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Work Shown:
We have a geometric sequence
a = first term = -1
r = common ratio = (second term)/(first term) = 2/(-1) = -2
nth term
a(n) = a*(r)^(n-1)
a(n) = -1*(-2)^(n-1)
Now plug in n = 7 to get the 7th term
a(n) = -1*(-2)^(n-1)
a(7) = -1*(-2)^(7-1)
a(7) = -1*(-2)^6
a(7) = -1*(64)
a(7) = -64
The first seven terms are
-1, 2, -4, 8, -16, 32, -64
To get each new term, we multiply the last term by the common ratio -2
Length of the rectangle is 4 less than 3 times its width. If the perimeter of
the rectangle is 32, find its length.
Answer:
The length is four less than three times the width.
x = 5 cm.
The width of rectangle is 5 cm.
Thus the length of rectangle 3x - 4 = 3 × 5 - 4 = 15 - 4 = 11 cm
Step-by-step explanation:
HOPE IT HELPS
A carver begins work on the following block of granite that weighs 2700 g. What is the density of the granite? View attachment below... Thank you all so much!!!
Answer:
density = mass/ volume
density= 2700/500
= 25/5 cm 3
(cubic centimeters)
Density of given granite block is [tex]2.7 g/cm^{3}[/tex].
Here,
Weight of granite block is 2700 g.
Dimension of the block is 20 cm, 5 cm, 10 cm.
We have to find the value of density of granite.
What is density?
Density is the substance mass per unit of volume.
Now,
Mass of the block is 2700 g.
Volume of the block = l x b x h
= 20 x 5 x10
=1000
Volume of the block = [tex]1000 cm^{3}[/tex]
Density = mass / volume
⇒ Density = [tex]\frac{2700}{1000}[/tex]
= [tex]2.7[/tex]
Hence, Density of given granite block is [tex]2.7 g/cm^{3}[/tex].
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Classify the following triangle. Check all that apply.
A. Right
B. Isosceles
C. Obtuse
D. Acute
E. Equilateral
F. Scalene
Answer:
is there a chart to this question?
because I can't tell the answer just by looking at it
Step-by-step explanation:
it's a b c d and f are all the correct answers
if 2 log x + 3 log y = 0, find y in terms of x.
Answer: If 2 log x + 3 log y = 0, find y in terms of x.
sorry for my messy handwriting!!!
Step-by-step explanation:
-8.2, 6, -3.5, 8.2, -5
Least to greatest
_________________________
-3/4, -1, 5/4, 2
Greastest to least
_________________________
-0.5, 1.5, 0, -5, 1.25
Greatest to least
I need help asap
Solve for k
1/3(k-9)=1/3k+1/3
Thank you :)
Answer:
solve 1/3 (k - 9) = 1/3 k + 1/3 for k = (no solutions exist)
Step-by-step explanation:
Which of the following must be negative?
I. The product of 2 negative numbers.
II. The product of 2 positive numbers.
III. The product of 3 negative numbers.
It a picture of the question
A student states that the constant of proportionality is 2.5 since 10 - 7.5 = 2.5.
I NEED HELP FOR MY TEST!
Need help on both plz will much appreciated
Answer:
4= 7 as the answer
5= 12/52
Step-by-step explanation:
What is the probability that you will get heads no more than once out of 3 flips? P(0 successes) + P(1 success)=
Answer:
The answer is .5
Step-by-step explanation:
Answer:
The correct answer is 0.5
Step-by-step explanation:
You have to do 0.125 (0 successes) plus 0.375 (1 success). This is equal to 1/2
This is correct on edge.
HELP ME PLEASE IM ALMOST TO 100
Answer:
= 3/4
Step-by-step explanation:
Find 2 points on the graph
(2,3) and (6,6)
Using the slope formula
m = (y2-y1)/(x2-x1)
= ( 6-3)/(6-2)
= 3/4
Question 5
Here are four cards.
4 5 0.
Use each card once to make the largest number that is less than 10
Here are four cards.
4 5 0 .
Use each card once to make the largest number that is less than 10
Answer:
9 by adding all the three cards
what are the congruent angles and sides???
Answer:
the helping hand got it
SAT scores: A college admissions officer takes a simple random sample of 100 entering freshmen and computes their mean mathematics SAT score to be 433 . Assume the population standard deviation is 115 .
(a) Construct a 99 % confidence interval for the mean mathematics SAT score for the entering freshman class. Round the answer to the nearest whole number.
Answer:
The 99% confidence interval is [tex] 403.33 < \mu < 462.67 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 100
The sample mean is [tex]\= x = 433[/tex]
The standard deviation is [tex]\sigma = 115[/tex]
From the question we are told the confidence level is 99% , hence the level of significance is
[tex]\alpha = (100 - 99 ) \%[/tex]
=> [tex]\alpha = 0.01[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 2.58[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 2.58 * \frac{115 }{\sqrt{100} }[/tex]
=> [tex]E = 29.67 [/tex]
Generally 99% confidence interval is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
=> [tex]433 -29.67 < \mu < 433 + 29.67[/tex]
=> [tex] 403.33 < \mu < 462.67 [/tex]
Is this relation a function? Justify your answer.
10
9
8
7
5
4
3
2
1
1 2 3
5
6 7
8 9 10
O A. No, because two points with the same y value have different x-
values
OB. No, because two points with the same x-value have different y
values
O C. Yes, because every x and y-value is positive,
D. Yes, because the number of x-values is the same as the number of
Answer:
i don't now
ok
please follow me
• Which expression is equivalent to 2(8n)
Answer:
It's B :) *the second one to the right*
Step-by-step explanation:
An expression is equivalent to given expression is 2×8n×8n×8n×8n. Therefore, option B is the correct answer.
What is an equivalent expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
The given expression is 2(8n)⁴.
Here, the equivalent expression is
2×8n×8n×8n×8n
= 2×4096n⁴
= 8192n⁴
Therefore, option B is the correct answer.
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Two angles form a linear pair. The measure of one angle is 6 less then the measure of the other angle. Find the measure of each angle
Answer: one angle would be 50 degrees while the other would be 130 degrees.
Step-by-step explanation:
A business knew that 30%, percent of its customers were less than 25 years old. The business wanted to increase this percentage, so they created a marketing campaign that targeted this age group. After the campaign, the business obtained a random sample of 50 customers to test H_o:p=0.3 versus Ha :p > 0.3, where p is the proportion of this business's customers who are less than 25 years old after the marketing campaign. After the campaign, the business obtained a random sample of 50 customers and found that 18 of those sampled were less than 25 years old. What would be the P-value for their test?
Answer:
The answer is "0.9258201 or [tex]\bold{ \frac{0.36 -0.3}{\sqrt{\frac{0.3 \times 0.7 }{50}}}}[/tex]".
Step-by-step explanation:
[tex]\to P= 30 \ \%\\\\ \to x= 18 \\\\ \to n=50\\\\\\\hat p= \frac{x}{n} = \frac{18}{50} = 0.36 \\\\\bold{Formula:}\\\\X= \frac{\hat p -p}{\sqrt{\frac{p \times (1-p)}{n}}}\\\\[/tex]
[tex]= \frac{0.36 -0.3}{\sqrt{\frac{0.3 \times (1-0.3)}{50}}}\\\\= \frac{0.36 -0.3}{\sqrt{\frac{0.3 \times 0.7 }{50}}}\\\\= \frac{0.36 -0.3}{\sqrt{\frac{0.21}{50}}}\\\\= \frac{0.06}{\sqrt{0.0042}}\\\\= \frac{0.06}{0.064807407}\\\\= 0.9258201[/tex]
Answer:
Step-by-step explanation:
Period of y=2tan (2x+90) -1
working through this one. An airplane cuts through the morning sky. For every 1,000 feet that it climbs, the outside temperature drops 20 degrees Fahrenheit What is the rate of temperature change in degrees Fahrenheit per foot? In the following activity, you'll use what you know about dividing rational numbers to find the solution. Complete the steps below to answer the question. write the change in elevation and the temperature as rational number.
Answer:
Step-by-step explanation:
The air plane is rising so the change in elevation is +1000 feet. The temp dropped and is -20 degrees ferhenhite.
What's the GCF of 32a, and 48b
Which ordered pairs are on the graph of 7x - y = 2?
(-3, -19)
(-1,-9)
(0, -2)
(1, 9)
(3,23)
Answer:
i think it is (0,-2). y=mx+b
(-1,-9) and (0, -2) lie on the graph of 7x - y = 2.
What is a graph in 2 - dimension?A graph in two dimension is the set of points which relates two variables according to a give equation in two variables.
Given,
7x - y = 2
Therefore, the points which satisfy this equation lie on the graph of the equation.
In case of (-1,-9)
7(-1) - (-9) = 2
-7 + 9 = 2
Which is true.
Similarly for (0,-2)
7(0) - (-2) = 2
0 + 2 = 2
Which is true.
Hence, (-1,-9) and (0, -2) lie on the graph of 7x - y = 2.
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Which of the following is equivalent to 7^2•7^5•2^2/7^3•2^6
When you add, you subtract the exponents. When you divide, you subtract the exponents.
When you have multiplication and division in one expression, you do it from left to right.
7^2 times 7^5 = 7^ (2+5) = 7^7
7^7 times 2^2 / 7^3 = 7 ^(7 - 3) times 2^2
7^4 times 2^2 times 2^6 = 7^4 times 2^(2+6) = 7^4 times 2^8
Put it in a calculator.
614656.
That is the answer, but you didn't include the "which of the following", so I guess you'll have to put each value in the calculator to find out!
If the 7^3 times 2^6 is in parenthesis, then the answer is 150.0625.
How can a transformed quadratic equation be used real life situation?
Answer:
Quadratic equations are actually used in everyday life, as when calculating areas, determining a product's profit or formulating the speed of an object. Quadratic equations refer to equations with at least one squared variable, with the most standard form being ax² + bx + c = 0.
Step-by-step explanation:
Which is a correct way to subtract from a number? (A). Add 100 then subtract 1 (B). Add 100 then add 2. (C). Subtract 100 then add 2 (D). Subtract 100 then add 1.
Answer:
A is the answer
Step-by-step explanation:
According to BODMAS (or DMAS), first we add and then subtract
if both operations are of add, we add it at the same time
16/25 divided by 15/8
Answer:
128/375
Step-by-step explanation:
16/25 divided by 15/8
16/25 X 8/15 = 128/375
Review the graph.
On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. Point z 1 is (4, negative 3) and point z 2 is (negative 3, 2).
Suppose z3 = z1 – z2.Which quadrant contains z3?
quadrant I
quadrant II
quadrant III
quadrant IV
The position of z3 is (d) quadrant IV
The given parameters are:
[tex]\mathbf{z_1 = (4,-3)}[/tex]
[tex]\mathbf{z_2 = (-3,2)}[/tex]
The expression for z3 is given as:
[tex]\mathbf{z_3 = z_1 -z_2}[/tex]
So, we have:
[tex]\mathbf{z_3 = (4,-3) - (-3,2)}[/tex]
This gives
[tex]\mathbf{z_3 = (4 + 3,-3 - 2)}[/tex]
[tex]\mathbf{z_3 = (7,-5)}[/tex]
When the x-coordinate is positive, and the y-coordinate is negative, the point is in the fourth quadrant.
Hence, the position of z3 is (d) quadrant IV
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A state forest service is conducting a study of the people who use state-operated camping facilities. The state has two camping areas, one located in the mountains and one located along the coast. The forest service wishes to estimate the average number of people per campsite during a popular weekend when all sites are expected to be used. There are 50 campsites in the mountains and 100 along the coast. From experience, the forest service knows that most sites in the mountains contain from 1-6 people and most sites along the coast contain from 1-10 people. Suppose the forest service can afford to conduct 20 interviews (e.g. they can select 20 campsites) (because they are asking many other questions in addition to number of people using the campsite and they want to do the interviews in person).
Using Neyman allocation, how would you suggest they allocate the 20 interviews among these 2 strata to minimize the standard error of the estimate of the overall average number of people per campsite?
Answer:
Allocation: 4 samples should be from the mountain and 16 from along the coast.
Step-by-step explanation:
Neyman allocation is technique of sample allocation used in cases of stratified sampling.
The formula to compute the best sample size of each stratum is:
[tex]n_{h}=n\times \frac{(N_{h}\times SD_{h})}{\sum\limits^{k}_{i=1}(N_{i}\times SD_{i})}[/tex]
The information provided is:
[tex]N_{m}=50\\N_{c}=100\\n=20\\[/tex]
Compute the range for the number of people at the mountain campsite as follows:
[tex]R_{m}=6-1=5[/tex]
Then the standard deviation for the number of people at the mountain campsite will be:
[tex]SD_{m}=\frac{R_{m}}{4}=\frac{5}{4}[/tex]
Compute the range for the number of people along the coast campsite as follows:
[tex]R_{c}=10-1=9[/tex]
Then the standard deviation for the number of people along the coast campsite will be:
[tex]SD_{c}=\frac{R_{c}}{4}=\frac{9}{4}[/tex]
Compute the sample size for the mountain campsite as follows:
[tex]n_{m}=n\times \frac{(N_{m}\times SD_{m})}{(N_{m}\times SD_{m})+(N_{c}\times SD_{c})}[/tex]
[tex]=20\times \frac{(50\times (5/4))}{(50\times (5/4))+(100\times (9/4))}\\\\=20\times 0.2174\\\\=4.348\\\\\approx 4[/tex]
Compute the sample size for along the coast campsite as follows:
[tex]n_{c}=n-n_{m}=20-4=16[/tex]
Thus, 4 samples should be from the mountain and 16 from along the coast.
If you were Kenny Watson, how would you feel about your brother Byron’s behavior?
AT LEAST 6 sentences
WILL RECIEVE BRAINLIST AND EXTRA POINTS
Answer:
I (kenny) would be irritated and annoyed that my brother continually treats me unwell and goes without punishment or chastisement. It is all By's fault that the brothers have to visit Grandma Sands. However, even though I would be annoyed by his attitude and actions, I would still love him as a brother because unlike the rest of the world, I know he has a soft side and isn't as horrible as he seems. I might feel unseen or ignored due to the radical and rebellious behavior my brother exhibits. Throughout the book the boys get closer and both are shown to be more than the cliche mean older brother/ bullied little brother. In the book, multiple circumstances bring out qualities in both of the boys that make them more relatable and likeable in general.