Is 2.99 Irrational Or Rational? (2024)

Mathematics High School

Answers

Answer 1

Answer:

rational

Step-by-step explanation:

its decimal expansion terminates after 9 and it can also be represented as fraction.

Answer 2

Answer:

Rational

Step-by-step explanation:

Irrational numbers are numbers that cannot be written as a fraction (denominator of 1 does not count). 2.99 can easily be written as a fraction (e.g. [tex]\frac{299}{100}[/tex]) and therefore is rational.

Related Questions

Could someone please help me with the surface area of this prism

Answers

Answer:

it is in the picture above

Step-by-step explanation:

please give branliest if you want

A ball is launched out of a cannon that is 24 feet off the ground. The height of the ball after "t" seconds is represented by
h(t) = -16t² + 20x + 24
How many seconds will it take for the to reach the ground?

Answers

Given:

The height of ball is represented by the below function:

[tex]h(t)=-16t^2+20t+24[/tex]

To find:

The number of seconds it will take to reach the ground.

Solution:

We have,

[tex]h(t)=-16t^2+20t+24[/tex]

At ground level, the height of ball is 0, i.e., [tex]h(t)=0[/tex].

[tex]-16t^2+20t+24=0[/tex]

Taking out greatest common factor.

[tex]-4(4t^2-5t-6)=0[/tex]

[tex]4t^2-5t-6=0[/tex]

Splitting the middle term, we get

[tex]4t^2-8t+3t-6=0[/tex]

[tex]4t(t-2)+3(t-2)=0[/tex]

[tex](t-2)(4t+3)=0[/tex]

Using zero product property, we get

[tex](t-2)=0[/tex] and [tex](4t+3)=0[/tex]

[tex]t=2[/tex] and [tex]t=-\dfrac{3}{4}[/tex]

Time cannot be negative, so [tex]t=2[/tex].

Therefore, the ball will reach the ground after 2 seconds.

3. What should be done to the following equation to get the variable on the left side only?
-3x + 6 = x - 4
a. Add 3x to both sides.
b. Add x to both sides.
C. Subtract 3x from both sides.
d. Subtract x from both sides.
e. Either a or b.
. Either cord.

Answers

Answer:

d. Subtract x from both sides.

Which of the following are solutions to |x+3|= 4x- 7

Answers

decimal form : 3.3333
mixed number form : 3 1/3
exact form : 10/3

Answer: 10/3 or 3.33

Step-by-step explanation:

Question 8 of 10
Which of the diagrams below represents the statement "If it is an triangle,
then it has three vertices"?
three
vertices
triangle
triangle
three
vertices
Figure A
Figure B
A. Figure A
B. Figure B

Answers

The answer would be a.figure a

The answer would be Figure A

need help gotta turn in in 20 minutes!!!1

Answers

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

From the figure we can see that, [tex]\large\bold{3x°}[/tex] & [tex]\large\bold{x + 30°}[/tex] are vertically opposite angles.

Vertically opposite angles are equal to each other.

____________________

So, equation [tex]\large\bold{3x° = x + 30°}[/tex]

____________________

Value of x will be :-

[tex]3x° = x + 30° \\ 3x - x = 30 \\ 2x = 30 \\ x = \frac{30}{2} \\ x = 15[/tex]

____________________

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Ryan works part-time at a local department store.He earns 12.50 an hour . During a one week period he worked a total of 32 hours. What was Ryan's gross income for one week

Answers

Answer:

400

Step-by-step explanation:

12.50times 32

Based on the pattern in the picture, how many squares do you think will be used to create the 5th figure? make a table.

Answers

Answer:

I think it is 7 squares.

Step-by-step explanation:

As you can see they added 3 more squares to the first block which gave you 4. Then they added 5 squares to the second one. If you take the third block, you will count 7 squares on the outside of the third block.

Answers

The answer is -1 because if you see the graph

The answer is -1 because of how the graph is


what is the answer help me quick!!!.​

Answers

Answer:

B

Step-by-step explanation:

Remember SOHCAHTOA:

SOH = Sine is Opposite over Hypotenuse

CAH = Cosine is Adjacent over Hypotenuse

TOA = Tangent is Opposite over Adjacent

The Tan of A would be [tex]\frac{10.9}{5}[/tex]

The Tan of B would be [tex]\frac{5}{10.9}[/tex]

Therefore, B is correct.

The answer is B

Step-by-step explanation:

Tan = the abbreviation toa which means in a right angled triangle the opposite side over the adjacent side is equals to the tan of the angle.

Therefore, tan B =opposite side angle B over adjacent side angle B.

tan B=5/10.9

Which answer choice represents the difference of 20 and 3 times a number?
A. 3j + 20
B. 20(3j)
C. 20 – 3j
D. (20 · 3)j

Answers

Answer:

C

Step-by-step explanation:

The word “difference” tells us that this is a subtraction problem

the words “three times a number” tells us that the variable will be multiplied by three

therefore it is C, 20-3j

Given the equation ab= c where a=2.
Select an equation that is equivalent.

A. ax2=c
B. bx2=c
C. cxa= b
D. b x C = a

Answers

The answer is B you can see my steps

Find the arc length of the semicircle​

Answers

Answer:

Arc length of the semicircle is 12.57 cm.

Step-by-step explanation:

From the given picture,

Measure of diameter = 8 units

Radius of the semicircle = [tex]\frac{\text{Diameter}}{2}[/tex]

= [tex]\frac{8}{2}[/tex]

= 4 units

Since, circumference of a semicircle is given by the expression,

C = πr

Here, r = radius of the semicircle

Circumference of the given semicircle = π(4)

= 4π

= 12.57 cm

Therefore, arc length of the semicircle is 12.57 cm.

Answer:

Its 16 pi

Step-by-step explanation:

Is the equation conditional, an identity, or a contradiction? y - 11 + 3y = 6y + 4

Answers

Answer:

The equation is a conditional.

y = 7.5

Step-by-step explanation:

y - 11 + 3y = 6y + 4

4y - 11 = 6y + 4

4y - 4y - 11 = 6y - 4y + 4

- 11 = 2y + 4

- 11 - 4 = 2y + 4 - 4

2y = - 15

2y ÷ 2 = - 15 ÷ 2

y = - 7.5

Create your own story problem ill give 100 points

Answers

Answer:

Step-by-step explanation:

Help me please please

Answers

Answer:

a)

[tex]EH = \sqrt{HG^2+EG^2} = \sqrt{4^2+6^2} = \sqrt{16+36} = \sqrt{52} = 2\sqrt{13}[/tex]

b)

EG² = GH*GFEG² = 4*12EG² = 48EG = √48 = 4√3

A group of market women sell at least one of yam, plantain and maize.12 of them sell maize,10 sell yam and 14 sell plantain,5 sell plantain and maize,4 sell yam and maize,2 sell yam and plantain only ,while 3 sell all the three items.How many women are in the group?​

Answers

Let the three items be M, Y and P.

n{M ∩ Y} only = 4-3 = 1

n{M ∩ P) only = 5-3 = 2

n{ Y ∩ P} only = 2

n{M} only = 12-(1+3+2) = 6

n{Y} only = 10-(1+2+3) = 4

n{P} only = 14-(2+3+2) = 7

n{M∩P∩Y} = 3

Number of women in the group = 6+4+7+(1+2+2+3) as above =25 women.

7 marbles are in a bag 2 marbles are red and the rest are black how many marbles in bag are black

Answers

Answer:

5 marbles are black.

Step-by-step explanation:

7-2=5

There are 5 black marbles in the bad because 7-2=5

A spinner has 8 equal-sized sections. Six of the sections are green. What is the probability that the spinner will land on green?

_________ out of 8 or ________%

Answers

Answer:

6/8

Step-by-step explanation:

or to simplify it, it would be 3/4

The probability that the spinner will land on green is 6 out of 8 or 75%.

What is Probability?

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given that,

Number of equal sections on the spinner = 8

Number of sections which are green = 6

Probability can be calculated as the ratio of number of desired outcomes to the total number of outcomes.

Here,

Desired outcome is the spinner landing on green.

Probability = 6/8 = 0.75 = 75%

Hence the probability is 6 out of 8 or 75%.

Learn more about Probability here :

https://brainly.com/question/29027275

#SPJ3

The average number of games a player has appeared in the 2021 NBL games as of now is about 40 games
with a standard deviation of 10 games. Determine what percent of players have appeared in 45-56 games,
write as a percent with two decimal places.

Answers

It would be 100% thanks for asking

The Story of Ben and Arthur- Both save $500 per month at 11% compounded monthly. Ben starts at age 19 and stops at age 26, while Arthur starts at age 27 and stops at age 65.

Answers

Answer:

Results are below.

Step-by-step explanation:

It is not clear what the question is. But, I will assume that we need to calculate the future value of each investment at age 65.

First, we need to calculate the future value of the monthly deposit made by Ben. We will use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit= 500

Interest rate (i)= 0.11/12= 0.0092

Number of months (n)= (26 - 19)*12= 84

FV= {500*[(1.0092^84) - 1]} / 0.0092

FV= $62,944.74

Now, the future value of the investment of Ben at age 65:

FV= PV*(1 + i)^n

n= (65 - 26)*12= 468 months

FV= 62,944.74*(1.0092^468)

FV= $4,574,131.31

Finally, the future value of the investment for Arthur:

i= 0.0092

n= (65 - 27)*12= 456

A= 500

FV= {500*[(1.0092^456) - 1]} / 0.0092

FV= $3,484,032.07

A dogsled race had 6 teams with 7 dogs each and 8 teams with 9
dogs each.
How many dogs raced?

Answers

114 dogs raced

Explanation:
6 x 7 = 42
8 x 9 = 72
72 + 42 = 114

MARK ME BRAINLIEST HAVE A NICE DAY

A ship from Port travels fot 60km on the bearing of 129°.It continues to travel and changes direction for another 50km on a bearing of 080°

Answers

Answer:

The ship is approximately 100 km to the Port.

Step-by-step explanation:

The sketch to the question gives a triangle with two sides and an included angle. Let the distance from the Port to the stopping point of the ship be represented by c. It can be determined by the application of cosine rule. Cosine rule states that:

[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] -2ab Cos C

a = 50 km

b = 60 km

C = 51 + 80 = [tex]131^{o}[/tex]

So that;

[tex]c^{2}[/tex] = [tex]50^{2}[/tex] + [tex]60^{2}[/tex] -2(50 x 60) Cos [tex]131^{o}[/tex]

= 2500 + 3600 -6000 x -0.6561

= 6100 + 3936.6

[tex]c^{2}[/tex] = 10036.6

c = [tex]\sqrt{10036.6}[/tex]

= 100.183

c = 100.18 km

Thus, the ship is approximately 100 km to the Port.

Let e be the line through A (-4,5) and B (3. t) that is perpendicular to the line through
P (1, 3) and Q(-4, 2). Find the value of t.

Let l be the line through A (4, -3) and B (t, -2) that is parallel to the line through
P(-2, 4) and Q (4, -1). Find the value of t.

Determine the signs of sino coso and tane if O is an angle in standard position and
P (2,-5) is a point on its terminal side.​

Answers

Answer:

Step-by-step explanation:

product of slopes of perpendicular lines=-1

(t-5)/(3+4)×(2-3)/(-4-1)=-1

(t-5)/7×(-1/-5)=-1

(t-5)/35=-1

t-5=-1×35=-35

t=-35+5

t=-30

2.

slopes of parallel lines are equal.

(-2+3)/(t-4)=(-1-4)/(4+2)

1/(t-4)=-5/6

t-4=-6/5

t=4-6/5=(20-6)/5=14/5

3.

x>0,y<0

so P lies in4th quadrant.

except cos and sec all are negative.

so only cos and sec are positive.

can someone please help with this i don’t know how to do it 85points

Answers

Answer:

Step-by-step explanation:

You can find the area by cutting it across in the middle into a trapezoid and a rectangle.

The trapezoid will have:

height = 10-4 = 6ft

top = 9-6 = 3ft

bottom = 8ft

So its area = 1/2*(3+8)*6 = 33 ft^2

The rectangle will have:

length = 10ft

width = 6ft

So its area = 10*6 = 60 ft^2

Total area = 60+33 = 93 ft^2

Answer:

93 ft^2.

Step-by-step explanation:

Divide the figure into 3 shapes; a triangle (top), and two rectangles (one in the middle and one on the bottom).

First find the area of the rectangle;

10*6 = 60 save that for later;

The dimensions of the second rectangle are not given but you can solve for them.

The width of the base of the second rectangle will be 10ft. - 4 ft. , this is because the base of the first rectangle is part of the base of the second rectangle with a length of 4 ft cut off.

The height of the second rectangle is given by 9ft. - 6ft.

Multiply the width (base) and height;

6*3=18

The base of the triangle is the same as the second rectangle's. Use that for the base. The height is given by 8-(the height of the second rectangle). The height is 5 and the base is 6.

1/2(5*6) = 15

Add all of the values together;

15+18+60 = 93 ft^2

Explain two different ways that you can solve the exponential equation 3^x+2=8 .

Answers

Answer:

solving a quadratic equation by factoring

using the quadratic formula

Step-by-step explanation:

in the equation '3x-3=9, transposing -3RHS,we get 3x=9​

Answers

[tex]\sf\purple{The\:value\:of\:x\:is\:4.}[/tex] ✅

Step-by-step explanation:-

[tex]3x - 3 = 9 \\ ➡ \: 3x = 9 + 3 \\ ➡ \: x = \frac{12}{3} \\ ➡ \: x = 4[/tex]

To verify:-

[tex]3 \times 4 - 3 = 9 \\ ➵ \: 12 - 3 = 9 \\ ➵ \: 9 = 9 \\ ➵ \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

If the unit's and ten's digits of a two digits of a two digit number are y and x, then the number is

Answers

Answer:

10x+ y

Step-by-step explanation:

The unit's digit is y and the ten's digit is x.

The ten's digit has a zero placed beside it .

So multiply x by 10 giving 10 x and then add the unit's digit .

This wil give 10x+ y

The number is 10 x + y

This can be elaborated through the use of numbers . Suppose we have unit's digit as 6 and the ten's digit as 5.

Multiply 10 by 5 and add 6

5*10 +6= 50+6= 56

The image shows a circle with center (4,6) and radius 10 units.

Answers

Select (-4,12) (6,6) (4,6), sorry if I’m wrong

Participants enter a research study with unique characteristics that produce different scores from one person to another. For an independent-measures study, these individual differences can cause problems. How can these problems be eliminated or reduced with a repeated-measures study? Check all that apply. In a repeated-measures study, individual differences do not add to the variance of the scores because the same participants are used in all treatment conditions. In a repeated-measures study, you eliminate extraneous changes to the individuals in the sample over time. In a repeated-measures study, both samples consist of the same individuals, eliminating systematic differences between the two samples, which bias the results. In a repeated-measures study, you eliminate the need for the population distribution of difference scores to be normal.

Answers

Answer: In a repeated-measures study, individual differences do not add to the variance of the scores because the same participants are used in all treatment conditions.

• In a repeated-measures study, you eliminate the need for the population distribution of difference scores to be normal.

In a repeated-measures study, you eliminate the need for the population distribution of difference scores to be normal.

Step-by-step explanation:

An independent measures design, is an experimental design whereby the condition of the experiment is such that there are different group of participants. Based on the information given, the problems can be eliminated or reduced with a repeated-measures study through:

• In a repeated-measures study, individual differences do not add to the variance of the scores because the same participants are used in all treatment conditions

• In a repeated-measures study, you eliminate the need for the population distribution of difference scores to be normal.

Therefore, the correct options are A and D.

Is 2.99 Irrational Or Rational? (2024)

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