Evaluate 3x when x=4

Answer:

The quotient of the division will become a factor in a multiplication fact.

Step-by-step explanation:

In division there is a relationship between the dividend, divisor, quotient and remainder. The number which we divide is referred to as the dividend. The number by which we divide is called the divisor. The result obtained is known as the quotient. The number left over is called the remainder.

The dividend, divisor, quotient and remainder will help us to verify the answer of division. Add remainder (if there is any) with the product of divisor and quotient. The sum we get should be equal to the dividend.

The quotient of the division will become a factor in a multiplication fact.

For instance,

18 ÷ 3= 6

Where 3 is the divisor, 6 the quotient and 18 the dividend

3 × 6= 18

The quotient of the division 6 is a factor in the multiplication.

The trigonometry identity is  [tex]\tan x=\frac{\sin x}{\cos x}[/tex].

What is trigonometry ratios?

Trigonometric ratios are the ratios of the sides of a right triangle. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

The tan x is given by (sin x)/ (cos x) as the formula is  [tex]\tan x=\frac{\sin x}{\cos x}[/tex].

This is same as option B.

Therefore, the correct answer is  [tex]\frac{\sin x}{\cos x}[/tex] which is option B.

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Answer:

C. the use of a series of numbers in which each number is an equal distance from the next.

Step-by-step explanation:

The four characteristics of mapping rules are:

1. Classification: This is the grouping of data or information based on given criteria.

2. Order: this is the chronological arrangements of numbers.

3. DISTANCE: This is the range or difference between one unit to the other.

4. Origin

Answer:

Y < -1/4x + 2

Step-by-step explanation:

Under S would be 1 and 9 under E would be 2 6 8 10 and 12 and 4 goes in the middle

Answer and Step-by-step explanation:

First, from this set of numbers determine which ones are square numbers. Remember that square numbers are those that can be written in the form of k^2, where k is a number.

Square numbers: 1 (because 1^2 = 1), 4 (because 2^2 = 4), and 9 (because 3^2 = 9)  ⇒  There are 3 square numbers

Next, find the number of even numbers.

Even numbers: 2, 4, 6, 8, 10, and 12  ⇒  There are 6 even numbers

Place all the 3 square numbers inside the S circle and all the 6 even numbers in the E circle. However, notice that one number, 4, is both a square number and an even number, so put 4 in the shared portion.

Hope this helps!

Answer:

78949

Step-by-step explanation:

v = Bh = πr²h = 3.14 x (3x - 4)² x (11x + 10)             x = 7

  = 3.14 x (21 - 4)² x (77 + 10)

  = 3.14 x 289 x 87

  = 78949

Answer:

Width 10y^6 units

Length 7y^2+3 units

Step-by-step explanation:

Answer:

x=136

Step-by-step explanation:

The sum of the angles inside a quadrilateral add to 360, so

79+55+110+x=360

Combine like terms

224+x=360

Subtract 224 from both sides

x=136

Answer:

  16 minutes

Step-by-step explanation:

The number of minutes is expected to be proportional to the number of walls and inversely proportional to the number of minutes. Relative to the effort given, the number of walls is a factor of 4/9, and the number of people is a factor of 7/4. Hence the number of minutes will be ...

  (63 min)×(4/9)×1/(7/4) = (63 min)×(16/63) = 16 min

It will take 16 minutes for 7 people to paint 4 walls.

Question not well presented.

See correct question presentation below

A plane with equation (x/a) + (y/b) + (z/c) = 1, where a,b,c > 0 together with the positive coordinate planes form a tetrahedron of volume V = (1/6)abc. Find the plane that minimizes V if the plane is constrained to pass through the point P(2,1,1).

Answer:

The plane is x/6 + y/3 + z/3 = 1

Step-by-step explanation:

Given

Equation: (x/a) + (y/b) + (z/c) = 1 where a,b,c > 0

Minimise, V = (1/6) abc subject to

the constraint g = 2/a + 1/b + 1/c = 1

First, we need to expand V

V = (abc)/6

Possible combinations of V taking 2 constraints at a time; we have

(ab)/6, (ac)/6 and (bc)/6

Applying Lagrange Multipliers on the possible combinations of V, we have:

∇V = λ∇g

This gives

<bc/6, ac/6, ab/6> = λ<-2/a², -1/b², -1/c²>

If we equate components on both sides, we get:

(a²)bc/12 = -λ = a(b²)c/6 = ab(c²)/6

Solving for a, b and c;

First, let's equate:

(a²)bc/12 = a(b²)c/6 -- divide through by abc, we have

a/12 = b/6 --- multiply through by 12

12 * a/12 = 12 * b/6

a = 2 * b

a = 2b

Then, let's equate:

(a²)bc/12 = ab(c²)/6 -- divide through by abc, we have

a/12 = c/6 --- multiply through by 12

12 * a/12 = 12 * c/6

a = 2 * c

a = 2c

Lastly, we equate:

a(b²)c/6 = ab(c²)/6 -- divide through by abc, we have

b/6 = c/6 --- multiply through by 6

6 * b/6 = 6 * c/6

b = 2

Writing these three results, we have

a = 2b; a = 2c and b = c

Recalling the constraints;

g = 2/a + 1/b + 1/c = 1

By substituton, as have

2/(2c) + 1/c + 1/c = 1

1/c + 1/c + 1/c = 1

3/c = 1

c * 1 = 3

c = 3

Since a = 2c;

So, a = 2 * 3

a = 6

Similarly, b = c

So, b = 3

So, the plane: (x/a)+(y/b)+(z/c)=1;

By substituton, we have

x/6 + y/3 + z/3 = 1

Hence, the plane

So the plane is x/6 + y/3 + z/3 = 1

The equation of the plane that minimizes the volume of the tetrahedron and passes through the point (2,1,1) is x + z = 1.

To find the plane that minimizes the volume of the tetrahedron, we need to find the equation of the plane that passes through the point P=(2,1,1) and has coefficients a, b, and c. We can substitute the coordinates of the point into the equation of the plane and solve for the a, b, and c.

Substituting the coordinates of P into the equation of the plane gives 2a + b + c = 1. Since a, b, and c are all greater than 0, we can set a = 1, b = 0, and c = 1.

Therefore, the equation of the plane that minimizes the volume of the tetrahedron is x + z = 1.

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Missouri's area is approximately 63,990 square miles, making it the correct option B.

To calculate the area of Missouri, we'll use the formula for the area of a trapezoid:

[tex]\( A = \frac{1}{2} \times (b_1 + b_2) \times h \)[/tex], where

[tex]\( b_1 \)[/tex] and [tex]b_2[/tex] are the lengths of the bases and h is the height.

Given:

b₁ = 198 miles

b₂ = 276 miles

h = 270 miles

Substituting these values into the formula:

[tex]\( A = \frac{1}{2} \times (198 + 276) \times 270 \)[/tex]

[tex]\( A = \frac{1}{2} \times 474 \times 270 \)[/tex]

[tex]\( A = \frac{1}{2} \times 127,980 \)[/tex]

A = 63,990 square miles

So, the correct answer is B. 63,990 mi².

Complete Question:

Missouri has a shape that is similar to a trapezoid with bases of 198 miles and 276 miles and a height of 270 miles. What is the area of the state?

A. 126,360 mi²

B. 63,990 mi²

C. 54,918 mi²

D. None of the Above

answer: 6,628.6

you do 3.5 x 2.5 and get 8.75

then divide 58,000 by 8.75 to get the answer

To calculate the density of pixels on the television, divide the total number of pixels by the actual area of the television screen. Use the scale drawing to find the actual area of the television screen. In this case, the density of pixels on the television is 5.8 pixels per square unit.

The density of pixels on the television can be calculated by dividing the total number of pixels by the total area of the television screen. In this case, the total number of pixels is given as 58,000. To find the area of the television screen, we need to use the scale drawing. Let's say the scale factor is 1:100. If we represent the actual area of the television screen as A, and the area shown on the scale drawing as D, we can set up the equation A/D = 1/100. Rearranging the equation, we have A = D * 100. Now we can substitute the value of D, which is the area shown on the scale drawing, into the equation. So, if the area shown on the scale drawing is 100 square units, the actual area of the television screen would be 100 * 100 = 10,000 square units. Finally, we can calculate the density of pixels by dividing the total number of pixels (58,000) by the actual area of the television screen (10,000). The density of pixels on the television is therefore 5.8 pixels per square unit.

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Answer:

Step-by-step explanation:

The tens place because 3746 rounded to nearest hundred is 3700 and 3746 rounded to the nearest ten is 3750

Final answer:

3,746 rounded to the nearest ten is 3,750, which is greater than 3,746 rounded to the nearest hundred, which is 3,700.

Explanation:

When comparing which is greater, 3,746 rounded to the nearest hundred or to the nearest ten, it's important to understand the concept of rounding. Rounding to the nearest hundred, we consider the tens digit, which is 4, and since it's less than 5, we round down to 3,700. When rounding to the nearest ten, we look at the ones digit, which is 6, and since it's 5 or greater, we round up to 3,750.

Therefore, 3,750 (rounded to the nearest ten) is greater than 3,700 (rounded to the nearest hundred).

Answer:b

Step-by-step explanation:

I took the text

Answer:

b

Step-by-step explanation:

Answer:  4500000

Step-by-step explanation:

10^6 = 1000000

1000000 x 4.5 = 4500000

Answer = 4500000

Answer:

4500000

Step-by-step explanation:

Answer: 55/72

Step-by-step explanation:

Answer:

55/72

Step-by-step explanation:  

5/6×11/12

=5 × 11/6 × 12

=55/72

Answer:

I dont understand math either

Answer:

1689 MAE

Step-by-step explanation:

The measure of the arc AE is 120°

We can solve this with the Intersecting Secant Angles Theorem.

That theorem says that:

∠ACE = (mAE - mBD)/2

so

36 = (mAE - 48)/2

so,

mAE - 48 = 72 => mAE = 72 + 48 = 120°

therefore, the measure of the arc AE is 120°

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Answer:

A. a testable scientific question

Answer:

the answer is A beacuse it is a testable dientific questuon

In this line equation y=3x+9, you find the values of x and y by plugging in different x-values and calculate corresponding y-values. These (x,y) pairs are points on the line which can be represented on the graph.

The subject of this question is Mathematics, specifically equations of a line. Looking at the initial line equation, the form appears to be y = mx + b, where m is the slope and b is the y-intercept. Based on the given information, m is set to 3 and b to 9.

To find values of x and y, you plug different x-values into the equation and solve for y. For example, if x=1, y would be 3×1+9=12. Thus, for x=1, y=12. This applies on this line for all different x-values.

Remember: different values of x will correspond to different values of y. This relation can be represented graphically by plotting these (x,y) pairs on a graph, and drawing a line through them.

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Answer:

We conclude that the new hybrid car has a mean gas mileage of less than 50 miles per gallon which means that the advertiser’s statement is too high.

Step-by-step explanation:

We are given that an automobile manufacturer advertises that its new hybrid car has a mean gas mileage of 50 miles per gallon.

A simple random sample of 30 hybrid vehicles is taken and tested their gas mileage. It was found that in this sample, the average is x = 47 miles per gallon with a standard deviation of s = 5.5 miles per gallon.

Let [tex]\mu[/tex] = mean gas mileage of new hybrid car.

SO, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu \geq[/tex]  50 miles per gallon   {means that the new hybrid car has a mean gas mileage of more than or equal to 50 miles per gallon}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] < 50 miles per gallon   {means that the new hybrid car has a mean gas mileage of less than 50 miles per gallon}

The test statistics that will be used here is One-sample t test statistics as we don't know about the population standard deviation;

                       T.S.  = [tex]\frac{\bar X -\mu}{\frac{s}{\sqrt{n} } }[/tex]  ~ [tex]t_n_-_1[/tex]

where, [tex]\bar X[/tex] = sample average gas mileage = 47 miles per gallon

             s = sample standard deviation = 5.5 miles per gallon

             n = sample of hybrid vehicles = 30

So, test statistics  =  [tex]\frac{47-50}{\frac{5.5}{\sqrt{30} } }[/tex]  ~ [tex]t_2_9[/tex]   

                               =  -2.988

Now at 0.1 significance level, the t table gives critical value of -1.311 at 29 degree of freedom for left-tailed test. Since our test statistics is less than the critical value of t as -1.311 > -2.988, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the new hybrid car has a mean gas mileage of less than 50 miles per gallon which means that the advertiser’s statement is too high.

Answer:

12.1244 or [tex]\sqrt{147}[/tex]

Step-by-step explanation:

Use the Pythagorean Theorem and solve for b^2:

7^2+b^2= 14^2

Simplify:

49+b^2= 196

Subtract 49 from both sides:

49-49+b^2= 196-49

Simplifly:

b^2= 147

Unsquare both sides:

[tex]\sqrt{b} = \sqrt{147}[/tex]

Final answer:

The probability that Alex applies for his first sick leave on the fifth day is approximately 0.049, assuming that the likelihood of taking a sick day is consistent and independent across all days.

Explanation:

The probability that Alex applies for his first sick leave on the fifth day can be determined using the information given about the second day and the independent nature of the sick leave events. Since the probability of Alex taking his first sick leave on the second day is 0.21, and it is given that the probability of taking a sick day is the same for each day and is independent, we can infer that the probability of not taking a sick leave on any given day is 1 - 0.21 = 0.79. Therefore, for Alex to take his first sick leave on the fifth day, he must not take sick leave on the first four days and then take leave on the fifth, so the probability is calculated as:

(0.79 x 0.79 x 0.79 x 0.79) x 0.21 ≈ 0.049

Here, (0.79)^4 represents the probability that Alex does not take sick leave for the first four days, and 0.21 represents the probability that he takes his first sick leave on the fifth day.

The probability that Alex applies for his first sick leave on the fifth day is 0.0729.

To find this, we need to follow these steps:

1. The probability that he applies for sick leave for the first time on the second day is 0.21. This means he must have been at work on the first day and then applied for sick leave on the second day. Since the events are independent, the probability that he does not apply for sick leave on any day is [tex]\(1 - P(\text{sick leave})\)[/tex]. Therefore, we have [tex]\( P(\text{work on first day}) \times P(\text{sick leave on second day}) = 0.21 \)[/tex].

2. Let ( p ) be the probability that Alex applies for sick leave on a given day. We then have [tex]\( (1-p) \times p = 0.21 \)[/tex].

3. To solve for ( p ), we can find the square root of 0.21, since [tex]\( p^2 = 0.21 \) if \( p = 1-p \)[/tex], which is true when [tex]\( p < 0.5 \)[/tex].

4. The probability that Alex applies for his first sick leave on the fifth day is [tex]\( (1-p)^4 \times p \)[/tex]. We calculate [tex]\( (1-p)^4 \)[/tex] using the ( p ) we found from the square root of 0.21 and then multiply by ( p ).

Let's calculate \( p \) and then use it to find the probability for the fifth day.

There seems to be a mistake in the calculation. I incorrectly assumed that the probability of not taking a sick leave (\(1 - p\)) squared would be equal to the probability of taking the first sick leave on the second day, which isn't necessarily true given that \( p \) is less than 0.5 but not necessarily \( p = 1 - p \).

Let's go through the calculations again step by step:

1. Let ( p ) be the probability that Alex applies for sick leave on a given day. The probability that he does not apply for sick leave on any day is therefore(1 - p).

2. Since the events are independent, the probability that Alex applies for his first sick leave on the second day (having worked on the first day) is the product of the probability that he did not take a sick leave on the first day and the probability that he did take a sick leave on the second day, which can be represented as ( (1 - p) times p ).

3. Given that the probability for the second day is 0.21, we can set up the equation ( (1 - p) times p = 0.21 \) and solve for( p ).

4. Using the value of ( p ) found from the equation, we can then calculate the probability that Alex applies for his first sick leave on the fifth day, which would be [tex]\( (1 - p)^4 \times p \).[/tex]

( p ) from the equation and then determine the probability for the fifth day.

The probability that Alex applies for his first sick leave on the fifth day is exactly [tex]\( 0.07203 \)[/tex]. This was calculated by first determining the daily probability of taking sick leave, which is [tex]\( 0.3 \)[/tex], and then using it to calculate the probability of not taking a sick leave for the first four days and then taking one on the fifth day.

Answer:

B) 120

Step-by-step explanation:

(n-2)*180 =

n = 6 (In a hexagon)

(6-2)  * 180 = 4*180

720

720/6 = 120

Answer:

B) 120

Step-by-step explanation:

Total angle in a hexagon:

(6 - 2) × 180

720

Regular polygon has all sides/angles equal

720/6 = 120° each

Answer:

80°

Step-by-step explanation:

Hello all triangles equal 180 degrees. So, with that being said to solve this you need to do 180-22-78 Which equals 80

Answer:

The third angle is 80 degrees

Step-by-step explanation:

In math, the rule is such that for all triangles, regardless of what kind they are, whether or not the sides are equal or all not equal to each other, the sum of the interior angles must add up to 180 degrees.

Given a cone and a cylinder with the same radius and height, it would take three scoops (cone volumes) to fully fill the cylinder (bucket). So, to fill it 15 times, it would require 45 scoops.

To answer this question, it's critical to understand the concept of volume. The formula for the volume of a cone is 1/3πr²h, and the volume of a cylinder is πr²h. Both the cone and the cylinder have the same radius ('r') and height ('h'), thus the cone's volume is a third of the cylinder's. Hence, it would take three scoops to fill the bucket once.

Since we want to fill the bucket 15 times, we multiply 15 by 3, so it would take 45 scoops of water to fill the bucket 15 times.

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Answer:

v ≈ - 5.29, v ≈ 5.29

Step-by-step explanation:

Given

3v² - 84 = 0 ( add 84 to both sides )

3v² = 84 ( divide both sides by 3 )

v² = 28 ( take the square root of both sides )

v = ± [tex]\sqrt{28}[/tex]

Thus

v = - [tex]\sqrt{28}[/tex] ≈ - 5.29

v = [tex]\sqrt{28}[/tex] ≈ 5.29

Answer: 42

Step-by-step explanation:

30x21=630

630 divided by 15= 42

42x15= 630