What is the volume of a box that is 16 by 14?​

Therefore, the equation of the line passing through the point (1,5) with a slope of 7 is y = 7x - 2.

The equation of a line in the point-slope form is given by the following equation:

y-y_1 = m(x-x_1)

where m is the slope of the line and (x1, y1) is any point on the line.

Therefore, we can write the equation of the line passing through the point (1,5) with a slope of 7 as follows:

y-5 = 7(x-1)

Expanding the right-hand side of the equation gives:

y-5 = 7x-7

Adding 5 to both sides of the equation gives:

y = 7x-2

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Answer:

−8p−3

Step-by-step explanation:

Answer:

11 should be right answer

Answer:

97

Step-by-step explanation:

Given that:

Low = 43bpm

High = 115 bpm

Error = 3

α = 90%

To find the range estimate :

Standard destviation = (high - low) / 4

Standard deviation = (115 - 43) / 4

Standard deviation = 72/4 = 18

The sample size,(n) :

n = [(Zα/2 * sd)/E] ²

2 - tail = (Zα/2) = 1.645

[(Zα/2 * sd)/E] ² = [(1.645 * 18) / 3]² = (29.61/3)²

= 97.41

Sample size = 97

The velocity of the body under simple harmonic motion (SHM) at time t  is equal to -2sint. (Option D)

A type of self-sustaining periodic motion known as simple harmonic motion.

It is observed by the formula:

y = y' + Δy · cos ωt     ....1.

Where,

 y' = Initial position

Δy = Amplitude

ω = Angular frequency.

 t = Time

To find the equation for the velocity of the body in simple harmonic motion differentiating equation w.r.t time (1),

then we get

v = - ω · Δy · sin ωt      ....2.

If we know that ω = 1, t = t and Δt = 2, then the velocity of the body is:

v = - 1 · 2 · sin t

v = -2sint

The velocity is equal to -2sint

The velocity of the body under simple harmonic motion (SHM) at time t  is equal to -2sint. (Option D)

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Answer:

y=-1/3x+6 .Hope this helps

Answer:

3y = -x + 18

Step-by-step explanation:

Given the equation y = 3x + 2;

By comparison with the general equation

y = mx + C ; where m is the slope

We see that m = 3

Now for a perpendicular line and it's slope is -1/m = -1/3 and let it be M2

But the new slope cuts across points (3,5) .

It means M2 = y - 5/ x-3

-1/3 = y-5/ x-3

-1(x-3) = 3(y-5)

-x +3 = 3y -15

3y = -x + 18

Answer:

the correct answer should be f-52=63

Step-by-step explanation:

The equation of the line is x + 3y = 6

The line equation is represented as:

ax + by = c

Where:

x-intercept = 6 i.e. (6, 0)

y-intercept = 2 i.e. (0, 2)

Calculate the slope (m) as follows

m = (2 - 0)/(0 - 6)

This gives

m = -1/3

The linear equation is represented as:

y =mx + c

So, we have

y = -1/3x + c

y-intercept = 2 i.e. (0, 2) implies that

y = -1/3x + 2

Multiply through by 3

3y = -x + 6

Rewrite as:

x + 3y = 6

Hence, the equation of the line is x + 3y = 6

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Answer:The inequality represented by the equation y = -11/7x - 4 can be written as:

y ≤ -11/7x - 4

This represents a less than or equal to inequality, indicating that the values of y are less than or equal to the expression -11/7x - 4.

Step-by-step explanation: .

Answer: the answer as a fraction is 14/5

Step-by-step explanation: in order to multiply a fraction and a whole number you have to make the whole number a fraction. You do this by putting the number over one because anything divided by one is still itself. So you get 2/5 x 7/1 then you multiply across the top so 2 x 7 is 14 then multiply the bottom 5 x 1 is 5 and get the fraction 14/5

does this help?

The measure of <BDC is 68 degree.

The fundamental characteristics listed below make it simple to recognise parallel lines.

First, Interior of ( 2y+ 34) = 180 - (2y + 34)

                                         = 146- 2y

Now, using Corresponding Angle

74 = 146 - 2y

2y= 72

y= 72 / 2

y= 36

Second, Using Linear Pair

-7x+ 12 + (-8x+ 48)= 180

-7x + 12 - 8x + 48 = 180

-15x + 60 = 180

-15x = 120

x= -8

So, <BDC = -7x+ 12 = 56+ 12 = 68 degree

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Answer:

None of these

Step-by-step explanation:

\(\frac{360}{n}=24 \implies n=15\)

This is called a pentadecagon.

Answer:

x = − 4 .y = − 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

A. 15

Step-by-step explanation:

meter I guess Is the correct answer

Answer:

A meter is approximately 3.28 feet.

Answer:

ljknmi

Step-by-step explanation:

i did this last year

Answer:

k-j is diameter

L-i is radius

N-M is chord

Step-by-step explanation:

jk is 8 units

so length of IL will be 4 units

because radius is half of a diameter.

Answer:

\(-\infty < x < \infty\)

Step-by-step explanation:

Given

\(f(x) = (-\frac{5}{6}) \cdot (\frac{3}{5})^x\)

Required

The domain

There are no undefined points such as denominator of x or square roots.

Hence, the domain is:

\(-\infty < x < \infty\)

Answer:

x = 49.1 degrees

Step-by-step explanation:

From the right angle given,

Opposite side = 15

Adjacent side = 13

Angle = x

Using the SOH CAH TOA identity

tan x = opposite/adj

tan x = 15/13

x = arctan(15/13)

x = arctan 1.1538

x = 49.1 degrees (to the nearest tenth)

According to the solution we have come to find that,  the salesperson will receive a commission of $15 for the week.

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 means that the event is impossible and 1 means that the event is certain.

Probability can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes. For example, if you roll a standard six-sided die, there are six possible outcomes, each with an equal chance of occurring. The probability of rolling a 3 is 1/6, because there is only one favorable outcome (rolling a 3) out of six possible outcomes.

If the salesperson gets a 5% commission on each pair of shoes they sell, we can calculate their commission by multiplying the total sales by 0.05 (which is 5% expressed as a decimal):

Commission = Total sales * 0.05

In this case, the total sales are $300, so we can plug that into the formula:

Commission = $300 * 0.05

Commission = $15

Therefore, the salesperson will receive a commission of $15 for the week.

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Answer:

distributive proper

Step-by-step explanation:

mulitiply

Answer:

The decay factor has to be less than 1 but greater than 0.

Step-by-step explanation:

In mathematics, exponential decay describes the process of reducing an amount by a consistent percentage rate over a period of time. It can be expressed by the following formula:

If a is positive and b is less than 1 but greater than 0, then is an EXPONENTIAL DECAY.

The piecewise function for this problem is defined as follows:

B.

The function is a piecewise function, as the function has different definitions based on the input of the function.

The different definitions for the graph are given as follows:

To the left of x = 0, we have a linear function with intercept of 2 and slope of 2, hence it is given as follows:

y = 2x + 2, x ≤ 0.

To the right of x = 0, we have a linear function with intercept of 4 and slope of -4/3, hence it is given as follows:

y = -4/3x + 4, x > 0.

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To maximize the volume, of the rectangular prism, the carton should have dimensions of approximately 10.74 inches (length), 10.74 inches (width), and 5.37 inches (height).

Assuming the height of the rectangular prism is h inches.

According to the given information, the length and width of the prism will be twice the height, which means the length is 2h inches and the width is also 2h inches.

The total surface area of the rectangular prism is given by the formula:

Surface Area = 2lw + 2lh + 2wh

Substituting the values, we have:

576 = 2(2h)(2h) + 2(2h)(h) + 2(2h)(h)

576 = 8h² + 4h² + 4h²

576 = 16h² + 4h²

576 = 20²

h² = 576/20

h² = 28.8

h = √28.8

h = 5.37

The height of the prism is approximately 5.37 inches.

The length and width will be twice the height, so the length is approximately 2 * 5.37 = 10.74 inches, and the width is also approximately 2 * 5.37 = 10.74 inches.

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Answer:

The answer is C

Step-by-step explanation:

c.  8√(2^4 )

given 2^(4/8)  can be written as 2^(4×1/8)  

eg: 2^(1/2) is √2 hence same rule we can apply here and since 2^(1/8) we can write as 8√2 and given 2^4

further knowledge: so if asked to expand more we can write it as 8√16 simplifying this further we get 2^(1/2) which is actually √2

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Answer:

35%

Step-by-step explanation:

40 +20 +5= 65

100-65=35%

hope dis helps!

Answer:

35%

i hope it is a answer

Given, Option A: Hourly wage is $19 and the salesperson works 40 hours per week. So, he will earn in a week \(\sf = 19 \times 40 = \$760\)

Now, according to option b, he will get 8% commission on weekly sales.

Let. x = the amount of weekly sales.

To earn the same amount of option A, he will have to equal the 8% of x to $760

So, \(\sf \dfrac{8x}{100}=760\)

Or, \(\sf 8x= 76000\)

Or, \(\sf x= \dfrac{76000}{8}=9500\)

the salesman needs to make a weekly sales of $9,500 to earn the same amount with two options.

Answer:

Step-by-step explanation:

66