1. Line L contains points (4, -1) and (4,9). Point P has coordinates (1,6)

Answer:

I use to know this

Step-by-step explanation:

there a app the can help you do it

Answer:

  2. 26.2 m

  3. 117.2 cm

Step-by-step explanation:

You want the perimeters of two figures involving that are a composite of parts of circles and parts of rectangles.

The circumference of a circle is given by ...

  C = πd . . . . . where d is the diameter

The length of the semicircle of diameter 12.6 m will be ...

  1/2C = 1/2(π)(12.6 m) = 6.3π m ≈ 19.8 m

The two lighted sides of the rectangle have a total length of ...

  3.2 m + 3.2 m = 6.4 m

The length of the light string is the sum of these values:

  19.8 m + 6.4 m = 26.2 m

The length of the string of lights is about 26.2 meters.

The perimeter of the figure is the sum of four quarter-circles of radius 11.4 cm, and 4 straight edges of length 11.4 cm.

Four quarter-circles total one full circle in length, so we can use the formula for the circumference of a circle:

  C = 2πr

  C = 2π·(11.4 cm) = 22.8π cm ≈ 71.6 cm

The four straight sides total ...

  4 × 11.4 cm = 45.6 cm

The perimeter of the figure is the sum of the lengths of the curved sides and the straight sides:

  71.6 cm + 45.6 cm = 117.2 cm

The design has a perimeter of about 117.2 cm.

__

Additional comment

The bottom 12.6 m edge in the figure of problem 2 is part of the perimeter of the shape, but is not included in the length of the light string.

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The value of x using similar triangles theorem is = 13/3.

Triangles that resemble one another but may not be exactly the same size are said to be comparable triangles.

When two objects have the same shape but different sizes, they can be said to be comparable.

This indicates that comparable shapes superimpose one another when amplified or de-magnified.

The term "Similarity" refers to this characteristic of like shapes.

Now in the given figure,

the proportion of the triangles' side is same.

So, 12/4 = 13/x

x = 13/3

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Answer:

The rate of change is 25 and that means the cost per day is $25

Step-by-step explanation:

Since we have a constant rate of change, we can select any two points, apply the slope formula

The slope formula is;

m = (y2-y1)/(x2-x1)

(x1,y1) = (3,75)

(x2,y2) = (6,150)

m = (150-75)/(6-3) = 75/3 = 25

What the rate of change means here is that the cost per day is $25

The function is power function. The power of the function is -3, the constant of variation is k, and the independent variable is d.

In this question, we have been given a function y = k/d³

We need determine whether function is power function or not.

We know that, a power function is of the form y = x ^n where n is any real number.

We can write given function as,

y = k × d^(-3)

Given that, k represents a constant.

Here, the value of y depends on the value of d.

So, d is an independent variable and y is dependent variable.

also, the power of given function is -3

Therefore, the function is power function. The power of the function is -3, the constant of variation is k, and the independent variable is d.

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The area of the triangular park in square meters is given by (b * h) / 2, where "b" represents the base in meters and "h" represents the height in meters.

To find the area of the triangular park in square meters, we need the measurements of the triangular park in the scale drawing. Since the scale is 1 unit = 1 meter, the measurements in the scale drawing represent the actual measurements in meters.

To determine the area of the triangular park in square meters, we need the base and height of the triangle in meters.

Let's assume that in the scale drawing, the base of the triangular park is represented by a certain number of units, and the height is represented by another number of units.

If we denote the base of the triangular park as "b" units and the height as "h" units in the scale drawing, then the actual measurements in meters would also be "b" meters for the base and "h" meters for the height.

The formula for the area of a triangle is:

Area = (1/2) * base * height

Substituting the actual measurements in meters, we have:

Area = (1/2) * b meters * h meters

Area = (1/2) * b * h square meters

Area = (b * h) / 2 square meters

Therefore, the area of the triangular park in square meters is given by (b * h) / 2, where "b" represents the base in meters and "h" represents the height in meters.

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Bode plots are frequency response analysis tools that display the magnitude and phase of a transfer function in a given system. The Bode plot is made up of two graphs: the Bode Magnitude Plot and the Bode Phase Plot. The function provided is (A) 25(1 + s/3)(5 + s).

Here is the Bode Magnitude and Phase plots sketch below:Explanation:Given the function,A = 25(1 + s/3)(5 + s)To find the bode magnitude and phase plots,Let's first convert the given function from standard to transfer function form.A = 25(1 + s/3)(5 + s)Expand the brackets.    A = 25 (s + 3/3) (s + 5)A = (25/3) s + 125/3Let us now use the standard form of a transfer function Y(s)/X(s) for Y(s) = A, and X(s) = 1.

Given transfer function is G(s) = A/X(s) = A(1) = 25(1 + s/3)(5 + s) / 1(1)G(s) = 25(1 + s/3)(5 + s)We can now easily find the Bode Magnitude and Phase Plots.Bode Magnitude Plot:From the transfer function,G(s) = 25(1 + s/3)(5 + s)When we take the logarithm of the magnitude of the transfer function and sketch it, we get a straight-line approximation that is made up of the summation of a few line segments.

Therefore, the magnitude of a transfer function is calculated as follows:log (25(1 + jω/3)(5 + jω)) = log (25) + log (1 + jω/3) + log (5 + jω)Magnitude = 20 log | G(s) |dB= 20 log (25) + 20 log (sqrt(1 + (ω/3)^2)) + 20 log (sqrt(5 + ω^2))Solving for each of the above equations and plotting the magnitude will give the below plot:Bode Phase Plot:The phase plot of a transfer function is a plot of its phase shift as a function of frequencyb, in radians.

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The lateral surface area of the square pyramid is 700cm²

The lateral area of a figure is the area of the non-base faces only. Therefore the lateral area of pyramid is the side areas of the pyramid.

For a regular square base pyramid, the four surfaces will have the same area. Therefore;

lateral area = 4 ( 1/2bh)

where b is the base and h is the height of the triangle.

LA = 4( 1/2 ×25 × 14)

LA = 4 × 25 × 7

LA = 100× 7

LA = 700 cm²

Therefore the lateral surface area of the square based pyramid is 700 cm²

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Answer:

x = (59/16)

y = (-65/32)

Step-by-step explanation:

2x + 12y = −17

3x + 2y = 7

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

(2x + 12y = −17) × 3

6x + 36y = -51

(3x + 2y = 7) × -2

-6x - 4y = -14

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

6x + 36y = -51

-6x - 4y = -14

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

32y = -65

÷32 ÷32

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

y = (-65/32)

3x + 2y = 7

3x + 2(-65/32) = 7

3x - (65/16) = 7

+(65/16) +(65/16)

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

3x = (177/16)

÷3 ÷3

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

x = (59/16)

I hope this helps!

Answer:

Step-by-step explanation:A. ​Solution:

So we know that Ann and Cammy are playing Chess, and Stephen is playing by himself, which would mean he is playing -ONE-player games. So we have Rake and Dora, when you see their names, it creates a word. Cammy, Ann, Rake, Dora, and Stephen.

                                                                                                                                          C           A      R        D              S

So Rake and Dora are playing cards. But what kind of cards? The ONE is spotlighted for clues, we have Spanish. So -ONE- in Spanish is UNO. If you search UNO, its a card game, TAAAAADDDDDDDDDAAAAAAAAA.

There are 18 pages devoted to advertising in the program.

Let's assume the total number of pages in the race program is represented by P. According to the given information, 30% of P is equal to 18 pages. Mathematically, we can express this as:

0.30P = 18

To find the value of P, we divide both sides of the equation by 0.30:

P = 18 / 0.30

Simplifying the division:

P = 60

Therefore, the total number of pages in the race program is 60. Since 30% of these pages are devoted to advertising, we can calculate the total number of advertising pages by multiplying the total number of pages by the advertising percentage:

Number of advertising pages = 0.30 * 60

= 18

Hence, there are 18 pages devoted to advertising in the program.

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Answer:

Answer= 23

Step-by-step explanation:

The problem would look like this: |(-4)(-6)| - |(2)(1/2)|

if solved it should look like this: |24| - |1|

which is: 24 - 1 = 23

Answer:

x=60

Step-by-step explanation:

180 = 100 + 20 + x

180 = 120 + x

-x = 120 - 180

-x = -60

x = 60

Answer:           bro you gotta figure dis out

Step-by-step explanation:hhahahahahahahahahahaahahhaha

For five-number summary for the distribution as Q1 is 39, it follows that around 75% of the states have cigarette taxes higher than 39 cents.

A list of numerical data is divided into three quarters by the values known as quartiles. The middle of the three quarters measures the distribution's center point and displays data that are close to it. Only half of the data set, which is below the median, is shown in the lower part of the quarters, while the upper half, which is above the median, is shown in the upper part. In all, the quartiles depict the distribution or dispersion of the data set.

When the data are sorted in ascending order, Q1, or the lower quartile, is the data point below which 25% of the data lie or above which 75% of the data lie. In other words, the lower quartile is greater than 25% of the data or less than 75% of the data.

As Q1 is 39, it follows that around 75% of the states have cigarette taxes higher than 39 cents.

ii) When the data are sorted in ascending order, the Q3 or upper quartile is the data point above which 25% of the data lie or below which 75% of the data lie. In other words, the data in the top quartile either make up more than 75% or less than 25% of the total data.

Q3 being 103 signifies that 25% of the states have cigarette taxes that are more than 103 cents.

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The scientific notation for the number of dust mites is 2.0 x 10⁶, and the scientific notation for the length of the dust mites is 4.2 x 10⁻³.

The correct option is C.

Scientific notation is a method of expressing very big or extremely small numbers using powers of ten.

A number is represented in scientific notation as the product of a number between 1 and 10 (the coefficient) with a power of ten.

The number of places the decimal point must be moved to produce a number between 1 and 10 is represented by the power of ten.

For example, the number 2,000,000 can be written in scientific notation as 2 x 10⁶.

The coefficient is 2, which is between 1 and 10. The power of 10 is 6, which represents the number of zeros in the original number.

Similarly, the length of dust mites is 0.0042 mm.

This number can be written in scientific notation as 4.2 x 10⁻³.

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In one minute,  Charles can type in 3-minute 225 words.

In one minute,  Charles can type

 675/9 = 75 words.

Hence,  in  3 minutes  Charles can tape  \(75\times3\) = 225 words  (if works with the same rate).

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Margin of error for 99% confidence interval is 0.0021

What is confidence interval?

he range of values that, should you repeat your experiment or resample the population in the same manner, you would anticipate your estimate to fall within a particular percentage of the time.

Main Body:

Given :

99% Confidence Interval for p

p = 0.24,n = 276000

Significance level = α = 1− confidence = 1 − 0.99 = 0.01

Critical z-value = zα/2 = z0.01/2 = z0.005 = 2.58 (closest value From z table)

Standard e

or of p : SE =

√p× (1 − p)n=√0.24 × 0.76276000

≈ 0.0008129

E = zα/2 ×√p× (1 − p)n

= 2.58 × 0.0008129 ≈ 0.002097

Hence ,Margin of Error or, E = 0.00210

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If both parents are carriers of a recessive trait, the probability that all three children will have the normal phenotype is around 42.19%.

If both parents are carriers of a recessive trait, the probability that their children will have the normal phenotype can be determined using a Punnett square. Since both parents are carriers, their genotypes are heterozygous (Aa).

When we create a Punnett square, we see the following outcomes for their children's genotypes:
- AA (25%)
- Aa (50%)
- aa (25%)

To have a normal phenotype, the child must have either AA or Aa genotype. Therefore, the probability of one child having a normal phenotype is 75% (25% + 50%).

Now, to calculate the probability of all three children having a normal phenotype, we multiply the probabilities of each child:

0.75 × 0.75 × 0.75 = 0.421875, or approximately 42.19%.

So, the probability that all three children will have the normal phenotype is around 42.19%.

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Answer: Jack

Step-by-step explanation:

100÷2=50

50÷23=2.1739130435

50÷18=2.7777.....8

Answer:

5000 is the best estimate

We have to find y:

We solve this dividing both sides by 15 and the clearing the valule of y.

Answer: y=1

Given:-

Step-by-step explanation:

4z+7= 31

4z= 31-7

4Z= 24

Z= 24/4( dividing by 2)

z = 6/1

Answer:

Correct option is

B

2.1 cm

Step-by-step explanation:

Answer:

Yes what is the question

Answer:

what is the question

Step-by-step explanation:

Answer:

2 nonreal solutions

Step-by-step explanation:

given a quadratic equation in standard form

ax² + bx + c = 0 (a ≠ 0 )

then the nature of the roots are determined by the discriminant

b² - 4ac

• if b² - 4ac > 0 then 2 real and irrational solutions

• if b² - 4ac > 0 and a perfect square then 2 real and rational solutions

• if b² - 4ac = 0 then 2 real and equal solutions

• if b² - 4ac < 0 then no real solutions

5x² - 2x + 6 = 0 ← in standard form

with a = 5 , b = - 2 , c = 6

b² - 4ac

= (- 2)² - (4 × 5 × 6)

= 4 - 120

= - 116

since b² - 4ac < 0

then there are 2 nonreal solutions to the equation

The concurrent validity, is being measured.

What is concurrent validity?

A sort of proof that can be gathered to support the use of a test for forecasting other outcomes is concurrent validity. It's a variable that's employed in sociology, psychology, and other behavioural or psychometric sciences.

As, a test developer asks five clinicians who are experts in depression to rank 100 depressed clients on a 1 to 5 scale from minor depression to severe depression. the rankings are then correlated with test scores on a new test of depression.

So, the concurrent validity is being measured.

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