The variables x and y are proportional. Use the values to find the constant of proportionality. Then write an equation that relates x and y.
When y=72 and x=3.

K = ?

y = ?

hihjoigigygggvsusiahs

Answer:

500percent of 900 is 4500

Answer:

0.9

Step-by-step explanation:

6.3/7 7*9=63

Answer:

k=-14

Step-by-step explanation:

Answer:

\( \dfrac{a}{a - 4} \)

Step-by-step explanation:

You are subtracting fractions, so as usual with fraction subtraction, you need a common denominator. To get a common denominator, you need to factor each denominator.

\( \dfrac{3a}{a + 4} - \dfrac{2a^2 - 16a}{a^2 - 16} = \)

Factor the right denominator. It is a difference of two squares.

\( = \dfrac{3a}{a + 4} - \dfrac{2a^2 - 16a}{(a - 4)(a + 4)} \)

The left denominator is (a + 4). The right denominator is (a - 4)(a + 4). The LCD is (a - 4)(a + 4), so multiply the left fraction by (a - 4)/(a - 4).

\( = \dfrac{3a}{a + 4} \times \dfrac{a - 4}{a - 4} - \dfrac{2a^2 - 16a}{(a - 4)(a + 4)} \)

\( = \dfrac{3a^2 - 12a}{(a - 4)(a + 4)} - \dfrac{2a^2 - 16a}{(a - 4)(a + 4)} \)

Be careful when you do the subtraction of the numerators, 3a² - 12a minus 2a² - 16a. 3a² - 12a - (2a² - 16a). The minus of the subtraction changes each sign inside the parentheses, so you end up with 3a² - 12a - 2a² + 16a. Be especially careful with the +16a.

\( = \dfrac{3a^2 - 12a - (2a^2 - 16a)}{(a - 4)(a + 4)} \)

\( = \dfrac{3a^2 - 12a - 2a^2 + 16a}{(a - 4)(a + 4)} \)

\( = \dfrac{a^2 + 4a}{(a - 4)(a + 4)} \)

\( = \dfrac{a(a + 4)}{(a - 4)(a + 4)} \)

\( = \dfrac{a}{a - 4} \)

Answer: None of the statements are true.

The expression has only two terms: 17 and (5)(9 + 14y).

No term in the expression equals 23.

The expression has three factors: 17, 5, and (9 + 14y).

The constant in the factor 9 + 14y is 9.

The factors in the expression are 17, 5, 9, and (9 + 14y).

Step-by-step explanation:

Answer:

three times

2

Step-by-step explanation:

Please find attached the image containing the complete question

volume of a cylinder = nr^2h

Volume of a cone 1/3(nr^2h)

n = 22/7

r = radius  = 3/2 = 1.5

h = height

the cylinder is 3 times the height of the cone

volume of the cone = (1/3) x (22/7) x 6 x (1.5^2) = 14.14

the volume of the cylinder would be 14.14. The height of the cylinder can be determined using this equation :

14.14 = 22/7 x (1.5^2) x h = 2

The dimensions of the large soccer field are 361 x 295.28 feet.

To convert the dimensions of the large soccer field from meters to feet, we multiply each dimension by the conversion factor of 1 meter equals 3.281 feet.

Length conversion: The length of the soccer field is 110 meters. Multiply this by the conversion factor: 110 meters * 3.281 feet/meter = 361 feet.

Width conversion: The width of the soccer field is 90 meters. Multiply this by the conversion factor: 90 meters * 3.281 feet/meter = 295.28 feet.

Therefore, the large soccer field measures 361 feet long and 295.28 feet wide when converted to the imperial unit of feet.

By applying the conversion factor, we accurately express the field's dimensions in the desired measurement system.

Learn more about converting dimensions

brainly.com/question/29909084

#SPJ11

Answer: 112.5

Step-by-step explanation: When line AB and CD intersect at point E, angle AEC equals BED so you set them equal to each other and find what x is. 5x -20 = x + 50, solving for x, which gives you 17.5. Finding x will tell you what AEC and BED by plugging it in which is 67.5. Angle BED and BEC are supplementary angles which adds up to 180 degrees. So to find angle CEB, subtract 67.5 from 180 and you get 112.5 degrees.

The unit tangent vector T and the principal unit normal vector N for the parameterized curve is zero

Let's consider two parameterized curves, r(t) = <10 cos t², 10 sin t²> and r(t) = <cos t, sin t>. To find the unit tangent vector T and the principal unit normal vector N for the first curve, we first need to compute its derivative. Using the chain rule, we have:

r'(t) = <-20t sin t², 20t cos t²>

The magnitude of r'(t) is given by:

||r'(t)|| = sqrt((-20t sin t²)² + (20t cos t²)²) = 20t

To obtain the unit tangent vector T, we divide r'(t) by its magnitude:

T(t) = r'(t)/||r'(t)|| = <-sin t², cos t²>

Note that T(t) is a vector of magnitude 1, which means that it represents the direction of motion of the curve at the point r(t).

To find the principal unit normal vector N, we need to compute the derivative of T(t):

T'(t) = <-2t cos t², -2t sin t²>

The magnitude of T'(t) is given by:

||T'(t)|| = sqrt((-2t cos t²)² + (-2t sin t²)²) = 2t

To obtain N(t), we divide T'(t) by its magnitude and flip the direction:

N(t) = -T'(t)/||T'(t)|| = <cos t², sin t²>

Note that N(t) is also a vector of magnitude 1, and it is perpendicular to T(t), which means that it represents the direction of curvature of the curve at the point r(t).

Finally, we can verify that T(t) and N(t) are orthogonal by computing their dot product:

T(t) . N(t) = (-sin t²)(cos t²) + (cos t²)(sin t²) = 0

To know more about vector here

https://brainly.com/question/29740341

#SPJ4

Answer:

the final amount is = $280.51

Step-by-step explanation:

The standard formula for compound interest is given as;

A = P(1+r/n)^(nt) .....1

Given that;

Principal P = $200

Interest rate r = 7% = 0.07

Time t = 5 years

Final amount = A

Number of time compounded per year n = 1

Substituting the values;

A = 200(1+0.07/1)^(1×5)

A = 280.51

Therefore, the final amount is = $280.51

Answer:

No, Jasper is not right.  All four of the given angles would have to be the same.  Two are 64 and two are 66, so the lines are not parallel.

Step-by-step explanation:

No, Jasper is not right.  All four of the given angles would have to be the same.  Two are 64 and two are 66, so the lines are not parallel.

Answer:

610 in

Step-by-step explanation:

Answer:

356

Step-by-step explanation:

To answer this, find the area of each side, then add the values together.

Normally Surface Area = 2 (wl + hl + hw) but in this case, the easiest way to solve this is to divide the shape into 2 different rectangular prisms. Your new equation would be: SA = Sa₁ + Sa₂ or it could be

SA = [2 (wl + hl + hw)] + [2 (wl + hl + hw)]

We'll start by solving the surface area for the larger rectangular prism.

Sa₁ = 2 (wl + hl + hw) substitute w, l, and h

Sa₁ = 2 [(10)(0.5) + (12)(0.5) + (12)(10)]

Sa₁ = 2 (131)

Sa₁ = 262

Now do the same equation for the smaller rectangular prism

Sa₂ = 2 (wl + hl + hw) substitute w, l, and h

Sa₂ = 2 [(10)(0.5) + (4)(0.5) + (4)(10)]

Sa₂ = 2 (47)

Sa₂ = 94

Now add Sa₁ and Sa₂

SA = 262 + 94

SA = 356

Answer:

\(1410/12\)

117.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

1410 divided by 12, the division of one thousand, four hundred and ten by twelve

The number 1410 is called the numerator or dividend, and the number 12 is called the denominator or divisor.

The quotient of 1410 and 12, the ratio of 1410 and 12, as well as the fraction of 1410 and 12 all mean (almost) the same:

1410 divided by 12, often written as 1410/12.

117.5

=

117 Remainder 6

So the answer is

117.5

Step-by-step explanation:

as there are only 3 types of discontinuity overall : A, B and C.

there is no fourth, so D is out.

to check we use x = 2 in both equations and see, if and how the 2 connect or disconnect at that point.

5x + 4, x = 2

5×2 + 4 = 14

this is finite and a well-defined number.

2 - x, x = 2

2 - 2 = 0

this is again finite and well-defined.

but it is different from 14 above.

there is no multiplication factor or so that causes special values. so, there is no removable discontinuity. A is out.

none of the values at the point go to infinity, so there is no infinite discontinuity. B is out.

but yes, the functional value Suendenbock suddenly jumps at the point from 0 to 14 without any connection.

so, yes, it is a jump. C is right.

The probability of selecting a red or a blue tile from one of the bags is 1. This can be calculated by adding the probability of selecting a red tile (6/10) and the probability of selecting a blue tile (4/10) together. The equation for this is P(Red or Blue) = P(Red) + P(Blue), which simplifies to 10/10, or 1.

The probability of selecting either a red or blue tile from one of the bags can be calculated using the following equation:

P(Red or Blue) = P(Red) + P(Blue)

where P(Red) is the probability of selecting a red tile and P(Blue) is the probability of selecting a blue tile.

In this case, P(Red) = 4/10 and P(Blue) = 6/10. Therefore, the probability of selecting either a red or blue tile from one of the bags is:

probability of selecting

P(Red or Blue) = 4/10 + 6/10

P(Red or Blue) = 10/10

P(Red or Blue) = 1

This means that there is a 100% chance of selecting either a red or blue tile from one of the bags.

Learn more about probability here

https://brainly.com/question/11234923

#SPJ4

Company 2 sold 134.75 more pounds of fertilizer than Company 1.

How to find and what is decimal form?

To find the difference in the amount of fertilizer sold by the two companies, we need to subtract the amount sold by Company 1 from the amount sold by Company 2:

621.25 pounds - 486.5 pounds = 134.75 pounds

Therefore, Company 2 sold 134.75 more pounds of fertilizer than Company 1.

Decimal form is a way of representing a number using a decimal point and decimal places. In decimal form, the decimal point separates the whole number part from the fractional part of the number. For example, the number 3.5 is in decimal form, with 3 as the whole number part and 0.5 as the fractional part.

To know more about decimal form visit:

https://brainly.com/question/16361602

#SPJ1

Answer:

c = 40degrees

Step-by-step explanation:

the sum of a triangle should be 180 degrees

you need to ad 80+60 which is 140 then minus 140 from 180 which is 40 so 40 degrees is the measurement of angle c

a) The complete beta (ß) decay reaction for 60Co is 60 (superscript) 27 (subscript) Co → 60 (superscript) 28 (subscript) Ni + -1 (superscript) 0 (subscript) e.

b) The complete beta (ß) decay reaction for 18F is 18 (superscript) 9 (subscript) F → 18 (superscript) 10 (subscript) Ne + -1 (superscript) 0 (subscript) e.

Beta (ß) decay is a type of radioactive decay in which a beta particle, which can be either an electron or a positron, is emitted from the nucleus of an atom. It occurs when a neutron is converted into a proton or vice versa, along with the emission of a beta particle.

In the first given example, the beta (ß) decay of 60Co is represented as 60 (superscript) 27 (subscript) Co → 60 (superscript) 28 (subscript) Ni + -1 (superscript) 0 (subscript) e. This means that a cobalt-60 nucleus (with 27 protons and 33 neutrons) decays into a nickel-60 nucleus (with 28 protons and 32 neutrons) by emitting a beta particle, which is represented by -1 (superscript) 0 (subscript) e.

Similarly, in the second given example, the beta (ß) decay of 18F is represented as 18 (superscript) 9 (subscript) F → 18 (superscript) 10 (subscript) Ne + -1 (superscript) 0 (subscript) e. This indicates that a fluorine-18 nucleus (with 9 protons and 9 neutrons) decays into a neon-18 nucleus (with 10 protons and 8 neutrons) by emitting a beta particle.

The superscript represents the mass number (the sum of protons and neutrons), while the subscript represents the atomic number (the number of protons) of the respective nuclei.

Learn more about: Beta

brainly.com/question/32609991

#SPJ11

Answer:

From left to right it's square square rectangle.

If the mpc increases in value, the consumption function will become steeper.

What is MPC ?

MPC is an advanced method of process control that is used to control a process while satisfying a set of constraints. In economics, the marginal propensity to consume is a metric that quantifies induced consumption, the concept that the increase in personal consumer spending occurs with an increase in disposable income. The proportion of disposable income which individuals spend on consumption is known as propensity to consume. MPC is the proportion of additional income that an individual consumes.

To learn more about MPC, visit:

https://brainly.com/question/14486062

#SPJ4

When you add -1/4 to itself four times, you get: -1
When you multiply -1/4 by 4, you also get: -1.
Yes, both the results are same which is: -1.

To answer your question, let's break it down into two parts:

1. What do you get if you add -1/4 to itself four times?
To find the answer, you simply add -1/4 four times:
(-1/4) + (-1/4) + (-1/4) + (-1/4) = -1

2. What is -1/4 × 4?
To multiply -1/4 by 4, you perform the multiplication:
(-1/4) × 4 = -1

In conclusion, when you add -1/4 to itself four times, you get -1, and when you multiply -1/4 by 4, you also get -1.

To know more about "Multiplication" refer here:

https://brainly.com/question/30597787#

#SPJ11

Answer:

0.84 x 6 = 5.04

Step-by-step explanation:

5.04 is the answer.

Answer:

Answer B is correct

Step-by-step explanation:

We want to multiply 6 and 0.84

First you have to forget about decimals and multiply those two numbers

084

   ×6

-----------------

 =  504

And then consider about the number of decimal places. According this sum you have 2 decimal places ( 0.84 )

And now you can write the answer as

= 5.04

Hope this helps you.

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

Answer:

50; 25; 105

Step-by-step explanation:

Sum of the angles of triange is 180, so we have 2x + x + 2*2x + 5 = 180 (x is number of degrees of second angle), if I understood word 'twice' correctly.

Next, let me solve this:

2x + x + 4x + 5 = 180

7x + 5 = 180

7x = 175

x = 25

So, second angle is 25 degrees, first is 25*2=50 degrees and third is 50*2+5=105 degrees.

Hope that this was helpful.

To display the terms in the Fibonacci sequence, starting with Fib(0) and continuing as long as the terms are less than 10,000, a program is written with a loop construct. This loop is implemented using a `while` loop with a header line that looks like this: `while term < 10000:`.

Fibonacci sequence is named after the Italian mathematician Leonardo Fibonacci who developed a mathematical sequence in the 13th century to explain the geometric growth of a population of rabbits.

The first two terms in this sequence, Fib(0) and Fib(1), are 0 and 1, and every subsequent term is the sum of the preceding two.

The first several terms in the Fibonacci sequence are:

Fib(0) = 0, Fib(1) = 1, Fib(2) = 1, Fib(3) = 2, Fib(4)= 3, Fib(5)=5.

This program continues as long as the value of the term is less than the maximum

The output is as follows:

```1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 2584 4181 6765```

The while loop could also be used to achieve the same goal.

Learn more about  program code at

https://brainly.com/question/29578891

#SPJ11

512 MINUTES would it take to reach 50% consolidation. (C)

To find the time it would take to reach 50% consolidation, we can use the formula:

T50 = 0.197 * (H^2 / Cv)

Where T50 is the time to reach 50% consolidation, H is the thickness of the specimen, and Cv is the coefficient of consolidation.

Plugging in the given values, we get:

T50 = 0.197 * (3^2 / 5)

T50 = 0.197 * (9 / 5)

T50 = 0.3546

Since the question asks for the time in minutes, we need to convert from days to minutes. There are 1440 minutes in a day, so:

T50 = 0.3546 * 1440

T50 = 510.624

Rounding to the nearest whole number, we get 512 minutes (C).

To know more about coefficient of consolidation click on below link:

https://brainly.com/question/29509386#

#SPJ11

In a bag, there are 14 red, 11 blue and 5 green sweets. one sweet is picked out of the bag. Therefore, the probability of picking a sweet that is neither red nor blue is 1 - 5/6 or 1/6.



In the bag, there are 14 red, 11 blue, and 5 green sweets, totaling 30 sweets. We want to find the probability of picking a sweet that is neither red nor blue, which means we are looking for the probability of picking a green sweet.

To calculate the probability, use the following formula:

Probability = (Number of desired outcomes) / (Total number of possible outcomes)

In this case, the number of desired outcomes is the number of green sweets, which is 5. The total number of possible outcomes is the total number of sweets in the bag, which is 30.

So, the probability of picking a green sweet is:

Probability = 5/30

Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 5:

Probability = 1/6

Therefore, the probability of picking a sweet that is neither red nor blue (i.e., a green sweet) is 1/6.

Learn more about Probability:

brainly.com/question/30034780

#SPJ11

The population means may be the same

So, option D is correct.

What is meant by confidence interval?

In statistics, the probability that a population parameter will fall between a set of values a predefined percentage of the time is known as the confidence interval. Analysts typically use confidence intervals that cover 95% or 99% of the expected observations while assessing data. In frequentist statistics, an estimation range for an unknown parameter is referred to as a confidence interval. The most common confidence level for computing confidence intervals is 95%, however other levels, such 90% or 99%, are also occasionally employed. The conclusion is reached that the result is statistically significant if the confidence interval eliminates the value of zero effect.

If (μ₁- μ₂=0) is included in the confidence interval, that means this two means have the same difference that is zero.

Therefore, they may be nearly same,

So, The population means may be the same

Hence, option D is correct.

To know more about confidence interval, visit:

brainly.com/question/24131141

#SPJ4