Answer:
918
Step-by-step explanation:
Given data
Initila population= 85
Rate = 12%
TIme= 21 years
Let us apply the compounding expression
A=P(1+r)^t
substitute
A= 85(1+0.12)^21
A=85(1.12)^21
A=85*10.80
A= 918
Hence the approximate Rabbit population will be 918
What is the value of the expression of 1.623/100
Step-by-step explanation:
1.623/100
=1.623×10^-2
or
=0.01623
Hope it helps
The value of 3° is
its from the chapter exponenets
Answer:
1
Step-by-step explanation:
=>. the value of 3° = 1
=> it is known to us that any number to the
power zero is equals to 1
hope it helps
Anna makes a quilt by sewing together green, white, and yellow fabric. When she finishes, 2/6 of the quilt is green, and 3/6 is yellow. The rest is white. What fraction of the quilt is white? Show your work.
Answer:fraction of the quilt is white = 1/6
Step-by-step explanation:
Let the total quilt be = 1 ( since we are dealing with fraction)
The portion of quilt that is green 2/6
The portion of quilt that is yellow 3/6
The portion that is white = Total quilt −( portion of quilt that is green and yellow)
=1−( 2/6 + 3/6 )
=1 −5/6
=1/6
Solve the equation -25p – 2 = 48 for p.
A. -2
B. 1
C. 3
D. 8
Answer:
A. -2
Step-by-step explanation:
-25p - 2 = 48
First, add 2 to both sides
That gives you
-25p = 50
Then, divide both sides by -25. Then that leaves the answer.. p = -2
Evaluate -4x^2 + 2x - 6 when x = -2.
Answer:
-26
Step-by-step explanation:
-4(-2)^2 + 2(-2) - 6
-4(4) + -4 - 6
-16 -10
-26
The value of equation [tex]-4x^{2}+2x-6[/tex] is -26 when x = -2
What is equation?"An equation is a statement of equality between two expressions consisting of variables and/or numbers."
Substitute the value x = -2 in the given equation
[tex]=-4(-2)^{2}+2(-2)-6 \\=-4(4)-4-6\\=-16-4-6\\=-16-10\\=-26[/tex]
Hence, the value of the given equation is -26
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pleaseee help meeee i need help
Answer:
[tex] \boxed{ \boxed{{x}^{2n- 1} . {y}^{2n - 1} }}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:law of exponentPEMDAStips and formulas:[tex] \frac{ {x}^{m} }{ {x}^{n} } < = > {x}^{m - n} [/tex]let's solve:[tex] \sf use \: the \: formula : \\ \tt \frac{ {x}^{2n + 4}. {y}^{4n} }{ {x}^{5} . {y}^{2n + 1} } \\ \tt {x}^{2n + 4 - 5} . {y}^{4n - 2x - 1} [/tex][tex] \sf simplify \: subtraction : \\ \tt {x}^{2n- 1} . {y}^{2n - 1} [/tex]The value of Kensington's car decreases in value according to the exponential decay
function V
Pe-0.12t , where Vis the current value of the vehicle, t is the
number of years Kensington has owned the car and P is the purchase price of the car,
$20,000. To the nearest dollar, what will be the value of Kensington's car in 8 years?
PLS HELP DUE AT MIDNIGHT
Answer:
m<BDC = 60 degrees
Step-by-step explanation:
m<EBD is 120, m<EBC = 180 (it's a straight angle) so m<DBC = 180-120= 60 degrees.
All angles in a triangle add up to 180. 60+60+x=180. 180-120=x=60.
Simplify the expression. 9.6r - 6.3r =
3.0 r is the answer
Step-by-step explanation: I help ;)
1.
Find the value of x in the parallelogram below.
*
65
Enter each line of work as an equation.
Answer:
x+65=180(being cointerior angle)
x=180-65
x=115
if b = -3, what is the value of b³?
Answer:
-27
Step-by-step explanation:
b³=(-3)³
b³=(-3×-3×-3)
b³=-27
Calculate the geometric mean of 12 and 20
Answer:
The Geometric mean of two numbers is the square root of their product.
Given numbers are 12,20.
Geometric mean = √(12*20)
= √240.
= 15.49.
= 15.5.
The geometric mean of 12 and 20 is 4√15.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 3 + 3x + 4y = 7 is an expression.
We have,
The geometric mean of a and b is √(ab).
Now,
a = 12 and b = 20
so,
The geometric mean of 12 and 20.
= √(12 x 20)
= √240
= 4√15
Thus,
The geometric mean of 12 and 20 is 4√15.
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y2 + x3 + 7 for y = 2, x = 1 algebraic example ano po solve dito medyo nakakalito po
Answer:
Substitute y and x
(2)2 + (1)3+7
then multiply 2 * 2
4+ (1)3+7
then multiply 1* 3
4+ 3+7
add those numbers
14 ang iyong sagot, tandaan kapag nakikita ang panaklong tulad ng nakikita mo dito nangangahulugang dumami
Solve 56 > -7x
Thank you!
Answer:
-8 > x
Step-by-step explanation:
56 divided by -7 = -8
-8 > x
make sure to double check before turning it in!
The straight line y = 3x +2 intersects the curve y = 2x^2 + 7x-11 at two points. Find the coordinates of these two points Give your answers correct to 2 decimal places.
Given:
The equation are
[tex]y=3x+2[/tex]
[tex]y=2x^2+7x-11[/tex]
To find:
The coordinates of intersection points.
Solution:
We have,
[tex]y=3x+2[/tex] ...(i)
[tex]y=2x^2+7x-11[/tex] ...(ii)
From (i) and (ii), we get
[tex]3x+2=2x^2+7x-11[/tex]
[tex]0=2x^2+7x-11-3x-2[/tex]
[tex]0=2x^2+4x-13[/tex]
If a quadratic equation is [tex]ax^2+bx+c=0[/tex], then by quadratic formula:
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
In the equation [tex]0=2x^2+4x-13[/tex], we have [tex]a=2,b=4,c=-13[/tex].
Using quadratic formula, we get
[tex]x=\dfrac{-4\pm \sqrt{4^2-4(2)(-13)}}{2(2)}[/tex]
[tex]x=\dfrac{-4\pm \sqrt{16+104}}{4}[/tex]
[tex]x=\dfrac{-4\pm \sqrt{120}}{4}[/tex]
Now,
[tex]x=\dfrac{-4+\sqrt{120}}{4}[/tex] and [tex]x=\dfrac{-4-\sqrt{120}}{4}[/tex]
[tex]x=1.7386[/tex] and [tex]x=-3.7386[/tex]
[tex]x\approx 1.74[/tex] and [tex]x\approx -3.74[/tex]
Putting x=1.74 in (i), we get
[tex]y=3(1.74)+2[/tex]
[tex]y=5.22+2[/tex]
[tex]y=7.22[/tex]
Putting x=-3.74 in (i), we get
[tex]y=3(-3.74)+2[/tex]
[tex]y=-11.22+2[/tex]
[tex]y=-9.22[/tex]
Therefore, the coordinates of the intersection points are (1.74, 7.22) and (-3.74,-9.22).
2+5.67890654321678-5432
Help please its geometry
Answer:
b
Step-by-step explanation:
Opposite angles are equal in a parallelogram. Therefore 2 angles are 112°. Angles in a parallelogram or any quadrilateral are equal to 360°. To find the remaining sides: 360-(112×2) and divide your answer by 2.
Amy is dressing a mannequin for a store window to show off a
new line of men's clothing. Amy can choose from 4 different T-
shirts and 2 styles of jeans. How many different ways can Amy
dress the mannequin?
Answer:
8
Step-by-step explanation:
4 different shirts would be 4 combinations. You can have one of each of the jeans on the mannequin, giving 4x2=8.
Answer:
8
Step-by-step explanation:
Find the simple interest paid on a loan of $4,750 at a rate of 19.5% for 30 months.
Answer:
Monthly Payment $201.31
Total Interest Paid $1,289.26
Total Paid $6,039.26
Step-by-step explanation:
The square root of 5 , has a decimal expansion that does not end or repeat. To which set of numbers does it belong?
A. rational
B. Natural
C. Integer
D. Irrational
Answer:
Irrational numbers is correct.
The required square root of 5 is an irrational number.
Given that,
The square root of 5, has a decimal expansion that does not end or repeat. To which set of numbers does it belong is to be determined.
In mathematics, a rational number is a number that can be described as the result of a fraction of value or does not have face value.
What are irrational numbers?An irrational number is a type of real number which cannot be represented as a simple fraction or the values that have face value are irrational numbers. Example: √2, √3, and π are all irrational.
Here,
√5 = 2.2360679775..
Which is an irrational number.
Thus, the required square root of 5 is an irrational number.
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Rewrite using a single positive exponent.
8
.8
-3
the owner of a food cart sells an average or 120 frozen treats per day during the summer
Answer:
uhhh ok
Step-by-step explanation:
14. A system of equations is shown below. For what value of a will this system have no solutions? Justify your answer.
y = 4x-9
y = ax+6
Answer:
a = 4
Step-by-step explanation:
a = 4
If a = 4, then both lines have the same slope and different y-intercepts. That makes both lines parallel. Since the lines never intersect, there is no solution.
Answer:
x can not equal zero, as it would cause division by zero.
Step-by-step explanation:
First, let's make one equation out of them and see what we get. Because both of them have y on the left, we can say that the two right sides are equal, giving us:
4x - 9 = ax + 6
If we solve for a, we get:
ax + 6 = 4x - 9
ax = 4x - 15
a = 4 - 15 / x
With that arrangement we can see clearly that x can not be equal to zero, as it would give us division by zero.
plz help find perimeter and area
sos please help how to do this
Answer:
±√7
Step-by-step explanation:
[tex]3 {x}^{2} + 7 = 28 \\ 3 {x}^{2} = 21 \\ {x}^{2} = 7 \\ x = \sqrt{7} [/tex]
Please help me find the value of x in the rectangle ABCD
Answer:
x = 52
Step-by-step explanation:
Hello there!
All of the angles in a rectangle are right angles
if a right angle has a measure of 90 degrees then we can find x by subtracting the given angle from 90
90 - 38 = 52 so we can conclude that x= 52
Step-by-step explanation:
Each angle in a quadrilateral is 90⁰ therefore 38⁰+x=90⁰
hence x=90⁰-38⁰ which gives you 52⁰
According to the diagram below, which similarity statements are true?
Check all that apply.
P
S
R
A. APQR - APRS
B. APQR ~ APSQ
O C. APQR ~ AQSR
D. APQS ~ AQRS
The required triangle PQS and triangle QRS are similar triangles. Option D is correct.
What are Similar triangles?Similar triangles are those triangles that have similar properties,i.e. angles and proportionality of sides.
According to the diagram,
It can be inferred that triangle PQS and triangle QRS are similar to each other. The term "similar" implies that these two triangles have the same shape but can be different in size. Specifically, the corresponding angles of these triangles are equal, and the corresponding sides are in proportion.
Consider triangle, PQS, and triangle QRS
Angle S is the common angle in both the triangles
And angle Q is similar to angle R
So both the triangle are similar by AA similarity postulate
Therefore, option D is correct.
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2 24-5what is 24 - 2x wanted to 24 - 5 exponent
Answer:
24-5:x2
Step-by-step explanation:
im not sure
mark brainliest if it helps
How would you solve this?
Answer:
The equation has three solutions:
x= [tex]\frac{1}{2} + \frac{1}{2} log_{2} (3)[/tex]
x=1
x = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
||[tex]4^{x} - 3[/tex]|[tex]-2[/tex]| = 1
|[tex]4^{x} - 3[/tex]|[tex]-2[/tex] = 1 |[tex]4^{x} - 3[/tex]|[tex]-2[/tex] = - 1
|[tex]4^{x} - 3[/tex]| = 1+2 |[tex]4^{x} - 3[/tex]| = -1+2
|[tex]4^{x} - 3[/tex]|=3 |[tex]4^{x} - 3[/tex]| = 1
[tex]4^{x} - 3[/tex] =3 [tex]4^{x} - 3[/tex] = - 3 [tex]4^{x} - 3[/tex] = 1 [tex]4^{x} - 3[/tex] = - 1
x= [tex]\frac{1}{2} + \frac{1}{2} log_{2} (3)[/tex] x∉∅ x=1 [tex]x = \frac{1}{2}[/tex]
The union of these four solutions is: [tex]\frac{1}{2} , 1,[/tex] [tex]\frac{1}{2} + \frac{1}{2} log_{2} (3)[/tex]
I hope this is clearly and understandably written to you :)
For all values of x,
f(x) = 2x - 3
and
g(x) = x2 + 1
a) Find fg(x).
Simplify and give your answer in the form ax2 + b
b) Find gf(x).
Simplify and give your answer in the form ax2 + bx + c
I DONT NEED THE ANSWER TO A, I JUST NEED B
Answer:
The composition g(f(x)) is:
[tex]g(f(x))=4x^{2}-12x+10[/tex]
Step-by-step explanation:
b) g(f(x)) is a function composition.
So we will have:
[tex]g(f(x))=(f(x))^{2}+1[/tex]
[tex]g(f(x))=(2x-3)^{2}+1[/tex]
[tex]g(f(x))=4x^{2}-12x+9+1[/tex]
[tex]g(f(x))=4x^{2}-12x+10[/tex]
Here:
a is 4
b is -12
c is 10
I hope it helps you!