Please I need help Fast!!!!!!!

Answer:

21 ft

Step-by-step explanation:

C = 2πr

Filling in the given values, we have ...

131.88 ft = 2·3.14·r . . . . we can find r by dividing by its coefficient

131.88 ft/6.28 = r = 21 ft

(-1/4)x + 2 = 8

Multiply all terms by 4.

(-1)x + 8 = 32

Simplify.

-x + 8 = 32

Subtract 8 from both sides.

-x = 24

Multiply both sides by -1.

x = -24.

-1/4(-24) + 2 = 8

Evaluating functions is the process of substituting a specific value in place of the variable in a function to compute a result. For example, given the function f(x) = x^2, if asked to find f(2), you would replace x with 2 resulting in 4.

Evaluating functions in mathematics involves inserting a specific numerical value or a variable into a function to compute a result. For example, if you're given the function f(x) = x^2, and you're asked to find f(2), you simply substitute 2 in place of x in the function, resulting in 2^2, which equals 4.

For instance, if we were to evaluate f(5) for the given function, it would give the result 25 because 5^2 = 25. Hence, simply put, to evaluate a function is to replace the variable with the input value, and compute the result.

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Answer:

x⁶ +30x⁵ +375x⁴ +2500x³ +9375x² +18750x +15625

Step-by-step explanation:

The expansion is the sum of C(6, k)·x^(6-k)·5^k for k=0–6, where ...

... C(6, k) = 6!/(k!(6-k)!)

For k = 0–6, C(6, k) = {1, 6, 15, 20, 15, 6, 1}

Then the expansion is ...

... x⁶ +6·5¹·x⁵ +15·5²·x⁴ +20·5³·x³ +15·5⁴·x² +6·5⁵·x +5⁶

Using binomial theorem to expand the power of a binomial (X+5) to the power 6 and the result is [tex]X^6 + 30 \times X^5 + 300 \times X^4 + 1500 \times X^3 + 3750 \times X^2 + 4500 \times X + 3125[/tex].

To expand the expression (X+5) to the power 6 using the binomial theorem, we can use the formula [tex](a + b)^n = nC_0 \times a^n + nC_1 \times a^{(n-1)} \times b^1 + nC_2 \times a^{(n-2)} \times b^2 + ... + nC_n * b^n[/tex].

In this case, a = X, b = 5, and n = 6.

Using the binomial coefficients, the expanded expression becomes:

[tex]X^6 + 6 \times X^5 \times 5 + 15 \timesX^4 \times 5^2 + 20 \times X^3 \times 5^3 + 15 \times X^2 \times 5^4 + 6 \times X \times 5^5 + 5^6[/tex]

Simplifying this expression gives

[tex]X^6 + 30 \times X^5 + 300 \times X^4 + 1500 \times X^3 + 3750 \times X^2 + 4500 \times X + 3125[/tex].

about 83%

Put the given value in the formula and do the arithmetic.

... P(66) = 90/(1 +271·e^(-0.122·66))

... = 90/(1 +271·e^-8.052)

... = 90/(1 +271·0.00031846)

... = 90/(1 +0.0863)

... = 90/1.0863

... = 82.8 . . . . percentage with some coronary heart disease

For this case, we have that by definition:

Let "x" be an angle of any vertex of a right triangle.

[tex]tangent (x) = \frac {Cathet \ opposite} {Cathet \ adjacent}[/tex]

So, if we want to find the angle x of the triangle shown we have:

[tex]tangent (x) = \frac {13} {6}\\x = arc \ tangent (\frac {13} {6})\\x = 65.23[/tex]

Rounding:

[tex]x = 65\ degrees[/tex]

Answer:

65 degrees

Option d

The expression [tex] x^3y [/tex] means that you have to cube the value of [tex] x [/tex] and multiply it by the value of [tex] y [/tex].

So, the value of [tex] x [/tex] is 5, which becomes 125 when cubed. When we multiply it by the value of [tex] y [/tex], which is 10, the result is 1250:

[tex] x^3y = 5^3\cdot 10 = 125\cdot 10 = 1250 [/tex]

The value of the expression x^3 * y^1 * x^3 * y^1 when x = 5 and y = 10 is 156250.

Let's substitute the values of x and y into the expression:

x^3 * y^1 * x^3 * y^1

When x = 5 and y = 10:

(5^3) * (10^1) * (5^3) * (10^1)

Now, calculate the values:

(5^3) = 5 * 5 * 5 = 125

(10^1) = 10

Now, plug these values back into the expression:

125 * 10 * 125 * 10

Multiply the numbers:

125 * 10 * 125 * 10 = 156250

So, the value of the expression x^3 * y^1 * x^3 * y^1 when x = 5 and y = 10 is 156250.

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Answer:

Step-by-step explanation:

The circumference of a circle of radius r is given by

... C = 2πr

When r = 1 m, then

... C = 2π(1 m) = 2π m

The relation between time, distance, and speed is ...

... time = distance/speed

... time = (2π m)/(1 m/s) = 2π s

_____

Comment on the scenario

We have a hard time imagining what sort of scenario this is modeling, as it appears the "boat" is rotating in such a way as to place the barnacle above and below the water level. This problem may be nonsensical, but at least it is workable. (Some aren't.)

Answer:2 pi

Step-by-step explanation:

The coin is flipped 15 times and you get 10 heads, is written as 10/15.

10/15 = 0.66666  = 66.7%

Answer:

9.2%

Step-by-step explanation:

Try this solution:

a) the property of the inscribed quadrilateral is: m∠A+m∠G=m∠H+m∠F=180°.

It means (for m∠A+m∠G=180°), 21x-2+38x+5=180°, ⇒ x=3, m∠G=63-2=61°.

b) m(arcFAH)=2m∠FGH=2m∠G=122°.

c) x²-2x+y²-4y=11; ⇔ (x²-2x+1)+(y²-4y+4)=16; ⇔ (x-1)²+(y-2)²=4², where (1;2) is the centre and 4 - radius of this circle.

Answer:

4

Step-by-step explanation:

The derivative of a 5th-degree polynomial is a 4th-degree polynomial, so will have at most 4 real zeros. The zeros of the derivative correspond to the turning points of the function.

Answer:

5^(3m+10)

Step-by-step explanation:

There are several ways you can go at this. One is to do the division of fractions the way you often do division with fractions: multiply by the inverse of the denominator.

= (5^(m+4)) · (25^(m+3))

= (5^(m+4)) · ((5^2)^(m+3))

= (5^(m+4)) · (5^(2m+6))

= 5^(m+4+2m+6)

= 5^(3m+10)

Answer:

5.) 348 kg

6.) 20.7 lb

7.) 240

Step-by-step explanation:

5.) 48% of 725 kg

48 × 725 ÷ 100 = 348 kg

6.) 15% of 138 lb

15 × 138 ÷ 100 = 20.7 lb

7.) 45% of _____is 108.

100 × 108 ÷ 45 = 240

Thus, 5.) 348 kg; 6.) 20.7 lb; 7.) 240

-TheUnknownScientist

Answer:

a) w+c = 5 ____equation(1) and w = c ____equation (2)

b) 2.5 lb walnuts and 2.5 lb cashews

Step-by-step explanation:

Let w pounds be the weight of walnuts required and c pounds be the weight of cashews required to make the new mixture.

Total weight of the new mixture = 5 lb

So,

Weight of walnuts + Weight of cashews = Total weight of the new mixture

w+c = 5 ____equation (1)

Now,

60% of walnuts +40% of cashews = 20% of walnuts + 80% of cashews

0.60w+0.40c = 0.20w+0.80c

Subtracting 0.20w from both the sides of the equation, we get

0.60w+0.40c-0.20w = 0.20w+0.80c-0.20w

Cancelling out the 0.20w and -0.20w from the right side, we have

0.60w-0.20w+0.40c = 0.80c

=> 0.40w+0.40c=0.80c

Subtracting 0.40c from both sides, we get

0.40w+0.40c-0.40c=0.80c-0.40c

Cancelling out 0.40c and -0.40 c form the left side, we get

0.40w = 0.40c

Dividing both sides by 0.40, we have

[tex]\frac{0.40w}{0.40} = \frac{0.40c}{0.40}[/tex]

Cancelling out the 0.40's from the top and bottom, we get

w = c ____equation (2)

Plugging in w=c into the equation 1, we get

w+c = 5

=> c+c =5

=> 2c = 5

Dividing both sides by 2, we get

[tex]\frac{2c}{2} = \frac{5}{2}[/tex]

Cancelling out the 2's from the left, we get

c = 2.5

Plugging in c=2.5 into the equation 1, we get

w+c = 5

=> w + 2.5 = 5

Subtracting 2.5 from both sides, we get

w+ 2.5 -2.5 = 5 - 2.5

Cancelling out the +2.5 and -2.5 from the left side, we get

w = 2.5

So, we need 2.5 lb walnuts and 2.5 lb cashews to make the new mixture.

Answer:

f(x) = 0.4·3^x

Step-by-step explanation:

Exponential growth occurs when the base is greater than 1 and the exponent is an increasing non-negative function of the variable, or when the problem can be cast in that form using the rules of exponents.

Here, in f(x) = 0.4×3^x, the base is 3 (greater than 1), and the exponent of x has a positive coefficient.

Answer:

[tex]f(x) = 0.4(3)^x[/tex]

Step-by-step explanation:

Remember that for a function to be exponential you need the number to which is being elevated to a certain exponent to be greater than 1, since in the options the only one that is greater than 1 is (3) the first option is the only one that is actually exponential eventhough all of them have exponents.

Answer:

x > 1

Step-by-step explanation:

Firstly, the +3 must be moved over to the other side, making it a -3:

2x > 5 - 3

2x > 2

Then, divide both sides by two to get 1x:

x > 1

Hi there!

Answer:

X>1

*The answer must have a positive sign and greater than symbol.*

Step-by-step explanation:

First, you subtract by 3 from both sides of an equation.

[tex]2x+3-3>5-3[/tex]

Then, you subtract by the numbers from left to right.

[tex]5-3=2[/tex]

[tex]2x>2[/tex]

You can also divide by 2 from both sides of an equation.

[tex]\frac{2x}{2}>\frac{2}{2}[/tex]

Finally, you divide by the numbers from left to right.

[tex]2/2=1[/tex]

Final answer is x>1

I hope this helps you!

Have a nice day! :)

:D

-Charlie

Thank you so much! :)

:D

Answer:

Step-by-step explanation:

We know:

The sum of the measures of the angles of the triangle is equal to 180 °.

Therefore we have the equation:

[tex]y+(y-12)+56=180[/tex]         combine like terms

[tex]2y+44=180[/tex]              subtract 44 from both sides

[tex]2y=136[/tex]           divide both sides by 2

[tex]y=68[/tex]

Answer:

24

Step-by-step explanation:

We want the ratios to be equal

18:x    9:12

18                 9

--------- =   -----------

x                  12

We divide by 2 to get from 18 to 9

x ÷2 =12

Multiply each side by 2

x ÷2*2 =12*2

x = 24

18:24    9:12

Answer:

24 is your answer

Step-by-step explanation:

18 : x = 9 : 12

You are solving for x. First, simplify the ratio on the right side.

(9/3) : (12/3) = 3 : 4

Next, solve for x. Multiply. Remember that what you do to the numerator, you do to the denominator.

3 : 4 = 18 : x

3 (6) : 4 (6) = 18 : x

Simplify

18 : 24 = 18 : x

x = 24

24 is your answer

~

Answer:

A. 18.25

Step-by-step explanation:

After you do the multiplications, the problem is

... (56 +90)/8 = 146/8 = 18.25

_____

The division bar is a grouping symbol, equivalent to parentheses around both numerator and denominator. You must evaluate the numerator before you can divide by the denominator, which also must be evaluated before that division.

We know that , According to Pythagorean Theorem :

In a Right Angled Triangle :

✿  (Hypotenuse)² = (First Leg)² + (Second Leg)²

In the Figure : AC is the Hypotenuse and AB and BC are Two Legs

Given : Length of AB = 4 and Length of BC = 6

⇒ (AC)² = (AB)² + (BC)²

⇒ (AC)² = 4² + 6²

⇒ (AC)² = 16 + 36

⇒ (AC)² = 52

[tex]\mathsf{\implies AC = \sqrt{52}}[/tex]

[tex]\mathsf{\implies AC = 2\sqrt{13}}[/tex]

3rd Option is the Answer

Answer:

   = -sqrt(2)

Step-by-step explanation:

tan theta = -1

we know tan = opposite/ adjacent

So opposite/adjacent = -1

Multiply by adjacent on each side

opposite = - adjacent

We also know from pythagorean theorem that

opposite ^2 + adjacent ^2 = hypotenuse ^2

Substituting in for adjacent

opposite ^2 + (-opposite ) ^2 = hypotenuse ^2

opposite ^2 + opposite ^2 = hypotenuse ^2

2 opposite ^2 = hypotenuse ^2

 Taking the square root on each side

sqrt(2 opposite ^2)   =  sqrt(hypotenuse ^2)

sqrt(2) opposite = hypotenuse

We are now set to find the sec

sec theta = hypotenuse / adjacent

               = sqrt(2) opposite/ adjacent

Replace the opposite = -adjacent

                 = sqrt(2) (-adjacent)/adjacent)

                 = -sqrt(2)

The value of secθ for 3π/ 2 < θ< 2π is √2. This is because tanθ is negative in Quadrant III and sec²θ = 1 + tan²θ. Therefore, secθ = √2.

Step 1: Determine the quadrant of θ

We know that 3π/ 2 < θ< 2π, which means that θ is in Quadrant III. In Quadrant III, tanθ is negative and secθ is positive.

Step 2: Use the identity sec²θ = 1 + tan²θ to solve for secθ

The identity sec²θ = 1 + tan²θ can be used to solve for secθ given tanθ. Substituting tanθ = -1 into the identity, we get:

sec²θ = 1 + (-1)² = 2

Taking the square root of both sides, we get:

secθ = √2

Therefore, the value of secθ for 3π/ 2 < θ< 2π is √2.

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[tex]\$\,\boxed{5565}[/tex]

The tax is 5% of the cost of the motorcycle, so the cost of the motorcycle is found by ...

... tax = 5% × (motorcyle price)

... (motorcycle price) = tax/5% = 20×tax

Then the total cost is ...

... total cost = (motorcylce price) + tax = (20×tax) + tax

... total cost = 21 × tax = 21 × $265

... total cost = $5565

Answer:

y = -2.8x +69.4

Step-by-step explanation:

Let y represent units of inventory, and x represent days since the last replenishment. We are given points (x, y) = (3, 61) and (13, 33). The line through these points can be described using the 2-point form of the equation of a line:

... y -y1 = (y2-y1)/(x2 -x1)(x -x1)

Filling in the given point values, we have ...

... y -61 = (33 -61)/(13 -3)(x -3)

Simplifying and adding 61, we get ...

... y = -2.8x +69.4

Answer:

[tex]\dfrac{mn^5}{p^4}[/tex]

Step-by-step explanation:

As with dividing any fractions, invert the denominator and multiply. Use the rules of exponents to combine factors.

[tex]\dfrac{\dfrac{m^2n^3}{p^3}}{\dfrac{mp}{n^2}}=\dfrac{m^2n^3}{p^3}\cdot\dfrac{n^2}{mp}\\\\=\dfrac{m^2n^3n^2}{p^3mp}=\dfrac{m^{2-1}n^{3+2}}{p^{3+1}}=\dfrac{mn^5}{p^4}[/tex]

_____

The applicable rules are ...

[tex]a^ba^c=a^{b+c}\\\\\dfrac{a^b}{a^c}=a^{b-c}[/tex]

Answer:

[tex]x=7.2\ units[/tex]

Step-by-step explanation:

we know that

In the right triangle of the figure

The tangent of angle of 67 degrees is equal to divide the opposite side to the angle of 67 degrees (17 units) by the adjacent side to angle of 67 degrees (x units)

[tex]tan(67\°)=17/x[/tex]

Solve for x

[tex]x=17/tan(67\°)[/tex]

[tex]x=7.2\ units[/tex]

After 5 years, the resale value of the laptop will be approximately $592.

The resale value of the laptop after each year can be calculated by multiplying the previous year's value by 0.75. Starting with the initial value of $2500, the resale value after 5 years can be found by multiplying $2500 by 0.75 five times. Let's calculate:

Therefore, the resale value of the laptop after 5 years will be approximately $592.

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f(x) = 8·1.25^x

An exponential function has the form ...

... f(x) = a·b^x

Then f(0) = a. Your graph shows f(0) = 8.

The base "b" can be found from any other point on the graph. You have marked the point (1, 10), so we can find "b" from ...

... f(1) = 10 = 8·b^1 = 8b

... 10/8 = b = 1.25 . . . . . . . divide by the coeffiicient of b

Now, we know the exponential function is ...

... f(x) = 8·1.25^x

Answer:

The correct answer is f(x) = 8·1.25^x

Step-by-step explanation:

Answer:

This question is not as hard as it seems.

Let the first number = x.

The other number will be x - 16.

The sum of both the number is 52.

So, x+x-16 = 52

Which would simplify to 2x -16 = 52.

When I add 16 to both sides, it would give me 2x = 68.

Then, divide both sides by 2.

This leaves us with x = 34.

Since we have x, now x-16 would be 34-16 = 18.

The two numbers are 34 and 18, this answer is correct because both of them add up to give me 52.

HOPE THIS HELPS!

Question

The sum of two numbers is 52 . The smaller number is 16 less than the larger number.What are the numbers?

Answer:

18 and 34

Step-by-step explanation:

[(52 - 16) : 2] + 16 =

(36 : 2) + 16 =

18 + 16 =

34

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

Check

34 - 18 = 16

34 + 18 = 52

the answer is good

Answer:

325

Step-by-step explanation:

The number of adult tickets sold is half the total plus half the difference, so is ...

... (597 +53)/2 = 325

_____

You can write an equation for the number of adult tickets (a) as ...

... a + (a -53) = 597

... 2a = 597 +53 . . . . . simplify, add 53

... a = 650/2 = 325 . . divide by 2