Sophia wants to foster creativity in her organization. She finds an online training program that claims to teach people how to approach workplace challenges in a more creative way. Sophia is skeptical but decides to give it a try. She randomly selects 40 employees and randomly assigns half of them to complete the online training program (n

Answer:

V ≈ 78.54

Step-by-step explanation:

Answer:

22 and 7

Step-by-step explanation:

Let x and y be the two numbers we are looking for:

The statement “their sum is 29” means x + y = 29

The statement “their difference is 15” means x - y = 15

we get this system:

x + y = 29 (1)

x - y = 15   (2)

Let’s solve it :

(1) + (2) ⇒ x + y + x - y = 29 + 15 ⇒ 2x = 44 ⇒ x = 44/2 = 22

Now we replace x by 22 in equation (1) :

22 + y = 29  ⇒ y = 29 - 22 = 7

Answer:

-15

Step-by-step explanation:

-15

Hope it helps.

Do comment if you have any query.

Answer:

390

[tex]\frac{26x30}{2} =390[/tex]

Hope This Helps! :)

Answer:

45.2pi inches

Step-by-step explanation:

C=2×pi×r

since the answers already have pi we don't need to multiply it

C=2×22.6 = 45.2pi inches

Answer:

A. 22.6π

Step-by-step explanation:

Given:

22.6 inches across = diameter

What we need to find is how much ribbon do we need, so we use the formula:

C = 2πr

C = Circumference

r = radius = half diameter

Since we know the diameter, we do half of it to get the radius

22.6 ÷ 2 = 11.3

radius = 11

Now we substitute this into the formula:

C = 2πr

Substitute radius into formula

C = 2π(11.3)

Multiply 2 and 11.3

C = 22.6π

Answer:

0

Step-by-step explanation:

[tex]slope \: of \: a \: line = \frac{y2 - y1}{x2 - x1} = \frac{b - b}{c - a} = \frac{0}{c - a} = 0[/tex]

Answer:

$32

Step-by-step explanation:

Step-by-step explanation:

We are trying to find $40 on sale for 20$ off.

40*20/100

40*0.2

You save=$8

40-8

Final Price=$32

Answer:

First, add the two mixed numbers together.

[tex]1 + 2 = 3[/tex]

[tex]4/7 + 3/14 = 11/14[/tex]

Combine the equation and number.

 [tex]3 + 11/14 = 3 \frac{11}{14}[/tex]

  [tex]3\frac{11}{14} + 1/2 =[/tex] 4 2/7

Therefore, the answer is 1/2

Answer:

x -2    y + 2

Step-by-step explanation:

ps: This is a quadratic function of equation

[tex]f(x) = - x {}^{2} + 4[/tex]

Answer:

48 by 10 because

[tex]480\div 10 = 48[/tex]

therefore the wall dimensions are 48 by 10

Answer:

Step-by-step explanation:

Let x and y be the large (x) and small (y) vases the potter makes in one week.

We are told that the large and small vases require 6 hours for each large(x) and 1.5 hours for each small (y) vase.  The combination of large and small vases made in one week thus requires a total time of:

          6x + 1.5y = total hours/week

We are told that the potter works 30 hours per week, so:

        6x + 1.5y = 30 hours

We also learn that she needs to make at least 6 vases in a week, so:

        x + y => 6

Plot the two equations:

6x + 1.5y = 30, and

x + y => 6

This will produce the attached grap, Vases1.  The inequality appears as the shaded area in the upper area.  Any point in the shaded area satisfies the inequality of x + y => 6.  The x and y intercepts are at (0,6) and (6,0), representing either all large (x) or small vases (y).

The lines intersect at (4.67,1.33).  This represents a fictional combination of 4.67 large and 1.33 small vases.  This results in 6 vases (4.67 + 1.33) that require a total of 30 hours to make (6*4.67 + 1.5*1.33) = 30 hours.  If you want to select whole number answers, they appear at (0,6), (2,4), (4,2), and (6,0).  (x,y or large,small).  All combinations result in 6 vases, but eould require less than the 30 hours of time available.  Any whole number combination in the area below the line 6x + 1.5y = 30, but above the line x+y =>6 are valid, such as (4,4).  This area is shown in Vases2.  The valid area for making choices has the darkest shade, where the two inequalities are both satisfied.

Answer:

C. (x - 1) (x^2 + x +1 )

Step-by-step explanation:

    x^2       +x       +1  

x   x^3     x^2     x

-1  -x^2       -x       -1

If you multiply it out it equals the answer

Answer: Answer X

Step-by-step explanation:

In order for a graph to represent a function, it must pass the vertical line test. This means, if you were to draw a vertical line at ANY point along the graph, it should not intersect more than one point. For answers W, Y, and Z, they clearly fail the vertical line test. Answer X is the only graph that passes the vertical line test.

Answer:

5 units

Step-by-step explanation:

Let's assume point (5,1) to be C

according to the picture we know AC= 3 and BC=4

Applying pythagorean theorem: a^2+b^2=c^2

(AC)^2+(BC)^2=(AB)^2

3^2+4^2=(AB)^2

9+16= (AB)^2

AB^2=25

AB=5

Answer:

[C] [tex]\frac{\pi }{2}\;radians[/tex]

Step-by-step explanation:

The ray in the terminal position, after the rotation is call the "terminal side of the angle."

Note that quadrant of the unit circle of any given angle the radians would be in:

Quad I → 0 < θ < pi/2

Quad II → pi/2 < θ < pi

Quad III → pi < θ < 3pi/2

Quad IV → 3pi/2 < θ < 2pi

Hence, Answer is [C]  pi/2 radians

~lenvy~

Answer:

1. the, from, although, won't he, ourselves

2. The father said to his son that he was happy with him. My laptop has been stolen by somebody. He wants to die in the village where he was born.

3. was, worked

Step-by-step explanation:

Hope this helps!

The expression a/b * c/d is an illustration of number types

The expression is given as:

a/b * c/d

Next, we test the given numbers

(a) 8.96

Express 8.96 as a fraction

8.96 = 896/100

Express the numerator and the denominator as products

8.96 = (224 * 4)/(50* 2)

Split the fraction

8.96 = 224/50 * 4/2

The above equation shows that 8.96 can be written in the form a/b * c/d.

Hence, the truth value of 8.96 is yes

(b) 5√6

Express 5√6 as a product expression

5√6 = 5 * √6

Evaluate the product

5√6 = 12.2474.....

The result of 5√6 is a non-terminating decimal

Hence, the truth value of 5√6 is no

(c) 15

Express 15 as a fraction

15 = 90/6

Express the numerator and the denominator as products

15 = (9 * 10)/(3 * 2)

Split the fraction

15 = 9/3 * 10/2

The above equation shows that 15 can be written in the form a/b * c/d.

Hence, the truth value of 15 is yes

(d) π/4

Express π as 22/7

π/4 = 22/7/4

Rewrite the expression as products

π/4 = 22/7 * 1/4

The above equation shows that π/4 can be written in the form a/b * c/d.

Hence, the truth value of π/4 is yes

Read more about numbers at:

https://brainly.com/question/24670740

Answer:

x=3

Step-by-step explanation:

The equation is written in the form ax2+bx+c. As you can see, a=1, b=-6 and c=2. The axis of symmetry is worked out by x=−b2a.

−(−6)2(1) = 62=3

Substituted this value of x back into the equation to find the y coordinate.

y=(3)2−6(3)+2

y=9−18+2

y=−7q

So the vertex of the line is at (3,-7)

If all of their dresses are fit for the kids, the possible way to dress them is 3*4*5=60

But one dress is out grown for the third child. Hence, the combination that are not possible.

3*4*1=12

So total number of possible ways are :

3*4*5 - 3*4*1=48

Hence the answer is option D.

The $5000 will be taxable amount at 10% of Latonya's salary, and $14000 will be taxable amount at 28% of Latonya's salary.

It is defined as the tax rate applied on the solely earned money by a single entity.

Latonya salary per year = $50,000

If Latonya's salary will be taxed at the 10% rate, then she needs to pay tax:

[tex]= $50,000\times10\%[/tex]

[tex]=50000\times \frac{10}{100}[/tex]

[tex]= \$ 5000[/tex]

If Latonya's salary will be taxed at the 28% rate, then she needs to pay tax:

[tex]= \$50,000\times28\%[/tex]

[tex]=50000\times \frac{28}{100}[/tex]

[tex]= \$14000[/tex]

Thus, the $5000 will be taxable amount at 10% of Latonya's salary, and $14000 will be taxable amount at 28% of Latonya's salary.

Learn more about the income tax here:

brainly.com/question/17075354

Answer:

[tex]x = 12[/tex]

Step-by-step explanation:

1) Set up an equation that involves all of the values; the price and kg of each duck and chicken equating to 206.40.

[tex]8.50(x) + 3.60(2x + 5) = 206.40[/tex]

[tex]8.50x + 7.2x + 18 = 206.40[/tex]

2) Solve it.

[tex]15.7x + 18 = 206.40[/tex]

[tex]15.7x = 206.40 - 18[/tex]

[tex]15.7x = 188.4[/tex]

[tex]x = \frac{188.4}{15.7}[/tex]

[tex]x = 12[/tex]

Answer:

C

Step-by-step explanation:

Answer:

6.7 per unit

Step-by-step explanation:

Answer:

there are 5

Step-by-step explanation:

Explanation:

22 = 2*11

18 = 2*9

We see that 2 is the GCF of 22 and 18. It's the largest shared factor.

Now use the distributive property to say the following

22 + 18

2*11 + 2*9

2(11+9)

To check the answer, multiply the outer 2 by each term inside to end up with 22+18 again.

Answer:

if that statement is true, then DE=ST, and ST=4 so your answer should be DE=4

Explanation:

you can tell that they are even from looking at the first statement, it states DEF=STU, emphasizing on the DE=ST part, it gives your the answer right there because ST=4

Answer:

the answer is C.

Step-by-step explanation:

I know this because i am smart...
And katie is going to delete this so id.k why im even trying but #yolo

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TOri

4/52 = 1/13

hope it helps...!!!