You want to buy a hooded sweatshirt for $40. The tax is 8%. How much will you pay in total?

Answer:

\(\huge\boxed{Answer\hookleftarrow}\)

Given,

Diameter (d) = 20 ft

Radius (r) = ?

\(r = \frac{d}{2} \\ r = \frac{20}{2} \\ r = 10 \: \: ft\)

____________________

Now, we've to find the exact circumference (c) ..

\(c = 2\pi \: r \\ c = 2\pi \times 10 \\ c = 20\pi ft\)

⎆ The answer is \(\large\bold{20π \ ft (option \ C)}\)

____________________

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

the curvature of the given curve is \(κ(t) = 3 / √10.\)

What is Tangent?

Tangent refers to a geometric concept that describes a line or plane that touches a curve or surface at a single point, without crossing or intersecting it at that point. The tangent line or plane has the same slope or direction as the curve or surface at the point of contact.

(a) To find the unit tangent and unit normal vectors T(t) and N(t), we need to differentiate the given vector function r(t) = (t, 3cos(t), 3sin(t)) with respect to t.

Unit Tangent Vector (T(t)):

The unit tangent vector T(t) is obtained by dividing the derivative of r(t) by its magnitude.

\(r'(t) = (1, -3sin(t), 3cos(t))\)[Differentiating each component of\(r(t)]| r'(t) | = √(1^2 + (-3sin(t))^2 + (3cos(t))^2) = √(1 + 9sin^2(t) + 9cos^2(t)) = √(10)\)

\(T(t) = r'(t) / | r'(t) | = (1/√10, -3sin(t)/√10, 3cos(t)/√10)\)

Unit Normal Vector (N(t)):

The unit normal vector N(t) can be obtained by differentiating T(t) and dividing it by its magnitude.

\(T'(t) = (0, -3cos(t), -3sin(t))\) [Differentiating each component of T(t)]

\(| T'(t) | = √(0^2 + (-3cos(t))^2 + (-3sin(t))^2) = √(9cos^2(t) + 9sin^2(t)) = 3\)

\(N(t) = T'(t) / | T'(t) | = (0, -3cos(t)/3, -3sin(t)/3) = (0, -cos(t), -sin(t))\)

(b) Curvature:

The curvature of a curve is given by the formula:

\(κ(t) = | T'(t) | / | r'(t) |\)

Substituting the values we found earlier:

κ(t) = | T'(t) | / | r'(t) | = 3 / √10

Therefore, the curvature of the given curve is κ(t) = 3 / √10.

To know more abouut Tangent visit:

https://brainly.com/question/4470346

#SPJ4

The experimental probability that the first slice sold during lunch tomorrow will be a slice of pepperoni pizza is approximately 0.263

The experimental probability is found by dividing the number of times the desired outcome occurred by the total number of trials. In this case, the desired outcome is selling a slice of pepperoni pizza as the first slice tomorrow.

Since we only know the number of slices sold today, we don't have any specific information about the number of slices that will be sold tomorrow. However, we can assume that the same types of pizzas will be sold tomorrow, and the probability of selling a slice of pepperoni pizza tomorrow will be the same as the proportion of pepperoni slices sold today.

So, the experimental probability that the first slice sold during lunch tomorrow will be a slice of pepperoni pizza is

Experimental probability = Number of pepperoni slices sold today / Total number of slices sold today

Experimental probability = 20 / 76

Experimental probability = 0.263

Learn more about Experimental probability here

brainly.com/question/30694293

#SPJ4

Answer: 38

Step-by-step explanation:

Subtract 1/8 from 1/2

12 - 18 is 38.

Steps for subtracting fractions

Find the least common denominator or LCM of the two denominators:

LCM of 2 and 8 is 8

Next, find the equivalent fraction of both fractional numbers with denominator 8

For the 1st fraction, since 2 × 4 = 8,

12 = 1 × 42 × 4 = 48

Likewise, for the 2nd fraction, since 8 × 1 = 8,

18 = 1 × 18 × 1 = 18

Subtract the two like fractions:

48 - 18 = 4 - 18 = 38

Answer:

q=8/5 r

Step-by-step explanation:

Step 1: add -3q to both sides

-7q+12r+-3q=3q-4r+-33

-10q+12r=4r

Step 2: Add -12r to both sides

-10q+12r+-12r=-4r+-12r

-10q=-16r

Step 3: Divide both sides by -10.

-10q/-10=-16r/-10

q=8/5r

Answer:

You have to draw a graph.

Step-by-step explanation:

Multiply all of your sides together to figure out the area then plot the points.

The value of the algebraic expression 11.5x + 10.9y  at x = 6 and y = 7 is 145.3

What is an algebraic expression?

Algebraic expression consists of variables and numbers connected with addition, subtraction, multiplication and division

The given algebraic expression is 11.5x + 10.9y

We have to find the value of the algebraic expression at x = 6 and y = 7

Putting x = 6 and y = 7 in the algebraic expression,

\(11.5 \times 6 + 10.9 \times 7\)

69 + 76.3

145.3

To learn more about algebraic expression, refer to the link-

https://brainly.com/question/2164351

#SPJ1

The probability that it will NOT rain on any of the three days is 1/27 is the answer.

Given, the probability of raining on each day is 2/3 and the probability of not raining on each day is 1/3.

As we need to find the probability that it will NOT rain on any of the given days, the required probability can be given as- Probability of not raining on a day = 1 - Probability of raining on that day = 1 - 2/3 = 1/3

The probability of not raining on any of the given three days can be found by multiplying the probability of not raining on each day.

As the given three days are independent events, the probability of not raining on any of the given three days can be given as:

P (not raining on any day) = P (not raining on day 1) × P (not raining on day 2) × P (not raining on day 3)= 1/3 × 1/3 × 1/3 = 1/27

Therefore, the probability that it will NOT rain on any of the three days is 1/27.

know more about probability

https://brainly.com/question/31828911

#SPJ11

Answer:

1 is 3/6

Step-by-step explanation:

to make it equal times 1/3 times 2 to make 2/6 so yo will be able to do the equation

Answer:

23 matchboxes

Step-by-step explanation:

I think you mean "how many boxes are needed to hold 1104 matches?"

This is a division problem.

1104/48 = 23

Answer: 23 matchboxes

Answer:

i have the same doubt

Step-by-step explanation:

Answer:

-20 & -1

Step-by-step explanation:

-20+-1=-21

-20*-1=20

Answer:

f+g)(x) = f(x) +g(x)

.. = (x^2-36) +(x^3+2x^2-10)

.. = x^3 +3x^2 -46

Step-by-step explanation:

Answer:

Domain: { all real values}

Step-by-step explanation:

3x + y = 4

This is a line

The domain is all possible values for x

X can range from negative infinity to infinity

Domain: { all real values}

Since, the length of one side of the pennant is 3 feet longer than the length of the other side. Therefore, the length, in feet, of the two sides of the pennant are 9 inches and 3 inches.

Hypotenuse:

The hypotenuse is the longest side of a right triangle, opposite the right angle. The length of the hypotenuse can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Pythagorean Theorem:

In mathematics, the Pythagorean Theorem or Pythagorean Theorem is the fundamental relationship in Euclidean geometry between the three sides of a right triangle. It states that the area of ​​a square whose side is the hypotenuse (opposite the right angle) is equal to the sum of the areas of the squares on the other two sides. This theorem can be written as an equation for the lengths of sides a, b and hypotenuse c, often called the Pythagorean equation:

                                       a²+ b² = c²

According to the Question:

Now, By the Pythagorean Equation:

x²+(x - 3)² = 15²

x²+ x²-6x+9 = 225

2x²- 6x+ 9 - 225 = 0

2x²- 6x- 216 = 0

divide both sides by 2

x²- 3x- 108 =0

factor

(x- 9)(x+ 12)=0

x - 9 = 0

x = 9 inches

x- 3 = 3 inches

x and x- 3 are the legs and the hypotenuse is 15 inches

Learn more about Length:

https://brainly.com/question/29868754

#SPJ4

Answer:

10

Step-by-step explanation:

Answer:

13 minutes

Step-by-step explanation:

Okay so you take 100 divided by 4 which would be 25

so that means she finishes 25 questions per minute

so, then you take every hundred (there's 3) and you divide that by 4

then you'd get 4 times 3 which would be 12 and then you add an extra minute with the remaining 25

the answer would be 13 minutes!

Answer:

Step-by-step explanation:

Solve by ratios:

The probability that the coin lands on heads (3-√3)/6.

For the given question;

Let x represent the likelihood of flipping heads. As a result, the probability of tossing tails is (1-x).

The probability of tossing two heads and two tails is equivalent to the number of aspects to flip it multiplied by the product of a probabilities of each coin flip.

6x²(1 - x)² = 1/6

On solving,

x²(1 - x)² = 1/36

Taking square root both sides.

x(1 - x) = ±1/6

Because both x and (1-x) seem to be non negative for the preferred probability x, we only need to take into account the positive root.

x(1 - x) = 1/6

Re arranging.

6x² - 6x + 1 = 0

Find the roots of the quadratic equation using the quadratic formula as;

(3±√3)/6

Using the quadratic formula, the roots of the this equation are (3±√3)/6.

Thus, as the probability of heads becomes less than half, the answer is (3-√3)/6.

To know more about the probability, here

https://brainly.com/question/13604758

#SPJ4

Answer:

Cost of 3 pounds:

5.25(3)−4.75=11

Cost of p pounds:5.25p-4.75

5.25p−4.75

Step-by-step explanation:

Since 1 pound of apples costs $5.25, 3 pounds of apples would cost $5.25 5.25×3 or $15.75. The coupon would save $4.75, so the final cost is $15.75-$4.75 or $11.

Cost of 3 pounds:

5.25(3)−4.75=11

Cost of p pounds:5.25p-4.75

5.25p−4.75

Y-intercept(b)= 10

equation wasnt written in the correct order so b is 10

The perimeter of one of the triangles is 28 inches.

In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.

From the given information the diagonal of the rectangle will be,

d = √(12² + 3.5²)

d = √(144 + 12.25).

d = √156.25.

d = 12.5.

We know, Perimeter is the sum of the lengths of all the sides.

Therefore, P = 12.5 + 12 + 3.5 inches.

P = 28 inches.

learn more about Pythagoras's theorem here :

https://brainly.com/question/426613

#SPJ1

A system of linear equation in two variables can be solved for at least two equations. The system of equations that could be used to determine the number of pounds of apples sold and the number of pounds of raspberries sold are x + y = 180 and 1.75x + 1.25y = 124.50.

A system of linear equation can be defined as a number of equations needed to solve the equations. For n number of variables n number of equations are required.

Given,

Rate of Apple is $1.75/pound.

Rate of raspberries is $1.25/pound.

Suppose the amount of apple be x pound.

And, the amount of raspberries be y pound.

As per the question total amount of apple and raspberries is 180 pound,

And, the total earning is $124.50.

Then, the system of equations can be written as,

x + y = 180

1.75x + 1.25y = 124.50.

Hence, two equations can be derived for the given situations which are x + y = 180 and 1.75x + 1.25y = 124.50.

To know more about system of linear equations click on the following link

https://brainly.com/question/20379472

#SPJ1

Answer:  x + y = 180

1.75x + 1.25y = 124.50.

Hence, two equations can be derived for the given situations which are x + y = 180 and 1.75x + 1.25y = 124.50.

Step-by-step explanation:

Impossible to determine

As there is no excerpt provided in the question, it is impossible to determine and indicate the definitions, notations, theorems, proofs, and examples in the text. Therefore, kindly provide the excerpt so that the answer can be provided accordingly.

Learn more about Logical Structure

brainly.com/question/16787538

#SPJ11

The test light illuminates when the park light is probed, this indicates that the circuit is complete and that the light bulb is faulty.

When the alligator clip on a test light is placed on the negative battery post and the probe is then touched to both terminals of a park light that is turned on but not lighting, the test light lights up whenever either of the terminals is probed. What does this mean?A test light is a handy diagnostic tool for checking the operation of the electrical circuits in your vehicle, such as a car or truck. It's particularly useful in situations where the circuit can't be tested using a multimeter. A test light works by completing a circuit with a source of voltage through a filament bulb. This indicates that the circuit being tested is complete. If the circuit is open, the light will not illuminate.The test light is placed on the negative battery post to complete the circuit. Whenever either of the terminals is probed, the test light illuminates. This indicates that the circuit is complete, which means that the light bulb is faulty. The test light will illuminate if the circuit is complete. A test light can be used to verify the presence of voltage on a wire or connector without the need for a voltmeter to measure the voltage level.

for more search question probed

https://brainly.com/question/30663265

#SPJ8

Answer:

\( \frac{ - 300}{49} \)

or -6.122

Step-by-step explanation:

In answering this kind of questions, you must take note of BODMAS. that is;

B - Bracket

O - Of (multiplication)

D - Division

M - Multiplication

A - Addition

S - Subtraction

and you have to answer by the order above to get the correct answer. thank you

hope it helps .

Answer:

-6 176/189

Step-by-step explanation:

-8÷+12×9-4×6÷56÷7×2​=

-8÷108- 24÷56÷14=

-2/27-24×14÷56=

-2/27- 48/7=

-7 + 1/7- 2/27=

-7 + (27-14)/27*7=

-7+ 13/189=

-6 176/189

Answer:

Deandra completed the first 6 problems at a rate of 3 problems per hour and the last 12 at a rate of 4 problems per hour.

Step-by-step explanation:

The reason for this is because she spent 2 hours on 6 problems and 6 divided by 2 (6/2) equals 3. So if we think about it, she answers the last 12 problems in 3 hours, so when divide 12 by 3 (12/3) we end up getting 4. So in conclusion, she completed the last 12 problems at a rate of 4 problems per hour.

Answer:

Deandra completed the first 6 problems at a rate of 3 problems per hour and the last 12 at a rate of 4 problems per hour.

Step-by-step explanation:

Step-by-step explanation:

The acceleration of the car with the given data would be [8.57] m/s². If the applied force were cut in half, I predict the acceleration would be [4.285] m/s².

Acceleration is calculated using the formula a = (v₂ - v₁) / (t₂ - t₁), where v₁ and v₂ are the initial and final velocities respectively, and t₁ and t₂ are the corresponding times. In the given table, the initial velocity is 0.13 m/s, the final velocity is 0.36 m/s, the time to travel 0.25 meters is 1.92 seconds, and the time to travel 0.5 meters is 2.61 seconds. By substituting these values into the acceleration formula, we find that the acceleration is approximately 8.57 m/s².

If the applied force is cut in half, it would result in a reduced net force acting on the car. According to Newton's second law of motion, F = ma, where F is the net force, m is the mass of the object, and a is the acceleration. If the force is halved while the mass remains constant, the resulting acceleration will also be halved. Therefore, I predict that the acceleration would be approximately 4.285 m/s² when the applied force is reduced by half.

Learn more about approximation here: brainly.com/question/29669607

#SPJ11

The length of the best that is with the contact of rim of the pulley is (5/18)π cm.

The shaded region is 10√5 - (5/18)π cm.

To find the length of the belt that is in contact with the rim of the pulley, we need to find the length of the arc of the circle with radius 5 cm that is between the points O and P.

The circumference of a circle with radius 5 cm is 2πr = 10π cm. So the fraction of the circle between O and P is 10/360 = 1/36 of the total circumference. Therefore, the length of the arc OP is (1/36) x 10π = (5/18)π cm.

To find the shaded region, we need to subtract the length of the belt in contact with the pulley from the length of the belt pulled to point P.

The belt pulled to point P is the hypotenuse of a right triangle with legs 5 cm (the radius of the pulley) and 10 cm (the distance from the center of the pulley to point P). Using the Pythagorean theorem, we can find the length of the belt pulled to point P:

h² = 5² + 10²

h² = 125

h = √125 = 5√5 cm

So the length of the belt pulled to point P is 2(5√5) = 10√5 cm.

Therefore, the length of the shaded region is 10√5 - (5/18)π cm. This is the length of the part of the belt that is not in contact with the pulley.

Learn more on pulley here: https://brainly.com/question/14196937

#SPJ1

The volume of the tetrahedron enclosed by the coordinate planes and the plane 4x + y + z = 5 is 25/4 cubic units.

To find the volume of the tetrahedron enclosed by the coordinate planes and the plane 4x + y + z = 5, we can set up a triple integral over the region that represents the tetrahedron.

First, let's find the bounds of integration for each variable.

The coordinate planes bound the tetrahedron in the positive octant, so we have:

0 ≤ x

0 ≤ y

0 ≤ z

Next, we find the bounds for each variable based on the equation of the plane:

4x + y + z = 5

Solving for z, we get:

z = 5 - 4x - y

Substituting the bounds for x and y, we have:

0 ≤ x ≤ (5 - y) / 4

0 ≤ y ≤ 5

Now, we can set up the triple integral to calculate the volume:

V = ∭ dV

where dV represents an infinitesimal volume element.

The integral is taken over the region defined by the bounds of x, y, and z:

V = ∫₀⁵ ∫₀⁽⁵⁻ʸ⁾/₄ ∫₀ᵛ dxdydz

where the limits of integration for each variable are as defined above.

Evaluating the integral:

V = ∫₀⁵ ∫₀⁽⁵⁻ʸ⁾/₄ ∫₀ᵛ 1 dx dy dz

Integrating with respect to x gives:

V = ∫₀⁵ ∫₀⁽⁵⁻ʸ⁾/₄ (x) ∣₀ᵛ dy dz

Simplifying:

V = ∫₀⁵ ∫₀⁽⁵⁻ʸ⁾/₄ (5 - y) / 4 dy dz

Integrating with respect to y gives:

V = ∫₀⁵ [(5 - y) / 4] ∣₀⁽⁵⁻ʸ⁾/₄ dz

Simplifying:

V = ∫₀⁵ [(5 - (5 - y) / 4) / 4] dz

V = ∫₀⁵ [(5 - 5 + y) / 4] dz

V = ∫₀⁵ (y / 4) dz

V = (1 / 4) ∫₀⁵ y dz

Integrating with respect to z gives:

V = (1 / 4) [(y * z) ∣₀⁵]

Simplifying:

V = (1 / 4) (y * 5)

V = (5 / 4) y

Now, we can evaluate the remaining integral by substituting the upper limit of integration:

V = (5 / 4) * 5

V = 25 / 4

Therefore, the volume of the tetrahedron enclosed by the coordinate planes and the plane 4x + y + z = 5 is 25/4 cubic units.

Learn more about Volume here

https://brainly.com/question/17203772

#SPJ4

To conduct the survey and collect information on environmental issues from 50 individuals, you can follow these steps.

1. Prepare a questionnaire on environmental issues: Water depletion, soil degradation, biodiversity, wells, afforestation, chemical fertilizers.

2. Approach 50 individuals for opinions on environmental issues.

3. Record responses and compile data from interviews or surveys.

4. Create a double bar graph with issues on the horizontal axis.

5. Use side-by-side bars for "Agree" and "Disagree" responses.

6. Label the graph with title, axes, and legend.

7. Use colors or patterns to differentiate bars for clarity.

1. Prepare a questionnaire with the list of environmental issues mentioned  -  Depletion in water , Soil degradation , Biodiversity , Construction of Wells , Afforestation , and Chemical Fertilizers.

2. Approach 50 individuals , either through in-person interviews , online surveys , or any other suitable method , and ask them to mark their answers as "Agree" or "Disagree" for each environmental issue.

3. Record the responses for each individual and compile the data.

4. Once you have the data , create a double bar graph to represent the information. Use the horizontal axis to represent the environmental issues (e.g. , Depletion in water , Soil degradation , etc.) , and the vertical axis to represent the count or percentage of respondents.

5. Create two bars side by side for each environmental issue , one representing the count or percentage of individuals who agreed and the other representing those who disagreed.

6. Label the graph appropriately , including a title , axis labels , and a legend to differentiate between the "Agree" and "Disagree" bars.

7. Use different colors or patterns to make the bars visually distinguishable.

Learn more about surveys:
https://brainly.com/question/14610641
#SPJ1