The five terms of the sequence described by recursive function

Estimate of product: ≈200, 50×4

The real product: 53×4=212

The product of 53 and 4, is  212.

The question is asking to estimate the product of 53 and 4, then to record the actual product of these numbers. To estimate, we could round 53 to the nearest ten, which would give us 50, and then multiply by 4:

50 x 4 = 200.

The actual product is calculated by multiplying 53 by 4:

53 x 4 = 212.

So the estimate of the product is 200 and the actual product is 212.

To solve sin (3\u03c0/4) cos (\u03c0/12), calculate the value of sin (3\u03c0/4), use the half-angle formula to find cos (\u03c0/12), and multiply the results.

To solve the expression sin (3\u03c0/4) cos (\u03c0/12), we need to find the sine and cosine values of the individual angles and then multiply them together. The sine of 3\u03c0/4 is \u221a2/2 and the cosine of \u03c0/12, which is not a standard angle on the unit circle, can be calculated using the half-angle formula since \u03c0/12 is half of \u03c0/6. Therefore, once we have both values, we simply multiply them to get the result of the expression.

Answer:

A) 0 to 100 mph

Step-by-step explanation:

the range would be the mpg, and domain would be speed.

That would be the best presentation.

18 divided by (-9) equals -2.

-2 is the answer

So a negative divided by a positive is a negative so do 18/9 =2 and then make it negative

Hey there!!

What is slope-intercept form :

... y = mx + b

( a ) Given :

... ( 2 , -2 ) and slope=1.4

... y = mx + b

... -2 = 2×1.4 + b

... -2 = 2.8 + b

... -4.8 = b

The slope-intercept form :

... y = 1.4x - 4.8

( b ) Given :

... ( -1 , 4 ) and slope = -3.

y = mx + b

... 4 = -3×-1 + b

... 4 = 3 + b

... 1 = b

The slope-intercept form :

... y = -3x + 1

Note :

( m = slope and b = y-intercept )

Hope my answer helps!!

Answer:

... y = mx + b ( a ) Given : ... ( 2 , -2 ) and slope=1.4 ... y = mx + b ... -2 = 2×1.4 + b ... -2 = 2.8 + b ... -4.8 = b The slope-intercept form : ... y = 1.4x - 4.8( b ) Given : ... ( -1 , 4 ) and slope = -3. y = mx + b ... 4 = -3×-1 + b ... 4 = 3 + b ... 1 = b The slope-intercept form : ... y = -3x + 1 Note :  ( m = slope and b = y-intercept ) Hope my answer helps more math stuff

Step-by-step explanation:

If the oak tree is 48 feet tall, and is 8 times taller than Mike, you must divide 48 by 8 to find that Mike is 6 feet tall. To check your work, multiply 6 by 8 and see that you get 48 feet. Hope I helped!!

Please award brainliest!:)

Mike is 6 feet tall. This is determined by dividing the height of the oak tree, which is 48 feet, by 8, because Mike's height is said to be 1/8 of the oak tree's.

The subject of this question is a basic math problem involving division. The question states that the oak tree is 8 times as tall as Mike. So, to find Mike's height, we need to divide the oak tree's height by 8.

Applying this to the details given:
Oak Tree height = 48 feet
Mike's height = Oak Tree Height/8
Mike's height = 48/8
Mike's height = 6 feet
So, Mike is 6 feet tall.

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4/20 is equivalent to 20%.

We have the following fraction -

4/20

We can convert it into percent as -

[x]% = (4/20) x 100

[x]% = 20%

Therefore, 4/20 is equivalent to 20%.

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Im not sure but the answer might be 52. I just found the area of the whole box, and then found the area of the red box only. I subtracted the area of the red box from the whole box and got 52.

66 square units, because you count the number of yellow squares

Answer:

k= 8/5

Step-by-step explanation:

here x= 5 and y= 8

we have y=kx

k= y/x

k= 8/5 this is constant of variation

Answer:

[tex]k=\frac{8}{5}[/tex]

Step-by-step explanation:

find the constant of variation k of the line y=kx through (5,8)

Use equation of line [tex]y=kx[/tex]

k is the constant of variation

LEts find out k using the point (5,8)

x=5 and y=8, plug in the values

[tex]8=k(5)[/tex]

To get k alone, divide by 5 on both sides

[tex]k=\frac{8}{5}[/tex]

10. You are finding 3% of 100, or .03 x 100. The product should be 3.

11. You are finding the whole amount of 3, or 1 x 3. The product should be 3.

12. Again, find 80% of 120, or 0.80 x 120. The product should be 96.

13. This time, because the number is greater than 100%, you would write it as 1.15 x 6. The answer should be 6.90.

14. In this scenario you are going backwards--meaning instead of using multiplication you use division. If 32 is the amount inside of 128, you divide 32 by 128. The quotient should be 0.25, or 25%.

15. Just like #14 (except phrased differently), 3 is inside of 36, so you divide 3 by 36. The quotient should be 0.08333... or about 8%.

16. In this problem you will have to divide again, except (because the decimal is given) you divide the amount left, 23.7, by the decimal/percent, .30. The quotient should be 79.

17.  This problem is also the same as the previous, just phrased differently. 7[tex]\frac{1}{2}[/tex]%, or 7.5% is written as 0.075 in decimal form. Again, divide the amount left, 12, by the decimal/percent, 0.075. The quotient should be 160.

Hope I helped! (Please give Brainliest!)

[tex]Domain:\ a\neq0\ \wedge\ b\neq0[/tex]

[tex]\dfrac{x}{a}=\dfrac{x}{b}\qquad|\text{cross multiply}\\\\bx=ax\qquad|\text{subtract ax from both sides}\\\\bx-ax=0\\\\x(b-a)=0\qquad|\text{divide both sides by }\ b-a\neq0\\\\x=0[/tex]

[tex]\dfrac{x}{a}=\dfrac{x}{b}\\\\if\ a\neq b\ then\ x=0\\\\if\ a=b\ then\ x\in\mathbb{R}[/tex]

Jodi walks 35 minutes a day, for 240 days

Multiply 35 with 240

240 x 35 =  8400

8400 minutes is your answer

hope this helps

Hello AnnaGracePollard, here is the answer to your question:

Here we just need a simple multiplication, like this:

35 minutes * 240 days =  8400 minutes

So the answer is: In 240 days, Jodi walked for 8400 minutes.

Hope this answered your question!

It would be 7x10^-2

That number would be rounded to 0.07

the answer is 44.75 I would explain but ehhhhhhhhhh

I got 37,286 the steps were...

2 4

7,381

× 6

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37,286.

Am I suppose to multiply?

two - point six

is the answer

The answer you are looking for is "Two and six tenths".

The reason this is, is because 2 is left of the decimal, which makes it "two". Since 6 is to right of the decimal, you have to look at how far it is from the decimal. It being directly after the decimal, it is in the tenths place, making it six tenths. Thus meaning the answer is two and six tenths.

I hope this helps!

the area of the square would be 49

49 inches (7 multiplied by 7)

I see choice (A) is missing, so I am giving you two solutions for you to understand and decide which one applies:

(1) Final balance with compound interest - meaning every year you add the year's interest to the principal and earn interest on the increased amount, etc. This is the actual case in real banks:

principal amount is $425 at (annual) interest rate 4.5%

interest amount for 1 year $19.13

Now, use the formula for compound interest

total balance = principal*(1+interest rate)^year

[tex]\$425\cdot(1.0475)^4= \$511.68[/tex]

So the amount after 4 years with compound interest should be $511.68

(2) the silly way: earn interest of $20.1875 every year and keep it separately (not earning additional interest). That'll make 425+4*20.1875=$505.75 which is answer (C)

so if your (A) matches my solution (1) then go with that. If not, choose (C).

The quotient from the given division is 64.

Given that, 24 divided by 3/8.

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

Here, 24 ÷ 3/8

= 24 × 8/3

= 8 × 8

= 64

Therefore, the quotient from the given division is 64.

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Here is the inequality:

[tex]-2x+6<20[/tex]

You're looking for x. To find it, you have to remove everything on the same side of the variable. The only thing with it is positive 6. To remove it, you have to do the opposite of it, which is -6, which is also the same as subtracting 6. Subtract 6 from both sides:

[tex]-2x+6-6<20-6 \\-2x<14[/tex]

Now you have -2x. When you have a negative variable, the inequality sign changes. Change the sign:

[tex]-2x<14 \rightarrow -2x>14[/tex]

You're looking for x alone. To leave x alone, you have divide both sides by -2 since the variable is -2x. Divide both sides by -2:

[tex]-2x \div -2 > 14 \div -2 \\\\x>-7[/tex]

When dividing a negative number number by a positive or vice versa, the result is ALWAYS negative. That's why in your answer, it's -7.

Your answer is x > -7

GRAPH:

Answer:

72 passenger planes

Step-by-step explanation:

ratio passenger to cargo = 8 to 5 = 8/5

Let p = number of passenger planes.

The ratio of passenger to cargo planes that actually landed is p/45.

The ratio in general is 8/5, so 8/5 must equal p/45.

p/45 = 8/5

5p = 45 * 8

p = 9 * 8

p = 72

Answer: I'm guessing 72

Step-by-step explanation:

Jonathan studies for 5 hours and get to play 3 hrs.

Lucas studies for 1 hour and gets to play for 30 min =0.5 hrs

so if Lucas also studies for 5 hours he gets to play 0.5 * 5 = 2.5 hours which is less than Jonathan.

So Jonathan gets to play more

Answer:

20,053

Step-by-step explanation:

20,335 - 282 = 20,053

Answer:

20617 feet is your answer

Step-by-step explanation:

You are subtracting the two numbers. Note however, that 282 feet below the sea level = -282

Subtract.

20335 - (-282) = answer

Note that two negatives = one positive

20335 + 282 = answer

20617 = answer

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~Senpai

it shifts one to the right and you take out a 0

the change in the digits is 10x (10 times) less

Given the equation [tex]6x-3y=5.[/tex]

Check all options:

A. [tex]\left(9,\dfrac{16}{3}\right)[/tex], this means that [tex]x=9, y=\dfrac{16}{3}.[/tex] Substitute these numbers into the left side of the equation equation:

[tex]6\cdot 9-3\cdot \dfrac{16}{3}=54-16=38\neq 5.[/tex]

This option is false.

B.  [tex]\left(6,-3\right)[/tex], this means that [tex]x=6, y=-3.[/tex] Substitute these numbers into the left side of the equation equation:

[tex]6\cdot 6-3\cdot (-3)=36+9=45\neq 5.[/tex]

This option is false.

C.  [tex]\left(1,-\dfrac{11}{3}\right)[/tex], this means that [tex]x=1, y=-\dfrac{11}{3}.[/tex] Substitute these numbers into the left side of the equation equation:

[tex]6\cdot 1-3\cdot \left(-\dfrac{11}{3}\right)=6+11=17\neq 5.[/tex]

This option is false.

D.  [tex]\left(-2,-\dfrac{17}{3}\right)[/tex],  this means that [tex]x=-2, y=-\dfrac{17}{3}.[/tex] Substitute these numbers into the left side of the equation equation:

[tex]6\cdot (-2)-3\cdot \left(-\dfrac{17}{3}\right)=-12+17=5.[/tex]

This option is true.

Answer: correct choice is D.

Answer:

Option d

Step-by-step explanation:

Given is a linear equation in x and y as

[tex]6x-3y =5[/tex]

To check whether a point satisfies the equation, let us substitute and check whether the equation holds good

a) [tex]6(9)-3(16/3) = 38 \neq 5[/tex]

b) [tex]6(6)-3(-3) \neq 5[/tex]

c) [tex]6(1)-3(-11/3) = 17\neq 5[/tex]

d) [tex]6(-2)-3(-17/3) = -12+17 =5[/tex]

Since last point satisfies the equation, option d is the answer.

Step 1. Simplify 2 * 1 to 2

|4 - 2|-17|-13|

Step 2. Simplify 4 - 2 to 2

|2|-17|8-13|

Step 3. Simplify 8 - 13 to -5

2 - 17|-5|

Step 4. Simplify |-5| to 5

2 - 17 * 5

Step 5. Simplify 17 * 5 to 85

2 - 85

Step 6. Simplify

-83

Answer:

your answer is -83

Step-by-step explanation:

2 7/8 is 2.875 in decimal and then compare it to 2.75

2.875 > 2.75

therefore the answer is >(greater than)

answer:  [tex]2\frac{7}{8} < 2.75[/tex]

work: if you turn [tex]2\frac{7}{8}[/tex] into a decimal it would be [tex]2.25[/tex].

[tex]>[/tex] means greater than.

[tex]<[/tex] means less than.

so [tex]2.25[/tex] would be less than [tex]2.75[/tex] or in other words [tex]2\frac{7}{8} < 2.75[/tex] which would be your final answer.

hope this helps! ❤ from peachimin