how to write it in slope intercept from

Answer:

1020m = 1.02km

Step-by-step explanation:

Speed of sound is about 340m/s.

it takes 3s for the sound to reach the ear of the spectator, thus the sound-source is 340 * 3m ( 1020m ) away.

According to the O*NET website, the projected growth for most careers over the next ten years is faster than average. so , the correct option is a). Because employment in most occupations is expected to increase by 10% or more over this period.

According to O*NET, all occupations are projected to grow faster than average in the United States from 2020-2030, with employment expected to increase by 10% or more. The projected growth for most careers over the next ten years is faster than average. so , the correct option is a). This projection is based on several factors, including demographic trends, technological advancements, and changes in the economy.

The rapid growth in employment across all occupations presents opportunities for job seekers, particularly in high-growth industries such as healthcare, technology, and renewable energy. However, it also means that competition for certain jobs may be intense. By staying proactive and adaptable, individuals can position themselves for success in a rapidly changing job market.

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____The given question is incomplete, the complete question is given below:

Based on the O'Net website publication,  they believed that there will be rapid growth in career growth and that all occupations have been projected to grow faster than average that is employment will increase by 10% or more from 2020-2030 for all United States.

See full options below

faster than average

slower than average

average

little or no change

Answer:

2289.12

Step-by-step explanation:

Answer:

2289.12

Step-by-step explanation:

the sum of 897.23 and 39.89 is 937.12

937.12+1352=2289.12

Answer:

the slope of the points (4,-3) and (5,0) is 3

Step-by-step explanation: I used the formula y2-y1 over x2-x1 will give you the answer hope this helped!

Answer:

\(\boxed {\boxed {\sf m=3}}\)

Step-by-step explanation:

We are asked to find the slope of the line that passes through (4, -3) and (5,0).

The slope is the number that tells us the steepness and direction of a line. It is the rise over run, or the change in y over the change in x.

\(m= \frac{ \Delta y}{\Delta x} = \frac{y_2-y_1}{x_2-x_1}\)

In the slope formula, (x₁, y₁) and (x₂, y₂) are the points the line passes through. The points we are given are (4, -3) and (5,0). If we match the value with its corresponding value, we see that:

Substitute the values into the formula.

\(m= \frac{0 - -3}{5-4}\)

Solve the numerator. Remember that 2 back to back subtraction signs become an addition sign.

\(m= \frac{3}{5-4}\)

Solve the denominator.

\(m= \frac{3}{1}\)

Divide.

\(m=3\)

The slope of the line is 3.

Answer:

\(\mathbf{y(t) = t + \dfrac{7}{2}t^2 - \dfrac{2}{3}t^3+ ...}\)

Step-by-step explanation:

THe interpretation of the given question is as follows:

y'' + ky +  ry³ = A cos ωt

Let k = 4, r = 3, A = 7 and ω = 8

The objective is to find the first three non zero terms in the Taylor polynomial approximation to the solution with initial values y(0) = 0 ; y' (0) = 1

SO;

y'' + ky " ry³ = A cos ωt

where;

k = 4, r = 3, A = 7 and ω = 8

y(0) = 0 ; y' (0) = 1

y'' + 4y + 3y³ = 7 cos 8t

y'' = - 4y - 3y³ + 7 cos 8t     ---- (1)

∴

y'' (0) = -4y(0) - 3y³(0) + 7 cos (0)

y'' (0) = - 4 × 0 - 3 × 0 + 7

y'' (0) = 7

Differentiating equation (1) with respect to  t ; we have:

y''' = - 4y' - 9y² × y¹ - 56 sin 8t

y''' (0) = -4y'(0) - 9y²(0)× y¹ (0) - 56 sin (0)

y''' (0) = - 4 × 1  - 9 × 0 × 1 - 56 × 0

y''' (0) = - 4

Thus; we have :

y(0) = 0  ; y'(0) = 1  ; y'' (0) = 7 ; y'''(0) = -4

Therefore; the Taylor polynomial approximation to the first three nonzero terms is :

\(y(t) = y(0) + y'(0) t + y''(0) \dfrac{t^2}{2!} + y'''(0) \dfrac{t^3}{3!}+...\)

\(y(t) = 0 + t + 7 \dfrac{t^2}{2!} + \dfrac{-4}{3!} {t^3}+ ...\)

\(\mathbf{y(t) = t + \dfrac{7}{2}t^2 - \dfrac{2}{3}t^3+ ...}\)

Answer:

Domain of 1/x = x<0 or x>0

range of 1/x = f(x) <0 or f(x) >0

Step-by-step explanation:

The difference between Tom and Alfie is  1 kg

Let's call the weight of Tom T, the weight of Harry H, the weight of Freddie F, and the weight of Alfie A. We are given that T = H + 5, H = F + 3, and F = A - 2.

Substituting the second and third equations into the first equation gives us:

T = (A - 2) + 3 + 5

T = A - 2 + 3 + 5

T = A + 1

So the difference between Tom and Alfie is T - A = A + 1 - A = 1 kg.

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Answer:

a

Step-by-step explanation:

the perimeter (P) of a square is the sum of the 4 congruent sides.

the area of a square is calculated as

area = s² ( s is the length of a side )

here area is 36 , then

s² = 36 ( take square root of both sides )

s = \(\sqrt{36}\) = 6

then

P = 4s = 4 × 6 = 24 cm

Answer:

r3jehejn wbbwbwbbwmwkwkwjwjwhhejehehehhe

In order to have a function we can't repeat any value in the x, therefore in order to have a function represented in the table the question mark must be 2

The equation models the given problem as 10.50h = 84 and the number of hours Nick worked in the week is 8 hours.

A formula known as an equation uses the equals sign to denote the equality of two expressions. An assertion that two mathematical expressions have equal values is known as an equation. An equation simply states that two things are equal. The equal to sign, or "=," is used to indicate it.

Given:

Nick got a job, making $10.50 an hour walking dogs,

The total earned money = $84

Write the equation of the above statement as shown below,

10.50h = 84

Here, h is the number of hours,

Solve the above equation as shown below,

h = 84 / 10.5

h = 8 hours.

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Hello!

For this you would just need to multiple straight across. Here's how you would set it up:

3/4 ·1/8

Then you would multiple 3 x 1 = 3

And 4 x 8 =32

Your answer should be 3/32, it cannot be simplified so that is the final answer :).

Answer:

.20

Step-by-step explanation:

75/500 = .15

35-15=20

Answer:

The answer is -136

Step-by-step explanation:

you multiply -34 by 4 which gives you -136

(Hope this help)

Answer:

d + 85

Step-by-step explanation:

Look at it like this,

suppose you have 1 DVD, and the mother buys 85 DVDs then you have 1 + 85 = 86 DVDS

or when you have 2 DVDs, then you have 2 + 85 = 87 DVDs afterwards.

notice that you always take the number of DVDs you already have, and add 85 to it.

d is just a number, but you just don't know it yet. you can change d by any number, and you know d+85 is the number of DVDs afterwards

A la sala de cine ingresaron 180 niños y 165 adultos.

De acuerdo con el enunciado, la sala de cine tiene capacidad para 345 espectadores y cobra 3 dólares por cada niño y 5 dólares por cada adulto. Asimismo, esta sala tiene un recaudo diario de 1365 dólares. La situación puede ser sintetizada en la siguiente ecuación algebraica:

3 · x + 5 · (345 - x) = 1365

Donde x es el número de niños que asistieron a la sala de cine.

Ahora despejamos la variable correspondiente mediante propiedades algebraicas:

3 · x + 1725 - 5 · x = 1365

1725 - 2 · x = 1365

2 · x = 1725 - 1365

2 · x = 360

x = 180

Ahora, el número de adultos es:

y = 345 - 180

y = 165

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Direct distance from the base of the Space Needle to Kasie's house = 1429 feet.

The angle of depression is the angle between the horizontal line and the observation of the object from the horizontal line. It is basically used to get the distance of the two objects where the angles and an object's distance from the ground are known to us.

Given,

Height of the observation deck AB = 520 feet

Angle of depression = 70°

Distance of the Space needle base to house BC = ?

By the figure,

tan70° = AB/BC

BC = tan70°(AB)

BC = 2.7475(520)

BC = 1428.7 feet

Distance of the Space needle base to house to nearest foot = 1429 feet

Hence, 1429 feet is the distance between base of the Space Needle to Kasie's house.

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Answer: 4.16 per pizza

Step-by-step explanation: 54.08 divided by 13 is 4.16

Answer:

5.3333333 or 5 \(\frac{1}{3}\)

Step-by-step explanation:

30 divided by 2 equals 15.

80 divided by 15 equals 5.3333333 or 5 \(\frac{1}{3}\).

Answer:

The quen is as following:

ABC is a right triangle at C,

Acute angles are in the ratio 5:1, i.e. ∠BAC : ∠ABC = 5:1

If CH is an altitude to AB and CL is an angle bisector of ∠ACB, find m∠HCL.

The solution is:  m∠HCL = 30°

Step-by-step explanation:

See the attached figure.

∵The triangle is right at C   ∴∠C = 90°

∴∠A + ∠B = 90° ⇒(1)

∵ Acute angles are in the ratio 5:1, i.e. ∠BAC : ∠ABC = 5:1

∴∠A = 5 times ∠B

Substitute at (1)

∴ 5 ∠B + ∠B = 90° ⇒⇒⇒ ∴∠B = 15°  and ∠A = 75°

∵CL is an angle bisector of ∠ACB

∴ ∠ACL = 90°/2 = 45°

∵ CH is an altitude to AB ⇒ ∠CHA = 90°

At the triangle AHC:

∠ACH = 180° - (∠CHA + ∠CAH) = 180° - (90° + 75°) = 15°

∴ ∠HCL = ∠ACL - ∠ACH = 45° - 15° = 30°

Answer:

when x=-9, y=1

Step-by-step explanation:

the graph shows when the x is at -9, the y is at 1

Answer: Not possible

Step-by-step explanation:

Given

The length of Jaylen's bed is \(6\ ft\approx 72\ in.\)

The length of his desk is \(3\ ft\approx 36\ in.\)

The total length along the wall is \(125\ in.\)

Jaylen wants \(2\ ft \approx 24\ in.\) gap between bed and desk

the combined length of bed and desk is

\(\Rightarrow 72+36=108\ in.\)

The remaining length after placing the bed and desk is

\(\Rightarrow 125-108=17\ in.\)

As the remaining length is less than the required length

Therefore, it is not possible to leave a gap of two-foot between the bed and desk

The formula for converting degrees Kelvin to degrees Fahrenheit is F = (9/5) K + 459.67.

Degrees Kelvin and Degrees Fahrenheit are two temperature measuring measures that are widely used across the globe. While Kelvin is an international standard unit of measurement, Fahrenheit is mostly used in the United States.

The fact that they measure temperature on distinct scales explains the difference between degrees Fahrenheit (F) and degrees Kelvin (K). Whereas Kelvin is based on a scale of 100 degrees between the freezing and boiling temperatures of water at normal atmospheric pressure, Fahrenheit is based on a scale of 180 degrees between these extremes.

Given that, K = 5/9 (F - 459.67).

To obtain F in term of K we isolate the value of F as follows:

K = 5/9 (F - 459.67)

Multiplying both sides by 9/5, we get:

(9/5) K = F - 459.67

Adding 459.67 to both sides, we get:

F = (9/5) K + 459.67

Hence, the formula for converting degrees Kelvin to degrees Fahrenheit is F = (9/5) K + 459.67.

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Answer:

4/5 < 2/6

Step-by-step explanation:

Hope it helps! =D

The markup price of the flat-screen television is:

$699 + ($699 x 0.15) = $803.85

The commission that Richard will earn on the sale is:

$803.85 x 0.08 = $64.31

Therefore, Richard will earn a commission of $64.31 (rounded to the nearest cent).

Answer:

12 metres per second

Step-by-step explanation:

because 96:8=12

Answer:

5(3y^2+4y-5)

Step-by-step explanation:

You do this by finding the common factor and working it out so it works when you multiply to get back to the standard equation.

Answer:

true

Step-by-step explanation: