How would i express this as an algebraic expression?
The sum of a number decreased by three, and eight more than the quotient of triple the number and five.

Answer:

y = -1/6x + 2

Step-by-step explanation:

Slope: (-6,3) and (6,1) = (1-3) / (6 - - 6)

= - 2/12 = -1/6

b = 3 - (-1/6)(-6)

b = 3 - 1

b = 2

Answer:

3 digits

Step-by-step explanation:

4641 divided by 39 is 119, which is 3 digits

Answer:

119

Step-by-step explanation:

The number 4641 is called the numerator or dividend, and the number 39 is called the denominator or divisor.

The quotient of 4641 and 39, the ratio of 4641 and 39, as well as the fraction of 4641 and 39 all mean (almost) the same:

4641 divided by 39, often written as 4641/39.

Read on to find the result of 4641 divided by 39 in decimal notation, along with its properties.

Answer:

14.01

Step-by-step explanation:

Answer:

$14.01

Step-by-step explanation:

The slope of a line perpendicular to the line whose equation is x - 2y = -8 is -2.

In Mathematics and Geometry, perpendicular lines are two (2) lines that intersect or meet each other at an angle of 90° (right angles).

From the information provided above, the slope for the equation of line m is given  by:

x - 2y = -8

2y = x + 8

y = x/2 + 4

slope (m) of line m = 1/2

In Mathematics and Geometry, a condition that is true for two lines to be perpendicular is given by:

m₁ × m₂ = -1

1/2 × m₂ = -1

m₂ = -2

Slope, m₂ of perpendicular line = -2

Read more on perpendicular line here: brainly.com/question/27257668

#SPJ1

Answer: 0.00923521

Step-by-step explanation:

Given : The probability U.S households play video or computer games=69%=0.69

here, the probability of each U.S household play video or computer games is fixed as 0.69

Then, the probability of each U.S household not play video or computer games= 1-0.69=0.31

For independent events the probability of their intersection is product of probability of each event.

Now, the probability that none play video/computer games will be :-

\((0.31)^4=0.00923521\)

Answer: BC = 24

Step-by-step explanation:

Given:

AB = x+33

AC = 3x - 15

BC = x

<B = <C

Solution:

Because <B = <C, you can say the corresponding sides AB and AC are equal as well

AB = AC

x + 33 = 3x -15  

48 = 2x

x = 24

Since x = BC

BC = x

BC = 24

The weekly gross pay is 1040. The solution is obtained using arithmetic operations.

What are arithmetic operations?

There are four basic operations which are listed as follows:

•Addition(‘+’): This operation deals with finding the sum.

•Subtraction(‘-’): This operation deals with finding the difference.

•Multiplication(‘×’): This operation deals with finding the product.

•Division(‘÷’): This operation deals with finding the quotient.

Assumption: Weekly working hours are 40.

Since, the hourly rate is 20 per hour and working hours per week are 40

So, the weekly pay comes out to be 40*20= 800

The overtime rate is time and a half which comes out to be

20*1.5= 30 per hour

The overtime hours are 48-40=8 hours

So, the weekly overtime pay comes out to be 8*30= 240

The total pay= 800+240= 1040

Hence, the weekly gross pay is 1040.

Learn more about arithmetic operations from the given link

brainly.com/question/20628271

#SPJ1

Answer:

I don't know-how to answer that

Answer:

Chima would obtain 1200

After 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

The amount of a radioactive isotope remaining after a certain number of half-lives can be calculated using the formula:

Amount remaining = Initial amount × (1/2)^(number of half-lives)

In this case, we are given the initial amount as "grams" and we want to find out the amount remaining after 4 half-lives.

So, the equation becomes:

Amount remaining = Initial amount × (1/2)^4

Since each half-life reduces the quantity to half, (1/2)^4 represents the fraction of the initial amount that will remain after 4 half-lives.

Simplifying the equation:

Amount remaining = Initial amount × (1/16)

Therefore, after 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

for such more question on radioactive isotope

https://brainly.com/question/20596678

#SPJ8

Answer:

6

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    -2/3*x+9=(4/3*x-3)=?

Step by step solution :

STEP

1

:

           4

Simplify   —

           3

Equation at the end of step

1

:

      2          4

 ((0-(—•x))+9)-((—•x)-3)  = 0  

      3          3

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  3  as the denominator :

        3     3 • 3

   3 =  —  =  —————

        1       3  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

4x - (3 • 3)     4x - 9

————————————  =  ——————

     3             3    

Equation at the end of step

2

:

         2                (4x - 9)

 ((0 -  (— • x)) +  9) -  ————————  = 0  

         3                   3    

STEP

3

:

           2

Simplify   —

           3

Equation at the end of step

3

:

         2                (4x - 9)

 ((0 -  (— • x)) +  9) -  ————————  = 0  

         3                   3    

STEP

4

:

Rewriting the whole as an Equivalent Fraction

4.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  3  as the denominator :

        9     9 • 3

   9 =  —  =  —————

        1       3  

Adding fractions that have a common denominator :

4.2       Adding up the two equivalent fractions

-2x + 9 • 3     27 - 2x

———————————  =  ———————

     3             3    

Equation at the end of step

4

:

 (27 - 2x)    (4x - 9)

 ————————— -  ————————  = 0  

     3           3    

STEP

5

:

Adding fractions which have a common denominator

5.1       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(27-2x) - ((4x-9))     36 - 6x

——————————————————  =  ———————

        3                 3    

STEP

6

:

Pulling out like terms

6.1     Pull out like factors :

  36 - 6x  =   -6 • (x - 6)  

Equation at the end of step

6

:

 -6 • (x - 6)

 ————————————  = 0  

      3      

STEP

7

:

When a fraction equals zero

7.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, then multiplies both sides of the equation by the denominator.

Here's how:

 -6•(x-6)

 ———————— • 3 = 0 • 3

    3    

Now, on the left hand side, the  3  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  -6  •  (x-6)  = 0

Equations which are never true:

7.2      Solve :    -6   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

7.3      Solve  :    x-6 = 0  

Add  6  to both sides of the equation :  

                     x = 6

One solution was found :

x = 6

Answer:

x=6

Step-by-step explanation:

a) The mean rainfall from seeded clouds exceeds 25 acre-feet is 1.99

b) As per the normal distribution, with the significance level 0.05 the rainfall is normally distributed.

c) The power of the test if the true mean rainfall is 27 acre-feet is 23.5%

d) The sample size would be required to detect a true mean rainfall of 27.5 acre-feet if we wanted the power of the test to be at least 0.9 is 28 clouds

e) The upper bound is greater than 25 acre-feet, we can support the claim that the mean rainfall from seeded clouds exceeds 25 acre-feet with a level of confidence of 99%.

a) To support a claim that mean rainfall from seeded clouds exceeds 25 acre-feet, we can perform a one-tailed hypothesis test with a significance level of α = 0.01.

Substituting the values, we get:

t = (25.96 - 25) / (4.48 / √20) = 1.99

b) To test if the rainfall is normally distributed, we can perform a normal probability plot and a Shapiro-Wilk test.

Using software, we can create a normal probability plot and perform the Shapiro-Wilk test.

The Shapiro-Wilk test also does not reject the null hypothesis that the data is normally distributed at a significance level of α = 0.05, we can assume that the rainfall data is normally distributed.

c) To compute the power of the test if the true mean rainfall is 27 acre-feet, we can perform a one-tailed hypothesis test with a significance level of α = 0.01. The null hypothesis H0 is that the mean rainfall is less than or equal to 25 acre-feet, and the alternative hypothesis Ha is that the mean rainfall is greater than 25 acre-feet.

Substituting the values, we get:

t = (25.96 - 27) / (4.48 / √20) = -1.43

Using software or a t-distribution table, we find that the probability of rejecting the null hypothesis when the true mean is 27 acre-feet is 0.235. Therefore, the power of the test is 0.235 or 23.5%.

d) To determine the sample size required to detect a true mean rainfall of 27.5 acre-feet with a power of at least 0.9, we can use power analysis.

Substituting the values, we get:

d = (27.5 - 25) / 4.48 = 0.56

Therefore, a sample size of at least 28 clouds would be required to detect a true mean rainfall of 27.5 acre-feet with a power of at least 0.9.

e) To answer the question in part (a) by constructing a one-sided confidence bound on the mean diameter, we can use a one-sided confidence interval with a level of confidence of 99%.

Substituting the values, we get:

x + tα,df * (s / √n) = 25.96 + 2.861 * (4.48 / √20) = 27.23

This means that we can be 99% confident that the true population mean rainfall from seeded clouds is greater than 27.23 acre-feet.

To know more about normal distribution here.

https://brainly.com/question/29509087

#SPJ4

Answer:

m = \(\frac{-3}{4}\)

Step-by-step explanation:

We are given two points ( -3, 1 ) and ( 1, -2).

The slope formula is m = \(\frac{rise}{run}\) = \(\frac{y2 - y1}{x2 - x1}\)

So, we have \(\frac{(-2)-(1)}{(1)-(-3)}\) = \(\frac{-3}{1+3}\) = \(\frac{-3}{4}\)

Answer:

I think it would be 4/5 because in the box there are 4 c and 1 b

Step-by-step explanation:

Answer:

4/5 the top is right...

Step-by-step explanation:

Using the percentage concept, it is found that 95.4% of the park will be used for other activities.

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

\(P = \frac{a}{b} \times 100\%\)

In this problem, there will be two courts of 5,000 square feet each, totaling 10,000 square feet. The remainder 207,800 square feet will be used for other activities, hence the percentage is given by:

\(P = \frac{207,800}{217,800} \times 100\% = 95.4\%\)

95.4% of the park will be used for other activities.

More can be learned about the percentage concept at https://brainly.com/question/10491646

Answer:

1. y² - 3x - 18

2. 4x² - 33x + 35

3. 12x² - 11x + 2

Step-by-step explanation:

All we do with these questions are expanding the factored binomials. Use FOIL:

1. y² + 3y - 6y - 18

y² - 3y - 18

2. 4x² - 28x - 5x + 35

4x² - 33x + 35

3. 12x² - 3x - 8x + 2

12x² - 11x + 2

Answer:

1) (y-6) (y+3)

=> \(y^2+3y-6y-18\)

=> \(y^2-3y-18\)

2) (4x-5) (x-7)

=> \(4x^2-28x-5x+35\)

=> \(4x^2-33x+35\)

3) (3x - 2) ( 4x - 1)

=> \(12x^2-3x-8x+3\)

=> \(12x^2-11x+3\)

Answer:

! not sure if correct !

Step-by-step explanation:

54% of anna's workout was lifting weight

Answer:

45%

Step-by-step explanation:

21+45=66=1 hour 6 mins

2 hours=120 min

120-66=54

(54/120)x100=45 45%

Answer:

Jane is 12 years old.

Harvey is 36 years old.

Step-by-step explanation:

The explanation is attached.

3. The factored polynomial is p(x) = (x - 1)(x - 5)

4. The factored polynomial is p(x) = (x + 3)²

A polynomial is a mathematical expression in which the power of the unknown is greater than or equal to 2.

3. To factorize the polynomial using the graph, we see that the polynomial cuts the x - axis at x = 1 and x = 5.

This implies that its factors are (x - 1) and (x - 5)

So, the factored polynomial is p(x) = (x - 1)(x - 5)

4. To factorize the polynomial using the graph, we see that the polynomial touches the x - axis at only one point x = -3. So,it has repeated roots

This implies that its factors are (x - (-3)) = (x + 3) twice

So, the factored polynomial is p(x) = (x + 3)²

Learn more about factorization of polynomial here:

brainly.com/question/30806486

#SPJ1

The arrow is at a height of 48 ft after approx. 3 - √6 s and after 3 + √6 s.

To find the time it takes for the arrow to reach a height of 48 ft, we can use the formula for the height of the arrow:

s = v0t - 16t^2

Here, s represents the height of the arrow, v0 is the initial velocity, and t is the time.

Given that the initial velocity, v0, is 96 ft/s and the height, s, is 48 ft, we can set up the equation:

48 = 96t - 16t^2

Now, let's solve this equation to find the time it takes for the arrow to reach a height of 48 ft.

Rearranging the equation:

16t^2 - 96t + 48 = 0

Dividing the equation by 16 to simplify:

t^2 - 6*t + 3 = 0

We now have a quadratic equation in the form of at^2 + bt + c = 0, where a = 1, b = -6, and c = 3.

Using the quadratic formula:

t = (-b ± √(b^2 - 4ac)) / (2a)

Plugging in the values:

t = (6 ± √((-6)^2 - 413)) / (2*1)

t = (6 ± √(36 - 12)) / 2

t = (6 ± √24) / 2

Simplifying the square root:

t = (6 ± 2√6) / 2

t = 3 ± √6

Therefore, the arrow reaches a height of 48 ft after approximately 3 + √6 seconds and 3 - √6 seconds.

In summary, the arrow takes approximately 3 + √6 seconds and 3 - √6 seconds to reach a height of 48 ft, assuming an initial velocity of 96 ft/s.

For more question on height visit:

https://brainly.com/question/28990670

#SPJ8

Note the complete question is

The height of an arrow shot upward can be given by the formula s = v0*t - 16*t², where v0 is the initial velocity and t is time.How long does it take for the arrow to reach a height of 48 ft if it has an initial velocity of 96 ft/s?  

Solve (t-3)^2=6

The arrow is at a height of 48 ft after approx. ___ s and after ___ s.

Answer:

12/20

Step-by-step explanation:

\(\displaystyle \frac{3}{5}=\frac{3}{5}\cdot\frac{4}{4}=\frac{12}{20}\)

The answer is:

In-depth-explanation:

The denominator of 3/5 is 5. To get from 5 to 20, we multiply it by 4.

We need to multiply both the numerator and the denominator by 4, so we do this:

\(\sf{\dfrac{3\times4}{5\times4}}\)

\(\sf{\dfrac{12}{20}}\)

Answer:

the second one

Step-by-step explanation:

Answer:

There is four boxes I answered this in order

1st box: 3

2nd Box:  7

3rd box: 15

4th box : 19

5th box ; 16

Step-by-step explanation:

This is simple

In general, the point-slope form of a linear equation is:

Where (x_1, y_1) is a point on the line.

In our problem:

We can simplify more the last expression, but we would lose the point-slope form and obtain the standard form instead.

Thus, the answer is:

i believe the answer is 2/39

Answer:

Step-by-step explanation:

The dimensions of the frame, including the picture, are:

The area is:

Required equation is:

Length

Width

Area

So