Answer:
1, 2, 4, 8, 16...
Step-by-step explanation:
To be a geometric sequence there must be a common ratio which basically means the number you multiply a term by to get the next one, and the common ratio must be the same between all terms. The only sequence that follows this is the first one.
Answer:
Step-by-step explanation:
Each term of a geometric sequence is a multiple of the previous term. For example, if the first term is 2 and the common ratio is 3, then the next term is 6; the next term is 18. And so on.
1,2,4,8,16.... fits this pattern. The first term is 1 and each succeeding term is 2 times the previous term: 1*2 = 2; 2*2 = 4; 4*2 = 8, and so on.
PLEASE HELP ME ASAP!!!! I DON'T UNDERSTAND THIS!!!!
Answer: 62
Step-by-step explanation:
The surface area of a rectangular prism is 2(wl+hl+hw).
Simply plug in the values to get 62
Answer:
62cm ^2
Step-by-step explanation:
every cube has 6 sides,
2(3*5) + 2(2*3)+ 2(2*5)=
2(15)+2(6)+2(10)=
30+12+20=
62
DeShawn and Pranav each improved their yards by planting daylilies and shrubs. They bough
their supplies from the same store. DeShawn spent $143 on 9 daylilies and 4 shrubs. Pranav
spent $198 on 14 daylilies and 4 shrubs. Find the cost of one daylily and the cost of one shrub
Answer:
Daylilies cost $11 and shrubs cost $11
Step-by-step explanation:
Let's call the cost of daylilies as x and the cost of shrubs as y. We can write:
9x + 4y = 143 -- Equation 1
14x + 4y = 198 -- Equation 2
5x = 55 -- Subtract Equation 1 from Equation 2
x = 11 -- Divide by 5
9 * 11 + 4y = 143 -- Substitute x = 11 into Equation 1
4y = 44 -- Subtract 99
y = 11 -- Divide by 4
Which degrees is the answer
Answer:
75°
Step-by-step explanation:
Since the 2 angles are supplementary and TC is a perpendicular bisector, we know that m∠ATC is 90°
All we need to do is simply subtract 15° from 90° to find m∠ATB:
90 - 15 = 75°
Answer:
75°Solution,
Let m<ATB be X
[tex]x + 15 + 90 = 180[/tex]
(sum of angle in straight line)
[tex]x + 105 = 180[/tex]
subtract 105 on both sides
[tex]x + 105 - 105 = 180 - 105 \\ x = 180 - 105 \\ x = 75[/tex]
Hope this helps ...
Good luck on your assignment..
Evaluate x^1-x^-1+ x^º for x= 2.
Answer:
5/2
Step-by-step explanation:
Step 1: Plug in x
2¹ - 2^-1 + 2⁰
Step 2: Evaluate
2 - 1/2 + 1
3/2 + 1
5/2
Answer:
[tex]\boxed{\frac{5}{2} }[/tex]
Step-by-step explanation:
=> [tex]x - x^{-1} + x^0[/tex]
Rule of exponents [tex]x^0 = 1[/tex]
For x = 2
=> 2 - [tex](2)^{-1}[/tex] + 1
=> 5 / 2
=> [tex]\frac{5}{2}[/tex]
How many molecules are in4 moles of HCl?
Answer:
8
Step-by-step explanation:
4(HCL)
H=1 mol,CL=1 mol
4(1+1)
4(2)
4x2=8molecules
In the sequence 2001, 2002, 2003, ... , each term after the third is found by subtracting the previous term from the sum of the two terms that precede that term. For example, the fourth term is 2001+2002−2003=2000. What is the 2004th term in this sequence?
Answer:
The answer is 0.
Step-by-step explanation:
Let's call the answer a.
We want to find a(2004)
That's an even term. We look at the even terms:
2 2002
4 2000
6 1998
8 1996
10 1994
12 1992
We see that the pattern for the even terms is
"if you add n and a(n), the sum is always 2004."
That is n + a(n) = 2004, or,
a(n) = 2004-n when n is even
So when n = 2004, a(2004) = 2004-2004 = 0
Answer: 0
HELP ASAPPPPP!
What is the value of Fraction 1 over 2x3 + 3.4y when x = 2 and y = 5?
18
20
21
37
(p.s if its easy im in 5th grade dont judge)
Answer:
can you please make the question more clear!
Step-by-step explanation:
i am guessing you are asking if 1/ (2·2) (3+(3.4·5))=
1/ 4+17+3
1/24?
What is true about the given function?
Answer:
C
f(x) < 0 over the interval - infinity to + 3
Step-by-step explanation
My last answer was wrong
McConnell owns a small computer firm thag he inherited from his father. He has no other source of income, but he might start another small firm a couple of months later. What form do you think he should fill for filling his returns? A. W-2 form B. IRS return form C. W-4 form D. 1040-EZ form
Answer:
D) 1040- EZ Form
Step-by-step explanation:
Hope this helps!
n + 42/–3 = –2 n = ______
━━━━━━━☆☆━━━━━━━
▹ Answer
n = 12
▹ Step-by-Step Explanation
n + 42 ÷ -3 = -2
n - 14 = -2
n = -2 + 14
n = 12
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer:
[tex]n=12[/tex]
Step-by-step explanation:
[tex]n+\frac{42}{-3}=-2[/tex]
[tex]n + -14 = -2[/tex]
[tex]\mathrm{Add\:}14\mathrm{\:to\:both\:sides.}[/tex]
[tex]n + -14+14 = -2+14[/tex]
[tex]\mathrm{Simplify}.[/tex]
[tex]n=12[/tex]
Sam, John, Matt, and Bob are going to drive to Florida. It is a 8 1/4 hour drive. Sam drove 1 1/3 hours. John drove 1 5/6 hours. Matt drove twice as long as John. How many hours did Bob drive if he drove the remaining time?
Answer:
Step-by-step explanation:?
Step-by-step explanation:
total hours = 8 1/4= 33/4
Sam = 1 1/3 = 4/3
john=1 5/6 =11/6
matt= twice as long as john= 2(1 5/6)= 11/3
Bob= x
4/3+11/6+11/3 + x =33/4
11+22+8/6 + x =33/4
41/6 + x =33/4
x = 33/4 - 41/6
x= 99-82/12
x=17/12
x =1 5/12
therefore Bob drove 1 5/12.
A rectangle with an area of 192 square meters has a length and width in a ratio of 3:1. What are the length and width?
Hey there! :)
Answer:
Length = 24 meters.
Width = 8 meters.
Step-by-step explanation:
Recall that to find the area of a rectangle, the formula is as shown:
A = l × w
In this case, the length is 3 times the length of the width, or 3 : 1.
Let w = width, and
3w = length.
Find the value of w by plugging in these values into the equation:
192 = 3w · w
192 = 3w²
Divide both sides by 3:
64 = w²
Square root both sides:
w = 8 meters. This is the width.
The length is equivalent to 3w, so:
3(8) = 24 meters.
An experiment is to be conducted using environmentally safe peppermint oil to study the effectiveness of deterring mice from infesting dwellings. In one
dwelling, the peppermint oil will be dispersed via essential oil diffuser; in the other dwelling it will be placed on areas where mice could enter the dwelling. The
researchers will determine the adverse reactions of the mice to the peppermint oil by counting the number of mice in each dwelling after one week. There are
20 mice available for the experiment, and the researchers will use 10 mice for each dwelling. For this experiment, identify the treatments, experimental unit, and response variable.
Treatments: how the peppermint oil is dispersed
Experimental unit: number of mice in the dwellings
Response variable: mice
Treatments: number of mice in the dwellings
Experimental unit: mice
Response variable: how the peppermint oil is dispersed
Treatments: mice
Experimental unit: how the peppermint oil is dispersed
Response variable: number of mice in the dwellings
Treatments: mice
Experimental unit: number of mice in the dwellings
Response variable: how the peppermint oil is dispersed
Treatments: how the peppermint oil is dispersed
Experimental unit: mice
Response variable: number of mice in the dwellings
Answer:
Option E is correct.
- Treatments: how the peppermint oil is dispersed
- Experimental unit: mice
- Response variable: number of mice in the dwellings
Step-by-step explanation:
The treatments in this type of statistical experiment refers to the part of the experiment that is tweaked, controlled or varied in the cases being studied. In this experiment, the method of essential oil dispersal is what is varied in the two experimental cases of this study.
Experimental Unit refers to the subject matters, who are participants in the experiment. They are the ones that the effect of the treatments is tested upon.
For this study, the experimental units are the mice subjected to either of the two methods of peppermint oil dispersal.
The response variable is how the experimental units (participants) respond to the treatments (experimental tweaks). Or how the tweaks manifest observable results in the participants of the study. For this study, the effect of the tweaks in the mice is shown in the number of mice that remain in each dwelling (where the two methods of peppermint oil dispersal have been implemented). Hence, the response variable is the number of mice in each dwelling.
Hope this Helps!!!
Three consecutive odd integers have a sum of 45. Find the integers.
Answer:
13, 15, 17
Step-by-step explanation:
Each digit must be odd, and to get consecutive odd integers, you must add using the multiple of 2:
Let the least number be "x". Set the equation:
(x) + (x + 2) + (x + 4) = 45
Isolate the variable, x. First, combine like terms:
(x + x + x) + (2 + 4) = 45
(3x) + 6 = 45
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 6 from both sides:
3x + 6 (-6) = 45 (-6)
3x = 45 - 6
3x = 39
Divide 3 from both sides:
(3x)/3 = (39)/3
x = 39/3
x = 13
Your first number (x) is 13. Solve for the other 2 numbers:
(x) = 13
(x + 2) = 13 + 2 = 15
(x + 4) = 13 + 4 = 17
13, 15, 17 are your numbers:
Check:
13 + 15 + 17 = (13 + 15) + 17 = 28 + 17 = 45
~
if (ax+b)(ax+c)=4x^2-25 for all values of x, and a, b, and c are constants, what is the value of b+c?
Answer: 10.
Step-by-step explanation:
You are given the equation
(ax+b)(ax+c)=4x^2-25
Expand the Left hand side by opening the bracket.
a^2x^2 + axc + abx + bc
a^2x^2 + (axc + abx) + bc = 4x^2 + 0x - 25
From the equation above, we can see that;
a^2x^2 = 4x^2
a^2 = 4
a = √4
a = 2
Also, axc + abx = 0x
axc = abx
ax will cancel out from both sides
c = b
From the equation, bc = 25
But c = b. Substitute c for b
b^2 = 25
b = √25
b = 5 = c
b + c is therefore 5 + 5 = 10
given f(x) = 3/2x - 5 and g(x) = x^2 + 2x solve for g(-2)
When x=-2, g=0
Step-by-step explanation:
(-2)^2=4, then add 2(-2)=-4 to this, getting 0
PLaseeee heeeeelpoppppppppppppppppppppppppppppppp
Answer:
2) b-1
3) 2c
4) d+1
5) e-3
6) f/2
7) 4×g
8) 3×h
9) 3÷i
10) j+4
11) 2k+1
12) 2l-2
13) m/2+3
PLSSS HELPPPP Find |6 - 2i| by the way this is solving complex numbers
Answer: 2√ 10
Step-by-step explanation:
The product of two consecutive integers is 420 which quadratic equation can be used to find x the lesser number
Answer:
Step-by-step explanation:
If the smallest number is 'x', then the other number = x +1
x*(x+1)= 420
Use distributive property
x*x + x*1 = 420
x² + x - 420 =0 ------> this is the required quadratic equation.
How should you solve the equation x divided by 15 equals 60? What is the resulting equivalent equation? Choose the correct answer below. A. Divide each side by 15. Then simplify. B. Divide each side by 60. Then simplify. C. Multiply each side by 15. Then simplify. D. Multiply each side by x. Then simplify. E. Divide each side by x. Then simplify. F. Multiply each side by 60. Then simplify. The resulting equivalent equation is x=
Answer:
C; x = 900
Step-by-step explanation:
1. Write out the problem: x/15 = 60
2. Multiply each side by 15 to solve for x. This is because of inverse operations, so if you divide x by 15 you have to multiply 15 to both sides. THis way the 15 cancels out in 15(x/15).
3. Equation then becomes this: x = 15*60
4. Answer: 900
5. Substitute to see if you were right. Ask yourself: Does 900 divided by 15 equal 60. If it does, then you are correct.
Express the radical using the imaginary unit, i
Express your answer in simplified form.
tv-49 =
Answer:
7i.
Step-by-step explanation:
Note : The given expression must be [tex]\sqrt{-49}[/tex].
We have to write this radical value in the imaginary value.
The given value can be rewritten as
[tex]\sqrt{-49}=\sqrt{49\times (-1)}[/tex]
[tex]\sqrt{-49}=\sqrt{49}\times \sqrt{-1}[/tex] [tex][\because \sqrt{ab}=\sqrt{a}\sqrt{b}][/tex]
[tex]\sqrt{-49}=7\times i[/tex] [tex][\because \sqrt{-1}=i][/tex]
[tex]\sqrt{-49}=7i[/tex]
Therefore, the required expression is 7i.
What is the intersection of the lines x = -15
and y=5 ?
Answer:
the point on the plane (-15, 5)
Step-by-step explanation:
These lines are:
1) a vertical line (x=-15) which implies that all x values of the points that it contains have coordinate x= -15
2) a horizontal line (y=5) which implies that all y values of the points that it contains have coordinate y = 5
Then the intersection must occur at x = -15 and y = 5, that is at the point (-15, 5)
The base of a shipping drum is in the shape of a circle with a diameter of 26 inches. Which of the following is closest to the circumference of the base of the shipping drum? (Use 3.14 for π .)
Answer:
Circumference = 81.64 inches
Please choose the closest out of the provided choices or post them if necessary.
Step-by-step explanation:
Circumference = diameter * pi
= 26 * 3.14
= 81.64
Find the volume of a pyramid with a square base, where the side length of the base is
4.8 cm and the height of the pyramid is 4.6 cm. Round your answer to the nearest
tenth of a cubic centimeter.
in the diagram below, p is circumscribed about quadrilateral abcd. what is the value of x
angle c= 88 degrees
angle a= x+10 degrees
Answer:
40
Step-by-step explanation:
please help look at the picture....
On February 2nd, Jordan is going on a class trip to Washington D.C. He is saving his weekly allowance to use as
spending money while on the trip. Each week, Jordan's parents give him the $8 he earned for the week, and he records
the total amount of money he has saved in the table below.
Week
January 4 January 11 January 18 January 25 February 1
Total $ Saved
$86
$94
$102
With only two weeks left before the trip, Jordan wants to predict how much money he will have to bring on the trip. What
is the total amount of money that Jordan will have saved on February 1st?
$106
$110
$116
$118
Answer:
$118
Step-by-step explanation:
The amount Jordan will have on 1st of the February is $118
What is slope?The slope or gradient of a line is a number that describes both the direction and the steepness of the line.
Given that, On February 2nd, Jordan is going on a class trip to Washington, D.C. He is saving his weekly allowance to use as spending money while on the trip. Each week, Jordan's parents give him the $8 he earned for the week,
The saving are
In 1st week = $86
In 2nd week = $94
Therefore, we can consider the coordinates as (1, 86) or (2, 94)
We know that, standard equation of a line = y = mx+c
Where, m is the slope,
We have here slope = 8
Finding for c, put x = 1 and y = 86
c = 78
Now finding the amount for 5 weeks, that means x = 5
y = 5x8+78
y = 118
Hence, The amount Jordan will have on 1st of the February is $118
For more references on slope, click;
https://brainly.com/question/3605446
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[PLEASE ANSWER BOTH QUESTIONS] The following data points represent the number of quesadillas each person at Toby's Tacos ate. Sort the data from least to greatest. Find the interquartile range (IQR) of the data set.
Answer:
Part 1: Already solved.
Part 2: 1 quesadilla.
Step-by-step explanation:
Part 1: The data points given are 0, 0, 1/4, 1/2, 1/2, 1, 1, 1, 5/4, 2, and 2.
The data are already sorted from least to greatest.
Part 2: To get the interquartile range, we must know the first and third quartiles. To find those, we need to know the median of the data.
There are 11 data points, so we can cross out 5 numbers on the left and cross out 5 numbers on the right. That leaves a median of 1.
Since we know the median is 1, we can find the first quartile by finding the median of the following numbers: 0, 0, 1/4, 1/2, 1/2 (any number less than 1). There are five numbers, so cross out two numbers from the left and cross out two numbers from the right. We are left with a first quartile of 1/4.
Now that we have the first quartile, we need to find the third quartile. Since the median was actually the first "1" in the data set, the third quartile will be the median of the numbers to the right of that "1": 1, 1, 5/4, 2, 2. Cross out the leftmost two numbers, and cross out the rightmost two numbers. We are left with a third quartile of 5/4.
Now that we have both the third and first quartiles, we can find the interquartile range! The IQR is calculated by finding the third quartile minus the first quartile. 5/4 - 1/4 = 4/4 = 1.
So, your interquartile range is 1 quesadilla.
Hope this helps!
Answer:
1
Step-by-step explanation:
On khan
Which theorem can you use to prove that AEB is congruent to CED?
A. SSS
B. ASA
C. AAS
D. SAS
Answer:
C. AAS
Step-by-step explanation:
Since we are given two angles and one side, that limits our options to B or C. It can't be B, because ASA is only when the side given is in between the two angles, so it must be C.
Answer:
C
Step-by-step explanation:
Identify the range of the function shown in the graph.
Answer:
C.
Step-by-step explanation:
Range is the y-values. Since our max and min for y-values is 5 and -5, respectively, our answer is C.