I need help with this question, if anyone could help ASAP, that would be much appreciated. In the figure below, mROP = 125° Find the measure of each arc. For each arc, write two or more complete sentences explaining which theorem or postulate you used to find your answer. Include your equations and calculations in your final answer. find mRP, MQS, MPQR, and MRPQ

Answer:

2(8x + 18) and 4(4x + 9)

Step-by-step explanation:

16 and 36 are both evenly divisible by 2 and 4.  Thus, possible equivalents of 16x + 36 are 2(8x + 18) and 4(4x + 9).

Expressions equivalent to 16x + 36 are 4(4x+9) and 2(8x + 18).

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division.

Given expression

16x + 36

= 4.4x + 4.9

16x + 36 = 4(4x+9)

= 2.2(4x + 9)

16x + 36 = 2(8x + 18)

Hence, 4(4x+9) and 2(8x + 18) are equivalent to 16x + 36.

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Answer:

√2x+8=x-8

2x+8=x^2-16x+64

-x^2+18x-56=0

x^2-18x+56=0

x(x-4)-14(x-4)=0

(X-4)(x-14)=0

x=4(extraneous) ,x=14

—> x=14

Step-by-step explanation:

Answer: (14,6)

Step-by-step explanation:

Right on edg 2022.

Answer:

Rolling a 4 on the first try has a probability of (1/6). Meaning, it is one event out of the six possible events of the die. Rolling a 4 a second time also has a probability of (1/6), because nothing has changed on the die.

Answer:

Subscript 7 Baseline C Subscript 2 Baseline (one-sixth) squared (five-eighths) Superscript 5

Step-by-step explanation:

The answer above is correct.

Answer:

-7

Explanation:

7/8 x - 16 x -7 x -1/14 = -7

Answer: -7

7/8 x -16 = -14

-14 x -7 = 98

98 x 1/14 = -7

ANSWER IS -7

Answer:  see below

Step-by-step explanation:

Given ax² + bx + c = 0

If a > 0 (positive), then parabola opens UP

If a < 0 (negative), then parabola opens (DOWN)

Axis of Symmetry: [tex]x=\dfrac{-b}{2a}[/tex]

Max/Min: Plug axis of symmetry into the given equation and solve for y.

1) y = x² + 11x + 24

      a=1   b=11

a> 0 so parabola opens UP

[tex]\text{Axis of symmetry:}\quad x=\dfrac{-(11)}{2(1)}=\dfrac{-11}{2}=-3.5\\\\\\\text{Minimum:}\quad y=(-3.5)^2+11(-3.5)+24 = -6.25[/tex]

2) y = -x² - 6x - 8

      a=-1   b=-6

a< 0 so parabola opens DOWN

[tex]\text{Axis of symmetry:}\quad x=\dfrac{-(-6)}{2(-1)}=\dfrac{6}{-2}=-3\\\\\\\text{Maximum:}\quad y=(-3)^2-6(-3)-8 = 1[/tex]

3) y = x² - 2x + 3

      a=1   b=-2

a> 0 so parabola opens UP

[tex]\text{Axis of symmetry:}\quad x=\dfrac{-(-2)}{2(1)}=\dfrac{2}{2}=1\\\\\\\text{Minimum:}\quad y=(1)^2-2(1)+3 = 2[/tex]

4) y = x² + 4x + 4

      a=1   b=4

a> 0 so parabola opens UP

[tex]\text{Axis of symmetry:}\quad x=\dfrac{-(4)}{2(1)}=\dfrac{-4}{2}=-2\\\\\\\text{Minimum:}\quad y=(-2)^2+4(-2)+4 = 0[/tex]

5) y = 3x² + 21x + 30

      a=3   b=21

a> 0 so parabola opens UP

[tex]\text{Axis of symmetry:}\quad x=\dfrac{-(21)}{2(3)}=\dfrac{-21}{6}=-3.5\\\\\\\text{Minimum:}\quad y=3(-3.5)^2+21(-3.5)+30 = -6.75[/tex]

Answer:

V( 3, -8 )

Step-by-step explanation:

Parable equation is of the form:

( x - h )² = 4p*(y - k)

In that expression, vertex has coordinates V ( h, k )

Then all we have to do is transform the given equation

y = x² - 6x + 1       or     x² - 6x  = y - 1          (1)

We can get a  perfect square trinomial in the first member of the equation according to:

x²  -  6x   =   ( x - 3 )²  - 9

(x - 3 )²   = x² - 6x  + 9

By substitution  en equation (1)

( x - 3 )² - 9 = y - 1

( x - 3 )² = y -1 + 9

( x - 3 )² = y + 8

( x - 3 )² = (y + 8 )

Then vertex coordinates are

V( 3 , -8)

Answer:

A

Step-by-step explanation:

f(x)=4^x-2

g(x)=4^x+7

it is horizontal shift 9 unit to the left

hope it works

Answer:

A: A horizontal shift of 9 units left

Hope this helps! :D

Step-by-step explanation:

Answer:

[tex]756\pi[/tex]

Solution,

Volume of cone=270 pi cm^3

[tex] \frac{1}{3} \pi \: {r}^{2} = 270\pi \\ or \: {r}^{2} \times 10 = 270 \times 3 \\ or \: {r}^{2} \times 10 = 810 \\ or \: {r}^{2} = \frac{810}{10} \\ or \: {r}^{2} = 81 \\ or \: r = \sqrt{81} \\ or \: r = \sqrt{ {9}^{2} } \\ r = 9 \: cm[/tex]

Volume of semisphere:

[tex] \frac{2}{3} \pi {r}^{3} \\ = \: \frac{2}{3} \times \pi \times 9 \times 9 \times 9 \\ = 486\pi[/tex]

Total:

[tex]270\pi + 486\pi \\ = 756\pi[/tex]

hope this helps...

Good luck on your assignment..

Answer:

It's asking you to write the function in a factored form  for example g(x) or f(x) that's why its asking for you to use the x as the variable.

Step-by-step explanation:

Answer:

A square

Step-by-step explanation:

Since the base is a square, any plane of the pyramid parallel to the base is shaped like a square (except the very top one which is a point).

Square shape will you get if you take a cross section of a square pyramid parallel to its base

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

'A square pyramid is a  three-dimensional geometric shape having a square base and four triangular faces/sides that meet at a single point (called vertex) is called a square pyramid.'

According to the given problem,

If a square pyramid is cut along the plane, then the cross-section of the solid is square. Because it is a square pyramid.

Hence, we concluded that square could be formed by slicing the square pyramid by a plane.

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Answer:

The answer is p/6-4/5.

hope it helps

Answer:

no

Step-by-step explanation:

Answer:

625

Step-by-step explanation:

-5⁴

-5 × -5 × -5 × -5

= 625

the simplified value of the given Expression  (Negative 5) Superscript 4 will be 20.

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Given a mathematical expression  (Negative 5) Superscript 4

Simplifying the expression

=>  (Negative 5) Superscript 4

in other terms

=> (-5)⁴

=> -5*-5*-5*-5

=> 20

Therefore, the simplified value of the given Expression will be 20.

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9514 1404 393

Answer:

  Cone Z, cylinder Y

Step-by-step explanation:

Pointy objects such as pyramids and cones have 1/3 the volume of a prism (or cylinder) with the same base area. So, for a cone and cylinder of the same base area to have the same volume, the cone must be 3 times as high.

The figures described as having that relationship are ...

  cone Z, cylinder Y

_____

Additional comment

The perimeter of a prism is not sufficient to define its base area, unless the shape of the base is well-enough defined. However, the perimeter of the base is useful for determining the lateral surface area. Unfortunately, that is not of any interest in this problem.

Answer:

B, x≥2

Step-by-step explanation:

54 - 10x ≤ 20 + 7x - subtract 20

34 - 10x ≤ 7x - add 10x to 7x

34 ≤ 17x - divide 34 by 7

2 ≤ x - flip the equation - x ≥ 2

Hope this is helpful!

Answer:

Choice B

Step-by-step explanation:

TRUST ME. IF YOU WANT EXPLANATION:

54 - 10x < = 20 +  7x

54 - 20 < = 7x + 10x

34 < = 17x

34/17 < = x

2 < = x.....or x > = 2....its B trust me

Answer:

C. 32,768

Step-by-step explanation:

Step 1

Convert the number of hours to minutes

2.5 hours to minutes = 2 hrs 30 minutes to minutes is calculated as

1 hour = 60 minutes

2 hours 30 minutes =

Cross multiply

(60 minutes × 2 hours) + 30 minutes = 150 minutes.

Step 2

We are told in the question that the bacteria population doubles every 10 minute interval

Find the number of intervals in 150 minutes

= 150 minutes / 10 minutes interval

= 15 intervals

Step 3

The number of bacteria present after 2.5 hours is calculated using the formula of

= Amount of bacterium × 2ⁿ

Where n = number of intervals = 15

Amount of bacterium = single bacterium = 1

Number of bacteria = 1 × 2¹⁵

= 32,768

Therefore, when you start with a single bacterium in a petri dish, the number of bacteria that will there be in 2.5 hours is 32,768

Answer:

The function was expanded vertically by 5, and then translated vertically upwards 6 units.

Which is the third option in the list of possible answers.

Step-by-step explanation:

Recall that the types of transformations associated with:

A) a function multiplied by a positive factor larger than one consists on the function expanded vertically by that factor.;

B) a positive number added to the function consists on the vertical translation of the function upwards as many units as the number added.

Therefore, the function [tex]f(x) = log(x)[/tex] being transformed into [tex]g(x)=5\,log(x)+6[/tex]

consists of the initial function expanded vertically by 5, and then translated vertically upwards 6 units.

Answer:

15%

Step-by-step explanation:

25% fail math

60% of the 25% above fail science

thus,

[tex] \frac{25}{100} \times 60\%[/tex]

=15% of total student

Answer:

line PQ and line SR are parallel and line PS and line QR are parallel. And we can amuse QS as the transversal.

answers to pairs of angles:

7. opposite interior angles

8. opposite interior angles

9. adjacent interior angles

10. corresponding angles

11.  opposite interior angles

Hope it helps

Step-by-step explanation:

Answer:

Step-by-step explanation:

Concepts used :

sum of angles at a point on straight line is 180

if a transversal intersects two parallel lines then alternate angles are equal.

____________________________________________

∠∠∠∠∠

m∠1 + m∠2 + m∠3 = 180   ____________(A)

reason :sum of angles at a point on straight line is 180

these angles lie on LAM at point A

m∠1  = m∠5

Reason: alternate angles  y ∥ x and AC is transversal

m∠3  = m∠6

Reason: alternate angles  y ∥ x and AB is transversal

Substituting m∠1  with  m∠5 and m∠3  with m∠6

in equation A---m∠1 + m∠2 + m∠3 = 180

m∠5 + m∠2 + m∠6 = 180

Hence proved.

Answer:

The answers are below. Hope this helped. I sacrificed my answers ˙-˙ :)

Step-by-step explanation:

<1 congruent to <5                Given

<3 congruent to <6               Alternate Interior Angles theorem

m<1 = m<5                             Alternate Interior Angles theorem

m<3 = m<6                            Definition of congruent angles

m<1+m<2+m<3=m< LAM      Definition of congruent angles

m<1+m<2+m<3=180             Angle additon postulate

m<5+m<2+m<6=180            Definition of straight angle

Answer:

an = an-1 * (-5)

a1= 2

Step-by-step explanation:

The recursive formula is

an = an-1 * r

a1= initial term

where a1 is the initial term and r is the common ratio

a1 =2 or the starting term

r = second term / first term = -10/2 = -5

an = an-1 * (-5)

a1= 2

Answer:

The correct answer is D

Step-by-step explanation:

2 and -5

Answer:

*regular-sized hot dog contest has greater variability

*The difference in the medians of the two contests is approximately 2 times the interquartile range.

Step-by-step explanation:

Variability of the data from both contests can be compared using the range or interquartile range of each set of data from both contests.

The greater the value of the range or interquartile range, the greater the variability.

Range for regular-sized hot dog contest = 32 - 17 = 15

Range for Jumbo-sized hot dog contest = 22 - 8 = 14

Interquartile range for regular-sized hot dog contest = 27 - 22 = 5

Interquartile range for jumbo-sized hot dog contest = 16 - 11 = 5

Median for regular-sized hot dog contest = 23

Median for jumbo-sized hot dog contest = 14

The difference in the median of both contests = 23 - 14 = 9, which is approximately 2 times the interquartile range (5)

Thus, results for the regular-sized hot dog contest has greater variability, be side its range is 5, which is greater than that for jumbo-sized contest.

The difference in the medians of the two contests is approximately 2 times the interquartile range.

The interquartile range of both contests is 5. The median difference between both contests is 9, it is approximately 2 times 5. (i.e. 9/5 = 1.8 ≈ 2).

Answer:

x = 31.64

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp/ adj

tan 36 = 23/x

x tan 36  =23

x = 23/tan 36

x=31.63686382

Rounding to 2 decimal places

x = 31.64

Answer:

D. 31.64

Step-by-step explanation:

Answer:

No it doesn't have the same surfaces

The cuboid A and B have different surface areas.

The surface area of a three-dimensional object is the total area of all its faces.

SA=2lw + 2lh + 2hw

Where,

SA is the surface area of a cuboid

l is the length of the cuboid

h is the height of the cuboid

w is the width of the cuboid

Let the area of each cube is one unit.

So, for the cuboid A

Length = 3 unit

Width = 2 unit

Height = 3 unit

Therefore, the surface area of cuboid A = ( 3 × 2 + 3 × 2 + 2 × 2 ) 2

⇒ Surface area of cuboid A = 32 square unit

For cuboid B

Length = 4 unit

Width = 1 unit

Height =  3 unit

Therefore,

The surface area of cuboid B = (4 × 1 + 4 × 3 + 3 × 1)2

⇒ Surface area of cuboid B = 38 square unit

Hence, the cuboid A and B have different surface areas.

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Answer:

50%

Step-by-step explanation:

Percent increase formula for your problem:

#wolves increased / # of wolves there were originally

We have

(27-18) / 18

9 / 18

1 /2

1/2=50% So, there was a 50% increase!

Hope this helps

Answer:

Step-by-step explanation:

Write and solve an equation of ratios:

 9        4

----- =  -----

 x         10

Then 4x = 90, and x = 22.5

It will take exactly 22.5 cans of paint to cover 10 rooms.  The painter must buy 23 cans.

Answer:

2^1

According to the product of powers with the same base, a^m * a^n = a^m+n.

Basically, when you're multiplying exponents with the same base, you can add the powers together to get the answer.

2^6 * 2^-5

The bases are the same, so we can apply this rule.

6 + -5 = 1

This gives you the answer of 2^1.

Answer:

The quotient is 10x + 16

The remainder is 28x² + 10x + 22

Step-by-step explanation:

x³ - 3x² + x - 2) 10x⁴ - 14x³ - 10x² + 6x - 10 (10x + 16

                       10x⁴ - 30x³+ 10x² - 20x

                                16x³ - 20x² + 26x - 10

                                16x³ - 48x² + 16x - 32

                                          28x² + 10x + 22

Therefore, the quotient is 10x + 16

The remainder is 28x² + 10x + 22

Answer:

order:

-3 bills from first envelope (-30 dollars)

-2 bills from second envelope (-40 dollars)

-1 bill from third envelope (-50 dollars)

total least possible amount that can be taken out: 120

Step-by-step explanation:

Any other ways results in more than 120 being taken away. Need to have the least taken away from the 50 bill envelope because 50 is the largest bill. Take away the most from the 10 bill envelope because 10 is the smallest bill.

Answer:

$120

Step-by-step explanation:

So this question isn't hard either

We can cross out excess information and just find the main points.

a. 3 Envolopes containing 10 bills, 20 bills, and 50 bills

b. 1-3 bills are taken out of each envolope

c. It wants you to find the least possible amt. that could have been token out.

So since we want the least, we must take the smallest out of the largest

In order, 1 from 50 (largest)

2 from 20 (middle)

and 3 from 10 (smallest)

this leaves us the equation (1x50) + (2x20) + (3x10) => 50+40+30 => 120

Thus, we have our answer 120

Hope this helps!

Answer:

Step-by-step explanation:

The equation given to us is:

-4y = x-18

y = (x-18)/-4

Substitute x = 0:

y = (0-18)/-4

y = 4.5

Substitute x = 18

y = (18-18)/-4

y = 0

Substitute x= -18

y = (-18-18)/-4

y = -36/-4

y = 9

The three points found are (0,4.5), (18,0), (-18,9)

Graph all three point onto the coordinate plane.

Join all three point with a line, and extend the line.

The line shows the graph for -4y=x-18

Answer:

(-6,3) (-2,4) (2,5)

Step-by-step explanation:

Answer:

They are equivalent.

Step-by-step explanation:

You can tell because 4:1 can go into 12:3.

If you multiply 4 by 3 you will get 12.

If you multiply 1 by 3 you would get 3.

12:3=4:1

Hope this helps!

Step-by-step explanation: Two ratios are equal if the fractions that represent the are equal.

So we first write the ratios 4 : 1 and 12 : 3 as the fractions 4/1 and 12/3.

Now, to determine whether the two fractions are equal,

we write each fraction in lowest terms.

Notice that 4/1 or 4 is already in lowest terms.

So let's move on.

12/3 can be simplified to 4.

So we have 4 = 4 which is true.

So that's how we know the ratios 4 : 1 and 12 : 3 are equal.