What does simplifying the ratio of am to 250 mm to 50 cm give?​

Answer:

-2x+4>-2

-2x>-2-4

-2x>-6

X<3

Answer is J

The  probability density function (pdf) of X can be written as fx(x) = 3x, where 0 < x < 1.

The given probability density function (pdf) is fx(x) = cx, where 0 < x < 1 and c is a constant. To find the value of c, we can use the property that the integral of the pdf over the entire sample space must equal 1, as the sum of all probabilities in the sample space must equal 1. Thus, the equation to find c is:

\(\int\limits^1_0{cx} \,dx = 1\)

Solving for c, we have:

c = 3.

Therefore, the pdf of X can be written as fx(x) = 3x, where 0 < x < 1. This function can be used to find probabilities and other statistical measures related to the random variable X.

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The ordered pairs in each set are:

A ✕ B = {(-4, 4), (-4, 7), (4, 4), (4, 7), (7, 4), (7, 7), (9, 4), (9, 7)}

R = {(-4, 4), (4, 4), (7, 7), (9, 9)}

S = {(-4, 4), (-4, 7), (4, 4), (4, 7), (7, 7), (7, 4), (9, 9), (9, 7)}

R ∪ S = {(-4, 4), (-4, 7), (4, 4), (4, 7), (7, 7), (7, 4), (9, 9), (9, 7)}

R ∩ S = {(-4, 4), (4, 4), (7, 7), (9, 9)}

We have,

A ✕ B:

The concept of Cartesian product was used to generate all possible ordered pairs by pairing each element from set A with each element from set B.

R:

The concept of the absolute value was used to determine the condition for an ordered pair (x, y) to be in relation R, which is that the absolute value of x is equal to the absolute value of y.

S:

The concept of even numbers was used to determine the condition for an ordered pair (x, y) to be in relation S, which is that the difference between x and y is an even number.

R ∪ S:

The concept of a union was used to combine the ordered pairs that are in either relation R or relation S.

R ∩ S:

The concept of intersection was used to find the ordered pairs that are common to both relation R and relation S.

Thus,

The ordered pairs in each set are:

A ✕ B = {(-4, 4), (-4, 7), (4, 4), (4, 7), (7, 4), (7, 7), (9, 4), (9, 7)}

R = {(-4, 4), (4, 4), (7, 7), (9, 9)}

S = {(-4, 4), (-4, 7), (4, 4), (4, 7), (7, 7), (7, 4), (9, 9), (9, 7)}

R ∪ S = {(-4, 4), (-4, 7), (4, 4), (4, 7), (7, 7), (7, 4), (9, 9), (9, 7)}

R ∩ S = {(-4, 4), (4, 4), (7, 7), (9, 9)}

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The equation of the tangent line to the curve is y = -2.

Given,

         \(y^{2} (y^{2} -4)= x^{2} (x^{2} -5)\)

On solving the above equation, we get

          \(y^{4} - 4y^{2}=x^{4}-5x^{2}\)

Differentiate with respect to x.

       \(4y^{3} y^{'} -8yy^{'}=4x^{3}-10x\)

       \(y^{'}(4y^{3}-8y )=4x^{3} -10x\)

                      \(y^{'} = \frac{4x^{3}-10x }{4y^{3}-8y }\)

To find the slope of the tangent line at (0,-2) plug x = 0 and y = -2 into the \(y^{'}\).

                     \(y^{'} = \frac{0}{-16}\)

Hence,

         The slope is 0 and therefore a horizontal line with a y value of -2, i.e. y = -2.

The equation of the tangent line to the curve is y = -2.

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Answer:

5/8

Step-by-step explanation:

Answer:

Given:

Area of the sector (A) = 104π/9 square inches

Central angle (θ) = 65 degrees

The formula for the area of a sector of a circle is:

A = (θ/360) * π * r^2

We can rearrange this formula to solve for the radius (r):

r^2 = (A * 360) / (θ * π)

Plugging in the given values:

r^2 = (104π/9 * 360) / (65 * π)

r^2 = (104 * 40) / 9

r^2 = 4160 / 9

r^2 ≈ 462.22

Taking the square root of both sides:

r ≈ √462.22

r ≈ 21.49

Therefore, the radius of the circle is approximately 21.49 inches.

Answer: 8 inches

Step-by-step explanation:

Answer:

∠ BDC = 29°

Step-by-step explanation:

the sides of a rhombus are congruent, so CD = ED and Δ EDC is therefore isosceles with base angles congruent , then

∠ BCD = ∠ BED = 61°

• the diagonals are perpendicular bisectors of each other , then

∠ CBD = 90°

the sum of the 3 angles in Δ BCD = 180°

∠ BDC + ∠ CBD + ∠ BCD = 180°

∠ BDC + 90° + 61° = 180°

∠ BDC + 151° = 180° ( subtract 151° from both sides )

∠ BDC = 29°

The standard deviation of the given series of ACT scores is approximately 4.90.

To calculate the standard deviation of a series of ACT scores, you need to follow a few steps.

First, find the mean of the scores by adding them up and dividing by the total number of scores.

In this case, the mean is (32 + 20 + 18 + 21 + 24) / 5 = 23. Next, calculate the deviation of each score from the mean by subtracting the mean from each individual score.

The deviations are: 9, -3, -5, -2, 1. Then, square each deviation to eliminate negative values and find the variance. The squared deviations are: 81, 9, 25, 4, 1.

Compute the average of these squared deviations, which gives the variance: (81 + 9 + 25 + 4 + 1) / 5 = 24.

Finally, take the square root of the variance to obtain the standard deviation: √24 ≈ 4.90.

Therefore, the standard deviation of the given series of ACT scores is approximately 4.90.

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The side of triangle ABC is AB = 18 , of triangle RST is ST = 5 , RT = 3 .

A triangle is a polygon with three sides , three vertices and three angles.

It is given that

Triangle ABC and RST

BC = 15, AC = 9, and RS= 6.

the lengths of the missing sides of AABC and

ARST

When two triangles are similar their sides are proportional and it is given that the scale factor is 1/3

6:z = 1:3

z =18

y:9 = 1:3

y =3

x:15 =1:3

x =5

Therefore the side of triangle ABC is AB = 18 , of triangle RST is ST = 5 , RT = 3 .

The triangles sketch is attached.

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Answer: Just add the 14+3

= Y17

Step-by-step explanation:

The solution of the given system of equations is (-1, -2).

We are aware that a linear system of equations can be solved using a substitution method.

The intersection of the two lines represents the system's solution.

The given equations are-

y = 3x+1 ...eq 1

y = -2x-4  ...eq 2

Put the value of eq 1 in eq2 .

3x+1  = -2x-4

3x + 2x = -4 - 1

5x = -5

x = -5/5

x = -1

Put the x in eq 1.

y = 3(-1)+1

y = -2

Thus, the solution of the given system of equations is (-1, -2).

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The complete question is-

What is the solution to the system of equations-

y=3x+1 ;

y=-2x-4

1.1. Accumulated depreciation:

The accumulated depreciation for the machine bought on 1 July 2013 would be R150,000 as of 31 March 2016.

1.2. Machine realization:

The machine bought in 2013 was sold for R120,000 on 30 June 2015, resulting in a profit/loss on the sale of R10,000.

1.1. Accumulated Depreciation:

To calculate the accumulated depreciation, we need to determine the annual depreciation expense for each machine and then accumulate it over the years.

Machine bought on 1 July 2013:

Cost: R250,000

Depreciation rate: 20% per annum on cost

Depreciation expense for the year ended 31 March 2014: 20% of R250,000 = R50,000

Depreciation expense for the year ended 31 March 2015: 20% of R250,000 = R50,000

Depreciation expense for the year ended 31 March 2016: 20% of R250,000 = R50,000

Accumulated depreciation for the machine bought on 1 July 2013:

As of 31 March 2014: R50,000

As of 31 March 2015: R100,000

As of 31 March 2016: R150,000

1.2. Machine Realisation:

To record the sale of the machine bought in 2013, we need to adjust the machine's value and the accumulated depreciation.

Machine's original cost: R250,000

Accumulated depreciation as of 30 June 2015: R100,000

Net book value as of 30 June 2015:  

R250,000 - R100,000 = R150,000.

On 30 June 2015, the machine was sold for R120,000.

Realisation amount: R120,000

To record the sale:

Debit Cash: R120,000

Debit Accumulated Depreciation: R100,000

Credit Machine: R250,000

Credit Machine Realisation: R120,000

Credit Profit/Loss on Sale of Machine: R10,000 (difference between net book value and realisation amount).

These entries will reflect the appropriate balances in the ledger accounts and properly close off the accounts for the years ended 31 March 2016.

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The linear function that predicts the number of calculators sold per week (y) at a price of x dollars is, y = -400x + 46,000

To determine a linear function that predicts the number of calculators sold per week at a certain price, we can use the given information. Let's assign "x" as the price of the calculator and "y" as the number of calculators sold per week.
We have two data points:
At a price of $90, 10,000 calculators are sold per week.
At a price of $85, 12,000 calculators are sold per week.
Using these two points, we can find the slope of the linear function:
Slope (m) = (change in y) / (change in x)
= (12,000 - 10,000) / (85 - 90)
= 2,000 / -5
= -400
Now, let's use one of the data points to find the y-intercept (b):
Using the point (x, y) = (90, 10,000):
y = mx + b
10,000 = -400(90) + b
10,000 = -36,000 + b
b = 46,000
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Answer:

c. 3/4

Step-by-step explanation:

tan is opposite over adjacent and based off of the included information its 3/4

x² + 3x - 2

(5)² + 3 × 5- 2

25 + 15 - 2

40 - 2

38...

The x-intercepts of the given equation 4x^2-12x+4 is -3/2

What is Quadratic equation ?

Quadratic equation can be defined as the equation in which it is in the form of ax^2+bx+c = 0

where c is a constant.

Given equation ,

y = 4x^2+12x+4

so we have to find the x-intercept , make y = 0

and we have to solve for the given quadratic equation

so,

we get

4x^2+12x+4 = 0

(2x)^2 + 9 + 12x = 0

(2x+3)^2 = 0

x = -3/2

There is double root unique intercept or tangent at  x  = -3/2

Therefore, The x-intercepts of the given equation 4x^2-12x+4 is -3/2

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Therefore, the proportion is: 3 feet / 1 yard = 12 feet / 4 yards = 3/1 = 12/4

Alternatively, we can simplify the proportion by dividing both the numerator and denominator of the second fraction by 4:

Cost refers to the amount of money or resources that must be expended to produce or obtain a good or service. It represents the total expenditure incurred by a business or individual in order to acquire or produce a product or service. The cost of a product or service may include expenses such as materials, labor, overhead, transportation, and other associated costs. In business, cost is an important factor to consider when determining the price of a product or service, as well as in making decisions regarding production, investments, and resource allocation.

To find out how many decorations can be bought with $25.21, we need to divide the budget by the cost of each decoration:

Number of decorations = budget / cost per decoration

Number of decorations = $25.21 / $34.43/decoration

Number of decorations = 0.73 (rounded to two decimal places)

Therefore, Layla can only afford to buy 0.73 decorations with her budget. Since you cannot buy a fraction of a decoration, the answer would be zero decorations that can be bought with the given budget.

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D

Because slope of section D is greater than the others and hence speed is highest.

The mortality rate will be 180 per 100000 people.

From the information, 595,700 Americans died of (all forms of) cancer and there is a population of 321 million.

Therefore the mortality rate will be:

= 595700 / 321 million

= 0.0018

Therefore the mortality rate will be 180 per 100000 people.

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The statement that best describes the solution to the inequality in this problem is given as follows:

all real numbers except x = 1.

The inequality in the context of this problem is defined as follows:

2(x + 7) – 1 > 15 or 3(x + 2) < 2x + 7

The solution to the first inequality is given as follows:

2(x + 7) – 1 > 15

2x + 14 > 16

2x > 2

x > 1.

The solution to the second inequality is given as follows:

3(x + 2) < 2x + 7

3x + 6 < 2x + 7

x < 1.

The or operation includes the elements that belong to the solution set of at least one of the inequalities, hence the solution is given as follows:

all real numbers except x = 1.

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Answer:

aₙ= 1.5aₙ₋₁ with a₁= 3

Step-by-step explanation:

recursive formula is represented by aₙ=b· aₙ₋₁

Answer:

a. 5

b. 36

c. 1/3

d. 1/6

Step-by-step explanation:

a. The answer is five because 9 people bike and 4 people walk and 9-4 is equal to 5

b. The is answer is 36 because 12 people walked, 9 people biked, 4 people walked, 6 people used a motorcycle and 5 people used a cab and 12+9+4+6+5=36

c. The answer is 1/3 because 12 people walked to school and there are 36 people in the class so 12/36 people walked to school, which can be simplified to 1/3.

d. The answer is 1/6 because 6 people used a motorcycle to go school and there are 36 people in the class so 6/36 people used a motorcycle which is equal to 1/6

We have that for the Question ,it can be said that the next 3 sequence is

Respectively

Generally

We notice that the difference between numbers in the sequence rises by 4

therefore

For the first differ

9-2=7

7+4=11

Hence

11+9=20

Generally

for the sixth value

4*5=20

20+7=27

27+77=104

Therefore

the next 3 sequence is

Respectively

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Answer:

Yes

Step-by-step explanation:

3²+4²=5²

9+16=25

25=25

When applying the some rule, we only combine two equal ratios at once. Consequently, we deal with pairs of sides and angles that have equivalent ratios.

When two ratios are equal, a percentage is formed; alternatively, two equal ratios can be said to produce a proportion. When we understand that two ratios are equal, you can write a proportion. The ratios of these two numbers are equal.

When two variables are correlated in a manner that their ratios are equal, this is known as a proportional relationship. In a proportional connection, one variable is always a constant value multiplied by the other, which is another way to think of them. The "constant of proportionality" is the term used to describe that constant. Two angles are said to be complimentary if their sum is 90 degrees. Alternatively put, two angles are said to be complimentary if they combine to make a right angle.

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Answer:

1512

Step-by-step explanation:

L x W = Area

Answer:

171 > 117

Step-by-step explanation:

171 is greater than 117 meaning the alligator is eating the bigger number, 171.

People:

DONT LOOK IT UP ON G O O G L E, but its a good song

Answer:

(2,1)

Step-by-step explanation:

The line 4y - 2x = 0 can be written in slope-intercept form as y = 1/2x.

So any point that satisfies this equation will lie on the line. For example, the point (2,1) satisfies the equation:

4(1) - 2(2) = 0

So the point (2,1) is on the line.

Answer:

I think 1.75

Step-by-step explanation:

the long side is two times the amount of the tall side so take the smaller long side and divide by two.