Answer:
0.10551754386
Step-by-step explanation:
Exponential function f(x) passes through the points (3,6) and (7,18) determine the value of F(20)To the nearest integer
Answer:
A generic exponential function can be written as:
f(x) = A*e^(b*x)
Where A and b are real numbers, that we need to find.
We know that the points (3, 6) and (7, 18) are solutions to the equation, then we have that:
A*e^(b*3) = 6
A*e^(b*7) = 18
This is a system of equations, to solve this we can take the quotient between the two equations, so we remove the variable A.
(A*e^(b*7))/(A*e^(b*3)) = 18/6
e^(b*7)/e^(b*3) = 3
e^(b*7 - b*3) = 3
e^(4*b) = 3
Now we can apply the Ln(x) to both sides, because:
Ln(e^y) = y
then:
Ln(e^(4*b)) = Ln(3)
4*b = Ln(3)
b = Ln(3)/4
Then we have:
f(x) = A*e^(Ln(3)/4*x)
And we can use one of the equations to find the value of A. for example:
6 = A*e^(Ln(3)/4*3)
6/e^(Ln(3)/4*3) = 2.632
Then the exponential function is:
f(x) = 2.632*e^(Ln(3)/4*x)
Then we have that:
f(20) = 2.632*e^(Ln(3)/4*20) = 639.576
Rounding to the next integer, we have:
f(20) = 640
An exponential function can represent growth or decay.
The value of f(20) is 673
An exponential function is represented as:
[tex]y = ab^x[/tex]
At point (3,6), we have:
[tex]6 = ab^3[/tex]
At point (7,18), we have:
[tex]18 = ab^7[/tex]
Divide both equations
[tex]\frac{18}{6}= \frac{ab^7}{ab^3}[/tex]
[tex]3= b^4[/tex]
Take 4th roots of both sides
[tex]\sqrt[4]{3}= b[/tex]
Rewrite as:
[tex]b = \sqrt[4]{3}[/tex]
[tex]b = 1.32[/tex]
Substitute 1.32 for b in [tex]6 = ab^3[/tex]
[tex]a(1.32)^3 = 6[/tex]
[tex]2.30a = 6[/tex]
Divide both sides by 2.3
[tex]a = 2.61[/tex]
So, the function is:
[tex]y =2.61(1.32)^x[/tex]
When x = 20, we have:
[tex]y =2.61(1.32)^{20[/tex]
[tex]y =673[/tex]
Rewrite as:
[tex]f(20)=673[/tex]
Hence, the value of f(20) is 673
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Ms.Clark goes to the store and purchased a 26 lb turkey for $38.74 and two bags of potatoes. Her bill was $50.24. How much was each bag of potatoes? Write and solves the equations.
Answer:
$5.75
Step-by-step explanation:
50.24 - 38.74 is 11.5
Then, to find how much each potato bag is you need to divide by 2.
11.5 divided by 2 is 5.75.
Each bag of potatoes was 5.75$
Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test. Upper H 0: pequals0.6 versus Upper H 1: pgreater than0.6 nequals200; xequals135, alphaequals0.05 Is np 0 (1 minus p 0 )greater than or equals10.
Use technology to find the P-Value.
Answer:
Step-by-step explanation:
From the given information:
The null and the alternative hypothesis can be well written as:
[tex]H_o:P=0.6[/tex]
[tex]H_1:P>0.6[/tex]
Given that:
n = 200
x = 135
Alpha ∝ = 0.05 level of significance
Then;
⇒ [tex]n \times p\times (1-P)[/tex]
= 200 × 0.6 × (1 -0.6)
= 200 × 0.6 × 0.4
= 48 ≥ 10
The sample proportion [tex]\hat P = \dfrac{x}{n}[/tex]
[tex]= \dfrac{135}{200}[/tex]
= 0.675
The test statistics [tex]Z = \dfrac{\hat P - P}{\sqrt{ \dfrac{P(1-P)}{n} }}[/tex]
[tex]Z = \dfrac{0.675 - 0.6}{\sqrt{ \dfrac{0.6 \times 0.4}{200} }}[/tex]
[tex]Z = \dfrac{0.075}{\sqrt{ \dfrac{0.24}{200} }}[/tex]
Z = 2.165
The P-value = P(Z > 2.165)
= 1 - P(Z < 2.165)
From the z tables
= 1 - 0.9848
= 0.0152
Reject the null hypothesis since P-Value is lesser than alpha. ( i.e. 0.0152 < 0.05).
Thus, there is enough evidence to conclude that the value of the population proportion is greater than 0.6
I need number 10 if you can get 11 then could you help me with that too?
If it is correct I will give a Branliest!!!
Answer:
10. 3 musicians
11. a) 10 feet
b) can't read all of it
Step-by-step explanation:
Answer:
#10 should be 3
Step-by-step explanation:
what is 4/7 ( 7/8 + 2/3 ) - 3/4 ?
help me factor x^2 + 9
x 2 + 9 has no (Real) factors (Unlike x 2 − 9 )
Explanation:
The most you could do with this is use the quadratic formula on
XXXX x 2 + 0 ⋅ x + 9
to get
XXXX ± 3 i
So you could factor using Complex values:
XXXX x 2 + 9 = ( x + 3 i ) ( x − 3 i )
Match the following vocabulary words with the correct definition
Coefficient
DRAG & DROP THE ANSWER
Like Terms
Terms that have exactly the same amount of
variable factors
Constant
Equation
A value that makes an algebraic equation true
A term that only has numerical factors and no
variables
Solution
Two algebraic expressions that are equal
If a term has a variable, the numerical factor
before the variable
Answer:
Step-by-step explanation:
Coefficient: If a term has a variable, the numerical factor before the variable
Like Terms: A term that only has numerical factors and variables
Constant: Terms that have the exact same amount of variable factors
Equation: Two algebraic expressions that are equal
Solution: A value that makes an algebraic equation true
The correct match is given below:-
Coefficient:- If a term has a variable, the numerical factor is before the variable.
Like Terms:- A term that only has numerical factors and variables.
Constant:- Terms that have the exact same amount of variable factors.
Equation:- Two algebraic expressions that are equal.
Solution:- A value that makes an algebraic equation true.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The appropriate pairing is shown below: -
Coefficient: The numerical factor comes before the variable if a term has one.
Similar Terms: A term with only numerical variables and factors.
Terms with the same number of variables are said to be constants.
Equation: The equality of two algebraic expressions.
A value that makes an algebraic equation true is the answer.
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She buys packages of 12 trading cards to add to her collection. After she adds 16 packages to her existing collection, she has a total of 274 cards.
Write a function to model the size of Sabrina’s collection.
Enter the correct equation in the box.
Answer:
x + (12x16) = 274
Step-by-step explanation:
each package = 12
16 packages
16x12= 192
x + 192 = 274
274-192=82
x = 82
The function to model the size of Sabrina’s collection is x + (12× 16) = 274.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
Total cards = cards
Each package = 12
let the size of Sabrina collection be x
Then, x + (12× 16) = 274
x + 192 = 274
x = 274- 192
x= 82
Hence, the function to model the size of Sabrina’s collection is x + (12× 16) = 274.
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!!!!!Please Help Answer These!!!!!!
6x + 3y = 12 (solve for y)
10x - 5y = 10 (solve for y)
2x - y = 2 (solve for y)
3(1 - 3x) = 2( -4x + 7) what is the value of x
Answer:
y = 4 - 2x
y = -2 + 2x
y = -2 + 2x
x = 11
pease tell me if I got them wrong
HELPPPP I BEG YOUU!!!! IT IS ALGEBRA 1
Answer:
The answers are in the screenshot. There wasn't much information to go by, so if the domain and range (and graph) look a little weird, that's why
help me here! cant seem to find the answer.. ;-;
Answer:
slope equals 3
Question 3 of 8
Which of the following statements contain a variable? Check all that apply.
A. Half the area of the roof.
B. Sixteen feet long.
C. The number of people added to the group.
D. She ran 40 yards.
SUBMIT
Answer:
A. and C.
Step-by-step explanation:
We don't know the area of the roof or the number of people in the group so they would both be represented by variables in an equation.
What is the slope of the line that goes through the points (-1,4) and (14,-2)?
Answer:
hi! so we have 2 points right? you will need to use something called the slope formula y2-y1/x2-x1 we're subtracting our y values of both points and x values of both points while dividing them this gives us a slope of a line
now I want you to label before you do this in your head! it can get confusing to think about it so label label (x1-1,y1 4) (x2 14,y2 -2) now you have them labeled this parts easy! use the formula -2-4/14--1 okay now use your calculator you get -2/5 and now you have your m or slope!
memorize y2-y1/x2-x1 now! it will save you!
Step-by-step explanation:
Answer:
-2/5 is the answer
i think its six but you know points for u
Answer:
6 makes the most sense
Step-by-step explanation:
UwU
I'm still kinda confused about what a direct proportion is, if anyone could explain it to me, that would be great!
Answer:
Two quantities A and B have an equal ratio of a constant value direct proportion.
Answer:
a proportion of two variable quantities when the ratio of the two quantities is constant.Step-by-step explanation:
it's D because i did the test and got it right
:D
Answer:
ok
Step-by-step explanation:
The scatterplot below shows the relationship between the maximum height in feet, x, of several roller coasters and their top speed in miles per hour, y. Describe the direction, form, and strength, as well as any unusual observations .
A) The association between maximum height and top speed is positive, linear, and strong. There are no unusual observations.
B)The association between maximum height and top speed is positive , linear, and strong. There is one unusual observation at approximately (170, 150) .
C) The association between maximum height and top speed is positive, nonlinear, and strong. There is one unusual observation at approximately (170, 150) .
D) The association between maximum height and top speed is positive, linear, and moderate. There are no unusual observations.
E) The association between maximum height and top speed is positive, nonlinear, and moderate . There is one unusual observation at approximately (170 , 150)
Answer:
b
Step-by-step explanation:
i took the test
WILL M BRAINLIEST
WILL GIVE 9000 points do have
first one right will mark brainliest :):):):):):):) !!!!!!!
M means Mark
8+7–22 Response area 3² + 2 is it = to or no
i am pretty aure its one
Lucas wants to write 3 ÷ 2 as a mixed number. He performs the division below. 3 ÷ 2 = 1 R1 Explain how to write the quotient as a mixed number. Drag the words to complete the explanation. Words may be used once or not at all. quotientdivisordividendremainder Use the whole number part of the as the whole number part of the mixed number. Write the in the numerator of the fraction and write the in the denominator of the fraction.
Answer:
1 1/2
Step-by-step explanation:
Given the improper fraction 3÷2, this can also be written as 3/2.
Writing as a mixed fraction means writing as a combination of a whole number and fraction e.g a b/c
a is the whole number
b/c is the fraction
3/2 = 1.5
1.5 = 1 + 0.5
1+0.5 = 1 + 5/10
3/2 = 1 + 1/2
Hence 3÷2 expressed as mixed fraction is 1 1/2
The mixed number representation of 3 ÷ 2 is 1 1/2.
To write the quotient of 3 ÷ 2 as a mixed number, we use the whole number part of the quotient as the whole number part of the mixed number.
We write the remainder (1) in the numerator of the fraction, and the divisor (2) in the denominator of the fraction.
As, the whole number part of the quotient is the number of times the divisor (2) can be divided into the dividend (3) evenly.
In this case, 2 can go into 3 once, with a remainder of 1.
To express this as a mixed number, we write 1 as the whole number part, and the remainder (1) as the numerator of the fraction. The divisor (2) is written in the denominator of the fraction.
Therefore, the mixed number representation of 3 ÷ 2 is 1 1/2.
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Find the positive square root of 2 9/49
if p=4 and q =8
3q+2p÷2p+q
Answer:
Step-by-step explanation:
3(8)+2(4)÷2(4)+8 PEDMAS
24+8÷8+8
24+1+8
25+8
33
Which of the sets of ordered pairs represents a function? (4 points) A = {(−5, 5), (−2, 2), (2, −2), (5, −5)} B = {(4, 2), (3, −2), (9, 4), (11, −3)}
Answer:
Both of them are functions...
Step-by-step explanation:
Both of them are functions because neither A nor B has a repeated X value in their sets.
Answer:
C
Step-by-step explanation:
They both have different input and output
Evaluate D57C-76CA in base 16
c₁₆ - a₁₆ = 12 - 10 = 2₁₆
7 < c = 12 in base 16, so borrow 1 from the next place value:
17₁₆ - c₁₆ = 23 - 12 = 11 = b₁₆
In the next place, we replace 5 with 4, but 4 < 6, so borrow 1 from the next place value again:
14₁₆ - 6₁₆ = 20 - 6 = 14 = e₁₆
Replace d with c, so that
c₁₆ - 7₁₆ = 12 - 7 = 5₁₆
and this gives
d57c₁₆ - 76ca₁₆ = 5eb2₁₆
finding missing angles <3
Answer:
angle 1: 92
angle 2: 24
angle 3: 64
angle 4: 35
angle 5: 81
PLEASE HELPPP!!!!!!!!!!!!!!
Hey there!
The answer you're looking for is C.
Answer:
c
Step-by-step explanation:
use synthetic division to solve (3x^4+6^3+2x^2+9x+10)/(x+2). what is the quotient
Answer:
The quotient is:
[tex]3x^2-6x^2+14x-19[/tex]Please check the attached diagram.
Step-by-step explanation:
As this question involves proper formatting.
So, I am attaching the method in the attached diagram.
Your firm is contemplating the purchase of a new $570,000 computer-based order entry system. The system will be depreciated straight-line to zero over its five-year life. It will be worth $58,000 at the end of that time. You will save $270,000 before taxes per year in order processing costs, and you will be able to reduce working capital by $73,000 (this is a one-time reduction). If the tax rate is 35 percent, what is the IRR for this project? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.G., 32.16.)
Answer:
IRR = 31.93%
Step-by-step explanation:
Depreciation = 570,000/5 = 114,000
Calculation of Operating cash flow
Operating income = 270000 - 114000 = 156,000
Tax = 156,000 * 35% = 54,600
Operating cash flow = Operating income + Depreciation - Tax = 156,000 + 114,000 - 54,600 = 215,400
Calculation of initial investment
CF0 = Initial investment - Working capital = 570,000 - 73,000 = 497,000
Calculation of the last year cash flow
CF5 = OCF + After tax salvage - Net working capital = 215,400 + 37,000 - 73,000 = 180,100
Calculation of IRR
IRR for the project = IRR(Cashflow from year0, 1, 2,3,4,5) "as attached below picture below"
IRR for the project = 31.93%
Express using algebra. Five more than twice x.
Answer:
2x+ 5
Step-by-step explanation:
what is the correct value of x in the equation 2x + 3= 6
Answer:
x=(3/2) OR 1.5
Step-by-step explanation:
2x+3=6
2x=6-3
2x=3
x=(3/2) OR 1.5
Answer:
x=1.5
i hope this help :3 mark brainliest please!
thank you! <3
What is the area of this triangle? PLEASE HELP!!!!
9514 1404 393
Answer:
10 square units
Step-by-step explanation:
The triangle appears to have a base length (JL) of 4 units, and a height (JL to K) of 5 units. The area formula can be used:
A = (1/2)bh
A = (1/2)(4)(5) = 10
The area of the triangle is 10 square units.