what's -8x is less than or equal to 56

Answer:

here is the formula

and at first calculate area of triangle then use this formulA

An exponential function for the amount in the account after T years if the interest of 8% is compounding annually on initial amount 1700 is: P_T = 1700(1.08)^T

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

Instead of calculating the interest on the initial amount, the compound interest repeats calculating interest on (old amount + interest to be paid).

For this case, we're specified that:

Let P be the inital amount, and r be the rate of interest compounding per unit of time (in decimal)

Let [tex]P_t[/tex] be the amount after t unit of time(same unit as the interest).

Then after 1 year, the new amount would be:
[tex]P_{t+1} = P_t + 100r \%\text{ of }P_t}\\P_{t+1}= P_t + P_t \times r\\P_{t+1} = P_t(1+r)[/tex]

Thus, we get:
[tex]P_t = P_{t-1}(1+r) = P_{t-2}(1+r)(1+r) = P_{t-2}(1+r)^2\\\\P_t = P_{t-t} (1+r)^t = P_0(1+r)^t[/tex]

where P₀ is the initial amount (as amount at t = 0 is initial amount)

Thus, we get:

[tex]P_t = P(1+r)^t[/tex]

Here, putting P = 1700, r = 0.08, and t = T, we get:

[tex]P_T = 1700(1.08)^T[/tex]

Thus, an exponential function for the amount in the account after T years if the interest of 8% is compounding annually on initial amount 1700 is: [tex]P_T = 1700(1.08)^T[/tex]

Learn more about compound interest here:

https://brainly.com/question/11897800

Step-by-step explanation:

[tex] {x}^{2} \times (3 {x}^{3} + 15) \\3 {x}^{2} + 15 {x}^{2} [/tex]

hope it helps

[tex] \huge \frak \green{question}[/tex]

Multiply the polynomials :-

x² ( 5x³ - 2x³ + 15)

[tex] \huge \frak \green{solution}[/tex]

→ x² ( 5x³ - 2x³ + 15)

→ x² × (3x³ + 15)

→ 3x² + 15x²

This can be further solved as :-

→ 3x² + 15x²

→ 18x²

[tex] \huge \frak \red{answer}[/tex]

18x²

Answer:

4y^3 + 4x^2 - 2

Step-by-step explanation:

Sort out these terms following powers of x and y:

First, y terms:

 6y^3 - 2y^3 => 4y^3

Next, constants:

 7 - 7 - 2 => -2

Next, x^2 terms:

 6x^2 - 2x^2 => 4x^2

Now write out the modified expression, using the "combined terms" results given above:

4y^3 + 4x^2 - 2

Answer:

That's alot of words, kinda hard to understand

Answer:

[tex]Mean = 0.36[/tex]

[tex]SD = 0.5817[/tex]

[tex]P(x=3) = 0.003588[/tex]

Step-by-step explanation:

Given

Let

A = Event of being a universal donor.

So:

[tex]P(A) = 0.06[/tex]

[tex]n = 6[/tex]

Solving (a): Mean and Standard deviation.

The mean is:

[tex]Mean = np[/tex]

[tex]Mean = 6 * 0.06[/tex]

[tex]Mean = 0.36[/tex]

The standard deviation is:

[tex]SD = \sqrt{np(1-p)}[/tex]

[tex]SD = \sqrt{6*0.06*(1-0.06)}[/tex]

[tex]SD = \sqrt{0.3384}[/tex]

[tex]SD = 0.5817[/tex]

Solving (b): P(x = 3)

The event is a binomial event an dthe probability is calculated as:

[tex]P(x) = ^nC_x * p^x * (1-p)^{n-x}[/tex]

So, we have:

[tex]P(x=3) = ^6C_3 * 0.06^3 * (1-0.06)^{6-3}[/tex]

[tex]P(x=3) = ^6C_3 * 0.06^3 * (1-0.06)^3[/tex]

[tex]P(x=3) = 20 * 0.06^3 * (1-0.06)^3[/tex]

[tex]P(x=3) = 0.003588[/tex]

Answer:

yes

Step-by-step explanation:

Answer:

112

Step-by-step explanation:

marios heart rate and intensity level is 112

Its C I think

Step-by-step explanation:

turn the line that shows twelve and make it match the line that shows X and then the first line will be shorter

The value of x is 15.

What is Right triangle?

A triangle in which one of the interior angle is 90° is called a right triangle.

Given that;

Sides of a right triangle are 12, 9 and x.

Now,

By the Pythagoras theorem;

x² = 12² + 9²

x² = 144 + 81

x² = 225

x = √225

x = 15

Thus, The value of x is 15.

Learn more about the right triangle visit:

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#SPJ5

Answer:

8

Step-by-step explanation:

This is a 45-45 traingle which mean that the two sides that aren't the hyptonouse are equal (because their angles are equal)

We will let x equal the length of one of the sides

we have

x²+x²=(4√2)²

2x²=32

x²=16

x=4

this means that the length of the two missing sides are 4

Now using the area of a traingle formula we can solve for the area

A=.5*b*h

.5*4*4=8

.5*4*4

Answer:

hey will you join in zo om if your intrested

Answer:

138 feet

Step-by-step explanation:

plug "3" into the expression by replacing "t" with "3"

-16t^2+83t+33

-16(3)^2+83(3)+33 (remember PEMDAS)

=-16(9)+249+33

=-144+282

=138 (I hope this helps)

Answer:

The answer is 24cm²

Step-by-step explanation:

The triangle area is given by A*½ and we get 4*2*½=6

Rectangle one is given as L*W and we solve 3*4= 12

Rectangle two is solved as L*W as well so we solved 1.5*4= 6

and we get 24cm²

Answer:

x = 5

Step-by-step explanation:

Let

x = the unknown variable

The difference of 11 and 2 times a number "x" is 1

11 - 2x = 1

Find x

11 - 2x = 1

Add 2x to both sides

11 - 2x + 2x = 1 + 2x

11 = 1 + 2x

Subtract 1 from both sides

11 - 1 = 1 + 2x - 1

10 = 2x

Divide both sides by 2

10 / 2 = 2x / 2

5 = x

x = 5

Answer:

1.What is the y intercept of the function?

y-coordinate when x = 0, take from the table.

2.What is the first difference?

Difference of y-values. This is the slope

3.Write an equation to represent the function given in the table

Use the first difference and the y-intercept: b = 5, m = 2

Answer:

1/6 of a yard

Step-by-step explanation:

Length of the board = 5/6 yard

He needs to cut the board into 5 equal sections.

Length of each section = length of the board ÷ number of sections

= 5/6 ÷ 5

= 5/6 × 1/5

= (5*1)/(6*5)

= 5/30

= 1/6

Length of each section = 1/6 of a yard

Answer:

D

Step-by-step explanation:

-3x + 4y = 16

y = 3/4x +4 A is a no

B are perpendicular so No

8x -2y = 20

y = 4x -10 C perpendicular to No

-3x +4y = 18

y= 3/4x + 18/4 yes slopes are the same so parallel

Answer:

3/2

Step-by-step explanation:

My reasoning is that the sum of the numbers in the left is equal to the sum of the numbers in the right.

Therefore 6=2y+3

2y=6-3

2y=3

y=1.5 or 1and a half which is equivalent to 3/2

Answer:

Look at the image.

Step-by-step explanation:

Answer:

Not sure about the second one, but the first is x=44

Answer:

Step-by-step explanation:

If parallel lines don't intersect, then there can't be any solutions. An intersection represents a solution.

If this is a true false question, the statement is false.

Answer:

5

Step-by-step explanation:

To find the median, write down all numbers in numerical order and cross off one number from each side until you are left with the middle number.

One thing to keep in mind when doing this, though, is to make sure you cross off the same amount on each side, and if you have 2 numbers left, like 13 and 14, your answer would be the number exactly between those, 13.5.

Hope this helps :)

Answer:

About 5 miles

Step-by-step explanation:

At first, I thought it would be 6 miles because 6x3 is 18 plus the initial 6 dollars which is 24. However, it says that it does not include the tip, which means that Mike DID tip the driver. So there has to be some space for the tip. If it was 6 miles it would be 24 dollars, but there is no more space for the tip. So it has to be 5 miles, because that will be 21 dollars, and assuming the tip could be about 3 dollars, then that would total up to 24 dollars.

Answer:

C = 12.5663706144 cm (round it any way you need)

Step-by-step explanation:

Circumference of a Circle:

C = 2πr

C = 2π(2)

C = 4π

C = 12.5663706144 cm

Answer:

40m^2

Step-by-step explanation:

Hope it helps!!:)