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Murljashka [212]
3 years ago
9

James will need 180 cubic feet of concrete. The concrete mix delivery truck driver wants the order in cubic yards. How many cubi

c yards will James need to order?
Mathematics
1 answer:
ale4655 [162]3 years ago
4 0
We determine the number of cubic yards that James need to order by converting the unit of measurement given in feet to yards. Every yard is composed of 3 feet. Thus, the solution would be,
       (180 ft)³ x (1 yd/ 3ft)³ = 6.67 yd³
Thus, James will have to order 6.67 yd³. 
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Factor of x^3-x^2-24x-36
Basile [38]
The trial and error method is used to find an initial factor:
If we let f(x) = x³ - x² - 24x - 36 and all we have to do is sub' in values of x until
f(x) = 0, we can use this to find an initial factor by the factor theorem:
f(1) = (1)³ - (1)² - 24(1) - 36 = -60
f(2) = (2)³ - (2)² - 24(2) - 36 = -80
f(5) = (5)³ - (5)² - 24(5) - 36 = -56
*** f(6) = (6)³ - (6)² - 24(6) - 36 = 0 ***

f(6) = 0 so (x - 6) is a factor of f(x).
This means that: f(x) = x³ - x² - 24x - 36 = (x - 6)(ax² + bx + c).
To find a,b and c, use long division (or inspection) to divide x³ - x² - 24x - 36 by x - 6.
The other 2 factors of f(x) can then be found by factorizing the
ax² + bx + c quadratic the way you would with any other quadratic (i.e. by quadratic formula, CTS or inspection).
5 0
3 years ago
What is the mean of Variable A? Express answer to one decimal place. Scatter plot on a first quadrant coordinate grid. The horiz
ivanzaharov [21]
Variable A is x. Variable B is y. (x,y)

2 , 2, 4, 5, 6, 7, 8, 9

Mean is computed by adding all the numbers in the data set and dividing it by its count.

2 + 2 + 4 + 5 + 6 + 7 + 8 + 9 = 43

43 / 8 = 5.375 rounded to 5.4
4 0
3 years ago
Geometry Helps please<br> (Only correct Answers only please) Thank you!
Elza [17]

Answer:

37.68 units³

Step-by-step explanation:

To calculate the volume of a cone, the formula is:

V = π x r² x ( h / 3 )

Simply input the corresponding numbers into the equation:

V = π x ( 2 )² x ( 9 / 3 )

V = π x 4 x ( 3 )

V = π x 12

V = 3.14 x 12

V = 37.68 units³

If we use 3.14 for pi, the answer comes out to 37.68 units³

6 0
3 years ago
If the Alpha company is 79% staffed and the Beta company is only 62% staffed, what is the relative change of staffing from the A
sweet [91]

Answer:

27.41%

Step-by-step explanation:

Data provided in the question

The staffed of Alpha company = 79%

The staffed of Beta company = 62%

Based on the above information, the relative change of staffing from Alpha to beta company is

As we know that

\bold {\ Relative \ change = \frac{\alpha- \beta }{\beta }}

= \frac{(79 -62)}{62} \% \\\\= \frac{17}{62} \times 100\\\\=0.2741 \times 100\\\\=27.41\ \%

By applying the above formula we can get the relative change and the same is to be applied so that the correct percentage could come

5 0
3 years ago
In a company, 37% of 1500 employees are females.work out the number of males in the company.
a_sh-v [17]
Formula:

y = p\% \times x
p = 37\% \div 100 = 0.37
y = 0.37 \times 1500 = 555
so there are 555 woman working.
1500 - 555 = 945
there are 945 men working

6 0
3 years ago
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