Answer:
171/40 or 4 11/40Step-by-step explanation:
AP givena + b, a - b, ab, a/bTo find6th termSolutionCommon difference
Difference of first two
d = (a -b) - (a + b) = -2bDifference of second two
d= ab - (a - b)Difference of last two
d = a/b - abNow comparing d:
-2b = ab - (a - b)ab - a = - 3ba(1 - b) = 3ba = 3b/(1 - b)and
a/b - ab = -2ba(1/b - b) = -2ba = 2b²/(b² - 1)Eliminating a:
2b²/(b² - 1) = 3b/(1 - b)2b/(b+1) = -32b = -3b - 35b = - 3b = -3/5Finding a:
a = 3b/(1 - b) = 3*(-3/5) *1/(1 - (-3/5)) = -9/5*5/8 =-9/8So the first term is:
a + b = -3/5 - 9/8 = -24/40 - 45/40 = - 69/40Common difference:
d = -2b = -2(-3/5) = 6/5The 6th term:
a₆ = a₁ + 5d =-69/40 + 5*6/5 = -69/40 + 240/40 =171/40 = 4 11/40True or False. The higher the interest rate, the larger the balance will be after a determined amount of time (than with a lower interest rate).
Answer:
True
Step-by-step explanation:
Principle = Interest * Time
So if time doesn't change, You'll get more money when Interest is higher!
Which equation is nonlinear?
A. y=3
B. y=5/x
C. y=5x+10
D. y=7
Answer:
b
Step-by-step explanation:
b because you cant have x as a denominator in this situation
6/n = 9/24 n=?
I need help, please show steps.....
Answer:
n=16
Step-by-step explanation:
6n=9246n=924 nn
Write the problem as a mathematical expression.
6n=9246n=924 nn
Cancel the common factor of 99 and 2424.
Factor 33 out of 99.
6n=3(3)246n=3(3)24
Cancel the common
Factor 33 out of 2424.
6n=3⋅33⋅86n=3⋅33⋅8
Cancel the common factor.
6n=3⋅33⋅86n=3⋅33⋅8
Rewrite the expression.
6n=386n=38
Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
6⋅8=n⋅36⋅8=n⋅3
Solve the equation for nn.
Rewrite the equation as n⋅3=6⋅8n⋅3=6⋅8.
n⋅3=6⋅8n⋅3=6⋅8
Multiply 66 by 88.
n⋅3=48n⋅3=48
Divide each term by 33 and simplify.
Divide each term in n⋅3=48n⋅3=48 by 33.
n⋅33=483n⋅33=483
Cancel the common factor of 33.
Cancel the common factor.
n⋅33=48
5 1/4 - 2 5/7 = and fraction model
Answer:
The answer for this question is 71/28
b. Consider a large population of turtles in which 30% of the population are snapping turtles and 70% of the population are box turtles. What is the value of the diversity index D for the population
Answer: the value of the diversity index D for the population is 0.42
Step-by-step explanation:
Given that; population of the two species are
p1 = 30% = 0.3 (snapping turtle)
p2 = 70% = 0.7 ( box turtle)
so if two (2) organisms are picked, then they can be different from each other ( i.e Event E) under following two scenarios
E1 → First organism selected from p1 and second organism selected from p2
E2 → First organism selected from p2 and second organism selected from p1
which means we are observing the different orders in which the organisms can be picked.
So the probability of event E = the sum of probabilities of events E1 and E2.
which is;
D = P(E) = P(E1) + P(E2)
= P1×P2 + P2×P1
= 2P1P2
so we substitute
D = 2 × 0.3 × 0.7
D = 0.42
Therefore the value of the diversity index D for the population is 0.42
The number of pounds that can be safely loaded onto an elevator, X, can be represented by
the inequality x < 1,200. Which number line correctly represents this inequality?
Answer:
the third one
Step-by-step explanation:
The inequality says X is less than 1200, this means the arrow needs to be pointing to the left. Because X cannot equal 1200, the circle on 1200 should not be filled in. It is only filled in if it is included.
Answer:third one
Step-by-step explanation:
All the factors of 7 are also factors of 14. True or False?
Answer:
true
Step-by-step explanation:
What are the possible degrees for the polynomial function? Help
Answer:
It is option 2 "even degrees of 6 or greater
Step-by-step explanation:
Help! ILL GIVE 20 + POINTS!!
For each sentence, drag a word that will make the statement true.
Words may be used once or more than once.
sometimes always never
Equilateral triangles are
acute triangles.
Scalene triangles are
acute triangles.
Right triangles are
acute triangles.
Obtuse triangles are
isosceles triangles.
Answer:
Below
Step-by-step explanation:
Always
Sometimes
Never
Always
Answer:
always,sometimes,never,always
Step-by-step explanation:
Equilateral triangles are
always
acute triangles. Yes, because acute is always 60 degrees, and equilateral is basically your average triangle, so its corners have 60 degrees.
Scalene triangles are
sometimes
acute triangles. Scalene triangles always dont have that sharp corner..they sometimes do, the sharp turn which is 60 degrees, ACUTE IS ALWAYS 60 DEGREES.
Right triangles are
never
acute triangles. A right angle cant be a acute, not 60 degrees..
Obtuse triangles are
always
isosceles triangles. Isosceles means atleast 2 of the sides look the same, i included how to recognize obtuse, right,etc
Hello :)
Please help me solve this
Explain answer
Answer:
[tex]Scale\ Factor = \frac{1}{2}[/tex]
ABC dilated
Step-by-step explanation:
Given
Triangles ABC and DEF
Required
Determine the scale of dilation
First, we pick a side on ABC
[tex]AB = 6[/tex]
Pick a corresponding side on DEF
[tex]DE = 3[/tex]
The scale factor is then calculated as:
[tex]Scale\ Factor = \frac{DE}{AB}[/tex]
[tex]Scale\ Factor = \frac{1}{2}[/tex]
i.e. ABC was dilated by 1/2
area of a triangle is 14x^5 + 63x^2. If the base is 7x^2, write an expression to represent the height ( x^2 means x square)
Answer:
[tex]h=4x^3+18[/tex]
Step-by-step explanation:
Given that,
The area of a triangle, [tex]A=14x^5 + 63x^2[/tex]
Base, [tex]b=7x^2[/tex]
We need to find the height of the triangle.
The formula for the area of the triangle is given by :
[tex]A=\dfrac{1}{2}\times b\times h\\\\\text{h is height}\\\\h=\dfrac{2A}{b}\\\\h=\dfrac{2\times (14x^5 + 63x^2)}{7x^2}\\\\h=\dfrac{2\times 7x^2(2x^3 + 9)}{7x^2}\\\\h=2(2x^3+9)\\\\=4x^3+18[/tex]
So, the height of the triangle is [tex]4x^3+18[/tex].
Step 3: Apply Quantitative Tools
Use computational and algebraic tools to quantify the total costs (gas, maintenance/repairs, purchase price) for each scenario over the three years.
Round your answers to the nearest dollar.
Scenario
Total Cost for Three Years
Keep the old car
$
Number
Buy the fuel-efficient used car
$
Number
Step 4: Make an Informed Decision
Based on the information presented what do think Manny should decide?
Option #1: Keep the old car
Option #2: Buy the fuel-efficient used car
Option #
Number
Answer: Total old car is $2955.89, new car $1080.94 *for 3yrs
Step-by-step explanation:
Old= [(100/19)($2.36)(52)+$770]*3 = $2955.89
New=[(100/34)($2.36)(52)+20(12)]*3= $1080.94
I keep the old car # 1
Twins Isaac and Isaiah were just born. Isaac weighs 6666 pounds 2222 ounces and Isaiah weighs 5555 pounds 4444 ounces.
Step-by-step explanation:
Kindly make the question clearer for assistance
market price of a dress is 1500 rupees shop owner give a discount of 20% find the discount and the bill amount paid
Step-by-step explanation:
Marked price (mp) =rs 1500
discount (d) = 20%
discount amount = d% of mp
=20/100 *1500
= Rs. 300
bill amount paid = mp -d
= 1500 - 300
= Rs. 1200
Evaluate functions from their graph f(-5)=
Answer:
7
Step-by-step explanation:
(-5,7) lies in the graph!
How many solutions exist for the given equation?
x+12) = 4x-1
EEEE
O zero
O one
two
O infinitely many
Answer:
One answer exists for this equation.
Please answer this HELLLPPPP!!!!!
Answer:
x = 10
Step-by-step explanation:
Diagonals of a rhombus bisect each other at a 90° angle, but most importantly (for this problem), they bisect the opposite angles of the rhombus equally.
This means that the two angles, given by the expressions (6x + 12) and (8x - 8), are equal to each other.
Set them equal to each other in an equation and solve for x.
6x + 12 = 8x - 8Subtract 6x from both sides.
12 = 2x - 8Add 8 to both sides.
20 = 2xDivide both sides by 2.
x = 10The value of 10 for x will make the given parallelogram a rhombus.
illustrates whather the two ratios are equal or not using cross 3/27, 1/9
Answer:
They are equal
Step-by-step explanation:
Given
[tex]\frac{3}{27}\ and\ \frac{1}{9}[/tex]
Required
Determine if they are equal
We start by equating both:
[tex]\frac{3}{27} = \frac{1}{9}[/tex]
Cross Multiply
[tex]3 * 9 = 1 * 27[/tex]
[tex]27 = 27[/tex]
Because both sides of the equation are equal, then the ratios are equal
Ashley ran from home to school in 10 minutes. what has her average speed, if the distance between her house and her school is 1.5 miles?
Answer:
0.15 miles per minute
Step-by-step explanation:
Average speed is in distance over time, so you could write:
1.5 miles / 10 minutes
Now, simplify:
.15 miles per minute
(hope this helps :-D)
Answer:
.15 miles per minute
Step-by-step explanation:
pls answer i will mark brainlist to best (COME ON DOWN TO THIS HOME TOWN) :)
Answer:
24 divided by 6= 4
Step-by-step explanation:
U
solve the inequality
x + 0.7 > -0.3
Answer:
x=4.23606797,−0.2360679
Step-by-step explanation:
sorry if im wrong
Peaches are on sale at $0.95 per pound. Mrs. Hinkle bought 3.45 pounds of peaches. How much did she pay for the peaches?
Answer:
$3.2775
Step-by-step explanation:
0.95 x 3.45 = 3.2775
Answer:
$3.27
Step-by-step explanation:
1. If the original price of an item was 75 cents and the new price is 81 cents, 1 pc
what is the percent change? (MAKE SURE YOU TYPE % AT THE END OF
YOUR ANSWER) *
Your answer
Answer:
8%
Step-by-step explanation:
Original Price = 75 cents New Price = 81 cents, % increase = ?
% increase = 81 - 75/75 × 100%
% increase = 6/75 × 100%
% increase = 8% ( Ans)
What do you get when you cross an electric eel and a sponge puzzle time riddle
Answer:
A shock absorber?
Step-by-step explanation:
Evaluate the following expression.
1 -4 x (-3) + 8 x (-3)
Answer:
1-4×(-3)+8×(-3)
1-(-12)+(-24)
-13+(-24)
-37 or,-11
How do you further solve this?
Answer:
x = ±√89-30 cos(55) (everything is under the radical)
and then plug the radical into a calculator and you get two answers:
x1= -9.39873
x2=9.39873
Step-by-step explanation:
i hope this helped :)
Clare subscribes to an online music streaming service
for a yearly fee of $96. Starting next month, there will
be a 12% increase in the fee.
The ad for another music streaming service is shown
below. Should Clare switch? Explain.
Answer:
She should go with service 2 because it is, cheaper. Service 1 cost $107.52, but service 2 cost only $105.
Step-by-step explanation:
Cost now+increase$=new cost
(Part=percent*whole)
Increase=percent increase*cost now
i=12%*$96
i=0.12*96=$11.52
$96+11.52=107.52
Service two⬇️
8.72*12=$105
Yes Clare should switch to service 2 because; cheaper it costs only $105 which is lesser than $107.52
How to Calculate Yearly Fee?
To find the new cost, we will use the expression;
New Cost = Present Cost + increase
However,
Increase = percentage increase * present cost
Increase = 12% * $96
Increase = 0.12 * 96
Increase = $11.52
Thus;
New Cost = $96 + 11.52
New Cost = $107.52
For Service two;
We are told that digital streaming costs $8.75 per month. Thus;
Cost = 8.75 * 12
Cost = $105
Read more about Yearly fee at; https://brainly.com/question/25109150
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Write an equation of the line that passes through (−2,3) and (0,8).
Answer:
[tex]y = \frac{5}{2}x + 8[/tex]
Step-by-step explanation:
(-2 , 3 ) ; (0 , 8)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]= \frac{8-3}{0-[-2]}\\\\=\frac{5}{0+2}\\\\=\frac{5}{2}[/tex]
m = 5/2 ; (0 , 8)
Equation: y -y1 = m(x -x1)
[tex]y - 8 =\frac{5}{2}(x - 0)\\\\y - 8 =\frac{5}{2}x\\y = \frac{5}{2}x + 8[/tex]
Which inequality is graphed on the coordinate plane?
Answer:
Step-by-step explanation:
itd B
f(x) = x - 5; translation 7 units right
Answer:
f(x-7) = x -12
Step-by-step explanation:
horizontal translation 7 units right: f(x-7)
f(x) = x - 5
f(x-7) = x-7 -5 = x -12
