PLEASE HELP !! what is the domain of f(x)=1/3x ?

Answer:

.75cm³

Step-by-step explanation:

To find the volume of a shape like this it is,

base×height×width.

In this case it is .5×.5×3=.75cm³

Answer:

3/4 or 0.75

Step-by-step explanation:

Length times width times height:

1/2 * 1/2 * 3

= 3/4

Answer:

third option

Step-by-step explanation:

Given

3 [tex]\left[\begin{array}{ccc}-2&5\\1&0\\\end{array}\right][/tex]

Multiply each element in the matrix by 3

= [tex]\left[\begin{array}{ccc}3(-2)&3(5)\\3(1)&3(0)\\\end{array}\right][/tex]

= [tex]\left[\begin{array}{ccc}-6&15\\3&0\\\end{array}\right][/tex]  

Answer:

C.

Step-by-step explanation:

Full question :

The Tasty Sub Shop Case:

A business entrepreneur uses simple linear regression analysis to predict the yearly revenue for a potential restaurant site on the basis of the number of residents living near the site. The entrepreneur then uses the prediction to assess the profitability of the potential restaurant site.

And

The QHIC Case:

The marketing department at Quality Home Improvement Center (QHIC) uses simple linear regression analysis to predict home upkeep expenditure on the basis of home value. Predictions of home upkeep expenditures are used to help determine which homes should be sent advertising brochures promoting QHIC’s products and services.

Discuss the difference in the type of prediction in both cases and provide rational of the reasons that these predictions were used.

Answer and explanation:

In the first case, The Tasty Sub Shop Case, the entrepreneur aims to utlilize the predicted values from his regression analysis in ascertaining profit of his potential business. He does this using the values from number of residents in the area(independent variables) to predict the revenue for his business(dependent variables). His predictions using the number of residents in the area are largely because the residents in the area are his target consumers and are the ones to buy food from his restaurant and increase his revenue.

In the other case, the marketing department in QHIC utilizes the predicted values in determining their customers who need to be aware of their products. They get the predicted values(home upkeep expenditure and dependent variable) by plotting their relationship with home value(independent variable) and then use predicted values of home upkeep expenditures in determining their customers who they will market their products to. They do this because predicting home upkeep expenditures will enable them determine what homes can afford or will need their products and services.

one utilizes his predictions at ascertaining profit while the other uses his predictions in determining potential customer base to market products to. The first case is making a revenue/ profitability prediction while the other is making a market prediction

Answer:

41 inches

Step-by-step explanation:

Let the point at the top of the door on the left be x

Wx + xH = 45

Let the point at the top of the door  on the right be c

Yc + cZ = 37

We know the door is

xH +  plus the width of the tile

The width of the tile is Yc

xH + Yc

On the right door

cZ +  the height of the tile

cZ + Wx

Add the two doors together

xH + Yc + cZ + Wx = 2 times the height of the door

Rewriting

xH +  Wx +  Yc + cZ = 2 times the height of the door

45+ 37 = 2 times the door height

82 = 2 times the door height

Divide by 2

41 = door height

Answer:

x = 5

Step-by-step explanation:

Notice that there is also a base 5 on the right hand side of the equation, therefore, let's move [tex]5^{x-4}[/tex] to the right by dividing both sides by it. and then re-writing the right hand side as 5 to a power:

[tex]2^{x-5}\,*\,5^{x-4}=5\\2^{x-5}=5/5^{x-4}\\2^{x-5}=5\,*\,5^{4-x}\\2^{x-5}=5^{5-x}[/tex]

Now apply log to both sides in order to lower the exponents (where the unknown resides):

[tex](x-5)\,log(2)=(5-x)\,log(5)[/tex]

Notice that when x = 5, this equation is true because it makes it the identity: 0 = 0

So, let's now examine what would be the solution of x is different from 5, and we can divide by (x - 5) both sides of the equation:

[tex]log(2)=\frac{5-x}{x-5} \,log(5)\\log(2)=-1\,\,log(5)\\log(2)=-log(5)[/tex]

which is an absurd because log(2) is [tex]\neq[/tex] from log(5)

Therefore our only solution is x=5

Answer:

if decimal  no solution

if multiply x =5

Step-by-step explanation:

If this is a decimal point

2^(x-5) . 5^(x-4) = 5

Rewriting .5 as 2 ^-1

2^(x-5)  2 ^ -1 ^(x-4) = 5

We know that a^ b^c = a^( b*c)

2^(x-5)  2 ^(-1*(x-4)) = 5

2^(x-5)  2 ^(-x+4) = 5

We know a^ b * a^ c = a^ ( b+c)

2^(x-5 +-x+4) = 5

2^(-1) = 5

This is not true so there is no solution

If it is multiply

2^(x-5)  * 5 ^(x-4) = 5

Divide each side by 5

2^(x-5)  * 5 ^(x-4) * 5^-1 = 5/5

We know that a^ b * a^c = a^ ( b+c)

2^(x-5)  * 5 ^(x-4 -1)  = 1

2^(x-5)  * 5 ^(x-5)  = 1

The exponents are the same, so we can multiply the bases

a^b * c*b = (ac) ^b

(2*5) ^ (x-5) = 1

10^ (x-5) = 1

We know that 1 = 10^0

10^ (x-5) = 10 ^0

The bases are the same so the exponents are the same

x-5 = 0

x=5

Answer:

Step-by-step explanation:

Since the triangle is a right angled triangle we can use the Pythagoras theorem to find the missing side

Using the Pythagoras theorem

That's

[tex] {a}^{2} = {b}^{2} + {c}^{2} [/tex]

From the question

x is the hypotenuse or the longest side of the triangle

Substituting the values into the above formula we have

[tex] {x}^{2} = {9}^{2} + {7}^{2} [/tex]

[tex] {x}^{2} = 81 + 49[/tex]

[tex] {x}^{2} = 130[/tex]

Find the square root of both sides

We have the final answer as

Hope this helps you

Answer:  see proof below

Step-by-step explanation:

Use the following when solving the proof...

Double Angle Identity: cos2A = 1 - 2sin²B

Pythagorean Identity: cos²A + sin²A = 1

note that A can be replaced with B

Proof from LHS → RHS

Given:                            cos²A + sin²A · cos2B

Double Angle Identity: cos²A + sin²A(1 - 2sin²B)

Distribute:                      cos²A + sin²A - 2sin²A·sin²B

Pythagorean Identity:                        1 - 2sin²A·sin²B

Pythagorean Identity:   cos²B + sin²B - 2sin²A·sin²B

Factor:                           cos²A + sin²B(1 - 2sin²A)

Double Angle Identity: cos²B + sin²B · cos2A

cos²B + sin²B · cos2A = cos²B + sin²B · cos2A  [tex]\checkmark[/tex]

Answer:

Step-by-step explanation:

First of all AD is 9 units long. Anything less than or equal to 9 is not an answer because the scale factor is greater than 1. That means that anything over 9 will work.

So the answer must be 12 or 15 from those answers given.

Answer:

Answer

Step-by-step explanation:

The answer is 12 AND 15

D and E

Answer:

6×4p=24p

15a÷3=5a

3t×8y=24ty

24ef÷12e=2f

-4fx-5px-3 =-x(4f+5p)-3

-9abc÷3a=-3bc

inverse of a matrix A is defined as [tex] AA^{-1}=I[/tex]

where I is the identity matrix of the respective order.

Answer:

a-2b= -1.6x-2.0

Step-by-step explanation:

[tex]a=1.4-2x\\b=-0.2x+1.7\\a-2b= (1.4-2x)-2(-0.2x+1.7)\\a-2b= 1.4-2x+0.4x-3.4\\a-2b=-1.6x-2.0\\[/tex]

{By, substituting the values of a and b in a-2b , we can find the value of a-2b}

Answer:

Option B

Step-by-step explanation:

You can tell this because it has the largest difference from the second highest listed value.

Answer:

Answer Is D

Step-by-step explanation:

Answer:

she did not randomly select enough students

Step-by-step explanation:

there is too much of an area for mistakes in this experiment as the teacher could unknowingly have a bias in terms of choosing a female student.

Answer:

x-3 is cancelled and just one remains in numerator.

Answer:

Sequence a) Pattern: (-2) -9, -11, -13, -15, -17

Sequence b) Pattern: (-5) -15, -20, -25, -30, -35

Sequence c) Pattern: (-6) -13, -19, -25, -31, -37

Hope this helps!

Hi there! Hopefully this helps!

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A (Subtracting by 2): -9, -11, -13, -15, -17.

B(Subtracting by 5): -15, -20, 25, -30, -35

C(Subtracting by 6): -13, -19, -25, -31, -37

Answer:

x≥3

Step-by-step explanation:

7x-28≥-7

Add 28 to each side

7x-28+28≥-7+28

7x≥21

Divide by 7

7x/7≥21/7

x≥3

Answer:

7x-28≥-7

7x≥21

x≥3

Answer:

7³

Step-by-step explanation:

Using PEMDAS, we see that E (which stands for exponents) comes before M (which stands for multiplication) and A (which stands for addition) so the first operation you should do is 7³.

Answer:

169.74

Step-by-step explanation:

this problem is like a triangle, the sun, mars, and earth are the three points, so you just use a^2 + b^2 =  c^2 so basically

93^2 + 142^2 = c^2

8649 + 20164 = 28813

28813 square root = 169.74

Answer:

Step-by-step explanation:

sin² Θ csc² Θ =sin² Θ + cos² Θ

sin² Θ 1/sin² Θ = sin² Θ + cos² Θ

1 = sin² Θ + cos ² Θ (this is a trig identity)

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

x = 1

First: distribute 3(x+1)= -2(x-1)+6

3x+3=2(x-1)+6

Then you have too distribute again

3x+3=2(x-1)+6

3x+3= -2x+2+6

Third: add the numbers

3x+3= -2x+2+6

3x+3= -2x+8

Fourth: add the same term to both sides of the equation

3x+3= -2x+8

3x+3-3= -2x+8-3

Fifth: Simplify 3x= -2x+5

Sixth: add same term to both sides of the equation

3x= -2x+5

3x+2x= -2x+5+2x

Seventh: simplify again

5x =5

Eigth: divide both sides of the equation by the same term

5x=5

5x/5 =5/5

Last: Simplify

X=1

Answer:

7.9 * 10 ^-6

Step-by-step explanation:

Move the decimal 6 places to the left so there is one number before the decimal

0.0000079

7.9

The exponent is -6  ( negative because we moved it to the left)

7.9 * 10 ^-6

Answer:

Hey there!

7.9 × 10-6 is your answer.

Hope this helps :)

Answer:

y=4

Step-by-step explanation:

An exponential function of the form  has a horizontal asymptote of .

The given function is .

The graph of the given function is shown in the attachment.

From the graph the horizontal asymptote is

Answer:

m∠A = 62°

m∠C = 28°

AC = 17 units

Step-by-step explanation:

In the given triangle ABC,

m∠B = 90°, Cos(C) = [tex]\frac{15}{17}[/tex] and AB = 16 units

Since, Cos(C) = [tex]\frac{\text{Corresponding side}}{\text{Hypotenuse}}[/tex]

Cos(C) = [tex]\frac{\text{Corresponding side}}{\text{Hypotenuse}}=\frac{15}{17}[/tex]

[tex]\text{C}=\text{Cos}^{-1}(\frac{15}{17})[/tex]

m∠C = 28.07°

m∠C ≈ 28°

Therefore, side BC = 15 units and AC = 17 units

Now we apply Sine rule in the given triangle.

Sin(A) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

         = [tex]\frac{\text{BC}}{\text{AC}}[/tex]

         = [tex]\frac{15}{17}[/tex]

A = [tex]\text{Sin}^{-1}(\frac{15}{17} )[/tex]

A = 61.93°

m∠A = 62°

Answer:

Step-by-step explanation:

√324=18

√576=24

√704=26.532....

Answer:

a. 8.5 in.

b. 34 in

c. x = 1/39 x^2.

Step-by-step explanation:

Part a.

x = 1/34 y^2

y^2 = 34x

Comparing with y^2 = 4px where p is the focus:

4p = 34

p = 8.5 in.

Part b.

The diameter = 4p = 34 in.

Part c.

Diameter = 4p = 34 + 5 = 39 in

The new equation is x = 1/39 x^2.

Answer:

The correct statements are b, c and e.

Step-by-step explanation:

Consider the dot plot for Noah and Jada's score in the trivia game.

From the dot plot it is quite clear that the data form a bell-shaped curved or a normal curve.

For the normal distribution:

Mean = Median = Mode

Noah's mean score = 5

Jada's mean score = 3

The standard deviation of a data set is the measure of dispersion of the observations of that data set from their mean.

On closely studying the graphs we can see that the Noah and Jada's scores are almost at a same distance from the mean, i.e. the spread of Noah's score is same as the spread of Jada's score.

So, the correct statements are:

b. The standard deviation of Noah's scores is equal to the standard deviation of Jada's scores.

c. The mean of Noah's scores is greater than the mean of Jada's scores.

e. Using only Noah's scores, the mean is equal to the median

Answer:

14 hours 20 minutes

Step-by-step explanation:

→ Convert 2 hours and 40 minutes into minutes

2 hours + 40 minutes ⇒ 2 hours = 120 minutes + 40 minutes ⇒ 120 + 40 ⇒ 160 minutes

→ Convert 11 hours and 40 minutes into minutes

11 hours + 40 minutes ⇒ 11 hours = 660 minutes + 40 minutes ⇒ 660 + 40 ⇒ 700 minutes

→ Add the total minutes together

700 minutes + 160 minutes = 860 minutes

→ Convert 860 minutes into hours

860 minutes = 14 hours + 20 minutes

Answer:

guys its 8cm its the most logic answer because 8x 4 is 32, correct me if im wrong

Step-by-step explanation:

Answer:

a) a= 60

c) a= 135

d) a= 40

f) a= 115

g) a= 37

i) a= 130

Step-by-step explanation:

If you see a little square at the angle, this means that the angle is a right angle, which means that it is 90°.

Let's look at Q5a.

a) a° +30°= 90°

a°= 90° -30°

a°= 60°

a=60

Questions 5b has the same concept.

The sum of the angles on a straight line is 180°. The abbreviation used for this is (adj. ∠s on a str. line).

Let's look at Q5c.

c) a° +45°= 180° (adj. ∠s on a str. line)

a°= 180° -45°

a°= 135°

a= 135

Question 5d uses the same concept too.

Let's look at Q5d.

d) 90° +50° +a°= 180° (adj. ∠s on a str. line)

a°= 180° -90° -50°

a°= 40°

a= 40

Vertically opposite angles are equal. The abbreviation written for this is (vert. opp. ∠s).

Use this for questions 5f and 5g.

f) a°= 115° (vert. opp. ∠s)

a= 115

g) a°= 37°

a= 37

The sum of angles on a point is 360°. This will help you solve questions 5h and 5i.

i) 140° +90° +a° = 360° (∠s at a point)

a° +230°= 360°

a°= 360° -230°

a°= 130°

a= 130