Find the sum of the first 13 terms of the sequence 2, 5, 8, 11,....

Answers

Answer 1

The sum of the first 13 terms is 260

How to calculate the sum of the first 13 terms ?

The first term(a) is 2

The common difference(d) is 3

n= 13

The formular is

n/2(2a + (n-1)d)

= 13/2 [ 2(2) + (13-1)3]

= 6.5 [4 + 12(3)]

= 6.5 [4 + 36]

= 6.5(40)

= 260

Hence the sum of the first 13 terms is 260

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Related Questions


Describe the solid that results if the number of sides of each base increases infinitely. The bases of each solid are regular polygons inscribed in a circle.

a. pyramid

Answers

The solid that results from increasing the number of sides infinitely is; Close to a Cone

How to describe the nature of a solid object?

We want to describe the solid that results if the number of sides of each base increases infinitely. The bases of each solid are regular polygons inscribed in a circle.

Now, given a pyramid, when its base is a regular polygon whose number of sides increases infinitely, the base gets closer and closer to the shape of a circle, and therefore the solid will be close to a cone.

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50 POINTS!
Solve for x (and you only have to do odd numbers if you want):
1. 3(x+2)=21
2. 5(2x-1)=-25
3. -4(3x-5)=-16
4. -2(4-x)-5=11
5. 3(-6x+7)+4x=-7
6. 2(3x-4)+5(2x+3)=-9
7. 5(x+9)=65
8. 1/2(x-3)=-4
9. 5x+2(x-6)+7=2
10. 9(x+3)-14x-15=52

Answers

1.x=5

2.x=-2

3.x=3

4.x=12

5.x=2

6.x=-1

7.x=4

8.x=-5

9.x=1

10.x=-8

Pls correct me on any of these if I made a mistake

Write this number in words: 1.001510512 (with decimals)

Answers

The decimal 1.001510512 when written in words is;

One and one million five hundred ten thousand five hundred and twelve hundred millionths

Write the decimal in words?

We can write decimal in words by acknowledging the fact that one part is a whole number while the other part is a fraction. For example;

20.009 in words is; Twenty and nine thousandths

8.406 in words is; Eight and four hundred six thousandths

26.0502 in words is; Twenty-six and five hundred two ten thousandths

6.5904 in words is; Six and five thousand nine hundred four ten thousandths

63.1254 in words is; Sixty-three and one thousand two hundred fifty-four ten thousandths

Thus, we can conclude that the decimal 1.001510512 when written in words is;

One and one million, five hundred ten thousand five hundred and twelve hundred millionths

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I REALLY NEED HELP ASAP. Yari says that the product 230×104 has four zeroes. Is she correct? In the box below, explain your answer including how patterns for multiplying by powers of 10 help determine the final answer. Show your work to support your conclusion.

I need help please. I'll mark brainliest.

Answers

Yari says that the product 230×10⁴ has four zeroes. She is incorrect.

How to calculate the value?

It should be noted that from the information, Yari says that the product 230×10⁴ has four zeroes.

This will be confirmed below:

= 230 × 10⁴

= 230 × 10000

= 2300000

Therefore, the product has 5 zeros. She is incorrect.

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Let g(x)=-1/2x+ 6 and h (x) =g(x)-3 which statement descibes the graph of h(x)?

Answers

The statement describing the graph of h(x) is "The graph of h(x) is a vertical translation of the graph of g(x) down 3 units".

In the question, are given two graphs g(x) = - (1/2)x + 6, and h(x) = g(x) - 3.

We are asked for the statement that best describes h(x).

Now, h(x) = g(x) - 3, can be seen as  the translation of g(x).

For any graph m(x), n(x) is its translation if n(x) = m(x + p) + q.

The translation is vertical is q ≠ 0, and horizontal when p ≠ 0. Also,

if p > 0, then the horizontal translation is p units right,if p < 0, then the horizonal translation is |p| units left,if q > 0, then the vertical translation is q units up, andif q < 0, then the vertical translation is |q| units down.

For, h(x) = g(x) - 3, when we compare it with n(x) = m(x + p) + q, we have p = 0, and q = -3.

Since, q ≠ 0, we have vertical translation, and since q < 0, the translation is |q| units down.

Thus, The statement describing the graph of h(x) is "The graph of h(x) is a vertical translation of the graph of g(x) down 3 units".

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The provided question is incomplete. The complete question is:

"Let g(x) = - (1/2)x + 6 and h(x) = g(x) - 3. Which statement describes the graph of h (x)?

The graph of h(x) is a vertical translation of the graph of g(x) up 3 units.The graph of h(x) is a horizontal translation of the graph of g(x) right 3 units.The graph of h(x) is a horizontal translation of the graph of g(x) left 3 units.The graph of h(x) is a vertical translation of the graph of g(x) down 3 units."

I need help please I’ll give extra points

Answers

Answer:

The answer is A) 1 1/4, I hope it helps

Answer:

x = 5/4

answer is A

Step-by-step explanation:

HELP ME RN PLS IF YK MATH arithmetic operations and function

Answers

lol maybe like 8 or something yeah

Tell me what order these go in

Answers

Answer:

I suppose is division multiplication subtraction then addition

Step-by-step explanation:

if a measure is reliable, it: please choose the correct answer from the following choices, and then select the submit answer button. produces a consistent result if the same thing is measured twice. measures what it was intended to measure. predicts actual behavior. co-varies with the independent variable.

Answers

A reliable measure is one that (A) produces a consistent result if the same thing is measured twice.

What do we mean by reliable measure?The consistency with which a method attempts to measure something is referred to as its reliability. The measurement is considered reliable if the same result can be consistently obtained by using the same methods under the same conditions. The stability or consistency of test scores is measured by reliability.It can also be defined as the ability of a test or research findings to be repeated. A medical thermometer, for example, is a dependable tool that consistently measures the correct temperature. When the same thing is measured twice, a reliable measure produces the same result.

Therefore, a reliable measure is one that (A) produces a consistent result if the same thing is measured twice.

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The correct question is given below:
A reliable measure is one that:

A) produces a consistent result if the same thing is measured twice.

B) measures what it was intended to measure.

C) predicts actual behavior.

D) co-varies with the independent variable.

how many solutions does the equation 3x-1=3x+1 have

Answers

Answer:

0

Step-by-step explanation:

[tex]3x-1=3x+1\\=3x-1-3x=3x+1-3x\\-1=1[/tex]

Due to the fact that the sides are unbalanced, the equation has no true solution.

Find the range of the relation.

A. {-6, -5, -3, -1, 0, 3, 6}

B. {-6, 6}

C. {-6, -3, 0, 3, 6}

D. {-5, -3, -1, 1, 3}

Answers

The range of the given relation in the table is option C {-6,-3,0,3,6}

Here first column x represents the domain of the function

Domain is the set of all possible input for the function.

Second column y represents the range of the function

Range is the set of all possible output for the function.

Here the set of all possible inputs of the functions are {-5,-3,-1,1,3}

The set of all possible outcomes of the functions are {-6,-3,0,3,6}

Then the range of the relation in the table = {-6,-3,0,3,6}

Hence, the range of the given relation in the table is option C {-6,-3,0,3,6}

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X. Y
-5 -4
-2 -11
1 -18
4 -25

Answers

We get the graph for the given points.

We are given the points:

 X.           Y

- 5           - 4

- 2           - 11

 1            - 18

 4           - 25

We will plot them on the graph.

In geometry, a coordinate system is a system that makes use of one or extra numbers, or coordinates, to uniquely decide the placement of the factors or different geometric factors on a manifold which include Euclidean space.

In mathematics, the graph of a function f is the set of ordered pairs, where f(x)=y.

A plane is the two-dimensional analogue of a point, a line and three-dimensional space.

Therefore, we get the graph for the given points.

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the water level of a lake fell by 11/2 inches during a 12/3-week long dry spell. Find the average rate at which the water level changed every week.

Answers

Every week, the water level dropped by 1.375 inches on average rate.

The average rate is what?

The ratio of "change in the function values" to "change in the interval endpoints" is referred to as the average rate of change of a function f(x) over an interval [a, b]. Specifically, [f(b) - f(a)] can be used to get the average rate of change (b - a). The average rate of change, represented by the symbol A(x), is, in other words, the "ratio of change in outputs to change in inputs." A(x) = (change in outputs), for example (change in inputs)

based on the available facts;

Detailed explanation:

A lake's water level dropped by -11/2 inches throughout the course of a 12-week dry period.

Total fall of water level = -11/2 inches = -5.5 inches

Time of fall = 12/3 week = 4 weeks

Average rate at which water level changed every week=Total fall of water level/Time of fall

=-5.5/4

=-1.375per inch every week

Average rate at which the water level changed every week = -1.375 inches

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the standard deviation for using a certain radar speed detector is 0.56 mph for vehicle speeds around 30 mph. if you were traveling 33 mph in a 30 mph zone and if a police officer used this speed detector, what is the probability that you would be clocked at below the speed limit?

Answers

0.0001 is a very tiny possibility that you will get caught driving slower than the posted speed limit.

What is probability?

Probability is a branch of mathematics that deals with the numerical representations of the likelihood that an event will occur or that a statement is true. A number between 0 and 1 is the probability of that an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

How can you calculate the probability?

By simply dividing the actual favorable amount of possibilities by the entire number of possible outcomes, one can use the probability formula to determine the likelihood of an event.

According to the given data:

Given,

radar speed detector is 0.56 mph.

inital speed  = 33mph

final speed  = 30mph

finding the probability that we clocked at below the speed limit.

so,

p(Z<(inital- final)/speed detector)

p(Z<(33-30)/0.56)

p(Z<5.35)

where Z = 1

p(1 -  0.9999)

= 0.0001

0.0001 is a very tiny possibility that you will get caught driving slower than the posted speed limit.

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8) the lion at the zoo became ill and lost 6 pounds every week for 3 weeks. in the fourth week, she began to feel better and gained 5 pounds. write and find the value of an expression for the change in the lion's weight.

Answers

Answer:

w - 13.

Step-by-step explanation:

Change in weight

= w - 3(6) + 5   where w is her original weight.

= w - 18 + 5

= w - 13.

Cookies are sold in the lunchroom for $2. Ana wants to buy cookies for a group of her friends. If she has $20, write an inequality to show the number of cookies cc she can buy. Use the variable c
As a inequality

Answers

Answer:

2c < 20

Step-by-step explanation:

$2 is the price per cookie so 2c is per every cookie, you multiply by 2 to get the price.

Ana only has $20 so the amount of money she spends has to be less then 20 so the inequality would be 2c < 20

Complete the description of the piecewise function graphed below. Use interval notation to indicate the intervals.

Answers

Answers:

[-5, -2]

(-2, 3]

(3, 6]

=====================================================

Explanation:

This piecewise function is made of 3 separate functions of...

f(x) = 5 when  [tex]-5 \le \text{x} \le -2[/tex]

f(x) = 4 when [tex]-2 < \text{x} \le 3[/tex]

f(x) = -3 when [tex]3 < \text{x} \le 6[/tex]

--------

The interval [tex]-5 \le \text{x} \le -2[/tex] turns into the interval notation [-5, -2]

Use square brackets to include each endpoint. Each endpoint is included because of the closed filled in points.

In contrast, the interval [tex]-2 < \text{x} \le 3[/tex] has an open hole at -2 and so it turns into (-2, 3]

A similar situation happens with the interval [tex]3 < \text{x} \le 6[/tex] to become (3, 6]

1 and ​ 4 are supplementary and ​2 and ​ 3 are supplementary because they are corresponding angles.

Answers

Proved that angle 2 is congruent to angle 4 (∠2 ≅ ∠4).

What are supplementary angles?Supplementary angles are those that total 180 degrees. Angles 130° and 50°, for example, are supplementary angles because the sum of 130° and 50° equals 180°.

To proof:

Given:

Angles 1 and 2 are supplementary.Angles 3 and 4 are supplemental.Angle 1 is parallel to angle 3.Show that angle 2 and angle 4 are congruent.

This proof includes definitions of congruence and supplementary angles, as well as some equality properties.

∠1 and ∠2 are supplementary (given)∠3 and ∠4 are supplementary (given)∠1 ≅ ∠3 (given)m∠1 + m∠2 = 180°m∠3 + m∠4 = 180° m∠1 + m∠2 = m∠3 + m∠4 (transitive property of equality)m∠1 = m∠3 9congruent angles)m∠1 + m∠2 = m∠1 + m∠4 (substitution property of equality) (replaced m∠3 with m∠1)m∠2 = m∠4 (subtraction property of equality) (subtracted m∠1 from both sides)∠2 ≅ ∠4 (congruent angles)

Therefore, the proving is shown.

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The correct question is given below;
Angle 1 and angle 2 are supplementary. Angle 3 and angle 4 are supplementary. Angle 1 is congruent to angle 3. Prove: Angle 2 is congruent to angle 4.

Wavelength is 0.00004 cm is the weather like for a violet light a large or small value and how do you know

Answers

Wavelength is 0.00004 cm is the weather like for a violet light a large or small value and how do you know

The frequency of the violet light is [tex]7.495\times10^{14} s^{-1}[/tex].

Given that,

Wavelength λ=0.00004cm

First, we convert cm to nm

0.00004cm =400nm

These are connected by the equation in electromagnetic radiation (light):

c = λυ

where c refers to the speed of light value is 2.998 x [tex]10^{8}[/tex] m/s, λ refers to wavelength (m) and υ refers to frequency ([tex]s^{-1}[/tex]or Hz).

Now, c = λυ

2.998 x [tex]10^{8}[/tex] m/s=400[tex]\times[/tex][tex]10^{-9}[/tex]m[tex]\times\\[/tex]υ

υ=[tex]\frac{2.998\times10^{8} m/s}{400\times10^{-9}m }[/tex]

υ= [tex]7.495\times10^{14} s^{-1}[/tex]

Therefore, The frequency of the violet light is [tex]7.495\times10^{14} s^{-1}[/tex].

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X
-5
1
4
6
y
9
0
-7
-1
What is the range of the given function?
{x|x=-5, 1, 4, 6)
y ly=-7, -1, 0, 9}
O {x|x=-7, -5, -1, 0, 1, 4, 6, 9}
O
y ly=-7, -5, -1, 0, 1, 4, 6, 9)

Answers

The range of the given function is {y | -7 -1 0 9}

How to determine the range of the given function?

The table of values is given as:

x -5 1 4 6

y 9 0 -7 -1

List out the y values

So, we have:

y 9 0 -7 -1

The y values represent the range

So, we have

Range = {y | 9 0 -7 -1}

Order from least to greatest

Range = {y | -7 -1 0 9}

Hence, the range of the given function is {y | -7 -1 0 9}

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Each year, Jennifer's school hosts a student vs. teacher basketball tournament to raise money for charity. This year, there are eight teams participating in the tournament. During the first round, each team plays all of the other teams.

(c) Find a numerical method that you could use regardless of the number of the teams in the tournament to calculate the number of games in the first round.

Answers

A numerical method that you could use regardless of the number of the teams in the tournament to calculate the number of games in the first round is; (n − 1) + (n − 2) +…+ 1.

What is the Numerical Method used?

The first team will play with the other 7 teams.

Then the second team will play with the 6 other teams, as the game between the first and the second team has already been counted.

Similarly, the third team will play with 5 other teams, and so on. Thus, the

total number of games will be 7 + 6 + 5 + 4 + 3 + 2 + 1 = 28.

Therefore, in the first round there will be 28 games.

If there are 8 teams in the tournament, the number of games in the first round is (8 − 1) + (8 − 2) +…+ 1. Therefore, if there are n teams in the

tournament, the number of games in the first round is given by the sequence; (n − 1) + (n − 2) +…+ 1.

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need help with homework quick!

Answers

Answer:

it is the second one(that what I learned in school)

find a proposition with three variable p, q and r that is true when at most one of the three variables is true, and false otherwise

Answers

Three variable p, q and r that is true when at most one of the three variables is true.

How do you identify a proposition?

Propositions are the name for certain types of phrases. A proposition is said to have a "true" truth value if it is true; a "false" truth value if it is untrue. Propositions include statements like "Grass is green" and "2 + 5 = 5". The first claim is true, whereas the second is wrong in terms of truth value.

Atmost means maximum.

We have three variables: p,q and r. Maximum one of the three variable is true. However we dont know which variable is true.

Case 1: No variable is true :  ¬p ∧¬q∧¬r

Case 2 : p variable is true:  p ∧¬q∧¬r

Case 3: q variable is true : ¬p ∧q∧¬r

Case 4 : r variable is true : ¬p ∧¬q∧r

One of the 4 cases has to be true . Thus Case1 or Case 2 or Case3 or Case 4 is true. So we need to take comjuction of the propsitions in each case.

(¬p ∧¬q∧¬r) v  (p ∧¬q∧¬r) v (¬p ∧q∧¬r) v (¬p ∧¬q∧r)

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. In a triangle, one angle is 5° more than the
measure of the second angle. The third
angle is 10° more than the measure of the
second angle. Find the measure of each
angle angle

Answers

The angles are 60°, 55°, and 65°.

Let the triangle be named ΔABC.Let the angle ∠A be "x".Then, the angle ∠B is equal to ∠A + 5°.The angle ∠B is equal to x + 5°.The angle ∠C is equal to ∠A + 10°.The angle ∠C is equal to x + 10°.The angle ∠C is equal to x + 10°.Using the angle sum property of a triangle, we know that the sum of all the angles in a triangle is equal to 180°.∠A + ∠B + ∠C = 180°(x) + (x + 5°) + (x + 10°) = 180°3x + 15° = 180°3x = 165°x = 55°The angle ∠A is equal to 55°.The angle ∠B is equal to 55° + 5° = 60°.The angle ∠C is equal to 55° + 10° = 65°.

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The diorama of a town uses the scale 5 inches : 10 miles. If the diorama measures approximately 60 inches across, what is the approximate measure of town?

Answers

Answer: 120 miles

Step-by-step explanation:

      We will set up a proportion to solve.

 Set up a proportion:

[tex]\displaystyle \frac{5\text{ inches}}{10\text{ miles}} =\frac{60\text{ inches}}{x\text{ miles}}[/tex]

 Cross-multiply:

5 * x = 60 * 10

 Multiply:

5x = 600

 Divide both sides by 5:

x = 120 miles

Explain how you can use a straightedge and a compass to construct an angle that is both congruent.

Answers

The construction of two congruent angles using a scale and compass can be done by applying the prerequisite knowledge of construction.

What is an angle?

A geometrical figure formed by using two rays, which are known as the sides of angle. These sides share a common vertex. Angle can be of various types including acute, obtuse, reflex,  right, etc.

Explanation of constructing an angle using a scale and compass that is both congruent

Start drawing a line with the scale

Then, using this line or edge of the given angle to construct another corner, with the same vertex, let's call it O

Mark an arc across the sides of the corner using compass

Name the points as A and B, where the arc intersects and extend that arc beyond B

Open the compass to length of AB by setting it to the point B, and then mark an arc that intersects the first arc at point C.

Forthwith, wwe have two congruent components, AB = BC.

As the distance is OA = OB = OC, therefore, ∠AOB and ∠BOC are congruent.

Hence, this is the way of constructing congruent angles using a scale and a compass.

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b is less than or equal to 6.
options are attached

Answers

Answer:

b ≤ 6

This inequality matches the statement, "b is less than or equal to 6."

This is because the sign < tell us that b is going to be less 6, and the line _ tells us that the solution can also be equal to 6.

Which is an equivalent expression for (22 • 34)3?

Answers

The equivalent expression of the expression given as: (2^2 • 3^4)^3 is (2^6 • 3^12)

How to determine the equivalent expression?

The expression is given as:

(2^2 • 3^4)^3

Expand the exponents of the above expression

(2^2 • 3^4)^3 = (2^2)^3 • (3^4)^3

Evaluate the product of exponents

(2^2 • 3^4)^3 = (2^6) • (3^12)

Rewrite the above expression as:

(2^2 • 3^4)^3 = (2^6 • 3^12)

Hence, the equivalent expression of the expression given as: (2^2 • 3^4)^3 is (2^6 • 3^12)

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A candy factory makes caramel and chocolate candies. The ratio is two to five. They make 700 pieces of candy a day.

Answers

Answer:

They make 200 pieces of caramel candies a day and 500 pieces of chocolate candies a day.

Step-by-step explanation:

Since the ratio is two to five, make it 2x + 5x = 700.

7x = 700

x=100

So, for caramel candies, 2 x 100 = 200

For chocolate candies, 5 x 100 = 500

Rewrite 19/4 as a mixed number. A 9 1/4 B 5 1/4 C 4 3/4 D 4 1/4

Answers

Answer:

C) 4 3/4

Step-by-step explanation:

19 divided by 4 doesn't divide equally.

4*5=20 X

4*4=16 YEP

19-16=3

So...

19 can be divided 4 whole times and you're left over with 3.

Thus, it's 4 3/4.

Hope this helps.

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I am the area of the theater where the audience sits so I am the17. I am a technician who works back stage during a show so I am part of the18. I move set pieces during a show so I am a19. I pull, build, and set properties for a show so I am the20. I help actor to quick change so I am a21. I am run the box office, the lobby, and the employees in both so I am a22. I am something permanent onstage that shows the play's location so I am a23. I oversee all technical crews and employees within so I am a24. I decide who plays which part so I am a25. I am one of the designers that needs to attend rehearsals so I am a26. I am often called an A1 and I can be found operating a board so I am the27. I make all calls during a show and run it completely so I am a28. I help to mic actors during a show so I am part of the29. I help to hang, focus, gel, and gobo so I am part of the30. I am one of the designers that needs to attend rehearsals so I am aPublicity teamCostume crewStage managerFollow spot operatorHouse managerLighting designerGelHouseAssistant directorLighting crewProducerCasting directorStage handBox officeLighting technicianMaster carpenterPropAudio crew/BSA crewDirectorScenic/Set designerCostume DesignerActorGoboMaster electricianSetRun crewProps masterTechnical directorDresserSound engineer in his work, city of god, who developed a christian understanding of social ethics? this work shifted the christian focus on ethics from "well-being" to "well-doing." If you were investigating why the thumbs-up and the okay hand signals used in north america are considered rude gestures in certain other parts of the world, you would be engaging in a comparative study of what?. U.S. CONSTITUTION TEST1. Which of the following is a right guaranteed by the Bill ofRights?Public EducationTrial by JuryEmploymentVoting2. The federal census of population is taken each five years.FalseTrue3. If a person is indicted for a crime, name two rights whichhe speedy friasDefenceCansel of4. A U.S. senator elected at the general election in Novem-ber takes office the following year on what date?5. A President elected at the general election in Novembertakes office the following year on what date?6. Which definition applies to the word "amendment?"Proposed change, as in a ConstitutionI Making of peace between nations at warA part of the government7. A person appointed to the U.S. Supreme court is appoint-ed for a term of8. When the Constitution was approved by the originalcolonies, how many states had to ratify it in order for it tobe in effect?---9. Does enumeration affect the income tax levied on citizensin various states:Yes ImporteNo10. Persons opposed to swearing in an oath may say, instead:(solemnly:11. To serve as President of the United States, a person musthave attained:2545 years.35.4012. What words are required by law to be on all coins andpaper currency of the U.S.?13. The Supreme Court is the chief lawmaking body of thestate. TrueFalse14. If a law passed by a state is contrary to provisions of theU.S. Constitution, which law prevails?15. If a vacancy occurs in the US Senate, the state musthold an election, but meanwhile the place may be filled !a temporary appointment made by:16. A US. senator is elected for a term of-vears.17. Appropriation of money for the armed services can beonly for a period limited toyears.18. The chief executive and the administrative offices makebranch of governmerup the19. Who passes laws dealing with piracy?20. The number of representatives which a state is entitledhave in the House of Representatives is based on:21. The Constitution protects an individual against punishments which areand22. When a jury has heard and rendered a verdict in a caseand the judgment on the verdict has become final, the cfendant cannot again be brought to trial for the sameFalseTruecause.23. Name two levels of government which can levy taxes:24. Coinmunism was the type of government in:U.S.RussiaEngla25. Cases tried before a court of law are two types, civil an What is the standard unit of temperature? What can be used to measure temperature? kitts co. buys and sells a product that has a variable cost per unit of $25. kitts fixed costs amount to $47,000 and a desired profit of $11,500. the product sells for $29 each. if kitts is able to reduce fixed costs by $15,500, the number of units that must be sold to earn the desired profit will multiple choice increase by 14,625. Type the correct answer In each box. Spell all words correctly, and use numerals Instead of words for numbers. If necessary, use / for thefraction bar(s).IS What is the mean of the given distribution, and which type of skew does it exhibit?(4.5, 3, 1, 2, 4, 3, 6, 4.5, 4, 5, 2, 1, 3, 4, 3, 2}The mean of the distribution Isand it exhibits askew. A firm contemplating expansion should ultimately choose a foreign market based on an assessment of the nation's long-run profit potential. group of answer choices true false The time between when the firm pays its suppliers and when it collects money from its customers is known as the:_____. write a letter to your friend inspiring him already something useful for mankind by giving example of the international personalities Work with your group to share the passages from the selection that you found especially important America's constitution biography Dylan is making a party favorites for his dylan is making party favors for his birthday party he has 32 pencils and 56 lollipops and he must use all the pencils and lollipops for his birthday favorites if dylan creates the greatest number of identical packages possible how many parties favors can he make how many pencils and lollipops are there in each party package With segmented memory allocation, each job is divided into several ____ of different sizes, one for each module that contains pieces that perform related functions. 3. Compare and contrast a high-fat diet and a low-fat diet. Describe how each diet affects thehuman body. Give examples of foods that apply to each diet. Choose which diet you believeto be better and support it with examples.a. List everything you think you know about this topic.b. How would you go about getting information on this topic?c.What non-text media could you include in your final Course Paper?(Examples: video, charts, oral report.) What is the slope of the line? Boal and hooijberg believed that strategic leaders must have the ability to ______. symbolic interactionism argues that the social world is created through every day interactions and shared meanings. question 10 options: true false Marcy has a picture frame that is 18 by 24 inches. If she has another frame congruent to the first one, andone of its sides is 24 inches long, determine the length of the other side. in considering whether a criminal offense renders an individual ineligible for licensure or renewal of licensure, factors the board must consider include all of the following except Find the coordinates of Q if R(6,-1) is the midpoint of QS, and S has coordinates (12, 4).