Evaluate.
{3+ [-5 (2 – 4) : 2]} •3

y equals negative two thirds times x minus 2 is the equation of graph.

The slope of the line is the ratio of the rise to the run, or rise divided by the run.

The given two points are 3 comma 0 and 0 comma negative 2.

i.e (3,0)(0,-2)1)

The formula for slope is (y₂-y₁)/(x₂-x₁)

slope = (-2 - 0) / (0 - 3)

= -2 / -3

The negative negative are multiplied we get positive

= 2/3

The standard form of a line is y = mx + b, where m is slope of line and b is y intercept.

slope(m) = 2/3

We can use either of points (0,-2)...x = 0 and y = -2

now sub and find b, then y intercept

-2 = 2/3(0) + b

-2 = b

so  equation is : y = 2/3x - 2

Hence y equals negative two thirds times x minus 2 is the equation of graph.

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As group size increases, the complexity of the group increases (option A).

What is group size?

Even within the same species, group size can vary greatly, so we frequently need statistical tests to evaluate these measurements between two or more samples as well as statistical measures to quantify group size. Since group sizes typically follow an aggregated (right-skewed) distribution, where most groups are small, few are large, and a very small number are very large, group size measures are infamously challenging to handle statistically.

As group size increases, the complexity of managing and coordinating the group also increases.

The larger the group, the more difficult it is to communicate effectively, to make decisions, and to ensure that everyone is working towards a common goal.

This is why larger organizations often have more complex hierarchies and more formalized communication and decision-making processes.

Therefore, the correct option is A.

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After performing the listed transformations together, the final function will be:

\(y=-(\sqrt{(-x)}) -7\)

Starting with the given function is  \(y=\sqrt{x}\) and applying the listed transformations. First we need to shift the function up by seven units, this can be done by adding 7 to the function, giving y = √x + 7.

Then we need to reflect the function about x-axis, t-his can be done by multiplying the function by -1, giving \(y= -\sqrt{x} -7\).

Then we finally need to reflect the function about y-axis, this can be done by replacing x with -x in the function, giving \(y= -(\sqrt{(-x)})-7\).

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Answer:A topic sentence is used to bring

to a paragraph.

Step-by-step explanation:

A topic sentence is used to bring

to a paragraph.

Answer:

\(\mathrm{Factor}\:x^2+5x+6:\quad \left(x+2\right)\left(x+3\right)\)

Step-by-step explanation:

Let us assume the trinomial of the form \(x^2+bx+c\)

\(x^2+5x+6\)

Break the expression into the groups

\(=\left(x^2+2x\right)+\left(3x+6\right)\)

Factor out 'x' from \(x^2+2x\)

i.e.

\(\:x^2+2x=x\left(x+2\right)\)

Factor out '3' from 3x+6

i.e.

3x+6 = 3(x+2)

so the expression becomes

\(\:x^2+2x=x\left(x+2\right)\)

\(\mathrm{Factor\:out\:common\:term\:}x+2\)

\(=\left(x+2\right)\left(x+3\right)\)

Hence,

\(\mathrm{Factor}\:x^2+5x+6:\quad \left(x+2\right)\left(x+3\right)\)

Answer:

C. two-thirds raised to the fourteenth

Step-by-step explanation:

The number of each type of ad that the department can run each month are:

TV Ads = 32

Radio Ads = 12

News Ads =  20

x = number of tv ads

y = number of radio ads

z = number of news ads

Two formulas are indicated.

x + y + z = 64

1000x + 200y + 600z = 46400

they want as many tv ads as radio and news ads combined.

equation for that is x = y + z

since x = y + z, replace x with y + z in both equations to get;

y + z + y + z = 64

1000 * (y + z) + 200 * y + 600 * z = 46400

combine like terms and simplify to get:

2y + 2z = 64

1000y + 1000z + 200y + 600z = 46400

combine like terms again to get:

2y + 2z = 64

1200y + 1600z = 46400

Solving simultaneously gives:

y = 12

z = 20

Thus:

x = 12 + 20

x = 32

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Answer:

expression.

2(4x+3y)

2(4(4)+3(7))

2(16+21)

2( 37)

74

The cost of the 28 inches and 36 inches diagonal Smart TVs, based on the quadratic cost function are;

28 - inch diagonal; $134

36 - inch diagonal; $165

A quadratic function is a function of the form f(x) = a·x² + b·x + c, where a ≠ 0, and a, b, and c are numbers.

The cost of the Smart TV as a function of the diagonal length is C(d) = 0.322·d² - 16.776·d + 351.444

The above function indicates that the cost of a Smart TV that is 28 inches long is; C(28) = 0.322 × 28² - 16.776 × 28 + 351.444 ≈ 134

The cost of a Smart TV with a diagonal of 36 inches is therefore;

C(36) = 0.322 × 36² - 16.776 × 36 + 351.444 ≈ 165

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Answer: LO  is parallel to MN

please tell me if I am wrong

Answer:

3. 9

4. 7.92

Step-by-step explanation:

3x3x3

2.2 x 2 x 1.8

i cant do 5 rn i gtg eat hope this helps

The answer of the given question based on the scatterplot for determining  when she will reach 10,000 songs the answer is Maria will reach 10,000 songs in approximately 13.33 months, or about 14 months.

Slope is  measure of  steepness or incline of  line. In geometry and mathematics, slope is defined as  ratio of the change in  y-coordinates to  change in  x-coordinates between two distinct points on  line. This is often represented by  letter "m".

To determine when Maria will reach 10,000 songs, we need to find the point on the line of best fit where the y-value is 10,000.

From the scatterplot, we can estimate that the line of best fit intersects the y-axis at approximately 2000. This means that the initial number of songs downloaded was 2000.

Next, we need to find the slope of the line of best fit. Let's choose the points (5, 6500) and (10, 9500).

The slope of the line passing through these two points is:

slope = (y2 - y1)/(x2 - x1) = (9500 - 6500)/(10 - 5) = 600 songs per month

This means that Maria is downloading 600 songs per month on average.

Finally, we can use the slope-intercept form of a line to find the x-value when the y-value is 10,000:

y = mx + b

10,000 = 600x + 2000

8000 = 600x

x = 13.33

Therefore, Maria will reach 10,000 songs in approximately 13.33 months, or about 14 months.

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The statement which best describes the data given is C) The data can be modeled by a quadratic function.

Given a data,

The numbers of customers that visited a store each hour for several hours after the store opened at 8 am are shown in the table.

It is clear that the number of customers increases to 18 for the first 4 hours and then decreases to 0 after 9 hours.

So this data cannot be modeled by a linear function or an exponential function.

Also since the number of customers arriving is not constant, this cannot be expressed as constant function.

So it is quadratic function.

Hence the correct option is c.

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Answer:

I hope this helps

Step-by-step explanation:

This is not the same exact question but it shows you the throw down.

A+B+C= 180

so if A=60 and B=70

The sin is= 8

so 60+70= 130

130+c=180

130-180= 50

C=50

Answer:

There is no sufficient evidence to support the claim that mean commuting time is more than 1.9 hours

Step-by-step explanation:

From the question we are told that

   The  population mean is  \(\mu = 1.9 \ hr\)

   The  sample mean is  \(\= x = 2.2\)

    The standard deviation is  \(\sigma = 0.7\)

     The  sample size is  \(n = 14\)

      The level of significance is  \(\alpha = 0.01\)

The null hypothesis is  \(H_o : \mu = 1.9 \ hr\)

The  alternative hypothesis is \(H_a : \mu > 1.9 \ hr\)

 Generally the test statistics is mathematically represented as

               \(t = \frac{\= x - \mu }{ \frac{\sigma}{ \sqrt{n} } }\)

              \(t = \frac{ 2.2 - 1.9 }{ \frac{0.7 }{ \sqrt{14} } }\)

             \(t = 1.6036\)

The  p-value is obtained from the z-table,  the value is  

           \(p-value = P(t > 1.6036) = 0.054401\)

Looking at the value of  \(p-value \ and \ \alpha\)  we see that  \(p-value > \alpha\)

So we fail reject the null hypothesis

    Hence we can conclude that there is no sufficient evidence to support the claim that mean commuting time is more than 1.9 hours

Step-by-step explanation:

it is still precisely the same method and formula just with different numbers.

y = -16x² + 212x + 139

we assume, the ground is at 0 ft.

so, we need to solve

0 = -16x² + 212x + 139

the general solution for such quadratic equations is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = -16

b = 212

c = 139

x = (-212 ± sqrt(212² - 4×-16×139))/(2×-16) =

= (-212 ± sqrt(44944 + 8896))/-32 =

= (-212 ± sqrt(53840))/-32

x1 = (-212 + 232.0344802...)/-32 = -0.626077506... s

x2 = (-212 - 232.0344802...)/-32 = 13.87607751... s

again, the negative solution for time did not make any sense, so, x2 is our solution.

the rocket will hit the ground after about 13.88 seconds.

Answer:c

Step-by-step explanation:

Answer:

\(-2(-3)x^{2} +7 \cdot 3 +10\)

\(-3x^{2} \cdot 2+7\cdot 10\\\)

\(31-3^{2} \cdot 2\)

31-18

=13

Step-by-step explanation:

answer is 13 for #1

Step-by-step explanation:

For RIGHT triangles   sin (angle) = opposite LEG / hypotenuse

 for this triangle sin (10) = 500/x

then   x = 500 / sin (10°) = 2879.4 m     Round as necessary

Answer:

19

Step-by-step explanation:

fx=16+4

fx=20

gx= 20-1

gx=19

19

Answer:

10x=40

x=40/10

x=4

4 is the answers, not -4

Step-by-step explanation:

pls mark as brainliest

Answer:

Camera 2nd has to cover the maximum angle, i.e. \(78.70^\circ\).

Step-by-step explanation:

Please have a look at the triangular park represented as a triangle \(\triangle ABC\) with sides

a = 110 ft

b = 158 ft

c = 137 ft

1st camera is located at point C, 2nd camera at point B and 3rd camera at point A respectively.

We can use law of cosines here, to find out the angles \(\angle A, \angle B, \angle C\)

As per Law of cosine:

\(cos C = \dfrac{a^{2}+b^2-c^2 }{2ab}\\cos B = \dfrac{a^{2}+c^2-b^2 }{2ac}\\cos A = \dfrac{b^{2}+c^2-a^2 }{2bc}\)

Putting the values of a,b and c to find out angles \(\angle A, \angle B, \angle C\).

\(cos C = \dfrac{110^{2}+158^2-137^2 }{2\times 110 \times 158}\\\Rightarrow cos C = \dfrac{12100+24964-18769 }{24760}\\\Rightarrow cos C =0.526\\\Rightarrow C = 58.24^\circ\)

\(cos B = \dfrac{110^{2}+137^2-158^2 }{2\times 110 \times 137}\\\Rightarrow cos B = \dfrac{12100+18769 -24964}{30140}\\\Rightarrow cos B = \dfrac{5905}{30140}\\\Rightarrow cos B =0.196\\\Rightarrow B = 78.70^\circ\)

\(cos A = \dfrac{158^{2}+137^2-110^2 }{2\times 158 \times 137}\\\Rightarrow cos A = \dfrac{24964+18769-12100}{43292}\\\Rightarrow cos A = \dfrac{31633}{43292}\\\Rightarrow cos A = 0.731\\\Rightarrow A = 43.05^\circ\)

Camera 2nd has to cover the maximum angle, i.e. \(78.70^\circ\).

Answer:

\(V = 6373.2cm^3\)

Step-by-step explanation:

Given

\(V = \frac{4}{3}\pi r^3\) --- Volume

\(D = 23cm\) --- Diameter

Required

Find the volume

First, we calculate the radius, r

\(r = \frac{1}{2}D\)

Substitute 23 for D

\(r = \frac{1}{2} * 23\)

\(r = 11.5\)

Substitute 11.5 for r in \(V = \frac{4}{3}\pi r^3\)

\(V = \frac{4}{3} * \frac{22}{7} * 11.5^3\)

\(V = \frac{4*22*11.5^3}{3*7}\)

\(V = \frac{133837}{21}\)

\(V = 6373.19047619\)

\(V = 6373.2cm^3\)

Answer:

\(\mathbf{ - \dfrac{3 \pi^2}{2}}\)

Step-by-step explanation:

Given that:

F(x, y, z) = 5xi - 5yj - 3zk

The objective is to evaluate the \(\int _c F \ dr .C\)

and C is given by the vector function  r(t) = (sin t, cost, t) where  0 ≤ t ≤ π

\(F(r(t)) = 5 \ sint \ i - 5 \ cost \ j - 3t \ k\)

∴

\(\int_c F . \ dr = \int ^{\pi}_{0} ( 5 \ sint \ i - 5 cos t \ j - 3 t \ k ) ( cos \ t , - sin \ t , 1 ) \ dt\)

\(=\int ^{\pi}_{0} ( 5 \ sint \ cost+ 5 cos t \ sin t - 3 t) dt\)

\(=\int ^{\pi}_{0} ( 10 \ sint \ cost) \ dt -3 \int ^{\pi}_{0} \ dt\)

\(= \int ^{\pi}_{0} ( 10 \ sint \ cost) \ dt - 3 [\dfrac {t^2}{2}]^{\pi}_{0} \ \ dt\)

\(= 10 [\dfrac{sin^2 \ t}{2}]^{\pi}_{0} - \dfrac{3}{2}(\pi)^2\)

By dividing 2 with 10 and integrating \(= 10 [\dfrac{sin^2 \ t}{2}]^{\pi}_{0}\); we have:

\(=5(sin^2t -sin^2 0) -\dfrac{3 \pi^2}{2}\)

\(=5(0) -\dfrac{3 \pi^2}{2}\)

\(= 0 - \dfrac{3 \pi^2}{2}\)

\(\mathbf{= - \dfrac{3 \pi^2}{2}}\)

The completed statement with regards to the area of the square and the rectangle are;

The estimated value of the length of the shaded square is 5·√5 inches. The estimated value of the area of the unshaded rectangle is 175 square inches.

The area of a square is the product of the side lengths which are congruent, therefore;

Area of a square = Side length, s × Side length, s = s²

The possible figure in the question includes;

A shaded square that is 125 square inches

An adjacent unshaded rectangle, that share a side with the square that has a side length of 7·√5 inches

Please find attached the possible drawing of the figure in the question, (not drawn to scale) obtained from a similar question posted online, created with MS Word.

Therefore;

The side length of the square = √(125) inches =  5·√5 inches

The estimated value of the side length of the square is; 5·√5 inches

The area of a rectangle = Length × Width

The length of the rectangle = 7·√5 inches

The width of the rectangle = 5·√5 inches

Therefore;

The area of the unshaded rectangle, therefore is; 5·√5 × 7·√5 = 175

The estimated area of the unshaded rectangle is 175 square inches

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Answer:

14

Step-by-step explanation:

According to the equation the given all necessary math work are:

\(A: (x -f)^2 +(y -g)^2 = h^2\)

B:  domain: [-5, 11]; range: [-9, 7]

C:  yes, inside

The hypοtenuse's square is equal tο the sum οf the squares οf the οther twο sides if a triangle has a straight angle (90 degrees), accοrding tο the Pythagοras theοrem. Keep in mind that BC² = AB² + AC² in the triangle ABC signifies this. Base AB, height AC, and hypοtenuse BC are all used in this equatiοn. The lοngest side οf a right-angled triangle is its hypοtenuse, it shοuld be emphasized.

Part A:

Use οf the Pythagοrean theοrem gets yοu tο the equatiοn fοr a circle in essentially οne step:

sum οf squares οf sides = square οf hypοtenuse

\((x -f)^2 +(y -g)^2 = h^2\) . . . . . . circle cantered οn (f, g) with radius h

Part B:

The circle will be defined fοr values οf x in the dοmain f ± h, and fοr values οf y in the range g ± h.

dοmain: 3 ± 8 = [-5, 11]

range: -1 ±8 = [-9, 7]

Part C:

The distance frοm pοint (10, -4) tο (f, g) is ...

\(h^2 = (10 -3)^2 +(-4 -(-1))^2\)

\(h^2 = 7^2 +(-3)^2 = 49 +9 = 58\)

h = √58 < 8 . . . . the distance tο the pοint is less than h=8.

The pοint is inside the circle.

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Answer:

attached below is the solution

Step-by-step explanation:

|x| < 7

= -7 < x < 7

| y | < 3

= -3< y < 3

attached below is the shaded region in the xy-plane

9514 1404 393

Answer:

  50 failed

Step-by-step explanation:

If 25% failed, then 100% -25% = 75% passed. The number who failed is ...

  failed/passed = 25%/75% = 1/3

of the number who passed.

  (1/3)(150) = 50 . . . . candidates failed