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3 years ago

Need help please...............................

Mathematics

1 answer:

Hunter-Best [27]3 years ago

7 0

Note that the side adjacent to angle XYZ is given (6 cm) and that the hypo is also given (15 cm). Thus, cos XYZ = adj / hyp = 6 cm / 15 cm = 2/5 = 0.4.

XYZ is then arc cos 0.4. Use the arccos function on your calculator to determine XYZ and give XYZ in both degrees and radians.

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Why is 1/6 greater than 1/8 but less than 1/3?

raketka [301]

Because the greater the denominator, the smaller the number is.
1/6 = .166666667
1/8 = .125
and 1/3 = .333333333333333333

8 0

3 years ago

Inverse of f(x)= x^2 -1, x is greater than or equal to 0

romanna [79]

$f(x)=x^2-1,\ x\geq0\\\\y=x^2-1\\\\\text{replace x with y and y with x}\\\\x=y^2-1\\\\\text{solve for y}\\\\y^2-1=x\ \ \ \ |+1\\\\y^2=x+1\to y=\sqrt{x+1}\\\\Answer:\ \boxed{f^{-1}(x)=\sqrt{x+1}}$

3 0

4 years ago

The function f(x) is defined as follows:

Leno4ka [110]

Answer:

$f(-3)=-8\\f(2)=4$

Step-by-step explanation:

In order to find the values of a piecewise function, we first have to determine which piece we are using.

For $f(-3)$ , x=-3. This means that we need to use $3x+1$ as $-3\leq 0$

$f(-3)=3(-3)+1\\\\f(-3)=-9+1\\\\f(-3)=-8$

For $f(2)$ , x=2. This means that we need to use $f(x)=4$ as x is equal to 2.

$f(x)=4$

6 0

4 years ago

I NEED THIS ASAP!!!!! LOOK AT PICTURE

Sergio039 [100]

Answer:

measure of angle YVZ=56°

Step-by-step explanation:

angle WVY and angle YVZ form a right angle, meaning they add to 90 degrees.

We can make an equation out of this:

2x+3x+5=90

solve for x

5x+5=90

5x=85

x=17

substitute x back into the expression for angle YVZ because that's the measure we're looking for

angle YVZ=3(17)+5=56

3 0

3 years ago

Read 2 more answers

You are thinking about opening up a Starbucks in your area but what to know if it is a good investment. How much money do Starbu

velikii [3]

Answer:

The estimated multiple regression equation is ^Y= -49.17 + 15.03X₁ + 0.17X₂ + 12.23X₃ + 14.29X₄ -2.96X₅

Step-by-step explanation:

Hello!

To estimate a model to predict if it is a good investment to open a Starbucks.

Using the information of 27 Starbucks stores, and given the variables:

Y: Annual net sales ($1000)

X₁: Monthly rent ($1000)

X₂: Inventory expenses ($1000)

X₃: Advertising expenses ($1000)

X₄: Monthly sales ($1000)

X₅: Number of competitor stores in the area.

The multiple regression model is

Y= β₀ + β₁X₁ + β₂X₂ + β₃X₃ + β₄X₄ + β₅X₅ + ε

Using a statistics software I've estimated the regression equation:

^Y= -49.17 + 15.03X₁ + 0.17X₂ + 12.23X₃ + 14.29X₄ -2.96X₅

Where:

b₀: -49.17 thousand dollars represents the estimated average annual net sales when the monthly rent, the inventory expenses, the advertising expenses, the monthly sales and the number of competitors in the area are zero.

b₁: 15.03 represents the variation in the estimated average annual sales when the monthly rent increases $1000 and all other variables remain constant.

b₂: 0.17 represents the variation in the estimated average annual sales when the inventory expenses increase $1000 and all other variables remain constant.

b₃: 12.23 represents the variation in the estimated average annual sales when the advertisement expenses increase $1000 and all other variables remain constant.

b₄: 14.29 represents the variation in the estimated average annual sales when the monthly sales increase $1000 and all other variables remain constant.

b₅: -2.96 represents the variation in the estimated average annual sales when the number of competitors in the area increase in one unit and all other variables remain constant.

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I hope this helps!

7 0

3 years ago