Step-by-step explanation:
16, 48, 144
hmmm.
the first thing that comes to mind : it cannot be an addition, as the difference between the 2nd and 3rd numbers is much bigger than the difference between the 1st and 2nd numbers.
so, we try multiplication.
and I see : 16×3 = 48
aha !
48×3 = 144
ok, we found it. the sequence is clearly created by multiplying always the previous number by 3.
so, we have 2 main choices to get the 6th term :
1. simply calculate 144 ×3×3×3 (3 times to get from the 3rd to the 6th term).
2. define the sequence formula and calculate for the 6th term.
1.
144 × 3×3×3 = 144 × 27 = 3,888
2.
a1 = 16
a2 = a1×3 = 16×3 = 48
a3 = a2×3 = a1×3×3 = 16×9 = 144
an = a1 × 3^(n-1) = 16 × 3^(n-1)
a6 = 16 × 3⁵ = 16 × 243 = 3,888
least number which is dividable by 12,15,20
Answer:
[tex]\huge\boxed{\bf\:1}[/tex]
Step-by-step explanation:
At first, let's factorise the given three numbers.
[tex]12\\= 4 * 3*1\\= \underline {2*2*3*1}[/tex]
[tex]15\\= \underline{5*3*1}[/tex]
[tex]20\\= 4*5*1\\=\underline {2*2*5*1}[/tex]
Here, from the given factors, we can see that the three numbers (12, 15 & 20) don't have any common factors except for 1.
•°• The least numbers divisible by 12, 15 & 20 is 1.
[tex]\rule{150pt}{2pt}[/tex]
689x+47x-89 dose anyone know how to solve this?
Answer:
736x-89
Step-by-step explanation:
i think all you can do here is add the numbers that have an X in them so adding 689x+47x=736x and you leave the 89 so it becomes 736x-89
Answer:
736x-89
Step-by-step explanation:
first add the like terms (numbers with the same variables)
so now the equation is 736x-89
If sin x= 24/25 and cos x=7/25, what does tan x equal? What is the simplified fraction
Answer:
24/7 = 3 3/7
Step-by-step explanation:
Always remember the formula:
tan x = (sin x)/(cos x)
[tex]tan \: x = \frac{sin \: x}{cos \: x} \\ = \frac{ \frac{24}{25} }{ \frac{7}{25} } \\ = \frac{24}{7} [/tex]
Which of the following is equivalent to 5x - 19?
A) 7(4 - 2x) + 9 (x - 1)
B) 6x - (x - 11) + 8
C) 10 - 3(x - 3) - 2x
D) -3x + 4(2x - 6) + 5
Answer:
B
Step-by-step explanation:
6-1+11 +8
5x+19
therefore the answer is 5x + 19
The expression which is equivalent to 5x - 19 is D) -3x + 4(2x - 6) + 5.
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Given an expression,
5x - 19
We have to find the equivalent expression.
Find the value of each expression in the options.
A) 7(4 - 2x) + 9 (x - 1) = 28 - 14x + 9x - 9 = -5x + 19
B) 6x - (x - 11) + 8
= 5x + 11 + 8 = 5x + 19
C) 10 - 3(x - 3) - 2x
10 - 3x + 9 - 2x = -5x + 19
D) -3x + 4(2x - 6) + 5
-3x + 8x - 24 + 5 = 5x - 19
Hence the correct option is D.
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What expression can be used to add 3/4 + 1/6
Answer:
11 / 12 or 0.9167
Step-by-step explanation:
Given:
3/4 + 1/6
Find:
Value with expression
Computation:
"3/4 added to number 1/6"
3/4 + 1/6
By taking LCM
[9 + 2] / 12
11 / 12 or 0.9167
brainliest?
no links pls or pdf thanks
Answer:
x = 45 degrees
Step-by-step explanation:
The angles is 90 degrees because it is a corner. Half of 90 is 45.
HELPPPPPP MEEE PLSSS
Answer:
208
Step-by-step explanation:
the formula is:
2*(width*lenght+height*lenght+height*width)
2*(6*8+4*8+4*6)
208
Hey ! there
Answer:
208 m²Step-by-step explanation:
In this question we are provided a net of cuboid with ,
Length = 8 mWidth = 6 mHeight = 4 mAnd we are asking to find the surface area of the figure ( cuboid ) . We know that ,
[tex] \quad\underline{ \boxed{\sf{Surface \: Area_{(Cuboid)} = 2 ( lw + wh + hl )}}}[/tex]
Where ,
l refers to lengthw refers to widthh refers to heightSolution : -
[tex] \longmapsto \qquad \: 2((8 \times 6) + (6 \times 4) + (4 \times 8))[/tex]
[tex] \longmapsto \qquad \: 2(48 + 24 + 32)[/tex]
[tex] \longmapsto \qquad \: 2(48 + 56)[/tex]
[tex] \longmapsto \qquad \:2(104)[/tex]
[tex] \longmapsto \qquad \: \blue{\underline{\boxed{\frak{208 \: m {}^{2} }}}} \quad\bigstar[/tex]
Therefore , surface area of cuboid is 208 square metres .#Keep LearningUrgent. There are 12 coloured counters in a bag. The counters are black, white or grey A counter is chosen at random. The probability that the counter is not black is 3/4. The probability that the counter is not white is 2/3. Work out the probability that the counter is grey.
Answer:
1/12
Step-by-step explanation:
Needed information
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
The sum of the probabilities of all outcomes must equal 1
Solution
We are told that the probability that the counter is not black is 3/4.
As the sum of the probabilities of all outcomes must equal 1, we can work out the probability that the counter is black by subtracting 3/4 from 1:
[tex]\sf P(counter\:not\:black)=\dfrac34[/tex]
[tex]\implies \sf P(counter\:black)=1-\dfrac34=\dfrac14[/tex]
We are told that the probability that the counter is not white is 2/3.
As the sum of the probabilities of all outcomes must equal 1, we can work out the probability that the counter is white by subtracting 2/3 from 1:
[tex]\sf P(counter\:not\:white)=\dfrac23[/tex]
[tex]\implies \sf P(counter\:white)=1-\dfrac23=\dfrac13[/tex]
We are told that there are black, white and grey counters in the bag. We also know that the sum of the probabilities of all outcomes must equal 1. Therefore, we can work out the probability the counter is grey by subtracting the probability the counter is black and the probability the counter is white from 1:
[tex]\begin{aligned}\sf P(counter\:grey) & = \sf1-P(counter\:black)-P(counter\:white)\\\\ & =\sf 1-\dfrac14-\dfrac13\\\\ & = \sf \dfrac{12}{12}-\dfrac{3}{12}-\dfrac{4}{12}\\\\ & = \sf \dfrac{12-3-4}{12}\\\\ & = \sf \dfrac{5}{12}\end{aligned}[/tex]
In 2005, the population of a state was 31,006,000. If the population grows at 1. 2% per year, approximately how many years ( from 2005 ) it will take for the population to reach 40,000,000? ( assuming it grows at the same rate )
Answer:
21
Step-by-step explanation:
Trial and error into (APPROXIMATELY)
y=31,006,000(1+.012)^x
To make a quiche, you need 1 tablespoon of butter for every 6 eggs. Write a ratio that compares these two quantities. Which ratios are equivalent to this ratio? Check all that apply.
12 eggs Over 2 tablespoons
15 eggs Over 3 tablespoons
24 eggs Over 4 tablespoons
9 eggs Over 1.5 tablespoons
Answer:
12 eggs over 2 tablespoons, 24 eggs over 4 tablespoons, and 9 eggs over 1.5 tablespoons
Step-by-step explanation:
1 tablespoon of butter for every 6 eggs makes the ratio 6:1
Now let's make the ratio for all of them:
12:2
15:3
24:4
9:1.5
We can simplify them
6:1
5:1
6:1
6:1
There is your answer,
1) 12 eggs Over 2 tablespoons
2) 15 eggs Over 3 tablespoons
3) 9 eggs Over 1.5 tablespoons
Hope it helped :)
write each quotation as a fraction or mixed number
Step-by-step explanation:
wheres. the. quatation it doesnt say
An angle measures 140.6° more than the measure of its supplementary angle. What is the measure of each angle?
Answer:
angle one is 23.3
Step-by-step explanation:
yw
can someone help me with this?
Answer:
30°
Explanation:
∠LMP + ∠PMN = 180°
[∠LMO + ∠OMP] + [∠PMR + ∠RMN] = 180°
FIND x
(x - 10) + (x + 30) + x + 40 = 180
3x - 10 + 30 + 40 = 180
3x + 60 = 180
3x = 120
x =40
FIND ∠LMO
∠LMO = x - 10
∠LMO = (40) - 10
∠LMO = 30°
Hope this helps and God bless!
Answer:
∠LMO = 30°
Step-by-step explanation:
Angles on a straight line add up to 180°
⇒ (x - 10)° + (x + 30)° + 40° + x° = 180°
⇒ x° + x° + x° - 10° + 30° + 40° = 180°
⇒ 3x° + 60° = 180°
⇒ 3x° = 120°
⇒ x = 40
Substitute found value of x into the expression for ∠LMO:
⇒ ∠LMO = (40 - 10)°
⇒ ∠LMO = 30°
If you put $2,000 in an account at an annual simple interest rate of 5%, how long will it take your balance
to grow to $2,600? (Hint: How many years will it take to earn $600 worth of interest?)
Answer:
After investing for 10 years at 5% interest, your $2,000 investment will have grown to $3,258
Step-by-step explanation:
Your welcome
Help me pleaseeeee :)
Answer:
The answer to 6^4 is 1296
Step-by-step explanation:
2x2x2x2 = 16 (you have to multiply the 2 four times because you have a little four on top of the two)
3x3x3x3 = 81 (you have to multiply the 3 four times because you have a little four on top of the three)
16x81 = 1296 (6^4 = 6x6x6x6 = 1296)
PLEASE HELP ME! 100 POINTS and BRAINLIEST!
Consider this dilation.
Hint: Remember the notation for the original figure and the figure after it has undergone transformation.
(a) Is the image of the dilation a reduction or an enlargement of the original figure? Explain.
(b) What is the scale factor? Explain and show your work.
Answer:
(a) Reduction
(b) scale factor = 1/2
Step-by-step explanation:
(a) A reduction is a dilation that creates a smaller image.
As A'B'C'D' is smaller than ABCD, image A'B'C'D' is a reduction of image ABCD.
(b) To find the scale factor:
find the center of dilation by connecting the corresponding points from the original and dilated image and finding where these lines intersect (see attached image)measure from the center of dilation to a point on the original image.measure from the center of dilation to the corresponding point on the dilated image.Divide the distance to the dilated image by the distance to the original image.center of dilation = (0, 0)
(0, 0) to point C = 4 units
(0, 0) to point C' = 2 units
⇒ scale factor = 2/4 = 1/2
GIVING BRAINLIEST TO THE PERSON THAT CAN EXPLAIN THIS THE BEST (:
Answer:
30 inches
Step-by-step explanation:
In equilateral triangle all sides are equal. One side of the triangle EB is also the side of a square.
So, all the sides of the square is 6 inches
Perimeter = sum of all sides
= AB + BC + CD + DE + EA
= 6 + 6 + 6 + 6 + 6
= 5*6
= 30 inches
Answer:
Here,
length of the square BCDE(l)= 6 inches
Also,
length of the equilateral triangle ABE(l)=6 inches
Lastly, Perimeter of figure ABCDE= 5*6
=30 inches
or,Perimeter of the figure ABCDE also=
AB+BC+CD+DE+EA
=6+6+6+6+6
=30inches
Step-by-step explanation:
We know,
length DC of the square BCDE(l)=6inches
So,
DC=BC=BE=DE (All sides of a square are equal)
Again,
length BE of the equilateral triangle ABE=6inches
So,
BE=AB=AE (All sides of a equilateral triangle are equal)
Therefore, Perimeter of figure ABCDE=
AB+BC+CD+DE+EA or, 5*6
(perimeter means to sum all the outer sides a given polygon, in this case it's a Pentagon)
Please read cautiouly with patience
a. If mQR = 80° and mQS = 150°, what is mZP?
Answer:
mP = 35
Step-by-step explanation:
QR = 80
QS = 150
The measure of the angle formed by a secant and a tangent intersecting in the exterior of a circle is half the difference between the measures of the intercepted arcs.
This means that (150-80)/2 = mP
mP = 35 degrees
Hope this helps!
help please )question 2
A factory produces 80,000 candies each day. They produce equal quantities of four flavors: cherry, lemon, orange, and strawberry. The candies are mixed together during packaging.
What is the probability that a randomly selected candy is orange?
0.25 is the probability that the randomly selected candy is orange
Light travels at approximately 2.998 x 10^5km/s (correct to 4 significant figures. The distance
between the Sun and the Earth is 1.495 X 10^8 km. How long would it take for light to travel from
the Sun to the Earth? Give your answer in scientific notation correct to 3 significant figures.
Answer:
498.66577718478985990660440293529019346230820547031354236157438292 seconds
Step-by-step explanation:
14. Which of the following equations is equivalent to = 3/5=12/x-2
36 = 5x - 10
3x - 2 = 60
15 = 12x - 24
3x - 6 = 60
Answer:
3x - 6 = 60
Step-by-step explanation:
[tex]\frac{3}{5} =\frac{12}{x-2}[/tex]
5*12 = 3*(x-2)
60 = 3x - 6
A bag has 16 marbles in it: 6 red, 4 blue, 3 yellow, and 3 green. A marble is drawn and not put back,
and then another marble is drawn. What is the probability that a blue marble was drawn followed by a
yellow marble?
The probability that a blue marble was drawn followed by a yellow marble is; 0.45.
Probability without replacementAccording to the task content;
It follows that the marbles were drawn without replacement.On this note , the probability that a blue marble and yellow marble were drawn respectively is;
P(B&Y) = 4/16 + 3/15P(B&Y) = 0.45.Read more on probability;
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Number 8 helpppppp math
What is the area of the triangle figure?
The area of the triangle is equal to 12 mm².
Area of triangle
The area of a triangle is given by the formula:[tex]A=\frac{bh}{2}[/tex], where:
b= length of the base;
h=height
STEP 1 - Find the dimensions for the base and the height of the triangle.From the figure, it is possible to see that h= base of rectangle - 4 mm. Then, the height of the triangle(h)= 10-4=6 mm.
You can see that the sum of the base of the triangle with the height of the rectangle is equal to 12 mm. The figure also shows that the height of this rectangle is equal to 8 mm. Thus, the base of the triangle(h)= 12-8=4 mm.
STEP 2 - Find the area of the triangle.
From step 1:
b= length of the base= 4
h=height=6
Therefore, the area of the triangle - [tex]A=\frac{bh}{2}=\frac{4 * 6}{2}=\frac{24}{2} =12 mm^2[/tex].
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Natalie has a 45 centimeter long piece of ribbon. She wants to cut it into equal pieces to give her 5 friends. How long will each piece be in millimeters? Describe the steps you would take to solve this problem.
Answer:
9
Step-by-step explanation:
We know she has a total of 45 Cenitmeter and she has five groups she needs to split the ribion into. 45/5 =9
9+9=18+9=27+9=36+9=45
1 2 3 4 5
Given h(x) = -x -4, find h(-6).
Answer:
2
Step-by-step explanation:
h ( x ) = - x - 4
To find : h ( - 6 )
h ( - 6 ) = h ( x )
Here,
x = - 6
h ( - 6 ) = - x - 4
= - ( - 6 ) - 4
= 6 + 4
h ( - 6 ) = 2
Learning Task 2
You are given the different weights (in kg) of lanzones by kaing. Complete the Stem-and-Leaf Display to organize the following data set.
The stem-and-leaf plot for the given different wieghts (in kg) is displayed in the image attached below.
What is a Stem-and-Leaf Plot?A stem-and-leaf plot is a graphical tool used to display data points, in such a way that, if 26, 27, and 28 are data points, 2 will be the stem in a row and along with 6, 7, 8 as the leaf.
Given the data points, 16, 15, 23, 24, 13, 21, 15, 26, 22, 24, 30, 24, 10, 17, 19, 17, 28, 31, 29, 14, the stem-and-leaf plot is displayed in the image attached below (see attachment).
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How many solutions exist for the given equation? 3x 13 = 3(x 6) 1 zero one two infinitely many
An equation is formed of two equal expressions. There is no solution set of the equation 3x+13 = 3(x+6)+1.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The equation can be solved in the following manner,
[tex]3x+13 = 3(x+6)+1\\3x+13=3x+18+1\\3x+13=3x+19[/tex]
Since both the sides of the equation are the same in terms of variable and the constant terms are not the same. Therefore, there is no solution set of the equation 3x+13 = 3(x+6)+1.
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Answer: ZERO
Step-by-step explanation:
What is the area of a regular hexagon with a side length of 4 m? enter your answer in the box. round only your final answer to the nearest hundredth. m²
Answer:
41.57
Step-by-step explanation:
took the test
Given circle O with diameter AB find x
A circle is a curve sketched out by a point moving in a plane. The measure of x is 60°.
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
Given that the measure of the arc AC is 120°. Now, as we know, the diameter divides the circle into two equal chords of 180° each. Therefore, the measure of x can be written as,
[tex]x = {\rm arcAB-arc AC}\\\\x = 180^o-120^o\\\\x = 60^o[/tex]
Hence, the measure of x is 60°.
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