Find the domain values of the function f(x)= 2x + 7 when the given range are {1, -1, 3}.

The sample size would be about 1,000.

acc to our question-

hence,The sample size would be about 1,000.

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AnThe volume of prism is equal to volume of pyramid.

What is volume of prism?

The volume of a prism is defined as the total space occupied by the three-dimensional object.

The volume of a Rectangular Prism = lbh cubic units.

Where

l = Base width of a rectangular prism

b = Base length of a rectangular prism

h = height of a rectangular prism

What is volume of pyramid?

A triangular pyramid has a base in triangle shape. As we know, the area of a triangle;

A = 1/2 b x h

where b is the base of the triangle and h is the altitude.

But we have rectangular pyramid,

volume of rectangular pyramid = 1/3lbh

Given,

The length of prism= 3a

breadth = 2b

height = c

Therefore, volume of prism = 3a(2b)(c)

= 6abc

Similarly, length of pyramid = a

breath = b

height = 18c

volume of pyramid = 1/3(a)(b)(18)c

=6abc, which is equal to volume of prism.

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The null we are interested in testing here is that the coefficients on age and age^2 are jointly zero. So, we would need to run a restricted version of the regression above where these two variables are omitted and calculate.

Given:

what other regression do you need to run to test the null hypothesis that, holding other factors fixed, age has no effect on sleeping.

The null we are interested in testing here is that the coefficients on age and age^2 are jointly zero.

[tex]F = R^2_{ur}-R^2_r / q / 1-R^2_{ur} (n-k-1)[/tex]

Therefore the null we are interested in testing here is that the coefficients on age and age^2 are jointly zero. So, we would need to run a restricted version of the regression above where these two variables are omitted and calculate.

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Image has the answer for part A.

Part B)

47.9 degrees

Step-by-step explanation:

Pythagoras: a^2+b^2=c^2

36²+36²=C²

√2592=C

C=50.9cm

Used Trigonometry: SOH CAH TOA

Tan=Opposite/Adjacent

Tan=60/50.9

The angle stick makes when it meets the base: Tan^-1(60/50.9)

=49.7˚

The solution is, The angle stick makes when it meets the base is, 47.9 degrees.

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.

here, we have,

Pythagoras: a^2+b^2=c^2

36²+36²=C²

√2592=C

C=50.9cm

Used Trigonometry: SOH CAH TOA

Tan=Opposite/Adjacent

Tan=60/50.9

The angle stick makes when it meets the base:

Tan^-1(60/50.9)

=49.7˚

Hence, The solution is, The angle stick makes when it meets the base is, 47.9 degrees.

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Answer:

Step-by-step explanation:75mph

Answer: f(9)=21

Step-by-step explanation:

replace x with 9 i think for 2(9)+3 then solve lol

The kilograms equivalent of the given pound measurement as required in the task content is; 0.8505 kg.

It follows from the task content that the equivalent measure of 15/8 y pounds is to be determined according to the given conversion factor.

Since it is given that; 50 lbs = 22.68 kg.

It follows by proportion that; 15/8 pounds is equivalent to; ( (15/8) × 22.68 ) / 50

= 0.8505 kilograms.

Therefore, the required equivalent kilogram measure is; 0.8505 kilograms.

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As we already found, the probability of winning for any selection is 1/3 = 0.333.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of samples

a) Let's suppose that player 1 chooses rock, and the selection of player 2 can be thought of as random.

If player 2 randomly selects rock, the result of the game is a draw.

if player 2 randomly selects papers, player 1 loses.

if player 2 randomly selects scissors, player 1 win.

Then we have 3 options with the same probability, that will be:

1/3

This is, the probability of winning is equal to the quotient between the number of outcomes that make player one win (1, in this case, scissors) and the total number of outcomes (3) = 1/3

the probability of a draw is equal to the quotient between the number of outcomes that make a draw (1, in this case, rock) and the total number of outcomes (3) = 1/3

The probability of losing is equal to the quotient between the number of outcomes that make player one lose (1, in this case, paper) and the total number of outcomes (3) = 1/3

The complete question is given below.

2. Almost everyone has played the rock-paper-scissors game at some point. Two players face each

other and, at the count of 3, make a fist (rock), an extended hand, palm side down (paper), or a

"V" with the index finger and middle fingers (scissors). The winner is determined by these rules:

rock smashes scissors, paper covers rock, and scissors cut paper. If both players choose the

same object, then the game is a tie. Suppose that Player 1 and Player 2 are both equally likely to

Choose rock, paper, or scissors.

a) Give a probability model for this change process.

b) Find the probability that Player 1 wins the game on the first throw.

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The total amount in his savings account after 5 years will be $10,075 if the annual simple interest rate is 0.15%.

According to the question,

We have the following information:

Dave opens a savings account that has an annual simple interest rate of 0.15%. He initially deposits $10,000 and the time given is 5 years.

We know that following formula is used to find simple interest:

Principal*rate*time/100

(10000*0.15*5)/100

100*0.15*5

$75

Now, the total amount will be the sum of interest and the principal amount:

10000+75

$10,075

Hence, the total amount in his savings account after 5 years will be $10,075 if the annual simple interest rate is 0.15%.

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The expression for the perimeter of the rectangle is 34u - 10 centimeters.

Perimeter of the rectangle:

Perimeter is known as the total length or distance of its boundary on all sides.

The formula that is used to calculate the perimeter of a rectangle is, perimeter of a rectangle = 2(l + w),

where 'l' is the length and

'w' is the width of the rectangle.

Given,

The width of the rectangle is (10u + 3) and the length of the rectangle is (7u - 8)

Now, we need to find the perimeter of the rectangle.

We know that the formula of the rectangle is

Perimeter = 2(l + w)

where l refers the length that is (7u - 8) and w refers the width that is (10u + 3).

Now, we have to apply these values on the formula, then we get,

=> Perimeter = 2((7u -8) + (10u + 3)

When we simplify the equation, then we get,

=> Perimeter = 2((10u + 7u) + (-8 +3))

=> Perimeter = 2(17u - 5)

=> Perimeter = 34u - 10

Therefore, the perimeter of the rectangle is 34u - 10 centimeters.

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The equation of the perpendicular line is y = (1/8)x + 15/4.

We are given the equation of a straight line. The equation is y = -8x - 3. The slope of the given line is -8. We need to find the equation of the straight line that is perpendicular to the given line and passes through the coordinates (2, 4).

The slope of the perpendicular line will be the negative reciprocal of the slope of the given line. Let the slope of the perpendicular line be represented by the variable "m".

m = -1/(-8) = 1/8

The equation of the perpendicular line using the slope-point form can be written as given below.

y = mx + c

y = (1/8)x + c

The line passes through the point (2, 4).

4 = (1/8)2 + c

4 = (1/4) + c

c = 4 - (1/4)

c = 15/4

Hence, the equation of the perpendicular line is y = (1/8)x + 15/4.

The complete question is given below.

Write an equation of the line that passes through point p and is perpendicular to the line with the given equation.

P (2, 4)

y = -8x - 3

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A computer password is required to be 7 characters long.

Note the requirements:

   Repetition of letter or digit is not allowed.

   The order of the letters and digits matters.

Because of that, permutation would be the most suitable way to count the number of possibilities.

There are [tex]P(26,3) = \frac{26!}{(26-3)!} = 26x25x24 = 15,600[/tex] ways to arrange three out of distinct letters (without replacement.)

Similarly, there are [tex]P(10,4) = \frac{10!}{(10-4)!} = 10x9x8x7 = 5,040[/tex] ways to arrange four out of distinct numbers (also without replacement.)

Therefore, there are 15,600 possibilities for the three-letter section of this password, and 5,040 possibilities for the four-digit section. What if these two parts are combined?

Consider: if the first three letters of the password were fixed, then there would be 5,040 possibilities. However, if any of the first three letters was changed, the result would be another 5,040 possibilities, all of which are different from the previous 5,400 possibilities. These two three-letter sections along will give 2 x 5,400 possibilities. Since there are 15,600 three-letter sections like that, there would be 15,600 x 5,400 = 78,624,000 possible passwords in total. That gives the number of possible passwords that satisfy these requirements.

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The solution by Elimination Method of the given equations -x+9y=35 and 2x+2y=10 is given by, x=1,y=4.

Given the equations are,

-x+9y = 35 .............(i)

2x+2y = 10 ...........(ii)

From the equation (ii) we get,

2x+2y = 10

x+y = 5 ...............(iii)

Adding (i) and (iii) we get,

-x+9y+x+y = 35+5

10y = 40

y = 40/10

y = 4

Substituting the value of y in (i) we get,

-x+9*4 = 35

-x+36 = 35

-x = 35-36

-x = -1

x = 1

Hence the solution of the equations is, x=1,y=4.

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Answer:

Step-by-step explanation:

Firstly, you would need to have someone teach you unless you don't then I'm sure there are courses online and to be excellent at it, practice a lot of questions and do diagnostic questions for each topic.

Answer:

Area of a triangle

Step-by-step explanation:

Area of a triangle = (1/2)(b)(h)

Answer: It is used to find the area of a triangle

Answer:

24

Step-by-step explanation:

LCM 8 ,6 ,12 =24

by PRIME factorization

8  =   2 x 2 x 2

6  =   2              x 3

12 = 2  x 2       x 3

       2 x 2 x 2 x  3  =24

Answer:

In order to complete the equation we need to use this method :      

(Exponential Decay btw if you didnt know is when a population or group of something is declining, and the amount that decreases is proportional to the size of the population)

Now that we know that Time for Some Exponential Decay fun :D *sarcasm* :p

The farmer purchased a tractor for 50,000 so you start with that:

Remaining Amount = 50,000(1-r)^t

Decay rate would be 0.10 because you have to CONVERT 10% to decimal form.

Remaining Amount = 50,000(1-0.10)^t

Now time period would be 7 of course:

Remaining Amount = 50,000(1-0.10)^7

TIME TO SOLVE:

Answer 23914.845 BUT you have to round to nearest cent so then the answer would be:

Step-by-step explanation:

I learned this in my math class. ~Good------Night

Answer:

$23,914.85 (nearest cent).

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{9 cm}\underline{General form of an Exponential Function}\\\\$y=ab^x$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the initial value ($y$-intercept). \\ \phantom{ww}$\bullet$ $b$ is the base (growth/decay factor) in decimal form.\\\end{minipage}}[/tex]

The given scenario can be modelled as an exponential equation.

The initial value (a) is the purchase cost of the tractor.

As the tractor depreciates by 10% each year, the value of the tractor is 90% of the previous year's value. Therefore, the base (b) is 0.9.

Therefore, the equation is:

[tex]\boxed{y=50000(0.9)^x}[/tex]

where:

To find the value of the tractor in 7 years, substitute x = 7 into the equation:

[tex]\implies y=50000(0.9)^7[/tex]

[tex]\implies y=50000 \times 0.4782969[/tex]

[tex]\implies y=23914.845[/tex]

Therefore, the value of the tractor in 7 years is $23,914.85 (nearest cent).

Answer:

7 1/4

Step-by-step explanation:

convert to improper fraction 3 5/8 = 3x8/8 + 5/8 = 24+5/8 =29/8

divide 29/8 divided by 1/2 = 58/8

simplify  7 1/4

Hope this helps! <3

Answer:

80y-24z

Step-by-step explanation:

Answer:$22.35

Step-by-step explanation:

A situation in which the person can afford 9 t-shirts and one 1-sweatshirts, but not 3 T-shirts and 8 sweatshirts are when the value of the gift card is $100 and the price of each t-shirt is $10.

The relation between two unequal expressions is defined as inequality.

Given that, the person can afford 9 T-shirts and 1 sweatshirt but not 3 t-shirts and 8 sweatshirts.

Let the value of the gift card be y.

Let the cost of one shirt and one sweatshirt be t and s respectively.

Then, the inequality for the condition that "the person can afford 9 T-shirts and 1 sweatshirt" is:
9t + s ≤ y

The inequality for the condition that " the person cannot afford 3 t-shirts and 8 sweatshirts" is:

3t + 8s > y

Now, let the person buys 1 sweatshirt in any situation, then from inequalities (1) and (2):

9t + 1 ≤ y

3t + 8 > y

Hence, the system of inequalities is:

9t + 1 ≤ y

3t + 8 > y

The graph of the inequalities is shown.

Let the value of the gift card be $100 and the price of each t-shirt is

t =$10, then

9(10) + 1 ≤ 100

91≤100, true

And,

3(10) + 8 > 100

38 > 100, false

Hence, a situation in which the person can afford 9 t-shirts and one 1-sweatshirts, but not 3 T-shirts and 8 sweatshirts are when the value of the gift card is $100 and the price of each t-shirt is $10.

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The area of triangle is 460.89 unit square.

Given:

lengths of rod, a = 29 and b = 36 ,

angle between them (θ) = 62

We know that in a general triangle of side a,b,c and angles A,B,C ,

we can write area of triangle (Δ) is

 Δ = absinθ/2

Δ =  29*36sin62/2

Δ = 460.89 unit square.

hence, the area of triangle is 460.89 unit square.

#123

The area of the SAS triangle is 460.89 cm³.

Given data;

Side length (a) = 29

Side length (b) = 36

With an angle of Ф = 62°

Here, it is stated that the triangle is a SAS triangle which is known as the Side Angle Side triangle.

Now, to calculate the area of a given triangle, we use the formula as;

Area = a*b*sinФ/2

From the above formula;

Area of the SAS triangle = a*b*sinФ/2

                                         = [29*36*sin(62°)]/2

                                         = 460.89 cm³

Hence, the area of the SAS triangle is 460.89 cm³.

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Answer:

x=5+1/2

Step-by-step explanation:

3(2x-5)-2x=7

We move all terms to the left:

3(2x-5)-2x-(7)=0

We add all the numbers together, and all the variables

-2x+3(2x-5)-7=0

We multiply parentheses

-2x+6x-15-7=0

We add all the numbers together, and all the variables

4x-22=0

We move all terms containing x to the left, all other terms to the right

4x=22

x=22/4

x=5+1/2

Step-by-step explanation:

3(2x-5)-2x=7

We move all terms to the left:

3(2x-5)-2x-(7)=0

We add all the numbers together, and all the variables

-2x+3(2x-5)-7=0

We multiply parentheses

-2x+6x-15-7=0

We add all the numbers together, and all the variables

4x-22=0

We move all terms containing x to the left, all other terms to the right

4x=22

x=22/4

x=5+1/2

Answer:

C

Step-by-step explanation:

Answer: I believe the answer is -8.32

Answer:

Step-by-step explanation:−8.32

The line r has a slope 1/3 and y-intercept (0,5)

What is the Dilation?

Math definition of dilation Resizing an object is accomplished through a change called dilation. The objects can be enlarged or shrunk via dilation. A shape identical to the source image is created by this transformation. The size of the form does, however, differ.

Given

The slope of the line and its intercept (0,2)

The slope of the line r will not change.

And intercept is the addition of their ordinate will be.

Intercept = 2+3

Intercept = 5

So, the line r has slope 1/3 and y-intercept (0,5).

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The amount owed by the debtor is $10865

The given parameters about the compound interest are

Principal Amount, P = $5300

Interest Rate, R = 8%

Time, t = 6 years

To calculate the amount owed, we make use of the following formula

A = P + CI

Where

Compound interest, CI = P(1 + R)^t - P

So, the equation becomes

A = P + P(1 + R)^t - P

Evaluate the like terms

A = P(1 + R)^t

In this question, the formula is given as

A = P(1 + r/n)^nt

Where

n = 12, i.e compounded monthly

Substitute the known values in the above equation

A = 5300 * (1 + 8%/12)^(6*12)

Express 8% as decimal

A = 5300 * (1 + 0.08/12)^(6*12)

Evaluate the sum

A = 5300 * (1.01)^(6*12)

Evaluate the exponent

A = 5300 * 2.05

Evaluate the product

A = 10865

Hence, the value of the amount after 6 years is $10865

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The slope of the line which is perpendicular to the given line 3x+18y=108 is (6).

We already know the equation of a line in slope intercept form y = mx + b and we also know that perpendicular lines that have slopes which are negative reciprocals of each other.

Given a line 13x + 18y=108, this slope intercept form can be written as,

3x + 18y = 108

18y = 108 - 3x

y = (108 /18) - (3/18)x.

y = (6) - 1x/6.

y = -(1/6)x + 6.

Hence the slope of the given line is (-1/6), thus the slope of the line which is perpendicular is (6).

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Answer:

Printing press

Step-by-step explanation:

Janet's print shop - 0.25*200=50+35=85

Printing press - 0.15*200=30+50=80

Inequality that represents this statement is -90 < -62

Hence, the if on the horizontal number line, -62 is located to the right of

-90. The inequality that represents this statement is -90 < -62

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