Who can help me with a math problem please

Answer:

The letter "x" is often used in algebra to mean an unknown value. It is often called a "variable".

Example:

In x + 5 = 12, x is a variable, but we can work out its value if we try!

Answer:

neither

Step-by-step explanation:

parallel lines will have the same number next to the x

perpendicular lines will have the negative reciprocal number next to the x

(for example 2 and -1/2 are negative reciprocals)

y−4=3(x+5)

parenthesis first

y−4=3x+15

y=3x+19

y+3= −13(x+1)

y+3= −13x−13

y= −13x−16

3x and −13x are neither the same nor negative reciprocals of each other so

the answer is neither

Answer:

2/15

Step-by-step explanation:

A percent is a number given out of 100

13 1/3% basically is 13 1/3 | 100

You divide and you get 40/3 x 1/100

Simplify by 20 = 40/300 simplify again and you get 2/15.

Answer:

See Explanation

Step-by-step explanation:

This question requires options.

Since none is provided, I will give a general solution.

We have: 0.034 and 3.40

Required

The relationship between them

3.40 can be expressed as:

\(3.40 \to 0.034 * 100\)

This means that 3.40 is 100 of 0.034

Similarly, 0.034 can be expressed as:

\(0.034 \to 3.40 * \frac{1}{100}\)

This means that 0.034 is 1/100 of 3.40

1: \(3n^{2}+9n+6\)

notice that each part is divisible by 3

\(3n^{2}\) ÷ 3 = \(n^{2}\)

9n ÷ 3 = 3n

6 ÷ 3 = 2

so it becomes \(3(n^{2} +3n+2)\)

3n can be rewritten as 2n+n

-you want to rewrite it into two numbers that multiply to the number that's alone (in this case 2)

which would get you

\(3(n^{2} +2n+n+2)\)

Now that it's rewritten, you can factor out n + 2 from the equation.

the answer is

3(n+2)(n+1)

And you can check that by multiplying (n+2)(n+1) which is \(n^{2} +2n+n+2\) and then each of those by 3, which is \(3n^{2} +6n+3n+6\) or \(3n^{2}+9n+6\), our origional equation

2: \(28+x^{2} -11x\)

So I rewrote this as \(x^{2} -11x+28\) (it's the same thing, just reordered using the commutative property)

now -11x can be rewritten as -4x-7x

(remember, the two numbers should multiply to equal 28, which is our constant.)

\(x^{2} -4x-7x+28\)

now we can factor out x from the first expression and -7 from the second

\(x(x-4)-7(x-4)\)

and lastly you factor out x-4,

which would give you

(x-4)(x-7)

Make sure to check your work and make sure it multiplies to \(x^{2} -11x+28\)

3: \(9x^{2} -12x+4\)

The first thing I notice when looking at this problem is that both 9 and 4 are perfect squares. Not only that, but they are the squares of 2 and 3, which are products of -12

So if you rewrite 9 as \(3^{2}\) and 4 as \(2^{2}\), the equation becomes

\(3^{2} x^{2} -12x+2^{2}\)

now that \(3^{2} x^{2}\) is ugly so it can be turned into \((3x)^{2}\)

and -12x can be rewritten as \(-2*3x*2\)

so our equation now looks like \((3x)^2-2*3x*2+2^{2}\)

There's a rule that says \(a^{2} -2ab+b^{2} = (a-b)^{2}\)

In our case, a=3x and b=2

so the final answer is

\((3x-2)^2\)

Answer:

473

Step-by-step explanation:

1:1

473:x

Cross Multiply

1x=473

Divide both sides by 1

x=473

Answer:

y = 1/6x + 1

Step-by-step explanation:

Add 2x to both sides of the equation.

12y = 12 + 2x

Divide each term in 12y = 12 + 2x by 12 and simplify.

y = 1 + x/6

Write in y=mx+b form.

y = 1/6x + 1

Answer:

The 99% confidence interval for the mean time spent waiting in line by all passengers at this airport is between 12.84 minutes and 23.16 minutes. It means that we are 99% sure that the truw mean waiting time for all passengers in this airport is in this interval.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 36 - 1 = 15

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 15 degrees of freedom(y-axis) and a confidence level of \(1 - \frac{1 - 0.99}{2} = 0.995\). So we have T = 2.947

The margin of error is:

\(M = T\frac{s}{\sqrt{n}} = 2.947\frac{7}{\sqrt{16}} = 5.16\)

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 18 - 5.16 = 12.84 minutes

The upper end of the interval is the sample mean added to M. So it is 18 + 5.16 = 23.16 minutes

The 99% confidence interval for the mean time spent waiting in line by all passengers at this airport is between 12.84 minutes and 23.16 minutes. It means that we are 99% sure that the truw mean waiting time for all passengers in this airport is in this interval.

Using proportions, it is found that Sofia must rent her house for at least $2,150 a week to make the desired amount.

This problem is incomplete and not found on any search engine, hence we are going to suppose the minimum rent price she has to ask to make the desired amount.

A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using a rule of three, that can be either direct(cross multiplication) or inverse(line multiplication), deriving from proportional relationships. One example of application of proportions is for unit rate problems, such as is the case for this problem.

For this problem, we have that:

Hence the minimum amount that she has to charge for the rent is:

25800/12 = $2,150 a week.

Sofia must rent her house for at least $2,150 a week to make the desired amount.

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Answer:

$6.84

Step-by-step explanation:

This is quite a simple question, simply add the new deposited amount into the original balance to get your answer.

As per the order of operations, PEMDAS and BODMAS are exactly identical where as they are different names for the exact same set of rules.

Order of operations:

Order of operations is the set of rule that defines the sequence in which an expression with multiple operations can be solved.

Given,

Here we need to find if the PEMDAS and BODMAS give different answers.

While we looking into the given question, the term PEMDAS is used mainly in the US but in India and the UK, we call it as BODMAS.

Hence, there is no difference between them.

Only the order of operations for brackets, orders, addition, subtraction, multiplication and division is the same for both the rule.

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The sides of a triangle are in the ratio 1 : 2 : 4. The difference between the longest side and the shortest side is 84 cm. What is the perimeter of the triangle ?

The sides of a triangle are in the ratio 1: 2: 4. (Given)

Let the three sides of a triangle be x, 2x and 4x respectively.

So,

ATQ ,

4x - x = 84

3x = 84

x = \( \bf \frac{84}{3} \)

\( \therefore \) Longest side = 4x = 4 × 28 = 112 cm.

Shortest side = x = 28 cm.

And, the other side = 2x = 2 × 28 = 56 cm

Now, we have to find the perimeter of the triangle.

Hence, Perimeter of the triangle = (112 + 56 + 28) cm = 196 cm.

Answer:

Step-by-step explanation:

the value of b is 0.

the base with the power 0 is always 1

Answer:

D. y = –6x – 4

Step-by-step explanation:

Find the slope of the original line and use the point-slope formula  y − y 1 = m ( x − x 1 )  to find the line parallel to  y = − 6 x + 2 .

y = − 6 x − 4                 PARALLEL

...............................................................................................................................................

Find the negative reciprocal of the slope of the original line and use the point-slope formula  y − y 1 = m ( x − x 1 )  to find the line perpendicular to  y = − 6 x + 2 .

y = 1 /6 x + 13/ 6            PERPENDICULAR

Answer:

D

Step-by-step explanation:

1) Polynomial of 4 terms.

2) The rational roots of the function are,

x = - 2, 1

3) The zeroes of the function are,

x = - 2, - 3, 2

4) The zeroes of the function are,

x = 1, - 1, 2i, - 2i

5) The correct function which shows the cubic equation is, option 1.

We have to given that;

1) Function is,

⇒ 3x⁵ + 5x⁴ - 7x³ + 15

Clearly, There are 4 terms in function.

Hence, Polynomial of 4 terms.

2) Function is,

⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0

The correct rational roots are satisfy the function,

Hence, We get;

Plug x = 1,

⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0

⇒ 1⁴ + 5(1)³ + 7 (1)² - 3(1) - 10 = 0

⇒ 0 = 0

Plug x = - 2;

⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0

⇒ 2⁴ + 5(2)³ + 7 (2)² - 3(2) - 10 = 0

⇒ 0 = 0

Thus, The zeroes of the function are,

x = - 2, 1

3) Function is,

⇒ y = (x + 3) (x + 2) (x - 2)

Hence, The zeroes of the function are,

x = - 3

x = - 2

x = 2

4) Function is,

⇒ 3x² - 4 = - x⁴

⇒ x⁴ + 3x² - 4 = 0

⇒ x⁴ + 4x² - x² - 4 = 0

⇒ x² (x² + 4) - 1 (x² + 4) = 0

⇒ (x² - 1) (x² + 4) = 0

⇒ x² - 1 = 0

⇒ x² = 1

⇒ x = ±1

⇒ x² + 4 = 0

⇒ x² = - 4

⇒ x = ±2i

Hence, The zeroes of the function are,

x = 1, - 1, 2i, - 2i

5) By given graph the  correct function which shows the cubic equation is, Option 1.

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(a) the value of a material weighing 5 kg is 31.25

(b)the value of a material weighing 50 kg is 3125

(c) the weight of a material worth 720 is 24 kg

Variation is a relation between a set of values of one variable and a set of values of other variables

If the value Q of a material is directly proportional to the square of its weight W. We can write:

Q α W²

Q = kW²   (where k is constant of proportionality)

If a material weighing 20 kg is worth 500, we have:

Q = kW²

500 = k × 20²

500 = 400k

k = 500/400

k = 5/4

k = 1.25

(a)the value of a material weighing 5 kg

Q = kW²

Q = 1.25 × 5² = 31.25

(b)the value of a material weighing 50 kg

Q = kW²

Q = 1.25 × 50² = 3125

(c)the weight of a material worth 720

Q = kW²

720 = 1.25 × W²

W² = 720/1.25

W² = 576

W = √576

W = 24 kg

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Answer:

a: Angle EBD

b: Can't really phrase this well, a semicircle that is to the left or right of diameter BD

c: Arc EDC

d: 80 degrees

e: 180

Step-by-step explanation:

An inscribed angle is an angle with all 3 points on the circumference of a circle.

A semicircle is half a circle

A major arc is an arc greater than 180 degrees

The inner angle is 80 degrees

Arc BCD is half a circle so its 360/2=180 degrees

The monthly cell phone bill when shared data equals zero is given as follows:

$26.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

The intercept of the line in this problem is given as follows:

b = 26.

Hence $26 is the monthly cell phone bill when shared data equals zero.

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The motion of the arrow, described by the kinematic equation for the height, h(t) = 60·t - 0.8·t² are as follows;

(a) The velocity after 1 second is 58.4 m/s

(b)  The arrow hits the moon after 75 seconds

(c) The velocity of the arrow when it hits the moon is 60 m/s

(d) The arrow reaches the maximum height  in37.5 seconds.

A kinematic equation is an equation that describes the motion of an object moving under constant acceleration.

The kinematic (equation) function for the height of the arrow is; h(t) = 60·t - 0.8·t²

The initial velocity of the arrow = 60 m/s

(a) The velocity of the arrow = The rate of change of the height, therefore;

v = h'(t) = 60 - 2 × 0.8·t = 60 - 1.6·t

The velocity after 1 second = h'(1) = 60 - 1.6 × 1 = 58.4

The velocity of the arrow after 1 second is 58.4 m/s

(b) When the arrow hits the moon, we get;

h(t) = 0, therefore;

h(t) = 60·t - 0.8·t² = 0

( 60 - 0.8·t)·t = 0

t =  0  or 60 - 0.8·t = 0

t = 60/0.8 = 75

The time the arrow hit the moon is 75 seconds after being shot

(c) The velocity of the arrow when it hits the moon is  found using the equation;

h'(37.5) = 1.6 × 37.5 = 60

The velocity when it hits the moon, the velocity is 60 m/s

(d) The motion of the arrow is symmetrical, therefore, the time it takes the arrow to reach the the maximal height is the time it takes the arrow to reach back to the moon surface, which indicates;

The time it takes the arrow to reach maximum height is half the time it takes the arrow to hit the moon after being shot = 75/2 seconds = 37.5 seconds

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Answer:

this is a trick question. the answer is most likely just 16 lol

Answer:

Is the answer 15, if not please comment. Thank you....

Answer and Step-by-step explanation:

(This paragraph is important:) When rounding, you should always look at the placement to the right of the number or placement that you are trying to solve. Also when rounding, any numbers from 1 - 4, do not get to be rounded up. Any numbers 5 - 9 get to be rounded up to the next number.

So in this case, we look at the 944. This number is on the scale of 5 - 9, so the placement ahead of it is rounded up. The ten millions placement is the 19 in this problem.

So, the answer to this problem is 20,000,000.

That is 19,944,074 rounded to the nearest ten million.

I hope this helps.

19,944,074 rounded to the nearest ten-million is 20,000,000.

A number system is defined as a system of writing to express numbers.

To round 19,944,074 to the nearest ten-million, we need to look at the digit in the ten-million place, which is the 1.

If the digit in the ten-million place is 5 or greater, we round up by increasing the ten-million place by 1 and replacing all the digits to the right with zeros.

If the digit in the ten-million place is less than 5, we round down by replacing all the digits to the right with zeros.

In this case, the digit in the ten-million place is less than 5, so we round down to the nearest ten-million, which is 10,000,000

Therefore, 19,944,074 rounded to the nearest ten-million is 20,000,000.

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Answer:

\(56\)

Step-by-step explanation:

\(10 \times 5 + 6\)

\(50 + 6 = 56\)

The 2.51 × 10⁻⁵ Watts/cm² sound intensity of the sound from the rocket engine has a decibel level of 114 dB

A decibel is a unit to measure the relative loudness of sound or to express the ratio electrical or acoustic power.

The intensity of the sound of the rocket engine = 2.51 × 10⁻⁵ Watts/cm²

Converting the unit of the sound intensity to Watts/m² gives;

1 cm² = 0.0001 m²

10,000 cm² = 1 m²

2.51 × 10⁻⁵ Watts/cm² = 10000 × 2.51 × 10⁻⁵ Watts/m² = 0.251 Watts/m²

The equation for the decibel from the power of sound is presented as follows;

\(\beta\ (dB)=10\cdot log_{10}\left(\dfrac{I}{I_0} \right)\)

Where;

I₀ = 10⁻¹² W/m²

Which gives;

\(\beta\ (dB)=10\cdot log_{10}\left(\dfrac{0.251 }{10^{-12}} \right) = 113.9967373215 \approx 114\)

The number of decibels for the power of the sound given to the nearest decibel by the rocket engine is 114 decibels

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Answer:

3627181992838(1331)323-242_4224$78

The variable x has a value of 22.5 degrees

Angles are the measure of space when two or more lines intersect.

The figure represents the given parameter

On the figure, we have the following angle measures

AED = 2x

BEF = 4x

EBC = 6x

Using the above as a guide, we have the following angle measures

BAE = AED = 2x ---- Corresponding angles

BEA = 180 - BEF ---- Angle on a straight line

BEA = 180 - 4x

ABE = 180 - EBC ---- Angle on a straight line

ABE = 180 - 6x

The sum of angles in a triangle is 180

So, we have

BAE  + BEA + ABE  = 180

This gives

2x + 180 - 4x + 180 - 6x = 180

Evaluate the like terms

-8x = -180

Divide both sides by -8

x = 22.5

Hence, the measure of x is 22.5

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Answer:

(2a^3a^4)^5 simplifies to 32a^35.

Step-by-step explanation:

To simplify (2a^3a^4)^5, we can use the properties of exponents which states that when we raise a power to another power, we can multiply the exponents. Therefore, we can rewrite the expression as:

(2a^3a^4)^5 = 2^5 * (a^3a^4)^5

Next, we can simplify the expression inside the parentheses by multiplying the exponents:

a^3a^4 = a^(3+4) = a^7

Substituting this into our expression, we get:

(2a^3a^4)^5 = 2^5 * (a^3a^4)^5 = 2^5 * a^35

Finally, we can simplify this expression by using the property of exponents that states that when we multiply two powers with the same base, we can add their exponents. Therefore, we can rewrite the expression as:

2^5 * a^35 = 32a^35

Therefore, (2a^3a^4)^5 simplifies to 32a^35.