Answer:
The Human Ressourcs department of a company manages functions such as recruitment, promotions, payroll, and performance appraisals.
Step-by-step explanation:
Answer: 11 am
hope this helps!
The length and the width of the bar are 6.7ft and 7.3ft respectively
The formula for calculating the volume of the chocolate bar is expressed as:
Given the following parameters
If the length is 0.6 foot shorter than twice its width, hence;
l = w - 0.6
The expression becomes;
On factorizing the result, w = 7.3ft
Recall that l = w - 0.6
l = 7.3 - 0.6
l = 6.7ft
Hence the length and the width of the bar are 6.7ft and 7.3ft respectively.
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Answer:
Length=9.6
Width=5.1
Step-by-step explanation:
Step one:
given data
for the large chocolate
Area=48.96ft^2
let the width be x
w=xft
let the length be l
l=(2x-0.6)
Step two:
we know that area A=length * width
48.96=(2x-0.6)*x
48.96=2x^2-0.6x
2x^2-0.6x-48.96=0
divide through by 2 we have
x^2-0.3x-24.48=0
solving the quadratic equation, the roots are
x=5.1
x=-4.8-----not correct cannot be -ve
so x=5.1
the width is 5.1
the length = 2(5.1)-0.6
l=10.2-0.6
l=9.6
check Area= 9.6*5.1= 48.96
Answer:
im stuck on this to
Step-by-step explanation:
Answer:
1656
Step-by-step explanation:
Answer:
207
Step-by-step explanation:
9ft=3yrds
3x69=207
Step-by-step explanation:
To find the number of terms common to the two arithmetic progressions (APs), we can first determine the general terms of both sequences and then find their common terms.
The first AP has a common difference of 5, and the second AP also has a common difference of 5. We can write the general terms as:
First AP: a₁ = 2, a₂ = 2 + 5, a₃ = 2 + 2 * 5, ..., aₖ = 2 + (k - 1) * 5
Second AP: b₁ = 3, b₂ = 3 + 5, b₃ = 3 + 2 * 5, ..., bₖ = 3 + (k - 1) * 5
Now, we need to find when these two sequences are equal, i.e., aₖ = bₖ:
2 + (k - 1) * 5 = 3 + (k - 1) * 5
Simplifying this equation:
2 + 5k - 5 = 3 + 5k - 5
2 - 5 = 3 - 5
-3 = -3
The equation -3 = -3 is always true, which means that these two sequences are always equal for any value of k. Therefore, the number of terms common to the two APs is infinite, and the correct answer is:
d. None of these
The number of terms common to the two arithmetic progressions is 7.
To find the number of terms common to the two arithmetic progressions (A.P.s), we need to compare the terms of each A.P. and count the number of terms that are the same.
The first A.P. is 2, 5, 8, 11, ..., 98. The common difference between the terms is 3.
The second A.P. is 3, 8, 13, 18, ..., 198. The common difference between the terms is also 5.
To find the common terms, we can use the formula:
Term = First Term + (n - 1) * Common Difference
For the first A.P., we have:
First Term = 2
Common Difference = 3
For the second A.P., we have:
First Term = 3
Common Difference = 5
We need to find the values of 'n' that make the terms of both A.P.s the same. By substituting the values into the formula, we can solve for 'n' and calculate the number of common terms.
The number of terms common to the two A.P.s is 7. Therefore, the answer is option c.
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