Machine Trades A machinist estimates the following times for fabricating a certain part: 0.6 hour for setup, 2.4 hours of turning, 5.2 hours of milling, 1.4 hours of grinding, and 1.8 hours of drilling. What is the total time needed to make the part?

The value of x in the given set triangles are:

1) x=17.5

2) x=48

3) x= 8

4) 24.5

5) x=11

6) x=9

What is Triangle Proportionality Theorem?

If a line parallel to one side of a triangle contacts the other two sides of the triangle, the line proportionally splits these two sides.

1) According to Triangle Proportionality Theorem,

from given fig 1,

          [tex]\frac{14}{12} =\frac{x}{15} \\\\\frac{7}{6} =\frac{x}{15} \\\\x= 17.5[/tex]

2) From fig 2,

          [tex]\frac{x}{18} =\frac{56}{21} \\\\x=48[/tex]

3) From fig 3,

           [tex]\frac{x}{36} =\frac{10}{45} \\\\\frac{x}{36} =\frac{2}{9} \\\\x=8[/tex]

4) From fig 4,

          [tex]\frac{6}{21}=\frac{7}{x} \\\\6x=7*21\\\\x=24.5[/tex]

5) From fig 5,

         [tex]\frac{30}{x+7} =\frac{25}{15} \\\\\frac{30}{x+7} =\frac{5}{3} \\\\x=11[/tex]

6) From fig 6,

         [tex]\frac{6}{21}=\frac{x-1}{3x+1} \\\\ 18xx+6=21x-21\\\\3x=27\\\\x=9[/tex]

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The effect of "a" in the graph of parabola is value from the quadratic function.

In this question we have four case of parabolas with vertical axes of reference, whose standard formula is:

y = a(x – h)2 + k or x = a(y – k)2 +h

Where:

(h, k) - The vertex of the parabola.

p - Least distance between the vertex and the focus of the parabola.

Given that;

The equation of parabola is f(x) = ax².

Now, Let's look at the graph of f(x) = x^2 + 3x + 1, which is below. The b-value in this equation is 3.

We see that our graph is indeed a parabola. Our parabola is curving up. The x-value of the vertex, the tip of the parabola, is -3 / 2 or -1.5. We can actually calculate this x-value by evaluating the expression -b / 2a, where a and b are the values from the quadratic function.

Therefore, the role of a in parabola is stated.

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Answer:

D.666 cubic centimeters

Step-by-step explanation:

Volume of cylinder is 3 time the volume of cone of the same radius.

Volume of cylinder= πr²h

Volume of cone = 1/3 x πr²h

Answer: The sum of the two polynomials 3m^2 + 4m + 7 and 4m^2 - 3m + 2 is 7m^2 + m + 9.

Step-by-step explanation:

Answer:

416,`735

Step-by-step explanation:

Do inverse operations

The values of x and y are given as follows:

Similar polygons are polygons that share these two features presented as follows:

The proportional relationship for the side lengths in this problem is given as follows:

x/10.5 = 5/y = 5/7.5.

Hence the value of x is given as follows:

7.5x = 5 x 10.5

x = 5 x 10.5/7.5

x = 7.

The value of y is given as follows:

5/y = 5/7.5

y = 7.5.

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Answer:

Below

Step-by-step explanation:

5.2 * .83     second

(5.2 * .83) * .83   =    5.3 * .83^2     third

.

= 5.2 ( .83)^4        Fifth   = 2.468 ft

The volume of the rectangular prism is 42 cubic inches

The volume of a rectangular prism is calculated as the product of its length, width, and height.

The formula is:

V = l x w x h

Where,

V is the volume

l is the length

w is the width

h is the height.

The volume of this figure is calculated using the formula given above as;

V = l * w * h

We can divide the figure into two rectangular prism and calculate the volume.

v = (8 * 3 * 1) + (6 * 3 * 1)

v = 42 in³

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multiply the second equation by -1, you get

y=5x-10

-y=3x-14

add both of the equations together

0=8x-24

then

24=8x

x=3

to find y replace x in one of the original equations

y=5x-10

y=5(3)-10

y=15-10

y=5

(x,y)

(3,5)

The option that was not an impact of the crusades is B. End of the Roman Empire.

The Crusades were a series of religious wars fought between Christians and Muslims in the Middle East during the medieval period. The Crusades had a significant impact on European society and culture, including:

Monarchs grew more powerful: The Crusades helped to strengthen the power of monarchs in Europe, as they became more involved in financing and organizing the Crusades.

However, the Crusades did not bring about the end of the Roman Empire. The Roman Empire had already collapsed centuries earlier, in the 5th century AD, and the Crusades took place in the 11th-13th centuries AD, during the medieval period.

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The quadratic function is of the given question is f(x) = [tex]-2x^{2}[/tex] + 10x + 1.

When a, b, and c are constants and x is an unknown variable, the equation has the form [tex]ax^{2}[/tex] + bx + c = 0, which is known as a quadratic equation. The unknown variable x is solved for using the quadratic equation.

The largest power of the variable in a quadratic equation is two. The variable is now squared, but it may also have a coefficient, often known as a multiplier, in front of it. Two more components in the equation are made up of a constant and a variable with an exponent of 1.

In the given question,

The equation of the quadratic function with a vertex at (-1, 3) and passing through (-4, -6) can be written as:

y = [tex]a(x + 1)^{2}[/tex] + 3

Where a is a constant that determines the shape of the function. To find the value of a we can substitute the coordinates of the vertex and the point into the equation and solve for a.

Substituting (x, y) = (-1, 3) into the equation:

3 = [tex]a(-1 + 1)^{2}[/tex] + 3

Simplifying:

3 = [tex]a(0)^{2}[/tex] + 3

3 = 3

Since both sides are equal, a = 1.

Substituting (x, y) = (-4, -6) into the equation:

-6 = [tex]a(-4 + 1)^{2}[/tex] + 3

Simplifying:

-6 = [tex]a(-3)^{2}[/tex] + 3

-6 = 9a + 3

-9 = 9a

Divide each side by 9:

-1 = a

Since both values of a are equal, a = -1.

Therefore, the equation of the quadratic function with a vertex at (-1, 3) and passing through (-4, -6) is:

y = [tex]-(x + 1)^{2}[/tex] + 3

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Answer:

4 pounds

Step-by-step explanation:

2.36/4 = 0.59 cents a banana

1.83/3 = 0.61 cents a banana

Answer: a. From the perspective of the 30-year-old male, the monetary value corresponding to surviving the year is -$154 (the cost of the insurance policy). The monetary value corresponding to not surviving the year is $99,805 (the death benefit payout).

b. If the 30-year-old male purchases the policy, his expected value can be calculated using the formula:

Expected Value = (Probability of Event A) * (Value of Event A) + (Probability of Event B) * (Value of Event B)

In this case, the probability of surviving the year and not surviving the year can be assumed to be the same, as we don't have any specific information on the individual's health or life expectancy. Therefore, the probabilities can be assumed to be 0.5 each.

Plugging in the values, we get:

Expected Value = (0.5) * (-$154) + (0.5) * ($99,805) = ($50,326)

So, the expected value for the 30-year-old male purchasing the policy is $50,326.

Step-by-step explanation:

The amount of interest paid will be $9.6.

The simple interest is the simple amount paid by the borrower to the bank according to the percentage set by the bank for per year which is a fixed interest rate.

Given that Margo takes out a $600 loan with a 10-month repayment period and a 2% yearly interest rate.

The simple interest will be calculated as:-

SI = ( P x R x T ) / 100

SI = ( 600 x 2 x 0.8 ) / 100

SI = 960 / 100

SI = $9.6

Therefore, $9.6 will be paid in interest.

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Answer:

3/50

Step-by-step explanation:

3 g, 5 r, 2 o

3 + 5 + 2 = 10

Orange = 2 jelly beans

Probability of selecting an orange jelly bean: 2/10 or 1/5

If you put the jelly bean back in, there is still 10 jelly beans.

Green = 3 jelly beans

Probability of selecting a green jelly bean: 3/10\

Multiply the probabilities:

1/5 x 3/10

= 3/50

Answer:

h(x) = 0.5x + 8

Step-by-step explanation:

We are being asked to write an equation where h(x) represents the soil depth in inches and x describes the number of bags. To do this, we need to find b (our y-intercept, ie the value of h(x) or y when x=0) and m (our slope).

"The depth of the soil is currently 8 inches": this means before any bags are added (ie when x=0), the soil depth starts at 8. This makes 8 our y-intercept (b in h(x)=mx+b) as we have to add it on to however much the bagged soil adds in order to get the total depth.

"For each bag of soil he adds, the depth will increase by 1/2 of an inch": this means that the soil depth from added bags is equal to the amount of bags times 0.5, which makes 0.5 our slope (m in h(x)=mx+b).

Therefore our answer is:

h(x) = 0.5x + 8

The discounted price of the ticket is $198.

The total cost of the ticket with the discount and service fee is $214.33.

A percentage is a ratio or number that may be expressed as a fraction of 100. Moreover, it is denoted by the sign "%."

Given:

The cost of a ticket on an airline is $220.

And Jameson receives a discount of 10%.

To find the discounted price:

The discounted price = 220 - 220 x 10 / 100

The discounted price = $198.

And the service charge is 8.25%.

So, the amount of service charge,

= 198 x 8.25/100

= 16.33

The total cost of a ticket = $198 + $16.33 = $214.33

Therefore, the cost is $214.33.

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The area of the larger hexagon in discuss as required in the task content is; Choice B; b. 18√3 square units.

It follows from the task content that the area of the larger hexagon be determined.

Recall from the concept of similar shapes; if the ratio of side lengths of two similar shapes is; k, therefore the ratio of their perimeters is k and the ratio of their areas is; k².

On this note, since the larger hexagon is √2 times the side length of the smaller hexagon;

It follows that the area of the lager hexagon is (√2)² times the area of the smaller one.

Therefore, Area of larger hexagon = √2² × 9√3

= 18 √3.

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La velocidad promedio del motociclista es 128km/h, entonces si, supera el limite de velocidad previsto.

Sabemos que podemos definir la velocidad como el cociente entre distancia y tiempo, en este caso sabemos que:

distancia = 320km

tiempo = 2.5 h.

Entonces la velocidad será:

v = 320km/2.5 h = 128 km/h

Podemos ver que claramente, el motociclista supera el limite de velocidad previsto.

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The measure of angle A is given as follows:

<A = 60º.

The three trigonometric ratios are defined as follows:

For the angle A, we have that:

Applying the sine ratio, the angle measure is given as follows:

sin(A) = 13/15

A = arcsin(13/15)

A = 60º.

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From the given trapezoid the value of the x is 1.

What is the trapezoid?

The sum of all the angles in a trapezoid is equal to 360°. The sum of the angles on the same side is equal to 180°.

We have,

Since a Trapizode has 360 Degrees total and since the sides are equal we can say that

180 = 66 + ∠R

∠R = 180 - 66

∠R = 114

so,

180 = 66 + (-2 + 116x)

180 = 66 - 2 + 116x

180 = 64 + 116x

180 - 64 = 116x

116 = 116x

x = 1

Therefore, from the given trapezoid the value of the x is 1.

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The solution is Option B.

The area of the rectangle is given by the equation A = 4 4/5 feet²

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangle be represented as A

Now , the equation will be

Let the length of the rectangle be L = 8 feet

Let the width of the rectangle be W = ( 3/5 ) feet

Now , Area of Rectangle = Length x Width

Substituting the values in the equation , we get

Area of Rectangle = ( 3/5 ) x 8

On simplifying the equation , we get

Area of Rectangle = 24/5 feet²

Area of Rectangle = 4 4/5 feet²

Hence , the area of the rectangle is 4 4/5 feet²

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Answer: 5.26

Step-by-step explanation:

Answer:

= 0.190

Solution:

Change the divisor 2.63 to a whole number by moving the decimal point 2 places to the right. Then move the decimal point in the dividend the same, 2 places to the right.

We then have the equations:

50 ÷ 263 = 0.190

and therefore:

0.5 ÷ 2.63 = 0.190

Both calculated to 3 decimal places.

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Total number of marbles is 5 + 7 + 29 = 41.

The given parameters are

2 gold marbles,

7 silver marbles,

and 29 black marbles

Also you win $4, if it is silver, you win $2. If it costs $1 to play

Event   P(Event)  Net Winnings   P(Event) * Net Winnings

Gold     5/41          4 - 1 = 3          15/41

Silver    7/41         2 - 1 = 1           7/41

Black    29/41        -1                   -29/41

sum     -7/41 = $0.17 loss

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The value for the Inequality 13x ≤ 200 is x ≤ 15.384.

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

13 times a number x is less than or equal to 200.

Now, Writing the Inequality Mathematically

13x ≤ 200

x ≤ 200 / 13

x ≤ 15.384

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The battery will last 2.73 hours when it is fully charged

The unit rate is the ratio of a certain number of units of one quantity to units of another quantity. Mathematically, the unit rate is one quantity divided by the other quantity

Since Cheryl's phone battery is 55% charged and it will last for another 1.5 hours. Thus, the rate will be:

rate =   1.5 hours/55% = 3/110 hour per %

When it is fully charged, that is 100%. Thus, it will take:

Time for 100% = (3/110) * 100% = 2 8/11 hours = 2.73 hours

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The measures of all the angles D, C, E and F are 90 degrees

From the question, we have the following parameters that can be used in our computation:

The circle

On the circle, we have the angles D, C, E and F to be angles in a semicircle

As a general rule:

Angles in a semicircle are right angle

This means that

Angle in a semicircle = 90 degrees

Using the above as a guide, we have the following:

D, C, E and F = 90 degrees

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