If m<9 = 97° and m<12 = 114°, find the measure of each missing angle.

The parent function of the graph is,

The transformed image of the graph is,

Let us sketch out the graph of both the parent function and the transformed function.

From the image above, the parent function, y=x² was first reflected over the y-axis. Therefore, the transformation resulted into y= -x² .

After that, it was now shifted down by 5 units, which now resulted into

Hence, the correct answer is B(Second option), which is the parent function was reflected over the y-axis and shifted downward by 5 units.

In order to solve this system of equations, first let's add the second equation to the first and third ones:

Now, adding the two resulting equations, we have:

So the solution for this system is x = 8, y = -9 and z = 7.

Subtract 2π to the given angle as it is equivalent to one revolution.

Solution

Given the logarithmic statement below

To change the statement to an exponential statement, we apply an exponent to both sides

Simplifying the expression above gives

Hence, the exponential statement is

EXPLANATION

Given the following operation:

3/4 - 1/2*7/8

First, let's solve 1/2*7/8:

Multiply fractions: a/b* c/d = (a*c)/(b*d)

Multiply the numbers: 1*7 = 7

Multiply the numbers 2*8=16

Now, we need the Least Common Multiplier of 4, 16:

The LCM of a, b is the samllest positive number that is divisible by both a and b:

Prime factorization of 4:

4 divides by 2 ---> 4= 2*2

2 is a primer number, therefore no further factorization is possible.

Prime factorization of 16:

Multiply each factor the greatest number of times it occurs in either 4 or 16

= 2*2*2*2

Multiply the numbers: 2*2*2*2 = 16

Adjust fractions based on LCM

For 3/4: multiply the denominator and numerator by 4

Since the denominators are equal, combine the fractions:

Subtract the numbers: 12-7 = 5

ANSWER

EXPLANATION

We want to find the number of cookies that can be made with 5 sticks.

To solve this, we have to apply proportions. Let the number of cookies that can be made be x.

We have that:

Now, cross-multiply:

That is the number of cookies that can be made.

let o be the number of outfits, then

o*53.96 shoud be less than or equal to 620 - all what he bought, so:

Total money: $620

Spent money: $620 - $440.12 - $19.26 - 25.72 = $134.9

The inequality will be:

53.96o ≤ 134.9

o ≤ 2.5

Answer:

(2x-3)(x+10)

Explanation:

Given the expression 2x^2+17x-30, we are to factorize completely

2x^2+17x-30

= (2x^2+20x)-(3x-30)

Factor out the common terms

= 2x(x+10)-3(x+10)

= (2x-3)(x+10)

This gives the required factor

Substraction:

1. Find prime factors of 24

2. As 2 squared has a exact square root extract it from the radical:

Then, you have the next expression:

Substract similar terms (taking square root of 6 as a common factor):

From this problem let's begin with some notation: Let the man age denoted by M. With the info provided we can do this:

Son age = 27-12= 15

Finally with the condition given we can createthe following equation:

And solving for M we got:

So then basically the answer for the men age is 40 years

Let p denote the statement "It snows", and q denote tthe statement "I can go snowboarding"

The we need to draw a table for

(p => q)v(-p => q)

p q -p -q p=>q -p => -q (p => q)v(-p => q)

T T F F T T T

T F F T F T T

F T T F T F T

F F T T T T T

The argument is valid, since the last column has truth all through.

Given:

a.) A circle with a diameter of 8 yards.

For us to get the area of the circle, we will be using the following formula:

Where,

D = the diameter of the circle = 8 yards

We get,

Answer: 50.24 square yards

transformamos las unidades de litros a centimetros cubicos, esto es:

1 L = 1000 cm3

2L = 2000 cm3

hallamos el area de la base

hallamos el area lateral

luego el area total

respuesta: se necesitan 1128 cm2 de carton

Consider the rectangle drawn below,

Consider the properties of rectangle that the opposite sides are equal, and both the diagonals are also equal in length.

Thus, the value of 'x' is 5.

Substitute the value to obtain the diagonal QS as,

Similarly solve for the diagonal RT as,

Already we knew that the diagonal will be equal with the length 22 units.

hello

to solve this problem, we should understand that a standard deck of cards have 52 cards which consists of 13 spade.

the probability of choosing a spade is

the answer to this question is 1/4

We have a system of linear equations:

Let S be the price of software package and M be the price of the month of game play.

Angie buys 1 software package and 3 months of gameplay, while Kenny buys 2 software packages and 2 months of game play. The total cost for them is $125.

We can write this as:

We also know that each software package cost $25. This can be written as:

We can replace this last equation in the first one, and calculate M:

The cost of one month of game play is $10.

The postulates of congruence for right triangles are

• Hypotenuse-Leg Theorem.

• Leg-Leg Theorem.

• Leg-Acute Angle Theorem.

• Hypotenuse-Acute Angle Theorem.

In this case, we know that sides CE and OQ are congruent. (hypotenuses are congruent)

Angle C is congruent to angle O.

Angle E is congruent to angle Q.

To demonstrate the congruence between triangles we can use Hypotenuse-Acute Angle Theorem since they are congruent between triangles.

We can also use Hypotenuse-Leg Theorem because we have corresponding legs and hypotenuses congruent.

The hypotenuse-acute angle theorem states that two right triangles are congruent if they have congruent hypotenuse and one corresponding pair of acute angles congruent.

The hypotenuse-leg theorem states that two right triangles are congruent if they have congruent hypotenuse and one corresponding pair of congruent legs.

Question:

what is 5-2 squared plus 8/4:

Solution:

Notice that:

then, we can conclude that the correct answer is:

Answer:

Step-by-step explanation:

1. 5-2=3

2. 8/4=2

3. (3x3)+2

4. 9+2

5. 11

This problem involves combination with taken n Items taken r at a time

The formula for this combination is :

Where n is the total number of items

and r is the objects taken at a time

The factorial, n! denotes n x (n-1) x (n-2) x (n-3) x ... x (1)

For example :

2! = 2 x 1 = 2

3! = 3 x 2 x 1 = 6

4! = 4 x 3 x 2 x 1 = 24

Now from the given problem :

we have n = 30 numbers

r = selection of 3

Then the formula will be :

Simplifying :

27 up to 1 will be cancelled from numerator and the denominator..

Evaluating the expression will be :

24360/6 = 4060

The answer is 4060

Given:

To multiply the two polynomials using the distributive property, we first follow the rule shown below:

For: (a+b)(c+d)=a(c+d)+b(c+d)=ac+ad+bc+bd

We let:

Now, we plug in what we know:

Therefore, the answer is:

Let me start by telling you that there is a typo in the actual question (given the answers they provide for selection)

I am going to tell you the transformations that have been applied to change the function:

into the function:

Then, these transformations consist on:

a reflection around the x axis (due to the negative sign in front),

a horizontal shift in TWO units to the right (given by the subtraction of 2 inside the parenthesis,

then a vertical compression in 1/8 (due to the factor 1/8 outside the parenthesis

and then a vertical shift of 3 units UP due to the +3 added at the end

Then, please select answer B in the list provided

So first of all we need to write an algebraic equation for Mike. We know that he bought 3 coffees and 1 doughnut. Then the total price of these things is:

And we know that he had to pay $19 so this expression is equal to 19:

Then the answer to question 14 is the second option.

Bob bought one coffee and one doughnut so the total cost of his purchase is:

We know that this cost is equal to $9 so we get:

And the answer to question 15 is the third option.

In question2 16 and 17 we need to find c and d. For this purpose we need to use the algebraic equations for Mike and Bob:

Let's take the second equation and substract c from both sides:

Now we substitute this expression in place of d in the first equation:

Now we substract 9 from both sides:

And we divide both sides by 2:

Then the price of one coffee is $5 so the answer to question 16 is the third option.

Now we are going to take the equation for Bob and take c=5:

If we substract 5 from both sides we get:

Then the price of one doughnut is $4 and the answer to question 17 is the second option.

Given:

Principal amount = $28,000

Time period = 9 years

Interest rate = 3.25

Required:

Find the total amount at the end of the period.

Explanation:

The amount formula when the interest is compounded annually is given by the formula:

Where P =principal amount

r = rate of interest

T = time period

n = Number of time

Substitute the given values in the amount formula.

Final Answer:

Thus the amount after 9 years is $37,340.

The simple interest formula is :

where A is the future amount

P is the principal amount

r is the rate of interest

and

t is the time in years

From the problem, we have :

P = $21,370

r = 10% or 0.10

t = 171 days or 171/365 year

Using the formula above :

The answer is $22,371.17

The perimeter is a measure of the distance around the shape. This means that to find the perimeter we usually are going to add the lenghts of the sides of the figure (the circle is an exception to that rule since this is a curve figure).

The are is a measure of the space inside the figure. This means that to find the area we usually are going to multiply the lenghts of the sides of the figure to get the area.

Now the area of a triangle is given as:

whereas the area of a paralelogram is given by:

From this we notice that the area of the triangle is half the area of a parallelogram.

SOLUTION

We want to find which region has a population less than 60 animals in the diagram below

Population desity is calculated as

So let's get the areas of triangles A, B, C, and D we have

Population density for each becomes

Region C has a population density of 56 animals per square mile, which is less than 60.

Hence the answer is region C, option C

Answer:

18m2

Step-by-step explanation:

Answer:

Given that,

To find the equation which shows Pythagoras identity is true for theta=3 pi/2

The equation is of the form,

we have that,

Using this we get,

Substitute the values in the given equation we get,

Answer is: Option B:

Step 1:

Write the equation

Step 2:

Write the trigonometric inverse identity

Step 3:

Substitute in the equation

Final answer

Answer

x = -27

Explanation

x = 6 (x/2 + 9)

x = 3x + 54

x - 3x = 54

-2x = 54

Divide both sides by -2

(-2x/-2) = (54/-2)

x = -27

Hope this Helps!!!