Answer:
-2
Step-by-step explanation:
-16/2= 8
8/-16=-2
not sure though
The common ratio of the geometric progression is r = 2
What is Geometric Progression?A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.
The nth term of a GP is aₙ = arⁿ⁻¹
The general form of a GP is a, ar, ar2, ar3 and so on
Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )
Given data ,
Let the geometric progression be represented as A
Now , the value of A is
A = 2, 4, 8, 16, 32, 64, ...
Now , the common ratio r = second term / first term
On simplifying , we get
r = 4 / 2
r = 2
Hence , the common term of GP is r = 2
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Karen created a sample of 20 students from a population of 100 in the following way. First, she gave each student a unique number from 1 to 100. She then obtained a list of 20 randomly generated numbers between 1 and 100. She used these numbers to identify which students to select. Here is the list of random numbers:
20 points! Please help! Which three students is part of her sample?
A. students 1, 10, and 20
B. students 12, 60, and 74
C. students 81, 89, and 90
D. students 3, 10, and 21
Answer:
B. students 12, 60, and 74
Explanation:
All three numbers are in the random sample set given.
Answer:
Sry Im late but I hope I can help every one else
Step-by-step explanation:
THE ANSWER IS B
What is the value of y?
Apply Pythagorean theorem in ∆TMU
[tex]\\ \rm\Rrightarrow UT^2=6^2-3^2=36-9=27[/tex]
[tex]\\ \rm\Rrightarrow UT=3\sqrt{3}[/tex]
Now
in ∆TNU[tex]\\ \rm\Rrightarrow y^2=(3\sqrt)^2+9^2[/tex]
[tex]\\ \rm\Rrightarrow y^2=27+81[/tex]
[tex]\\ \rm\Rrightarrow y^2=108[/tex]
[tex]\\ \rm\Rrightarrow y=6\sqrt{3}[/tex]
Answer:
6√3 units
Step-by-step explanation:
Similar right triangle theorem states that as ΔNUT ≅ ΔTUM then
NT : NU = TM : TU
First find the length of TU using Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
⇒ UM² + TU² = TM²
⇒ 3² + TU² = 6²
⇒ TU² = 27
⇒ TU = √(27)
⇒ TU = 3√3
Given:
NT = yNU = 9TM = 6TU = 3√3NT : NU = TM : TU
⇒ y : 9 = 6 : 3√3
[tex]\implies \dfrac{y}{9}=\dfrac{6}{3\sqrt{3} }[/tex]
[tex]\implies (3\sqrt{3})y=6 \times 9[/tex]
[tex]\implies y=\dfrac{54}{3\sqrt{3}}[/tex]
[tex]\implies y=6\sqrt{3}[/tex]
simplify the following. Please help asap....
48k^5/3k^7
12c^7d^4?15c^10d^3
(-xy)^4 x (-3x^-2)^3
20 Points!!!!!!!!!!!!!!!!!!!!!!!
Answer:
In order:
[tex]\frac{16}{k^2}[/tex]
[tex]180c^{17}d^7[/tex]
[tex]-\frac{27y^4}{x^2}[/tex]
Step-by-step explanation:
[tex]48k^5/3k^7\\\\\frac{48k^5}{3k^7} \\\\\frac{16}{k^{7-5}} \\\\\frac{16}{k^2}[/tex]
[tex]12c^7d^4*15c^{10}d^3\\\\12*15c^{7+10}d^{4+3}\\\\180c^{17}d^7[/tex]
[tex](-xy)^4 *(-3x^{-2})^3\\\\x^4y^4*(-3x^{-2})^3\\\\x^4y^4*-27x^{-6}\\\\-27x^{-6+4}y^4\\\\-27x^{-2}y^4\\\\-27*\frac{1}{x^2} *y^4\\\\-\frac{27y^4}{x^2}[/tex]
Hope this helps!
Which equation below is a quadratic function translated (shifted) right 3
=(+3)2
y
=
(
x
+
3
)
2
=2+3
y
=
x
2
+
3
=2−3
y
=
x
2
−
3
=(−3)2
y
=
(
x
−
3
)
2
9
Jenna bought a savings certificate that earned 2% simple interest per year. She earned a total of $100 in interest over 4 years. What was the initial value of the certificate?
Answer: Below
Step-by-step explanation:
An interesting part of this problem is that it derives off of Exponential growth formulas.
So by plugging in the values in the Exponential growth:
[tex]y = x(1+0.02)^{4}[/tex]
[tex]y = x(1.02)^{4}[/tex]
What's important is we know the increasing factor, so:
[tex](1.02)^{4} = 1.0824[/tex]
So now we know 8.24% of something is equal to 100. We can use this to find x, which is our initial value.
x * 0.0824 = 100
x = 100/0.0824
x = 1213.59
The answer is approximately 1213.59
You start at (6, 3). You move down 2 units. Where do you end?
Answer:
(6,1)
Step-by-step explanation:
Moving down is associated with y coordinate.
A sequence starts 5 10 20 40 80
What is the term to term rule of the sequence?
Answer:
5n
d=10-5
=5
a=5
n=a+ (n-1)d
=5+(n-1)5
=5+5n-5
=5n
Can anyone help me and explain how to do the problems in the picture attached :]
Answer:
14. x = 36°
15. x = 9°
16. x = 45°
Step-by-step explanation:
14. The sum of the interior angles in a triangle is 180°. This means that 2x + 2x + x = 180°. This can be simplified to 5x = 180°. If we divide both sides by 5, we find that x = 36°
15. Using the same approach, the sum of the interior angles in a triangle is 180°. This means that 7x + 3x + 90° (the right angle) = 180°. Next, we can subtract 90° form both sides to get 7x + 3x = 90°. If we simplify the left side, we get 10x = 90. Finally, we can divide both sides by 10 to find that x = 9°
16. Using the same approach, the sum of the interior angles in a triangle is 180°. This means that 2x + x + x = 180°. This simplified is 4x = 180. If we divide both sides by 4, we get x = 45°
Hope this helps!
Answer:
see explanation
Step-by-step explanation:
You can find the sum of all interior angles of any convex shape with one simple equation: 180(n-2) , where n= number of sides of shape.
With a triangle, 180(3-2) simplified to, 180(1), with the answer being 180.
All the angles of a triangle add up to 180°
Lets look at first problem.
2x + 2x + x
set it equal to 180
2x + 2x + x = 180 (Combine like terms)
5x = 180 (Divide by 5, both sides)
x = 36
Next one,
7x + 3x + 90 = 180
10x + 90 = 180
10x = 90
x = 9
Last one,
2x + x + x = 180
4x = 180
x = 45
What would you do if when you okay, so he said yes would go?
Answer:
what?
Step-by-step explanation:
Answer: umm umm I would tell him godbless him and…
Step-by-step explanation:
helppppppppppppppppppppp
Answer:
.............................
need help!! also this is 17 points so yeah :)
Answer number 7 please (if it’s to blurry zoom in)
Answer:
D
the scatter diagram shows a slightly decreasing trend
What is the reciprocal of 3?
What is the reciprocal of 2/3?
Step-by-step explanation:
To find the reciprocal of any number, we have to divide 1 by the given number.The reciprocal of 3=
[tex] \frac{1}{3} [/tex]
The reciprocal of ⅔ =
[tex] \frac{1}{ \frac{2}{3} } \\ 1 \div \frac{2}{3} \\ 1 \times \frac{3}{2} \\ \frac{3}{2} [/tex]
[tex]\mathbb{FINAL\:ANSWER:}[/tex]
[tex]\huge\boxed{\sf{reciprocal\:of\:3=\frac{1}{3} ; \:reciprocal\:of\: \frac{2}{3} =}\frac{3}{2} }[/tex]
[tex]\mathbb{SOLUTION\:WITH\:STEPS:}[/tex]
Hi! Hope you are having a nice day!
In order to find the reciprocal of a number, all we should do is flop the number over.
Sounds easy, right? Let's find the reciprocal of 3.
What is 3 flopped over? That's right, [tex]\displaystyle\frac{1}{3}[/tex].
We found the reciprocal of 3. :)
Now it's time to find the reciprocal of [tex]\displaystyle\frac{2}{3}[/tex].
Let's flop it over:
[tex]\displaystyle\frac{3}{2}[/tex]
Hope you could understand everything.
#CarryOnLearning
Determine if the following figures are similar.
Answer:
the prashastis is the most assential and the core is a chinese of a bone where the body is the most assential of a bone where it can take longer to get a good idea of the following ratio is a good idea for the needs 8n and a half his salary manish he has a good reputation in his work and is willing and able for his wealth of knowledge to help to help to improve his wealth of the following ratio is a good idea for a few years of use in a class of the following ratio is a very good idea for a few years of use in a class of the following ratio is a very good idea for a few years of use in a class
Childhood participation in sports, cultural groups, and youth groups appears to be related to improved self-esteem for adolescents (McGee, Williams, Howden-Chapman, Martin, & Kawachi, 2006). In a representative study, a sample of n = 100 adolescents with a history of group participation is given a standardized self-esteem questionnaire. For the general population of adolescents, scores on this questionnaire form a normal distribution with a mean of μ = 50 and a standard deviation of σ = 15. The sample of group-participation adolescents had an average of M = 53. 8.
Does this sample provide enough evidence to conclude that self-esteem scores for these adolescents are significantly different from those of the general population? Use a two-tailed test with α =. 5.
The null hypothesis is H₀: , even group participation.
The standard error is , so z =
(to two decimal places). Using the Distributions tool, the critical value of z =
Using the z-distribution, as we have the standard deviation for the population, it is found that the sample provides enough evidence to conclude that self-esteem scores for these adolescents are significantly different from those of the general population.
What are the hypothesis tested?At the null hypothesis, we test if the score for group-participation adolescents is the same as the general population, that is:
[tex]H_0: \mu = 50[/tex]
At the alternative hypothesis, we test if the score is different, that is:
[tex]H_1: \mu \neq 50[/tex]
What is the test statistic?The test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.[tex]\sigma[/tex] is the standard deviation of the population.n is the sample size.In this problem, we have that:
[tex]\overline{x} = 53.8, \mu = 50, \sigma = 15, n = 100[/tex].
Hence:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{53.8 - 50}{\frac{15}{\sqrt{100}}}[/tex]
[tex]z = 2.53[/tex]
What is the decision?Considering a two-tailed test, as we are testing if the mean is different of a value, with a significance level of 0.05, the critical value is [tex]|z^{\ast}| = 1.96[/tex]
Since the absolute value of the test statistic is greater than the critical value for the two-tailed test, it is found that the sample provides enough evidence to conclude that self-esteem scores for these adolescents are significantly different from those of the general population.
More can be learned about the z-distribution at https://brainly.com/question/26454209
find the value of x from the following.
x/4 = 6
x/2 = 12.5
Answer:
1)x = 24
2)x= 25
a painter takes 13 hours to paint 3 rooms. how long will it take the painter to paint 9 rooms
9 rooms / 3 rooms = 3
It will take him 3 times as long.
13 hours x 3 = 39 hours
answer: 39 hours
Answer:
39 hours
Step-by-step explanation:
13h = 3 rooms
3 x 3 = 9
13 x 3 = 3 x 3
39h = 9 rooms
Maria bought g gallons of gasoline for $4.75 per gallon and c cans of oil for $5.15 per can.
a. What expression can be used to determine the total amount Maria spent on gasoline and oil?
b. If she bought 7.8 gallons of gasoline and 9 cans of oil, how much did she spend in all?
Answer:
a) 4.75g + 5.15c
b) $83.40
Step-by-step explanation:
Gasoline = $4.75 per gallon
Oil = $5.15 per can
Let g = number of gallons
Let c = number of cans
a) Total spend = 4.75g + 5.15c
b) Given:
g = 7.8c = 9⇒ total spend = 4.75(7.8) + 5.15(9)
= 37.05 + 46.35
= $83.40
help meeeeeeeeeeee please asap!!
Use the elimination method :
-3x - y = -1
3x + y = -6
-> 3x + y + (-3x - y) = =6 + (-1) = -7
(3x-3x) + (y-y) = -7
0 = 7 (false)
So, the answer is no solutions.
I've checked everywhere and I cant figure out what this is.
it's not 9.4, I tried.
7. A pair of Nikes
are on sale for $50,
If the original price
Was $80, what is the
percent decrease?
Answer:
errr not sure if it's 36%
hope it helps
=
19. Which point on the plane
5x – 2y - 3z = 60 is closest
to the origin?
A x-intercept
B y-intercept
C z-intercept
D The origin is on the plane
The climate in which jonah lives is mild all year long except during the hotter summer months. for 3 months out of the year, jonah needs to use 4 portable fans to cool his home. if the electricity to use one fan costs 1 cent per hour and each fan is on for about 96 hours per month, what is his total electricity cost for the fans during one year? a. $6.72 b. $3.84 c. $11.52 d. $2.88
The total electricity cost for the fans during one year is $11.52. Then the correct option is C.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
The climate in which jonah lives is mild all year long except during the hotter summer months.
For 3 months out of the year, jonah needs to use 4 portable fans to cool his home.
If the electricity to use one fan costs 1 cent per hour and each fan is on for about 96 hours per month.
Then we have the equation for the electric bill for x month for a fan,
Electric bill = 96 × 1 × x
Electric bill = 96x
For four fans we have electric bill will be
Electric bill = 4 × 96x
Electric bill = 384x
For three months that is x = 3, we have
Electric bill = 384 × 3
Electric bill = 1152
The electric bill is 1152 cents which are equal to $11.52.
More about the linear system link is given below.
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C is directly proportional to the square root of y.
When C = 12.8, y = 16.
(a) Express C in terms of y.
(b) Find C when y = 400
Answer:
Explained and Given Below.Explanation:
C ∝ √y
C = k√y
If C = 12.8, y = 16
12.8 = k√16
12.8 = k(4)
k = 3.2
So the expression:
C = 3.2√y
solve for C when y = 400
C = 3.2(√400)
C = 3.2(20)
C = 64
The expression for C in terms of y where C is directly proportional to the square root of y is C=3.2√y and the value of C at y=400 is 64.
What is directly proportional relationship?Let there are two variables p and q
Then, p and q are said to be directly proportional to each other if
[tex]p = kq[/tex]
where k is some constant number called constant of proportionality.
This directly proportional relationship between p and q is written as
[tex]p \propto q[/tex] where that middle sign is the sign of proportionality.
In a directly proportional relationship, increasing one variable will increase another.
C is directly proportional to the square root of y. Thus, the relation can be represented with the proportionality sign as,
[tex]C\propto \sqrt{y}[/tex]
Let k is the proportionality constant. Thus, the equation can be rewritten as,
[tex]C=k \sqrt{y}[/tex]
Here, the value of C is 12.8 and the value of y is 16. Put these values in the above equation as,
[tex]12.8=k \times\sqrt{16}\\12.8=k \times4\\k=\dfrac{12.8}{4}\\k=3.2[/tex]
Thus, the value of constant is 3.2.
(a) Express C in terms of y.The value of constant is 3.2. Thus, the expression for C in terms of y is given as,
[tex]C=3.2\sqrt{y}[/tex]
(b) Find C when y = 400Put the value of y =400 in the above expression.
[tex]C=3.2\sqrt{400}\\C=3.2\times20\\C=64[/tex]
Thus, the expression for C in terms of y where C is directly proportional to the square root of y is C=3.2√y and the value of C at y=400 is 64.
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. What is the value of y in the solution to this system of equations?
6y + x = -59
x = -2y + 9
Answer:
-17
Step-by-step explanation:
We can use substitution for this system of equation.
Since x=-2y+9, we can replace x with -2y+9 in the top equation.
6y+(-2y+9)=-59
Simplify and solve.
6y-2y+9=-59
4y+9=-59
4y=-68
y=-17
if 2(x+10)=4x, what is x?
Answer:
x = 10
Step-by-step explanation:
First distribute the 2 into the parentheses
2x+20 = 4x
20 = 2x
x = 10
Which of the following pair of triangles demonstrates that two triangles with three congruent angles are not necessarily congruent?
Answer:
a
Step-by-step explanation:
if the two vertex angles are the same then the other two angles of both triangles have to be the identical since all three have to add to 180 then since the two base angles are the same the sides opposite them are congruent and the two triangles are similar by SAS(side angle side)
What is the actual length of the Impressionism art room
Please help me
Answer:
35 I think I hope it is correct
whats one sixth times 3 PLEASE HURRY AND AWNSER
Let x, y, and z represent three rational numbers, such that y is 5/12 times x and z is 50.25 more than x. If y=15.5, what is the value of z?
From the system of linear equations was verified that the value for z is equal to 87.45.
System of Linear EquationsSystem of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.
Rational NumbersThese numbers are represented by a ratio between two integers numbers ([tex]\frac{a}{b}[/tex]), where b[tex]\neq[/tex]0. Besides, this ratio can be simplified in decimal form.
For solving this equation, firstly, rewrite the information given:
[tex]y=\frac{5}{12} x \;(1)\\ \\ z=50.25+x \;(2)\\ \\ y=15.5 \;(3)[/tex]
As the question gives the values for y, you can find x.
[tex]y=\frac{5}{12} x\\ \\ 15.5=\frac{5}{12} x\\ \\ 5x=12*15.5 \\ \\ x=\frac{186}{5}=37.2[/tex]
Applying x=37.2 in equation (3), you can find z.
[tex]z=50.25+x \\ \\ z=50.25+37.2\\ \\ z=87.45[/tex]
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