A company is promoting two employees to the director and manger roles. If there are currently 35 employees, how many ways can those positions be filled?
1785

1190

595

270

The surface area of the larger sphere with a volume of 64π cm³ is 16π∛36 cm³.

The volume of the larger sphere = 64π cm³

let us take the radius of the larger sphere r

So, 4/3*π*r³ =64π

r³=48

r=2∛6

The surface area of a sphere with radius r is 4πr².

So, the surface area of the larger sphere = 4π(2∛6)²

The surface area of the larger sphere = 16π∛36

Hence, The surface area of the larger sphere with a volume of 64π cm³ is 16π∛36 cm³.

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The value of c that makes the given trinomial a perfect square is 9.

The given expression is:

[tex]x^{2} +6x+c[/tex]

A polynomial is called a perfect square trinomial if it can be written in terms of the square of another polynomial.

Let us write the given expression in (a+b)² form

[tex]x^{2} +6x+c[/tex]

[tex]x^{2} +2*3*x+c[/tex].....(1)

We know [tex](a+b)^2=a^{2} +2ab+b^{2}[/tex]......(2)

To make (1) like  we need to put c=9

[tex]x^{2} +2*3*x+9[/tex]

[tex]x^{2} +2*3*x+3^2[/tex]

[tex](x+3)^2[/tex]

Hence, the value of c that makes the given trinomial a perfect square is 9.

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Answer:

that's what you get on multiply ing the given matrices

Answer: ( 28, 43)

Step-by-step explanation: I took the test.

[ 2 -6 ] [ 5 ] = [ (2)(5) + (-6)(-3) ]   =  [ 28 ]

[ 8  -1 ] [ -3]    [ (8)(5) + (-1)(-3)  ]       [ 43 ]

Thus the answer is (28, 43)

[tex](5i)^2\\\\=25\cdot i^2\\\\=25(-1)\\\\=-25[/tex]

(5i)² can be written in integer form as as -25.

The numbers which can be expressed in the form of a + ib, where both 'a' and 'b' are real numbers and 'i' an imaginary number is called complex numbers.

So a complex number has a real part and an imaginary part.

The imaginary number 'i' is called iota and value of i is √-1.

We know the value of i.

i = √-1

i² = -1

(5i)² only has an imaginary part.

∴ (5i)² = 5² i²

          = 25 × -1

          = -25

Hence we can write (5i)² as -25 in the integer form.

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#SPJ2

Answer:

10x+2

Step-by-step explanation:

creo que es esa no se si esta bien

The histogram shows the distribution of the x and y values

The minimum x value is 3, the maximum x value = 8 and the interval size is 1

From the figure of the given histogram, we have the following highlights:

The interval size is the difference between different classes.

i.e.

Interval = 4 - 3

Interval = 1

Hence, the interval size is 1

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Answer: 6/7

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

given a quadratic equation in standard form

ax² + bx + c = 0 (a ≠ 0 )

the discriminant b² - 4ac informs us about the nature of the roots

• If b² - 4ac > 0 then roots are real and irrational

• If b² - 4ac > 0 abd a perfect square then roots are real and rational

• If b² - 4ac = 0 then roots are real and equal

• If b² - 4ac < 0 the roots are complex

4x² + 6x - 7 = 0 ← is in standard form

with a = 4, b = 6, c = - 7 , then

b² - 4ac = 6² - (4 × 4 × - 7) = 36 - (- 112) = 36 + 112 = 148

since b² - 4ac > 0 then roots are real and irrational

Answer:

h/24= d

if you have any questions do ask

Answer: 1.45litres

Step-by-step explanation:

250ml = 0.25litres

1.2+0.25= 1.45

ans is 1.45litres

The dot plot shows the frequency or length of the tadpoles

The total length of the tadpoles that are 1/8-inch and 1/4-inch long is 7/8 inches

From the dot plot, we have the following parameters:

So, the total length is:

Total = 3 * 1/8 + 2 * 1/4

Evaluate the product

Total = 3/8 + 1/2

Rewrite as;

Total = 3/8 + 4/8

Evaluate the sum

Total = 7/8

Hence, the total length of the tadpoles that are 1/8-inch and 1/4-inch long is 7/8 inches

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Answer:

well its simple really.

Step-by-step explanation:

its a 1 percent chance however, by moving her hand around enough like around 20 seconds she'll get green.

Answer:

Where is the question??

Answer:

98 degree

Step-by-step explanation:

x = 180 - FGH

but

FGH = 180- (53+45)

thus

FGH = 82

thus

x = 180-82

thus

x = 98

Answer:

B. None of the above

Step-by-step explanation:

For this problem the strategy is to count the squares to find the value of each dimension:

Volume = L x W x H

Volume = 4 x 3 x 5

Volume = 60 units cubed

I hope this helps!

According to the line of best fit, the value of time when the temperature reach 100°c, the boiling point of water is 5.

Linear regression is a type of regression which is used to model the statement in which the growth or decay initially with constant rate, and then slow down with respect to time.

The table shows the temperature of an amount of water set on a stove to boil, recorded every half minute. a 2-row table with 10 columns.

The sum of time is 22.5 and the sum of temperature value is 880.5. In this table,

The regression equation for this data can be given as,

[tex]\hat y=4.53939 X+77.83636[/tex]

Put the value of temperature (y) 100 in this equation.

[tex]100=4.53939 X+77.83636\\X=\dfrac{100-77.83636}{4.53939}\\X\approx 5[/tex]

Hence, according to the line of best fit, the value of time when the temperature reach 100°c, the boiling point of water is 5.

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Answer:  

the first answer is correct (a)

Step-by-step explanation:

Answer:

The first figure: Its the Triangle

The second figure: Its the rectangle

The third figure: Its the rectangle (for me this one would be a square)

Hope this helps!!

The null hypothesis for the test regarding the blood type is that they distribution of blood types among art major is the same as the US distribution.

It should be noted that null hypothesis simply suggests that there is no statistical relationship.

Here, the null hypothesis for the test regarding the blood type is that the distribution of blood types among art major is the same as the US distribution and the alternative hypothesis is that the distribution of blood types among art major is different from the US distribution.

The conditions for this test have been met as all expected frequencies are greater than 5.

Since the test statistic is 9.63 and the p-value is 0.022, one can reject the null hypothesis. Therefore, it'll be concluded that the distribution of blood types among arts majors and minors is different from the U.S distribution.

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Answer:

27,375.34

Step-by-step explanation:

I did 3 percent of 28,222 then subtracted it from 28,222

Answer: 475 boxes

Step-by-step explanation: i did the math

i divided  57 by 3 and it was 19 thats the amount of bxes per min then i multipyed by 25

Answer:

475

Step-by-step explanation:

In 1 minute It makes:

57/3 = 19

In 25 minutes It makes:

25 * 19 = 475

51-2C

Hope it helps.

Do comment if you have any query.

Answer:

0.111

The probability of two blue marbles being drawn from the bag to all marbles is 2/18, and 2/18 ----> 0.11 rounded to nearest thousandth.

Step-by-step explanation:

Answer:

The total amount the customer would have to repay after one year is $1,007.

(2 Years = $1,067.42)  (3 Years = $1131.47)  (4 Years = $1199.36)

(5 Years = $1271.32)

Step-by-step explanation:

$950 • 6% = $57

$950 • 0.06 = $57

$950 + 6% = $1,007

I hope this helps.

_________________________________________________________

Why do we include 40 if it says less than?

Good question.

We include 40 because it technically counts as representing itself or anything within the range of 20 and 40

-> The domain is the input values

      [] What "goes into" the function

      [] The x-coordinate values

-> The range is the output values

      [] What "comes out" of the function

      [] The y-coordinate values

-> They both are values from / with regards to a function.

Answer:

y = 2

x = 7

Explanation:

Make the coefficient of "y" in equation 1 same

{ 5x + 3y = 41 } * 2     →  10x + 6y = 82  ........equation 1

                                  →  3x - 6y = 9 ........equation 2

solving them using linear combination

     ============

Find y:

Answer:

y = 7

Step-by-step explanation:

Since the biggest exponent on the top (numerator) and the bottom (denominator) are EQUAL...both are the third power in this question. Then just grab the coefficients (the number next to it, the 14 and below, the 2)

Keep them stacked the way you see them:

14/2 and write the equation. A horizontal line has the form y=

In this case, y = 14/2

y = 7

(jfyi if the top has a bigger exponent, then NO horizontal asymptote. If the bottom has a bigger exponent, then the H.A. is y = 0)

Answer:

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