through (4,-9) perpendicular to 8y=x-16

Work Shown:

y = 15.6 - 3.8x

y = 15.6 - 3.8*3

y = 4.2

Answer:

her hourly pay is 15

Step-by-step explanation:

375 (earned) ÷ 25 (hrs worked) = 15

i hope this helps have a good day!

Answer:

  8.5 years

Step-by-step explanation:

You want to know the number of years until 18500 depreciates to 9100 at the rate of 8% per year.

The depreciation rate given as a percentage of current value tells you the depreciation is exponential. The formula will be ...

  value = (initial value) × (1 - (depreciation rate))^t

where the rate is "per year" and t is in years.

  value = 18500·(1 -0.08)^t

  9100 = 18500·0.92^t . . . . fill in the value of interest

  9100/18500 = 0.92^t . . . . divide by 18500

  log(91/185) = t·log(0.92) . . . . take logarithms

  t = log(91/185)/log(0.92) ≈ -0.3081/-0.03621 ≈ 8.509

It will be about 8.5 years until the value is $9100.

__

Additional comment

The graph shows the solution to ...

  18500·0.92^t -9100 = 0

We find it fairly easy to locate an x-intercept, so we wrote the equation in the forms that makes the x-intercept the solution.

Answer:

60%

Step-by-step explanation:

The member of females before they leave the team is 16. If 4 leave the team, then it is 12. Hence, the current amount of members if 30. 18 divided by 30 equals 0.6, which makes 60%.

Step-by-step explanation:

Given,

1. The given expression is \(\sqrt[10]{x^9}\).

We need to write it into exponential form.

We know that,

\(\sqrt[a]{x} =x^{1/a}\)

Here, a = 10

So,

\(\sqrt[10]{x^9}=(x^9)^{1/10}\\\\=x^{9\times \dfrac{1}{10}}\\\\=x^{9/10}\\\\=x^{0.1}\)

2.

\((\sqrt[4]{3y} )^3\\\\=((3y)^3)^{1/4}\\\\=3^{3\times \dfrac{1}{4}}\times y^{3\times \dfrac{1}{4}}\\\\=3^{3/4}y^{3/4}\)

Hence, this is the required solution.

Answer:

The z-score for this data point is -1.5

Step-by-step explanation:

Mean = M = 150

Standard Deviation = S = 20

Value = x = 120

We find the z value,

\(z = (x-M)/S\\z = (120 - 150)/20\\z = (-30)/20\\z=-3/2\\z=-1.5\)

Hence the z value is z = -1.5

Answer:

            4

9           9

14           14

19             19

Step-by-step explanation:

Answer:

x = -15 so, 15 ÷ -15 = 0

Step-by-step explanation:

Hope this helps!

Answer:

mine too

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

to find the answer, divide 42 by 6/8

42 x 8/6 = 56

The 30 unit tone is the stimulus intensity at which Demetri detects the tone in 50% of the trials. This indicates that it is the level at which the auditory stimulus is perceptually just above the threshold of his hearing.  The correct answer is: 30 unit tone.

In an auditory detection study using the method of constant stimuli, the threshold for hearing is typically defined as the stimulus intensity at which a participant detects the stimulus on a certain percentage of trials. In this case, Demetri's threshold for hearing tones would be determined based on the detection rates for different stimulus intensities.

Given the information provided:

- Demetri never detects the 10 unit tone.

- He detects the 20 unit tone 25% of the trials.

- He detects the 30 unit tone 50% of the trials.

- He detects the 40 unit tone 80% of the trials.

- He detects the 50 unit tone 95% of the trials.

Based on this data, we can observe that Demetri's detection performance improves as the stimulus intensity increases. The threshold for hearing is typically defined as the stimulus intensity at which the participant detects the stimulus on 50% of the trials. In this case, Demetri detects the 30 unit tone on 50% of the trials, indicating that it corresponds to his threshold for hearing.

Therefore, the correct answer is: 30 unit tone.

The 30 unit tone is the stimulus intensity at which Demetri detects the tone in 50% of the trials. This indicates that it is the level at which the auditory stimulus is perceptually just above the threshold of his hearing. Stimulus intensities below 30 units (such as the 10 unit and 20 unit tones) fall below his threshold and are not detected reliably. On the other hand, stimulus intensities above 30 units (such as the 40 unit and 50 unit tones) are detected with higher percentages, indicating that they are clearly audible to him.

By determining the threshold for hearing, researchers can understand the sensitivity of an individual's auditory system and make comparisons across participants or study conditions. In this case, Demetri's threshold is identified as the 30 unit tone, indicating the minimum stimulus intensity he can reliably detect.

for more such question on trials visit

https://brainly.com/question/2263644

#SPJ8

Answer:

45

Step-by-step explanation:

Answer:

True

. TYSM

Step-by-step explanation:

Yes it's similar

The amount of overapplied overhead is $25,000.

To determine the amount of underapplied or overapplied overhead, we need to compare the actual manufacturing overhead with the allocated manufacturing overhead based on direct labor dollars.

First, we calculate the predetermined overhead rate:
Predetermined overhead rate = Estimated manufacturing overhead / Estimated direct labor dollars
= $800,000 / $160,000
= $5 per direct labor dollar

Next, we calculate the allocated manufacturing overhead:
Allocated manufacturing overhead = Predetermined overhead rate * Actual direct labor dollars
= $5 * $135,000
= $675,000

Finally, we calculate the underapplied or overapplied overhead:
Underapplied or overapplied overhead = Actual manufacturing overhead - Allocated manufacturing overhead
= $650,000 - $675,000
= -$25,000

Therefore, the amount of overapplied overhead is $25,000.

Learn more about overapplied on -

https://brainly.com/question/14811739

#SPJ11

The strength factor of the evidence you just got that you picked the special box is 4.

Given:

There are four boxes that look the same. in one box (the special one), half of the marbles are blue. but only 1/8 of the marbles in the other boxes are blue.

Hypothesis =  The box the blue marble was picked from is the special box.

Prior confidence = 1:3 (ratio of special boxes to non special boxes )

Now P(B | S) = 1/2 (given that a box is selected from the special box, there is 1/2 chance that it is blue)

And P(B | NS) = 1/8 (given that a box is selected from a non-special box, there is 1/8 chance that it is blue)

According to  bayes factor ,we get:

P(B | S)/P(B | NS) = (1/2)/(1/8) = 4

Thus, 4.

Therefore the strength factor of the evidence you just got that you picked the special box is 4.

Learn more about the strength factor and marble here:

https://brainly.com/question/10697254

#SPJ4

Answer:

24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

The median is the number in the middle. So first we order these numbers up which is:

2  15  16  23  24  25  25  26  34

Next we see in the middle we have 24, since there is four numbers on either side.

Answer:

y= -3

Step-by-step explanation:

Substitute x as 0

6(0)-3y=9

-3y=9

y= -3

If the original quantity is 8 and the new quantity is 2, then the correct answer is 75%.

For this question we need to subtract and multiply the numbers. We know that 2 = 25% of 8 so:

\(\boxed{8-2=6}\\\boxed{6/2=3}\)

We are going to take that 25% and multiply it with 3 to get are final answer.

\(\boxed{25*3=75}\\\boxed{So,2=75}\)

Therefore, If the original quantity is 8 and the new quantity is 2, then the correct answer is 75%.

Lisa manages to cycle 56.52 m before falling off if the diameter of the wheel of a unicycle is 0.6m.

The circumference of a circle refers to the straight line distance around it. In other words, if you open a circle and draw a straight line, the length of that line will be the circumference. The circumference is the total distance around the circle. Then find the perimeter using the formula C = 2πr.

Given,

Diameter of the wheel of a unicycle = 0.6 m

Radius of the wheel of a unicycle = 0.3 m

Number of revolutions before falling off = 32

Circumference (C) = 2 x pi x radius

= 2 × π × r

= 2 × 3.14 × 0.3

= 1.884 m

Total distance travelled by Lisa = 30 × 1.884

= 56.52 m

To know more about the circumference of a circle, visit:

https://brainly.com/question/17009295

#SPJ4

Answer:

Step-by-step explanation:

DE=7 inches

Hope this helps! ❤️

Step-by-step explanation:

since there is no graph it's a bit hard to answer this question, but I'll try. I can help solve the equation that represents the ratio of the two numbers:

(x + 1/2)/y = 1/3

This can be simplified to:

x + 1/2 = y/3

To graph this equation, you would need to plot points that satisfy the equation. One way to do this is to choose a value for y and solve for x. For example, if y = 6, then:

x + 1/2 = 6/3

x + 1/2 = 2

x = 2 - 1/2

x = 3/2

So one point on the graph would be (3/2, 6). You can choose different values for y and solve for x to get more points to plot on the graph. Once you have several points, you can connect them with a line to show the relationship between x and y.

(Like I said, it was a bit hard to answer this question, so I'm not 100℅ sure this is the correct answer, but if it is then I hoped it helped.)

Answer:

The list of these events from least likely to most likely is Blue-Blue -> Black-Blue -> Blue-Black -> Black-Black

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Possible outcomes:

Black - Black

Black - Blue

Blue - Black

Blue - Blue

Probability of each outcome:

Black-Black:

14 out of 20, and then 9 out of 12. So

\(P_{BkBk} = \frac{14}{20} \times {9}{12} = \frac{14*9}{20*12} = \frac{126}{240}\)

Black-Blue:

14 out of 20, then 3 out of 12. So

\(P_{BkBl} = \frac{14}{20} \times {3}{12} = \frac{14*3}{20*12} = \frac{42}{240}\)

Less likely than black-black.

Blue - Black:

6 out of 20, then 9 out of 12. SO

\(P_{BlBk} = \frac{6}{20} \times {9}{12} = \frac{6*9}{20*12} = \frac{54}{240}\)

More likely than black-blue, less likely than black-black.

Blue - Blue

6 out of 20, then 3 out of 12

\(P_{BlBl} = \frac{6}{20} \times {3}{12} = \frac{6*3}{20*12} = \frac{18}{240}\)

Least likely of the outcomes.

List these events from least likely to most likely:

The list of these events from least likely to most likely is Blue-Blue -> Black-Blue -> Blue-Black -> Black-Black

To simplify the expression -10 - -2x, we substitute x with 5, as given.

First, let's simplify -2x by multiplying -2 with x:

-2x = -2 * 5 = -10

Now, we can rewrite the expression as:

-10 - (-10)

To simplify the expression further, we can simplify the double negative:

-10 - (-10) = -10 + 10

Adding -10 and 10 cancels out the terms, resulting in zero:

-10 + 10 = 0

Therefore, the simplified expression -10 - -2x, when x is equal to 5, is equal to 0.

In this case, substituting x = 5 into the expression yields a result of 0. This means that when x is equal to 5, the expression evaluates to zero. It indicates that the terms -10 and -(-10) cancel each other out, resulting in a net value of zero. Thus, the expression simplifies to zero in this particular scenario.

To know more about algebraic expressions click here: brainly.com/question/28884894

#SPJ11

Answer:

I say A or B but in favor A

Step-by-step explanation:

It is sampled at a rate 25% higher than the Nyquist rate and quantized into L levels. The maximum acceptable error in sample amplitudes is limited to 0.1% of the peak signal amplitude.

To sketch the amplitude spectrum of g(t), we observe that sinc functions centered at 16 kHz and 10 kHz contribute amplitudes of 16x10³ and 10x10³, respectively, while the cosine component centered at 30 kHz has an amplitude of 20x10³. The horizontal axis represents the frequency (f).

The amplitude spectrum of the sampled signal, within the range -50 kHz to 30 kHz, will exhibit replicas of the original spectrum centered at multiples of the sampling frequency. The amplitudes and frequencies should be labeled according to the replicated components.

The minimum required bandwidth for binary transmission can be determined by considering the highest frequency component in g(t), which is 30 kHz. Therefore, the minimum required bandwidth will be 30 kHz.

For M-ary multi-amplitude signaling within a channel bandwidth of 50 kHz, we need to find the minimum value of M. It can be determined by comparing the available bandwidth with the required bandwidth for each amplitude component of g(t). The minimum M will be the smallest number of levels needed to represent all the significant amplitude components without violating the bandwidth constraint.

To minimize M, we need to select a pulse shape that achieves the narrowest bandwidth while maintaining an acceptable level of distortion. Different pulse shapes can be considered, such as rectangular, triangular, or raised cosine pulses.    

If a raised cosine pulse is used, the roll-off factor determines the pulse shape's bandwidth efficiency. The roll-off factor is defined as the excess bandwidth beyond the Nyquist bandwidth. The required M can be calculated based on the available channel bandwidth, the roll-off factor, and the distortion tolerance.

When using delta modulation with a sampling rate of five times the Nyquist rate, the number of levels (L) and corresponding bit rate can be determined by considering the quantization error and the maximum acceptable error in sample amplitudes. The bit rate will be determined based on the number of bits required to represent each level and the sampling rate.  

Learn more about sample here:

https://brainly.com/question/32907665

#SPJ11

The position value, r(t) is equals to the (t³/6)k + 2j and velocity value, v(t) is equals to ( t²/2 )k + 4i , for a(t) = tk, v(0) = 4i, r(0) = 2j.

Acceleration is defined as the rate of change of the velocity of an object with respect to time. Accelerations are vector quanty.

a = dv/dt

We have the following informations are available,

Initial velocity, v(0) = 4i

Initial position, r(0) = 2j

Acceleration at any time "t",

a(t) = tk

we have to determine the value of v(t) and r(t).

As we know, a(t) = dv(t)/dt = tk

integrating the above equation ,

v(t) = ∫tk dt = ( t²/2 )k + c

at t = 0 , v(0) = 0 + c = 4i ( since, v(0) = 4i

=> c = 4i

So, v(t) = ( t²/2 )k + 4i

Also, velocity is calculated by derivative of postion (r) with respect to time.

=> v(t) = dr(t) /dt

=> r(t) = ∫ v(t) dt

=> r(t) = ∫ ( t²/2 )k dt

integrating value of the right hand side,

r(t) = ( t³/2×3 )k +d

= (t³/6)k + d

At t = 0, r(0) = (0/6)k + d

=> r(0) = d = 2j

so, r(t) = (t³/6)k + 2j

Hence, the required position and velocity are

(t³/6)k + 2j and ( t²/2 )k + 4i.

To learn more about Accelation , refer:

https://brainly.com/question/10307723

#SPJ4

Answer:

she wills substitute r with 7%.

Step-by-step explanation:

Just did it.

Answer:

R = 7%

Principal (P)

Rate (R)

Time (t)

Step-by-step explanation:

The full intrest rate formula is i=prt

You are looking for r

R is the interest rate 7%

So i = 12,876*7%*3years will be the full equation.