A cement mason starts making concrete by mixing 212 pounds of sand to 314 pounds of gravel. The mason uses 414 pounds of sand and gravel to start the concrete. How many pounds of gravel does the mason use?

Answer:

Step-by-step explanation:

Let the side be s and diagonal be d.

The relationship between the side and diagonal of a square is:

Substitute the value of s to find d:

We assume that the outcomes of successive trials in a binomial experiment are c) identical from trial to trial.

The correct answer is:

c. identical from trial to trial

In a binomial experiment, the outcomes of successive trials are assumed to be identical from trial to trial. This means that each trial has the same probability of success or failure, and the outcome of one trial does not affect the outcome of the subsequent trials. Each trial is considered independent and does not depend on the previous or future trials.

Option a is incorrect because the outcomes in a binomial experiment are not random numbers between 0 and 1. They are discrete outcomes, usually represented as success or failure, or yes or no.

Option b is incorrect because the outcomes in a binomial experiment are assumed to be independent, not dependent. The probability of success or failure in one trial does not affect the probability in subsequent trials.

Option d is incorrect because it mistakenly states that the outcomes are probabilistically independent. The correct term is "independent," without the term "probabilistically."

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Step-by-step explanation:

(18+12√5)(9-6√5)

18(9-6√5)+12√5(9-6√5)

162-108√5+108√5-360

162-360

-198

hope this helps you.

To find the height of a parallelogram when its base length and area are given, we can use the formula A = bh, where A represents the area, b represents the base length, and h represents the height of the parallelogram.

Given that the base length of the parallelogram is x + 2 centimeters and the area is x^2 + 7x + 10 centimeters, we can set up the equation:

x^2 + 7x + 10 = (x + 2) * h

To find the height, we need to solve this equation for h. We can simplify the equation:

x^2 + 7x + 10 = xh + 2h

x^2 + (7 - h)x + 10 - 2h = 0

Comparing this equation with the quadratic form ax^2 + bx + c = 0, we can determine that:

a = 1, b = 7 - h, and c = 10 - 2h.

For this equation to have a solution, the discriminant (b^2 - 4ac) must be greater than or equal to 0. So, we have,

(7 - h)^2 - 4(1)(10 - 2h) ≥ 0

49 - 14h + h^2 - 40 + 8h ≥ 0

h^2 - 6h + 9 ≥ 0

(h - 3)^2 ≥ 0

Since (h - 3)^2 is always greater than or equal to 0, the inequality is satisfied for all real values of h. Therefore, the height of the parallelogram can take any real value.

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Answer:

C- Ay can be positive, negative or 0

E-O is constant

Step-by-step explanation:

Answer:

Step-by-step explanation:

A is true, slope, m= change in y/change in x

B. is true, change in y = y2-y1

C.  is true, the change in y can be pos, neg or 0

D is true, the change in x= x2-x1

E is false, you can never get a 0 in the bottom for a linear function.  this is when it is a vertical line which is not a linear function.  it does not exist

F is true, the slope is a constant.

The distance traveled by a passenger on each rotation of the Ferris wheel is 1635.2 feet.

The Circumference of a circle is defined as the product of the diameter of the circle and pi.

C = πd

where 'd' is the diameter of the circle

The expression is given in the question as:

⇒ 3.14d

The circumference of the Ferris wheel can be determined by multiplying the diameter, d, by (3.14).

Thus, the circumference of the Ferris wheel is:

⇒ 3.14 × 520 = 1635.2 feet.

Since the Ferris wheel makes one full rotation in one ride, the distance traveled by a passenger on each rotation of the Ferris wheel is 1635.2 feet.

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Answer:

1

Step-by-step explanation:

The given equation of the function is y = -a·(x - h)² + 1

The positive constants of the equation = a, and h

The points the function crosses the x-axis = 2, and 4

Where the function crosses the x-axis, y = 0, and x = 2, and 4, therefore, when x = 2, we have;

y = 0 = -a·(2 - h)² + 1

When x = 4, we have;

0 = -a·(4 - h)² + 1

-a·(2 - h)² + 1 = -a·(4 - h)² + 1

-a·(2 - h)² = -a·(4 - h)²

(2 - h)² = (4 - h)²

±(2 - h) = +#±(4 - h)

When

(2 - h) is negative, and (4 - h) is positive, but the same magnitude, we have';

-(2 - h) = +(4 - h)

2·h = 4 + 2 = 6

h = 3

0 = -a·(4 - h)² + 1 = -a·(4 - 3)² + 1 = -a + 1

Therefore, a = 1

The figure is cut by a plane containing its altitude and perpendicular to its base, the cross-section formed is (A) Triangle.

When a triangular pyramid is cut by a plane containing its altitude and perpendicular to its base, the resulting cross-section will be a triangle.

To understand why, let's visualize the pyramid. A triangular pyramid has a base that is a triangle and three triangular faces that converge at a single point called the apex.

The altitude of the pyramid is a line segment that connects the apex to the base, perpendicular to the base.

When we cut the pyramid with a plane containing its altitude and perpendicular to its base, the plane will intersect the pyramid along its height.

This means that the resulting cross-section will be a slice that is perpendicular to the base and parallel to the other two triangular faces.

Since the base of the pyramid is a triangle, and the plane cuts through it perpendicularly, the resulting cross-section will also be a triangle.

The shape of the cross-section will be similar to the base triangle of the pyramid, with the same number of sides and angles.

Therefore, the correct answer is a. Triangle.

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Answer:

0.48 of a mile in 1 minute

Step-by-step explanation:

If Amare runs 1.10 miles in 2.3 minutes, you need to find how much he runs in 1 minute. 2.3 divided by what = 1? 2.3. Divide 1.10 by 2.3 to get 0.47826. You can round this to .48 or even .5, depending on the question. So, Amare runs .48 of a mile in 1 minute.

Answer:

---

Step-by-step explanation:

-16t^2+27t+3=h

cannot be factored

(idek if that's an option, sry)

---

hope it helps

The 2 sides of the equation are not equal; hence, I cannot prove them to be true.

The sum of the two complex numbers will give:

(-4 + i) + (10 - 5i) = 6 - 4i

So the correct option is the third one.

Let's assume we have two complex numbers which are:

A = a + bi

B = c + di

The sum between these two complex numbers is:

A + B = (a + bi) + (c + di)

Taking i as a common factor we can rewrite:

(a + bi) + (c + di) = a + c + (b + d)i

And that is the general sum.

Here we want to solve:

(-4 + i) + (10 - 5i)

Again, if we take i as a common factor we can rewrite:

-4 + 10 + (1 - 5)*i

6 - 4i

So the correct option is the third one.

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The rate at which the distance from the plane to the station is increasing when it has a total distance of 3 mi away from the station is 313.05 mi/h .

Given :

a plane flying horizontally at an altitude of 2 mi and a speed of 420 mi/h passes directly over a radar station. find the rate at which the distance from the plane to the station is increasing when it has a total distance of 3 mi away from the station .

Here ,

h = 2

d = 3

we know that ,

x = \(\sqrt{d^2 - h^2}\)

= \(\sqrt{3^2 - 2^2}\)

= \(\sqrt{9 -4}\)

= \(\sqrt{5}\)

d = \(\sqrt{5}\) * 420 / 3

= \(\sqrt{5}\) * 140

= 313.05 mi/h

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The amount of pounds of clay left is given by the equation A = 0.51 pounds

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

The total amount of pounds of clay = 3.8 pounds

Now , the amount of clay used by Martha = ( 1/4 ) of the total

So , the amount of clay used by Martha = ( 1/4 ) x 3.8 = 0.95 pounds

And , the remaining amount of clay = 3.8 - 0.95 = 2.85 pounds

Now , the amount of clay used by Scott = ( 2/5 ) of the remaining

So , the amount of clay used by Scott = ( 2/5 ) x 2.85 = 1.14 pounds

And , the remaining amount of clay = 2.85 - 1.14 = 1.71 pounds

On simplifying the equation , we get

Now , the amount of clay used by Alison = 1.2 pounds

So , the remaining amount of clay = 1.71 - 1.2 = 0.51 pounds

Hence , the remaining amount of clay = 0.51 pounds

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The cyclist will pedal at given speed for minimum 1.25 and maximum 2.25 hours.

The relation between speed, distance and time is as follows -

Speed = distance ÷ time. The maximum and minimum number of hours will depend on the distance. The maximum number of hours will be spent when maximum distance is covered, and minimum number of hours will be spent when minimum distance is covered.

Maximum distance = 35 + 10

Maximum distance = 45 miles

Minimum distance = 35 - 10

Minimum distance = 25 miles

Maximum number of hours = 45 ÷ 20

Maximum number of hours = 2.25 hours

Minimum number of hours = 25 ÷ 20

Minimum number of hours = 1.25 hours

Thus, cyclist will pedal at given speed for minimum 1.25 and maximum 2.25 hours.

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The Economic Order Quantity (EOQ) formula is used to compute the optimal quantity of an inventory to order at any given time. It is calculated by minimizing the cost of ordering and carrying inventory, and it is an important element of supply chain management.

According to the problem given, the following information is given:Demand = 100 bags / weekOrder cost = $55 / orderAnnual holding cost = 25% of costDesired cycle-service level = 92%Lead time = 4 week(s) (20 working days)Standard deviation of weekly demand = 13 bagsCurrent on-hand inventory is 350 bags, with no open orders or backorders.a. To calculate the Economic Order Quantity (EOQ), we need to use the formula:EOQ = √[(2DS)/H],whereD = Demand per periodS = Cost per orderH = Holding cost per unit per period. Substitute the given values,D = 100 bags/weekS = $55/orderH = 25% of cost = 0.25Total cost of inventory = S*D + Q/2*H*DIgnoring Q, the above expression is the annual ordering cost. Since we know the annual cost, we can divide the cost by the number of orders per year to obtain the average cost per order.Substituting the given values in the above formula,

EOQ = √[(2DS)/H] = √[(2*100*55)/0.25] = 420 bags

Sam's optimal order quantity is 420 bags. Hence, the answer to this part is 420.b. To calculate the reorder point (R), we use the formula:R = dL + SS,whereL = Lead timed = Demand per dayS = Standard deviation of demandSubstituting the given values,d = 100 bags/weekL = 4 weeksS = 13 bags/week

R = dL + SS = (100*4) + (1.75*13) = 425 bags

Therefore, the reorder point is 425 bags.c. If the inventory withdrawal of 10 bags has been made, we can calculate the new on-hand inventory using the formula:On-hand inventory = Previous on-hand inventory + Received inventory – Issued inventoryIf there are no open orders,Received inventory = 0Hence,On-hand inventory = 350 + 0 – 10 = 340Since the current on-hand inventory is more than the reorder point, it is not time to reorder. Therefore, the answer to this part is "It is not time to reorder."d. Annual holding cost of the current policy is the product of the holding cost per unit per period and the number of units being held.Annual holding cost =

(350/2) * 0.25 * 55 = $481.25

The annual holding cost is $481.25.Annual ordering cost = Total ordering cost / Number of orders per yearIf we assume 52 weeks in a year,Number of orders per year = 52/4 = 13Total ordering cost = 13 * $55 = $715Annual ordering cost = $715/13 = $55Therefore, the annual ordering cost is $55.

The Economic Order Quantity (EOQ) formula is used to compute the optimal quantity of an inventory to order at any given time. Sam's optimal order quantity is 420 bags. The reorder point is 425 bags. If there is an inventory withdrawal of 10 bags, then it is not time to reorder. The annual holding cost is $481.25. The annual ordering cost is $55. The average time between orders is 4.46 weeks.

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Answer:

y = -3x + 17

Step-by-step explanation:

Line y = 1/3 x + 2

Slope = m = 1/3

Slope of perpendicular line = -1/(1/3) = -3

Line with slope -3 that passes through point (5, 2)

y = mx + b

y = -3x + b

2 = -3 × 5 + b

2 = -15 + b

b = 17

y = -3x + 17

The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. So the correct option is D.

Correlational method is a research technique used to explore the relationship between two or more variables. In this method, researchers collect data on the variables of interest and analyze their patterns of association. The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. This means that researchers are interested in exploring whether changes in one variable are associated with changes in another variable.

For instance, a researcher may be interested in exploring the relationship between stress and job performance. The researcher may collect data on the levels of stress and job performance in a sample of employees and then use statistical analysis to determine if there is a systematic relationship between the two variables. If the results show that higher levels of stress are associated with lower levels of job performance, then the researcher can conclude that there is a negative correlation between the two variables.

It is important to note that correlation does not imply causation. While a correlation between two variables indicates that they are related, it does not necessarily mean that changes in one variable are causing changes in the other variable. Therefore, researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.

Therefore, the fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way, and researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.

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Answer:

:)

Step-by-step explanation:

A) 4,4

B) 2,2

C) 4,3

Hope this helps

Answer:

Part a.

An angle bisector divides the angle into two congruent angles.

m<FGH = m<HGI

2x - 4 = 3x - 22

Subtract 2x from both sides. Add 22 to both sides.

18 = x

x = 18

Now that we know x = 18,

m<FGH = 2x - 4 = 2(18) - 4 = 36 - 4 = 32

m<FGH = 32

Part b.

m<HGI = 3x - 22 = 3(18) - 22 = 54 - 22 = 32

m<HGI = 32

Part c.

m<FGI = m<FGH + m<HGI = 32 + 32 = 64

m<FGI = 64

Step-by-step explanation:

Therefore, the average force exerted on the bucket per unit time is given by the change in momentum divided by the time interval: Δp / (1/R) = RΔp.

The average tension T in the massless rope holding the bucket is equal to the total force exerted on the bucket due to the falling rubber balls. This force is equal to the change in momentum of the balls per unit time. When a rubber ball falls into the bucket, it experiences a change in momentum due to the gravitational force acting on it.

The change in momentum is given by the product of the mass of the ball (m) and the change in velocity (v), which is equal to the velocity of the ball when it leaves the tube. Since the balls bounce back to their original height, the change in velocity is twice the initial velocity, as the ball reverses its direction. The time interval between successive ball impacts is 1/R.

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Answer:

The correct option is (D).

Step-by-step explanation:

A one-to-one function can be defined such the every value of x corresponds to exactly one value of y.

That is:

x₁ → y₁

x₂ → y₂

x₃ → y₃

.

.

.

and so on.

Consider the graph.

From the graph it can be seen that for y = 0 and y = 2 there are multiple x coordinates.

So, the graph does not represent a one-to-one function because the y-values between 0 and 2 are paired with multiple x-values.

According to the graph it can be concluded that the graph of three lines is not an one one function because the values of 'y' between 0 and 2 are paired with multiple 'x' values.

Given :

Draw the graph of the three lines in order to determine the function is one-one function or not.

The equation of the line passing through (-5,6) and (-2,0) is given by:

\(\dfrac{y-6}{x+5}=\dfrac{0-6}{-2+5}\)

\(\dfrac{y-6}{x+5}=\dfrac{-6}{3}\)

\(y-6=-2(x+5)\)

y + 2x + 4 = 0    --- (1)

The equation of the line passing through (-2,0) and (2,2) is given by:

\(\dfrac{y-0}{x+2}=\dfrac{2-0}{2+2}\)

2y = x + 2   ---- (2)

The equation of the line passing through (2,2) and (4,-2) is given by:

\(\dfrac{y-2}{x-2}=\dfrac{-2-2}{4-2}\)

y - 2 = -2(x - 2)

y + 2x = 6   ---- (3)

Now, with the help of these three equations, the graph of the three lines can be plotted. The Graph is attached below.

So, according to the graph it can be concluded that the graph of three lines is not an one one function because the values of 'y' between 0 and 2 are paired with multiple 'x' values.

Therefore, the correct option is D).

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Answer:

yeah its C. composed and ejected

Step-by-step explanation:

i took the test :) edge 2022

Answer:

Use SohCahToa to get the answer

Answer:

23

Step-by-step explanation:

is the answer to the problem

The amount of ice cream consumed in the United State would be 5,650 millions of pounds in 2028.

Based on the information provided about the mount of ice cream consumed in the United State, a quadratic equation that models the amount of ice cream consumed, in millions of pounds, since 2010 is given by;

y = 12(x - 6)² + 3922

Where:

By substituting the value of y, the number of years can be calculated as follows;

5,650 = 12(x - 6)² + 3922

5,650 - 3922 = 12(x - 6)²

1728 = 12(x - 6)²

144 = (x - 6)²

12 = x - 6

x = 12 + 6

x = 18 years.

Since 2010; 2010 + 18 = 2028.

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