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nexus9112 [7]
1 year ago
13

A company has two office buildings that hold 30,000 employees. Their headquarters contains 14 times as many employees as their o

verseas branch. Therefore, their headquarters contains __?__ employees.
Mathematics
2 answers:
VikaD [51]1 year ago
7 0

Answer:

Their headquarters contains <u>420000</u> employees.

Step-by-step explanation:

The company has two office buildings which hold 30,000 employees.

The headquarters contains 14 times as many employees as the overseas branch.

Therefore, the number of employees in the headquarters is:

14 * 30000 = 420000 employees

Their headquarters contains 420000 employees.

Guest
11 months ago
I think we are to assume that one of the buildings is the headquarters and the other is the overseas branch, so this would be incorrect. We have to spit the number of employees for the 2 buildings. One will have 14 times more than the other. The answer should be under 30000.
Guest11 months ago
0 0

14x + x = 30,000
15x=30,000
x=2,000
14x= 14(2,000)= 28,000

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In two or more complete sentences, describe the transformation(s) that take place on the parent function, f(x) = log(x), to achi
lubasha [3.4K]

Answer:

Shift 2 unit left

Flip the graph about y-axis

Stretch horizontally by factor 2

Shift vertically up by 2 units

Step-by-step explanation:

Given:

Parent function: f(x)=\log x

Transformation function: f(x)=\log(-2x-4)+2

Take -2 common from transform function f(x)

f(x)=\log[-2(x+2)]+2

Now we see the step-by-step translation

f(x)=\log x

Shift 2 unit left ( x → x+2 )

f(x)=\log(x+2)

Flip the graph about y-axis ( (x+2)  → - (x+2) )

f(x)=\log[-(x+2)]

Stretch horizontally by factor 2 [ -x(x+2) → -2(x+2) ]

f(x)=\log[-2(x+2)]

Shift vertically up by 2 units [ f(x) → f(x) + 2 ]

f(x)=\log[-2(x+2)]+2

Simplify the function:

f(x)=\log(-2x-4)+2

Hence, Using four step of transformation to get new function f(x)=\log(-2x-4)+2

3 0
1 year ago
Read 2 more answers
MISSY SAYS THAT 5/6 EQUALS 6 DIVIED 5 IS SHE CORRECT? WHY ORWHY NOT.
ale4655 [162]
It’s 5 divided by 6 bc the 5 is the numerator, no she is not correct.
7 0
1 year ago
Read 2 more answers
On Saturday, Craig rode his bike 5/8 of a mile. On Saturday, he rode his bike 1/2 of a mile. Craig added 5/8+1/2=6/10and plotted
VashaNatasha [74]
* Craig's answer is not reasonable because to add fractions the denominators must be the same.

** Total distance = 5/8 + 1/2 = 5/8 + 4/8 = 9/8 miles

*** Using the line number to prove the answer:
The line number that represents the problem is in the attached figure.
while the distance between 0 and 1 divided to 8 sections
to represent (5/8) count 5 sections from zero ⇒⇒⇒ point (a)
and to represent (1/2) it is the midpoint between 0 and 1 which mean it is 4 sections but it will be counted from point (a) so, adding 4 sections to point (a) the result will be the point (b)
So, counting from 0 to point (b) will give us 9 sections
and while one section represents (1/8)
So the total distance will be 9 * (1/8) = 9/8 which is agree with the result obtained before

3 0
1 year ago
Suppose you were exploring the hypothesis that there is a relationship between parents’ and children’s party identification. Wou
alukav5142 [94]

Answer:

No

It could be purely due to chance.

Step-by-step explanation:

A population is defined as the whole group which has the same characteristics. For example a population of the college belongs to the same college . But a sample may be an element of a population.

So it is not necessary for a population to have the same characteristics as the sample.

But it is essential for the sample to have at least one same characteristics as the population.

So we would not be correct in inferring that such a relationship also exists in the population.

It is a hypothesis which can be true or false due to certain conditions or limitations as the case maybe.

For example in a population of smokers some may be in the habit of taking cocaine. But a sample of cocaine users does not mean the whole population uses it.

It could be purely due to chance if we find out that there is a relationship between parents’ and children’s party identification in the population.

7 0
2 years ago
Sometimes a change of variable can be used to convert a differential equation y′=f(t,y) into a separable equation. One common ch
enot [183]

Answer:

y=\frac{-7t^2+22t-7}{7t-22}

Step-by-step explanation:

We are given that

Initial value problem

y'=(t+y)^2-1, y(3)=4

Substitute the value z=t+y

When t=3 and y=4 then

z=3+4=7

y'=z^2-1

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Then, we get

\frac{dz}{dt}=1+y'

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-\frac{1}{z}dz=t+C

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Substitute t=3 and z=7

Then, we get

7=-\frac{1}{3+C}

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C=-\frac{22}{7}

Substitute the value of C then we get

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y=\frac{-7}{7t-22}-t

y=\frac{-7-7t^2+22t}{7t-22}

y=\frac{-7t^2+22t-7}{7t-22}

8 0
2 years ago
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