log b\\\\\log 2-\log 8=\log\frac{1}{4}\\\\\log 2-\log 8=\log 1-\log 4\ \ \ \ \ \ \ \ \ \ \ \ \ \ \log\frac{a}{b}=\log a-\log b\\\\\log 2-\log 8=-\log 4\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \log 1=0[/tex]

Answer:

log(1/4)

log(2) + log (1/8)

Answer:

16272

Step-by-step explanation:

Answer:

16272

Step-by-step explanation:

the answer would be 16272.

and if u need help with anything else you can easily use me :) jkjk use a calculator  

Answer: 29%

Step-by-step explanation:

You need to divide the rent, 8265, by the amount of money he earns.

8265/28500 is .29

Multiply that by 100 to get it in percent form

Answer:

h = 96/8

Step-by-step explanation:

In this image, we're being shown a rectangle. To solve for a rectangle, you use:

Area = base x height

We know the base and area already, so we can plug those values in. It will then look like this:

96 ft = 8ft x height

In order to make it into "h = _____" we need to isolate the height. We can use inverse operation for that. We can divide 8 on both sides. This will then give us the equation:

h = 96/8

Hence, the answer to this is "h = 96/8". If you have any further concerns or questions, feel free to leave a comment below! Have a great day!!! :)

Answer:

Step-by-step explanation:

40 per month + 0.20 per text(t)

40 + 0.2t....no parenthesis needed

Answer:

did it

Step-by-step explanation:

Answer:

Step-by-step explanation:

So the dilation of .75.

You want to find what each point is before the dilation.

A(-10,-14)

B(-10,14)

C(12,14)

D(12,-14)

So, we multiply these by the scale factor, 0.75.

(x,y) = (X x 0.75, y x 0.75)

A  = -10 x 0.75, -14 x 0.75

B= -10 x 0.75, 14 x 0.75

C = 12 x 0.75 , 14 x 0.75

D = 12 x 0.75 , -14 x 0.75

now, the image of the figure would be

A' ( -7.5, -10.5)

B' (-7.5, 10.5)

C' (9, 10.5)

D' (9, -10.5)

Answer:

not that hard sir

Step-by-step explanation:

do 7/8 x 5

Final answer:

Tarryn drives a total of 8.75 miles in a week to and from work, with each one-way trip being 7/8 mile and she works 5 days a week.

Explanation:

Calculating Total Distance Driven

Tarryn drives to and from work 5 days a week, with each trip being 7/8 mile. To calculate the total distance she drives in a week, we need to consider both the trip to work and the return trip. This will give us the daily round trip distance, which we will then multiply by the number of days she works in a week.

First, we calculate the daily round trip distance:

Round trip distance = Distance to work + Distance from work

Round trip distance = 7/8 mile + 7/8 mile

Round trip distance = 7/4 miles (or 1.75 miles)

Then, we calculate the total distance for the week:

Total weekly distance = Daily round trip distance × Number of workdays

Total weekly distance = 7/4 miles × 5 days

Total weekly distance = 35/4 miles (or 8.75 miles)

Therefore, Tarryn drives a total of 8.75 miles over the course of a 5-day workweek.