A project manager must select four analysts from her group to write four

different software functions. There are 5 junior and 8 senior analysts in her group.

The first and fourth functions can be written by any of the analysts. The second

function must be written by a senior person and the third function must be written

by a junior person. How many ways are there for her to assign the analysts to the

functions if no person can be assigned to more than one function?

Answer:

Step-by-step explanation:

I need a graph. but from what you're telling me they are both 90 degrees

Answer:

she can take six round trips before her warning light turns on

Answer:

40%

Step-by-step explanation:

Given,

Here,

Percentage of girls=256/640×100%

= 40%

The model that can be used to find the number of toys is  1.25* (2.5) ⁿ.

An increment of 150% means an increment of 1.5 times of initial value.

Number of toys initially = 1,250,000 or 1.25 millions

Number of toys after a year = 1.25 + 1.25*1.5 = 1.25*(2.5)¹

Number of toys after two year =1.25 * 2.5+ 1.25*2.5*1.5 = 1.25*(2.5)²

Number of toys after three year = 1.25* (2.5)³

So, Number of toys after n year = 1.25* (2.5) ⁿ

Therefore, the model that can be used to find the number of toys is  1.25* (2.5) ⁿ.

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Answer:

c

Step-by-step explanation:

Answer: 20.4

Step-by-step explanation: U = 74°

Cos 74 = x/74

x = 74 * Cos 74

x = 20.39716433 or 20.4

Answer:

SEE BELOW

Step-by-step explanation:

1 - 12000 ft

2 - 10 minutes

3 - The third segment in he graph is not as steep as the first segment because the flight took more time to lose altitude than the time taken to gain altitude.

Hope it helped

Answer:

[tex] \: [/tex]

Step-by-step explanation:

A rectangle is a parallelogram with equal angles and the diagonals of a rectangle are of equal length.

[tex] \: [/tex]

Therefore,

[tex]\\ { \longrightarrow \qquad{ \sf{ \pmb {DF = EG}}}} \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ \sf{ \pmb {7x - 3 = 5x + 9}}}} \: \: \\ \\[/tex]

Subtracting 5x from both sides we get :

[tex] \\ { \longrightarrow \qquad{ \sf{ \pmb {7x - 5x - 3 = 5x - 5x + 9}}}} \: \: \\ \\[/tex]

[tex] { \longrightarrow \qquad{ \sf{ \pmb {2x - 3 = 9}}}} \: \: \\ \\[/tex]

Adding 3 to both sides we get :

[tex] \\ { \longrightarrow \qquad{ \sf{ \pmb {2x - 3 + 3 = 9 + 3}}}} \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ \sf{ \pmb {2x = 12}}}} \: \: \\ \\[/tex]

Dividing 2 from both sides we get :

[tex]\\ { \longrightarrow \qquad{ \sf{ \pmb { \frac{2x}{2} = \frac{12}{2} }}}} \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ \frak{ \pmb {x = 6}}}} \: \: \\ \\[/tex]

Therefore,

Answer:

[tex](x+3)^{2} +(y+5)^{2} =16[/tex]

Step-by-step explanation:

the general equation of a circle is

[tex](x-h)^{2} + (y-k)^{2} =r^{2}[/tex]

with (h,k) being the centre of the circle and r the radius

Answer:

tony

Step-by-step explanation:

tony is older than him

Answer:

[tex]x = 2 \: or \: x = \frac{1}{2} \\ (x - 2)(2x - 1) = 0 \\ {2x}^{2} - x - 4x + 2 \\ {2x}^{2} - 5x + 2[/tex]

Step-by-step explanation:

The given table is an example of constant exponential decay.

It is given that

X          Y

-4          16

-1           2

2          0.25

4          0.0625

5          0.03125

An exponential function is a relation of the form y = a^x, with the independent variable x ranging over the entire real number line as the exponent of a positive number a.

The y-value at -4 is 16 while the y-value at -1 is 2, a decrement of 1/8 times for an increment in x-value by 3

Again, the y-value at 2 is 0.25 while the y-value at 5 is 0.03125, a decrement of 1/8 times for an increment in x-value by 3.

In both cases, the rate of decrement is constant.

So we can say that this is an example of constant exponential decay.

We can also see this behavior from the attached graph.

Therefore, the given table is an example of constant exponential decay.

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Answer:

answer is 266

Step-by-step explanation:

80% of 355 is 280

4% of 355 is 14

280-14=266

Answer: The fixed amount Geet earns for each television is $60.

Step-by-step explanation: Geet sells televisions. He earns a fixed amount for each television and an additional $ 30 if the buyer gets an extended warranty. If Geet sells 17 televisions with extended​ warranties, he earns $ 1,530.Now, to find the fixed amount Geet earns for each television.Let the cost of fixed amount be .Number of television = 17.He earns total = $1,530.He earns additional amount = $30.Now, to get the fixed amount we put an equation: Subtracting both sides by 510 we get:Dividing both sides by 17 we get:Therefore, the fixed amount Geet earns for each television is $60.

Answer:

$15 Fixed Amount Per TV

Step-by-step explanation:

13 x 15 = 195 - Extended Warranty

845 - 195 = 650

650 ÷ 13 = 50 - Fixed Amount

Answer:

area = 697.5 ft²

Step-by-step explanation:

Think of an outer large rectangle minus a smaller upper rectangle.

area = LW - lw

area = (45 ft)(20 ft) - (45 ft - 10 ft - 8 ft)(7.5 ft)

area = 900 ft² - (27 ft)(7.5 ft)

area = 900 ft² - 202.5 ft²

area = 697.5 ft²

0.00809

Step-by-step explanation:

1000 is divided in 8.09

That is why the answer is 0.00809

Answer:

390 minutes

Step-by-step explanation:

We already know that 1 minutes = 60 seconds

Take 6.5 × 60 = 390 minutes

How many mminutes are in 6.5 hrs

3990 Min

Here the equation is

Compare to slope intercept form

We get

As its rate of change so it must be price of milk change

Answer:

A: (-2.12, 0.5)

D: (2, 5.12)

E: (3.5, -4.12)

I'm going to assume that the three digit numbers have a decimal :))

Answer:

v >_100

Step-by-step explanation:

there is a line underneath the sign it won't let me write that so I just wanted to let u know.

Step-by-step explanation:

Let the measure of the third angle of the triangle be x.

As we know that,

Therefore,

[tex] \sf \longrightarrow {\angle{A}\ +\ \angle{B}\ +\ \angle{C}\ =\ 180^{\circ}} [/tex]

[tex] \sf \longrightarrow {85^{\circ}\ +\ 23^{\circ}\ +\ x\ =\ 180^{\circ}} [/tex]

[tex] \sf \longrightarrow {108^{\circ}\ +\ x\ =\ 180^{\circ}} [/tex]

[tex] \sf \longrightarrow {x\ =\ 180^{\circ}\ -\ 108^{\circ}} [/tex]

[tex] \bf \longrightarrow {\underline{x\ =\ 72^{\circ}}}\ \bigstar [/tex]

∴ Hence, the measure of the third angle of the triangle is 72°.

Step-by-step explanation:

Total number of stickers is 500.

25% of the total number is hearts:

The rest of the stickers are stars:

Answer:

Step-by-step explanation:

Known:

Given:

To find:

Brian's group ⇒ 1 garage in 12 hours ( [tex]\frac{1garage}{12hours}[/tex])

Sequoia's group ⇒ 1 garage in 16 hours ([tex]\frac{1garage}{16hours\\}[/tex])

To make it easier to calculate the time it would take if they worked together, we will write this expression:

[tex]\frac{1}{12} +\frac{1}{16} =\frac{4}{48} +\frac{3}{48} =\frac{7}{48} \\[/tex]

From this fraction we see that for 7 garages they would need 48 hours. . To calculate how much time they would need for

1 garage, we will further simplify the fraction.

Solving the worked together is would need

6.86 hours for one garage.

Answer:

See the table below.

Step-by-step explanation:

They are provided that the students has to select new colors for the hats and the pants of the marching band uniforms.

The color options for each item are:

yellow (Y), green (G), or black (B).

The sample space for the color selection of hats and pants is:

Sample Space

Hats        Pants

 Y              Y

 Y              G

 Y              B

 G              Y

 G              G

 G              B

 B              Y

 B              G

 B              B

There are a total of 9 possible selections of combinations.

Answer :

⠀

Explanation :

⠀

[tex] \longrightarrow \sf \qquad {x}^{2} + 10x = 39[/tex]

⠀

We can write it as,

[tex] \longrightarrow \sf \qquad {x}^{2} + 10x - 39 = 0[/tex]

⠀

We have to find the two numbers a and b such that,

[tex] \longrightarrow \sf \qquad a + b = 10[/tex]

[tex] \longrightarrow \sf \qquad a b = 39[/tex]

⠀

Obviously, the two numbers are 3 and 13.

[tex] \longrightarrow \sf \qquad {x}^{2} - 3x + 13x - 39 = 0[/tex]

[tex]\longrightarrow \sf \qquad {x}(x - 3)+ 13(x - 3) = 0[/tex]

[tex]\longrightarrow \sf \qquad ({x}+ 13)(x - 3) = 0[/tex]

⠀

Whether, the value of x :

[tex]\longrightarrow \sf \qquad {x}+ 13 = 0[/tex]

[tex]\longrightarrow \pmb{\bf \qquad {x} = - 13}[/tex]

⠀

Whether, the value of x :

[tex]\longrightarrow \sf \qquad {x} - 3 = 0[/tex]

[tex]{\longrightarrow { \pmb{\bf \qquad {x} = 3}}}[/tex]

⠀

So,

Answer:

x=−24

Step-by-step explanation:

Let's solve your equation step-by-step.

1

2

x+2=

3

8

x−1

Step 1: Subtract 3/8x from both sides.

1

2

x+2−

3

8

x=

3

8

x−1−

3

8

x

1

8

x+2=−1

Step 2: Subtract 2 from both sides.

1

8

x+2−2=−1−2

1

8

x=−3

Step 3: Multiply both sides by 8.

8*(

1

8

x)=(8)*(−3)

x=−24

Answer:

x=−24

yes they are similar, one is 3/4ths of the other for all dimensions if you match it up right

The correct null hypothesis and alternate hypothesis will be

[tex]H_{0} =\mu=195\\H_{a} =\mu > 195[/tex]

It is given that

The mean price of a prom dress was $195. 00 with a standard deviation of $12. 0

Given that Alyssa thinks that her school is more fashion-conscious and that students spent more than $195.00.

She collected data from 20 people in her high school and found that the average price spent on a prom dress was $208.00.

Since she wants to check whether the sample mean [tex]\mu[/tex] is the same as the population mean  [tex]\mu[/tex] = 195

[tex]H_{0} =\mu=195\\H_{a} =\mu > 195[/tex]

(Right hypothesis  test)

Thus the correct null hypothesis and alternate hypothesis will be

[tex]H_{0} =\mu=195\\H_{a} =\mu > 195[/tex]

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Answer: OPTION A

Step-by-step explanation:

Answer: 7.5sqrt(2)

Step-by-step explanation: