Jamar cut a large circle out of vinyl to use as a cover
for the top of a cylinder. The circumference of the
vinyl circle is 24 inches. What is the area of the vinyl
circle to the nearest hundredth of a square inch?

Answer:

The answer in mixed fraction form is \(9\frac{15}{17}\)

Step-by-step explanation:

Conclusion:

Therefore, the answer in mixed fraction form is \(9\frac{15}{17}\)

Hoped this helped.

\(BrainiacUser1357\)

Answer: X= 9 over 2

I think this is the right answer

sorry if it is not

Answer:

12+ (-6) + (-2)

Step-by-step explanation:

Take the amount of money she started with and subtract the purchases

12 - 6 -2

If we want to use addition, add the opposite

12+ (-6) + (-2)

Answer:

y o = 2 sin ( π/6 ) = 2 * 1/2 = 1

x o = π / 6

y ` = 2 cos x = 2 cos (π/6) = 2 * √3 / 2 = √ 3;

m = √3

An equation of the tangent line is:

y - y o = m ( x - x o )

Answer:

y - 1 = √3 ( x - π/6 )

Step-by-step explanation

please give me brainliest     hope it helps

A)the mass of $700 billion worth of gold is approximately 24,822,695,035.5 grams. B)The actual length will depend on the exact density of gold and the accuracy of the provided values.

A) In order to calculate the mass of $700 billion worth of gold, we need to convert the dollar value into grams.

To do this, we first need to determine the price of gold per gram. Given that gold was worth $800 per ounce ($28.20 per gram), we can use this conversion factor to calculate the mass.

$800 per ounce is equivalent to $28.20 per gram. Therefore, 1 gram of gold is worth $28.20.

Next, we can divide the total dollar value ($700 billion) by the value of 1 gram of gold ($28.20) to find the mass in grams.

$700 billion / $28.20 per gram = 24,822,695,035.5 grams

So, the mass of $700 billion worth of gold is approximately 24,822,695,035.5 grams.

B)Moving on to the second part of the question, if this amount of gold were in the shape of a cube, we need to calculate the length of each side of the cube.

To find the length, we can use the formula for the volume of a cube, which is side length cubed. Since we know the mass of the gold (24,822,695,035.5 grams), we need to calculate the side length.

Let's assume the density of gold is 19.32 grams per cubic centimeter (g/cm³). By dividing the mass of the gold (24,822,695,035.5 grams) by the density (19.32 g/cm³), we can find the volume of the gold in cubic centimeters.

Volume = Mass / Density = 24,822,695,035.5 g / 19.32 g/cm³

By solving this equation, we can find the volume of the gold.

Finally, we can use the volume of the gold to calculate the length of each side of the cube by taking the cube root of the volume.

This will give us the length of each side of the cube formed by the given amount of gold.

The actual length will depend on the exact density of gold and the accuracy of the provided values. The above calculation is an example based on the given information.

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Answer:

B

Step-by-step explanation:

B

The functions which are graphed below are  1-2x51 1.4.> 1, the correct option is D.

For a solution to be solution to a system, it must satisfy all the equations of that system, and as all points satisfying an equation are in their graphs, so solution to a system is the intersection of all its equation at single point(as we need common point, which is going to be intersection of course)(this can be one or many, or sometimes none)

We are given that;

The graph of the function

Now,

Let’s apply these steps to your question. The given piecewise function has three pieces:

f (x) = {−2x, x < −1 −|x|, −1 ≤ x ≤ 1 2−x2, x > 1 f ( x) = { − 2 x , x < − 1 − | x | , − 1 ≤ x ≤ 1 2 − x 2 , x > 1

The first piece is a linear function with slope -2 and y-intercept 0. It is defined for all values of x less than -1. To graph this piece, we can use two points: (-2,4) and (-1,-2). We use an open circle at (-1,-2) because this point is not included in this interval.

The third piece is a quadratic function with vertex at (0,2). It is defined for all values of x greater than 1. To graph this piece, we can use three points: (0.5, 3/4), (1,0), and (2,-2). We use an open circle at (0.5,3/4) because this point is not included in this interval.

The final graph looks like this:

To find which option matches the given graph, we can compare their equations with the given pieces.

Option A has f(x) = -|x| when -∞ < x < ∞. This does not match any of the pieces.

Option B has f(x) = -|x| when -∞ < x ≤ -3 or -3 < x ≤ ∞. This does not match any of the pieces.

Option C has f(x) = -|x| when -∞ < x ≤ ∞. This matches only one of the pieces.

Option D has f(x) = {−2x,x<−12−x,x≥−12 f(x)=−2xx<−12−xx≥−12​ . This matches none of the pieces.

Therefore, by the given graph the answer will be  1-2x51 =1.4.> 1

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Answer:

C

Step-by-step explanation:

The slope formula is y^2 - y^1 over x^2 - x^1    

hope this helps!

also the answer is just the inverse of that answer

The angle formed at corresponding locations between lines  \(\overline{PR}\) and \(\overline {TQ}\)

and the common transversal \(\overline {WV}\) are corresponding angles.

The statements that support Susan's predictions are;

Reason:

The given measures of ∠TQR are;

In figure 1, m∠TQR = 145°

In figure 2, m∠TQR = 140°

In figure 3, m∠TQR = 135°

Therefore, we have the following sequence;

145°, 140°, 135°

From the above sequence, we have that each subsequent term, is less

than the previous one by 5 degrees, therefore on figure 4, we have;

Figure 4, m∠TQR = 135° - 5° = 130°

Therefore, on figure 4, we get;

m∠PRV and m∠TQR are corresponding angles

m∠PRV = 130° = m∠TQR

Which gives;

m∠PRV ≅ m∠TQR by definition of congruency

Therefore;

\(\overline{PR} \cong \overline {TQ}\) by corresponding angles theorem.

Corresponding angles theorem states that if two lines that are parallel have

a common transversal cutting both lines, the corresponding angles formed

are congruent.

Therefore, the statements that support Susan's prediction are;

On figure 4;

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Answer:

$36 off

Step-by-step explanation:

$60 x 0.60 = 36

if you need the total cost of the item just 60 - 36 = 24

so you get $36 off of 60

and the new cost would be $24

       a) To construct a stem-and-leaf plot for the given data, we separate each number into its stem (tens digit) and leaf (units digit). The plot would look as follows:

Stems:
1 | 9
2 | 5 5 6 7
3 | 0 1 1 1 2 2 4 5 6
4 | 2 2 2 4
5 | 2 4
6 | 2

The plot shows the frequency distribution of goals scored by Jagr in each season.

b) To determine the percentage of seasons where greater than 35 goals were scored, we count the number of seasons where the goal count exceeds 35, which is 14 out of the total 19 seasons. Therefore, the percentage is (14/19) * 100 ≈ 73.68%.

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Answer:  44 empty spaces

Step-by-step explanation:

(4)*(15) = 60 spaces for bikes.

60 - 16 = 44 remaining spaces.

The value of x that satisfies both congruence equations is x ≡ 12 (mod 406). To find a single x that satisfies both congruence equations, we can use the Chinese Remainder Theorem. First, let's set up the congruence equations:

5x ≡ 1 (mod 29)    ...(1)
9x ≡ 2 (mod 14)    ...(2)
To use the Chinese Remainder Theorem, we need to find the modular inverses of the moduli. In equation (1), the modulus is 29, so we need to find the modular inverse of 5 modulo 29. The modular inverse of 5 modulo 29 is 6, since (5 * 6) % 29 = 1.
Similarly, in equation (2), the modulus is 14, so we need to find the modular inverse of 9 modulo 14. The modular inverse of 9 modulo 14 is 11, since (9 * 11) % 14 = 1.
Now, let's use the Chinese Remainder Theorem to find x. Multiply equation (1) by 14 and equation (2) by 29:
70x ≡ 14 (mod 29)   ...(3)
261x ≡ 58 (mod 14)  ...(4)
Since 70x ≡ 14 (mod 29) is equivalent to 12x ≡ 14 (mod 29), and 261x ≡ 58 (mod 14) is equivalent to 3x ≡ 2 (mod 14), we can simplify equations (3) and (4) as follows:
12x ≡ 14 (mod 29)   ...(5)
3x ≡ 2 (mod 14)     ...(6)
Now, we can find x by using the modular inverses we found earlier. Multiply equation (5) by 11 and equation (6) by 6:
132x ≡ 154 (mod 29)    ...(7)
18x ≡ 12 (mod 14)     ...(8)
Simplifying equations (7) and (8):
x ≡ 3 (mod 29)    ...(9)
x ≡ 2 (mod 14)    ...(10)
Now, we have a system of congruence equations (9) and (10). By applying the Chinese Remainder Theorem, we can combine these equations to find the value of x.
To solve the system of congruence equations (9) and (10), we can use the formula:
x ≡ a * N * y + b * M * z (mod N * M)

Where a = 3, b = 2, N = 29, M = 14, y = 14^(-1) ≡ 14 (mod 29), and z = 29^(-1) ≡ 15 (mod 14).
Plugging in the values:
x ≡ 3 * 29 * 14 + 2 * 14 * 15 (mod 29 * 14)
x ≡ 1224 + 420 (mod 406)
x ≡ 1644 (mod 406)
Finally, finding the smallest positive integer solution:
x ≡ 1644 ≡ 12 (mod 406)
Therefore, the value of x that satisfies both congruence equations is x ≡ 12 (mod 406).

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Step-by-step explanation:

8²+10²= x²

64+100 =x²

164=x²

√164=√x²

square and squre root do cancel each other

x=√164

hope this helps

Answer:

x = \(\sqrt{164\)

Step-by-step explanation:

In order to find the hypotenuse of a right triangle, you have to add,

\(8^{2} + 10^{2}\)

which simplifies to,

64 + 100 =

\(\sqrt164\)

Hope this helps! :)

Answer:

24

Step-by-step explanation:

Hi hi ok so heres how you do this:

This is a right triangle cause of the lil' red angle indication.

So, we use Pythagorean theorem.

a^2+b^2=c^2

Now, we have a and c(or b and c. A and B are interchangeable)

10^2+b^2=26^2

100+b^2=676

676-100=576

Now, square root of 576 is 24.

the other leg is 24

Answer:

25 cm

Step-by-step explanation:

Using the Pythagorean Theorem (a^2+b^2=c^2 FOR RIGHT TRIANGLES ONLY), you see that 10^2+b^2=26^2, and the answer is b=25 cm.

BTW=10, 25, 26 is a pythagorean triple

Answer:

slope m = - 8

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y + 3 = - 8(x - 4) ← is in point- slope form

with slope m = - 8

The slope is :

Solution:

Given: \(\bf{y+3=-8(x-4)}\)

To determine the slope, it's important to know the form of the equation first.

There are 3 forms that you should be familiar with.

The three forms of equations of a straight line are:

This equation matches point slope perfectly.

The question becomes, how do you work with point slope to find slope?

In point slope, m is the slope and (x₁, y₁) is a point on the line.

Similarly, the slope of \(\bf{y+3=-8(x-4)}\) is -8.

Given exponential expression is 1.05^(-3/i).

We can simplify this expression as follows:

1.05^(-3/i)

= [1 / (1.05^(3/i))]

= [1 / ((1.05^3)^(1/i))]

= [1 / (1.157625^(1/i))]

= 1.157625^(-1/i)

Thus, the given exponential expression is equivalent to 1.157625^(-1/i).

Since we don't know the value of i, we cannot find the exact value of the given exponential expression. However, we can evaluate the expression for some values of i.

For example, if we put i = 2, then 1/i = 1/2 = 0.5, and hence:

1.157625^(-1/i)

= 1.157625^(-1/2)

= 0.968

Therefore, the answer is option d. 0.968.

Note: We cannot evaluate the expression for i = 0 or any negative value of i because the expression will become undefined.

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Solve the equation for

x

by finding

a

,

b

, and

c

of the quadratic then applying the quadratic formula.

Exact Form:

x

=

−

3

±

√

6

3

Decimal Form:

x

=

−

0.18350341

…

,

−

1.81649658

…

Answer:

2x^2x(x^+3x-2)

Step-by-step explanation:

Evaluating a limit along a finite number of paths does not prove the existence of a limit of a function of several variables because it is possible for a function to have different values at a point depending on the path taken to that point.

In order to prove the existence of a limit of a function of several variables, we need to show that the value of the function approaches the same value no matter which path we take to a particular point. If we only evaluate the limit along a finite number of paths, it is possible that we may miss paths that lead to different values of the function at that point.

For example, consider the function \($f(x,y) = \frac{x^2y}{x^2+y^2}$\). This function has a limit of 0 at the point (0,0). However, if we only evaluate the limit along the path \($y = mx, \ where \ m$\) is a constant, we will miss the path x = my, where m is a constant. Along this path, the function has a limit of 1 at the point (0,0). This shows that evaluating a limit along a finite number of paths does not prove the existence of a limit of a function of several variables.

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Reducing

30-30*0.3=

21

21+21*0.05=22.05

The average acceleration of Train A over the interval 2 ≤ t ≤ 8 is -40 meters per minute squared.

Explanation:

The average acceleration of a body over a given time interval is defined as the change in velocity divided by the time interval. In this case, we are given the velocity function vA(t) for Train A, and we want to find its average acceleration over the interval 2 ≤ t ≤ 8.

To find the change in velocity over this interval, we can subtract the velocity at t=2 from the velocity at t=8:

Δv = vA(8) - vA(2) = (-120) - 100 = -220 meters per minute

To find the time interval, we can subtract 2 from 8:

Δt = 8 - 2 = 6 minutes

Now we can use the formula for average acceleration:

a = Δv/Δt = (-220)/6 = -40 meters per minute squared

Therefore, the average acceleration of Train A over the interval 2 ≤ t ≤ 8 is -40 meters per minute squared.

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Answer:

48

Step-by-step explanation:

18% of 1500 is 270

270x18% is 48.6 since it increased by 18%

3x + 2 > x + 8

3x - x > 8 -2

2x > 6

x > 3

ok done. Thank to me  :>

Based on the two-tangent theorem, the value of x is calculated in the circle as: x = 2.

Based on the two-tangent theorem, if two tangents are drawn from a circle to meet each other at any point outside the circle, then the lengths of the tangents are congruent to each other, that is, they are equal.

Therefore, we would create the following equation based on the two-tangent theorem:

20x + 6 = 10x + 26

Combine like terms:

20x - 10x = -6 + 26

10x = 20

Divide both sides by 10:

10x/10 = 20/10

x = 2

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The problem can be solved using the simplex method, and the solution can be verified using the graphical method. The optimal solution is X1 = 6, X2 = 0, X3 = 6, Z = 24.

The problem can be solved using the simplex method, and verified using the graphical method. Here are the steps:

Convert the problem to standard form by introducing slack variables:
Min Z = -2X1 - 4X2 - 3X3 + 0S1 + 0S2 + 0S3
St. X1 + 3X2 + 2X3 + S1 = 30
X1 + X2 + X3 + S2 = 24
3X1 + 5X2 + 3X3 + S3 = 60
Xi, Si >= 0

Set up the initial simplex tableau:
| 1 3 2 1 0 0 30 |
| 1 1 1 0 1 0 24 |
| 3 5 3 0 0 1 60 |
| 2 4 3 0 0 0 0 |

Identify the entering variable (most negative coefficient in the objective row): X2

Identify the leaving variable (smallest ratio of RHS to coefficient of entering variable): S1

Pivot around the intersection of the entering and leaving variables to create a new tableau:
| 0 2 1 1 -1 0 6 |
| 1 0 0 -1 2 0 18 |
| 0 0 0 5 -5 1 30 |
| 2 0 1 -2 4 0 36 |

Repeat steps 3-5 until there are no more negative coefficients in the objective row. The final tableau is:
| 0 0 0 7/5 -3/5 0 18 |
| 1 0 0 -1/5 2/5 0 6 |
| 0 0 1 1/5 -1/5 0 6 |
| 0 0 0 -2 4 0 24 |

The optimal solution is X1 = 6, X2 = 0, X3 = 6, Z = 24.

To verify the solution using the graphical method, plot the constraints on a graph and find the feasible region. The optimal solution will be at one of the corner points of the feasible region. By checking the values of the objective function at each corner point, we can verify that the optimal solution found using the simplex method is correct.

In conclusion, the problem can be solved using the simplex method, and the solution can be verified using the graphical method. The optimal solution is X1 = 6, X2 = 0, X3 = 6, Z = 24.

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Answer:

3<2*x=5

Step-by-step explanation:

Hope this helped, Have a Wonderful Day/Night!!

( btw the astric means multiplication )

The unknown number will be equal to 4.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that three is less than the product of 2 and a number is equal to 5. The unknown number will be calculated as:-

2x - 3 = 5

2x = 5 + 3

2x = 8

x = 8 / 2 = 4

Therefore, the unknown number will be equal to 4.

The complete question is given below:-

Three less than the product of 2 and a number is equal to 5. Calculate the unknown number.

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