Use words and symbols to describe the value of each term as a function of its position. Then find the value of the twelfth term in the sequence.

Answer:

x = 2

Step-by-step explanation:

i guess

for graph this equation,

we will calculate the point on this line,

the equation is

y = 1/2x-2

when x = 0

y = 1/2 (0) - 2

y = -2

thus, the point is (0, -2)

when x = 2

y = 1/2 (2) - 2

y = 1 - 2

y = -1

thus, the point is (2, -1)

when x = 4

y = 1/2(4) - 2

y = 2 - 2

y = 0

thus, the point is , (4, 0)

so we mark these points on the graph and join them to get a line on the graph.

Answer:

50 cm

Step-by-step explanation:

Let

x = number of months

Emma = 10 + 2x

Alice = 30 + x

Equate the equation of both girls

10 + 2x = 30 + x

10 - 30 = x - 2x

-20 = - x

x = 20

How long will their hair be?

Emma = 10 + 2x

= 10 + 2(20)

= 10 + 40

= 50cm

Alice = 30 + x

= 30 + 20

= 50 cm

Answer: the answer is -32

Step-by-step explanation: multiply -2 by itself 5 separate times.

Answer:

-32

Step-by-step explanation:

-2×-2×-2×-2×-2=4×4×-2

=-32

Alpha particle radiation is the type of radiation that has a positive charge. Alpha radiation is a type of ionizing radiation that includes alpha particles. Alpha particles are made up of two protons and two neutrons, similar to the nucleus of a helium atom.

Alpha radiation can be stopped or absorbed by a piece of paper or the outer layer of human skin since it only travels a short distance through the air. Alpha radiation is not as penetrating as beta or gamma radiation because of its mass. They have a positive charge due to the two protons present in their nucleus. When alpha particles collide with matter, they lose their energy quickly. They produce heavy damage over a small distance, which can cause damage to internal organs if inhaled or ingested.

Cathode rays, also known as cathode ray tubes (CRT), were the first positive identification of electrons. When high-voltage electricity is applied to electrodes in a vacuum tube, the cathode emits rays, which are negatively charged particles that travel toward the positively charged anode. The cathode is negatively charged, which is why cathode rays are negatively charged.

Beta radiation is composed of high-speed electrons or positrons, and they have a negative charge. They have greater penetrative power than alpha radiation, but they are more easily absorbed by materials like aluminum. When a beta particle collides with matter, it produces less ionization than an alpha particle. However, beta particles have more range and cause more serious skin burns. They are produced in the decay of heavy isotopes like uranium and plutonium.

To know more about protons visit-

https://brainly.com/question/12535409

#SPJ11

Answer:

Here is the answer.

Step-by-step explanation:

b) students are the frequency. so we need to add all the frequency.

5 + 4  + 7 + 10 + 4=30 students

c) here we need to use the summation.

total/ frequency= mean

6*5=30

7*4=28

8*7=56

9*10=90

10*4=40

we need to add them all= 244

total frequency= 30

mean = 244/30= 8.133333333...≈ 8 (this is a rounded of value as  in 0.13, 3 goes on repeating.

Answer: Trinomial

Step-by-step explanation: This expression has 3 terms (2a^2, -5a, and 7), so it is a trinomial. An easy way to remember this is that 'tri' = 3, 'bi' = 2, and 'mono' = 1. Hope this helped :)

The number of triangles which can be formed from two given angle measures and the length of their included side is one which is option (b).

Since two angles have already been given,  the value of the third angle is already fixed. So the third angle is the difference between 180 and the sum of the two angles. Given an angle, any number of angles can be formed as long as the angular relationship is consistent.

However, the number of triangles that can be formed is limited to one, since the length scale of one of the sides is already given. You cannot simply specify the scale of the two sides . The  other two side measurements are calculated using the triangle formula.

Learn more about triangle here :

https://brainly.com/question/2437195

#SPJ9

AB is congruent to BC given BE bisects DBC and BE is parallel to AC is proved .

What is congruent ?

Congruent refers to having the same shape and size. In mathematics, two objects are said to be congruent if they are identical in shape and size, and can be superimposed onto one another. The symbol used to represent congruence is ≅. Congruence applies to various geometric objects, such as triangles, rectangles, circles, and more. When two objects are congruent, they have all corresponding angles equal and all corresponding sides equal in length.

Step 1: Statement: \($\angle DBE = \angle EBC$\)

Reason: Given that overline BE bisects \($\angle DBC$\)

Step 2: Statement: \($\angle DBC + \angle EBC = 180^\circ$\)

Reason: Angle sum property of a straight line.

Step 3: Statement: \($\angle ABC + \angle EBC = 180^\circ$\)

Reason: Angles on a straight line sum to \(180^\circ$, and $\overline{BE} || \overline{AC}$\) implies that \(\angle ABC$ and $\angle EBC$\) are co-interior angles.

Step 4: Statement: \($\angle ABC = \angle DBC$\)

Reason: From step 2 and step 3, \($\angle ABC + \angle EBC = \angle DBC + \angle EBC = 180^\circ$\). Thus, \($\angle ABC = \angle DBC$\).

Step 5: Statement: \($\triangle ABE \cong \triangle CBE$\)

Reason: By the angle-angle-side congruence criterion, since \($\angle DBE = \angle EBC$\) (from step 1) and \($\angle ABC = \angle DBC$\) (from step 4), and \($\overline{BE}$\) is common to both triangles.

Step 6: Statement: \($AB = BC$\)

Reason: By step 5, \($\triangle ABE \cong \triangle CBE$\), so corresponding sides are congruent, including \($\overline{AB} \cong \overline{BC}$\).

Therefore, AB is congruent to BC given BE bisects DBC and BE is parallel to AC is proved .

To know more about congruent visit :

https://brainly.com/question/11949261

#SPJ1

Answer:

(-8,2)

Step-by-step explanation:

This is because when you reflect a point across the x-axis, the x-coordinate fo the point remains the same and the y-coordinate's sign gets switched.

(x,y) --> (x,-y)

(-8,-2) --> (-8,2)

Real estate license candidates who score 75 or better on the examination leave the test center with their passing results or a certificate.

In order to obtain a real estate license, candidates must pass a state-administered exam that tests their knowledge of real estate principles, practices, and laws. The examination includes questions on a wide range of topics, including property ownership, financing, contracts, agency, property management, appraisal, and more.

If candidates obtain a passing score, that is 75 or higher, then they will leave the testing center with their results. Then, they will be granted a certificate that shows they have passed the examination. With this certificate, the candidate will apply for a real estate license through their state's regulatory body.

Once they receive their license, they can start working in the real estate industry as licensed agents, brokers, or other related professionals.

You can learn more about Real estate license at: brainly.com/question/28259203

#SPJ11

Answer: O

Step-by-step explanation: if the bag is only filled with the letters in OUTCOME then there are more O’s than the rest

Explanation:

We'll let you draw the diagram. Here are some possible equations. We have listed the shortest sequence first.

(a) 24 = (10 + 10 + 4) = (8 + 8 + 8) = (10 + 8 + 4 + 2)

(b) 17 = (10 + 3 + 2 + 2) = (10 + 3 + 3 + 3 - 2) = (3 + 3 + 3 + 3 + 3 + 2)

(c) 15 = (11 + 4) = (6 + 6 + 3) = (4 + 4 + 4 + 3)

(d) 27 = (19 + 8) = (19 + 12 - 4) = (19 + 12 + 4 - 8)

Answer:

3/4 hour-72

1 hour- 92

Step-by-step explanation:

3/4-

24 x 3= 72

1-

24 x 4 =92

I'm not sure because There isn't attached

The sample space of the experiment is {(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)}. The probability that there were 13 carrots in total planted over the two days is 0.4 and the probability that an odd number of carrots were planted on the second day is 0.4.

a) Sample space: {(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)}

b) i). There are 6 ways of planting 13 carrots, and there are 15 possible outcomes for planting carrots. Hence,

P(13) = 6/15

P(13) = 0.4

ii). We can have odd total carrots only if we have an odd number of carrots planted on both days or we plant 5 carrots on the first day and 7 carrots on the second day. Therefore, the sample space is {(4,5),(6,5),(4,7),(6,7),(5,5),(5,7)}. There are 6 possible outcomes for planting an odd number of carrots. Hence,

P(odd) = 6/15

P(odd) = 0.4

c) The events are mutually exclusive because if an odd number of carrots are planted on the second day then the total number of carrots planted cannot be 13.

d) We know P(13) = 0.4 and P(odd) = 0.4, and P(13 and odd) = 0, so the events are not statistically independent.

To learn more about sample space visit:

https://brainly.com/question/30206035

#SPJ11

Answer:

The semi-circles form an entire circle with a diameter of 74.

The radius is 37

The area of the rectangle is 95 x 74 = 7030

The area of the circle is 3.142 x 37*37 = 4298.66

The total area is 11328.66

A solution of a system of linear equations is (0,−4).

What is Systems of Linear Equations?

A direct equation is an equation in two variables, and when it's graphed, a straight line is formed. The line is created by the combination of corresponding values that satisfy the equation. utmost generally, direct equations use the variables x and y so the corresponding values can be colluded as (x,y) pairs on the  co-ordinate plane .

Main body:

A system of direct equations is a group of two or further direct equations. The result to any system of direct equations is the point where the lines cross on a graph, still, because lines can be resemblant or coinciding, it's possible for a system to have no result( parallel) or infinitely numerous results( coinciding).

y = 3x−4

y=−x/2−4

now solve:

3x=−3/2x

1/2x=0

x=0

If x=0

, solve for the corresponding y-coordinate:

y=3(0)−4

y=−4

So, the solution is (0,−4).

to know more about equation , visit:

brainly.com/question/26310043

#SPJ4

Answer:

A: 2;distance increases by 2 miles per hour

The question refers to the plot of the plate's function of the angle of inclination. When the hot side is tilted both upward and downward over the range of +90°, the discontinuous formulas must be used in different ranges of 0.

It refers to the plot of the function of the angle of inclination of a plate. It is a graph that shows the relationship between the angle of inclination and the plate's function. A plate is tilted on its hot side both upward and downward over a range of +90°. The graph shows that different discontinuous formulas are needed for different ranges of 0. A discontinuous formula refers to a formula that consists of two or more parts, each with a different equation. The two or more parts of a discontinuous formula have different ranges, such that each range requires a different equation. These formulas are used in cases where the same equation cannot be applied throughout the entire range.

Learn more about angle of inclination visit:

brainly.com/question/13896283

#SPJ11

The dollar gains depreciated relative to the pound when the price of pounds in dollars increases, for instance, from $1 = 1 pound to $2 = 1 pound.

Devaluation of a currency can take place in both absolute and relative terms. When the value of one currency declines in relation to the values of other currencies, this is referred to as a relative devaluation. For instance, the British pound sterling may be worth more today than it did yesterday in terms of US dollars.

A currency's value declines when compared to other currencies, which is known as currency depreciation. Political unrest, interest rate differences, weak economic fundamentals, and investor risk aversion are a few examples of the causes of currency devaluation.

To know more about  Depreciated relative visit:

https://brainly.com/question/13522166

#SPJ4

Answer:

She can earn $10 per week even if she does not knock on any doors

Hence, AA"B"Ccoordinates "'s in green are: A" (0, 0), B" (-4, -5), and C" (1, -4).

An illustration of data or mathematical functions is a graph. It is a method for presenting numerical data in a way that is simple to comprehend and interpret. A set of axes, one for each variable being represented, and one or more plots or lines that reflect the data or function being graphed are the main components of a graph. There are many distinct graph kinds, each of which is appropriate for displaying various sorts of data, including line graphs, bar graphs, scatter plots, and pie charts.

given

The axes cannot be identified because they are not specified in the query.

The blue ABC bar graph is as follows:

Using the equation (x, y) (y, -x), rotate AABC 90 degrees clockwise by applying the following transformation to each point:

A(-3, 0) → A' (0, 3) (0, 3)

B(-2, 4) → B' (-4, -2) (-4, -2)

C(1, -1) → C' (1, -1) (1, -1)

The red A'B'C' coordinates are as follows: A' (0, 3), B' (-4, -2), and C' (1, -1).

We take the y-coordinate of each point and subtract 3 to translate AA'B'C' three units down:

A' (0, 3) → A" (0, 0) (0, 0)

B' (-4, -2) → B" (-4, -5) (-4, -5)

C' (1, -1) → C" (1, -4) (1, -4)

Hence, AA"B"Ccoordinates "'s in green are: A" (0, 0), B" (-4, -5), and C" (1, -4).

To know more about graphs visit:

https://brainly.com/question/11950136

#SPJ1

The complete question is:-  

1. Label the axes.

2. Graph: A(-3, 0) B(-2, 4) C(1,-1) Draw ABC in blue.

3. Rotate AABC 90° clockwise to

create ▲A'B'C' in red. List the coordinates below:

Formula: (x, y) → (y, -x)

A(-3, 0) A' ()

B(-2, 4)→ B' ()

C(1, -1) C' ()

4. Translate AA'B'C' three units down to create ▲A"B"C" in green. What are the coordinates of AA"B"C"?

so hmmm say A(-10 , 5) , B(8 , 2) and the point that partitions them is point C.

\(\textit{internal division of a line segment using ratios} \\\\\\ A(-10,5)\qquad B(8,2)\qquad \qquad \stackrel{\textit{ratio from A to B}}{1:2} \\\\\\ \cfrac{A\underline{C}}{\underline{C} B} = \cfrac{1}{2}\implies \cfrac{A}{B} = \cfrac{1}{2}\implies 2A=1B\implies 2(-10,5)=1(8,2)\)

\((\stackrel{x}{-20}~~,~~ \stackrel{y}{10})=(\stackrel{x}{8}~~,~~ \stackrel{y}{2}) \implies C=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-20 +8}}{1+2}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{10 +2}}{1+2} \right)} \\\\\\ C=\left( \cfrac{ -12 }{ 3 }~~,~~\cfrac{ 12}{ 3 } \right)\implies \boxed{C=(-4~~,~~4)}\)

Answer:

C. 840 Cubic Inches.

Step-by-step explanation:

Answer:1.arithmetic 2.Non-Arthmetic 3.Non-Arthmetic

Step-by-step explanation:

Answer:

1 arithmetic 2 non arithmetic

The length of the third side is x= 8 (nearest rounded to the tenth).

The line segment in a triangle connecting the midway of two sides of the triangle is said to be parallel to its third side and is also half the length of the third side, according to the midpoint theorem.

By using the midpoint theorem, we get

The line is parallel to its third side x and is also half the length of the third side, therefore we can write

X= \(\frac{1}{2} * 15\)

X = 7.5

Rounded the value nearest tenth

X = 8

Learn more about the mid-point theorem here:

https://brainly.com/question/13677972

#SPJ1

Answer:

A and E

Step-by-step explanation:

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\) ← distance formula

it is important that the x and y coordinates are placed correctly, that is not mixed together.

First version

let (x₁, y₁ ) = X (- 5,  4 ) and (x₂, y₂ ) = Y (7, 15 ) , then

XY = \(\sqrt{(7-(-5)^2+(15-4)^2}\) → A

or

Second version

let (x₁, y₁ ) = Y (7, 15 ) and (x₂, y₂ ) = X (- 5, 4 ) , then

XY = \(\sqrt{(-5-7)^2+(4-15)^2}\) → E