Q3.
3, x, x+6.... Are three consecutive terms in a geometric sequence I) find possible values for x if x is positive.
Answer:
x = 6
Step-by-step explanation:
The ratio of consecutive terms is the same, so we have ...
x/3 = (x +6)/x
x^2 = 3(x +6) . . . . . . multiply by 3x
x^2 -3x -18 = 0 . . . . subtract 3(x+6), simplify
(x -6)(x +3) = 0 . . . . factor
x = 6 . . . . . . . . . the only possible positive value
___
Additional comment
The zero product rule tells you that a product will be zero if and only if a factor is zero. That is, the solutions to this equation are values of x that make the factors zero: x = 6, x = -3.
Which of the following is a solution to 2sin’s + sin – 1 = 0?
Kara spent $108.00 at the electronics store. She bought a movie for $18.00. She also bought 3 video games. The video games each cost the same amount. How much did Kara pay for each video game?
please help me with this
Answer:
3(-5(-2.9))
=43.5
[tex]3 \times \frac{1}{4} \div ( - \frac{2}{7} )[/tex]
[tex] = - 11.375[/tex]
hope it helps you
make me brainliest if u r ok with it
Use the following data to calculate the curve of the best-fit.
y=0.4x2 + 1.2x + 3
y=0.4.x2 + 3.4x + 4
y=0.2x2 + 1.2x + 3
y=0.4x2 + 1.2.C + 4
3. A store sells boxes of juice bottles, all the same size. Garth bought 18 bottles, Rico bought 36 bottles, and Mai bought 45 bottles. What is the largest possible number of bottles contained in each box? If each box contains as many bottles as possible, how many boxes did each person buy
Help me plz AND PLZ NO LINKS I need help ASAP I WILL TRY TO GIVE YOU BRAINLIST IF U HELP ME
Step-by-step explanation:
we are looking for the greatest common factor of the 3 numbers.
e.g. by prime factorization :
18 = 2×3×3
36 = 2×2×3×3
45 = 3×3×5
the largest chain of prime factor multiplication that is contained in all 3 numbers is 3×3.
the GCF is therefore 3×3 = 9.
and that (9) is the largest possible number of bottles in one box.
oh, and Garth (18 bottles) bought therefore 2 boxes.
Rico (36 bottles) bought 4 boxes.
Mai (45 bottles) bought 5 boxes.
PLEASE HELP ASAP!!! (No links)
Is (8,3) a solution of y> 3x - 4?
A. Yes, (8,3) is a solution of
y > 3x - 4.
B. No, (8,3) is not a solution of
y > 3x - 4.
Answer:
No it is not a solution
Step-by-step explanation:
To solve this, you should replace your (x,y) with (8,3)- 8 being your x value and 3 being your y value.
So this inequality, your y value is supposed to be bigger than the value of whatever 3x-4 equals.
So, your inequality should be 3>3(8)-4
3*8=24-4=20
So is 3>(greater than)20? No. Which then means that (8,3) is not a solution because it would make the inequality not true.
Hope this helps!
7, 2, x, 15, 20, 8, 14, 29; median: 13 x = ?
Answer:
12
Step-by-step explanation:
As there are 7 values in the given set, and one is missing, then the full set comprises 8 values.
2,7,8,14,15,20,29.
The middle value is 14 so we need another value, v such that, ½(14 + v) = 13.
This solves as v = 12.
The full set now is,2,7,8,12,14,15,20,29.
please help with this
Answer:
(4,-5)
Step-by-step explanation:
You can plot both lines on the graph, since they are both in slope-intercept form. Using the graph provided next to you, the lines intersect and meet at the point (4,-5).
Basketballs used in professional games must have a circumference of 29 inches.
What is the surface area of a basketball used in a professional game?
Answer: 841 / pi inches^2
Step-by-step explanation:
circumference of circle on the sphere = 2*pi*r
surface area of sphere = 4 * pi * r^2
29 inches = 2 * pi * r
r = 29 / (2 * pi) inches
surface area of sphere = 4 * pi * r^2
= (2 * pi * r) * 2 * r
= (29 inches) * 2 * (29 / (2 * pi) inches)
= (29 inches) * (29 / (pi) inches)
= 841 / pi
exact answer is 841 / pi inches^2
which is approximately 267.7 inches^2
Tomar's paycheck varies directly with the hours he works. When Tomar works 5 hours, he gets paid $60.00. How muci
does Tomar make in 8 hours?
Answer:
$96
Step-by-step explanation:
First you would divide 60 by 5 which gives you 12.
Second, you would times 12 by 8 which gives you $96.
Question 3 of 30
Choose the one expression below that is true.
A. (3 + 2) + 10 = 3 + (2 + 10)
Answer:
what are the other options?
Which linear inequality is represented by the graph?
Answer:
y < 1/3x - 1.3
Step-by-step explanation:
Good Luck! hope this helps
10 ft
12 ft
8 ft
16 ft
Answer:
140 ft²
Step-by-step explanation:
You find the area of each shape (rectangle and triangle) and add them together.
1. To find the area of the rectangle multiply the width (16) by the length (8) to get 128 ft².
2. Then to find the area of the triangle you need to first find the missing sides of the triangle. To find the height subtract the 12ft by the 8ft to get a height of 4 ft. The find the length by subtracting the 16 ft by the 10 ft.
3. Now we multiply the height and and length then divide by 2 to get 24ft/2 which equals an area of 12ft².
4. Now that we have the areas of each shape, we add the areas together. 128 ft² + 12 ft² = 140 ft²
Which of the following expressions matches the statement above?
A.
7 + 5 × 2
B.
2 × (5 + 7)
C.
5 × (2 + 7)
D.
5 + 7 × 2
Answer:
B. 2 x (5 + 7)
Step-by-step explanation:
Hope This Helps Tell me If Im Wrong
I need help fast K12 look at picture
Answer:
k = 45
Step-by-step explanation:
k (constant of proportionality) = y / x
y = 135 and 225 and x = 3 and 5
So you do 135 / 3 which is 45
And then 225 / 5 is also 45
Therefore the constant of proportionality (k) is 45
Billy's dog weighs 30 pounds. Ruth's dog weighs two sixths as much as Billy's dog. How many pounds do Billy's dog and Ruth's dog weigh in all?
The number of pounds that Billy's dog and Ruth's dog weigh in all is; 40 pounds
Algebra Word Problems
Weight of billy's dog = 30 pounds
Weight of Ruth's dog = 2/6 of billy's dog = 2/6 * 30 = 10 pounds
Thus, total weight of both billy and ruth's dog is;
Total weight = 30 + 10
Total weight = 40
Read more about Algebra Word Problems at; https://brainly.com/question/13818690
4. There are 4 cartons of orange juice in each package. If there are 79 cartons of orange juice, how many packages can be filled? 79 : 4 = So, packages can be filled.
Answer:
The answer is 19.75 or 19 packs and one pack going to have 3 out of 4 cartons
Step-by-step explanation:
There are 4 cartons in each bundle, for a total of 79 cartons. You'd take 79 and split it by four to get 19.75. It would have been 20 if there were 80 cartons of orange juice.
Quadrilateral PEST has vertices (0, -5), (9, 2), (12, 13), and (3, 6), respectively.
a) Sketch a graph of the quadrilateral.
b) Classify the quadrilateral as a square, rectangle or rhombus.
c) Determine the intersection point of the diagonals.
will give brainliest :)
Answer:
what they said was correct just took the test
Step-by-step explanation:
Eliminate the parameter of the following equations and write in rectangular form in terms of x and y.
x=2+3cost, y=1−sint
Show all work for full credit.
Solve for cos(t) and sin(t):
x = 2 + 3 cos(t) ⇒ cos(t) = (x - 2)/3
y = 1 - sin(t) ⇒ sin(t) = 1 - y
Recall the Pythagorean identity,
sin²(t) + cos²(t) = 1
It follows that
((x - 2)/3)² + (1 - y)² = 1
or
(x - 2)²/9 + (y - 1)² = 1
which expression is equivalent 8(2s + 6)
Answer:
16s + 48
Step-by-step explanation:
8(2s + 6) ← multiply each term in the parenthesis by 8
= 16s + 48
Answer:
The answer is 16s+48 because you have to multipy everything.
Find the 15th term of the geometric sequence 2,−8,32,...
Answer: first term (a)= 2
second term (b) = -8
common ratio (r) = -8/2 = -4
15th term = ar^ (n-1)
= 2* (-4)^ 14 =536870912
Step-by-step explanation:
Answer:
536,870,912
Step-by-step explanation:
the formula for geometric sequences is:
aₙ = a₁·[tex]r^{n-1}[/tex]
where aₙ is, in this case the 15th term
r = common ratio which, in this case, is -4
a₁ = first value in the sequence
so:
a₁₅= 2(-4)^14
= 2(268,435,456)
= 536,870,912
Exponential form of root 3^2y
Answer:
Please remember
n
√
x
is written as
x
1
n
in exponential form
Hence
3
√
x
2
y
can written as
(
x
2
y
)
1
3
As
(
x
a
)
b
is nothing but
x
a
⋅
b
3
√
x
2
y
=
(
x
2
y
)
1
3
=
x
2
⋅
(
1
3
)
*
y
1
3
=
x
2
3
*
y
1
3
Step-by-step explanation:
Find the distance between the points (-4,-3) and (-1,7) round to the nearest tenth
Answer:
[tex]\sqrt{109}[/tex] units
Step-by-step explanation:
To find the distance between two points on a graph, we use the distance formula [tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex] where [tex]d[/tex] is the distance between points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
For this problem, we will identify [tex](x_1,y_1)\rightarrow(-4,-3)[/tex] and [tex](x_2,y_2)\rightarrow(-1,7)[/tex]:
[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\\\\d=\sqrt{(7-(-3))^2+(-1-(-4))^2}\\\\d=\sqrt{10^2+3^2}\\\\d=\sqrt{100+9}\\\\d=\sqrt{109}[/tex]
Therefore, the distance between [tex](-4,-3)[/tex] and [tex](-1,7)[/tex] is [tex]\sqrt{109}[/tex] units
Question 6
Express this decimal as a fraction.
?
1.21 =
^ it has a line over the 21.
Answer:
1.(21) = 120/99
Step-by-step explanation:
that's right answer ig :)
the mean of five data is 10. if a new variate is included, the mean of the six data becomes 11. Find the sixth data.
Hey there mate :)
The sixth data is 16
Draw a tree and fine the prime factors 150
Answer:
I'm not drawing a tree but 2 x 3 x 5^2=150
Step-by-step explanation:
Which of the following is the equivalent fraction to 1/4
Answer:
2/8 , 4/16 , 25/100
Step-by-step explanation:
you didn’t give me no answer choices but here is some that match that.
on a normal distribution a score of 100 on the current IQ test with a standard deviation of 15 points would mean you scored higher than _____ percentage of the population.
Please explain how you got the answer
Answer:
50%
Step-by-step explanation:
A score of 100 on the current IQ test with a standard deviation of 15 points means you scored higher than about 25.14% of the population, based on the normal distribution and z-score calculation.
To find the percentage of the population that scored lower than a score of 100 on the IQ test,
Use the z-score formula and the standard normal distribution calculator.
The z-score formula is: z = (X - μ) / σ
Where,
X = The raw score (in this case, 100)
μ = The mean of the distribution (here, the mean IQ score)
σ = The standard deviation of the distribution (in this case, 15)
Now, let's calculate the z-score:
z = (100 - μ) / 15
Since we want to know the percentage of the population that scored higher than 100,
The area under the curve to the right of the z-score in the standard normal distribution calculator.
The standard normal distribution calculator provides the cumulative probability to the left of the z-score.
To get the percentage of the population that scored higher than 100, we subtract the cumulative probability from 1.
Using the calculator, if the z-score is approximately 0.67, then the cumulative probability to the left of the z-score is 0.7486.
The percentage of the population that scored higher than 100 is Percentage = 1 - 0.7486 ≈ 0.2514 or 25.14%
Therefore, a score of 100 on the current IQ test would mean you scored higher than about 25.14% of the population.
learn more about score here
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For what positive integers $c$, with $c < 100$, does the following quadratic have rational roots? \[ 3x^2 + 20x + c \]
The positive integer c for the expression to have a rational root is 8
Calculate the rational root of a functionFor a quadratic equation to have a rational root, then;
[tex]b^2-4ac =0[/tex]
From the given equation;
a = 3
b = 20
Substitute into the equation above to have:
20^2-4(3)c = 0
400 - 12c = 0
12c =100
c = 100/12
c= 8.3
Hence the positive integer c for the expression to have a rational root is 8
Learn more on rational root here: https://brainly.com/question/10937559
