Graph the function 2 3^sqrt x+2 +4​

In architecture, how can understanding angle pairs help in designing and constructing buildings with stability and strength?

In surveying and navigation, how can angle pairs be used to calculate distances between two points or to determine the direction of a particular location?

Angle pairs refer to two or more angles that are related to each other in some way.

Here are two real-world questions about angle pairs:

In architecture, how can understanding angle pairs help in designing and constructing buildings with stability and strength?

In surveying and navigation, how can angle pairs be used to calculate distances between two points or to determine the direction of a particular location?

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-1/7, since parallel lines have equal slopes.

The probability of rolling an integer is

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

Sides = 6

Integer sides = 6

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

P(Integer) = Integer sides/Total sides

So, we have

P(Integer) = 6/6

Evaluate

P(Integer) = 1

Hence, the probability is 1

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The remainder when f(x) = x³ - 5x² + 4x - 10 is divided by (x + 5) is (b) -280

The functions are given as

f(x) = x3 − 5x2 + 4x − 10 is divided by (x + 5)

Rewrite them as

f(x) = x³ - 5x² + 4x - 10 is divided by (x + 5)

Set the divisor to 0

So, we have

x + 5 = 0

Determine the value of x

This gives

x = -5

By the remainder theorem

Substitute x = -5 in the function f(x)

So, we have

f(-5) = (-5)³ - 5(-5)² + 4(-5) - 10

Evaluate the expression

f(-5) = -280

By the remainder theorem, this represents the remainder

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Answer:  3/5 inches

Step-by-step explanation:

l= 5w+7

A = wl

w(5w+7) = 6

5w²+7w = 6

5w²+7w -6 = 0

5w²+10w-3w-6=0

5w(w+2)-3(w+2)=0

(5w-3)(w+2)=0

5w-3=0            w+2=0

   5w=3                w=-2in

     w=3/5in

width cannot be negative, so the width is 3/5 inches.

Answer:

301,250,000

I'm pretty sure that's it.

Answer:

m= -5x+6y all over k

Step-by-step explanation:

first, move over 5x to get -5x+6y. then divide it by k and thats your answer.

Answer:

m=6y/k - 5x/k

Step-by-step explanation:

Isolate the variable by dividing each side by factors that dont contain the variable

Rewrite the fractions to have a common denominator to find the difference:

2/3 = 4/6

Difference = 4/6-5/6 = -1/6

Sequence formula = an = a1 + d(n-1)

A1 is the first term 5/6

And d = -1/6

Sequence = 5/6 -1/6(n-1)

Simplify to get an =(-n +6)/6

Answer:

500000000

Step-by-step explanation:

10000000 ÷ 0.02

Answer:

Area of a parallelogram is base times height. Note that CD = AB & AD = BC

to find the height, draw a line from angle B perpendicular to the base b. Lets call the point of intersection at the base E. This constitutes a right triangle with AB as the hypotenuse. Using the law of sine to calculate the height h:

h/sin(A) = AB/sin(90°) ( sin(90°) = 1)

h = AB * sin(45°)

h = 10 * sin(45°)

Area = 14 * 10 * sin(45°) = 140 * sin(45°) ≈ 98.99 QEDexplanation:

The circumference of the tire rim is approximately 47.1 inches.

The perimeter is the circumference of a circle or ellipse. In other words, the circumference is the length of the arc when the circle is expanded and straightened into a line segment. More generally, the perimeter is the length of the curve around the closed figure.

The circumference of a circle is the distance around its outer edge. It can be calculated by multiplying the diameter of the circle by π (pi), where π is a mathematical constant approximately equal to 3.14.

In this case, the given diameter of the tire rim is 15 inches. By substituting this value into the formula, we can find the circumference:

Circumference = π * diameter

Circumference = 3.14 * 15

Circumference ≈ 47.1 inches

So, the circumference of the tire rim is approximately 47.1 inches.

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The Binary Search Tree is as follows:

                                                   E

                                            /            \

                                         S                T

                                        /                    \

                                      I                       W

                                   /                            \

                                A                               M

                              /                                    \

                             C                                     G

                              \

                                D

The set of letters is {I, D, S, A, E, T, C, G, M, W} and len (I, D, S, A, a) = 5

Binary Search Tree:The binary search tree based on the alphabetical ordering of the letters is:

post-order sequence is: C, D, A, G, M, I, W, T, S, E.

To draw the binary search tree for the given post-order sequence, follow the steps below:

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Answer:

Proportional: Non-Proportional: How to tell the difference: A proportional graph is a straight line that always goes through the origin. A non-proportional graph is a straight line that does not go through the origin.

Step-by-step explanation:

The total cost of each utility eliminating 450 tons of pollution is $180,000.

To calculate the total cost for each utility to eliminate 450 tons of pollution, we need to multiply the cost per ton of pollution elimination by the number of tons each utility needs to eliminate.

For People's Electric, the cost of eliminating one ton of pollution is $400. So, to eliminate 450 tons, the total cost would be 450 tons * $400/ton = $180,000.

For Municipal Energy, the cost of eliminating one ton of pollution is $350. Again, to eliminate 450 tons, the total cost would be 450 tons * $350/ton = $157,500.

Therefore, the total cost for each utility to eliminate 450 tons of pollution is $180,000 for People's Electric and $157,500 for Municipal Energy.

The cost calculation is based on the given information that each utility is provided with 450 pollution permits by the government. These permits allow them to legally produce a ton of pollution. By setting a limit on the number of permits, the government aims to reduce pollution by half. The utilities have the option to trade permits with each other.

In this scenario, People's Electric has a higher cost of eliminating pollution per ton compared to Municipal Energy ($400 vs. $350). It means that People's Electric would find it more expensive to reduce pollution through internal measures like investing in cleaner technology or implementing environmental initiatives. On the other hand, Municipal Energy has a lower cost, indicating that they have relatively more cost-effective methods for pollution reduction.

Given these costs, it is more beneficial for People's Electric to purchase permits from Municipal Energy rather than eliminating the pollution themselves. By purchasing permits, People's Electric can meet the pollution reduction target at a lower cost. Conversely, Municipal Energy can generate additional revenue by selling their permits.

This permit trading mechanism allows for cost efficiency in achieving the government's pollution reduction goal. The total cost for each utility is determined by multiplying the cost per ton of pollution elimination with the number of tons they need to eliminate.

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Answer:

2x^2 + 19x + 9

Step-by-step explanation:

Using the FOIL method (ask me via comments if you don't know what it is), we expand it to 2x^2 + 18x + x + 9, then we add like terms, equal to 2x^2 + 19x + 9.

The trinomial expression for (2x + 1)(x + 9) is \(2x^2 + 19x + 9\).

To express (2x + 1)(x + 9) as a trinomial, you need to perform the multiplication.

Distribute each term from the first parenthesis to each term in the second parenthesis:

(2x + 1)(x + 9) = 2x * x + 2x * 9 + 1 * x + 1 * 9

Now, simplify the expression:

\(= 2x^2 + 18x + x + 9\)

Finally, combine like terms:

\(= 2x^2 + 19x + 9\)

So, (2x + 1)(x + 9) expressed as a trinomial is \(2x^2 + 19x + 9.\)

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The correct answer to the given question is "True."

Cross-sectional design involves the systematic collection of responses to a consumer survey instrument from one or more samples of respondents at one point in time. The main purpose of the cross-sectional design is to gather information about a population at a specific time or period. Cross-sectional research is frequently used in psychology, epidemiology, marketing research, and other fields. The word "systematic" is used in the question, which implies a methodical or orderly procedure. Cross-sectional design gathers information through a systematic and organized method. Therefore, it is true that cross-sectional design involves the systematic collection of responses to a consumer survey instrument from one or more samples of respondents at one point in time.

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Answer:

3km = 3000000 milimeters = 3000000mm

Step-by-step explanation:

1 km = 1000 meters

1 meter = 1000 milimeters

then:

1km = 1000*1000 = 100000 milimiters = 1000000mm

3km = 3*1000000 = 3000000 milimeters

The t value will be the result that is  58.851995039

The t-statistic for the observed correlation coefficient of 0.951 can be calculated to determine if it is statistically significant. Using the T.INV() spreadsheet function and the appropriate degrees of freedom.

We can test the null hypothesis of no correlation at the 5% significance level. Additionally, the T.DIST() function can be used to calculate the p-value of the t-statistic.

To calculate the t-statistic, we need to know the sample size (n) and the observed correlation coefficient (r). In this case, we have 37 monthly observations and a correlation coefficient of 0.951. The t-statistic can be calculated using the formula t = r x sqrt((n - 2) / (1 - r^2)). Plugging in the values, we find t = 0.951 x sqrt((37 - 2) / (1 - 0.951^2)).

By comparing this t-statistic to the critical value at the desired significance level (5% in this case), we can determine if the null hypothesis of no correlation can be rejected. Additionally, the p-value can be calculated using the T.DIST() function to determine the probability of obtaining a t-statistic as extreme as the observed value. If the p-value is less than the chosen significance level, the null hypothesis can be rejected.

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Answer:

$1.82 per cup

Step-by-step explanation:

REMEMBER:16cups per gallon

2 x 16 = 32

58.24 divided by 32 = 1.82

Option A, For the aptitude puzzle, the number of ways each of people has the same number of internet friends is 60.

We want to count the number of ways that the 6 people can be internet friends with each other given that each person has the same number of internet friends and no one has an internet friend outside of the group.

Let k be the number of internet friends each person has. Since each person knows 5 other people in the group, we have 6k = 5 * 6, which means that k=5.

Thus, each person has 5 internet friends. We can choose these 5 friends in 5 to choose 5 times 4 choose 5 times 3 choose 5 times 2 choose 5 times 1 choose 5 = 1 × 0 × 0 × 0 × 0 = 0 ways since we can't choose 5 friends from fewer than 5 people.

Therefore, the answer is (A) 60.

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The question is -

Adam, Benin, Chiang, Deshawn, Esther, and Fiona have internet accounts. Some, but not all, of them are internet friends with each other, and none of them has an internet friend outside this group. Each of them has the same number of internet friends. In how many different ways can this happen?

a. 60

b. 170

c. 290

d. 320

e. 660

Answer:

2.25 s.

Step-by-step explanation:

We'll begin by calculating the time taken for the object to get to the maximum height from the point of projection. This can be obtained as follow:

Initial velocity (u) = 30 ft/s

Final velocity (v) = 0 ft/s (at maximum height)

Acceleration due to gravity (g) = 9.8 m/s² = 3.28084 × 9.8 = 32.15 ft/s²

Time (t₁) to reach the maximum height from the point of projection =?

v = u – gt₁ (since the object is going against gravity)

0 = 30 – (32.15 × t₁

0 = 30 – 32.15t₁

Collect like terms

0 – 30 = – 32.15t₁

– 30 = – 32.15t₁

Divide both side by – 32.15

t₁ = –30 / –32.15

t₁ = 0.93 s

Next, we shall determine the maximum height reached by the object from the point of projection.

This can be obtained as follow:

Initial velocity (u) = 30 ft/s

Final velocity (v) = 0 ft/s (at maximum height)

Acceleration due to gravity (g) = 9.8 m/s² = 3.28084 × 9.8 = 32.15 ft/s²

Maximum height (h) reached from the point of projection =?

v² = u² – 2gh (since the object is going against gravity)

0² = 30² – (2 × 32.15 × h)

0 = 900 – 64.3h

Collect like terms

0 – 900 = – 64.3h

– 900 = – 64.3h

Divide both side by – 64.3

h = –900 / –64.3

h = 14 ft

Thus, the maximum reached by the object from the point of projection is 14 ft.

Next, we shall determine the height to which the of object is located from the maximum height reached to the ground. This can be obtained as follow:

Height (h₀) from which the object was projected = 14 ft

Maximum Height (h) reached from the point of projection = 14 ft

Height (hₗ) to which the of object is located from the maximum to the ground =?

hₗ = h₀ + h

hₗ = 14 + 14

hₗ = 28 ft

Thus, the height to which the of object is located from the maximum reached to the ground is 28 ft.

Next, we shall determine the time taken for the object to get to the ground from the maximum height reached. This can be obtained as follow:

Height (hₗ) to which the of object is located from the maximum to the ground = 28 ft

Acceleration due to gravity (g) = 9.8 m/s² = 3.28084 × 9.8 = 32.15 ft/s²

Time (t₂) taken for the object to get to the ground from the maximum height reached =?

hₗ = ½gt₂²

28 = ½ × 32.15 × t₂²

28 = 16.075 × t₂²

Divide both side by 16.075

t₂² = 28 / 16.075

Take the square root of both side

t₂ = √(28 / 16.075)

t₂ = 1.32 s

Finally, we shall determine the time take for the object to get to the ground from the point of projection. This can be obtained as follow:

Time (t₁) to reach the maximum height from the point of projection = 0.93 s

Time (t₂) taken for the object to get to the ground from the maximum height reached = 1.32 s

Time (T) take for the object to get to the ground from the point of projection =?

T = t₁ + t₂

T = 0.93 + 1.32

T = 2.25 s.

Therefore, the time take for the object to get to the ground from the point of projection is 2.25 s.

Answer:

21,500

I don't really know if its right so don't count on this too much.

Step-by-step explanation:

Answer:

Step-by-step explanation:

given:

crane capacity = 17,000 kg

bucket mass = 3,000 kg

gravel mass = 1,500 kg/m³

find:

how many cubic meters of gravel (g) can be safely lifted by the crane?

crane capacity = 17,000 - 3,000

                        = 14,000 kg

volume of gravel with respect to crane's capacity:

vol. =   14,000 kg

          1,500 kg/m³

      = 9.33 m³ (say 9 m³)

therefore, the crane can safely lift the bucket + 9 m³ of gravel

Answer:

x = 4

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define

2.4x + 4.6x = 28

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

Here we see that 28 does indeed equal 28.

∴ x = 4 is a solution of the equation.

Answer:

12

Step-by-step explanation:

8+8+9+11+24=60

60/5=12

\(\huge\textsf{Hey there!}\)

\(\large\text{Well, you know that mean means average. You have to find the}\\\large\text{sum of all of the number in the data set and divide the sum by}\\\large\text{by the total numbers in the data.}\)

\(\mathsf{\dfrac{8+8+9+11+24}{5}}\)

\(\mathsf{8 + 8 + 9 + 11 + 24}\\\mathsf{8 + 8 = \boxed{\bf 16}}\\\mathsf{= 16 + 9 + 11 + 24}\\\mathsf{16 + 9 = \boxed{\bf 25}}\\\mathsf{= 25+11+24}\\\mathsf{25+11=\boxed{\bf 36}}\\\mathsf{36+ 24}\\\boxed{= \mathsf{\bf 60}}\)

\(\mathsf{\dfrac{60}{5}}\\\\\\\mathsf{= \dfrac{60\div5}{5\div5}}\\\\\\\mathsf{= 60\div5\rightarrow\boxed{\bf 12}}\\\\\\\mathsf{= 5\div5\rightarrow\boxed{\bf 1}}\\\\\mathsf{\rightarrow \dfrac{12}{1}= \boxed{\bf 12}}\)

\(\boxed{\boxed{\large\textsf{Answer: \huge Your \bf {MEAN is 12}}}}\huge\checkmark\)

\(\large\textsf{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

Part A: Determine the length of the leach- 17FT

Part B: Find the area of the mainsail-64.81FT2

Step-by-step explanation:

The mainsail foot is 13 feet long, the luff is 10 feet long has the length of the leach 6.93 ft and the area of the mainsail is 64.85 \(\rm ft^{2}\).

The mainsail foot is 13 feet long, the luff is 10 feet long, and the luff makes a 50° angle at the head with the leach, the length of the leach and the area of mainsail is requird.

The law of sines refers to the ratio of side length of triangle to the sine of the opposite angle which is same for all the sides.

SinA / a = SinB/ b = SinC/c

where, the A,B,C are the angle of the triangle and a,b,c are the opposite sides of the angle of triangle.

Part A

By using the sines law,

SinA /10 = SinB / 13

SinA /10 = Sin50 / 13

A = 36.10

C = 180-(180-36.10)

C = 93.90

So, Sin36.10 / a = Sin50/ b = Sin93.90/c

Sin36.10 / 10 = Sin50/ 13 = Sin93.90/c

c = Sin93.90 × 13 ÷ Sin50

c = 16.93 ft

Part B

Area of the mainsail = 1/2 × abSinC

                                  = 1/2 × 10 × 13 × Sin93.90

                                  =  64.85 \(\rm ft^{2}\)

Therefore, the length of the leach is 16.93 ft and the area of the mainsail is 64.85 \(\rm ft^{2}\).

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Answer:

-43/50

(decimal) = -0.86

Step-by-step explanation:

Find the LCD which is 50.

16/25 will be multiplied by 2 (because 25 x 2 = 50) so it will then equal 32/50

3/2 will be multiplied by 25 (2 x 25 = 50) = 75/50

subtract them which will give you -43/50

Answer:

so irrational numbers cannot be written in a fractional form and rational numbers are finite.. both numerator and denominator are whole numbers