Answer:
initial value is 1200, rate of growth is 0.3
Step-by-step explanation:
A(t) = P(1+r)^t
p= initial value
r= rate of growth
A(t)= amount after
t= time
The initial value is 1200 and rate of growth is 0.3.
What is Exponential function?An exponential function is a mathematical function of the following form: f ( x ) = [tex]a^x[/tex] where x is a variable, and a is a constant called the base of the function. The most commonly encountered exponential-function base is the transcendental number e
Given:
Function: Y=1200 x [tex](1+0.3)^t[/tex]
Now, We know using the Amount formula
A(t) = P[tex](1+r)^t[/tex]
where, p= initial value
r= rate of growth
A(t)= amount after
t= time
Then, Comparing it to the given function we have
Initial Value = 1200
and, Rate of Growth = 0.3
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A simple random sample of size n=53 is obtained from a population with μ=53 and σ=7. Does the population need to be normally distributed for the sampling distribution of x to be approximately normally distributed? Why? What is the sampling distribution of x?
Answer:
No, because the Central Limit Theorem posits that regardless of the shape of the underlying population, the sampling distribution of bar x becomes approximately normal as the sample size (n) increases.
The sampling distribution of x is;
[tex]\mu_{\overline x} = \mu = 53[/tex]
Step-by-step explanation:
Given that:
The sample size n = 53
The population mean μ = 53
The standard deviation σ = 7
The sampling distribution of x is;
[tex]\mu_{\overline x} = \mu = 53[/tex]
Sampling distribution of the standard deviation is:
[tex]\sigma _x =\dfrac{\sigma}{\sqrt{n}}[/tex]
[tex]\sigma _x =\dfrac{7}{\sqrt{53}}[/tex]
[tex]\sigma _x =\dfrac{7}{7.28}[/tex]
[tex]\sigma _x =0.96[/tex]
Which of the following is an equivalent equation obtained by completing the square of the expression below? x^2+6x−8=0 A (x+3)^2=8 B (x+3)^2=17 C (x+3)^2=1 D x^2+6x+6=14
Answer:
Solving the equation [tex]x^2+6x-8=0[/tex] by completing the square method we get [tex]\mathbf{(x+3)^2=17}[/tex]
Option B is correct option.
Step-by-step explanation:
We need to solve the equation [tex]x^2+6x-8=0[/tex] by completing the square method.
For completing the square method: we need to follow: [tex]a^2+2ab+b^2=(a+b)^2[/tex]
We are given:
[tex]x^2+6x-8=0[/tex]
Solving by completing the square
[tex]x^2+2(x)(?)+(?)^2-8=0[/tex]
We need to find ? in our case ? is 3 because 2*3= 6 and our middle term is 6x i,e 2(x)(3)=6x.
So, adding and subtracting (3)^2
[tex]x^2+2(x)(3)+(3)^2-8-(3)^2=0\\(x+3)^2-8-9=0\\(x+3)^2-17=0\\(x+3)^2=17[/tex]
So, solving the equation [tex]x^2+6x-8=0[/tex] by completing the square method we get [tex]\mathbf{(x+3)^2=17}[/tex]
Option B is correct option.
Answer:b
Step-by-step explanation:
Determine the 10th term of the sequence 3, 6, 12,
Answer:
[tex]1536[/tex]
Step-by-step explanation:
In order to find the answer to this question you need to find the rule then apply that rule in till you find the 10th term of the sequence.
Rule = ×2
[tex]3\times2=6\times2=12\times2=24\times2=48\times2=96\times2=192\times2=384\times2=768\times2=1536[/tex]
[tex]=1536[/tex]
Hope this helps
*PLEASE HELP*
Write each product using the Distributive Property. Then simplify.
8(56)
13(16)
One day at school you make the observations that kids in 12th grade are taller than kids in 9th grade. What does this illustrate?
A. causation
B. correlation
C. relationships
D. coefficients
Answer: B correlation
Answer:
correlation
Step-by-step explanation:
Given a slope and a point write a perpendicular equation in standard form.
slope: -2/5
point: (-5,3)
The price of a television was reduced from $250 to $200. What was the percent of decrease?
Answer:
25&
Step-by-step explanation:
Answer:
20% should be the answer
In the diagram, L= N and
would be the Reason for Statement 4? Explain with
Stem
As
WONOM
AR
Answer:
Option (3)
Step-by-step explanation:
Statements Reasons
1). ∠L ≅ ∠N 1). Given
2). ∠LOM ≅ NMO 2). Given
3). MO ≅ MO 3). Reflexive property of congruence
4). ΔLMO ≅ ΔNOM 4). AAS postulate of congruence
Therefore, Option (3) will be the correct option.
if f(x)=5x, what is f^-1(x)?
what the heck, none of this makes sense to me
Answer:
45
Step-by-step explanation:
TRUE or FALSE: Billy is paid $32 for 8 hours of work. He gets peid $4 per hour
Answer:
True
Step-by-step explanation:
We know Billy is paid $32 for 8 hours of work.
All we have to do is divide 32 by 8 to see if whether he gets paid 4 dollars an hour,
32/8
==> 4
This is true
Louise puts 11.7 gallons of gas in her car for a total of $27. What did the gasoline cost per gallon?
Round your answer to the nearest cent.
Answer:
Rounding to the nearest cent, it cost $30 per gallon.
5) reflection across the x-axis
Answer:
t(2,-2),C(2,-5),z(5,-4),f(5,0)
Step-by-step explanation:
because it reflects across the x-axis the y changes to the opposite.
Liliana and Marcus are playing a word game. Liliana spells a word incorrectly and loses 18 points. Then Marcus
spells a word correctly and has the opposite score. Which is the correct way to represent the opposite of
Liliana's score is equal to Marcus's score"?
0 -18-18
O-(-18) --18
-(18) --18
-(-18) - 18
Answer:
D) -(-18)= -18
Explanation:
Did the quiz, and got it right
Answer:
D
Step-by-step explanation:
Luis drew a rectangle on his paper that was 112 cm by 16 cm. What is the area and the perimeter of the rectangle that Luis drew on his paper?
PLEASE HELP ME OUT!! THIS IS DUE TODAY!
Answer:
Area - 1,792 Perimeter-256
Step-by-step explanation:
Area
length x width 112 x 16 =1,792
Perimeter
length x2 width x2 then add answers together
112x2 +16x2 =256
A projectile is fired over horizontal ground from the origin with an initial speed of 60 m/s. What firing angles will produce a range of 300 m?
Answer:
[tex]54.75^\circ[/tex]
Step-by-step explanation:
Formula for horizontal distance or range is given as:
[tex]s=\dfrac{2v_i^2sin\theta cos\theta}{g}[/tex]
Where
[tex]v_i[/tex] is the initial velocity
[tex]\theta[/tex] is the angle with horizontal at which the projectile was thrown
[tex]g[/tex] is the acceleration due to gravity.
Given,
Initial velocity, [tex]v_i[/tex] = 60 m/s
Range, [tex]s[/tex] = 300 m
To find: [tex]\theta = ?[/tex]
Solution:
Using the formula as stated above:
[tex]300=\dfrac{2\times 60^2sin\theta cos\theta}{9.8}\\\Rightarrow 2sin\theta cos\theta =\dfrac{300\times 9.8}{3600}\\\Rightarrow sin2\theta =0.81666\\\Rightarrow \theta \approx \bold{54.75^\circ}[/tex]
Firing angle [tex]54.75^\circ[/tex] will produce a range of 300 m.
Complete the long division problem on your own sheet of paper. Then, fill in the digits.
Answer:
1864 R 2
Step-by-step explanation:
Work out
1/3 + 2/9
Give your answer in its simplest form
Step-by-step explanation:
1/3 + 2/9 = 3/9 + 2/9 = 5/9
Topic: Fractions
If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!
Answer:
5/9
Step-by-step explanation:
Help
Pls will mark brainliest!!!
CStep-by-step explanation:
2. How is a compound different from a molecule?
Answer: A compound is a substance that is made up of two or more elements that have a chemical bond with each other a molecule is the smallest part of a compound
PLEASE HELP!! Which graph represents the function y=sin(1/2x) after a shift of 3 units down?
The graph shows the function y=sin(1/2x) after a shift of 3 units down .
What is sin graph?The Sine Function has this beautiful up-down curve (which repeats every 2π radians, or 360°).
It starts at 0, heads up to 1 by π/2 radians (90°) and then heads down to −1.
According to the question
y=sin(1/2x) after a shift of 3 units down
i.e ,
y + 3 = sin [tex]\frac{x}{2}[/tex]
Now.
x y
0 -3
π -2
-π -4
Graph will be plotted on these points
Hence, the graph shows the function y=sin(1/2x) after a shift of 3 units down .
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Answer: graph A
Step-by-step explanation:
Edge2023
Mr. Wilkins delivers newspapers to several houses on Maple Street. He delivers 27 papers every day, Monday through Saturday, and 32 papers on Sunday. How many newspapers does Mr. Wilkins deliver to the homes on Maple Street in 4 weeks?
A.128 newspapers
B.236 newspapers
C.540 newspapers
D.776 newspapers
Answer: B.236 newspapers
Step-by-step explanation:
Given : Mr. Wilkins delivers 27 papers every day, Monday through Saturday, and 32 papers on Sunday.
i.e. Total newspaper deliver in a week = 27 +32 =59
Then, Total newspapers deliver in 4 weeks = 4 x (Total newspaper deliver in a week)
= 4 x 59
= 236
Hence, 236 newspapers deliver to the homes on Maple Street in 4 weeks.
Correct option is B.
Margie walked 3.75 miles on Tuesday morning. On Wednesday morning, she walked 1.2 times as far as she did on Tuesday. How far did she walk on Wednesday?
4 mi = ___ ft
answer please!!
Answer:
21120
Step-by-step explanation:
1 mile = 5280 feet
5280 feet * 4 = 21120
60x32 distribute 32 as 30+2 and solve, please! I really need help.
Answer:
1920
Step-by-step explanation:
First off, set 32 into standard form which is 30 + 2.
Secondly, multiply 30 x 60 and you get 1800
Thirdly, multiply 2 x 60 and you get 120
Lastly, add 1800 and 120 and you get 1920.
If you want it in a equation you can do 30 x 60 + 2 x 60 or (30+2) x 60.
-Cheers, Galaxy
After solving, this is written in the form of an equation which goes like this: 30 x 60 + 2 x 60 or (30+2) x 60.
What is an equation?Equations are mathematical expressions that have two algebra on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation. For an unknown quantity represented by an unknown variable, equations are then solved to determine its value. It is clear that a statement is not even an equation if there is no "equal to" sign in it.
Firstly, set 32 in standard form, that is :- 30 + 2.
Then, multiply 30 x 60 = 1800
Thirdly, multiply 2 x 60 = 120
Finally, add 1800 by 120 to get 1920.
You can accomplish it if you want it in an equation,
30 x 60 + 2 x 60 or (30+2) x 60.
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What number is 28.5% of 460?
Answer:
131.1
Step-by-step explanation:
Step 1: Our output value is 460.
Step 2: We represent the unknown value with $x$.
Step 3: From step 1 above,$460=100\%$.
Step 4: Similarly, $x=28.5\%$.
Step 5: This results in a pair of simple equations:
$460=100\%(1)$.
$x=28.5\%(2)$.
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
$\frac{460}{x}=\frac{100\%}{28.5\%}$
Step 7: Again, the reciprocal of both sides gives
$\frac{x}{460}=\frac{28.5}{100}$
$ x=131.1$
Meaning that 28.5 of 460 is 131.1
At an archeological site, the remains of two ancient step pyramids are congruent. If ABCD= EFGH find EF
Answer:
EF = 44 ft
Step-by-step explanation:
Given that ABCD is congruent to EFGH, it follows that their corresponding lengths and angles would be congruent to each other.
This means, for the sides:
AB = EF,
BC = FG,
CD = GH
AD = EH.
Therefore, if AB = 44 ft, corresponding side, EF = 44 ft
Answer:PLEASE CONTACT ME I NEED A QUIZ U HAD
Step-by-step explanation:
PLEASE HELP (GIVE STATEMENT AND REASON TOO)
Answer: twp is a isosceles because t-w and t-p are the same length
Step-by-step explanation:
NEED HELP PLZ!! 50 POINTS
Answer:
its only 25 i got you ill comment the answer
Step-by-step explanation:
Answer:
1. 4x²+2x-2
2. 7x+1
Step-by-step explanation: