1. What is the equation for the following graph
use photo for graph ​

Answer:

\(-39\sqrt{3}\)

Step-by-step explanation:

Given expression:

\(\frac{1}{2}\sqrt{48}-5\sqrt{147}-\sqrt{108}\)

Rewrite 48 as 4²·3, 147 as 7²·3 and 108 as 6²·3:

\(\implies \frac{1}{2}\sqrt{4^2 \cdot 3}-5\sqrt{7^2 \cdot 3}-\sqrt{6^2 \cdot 3}\)

\(\textsf{Apply radical rule} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}:\)

\(\implies \frac{1}{2}\sqrt{4^2} \sqrt{3}-5\sqrt{7^2} \sqrt{3}-\sqrt{6^2} \sqrt{3}\)

\(\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0:\)

\(\implies \frac{1}{2}\cdot 4} \sqrt{3}-5\cdot7 \sqrt{3}-6 \sqrt{3}\)

Simplify:

\(\implies 2 \sqrt{3}-35 \sqrt{3}-6 \sqrt{3}\)

Factor out the common term √3:

\(\implies (2 -35-6) \sqrt{3}\)

Carry out the subtraction inside the parentheses:

\(\implies -39\sqrt{3}\)

well, let's take a look at the tickmarks on the triangle, the tickmarks mean that AC = CB, both AC and CB stemming out of vertex C, and both twin sides will make twin angles at the "base" or namely ∡A = ∡B, that means that 34 = x - 5, let's also recall that the sum of all interior angles in a triangle is 180°, so

\(34=x-5\implies \boxed{39=x} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\measuredangle A}{34}~~ + ~~\stackrel{\measuredangle B}{34}~~ + ~~\stackrel{\measuredangle C}{4y}~~ = ~~180\implies 68+4y=180 \\\\\\ 4y=112\implies y=\cfrac{112}{4}\implies \boxed{y=28}\)

Answer:

y = 28

Step-by-step explanation:

The dashes on line segments AC and BC indicate that the line segments are equal in length.

Therefore, as the triangle has two sides of equal length, it is an isosceles triangle.

The base angles of an isosceles triangle are equal, therefore ∠A = ∠B.

Interior angles of a triangle sum to 180°.  

Therefore:

⇒ ∠A + ∠B + ∠C = 180°

⇒ 34° + 34° + 4y° = 180°

⇒ 68° + 4y° = 180°

⇒ 4y° = 112°

⇒ y = 112° ÷ 4°

⇒ y = 28

The range will change the most, if the 24-inch measurement is removed from the data.

The correct answer is an option (c)

Consider the table with outlier 24.

The mean of this sample of 21 brown bullhead fish would be,

x₁ = (8 + (3 × 9) + (2 × 10) + (2 × 11) + (4 × 12) + (3 × 13) + (2 × 14) + (2 × 15) + 16 + 24) / 21

x₁ = 262/21

x₁ = 12.476

And the median would be,

m₁ = 12

And the range would be,

R₁ = 24 - 8

R₁ = 16

If we remove outlier 24 then,

mean x₂ = 11.9

median  m₂ = 12

range  R₂ = 16 - 8

               = 8

Therefore, the range will change the most.

The correct answer is an option (c)

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The complete question is:

The table lists the lengths, to the nearest inch, of a random sample of 21 brown bullhead fish. The outlier measurement of 24 inches is an error. Of the mean, median, and range of the values listed, which will change the most if the 24-inch measurement is removed from the data?

a) mean

b) median

c) range

d) They will all change by the same amount.

Answer:

\( {3}x^{2} + 3x - 6\)

Answer:

The parabola has the following characteristics:

(i) \(Dom\{f(x)\} = \mathbb{R}\)

(ii) \(Ran\{f(x)\} = (-\infty, 1]\)

(iii) The parabola has an absolute maximum since \(C < 0\).

(iv) The vertex parameter of the parabola is -2.

Step-by-step explanation:

Let suppose that parabola has a vertical axis of symmetry. From Analytical Geometry, the vertex form of the equation of the parabola is defined by the following formula:

\(y-k = C\cdot (x-h)^{2}\) (1)

Where:

\(x\) - Independent variable.

\(y\) - Dependent variable.

\(h\), \(k\) - Coordinates of the vertex.

\(C\) - Vertex parameter.

If we know that \((x,y) = (2,-1)\) and \((h,k) = (3,1)\), then the vertex parameter of the parabola is:

\(-1-1 = C\cdot (2-3)^{2}\)

\(-2 = C\)

\(C = -2\)

According to this information, we find the following characteristics:

(i) \(Dom\{f(x)\} = \mathbb{R}\)

(ii) \(Ran\{f(x)\} = (-\infty, 1]\)

(iii) The parabola has an absolute maximum since \(C < 0\).

(iv) The vertex parameter of the parabola is -2.

Answer: 6.3%

Step-by-step explanation:

Answer:the dots -2 and 2

Step-by-step explanation:

Answer:

$375.32

Step-by-step explanation:

100% - 40% = 80%

80/100 = 0.8 (multiplier)

521.28 x 0.8 = 417.024

417.024 to 417.02 (2 d.p.)

100 - 10 = (ans)/100 = 0.9

417.02 x 0.9 = 375.318

$375.32

Step 1: Find the sales price

The surfboard was marked down 40% of its original price, $521.28.

0.40(521.28) = 208.512

521.28 - 208.512 = 312.768

Step 2: Find the final price

We add the tax on the sales price, not the original price. The tax is 10% in this case.

0.10(312.768) = 31.2768

312.768 + 31.2768 = 344.0448

Final price = $344.04

---I did not round until the end in this case, but rounding at every step leads to an answer of $344.05

Hope this helps!

Answer:

\(\frac{5}{2}\)

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - \(\frac{2}{5}\) x + 3 ← is in slope- intercept form

with slope m = - \(\frac{2}{5}\)

Given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-\frac{2}{5} }\) = \(\frac{5}{2}\)

Step-by-step explanation:

FX=3+5+4+3+5+4

=24

N=6

mean (x)=?

Now,

x=FX÷N

=24÷6

=4

The perimeter of rhombus ABCD is 20 units.

To determine the perimeter of rhombus ABCD, we need to find the lengths of its sides. Given the coordinates of the four vertices of the rhombus (A, B, C, D), we can use the distance formula to calculate the lengths of the sides.

The coordinates of the vertices are as follows:

A(1,1), B(-2,-3), C(-5,1), D(-2,5)

Using the distance formula, we can find the lengths of the sides AB, BC, CD, and DA.

AB = √[(x2 - x1)^2 + (y2 - y1)^2]

= √[(-2 - 1)^2 + (-3 - 1)^2]

= √[9 + 16]

= √25

= 5 units

BC = √[(-5 - (-2))^2 + (1 - (-3))^2]

= √[9 + 16]

= √25

= 5 units

CD = √[(-2 - (-5))^2 + (5 - 1)^2]

= √[9 + 16]

= √25

= 5 units

DA = √[(1 - (-2))^2 + (1 - 5)^2]

= √[9 + 16]

= √25

= 5 units

Since all four sides have a length of 5 units, the perimeter of rhombus ABCD is the sum of the lengths of its sides:

Perimeter = AB + BC + CD + DA

= 5 + 5 + 5 + 5

= 20 units

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Answer:

13.86

Step-by-step explanation:

\(8^2+x^2=16^2\\64+x^2=256\\x^2=192\\\sqrt{x^2} =\sqrt{192} \\x=13.86\)

Answer:

no sé amigo apenas voy el el kinder

Answer:

\((5y + 1)^{2} - (2(y - 1))^{2} \)

Step-by-step explanation:

1) Rewrite it in the form a² - b², where a = 5y + 1 and b = 2(y - 1 ).

\((5y + 1) ^{2} - (2(y - 1)) ^{2} \)

2) Use multiplication Distributive Property: (xy)^a = x^a y^a.

\((5y + 1)^{2} - {2}^{2} (y - 1 {)}^{2} \)

3) Simplify 2² to 4.

\((5y + 1 {)}^{2} - 4(y - 1 {)}^{2} \)

4) Rewrite it in the form a² - b², where a = 5y + 1 and b = 2(y-1).

\((5y + 1 {)}^{2} - (2(y - 1))^{2} \)

Therefor, the answer is ( 5y + 1 )² - (2( y - 1 ))².

Answer:

It depends

Step-by-step explanation:

It depends on the questions, some times you just substract the number from 100 which is the full percentage but sometimes it is like the example below.

lets say a city lost 2% of population each year population now?

98/100*98*100=0.9604= 96.04%

so the lost hear is 100-96.04=3.96

Answer:

n <−4

42 - 28n + 4n >138

42 - 24n >138

-24n > 138 - 42

-24n >96

n <−96/24

N <−4

The length of DB, AD and AC are 24 m, 32 m, 42 m respectively. The measurement of ∠C = 67.38°.

What is a right angle triangle?

A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangled triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.

Given that, in △BCD

BD = 24 m

DC = 10 m

BC = 26 m

△BCD is a right angle triangle.

The trigonometry ratio of sine is ratio of height to hypothenuse.

With respect to C, the height of △BCD is 24m and hypothenuse is 26m.

sin C = height/hypothenuse

sin C = 24/26

C = 67.38°

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The average score of 301, for a simple random sample of 1,000 students, is approximately 0.95.

a) To determine the likely size of the chance error in the average score of 301 for a cluster sample of 1,000 students, we need additional information about the cluster sampling design.

The cluster sampling method involves dividing the population into clusters, selecting a subset of clusters, and then sampling all individuals within the selected clusters.

The likely size of the chance error depends on the within-cluster variability and the between-cluster variability.

Without information about the variability at each level, we cannot accurately estimate the size of the chance error in this specific scenario.

Therefore, we cannot fill in the blank without more details regarding the cluster sampling design and the variability present in the clusters.

b) If a simple random sample of 1,000 students was tested, we can estimate the likely size of the chance error in the average score of 301. Since a simple random sample implies that each student has an equal chance of being selected, we can use the standard error of the mean formula to estimate the size of the chance error.

The standard error of the mean (SE) is calculated as the standard deviation (SD) divided by the square root of the sample size (n):

SE = SD / √n

Given that the SD is 30 and the sample size (n) is 1,000, we can calculate the standard error:

SE = 30 / √1000 = 30 / 31.62 ≈ 0.95

Therefore, the likely size of the chance error in the average score of 301, for a simple random sample of 1,000 students, is approximately 0.95.

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Answer:

3 sec

Step-by-step explanation:

30 km/s is 30 kilometers per second. There are 90 km. #0 km is 1/3 of 90 km.

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The area of the window is 8\(m^{2}\).

An object's area is how much space it takes up in two dimensions. It is the measurement of the number of unit squares that completely cover the surface of a closed figure.

The word "area" refers to a free space. The length and width of a form are used to compute its area.

Any shape's area can be calculated by counting how many unit squares will fit inside of it.

According to the question,

Length of window=2m

Width of window=4m

Area of window=Length*Width

                          =2*4

                          =8\(m^{2}\)

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Answer:

See below

Step-by-step explanation:

Center:   (-3, 4)

radius = r = \(\sqrt{25}\) = 5

diameter = 2r = 10

Answer:

Center= (3,-4)   Radius=5   Diameter=10

Step-by-step explanation:

The numbers (3,-4) are the coordinates in the center of a circle. The radius is squared to get the end number so to get the radius, you have to find its square root- \(\sqrt{25\) =5. The diameter is 2 times bigger than the radius so 5 times 2= 10.

To properly measure the volume of water in a calibrated glass device such as a graduated cylinder, follow these steps:

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The time needed to complete a certain test is a normal distribution with a mean of 43 minutes and a standard deviation of 8 minutes.

A normal distribution is a bell-shaped curve that represents a continuous probability distribution. The mean, represented by the symbol μ (mu), is the central tendency of the distribution, while the standard deviation, represented by the symbol σ (sigma), measures the spread of the data. In this case, the mean time needed to complete the test is 43 minutes, and the standard deviation is 8 minutes. This means that most people will take around 43 minutes to complete the test, with fewer people taking either longer or shorter times. The standard deviation of 8 minutes suggests that the time it takes people to complete the test can vary by up to 8 minutes from the mean. The normal distribution is a widely used statistical model, and understanding its properties can help us make predictions and draw conclusions about data.

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The answer is correct, we can plot both triangles on a Coordinate plane and visually inspect the result. If we plot triangle ABC with vertices A(-3, 3), B(0, 4), and C(-3, 0), and then plot the image triangle A'B'C' with vertices A'(-3, -1), B'(0, 0), and C'(-3, -4), we can see that the image is a translation of the original triangle down by 4 units.

To determine the coordinates of the vertices of the image of triangle ABC after being translated 4 units down, we need to subtract 4 from the y-coordinates of each vertex. This is because a translation is a type of transformation that moves each point of a figure a certain distance in a certain direction.

So, starting with the preimage of triangle ABC with vertices at A(-3, 3), B(0, 4), and C(-3, 0), we can find the image by subtracting 4 from the y-coordinates:

A'(-3, 3 - 4) = A'(-3, -1)

B'(0, 4 - 4) = B'(0, 0)

C'(-3, 0 - 4) = C'(-3, -4)

Therefore, the coordinates of the vertices for the image after the translation are A'(-3, -1), B'(0, 0), and C'(-3, -4).

So, the correct option is A) A′(−3, −1), B′(0, 0), C′(−3, −4).

To check if the answer is correct, we can plot both triangles on a coordinate plane and visually inspect the result. If we plot triangle ABC with vertices A(-3, 3), B(0, 4), and C(-3, 0), and then plot the image triangle A'B'C' with vertices A'(-3, -1), B'(0, 0), and C'(-3, -4), we can see that the image is a translation of the original triangle down by 4 units.

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The dimensions of the rectangular pen to minimize the amount of material needed is 4L which gives 160ft.

The minimum length or breadth of the open space type, as measured along the longest two (2) straight lines meeting at a right angle to define the lot's maximum length and width.

With regard to the above problem,

let us say L is the lenght of the rectangle and W is the width

Based on the formula for the area of a rectangle,

L x W  = 1600ft

To minimize the perimeter, of the rectangle, we must assume that:

L = W

that is L² = 1600

If we applied square root to both sides of the equation, we'd have


L = 40

Thus the minimum perimeter is given as: 4L = 4 x 40 = 160ft.

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Answer:

The Independent Variable is the variable or thing that depends on nothing, nothing can affect it, nor can it be changed by any other variables, in this case the Independent variable is the Fish tank, the fish tank depends on nothing, and will stay the same.

The Dependent Variable is the variable or thing that depends on one or more variables in the equation, it be changed by any other variables, in this case the dependent variable is the fish, the fish depend on the water in the tank.

Answer:

n = 3

Step-by-step explanation:

to find the value of n

we need to transpose

7n + 12 = 3n+ 8n

7n + 12 = 11n

12 = 11n -7n

12 = 4n

n = 12/4

n = 3

if ur trying to find the value of n then n=3