A percentage is a way to describe a part of a whole. The percentage increase of Magikarps is 100%.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Jose began the day with eight Magikarps. After spending the day at the lake, he ended up with sixteen Magikarps. Therefore, The percentage increase of Magikarps is,
Percentage increase = (16-8)/8 × 100% = 100%
Hence, The percentage increase of Magikarps is 100%.
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3.
The sides of a rectangle are x cm and (x + 1) cm. A circle has radius of (x + 2) cm. If the
22
sum of the area of the rectangle and the circle is 184 cm². Using n as 22/7find the value of x.
Answer:
x = 5.00 cm
Step-by-step explanation:
• area of the rectangle = [tex]x[/tex] x [tex](x + 1)[/tex]
= [tex]x^2 + x[/tex]
• area of the circle = π r²
= [tex]\frac{22}{7}[/tex] x [tex](x + 2)^2[/tex]
= [tex]\frac{22}{7}[/tex] x [tex](x^2 + 4x + 4)[/tex]
∴ [tex]x^2 + x[/tex] + [tex]\frac{22}{7}[/tex] x [tex](x^2 + 4x + 4) = 184[/tex]
⇒ [tex]x^2 + x[/tex] + [tex]\frac{22}{7} x^2 \space\ + \space\ \frac{88}{7} x \space\ + \space\ \frac{88}{7} = 184[/tex]
⇒ [tex]\frac{29}{7}x^2 \space\ + \space\ \frac{95}{7}x \space\ - \frac{1200}{7} = 0[/tex]
• Using quadratic formula, where
a = [tex]\frac{29}{7}[/tex]
b = [tex]\frac{95}{7}[/tex]
c = [tex]\frac{-1200}{7}[/tex] ,
[tex]x=\frac{-b \pm \sqrt{b^2-4c}}{2}[/tex]
[tex]x = \frac{-\frac{95}{7}\pm \sqrt{(\frac{95}{7})^2 - 4(\frac{29}{7})(\frac{-1200}{7} ) } }{2(\frac{29}{7})}[/tex]
[tex]x = 5.00 \space\ \space\ \space\ or \space\ \space\ \space\ x = -8.28[/tex]
As length (x) cannot be a negative number,
x = 5.00 cm
Sketch the graph of y = x^2+2x-15 using your graphing calculator. What are the x-intercepts of this graph?
The intercept is 3 and 5
What is intercept?The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.
To find x- intercept, y=0
x² + 2x -15=0
x² -5x + 3x -15=0
x(x-5) - 3(x-5) = 0
(x-5)(x-3)=0
Hence, the x- intercept is 3 and 5.
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pe-intercept Equatic
Question 4 of 10
If f(x) = 5x - 12, what is f(2)?
Answer:
f(2) = 2
Step-by-step explanation:
Given function:
f(x) = 5x - 12
To Find:
f(2)
Solution:
Well,it is absolutely clear from the problem,that x = 2.So just substitute 2 in x's place on the function,then simplify using PEMDAS.
[tex]f(x) = 5x - 12[/tex]
[tex]f(2) = 5(2)- 12[/tex]
[tex]f(2) = 10 - 12[/tex]
[tex]\boxed{f(2) = - 2}[/tex]
Hence,f(2) is equal to -2.
In a 19 sided polygon what is the sum of the exterior angles ??
Answer:
the sum of all exterior angle is 360 degree
consider an investment of $6000 that earns 4.5% interest.
How long would it take for the investment
to reach $15,000 if the interest is
compounded monthly? Round your
answer to the nearest tenth.
Answer:
20.4 years (nearest tenth)
Step-by-step explanation:
Compound Interest Formula
[tex]\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}[/tex]
where:
A = final amountP = principal amountr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsedGiven:
A = $15,000P = $6,000r = 4.5% = 0.045n = 12 (monthly)Substitute the given values into the formula and solve for t:
[tex]\implies \sf 15000=6000\left(1+\frac{0.045}{12}\right)^{12t}[/tex]
[tex]\implies \sf \dfrac{15000}{6000}=\left(1.00375\right)^{12t}[/tex]
[tex]\implies \sf 2.5=\left(1.00375\right)^{12t}[/tex]
[tex]\implies \sf \ln (2.5)=\ln \left(1.00375\right)^{12t}[/tex]
[tex]\implies \sf \ln (2.5)=12t \ln \left(1.00375\right)[/tex]
[tex]\implies \sf t=\dfrac{\ln (2.5)}{12 \ln (1.00375)}[/tex]
[tex]\implies \sf t=20.40017123[/tex]
Therefore, it would take 20.4 years (nearest tenth) for the investment to reach $15,000.
A farmer’s rectangular pen has an area of 2,700 square feet, and the width is 15 feet shorter than the length. Find the dimensions of the pen.
The length of the rectangle is 60 feet and the width of the rectangle is 45 feet.
What is the area of the rectangle?Let L be the length and W be the width of the rectangle.
Then the area of the rectangle will be
Area of the rectangle = L×W square units
A farmer’s rectangular pen has an area of 2,700 square feet, and the width is 15 feet shorter than the length.
L = W + 15
Then we have
2700 = W(W + 15)
W² + 15W - 2700 = 0
W² + 60W - 45W - 2700 = 0
(W + 60)(W - 45) = 0
W = 45, -60
Then the dimension of the rectangle will be
W = 45 feet
L = W + 15
L = 45 + 15
L = 60 feet
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Jacob and his sister, jenny, share the job of cutting the grass in their yard. jacob cuts 2 of the yard, and jenny cuts the rest can cut 3/4 of an an entire tard of an hour
Answer:
okay
Step-by-step
no of yards they cut in an hour
Jacob = 2 yard
jenny 3/4 of a yard
no of yards it will take jenny to cut 3 yards = 4 hours
Find the variance of the given
data rounded to the nearest
hundredth.
3, 4, 5, 7, 10, 12, 15
Σ (x - mean)²
n
0²
0²
=
=
[?]
Enter
Answer:
17.14
Step-by-step explanation:
You have the data values {3, 4, 5, 7, 10, 12, 15}
To find the mean, [tex]\frac{3+4+5+7+10+12+15}{7} =8[/tex], yay a whole number, my favorite.
Then, [tex](3-8)^2+(4-8)^2+(5-8)^2+(7-8)^2+(10-8)^2+(12-8)^2+(15-8)^2=120[/tex].
Since n=7, σ^2≈[tex]17.14[/tex]
Simplify the exponential expression 48 ^1/2
O 2 (24^1/2)
O 3 (16^1/2)
O 4 (3^1/2)
O 16 (3^1/2)
Step-by-step explanation:
Hi There! Let me help you :)
To answer this question, we have to know about the way to simplify it. First, you find the factor of 48.
[tex] = {48}^{ \frac{1}{2} } [/tex]
[tex] = {(16 \times 3)}^{ \frac{1}{2} } [/tex]
[tex] = {16}^{ \frac{1}{2} } \times {3}^{ \frac{1}{2} } [/tex]
[tex] \: [/tex]
—Use the general formula of the exponential, where a^m/n = ^n√a^m.
[tex] \: [/tex]
[tex] = {16}^{ \frac{1}{2} } \times {3}^{ \frac{1}{2} } [/tex]
[tex] = \sqrt[2]{16} \times {3}^{ \frac{1}{2} } [/tex]
[tex] = 4 \times {3}^{ \frac{1}{2} } [/tex]
The answer is C.
What is the measure of angle AFR?
O 124 degrees
O 91 degrees
O 13 degrees
O 117 degrees
Answer:
13°Step-by-step explanation:
AFR = VFN (opposite angle rule)
7x + 33 = 9x + 7
33 - 7 = 9x - 7x
26 = 2x
x = 26 : 2
x = 13°
-----------------
check
7 * 13 + 33 = 9 * 13 + 7 (remember PEMDAS)
91 + 33 = 117 + 7
124 = 124
the answer is good
which greek geometer founded a philosophical society that devoted itself to study of mathematics
Answer:
Pythagoras was the Greek geometer .
Please mark me as the brainliest.
(a^3b^4/a^2b)^6=a^xb^y
Answer:x = 6 , y = 18
Step-by-step explanation:
What is the sum of the polynomials?
(6x+7+x²)+(2x²-3)
1. -x² +6x+4
2. 3x²+6x+4
3. 9x + 4
4. gx²+4
Answer:
6x+4+3x²Step-by-step explanation:
Given polynomials:
(6x+7+x²)+(2x²-3)
Solution:
(6x+7+x²)+(2x²-3)Removing brackets,
6x+7+x²+2x²-3Collecting like terms,
6x+7-3+x²+2x²Simplifying ,
6x+4+3x²Done!
Hence option 3 is correct.
What is quadratic equation?The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form: ax² + bx + c = 0.
The given expression is;
(6x+7+x²)+(2x²-3)
Now add the like term in the given expression,
⇒ x² + 2x² + 6x + 7 - 3
⇒ 3x² + 6x + 4
Hence,
The sum of polynomial is 3x² + 6x + 4.
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A TV's regular price is $349. It is on
clearance for 30% off, and a customer uses
a 15% off coupon after that. What is the
final cost of the TV before sales tax?
Answer:
rounded is $207.66
Step-by-step explanation:
you start by doing 349(0.30) which would be 104.7
349-104.7=244.3
next you do 244.3(.15)=36.645
244.3-36.645= $207.655
2. On the snow day, 8 kids from the neighbor-
hood gathered to build snowmen. The kids
used two buttons as the eyes on each snowman.
7 more kids joined to make snowmen and used
buttons for the eyes, too. How many buttons
were used to make the snowmen?
Answer: 30 buttons
Step-by-step explanation:
If there were 8 kids, and 7 more joined, then there were 15 kids making snowmen (8+7 = 15). Each child used 2 buttons for the eyes, so 30 buttons were used (15 x2 = 30). This is assuming no other buttons were used on the snowmen for anything else
simplify algebraic equation x^2-4/x^2+2x
Answer:
Simplification of algebric expression is [tex]\frac{x^{2} - 2x^{3}-4 }{x^{2} }[/tex]
Step-by-step explanation:
Simplify any algebric expression means to write an equivalent expression in which all similar terms combined and remove all symbols such as brackets.
The given algebraic equation is [tex]x^{2} -\frac{4}{x^{2} } +2x[/tex]
now for simplifying it
First of all take L.C.M of [tex]x^{2}[/tex]
= [tex]\frac{x^{2} (x^{2}) -4 + 2x(x^{2} )}{x^{2} }[/tex]
We get [tex]\frac{x^{2} -4+2x^{3}}{x^{2} }[/tex]
Further we can write it as [tex]\frac{x^{2} - 2x^{3}-4 }{x^{2} }[/tex]
Simplification of algebric expression is [tex]\frac{x^{2} - 2x^{3}-4 }{x^{2} }[/tex]
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In the Fig., if ABCD is a parallelogram, then the value of x is
Answer:
Value of x is 20.
Step-by-step explanation:
The angle opposite to 4x is also 4x.
Similarly, the angle opposite to 5x is also 5x.
So, 4x+4x+5x+5x=360
18x=360
x=360/18
x=20
Please give me brainlist.
4 kg 2 dag when converted in g gives you?
Answer:
4020 grams
Step-by-step explanation:
4kg=4000g
2 dag= 20g
Total: 4000g + 20g = 4020g
Answer:
4020 grams
Step-by-step explanation:
1 kg = 1000 g
1 dag = 10 g
4 x1000= 4000
2 x 10 = 20
4000 + 20
Get a similar question You can retry this question below
One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the
third angle is 35 degrees more than that of the smallest angle. Find the measure of the LARGEST angle.
Find the Largest angle:
Sum of triangle angles = 180
smallest angle = x
second angle = 3x
third angle = x +35
180 = x + 3x + x + 35
145 = 5x
x = 29 is the smallest
the second is 87
the third is 64
a fence is 2m high by 33m long, if a gallon of paint is enough to paint 2.5m^2, how many gallons will be used to paint the entire fence?
The number of gallons of paint needed to paint the entire fence is 26.4 gallons.
Area of rectangleLength = 33 mWidth = 2 mArea = length × width
= 33 m × 2 m
= 66 square meter.
A gallon of paint = 2.5 m²Number of gallons of paint needed = 66 square meter / 2.5 m²
= 26.4 gallons
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Two-thirds of the tokens in the box are red and 2/5 of the remaining tokens are blue.
If the remaining 24 tokens are green, how many tokens are there in the box?
Answer:
After solving this question I got and 120 tokens
If x is 300 percent of 25 and y is 25 percent more than
40, the x is what percent of y?
al 50%
c) 66.5%
b) 75%
d) 150%
Anyone here to help me!!!
Answer:
d) 150%
Step-by-step explanation:
[tex]x=25*300\%=25*3=75\\[/tex]
[tex]y=25\%*40+40=50[/tex]
[tex]x/y*100\%=75\div50*100\%=150\%[/tex]
Answer:d
150%
Step-by-step explanation:
Wilma is 5 times as old as yvonne. in ten years, yvonne's age will be a third of wilma's age. how old are they now?
Using a system of equations, it is found that Wilma is 50 years old and Yvonne is 10 years old.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are given as follows:
Variable x: Wilma's age.Variable y: Yvonne's age.Wilma is 5 times as old as yvonne, hence:
x = 5y.
In ten years, yvonne's age will be a third of wilma's age, hence:
[tex]y + 10 = \frac{1}{3}(x + 10)[/tex]
Since x = 5y:
[tex]y + 10 = \frac{1}{3}(x + 10)[/tex]
[tex]y + 10 = \frac{1}{3}(5y + 10)[/tex]
3y + 30 = 5y + 10
2y = 20.
y = 10.
Then:
x = 5y = 5 x 10 = 50.
Wilma is 50 years old and Yvonne is 10 years old.
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evaluate this equation
The correct answer is option B which is Sn = -111974.
What is geometric expansion?When there is a constant between the two successive numbers in the series then it is called a geometric series.
Here we have the following data:-
[tex]\sum_{n=1}^7-2.6^{n-1}[/tex]
[tex]a_n = a_1r^{n-1}\ \ \ \ \ S_n = a_1(\dfrac{1-r^n}{1-r})[/tex]
Here we need to calculate the first term second term and common ratio to calculate the sum of the series.
a₁ = -2.(6¹⁻¹) = -2
a₂ = -2.( 6²⁻¹) = -2 (6) =-12
Common ratio:-
[tex]a_n = a_1r^{n-1}[/tex]
[tex]-12 = -2r^{2-1}[/tex]
r = 6
Put all the values in the sum formula:-
[tex]S_n = -2(\dfrac{1-6^7}{1-6})[/tex]
[tex]S_n = -2(\dfrac{279935}{5})=-2\times 55987[/tex]
[tex]S_n[/tex] = -111974
Therefore the correct answer is option B which is Sn = -111974.
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the tabel shows the time merrida spent driving and the number of miles she drove she drove the same number of miles each other
Answer:
35 miles/hour
Step-by-step explanation:
See attached image.
8.
36.2
22.3
- 30-
33
Find the value of x.
(Round answer to the nearest tenth when necessary)
44.6
33.2
Answer:
36.2
Step-by-step explanation:
Assuming that the dotted line is a perpendicular bisector, we can say that it splits the side that is 30 units long into 2 sets of 15 units. Then, we can use the pythaogrean theorem to solve (Leg A is 33 and Leg B: 15). a^2+b^2=c^2
33^2+15^2=c^2
1089+225=c^2
1314=c^2
Square root of 1314 = square root of c^2
36.2 aapproximately c
What are “like terms”? Why can we only add like terms?
13.)What is the closure property? What does it have to do with adding, subtracting, and multiplying polynomials?
Answer:
Like terms are mathematical terms that contain the same variables. We combine like terms, because it simplifies algebraic expressions.
Closure property is the term for when you add or multiply two whole numbers together, and the result is always just a whole number. It is related to adding, subtracting, and multiplying polynomials, because when something is closed, the output will result in being the same type of object as the inputs.
Step-by-step explanation:
Like terms: When combining like terms, we add their coefficients. For instance, if we have 3y and 4y, we get 7y. That is because we added (3+4) to get 7, and plugged in the variable "y".
Closure property: Adding, subtracting, or multiplying two polynomials will output a polynomial.
If function g has the factors (x − 7) and (x 6), what are the zeros of function g?
Which choice is equivalent to the fraction below when x is an appropriate
value? Hint: Rationalize the denominator and simplify.
2
2-√6x
A.
2+√6x
2-6x
B. 2+√6x
4-3x
C. 2+√6x
2-3x
D. 2+√6x
4-6x
A fraction is a way to describe a part of a whole. The correct option is C.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
The choice that is equivalent to the fraction can be found by rationalizing the denominator of the fraction. Therefore, we can write,
[tex]\dfrac{2}{2-\sqrt{6x}}\\\\\\=\dfrac{2}{2-\sqrt{6x}} \times \dfrac{2+\sqrt{6x}}{2+\sqrt{6x}}\\\\\\= \dfrac{4+2\sqrt{6x}}{4-6x}\\\\\\=\dfrac{2(2+\sqrt{6x})}{2(2-3x)}\\\\\\= \dfrac{2+\sqrt{6x}}{2-3x}[/tex]
Hence, the correct option is C.
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what is the equation of a line that has a slope of -5 and a y intercept of -7
Answer:
y=(-5x)+(-7)
Step-by-step explanation:
The equation for slope is y=mx+b
so you would say -5x as the mx in the equation and -7 as the u intercept.
Hii!
_________________________________________________________
[tex]\rightsquigarrow\circ\boldsymbol{Answer}\circ\leftharpoonup[/tex]
y=-5x-7
[tex]\rightsquigarrow\circ\boldsymbol{Explanation}\circ\leftharpoonup[/tex]
For this question we will use the slope intercept form equation, because we are provided with the slope and the y-intercept.
The slope intercept form equation is [tex]\large\textsf{y=mx+c}[/tex]. In this formula m denotes the slope and c denotes the y-intercept.
Since we have both m and b, we can stick them into the formula. Upon doing this we obtain
[tex]\twoheadrightarrow\sf y=-5x+(-7)[/tex]
[tex]\bullet[/tex] Simplify
[tex]\twoheadrightarrow\sf y=-5x-7[/tex]
[tex]\bullet[/tex] Great job! We found the equation
--
Hope that this helped! Best wishes.
[tex]\textsl{Reach far. Aim high. Dream big.}\\\boldsymbol{-Greetings!-}[/tex]
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