Evaluate 4(3-1)² i need help with this

Answer:  I believe its c

Step-by-step explanation:

f(x) is (0,+inf)

Answer:

Step-by-step explanation:

   Perimeter of shape is the distance of the path or boundary that surrounds the shape

Perimeter of rectangle =2*length + 2*width

Answer:

there is 3 sides

Step-by-step explanation:

I hope this helps you

In the wuestion, we are given that the point is located at (-8,0). We will draw a graph to represent the point.

Since the brearing is measured from the north we will have.

Since the arrow covers two quadrants, it implies that the bearing would be

Answer:

Answer:

5 years

Step-by-step explanation:

Let x be the unknown numer of years ago when the product of the man and his child's age was 96.

》 x years ago, the man's age = 37 - x

the child's age = 8 - x

(37 - x)(8 - x) = 96

296 - 37x - 8x + x² = 96

x² - 45x - 296 - 96 = 0

x² - 45x - 200 = 0

x² - 5x - 40x - 200 = 0

x(x - 5) -40(x - 5) = 0

(x - 5)(x - 40) = 0

x = 5 years ago or x = 40 years ago

but x = 40 > son's present age.

Thus, x = 5.

Therefore, 5 years ago the product of the ages of the man and his child was 96.

Answer:

0.9156

Step-by-step explanation:

In the picture attached, the data is plotted (I made it using MS Excel, you can use similar programmes or a calculator).

The line that best correlates the data has the following equation:

y = 0.1037x + 50.922

and its correlation coefficient is:

R² = 0.9156

Answer:

Correlation coefficient, r = 0.957

Step-by-step explanation:

Let y represent the weight

Let x represent the height

y                        x                       x²                 y²                     xy

99                     61                      3721            9801               6039

104                    61                      3721            10816              6344

110                     62                     3844           12100              6820

133                     64                     4096           17689             8512

130                     65                     4225           16900            8550

142                     68                     4629           20169            9656

146                     66                     4356           21316              9636

153                     67                     4489           23409            10251

184                     69                     4761            33856            12696

185                     70                     4900           34225            12950

\(\sum y = 1386\), \(\sum x = 653\), \(\sum x^2 = 42737\), \(\sum y^2 = 200276\), \(\sum xy = 91454\)

Correlation coefficient formula,

\(r = \frac{n \sum xy - \sum x \sum y}{\sqrt{(n \sum x^2 - (\sum x)^2) (n \sum y^2 - (\sum y)^2)} } \\r = \frac{10* 91454 - 653*1386}{\sqrt{(10* 42737 - (653)^2) (10* 200276 - (1386)^2)} }\)        

Correlation coefficient, r = 0.957

Answer:

5=1/3x-11  

Step-by-step explanation:

Add eleven to each side to get 16=1/3x. Then multiply each side by three to get 48=x, so x=48.-step explanation:

Answer:

the discount would be 75%

If you divide the value into 4 parts (25% each) the value would be $ 0.50. Therefore, the discount is 75% ($ 1.50)

Step-by-step explanation: hope this helps:)

Answer:

TU = 2 (HD)

Hence, TU = 80

Step-by-step explanation:

line formed by joining 2 mid points of a traingle = 0.5 times of length of 3rd side.

Answer:

I think it is 92. UV and TV are the two sides of the triangle, and yoy are left with the longest side (hypotenuse). Therefore you can use the pythagorean theorem to find your answer a²+b²=c²

So 40+52=92

Answer:

He should do all the steps that are mentioned in the question to make sure the new angle is congruent to angle BAC and has the same properties.

What is the construction of a circle?

Circle constructions are used in many fields such as geometry, engineering, and architecture to create precise circles. It's a fundamental concept in mathematics, and it's important to understand how to construct circles to apply these concepts in different fields.

His next step would be to draw a circle with a center F and a radius equal to BG.

By creating a circle with a center F and a radius equal to BG, He is creating a congruent circle to the original circle A with the center A, and radius AB.

The point of intersection between circle D and ray DE would also be an important step as it would give the location of the new angle. The point of intersection between circle D and circle A would also be an important step as it would confirm that the two circles are congruent.

Drawing ray DE away from angle BAC is also an important step, as it would create a new angle with the same properties as angle BAC.

Hence, He should do all the steps that are mentioned in the question to make sure the new angle is congruent to angle BAC and has the same properties.

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Answer:

y = mx + b

mx = slope

b = y-intercept

y = -6x -2

Answer:

"Translation" simply means Moving ... ... without rotating, resizing or anything else, just moving.

Step-by-step explanation:

Answer:

translation is pronoucing or speaking of somethinng in a different meaning or langaunge.

Step-by-step explanation:

To determine the number of receptacles required for the bathroom counter space, we need to refer to the electrical code guidelines. The specific requirements may vary depending on the country or region, as well as the local electrical codes in place.

In the United States, according to the National Electrical Code (NEC), at least one 20-ampere-rated branch circuit is required to serve the bathroom receptacles. The code specifies that this circuit should be dedicated solely to the bathroom receptacles and should not serve any other areas.

The NEC also states that at least one receptacle outlet is required on the bathroom countertop. This receptacle should be located within 3 feet of the outer edge of the countertop and should be installed above the countertop surface. This means that a receptacle needs to be placed within reach of the bathroom counter space.

Considering the given information that the bathroom counter space is seven feet, including the sink, we need to install at least one receptacle outlet on the countertop within 3 feet of the outer edge. Depending on the specific layout and size of the counter space, additional receptacles may be required to meet the code's requirements for accessibility and convenience.

To ensure compliance with local electrical codes and safety standards, it is advisable to consult with a licensed electrician or refer to the specific electrical codes applicable in your area. They will be able to provide accurate guidance based on the local requirements and regulations.

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The score at 35th percentile is 469.6 marks according to standard deviation and mean.

What is standard deviation?

Standard Deviation could be a measure that shows what quantity variation (such as unfold, dispersion, spread,) from the mean exis

Main body:

Given:

mean of μ = 500  and standard deviation of σ = 80

To answer this, we must find the z-score that is closest to the value 0.35 in the z table. This value turns out to be -0.38:

We can then plug this value into the percentile formula:

Percentile Value = μ + zσ

35th percentile = 500 + (-0.38)*80

35th percentile = 469.6

the score at the 15th percentile weighs about 469.6 marks.

Hence marks at 35th percentile is 469.6

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The endpoints of the line segment after translation will be (−5, 2) and (−3, −2). Then the correct option is A.

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

The translation does not change the shape and size of the geometry. But changes the location.

The endpoints of the line segment are (−2, 7) and (0, 3).

Translate the points 5 units down and 3 units left. Then the points are given as,

(−2 − 3, 7 − 5) and (0 − 3, 3 − 5)

(−5, 2) and (−3, −2)

The endpoints of the line segment after translation will be (−5, 2) and (−3, −2). Then the correct option is A.

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Answer: its 236

Step-by-step explan

Answer:

The answer would be negative 1

Answer:

-1+3=2

Step-by-step explanation:

answer:-1

Answer:

https://youtu.be/ssE-HVO4SY4

Answer:

12

Step-by-step explanation:

2+2+2+2+2+2=12

6×2=12

The height of this BST is 3 since the longest path from the root to a leaf node is through nodes 6, 8, 9. The root is at height 0 and each level adds 1 to the height, so we count 3 levels from the root to the leaf node.

To draw a BST and determine its height, we must insert nodes one at a time. For this particular BST, we start with the root node of value 6. We then insert node 2 as the left child of the root since 2 is less than 6.

Next, we insert node 8 as the right child of the root since 8 is greater than 6. We then insert node 7 as the right child of node 8 since 7 is greater than 8 but less than 9.

Lastly, we insert node 9 as the right child of the root since it is greater than 6 but greater than all of the other nodes in the tree.

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After inserting all nodes, the tree height is 2

We will be inserting nodes into a Binary Search Tree (BST) and determining the tree height.

1. Insert node 6: As this is the first node, it becomes the root of the BST. The tree height is 0.
```
  6
```

2. Insert node 2: Since 2 is less than 6, it will be placed as the left child of 6. The tree height is now 1.
```
  6
 /
2
```

3. Insert node 8: As 8 is greater than 6, it will be placed as the right child of 6. The tree height remains 1.
```
  6
 / \
2   8
```

4. Insert node 7: Since 7 is greater than 6 and less than 8, it will be placed as the left child of 8. The tree height is now 2.
```
  6
 / \
2   8
   /
  7
```

5. Insert node 9: As 9 is greater than 6 and 8, it will be placed as the right child of 8. The tree height remains 2.
```
  6
 / \
2   8
   / \
  7   9
```

After inserting all nodes, the tree height is 2 (remember, the root is at height 0).

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Answer:

A

Step-by-step explanation:

7*9*5*10*10*10*10=3150000

The amount we will have after to be paid $13,177.97

We have,

P = $ 8100

R= 7.2%

T= 7 year

r = R/100

r = 7.2/100

r = 0.072 rate per year,

Then solve the equation for A

A = P(1 + r/n\()^{nt\)

A = 8,100.00(1 + 0.072/1\()^{(1)(7)\)

A = 8,100.00(1 + 0.072)⁷

A = $13,177.97

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The surface area of that part of the plane 10x+7y+z=4 that lies inside the elliptic cylinder \(\frac{x^2}{25} +\frac{y^2}{9}\) is 15π√150 and this can be determined by using the given data.

We are given the two equations are:

10x + 7y + z = 4---------(1)

\(\frac{x^2}{25} +\frac{y^2}{9} =1-------------(2)\)

equation(1) is written as

z = 4 - 10x - 7y-----------(3)

The surface area is given by the equation:

A(S) = ∫∫√[(∂f/∂x)² + (∂f/∂y)² + 1]dA------------(4)

compare equation(4) with equation(3) we get the values of ∂f/∂x and

∂f/∂y

∂f/∂x = -10

∂f/∂y = -7

substitute these values in equation(4)

A(S) = ∫∫√[(-10)² + (-7)² + 1]dA

A(S) = ∫∫√[100 + 49 + 1]dA

A(S) = ∫∫√[150]dA

A(S) = √150 ∫∫dA

Where ∫∫dA is the elliptical cylinder

From the general form of an area enclosed by an ellipse with the formula;

comparing x²/a² + y²/b² = 1  with x²/25 + y²/9 = 1, from that we get the values of a and b

a = 5 and b = 3

So, the area of the elliptical cylinder = πab

Thus;

A(S) = √150 × π(5 × 3)

A(S) = 15π√150

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Step 1:

Draw the figure

The diagonals of a rhombus bisect each other,

therefore

FJ = JH

this implies that

JH = 4.

Opposite angles of a rhombus are equal, so

The diagonals of a rhombus bisect the interior angles.

Therefore,

The diagonals of a rhombus are perpendicular

GH = 8 (b)

Also,

Using the Pythagorean rule,

FH = FJ + JH

this implies that

FH = 4 + 4 = 8

FH = 8

right choice B

The diagonals of a rhombus bisect the interior angles.

therefore

Sum of the interior angles of a rhombus is 360degrees.

And opposite interior angles of a polygon are congruent.

Therefore

Also,

Reflection and rotation preserve length , so the perimeter of ΔABC is equal to the perimeter of ΔXYZ. A possible set of values for AB, BC and AC is  7,9 and 10 units.

A rotation is a transformation that occurs when a figure is turned a preset number of degrees around a fixed point (referred to as the center of rotation).

The given figure is a triangle ABC such that it is transformed by a rotation of 90 °and reflection about y=-5.

The image thus formed will be congruent to the object and will have same sides and perimeter.

Hence the perimeter will be 26 units and the possible length of AB,BC and AC will be 7,9 and 10 units which is the only possible option as a triangle cannot have sides 2 , 14  and 10.(2+10<14)

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change the function f(x) and interval a=1/3 , b=1 in above code (remaining same code) in the iteration

clear all;

s=1200;

h=20;

f(x)= x-2^(-x) ;

a=1/3;

b=1;

format long

eps_ abs = 0.000005;

eps_ step = 0.000005;

n=0;

while ((b - a)/2 >= eps_ step || ( abs( f(a) ) >= eps_ abs && abs( f(b) ) >= eps_ abs )&& n~=100 )

n=n+1;

c = (a + b)/2;

if ( f(c) == 0 )

break;

else if ( f(a)*f(c) < 0 )

b = c;

else

a = c;

end

err=abs( (b-a)/2);

end

n

c

err

out put

n = iteration

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