In the month of February I spent 37.45 on coffee and a mug.... How many refills did I get?

8.95 +1.50r= Total



Someone help ASAP!

Answer:17

Step-by-step explanation:

Answer:

x=65

Step-by-step explanation:

90 degree angle

90-25= 65

It is a straight line with angle measures of 90°, x° and 25° opposite to the angle marked 180°.

Hence, their sum is 180°.

➛\(90 \degree + x + 25 \degree = 180 \degree\)

➛\(115 \degree + x = 180 \degree\)

Then,

➛\( x = 180 \degree - 115 \degree\)

➛\(x = 65 \degree\)

The measure of the angle will be 65° (Ans)

~\( \large{ \blue{ \sf{FadedElla}}}\)

∠1 and ∠2 are right angles because the measure of both angles is 90 and supplementary angles because the sum of both angles is 180°.

Triangle is a polygon that has three sides and three angles and the sum of the angle of the triangle is 180 degrees.

The figure is attached in the picture, please refer to the attached picture.

Given that:

An Angle in the figure is a right angle.

Its measure = 90°

So,∠2 = 90° ( vertically opposite angles are equal )

∠1 + ∠2 = 180° ( Linear Pair )

∠1 = 180 - 90

∠1 = 90°

∠1 = ∠2 = 90°

So, ∠1 and ∠2 are right angles because measure of both angles is 90°.

Adjacent angles because both a common arm and a common vertex.

Thus, ∠1 and ∠2 are right angles because the measure of both angles is 90 and supplementary angles because the sum of both angles is 180°.

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The correct option is B: V = π ∫[0,2] ((y + 2)/2 - 1)^2 dy

This integral will give us the Volume of the solid generated when region R is revolved about the vertical line x = 1.

The volume of the solid generated when region R is revolved about the vertical line x = 1, we can use the method of cylindrical shells.

The formula for the volume of a solid generated by revolving a region R about a vertical line is given by:

V = 2π ∫[a,b] x * f(x) dx

In this case, since we are revolving the region R about the vertical line x = 1, the limits of integration will be from y = 2 (where the horizontal line y = 2 intersects the graph y = 2x - 2) to y = 0 (where the graph y = 2x - 2 intersects the x-axis).

Let's analyze the options provided:

A. π ∫[1,2] ((y + 2)/2 - 1)^2 dy

B. π ∫[0,2] ((y + 2)/2 - 1)^2 dy

C. π ∫[1,2] (2 - (2x - 2))^2 dy

D. π ∫[0,2] ((y + 2)/2)^2 - 1^2 dy

Option A: The limits of integration are incorrect. We need to integrate with respect to y, not x.

Option B: This appears to be the correct integral setup, integrating with respect to y and using the correct limits of integration.

Option C: This option incorrectly uses the expression (2 - (2x - 2))^2, which doesn't match the function y = 2x - 2.

Option D: The limits of integration are incorrect. We need to integrate from y = 2 to y = 0.

Therefore, the correct option is B:

V = π ∫[0,2] ((y + 2)/2 - 1)^2 dy

This integral will give us the volume of the solid generated when region R is revolved about the vertical line x = 1.

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Answer:

 4,3

Step-by-step explanation:

Answer:

x=5/3, y= 4 2/3

Step-by-step explanation:

y=4x−2

y=x+3

x+3=4x-2

3=3x-2

5=3x

x=5/3

y=4(5/3)−2

y=6 2/3-2

y= 4 2/3

The value of CPI will be 178.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

In 1983, a pair of jeans cost $66.35.

And, A pair of jeans costs $118.10 today.

Now,

Since, In 1983, a pair of jeans cost $66.35.

And, A pair of jeans costs $118.10 today.

Hence, The value of CPI will be;

CPI = 118.10 × 100 / 66.35

      = 11810 / 66.35

       = 178

Thus, The value of CPI will be 178.

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Breaking stress is (b) less than the ultimate stress, because it is point at which material undergoes "plastic-deformation" but does not necessarily break.

The "Breaking-Stress", is also known as "fracture-stress", is the stress at which a material breaks or fractures under a given load or tension.

This means that the breaking stress is the "maximum-stress" that a material can withstand before it fractures or breaks apart.

The "Ultimate-Stress" is defined as the maximum stress that a material can withstand before it undergoes plastic deformation, such as permanent bending or stretching, but without necessarily breaking.

Since the breaking stress is the point at which the material breaks, it must be less than the ultimate stress, which is the point at which the material undergoes plastic deformation but does not necessarily break.

Therefore, the correct option is (b).

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The given question is incomplete, the complete question is

Breaking stress is -

(a) greater than the ultimate stress

(b) less than the ultimate stress

(c) equal to the the ultimate stress

(d) none of these

Ndidi rides y km at 10 km/hr, then walks 0.5y km at 3 km/hr. She is away from. home less than 4hours.Range of the values of Y is =24/7

Let's call the total time spent riding and walking t hours. We know that t is less than 4 hours, so:

t = time spent riding + time spent walking < 4 hours

The time spent riding is given by y / 10 km/hr and the time spent walking is given by 0.5y / 3 km/hr. So, we can write the inequality as:

t = y / 10 + 0.5y / 3 < 4

Expanding and simplifying the expression on the left side gives:

7/6y < 4 * 6/7

Multiplying both sides by 6/7 gives:

y < 4 * 6/7 * 6/7 = 24/7

So, the range of values of y is 0 < y < 24/7 km. This means that Ndidi rode less than 24/7 km, but more than 0 km.

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Answer:

\(9\pi\)

Step-by-step explanation:

To find circumference you need to use the formula \(2\pi r= C\) or \(d\pi =c\). We don't have the radius, but we do have the diameter so we have to use the second formula.

The diameter is 9 so we insert it into the formula.

\(d\pi=C\\\\9\pi=C\\\\\)

So the circumference is \(9\pi\)

Answer:

rate of change is 15/1 of just 15

Step-by-step explanation:

Change in y divided by change in x

50-20=30 divided by 4-2=2

30/2= 15

Answer:

Step-by-step explanation:

-1

Answer:

210

Step-by-step explanation:

1: Part/whole=%/100

2: 100-5=95

3: 3150/30=$105 uniforms.

Answer: $210

Hope this helps.

The edge where two colors meet and the visual line formed by a row of people waiting are examples of Implied lines.

Define vertical lines?

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Answer:

may be only two method of its question for slove

The change in the nominal exchange rate, in Canada's perspective, is a depreciation of the Canadian dollar by 2.76%.

Nominal exchange rate is the price of one currency in terms of another currency. It represents the number of units of one currency that can be purchased with a single unit of another currency. In Canada's perspective, a change in nominal exchange rate means the value of the Canadian dollar in US dollars. So, to calculate the change in nominal exchange rate from Canada's perspective.

Nominal Exchange Rate = Real Exchange Rate x (1 + Inflation of Canada) / (1 + Inflation of US) Given, Real Exchange Rate of Canada

= 4.9% Inflation of Canada

= 8.5% Inflation of US

= 3.8%  Nominal Exchange Rate

= 4.9% x (1 + 8.5%) / (1 + 3.8%) Nominal Exchange Rate

= 4.9% x 1.085 / 1.038 Nominal Exchange Rate

= 5.3099 / 1.038 Nominal Exchange Rate

= 5.11 (rounded to two decimal places)

This means that if there were no inflation, the nominal exchange rate from Canada's perspective would have been 5.11 Canadian dollars per US dollar. But due to inflation, the Canadian dollar depreciated by 2.76% (calculated as (5.11 - 4.97) / 5.11 x 100%). Therefore, the change in the nominal exchange rate, in Canada's perspective, is a depreciation of the Canadian dollar by 2.76%.

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have a government

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Step-by-step explanation:

yan napo lahat answer

The diameter of the circle is approximately 60 inches.

To explain further, we can use the formula relating the central angle of a sector to the length of its intercepted arc. The formula states that the length of the intercepted arc (A) is equal to the radius (r) multiplied by the central angle (θ) in radians.

In this case, we are given the central angle (225 degrees) and the length of the intercepted arc (30π inches).

To find the diameter (d) of the circle, we need to find the radius (r) first. Since the length of the intercepted arc is equal to the radius multiplied by the central angle, we can set up the equation 30π = r * (225π/180). Simplifying this equation gives us r = 20 inches.

The diameter of the circle is twice the radius, so the diameter is equal to 2 * 20 inches, which is 40 inches. Therefore, the diameter of the circle is approximately 60 inches.

In summary, by using the formula for the relationship between central angle and intercepted arc length, we can determine the radius of the circle. Doubling the radius gives us the diameter, which is approximately 60 inches.

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The domain restrictions of the expression q²−7q−8/q²+3q−4 are q ≠ -4 and q ≠ 1. (option c)

The denominator of the expression is q²+3q−4. To determine the values that would make the denominator equal to zero, we can set it equal to zero and solve for q:

q² + 3q - 4 = 0

Now, we can factorize the quadratic equation:

(q + 4)(q - 1) = 0

To find the values of q, we set each factor equal to zero and solve for q:

q + 4 = 0 or q - 1 = 0

Solving these equations, we get:

q = -4 or q = 1

So, the values of q that would make the denominator equal to zero are q = -4 and q = 1. These are the values we need to exclude from the domain of the expression to avoid division by zero.

Therefore, the correct answer is option c) q ≠ 1 and q ≠ -4.

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Complete Question:

What are the domain restrictions of q²−7q−8/q²+3q−4?

a) q≠1 and q≠−8

b) q≠−1 and q≠4

c) q≠1 and q≠−4

d) q≠−1 and q≠8

Answer:

1/3

Step-by-step explanation:

Opposite reciprocal slopes.

The solution to the given system of linear equations is x = 20/27, y = 14/27, z = -5.

To use Cramer's rule to find the solution of the system of linear equations, we need to determine the determinant of the coefficient matrix and the determinants of the matrices obtained by replacing each column of the coefficient matrix with the column of constants.

The coefficient matrix is:

| 3 5 2 |

| 12 -15 4 |

| 6 -25 -8 |

The determinant of the coefficient matrix, denoted as D, can be calculated as follows:

D = (3*(-15)(-8) + 546 + 212*(-25)) - (2*(-15)6 + 1243 + 512*(-8))

D = (-360 + 120 + (-600)) - ((-180) + 144 + (-480))

D = -840 - (-516)

D = -840 + 516

D = -324

Now, we calculate the determinants Dx, Dy, and Dz by replacing the respective columns with the column of constants:

Dx = | 0 5 2 |

| 12 -15 4 |

| 0 -25 -8 |

Dy = | 3 0 2 |

| 12 12 4 |

| 6 0 -8 |

Dz = | 3 5 0 |

| 12 -15 12 |

| 6 -25 0 |

Calculating the determinants Dx, Dy, and Dz:

Dx = (0*(-15)(-8) + 540 + 212*(-25)) - (2*(-15)12 + 043 + 512*0)

= (0 + 0 + (-600)) - ((-360) + 0 + 0)

= -600 - (-360)

= -600 + 360

= -240

Dy = (312(-8) + 046 + 212(-25)) - (212(-15) + 1243 + 012(-8))

= (-288 + 0 + (-600)) - ((-360) + 144 + 0)

= -888 - (-216)

= -888 + 216

= -672

Dz = (3*(-15)0 + 51212 + 06*(-25)) - (0120 + 312(-25) + 5012)

= (0 + 720 + 0) - (0 + (-900) + 0)

= 720 - (-900)

= 720 + 900

= 1620

Finally, we can find the solutions x, y, and z using Cramer's rule:

x = Dx / D = -240 / -324 = 20/27

y = Dy / D = -672 / -324 = 14/27

z = Dz / D = 1620 / -324 = -5

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Answer:

y = 2x + 4

Step-by-step explanation:

the points (0,-2) and (1,0) lie on the line y=2x-2

if we move these points three units to the left they become:

(-3,-2) and (-2,0) and the slope remains 2

to find the new y-intercept we can take one of the points and plug the x-and-y values into the slope-intercept form of a line, y = mx + b

0 = 2(-2) + b

0 = -4 + b

4 = b

y-intercept is now 4

Answer:

Step-by-step explanation:

In order to find f(9) we substitute the value of x that's 9 into f(X) that's where there's x we substitute it with 9 and calculate.

We have

\(f(x) = x + 6\)

\(f(9) = 9 + 6 \\ = 15\)

We have the final answer as

Hope this helps you

Answer:

x ≤ -27

Step-by-step explanation:

\(\frac{x}{-9}\) ≥ 3

to isolate the 'x' we need to multiply each side by -9

whenever you multiply or divide an inequality by a negative you must reverse the inequality symbol, therefore:

x ≤ -27

To maximize profits, the firm should produce a quantity of goods x = 5 and y = 10, based on the cost function and price constraints.

To maximize profits, the firm needs to find the quantities of goods x and y that will yield the highest profit. The profit function can be defined as the revenue minus the cost. Revenue is calculated by multiplying the quantity of each good produced with their respective prices, while the cost function is given as C(x, y) = 10x + xy + 10y.

The firm is committed to delivering a total of 15 units, which can be expressed as x + y = 15. To determine the optimal production quantities, we need to maximize the profit function subject to this constraint.

By substituting the price expressions Ps = 50 - x + y and Py = 50 - x + y into the profit function, we obtain the profit equation. To find the maximum profit, we can take the partial derivatives of the profit equation with respect to x and y, set them equal to zero, and solve the resulting system of equations.

Solving the equations, we find that the optimal production quantities are x = 5 and y = 10, which maximize the firm's profits.

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Answer:

see below

Step-by-step explanation:

¢78 per pack of 6 labels

costumer wants to buy 34 labels

= 34 labels   x   ¢ 78    

                        6 labels

= $4.42

bedroom = 14 ft. x 16 ft.

carpet cost = $2.49 per ft²

padding cost = $1.81 per ft²

find: total cost of carpet and padding

solution:

bedroom area = 14x16 = 224 ft²

carpet cost = $2.49 per ft²  x 224 ft² = $557.46

padding cost = $1.81 per ft² x 224 ft² = $405.44  

total                                                      = $ 963.2        

three makes = $9.87 per hour

two    makes = $15.35 per hour  

one   makes = $17.98 per hour

one   makes = $23.47 per hour

find: average pay for the seven workers:

solution:

add all rates divide it by number of workers

= 9.87 + 15.35 + 17.98 + 23.47

                        7

= 66.67

       7

=  $9.52

gasoline truck = 10,000 gallons full

if 4,781 gallons are delivered to gas stations

each gallon weights = 7.5 pounds apx.

find: what is the weight remaining gallons of gasoline in the 10,000 gallon tank?

solution:

a truck delivered 4,781 gallons to a 1 station

10,000 - 4,781 = 5,219 gallons

therefore, the weight of the remaining gasoline in the tank is:

= 5219 gallons  x 7.5 pounds

                                gallon

= 39,142.5 pounds

alternatively,

if a truck delivered 4,781 gallons per station:

10,000 = 2.09  (this means a gasoline truck can only deliver

 4,781                 two gas stations )

the remaining gasoline in the tank is:

= 10,000 - (2 x 4,781)

= 438 gallons of gasoline

therefore, the weight of the remaining gasoline in the tank is:

= 438 gallons  x 7.5 pounds

                                gallon

= 3,285 pounds

checking account balance = $1,266.73

write checks for $456.99, $35.00, $576.91 and $567.91

made a deposit of $892.14

find: what is your new balance?

solution:

= you write checks which is:

= $456.99, $35.00, $576.91 and $567.91

= $1,636.88 (note this is not a withdrawal)

 this means it doesn't affect the balance

= deposit of $892.14

new balance =  $1,266.73 + $892.14

                     = $2,158.87

alternatively,

if the write checks has been withdrawn, then deposited $892.14

the new balance would be = $1,266.73 - $1,636.88 + $892.14

                                             = $521.99

approximately 1250 people will be coming to get flu shot

if the shots are packed by the dozen:

find: how many dozen should be ordered to cover the estimate?

solution:

= 1250 people x      1 dozen  

                            12 flu shots

= 104.17 ⇒ 105 dozens

therefore, 105 dozens is required to cover 1250 people

wall is 81 ft wide x 52 ft tall.

paint will cover 500 ft² per gallon.

if paint cost $14.99/gallon

find: how much will it cost for enough to paint to cover the wall?

solution:

wall area = 81 x 52

               = 4,212 ft²

paint required =  4,212 ft²  x   1 gallon

                                                  500 ft²  

                        = 8.424 gallons of paint needed.

therefore, the cost of paint to cover the wall is:

= 8.424 gallons x $14.99/gallon

= $ 126.27

40 hours past. overtime pays = 1.5 times the rate

50 hours past. overtime pays = 2 times the rate

rate at less than 40 hours = $16.82

worked 56 hours in one week.

find: how much you earned?

solution:

normal  = 40 hours x $16.82          = $ 672.8

over 40 = 10 hours x 1.5 x $16.82  = $ 252.3

over 50 =  2 hours x 2 x $16.82     = $   67.2    

total                                                  = $ 992.38

therefore, the total money earned is

$ 992.38

20 ft long piece of steel weights 2.2 ton

4 ft is cut off

find: weight of the 4 foot in pounds

solution:

weight per foot = 2.2 ton

                              20 ft

                           = 0.110 ton/ft.

weight of four ft = 4 ft. x  0.110 ton

                                           1 ft.

                          = 0.440 ton x    2,240 pounds  

                                                         1 ton

                          = 985.6 pounds

odometer reads 52,513 miles

returned from trip = 84,756 miles

average gas mileage = 23.8 mpg.

find: how many gallons did you use?

solution:

mileage = 84,756 - 52,513

             = 32,243 miles

gallons used = 32,243 miles

                         23.8 mpg

                     =  1,354.7 gallons

Step-by-step explanation:

\(

\underline{\bf{Given\::}}

Given:

\underline{\bf{To\:find\::}}

Tofind:

\underline{\bf{Explanation\::}}

Explanation:

\boxed{\bf{\frac{1}{f} =\frac{1}{v} -\frac{1}{u} }}}}

\begin{gathered}\longrightarrow\sf{\dfrac{1}{-10} =\dfrac{1}{v} -\dfrac{1}{-30} }\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\dfrac{1}{-10} +\dfrac{1}{30} }\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\dfrac{-3+1}{30} }\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\cancel{\dfrac{-2}{30} }}\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\dfrac{1}{-15} }\\\\\\\longrightarrow\sf{v=-15\:cm}\end{gathered}

⟶

−10

1

=

v

1

−

−30

1

⟶

v

1

=

−10

1

+

30

1

⟶

v

1

=

30

−3+1

⟶

v

1

=

30

−2

⟶

v

1

=

−15

1

⟶v=−15cm

\boxed{\bf{M \:A \:G \:N\: I \:F \:I \:C\: A\: T \:I \:O\: N :}}

MAGNIFICATION:

\begin{gathered}\mapsto\sf{m=\dfrac{Height\:of\:image\:(I)}{Height\:of\:object\:(O)} =\dfrac{Distance\:of\:image}{Distance\:of\:object} =\dfrac{v}{u} }\\\\\\\mapsto\sf{m=\cancel{\dfrac{-30}{-15}} }\\\\\\\mapsto\bf{m=2\:cm}\end{gathered}

↦m=

Heightofobject(O)

Heightofimage(I)

=

Distanceofobject

Distanceofimage

=

u

v

↦m=

−15

−30

↦m=2cm

Thus;

The magnification will be 2 cm .

\)