Answer:
x = 7
Step-by-step explanation:
-4x/-4 = -28/-4
x = 7
The 5th term in a geometric sequence is 120. The 7th term is 30. What are the possible values of the 6th term of the sequence.
Answer:
± 60
Step-by-step explanation:
aₙ = a₁ * rⁿ⁻¹
a₇ = 30 = a₁ * r⁷⁻¹ = a₁ * r⁶ (1)
a₅ = 120 = a₁ * r⁵⁻¹ = a₁ * r⁴ (2)
(1)/(2): 30/120 = 1/4 = r²
r = ± 1/2 or ± 0.5
a₁ = a₇/r⁶ = 30/0.5⁶ = 1920
a₆ = 1920 * (± 1/2)⁶⁻¹ = 1920 * ± 1/32 = ± 60
The possible values of the 6th term of the sequence ± 60.
The 5th term in a geometric sequence is 120.
The 7th term is 30
We have to determine the 6th term of the sequence.
What is the formula for the nth term of the sequence?[tex]a_n = a* r^n[/tex]
a₇ = 30 = a₁ * r⁷⁻¹ = a₁ * r⁶ ...... (1)
a₅ = 120 = a₁ * r⁵⁻¹ = a₁ * r⁴ ... (2)
(1)/(2): 30/120 = 1/4 = r²
r = ± 1/2 or ± 0.5
a₁ = a₇/r⁶ = 30/0.5⁶ = 1920
a₆ = 1920 * (± 1/2)⁶⁻¹ = 1920 * ± 1/32 = ± 60.
To learn more about the geometric sequence visit:
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Solve for y: -5y + 6 = 16
Answer:
y= -2
Step-by-step explanation:
Answer:
[tex]y=2[/tex]
Step-by-step explanation:
Well first move the 6 to the right side to isolate the y by taking 6 away from both sides to get [tex]-5y=10[/tex]. Then divide both sides by -5 to get [tex]y=2[/tex]. Hope this helps!
Pls mark brainliest!Calculate the mean for each set of data.
a 12, 18, 9, 14, 8, 7
Answer:
11.3, rounded
Step-by-step explanation:
mean = average. Add them all up, then divide by how many entries/data points you have.
12 + 18 + 9 + 14 + 8 + 7 = 68
There are 6 numbers we added, so 68/6 = 11.3333333
Please let me know if you have questions.
i need help with the graph problems,under the do now question
Point P is plotted on the number line. Point Q is the opposite of point P. Determine the location of point Q on the number line. Explain how you determined the location of point Q on the number line.
Answer:
Point Q is in between -3 and -2
Step-by-step explanation:
Point P is in between 2 and 3 so now do the opposite.
195.43 rounded to the nearest 10th
Answer is
195
or if you actually mean a tenth it would be
100
Plz help ASAP I will mark u branliest
Answer:
5.k=3
7.p=4
Step-by-step explanation:
5.7=2k+1
7=2k+1 subtract 1 on both sides
6=2k divide by 2 on both sides
k=3
7. 11=4p-5
11=4p-5 add 5 to both sides
16=4p divide by 4 on both sides
p=4
Answer:
5: k=3
7: p=4
Step-by-step explanation:
5: sub 1 from each side divde by 2
7: add 5 to both sides divide each side into 4
The triangle below has an area of 54 ft squared and a 9 ft base. What is the height of the triangle?
Answer:
height of triangle= 12
Step-by-step explanation:
A= 1/2bh
54=1/2(9)h
54= 4.5h
54/4.5= 4.5/4.5
h= 12
1. 48 cm
2. 30 cm
3. 24 cm
4. 54 cm
what's the answer
Step-by-step explanation:
The answer is definitely 2.
which is 30 cm
Graph f(x) = 6x^2-11+3 and
find the zeroes
Answer:
x = ±1.155
Step-by-step explanation:
We need to graph the given function [tex]f(x) = 6x^2-11+3[/tex] and find its zeroes.
The attached figure shows the graph of the given function.
To find zeroes,
Put f(x) = 0
So,
[tex]6x^2-11+3=0\\\\x=\pm 1.155[/tex]
Hence, this is the required solution.
Who can help me with my homework for free
Answer:
me ig
Step-by-step explanation:
Sam has worn a green shirt on 10 of the last 20 days. Considering this data, how many times
would you expect Sam to wear a green shirt in the next 12 days?
Answer quickly
I think it is 6 because 10 is half of 20 so 6 is half of 12
Sam should wear green shirt for 6 days in next 12 days.
What is fraction?Fraction is a number that represent part of a whole quantity. It has two parts, numerator and denominator, the number above the horizontal line is numerator, and number under the the line is denominator.
Given,
Sam wore green shirt on 10 of the last 20 days
Fraction of days the wearing green shirt to total days = 10/20 = 1/2
Number of days of wearing green shirt in next 12 days
= 12 × 1/2
= 6 days
Hence, in next 12 days, Sam should wear green shirt for 6 days.
Learn more about ratio here:
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in a school the number of girls exceeds the number of boys by 15% find the ratio number of boys to number of girls
Answer:
20:3
Step-by-step explanation:
no.of boys /no.of girls =20:3
HELP FAST I'LL MARK YOU BRAINLIEST
Which below is not always true about a Rhombus?
1. All side are equal
2. Opposite sides are equal and congruent
3. Consecutive angles are supplementary
4. Diagonals are congruent
Answer:
4
Step-by-step explanation:
In a rhombus, the diagonals are congruent. It is not always true. If the diagonals become congruent then It becomes square. Hope this helps!
Answer:
4) Diagonals are congruent is NOT always true
Step-by-step explanation:
Diagonals are only congruent if it's square, so this one is not always true.
Please help me out . :)
Answer:
1080ft cubed
Step-by-step explanation:
The formula is "lenght times width times height."
Please helppppp
In GHI the measure angle I = 90° the measure of angle G = 5° and IG = 57 feet. Find the length of GH to the nearest tenth of a foot
Answer:
GH = 57.2 feet
Step-by-step explanation:
Given the following
m<I = 90 degrees
<G = 5 degrees
IG = 57 feet
Required
Length of GH
According to the data given
GH is the hypotenuse
iG is the adjacent side to m<G
Cos theta = adj/hyp
Cos 5 = IG/GH
Cos 5 = 57/GH
GH = 57/cos 5
GH = 57/0.9962
GH = 57.2 feet
Answer: 57.2 feet
Step-by-step explanation:
JUHE
Carlos says that the first step to solve this equation is to divide
both sides by -7. Is he correct? Explain.
Can someone please help me with this math question??
A rectangle is plotted on a coordinate plane. The four vertices are located at (−5,5), (−5,−3), (2,5), and (2,−3). What is the area of the rectangle?
The area of the rectangle is ______ square units.
Answer:
56 square units
Step-by-step explanation:
I'd recomend using something like "Desmos" to plot the points so then you can see the points and the rectangle. Then count the length and width. For the this rectangle the length was 8 and the width was 7, multiply these and you get the answer of 56 sqaure units.
Help me please! This is due today!
Answer:
the question is fillped i can not see the questions
Step-by-step explanation:
Which graph represents the parametric equations x(t) = t + 3 and y(t) = t2 – 1 for –1 ≤ t ≤ 3?
Answer:
Graph 4 or D on edge
Step-by-step explanation:
guy above is correct
The formula that is used for calculating a parametric equation when converting from rectangular to parametric is y=f(x)
What is a Parametric Equation?This refers to the type of equation that is used to show an independent variable called a parameter, usually with the number 1.
Please note that your question is incomplete so I gave you a general overview to give you a better understanding of the concept.
Read more about parametric equations here:
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find the value of x in this screenshot
Answer:
X=24
Step-by-step explanation:
3x+5+2x-4+2x+11=180
7x+12=180
7x=180-12
7x=168
7x/7=168/7
x=24
Solve the following quadratic equations using factoring.
a. x2 + 10x + 24 = 0
Answer:
x = - 6, x = - 4
Step-by-step explanation:
Given
x² + 10x + 24 = 0 ← in standard form
(x + 6)(x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 6 = 0 ⇒ x = - 6
x + 4 = 0 ⇒ x = - 4
The function f(x)=(25)x
is shown on the coordinate plane. Which statement is true?
Answer: In the right end, as x increases without bound, the graph of f(x) decreases.
In the left end, as x decreases without bound, the graph of f(x) increases.
Step-by-step explanation:
According to the graph, the end behaviour of the function in the image is decreasing without bound. When we graph a function, with put an arrow to indicate when a function increases or decreases without bound, that's why in this case we can say the decreases without bound, the function extends without limit.
Therefore, as the x increases, f(x) decreases. If you carefully pay attention to the graph, x is constantly increasing in the right end, and f(x) is more and more close to the x-axis.
work out how many degrees
Rosa is making a game board that is
16 inches by 24 inches. She wants to
use square tiles. What is the largest
tile she can use?
Please show working
Answer:
8" by 8"
Six of those will fit on the board
Step-by-step explanation:
Answer:
The largest tile she can use is a 8 inches by 8 inches tile.
Step-by-step explanation:
Rosa is making a game board that is 16 inches by 24 inches.
She wants to use square tiles.
The area of the game board (area of a rectangle) is equal to length times width.
∴ Area = 16 inches × 24 inches = 384 square inches
The prime factors of 384 are; 2^7 × 3
We can put it as;
2^6 × 6 = 384
The square root of 2^6 is 2^3 = 8
So Rosa will need six square tiles of 8 inches by 8 inches each.
Hence the largest tile she can use is a 8 inches by 8 inches tile.
10) A basketball player attempts two free
throws. Each attempt results in a score or
a miss.
A) {(S, S), (M, M)}
B) {(S, S), (S, M)}
C) {(S, S), (S, M),
(M, S), (M, M)}
D) {(S, S), (M, S)}
I'LL GIVE YOU 5 STARES HELP. Find the area of the figures shown below and drop the correct result Into the appropriate blank. DRAG & DROP THE ANSWER 14 cm 55 cm 8 cm 11 36 m² 5 cm 38 cm 8 cm 58 cm 39 m2 8 m 40 m² 11 4 m 70 cm 10 m
daniel uses a 20.00 bill to purchase an item that costs d dollars. Write an equation to represent the amount of chnage c that he should receive?
Answer:
c= 20.00-d
Step-by-step explanation:
Please help. Which choice describes the shape of the data?
Answer:
?
Step-by-step explanation: