The line plot below shows the number of hours Mr. Jacobson spent writing for each of the last nine days.

Answer:

3.34.

Step-by-step explanation:

4.2 * 0.2 + 2.5

= 0.84 + 2.5

= 3.34.

Answer:

3.34

Step-by-step explanation:

the product is 4.2×0.2=0.84

add is 2.5 + 0.84=3.34

ans]=71

x-10=61

x=61+10

x=71

Answer:

D. 30.96 in²

Step-by-step explanation:

The area of the shaded region = area of the the square - area of the circle

= (s²) - (πr²)

s = 12 in

r = radius of circle = ½ of 12 in = 6 in

π = 3.14

Plug in the values into the equation

Area of the shaded region = (12²) - (3.14*6²)

= 144 - 113.04

= 30.96 in²

Answer: 2.44 miles.

Step-by-step explanation:Answer:

2.44 miles

Step-by-step explanation:

Give the following :

Average miles to school = 12 miles per hour

Average Miles from school = 15 miles per hour

Total ride time : ( time to school + time from school) = 22 minutes = (22/60) = 0.3667

Recall:

Speed = distance / Time

Time = distance / speed

Let distance = d

For the scenario described :

d/12 + d/15 = 0.3667

(5d + 4d) / 60 = 0.3667

5d + 4d = 22

9d = 22

d = 22/9

d = 2.44 miles

Answer:

A The first one

Answer:

A

Step-by-step explanation: 30 minutes is half an hour so 6 miles is half the miles he runs an hour. Azrael runs 12 miles in an hour. 15 minutes is 1/4 of an hour. 2 is 1/4 of the miles Simon runs in an hour. 2 times 4 is 8. I'm really bad at explaining, sorry. the answer is A.

Answer:

2.25.50

Step-by-step explanation:

it is simplified since 25 is not divisible by 2

Based on the number of pennies, nickels, and quarters, the number of different amounts of money that can be made are 42.

First, find out the number of ways to select the different amounts.

There are six pennies so there are 7 ways to collect them including:

(0 times, 1 time, 2, 3, 4, 5, 6)

There are 3 ways to collect nickels and there are two ways to collect quarters.

The number of different amounts of money that can be made are:

= 7 x 3 x 2

= 42 different amounts of money

Find out more on pennies at https://brainly.com/question/2874020

#SPJ1

Answer:

To Solve a System of Equations by Elimination

Write both equations in standard form. ...

Make the coefficients of one variable opposites. ...

Add the equations resulting from Step 2 to eliminate one variable.

Solve for the remaining variable.

Substitute the solution from Step 4 into one of the original equations.

here! ( happy hoildays!)

Line m, because if a mirror is placed on m, only one image will be truly reflected.

In mathematics, a line of reflection is a line along which each point in a shape appears at an equal distance just on opposite side.

As a result of this, we can conclude that

The line 'm' represents the reflection line.

The line 'p' represents the symmetry line.

The line 'n' represents the asymmetry line.

Therefore, line m is the line of reflection for the given figure.

To know more about the line of reflection, here

https://brainly.com/question/11081977

#SPJ9

data

First beam

w = 4 in

h = 6 in

l = 192 in

Second beam

w = 3 in

h = 5 in

l = 216 in

Formula

S = (w h^2) / l

Substitution

S = (4 * 6^2) / 216

Simplification

S = 144/216

Result

S = 2/3

Second beam

S = (3 *5^2)/216

Simplification

S = 75/216

Result

S = 25/72

Rule of three

2/3 ----------------------3950 pounds

25/72 ------------------ x

x = 2057 pounds

The second beam can hold 2057 pounds

9 es la nota minima (para aprobar) máxima tal que almenos el 10% de la clase apruebe el examen.

Hay 20 estudiantes, y un 10% debe aprobar el examen, es decir, almenos 2 estudiantes deben aprobar el examen.

Las notas de los 20 estudantes son:

{0, 4, 1, 0, 0, 7, 2, 1, 4, 0, 3, 9, 2, 0, 0, 4, 8, 1, 0, 9, 4}

Vemos que hay 2 estudiantes con la nota 9.

Esto significa que si el profesor define que la nota minima para aprobar el examen es 9, entonces dos estudiantes (el 10% de la clase) aprobaría el examen.

Entonces definimos 9 como la nota máxima tal que almenos el 10% de la clase apruebe el examen. (A medida que el valor de la nota decrese, el porcentaje de estudiantes aprobados incrementara).

Sí quieres aprender más sobre porcentajes:

https://brainly.com/question/24554492

#SPJ1

2. 5 degrees/ 360 degrees x 100

= 0.69 %

2.5 degrees in Radians = 0.0436332 Radians

The speed of the boat in still water (x) is 12 mph, and the speed of the current (y) is 9 mph.

To find the speed of the boat in still water and the speed of the current, let's follow these steps:

Step 1: Let x represent the speed of the boat in still water, and y represent the speed of the current. The speed downstream is (x + y) and the speed upstream is (x - y).

Step 2: Use the formula distance = time × speed to write two equations based on the given information.

Downstream: 9(x + y) = 189

Upstream: 63(x - y) = 189

Step 3: Simplify both equations:

Downstream: x + y = 21 (divide both sides by 9)

Upstream: x - y = 3 (divide both sides by 63)

Step 4: Solve the system of equations by adding the two simplified equations:

2x = 24

x = 12

Step 5: Plug the value of x back into either equation to solve for y:

12 + y = 21

y = 9

So, the speed of the boat in still water (x) is 12 mph, and the speed of the current (y) is 9 mph.

Learn more about distance here,

https://brainly.com/question/26046491

#SPJ1

Answer:

the answer is 337

Step-by-step explanation:

-5 + 280 + 62

= 337

Answer:

337

Step-by-step explanation:

-5 plus 280 is 275

275 + 62 is...

337

A sector is a part of a circle that is made up of two radii and an arc. The area of the given sector is 18.8 \(m^{2}\).

A sector is a part of a circle that is made up of two radii and an arc. It has a measure of the central angle.

The area of a sector can be determined by;

Area of a sector = (θ/ 360) * 2πr

Where θ is the central angle formed, and r is its radius.

In the given question, it can be observed that:

θ = 270, r = 4 m, and given that π = 3.14

Thus,

Area of the sector = (270)/ 360) * 2 * 3.14 * 4

                               = 0.75*2*3.14*4

                               = 18.84

Therefore, the area of the given sector is 18.8 \(m^{2}\).

For more clarification on the area of a sector, visit: https://brainly.com/question/16802755

#SPJ1

The radius of curvature of the curve \(a^{2y\)=x³-a³ at the point where the curve intersects the x-axis is 27\(a^{\frac{3}{2}\).

To find the radius of curvature of the curve \(a^{2y\)=x³-a³ at the point where the curve intersects the x-axis, we need to first find the equation of the curve and then determine the value of y and its derivative at that point.

When the curve intersects the x-axis, y=0. Therefore, we have:

a⁰ = x³ - a³

x³ = a³

x = a

Next, we need to find the derivative of y with respect to x:

dy/dx = -2x/(3a²√(x³-a³))

At the point where x=a and y=0, we have:

dy/dx = -2a/(3a²√(a³-a³)) = 0

Therefore, the radius of curvature is given by:

R = (1/|d²y/dx²|) = (1/|d/dx(dy/dx)|)

To find d/dx(dy/dx), we need to differentiate the expression for dy/dx with respect to x:

d/dx(dy/dx) = -2/(3a²(x³-a³\()^{\frac{3}{2}\)) + 4x²/(9a⁴(x³-a³\()^{\frac{1}{2}\))

At x=a, we have:

d/dx(dy/dx) = -2/(3a²(a³-a³\()^{\frac{3}{2}\)) + 4a²/(9a⁴(a³-a³\()^{\frac{1}{2}\)) = -2/27a³

Therefore, the radius of curvature is:

R = (1/|-2/27a³|) = 27\(a^{\frac{3}{2}\)

To learn more about radius of curvature click on,

https://brainly.com/question/31403088

#SPJ1

Bob can deduct a total of $2,210 on his Schedule C related to these expenses.

To determine the total amount Bob can deduct on his Schedule C related to these expenses, consider the specific categories that can be deducted. Based on the information provided, categorize the expenses as follows:

Course fees for continuing legal education: $1,400

Airfare and hotel room: $500

Meals provided by the hotel's restaurant: $300

Snacks from the newsstand: $10

To calculate the total amount that Bob can deduct, add up these expenses:

$1,400 + $500 + $300 + $10 = $2,210

Therefore, Bob can deduct a total of $2,210 on his Schedule C related to these expenses.

Find out more on deductible here: https://brainly.com/question/30349828

#SPJ1

Using the information in the given diagram, the value of the missing angle is: m∠1 = 75°

The transverse line theorem states that If two parallel lines are cut by a transversal, then corresponding angles are congruent. Two lines cut by a transversal are parallel IF AND ONLY IF corresponding angles are congruent.

Now, when we draw a horizontal line parallel to lines a and b and directly cutting across the vertex of angle 1, we can see that angle 1 will be composed of two angles.

Now, for the transverse line theorem we can say that:

Angle 1 will be composed of two angles namely:

48 degrees and (180 - 153) degrees.

Thus:

m∠1 = 48° + 27°

m∠1 = 75°

Read more about Missing Angle at: https://brainly.com/question/28293784

#SPJ1

Hi 

let call "a number" X.

then we have: 4-13X = X + 8 ..

The scale factor used is Option B: One fourth.

What is scale factor?

The scale factor of a shape refers to the amount by which it is increased or shrunk. It is applied when a 2D shape, such as a circle, triangle, square, or rectangle, needs to be made larger.

To find the scale factor, we can compare any corresponding side lengths between the original triangle and the dilated triangle.

Let's choose the longest side of triangle D, which is 5.2, and compare it to the longest side of triangle D′, which is x.

We know that a dilation multiplies all corresponding side lengths by the same factor, so -

scale factor = length of corresponding side in D′ / length of corresponding side in D

scale factor = x / 5.2

We don't have enough information to find x directly, but we can use the fact that the other two corresponding side lengths are 1.2 and 1.3.

Since the side lengths of triangle D were scaled by the same factor, we can set up the following equation -

1.2 / 3.6 = 1.3 / 4.8 = x / 5.2

Simplifying the equation -

0.3333... = 0.2708... = x / 5.2

x = 5.2 × 0.2708...

x ≈ 1.41

Now we can find the scale factor -

scale factor = x / 5.2 ≈ 1.41 / 5.2 ≈ 0.271

Therefore, the scale factor used was approximately 0.271.

Answer: One fourth.

To learn more about scale factor from the given link

https://brainly.com/question/28339205

#SPJ1

Answer:

1/4

Step-by-step explanation:

The before that answered first was correct! I also took the quiz so you guys dont have to!

\(\tt{Hey\)  \(\tt{there!\)

\(\tt{.674\)  \(\tt{as\)  \(\tt{fraction:\)

To convert .674 to a fraction, make .674 a fraction with a denominator of 1 then 10, then 100, and at last, 1,000:

\(\tt{\frac{.674}{1}=\frac{.674}{10}=\frac{.674}{100}=\frac{.674}{1000}\)

So .674 as a fraction would be written like:

\(\boxed{\tt{\frac{.674}{1000}}}\)

\(\tt{Hope\)  \(\tt{this\)  \(\tt{helps!\)

\(\boxed{\tt{-TestedHyperr}}\)

If the train travels at an average speed of 50 Km/h, it would be late by 10 minutes.

Speed is simply referred to as distance traveled per unit time.

It is expressed as:

Speed = distance / time

Given that the train running between two stations 50 Km apart arrives on time if it travels at an average speed of 60 km/h.

The time taken by the train to travel 50 km at an average speed of 60 km/h can be calculated using the formula:

Speed = distance / time

time = distance / speed

time = 50 km / 60 km/h

time = 5/6 hour

Next, if the train travels at an average speed of 50 km/h, the time taken to cover the same distance of 50 km would be:

Speed = distance / time

time = distance / speed

time = 50 km / 50 km/h

time = 1 hour

Now, the difference in time between the two scenarios would be:

time difference = 1 hour - 5/6 hour

time = 1/6 hour

Convert to minutes

time = 1/6 × 60

time = 10 minutes

Therefore, the train would be late by 10 minutes.

Learn more about speed here: https://brainly.com/question/27571996

#SPJ1

Solving question 3)

The apple pie takes up 1/5 of the pan. If she eats 1/8 of the pan, that means that we need to fin how much 1/8 out of 1/5 is, and this will be the fraction of apple pie that Anna has eaten.

To find the, what we do is multiply both fractions:

Solving the multiplications (we multiply the numerators 1x1 and the denominators 8x5):

which results in:

Answer: Ana has eaten 1/40 of the apple pie

Answer:

its the first one you listed

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The sum of the product is sin(13.2u) + sin(6.8u) = 0.5sin(8.2u) - 0.5sin(1.8u) = 0.5sin(20u) - 0.5sin(7u).

Product in math is the answer to a multiplication problem. It is calculated by multiplying two or more numbers, variables, or expressions together. Product is also used to describe the result when two or more sets of factors are multiplied together. The product of two or more numbers is equal to the sum of their individual factors.

The sum of sin(13.2u) and sin(6.8u) can be written as a product by using the trigonometric identity of the sine function: sin(A) + sin(B) = 2sin((A+B)/2)cos((A-B)/2).

Therefore, sin(13.2u) + sin(6.8u) = 2sin((13.2u + 6.8u)/2)cos((13.2u - 6.8u)/2) = 2sin(20u/2)cos(6.4u/2) = 2sin(10u)cos(3.2u)

Using the double-angle identity of the sine function: sin(2A) = 2sin(A)cos(A), we can rewrite the above equation as 2sin(10u)cos(3.2u) = 2sin(5u)[2sin(5u)cos(3.2u)] = 4sin(5u)sin(3.2u)cos(5u)

Finally, using the product-to-sum identity of the sine function: sin(A)sin(B) = 0.5[cos(A-B) - cos(A+B)], we can rewrite the above equation as 4sin(5u)sin(3.2u)cos(5u) = 0.5[cos(1.8u) - cos(8.2u)] = 0.5sin(8.2u) - 0.5sin(1.8u).

Therefore, the sum of sin(13.2u) and sin(6.8u) can be written as a product as follows:

sin(13.2u) + sin(6.8u) = 0.5sin(8.2u) - 0.5sin(1.8u) = 0.5sin(20u) - 0.5sin(7u).

To know more about product click-
https://brainly.com/question/28416295
#SPJ1

Answer:

f(- 2) = 8

Step-by-step explanation:

To evaluate f(- 2) , substitute x = - 2 into f(x) , that is

f(- 2) = 3(- 2)² + (- 2) - 2 = 3(4) - 2 - 2 = 12 - 4 = 8

Answer: To find the entire parade route, we need to know how many yards the band marched for each of the four sides of the square and then convert those yards to feet.

If the band marched 1,872 yards before their first turn onto Market Street, it means that they also marched 1,872 yards along each of the other three sides of the square.

So the total distance of the parade route in yards is:

1,872 yards + 1,872 yards + 1,872 yards + 1,872 yards = 7,488 yards

To convert that to feet we need to multiply it by 3, since 1 yard equals to 3 feet.

7,488 yards * 3 feet/yard = 22,464 feet

Therefore, the entire parade route was 22,464 feet long.

Step-by-step explanation: