Answer:
G5 = -1
S6 = -63/16
Step-by-step explanation:
The formula for finding the nth term of a GP is Tn = ar^n-1
a is the first term
r is the common ratio
n is the number of terms
If the 4th term is -1/2
T4 = ar^4-1
T4 = ar³ = -1/2.... 1
If the 7th term is -4
T7 = ar^7-1
T7 = ar^6 = -4.... 2
Divide both equation
ar^6/ar³ = -4/(-1/2)
r³ = -4×-2
r³ = 8
r = 2
Common ratio is 2
Since ar³ = -1/2
a(2)³ = -1/2
8a = -1/2
a = -1/16
The first term is -1/16
Get the fifth term G5
G5 = ar⁴
G5 = (-1/16)(2)⁴
G5 = (-1/16)(16)
G5 = -1
Get the sum of the first six terms S6
S6 = a(r^n-1)/r-1
S6 = -1/16(2^6-1)/2-1
S6 = -1/16(64-1)
S6 = -63/16
Hence the sum of the first six terms is -63/16
Write the equation of the line.
the perimeter of square ground is 122
i) find its length
ii)find its area
iii)find the Cost of growing grasses I n don't the ground at rs 40 per sq.m.
Answer:
i. 30.5m
ii. 930.25m²
iii. Rs. 37,218
Step-by-step explanation:
Perimeter of a square = 4 * Length
i. Length = Perimeter/4
= 122/4
= 30.5 m
ii. Area = Length * Height
= 30.5 * 30.5
= 930.25 m²
iii. Cost of growing grasses at Rs. 40 per m²
= 930.25 * 40
= Rs. 37,218
PLSSSS HELP ME I HAVE TRIED SOLVING THIS SOOO MANY TIMES
MY ANSWER:
-32 (Wrong)
Find the value of the polynomial: 7x^2y−2xy^2−6x^2y+3xy^2−xy+8 for x=−2, y=4
Step-by-step explanation:
7x^(2y) - 2xy² - 6x^(2y) + 3xy² - xy + 8
= x^(2y) + xy² - xy + 8.
When x = -2 and y = 4, we have:
(-2)^(8) + (-2)(4²) - (-2)(4) + 8
= 256 - 32 + 8 + 8
= 240.
There is ambiguity between x^(2y) and x²y written in your question.
Answer:
The answer is 0.
Step-by-step explanation:
x = -2 , y = 4
7(-2)²(4) - 2(-2)(4)² - 6(-2)²(4) + 3(-2)(4)² - (-2)(4) + 8
112 + 64 - 96 - 96 + 8 + 8
176 - 192 + 16 = 0
What fraction divided by 3/6 is equal to -9/10?
Answer:
9/18
3/6 is the same as 9/18.
Step-by-step explanation:
4x+3y=32
4x+y=16
work out x and y pleaseeeeeee
Answer:
The answer is xy=16-4 and xy=12
PLEASE HELP THANK YOU :)
Answer:
the first option
If the t ratio for the slope of a simple linear regression equation is equal to 3.614 with a p-value of 0.006, then the slope is
Answer:
Then the slope is Significantly different from zero at both the 5% level and the 1% level.
Step-by-step explanation:
In statistics for a value to be said to be significant, this value has to be less than p value at the selected level of significance.
Here,
P value = 0.006
5% significance level = 0.05
0.006 < 0.05, so the slope value is significant at 5% significance level.
1% significance =0.001
0.006 is less than 0.01 so the slope coefficient is also significant at 1% significance level
ce What is the distance between (-4,-10) and (-4, -4)? o 3 units 04 units 06 units 08 units
Answer:
06 units
Step-by-step explanation:
Can someone help with these two PLZ.
Answer:
5. 76
6. 24
Step-by-step explanation:
5.
x + x = 152
2x = 152
x = 76
6.
2x + 3x = 120
5x = 120
x = 24
6x+12 factorizar mediante a factor comun
Fido's leash is tied to a stake at the center of his yard, which is in the shape of a regular hexagon. His leash is exactly long enough to reach the midpoint of each side of his yard. If the fraction of the area of Fido's yard that he is able to reach while on his leash is expressed in simplest radical form as [(sqrt{a})/b] * pi, what is the value of the product ab?
Answer:
a = 3
b = 6
The product ab = 3 x 6 = 18
Step-by-step explanation:
Data Given:
Fraction of the area of Fido's yard = [tex]\pi x \frac{\sqrt{a} }{b}[/tex]
Let X be the side of the hexagon.
So, the area of the Hexagon is:
Area of the Hexagon = [tex]\frac{3\sqrt{3} }{2} X^{2}[/tex]
Now, we have to calculate the length of Fido's Leash by using Lw of Sine
Law of Sine = [tex]\frac{a}{sinA}[/tex] = [tex]\frac{b}{sinB}[/tex] = [tex]\frac{c}{sinC}[/tex]
[tex]\frac{0.5S}{sin30}[/tex] = [tex]\frac{Length}{sin60}[/tex]
Solving for Length, where sin30 = 1/2 and sin60 = [tex]\frac{\sqrt{3} }{2}[/tex]
Suppose Length = Y
Y = [tex]\frac{\sqrt{3} }{2}[/tex]X
Now, as we have got the length we can calculate the area that Fido can cover,
So, the area covered by Fido = [tex]\pi[/tex] x [tex]Y^{2}[/tex]
Area = [tex]\pi[/tex] x [tex](\frac{\sqrt{3} }{2}X) ^{2}[/tex]
Area = [tex]\pi[/tex] x [tex]\frac{3}{4}[/tex] x [tex]X^{2}[/tex]
So, now, we can get the fraction of the area of Fido's Yard by dividing the area of hexagon by area that fido can cover.
Fraction of the area of Fido's yard = [tex]\pi x \frac{\sqrt{a} }{b}[/tex]
[tex]\pi[/tex] x [tex]\frac{3}{4}[/tex] x [tex]X^{2}[/tex] / [tex]\frac{3\sqrt{3} }{2} X^{2}[/tex]
[tex]\pi[/tex] x [tex]\frac{3}{4}[/tex] / [tex]\frac{3\sqrt{3} }{2}[/tex]
6 [tex]\pi[/tex] / [tex]12\sqrt{3}[/tex]
[tex]\pi[/tex] / [tex]2\sqrt{3}[/tex]
Which can be rewritten as by multiplying and dividing by [tex]\sqrt{3}[/tex]
[tex]\sqrt{3} \pi[/tex]/ 6
By comparing the above equation and the given equation we can find a and b :
So,
a = 3
b = 6
And the product ab = 3 x 6 = 18
This recipe makes 6 portions of chocolate mousse.
Cali has 600 g chocolate, 36 eggs, 100 ml of lemon juice and 200 g of sugar.
Cali makes 18 portions of mousse by following this recipe.
How much of each ingredient will she have left?
Recipe: Serves 6
180 g chocolate
9 eggs
15 ml lemon juice
60 g sugar
Answer:
Chocolate - 420g
Eggs - 27
Lemon juice - 85ml
Sugar - 140g
Step-by-step explanation:
Given that:
Initial amount of ingredients:
Chocolate - 600g
Eggs - 36
Lemon juice - 100ml
Sugar - 200g
Amount of ingredients used :
Chocolate - 180g
Eggs - 9
Lemon juice - 15ml
Sugar - 60g
Amount of ingredient left :
Initial amount - Amount used :
Chocolate : 600g - 180g = 420g
Eggs : 36 - 9 = 27
Lemon juice : 100ml - 15ml = 85ml
Sugar : 200g - 60g = 140g
petra claims that he can use the associative property of multiplaction to rewrite(9.5 x 9) + 1 as 9.5 x 10. is petra correct explain
Answer:
No Petra is wrong
Step-by-step explanation:
The associative property of multiplication goes thus :
(x * y) * z = x * (y * z)
The equation give in the question :
(9.5 x 9) + 1 = 9.5 * 10
The associative property cannot be used to rewrite the equation as claimed above.
Because, the equation includes both multiplication and addition functions. Hence, it has to be solved separately following tbe rule of BODMAS., THE sign preceeding 9 in the equation is multiplication and as such not mathematically correct to add such number to +1
To ascertain :
(9.5 x 9) + 1 = 86.5
9.5 * 10) = 95
Hence,
(9.5 x 9) + 1 ≠ 9.5 * 10
Choose the rule to describe the transformation:
T(2, 3), U(5, 4), V(2, 0)
to
T '(-1, 2), U '(2, 3), V '(-1, -1)
a. dilation of .25 about the origin
b. translation: (x, y)LaTeX: \longrightarrow⟶(x - 3, y)
c. reflection across the y-axis
d. translation: (x, y)LaTeX: \longrightarrow⟶(x - 3, y - 1)
The initial points: T(2 , 3) U(5, 4) V(2, 0)
The transformed points: T'(-1, 2) U'(2,3) V'(-1, -1)
Identifying the Transformation rule:Since all these points will follow the same rule, we will take a pair of initial and transformed points and compare them
T(2, 3) → T'(-1, 2)
We can see that these points are not reflected across the y-axis
Checking if they have a dilation of 0.25 about the origin:
Dilation of 0.25 about the origin basically means if the Initial x and y coordinates are multiplied by 0.25 to form the transformed points
So, if the points have a dilation of 0.25:
x (initial) * 0.25 = x(final)
2*0.25 = -1
0.5 ≠ -1
Hence, there is no dilution of 0.25
Checking if the given points are translated:
To check this, we will take 2 pairs of initial and transformed points
T(2,3) → T'(-1,2)
U(5,4) → U'(2,3)
To check if there is transformation, we need to check if the difference between the x and y coordinates of initial and transformed points is equal
Change in coordinates of T:
x-coordinates:
x(final) - x(initial) = x(change)
x(change) = -1 - (2)
x(change) = -3
y-coordinates:
y(change) = y(final) - y(initial)
y(change) = 2 - (3)
y(change) = -1
Change in coordinates of U:
x-coordinates:
x(change) = x(final) - x(initial)
x(change) = 2 - 5
x(change) = -3
y-coordinates:
y(change) = y(final) - y(initial)
y(change) = 3 - 4
y(change) = -1
Since there is the same change in x and y coordinates of the initial and transformed points, we know that Translation took place
Since the change in x is -3 and the change in y is -1, the translation will look like:
(x-3 , y-1)
Which is also option d.
Hence, option d is the correct answer
A lender estimates the closing costs on a home loan will be 3% of the loan amount of $180,000. The actual closing costs are listed below.
Closing Cost
Charge
Loan origination
$345
Title insurance
$600
Attorney's fees
$1,350
Appraisal
$480
Inspection
$550
Recording fees
$175
Escrow
$1,900
Evaluate the lender's good faith estimate.
a.
The lender made an excellent estimate; it was equal to the actual closing costs.
b.
The lender made a very good estimate; it was within 0.25% of the actual closing costs.
c.
The lender made a fairly good estimate; it was between 0.25% and 0.5% of the actual closing costs.
d.
The lender made a poor estimate; it was higher than 0.5% of the actual closing costs.
An evaluation of the lender's good faith estimate shows a. The lender made an excellent estimate; it was equal to the actual closing costs.
Data and Calculations:
Estimated rate of closing costs of loan = 3% of loan amount
Loan amount = $180,000
Estimated closing costs = $5,400 ($180,000 x 3%)
Actual closing costs incurred:
Loan origination $345
Title insurance $600
Attorney's fees $1,350
Appraisal $480
Inspection $550
Recording fees $175
Escrow $1,900
Total actual costs $5,400
Actual costs in percentage = 3% ($5,400/$180,000 x 100)Thus, the lender made an excellent estimation. It equals the actual closing costs.
Learn more: https://brainly.com/question/21448382
Answer:
maybe I'm wrong but I think is A.
Step-by-step explanation:
Simplify the expression:
2 + 8c + 3c+ 3c
Answer:
Solutions,Here:
2+ 8c + 3c + 3c
2+ 14c
14c + 2
Therefore, Answer is 14c + 2
I think that is the answer...
PLZ HELP ILL GOVE YOU BRAINLIEST
Damian is deciding between two different movie streaming sites to subscribe to. Plan
A costs $33 per month plus $3 per movie watched. Plan B costs $37 per month plus
$2 per movie watched. Let A represent the monthly cost of Plan A if Damian watches
x per month, and let B represent the monthly cost of Plan B if Damian watches x
movies per month. Write an equation for each situation, in terms of x, and determine
the number of monthly movies watched, x, that would make the two plans have an
equal monthly cost.
Using linear functions, it is found that:
The equation for Plan A is: [tex]C_a(x) = 33 + 3x[/tex]The equation for Plan B is: [tex]C_b(x) = 37 + 2x[/tex]The monthly plans would have an equal cost when 4 movies are watched.A linear function for a cost depending on the number of movies x is given by:
[tex]C(x) = C(0) + ax[/tex]
In which:
C(0) is the fixed cost.a is the cost per movie.For Plan A, $33 per month plus $3 per movie watched, hence [tex]C(0) = 33, a = 3[/tex], and the equation is:
[tex]C_a(x) = 33 + 3x[/tex]
For Plan B, $37 per month plus $2 per movie watched, hence [tex]C(0) = 37, a = 2[/tex], and the equation is:
[tex]C_b(x) = 37 + 2x[/tex]
The monthly cost is equal when:
[tex]C_a(x) = C_b(x)[/tex]
[tex]33 + 3x = 37 + 2x[/tex]
[tex]x = 4[/tex]
The monthly plans would have an equal cost when 4 movies are watched.
A similar problem is given at https://brainly.com/question/16302622
Please help!! Please!!
Answer:x=B and y=D
Step-by-step explanation:plz leave a like
What is the slope of the following line: y=3x−7
Answer:
The slope is 3
Step-by-step explanation:
Mr. Bobby plans to spend no more than $200 on pizza and soda for a party. Each pack of soda costs $5.00 and each pizza costs $8.00. Which inequality could Mr. Bobby use to determine how many packs of soda, s, and how many pizzas, p, he can buy?
I need it asap, pls try to include Step-by-Step if possible :)
Answer:
You can buy 12 pizzas and 20 sodas with a small sum left over.
Step-by-step explanation:
f(x) = x2 What is g(x)=f(3x)
Select the correct answer.
Shania is making a scale diagram of the badminton court at the community center. She uses a scale of 1 centimeter to 0.5 meter to draw the scale diagram. If the scale length of the badminton court is 26.8 centimeters and the scale width is 12.2 centimeters, what is the actual area of the court?
A.
1,307.84 square meters
B.
326.96 square meters
C.
81.74 square meters
D.
78 square meters
My soda was $3.10 but I left a 10% tip. What did I end up paying for?
Answer:
You left them a 0.31 cent tip and you payed all together $3.41
Step-by-step explanation:
HELP FAST! PLEASE
What is the Domain and range?????
Domain: [tex]x \ge 0[/tex]
Domain in interval notation: [0, infinity)
This is because the domain is the set of all allowed x inputs. In this case, x = 0 is the smallest and we include this endpoint. Any x value x = 0 or larger is part of the domain (since the graph stretches' on forever to the right)
--------------------------------------------------------------------
Range: [tex]y \ge 2[/tex]
Range in interval notation: [2, infinity)
For similar reasoning as the domain, but now we consider the possible y output values. Here y = 2 is the smallest and we include it. Note the square bracket for interval notation means "include this endpoint". The curved parenthesis means "exclude this endpoint"
Use the following rules to graph and label the ordered pairs on a coordinate grid with at least 4 points on the coordinate
plane:
Maddy and Ted worked together to graph points on a coordinate plane.
1. Maddy wrote a pattern for all the x coordinates starting at 3 and followed the rule "add 2.".
2. Ted wrote a pattern for all the y coordinates starting at O and followed the rule "add 4."
Answer:
3
Step-by-step explanation:
Why did our Founding Fathers make the Articles of Confederation so weak?
A.They were afraid of having another monarchy/king
B.They wanted a strong executive branch of government
C.They wanted a strong court system
D.They want states to have no power
Answer:
A. They were afraid of having another monarchy/king.
Step-by-step explanation:
This is because they were already under a rule of a cruel king from Britain and the whole reason they were creating this document was because they rebelled from monarchy and wanted to create a better government.
Do you see the figures inside these boxes? They form a pattern. Choose the figure in the answer row below that continues the pattern.
Answer:
1
Step-by-step explanation:
The blocks are rotating counterclockwise.
The circumference of a circle is
9m
What is the area of the circle?
Answer:
Cai on kgpkvugcg7 vgu ygvhy6vgvh7
You want to obtain a sample to estimate how much parents spend on their kids birthday parties. Based on previous study, you believe the population standard deviation is approximately
σ
=
62.5
dollars. You would like to be 95% confident that your estimate is within 3 dollar(s) of average spending on the birthday parties. How many parents do you have to sample?
Answer:
The number of parents spend their kids birthday parties
'n' = 1667
Step-by-step explanation:
Explanation:-
Given standard deviation of the Population = 62.5
Given the estimate error = 3 dollars
Level of significance =0.05
Z₀.₀₅ = 1.96
The margin of error defined by
[tex]M.E = \frac{Z_{0.05} S.D}{\sqrt{n} } \\3 = \frac{1.96 X 62.5}{\sqrt{n} }[/tex]
cross multiplication , we get
3√n = 1.96 X 62.5
√n = 40.833
Squaring on both sides, we get
n = 1667.34
The number of samples are 'n' = 1667
Jamie wants to run 2 3/4 miles today. He has already run 1 1/4 miles. How much farther must he run to reach his goal?
Answer:
0 miles
Step-by-step explanation:
Just subtract 11/4 from 2 3/4
2 3/4 - 11/4 = 0
So, he doesn't need to run any more