Step-by-step explanation:
relax ! don't panic. just breathe deeply and then focus again.
a geometric sequence means that every new term is created by multiplying the previous term by a constant factor.
this factor is given here as 3/2.
this is called common ratio, because of that building rule the ratio of 2 consecutive terms is
an/an-1 = factor = 3/2
the first term is 3.
so,
a1 = 3
a2 = a1×3/2 = 3×3/2 = 9/2
a3 = a2×3/2 = a1×3/2 × 3/2 = 3× 3/2 × 3/2 = 27/4
we see
an = an-1 × 3/2 = a1 × (3/2)^(n-1) = 3 × (3/2)^(n-1)
and therefore
a8 = 3 × (3/2)⁷ = 3× 2187/128 = 6561/128 = 51.2578125
Given side AB in triangle ABC has length x, what is the length of side AC?
The length of the side AC is 2x and this can be determined by using the sine function which is an important trigonometric function.
Given :
Given side AB in triangle ABC has length x.
The trigonometric function can be used to determine the length of the side AC. Sine function can be used to determine the length of AC.
The sine function is the ratio of the opposite side to the hypotenuse. The sine function is given by:
[tex]\rm sin\theta = \dfrac{Opposite }{Hypotenuse}[/tex]
Now, put the known values in the above equation.
[tex]\rm sin30^\circ = \dfrac{x}{AC}[/tex]
[tex]\rm \dfrac{1}{2}=\dfrac{x}{AC}[/tex]
AC = 2x
So, the correct option is D).
For more information, refer to the link given below:
https://brainly.com/question/21286835
Using the equation R(x) = x - 2,000 What would be the y value when x is 70,000?
72,000
68,000
74,000
50,000
Answer:
68k
Step-by-step explanation:
you replace x with 70,000 and subtract 2k then you have your answer :)
Dont forget to say thanks if this helped :)
describe a set of data that has neither a positive nor a negative association , but does have a valid trend line
Answer:
Step-by-step explanation:
The points on the scatter plot seem to be scattered randomly, there is no relationship or no correlation between the variables.
Given that, a set of data that has neither a positive nor a negative association, but does have a valid trend line.
What is scatter plot?Scatter plots are used to observe and plot relationships between two numeric variables graphically with the help of dots. The dots in a scatter plot shows the values of individual data points.
If the points on the scatter plot seem to form a line that slants down from left to right, there is a negative relationship or negative correlation between the variables. If the points on the scatter plot seem to be scattered randomly, there is no relationship or no correlation between the variables.
Therefore, the points on the scatter plot seem to be scattered randomly, there is no relationship or no correlation between the variables.
To learn more about the scatter plot visit:
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many non-profit groups ask for donations during december. do men give higher monetary donations than women in the month of december? how should we write the alternative hypothesis? let mum be the population mean donation for men and let muw be the population mean donation for women.
Helppppppppplplppppai
Answer:
D.
Step-by-step explanation:
Well, here we look at the frequency to determine probability. As a dice has 3 even and odd numbers, the probability shall be gotten by dividing the total number of frequencies for even numbers (2,4,6) by the total number of trials.
i.e (10+10+9)/50
so the probability is 29/50 or 0.58 or 58%
Since the probability of getting even numbers is 0.58 and since the total probability is always 1, we can clearly see that the probability of one rolling an even number as per the sample is higher than that of rolling an odd number.
Which expression shows the distance on the number line between −7 and 16?
∣∣−7+16∣∣
∣∣−7−16∣∣
∣∣−16−(−7)∣∣
∣∣7−16∣∣
Answer:
c
Step-by-step explanation:
Hope this helps
Brainliest pls
Have a great day!
a person whose height is 6 feet is walking away from the base of a streetlight
write the equation of the line that passes through the points (2 , -1) and has a slope of - 3
Answer:
y=-3x+5
Step-by-step explanation:
y=mx+b
m=slope or gradient (=-3)
y=-3x+b
Add your points
(2, -1)
-1=(-3 x 2)+b
-1= -6+b
-1+6=b
b=5
y=-3x+5
Answer:
[tex]\boxed {\boxed {\sf y= -3x+5}}[/tex]
Step-by-step explanation:
We are asked to find the equation of the line that passes through the point (2, -1) and has a slope of -3.
We are given a point and the slope, so we can use the point-slope formula.
[tex]y-y_1=m(x-x_1)[/tex]
In this formula, m is the slope and (x₁, y₁) is the point the line passes through.
The line has a slope of -3 and passes through (2, -1).
m= -3 x₁= 2 y₁= -1Substitute the values into the formula.
[tex]y--1= -3 (x-2)[/tex]
[tex]y+1= -3 (x-2)[/tex]
Distribute the -3 on the right side. Multiply each term inside the parentheses by -3.
[tex]y+1 = (-3*x) + (-3*-2)[/tex]
[tex]y+1=(-3x) + (6)[/tex]
[tex]y+1=-3x+6[/tex]
Subtract 1 from both sides of the equation to isolate the variable y.
[tex]y+1-1=-3x+6-1[/tex]
[tex]y=-3x +5[/tex]
The equation of the line is y= -3x+5.
100 POINTS IF U GET THIS RIGHT!
Answer:
●y= mx + c
y = 9x + 1/2
slope m =9
solve pls brainliest
Answer:
1/4
Step-by-step explanation:
The constant of proportionality is 1/4.
Answer:
b
Step-by-step explanation:
The form of an equation representing proportion is
y = kx ← k is the constant of proportionality
y = [tex]\frac{1}{4}[/tex] x ← is in standard form
with k = [tex]\frac{1}{4}[/tex]
Simplify the exponential expression 48 Superscript one-half.
Write the given expanded form into the standard form of a number.
4
4
T-Th + 5
+
5
T + 1
+
1
H-Th + 9
+
9
O + 3
+
3
M + 7
+
7
Th
Answer
44,005 + 5,001+ 100,009 + 93 + 3,000,007+ 7,000
Step-by-step explanation:
50 Points Per Answer
Create a function in factored form for a roller coaster.
• Your coaster ride must have at least 3 relative maxima and/or minima
• The ride length must be at least 2 minutes (blueprint must use seconds)
• The coaster ride starts at 250 feet
• The ride dives below the ground into a tunnel at least once
• The ride must have one “turn around/bounce” (Mutliplicity 2)
• The ride must have at least one “twist/swerve” (Multiplicity 3)
• The ride must hit ground level at least three times (Three real zeros)
Answer:
Since you have 3 local extremas, you will have a polynomial function of degree 4. The domain of the function is [0, 4].
Use these initial conditions as your guidelines:
f(0) = 250
f(x) has at least one x-intercept (crosses the x-axis) and must be in the interval (0, 4].
f(x) decreases in any of the following intervals: (0, 1) or (2, 3)
Remember, you will have an arbitrary function that satisfies these conditions.
Step-by-step explanation:
I did :Your coaster ride must have at least 3 relative maxima and/or minima
Find the value of x
A. 30
B. 40
C. 50
D. 60
Answer:
B. 40
Step-by-step explanation:
We can make this an equation since the entire thing equals 360
3x+110+90+40=360
3x=120
x=40
Answer is B
Brainliest please :)
the length of a rectangle is 5 more than twice its width. its perimeter is 70 cm. what is its area? show your solution
Answer:
[tex]250cm^2[/tex]
Step-by-step explanation:
length = 5 + 2w
width = w
P = Sum of all sides
P = 2 * (5 + 2w) + 2w
P = 10 + 4w + 2w
P = 6w + 10
Given Perimeter = 70cm
We substitute
6w + 10 = 70
6w = 70 - 10
6w = 60
w = 60/6
w = 10cm
Since length is 5 + 2w
length = 5 + (2 * 10)
length = 25cm
Area = lw
Area = 25 * 10
Area = [tex]250cm^2[/tex]
Answer:
let
b=x then'
l= 2x+5
Now
p=70
2(l+b)=70
2(x+2x+5)=70
6x+10=70
6x=60
x=6
b=x=10
l=2x+5=25
area of rectangle = l*b
25*10
=250 answer
Solve this. c+5.96=6.76
Answer:
c=0.8
Step-by-step explanation:
Step 1: Subtract 5.96 from both sides.
c+5.96−5.96=6.76−5.96
c=0.8
Who has the best conclusion?
A.Sheryl said the lowest grade was a 70 and the highest grade was a 92.
B.Shania said the highest grade was a 100.
C.Andrea said the lowest grade was a 68 and the highest grade was a 92.
D.Allen said the range of the scores was 32.
Answer:
B. Shania's conclusion is the only accurate one.
Step-by-step explanation:
Large boxes weigh 75 pounds, and small boxes weigh 40 pounds. a. Write an inequality that represents the numbers of large, x , and small, y, boxes a 200-pound delivery person can take on the elevator.
The inequality that represents the numbers of large, x and small, y boxes of a 200 pound delivery person is; 75x + 40y ≤ 200
Weight of large boxes = 75 pounds
Weight of small boxes = 40 pounds
Number of large boxes = x
Number of small boxes = y
Thus;
Total weight of large boxes = 75x
Total weight of small boxes = 40y
If the delivery man has 200 pound weight to deliver, then inequality is;
75x + 40y ≤ 200
Read more about Inequalities at; https://brainly.com/question/24966055
Trevon bought one package of blueberries for $3. How many packages can Elisa buy if she has $63
find the length of segment AB
Answer:
26
Step-by-step explanation:
AB=CB so
3x+8=7x-16
-4x=-24
x=6
then plug that x value into the length which is 3x+8
so 3(6)+8=18+8=26
If a box has a volume of 456 cubic inches, with the length of 1 foot and a height of 4 inches, what is the width of the box?
The ratio of students in Class X to Class Y is 2 : 5. There are 24 more students in Class Y than Class X. How many students must transfer from Class Y to Class X so that both classes have equal number of students?
Answer: 12 students
Step-by-step explanation:
Let X and Y stand for the number of students in each respective class.
We know:
X/Y = 2/5, and
Y = X+24
We want to find the number of students, x, that when transferred from Y to X, will make the classes equal in size. We can express this as:
(Y-x)/(X+x) = 1
---
We can rearrange X/Y = 2/5 to:
X = 2Y/5
The use this value of X in the second equation:
Y = X+24
Y =2Y/5+24
5Y = 2Y + 120
3Y = 120
Y = 40
Since Y = X+24
40 = X + 24
X = 16
--
Now we want x, the number of students transferring from Class Y to Class X, to be a value such that X = Y:
(Y-x)=(X+x)
(40-x)=(16+x)
24 = 2x
x = 12
12 students must transfer to the more difficult, very early morning, class.
JE VOUDRAI CONNAITRE LE RESULTA DE
5√200
please help me :,)
x=-2
x=-1
x=0
x=1
x=2
Answer:
x can equal either 0 or 1
Step-by-step explanation:
If we look at the chart, we see that the values of 3^x = 2x+1
when x is 0 and when x is 1
so f(x) = g(x) when x = 0 or 1
A sink can hold 10 gallons of water.how many quarts of water can the sink hold?
Answer:
40 quarts
Step-by-step explanation:
one gallon is 4 quarts, so ten gallons would be 40.
4(quarts) x 10(gallons) = 40(number of quarts in the 10 gallons)
Find the 8th term of the G.P 9,3,1,
Answer:
a=9 , d=6 n=8
a+(n-1)d = an
9+(8-1)6 = an
9+7×6 = an
9+42 = an
51 = an
help me for brainlist
The line intersects x - Axis at 6
- BRAINLIEST ANSWERER
37.4786 rounded to nearest hundredth
Answer:37.48
Step-by-step explanation:
please help me!!!!!!!!
Answer:
Step-by-step explanation:
Option a,c,e,f,i,j are quadratic equations. (Because its degree is 2)
Option b,d,g are linear equations. (Because its degree is 1)
Just option h is not quadratics nor linear.
If you need to ask any questions, please let me know.In the partial sequence …, 987, N, 2584, 4181, …, each new term is the sum of the two previous terms. Find the whole number value of N.
Answer: 2584
Step-by-step explanation:
We can find N with 2584 and 4181.
4181 - 2584
= 1597
We can also check our answer by adding 1597 and 987
1597 + 987
= 2584
A sequence can be arithmetic, geometric or neither.
The value of N is 1597
The partial sequence is given as:
.... 987, N, 2584, 4181......
From the question, the current term is the sum of two previous terms.
This means that:
[tex]\mathbf{987 + N = 2584}[/tex] and
[tex]\mathbf{N + 2584 = 4181}[/tex]
Make N the subject in both equations
[tex]\mathbf{N = 2584 - 987}[/tex]
and
[tex]\mathbf{N = 4181 - 2584 }[/tex]
So, we have:
[tex]\mathbf{N = 1597}[/tex]
and
[tex]\mathbf{N = 1597}[/tex]
Hence, the value of N is 1597
Read more about partial sequence at:
https://brainly.com/question/12914852
