PLEASE HELP it’s so hard

When a line segment is drawn from a point on a circle's circumference, through the center to another point on the circle's circumference, the distance of the line segment is equal to the diameter of the circle.

The diameter is defined as any straight line passing through the center of a circle, connecting two points on the circumference. It is the longest chord of the circle and is also the length of a circle's widest point.

The diameter is an important parameter of a circle, as it determines the circle's size and area. It is related to the circle's radius, which is half the length of the diameter. The diameter is also used in various formulas for calculating the circumference, area, and other properties of circles.

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The complement of an event is the probability of the event not occurring. In this case, if the probability of an event is 4/7, then its complement would be 1 - 4/7, which simplifies to 3/7.

The complement of an event A, denoted as A', is the probability of A not occurring. In this case, if the probability of an event A is 4/7, then the probability of A' is given by:

P(A') = 1 - P(A)

Substituting the value of P(A) as 4/7:

P(A') = 1 - 4/7

To subtract fractions, we need a common denominator:

P(A') = 7/7 - 4/7

Simplifying the expression:

P(A') = 3/7

Therefore, the complement of the event with a probability of 4/7 is 3/7.

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Answer:

3a² √2a

(o´▽`o)ﾉ xx

Hi!

\(|15x+2|=8\\\\\\15x+2=8\\15x=8-2\\15x=6 \ \ |:15\\\boxed{x_1=0,4}\\\\\\15x+2=-8\\15x=-8-2\\15x=-10 \ \ |:15\\\boxed{x_2=-\frac{2}{3}}\)

Answer:

x = 2/5      x = -2/3

Step-by-step explanation:

|15x + 2 |= 8

There are two solutions, one positive and one negative

15x + 2 = 8  and 15x + 2 = -8

Subtract 2 from each side

15x + 2-2 = 8-2  and 15x + 2-2 = -8-2

15x = 6                             15x = -10

Divide by 15

15x/15 = 6/15                   15x /15 = -10/15

x = 2/5                               x = -2/3

__________________________________

Hey!!!

Solution,

Cost of 36 toys=$ 20.52

Cost of 1 toy=20.52/36

=$0.57

Now,

Cost of 120 toys= 0.57*120

=$68.4

hope it helps

Good luck on your assignment

______________________________

Answer:

$68.4

Step-by-step explanation:

Let x represent the required cost.

Since the cost is directly proportional to the number of toys:

x : 20.52 = 120 : 36

i.e.     x/20.52 = 120/36

         x = \(\frac{120 * 20.52}{36}\)

         x = 10 * 6.84

         x = 68.4

∴ The cost is $68.4.

Hope this helps!!

Step 1

Given;

Required; To write the equation in factored form

Step 2

Find the two factors that when added gives you x and when multiplied gives -20x²

Step 3

State the x-intercept

Hence, the x-intercepts are;

x=4

x=-5

IM NOT A BOT I SWEAR.

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Answer:

x = 1.13504161 … , − 1.46837494 …

Step-by-step explanation:

hope this helps(::

The linear pair is the correct answer for a pair of adjacent angles whose opposite rays form their non-common sides.

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Answer:

D

Step-by-step explanation:

base area = (6 · 4)/2 = 24/2 = 12 cm²

half base length = 6 : 2 = 3 cm

leg = \(\sqrt{3^2+4^2} = \sqrt{9 + 16} = \sqrt{25} = 5\) cm

perimeter = (5·2) + 6 = 10 + 6 = 16 cm

lateral area = 16 · 20 = 320 cm²

surface area = (2 · 12) + 320 = 24 + 320 = 344 cm²

Mean of the data = 83.92  

The term "mean" refers to the average of the data and is derived by dividing the total number of data observations in the data by the total number of observations.

It is a data point that represents the average of all the data points in the collection. The most popular and commonly applied approach in statistics for determining the middle of a data collection is the mean.  

Here given data is

No of students(f\(_{i}\))         4        3       9         2       3        3          4  

Score (x\(_{i}\))                     70      75     80       85      90      95      100        

f\(_{i}\) x\(_{i}\)                          280       225    720    170     270    285    400      

The formula for the mean of the data is given by

=>  ∑ f\(_{i}\) x\(_{i}\) = 280 + 225 + 720 + 170 + 270 + 285 + 400 = 2350

=>  ∑f\(_{i}\)   = 4 + 3 + 9 + 2 + 3 + 3 + 4 = 28

=> Mean of the data = 2350/28 = 83.92  

Therefore,

The Mean of the data = 83.92

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Answer:

Pick either point (-6, 24) or (7,-15) and plug the x and y values into the above equation along with the value of m to get b.

Step-by-step explanation:

Answer:

y = 3x + 1

Step-by-step explanation:

first we need to find the slope

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

m = (10 - -2) / (3 - -1) = 3

note that it does not matter which points you chose to be second or first

then use slope point equation again it does not matter which point you use

y - y1 = m ( x - x1 )

y - 10 = 3 ( x - 3)

y - 10 = 3x -9

y = 3x -9 + 10

y = 3x +1

Use the slope formula below (Rise Over Run)

\( \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }\)

We are given two points. Substitute those points in the equation. Remember that it is (x,y) and not (y,x).

\( \large{m = \frac{10 - ( - 2)}{3 - ( -1)} } \\ \large{m = \frac{10 + 2}{3 + 1} \longrightarrow m = \frac{12}{4} } \\ \large \boxed{\purple{m = 3}}\)

Next we will be using the point-slope form then convert into slope-intercept form. You can also use the slope-intercept form to substitute one of these points and solve for the y-intercept. However, I will be using the point-slope form instead.

\( \large \boxed{y - y_1 = m(x - x_1)}\)

The equation above is in point-slope form. Next we can substitute one of given points. I will choose (-1,-2) to substitute (You can use another point as well since the outcome would be the same.)

\( \large{y - ( - 2) = 3(x - ( - 1))}\)

We substitute x1 = -1, m = 3 and y1 = -2. Next, we simplify the equation and convert it in slope-intercept form.

\( \large{y + 2 = 3(x + 1)} \\ \large{y = 3(x + 1) - 2} \\ \large{y = 3x + 3 - 2} \\ \large \boxed{ \red{y = 3x + 1}}\)

Answer

Answer:8.8ft

Step-by-step explanation:

250/3.14*3^2

250/3.14*9

250/28.26

8.8464

8.8ft

The value of x from the given figure is 12 units.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

From the given figure,

Consider ΔADC and ΔABC,

∠C=∠C (Reflex property)

AC=AC (Reflex property)

∠BAC=∠CDA=90°

By AA similarity, ΔADC ~ ΔABC

So, AC/BC = DC/AC

x/36 = 4/x

x²=36×4

x²=144

x=12 units

Therefore, the value of x from the given figure is 12 units.

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There are 7200 ways for the senate committee to sit around a circular table.

To solve this problem, we can use the formula for circular permutations: (n-1)!/d, where n is the total number of people and d is the number of ways in which they can be distinguished. In this case, n is 11 (5 democrats + 5 republicans + 1 independent) and d is 1 (since all the members of each party sit together, they are not distinguishable from one another). Plugging these values into the formula, we get

This means that there are 7200 ways for the senate committee to sit around a circular table.

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Answer:

1400

Step-by-step explanation:

8 times 7 times 25 = the volume

=1400

Answer:

1400

Step-by-step explanation:

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

False. The columns of matrix P are not necessarily eigenvectors of matrix A. While the diagonal matrix D contains the eigenvalues of A, the eigenvectors are not explicitly determined by the columns of P.

False. The columns of matrix P are not guaranteed to be eigenvectors of the transpose of matrix A (A.T).

In the given equation, \(a = PDP^(-1),\)

where D is a diagonal matrix and P is an invertible matrix.

The diagonal elements of D represent the eigenvalues of matrix A, while the columns of P correspond to the eigenvectors of A.

When considering the transpose of matrix A (A.T), we have \((A.T) = (PDP^(-1)).T = (P^{(-1)})^T D^T P^T.\)

Taking the transpose of a product involves reversing the order of the matrices and transposing each matrix individually.

Therefore, we have \((A.T) = P^T D^T (P^{(-1)})^T.\)

Since P is an invertible matrix, its transpose \(P^T\) is also invertible. Similarly, the transpose of the inverse of \(P, (P^{(-1)} )^T,\) is also invertible.

However, the key point is that the diagonal matrix\(D^T\) is not guaranteed to have the same eigenvalues as matrix A.

The eigenvalues of A are present in D, but they may not remain on the main diagonal after transposing.

Thus, the columns of matrix P, which correspond to the eigenvectors of A, may not necessarily be the eigenvectors of A.T.

In conclusion, the statement is false.

The columns of matrix P do not have to be eigenvectors of the transpose of matrix A (A.T).

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Answer:

3= perimeter=44 area=73

4= perimeter=60 area=209

5= perimeter=32 area=55

Step-by-step explanation:

18x4=72

18+18+4+4=44

11+11+19+19=60

11x19=209

5x11=55

5+5+11+11=32

The formula for the volume of a cube is V = a³, where a is the length of one of its sides or edges

If the base, height and width of a cube are all 1/3, then the volume of the cube is:

V = (1/3)³

V = 1/27

So, the volume of the cube is 1/27 cubic units.

Answer: $7.65 for a dozen/12

Step-by-step explanation: 2.55 x 3

Using the theories of Application of derivative,we got that  59.11221inches³/sec  is rate of volume changing when the radius is 2.3 inches.

We are given rate of change of radius (dr/dt)=0.6inches

We know very well that volume of sphere is given by (4/3)πr³

where r is the radius of the sphere.

Now, differentiating the volume with respect to radius, we get

=>dV/dr=4πr²

=>dV/dt=(dv/dr)·(dr/dt)

=>dV/dt=4πr².(dr/dt)

We are given that dr/dt=0.6inches/sec

So, dV/dt=4πr²·(0.6)

Now, putting values of r=2.3

 dV/dt=4π(2.3)²×(0.6)

=>dV/dt=4×3.14×2.3×2.3×0.6

=>dV/dt=59.11221inches³/sec

Hence, if we suppose suppose that the radius is expanding at a rate of 0.6 inches per second, the volume is changing at the rate of 59.11221inches³/sec when the radius is 2.3 inches.

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(a) Yes, the air in the house would exceed the long-term health standard if the groundwater is in equilibrium with the air in the house.

(b) The budget equation for TCE is dct/dt = k(c+ - CT) - Q(ca - CT).

(c) The characteristic time t for TCE to build up in the house from zero to unhealthful (long-term exposure) if there is no ventilation is given by t = Ahk/Q. For the given values, t = 1.4 years. A large value of t indicates a significant TCE problem.

(d) The minimum value of Q to keep CT below 20 ppm is 160 cfm. This is more than the residential requirement of 40 cfm.

(a) The Henry's Law constant for TCE is 0.4, which means that the concentration of TCE in air at equilibrium with water is 40% of the concentration in water. The groundwater concentration is 110 ppm, so the equilibrium air concentration would be 44 ppm. This exceeds the long-term health standard of 25 ppm.

(b) The flux of TCE through the floor is given by FT = k(c+ - CT), where k is a measured constant, c+ is the concentration of TCE in the groundwater, and CT is the concentration of TCE in the air in the house. The normal strategy for remediating vapor intrusion is to install fans in the house that ventilate the house with outside air. The outside ambient air has a concentration of ca. The budget equation for TCE is dct/dt = k(c+ - CT) - Q(ca - CT), where dct/dt is the rate of change of the concentration of TCE in the house, k is the flux constant, c+ is the concentration of TCE in the groundwater, CT is the concentration of TCE in the air in the house, Q is the ventilation rate, and ca is the concentration of TCE in the outside air.

(c) The characteristic time t for TCE to build up in the house from zero to unhealthful (long-term exposure) if there is no ventilation is given by t = Ahk/Q, where Ah is the area of the house, k is the flux constant, and Q is the ventilation rate. For the given values, t = 1.4 years. A large value of t indicates a significant TCE problem.

(d) The minimum value of Q to keep CT below 20 ppm is 160 cfm. This is more than the residential requirement of 40 cfm. The difference is due to the fact that the groundwater concentration is much higher than the ambient air concentration.

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Answer:

x>10

Step-by-step explanation:

-2x<24-4

-2x<20

x>10

Answer:

Answer is -10

Step-by-step explanation:

-2x + 4 < 24

put -4 on both side,

or, -2x +4 -4 < 24 - 4

or, -2x < 20

(Now divide both by -2)

or, -2x/-2 < 20/-2

or, x < -10

Therefore, x= -9,-8,-7,-6,-5......

Answer:

m = 2

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Perpendicular lines have a negative reciprocal slope.

Step-by-step explanation:

Step 1: Define

y = -1/2x + 4

Step 2: Identify

Slope m = -1/2

Step 3: Solve

Reciprocate and multiply by negative

m = 2

Algebra I

Slope-Intercept Form: y = mx + b

Perpendicular lines have a negative

reciprocal slope.

\(\pink:\implies\)Define

y= -1/2x +4

\(\:\)

\(\pink:\implies\)ldentify

Slope m = -1/2

\(\:\)

\(\pink:\implies\)Solve

Reciprocate and multiply by negative

\(\dashrightarrow\) m = 2

Answer:

Step-by-Step

Step 1

Replace the variable 0 with 17π/6 in the expression

-csc (17π/6)

Step 2

Subtract full rotations 2π until the angle is greater than or equal to 0 and less than 2π

Step 3

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.

-csc (π/6)

Step 4

The exact value of csc (π/6) is 2

Step 5

Multiply -1 • 2

−2

Step-by-step explanation:

this should be the correct answer!

As per the greedy algorithm, the change of the cent is three quarters, two dimes, and two pennies. (option c).

The greedy algorithm is a simple algorithm that always chooses the largest possible coin denomination to make change, until the amount owed is zero. Let's look at some examples:

To make change for 97 cents using the greedy algorithm, we start by choosing the largest coin denomination, which is a quarter. We can use three quarters, and we have 22 cents remaining.

Now, we use the largest coin denomination again, which is a penny. We can use two pennies to make up the remaining 2 cents. So, the answer is three quarters, two dimes, and two pennies.

Hence the correct option is (c).

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Answer: 13 and 5= coeeficients, x and y = variables,  -2 and 3 =constants

Step-by-step explanation:

Answer:

m = 5.3

Step-by-step explanation:

Given equation,

→ m = 0.4n - (2/3)

Now we have to,

→ Find the required value of m.

We have to use,

→ n = 15

Then the value of m will be,

→ m = 0.4n - (2/3)

→ m = 0.4(15) - (2/3)

→ m = 6 - (2/3)

→ m = (18/3) - (2/3)

→ m = (18 - 2)/3

→ m = 16/3

→ [ m = 5.3 ]

Hence, the value of m is 5.3.

Answer:

  an = 22 -6(n -1)

Step-by-step explanation:

The first term of the sequence is given as a1 = 22. The general term of an arithmetic sequence is ...

  an = a1 +d(n -1) . . . . n-th term for first term a1 and common difference d

The third term will be ...

  a3 = 10 = 22 +d(3 -1)

Then the common difference is ...

  10 -22 = 2d

  -12/2 = d = -6

__

Putting the known values into the formula for the general term, it becomes ...

  an = 22 -6(n -1)

__

This can be simplified to ...

  an = 28 -6n