Answer:
the next 3 numbers in the pattern are 1/27 , 1/81. , and 1/243
Step-by-step explanation:
to go from 9 to 3 you either have to subtract 6 or divide by 3. if you subtract 6 it doesn't match with the numbers. if you divide by 3 it matches. you can multiply 1/9 by 1/3 or divide by 3. it end with the same answer
We have that The Next 3 patterns are
1/27,1/81,1/243
From the Question we are told that
Pattern. 9 ,3 ,1 ,1/3, 1/9
Generally
Using in inductive reasoning the pattern progresses as a function of dividing by 3
Therefore
The next three number are
[tex]x_1=\frac{1/9}{3}\\\\x_1=1/27[/tex]
[tex]x_2=\frac{1/27}{3}\\\\x_2=1/81[/tex]
[tex]x_3=\frac{1/81}{3}\\\\x_3=1/243[/tex]
Therefore
The Next 3 Numbers are
1/27,1/81,1/243
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7.
Which kind of function best models the data in the table? Graph the data and write an equation to model the data.
A. exponential; y = 3x – 1
B. linear; y = x – 1
C. quadratic; y = x2 – 1
D. linear; y = –x – 1
Answer:
D. linear; y = –x – 1
Step-by-step explanation:
Linear; y=-x - 1
The slope is negative since it’s decreasing. So it’s not the first equation. It’s not a quadratic equation because there is no forming U shape for this data. It’s not a exponential function because the slope is not 3 and a exponential function is in the form y=a(b)^x
...............................................................................................................................................
Answer:
The correct answer is D) linear; y = –x – 1
Step-by-step explanation:
To find this, use any values in the table and it will produce a true statement. This is how we check to see if a model is correct. See the two examples below for proof.
(4, 5)
y = -x - 1
-5 = -4 - 1
- 5 = -5 (TRUE)
(0, -1)
y = -x - 1
-1 = 0 - 1
-1 = -1 (TRUE)
HELP ASAP PLEASEREEEEE
Answer:
uh
Step-by-step explanation:
my guy, I DK.
Erica drives 25 miles south, and then drives east. After a while, it is determined that she's 60 miles (diagonally) from where she started. How far east did she drive? (HINT: draw a rough sketch!)
The distance she drove east from the starting point is 54.54 miles.
The given parameters include;
initial displacement of Erica, d₁ = 25 miles south
final position of Erica, d₂ = 60 miles east
The displacement of Erica from the initial position as shown in the diagram is calculated as;
Apply Pythagoras theorem, to solve for x;
x² = d₂² - d₁²
x² = 60² - 25²
x² = 2975
x = √2975
x = 54.54 miles
Therefore, the distance she drove east from the starting point is 54.54 miles.
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Show that the line 4y = 5x-10 is perpendicular to the line 5y + 4x = 35
Step-by-step explanation:
concept :concept :When two lines are perpendicular, then the product of their slopes is equivalent to -1.concept :When two lines are perpendicular, then the product of their slopes is equivalent to -1.Equation of line in the form y = mx + c have m as slope of line and c as y-intercept.concept :When two lines are perpendicular, then the product of their slopes is equivalent to -1.Equation of line in the form y = mx + c have m as slope of line and c as y-intercept.Solution:concept :When two lines are perpendicular, then the product of their slopes is equivalent to -1.Equation of line in the form y = mx + c have m as slope of line and c as y-intercept.Solution:Given equations of lines areconcept :When two lines are perpendicular, then the product of their slopes is equivalent to -1.Equation of line in the form y = mx + c have m as slope of line and c as y-intercept.Solution:Given equations of lines are4y = 5x-10concept :When two lines are perpendicular, then the product of their slopes is equivalent to -1.Equation of line in the form y = mx + c have m as slope of line and c as y-intercept.Solution:Given equations of lines are4y = 5x-10or, y = (5/4)x(5/2). .....(1)5y + 4x = 355y + 4x = 35ory = (-4/5)x + 7. ......(2)Let m and n be the slope of equations i and ii, respectively.Let m and n be the slope of equations i and ii, respectively.Here, m = 5/4Let m and n be the slope of equations i and ii, respectively.Here, m = 5/4n= -4/5Let m and n be the slope of equations i and ii, respectively.Here, m = 5/4n= -4/5therefore, mx n = -1Let m and n be the slope of equations i and ii, respectively.Here, m = 5/4n= -4/5therefore, mx n = -1Hence, the lines are perpendicular.HELPPP
Solve: r = -5 + 19. r =____?
-24
14
-14
24
Answer:
14
Step-by-step explanation:
19 - 5 = 14
What is the explicit rule for the geometric sequence?
400, 200, 100, 50,...
(I'll put the answers in a screenshot) Plzz help :(
Answer:
an = 400*(1/2)^(n - 1) which is C is the most common answer.
Step-by-step explanation:
What did you have to do to get 400 as the first term?
There are two answers.
an = 400 * (1/2)^(n - 1)
an = 400 * (1/2)^n
Which one is the answer?
The answer is the one that leaves 400 as the first term.
a1 = 400*(1/2)^(n-1) should be the answer.
400*(1/2)^n is unfortunately sometimes used. In which case, the first term is a^0
A1 = 400 (1/2)^(n - 1) is the usual for that describes the series.
What is the equation of the line that is perpendicular to the line y = 2x + 5 and
passes through the point (-4, 2)?
Answer:
y = -1/2x
Step-by-step explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = 2x + 5. Its slope is 2. A line perpendicular to this one will have a slope of -1/2.
Plug this value (-1/2) into your standard point-slope equation of y = mx + b.
y = -1/2x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (-4, 2). Plug in the x and y values into the x and y of the standard equation.
2 = -1/2(-4) + b
To find b, multiply the slope and the input of x (-4)
2 = 2 + b
Now, subtract 2 from both sides to isolate b.
0 = b
Plug this into your standard equation.
y = -1/2x + 0 or y = -1/2x
This equation is perpendicular to your given equation (y = 2x + 5) and contains point (-4, 2)
Hope this helps!
Solve for x: 9(3x+3)=10(3x+9)
Answer:
-21 =x
Step-by-step explanation:
9(3x+3)=10(3x+9)
Distribute
27x +27 = 30x +90
Subtract 27x from each side
27x+27 -27x = 30x-27x +90
27 = 3x+90
Subtract 90 from each side
27-90 = 3x +90-27
-63 = 3x
Divide by 3
-63/3 = 3x/3
-21 =x
Answer:
x = -21
Step-by-step explanation:
9(3x+3) = 10(3x+9)
27x + 27 = 30x + 90
-30x + 27x = 90 - 27
-3x = 63
x = -21
how do you answer this
Answer:
19 units
Step-by-step explanation:
count the squares around the shape for the slanted part treat it like a rectangle and just count the squares from the pointy spot to the other side where it stops
Martina is recording the percentages she earned on each quiz in her math class. Here are her results for the last 7 quizzes.
74, 64, 90, 74, 92, 68, 71
Find the range of the data set.
=___
Answer:
28
Step-by-step explanation:
Subtract highest number from lowest.
92-64 = 28
A fruits seller bought some lemon for Re 1 for 15 lemon. if he sold all lemons at 25% profit, how many lemons were sold for Rs 1.
Answer:
12 lemons
Step-by-step explanation:
CP of 15 lemon = ₹ 1
Profit = 25 %
SP of 15 lemons = [tex]\frac{100+profit}{100}*CP[/tex]
[tex]= \frac{125}{100}*1\\\\= \frac{5}{4}[/tex]
SP of 15 lemons = ₹ [tex]\frac{5}{4}[/tex]
Number of lemon for ₹ [tex]\frac{5}{4}[/tex] = 15
Number of lemons for ₹ 1 = 15 ÷ [tex]\frac{5}{4}[/tex]
[tex]= 15 *\frac{4}{5}\\\\= 3*4\\\\= 12[/tex]
If f(x)=16x-30 and g(x)=14x-6 for which value of x does (f-g)(x)=0
Answer:
12
Step-by-step explanation:
f(x)=16x-30
g(x)=14x-6
f(x) - g(x) = 16x-30 - (14x-6)
= 16x - 30 - 14x +6
= 2x -24
Set this equal to zero
2x-24 = 0
Add 24 to each side
2x-24 +24 = 0+24
2x = 24
Divide by 2
2x/2 =24/2
x = 12
x=12
Answer:
Solution given:
f(x)=16x-30 and g(x)=14x-6
(f-g)(x)=0
or
f(x)-g(x)=0
16x-30-14x+6=0
2x-24=0
2x=24
x=24/2
x=12
Factorize:
a)(a+b) (a-b)-a+b
b)a²-(b-3)a-3b
c) ax²-bx²-ax+bx+a-b
help Me these questions I will mark u as brainliest
Answer:
Step-by-step explanation:
find the measure of the missing angles in the kite
Answer:
Step-by-step explanation:
In a kite, the angles between the two non- congruent side have the same degree.
x = 114 degrees
In a quadrilateral the sum of the inner angles is 360 degrees
88 + (114 * 2) + y = 360
88 + 228 + y = 360
316 + y = 360
y = (360 - 316)
y = 44 degrees
Sandra has developed a program designed to increase reading comprehension scores in 6th graders. She randomly selects three students and has them participate in her program. When she compares the mean score from the students who completed her program to three students who did not participate in the program, she finds no significant difference between their mean scores. What is most likely the reason for the non-significant finding
Answer:a small sample size
Step-by-step explanation:
From the information given in the question, we are informed that Sandra developed a program that was designed to increase reading comprehension scores in 6th graders and she then randomly selects three students and has them participate in her program.
After comparing the mean score from the students who completed her program to three students who did not participate in the program, she finds no significant difference between their mean scores, it should be noted that the reason for this will be because the sample size is small.
If a large sample size was used, this could have been different as thsi could result in a significant difference between their mean scores.
Helppppp pleaseeee anyoneeeee
if 1cm on a map represents 37 1/2 km what does a length of 2/5cm on the map represent
Answer:
15
Step-by-step explanation:
[tex]37 \frac{1}{2} \times \frac{2}{5} = \frac{75}{2} \times \frac{2}{5} = 15[/tex]
A stationary shop markdown their writing boards by 40%. The markdown is $32. What is the original selling price and selling price after markdown of the writing boards?
A.$50, $25
B.$60, $24
C.$80, $48
D.$70, $28
Answer:
The original price is 80
The new price is 48
Step-by-step explanation:
Let x be the original price
x - .4x = new price
.6x = new price
.4x = markdown
.4x= 32
.4x/.4 = 32/.4
x =80
The original price is 80
.6x = new price
.6(80) = 48
I need help plz someone help me
Answer:
N'=(0, 0)
K'=(4,4)
I'=(4, 0)
What does media literacy mean?
A. The practice of reading things that are on a screen
B. The practice of being able to identify the different types of media
C. The practice of being able to access, analyze, and evaluate media
D. The practice of using multiple media at one time
Answer:
C.
Step-by-step explanation:
Media literacy encompasses the practices that allow people to access, critically evaluate, and create or manipulate media.
answer please and no links .....thank you
Answer:
8,3,-1,3,15
Step-by-step explanation:
y=x^2-1
y(-3)=8
y(-2)=3
y(0)=-1
y(2)=3
y(4)=15
Suppose TM ≈ GL and angle M ≈ G What additional information is needed to prove triangle MTD≈ GLS by SAS?
Answer:
the second option
Step-by-step explanation:
SAS is side angle side. so, we need 2 sides and the enclosed angle.
since G is the transformed M, and GL is the transformed side TM, that also means L correlates to T and S to D.
for SAS we need both sides of the angles M and G.
TD and SL are not satisfying this condition.
only MD and SG do.
Translate to an equation, then solve.
Nineteen less than six times a number is equal to 11 more than four times the number?
What is the number?
Answer:
15Step-by-step explanation:
Let the number is x, then we have:
6x - 19 = 4x + 116x - 4x = 11 + 192x = 30x = 15Compare the value of the following expression with zero. 5a^3b^2/a+b, where a<0, b<0
Answer:
The given expression will be greater than zero.
Step-by-step explanation:
If a < 0 and b < 0, then 5a^3 is < 0 (5a^3) is negative;
but b^2 is > 0.
Then (5a^3)*(b^2) < 0
and if we divide this quantity by a + b (which is negative), the end result will be > 0.
Jennifer has $400 more than Brian has. If she were to give Brian 20% of her money, then Brian would have 2 3 of the amount of money that Jennifer would then have. How much money does Brian currently have (before exchanging money)
Answer: [tex]\$202[/tex]
Step-by-step explanation:
Given
Jennifer has $400 more than Brian
Suppose Brian has x amount initially
So, Jennifer has 400+x
If Jennifer gives 20% of her to Brian, then brian would have two-third of the amount Jennifer left with
[tex]\Rightarrow \dfrac{2}{3}\times [400+x](1-0.2)=[400+x](0.2)+x\\\\\Rightarrow \dfrac{2}{3}\times 0.8\times (400+x)=80+0.2x+x\\\\\Rightarrow 213.334+0.533x=80+1.2x\\\Rightarrow 133.334=0.66x\\\Rightarrow x=\$202.02[/tex]
Thus, Brain has [tex]\$202[/tex]
Find the length of the arc with central angle of 205° and radius of 7 cm. Use 3.14 for pi(π) and round to the nearest hundredth.
12.52 cm
25.03 cm
87.61 cm
153.86 cm
The length of the arc with a central angle of 205° is 25.03 cm
Length of an arcThe formula for calculating the length of an arc is expressed as:
L = rtheta
Given the following parameters
r = 7cm
theta = 205° = 3.57792 radians
L = 7(3.57792)
L = 25.04544
Hence the length of the arc with a central angle of 205° is 25.03 cm
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A scenic train ride has one price for adults and one price for children. One family of two adults and two children pays 1054 Baht for the train ride. Another family of one adult and four children pays 1190 Baht. Find the price x for an adult and the price y for a child?
Answer:
x = price for adult = 306 Baht
y = price for children = 221 Baht
Step-by-step explanation:
Let
x = price for adult
y = price for children
2x + 2y = 1054 (1)
x + 4y = 1190 (2)
From (1)
x = 1190 - 4y
Substitute x = 1190 - 4y into (1)
2x + 2y = 1054 (1)
2(1190 - 4y) + 2y = 1054
2380 - 8y + 2y = 1054
- 8y + 2y = 1054 - 2380
- 6y = - 1326
y = -1326/-6
y = 221
Substitute y = 221 into (2)
x + 4y = 1190 (2)
x + 4(221) = 1190
x + 884 = 1190
x = 1190 - 884
= 306
x = price for adult = 306 Baht
y = price for children = 221 Baht
The area of an isosceles triangle is 52 square inches. The height is 8 in. What is the length of the base?
Answer:
base = 13 in
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here A = 52 and h = 8 , then
[tex]\frac{1}{2}[/tex] b × 8 = 52
4b = 52 ( divide both sides by 4 )
b = 13
Help please urgent 25 point
Answer:
60
Step-by-step explanation:
b = the hypotenuse of a right angle triangle
a = the adjacent side.
R is being defined by the cosine
cos(R) = adjacent / hypotenuse
adjacent = 16* sqrt(2)
hypotenuse = 32*sqrt(2)
Cos(R) = 16*sqrt(2) / 32*sqrt(2) sqrt(2) cancels.
cos(R) = 1/2
R = cos-1(1/2)
R = 60 degrees.
CAN SOME HELP PLS I NEED HELP PASSING PYTHAGOREAN THEOREM
Answer:
Step-by-step explanation:
[tex]a^2+b^2=c^2\\8^2+15^2=c^2\\64+225=c^2\\289=c^2\\c=17\\\\17+15+8 = 40 meters[/tex]
