When Harry mixes different materials to pave a road, he knows that they must be kept at the following temperatures in degrees Fahrenheit. Calculate the temperatures in degrees Celsius. A). Bituminous material must be between 200°F and 260°F. B). Water solution must be between 65°F and 100°F. C). The mixing gel must be between 160°F and 210°F.

Solution:

We want to get the expression equivalent to the one above;

1. Evaluate the first option;

2. Evaluate the second option;

None of these matches the required number, so the answer is NONE

Answer:

Multiply 2 i think!

Step-by-step explanation:

Hope this helped!

Answer:

Consider the finite arithmetic sequence,

Use the explicit formula for an arithmetic sequence,

...... (83.84.94.92.91.100

First term of the sequence is

Answer:

1. -53

2. 35 terms

Step-by-step explanation:

The vertex form of the equation is y = (x - 3)² - 4, which corresponds to option OD.

To convert the given equation from standard form to vertex form, we need to complete the square.

The vertex form of a parabola's equation is y = a(x-h)² + k, where (h, k) represents the vertex of the parabola.

Given equation: y = x² - 6x + 14

Move the constant term to the right side:

y - 14 = x² - 6x

Complete the square by adding and subtracting the square of half the coefficient of x:

y - 14 + 9 = x² - 6x + 9 - 9

Group the terms and factor the quadratic:

(y - 5) = (x² - 6x + 9) - 9

Rewrite the quadratic as a perfect square:

(y - 5) = (x - 3)² - 9

Simplify the equation:

y - 5 = (x - 3)² - 9

Move the constant term to the right side:

y = (x - 3)² - 9 + 5

Combine the constants:

y = (x - 3)² - 4

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Answer:

The answer is 15

Step-by-step explanation:

Simply because it’s asking for the length ON BOTH SIDES so it’s a triangle and on the top of the triangle is a D than the 2 other ends are S and A

Answer:

14g-30

Step-by-step explanation:

Combine like terms

11g+3g-9-21

14g-30

Answer:

Step-by-step explanation:

P(4 only on the last roll) = P(not 4 on first roll) and P(not 4 on the second roll) and P(not 4 on the third roll) and P(4 on the last roll)

in probability and = multiplication

P( not roll a 4) = 1 - P(roll a 4)

P(4 only on the last roll) = 1-P(4) * 1-P(4)  *1-P(4) * P(4)

P(4) = 1 (1 time# 4 appears on the die)/6 (#of possible outcomes 1,2,3,4,5,6)

P(4 only on the last roll) = 1-(1/6) * 1-(1/6)  *1-(1/6) * (1/6)

P(4 only on the last roll) =(5*5*5*1)/(6*6*6*6) = 125/1296

Answer: 125/1296

Step-by-step explanation:

Answer:

-14x

Step-by-step explanation:

-4x-10x

We want to combine terms

x( -4-10)

x(-14)

-14x

COMBINING LIKE TERMS

=================================================================

To simplify this expression, you need to combine like terms.

Like This :

\(\LARGE\texttt{-4x-10x=-14x}\)

So your answer is: -14x.

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Answer:

\(\frac{1}{5}\)

Step-by-step explanation:

There are a total of 30 number between 1 and 30, so the total events is 30.
Now for the favorable events (A: even and multiple of 3) there's a total of 5 numbers (6,12,18,24,30)

Using classic probability law the probability is given by the favorable events between the total events

\(P(A)=\frac{6}{30}=\frac{1}{5}\)

However, assuming there is a statement that involves the variable x, it would perform some operation or assign a value to x based on the specific syntax of the statement.

Without the statement provided, it is impossible to give a specific answer. Assuming the variable x has been the initialized to an integer value (e.g., x = 3), the following statement will perform an operation or action using the value of x. This could include mathematical operations, comparisons, or use within a loop or conditional statement. Without knowing the specific statement, I cannot provide a more detailed explanation of its function.

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Answer:

nah you tripping the answer is *22*.

Step-by-step explanation:

That's how I end up on harvard.

Answer:

j = 8m + 48 is correct

Step-by-step explanation:

You see that the y-intercept where x is equal to is 48, and after one month it increases by 8, so we have j = 8m + 48. You were correct

The derivate of the logarithmic function is :

f'(x) = [(4*x^3 + 2*e^2x)/(x^4 + e^2x)]

Remember that for the natural logarithm g(x) = ln(x), we have:

dg/dx = 1/x

Here we have the function:

f(x) = ln(x^4 + e^2x).

The derivate will be one over the argument (for what we wrote above) times the derivate of the argument, we will get:

f'(x) = [1/(x^4 + e^2x)]*(4*x^3 + 2*e^2x)

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The Multi-Step Campers can cut approximately 15 kite lines from the roll of string.

To determine the number of kite lines that can be cut from the roll of string, we need to convert the measurements to a consistent unit. Let's convert the length of the string roll and the kite line to yards.

Since 1 yard is equal to 3 feet, we have:

50 feet = 50/3 yards ≈ 16.67 yards (rounded to two decimal places)

Now, we can calculate the number of kite lines that can be cut from the string roll:

Number of kite lines = Total length of string roll / Length of each kite line

Number of kite lines = 250 yards / 16.67 yards ≈ 15

Therefore, the Multi-Step Campers can cut approximately 15 kite lines from the roll of string.

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Answer:

Step-by-step explanation:

There are 7+4+1=12 marbles in the bag.  The chances of drawing a green one on the first draw is 7/12.  The chance of drawing a green marble on the second draw is 6/11 (since you didn't replace the first marble you drew).

To find the probability, you just multiply these fractions: 7/12*6/11= 7/22 (reduced fraction).

The condition for two line segments to be congruent is that they must have equal length.

What is a line segment?

A geometrical figure which is a part of a straight line having two unique endpoints is called a line segment. Each point on the line segment lies within the two given endpoints

Explanation of the fact that for the two given line segments to be congruent, they must have the same length

The given statement is False. Because two line segments are said to be congruent if and only if they have exactly the same length. If we construct a ray shorter than the line segment, then both will never be congruent according to the properties of congruence. So, for these two to become congruent, they must have the same length.

Hence, we obtain that the two line segments are congruent if they have exactly the same length.

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The value for the hotspots of the similar triangles ∆ABC and ∆PWR are:

(1). angle B = 68°

(2). PQ = 5cm

(3). BC = 19.5cm

(4). area of ∆PQR = 30cm²

Similar triangles are two triangles that have the same shape, but not necessarily the same size. This means that corresponding angles of the two triangles are equal, and corresponding sides are in proportion.

(1). angle B = 180 - (22 + 90) {sum of interior angles of a triangle}

angle B = 68°

Given that the triangle ∆ABC is similar to the triangle ∆PQR.

(2). PQ/7.5cm = 12cm/18cm

PQ = (12cm × 7.5cm)/18cm {cross multiplication}

PQ = 5cm

(3). 13cm/BC = 12cm/18cm

BC = (13cm × 18cm)/12cm {cross multiplication}

BC = 19.5cm

(4). area of ∆PQR = 1/2 × 12cm × 5cm

area of ∆PQR = 6cm × 5cm

area of ∆PQR = 30cm²

Therefore, the value for the hotspots of the similar triangles ∆ABC and ∆PWR are:

(1). angle B = 68°

(2). PQ = 5cm

(3). BC = 19.5cm

(4). area of ∆PQR = 30cm²

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Answer:

\(4\sqrt{21}\)

Step-by-step explanation:

Pythagorean theorem is \(a^{2} +b^{2} =c^{2}\).

Which in this case:

'c' is hypotenuse. (hypotenuse = 20)

'a' and 'b' are the other sides. (a = x, b = 8)

Now we should just take square root from the both sides.

and the answer will be \(\sqrt{336}\) or \(-\sqrt{336}\), but a side of a triangle can not be a negative number! so the answer will be \(\sqrt{336}\).

As you see \(\sqrt{336}\) is not the simplest radical.

We can write \(\sqrt{336}\) as \(\sqrt{16 * 21}\).

And from the laws of radical we can write \(\sqrt{16*21}\) as \(\sqrt{16} * \sqrt{21}\).

\(\sqrt{16} * \sqrt{21} = \sqrt{16}\sqrt{21} = 4\sqrt{21}\)

I hope it helps you. Please choose my answer as the brainliest.

Answer:

En una semana, 1344 kilos

En un mes, 5760 kilos

Step-by-step explanation:

Tambo tiene 12 vacas y cada vaca produce un promedio de 16 litros por día.

Por lo tanto, en un día, las 12 vacas podrían producir:

12 * 16 = 192 litros

En una semana, las 12 vacas podrían producir:

192 * 7 = 1344 litros = 1344 kilos

En un mes, las 12 vacas podrían producir:

192 * 30 = 5760 litros = 5760 kilos

An equation of the plane tangent to the given surface z=ln(1+xy) at the points (0, 7, 0) and (0, -7, 0) are z = 0 at the point (0,7,0) and z = 0 at the point (0,-7,0).

To determine the tangent plane, we need to calculate the gradient of the surface at that point.

To calculate the gradient, we can use the following equation:

∇f = (df/dx) i + (df/dy) j + (df/dz) k

Here, f(x,y,z) = ln(1+xy).

Thus,df/dx = y/(1+xy), df/dy = x/(1+xy), and df/dz = 1

At the point (0,7,0), we have df/dx = 7/7 = 1 and df/dy = 0/1 = 0, since x = 0 and y = 7.

So, the gradient vector is ∇f = i. Since the gradient vector is perpendicular to the tangent plane, the equation of the tangent plane is simply x = 0, or z = 0.

Therefore, the equation of the tangent plane at (0, 7, 0) is z = 0.

At the point (0,-7,0), we have df/dx = -7/7 = -1 and df/dy = 0/1 = 0, since x = 0 and y = -7.

So, the gradient vector is ∇f = -i.

Since the gradient vector is perpendicular to the tangent plane, the equation of the tangent plane is simply x = 0, or z = 0.

Therefore, the equation of the tangent plane at (0, -7, 0) is z = 0.

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The system equation that models the amount of calories from fats (f) and proteins (p) that the individual can consume to reach 1,800 calories is: f + p = 1,200. The equation that relates calories from protein (p) to calories from fat (f) based on the prescribed diet is: p = 3f. Solving the system of equations, we find that the individual should consume 300 calories from fats and 900 calories from proteins.

To find the equation that models the amount of calories from fats and proteins that the individual can consume in order to reach 1,800 calories, we consider that 600 calories will come from carbohydrates. Since the total goal is 1,800 calories, the remaining calories from fats and proteins should add up to 1,800 - 600 = 1,200 calories. Therefore, the equation is f + p = 1,200.

Based on the prescribed diet, the individual is required to consume calories from protein that are three times the calories from fat. This relationship can be expressed as p = 3f, where p represents the calories from protein and f represents the calories from fat.

To solve the system of equations, we substitute the value of p from the second equation into the first equation: f + 3f = 1,200. Combining like terms, we get 4f = 1,200, and dividing both sides by 4 yields f = 300. Substituting this value back into the second equation, we find p = 3(300) = 900.

Therefore, the individual should consume 300 calories from fats and 900 calories from proteins to meet the diet requirements and achieve a total of 1,800 calories.

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Answer: its (4f 5) ^3

Step-by-step explanation:

Answer:

Step-by-step explanation:

sin R = opp/hyp = 11/61 = .18

sinR =.18

the angle R = sin^-1 (11/61) = 10.39°

∠R = 10.39°

The total time taken is 24 hours.

What is total time?

Total refers to a whole or full amount, and the verb "to total" means to combine two numbers or to destroy anything. In mathematics, you add integers to get the total; the outcome is the total. The result of adding 8 and 8 is 16. A automobile that has been totalled in an accident is irreparably damaged. Total Time is the result of multiplying the number of minutes in a day by the number of days in a given calendar month.

An inlet pipe takes 8 hours to fill a tank. An outlet pipe takes 12 hours to empty.

\($\Rightarrow$\) Time is taken to fill in 1 hour =1 / 8

\($\Rightarrow$\) Time taken to empty in 1 hour =-1 / 12

\($\Rightarrow$\) If both pipes are opened simultaneously tank be filled in 1 hour =1 / 8-1 / 12 =1 / 24 hours

\($\therefore$\) The total time taken is 24 hours.

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Based on the 2017 data, post-secondary teachers, dental hygienists, and librarians are three options that are expected to earn between $55,000 and $74,999 based on their median pay.

The median pay is the midpoint of a set of salaries, where half of the workers earn less and half earn more. In this case, the link provided takes us to the 2017 median pay column for various occupations.

After reviewing the data, it appears that post-secondary teachers, dental hygienists, and librarians are expected to earn between $55,000 and $74,999 based on their median pay. The median pay for post-secondary teachers is $76,000, while the median pay for dental hygienists is $74,070. Lastly, the median pay for librarians is $59,050.

It's important to note that the median pay for carpenters, firefighters, and childcare workers are below $55,000. This means that half of the workers in these occupations earn less than $55,000 per year.

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The transformation of System A into System B is:

Equation [A2]+ Equation [A 1] → Equation [B 1]"

The correct answer choice is option D

How can we transform System A into System B?

To transform System A into System B as 1 × Equation [A2] + Equation [A1]→ Equation [B1] and 1 × Equation [A2] → Equation [B2].

System A:

-3x + 4y = -23 [A1]

7x - 2y = -5 [A2]

Multiply equation [A2] by 2

14x - 4y = -10

Add the equation to equation [A1]

14x - 4y = -10

-3x + 4y = -23 [A1]

11x = -33 [B1]

Multiply equation [A2] by 1

7x - 2y = -5 ....[B2]

So therefore, it can be deduced from the step-by-step explanation above that System A is ultimately transformed into System B as 1 × Equation [A2] + Equation [A1]→ Equation [B1] and 1 × Equation [A2] → Equation [B2].

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Answer:

\(A=20 units^2\)

Step-by-step explanation:

I would separate out the shape into two equal right triangles over a square.  The total area can then be found by adding these areas together:

\(A_t=2A_\Delta +A_s\\A_t=2(\frac{1}{2}bh)+(s)^2\\b=2 units\\h=2units\\s=4units\\A_t=2[\frac{1}{2}(2units)(2units)]+(4units)^2\\A_t=4units^2+16units^2\\A_t=20units^2\)

Answer:

1 : 200000

Step-by-step explanation:

4 cm ⇒ 8 km

4 cm ⇒ 8 × 1000m

4cm ⇒ 8000m

4 cm ⇒ 8000 × 100 cm

4 cm ⇒ 800000cm

4 : 800000

\(\frac{ 4 \:\::\:\ 800000}{4}\)

1 : 200000

Therefore,

1 : n

1 : 200000

Hope this helps you.

Let me know if you have any other questions :-)