solving equations with varibles on both sides answe:
0.75x+4=6x

Answer:

48

Step-by-step explanation:

base times hight times times 1/2

24X4X1/2

Answer: choice 4: 48

Step-by-step explanation:

to get the area of a triangle, you multiply the width times the height divided in half. So you get:

1. 24*4= 96

2. 96/2= 48

The reason to reject the hypothesis is option b. Reject H0 if the z score (standardized test statistic) is greater than 2.576.

In the given scenario, we are conducting a hypothesis test with the null hypothesis H0: μ ≤ 25.6, where μ is the population mean. We are given a sample size of n = 55 and a level of significance at α = 0.01.

To perform the hypothesis test, we need to calculate the z-score, which is a standardized test statistic.

In this scenario, since the null hypothesis is a less than or equal to hypothesis, the alternative hypothesis would be a greater than hypothesis. Therefore, the critical region will be in the right tail of the distribution.

To determine the critical value, we can use a standard normal distribution table or a calculator. At α = 0.01, the critical value is 2.326.

So, the correct answer to when we should reject H0 is option (b).

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The quantity with the fewest number of significant figures.

What is significant figures?

When multiplying two measured values the number of significant figures should be equal to the?

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Answer:

the average is 64.4

Step-by-step explanation:

average = mean = sum of observation/no of observations

=76+45+87+90+62+34+56+93+88+13/10

=644/10

=64.4

The FORTRAN program to compute the sine function and cosine function are written.

Here's the FORTRAN program to compute the sine function using the power series expansion in one line:

program SinFunction

 implicit none

 integer :: i, n

 real :: x, term, result

 write(*,*) "Enter the value of x: "

 read(*,*) x

 term = x

 result = term

 n = 1

 do i = 1, 10

   term = -term * x * x / ((2 * n) * (2 * n + 1))

   result = result + term

   n = n + 1

 end do

 write(*,*) "sin(", x, ") =", result

end program SinFunction

And here's the FORTRAN program to compute the cosine function using the power series expansion in one line:

program CosFunction

 implicit none

 integer :: i, n

 real :: x, term, result

 write(*,*) "Enter the value of x: "

 read(*,*) x

 term = 1.0

 result = term

 n = 1

 do i = 1, 10

   term = -term * x * x / ((2 * n - 1) * (2 * n))

   result = result + term

   n = n + 1

 end do

 write(*,*) "cos(", x, ") =", result

end program CosFunction

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Observe from the data that a director of manufacturing must persuade management that the proposed production process cuts costs in order for the new way to be implemented.

The average cost of the present production process is $220 per hour.

What does "cost" mean?

The sum paid for anything, or its equivalent, is referred to as the price. the investment or expenditure (as of labor or sacrifice) made to obtain a thing; the average cost of a college education has increased significantly.

a)

In this instance, note how the researcher conducts experiments to ensure that the new method will function with a

mean price was under $220. Which is.µ < 220

The following is the Null and Alternative Hypothesis:

Negative hypothesis H.: The new technique will be operational at a mean cost of at least $220.

Therefore, H: µ > 220

An alternative theory. H.: The new technique will function at a mean cost that is lower than

$220

Meaning H µ < 220

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Answer:

x= -24

Step-by-step explanation:

multiply both sides by 12, then you'll have x= -24

Answer:

Why was the Dust Bowl significance?

The massive dust storms caused farmers to lose their livelihoods and their homes. Deflation from the Depression aggravated the plight of Dust Bowl farmers. Prices for the crops they could grow fell below subsistence levels. In 1932, the federal government sent aid to the drought-affected states.

Step-by-step explanation:

Answer:

The Dust Bowl has been the subject of many cultural works.The Dust Bowl was a period of severe dust storms that greatly damaged the ecology and agriculture.

this is correct answer

I hope it's helpful for you...

Answer:  72 degrees, if I read the question correctly.

Step-by-step explanation:  The sum of all the angles in a complete circle is 360 degrees.  Angles oppor=site each other are equal, so we have two angles of 95 degrees each, for a total of 190.  That leaves 170 for the other two angles, which are also equal,  So they must 85 each.  If I read the diagram correctly, it assigned this angle equal to d + 13,  I have no clue why, but if so:

 d + 13 = 85

 d = 72 degrees

The volume of the cone is (5/3)π(9²) cubic units ≈ 381.7 cubic units.

The formula for the volume of a cone is V = (1/3)πr²h, where r is the radius of the circular base and h is the height of the cone. However, we are given the base area B instead of the radius, so we need to find the radius first.

We know that the area of a circle is A = πr², so if the base area of the cone is B = 5π square units, then πr² = 5π, which means r² = 5. Solving for r, we get r = √5.

Now that we have the height h = 9 units and the radius r = √5 units,

we can use the formula for the volume of a cone:

V = (1/3)πr²h.

Substituting the values, we get

V = (1/3)π(√5)²(9) = (5/3)π(9²) cubic units, which simplifies to ≈ 381.7 cubic units.

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The average return for the stock over the given period is 11 percent, while the average growth rate, considering the compounding effect, is approximately 8.9 percent.

To find the arithmetic and geometric returns for the stock, we first need to calculate the arithmetic mean (average) and the geometric mean of the given returns.

Arithmetic mean (average) is calculated by summing up the returns and dividing by the number of returns:

Arithmetic mean = (13 + 20 + 22 - 11 + 27 - 5) / 6 = 66 / 6 = 11 percent

The arithmetic mean return for the stock is 11 percent.

Geometric mean is calculated by taking the product of all the returns and then raising it to the power of 1/n, where n is the number of returns:

Geometric mean = (1 + 0.2 + 0.22 - 0.11 + 0.27 - 0.05)^(1/6)

Calculating the geometric mean using these returns:

Geometric mean = (1.53)^(1/6) ≈ 1.089

To express the geometric mean as a percentage, we subtract 1 and multiply by 100:

Geometric mean return = (1.089 - 1) * 100 ≈ 8.9 percent

The geometric mean return for the stock is approximately 8.9 percent.

In summary, the arithmetic mean return for the stock is 11 percent, while the geometric mean return is approximately 8.9 percent.

The arithmetic mean gives the average return over the given period, while the geometric mean accounts for the compounding effect of returns and provides a measure of the average growth rate.

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Answer:

The length of the chord is 16 cm

Step-by-step explanation:

Mathematically, a line from the center of the circle to a chord divides the chord into 2 equal portions

From the first part of the question, we can get the radius of the circle

The radius form the hypotenuse, the two-portions of the chord (12/2 = 6 cm) and the distance from the center to the chord forms the other side of the triangle

Thus, by Pythagoras’ theorem; the square of the hypotenuse equals the sum of the squares of the two other sides

Thus,

r^2 = 8^2 + 6^2

r^2= 64 + 36

r^2 = 100

r = 10 cm

Now, we want to get a chord length which is 6 cm away from the circle center

let the half-portion that forms the right triangle be c

Using Pythagoras’ theorem;

10^2 = 6^2 + c^2

c^2 = 100-36

c^2 = 64

c = 8

The full

length of the chord is 2 * 8 = 16 cm

Answer:

the side lengths of the second triangle  are 2.25mm ,3m, and 3.75mm

the work shown:

3mm                              3mm × 3cm/4cm = 2.25mm

 4mm                               4mm × 3cm/4cm = 3mm

 5mm                               5mm × 3cm/4cm = 3.75mm

The upper control limit (UCL) is approximately 2.0018 litres, and the lower control limit (LCL) is approximately 1.9982 litres, which would include roughly 95.5 percent of the sample means.

Now let's check if the process is in control using the given sample means:

To determine the upper and lower control limits for the sample means, we can use the formula:

Upper Control Limit (UCL) = Mean + (Z * Standard Deviation / sqrt(n))

Lower Control Limit (LCL) = Mean - (Z * Standard Deviation / sqrt(n))

In this case, we want to include roughly 95.5 percent of the sample means, which corresponds to a two-sided confidence level of 0.955. To find the appropriate Z-value for this confidence level, we can refer to the standard normal distribution table or use a calculator.

For a two-sided confidence level of 0.955, the Z-value is approximately 1.96.

Given:

Mean = 2.0 litres

Standard Deviation = 0.01 litres

Sample size (n) = 5

Using the formula, we can calculate the upper and lower control limits:

UCL = 2.0 + (1.96 * 0.01 / sqrt(5))

LCL = 2.0 - (1.96 * 0.01 / sqrt(5))

Calculating the values:

UCL ≈ 2.0018 litres

LCL ≈ 1.9982 litres

Therefore, the upper control limit (UCL) is approximately 2.0018 litres, and the lower control limit (LCL) is approximately 1.9982 litres, which would include roughly 95.5 percent of the sample means.

Now let's check if the process is in control using the given sample means:

Mean of the sample means = (2.005 + 2.001 + 1.998 + 2.002 + 1.995 + 1.999) / 6 ≈ 1.9997

Since the mean of the sample means falls within the control limits (between UCL and LCL), we can conclude that the process is in control.

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False. The metric system is a decimalized system of measurement, but it is not used exclusively in the United States.

In fact, the United States primarily uses the U.S. customary system, while the metric system is widely used in most other countries around the world.

Most nations throughout the world use the metric system, a decimal-based measurement system that is universally recognised. It offers a standardised method for gauging temperature, length, mass, and other physical attributes. The metre (for length), kilogramme (for mass), second (for time), ampere (for electric current), kelvin (for temperature), mole (for amount of material), and candela (for luminous intensity) are the basic units of the metric system. Because the metric system is based on powers of 10, converting between units is simple. Global communication and trade are made easier by its promotion of usability, consistency, and compatibility across scientific, industrial, and everyday uses.

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To find h'(3) given h(x) = f(x) xg(x), we use the product rule of differentiation:

h'(x) = f'(x) xg(x) + f(x) g(x) + f(x) xg'(x)

We are not given the functions f(x) and g(x), but we can use the given graphs to estimate their values near x = 3. Let's say that f(3) = 2 and g(3) = 5. We also need to estimate f'(3) and g'(3) in order to calculate h'(3). We can estimate these values using the slopes of the tangent lines to the graphs at x = 3.

Let's say that the slope of the tangent line to the graph of f(x) at x = 3 is 1, and the slope of the tangent line to the graph of g(x) at x = 3 is 3. Then we have:

f'(3) ≈ 1

g'(3) ≈ 3

Substituting these values into the product rule for h'(x), we get:

h'(x) = f'(x) xg(x) + f(x) g(x) + f(x) xg'(x)

h'(3) = f'(3) 3 g(3) + f(3) g(3) + f(3) 3

h'(3) = (1)(3)(5) + (2)(5) + (2)(3)

h'(3) = 19

Therefore, h'(3) is approximately equal to 19, based on the given graphs and our estimates of f'(3) and g'(3).

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Answer:

Given that,

Calvin has three alarm clocks which sound at different intervals.

Clock A goes off every 10 minutes

Clock B every 15 minutes

Clock C every 20 minutes.

To find: the three clocks sound together every _minutes

The three clock sounds together for every least common minutes of the 3 clocks (A,B,C)

To find LCM of 10,15,20.

we get,

LCM of 10,15,20 is 60

Therefore we get that,

The three clock sounds together for every 60 minutes.

Answer is:

The three clock sounds together for every 60 minutes.

The number of significant digits in a measurement is determined by following a specific rule. According to the rule, all non-zero digits in a measurement are considered significant. For example, in the measurement 25.4 cm, there are three significant digits (2, 5, and 4) because they are non-zero.

In addition to non-zero digits, there are two more rules to consider. The first rule states that all zeros between non-zero digits are also significant. For instance, in the measurement 1003 g, there are four significant digits (1, 0, 0, and 3) because the zero between the non-zero digits is significant.

The second rule states that trailing zeros at the end of a number are significant only if they are after the decimal point. For example, in the measurement 2.000 s, there are four significant digits (2, 0, 0, and 0) because the trailing zeros after the decimal point are significant. However, in the measurement 2000 m, there are only one significant digit (2) because the trailing zeros are not after the decimal point.

In summary, the number of significant digits in a measurement is determined by considering all non-zero digits, zeros between non-zero digits, and trailing zeros after the decimal point. These rules help in properly representing the precision and accuracy of a measurement.

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Answer:

131.58 feet

Step-by-step explanation:

Let the coordinates of the entrance be (0, 0). Since the Ferris wheel is located 95 feet east and 156 feet north of the entrance, its coordinates are (95, 156). Also, the swings are located 23 feet west and 124 feet north of the entrance. The coordinates of the swings are (-23, 124).

So, we find the distance, d between the Ferris wheel and the swing using

d = √[(x₂ - x₁)² + (y₂ - y₁)²] where d is the distance between coordinates (x₁, y₁) and (x₂, y₂).

Now  (x₁, y₁) = (95, 156) and  (x₂, y₂) = (-23, 124)

So, d = √[(x₂ - x₁)² + (y₂ - y₁)²]

d = √[(-23 - 95)² + (124 - 156)²]

d = √[(-118)² + (-68)²]

d = √[13924 + 4624]

d = √18548

d = 136.191 feet

Since Jalen is standing exactly three-eights the distance from the Ferris wheel to the swings, his distance from the Ferris wheel is d' = 3d/8 = 3 136.191/8 = 51.072 feet ≅ 51.07 feet

We now calculate the distance d' of the Ferris wheel to the gate. Since the coordinates of the gate are (0, 0) and the coordinates of the Ferris wheel are (95, 156), we use

d" = √[(x₂ - x₁)² + (y₂ - y₁)²]

Now  (x₁, y₁) =  (0, 0)  and  (x₂, y₂) = (95, 156)

So, d" = √[(x₂ - x₁)² + (y₂ - y₁)²]

d" = √[(95 - 0)² + (156 - 0)²]

d" = √[95² + 156²]

d" = √[9,025 + 24,336]

d" = √33,361

d" = 182.65 feet

Now the direct distance, D between Jalen and the entrance is thus distance from Ferris wheel to entrance minus distance from Jalen to Ferris wheel =  d" - d'

= 182.65 feet - 51.07 feet

= 131.58 feet

The best estimate for the cord length of the beaded jewelry is 34 inches using the concept of equation of a line.

As per the question statement, Angelique makes beaded jewelry, and the graph below shows the number of beads on varying cord lengths. It is given that the necklace contains 88 beads. We are supposed to find the best estimate for the graph below shows the number of beads on varying cord lengths.

The equation of the line in the graph: y = 2.52*x + 1.61

Where "x" represents the length of the cord and "y" represents the number of beads.

It is given that y = 88 beads.

Substituting the value of y = 88 in the above equation.

y = 2.52*x + 1.61

88 = 2.52*x + 1.61

2.52*x = 86.39

x = 86.39 / 2.52

x = 34.28 inches.

Hence, the best estimate for the cord length of the beaded jewelry is 34 inches using the concept of equation of a line.

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Step-by-step explanation:

15 / (1/3)  is equal to  15 x 3/1  = 15 x 3 = 45

The lengths of the diagonals of rectangle is 66 units

The properties of a rectangle is given as;

From the information given, we have that;

$WY=14x+10

$XZ=11x+22

Since the diagonals are of the same length, we have;

WY = XZ

14x + 10 = 11x + 22

collect like terms

14x - 11x = 22 - 10

subtract the like terms

3x = 12

Make 'x' the subject of the formula

x = 4

WY = 54 + 10 = 66

XZ = 66

Hence, the values are 66

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Answer:

Not sure what you're asking here

Step-by-step explanation:

Answer:

84 m

Step-by-step explanation:

Perimeter of the park = perimeter of rectangle + perimeter of 2 semicircles

62

Answer:

3/14

Step-by-step explanation:

1 1/4 can be written as 5/4

5 5/6 can be written as 35/6

so divide (5/4)/(35/6)

= (5/4)*(6/35)

=(1/4)*(6/7)

=6/28

simplified = 3/14

Answer:

45%

Step-by-step explanation:

1,450 - 1,000 = 450

the 450 becomes 0.45

to make 0.45 a percent, we multiply it by 100

0.45 x 100 = 45

45%

The length of one side of the square is 24/7 cm.

Let the side length of the square be x.

Since the square has one side on the hypotenuse of triangle ABC and a vertex on each of the two legs, we can form two smaller right triangles within the larger triangle ABC.
Label the vertices of the square touching legs AB and AC as D and E, respectively.

Triangle ADE is similar to triangle ABC by AA similarity (both have a right angle and angle A is common).
Set up a proportion using the side lengths:

AD/AB = DE/AC, or (6-x)/6 = x/8.
Cross-multiply to find 8(6-x) = 6x.
Simplify to 48 - 8x = 6x.
Add 8x to both sides to get 48 = 14x.
Divide by 14 to find x = 48/14, which simplifies to x = 24/7.
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Answer:

297 mm²

Step-by-step explanation:

22 mm × 18 mm = 396 mm²

(9 × 22) ÷ 2 = 99 mm²

396 mm² - 99 mm²

297 mm²

The momentum of a proton would be:

(a) For particle moving with speed 0.010c

p = 5.016 × 10^(-21) kgms^{-1}

p = 9.398 MeV/c

(b) For particle moving with speed 0.50c

p = 2.89 × 10^(-19) kgms^{-1}

p = 541.5 MeV/c

(c) For particle moving with speed 0.90c

p = 23.73 × 10^(-19) kgms^{-1}

p = 4446.35 MeV/c

For given question,

We need to calculate the momentum of a proton moving with a given speed.

We know that, the equation for relativistic momentum is,

\(p=\frac{mv}{\sqrt{1-\frac{v^2}{c^2} } }\)

We know, the mass of proton (m) = \(1.67\times 10^{-27}\) kg

(a) For particle moving with speed 0.010c

v = 0.010c

the momentum of a proton would be,

\(\Rightarrow p=\frac{(1.67\times 10^{-27}kg)\times (0.010\times 3\times 10^8)\frac{m}{s} }{\sqrt{1-\frac{0.01^2~c^2}{1^2~c^2} } }\\\\\Rightarrow p=5.016\times 10^{-21}~~kgms^{-1}\)

(b) For particle moving with speed 0.50c

v = 0.50c

the momentum of a proton would be,

\(\Rightarrow p=\frac{(1.67\times 10^{-27}kg)\times (0.50\times 3\times 10^8)\frac{m}{s} }{\sqrt{1-\frac{0.5^2~c^2}{1^2~c^2} } }\\\\\Rightarrow p=2.89\times 10^{-19}~~kgms^{-1}\)

(c) For particle moving with speed 0.90c

v = 0.90c

the momentum of a proton would be,

\(\Rightarrow p=\frac{(1.67\times 10^{-27}kg)\times (0.90\times 3\times 10^8)\frac{m}{s} }{\sqrt{1-\frac{0.90^2~c^2}{1^2~c^2} } }\\\\\Rightarrow p=23.73\times 10^{-19}~~kgms^{-1}\)

Now, we need to convert answers into MeV/c

1 MeV = 1.6 × 10^(-13) kg.m²/s²

⇒ 1  kg.m²/s² = 625 × 10^(10) MeV

1 c = 299,792,458 m/s

⇒ 1 m/s = 3.3356E-9 c

So, 1  kg. m/s = 1.8737259e+21 MeV/c

(a) For p = 5.016 × 10^(-21) kgms^{-1}

⇒ p = 5.016 × 10^(-21) × 1.8737259e+21

⇒ p = 9.398 MeV/c

(b) For p = 2.89 × 10^(-19) kgms^{-1}

⇒ p = 2.89 × 10^(-19) × 1.8737259e+21

⇒ p = 541.5 MeV/c

(c) For p = 23.73 × 10^(-19) kgms^{-1}

⇒ p = 23.73 × 10^(-19) × 1.8737259e+21

⇒ p = 4446.35 MeV/c

Therefore, the momentum of a proton would be:

(a) For particle moving with speed 0.010c

p = 5.016 × 10^(-21) kgms^{-1}

p = 9.398 MeV/c

(b) For particle moving with speed 0.50c

p = 2.89 × 10^(-19) kgms^{-1}

p = 541.5 MeV/c

(c) For particle moving with speed 0.90c

p = 23.73 × 10^(-19) kgms^{-1}

p = 4446.35 MeV/c

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