Answer: each number after the third number is the sum of the preceding three numbers. For example, if the first three numbers are 5, 6, and 7, then the fourth number is 18 because 5 + 6 + 7 = 18 and the fifth number is 31 because 6 + 7 + 18 = 31.
Step-by-step explanation:
9. Find the number of possible color arrangements for the 12 given disks, arranged in a row.
5 black, 3 red, 2 white, 2 green
Answer:
479001600
Step-by-step explanation:
There are 12 possible outcomes. So you do 12 factorial. Which is 12 x 11 x 10... and so on going down till one.
Select the equivalent expression. (3² - 5)³ =?
Answer:
(9 - 5)^3 = ?
or
9^3 - 5^3 = ?
Answer:
64
Step-by-step explanation:
The computation inside the parentheses must be done first according to Order of Operations rules:
(3² - 5)³ = (9 - 5)³ = 4³ = 64
The Empire State Building is just over 1,450 feet tall. In anticipation of visiting this landmark on your vacation, you create a model of it using blocks.
a) Suppose you are making a model where one block represents 2 feet. About how many blocks tall is your model of the Empire State Building? What is the scale factor?
Answer:
365 and 1/2 blocks will be used
The scale fact is 0.25
Step-by-step explanation:
So . .
We create a ratio 1:2This represents 1 block is equivalent to 2 feet
Simply 1450 ÷ 2 = 725So . . There are 725 feet and because One block is equal to 2 feet you divide 725 ÷ 2 = 362.5 blocks will be used
To find the scale factor simply divide the deminsions of the new shape by old
362.5 ÷ 1450 = .25HELP FAST !! What is the correct answer? I think that it’s the last one.
Answer: The third one
Step-by-step explanation: 1/21(z)=42 z=882. If you check each equation with each other the answer is correct. Also 882/21=42
Answer:
C or D
Step-by-step explanation:
its either one of those two but go woth which ever you thuink
Which table shows a proportional relationship between x and y?
x 1 2 5 7
y 5 10 25 35
x 1 4 5 10
y 15 60 70 120
x 3 4.5 8 12
y 2 3 4 8
x 8 12 14 16
y 2 3 4 5
Look at the coordinate plane below. Give directions of how to get to the point representing the duck pond, from the origin (0,0).
Answer:
Answer below in step section
Step-by-step explanation:
First we see the duck pond is at point (7,5) on the graph.
One way to get from (0,0) to (7,5) is to go up 5 points from the orgin and then turn right and go 7 points to get to Duck Pond.
Let me know if you need different directions because there are multiple ways to get from the orgin to the duck pond point!
In what step did he make an error?
Answer:
step 4
Step-by-step explanation:
because y is equation 2 is -y so the sign should have changed for -2x it should have been +2x since - and - equals to +
The picture shows a circular clock face.
The long hand of the clock is about 5 inches long. What is the approximate area of the clock face?
A. 5π
square inches
B.
10
π
square inches
C.
25
π
square inches
D.
100
π
square inches
Answer:
[C] 25π square inches
Step-by-step explanation:
Given that:
the long hand of the clock is about 5 inches long.
To Find:
What is the approximate area of the clock face?
Solve:
Formula - A =πr²
Note that;
π = 3.14 (about)
Radius - 5 inches
A =πr²
A = 3.14(5)²
A = 3.14(25)
A = 78.5
Now let see the answer choices:
A. 5π square inches ≈ 5(3.14) = 15.7
B. 10 π square inches ≈ 10(3.14) = 31.4
C. 25 π square inches ≈ 25(3.14) = 78.5
D. 100 π square inches ≈ 100(3.14) = 314
Hence, the answer is [C] 25 π square inches
Kavinsky~
Answer:
[C] 25π square inches
Step-by-step explanation:
25(3.14) = 78.5
please help
Find the volume of the triangular prism.
I only have a few min
Answer:
18 +2 + 2.5 + 3 = 25.5
Step-by-step explanation:
just add
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPWILL MARK BRAINLIEST
1. 4x' = 36 in
x' = 9 in
As it's increased by 6 inches we get x = 9-6 = 3 in.
An equation for this is 4x'/4-6 = x
2. 2x-26=4 ==> x = (4+26)/2 (which is $15 each)
answer
1. 9 inches and 2. $18
Step-by-step explanation:
The two plots below show the heights of some sixth graders and some seventh graders of a school:
The mean absolute deviation (MAD) for the first set of data is 1.2 and the MAD for the second set of data is 0.7. Approximately how many times the variability in the heights of the seventh graders is the variability in the heights of the sixth graders? (Round all values to the tenths place.)
A. 0.5
B. 1.2
C. 1.7
D. 3.4
Answer
(B) 1.2
Step-by-step explanation:
Simplify the following algebraic expressions.
A) -2x + 5 + 10x - 9
B) 3(x + 7) + 2(-x + 4) + 5x
Hey need some help, I don't really under stand, I see that every one of them can be divided by 8 though. Thanks for the help!
Answer:
the answer should be 1:8 or 1/8 either way it tells you in the scale factor and in the fraction so remember we need to divide first the sculpture then the model since the sculpture has highest numbers and then the mode so as shown below here are the results of each one.
56/7=8
40/5=8
72/9=8
so the scale factor should be 1:8 since 8 units is 8 units in real life since and the fraction should be 1/8 so hopefully those are the correct answer and tell me if i am wrong so i can correct the answer to make it better.
Step-by-step explanation:
Find the value of x [tex]\frac{3}{2}x+5=14.[/tex]
Answer:
x=6
Step-by-step explanation:
bc 3/2 x 6 = 18/2 = 9 9+5=14
Answer: 6
Step-by-step explanation:
(3/2)x + 5 = 14
(3/2)x = 14 - 5
(3/2)x = 9
x = 9 / (3/2)
x = 9*2/3
x = 18/3
x = 6
Please help I WILL GIVE BRAINLYEST
PLEASE HELP ME BRAINLEST!!!11
Which line plot displays a data set with an outlier?
Answer: The last option
Step-by-step explanation: The other plots have the data in a cirtain range on the line but the last one looks a bit different. The range for the rest of the data on this plot is 11-16 but you will notice that there is another point by itsself at 23 making it an outlier.
Hope this was helpful!
The cylinder and the cone have the same volume and the same height. If the radius of the base of the cone is 3 cm, then the radius of the base of the cylinder is _____ cm.
Step-by-step explanation:
I hope you understood if yes mark me brainliest
Can anyone slove this?
Answer:
27.7 is you answer I'm like 89 percent sure
Answer:27.7
Step-by-step explanation: Since it is a right angle (90°) you do 90-62.3=27.7
64. If six black, five red, four white, and two green disks are to be arranged in a row, what is the number of possible color arrangements?
Pls Help AGAIN! I will mark brainliest if correct!
The rectangular prism has ___ lateral faces.
A. 3
B. 4
C. 6
D. 8
The rectangular prism has a surface area of ____ square inches.
A. 127
B. 198
C. 252
D. 264
Answer:
• the rectangular prism has 4 lateral faces.
• the rectangular prism has a surface area of 254 square inches.
Step-by-step explanation:
are you sure you copied the choices right?
because as far as i know the second one, the surface area of the rectangular prism is 254 square inches.
Answer:
The rectangular prism has 4 lateral faces.
Explanation: a rectangular prism has 4 long faces.
The rectangular prism has a surface area of 254 square inches.
Explanation: use the surface area formula: A=2(wl+hl+hw)
W=7
L=9
H=4
A= 2(7*9+4*9+4*7)
A= 2(127)
A= 254 square inches
Hope this helps!
WILL MARK BRIANLEST!!!!!!!!!! Find the relationship between the quantities in the table. Then use the relationship to calculate the missing value in the table.
A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 3, 4. Column 2 is labeled y with entries 9, 18, A, 36.
The relationship between the quantities in the table is x
+ 16
equals y.
A =
Answer: A=9
Step-by-step explanation:
The equation for this table is x+16 =Y.
To solve for Y, we must plug in. (in other words, substitute the letters with (known) numbers).
A is in the 3rd row under the Y column. Hence, we will use the X value found in the same row, which is 3.
A= x+16
A= 3+16
A= 19
Hope this helps :)), brainliest would be appreciated :D
Sketching a Hyperbola In Exercises 19-32, find the center, vertices, foci, and the equations of the asymptotes of the hyperbola. Then sketch the hyperbola using the asymptotes as an aid.
25. \frac{(x-1)^{2}}{4}-\frac{(y+2)^{2}}{1}=1
Step-by-step explanation:
her this is the answer for the question
Mira rode her bicycle 20 km in 2 h. At that rate, how far did Mira ride each hour? Each half hour?
please help i need help
Not my work, but it was expert verified if that help! Have a lovely day!
You have a stack of sticky notes in six different colors. There are 600 sticky notes in the stack(100 of each color). The height is 6 cm, and the width and length are both 7.62 cm. The six colors are stacked on top of each other with the height(so each colored stack is 1cm).
1. What is the volume of each section? Describe two methods to find the volume of one of the sections.
2. What is the height of one sticky note? Describe two methods to find the height of one sticky note.
---------------------------------------------------------------------------------------------------------------------
3. A stack of circular sticky notes has 400 sticky notes in total. The cylinder has a diameter of 3 in. and a height of 0.8 in. Find the surface area of one sticky note. Use 3.14 for pi. Show your steps.
Thank you so much for helping!!
Answer:
1. 58.0644
2. 0.01
3. 14.16
Step-by-step explanation:
1. V = l*w*h
v = 7.62*7.62*1
v = 58.0644
or
v = 7.62*7.62*6
v = 348.3864
v = 348.3864/6
v = 58.0644
2. 1cm/ 100 sticky notes = 0.01
6cm/ 600 sticky notes = 0.01
3. A=2πrh+2πr2
=2·π·1.5·2×0.002+2·π·1.52
=14.15602
The volume of each section will be 58.09364[tex]cm^3[/tex]. The height of one sticky note is 0.06 cm and the surface area of one sticky note is 0.02376 sq inch.
1)The volume of one sticky note can be calculated using the formula for the volume of a rectangular prism :[tex]V = l \times w \times h[/tex], where l is the length, w is the width, and h is the height.
Length (l) = 7.62 cm
Width (w) = 7.62 cm
Height (h) = 1 cm (for each colored stack)
Substituting the values into the formula:
V = [tex]7.62 cm \times 7.62 cm \times 1 cm[/tex]
V = 58.09364[tex]cm^3[/tex].
Since there are 100 sticky notes of each color, the volume of each section can be found by multiplying the volume of one sticky note by 100:
Volume of each section =[tex]58.09364 cm^3 \times 100[/tex]
Volume of each section = 5809.364 cm³
Method 2: Using the total volume of the stack and proportions
The total volume of the stack can be calculated by multiplying the area of the base (length × width) by the total height of the stack.
Given:
Length (l) = 7.62 cm
Width (w) = 7.62 cm
Height of stack = 6 cm
Volume of stack = l × w × height of stack
Volume of stack =[tex]7.62 cm \times 7.62 cm \times 6 cm[/tex]
Volume of stack = 349.52544[tex]cm^3[/tex] (rounded to five decimal places)
Since the stack contains 600 sticky notes in total and each section represents one-sixth of the stack, we can calculate the volume of each section by dividing the total volume by 6:
Volume of each section = Volume of stack divided by 6
Volume of each section =[tex]\dfrac{349.52544 }{6} cm^3[/tex]
Volume of each section = 58.25424 cm³ (rounded to five decimal places)
The height of one sticky note, we can divide the total height of the stack by the number of sticky notes of each color.
Method 1: Direct division
The height of one sticky note can be found by dividing the total height of the stack by the number of sticky notes in each colored section.
Height of stack = 6 cm
Number of sticky notes per color = 100
Height of one sticky note = [tex]\dfrac{Height of stack } {Number\ of \ sticky \ notes \ per \ color}[/tex]
Height of one sticky note =[tex]\dfrac{6}{100}cm[/tex]
Height of one sticky note = 0.06 cm
By Using proportions, method 2 can be solved
Since each colored section represents one-sixth of the stack, the height of one sticky note can be found by multiplying the height of the stack by [tex]\dfrac{1}{6}[/tex].
Height of stack = 6 cm
Height of one sticky note =[tex]Height of stack \times\dfrac{1}{6}[/tex]
Height of one sticky note =[tex]6\times \dfrac{1}{6}[/tex]
Height of one sticky note = 1 cm
To find the surface area of one sticky note in the circular stack, we need to calculate the surface area of the cylinder and then divide it by the number of sticky notes.
Total number of sticky notes = 400
Diameter of cylinder = 3 in
Height of cylinder = 0.8 in
[tex]\pi[/tex] = 3.14
Calculate the surface area of the cylinder using the formula for the lateral surface area of a cylinder:[tex]A = 2\pi rh[/tex], where r is the radius and h is the height.
Radius (r) = [tex]\dfrac{3}{2}[/tex] = 1.5 in
Lateral Surface Area (A) = [tex]2\pi rh[/tex]
A = [tex]2 \times 3.14 \times 1.5 \times 0.8[/tex] in
A = 9.504 sq inch (rounded to three decimal places)
Since there are 400 sticky notes, we can calculate the surface area of one sticky note by dividing the total surface area by 400:
Surface area of one sticky note = [tex]\dfrac{A}{Total\ number of \ sticky \ notes}[/tex]
Surface area of one sticky note = [tex]\dfrac{9.504 }{400}sq \ inch[/tex]
Surface area of one sticky note ≈ 0.02376 sq inch.
The volume of each section will be 58.09364[tex]cm^3[/tex]. The height of one sticky note is 0.06 cm and the surface area of one sticky note is 0.02376 sq inch.
Learn more about cylinder here:
https://brainly.com/question/3216899
#SPJ6
FIRST CORRECT ANSWER GETS BRAINLIEST
Answer:
121.2 cm^2
Step-by-step explanation:
Surface area:
6 x 5.5 x 2 = 6 x 11 = 66 cm^2
6 x 2.4 x 2 = 12 x 2.4 = 28.8 cm^2
5.5 x 2.4 x 2 = 11 x 2.4 = 26.4 cm^2
Total surface area = 66 + 28.8 + 26.4 = 94.8+ 26.4 = 121.2 cm^2
Find the GCF of each pair of monomials 10x and 25
Answer:
5
Step-by-step explanation:
1 - Write the prime factorization of each monomial:
10x = 2 · [tex]\boxed{5}[/tex] · x
25 = [tex]\boxed{5}[/tex] · 5
The greatest common factor of the two minomials is:
5
Circle Q has center (10,10) and a radius of 2. Circle Q' is formed by dilating Circle Q by a factor of 1/2, which statement is true?
I NEED HELP ASAPPPP PLSS!!!!
Answer:
(a) Describe the rule for translating center Q onto center P.
center P(2, 0)
center Q(0, 4)
you would need to add 2 units in x axis, and subtract 4 units on y axis.
(b) Determine the scale factor for dilating circle Q so that it has the same radius as circle P.
P radius 20, Q radius 2, radiusQ*10 = radiusP, so the scale factor is 10
(c) Are circles P and Q similar? Explain your answer.
they are similar because a similarity transformation (translation, dilation) exists between them
Step-by-step explanation:
Circle Q' is formed by dilating Circle Q by a factor of 10.
What is the scale factor?The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic.
To Describe the rule for translating center Q onto center P.
center P(2, 0) and center Q(0, 4)
We would need to add 2 units on x-axis, and subtract 4 units on y-axis.
To find the scale factor for dilating circle Q ,so that it has the same radius as circle P.
P radius 20, Q radius 2, radius Q x 10 = radius P, so the scale factor is 10
It is found that they are similar because a similarity transformation (translation, dilation) exists between them.
Learn more about scale factors here :
https://brainly.com/question/8765466
#SPJ2
The circumference of the inner circle is 44 ft. The distance between the inner circle and the outer circle is 4 ft. By how many feet is the circumference of the outer circle greater than the circumference of the inner circle? Use 22/7 for pi
Answer:
40 ft. branliest maybe? Have a great day!
Tom and Susan park at different lots. To see which lot is busier, they count the numbers of cars in the lots each day as they arrive. Their data are shown in the box plots. Image of a number line with box plot for Tom's data and a box plot for Susan's data Answer the questions to compare the variability of the data sets. 1. What is the interquartile range for Tom's data? Explain how you found the interquartile range. Write your answer in the space below. 2. What is the interquartile range for Susan's data? Write your answer in the space below. 3. Whose data are more variable? Write your answer in the space below.
Answer:
Please see my Work, Attached.
Step-by-step explanation: