Answer:
1.3 or 1.333333
Step-by-step explanation:
Just do it!
The equation a^-4= is equal to what?
Answer:
a⁻⁴ = 1/a⁴
Step-by-step explanation:
1/a⁴
John bought a motor cycle for $56,750 and spent $4530 On its repair. Then he sold it for $72650, what was the profit?
Answer:
cost of old motor bike =$5675
he spent on repair =$453
cost that he sold =$7265
profit he made=$7265-$5675+$453
=$7265-$6128
=$1137
Step-by-step explanation:
A stretch by a factor of 2 for the exponential growth function f(x)= a(nine-fourths) superscript x occurs when a = . a stretch by a factor of eleven-thirds for the exponential decay function f(x)= a(three-fifths) superscript x occurs when a = . a shrink by a factor of one-third for the exponential growth function f(x)= a(7)x occurs when a = . a shrink by a factor of two-fifths for the exponential decay function f(x)= a(two-ninths) superscript x occurs when a = .
Answer: A stretch by a factor of 2 for the exponential growth function f(x)= a(9/4)^x occurs when a =✔ 2
A stretch by a factor of 11/3 for the exponential decay function f(x)= a(3/5)^x occurs when a =✔ 11/3
A shrink by a factor of 1/3 for the exponential growth function f(x)= a(7)^x occurs when a =✔ 1/3
A shrink by a factor of 2/5 for the exponential decay function f(x)= a(2/9)^x occurs when a =✔ 2/5
Step-by-step explanation:
The exponential growth equation is stretched and compressed by a scale factor k = 2 , 11/3 , 1/3 and 2/5
What is exponential growth factor?The exponential growth or decay formula is given by
x ( t ) = x₀ × ( 1 + r )ⁿ
x ( t ) is the value at time t
x₀ is the initial value at time t = 0.
r is the growth rate when r>0 or decay rate when r<0, in percent
t is the time in discrete intervals and selected time units
Given data ,
Let the exponential growth equation be represented as A
Now , the value of A is
For the exponential growth function f(x)= a(9/4)ˣ, a stretch by a factor of 2 occurs when a = 2
For the exponential decay function f(x)= a(3/5)ˣ, a stretch by a factor of 11/3 occurs when a = 11/3
For the exponential growth function f(x)= a(7)ˣ, a shrink by a factor of 1/3 occurs when a = 1/3
For the exponential decay function f(x)= a(2/9)ˣ, a shrink by a factor of 2/5 occurs when a = 2/5
Hence , the exponential equation is solved
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Question 9 of 30 If f(x) = 3*-¹ + 4 and g(x) = 4x-7, what is (f - g) (x) ? O A. (f - g)(x) = 3*-1 - 4x-11 B. (f - g)(x) = 3*-1 - 4x +11 C. (f - g)(x) = 3*-1 - 4x+3 O D. (f-g)(x) = 3×-¹ - 4x - 3 NEED HELP ASAP
Answer:
I really don't know
Step-by-step explanation:
what is even that
determine whether the given graph is a function or not
Given right triangle QRS, what is the value of sin(30°)?
The value of sin(30°) is 1/2.
What is Trigonometry?The branch of mathematics concerned with specific functions of angles and their application to calculations.
The diagram is attached below:
We know,
sin 30= Perpendicular/ Hypotenuse.
As, the hypotenuse is the opposite side of the right angle and the perpendicular is opposite to the given angle.
So,
sin 30 = 5/10
sin 30 = 1/2
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Find the tables with unit rates greater than the unit rate in the graph then arrange these tables in order from least to greatest unit rate
Table 3,4,5,6,7 has a greater value of the unit rate than the unit rate of the graph.
What is a graph?A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.
The unit rate of the graph is;
[tex]r_g = \frac{26-0}{14-0} \\\\ r_g = \frac{13}{7} \\\\ r_g = 1.857[/tex]
The unit rate for the given tables;
[tex]\rm r_1 = \frac{26-13}{14-7}\\\\ r_1 = \frac{13}{7} \\\\ r_1 = 1.857[/tex]
[tex]\rm r_2 = \frac{26-13}{14-7} \\\\ r_2 = \frac{9}{5} \\\\ r_2 = 1.8 < 1.818[/tex]
[tex]r_3 = \frac{34-17}{18-9} \\\\r_3 = \frac{17}{9} \\\\ r_3 = 1.889 > 1.818[/tex]
[tex]\rm r_4 = \frac{42-21}{22-11} \\\\ r_4 = \frac{21}{11} \\\\ r_4 = 1.909 > 1.818[/tex]
[tex]\rm r_5 = \frac{38-19}{20-10} \\\\ r_5 = \frac{19}{10}\\\\ r_ 5 = 1.9 > 1.818[/tex]
[tex]\rm r_6 = \frac{50-25}{26-13} \\\\ r_6 = \frac{25}{13} \\\\ r_6 = 1.923 > 1.818[/tex]
[tex]r_ 7 = \frac{46-23}{24-12} \\\\ r_7 = \frac{23}{12} \\\\r_7 = 1.917 > 1.818[/tex]
Hence, table 3,4,5,6,7 has a greater value of the unit rate than the unit rate of the graph.
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Carlita has a swimming pool in her backyard that is rectangular with a length of 26 feet and a width of 14 feet. She wants to install a concrete walkway of width c around the pool. Surrounding the walkway, she wants to have a wood deck that extends w feet on all sides. Find an expression for the perimeter of the wood deck.
Lets solve the question,
Given dimensions are:
Length = 26 feet
Width = 14 feet
concrete walkway with width = c
After installing the concrete walkway dimensions of the walkway will be,
Length = 26 + 2c
Width = 14 + 2c
She wants to build a wooden deck around the pool with a concrete walkway of width = w
Thus the dimensions of the wooden deck around the pool will be,
Length = [tex]26 + 2c + 2w[/tex]
Width = [tex]14 + 2c + 2w[/tex]
Now the perimeter of the wooden deck will be,
Perimeter = 2(length + width)
[tex]= 2[(26 +2c + 2w) + 2(14 + 2c + 2w)] = 2(40 + 4c + 4w) = (80 + 8c + 8w)[/tex]
Therefore, perimeter of the wooden deck would be: 80 + 8c + 8w
Perimeter = (80 + 8c + 8w)
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Members of a soccer team raised $1818.50 to go to a tournament. They rented a bus for $960.50 and budgeted $35.75 per player for meals. Write and solve an equation which can be used to determine p, the number of players the team can bring to the tournament.
The equation formed by the given condition is 960.5 + 35.75p ≤ 1818.50 and the number of players they can bring is a maximum of 24.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Given that,
The total amount that can be spent = $1818.50
Rent of bus = $960.50
Cost per player = $35.75/player
So,
Cost of bus + Cost per player × number of players ≤ The total amount that can be spent
960.50 + 35.75p ≤ 1818.50
35.75p ≤ 858
p ≤ 24
Hence "The equation formed by the given condition is 960.5 + 35.75p ≤ 1818.50 and the number of players they can bring is a maximum of 24".
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Equation:
Step-by-step explanation:
The length of a rectangle is twice its breadth. If its length is decreased half of the 10 cm and the breadth is increased by half of the 10 cm cm, the area of the rectangle is increased by 5 sq cm, more than 70 sq cm. Find the length of the rectangle.
Also....any armies, stays and blinkss?
Since the length of this rectangle is twice its breadth, the length is equal to 40 cm.
How to calculate the area of a rectangle?Mathematically, the area of a rectangle can be calculated by using this formula:
Area = Length × Width
Based on the information provided, we have:
Its length is decreased half of the 10 cm ⇒ (length - 5)Its breadth is increased by half of the 10 cm ⇒ (breadth + 5)Its area is increased by 75 cm ⇒ (area + 5)Substituting the parameters into the formula, we have:
LB + 75 = (L - 5)(B + 5)
2B² + 75 = (2B - 5)(2B + 5)
2B² + 75 = 2B(B + 5) - 5(B + 5)
2B² + 75 = 2B² + 10B - 5B - 25
5B = 75 + 25
5B = 100
B = 100/20
B = 20 cm.
For the length, we have:
L = 2B
L = 2 × 20
L = 40 cm.
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What is the product of 4 and 5g + 2.34?
The product of 4 and 5g + 2.34 is 20g + 9.36
How to determine the product?The expressions are given as:
4 and 5g + 2.34
As a product expression, we have:
4 * (5g + 2.34)
Evaluate the product
20g + 9.36
Hence, the product of 4 and 5g + 2.34 is 20g + 9.36
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The sum of ages of Clayman and Ato is 25 years. In five years' time, the age of Ato will twice the age of Clayman now. a. How old is Clayman? b. How old is Ato?
Clayman is 10 years old and Ato is 15 years old
Word problems leading to equationsLet the age of Clayman be x
Let the age of Ato be y
If the sum of ages of Clayman and Ato is 25 years. then;
x + y = 25
x = 25 - y ...... 1
In five years time;
Age of Clayman = x + 5
Age of Ato = y + 5
If in five years' time, the age of Ato will twice the age of Clayman now, then;
y+5 = 2x ............. 2
Substitute equation 1 into 2
y +5 = 2(25-y)
y + 5 = 2(30 - y)
y + 5 = 50 - 2y
3y = 45
y = 15
Since x + y = 25
x = 25 - 15
x = 10
Therefore Clayman is 10 years old and Ato is 15 years old
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In a physics class demonstration, a ball is dropped from the roof of a building, 72 ft above the ground. The height, h, in feet, of the ball above the ground is given by the function h = -16t2 + 72, where t is time in seconds.
The graph is shown below:
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given:
h(t) = -16t² + 72
For t=-1,
h(-1) = -16 * (-1)² +72
h(-1) = -16 +72= 56
Ordered pair is ( -1, 56)
For t=1,
h(1) = -16 * (1)² +72
h(1) = -16 +72= 56
Ordered pair is ( 1, 56 )
For t=2,
h(2) = -16 * (2)² +72
h(2) = -64 +72= 8
Ordered pair is ( 2, 8 )
For t=3,
h(2) = -16 * (3)² +72
h(2) = -144 +72= -72
Ordered pair is ( 3, -72)
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please help!!! picture has the question and answer choices in it
Answer:
5x-y≥ 1
Step-by-step explanation:
Find the slope of the line to be :
y = 5x -1 <===== the shaded area is less than or equal (because it is a SOLID line...not dashed) to this :
y ≤ 5x-1 re-arrange to
5x-y ≥ 1
19.
(05.06 MC)
The scatter plot shows the number of households, in millions, that have cable television over eight consecutive years. Which of the following is an appropriate line of best fit? (1 point)
Considering the given scatter-plot, the line of best-fit is given by:
y = 0.77857t + 3.7.
How to find the equation of the line of best-fit using a calculator?To find the equation, we need to insert the points (t,y) in the calculator.
In this problem, considering the scatter-plot, we have that:
The values of t are: 1, 2, 3, 4, 5, 6, 7.The values of y are: 3.8, 5.8, 6.2, 7.5, 7, 8.2, 9.2.Hence, using the calculator, the equation is:
y = 0.77857t + 3.7.
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Which statement about proportional relationships is false?
A proportional relationship must graph as a line.
A graph of a proportional relationship must pass through (0, 0).
Each point (or pair) in a proportional relationship must share the same ratio.
O Each point (or pair) in a proportional relationship must share the same difference.
Mark this and return
Save and Exit
Next
Submit
Answer:
Each point (or pair) in a proportional relationship must share the same difference is the false statement.
Find the value of $x$ that satisfies $\frac{1}{3x-1} = \frac{2}{x+1}$. Can someone please explain this in detail?
The value of x = 3/5 or 0.6 will satisfy the equation given.
What is an Equation ?An equation is a mathematical statement which is formed when two expressions are equated by an equal sign.
It is given that
[tex]\rm \dfrac{1}{3x-1} = \dfrac{2}{x+1}\\[/tex]
It has to be solved and the value of x has to be determined
(x+1) = 2 (3x-1)
x +1 = 6x -2
5x = 3
x = 3/5
Therefore the value of x = 3/5 or 0.6 will satisfy the equation given.
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Help plssssss I need this today
Answer:1 is exponential. 2 is linear. 3 is neither. 4 is linear. 5 is linear. 6 is exponential. 7a is exponential. I think 7b could be 10x + y = 10 but I'm not too sure. 7c is (8,4).
Step-by-step explanation:1. the coordinates are moving in an exponential way or something im not sure the correct wording but that is what exponential graphs look like. 2 is a straight line so it is linear. 3 is neither because the graph isn't exponential or linear. 4 is linear because the coordinates are subtracting at the same number. 5 is linear for the same reason at 4. 6 is exponential because the coordinates are multiplied by 2 each time. 7a is exponential because the coordinates are divided by 2 each time. 7b I'm not sure on. 7c is 8/4 because August is the 8th month and the month before (7) is 8 so 8 divided by 2 equals 4. So the 8th month would have to be 4. I hope that helps!
What is the solution to the linear equation?
8-10-28+7=8+d-10-36
0 d=-5
O d=1
0 d=5
Mark this and retur
Save and Exit
Next
Submit
Answer:
d = 15
Step-by-step explanation:
8 - 10 - 28 + 7 is equal to -23
8 + d - 10 - 36 is equal to -38 + d
if -23 = -38 +d
15 = d
The solution of the equation is d = 15
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 8-10-28+7=8+d-10-36
In the equation d is the variable
We have to solve for d
8-10-28+7=8+d-10-36
-23 = -38+d
Add 38 on both sides
-23+38=d
15=d
Hence, the solution of the equation is d = 15
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NEED HELP ASAP!!!!!
Triangle ABC and DEF are similar. Answer the following questions:
a. What relationship can you write for the angles of these two triangles?
b. What is the length of the missing side?
Answer:
a)<BAC = EDC,<DEC =ABC,ACB=DFE
b)7
Step-by-step explanation:
According to the definition, two triangles are similar if their corresponding angles are congruent and corresponding sides are proportional. Hence, we can find the dimensions of one triangle with the help of another triangle. If ABC and DEF are two similar triangles, then by the help of below-given formulas, we can find the relevant angles and side lengths.
∠A = ∠D, ∠B = ∠E and ∠C = ∠F
AB/DE = BC/EF= AC/DF
In which funtion is x=2 mapped to 32?
The function g(x)=4(x+3)² - 68 is mapped to 32.
What is equation?An equation is a mathematical expression in terms of one or more unknown variable.
Given are the following functions:
f(x)= - 3x² - 4
g(x)= 4(x+3)²-68
f(x)= 3x
f(x)= 2x-62
To get the mapped function, we substitute the value of x in all function,
a) f(x)=-3x²- 4
Put x=2,
f(2)= -3 (2)² - 4
f(2)= -16
It is not mapped.
b) g(x)=4(x+3)² - 68
Put x=2,
g(2) = 4(2+3)² - 68
g(x) =32
It is mapped to 32.
c) f(x)=3x
Put x=2,
f(2) = 3 x 2 =6
It is not mapped.
d) f(x)=2x - 62
Put x=2,
f(2) =2x2 -62
f(2) = -58
It is not mapped.
Therefore, the function g(x)=4(x+3)² - 68 is mapped to 32.
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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]
--
Convert each rate using dimensional analysis. Round to the nearest tenth, if necessary.
45 mi/h = ___ ft/s
The 45 mi/h is equal to the 2640 ft/min.
To convert 30 miles per hour to feet per minute, we use dimensional analysis in the process.
We have given that, rate using dimensional analysis.
What is the 1 hour?
1 hour = 60 minutes.
1 mile is equal to 5280 feet and 1 hour is equal to 60 minutes.
Hence the formula of conversion is 30 miles / hour *(5280 ft/ mile) * (1 hour / 60 min).
The answer is 2640 ft/min.
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Which table represents an arithmetic sequence?
An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The table that represents an arithmetic sequence is the third table.
What is arithmetic sequence?An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
The explicit formula for any arithmetic series is given by the formula,
aₓ = a₁ + (x-1)d
where d is the difference and a₁ is the first term of the sequence.
For the table to be in an arithmetic sequence, the difference between any two consecutive terms must be equal.
For the first table, the difference between the first two terms is -6, while for the next two terms it is -12. Thus, it is not an arithmetic sequence.In the second table, the difference between the first two terms is 2 while the difference between the next two terms is 4. Thus, it is not an arithmetic sequence.In the third table, the difference between the first two terms is 1.4, the difference between the next two terms is 1.4. Also, it last two terms the difference is 1.4. Thus, it is an arithmetic sequence.Hence, the table that represents an arithmetic sequence is the third table.
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insert one rational number between 5 and 5.25
Answer:
5.1
Step-by-step explanation:
A rational number is any number that can be written as a fraction, or is a decimal that terminates or repeats.
Which graph shows the solution to the system of linear inequalities? Y<2x-5 y>-3+1
Helppppp
Answer:
Is the second expression written correctly? It reduces to y>-2, since no x is in the equation.
Step-by-step explanation:
We can graph the two equations. See attached image. If y>2 is the correct expression, all points to the right.
If the equation was meant to read y=-3x+1, then graph the revised expression.
The Rotation maps all 60° about O the center of the regular hexagon. State the image of B for the following rotation. R^3=
F
E
B
B will be at the place of E after all three rotations. So the correct option is B.
What is Rotation?Moving in a circular plane with respect to the fixed point is called as the rotation of the object.
If rotation maps to The three rotations for B will be
The given B after one rotation will shift in place of C
After the second rotation will shift in place of D
After the third rotation will shift in place of E
B will be at the place of E after all three rotations. So the correct option is B.
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The difference of a number and 6is the same as 5 times
Answer:
let difference be x
Step-by-step explanation:
you can solve for x by keeping the 2 statesments as conditions.
then you solve for both equations together by adding subtracting or multiplying.
eg: let x be the number.
the. proceed with conditions as equations
then solve
then your answer is here
kacee spent half of the money in her bank account, then deposited $15 more. if she now has $29, how much did she have begin with.
Answer:
Step-by-step explanation:
Solution
Before she put anything back into her account, she had 29 - 15 = 14 dollars.
She started with 2 * 14 = 28 dollars.
Answer: 28 dollars.
Explain please .................
Answer:
See below
Step-by-step explanation:
cos 2pi/3 = -1/2
sin 2pi/3 = sqrt (3)/2
cos 1 pi/6 = sqrt(3)/2
sin 11 pi/6 = - 1/2
so when you put in these values in you will have :
(2*8) * (-1/2 + sqrt (3)/2 i )( sqrt(3)/2) + i (-1/2) )
= 16 ( - sqrt (3)4 + 1/4 i + 3/4 i - sqrt(3)/4 i^2 ) rememember i^2 = - 1
= 16 ( 1/4 i + 3/4 i )
= 16 i
