What is the circumference of a circle having a radius of 6cm?

Answer:

For savings: 924$ paid. For loan: 963$ paid

If this helps please considering giving me brainliest as it helps me a lot.

232-(59+57+58) = S

232-174 = S

S = 58

Hope this helps!

Answer:

210 miles

Step-by-step explanation:

35 x 6

Answer:

x=335

Step-by-step explanation:

The given expression is

[tex]8^{2x+3}+8^{2x+1}-8^{2x}=519*2^{2010}[/tex]

Apply the reverse of the product rule: [tex]a^{m+n}=a^m\times a^n[/tex]

[tex]8^{2x}\times 8^3+8^{2x}\times 8^1-8^{2x}=519*2^{2010}[/tex]

Factor on the left

[tex](8^3+ 8^1-1})8^{2x}=519*2^{2010}[/tex]

Evaluate

[tex](512+ 8-1})8^{2x}=519*2^{2010}[/tex]

Simplify:

[tex]519*8^{2x}=519*2^{2010}[/tex]

Divide through by 519

[tex]8^{2x}=2^{2010}[/tex]

Write the the LHS as a power of 2.

[tex]2^{3*2x}=2^{2010}[/tex]

[tex]2^{6x}=2^{2010}[/tex]

Equate the exponent

[tex]6x=2010[/tex]

Divide by 6

x=335

The answer is: The point (0,0) is part of the solution.

To find which point is part of the solution of the inequality, we need to evaluate each of the given points. If the inequality is satisfied, then the point is part of the solution, otherwise, if the inequality is not satisfied, the point is not part of the solution.

We are given the inequality:

[tex]y\leq |x+4|-3[/tex]

So, evaluating we have:

- First point (-2,1)

[tex]y\leq |x+4|-3\\\\1\leq |-2+4|-3\\\\1\leq |2|-3\\\\1\leq 2-3\\\\1\leq -1[/tex]

Now, since 1 is not less or equal to -1, the point (-2,1) is not part of the solution.

- Second point (1,3)

[tex]y\leq |x+4|-3\\\\3\leq |1+4|-3\\\\3\leq |5|-3\\\\3\leq 5-3\\\\3\leq 2[/tex]

Now, since 3 is not less or equal to 2, the point (1,3) is not part of the solution.

- Third point (-4,2)

[tex]y\leq |x+4|-3\\\\2\leq |-4+4|-3\\\\2\leq |0|-3\\\\2\leq 0-3\\\\2\leq -3[/tex]

Now, since 2 is not less or equal to -3, the point (-4,2) is not part of the solution.

- Fourth point (0,0)

[tex]y\leq |x+4|-3\\\\0\leq |0+4|-3\\\\0\leq |4|-3\\\\0\leq 4-3\\\\0\leq 1[/tex]

Now, since 0 is less than 1, the point (0,0) is part of the solution.

Hence, we have that the point (0,0) is part of the solution.

Have a nice day!

Answer:

B

Step-by-step explanation:

The graph has a negative slope of 3, so him earning $3 wouldn't make sense, nor would him earning or spending $0.30

Answer:

16%

Step-by-step explanation:

To solve this we are using the standard growth equation:

[tex]y=a(1+b)^x[/tex]

Were

[tex]y[/tex] is the final value after [tex]x[/tex] years

[tex]a[/tex] is the initial value

[tex]b[/tex] is the growth factor (yearly rate of appreciation in our case) in decimal form

[tex]x[/tex] is the time in years

We know from our problem that gold coin appreciated in value from $200.00 to $475.00 in 6 years, so [tex]y=475[/tex], [tex]a=200[/tex], and [tex]x=6[/tex].

Let's replace the values in our equation and solve for [tex]b[/tex]:

[tex]y=a(1+b)^x[/tex]

[tex]475=200(1+b)^6[/tex]

[tex]\frac{475}{200} =(1+b)^6[/tex]

[tex]2.375=(1+b)^6[/tex]

[tex]\sqrt[6]{2.375} =\sqrt[6]{(1+b)^6}[/tex]

[tex]1+b=\sqrt[6]{2.375}[/tex]

[tex]b=\sqrt[6]{2.375}-1[/tex]

[tex]b=0.155[/tex]

which rounds to

[tex]b=0.16[/tex]

Since our appreciation rate is in decimal form, we need to multiply it by 100% to express it as percentage:

0.16*100% = 16%

We can conclude that the yearly appreciation rate of our gold coin is approximately 16%

Answer:

A+C=34

10C+20A=570

Answer:

Gross annual income

Annual income i think lol

Answer:

20 mm^3

Step-by-step explanation:

Formula

V = 1/3 B * h

Givens

B = 15 mm^2

h = 4 mm

Solution

V = 1/3 * 15 * 4

V = 20 mm^3

A "Geometry Net" is a flattened out three dimensional solid (a three dimensional shape) -- like a cube, a prism or a pyramid.

Answer:

$305

Step-by-step explanation:

Answer:

A/281.75

Step-by-step explanation:

1st step.

81.00/9=9

129/12=10.75

2nd step

9*11=99

10.75*17=182.75

3rd step

99+182.75=

281.75 or a

hope this helped!!!!

Stem and Leaf Plot Advantages. The stem and leaf plot essentially provides the same information as a histogram, with the following added benefits: The plot can be constructed quickly using pencil and paper. The values of each individual data point can be recovered from the plot.

Answer:

(3, 2)

(−6, −4)

Step-by-step explanation:

you would use sine

sine = opposite side / hypotenuse

and solve for opposite side (x)

so sine of 70*14= which is about 13.146

Check the picture below.

make sure your calculator is in Degree mode.

Answer:

16

Step-by-step explanation:

The perimeter = sum of the three sides.

1/2 + 1/2 = 1

4 + 5 + 6 + 1 = 16

Answer:

a) $ 120

b) $ 53

Step-by-step explanation:

Cost of Bicycle paid by Jin = $173

Cost of Helmet = $ 19

Total amount paid by Jin = $173 + $19 = $192

This amount is 160% of what Stefan originally spent. Let the amount he originally spent was n, so we can write:

192 = 160% of n

192 = 1.6n

n = [tex]\frac{192}{1.6} = 120[/tex]

Thus, Stefan originally spent $120 for buying the bicycle and the helmet.

Profit which he made from this sale = $ 173 - $ 120 = $53

So he made $53 by selling Jin a bicycle and a helmet

To find the original cost Stefan spent, we calculate 160% of the original cost equal to the total selling price of $192. Divide $192 by 1.60 to find the original cost. Subtract this cost from $192 to find Stefan's profit.

The student's question pertains to calculating the original cost and the profit made from a sale. To solve this, we can set up an equation where 160% of the original cost (which we will call 'x') is equal to the total selling price of the bike and helmet, which is $173 for the bicycle and $19 for the helmet, adding up to $192.

This equation can be represented as 1.60x = $192. To find the original cost (x), divide the total cost by 1.60: x = $192 / 1.60. Calculating this gives us the original cost that Stefan spent.

To find the profit, we subtract the original cost from the total selling price. If x represents the original cost, then the profit is $192 - x. The step-by-step explanation helps the student understand how to set up and solve equations involving percentages, a key concept in mathematics related to business and personal finance.

Answer:

b.4/5

Step-by-step explanation:

step 1

In the right triangle FGH

Find HF

we know that

HG=GF ----> by triangle 45°-90°-45°

Applying the Pythagoras Theorem

[tex]HF^{2} =\sqrt{8}^{2} +\sqrt{8}^{2} \\ \\HF^{2} =16\\ \\HF=4\ units[/tex]

step 2

In the right triangle FEH

Find HE

Applying the Pythagoras Theorem

[tex]HE^{2} =4^{2} +3^{2} \\ \\HE^{2} =25\\ \\HE=5\ units[/tex]

step 3

Find the cos(∠FHE)

cos(∠FHE)=HF/HE

substitute the values

cos(∠FHE)=4/5

Answer:

(-2,2)

hope this helps!!!

norton22aa

Step-by-step explanation:

Answer:

[tex]y=2(x+2) ^ 2 + 2.[/tex]

Step-by-step explanation:

For a quadratic equation written in the general form [tex]y=ax ^ 2 + bx + c[/tex],

the x coordinate of its vertex is:

[tex]x = -\frac{b}{2a} = h[/tex]

Then this equation written in the form of vertex is:

[tex]y=a(x-h) ^ 2 + k.[/tex]

Where the point (h, k) is the vertex of the parabola.

In this case we have the equation

[tex]y=2x^2+8x+10[/tex]

Then the x coordinate of its vertex is:

[tex]x=-\frac{8}{2(2)}\\\\x= -2[/tex]

Therefore the y coordinate of its vertex is:

[tex]f(-2) = 2(-2)^2+8(-2)+10\\\\f(-2) = 2[/tex]

The vertice is (-2, 2)

Then

[tex]h=-2\\\\k = 2[/tex].

This equation written in the form of vertex is

[tex]y=2(x+2) ^ 2 + 2.[/tex]

Answer:

c

Step-by-step explanation:

common sense

7.5 xxx. 8.0 xxx 8.5 xxx 9.0 xxxxx 9.5 xxxx

Answer:

[tex]x\in(-\infty,\infty)[/tex]

Step-by-step explanation:

The given function is [tex]f(x)=5^x[/tex]

Domain is the set of x values for which the function is defined.

The function  [tex]f(x)=5^x[/tex] is an exponential function and for any real values of x, the function f(x) will be defined.

Therefore, we can conclude that the domain of the function is all real numbers.

In interval notation, the domain of f(x) is

[tex]x\in(-\infty,\infty)[/tex]

The domain of the function f(x) = 5^x is all real numbers.

The domain of the function f(x) = 5x is all real numbers. In exponential functions like this one, the domain is always the set of all real numbers. This means that there are no restrictions on the values that x can take. For example, you can plug in any real number into the function, such as 0, 1, -2, or 3.5, and the function will still output a valid value.

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natural numbers. they are also called counting numbers. hope this helps :)

The answer is Whole.

ANSWER

[tex]f(x) = {x}^{3} + 6 {x}^{2} - 19 - 24[/tex]

EXPLANATION

The polynomial function has zeros at:

-8,-1 and 3

This means the polynomial can be factored as:

[tex]f(x) = (x + 8)(x + 1)(x - 3)[/tex]

We expand the last two factors:

[tex]f(x) = (x + 8)( {x}^{2} - 2x - 3)[/tex]

We expand further to get:

[tex]f(x) = {x}^{3} - 2 {x}^{2} - 3x + 8 {x}^{2} - 16x - 24[/tex]

[tex]f(x) = {x}^{3} + 6 {x}^{2} - 19 - 24[/tex]

The polynomial in descending powers of x is said to be in standard form.

5??? Not 100% Sure If Im Correct.

Answer:

C. 95°

Step-by-step explanation:

The up angle of the triangle is 180° - 121° = 59°

The right angle of the triangle is 180° - 144° = 36°

The left angle of the triangle is 180° - (59°+36°) = 180° - 95° = 85°

=> n° = 180° - 85° = 95°

Answer:

○ C. 95°

Step-by-step explanation:

Deduct each exterior angle from 180°, according to the Supplementary Angles Theorem, to get your interior angles:

-144° + 180° = 36°

-121 + 180° = 59°

You have two of the interior angles, so to find the final one, we do this:

-95° + 180° = 85°

You now have your third interior angle measure, and now, it is hooked up to the exterior angle, n°. This is where the Supplementary Angles Theorem comes in again:

-85° + 180° = 95°

So, the m∠n is 95°.

I am joyous to assist you anytime.

Answer:

see explanation

Step-by-step explanation:

The recursive formula allows us to calculate the next term in the sequence from the previous term.

The common ratio r = [tex]\frac{-24}{6}[/tex] = - 4

Thus multiplying any term by - 4 gives the next term, that is

[tex]a_{n+1}[/tex] = - 4 [tex]a_{n}[/tex] with a₁ = 6

Answer:

t = 3 seconds

Step-by-step explanation:

We have the equation, as a function of time, that describes the height of the object that is dropped from the bridge.

The equation is:

[tex]h (t) = 144 - 16t ^ 2[/tex]

Where t is the time in seconds and h is the height in feet.

To know how long it takes the object to fall to the ground we do h (t) = 0 and solve for t.

So:

[tex]0 = 144 - 16t ^ 2\\\\16t ^ 2 = 144\\\\t ^ 2 = \frac{144}{16}\\\\t ^ 2 = 9\\\\t_1 = 3\\t_2 = -3[/tex]

We take the positive solution.

Therefore the object takes 3 seconds to reach the ground

Answer:

t=3 seconds

Step-by-step explanation:

We have the equation, as a function of time, that describes the height of the object that is dropped from the bridge.

The equation is:

Where t is the time in seconds and h is the height in feet.

To know how long it takes the object to fall to the ground we do h (t) = 0 and solve for t.

So:

We take the positive solution.

Therefore the object takes 3 seconds to reach the ground

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Answer:

The conic is an ellipse  ⇒ answer A

Step-by-step explanation:

* Lets explain how to solve the problem

- The polar form equation of a conic with a focus at the origin, the

 directrix is y = ± p where p is a positive real number, and the

 eccentricity is a positive real number e is r = ep/(1 ± e sin Ф)

# If 0 ≤ e <1, then the conic is an ellipse

# If e = 1, then the conic is a parabola

# If e > 1, then the conic is an hyperbola

- Lets solve the problem

∵ The equation of the conic is r = 3/(4 + 2 sin Ф)

∵ The form of the equation is r = ep/(1 ± e sin Ф)

- We must divide up and down by 4 to make the 1st term of the

 denominator equal 1

∴ r = (3/4)/(1 + (2/4) sin Ф)

∴ ep = 3/4

∴ e = 2/4

- Lets use the rules above to identify the type of the conic

∵ e = 2/4 = 1/2

∴ 0 ≤ e < 1

∴ The conic is an ellipse

Answer:

A C D are the answers

Step-by-step explanation:

Ellipse, r=1/1-cos theta, r=3/2-3cos theta

Answer:

15/32 cup

Step-by-step explanation:

Apparently, you're to assume that flour used on the countertop does not end up in the muffins. If that is the case, then the amount of flour in the 8 muffins is ...

4 cups - 1/4 cup = 3 3/4 cups

When that is divided evenly among 8 muffins, the amount in each is ...

(1/8)·(3 3/4 cups) = (1/8)·(15/4 cups) = 15/32 cup

Answer: 15/32

Step-by-step explanation: Because she uses 1/4 to flour the counter you need to subtract 1/4 from four which gives you 3 3/4. 3 3/4 divided by eight equals 15/32