Answer:
Step-by-step explanation:
This is a sideways cubic translated down 2 units. The graph shown is the sideways cubic translated up 2. So locate the graph that looks like this but has its "squiggly part" at -2 instead of 2.
Write a compound interest function to model the following situation. Then, find the balance after the
given number of years.
$13,700 invested at a rate of 2% compounded quarterly; 6 years
Answer:
The balance after the 6 years of investment will be $ 15,442.08.
Step-by-step explanation:
Given that $ 13,700 was invested at a rate of 2% compounded quarterly during 6 years, to determine the final result of the investment, the following calculation must be performed:
13,700 x (1 + 0.02 / 4) ^ 4x6 = X
13,700 x (1 + 0.005) ^ 24 = X
13,700 x 1,005 ^ 24 = X
13,700 x 1.1271 = X
15,442.08 = X
Therefore, the balance after the 6 years of investment will be $ 15,442.08.
HELP ASAP 10 POINTS AND BRAINLIEST
Answer:
135
Step-by-step explanation:
The area is given by
A = bh where b is the base and h is the height
A = 9* 15
A =135
Answer:
[tex]135 \: {units}^{2} [/tex]
Step-by-step explanation:
[tex]area = b \times h \\ = 9 \times 15 \\ = 135 \: {units}^{2} [/tex]
Please help due incredibly soon!!!!
Answer:
The surface area is 116.
Step-by-step explanation:
9m(4m – 3n) – (5m – n)2
A 11m2
– 17 mn – n2
B 11m2
– 37 mn + n2
C 34m2
– 17 mn – n2
D 34m2
– 37 mn + n2
Answer:
[tex]36m {}^{2} - 27mn - 10m + 2n[/tex]
Step-by-step explanation:
Use distributive law.
Work with one bracket at a time.
Watch out for the signs!
In MQN, m
a.
Solve for x. Show all work.
b. Find the measure of <1. Show all work.
Answer:
were is the problem
Step-by-step explanation:
does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?
Given equation of the Circle is ,
[tex]\sf\implies x^2 + y^2 = 25 [/tex]
And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,
[tex]\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2[/tex]
Here we can say that ,
• Radius = 5 units
• Centre = (0,0)
Finding distance between the two points :-
[tex]\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }[/tex]
Here we can see that the distance of point from centre is less than the radius.
Hence the point lies within the circle.
Answer:
Inside
Step-by-step explanation:
Check the picture below
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match the systems of equations to their solutions.
Answer:
Step-by-step explanation:
1). 2x + y = 12 -----(1)
x = 9 - 2y -------(2)
By substituting the value of x from equation (2) to equation (1)
2(9 - 2y) + y = 12
18 - 4y + y = 12
18 - 3y = 12
3y = 18 - 12
y = 2
By substituting the value of x in equation (2)
x = 9 - 2(2)
x = 9 - 4
x = 5
2). x + 2y = 9 ------(1)
2x + 4y = 20
x + 2y = 10 -------(2)
Since, both the equations are the parallel equations,
Therefore, No solutions will be the answer.
3). x + 3y = 16 -------(1)
2x - y = 11 ---------(2)
Multiply equation (2) by 3 the add to equation (1)
6x - 3y + (x + 3y) = 16 + 33
7x = 49
x = 7
From equation (1),
7 + 3y = 16
3y = 9
y = 3
4). y = 11 - 2x -------(1)
4x - 3y = -13 -------(2)
By substituting the value of y from equation (1) to (2),
4x - 3(11 - 2x) = -13
4x - 33 + 6x = -13
10x = 33 - 13
10x = 20
x = 2
From equation (1)
y = 11 - 2(2)
y = 7
5). y = 10 + x -------(1)
-3x + 3y = 30
-x + y = 10
y = 10 + x ------(2)
Equations (1) and (2) are same.
Therefore, Infinite solutions will be the answer.
6). 2x + y = 11 --------(1)
x - 2y = -7 ---------(2)
Multiply equation (1) by 2 then add to equation (2)
4x + 2y + (x - 2y) = 22 - 7
5x = 15
x = 3
From equation (2)
3 - 2y = -7
2y = 3 + 7
y = 5
The graph of F(X) shown below resembles the graph of G(x)-, but it has
been changed somewhat. Which of the following could be the equation of
F(x)?
F(x) = 2
G(X) = 1x1
5
-5
The function F(x) would be F(x) = 0.2x² - 3.
What is Function?A mathematical phrase, rule, or legislation that establishes the link between an independent variable and a dependant variable (the dependent variable).
We are given a graph of the function G(x) as:
G(x) = x²
We are required to determine a potential representation of the function F (x).
We are aware that the function F(x) graph is a horizontal extension of the function G(x).
This indicates that "k" is the factor that is multiplied by G(x).
where 0< k <1.
The graph is also 3 units vertically down, which causes the graph.
So, the graph is shifted 3 units vertically down hence the graph of the resulting function F(x) is:
F(x) = 0.2x² - 3
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I NEED HELP PLEASE!
Juanita and Lauren are painting a
circular mural on one wall of the
community center. The area of the
mural is 66 square meters.
what is the radius?
remember,a=pie r^2,use pie=22/7
Answer:
4.583 meters
Step-by-step explanation:
Divide 66 by pi
=21.01910828
I rounded to 21
Find the square root of 21
4.58257569...
I rounded again, to 3 decimal places
4.583
Hope it helps!
Answer:
√21 aka square root of 21
Step-by-step explanation:
The person above pretty much explained it lol
CAN SOMEONE PLEASE HELP ME!!
Answer:
29.8
Step-by-step explanation:
a^2+b^2=c^2
a^2+7^2=11^2
a = h = 8.5
A= 1/2*b*h
A= 1/2*8.5*7
A=29.8
Decide if the following scenario involves a permutation or combination. Then find the number of possibilities.
The batting order for nine players on a team with 11 people.
Given:
The batting order for nine players on a team with 11 people.
To find:
The number of possibilities for the given scenario.
Solution:
First, we need to select 9 players from 11 people, it involves combination, i.e. [tex]^{11}C_9[/tex].
Second, we need to arrange the order of 9 selected players, it involves permutation, i.e., [tex]^9P_9[/tex].
The number of possibilities for the given scenario is:
[tex]\text{Possibilities}=^{11}C_9\times ^9P_9[/tex]
[tex]\text{Possibilities}=\dfrac{11!}{(11-9)!9!}\times \dfrac{9!}{(9-9)!}[/tex]
[tex]\text{Possibilities}=\dfrac{11\times 10\times 9!}{2!9!}\times \dfrac{9!}{0!}[/tex]
[tex]\text{Possibilities}=\dfrac{110}{2\times 1}\times \dfrac{9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times 1}{1}[/tex]
[tex]\text{Possibilities}=55\times 362880[/tex]
[tex]\text{Possibilities}=19958400[/tex]
Therefore, the following scenario involves both permutation and combination, and the number of possibilities is 19958400.
What should the follow equations is equivalent to 6.87p+9.2=-7.056
Answer:
P=-2.3662299854
Step-by-step explanation:
6.87p = - 7.056 -9.2
So 6.87p= - 16.256
P=-2.3662299854
pls help w this
√2x+1 = 4
In the equation above, what is the value of 2x +1?
A) 3/2
B) 2
C) 4
D) 16
Answer:
[tex]\boxed {\boxed {\sf D. \ 16}}[/tex]
Step-by-step explanation:
We are given the following equation and asked to solve for 2x+1.
[tex]\sqrt {2x+1}=4[/tex]
We want to isolate the entire expression of 2x+1. Notice that it is under the square root. If we want to isolate it, we have to perform the inverse operation. The inverse of a square root is a square, so we square both sides of the equation.
[tex](\sqrt{2x+1} )^2= (4)^2[/tex]
[tex]2x+1=(4)^2[/tex]
[tex]2x+1=16[/tex]
We could continue solving for x, then plug the answer back into the expression 2x+1. However, hopefully you notice that we already found the answer!
We only had to do one step to find the answer, but you could complete many other steps to get the same answer:
[tex]2x+1-1=16-1\\2x=15\\2x/2=15/2\\x= 7.5[/tex] (Solve for x)
[tex]2x+1\\2(7.5)+1\\15+1\\16[/tex] (Plug the answer in for x)
The value of 2x+1 is 16 and the correct answer is 16.
solve 2x+3y=11, 2x-4y=-24 ny cross multiplication method
PLZ ANSWER ILL GIVE BRAINLIEST
Answer:
B. neither perpendicular nor parallel
Step-by-step explanation:
to be perpendicular, the slopes have to be complete opposites. in this case, the second term would have to be y=-0.5x to be perpendicular. to be parallel, the two would have to have the same slopes; so y=2x and y=2x
Identify the coefficient, variable, and exponent of the monomial: 4y3
Answer:
The variable is y since it is a letter and is meant to hold value
The coefficient is 4 since in this equation 4 is multiplied by y
The exponent is 3 since it is after the variable
Hope This Helps!!!
Answer:
The coefficient is 4
The base and variable is y
The exponent is 3
Step-by-step explanation:
4y^3
The coefficient is 4
The base and variable is y
The exponent is 3
15 years from now Renu will be four times her present age. What is Renu's present age?
Answer:
5 years
Step-by-step explanation:
(x+15)=4x
15=4x-x
15=3x
5=x
1. The diagram shows a semicircle OABC. If the arc AB has length 3.2 cm, calculate (a) the length of the radius, (b) the length of the arc BC. r 0.8 rad С o r A
Step-by-step explanation:
— If the arc AB has length 3.2 cm, calculate (a) the length of the radius, (b) ... the length of the radius, (b) the length of the arc BC. r 0.8 rad С o r A .
Factorize
a⁴-3a²b²+b⁴
(a⁴-3a²b²+b⁴)/(a²-ab-b²)
Let me know if there is something wrong to my answer ^_^
Answer:
hope it will helpfulll to youuu
In triangle XYZ. the measurements of angle X and angle Y are 45° Which is the longest side of the triangle
Answer:
the side XY
Step-by-step explanation:
we know 2 angles in a triangle. but are 45 degrees.
that means the third angle Z is 180-45-45 = 90 degrees.
the side opposite of the largest angle is the longest side.
opposite of Z is the side XY.
8.a. Simplify: 10a+46-(3a+2b)
10a+46-(3a+2b)
= 10a + 46 - 3a - 2b
= 7a - 2b + 46
How many cubes with side 2cm are needed to make a cube with side 6cm
Answer:
27 cubesStep-by-step explanation:
Cube with side 2 has volume:
2³ = 8Cube with side 6 has volume:
6³ = 2³*3³ = 8*27Number of cubes:
8*27/8 = 27PLEASE HELP!!! WILL GIVE BRAINLIEST!!!
Answer:
Step-by-step explanation:
Marco is incorrect because a function is a relation for which each input has a different output. An example of a function is y=2x each input x has a different output y.
Given : AB = BC and BC = CD, AB = 3x - 1 and CD = 2x + 3 Prove: BC = 11 plz help me
Answer:
Given
Given
Transitive
Substitution
Subtraction
Addition
Substitution
Multiplication
Hard to see list of options. But this should help.
Given
Given
Transitive
substitution property of equality
Subtraction property of equality
Addition property of equality
multiplication property of equality
Simplify
simplify
What is substitution?Substitution means putting numbers in place of letters to calculate the value of an expression.
What is transitive property?The transitive property states that “if two quantities are equal to the third quantity, then we can say that all the quantities are equal to each other”
What is addition and subtraction property of equality?The addition and subtraction property of equality states that if we add or subtract the same number to both sides of an equation, the sides remain equal.
What is multiplication property of equality?The multiplication property of equality states that when we multiply both sides of an equation by the same number, the two sides remain equal.
According to the given question.
AB = BC and BC = CD ( Given)
AB = 3x - 1 and CD = 2x + 3 ( Given)
Since,
AB = BC and BC = CD
⇒ AB = CD (transitive)
Substitute the value of AB and CD in AB = CD
⇒ [tex]3x - 1 = 2x + 3[/tex] (substitution property of equality)
⇒ [tex]x -1= 3[/tex] (subtraction property of equality)
⇒ [tex]x = 4[/tex] (Addition property of equality)
Since,
AB = BC
⇒ AB= 3x -1
⇒ [tex]AB = 3(4) - 1[/tex] ( multiplication property of equality)
⇒ [tex]AB = 11[/tex] (simplify)
Therefore,
BC = 11 (simplify)
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After the increase the price of a rail season ticket from brighton to london was 2828.80 work out the price before this increase
Answer:
2720
Step-by-step explanation:
Given that,
Price of the ticket = 2828.80
To find,
The price before the increase = ?
Procedure:
Let the price before the increase be x
so,
x(100% + 4%) = 2828.80
⇒ 1.04x = 2828.80
⇒ x = 2828.80 ÷ 1.04
∵ x = 2720
Thus, the price before the increase was 2720.
plz do this i will mark you
Photo isn't clear.
And which number
The width of a DVD case is the same as the width of a
DVD. If the DVD case is a square with an area of 144 square
centimeters, what is the width of the DVD?
Answer:
12m
Step-by-step explanation:
Given that the area of the square DVD case is 144 square cm
Since Area = L²
144 =L²
L = √144
L = 12m
Since the width of the DVD and its case are the same, hence the with of the DVD is also 12m
7x-3=5x+9 solve for x
Given :-
7x - 3 = 5x + 9To Find :-
The value of x.Solution :-
Taking the given equation ,
=> 7x -3 = 5x + 9
=> 7x - 5x = 9 + 3
=> 2x = 12
=> x = 12 ÷ 2
=> x = 6
Hence the required answer is 2 .
The following system of equations represents the total distance a flight from point A to point B flies based on its initial, I, and return, R, journey speeds, as well as the total time in the air for the round trip. Determine the amount of time each leg of the journey takes.
120I+200R=2000
I+R=15
10 hours, 5 hours
12 hours, 20 hours
12.5 hours, 2.5 hours
No Solution
Answer:
ewan ask mo kay ma'am para alam mo po
Five students are lined up in a row. How
many arrangements could be made if
the position of the last boy remains
unchanged?
(WAEC)
Step-by-step explanation:
16 arrangement can be done
The 24 arrangements could be made if the position of the last boy remains unchanged.
Arrangement
Arrangement is a plans or preparations for a future event.
How to solve this problem?The steps are as follow:
Given, Five students are lined up in a rowWe have make the arrangment such that last boy should remain unchangedTo find how many arrangements are possible in a set of objects, use the formula below, where x is the number of objects.x! , where,! is factorial
x! is equal to x*(x-1)*(x-2)*(x-3)*…(x-(x-1))
In this case we have to take x equal to 4 because last boy to remain unchanged∴ 4*3*2*1 = 24 arrangments
Therefore total 24 arrangements could be made if the position of the last boy remains unchanged.
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