Ivanna the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the other (not both). On Monday there were 3 clients who did Plan A and 2 who did Plan B. On Tuesday there were 5 clients who did Plan A and 6 who did Plan B. Ivanna trained her Monday clients for a total of 6 hours and her Tuesday clients for a total of 12 hours. How long does each of the workout plans last?

Step-by-step explanation:

It is important to know that the diagonals of a rhombus are PERPINDICUALR bisectors of each other .   Opposite angles are equal and adjacen angles sum to 180 degrees .

Then remember alternate angles are equal  and there are 180 degrees inside of a triangle .....then you should be able to solve these...here is the first one

Answer:

1. 0.66 and 2.4

2. the value of r would increase after the removal of the outlier.

Step-by-step explanation:

. An outlier is a deviation from other values in a random sample. The outlier is usually much smaller or larger than other values.the coordinates of the outliers are approximately 0.66 and 2.4

2. When the outlier is removed, the data will not be as much scattered as it was earlier. The regression line is moving up so it would go a bit further from 0.73. therefore since this 0.73, the value of r would increase after the removal of the outlier.

Answer:

Ummmm issa bout 20 feet

Step-by-step explanation: beetle juice

Answer:

20 feet

Step-by-step explanation:

Answer:

Step-by-step explanation:

The students cannot construct any triangles with the given side lengths because the sum of the two shorter sides of a triangle must always be greater than the longest side (i.e., the triangle inequality). However, in this case, 3 + 4 = 7, which is less than 8. Therefore, it is not possible to construct a triangle with sides of length 3, 4, and 8 inches.

So, the correct option is A - "They cannot construct any triangles with the given side lengths."

Answer:

is this full question

Step-by-step explanation:

there is no line segment or triangle

Answer:

\(-\frac{a^3-2a^2-2}{a^2}\)

Step-by-step explanation:

Answer:

if the temp was 12 degrees and then it was -5 the change was 17 degrees because 12-5= 17

Step-by-step explanation:

Answer:

f(-2) = 0.005

Step-by-step explanation:

f(x) = 1/8 x 5^x

f(-2) = When x in the function of f(x) is -2.

f(-2) = 1/8 x 5^-2

f(-2) = 1/8 x 0.04

f(-2) = 0.005

Answer:

8.06 ft or \(\sqrt{65}\)  ft

Step-by-step explanation:

Since Rebecca bought a square table and squares have equal sides, you can take the square root of the area of the table, which gives you \(\sqrt{65}\)  ft per side. This can be approximated to 8.06 ft.

Answer:

164

Step-by-step explanation:

10 x 3= 30 x 2 = 60

10 x 4 = 40 x 2 = 80

3 x 4 = 12 x 2 = 24

60 + 80 = 140 + 24 = 164

Answer:

164 inches

Step-by-step explanation:

Length: 10(3) = 30 inches

Width: 4(10) = 40 inches

Height: 4(3) = 12 inches

Appropriate Formula: 2(L+W+H)

SA = 2(30+40+12)

SA = 2(82)

SA = 164 inches

Answer: ( 5, 1/2)

Step-by-step explanation: x = 5, and y = 1/2

Answer:

Hope this helps and it is correct!

So, the percent it grew each year (assuming it grew a consatnt amount each year) is 17.4/13

why?

13/13 = 1 year. so we do 17.4/13 to see how much it grew eahc year..

so the answer rounded off 3 decimal places is 1.338

Step-by-step explanation:

The values of a and b using the factor theorem for the polynomial f(x), we set f(1) and f(-1) equal to zero. Solving the resulting system of equations, we find that a = 12 and b = -1.

To find the values of a and b using the factor theorem, we need to use the given factors (x - 1) and (x + 1) and the fact that they are roots of the polynomial f(x).
The factor theorem states that if (x - c) is a factor of a polynomial, then f(c) = 0. Therefore, we can set x = 1 and x = -1 in the polynomial f(x) to get two equations.
First, let's substitute x = 1 into f(x):
f(1) = (1)^3 + a(1)^2 + b(1) - 12
f(1) = 1 + a + b - 12
Next, let's substitute x = -1 into f(x):
f(-1) = (-1)^3 + a(-1)^2 + b(-1) - 12
f(-1) = -1 + a - b - 12
Since (x - 1) and (x + 1) are factors, f(1) and f(-1) must equal zero. Therefore, we can set the two equations equal to zero and solve for a and b:
1 + a + b - 12 = 0
-1 + a - b - 12 = 0
Rearraning the equations, we have:
a + b = 11
a - b = 13
Now, we can solve this system of equations. Adding the two equations, we get:
2a = 24
a = 12
Substituting the value of a into one of the equations, we find:
12 - b = 13
b = -1
Therefore, the values of a and b are 12 and -1 respectively.

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Answer:

a and d

Step-by-step explanation:

trust

Answer:

The company's profit made out of selling $6 per unit is $120

Step-by-step explanation:

You basically insert 6 for s and evaluate...

-10(6)^2+110(6)-180, first you multiply the exponents...

-10(36)+110(6)-180, then multiply...

-360+660-180, then simplify...

300-180

=120

Answer:

23

Step-by-step explanation:

1)  (10*0.5)+(-6*-3)

2) (5)+(18) (The 18 isn't negative because of the rule that states "A negative and a negative will become positive"

3) 5+18=23

Answer:

Step-by-step explanation:

1). Since, XM is the radius of the circle,

   Therefore, area of the circle = \(\pi r^{2}\)

                                                   = \(\pi (XM)^2\)

                                                   = \(\pi (12)^2\)

                                                   = 452.39 units²

2). Circumference of a circle = 2πr

                                                = 2π(XM)

                                                = 2π(12)

                                                = 24π

                                                = 75.40 units

3). By applying Pythagoras theorem in ΔYXM,

    YM² = XY² + XM²

    (43)²= (XY)² + (12)²

     1849 - 144 = (XY)²

     XY = 41.29 units

4). tan(∠M) = \(\frac{\text{Opposite side}}{\text{Adjacent side}}\)

                  = \(\frac{XY}{XM}\)

    m∠M = \(tan^{-1}(\frac{41.29}{12} )\)

              = 73.79°

5). Area of ΔXYM = \(\frac{1}{2}(\text{Base)}(\text{Height})\)

                             = \(\frac{1}{2}(41.29)(12)\)

                             = 247.74 square units

6). Area of the minor sector created by ΔXYM = \(\frac{\theta}{360}(\pi r^2)\)

                                                                             = \(\frac{73.79}{360}(452.39)\)

                                                                             = 92.73 units²

The equation to find Shanti's age is y = x - 3 where y is Shanti's age.

Given,

Shanti's sister Uri is Shanti's age plus 3 years.

Uri is 7 years old.

We need to write an equation to find Shanti's age.

We have,

Uri age = Shanti age + 3______(1)

Uri = 7 years old

Putting in (1)

We get,

Uri age = Shanti age + 3

7 = Shanti age + 3

Subtracting 3 on both sides.

7 - 3 = Shanti age + 3 - 3

4 = Shanti age

We see that Shanti's age is 4 years old.

If we have to write an equation then,

Consider Uri's age to be x and Shanti's age to be y.

Now,

Uri age = Shanti age + 3

x = y + 3

Subtracting 3 on both sides

x -3 = y

y = x - 3 is our equation.

Thus the equation to find Shanti's age is y = x - 3.

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Answer:

6

Step-by-step explanation:

The notation 3! means to find the factorial of 3. The factorial of an integer n = n * (n-1) * (n-2) *... all the way down to 1. So in this case, 3 factorial is:

3 * 2 * 1 = 6

The value of x when lines MN and PQ are equal is 7

Let take note of the properties of a quadrilateral, they include;

From the information given in the diagram, we have that;

Line MN = Line PQ

Also, the expressions are;

MN = 7x + 13

PQ = 10x - 8

Now, equate the values, we get;

7x + 13 = 10x - 8

collect the like terms

7x - 10x = -8 - 13

subtract the like terms

-3x = -21

Divide both sides by the coefficient of x, we get

x = 7

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Answer: ±3.60555

.

Step-by-step explanation:

The square root of 13 is expressed as √ 13 in the radical form and as 13½ in the exponent form. The square root of 13 rounded to 5 decimal places is ±3.60555.

Answer:

The correct answer is A. The shape formed by the four chairs is a square.

Step-by-step explanation:

A square is a figure whose 4 sides are exactly equal in length, and whose 4 interior angles are equal to 90 degrees each. Thus, if the distance between the chairs is exactly the same between them, it is understood that the "sides" of the figure are all the same. Thus, if all the internal angles of the figure are 90º, the figure that the chairs form is a square.

After considering all the given data we conclude that the probability of randomly choosing a specified point within the circle that comes in the red-shaded square is 0.06.

Now we can clearly evaluate the possible probability of selecting a point randomly inside the circle under the section of red shaded square and derive a formula
\(P = (d - 4r)^2 / d^2\)
Here,
d = diameter of the circle
r = square side length
For the given case,
d = 4 and r = 3.
Then,
P = (4 - 4×3)² / 4²
P = (4 - 12)²/ 4²
P = 0.06
Rounding to the nearest hundredth, P = 0.06.

Hence, the evaluated probability of selecting a point randomly inside a circle which falls in the red-shaded square is approximately 0.06.
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For given function function f(x)=-x+3-2, the domain is x > -3 and the range is y ≤ 2. So, correct option is D.

The function f(x)=-x+3-2 is a linear function in the form y=mx+b, where m is the slope and b is the y-intercept. In this case, the slope is -1 and the y-intercept is 1. Therefore, the graph of the function is a straight line that intersects the y-axis at (0,1) and has a slope of -1, meaning that it decreases by 1 for every 1 unit increase in x.

The domain of the function is the set of all possible values of x for which the function is defined. Since there are no restrictions on the value of x in the equation f(x)=-x+3-2, the domain is all real numbers, or (-∞, ∞).

The range of the function is the set of all possible values of y that the function can output. In this case, the lowest possible value of y occurs when x approaches positive infinity, and the highest possible value of y occurs when x approaches negative infinity. Therefore, the range is all real numbers less than or equal to 2, or y ≤ 2.

So, the domain is x ∈ (-∞, ∞) and the range is y ≤ 2. Alternatively, the domain can also be expressed as x > -3, since that is the minimum value of x at which the function is defined.

Correct option is D.

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Complete question is:

What are the domain and range of the function f(x)=-x+3-2?

A) domain: -3 -2

B) domain: -3 -3 range: y<-2

C) domain: x>-3 range:y>-2

D) domain : x>-3 range: y ≤ 2

You did not give any options but i will try to answer.

y < -lxl basically means that the value of y is less than the absolute value of x time - 1.

So if x = 2, then y is any number less than -2.

And if x is -3. then y is any number less than -3.

Happy to help!