Answer:
D
Step-by-step explanation:
0.5 can be written as a fraction and 0.5 doesn't repeat
The number 0.5 is rational and terminating decimal thus option (D) is correct.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.
As per the given number, 0.5
Since 0.5 = 5/10 here 5 and 10 both are integers thus it will be a rational number.
Now, 0.5 here the number after the decimal is only one 5 so it is finite thus it will be terminating decimal.
Hence "The number 0.5 is rational and terminating decimal".
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What is the surface area of the figure?
4 cm
3 cm
5 cm
1.5 cm
8 cm
o
A. 12 cm2
B. 24 cm
O
C. 28 cm2
O
D. 42 cm2
Answer:
It should be 24 cm^2
Step-by-step explanation:
there are 3 shape. 2 rectangles and a triangle
to find the area for the rectangle is length x width
to find the area of a triangle its 1/2 x base x height
the small rectangle
4*1.5=6
the bigger rectangle
3*4=12
the triangle
1/2*4*3
1/2*12=6
Add them all up and you get 24
Do 4/ A,B for 11 points.
Answer:
Look at the picture.
Step-by-step explanation:
Always remember to isolate than divide/multiply
If an event is likely to occur, which of the following best describes the probability that the event will occur?
A) The probability is between 0 and 1/4
B) The probability is between 1/4 and 1/2
C) The probability isn’t between 1/2 and 3/4
D) The probability is between 3/4 and 1
Answer:
C bc I believe u made a spelling error if not, D
Step-by-step explanation:
closer to 1 = more likeliness
If an event is likely to occur, the probability that the event will occur is between 3/4 and 1.
What is the probability?
Probability determines how likely it is that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
If the probability lies between 0 and 1/5, it is likely that the event would not occur. If the probability lies between 1/5 and 1, it is likely that the event would occur.
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Jerry has taken a random sample of students and determined the number of electives that each student in his sample took last year. There were 19 students in the sample. Here is the data on the number of electives the 19 students took: 6, 6, 8, 7, 7, 7, 8, 9, 10, 8, 7, 6, 9, 6, 8, 7, 9, 7, 10. The mean of this sample data is 7.63.
Answer:
10/19
Step-by-step explanation:
count how many is under 7.63
Joe took $12 to the arcade. Each game cost $.50 to play. This situation can be modeled with the equation y + -.50 x+ 12. This represents the relationship between money Joe has remaining, y, and the number of games he plays, x. Use the function to determine the y-intercept.
State the meaning of the y-intercept in the terms of this problem
Answer: Joe has initial amount of $12 ( when he played no game).
Step-by-step explanation:
Given: Joe took $12 to the arcade. Each game cost $.50 to play.
This situation can be modeled with the equation [tex]y =-0.50 x+ 12.[/tex]
Here,
Money Joe has remaining is repreesnted by 'y', and the number of games he plays is represented by 'x'.
Since y-intercept gives the initial value of the function when x=0.
To find y-intercept , we out x=0 in funtion , we get
[tex]y=-0.50(0)+12=12[/tex]
So , y-intercept of this function is at y=12.
Meaning of the y-intercept in the terms of this problem :
Joe has initial amount of $12 ( when he played no game).
Answer:
y-intercept is 12 and y-intercept shows the fixed cost of arcade, i.e., $12.
Step-by-step explanation:
Note : The given equation is not correct.
It is given that Joe took $12 to the arcade and each game cost $0.50 to play.
This situation can be modeled with the equation
[tex]y=0.50x+12[/tex]
where, y is total cost of playing x games.
We need to find y-intercept.
Substitute x=0 in the above equation to find the y-intercept of the equation.
[tex]y=0.50(0)+12[/tex]
[tex]y=0+12[/tex]
[tex]y=12[/tex]
So, the y-intercept is 12.
Here y-intercept represents the total cost if the number of games is zero.
It means y-intercept shows the fixed cost of arcade, i.e., 12.
Can someone please help!!
Answer:
let’s find the area of the circle first.
The formula to find the area of the circle is 3.14 x r^2
3.14 x 0.5^2 = 0.785 cm^2
Lets find the area of the triangle.
the formula to find the area of the triangle is 1/2 x base x height
The height is found if you subtract the square of 5 from the square of 4.
5^2 - 4^2 = 9
the square root of 9 is 3.
1/2 x 8 x 3 = 12 cm^2
lets find the area of the rectangle
length x width
8 x 4.5 = 36 cm^2
then subtract the area of the circle from the area of the rectangle and then add the area of the triangle
36 - 0.785 + 12 = 47.215 (round it off to 47)
A coin has two sides: heads and tails. A die has six sides, numbered 1 through 6. If you flip the coin and roll the die, what is the
probability that you flip "heads" and roll a number less than 3?
The second group of trainee astronauts are all sitting around the table, waiting to start their first day of training.
From the clues given below, can work out where everyone sits?
Note: Seat 1 is next to Seat 2 and Seat 8, etc. Seat 5 is across from Seat 1, and Seat 7 is across from Seat 3, etc. Seat 2 is a higher seat number that Seat 1, etc.
Puzzle Table
1. Harvey has a higher seat number than Jennie.
2. Peter is across from Harvey.
3. Neither Joyce nor Lia is in seat 8.
4. Rick is across from Kenny, and Rick is also next to Joyce.
5. Lia is next to Kenny.
6. Jennie is at Seat 4 and next to Harvey.
7. Peter is next to Lia.
8. Mark has the remaining seat.
Answer:
Seat 1: PeterSeat 2: LiaSeat 3: KennySeat 4: JennieSeat 5: HarveySeat 6: JoyceSeat 7: RickSeat 8: MarkStep-by-step explanation:
From Rule 6: Jennie is at Seat 4 and next to Harvey; and by rule 1 (Harvey has a higher seat number than Jennie)
Seat 4: JennieSeat 5: HarveyFrom Rule 2: Peter is across from Harvey.
Since Seat 5 is across from Seat 1
Seat 1: PeterFrom Rule 7: Peter is next to Lia.
Therefore, Lia can either be in Seat 2 or Seat 8, but by Rule 3 (Neither Joyce nor Lia is in seat 8), therefore, Lia is in Seat 2.
Seat 2: LiaBy Rule 5: Lia is next to Kenny, therefore:
Seat 3: KennyFrom Rule 4: Rick is across from Kenny, and Rick is also next to Joyce.
Seat 7 is across from Seat 3, therefore:
Seat 7: RickSince Rick is also next to Joyce (and by Rule 3, Joyce cannot be on Seat 8)
Seat 6: JoyceTherefore, we have:
Seat 1: Peter
Seat 2: Lia
Seat 3: Kenny
Seat 4: Jennie
Seat 5: Harvey
Seat 6: Joyce
Seat 7: Rick
Since Mark has the remaining seat, Mark is on Seat 8.
Please help me ASAP I will give thanks, points, and maybe brainliest.
Step-by-step explanation:
Let's plug the values in.
(18 * 1³ - 10²)² / 10 + 3 * 2 = (18 - 100)² / 16 = 6724 / 16 = 420.25.
Here is a picture of a Ferris wheel. It has a diameter of 80 meters.
About how far does a rider travel in one complete rotation around the Ferris wheel? Round your answer to the nearest whole number. Use 3.14 for π.
Enter your answer in the box below.
_____ meters
Answer:
251.2 m
Step-by-step explanation:
Circumference = 2 x π x r
C = 2 x 3.14 x 40
C = 251.2
Circumference of a circle
The path or the boundary that encircles any shape is defined by its circumference. In other words, the perimeter is another name for the circumference, which makes it easier to determine how long a shape's outline is. The circle's perimeter is measured in this way. whereas the circumference of a circle determines the space it occupies. The circumference of a circle is its length when it is opened up and drawn as a straight line. Units like cm or unit m are typically used to measure it.
We take radius of the circle and pi to calculate the circumference of circle.
The formula of circumference of circle is 2πr.
R is radius of the circle and π is mathemetical constant which value approx 3.14
In the question it is given that the diameter of a wheel is 80m. So, radius is half of diameter, 40m.
So, the circumference = 2πr
= 2 × 3.14 × 40 = 251.2m
Rider has to travel 251.2m to cover one complete rotation.
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Help me please show your work please
Answer:
27
Step-by-step explanation:
(9)to the 2 power is 81
81/3=27
Answer: 27
(n)^2/3 if n=9
Step-by-step explanation:
first, you do 9*9=81
secound, you put 81/3
third, then you divide 81/3=27
the answer is 27
2y + 18x = 2x(x + 9)
3(y - 4) = 9x - 12-6
Help! Please show work and match the algebraic functions to the correct graph.
Answer:
2y + 18x = 2x(x + 9) ⇒ Graph II
3(y - 4) = 9x - 12-6 ⇒ Graph I
Step-by-step explanation:
Graph II is the only non-linear function since, correctly, it is written that it is not straight, i.e. it has a varying gradient/rate of change.
Answer:
Graph 2 is a curved graph and matches x^2 measured data.
Step-by-step explanation:
Which tree diagram shows all of the possible outcomes for tossing a coin and rolling a fair number pyramid that
has four sides labeled 1 through 4?
Answer:
D : This is because there are 8 outcomes and 2 events.
It cannot be C as C does not show true event outcomes on each H or T event.
Step-by-step explanation:
Tree diagram (D) shows all of the possible outcomes for tossing a coin and rolling a fair number pyramid that has four sides labeled 1 through 4 option (D) is correct.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
We have a coin:
The coin has two faces: head and tail
possibility set = {H, T}
Number of total possible outcomes = 2
In a pyramid that has four sides labeled 1 through 4:
possibility set = {1, 2, 3, 4]
So a number of possible outcomes = 4
If the tossing a coin and rolling a fair number of pyramid
So the number of possible outcomes = 2×4 = 8
Thus, tree diagram (D) shows all of the possible outcomes for tossing a coin and rolling a fair number pyramid that has four sides labeled 1 through 4 option (D) is correct.
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What is the value of (-1/4 - 1/2) divided by (-4/7)
Answer: -1.3125
Step-by-step explanation:
(-1/4 - 1/2) = -0.75
-0.75/[tex]\frac{4}{7}[/tex] = -1.3125
Which expression represents the polynomial −2x3−4x2+2x4+3x+4 rewritten in standard form?
Answer:
10 x^4 - 8x^5
Explanation:
To write a polynomial in standard form, simplify and then arrange the terms in descending order. Ex. ax^2+ax+c
Then you would simplify
−2 x−5(x^2x^2)−2x4(x^2x^3)
Simplify each term
= 10 x^4 - 8x^5
Write the standard equation of the circle with center (-1, 2) and radius 7.
a
b
(x + 1)2 + (y-2) - 7
(x - 2)2+(y+1) - 49
(x+1)+(y-2) - 49
(x-1) + (y+2) = 49
Answer:
(X+1)^2+(y-2)^2=49
Step-by-step explanation:
Standard Equation of a circle: [tex](x-h)^{2} +(y-v)^{2}[/tex]=[tex]r^{2}[/tex]
Center: (-1,2)
Radius: 7
Equation would be: [tex](x+1)^2+(y-2)^2=49[/tex]
c. Aria was having a birthday party for her friend. She ordered two pizzas for the party.
Each pizza had 24 slices. When the party was over, 17 slices were left. How many
slices of pizza were eaten at the party.
Answer:
31
Step-by-step explanation:
Each pizza had 24 slices so 2 pizzas had 24+24 or 24x2 = 48 slices
If only 17 remains, 48-17 = 31 slices got eaten
Answer:
31 eaten
Step-by-step explanation:
She started with 2 pizzas with 24 slices each
2*24 = 48
17 slices were left
48 - 17 = 31
That means 31 were eaten
A point (3, –2) is reflected across the x-axis followed by a reflection across the y-axis. Find the image of the point after the described transformations. answers: A) (3, –2) B) (3, 2) C) (–3, –2) D) (–3, 2)
Answer:
D. (-3, 2)
Step-by-step explanation:
The original point is (3, -2)
The rule for reflecting across the x-axis is (x, y) -> (x, -y)
(3, -2) -> (3, 2)
The rule for reflecting across the y-axis is (x, y) -> (-x, y)
(3, 2) -> (-3, 2)
We want to find the image of the point (3, -2) after two reflections.
The correct option is D: (-3, 2)
Now let's see how to solve this.
The first thing we need to do is describe the two reflections.
For a general point (x, y), a reflection across the x-axis will give the point (x, -y).
And a reflection across the y-axis will give the point (-x, y).
So, if we start with the point (3, -2).
Then we reflect this across the x-axis, it gives the point: (3, -(-2)) = (3, 2)
Now we have a reflection across the y-axis, it gives the point (-3, 2)
So the image of the point after the two reflections is (-3, 2), meaning that the correct option is D.
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Solve the following equation. Then place the correct number in the box provided. Leave answer in terms of a mixed
8x/7=8
X=?
Answer:
Step-by-step explanation:
[tex]\frac{8x}{7}=8[/tex]
Multiply both sides by 7
[tex]7*\frac{8x}{7}=8*7\\\\8x=8*7\\[/tex]
Divide both sides by 8
[tex]\frac{8x}{8}=\frac{8*7}{8}\\[/tex]
x = 7
Answer:
-The value of [tex]x[/tex]:
[tex]x = 7[/tex]
Step-by-step explanation:
-Solve for the value of [tex]x[/tex]:
[tex]\frac{8x}{7} = 8[/tex]
-Multiply both sides by the denominator, which is [tex]7[/tex]:
[tex]7\cdot \frac{8x}{7} = 8 \cdot 7[/tex]
[tex]8x = 56[/tex]
-Divide both sides by 8:
[tex]\frac{8x}{8} = \frac{56}{8}[/tex]
[tex]x = 7[/tex]
So, the value of [tex]x[/tex], would be [tex]x = 7[/tex].
Solve for w: 3(w+2) = 6 + 3w
Answer:
0
Step-by-step explanation:
you open bracket you get 3w+6=6+3w you collect like terms
you get 3w-3w=6-6
answer o=o which is 0
Jason has two pairs of pants, four shirts, and two pairs of shoes from which to choose to wear to school. How many possible outcomes does Jason have? A. 2 B. 4 C. 8 D. 16
Answer:
16 as 2 x 4 x 2 = 16
Step-by-step explanation:
just like on a dice we have 2 dice and 36 outcomes we multiply 6 x 6 to find it answers 36.
With Jason's outcomes he has 2 x 4 x 2 = 16
Answer:
16
Step-by-step explanation:
2 pants * 4 shirts * 2 shoes = 16
please mark me brainliest :)
Which expression is modeled by this set of arrows on the number line? A number line going from negative 8 to positive 8. An open circle is at 0. An arrow goes from 0 to negative 3, and from negative 3 to negative 6. Negative 6 divided by (negative 3) Negative 6 divided by 3 6 divided by (negative 3) 6 divided by 3
Answer:
A -6 divided by (-3)
Step-by-step explanation:
pls give brainliest!!! i would REALLY appreciate it! hope i helped :3
The expression which model the given statement is
" negative six is divided by negative 3"
What is expression?The mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between is called expression.
According to the given question.
An arrow goes from 0 to -3. And then -3 to -6.
This shows that from 0 to -6 the line in divided into two parts. And each part is 3 units.
Therefore, the expression which model the given statement is
" negative six is divided by negative 3"
or [tex]\frac{-6}{-3}[/tex] which is equals to 2.
Hence, the required expression is -6/-3.
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provide the value of k:
(2x-1)(kx+1)=6x^2-x-1
Answer:
k = 3
Step-by-step explanation:
Expand the left side and compare the coefficients of like terms on both sides.
(2x - 1)(kx + 1) ← expand using FOIL
= 2kx² + 2x - kx - 1
Compare the coefficients of the x² term on both sides
2k = 6 ( divide both sides by 2 )
k = 3
Answer:
k= 6x-3/2x-1
Step-by-step explanation:
Help somebody please
Answer:
[tex]62[/tex]
Step-by-step explanation:
[tex]2x^2+15x-1[/tex]
[tex]2(3)^2+15(3)-1[/tex]
[tex]2(9)+15(3)-1[/tex]
[tex]18+45-1[/tex]
[tex]=62[/tex]
[tex]answer \\ = 62 \\ solution \\ x = 3 \\ 2 {x}^{2} + 15x - 1 \\ = 2 {(3)}^{2} + 15 \times 3 - 1 \\ = 2 \times 9 + 45 - 1 \\ = 18 + 45 - 1 \\ = 63 - 1 \\ = 62 \\ hope \: it \: helps[/tex]
a toy car can go 3 mph. How long would it take to go 4 mph
Answer:
1 hour
Step-by-step explanation:
mph means miles per hour so in 1 mile it would be 1 hour
(a) Find an angle between 0 and 2π that is coterminal with −19π10.
Answer:
[tex]\dfrac{\pi}{10}[/tex].
Step-by-step explanation:
All coterminal angles of an angle [tex]\theta[/tex] are defined as
[tex]\theta +2n\pi[/tex] or [tex]\theta + n360^{\circ}[/tex]
where, n is an integer.
The given angle is
[tex]\theta=-\dfrac{19\pi}{10}[/tex]
So, all coterminal angles of an angle [tex]\theta[/tex] are
[tex]-\dfrac{19\pi}{10}+2n\pi[/tex]
For n=1,
[tex]\Rightarrow -\dfrac{19\pi}{10}+2(1)\pi[/tex]
[tex]\Rightarrow -\dfrac{19\pi}{10}+2\pi[/tex]
[tex]\Rightarrow \dfrac{-19\pi+20\pi}{10}[/tex]
[tex]\Rightarrow \dfrac{1\pi}{10}[/tex]
Since, [tex]\dfrac{\pi}{10}[/tex] between 0 and 2π, therefore, the required coterminal angle is [tex]\dfrac{\pi}{10}[/tex].
Use the given D to find the range of each function: e f(x)=x−4, D={−2, −1, 3}
PLS HELP!!! URGENT
Answer: R={-6,-5,-1}
Step-by-step explanation:
If D= -2
substitute x for -2
f(x)= -2-4=-6
then do that for the rest
The surface area of the prism is ______ square units. All measurements in the image below are in units. (Input the whole number only.)
what is the vertex of y=1/2(x+4)^2+1
A person who can afford a monthly payment of
and agreed to a
monthly payment of
was most likely the victim of predatory
lending
Answer:
D
Step-by-step explanation:
