5. Rachel typed 48 words in 3/4 minute. What is her typing speed in words per minute?

FOR PERPENDICULAR LINES WHEN THEIR GRADIENTS ARE MULTIPLIED THEY GIVE -1

BUT IF WE ARE TO CHECK IN THE LJNE y=1 the gradient is 0

there is no number when multiplied with 0 that will give us -1 it means that the gradient of the line perpendicular to the given one will also be 0

when we substitute in the general equation y=mx+c together with the points

[tex] - 9 = (0)(4) + c \\ c = - 9[/tex]

IT MEANS THE EQUATION OF THE NEW EQUATION WILL BE

[tex]y = - 9[/tex]

HOPE THIS HELPS

[tex]{\Large \begin{array}{llll} i^4=1 \end{array}} \\\\[-0.35em] ~\dotfill\\\\ -i^{32}\implies -i^{4\cdot 8}\implies -(i^4)^8\implies -(1)^8\implies \text{\LARGE -1}[/tex]

Answer:

Hopt: 10 Gesplil; 6

Step-by-step explanation:

Volume of the rectangular prism = 1,728 in³

Volume of the rectangular prism = width × height × length

width = 12 in

length = 18 in

height = 8 in

Volume of the rectangular prism = 12 in × 8 in × 18 in

Volume of the rectangular prism = 1,728 in³

Conversion factor [tex]= \frac{final serving}{initialserving}[/tex][tex]=\frac{5}{2} =2.5[/tex]

The recipe conversion factor is 2.5

There will be 15724800 computer passwords possible with 1 letter followed by 7 digits without any repetition of letters or digits.

It is given to us that -

A computer password is required to be 8 characters long

The computer password requires 1 letter(s) followed by 7 digits

The 7 digits are from numbers 0-9.

It is also mentioned that there will be no repetition of any letter or digit

We know that,

The total number of English alphabets = 26 (from a-z)

The total number of digits = 10 (from 0-9)

Since it is given that the computer password has

1 letter followed by 7 digits without any repetition of any letters or digits

So, the number of computer passwords that are possible can be -

[tex]26*10*9*8*7*6*5*4\\= 15724800[/tex]  (1 letter and 7 digits with no repetition)

Thus, 15724800 computer passwords are possible that contains 1 letter followed by 7 digits where no repetition of any letter or digit is allowed.

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ANSWER:

  4x-1=27

or,4x=27+1

or, x=28/4

or, x=7

Explanation:

Let's replace p with something like 0.72

Pick any number between 0 and 1.

This says he has a 72% chance to win

1-p = 1-0.72 = 0.28

and he has a 28% chance of not winning.

For more information, check out "probability complement".

Answer:

175.259 cm

Step-by-step explanation:

Answer: B: 10

Step-by-step explanation:

complementary angles are two angles that add up to 90 degrees

Answer:

The number is 9

Step-by-step explanation:

6n + 11 = 9n -16  Subtract 6n from both sides of the equation

11 = 3x -16  Add 16 to both sides of the equation

27 = 3n   Divide both sides of the equation by 3

9 = n

The correct answer is:  [D]:  " [tex]m = \frac{-5}{2}[/tex]  ".

______
Step-by-step explanation:
We are given:
" 5x  +  2y  =  -10 " ; Find the slope of the equation.
______
Rewrite this equation in slope-intercept format ;

that is:  " y =  mx  + b " ;

      in which:  
        y  remains as single value, as an 'output' ; or 'dependent  
variable', on the 'y-axis' (if graphed);
         isolated on the 'left-hand side' of the equation.
      m  is the coefficient of x in the equation; and represents the slope; for which we shall solve.
           {If there is no slope, then "m = 0" ; and "[0 * x = 0]." };
And the "slope-intercept format" is:  "y = b" }.
       b  represents the "y-intercept" ; i.e. when the line crosses the
"y-axis" when graphed;  that is, the "y-value" of the "coordinate" of the "y-intercept" ; [i.e. the value of "y" when "x = 0" ;  so;  " (0, b) ".

{ Note:  b  can equal "0" ; in those cases:  y = mx + 0 ; write as " y = mx "}.

{ If there is no slope, [i.e. "m = 0" ; and no "y-intercept" ;  [i.e. "b = 0"];
 Then:  write the equation accordingly—e.g. " y = [whatever number the graph represents]." }.

 Also, note that b can be a "negative number"; as well.
  In that case,  write an equation in "slope-intercept format" ; that is;  
   →" y = mx + b " ;   as:   " y = mx " .     
______
Given:  " 5x  +  2y  =  -10 " ;  
 Let's rewrite:    ↔  " 2y + 5x  =  -10 " ;  to get the "y-value" a bit closer to the 'left-hand side' of the equation.

  Then: Let's subtract 5x from Each Side of the equation;
      2y + 5x − 5x  = -10 − 5x  ;

 to get:  " 2y =  -10 − 5x " ;

______
Method 1):
  We have: " 2y = -10 − 5x " ;

 Divide Each Side by 2 ; to isolate y on the 'left-hand side' of the equation, and to rewrite as an equation in the slope-intercept format :

  2y / 2 = (-10 − 5x)/2 ;

   →  [tex]y =\frac{-10-5x}{2}= \frac{-10}{2}-\frac{5x}{2}[/tex] ;
              →    [tex]\frac{-10}{2} =[/tex] -10 ÷ 2  = -5 ;

                   Rewrite the equation by replacing " [tex]\frac{-10}{2}[/tex] " ;  with:  -5 ;
              →  [tex]y = -5 - \frac{5x}{2}[/tex] ;

             Then, rewrite to get the equation in "slope-intercept format"

              →  [tex]y = -5 - \frac{5x}{2}[/tex] ;
                     [tex]= -5 + (-\frac{5x}{2})[/tex] ;  ↔ Rewrite:
                     [tex]= \frac{-5x}{2} + (-5)[/tex] ;   ↔ Rewrite again:
                     [tex]=\frac{-5x}{2} -5[/tex] ;

             →   [tex]y = \frac{-5x}{2} -5[/tex] .

Note:  " [tex]\frac{-5x}{2} = \frac{-5}{2} x[/tex] " ;

            →   [tex]y = \frac{-5}{2}x-5[/tex] ;

 This is the equation written in "slope-intercept format" ;

 that is:  " y = mx + b " ;

  in which:
 y is isolated as a single variable on the 'left-hand side' of the equation;

 m = [tex]\frac{-5}{2}[/tex] ; which is the slope; which is also the "coefficient" of x ;

 b = -5 ; which is the 'y-coordinate' of the "y-intercept" of the graph;
So, the slope; "m = -5/2" ; is the correct answer; which corresponds to:
Answer choice:  [D]: " m = [tex]\frac{-5}{2}[/tex]  " .
______

Method 2):

Given:  " 5x + 2y = -10" ; Find the slope of the line.

We want to rewrite the equation in the "slope-intercept format" ;

" y = mx + b " ; as explained above;

  to get the correct answer for m, the slope of the line.

" 5x + 2y = -10 " ↔ Rewrite as:
  2y + 5x =  -10 ;  since we want to isolate y as a single variable on the 'left-hand side' of the equation;  and by rearranging & rewriting this equation, the 2y is closer to the 'left' of the equation.

Now, subtract 5x from Each Side of the equation:
  2y + 5x − 5x = -10 − 5x ;
  to get:  2y = -10 − 5x ;

Now, Let's multiply the entire equation (i.e. "Each Side") by  -1 ;

to make the equation easier to handle;
    -1(2y) = -1 (-10 − 5x) ;
For the 'left-hand side' of the equation:
 -1*2y = -2y
For the 'right-hand side' of the equation:

Note the 'distributive property of multiplication'; as follows:
    a(b + c) = ab + ac ;
Likewise:  
-1(-10 − 5x) = (-1 *-10) + (-1 *-5x) ;

                 =  (10) + (5x) = 10 + 5x ;

Now, rewrite the entire equation:

-2y = 10 + 5x ;  ↔ Rewrite as;
   -2y = 5x + 10 ;  
Then, we divide Each Side of the equation by -2 ;
  to isolate y as a "single variable" on the 'left-hand side' of the equation;

   and to rewrite the equation in "slope-intercept format" ;

    -2y / -2 = (5x + 10) /-2 ;

    →  [tex]y=\frac{5x+10}{-2} =\frac{5x}{-2} +\frac{10}{-2} =\frac{5x}{-2}+(-5) =\frac{5x}{-2}-5[/tex] ;
    → [tex]y=\frac{5x}{-2} - 5[/tex] ;
which is written in "slope-intercept format" ; that is:
 " y = mx + b " ;

in which:  

y is isolated as a single variable on the 'left-hand side' of the equation;

m = [tex]\frac{5}{-2}[/tex] ; which does equal  " [tex]-\frac{5}{2}[/tex] " ;  which does equal " [tex]\frac{-5}{2}[/tex] " ;

which is the slope of the equation, as well as the 'coefficent of x' ;

b = -5 ; which is the 'y-coordinate' of the "y-intercept".
______
As such:  
The correct answer choice is:  [D]: " m = [tex]\frac{-5}{2}[/tex] " .
{Note: This is consistent with the answer choice from Method 1  above.}

______
Hope this answer and explanation is helpful.
Best of luck to you!
______

The value of x after solving the equation 3sinx+3 = 1 for 0° is -46.455.

First, take the equation 3sinx+3 = 1. This is a first order linear equation with a single variable, x. To solve this equation find the value of x.

First subtract three from both LHS and RHS part. The equation becomes

3sinx+3-3 = 1-3,

which is equal to,

3sinx = -2. now divide both LHS and RHS by 3 and the equation becomes, (3sinx)÷3 = -2÷3 solving this we get the equation as sinx = -2÷3.

now take the sine to the LHS we get the equation as,

x = [tex]sin^{-1}[/tex](-2÷3)

so by solving this, the final answer for x is,

x = -46.455

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Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.

The value of t exists [tex]$t=-\frac{\ln \left(\frac{12781}{6}\right)}{12 \ln \left(\frac{12.038}{12}\right)}$$[/tex].

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. Expressions have the following structure: (Number/variable, Math Operator, Number/variable).

Given: [tex]$275000=\frac{3001-\left(1+\frac{0.038}{12}\right)^{(-12 t)}}{\left(\frac{0.038}{12}\right)}$$[/tex]

Multiply both sides by 0.038 / 12, we get

[tex]$275000 \cdot \frac{0.038}{12}=\frac{3001-\left(1+\frac{0.038}{12}\right)^{-12 t}}{\frac{0.038}{12}} \cdot \frac{0.038}{12}$$[/tex]

Simplifying the above equation, we get

[tex]$\frac{5225}{6}=3001-\left(1+\frac{0.038}{12}\right)^{-12 t}$$[/tex]

Add [tex]$\left(1+\frac{0.038}{12}\right)^{-12 t}$[/tex] to both sides

[tex]$\frac{5225}{6}+\left(1+\frac{0.038}{12}\right)^{-12 t}=3001-\left(1+\frac{0.038}{12}\right)^{-12 t}+\left(1+\frac{0.038}{12}\right)^{-12 t}$$[/tex]

Simplifying the above equation, we get

[tex]$\frac{5225}{6}+\left(1+\frac{0.038}{12}\right)^{-12 t}=3001$$[/tex]

Subtract 5225 / 6 from both sides

[tex]$\frac{5225}{6}+\left(1+\frac{0.038}{12}\right)^{-12 t}-\frac{5225}{6}=3001-\frac{5225}{6}$$[/tex]

Simplify

[tex]$\left(1+\frac{0.038}{12}\right)^{-12 t}=\frac{12781}{6}$$[/tex]

By using exponent rules, we get

[tex]$-12 t \ln \left(1+\frac{0.038}{12}\right)=\ln \left(\frac{12781}{6}\right)$$[/tex]

Solve [tex]$-12 t \ln \left(1+\frac{0.038}{12}\right)=\ln \left(\frac{12781}{6}\right): \quad t=-\frac{\ln \left(\frac{12781}{6}\right)}{12 \ln \left(\frac{12.038}{12}\right)}$[/tex]

[tex]$t=-\frac{\ln \left(\frac{12781}{6}\right)}{12 \ln \left(\frac{12.038}{12}\right)}$$[/tex]

Therefore, the value of t exists [tex]$t=-\frac{\ln \left(\frac{12781}{6}\right)}{12 \ln \left(\frac{12.038}{12}\right)}$$[/tex].

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The study of the correlations between triangles' side lengths and angles is known as trigonometry. x= 0.11

The study of the correlations between triangles' side lengths and angles is known as trigonometry. The field was created in Hellenistic era in the third century BC as a result of the use of geometry in astronomical research. While Indian mathematicians produced the earliest tables of values for trigonometric ratios (also known as trigonometric functions), such as sine, the Greeks concentrated on chord calculation.

Trigonometry has been used historically in the fields like geodesy, surveying, celestial mechanics, and navigation.

Trigonometry has a wide variety of identities. In order to simplify an expression, identify a more practical version of an expression, or solve an equation, trigonometric identities are frequently employed to rewrite trigonometrical expressions.

xsin45º. cos45°. tan60° = tan² 45° - cos²60⁰​

x0.7*0.70*1.73 =1*1-0.5*0.5

x = [tex]\frac{0.7*0.70*1.73}{1*1 - 0.5*0.5}[/tex] = 0.11

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The equation that can be used to express the relationship between total cost and tickets is t = $2.91n.

The first step is to determine the cost of one ticket. The cost of one ticket can be determined by dividing the total cost of the ticket by the total number of tickets. Division is the operation that is used to determine the quotient of two or more numbers.

Cost of one ticket = $34.92 / 12 = $2.91

The equation that can be used to determine the total cost would have this form:

Total cost = cost per ticket x number of tickets

t = $2.91 x n

t = $2.91n

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Answer:

y=1x-5

Step-by-step explanation:

Use rise/run

Answer:

[tex]y=x-5[/tex]

Step-by-step explanation:

Just look at the slope and the y-intercept.

The y-intercept is b, and it's -5. The slope is 1, so it is x.

The value of the expression given as (9x-26) (4x+43) (2x-12) is 72x³ + 134x²  -5642x + 13416

From the question, the expression is given as

(9x-26) (4x+43) (2x-12)

Next, we evaluate the expression in pairs

So, we have

(9x-26) (4x+43) (2x-12) = (9x-26) (4x+43) (2x-12)

Evaluate the first two factors

So, we have

(9x-26) (4x+43) (2x-12) = (36x² + 387x - 104x  - 1118) (2x-12)

Evaluate the like terms in the expression

So, we have

(9x-26) (4x+43) (2x-12) = (36x² + 283x  - 1118) (2x-12)

Evaluate the first two factors

So, we have

(9x-26) (4x+43) (2x-12) = (72x³ - 432x² + 566x² - 3396x  - 2246x + 13416)

Evaluate the like terms

So, we have

(9x-26) (4x+43) (2x-12) = (72x³ + 134x²  -5642x + 13416)

Remove the bracket

(9x-26) (4x+43) (2x-12) = 72x³ + 134x²  -5642x + 13416

Hence, the solution is 72x³ + 134x²  -5642x + 13416

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Answer: I think it’s t{(-3,2).(5.5).(3.3).(3.-2)}

Step-by-step explanation:

Eyesight is key m’lady

The first graph represents the same relation as the set {(-3,2).(5.5).(3.3).(3.-2)}

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given relation is {(-3,2).(5.5).(3.3).(3.-2)}

We have to find the graph which represents the relation of the set

A binary relation on a set may, or may not, hold between two given set members.

The first number in the ordered pair represents the x coordiantes

The second number in the ordered pair represents the y coordiantes

When we match the ordered pairs with the given graphs

The first graph matches with the given relation

Hence, the first graph represents the same relation as the set {(-3,2).(5.5).(3.3).(3.-2)}

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Answer:

v=60

Step-by-step explanation:

3v=180

v=60

:]

Answer: they should be 2cm apart

Step-by-step explanation: This means that 1 cm on the map represents an actual distance of 50 000 cm (or 500 m or 0.5 km). We saw above that if a map has a scale of 1 : 50000, then 1 cm on the map is 50000 cm in real life.

The fraction expression given as  -1/3-4/5  is a negative number

The fraction expression is given as

-1/3 - 4/5

From the above expression, we observe that:

The sum of two negative numbers will result in another negative number

This means that the value of -1/3 - 4/5 is a negative expression

Solving further, we have:

-1/3 - 4/5

Evaluate the expression

-1/3 - 4/5 = -17/15

See that 17/15 is negative

Hence, -1/3 - 4/5 is negative

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Answer:

x = 8.3

Step-by-step explanation:

We look at the final place of the decimal to round, in this case the thousandths place (underlined)

8.27

If the final place of the decimal is greater than or equal to 5, we round up the decimal to the left, otherwise we round down.

Because 7 > 5, round 2 up to 3, therefore giving 8.3

Answer:

Your answer is 8.3!

Step-by-step explanation:

Step 1: Locate and underline the tenths place (2) then look at the digit to the right (7):

8.27

Step 2: In this case, the digit to the right (7) is 5 or above. So, we add 1 to the tenth place (2). The digit(s) after the (2) are replaced by zeros (or dropped). Thus, we get 8.3 as the answer.

In short: 8.27 rounded to the nearest tenth is 8.3.

The four sided shape that has two parallel sides: can be cut into two triangles with a diagonal line through opposite corners is a parallelogram.

A parallelogram is a simple quadrilateral with two pairs of parallel sides in Euclidean geometry. A parallelogram's opposite or facing sides are of equal length, and its opposite angles are of equal measure.

The parallelogram is divided into two congruent triangles by each diagonal. The total of the squares of a parallelogram's sides equals the sum of the squares of its diagonals. It is also known as parallelogram law.

A parallelogram is a two-dimensional geometrical shape with two parallel sides. It is a four-sided polygon (sometimes known as a quadrilateral) with parallel sides that are equal in length. The sum of a parallelogram's neighboring angles equals 180 degrees.

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Answer:

stuff and more stuff

Step-by-step explanation:

In order to calculate after how many days all three food items will be eaten in the same day, we need to calculate the least common multiple (LCM) between the periods of 6 days, 8 days and 10 days.

First, let's factorize each number:

Then, let's multiply the factors using the maximum number of time they appear in a number, that is, number 2 three times, number 3 one time and number 5 one time:

So after 120 days all three food items will be eaten on the same day.

Let's first write both numbers in their fraction form:

then, we can write the division like this:

Now, given the general rule for the division of fractions, we have:

also notice that we are dividing two negative numbers, then our final result will be positive according to the law of signs. Then, we have in this case:

therefore the final result is 360

The correct option is- Percent = 75, Amount = 45, Base = 60 for the movement of the progress bar.

For the given question,

The movement of the progress bar could be uneven due to questions can be worth more or less (including zero) due-

The amount of something is stated in terms of a fraction of a hundred. The ratio can be expressed as a fraction of 100.

Base = 60 and the Amount is the 45.

Let the % will be x;

x% of 60 =45

60x =45

x=45/60

x=0.75

To obtain the percentage value, multiply it by 100 as follows:

% x = 0.75 × 100

% x = 75

Thus, the percentage of 60 is 45 will become 75%.

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The slope of the line in the graph is undefined.

The line in the graph is a straight vertical line whose slope can be found.

The characteristics of a vertical line can be used to find the slope of the vertical line given.

A vertical line has same x-co-ordinate but will have different y-co-ordinates.

Slope of a line is the change in y-co-ordinates divided by change in x-co-ordinates.

That is, slope = change in y-co-ordinates/ change in y-co-ordinates

But here, change in x-co-ordinates is zero since the x-co-ordinates are same for the vertical line given in the graph.

So slope = change in y-co-ordinates/ 0

This is undefined.

So the slope of the line in the graph is undefined.

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