HELP MEEEEE
(The problem is in the picture)

Answer:

x^2 -6x +6

Step-by-step explanation:

Square of a difference (can be found in IM2)

Formula: a^2 -2ab +b^2

x= a; 3= b

(x -3)(x -3)

Plug in to formula.

x^2 -2(x)(3) +3^2

Simplify.

x^2 -6x +6

Answer:

[tex](x - 3)^{2}[/tex]

Answer:

3876

Step-by-step explanation:

Given the following :

Fraternity members = 20

They are to attend 5 different parties in groups of 4

Meaning a group = 4 persons

Atleast one brother will attend exactly one of the parties. (the brothers are indistinguishable).

Then, exactly one brother at a party (20 - 1) = 19, since they are indistinguishable.

Group members are in 4's

19C4

From: nCr = n! /(n-r)! r!

19C4 = 19! / (19 - 4)! 4!

= 19! / 15! 4!

= (19 * 18 * 17 * 16) / (4 * 3 * 2)

= 93024 / 24

= 3876

Answer:

[tex]45^{3}[/tex] inches

Step-by-step explanation:

To calculate the volume of a rectangular prism(or in this case, the rectangular box), you need to multiply the length, width and height together.

length x width x height

9 x 5 x 1

=  [tex]45^{3}[/tex] inches

Answer:

the answer is -5 -p

Step-by-step explanation:

the reason why this is, because negative 5 is less than (-) the variable p.

Answer:

12 cells every hour.

Step-by-step explanation:

You would do 2 x 6

(the 2 is the cells per hour, and the 6 is the amount of hours)

Answer:

The box should have base 16ft by 16ft and height 8ft Therefore,dimensions are 16 ft by 16 ft by 8 ft

Step-by-step explanation:

We were given the volume of the tank as, 2048 cubic feet.

Form minimum weight, the surface area must be minimum.

Let the height be h and the lengths be x

the volume will be: V=x²h then substitute the value of volume, we have

2048=hx²

hence

h=2048/x²

Since the amount of material used is directly proportional to the surface area, then the material needs to be minimized by minimizing the surface area.

The surface area of the box described is

A=x²+4xh

Then substitute h into the Area equation we have

A= x² + 4x(2048/x²)

A= x² + 8192/x

We want to minimize

A

dA/dx = -8192/x² + 2 x= 0 for max or min

when dA/dx=0

dA/dx= 2x-8192/x²=0

2x=8192/x²

Hence

2x³=8192

x³=4096

x=₃√(4096)

X=16ft

Then h=2048/x²

h=2048/16²

h=8ft

The box should have base 16ft by 16ft and height 8ft

Hence the dimensions are 16 ft by 16 ft by 8 ft

Answer:

The answer is in the picture below

Step-by-step explanation:

Hope this helps!

Figure number four in the image shows △MNP reflected over the y-axis to form △M`N`P`. The correct option is D.

The reflection operator geometrically repositions image elements, or pixel values, in such a way that they are reflected about a user-specified image axis or image point and placed in a new position in a matching output image.

In the given image option fourth is showing the correct reflection of the triangle △MNP over the y-axis to the form △M`N`P'.

It is observed that every point of the triangle MNP is at the same distance from the y-axis as every point of the triangle M'N'P'.

Therefore, figure number four in the image shows △MNP reflected over the y-axis to form △M`N`P`. The correct option is D.

To know more about the reflection of an image follow

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Answer:

120

Step-by-step explanation:

Your description is a little different from below picture, but the logic is the same. The 1 in the tens position represents 10x12 = 120, hence 120 should be subtracted and leaves you with 67 to continue.

Answer:

187

Step-by-step explanation:

12 in not the divisor of 8587 in the dividend with 7 hundreds and 1 tens. 8400 you subtracted from 8587 to give 187.

Answer: A. The price of the soap increases by $0.20, on average, when the thickness increases by 1 cm

Step-by-step explanation:

Given the following :

Regression equation : ŷ = 0.4 + 0.2x

Price is the response variable (ŷ)

Thickness is the explanatory variable (x)

Relating the equation given to the regression model:

ŷ = c + mx

Here c = intercept ; y = response variable ;x = explanatory variable and m = slope or gradient.

Hence, mx = 0.2x

Where m = 0.2

The slope means :

Change in y / change in x

Changes in the response variable with respect to change in the explanatory variable.

The slope is positive meaning an increase in the thickness will result in a corresponding increase in price.

With a 0.2 gradient value, that means there is an $0.2 average increase in price of soap as the thickness increases by 1 cm.

Answer:

The price of the soap increases by $0.20, on average, when the thickness increases by 1 cm.

Step-by-step explanation:

Answer:

It might be 168 centimetres

Step-by-step explanation:

Answer:

Forecasted earning = $160,200

Tax rate = 27.84%

Step-by-step explanation:

The calculation of forecasted earning and tax rate is shown below:-

Earnings before income and taxes = Sales - Cost of goods sold - Depreciation Expense

= $1,362,000 - $830,000 - $310,000

= $222,000

So,

Forecasted Free cash flow = Net Income + Depreciation  

$470,200 = Net Income + $310,000

Net Income = $470,200 - $310,000

= $160,200

Now, the Tax rate is

Net Income = EBIT × (1 - Tax Rate)

$160,200 = $222,000 × (1 - Tax rate)

(1 - Tax rate) = $160,200 ÷ $222,000

(1 - Tax rate) = 0.721622

Tax rate = 27.84%

Answer:

6w + 18z

Step-by-step explanation:

distribute the 2

2 x 3w = 6w

2 x 9z = 18 z

6w + 18z

Answer:

6w+18z

Step-by-step explanation:

Answer:

10/3

Step-by-step explanation:

Step 1: Subtract 4 from both sides.

3

x

+

4

−

4

=

14

−

4

3

x

=

10

Step 2: Divide both sides by 3.

3

x

3

=

10

3

Answer:

C

Step-by-step explanation:

In the pattern, there are some similarities with the first three circles.

1. The number is on the blue half.

2. The halves switch spots, red-blue, blue-red, red-blue.

So, the next one should have the number on the blue half and the next pattern should be red-blue, blue-red, red-blue, and blue-red.

Which one has both the number on the blue half and the pattern blue-red?

C

Hoped this helped.

Answer:

2 1/3

Step-by-step explanation:

i know because i did the test in k 12

An absolute value of |x| {modulus of x} is the value of a real number x. The absolute value of ||2 1/3|| is 2 1/3.

An absolute value of |x| {modulus of x} is the value of a real number x, the value we get is always a non-negative number, for example, |-5| will give 5, and also, |5| will give 5 as well.

The absolute value of ||2 1/3|| is,

||2 1/3||

= |2 1/3|

= 2 1/3

Hence, The absolute value of ||2 1/3|| is 2 1/3.

Learn more about Absolute value here:

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Answer:

5800-1160=4640

1160×100÷4640=25

=25%

Answer:

[tex]\approx \bold{602\ m}[/tex]

Step-by-step explanation:

Given the following dimensions:

XY=966 ​m

[tex]\angle XYZ[/tex]​ = 38°24', and

[tex]\angle YZX[/tex] = 94°6'

To find:

Distance between points X and Z.

Solution:

Let us plot the given values.

We can clearly see that it forms a triangle when we join the points X to Y, Y to Z and Z to X.

The [tex]\triangle XYZ[/tex] has following dimensions:

XY=966 ​m

[tex]\angle XYZ[/tex]​ = 38°24', and

[tex]\angle YZX[/tex] = 94°6'

in which we have to find the side XZ.

Kindly refer to the image attached.

Let us use the Sine rule here:

As per Sine Rule:

[tex]\dfrac{a}{sinA} = \dfrac{b}{sinB} = \dfrac{c}{sinC}[/tex]

Where  

a is the side opposite to [tex]\angle A[/tex]

b is the side opposite to [tex]\angle B[/tex]

c is the side opposite to [tex]\angle C[/tex]

[tex]\dfrac{XZ}{sin\angle Y} = \dfrac{XY}{sin\angle Z}\\\Rightarrow \dfrac{966}{sin94^\circ6'} = \dfrac{XZ}{sin38^\circ24'}\\\Rightarrow XZ=\dfrac{966}{sin94^\circ6'} \times sin38^\circ24'\\\Rightarrow XZ=\dfrac{966}{0.997} \times 0.621\\\Rightarrow XZ=601.69 \m \approx \bold{602\ m}[/tex]

Answer:

yes

Step-by-step explanation:

this is correct because if you multipy them both by 4 you get those answers .

4 x 4 = 16

5 x 4 = 20

The ratios 4:5 and 16:20 are equivalent to each other. Yes, the ratios are equal to 4: 5.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

The equivalent is the expression that is in different forms but is equal to the same value.

The two ratios are given below.

4:5 and 16:20

Convert the ratios into their simplified form. Then the ratios are given as,

4:5 and 16:20

4:5 and 4:5

The ratios 4:5 and 16:20 are equivalent to each other. Yes, the ratios are equal to 4: 5.

More about the ratio and the proportion link is given below.

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Answer:

Step-by-step explanation:

Since the function is a linear function

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

From the question the equation is

y = 4x + 6

Comparing with the general form of equation above the slope of the function is

Hope this helps you

Data

6,9,5,0,5,3,7,5,2,7,10,2,9,8,0,6,2,6,6,3,6,9,7,7,4,1,6,8

Answer:

(a) shown in the attachment

(b) 0.54

(c) 5.32

(a) The frequency distribution table has been added to this response.

The table contains four columns:

First column (x): The discrete values of the marks

Second column (f): The corresponding frequency of the marks

Third column (d) : The difference between each mark(x) and the assumed mean(A). i.e d = x - A (Where A = 6 from the question)

Fourth column (fd): The product of the first column and the third column. i.e f * d

(b) From the table, it can be deduced that the modal score is 6

This is because the score 6 has the highest number of frequency which is 6

(c) If a student is selected at random, the probability P(>5), that the student scored more than 5 is given as follows;

P( >5 ) = [The sum of frequencies of marks greater than 5] / [Total frequency]

P( >5 ) = [6 + 4 + 2 + 3 + 1] / [28]

P( >5 ) = 15 / 28 = 0.54

Therefore, the probability that the student scored more than 5 is 0.54

(d) To get the arithmetic mean, M, from the assumed mean A = 6, we use the following relation;

M = A + [∑fd / N]           -----------(*)

Where

N = total frequency = 28

A = 6

∑fd = sum of the items on the fourth column = -19

Substitute these values into equation (*)

M = 6 + [-19 / 28]

M = 149 / 28

M = 5.32

Therefore, the arithmetic mean is 5.32

Answer:

Pythagoras

Step-by-step explanation:

Pythagoras

Answer:

1.02×10¹ = 10.2

Step-by-step explanation:

We have given a number in scientific notation as follows 1.02×10¹

We need to convert it into standard notation.

1 is in ones place, 0 is in tenths place and 2 is in hundredths place.

[tex]1.02\times 10^1=\dfrac{102}{100}\times 10\\\\=\dfrac{102}{10}\\\\=10.2[/tex]

So, the standard notation of 1.02×10¹ is 10.2

Answer:

Step-by-step explanation: 2y+18 = y+39

y=21

Answer:

y = 21

Step-by-step explanation:

In the figure , 2y + 18 and y + 39 are opposite interior angles . We know that opposite interior angles are equal , so

2y + 18 = y + 39

=> 2y - y = 39 - 18

=> y = 21

Answer:  The answer is:  " x = 2.833333333333...." .

___________________________

             or:  write as:  " 2 [tex]\frac{5}{6}[/tex] " .  

___________________________

Step-by-step explanation:

___________________________

Set up a ratio:

Note:  Segment FH =  (x + 35)

         Segment JL = 20 ;

         Segment FH ~ Segment JL ;

___________________________

Note:  Segment GH = (x - 4) ;

         Segment  KL  =  5 ;

         Segment GH ~ Segment KL .

___________________________

So, ( x + 3.5) : 20 :: (x-4) : 5 ;

Write this ratio in fraction format:

___________________________

→  [tex]\frac{(x+3.5) }{20 } = \frac{(x-4) }{5}[/tex]  ;

Now; "cross-factor multiply" :

→  [tex]\frac{a}{b} = \frac{c}{d }[/tex]  ;  → [tex]ad = bc[/tex] ; { [tex]{ a\neq0 ; b\neq0 ; c\neq0 ; d\neq0[/tex] .}.

___________________________

So:

  5(x + 3.5)  =  20(x - 4) ;  

___________________________

→ To simplify, start by divide each side of the equation by "5" ;

___________________________

  →   {5(x + 3.5) } / 5  =  { 20(x - 4)  } / 5 ;

to get:

      →  (x + 3.5)  =  4(x - 4) ;

___________________________

Now, on the right-hand side of the equation;

  let us expand the expression;

___________________________

We have the expression:  " 4(x - 4) " ;

 To expand:

Note the "distributive property of multiplication:

     →   a(b + c)  = ab + ac ;

Likewise:

     →   4(x - 4)  = 4x  - 16 ;

___________________________

Now, we can rewrite our equation:

___________________________

     →   " x + 3.5  =  4x - 15 "  ;

Now, we can subtract "x" from each side of the question;

     & add "15" to each side of the equation; as folllows:

___________________________

     →     x + 3.5  =  4x - 15 ;

          - x + 15   =  - x  +15

___________________________

to get:        8.5  =  3x ;  

                   ↔  3x  = 8.5 ;

Now, divide each side of the equation by "3" ;

       to isolate "x" on one side of the equation;

       & to solve for "x" ;  as follows:

                     →  3x / 3 = 8.5 / 3 ;

             to get:   x  = 8.5 /3  

                              = 2.83333333333 ;  

                         or; write as:  " 2 [tex]\frac{5}{6}[/tex] ."

___________________________

Hope this is helpful to you!  Best wishes!

___________________________

Answer:

There is no sufficient evidence to support the executive claim

Step-by-step explanation:

From the question we are told that

     The  population proportion is  [tex]p = 0.48[/tex]

      The  sample proportion is  [tex]\r p = 0.45[/tex]

       The sample  size is  [tex]n = 300[/tex]

       The  level of significance is [tex]\alpha = 0.02[/tex]

The null hypothesis is  [tex]H_o : p= 0.48[/tex]

The  alternative hypothesis is  [tex]H_a : p \ne 0.48[/tex]

   Generally the test statistics is mathematically evaluated as

           [tex]t = \frac{\r p - p }{ \sqrt{ \frac{p(1 - p )}{n} } }[/tex]

=>        [tex]t = \frac{0.45 - 0.48 }{ \sqrt{ \frac{0.48 (1 - 0.48 )}{300} } }[/tex]

=>       [tex]t = -1.04[/tex]

The  p-value is mathematically represented as

     [tex]p-value = 2P(z > |-1.04|)[/tex]

Form the z-table  

                 [tex]P(z > |-1.04|) = 0.15[/tex]

=>   [tex]p-value = 2 * 0.15[/tex]

=>   [tex]p-value = 0.3[/tex]

Given that  [tex]p-value > \alpha[/tex]  we fail to reject the null hypothesis

   Hence we can conclude that there is no sufficient evidence to support the executive claim

Cross multiply the numbers in the matrix:

1 *2 + 5*x = -13

Simplify:

2 + 5x = -13

Subtract 2 from both sides:

5x = -15

Divide both sides by 5

X = -15/5

X = -3

Because it’s absolute value it needs to be positive so x = 3

Answer:

  x ≠ -2 or 3

Step-by-step explanation:

No denominator can be zero, so ...

  x +2 ≠ 0

  x ≠ -2

__

  x -3 ≠ 0

  x ≠ 3

__

  g(x) ≠ 0 . . . . . true for all x; no restriction needed for this

__

The appropriate restrictions are x ∉ { -2, 3 }.

Answer:

12

Step-by-step explanation:

The formula for RANGE of a given set if data = Maximum value - Minimum value.

In the above question, we are given a group of ACT scores

21, 22, 23, 25, 26, 33.

Maximum value = 33

Minimum value = 21

Range = 33 - 21

= 12

Therefore, the range for this distribution of scores is 12