I keep getting a step wrong because I’m getting a radio that isn’t on here..
Answers
Given:-
7th term is 77 and 8th term is 231.
To find:-
The common ratio.
Now to find the common ratio we divide both the numbers. we get,
[tex]\frac{231}{77}=3[/tex]So the common difference is 3.
So the common ratio is 1/3.
Answer:
3
Step-by-step explanation:
Geometric sequence:
[tex]\sf Common \ ratio = \dfrac{(n+1)^{th} \ term}{n^{th}}[/tex]
[tex]\sf = \dfrac{8^{th} \ term}{7^{th} \ term}\\\\\\ =\dfrac{213}{77}\\\\\\=3[/tex]
Related Questions
.A jar contains 15 green marbles numbered 1 through 15 and 9 red marbles numbered 1 through 9. A marble isdrawn at random from the jar. Find the probability that the marble is green or even numbered.
Answers
Answer: 19/24
Explanation:
From the information given,
Number of green marbles = 15
Number of red marbles = 9
Total number of marbles = 15 + 9 = 24
Probability is expressed as
number of favorable outcomes/number of total outcomes
Probability f selecting a greeen marble = 15/24
Even numbers divide 2 without a remainder. The even numbered marbles are
red = 2, 4, 6, 8
green = 2, 4, , 68, 10, 12, 14
Total number of even numbered marbles = 11
Probability of selecing an oevennumber = 10124
The events are not mutually exclusive becuse they can occur together. For two ebvents, A and B that are not mutually exclusive,
P(A U B) = P(A) + P(B) - P(A and B)
Thus,
the probability that the marble is green or even numbered = Probability of selecting a green marble + Probability of selecting an even number - Probability of selecting a green and even numbered marble
Number of green even numbere marble s = 7
Probability of selecting a green and even numbered marble = 7/24
Thus,
the probability that the marble is green or even numbered = 15/24 + 11/24 - 7/24
the probability that the marble is green or even numbered = 19/24
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer: 19.6 feet
Step-by-step explanation:
Using the Pythagorean theorem,
[tex]x^2 +(x+6)^2 =48^2\\\\x^2 +x^2 +12x+36=2304\\\\2x^2 +12x-2268=0\\\\x^2 +6x-1134=0\\\\x=\frac{-6 \pm \sqrt{6^2 -4(1)(-1134)}}{2(1)}\\\\x \approx 30.8 \text{ } (x > 0)\\\\\implies x+(x+6) \approx 67.6\\\\\therefore (x+(x+6))-48 \approx 19.6[/tex]
Which equation represents the total commission (c) a sales associate receives if he sells laptop computers (l) with a commission of $39.95 for each sold laptop? What's the total commission if he sells 15 laptops?
A)
l = 39.95c; $599.25
B)
c = 39.95l; $2.66
C)
l = 39.95c; $2.66
D)
c = 39.95l; $599.25
Answers
Answer:
D
Step-by-step explanation:
The total commission is the number of laptops times the commission per laptop. Thus, [tex]c=39.95l[/tex].
Setting [tex]l=15[/tex], [tex]c=39.95(15)=599.25[/tex].
At a sale this week, a suit is being sold for $145.60. This is a 74% discount from the original price. What is the original price?
Answers
$145.60 ---> 74%
x -------------> 100%
[tex]\begin{gathered} x\times74=145.60\times100 \\ 74x=14560 \\ \frac{74x}{74}=\frac{14560}{74} \\ x=196.76 \end{gathered}[/tex]answer: $196.76 is the orginal price
Juan had $3.50. Julian had 2 1/2 times as much as juan how much money did julian have
Answers
$3.50 times 2.5 = 8.75 so therefore Julian has $8.75
[{12 - 6 (5 - 3) + 2} + 5 (6-71]
Answers
Here, we want to evaluate the expression
We use the order of operations here PEDMAS ( parentheses, exponents (roots and powers) , division, multiplication, addition and subtraction)
We start out with the parentheses, then move on with the terms outside by multiplication
We have this as follows;
[tex]\begin{gathered} ((12\text{ -6(2)+2)) + 5(-65))} \\ =\text{ ((12-12+2)-325)} \\ =\text{ 2-325 = -323} \end{gathered}[/tex]select the correct location on the graph PICTURE OF PROBLEM AND GRAPH BELOW
Answers
Given the graphed equation:
[tex]0.01x^3-3=|x|-5[/tex]Let's determine the point that represents a negative solution for x.
The solutions are the points where both lines meet.
From the graph, the solution which has a negative solution for x is:
(-2, -3)
In this point of intersection, the value of the x-coordinate is -3 (which is a negative value).
Therefore, the point which represents a negative solution for x is:
(-2, -3)
ANSWER:
(-2, -3)
Which of the following ratios are equivalent to 8:2?
A 16:4
B 40:10
C 2:8
D 10:4
E 1:6
F 4:1
Answers
8 • 2 = 16
2 • 2 = 4
Answer:
A, B, F
Step-by-step explanation:
Well, to do this let's start by simplifying each of the ratios! If they can be simplified to 8:2 then they are a match
A: 16:4
Divide both sides by 2: 8:2 (This is an answer)
B: 40:10
Divide both sides by 5: 8:2 (This is also an answer)
C: 2:8
This one is not possible, because you would have to multiply the 2 by a whole number, and the 8 by a number less than one. Both have to be multiplied/divided by the same number.
D: 10:4
To get the 4 into a 2, we divide by 2. If we divide the 10 by 2 we get 5. Thus, this is not an answer.
E: 1:6
To get the 6 into a 2, we must divide it by 3. If we divide 1 by 3, we get a decimal, not 8.
F: 4:1
Multiply both sides by 2: 8:2 (This is our final answer)
Write an equation in slope-intercept form for the line with a slope of -1 and a y-intercept of -2.
Answers
Answer:
y = -x - 2
Step-by-step explanation:
Write an equation in slope-intercept form for the line with a slope of -1 and a y-intercept of -2.
slope-intercept form: y = mx + b where m = slope and b = y-intercept
when:
slope of -1
y-intercept of -2
then:
y = -1x + (-2)
y = -x - 2
Answer:
y= -x-2
Step-by-step explanation:
y=mx+b
slope=m
y intercept=b
m= -1
b= -2
input values of m and b to get equation:
y=(-1)x+(-2)
y= -1x-2
y = -x-2
y= -x-2
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In a college there are 16 times as many students as professors. If together the students and professors number 42,500, how many students are there in the collego?The number of students in the college is
Answers
Let the number of professors be x.
If there are 16 times as many students as professors, then the number of students will be:
[tex]x\times16=16x[/tex]If the number of students and professors is 42,500, then we have that:
[tex]\begin{gathered} x+16x=42500 \\ 17x=42500 \end{gathered}[/tex]Solving by dividing both sides by 17, we have:
[tex]\begin{gathered} x=\frac{42500}{17} \\ x=2500 \end{gathered}[/tex]Hence, we can calculate the number of students in the college to be:
[tex]\Rightarrow2500\times16=40000[/tex]Therefore, there are 40,000 students in the college.
The radius of a cylindrical water tank is 6.5 ft, and its height is 12 ft. What is the volume of the tank? Use the value 3.14 for T, and round your answer to the nearest whole number. Be sure to include the correct unit in your answer. Continue 6.5 ft 12 ft 0 K ft X ft² 5 ft3 ?
Answers
Solution:
The volume of a cylinder is expressed as
[tex]\begin{gathered} volume=\pi r^2h \\ where \\ r\Rightarrow radius\text{ of its circular end} \\ h\Rightarrow height\text{ of the cylinder} \end{gathered}[/tex]Given the cylindrical water tank below:
where
[tex]\begin{gathered} r=6.5\text{ ft} \\ h=12\text{ ft} \\ \pi=3.14 \end{gathered}[/tex]By substitution, we have
[tex]\begin{gathered} volume\text{ = 3.14}\times(6.5)^2\times12 \\ =1591.98 \\ \Rightarrow volume\approx1592\text{ ft}^3\text{ \lparen nearest whole number\rparen} \end{gathered}[/tex]Hence, the volume of the cylindrical water tank, to the nearest whole number, is
[tex]1592\text{ ft}^3[/tex]Finding the final amount in a world power problem on a compound interest
Answers
Using the compound interest formula, we have:
[tex]FV=2000(1+\frac{0.12}{2})^{6\cdot2}[/tex][tex]FV=2000(1.06)^{12}[/tex][tex]FV\approx4024.39[/tex]HELPPPP PLSSSS I NEED A STEP BY STEP
Answers
Answer:
see explanation
Step-by-step explanation:
If the ratios of two pairs of corresponding sides of the 2 triangles are equal and the included angles are congruent then the triangles are similar by the
SAS postulate.
[tex]\frac{AC}{DF}[/tex] = [tex]\frac{5.1}{1.7}[/tex] = 3
[tex]\frac{BC}{EF}[/tex] = [tex]\frac{3.3}{1.1}[/tex] = 3
∠ C = 180° - (36 + 67)° = 180° - 103° = 77° , then the included angles
∠ C and ∠ F = 77° are congruent
Then
Δ ABC and Δ DEF are similar by the SAS postulate
What is the answer we need the answer
Answers
To earn exactly $252, madison needs to work for 21 hours.
Time money
worked earned
5 60
8 96
12 144
15 180
We need to find how many hours should madison work to earn exactly $252
For 5 hours she earns $60
So in 1 hour she earns $ 60/5 = 12
For $1 she needs to work for 1/12 hour
For 252 she need to work for (1/12) 252
For 252 she need to work for 21
Therefore, to earn exactly $252, madison needs to work for 21 hours.
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A. "Describe the trend in vehicle sales over time" - Should I use a regression model or just a linear model?
Answers
Regression
A) We can see the graph and through the data that the most indicated form is to find the regression model since there is not much uniformity among the data to describe it as a purely linear model.
Plotting that scatterplot, and generating the equation we know that the equation is:
[tex][/tex]can someone please help me i don't understand this
Answers
Answer:
Step-by-step explanation:
equation of finding a midpoint is (x2+x1)/2 and (y1+y2)/2
7) (4+12)/2 = 8 and (9+-4)/2= 2.5
hence midpoint is (8,2.5)
8) we are told the midpoint so we can now find the co-ordinates of the other endpoint:
(5+x)/2= -3
rearrange to find x--> 5+x =-6, so x=-11
(-7+y)/2=2
rearrange to find y--> -7+y=4, so y=11
other endpoint: (-11,11)
5) the gradient of the new equation is parallel to y=3x+7 so it will stay the same
y=3x+c
we know that the points this line passes through is: (-4,-8) so we substitute this into our new equation to find c
-8= (3 x -4) +c
-8=-12 +c
so c= 4
Hence our new equation is y=3x+4
6) perpendicular gradient means that our existing gradient needs to be reciprocated (turned into negative and then flipped)
new gradient is -1/3
y=-1/3x+c
we know the value for x and y so we can substitute into our new equation to find c
9=(-1/3 x -6) +c
9=2 + c
c= 7
Hence our new equation is y=-1/3x+7
Hope this helps!
What are the factors of the following quadratic?x2 + 9x + 8
Answers
we have
x2 + 9x + 8
Find the factors
Complete the square
(x^2+9x+81/4)-81/4+8=0
Rewrite as perfect squares
(x+9/2)^2=81/4-8
(x+9/2)^2=49/4
square root both sides
(x+9/2)=(+/-)7/2
x=-9/2(+/-)7/2
so
x1=-9/2+7/2=-1
x2=-9/2-7/2=-8
therefore
x2 + 9x + 8=(x+1)(x+8)
answer is
The factors are
(x+1) and (x+8)
A building is constructed using bricks that can be modeled as right rectangular prisms with a dimension of 8in by 2 3/4 by 2 3/4.If the bricks cost $0.06 per cubic inch, find the cost of 850 bricks. Round your answer to the nearest cent.
Answers
Given the building that can be modeled as a
right rectangular prism with dimentions
8 * 2 3/4 * 2 3/4
Volume is given by
[tex]V=8*2\frac{3}{4}*2\frac{3}{4}[/tex][tex]V=8*2\frac{3}{4}*2\frac{3}{4}[/tex][tex]V=60.5in^3[/tex]since we have 850 bricks
the volume occupied by 850 bricks is therefore
[tex]Vbricks=60.5*850[/tex][tex]Vbricks=60.5*850[/tex][tex]Vbricks=51425[/tex]then
the cost of the 850 bricks is
[tex]Cbricks=51425*0.06[/tex][tex]Cbricks=3085.5[/tex]cost of bricks is $3085.50
PLS HELP ILL MATK BRAINLIEST
the area of a square garden is
84 square
feet what is the best estimate of the sidelenght of the garden
21
11
7
9
Answers
Answer:
40q7572928254949262618394938282920420
How many deciliters are in 1 milliliter?100100.10.01
Answers
We are asked to find how many deciliters can be found in 1 mililiter.
To get the solution we have to find the conversion factor. All we need to do is divide the volume by 100.
Here is a formula
[tex]\text{Value in deciliters =}\frac{Value\text{ in mililiters}}{100}[/tex]This implies,
[tex]\begin{gathered} \text{Value in deciliters=}\frac{1}{100} \\ \text{Value in deciliters}=0.01 \end{gathered}[/tex]ANSWER: 0.01
2A professional pyro technician shoots fireworks vertically into the air from the ground with an initial velocity of 192
feet per second. The height in feet of the fireworks is given by h(t) = -16t² + 192t.
a. How long does it take for the fireworks to reach the maximum height?
b. What is the maximum height reached by the firework?
Answers
Answer:
See below
Step-by-step explanation:
Maximum height will be found at the t value = - b/2a
b = 192 a = -16
so max height will be at t = - 192/(2 * -16) = 6 s
Max height will be h = -16(6^2) + 192(6) = 576 ft
the diagram shows a sector of a circle, center O. The radius of the circle is 6cm. angle AOB is 120. work about the perimeter of the sector.
picture below:
Answers
The perimeter of the sector is 2cm
The diagram shows a sector of a circle, center O.
The radius of the circle is 6cm.
The angle AOB is 120
We need to find the perimeter of the sector
s = r∅
Where ∅ is the angle subtended by the arc
r is the radius of the circle
s = 6 (120/360)
s = 6 (1/3)
s = 2
Therefore, the perimeter of the sector is 2cm
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Simplify: 3 3/9+2 10/18
Answers
The answer of the given fraction after simplification is 2.11.
Define simplification.To simplify simply means to make anything easier. Simplifying an equation, fraction, or issue in mathematics entails taking something complex and making it simpler. Calculations and problem-solving techniques simplify the issue. By eliminating all common components from the numerator and the denominator and putting the fraction in its simplest/lowest form, we can simplify fractions.
Given fraction is:
= 3 * 3/9 + 2 * 10/18
By simplifying the given fraction, we get
= 3 * 1/3 + 10/9
= 1 + 1.11
= 2.11
The answer of the given fraction after simplification is 2.11.
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Factor the expression 36a + 42b - 18a + 6
+10 points=brainliest
Answers
Answer:
6(3a+7b+1)
Step-by-step explanation:
36a+42v-18a+6
18a+42b+6
GCF=6
6(3a+7b+1)
The factor of the given expression is 6(3a+7b+1).
What are factors?A factor is a number that divides another number, leaving no remainder.
Given an expression, 36a + 42b - 18a + 6
On factoring, we get,
36a + 42b - 18a + 6
= 18a+42b+6
= 6(3a+7b+1)
Hence, The factor of the given expression is 6(3a+7b+1).
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In a proof what is the reason that justifies this statement:
Segment BP is congruent to segment BP.
Answers
Answer: I believe that the BP segment is equal to BP segment because of the reflexive property.
Step-by-step explanation:
The required reason is that segment BP is congruent to segment BP that Segment BP is the common side among both triangles.
In congruent geometry, the shapes that are so identical. can be superimposed on themselves.
Here,
The necessary explanation is that segment BP and segment BP are congruent because segment BP is the common side of both triangles BPS and BPY, as shown in the figure.
Thus, the required reason is that segment BP is congruent to segment BP and that Segment BP is the common side among both triangles.
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9.3 divided by 3.8 HELP ME
Answers
Answer:
Step-by-step explanation:
0 0. 4 0
9 3 3 8. 0 0
− 0
3 8
− 0
3 8 0
− 3 7 2
8 0
− 0
8 0
0.40
2.45 is the answer to 9.3 divided by 3.8
10 Daphne is making bows for extra money. For every 3 feet of ribbon she has, she can make 5 bows. Which table shows the possible values of the number of bows she can make and the amount of ribbon she will use? 3 15 33 5 15 20 55 В. 3 18 27 36 5 60 45 50 3 6 15 30 5 10 25 50 11 3 18 27 5 10 30 40
Answers
Daphne makes 5 bows for every 3 feet of ribbon, this means that for every 3 feet increase in length of ribbon the bows increases by five. So,
For 3 feet, bows are 5,
For 6 feet bows are 10,
For 9 feet bows are 15,
For 12 feet bows are 20
For 15 feet bows are 25,
for 18 feet bows are 30,
For 21 feet bows are 35,
For 24 feet bows are 40.
For 27 feet bows are 45
For 30 feet bows are 50.
Thus option C is correct.
Divide £350 in the ratio
3:11
Answers
£350 is divided in the ratio 3:11 is £75 and £275.
The given ratio is 3:11.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
We need to divide £350 in the given ratio
Now, 3+11=14
3/14 × 350
= £75
11/14 × 350
= £275
Hence, £350 is divided in the ratio 3:11 is £75 and £275.
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make a tree diagram to show the sample space. then, give the total number of outcomes. question 1. making a meal with chicken or steak and broccoli, carrots, potatoes,or green beans.
Answers
The sample space which is the total possibilities is 4
Graph the function by first finding the relative extrema. f(x) = x3 + 4x2 - X - 4 $ HI 4 M 2 4 a 2 4 2 WHATS
Answers
The relative extrema of the function f(x) = x³ + 4x² - x - 4 is at
( [tex]-\frac{4+\sqrt{19}}{3} ,\frac{56+38\sqrt19}{27}[/tex] )and the graph of the function is attached below.
The given function is f(x) = x³ + 4x² - x - 4
For the relative extrema we will first have to find the first derivative of the function:
f'(x) = 3x² + 8x - 1
Now for4 the function to have an extremum, f'(x) = 0
3x² + 8x - 1 = 0
Solving we get :
the values of x using the quadratic formula are [tex](-\frac{4-\sqrt{19}}{3} , -\frac{4+\sqrt{19}}{3} )[/tex] .
Now we will substitute the values of x in the function f(x) to get the local extremum.
The maximum value of f(x) is [tex]\frac{56+38\sqrt19}{27}[/tex].
The minimum value of f(x) is [tex]\frac{56-38\sqrt19}{27}[/tex] .
Now we will use various points to find the values of f in the function.
At x = -3 , y = 8
At x = 0 , y = -4
At x =-1 , y = 0
Hence the relative extremum of the function is at [tex](-\frac{4+\sqrt{19}}{3} ,\frac{56+38\sqrt19}{27})[/tex] .
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