Answer:
-1/7
Step-by-step explanation:
hope it helps:
Molly is studying two number patterns. Pattern A starts at 0 and has the rule "add 3." Pattern B starts at 0 and has the rule "add 6." What is the relationship between corresponding terms in the two patterns?
The relationship between corresponding terms in the two patterns is B(n) = 2A(n) where the A(n) and B(n) is the nth terms of the pattern A and pattern B.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have Pattern A starts at 0 and has the rule "add 3"
Pattern A:
0, 3, 6, 9, 12.....and so on
Pattern B starts at 0 and has the rule "add 6."
Pattern B:
0, 6, 12, 18, 24, 30.... and so one
In the pattern A we can find the nth term:
First term = 0, common difference = 3
A(n) = 0 + (n-1)3 = 3(n-1)
Similarly in the pattern B we can find the nth term
First term = 0, common difference = 6
B(n) = 0 + (n-1)6 = 6(n-1)
The relation can be derived between the nth term of pattern A and pattern B as follows:
B(n) = 2A(n)
Thus, the relationship between corresponding terms in the two patterns is B(n) = 2A(n) where the A(n) and B(n) is the nth terms of the pattern A and pattern B.
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Rewrite the expression using only positive exponents. Show your work.
[tex]5^{-12} \cdot 32^{-3} \cdot 9^{-15}\\\\\\=\dfrac 1{5^{12}} \cdot \dfrac 1{32^3} \cdot \dfrac 1{9^{15}}\\\\\\=\dfrac 1{5^{12}} \cdot \dfrac 1{(2^5)^3}\cdot \dfrac 1{9^{15}}\\\\\\=\dfrac 1{5^{12} \cdot 2^{15} \cdot 9^{15} }\\\\\\=\dfrac 1{5^{12}\cdot 18^{15}}[/tex]
Answer:
[tex]\boxed{ \dfrac{1}{5^{12}} \times \dfrac{1}{32^{3}} \times \dfrac{1}{9^{15}}}[/tex]
Step-by-step explanation:
In this case, all the exponents are negative. To make them positive, take the term's reciprocal and change the exponents sign.
[tex]\implies 5^{-12} \times 32^{-3} \times 9^{-15}[/tex]
Changing the terms into it's reciprocal form:
[tex]\implies \dfrac{1}{5^{-12}} \times \dfrac{1}{32^{-3}} \times \dfrac{1}{9^{-15}}[/tex]
Changing the signs of the exponent:
[tex]\implies\boxed{ \dfrac{1}{5^{12}} \times \dfrac{1}{32^{3}} \times \dfrac{1}{9^{15}}}[/tex]
Find the area of this triangle, round to the nearest 10th
Answer:
109.3 yard²
Step-by-step explanation:
Area of triangle = bh / 2
base is 23yd
height is 9.5yd
bh / 2 = 23 × 9.5 / 2
Area = 218.5 / 2
Area = 109.25 yd²; rounded to the nearest tenth is 109.3yd²
What is the y-intercept of the equation y = 1.5x – 4.5?
Answer:
The y-intercept is (0,-3
Step-by-step explanation:
Y=mx+bY= 1.5x-4.5So (0,-3) is the y-intercept.Step-by-step explanation:
to find the y intercept you simply equate x to 0. therefore, the y intercept is -4.5
and its coordinate is:
(0, -4.5)
MR. Benet feeds his dog 1/2 of a cup of dog food each day. How long will 9 cups of dog food last?
Answer:
18 days
Step-by-step explanation:
since 1/2 is half, u will multiple 9 by 2 to get 18 days !
The Jones family plans a trip to the amusement park and purchase a family package for $128.00. They also want to but lunch and souvenir cups. The chicken platter costs $8.50 each and the burger platter costs $9.50 each. The souvenir cups each costs $100.00, which includes unlimited refills. Mr. and Mrs. Jones have a budget and are trying to decide who will order which platter and who will buy a souvenir cup. Let x represent the number of chicken platters, y represents the number of burger platters, and z represent the number of souvenir cups.
Answer:
128+8.50x+9.50y+10z
Solve for x: x/3= 7
x= 21
x= 12
x= 7/3
x= 11
NEXT QUESTION
Answer:
x= 21
Step-by-step explanation:
[tex] \frac{x}{3} = 7 \\ \\ multiply \: both \: sides \: by \: 3 \\ \\ 3 \times \frac{x}{3} = 3 \times 7 \\ \\ \implies \cancel 3 \times \frac{x}{\cancel 3} = 21 \\ \\ \implies \: x = 21[/tex]
When the clock breed 6 o’clock what type of angle is shown
Answer:
a straight angle
Step-by-step explanation:
the minute and hour hand are straight lined up the hour being on the six and the minute being on the twelve
Can some help?! Please and thank you
Answer:
measure of angle EFG = 139°
measure of angle IFH = 49°
Since angles DEF and EFG are supplementary:
[tex]2x + 3 + 6x + 25 = 180[/tex]
[tex]8x + 28 = 180[/tex]
[tex]8x = 152[/tex]
[tex]x = 19[/tex]
So the measure of angle EFG is
6(19) + 25 = 114 + 25 = 139 degrees, and the measure of angle DFE is 41 degrees.
Angles DFE and GFH are vertical, so angle GFH measures 41 degrees.
Angles GFH and IFH are complementary, so angle IFH measures 49 degrees.
A pond has a minnow population of 20000 that is increasing at a rate of 5%
per year. The minnows' algae food supply is decreasing so that it supports
750 less minnows each year. How is the population of minnows growing,
and how is the supply of algae declining?
8. Which function is shown on the graph below?
Answer:
the answer is c
Step-by-step explanation:
-then+
If a quadratic has a maximum at (4, 2) with roots at (2,
0) and (6, 0), what is a possible equation?
Answer:
g(x) = - 1/2 * (x^2 - 8x + 12)
Step-by-step explanation:
Given the information, you have provided.
Zeros: (2,0) and (6,0).
Maximum: (4,2) which is also your (h,k)
f(x) = - (x - 2)*(x - 6)
g(x) = - 1/2 * (x^2 - 8x + 12)
I do not know how to explain this, but -1/2 makes the graph get (4,2) as the maximum.
The red graph is f(x) = - (x - 2)*(x - 6)
The blue graph is your answer g(x) = - 1/2 * (x^2 - 8x + 12)
According to this box plot of test scores, the middle 50% of the class scored between what two scores?
options:
96-100
73-96
60-73
85-90
73-96
For box plots, the two edges of the box represent the 25% and 75% mark, meaning everything in between those two lines is the middle 50%. In this case the lines are at 73 and 96.
due today i need help pls
Answer:
rotation and enlargements
Step-by-step explanation:
triangle XYZ is rotated to make triangle GHI and triangle GHI is enlarged by a scale factor of around 2.6? to make triangle MNO then triangle MNO is rotated to make triangle EDF
Answer: The three systems that would be reasonable
ΔXYZ to ΔGHI is a Rotation
ΔGHI to ΔMNO is an Enlargement
ΔMNO to ΔDEF is a Reflection
Step-by-step explanation:
Solve this thing pls
[tex]3\left(q-7\right)=27[/tex]
Answer:
Solution of equation ( q ) = 16Step-by-step explanation:
In this question we have given an equation that is 3 ( q - 7 ) = 27 and we have asked to solve this equation that means to find the value of q .
Solution : -
[tex] \quad \: \longmapsto \: 3(q - 7) = 27[/tex]
Step 1 : Solving parenthesis :
[tex]\quad \: \longmapsto \:3q - 21 = 27[/tex]
Step 2 : Adding 21 on both sides :
[tex]\quad \: \longmapsto \:3q - \cancel{ 21} + \cancel{21} = 27 + 21[/tex]
On further calculations we get :
[tex]\quad \: \longmapsto \:3q = 48[/tex]
Step 3 : Dividing by 3 from both sides :
[tex]\quad \: \longmapsto \: \frac{ \cancel{3}q}{ \cancel{3}} = \cancel {\frac{48}{3} }[/tex]
On further calculations we get :
[tex]\quad \: \longmapsto \: \pink{\boxed{\frak{q = 16}}}[/tex]
Therefore, solution of equation ( q ) is 16 .Verifying : -
Now we are very our answer by substituting value of q in the given equation . So ,
3 ( q - 7 ) = 273 ( 16 - 7 ) = 273 ( 9 ) = 2727 = 27L.H.S = R.H.SHence, Verified.Therefore, our solution is correct .
#Keep LearningAnswer:
The value of q is 16[tex] \: [/tex]
Step-by-step explanation:
So here, a equation is given and we are asked to solve the equation.
[tex] \\ \dashrightarrow \sf \qquad3(q-7)=27 \\ \\ [/tex]
For this, we have to use the Distributive property, which is :
a(b + c) = ab + ac[tex]\\ \dashrightarrow \sf \qquad3q-21=27 \\ \\ [/tex]
Transposing the constant term (-21) to the right side we get :
[tex]\\ \dashrightarrow \sf \qquad3q=27 + 21 \\ \\ [/tex]
Adding the like terms :
[tex] \\ \dashrightarrow \sf \qquad3q=48 \\ \\ [/tex]
Now, We'll divide both sides by 3 :
[tex] \\ \dashrightarrow \sf \qquad \frac{3q}{3} = \frac{48}{3} \\ \\ [/tex]
[tex]\dashrightarrow \bf \qquad \: q=16 \\ \\ [/tex]
please help
A coin is flipped three times, and the following list shows the possible outcomes.
HHH, HHT, HTH, HTT, THH, THT, TTH, TTT
What is the probability of getting exactly one head?
Enter your answer as a reduced fraction, like this: 3/14
Answer:
1/2
Step-by-step explanation:
A coin has 2 sides, and it is flipped 3 times. 3 x 2 = 6. Each flip only has a head, so 3 flips would have 3 heads.
3/6 = 1/2
Dr. Orchid has 9 paintings she wants to hang side by side on her walls.
a) in how many ways can she arrange all 9 paintings?
b) if she wants to display 4 of the paintings, in how many ways can she choose the paintings she wishes to display?
The number of ways Dr. Orchid can arrange all 9 paintings is 362880 and the number of ways she can choose the paintings she wishes to display is 126.
What is combination?Combination is the way of arrangement or the collection of items in the particular order. The order of this group of items does not matter in the combination type of arrangement.
Dr. Orchid has 9 paintings she wants to hang side by side on her walls.
a)Number of ways she can arrange all 9 paintings-Total number of paintings is 9. She wants to arrange them side by side. Thus, the number of ways, she can arrange all 9 paintings is,
[tex]9!=9\times8\times7\times6\times5\times4\times3\times2\times1\\9!=362880[/tex]
b) Number of ways she can choose the paintings she wishes to display.She wants to display 4 of the paintings. The number of arrangement of 4 painting from 9 paintings is,
[tex]^9C_4=\dfrac{9!}{(9-4)!4!}\\^9C_4=\dfrac{9\times8\times7\times6\times5!}{5!\times4\times3\times2\times1}\\^9C_4=126[/tex]
Thus, the number of ways Dr. Orchid can arrange all 9 paintings is 362880 and the number of ways she can choose the paintings she wishes to display is 126.
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find the median number of pumpkins
52,24,41,61,89,36,56
Evaluate the measure x in the figure.
Answer:
125 degrees
Step-by-step explanation:
Assuming l and m parallel, 125= x
need help fast. please.
Answer:
octagon; not regular
Step-by-step explanation:
This shape is an octagon because it has 8 sides (hence "oct") and it is irregular because not all the sides are of equal length and it does not look like a regular octagon..
Hope this helps!
Answer:
octagon; non regular
Step-by-step explanation:
because it have unequal sides and unequal angles.
PLS ANSWER I'M GIVING 40 POINTS!!!!!!
Answer:
[tex]19 sq.\ units[/tex]
Step-by-step explanation:
The best way to approach this is to figure out the area of the overall square, then remove any gaps.
The overall square is 5 by 5 so the area is:
[tex]A_t = s * s = 5 * 5 = 25\ sq.\ units[/tex]
There are 5 gaps in the shape of triangles, we will use the formula: [tex]A = \frac{bh}{2}[/tex], and subtract from the total.
1. (Top left)
[tex]A_1 = \frac{bh}{2} = \frac{2 * 1}{2} = 1[/tex]
2. (Top right)
[tex]A_2 = \frac{bh}{2} = \frac{2 * 1}{2} = 1[/tex]
3. (Bottom left)
[tex]A_3 = \frac{bh}{2} = \frac{2 * 1}{2} = 1[/tex]
4. (Bottom center)
[tex]A_4 = \frac{bh}{2} = \frac{2 * 1}{2} = 1[/tex]
5. (Bottom right)
[tex]A_3 = \frac{bh}{2} = \frac{2 * 2}{2} = 2[/tex]
The total triangle area is:
[tex]A = 1 + 1 + 1 + 1 + 2 = 6[/tex]
Subtract from total area to actual area:
[tex]A_s = A_t - A = 25 - 6 = 19 sq.\ units[/tex]
Find the 12th term of the geometric sequence 5, 15, 45, ...5,15,45,...
Answer:
885735
Step-by-step explanation:
5
x 3
15
x 3
45
x 3
135
x 3
405
x 3
1215
x 3
3645
x 3
10935
x 3
32805
x 3
98415
x 3
295245
x 3
885735
Answer:
885735
Step-by-step explanation:
Find the mean of the following numbers:
12
1
10
9
3
4
9
7
9
Answer:
7.11
Step-by-step explanation:
You will add all of those numbers and divide them by the amount of numbers you added. And I rounded the answer to 2 decimal places, seeing that it is a recurring decimal.
Solve 5÷9v≤45. Graph the solution.
Hey there!
5÷9v ≤ 45
5/9v ≤ 45
MUTLPLY 9/5 to BOTH SIDES
5/9v * 9/5 ≤ 45 * 9/5
CANCEL out: 5/9 * 9/5 because it give you 1
KEEP: 45 * 9/5 because it help solve for what is being compared to the v-value
NEW EQUATION: v ≤ 45 * 9/5
SIMPLIFY IT!
v ≤ 81
It is a CLOSED circle shaded to the LEFT
Therefore, your answer is: v ≤ 81
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Please please help!!!!!!!!!
Find the length of the segment indicated.
A. 26.3
B. 11.8
C. 21.1
Answer: C
Step-by-step explanation:
Melanie is making a piece of jewelry that is in the shape of a right triangle. The two shorter sides of the piece of jewelry are 6 mm and 8 mm. Find the perimeter of the piece of jewelry. 18 mm 24 mm 22 mm 20 mm
The cumulative frequency diagram shows information about the ages of employees in two companies.
Work out the IQR for both companies and compare them.
Explain your answer in the comment box.
Answer:
Company A = 35 Company B = 45
Step-by-step explanation:
70x3/4 = 52.5
70x1/4 = 17.5
52.5 - 17.5 = 35
90x1/4 = 22.5
90x3/4 = 67.5
67.5 - 22.5 = 45
Hence, Company A = [tex]35[/tex] and Company B = [tex]45[/tex].
What is the equation?
The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here given that,
The cumulative frequency diagram shows information about the ages of employees in two companies. Work out the IQR for both companies and compare them.
So, For the Company A
[tex]70[/tex]×[tex](\frac{3}{4})\\[/tex]
[tex]=70[/tex]×[tex](0.75)\\[/tex]
[tex]=52.5[/tex]
[tex]70[/tex]×[tex]\frac{1}{4}\\[/tex]
[tex]= 70[/tex]×[tex](0.25)\\[/tex]
[tex]=17.5[/tex]
So,
[tex]52.5- 17.5 = 35[/tex]
So, Company A is [tex]35[/tex].
For Company B,
[tex]90[/tex]×[tex]0.25 = 22.5[/tex]
[tex]90[/tex]×[tex]\frac{3}{4} = 67.5[/tex]
Then,
[tex]67.5 - 22.5 = 45[/tex]
So Company B is [tex]45[/tex].
Hence, Company A = [tex]35[/tex] and Company B = [tex]45[/tex].
To know more about the equation
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Which of these statements is true for f(x) = 3*2^x
A. The y-intercept is (0,1).
B. The domain is x > 0.
C. It is always decreasing.
D. The y-intercept is (0,3).
work it out you cheater lol
Which expression is equal to...
I WILL MARK BRAINLIEST
(The question is number 2)
Answer: A
Step-by-step explanation: