when finding 6.1 divided by 0.1 how is the decimal point moved?

Answer:

Below

Step-by-step explanation:

a^2 + b^2 = c^2       subtract  a^2 from both sides

b^2 =  c^2 - a^2    

   take the positive sqrt of both sides ( since you can't have a negative length)

b = sqrt (c^2 - a^2)    

Point ( 0 , -27 ) on the line and  ( -9 , 0 ) are not on the line

Given :

Madison is reeling in her string at a steady rate the linear equation 3y - 9x = -81 can be used to find y the number of feet of kite string she still needs to reel in after x seconds .

Points ( 0 , -27 )

when x = 0

3y - 9 * 0 = -81

3y - 0 = -81

3y = -81

y = -81 / 3

y = -27

so point ( 0 , -27 ) on the line .

when y = 0

3 * 0 - 9x = -81

0 - 9x = -81

-9x = -81

x = 81/9

x = 9

so ( -9 , 0 ) are not on the line

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Answer:

[tex]y=\frac{1}{2} x-2[/tex]

The required solution of the given expression is 1/3 [m²-2m-6].

Given that,
To simplify the [2m⁵ -5m₄ +2m² -8m²]/[m²+1], when  m² + 1 = 3m.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
= [2m⁵ -5m₄ +2m² -8m²]/[m²+1]
When substituting the value m² + 1 = 3m in the above expression we get.
= m/3 [m²-2m-6]

Thus, the required solution of the given expression is 1/3 [m²-2m-6].

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The inequality shown by the graph in the question, found by finding the equation for the line of the inequality and taking note of the dashed line and the shaded region, is; y > 2·x - 4

An equality is a comparison between two expressions that have different values,  by joining them with the use of symbols including '<', '≤', '≥', '>', '≠'

Two points on the graph that can be used to find the equation of the line of the inequality are;

The slope, m, of the line found from the above two  points on the  line is therefore;

m = (0 - 4)/(2 - 4) = 2

The equation of the line in point-slope form is therefore;

y -  0 = 2·(x - 2) = 2·x - 4

The  equation of the line of the inequality is therefore;

y = 2·x - 4

The dashed line and the shaded region indicates that we get;

y > 2·x - 4

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Answer:

m=-6

Step-by-step explanation:

use slope formula to solve

m= rise/run=y2-y1/x2-x1

Answer:

NO=6

Step-by-step explanation:

If MP=16 and NP=13 that means MN=3 and MO=9 so that makes NO=6

The profit won by Hahid is 28 rupees

Profit is the term used to describe the financial gain experienced when the revenue from a business activity outweighs the costs, costs, and taxes incurred to maintain the activity in question.

There are three main measures of profit. These are gross profit, operating profit and net profit.

According to given question:-

The total amount with which Hahid bought the bananas are

(5/4)*80=100

The total amount with which Hahid sold the bananas are

(8/5)*80=128

The profit got by Hahid is 128-100=28

Hence the solution is 28

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The domain the function is In interval notation [7,  ∞). The range of the function is in the interval  (-1, ∞).

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). A "vertical line test" can be used when examining a graph to determine whether a relation is a function. The relation is not a function if any point on the graph can be used to draw a vertical line that crosses the relation twice.

Here,

y=√(x-7)-1

x-7≥0

x≥7

at x=7

y=√(7-7)-1

y=-1

The function's domain is represented by the interval notation [7, ∞). The function's range falls within the range [-1, ∞).

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The total distance travelled by the particle is 24 units.

What is displacement?

Displacement is defined as a change in an object's position. An object's displacement is defined as how far it has moved from its starting point. The dependent variable in the displacement time graph is displacement, which is represented on the y-axis, and the independent variable is time, which is represented on the x-axis. Position-time graphs are another name for displacement time graphs.

The displacement curve is given for 0 ≤ t ≤ 18.

We need to find the total distance of the curve, it will be the positive sum of all displacements.

So, total distance = (7-0) + (3-0) + (2+3) + (2+4) + (7-4)

                             = 7 + 3 + 5 + 6 + 3

                             = 24

Hence, the total distance is 24 units.

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On average, it is going to take DJ 7.27 hours to get to the beach.

Average refers to the quotient when a numerator is divided by a denominator.

In this situation, the average refers to the time, which is the quotient of the distance and speed.

The total distance going to the beach from his family = 800 km

The average speed = 110 km/hr

The time to cover the distance of 800 km at 110 km/hr = 7.27 hours (800/110).

Thus, DJ will take 7.27 hours to cover 800 km at 110 km/hr.

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If the parlor sold 389389 tattoos and 4343 were arm tattoos, then the probability of next customer does not get an arm tattoos is 0.99

Total number of tattoos sold in this month = 389389 tattoos

Number of arm tattoos = 4343

Number of other tattoos = 389389 - 4343

= 385046

The probability = Number of favorable outcomes / Total number of outcomes

Substitute the values in the equation

The probability of next customer does not get an arm tattoos = 385046 / 389389

Divide the terms

= 0.99

Therefore, the probability of next customer does not get an arm tattoos is 0.99

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The value of the polynomial p(x) = -2x + 3x + 4 when x is 5 will be 9

A polynomial is an expression made up of variables, constants, and exponents that are combined using mathematical operations like addition, subtraction, multiplication, and division.

A polynomial is an expression made up of indeterminates and coefficients that only uses addition, subtraction, multiplication, and positive-integer powers of variables. x2 4x + 7 is an example of a polynomial with a single indeterminate x.

p(x) = -2x + 3x + 4

when x = 5

= -2x + 3x + 4

= -2(5) + 3(5) + 4

= -10 + 15 + 4

= 9

Note that the information you gave wasn't complete.

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The interest charged for 3 years would be $75 ($500 x 0.05 x 3). The total amount Ariane has to pay back would be $575 ($500 + $75).

Simple interest is calculated based on the principal of a loan or the initial deposit into a savings account. Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay interest on interest that has already accrued.

To calculate simple interest, multiply the principal sum by the time period, interest rate, and time period. Simple interest is calculated as follows: "Simple Interest = Principal x Interest Rate x Time." This equation provides the simplest method for calculating interest.

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The way Jason's position relative to the leader changed per minute is; 6²/₅ ft/minute

We are told that Jason's position was 11 ¹/₅ feet relative to the leader after 1 ³/₄minutes.

Now, the fractions are in mixed fraction form and so let us convert them to improper fractions to get;

⁵⁶/₅ and ⁷/₄

Thus, the way Jason's position relative to the leader changed per minute is; ⁵⁶/₅ ÷ ⁷/₄

= ⁵⁶/₅ * ⁴/₇

= 32/5

= 6²/₅ ft/minute

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Answer: the rectangle is 23 x 41

Step-by-step explanation:

x = length

2x - 5 =  width

A = length x width = (x)(2x-5) = 943

2[tex]x^{2}[/tex] - 5x - 943 = 0

use quadratic equation to solve for x:

a = 2, b = -5, c = -943

roots are 23, -20.5

x = 23 (length)

2x - 5 = 2(23) - 5 = 46 - 5 = 41 (width)

The amount of fruit juice(orange, grape, cherry) used in the punch is 14 cups. So, option D is correct.

A mixed fraction is one that is represented by both its remainder and quotient. Two is the quotient and one is the remainder in the mixed fraction 2/3, for instance.

You can write mixed numbers with or without the word "and," for example, 5 and 3/4 . The mixed number must have a valid fraction as its fractional component. A correct fraction, such as 37, has a numerator that is less than the denominator.

Given,

The amount of orange juice= 3 [tex]\frac{1}{3}[/tex] cups

The amount of grape juice=6 [tex]\frac{1}{2}[/tex] cups

The amount of cherry juice= 4 [tex]\frac{1}{8}[/tex] cups

The amount of club soda=1 [tex]\frac{1}{4}[/tex] cups

So, 3 [tex]\frac{1}{3}[/tex]+6 [tex]\frac{1}{2}[/tex] + 4 [tex]\frac{1}{8}[/tex]

=(10/3)+(13/2)+(33/8)

=(10/3)+(13/2)+(33/8)

=(80+156+99)/24

=335/24

=13.95

≈14 cups approximately

Therefore, the amount of fruit juice(orange, grape, cherry) used in the punch is 14 cups.

So, option D is correct.

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Answer: As Devansh Sehta has calculated, there are 82 terms and  82=7×11+5.  When each term of  S  is divided by 7, the remainders, in order are 6, 3, 0, 4, 1, 5, 2, and these repeat.

Step-by-step explanation:

For any arithmetic sequence, record the remainders when successive terms are divided by n. Then the sum of every set of n consecutive remainders is divisible by 7. In this case, the first 77 terms add to a multiple of 7 as do the 5 remaining terms.

The speed of boat is 14 miles per hour and the speed of current 35 mile per hour

Speed:

The general formula to calculate the speed is written as

Speed = Distance/Time

Given,

A boat travel 42 mile uptream in 3 hour looking for a lot diver. It then travel downstream 70 mile in 2 hour.

Here we need to find the speed of boat and the speed of current.

While we looking into the given question, we have identified the following values,

Distance = 42 mile

time = 3 hour

Then the speed is calculated as,

=> speed = 42/3

=> speed = 14 miles per hour

Similarly, for the current is

distance = 70 miles

time = 2 hour

Then the speed is calculated as,

=> speed = 70/2 = 35 miles per hour.

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The area of the semicircle table after it is cut in half  [tex]=\frac{9}{2}\pi[/tex] square units.

A semicircle is a 2 -D shape which is obtained by cutting a circle along with its diameter. a circle has 2 semicircles when it is cut along with its diameter.

The formula for finding the area of a semicircle is half of the area of a circle with the same radius.

area of semicircle = [tex]\frac{\pi r^{2} }{2}[/tex] square units

Given:

A table with a round top is cut in half so now its shape is a semicircle.

After it is cut, the edge along the wall is 6 ft means that the diameter of the semicircle is = 6 ft

Diameter = 6 ft

Radius = diameter / 2

Radius = 6/ 2

Radius = 3 ft

Therefore now we can calculate the area of the table after it is cut in half

Area of the semicircle table after it is cut in half =

[tex]=\frac{\pi r^{2} }{2} \\=\frac{\pi 3^{2} }{2} \\=\frac{9\pi }{2}\\= \frac{9}{2}\pi[/tex]

The area of the semicircle table after it is cut in half  [tex]=\frac{9}{2}\pi[/tex] square units.

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A table with a round top is cut in half so that it can be used against a wall. After it is cut, the edge along the wall is 6 feet. What is the area of the table after it is cut in half? Give your answer in terms of pi.

It can be seen that the radius and circumferance are not proportional.

        y = mx

        m = y/x

        [m] is called constant of proportionality.

Given is a graph as shown in the figure.

For the proportional relationship -

(25 - 18)/(4 - 3) should be equal to (38 - 25)/(6 - 4)

7/1 = 13/2

7/1 = 6.5

7 ≠ 6.5

Therefore, it can be seen that the radius and circumferance are not proportional.

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[tex]\angle R \cong \angle STV[/tex]: Alternate interior angles theorem

[tex]\angle TSV \cong \angle U[/tex]: Alternate interior angles theorem

[tex]\angle R \cong \angle TSV[/tex]: Transitive property of congruence

[tex]\angle R \cong \angle U[/tex]: Transitive property of congruence

Using the ti-83 plus/ti-84 plus calculator, the 25th percentile of x is equal to 47.25 with a mean of 48 and a standard deviation of 12, respectively.

A dataset's mean is calculated by dividing the sum of all values by the total number of values. The term "average" is frequently used to describe it because it is the most widely used central tendency metric.

calculation

a) µ =     48    

σ =     12    

n=    115    

X =    45    

Z =(X - µ )/(σ/√n)  =     (45-48)/(12/√115)=    -2.68

P(X<45) = P(Z<-2.68) =         0.0037

b) µ =     48.00    

σ =     12.00    

n=    115.00    

P(X ≤ x) =    0.2500    

z value at  0.25=    -0.674        (excel formula =NORMSINV(0.25))

z=(x-µ)/(σ/√n)        

X=z * σ/√n +µ= -0.674*12/√115+48=        47.25

Using the ti-83 plus/ti-84 plus calculator, the 25th percentile of x is equal to 47.25 with a mean of 48 and a standard deviation of 12, respectively.

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The fracion 12k⁸/4(k⁵)² expressed in its simplest form is the expression 3/k².

To simplify fraction, we need to factorise the denominator and numerator, and then look for common factors in the numerator and denominator and cancel.

Given the fraction;

12k⁸/4(k⁵)² = 3 × 4 × k⁸/k² × 4 × k⁸ {expressed to get a common factor}

12k⁸/4(k⁵)² = 3 × 4k⁸/k² × 4k⁸

4k⁸ is a common factor to the numerator and denominator, so we cancel it out

12k⁸/4(k⁵)² = 3/k²

Therefore, the simplest form of the fracion 12k⁸/4(k⁵)² is derived as the expression 3/k.

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Answer:

The slope is -6

Step-by-step explanation:

12x+2y=24

We want to find the slope of a line that is parallel to this line.

Parallel lines have the same slope, so we need to find the slope of this line.

We can get this equation in slope intercept form to find the slope

y = mx+b  where m is the slope

Subtract 12x from each side

2y = -12x+24

Divide each side by 2

y = -12x/2 +24/2

y = -6x+12

The slope is -6

Answer:

Option (A) and (B)

Step-by-step explanation:

The area under the standard Normal curve corresponding to –0.3 < Z < 1.6 is answer choices 0.3273, and 0.4713.

Area = 0.3273. Ergo, the answer is A.

Step-by-step explanation:

0.9953/2 - 0.3085/2

Answer:

<AFC

Step-by-step explanation:

Vertical angles are pairs of opposite angles that are created by two intersecting lines. As an example, the other pair of vertical angles are <CFD and <AFE.

the Pearson product moment correlation measures the linear relationship between two interval- and/or ratio-scaled variables (scale variables) such as those depicted conceptually by scatter diagrams: True.

A measure of the degree and direction of relationship between two variables assessed on at least an interval scale is the Pearson product-moment correlation coefficient, or Pearson's correlation.

If you want to determine whether there is a linear relationship between two quantitative variables, you may use Pearson's correlation. The expectation of a linear relationship between those variables is the sole part of the study hypothesis.

This approach finds the precise amount or degree of correlation between any two variables and tells if there is or is not any correlation between them.

Thus, the given statement is true.

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Answer: It is an obtuse triangle.

Answer: No

Step-by-step explanation:

To know if a triangle is a right triangle, we can use Pythagorean Theorem to test.

Pythagorean Theorem: [tex]a^2+b^2=c^2[/tex]

[tex]4^2+6^2=8^2[/tex]                [exponents]

[tex]16+36=64[/tex]                [add]

[tex]52\neq 64[/tex]

Therefore, this is not a right triangle.