The measure of angle O is 110°. what is the angle of r and p?

ANSWER

A.

[tex] {f}^{ - 1} (x) = 4x - 3[/tex]

EXPLANATION

Given

[tex]f(x) = \frac{x + 3}{4} [/tex]

Let

[tex]y= \frac{x + 3}{4} [/tex]

Interchange x and y

[tex]x= \frac{y + 3}{4} [/tex]

Solve for y,

[tex]4x = y + 3[/tex]

y=4x-3

This implies that,

[tex] {f}^{ - 1} (x) = 4x - 3[/tex]

Answer:

+14.9%

Step-by-step explanation:

From 74 to 85 hours is a positive change of 11 (an increase).

Calculate 11/74:  It is 0.1486.

Multiplying this by 100% yields 14.9%.

The increase from 74 hours to 85 hours is 14.9% in magnitude.

Answer:

From 74 hours to 85 hours is approximately 15%. It is an increase.

Step-by-step explanation:

Subtract 85-74 and it'll be 11. From there, divide 11 by 74 and you'll get 0.1486... . Move the decimal place two space to the right and round the 8 to the nearest whole number. Since 8 is greater than 5, you will then round it to 15%.

Answer:

[tex]x=\frac{9}{2}[/tex] and [tex]y=27[/tex]

Step-by-step explanation:

A system of linear equations is a set of (linear) equations that have more than one unknown. The unknowns appear in several of the equations, but not necessarily in all of them. What these equations do is relate the unknowns to each other.

We need to find the solution of the follow equations:

[tex]16x-18=2y[/tex] and [tex]4x+9=y[/tex]

First, we divided by 2 the equation [tex]16x-18=2y[/tex]

We obtain [tex]8x-9=y[/tex]

Equating both equations

[tex]8x-9=4x+9[/tex]

Let's clear x

[tex]8x-4x=9+9\\4x=18\\x=\frac{18}{4} \\x=\frac{9}{2}[/tex]

Substituting the value of x in the second equation

[tex]4(\frac{9}{2}) +9=y\\y=\frac{36}{2} +9=18+9\\y=27[/tex]

.

Answer:

Step-by-step explanation:

so wa

Answer:

c = 25

Step-by-step explanation:

Since the triangle is right use Pythagoras' identity to find c

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

c² = 7² + 24² = 49 + 576 = 625

Take the square root of both sides

c = [tex]\sqrt{625}[/tex] = 25

Answer:

C=25

Step-by-step explanation:

Square both 24 and 7,Then add them together.

576+49=C

625=C

Square root 625

C=25

Check the picture below.

Answer:

Second degree trinomial.

Step-by-step explanation:

Answer:

Coordinates of A': will NOT be the same

Coordinates of C': will NOT be the same

Perimeter of ABC: will be the same

Area of A'B'C': will be the same

Measure of ∠B: will be the same

Slope of A'C': will be the same

Step-by-step explanation:

We have a triangle ABC that will be translated (moved) 2 units down, 3 units to the right.

Since the triangle is moved, then the coordinates of every summit (A, B and C) will be affected.  So,

Coordinates of A': will NOT be the same

Coordinates of C': will NOT be the same

However, since the triangle is only moved, not transformed in any way, not scaled up/down for example the following will remain the same:

Perimeter of ABC: will be the same

Area of A'B'C': will be the same

Measure of ∠B: will be the same

Since the triangle is only translated, not rotated or reflected the following will remain the same:

Slope of A'C': will be the same

Subtract the like terms:

6x^2 - 2x^2 = 4x^2

3x - -4x = 3x+4x = 7x

1 - 5 = -4

Now combine them to get the final answer:

4x^2 + 7x - 4

ANSWER

A. (8)(-4.5)

EXPLANATION

The given expression is

[tex] - 4.5 \times - 8[/tex]

We evaluate this to obtain:

[tex]- 4.5 \times - 8 = 36[/tex]

For option A

[tex](8) \times - 4.5 = - 36[/tex]

For option B

[tex]8 \times 4.5 = 36[/tex]

For option C,

[tex] - 8 \times - 4.5 = 36[/tex]

For option D

[tex](4.5)(8) = 36[/tex]

The odd one is option A.

The correct answer is A.

A because it would become negative while the rest become positive.

Just by itself? No it is not.

Answer:

The cost of a pen is $0.60 and the cost of a pencil is $0.35

Step-by-step explanation:

Let

x-----> the cost of a pen

y----> the cost of a pencil

we know that

24x+12y=20-1.40

24x+12y=18.60 -----> equation A

12x+24y=20-4.40

12x+24y=15.60 -----> equation B  

Solve the system of equations by graphing

Remember that the solution is the intersection point both graphs

The solution is the point (0.60,0.35)

see the attached figure

therefore

The cost of a pen is $0.60

The cost of a pencil is $0.35

Answer:

the opposite sides are of equal length; - the diagonals bisect each other; - the opposite angles are congruent; - the sum of any two consecutive angles is equal to 180 . Rhombis (plural of rhombus) have additional properties. Theorem 1. In a rhombus, the diagonals are the angle bisectors.

Step-by-step explanation:

The diagonals of a rhombus bisect opposite interior angles because they create congruent triangles that have equal corresponding angles.

The question addresses a geometry concept about the properties of a rhombus. To justify that the diagonals of a rhombus bisect opposite interior angles, we can consider the definition of a rhombus as a special type of parallelogram where all four sides are of equal length. Additionally, we know that in a parallelogram, opposite sides are parallel. By drawing the diagonals of a rhombus, we create congruent triangles because of the properties of parallelograms and the fact that all sides of a rhombus are equal. Each diagonal will bisect the angle from which it is drawn because in these congruent triangles, the corresponding angles are equal. This means that the diagonals bisect each other and they bisect the opposite interior angles into equal parts.

Answer:

£210

Step-by-step explanation:

A decrease of 30% represents 70% of the original cost.

100% represents the original cost

Divide the price by 70 to find 1% then multiply by 100 for original cost

original cost = [tex]\frac{147}{70}[/tex] × 100 = 2.1 × 100 = £210

Answer:

210

Step-by-step explanation:

let original price =x

x×70÷100=147

x=147×100÷70=210

[tex]\bf \textit{surface area of a cone}\\\\ SA=\pi r\sqrt{r^2+h^2}+\pi r^2~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=9\\ h=13 \end{cases}\implies SA=\pi (9)\sqrt{9^2+13^2}+\pi (9)^2 \\\\\\ SA=9\pi \sqrt{250}+81\pi \implies SA=9\pi (\sqrt{250}+9)\implies SA\approx 701.53[/tex]

Answer:

sinA=15/17 and cosA=8/17

Step-by-step explanation:

sine is opposite side over hypotenuse and cosine is adjacent side over hypotenuse

Answer:

sin A = [tex]\frac{15} {17} [/tex] and cos A =[tex] \frac{8}{17}[/tex]

Step-by-step explanation:

We are given a right angled triangle and we are to determine the ratios for sin A and cos A.

Sin is the ratio of perpendicular/hypotenuse while cos is the ratio of base/hypotenuse.

With respect to angle A, base = 8, perpendicular = 15 and hypotenuse = 17.

Therefore, [tex]sin A = \frac{15}{17}[/tex] and [tex]cos A = \frac{8}{17}[/tex].

Step-by-step explanation:

3- -5 equals 8. 8/2 equals 4. 4 plus -5=-1. so the x coordinate=-1.

2- -7=5. 5/2=2.5. 2.5+-5=2.5. so the y coordinate= 2.5. so the full set of coordinates= -1,-2.5

Answer:  a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression

Step-by-step explanation:

for example

10  x 10 = 100

to simplify this you put a small 2 on the top right corner of the number 10

Final answer:

An exponent, or a power, is mathematical shorthand for repeated multiplications. It is used to multiply a number by itself a certain number of times.

Explanation:

An exponent, or a power, is mathematical shorthand for repeated multiplications. For example, the exponent "2" means to multiply the base for that exponent by itself (in the example here, the base is "5").

5² = 5 x 5 = 25

The exponent is "2" and the base is the number "5." This expression (multiplying a number by itself) is also called a square. Any number raised to the power of 2 is being squared. Any number raised to the power of 3 is being cubed.

Answer:

B

Step-by-step explanation:

3,2

9,6

(6-2)/(9-3)

Answer:

The answer is B

Step-by-step explanation:

6-2

9-3

=

12-6

8-9

Answer:

A. Step One

B. She multiplied straight across in the proportion instead of diagonally

Step-by-step explanation:

Answer:

A. Step One

B. She multiplied straight across in the proportion instead of diagonally

Answer:

AA

Step-by-step explanation:

we know that

The AA postulate states that two triangles are similar if they have two corresponding angles that are congruent

In the triangle JKL find the measure of angle L

Remember that in a triangle the sum of the interior angles must be equal to 180 degrees

so

∠J+∠K+∠L=180°

substitute the given values

105°+50°+∠L=180°

∠L=180°-155°=25°

Compare the measure of two corresponding angles of triangles JKL and MPN

∠J=∠M=105°

∠L=∠N=25°

therefore

The triangles JKL and MPN are similar by AA similarity postulate

Answer:

7.8 rounded to the nearest whole number would be 8.

Step-by-step explanation:

-6 would be x1

7 would be y1

-1 would be x2

1 would be y2

Take these numbers and plug them into the distance formula:

[tex]\sqrt{(x2-x1)^{2}  + (y2-y1)^2}[/tex]

[tex]\sqrt{(-1 - -6)^2 + (1-7)^2} \\\sqrt{(5)^2 + (6)^2\\\} \\\sqrt{25 + 36} \\\sqrt{61} = 7.81[/tex]

Answer:

24.2%

Explanation:

The percentage of people choosing strawberry can be calculated as follows:

[tex]Percentage = \frac{PeopleChoosingStrawberry}{TotalNumberOfSurveyedPeople} * 100[/tex]

We have:

Number of people choosing strawberry = 15 people

Total number of surveyed people = 17 + 10 + 17 + 3 + 15 = 62 people

Substitute in the above rule to get the percentage as follows:

[tex]Percentage = \frac{15}{62}*100 = 24.19 = 24.2[/tex]%

Hope this helps :)

It will cost $440 to carpet the room.

To find the cost of carpeting the room, we need to calculate the area of the room in square yards.

First, let's convert the dimensions of the room from feet to yards:

15 ft = 5 yd (since 1 yd = 3 ft, 15 ft = 5 yd)

12 ft = 4 yd

Next, calculate the area of the room in square yards:

Area = Length x Width = 5 yd x 4 yd = 20 square yards

Finally, multiply the area by the cost per square yard:

Cost = Area x Price

= 20 x $22/square yard

= $440

Complete question

A bedroom is 15 ft long and 12 ft wide. How much will it cost to carpet the room if carpeting costs $22 per square yard?

Answer:

Option 4 is the correct option.

Step-by-step explanation:

We need to solve the expression 2x(x+2)(x-3)

Multiplying the terms with each other we get,

[tex]2x(x+2)(x-3)\\=2x(x^2 -3x+2x-6)\\=2x(x^2 -x -6)\\=2x^3 -2x^2 -12x[/tex]

Option 4 is the correct option.

Answer:

3x^2+6x+4 is the answer :D

The sum of the polynomials (6x + 7 + x²) + (2x² - 3) is 3x² + 6x +4 after adding the like terms.

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

We have given polynomials:

= (6x + 7 + x²) + (2x² - 3)

To add the polynomials, we must add the like terms:

= 3x² + 6x +4

Thus, the sum of the polynomials (6x + 7 + x²) + (2x² - 3) is 3x² + 6x +4 after adding the like terms.

Learn more about Polynomial here:

brainly.com/question/17822016

#SPJ2

Answer:

71

Step-by-step explanation:

This is an arithmetic sequence with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here d = 2 - (- 1) = 5 - 2 = 8 - 5 = 3 and a₁ = - 1, so

[tex]a_{25}[/tex] = - 1 + (24 × 3) = - 1 + 72 = 71

Answer: $72.30

Step-by-step explanation:

[tex]I=P*r*t[/tex]

P is the principal amount, $482.00.

r is the interest rate, 5% per year, or in decimal form, 5/100=0.05.

t is the time involved, 3 years

The answer you're looking for is $72.30. To find this answer multiply $482 by 0.05 (five percent). From there you'll get 24.1, then multiply that by 3 (three years), and you'll get $72.30/ Hope that helps! :)

Answer:

(fºg)(x) = [tex]6x^{4}+9[/tex]

Step-by-step explanation:

We have been given the following two functions;

f(x) = 6x + 9

g(x) = X^4,

We are then required to determine the expression for (fºg)(x). (fºg)(x) denotes a composite function f[g(x)] which is obtained by

substitute g(x)  in place of x in f(x)

(fºg)(x) =  6[g(x)] + 9

(fºg)(x) = 6X^4 + 9

Step-by-step explanation:

Let's say x is the amount of $2.70/lb coffee and y is the amount of $3.20/lb coffee.

The total amount is:

x + y = 400

The total worth is:

2.70x + 3.20y = 3.00×400

2.7x + 3.2y = 1200

Solving the system of equations through substitution:

x = 400 - y

2.7 (400 - y) + 3.2y = 1200

1080 - 2.7y + 3.2y = 1200

0.5y = 120

y = 240

x = 160

The grocer uses 160 pounds of the $2.70/lb coffee and 240 pounds of the $3.20/lb coffee.

By solving a system of equations, we will see that they used 240 pounds of the $3.20 coffee and 160 pounds of the $2.70 coffee.

First, we need to define the variables, we can use:

We know that they make 400 pounds of the mixture, then:

x + y = 400

We also know that the price of the mixture is $3.00 per pound, then we will have that:

x*$2.70 + y*$3.20 = 400*$3.00

So the system of equations is:

x + y = 400

x*$2.70 + y*$3.20 = 400*$3.00

To solve this, we isolate one of the variables in one of the equations. For example, I will isolate x on the first equation:

x = 400 - y

Now we can replace that on the other equation to get:

(400 - y)*$2.70 + y*$3.20 = 400*$3.00

And solve this for y.

400*$2.70 - y*$2.70 + y*$3.20 = 400*$3.00

y*$0.50 = 400*$3.00 - 400*$2.70 = 400*$0.30

y = ( 400*$0.30)/$0.50 = 240

Then we have:

x = 400 - y = 400 - 240 = 160

This means that they used 240 pounds of the $3.20 coffee and 160 pounds of the $2.70 coffee.

If you want to learn more about systems of equations, you can read:

https://brainly.com/question/13729904