Draw a number line to represent the street sign below
y- 1) The value, y, of a car x years after it is purchased is modeled by the function exponential function y = f(x), whose graph is shown above Which statement about the car's value is true? A) Its initial value is B + A, and it will fall to a value of B B) its initial value is A, and it will fall to a value of B C) Its initial value is A and it will fall to a value of A-B
Given the exponential function y = f(x), a is the initial value and it will fall to a value of B
What is an exponential function?
An exponential function is given by:
y = abˣ
Where a is the initial value of y and b is the multiplication factor.
The value, y, of a car x years after it is purchased is modeled by the exponential function y = f(x), a is the initial value and it will fall to a value of B
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A rectangular garden is 15.m long and 10m broad. find its perimeter and area.
Answer:
The perimeter is 50.
The area is 150.
Step-by-step explanation:
To calculate perimeter, add the length and width, then multiply the sum by 2.
( 15+10=25. 25*2=50 )
To calculate area, multiply the length and width.
( 15*10=150 )
Which of the following is equivalent to : 3x + 6 + 2x + 2 + x
A. 5x + 8
B. 6x + 8
C. 14x
b= c= Please help asap
7. An arched window has dimensions as
shown at the right. Consider the top of the
window to be a semicircle. How much plastic
covering is needed to cover the window,
following the outline of the window?
The amount of plastic covering needed to cover the window is 25.71.
How much plastic covering is needed?The window consists of a semi circle and a rectangle. The circumference and the perimeter of the semi circle and a rectangle has to be determined.
Circumference of the semi circle = 1/2πd + d
Where:
π = 3.14
d = diameter = 3
1/2 x 3.14 x 3 + 3 = 7.71
Perimeter of the rectangle = 2(length + width)
2x (6 + 3) = 18
18 + 7.71 = 25.71
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The perimeter of the triangular park shown on the right is 15x+2 . What is the missing length? The other two lengths are 5x-1 and 4x+4
Answer:
6x - 1
Step-by-step explanation:
Side 1: 5x - 1
Side 2: 4x + 4
Side 3: Unknown, y
Perimeter: 15x + 2
Perimeter = Side 1 + Side 2 + Side 3
15x + 2 = 5x - 1 + 4x + 4 + y
15x + 2 = 9x + 3 + y
6x - 1 = y
y = 6x - 1
Side 3 = 6x - 1
Starting at an initial height of 364 feet, an object is projected
upward at 60 feet per second. In how many seconds will it
reach the ground? I’m
Step-by-step explanation:
4.5 s, 324 ft
Explanation:
The object is projected upward with an initial velocity of
v_0 = 144 ft/sv
0
=144ft/s
The equation that describes its height at time t is
s(t) = -16t^2 + 144 ts(t)=−16t
2
+144t (1)
where t, the time, is measured in seconds.
In order to find the time it takes for the object to reach the maximum height, we must find an expression for its velocity at time t, which can be found by calculating the derivative of the position, s(t):
v(t) = s'(t) = -32t +144v(t)=s
′
(t)=−32t+144 (2)
At the maximum heigth, the vertical velocity is zero:
v(t) = 0
Substituting into the equation above, we find the corresponding time at which the object reaches the maximum height:
\begin{gathered}0=-32t+144\\t=\frac{144}{32}=4.5 s\end{gathered}
0=−32t+144
t=
32
144
=4.5s
And by substituting this value into eq.(1), we also find the maximum height:
s(t) = -16(4.5)^2+144(4.5)=324 fts(t)=−16(4.5)
2
+144(4.5)=324ft
used this way i even don't know sorry:))
What is the relationship between the difference in
the means and the MADs?
Answer:
Its the second one in the photo
Step-by-step explanation:
it's the second because when I clicked it I got it right.
Selma deposited a paycheck for $378.42. she’ll use the check register to record her transaction. what will be her new balance? a checking account has a balance of 2636 dollars and 41 cents. $2,257.99 $2,337.06 $3,014.83 $3,057.31
The new account balance by deposit of $378.42 will be $3014.83.
What is addition?When anything is increased in the already existing quantity then it is termed the addition.
Now it is given in the question that
Selma deposited an amount of = $378.42
Account balance =$2636.41
Now the new balance will be = New amount + Previous balance
[tex]\rm New\ amount = 2636.41+378.42=3014.83[/tex]
Thus new account balance by deposit of $378.42 will be $3014.83.
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Answer:
Step-by-step explanation:
c
Steve bought 24 ounces of his favorite cereal. He put equal amounts of the cereal in 4 containers. How many ounces did he put in each container?
I need it as a linear function thank you
[tex]5~~,~~\stackrel{5(6)}{30}~~,~~\stackrel{30(6)}{180}~~,~~\stackrel{180(6)}{1080}~~,~~\stackrel{1080(6)}{6480}~\hfill \boxed{f(x)=x_{n-1}(6)}[/tex]
now, that's recursive, we can also write it in explicit as [tex]5(6)^x[/tex]
Find the GCF for the set of numbers.
18, 36, and 60
Step-by-step explanation:
Factors of 36 are {1,2,3,4,6,9,12,18,36}
.
Factors of 60 are {1,2,3,4,5,6,10,12,15,20,30,60}
Common factors are }1,2,3,4,6,12} .
greatest Common Factor is 12 .
Neon bracelets cost $1 for 4.
What is the cost per bracelet?
At this rate, how much will 11 neon bracelets cost?
Answer:
its cost 25 cents
in so will cost 275 cent so 2.75
Step-by-step explanation:
A globe has a diameter of 12 inches. It fits inside a cube-shaped box that has a side length of 12 inches.
What is the volume, rounded to the nearest hundredth of a cubic inch, of the space inside the box that is not taken up by the globe?
The volume, rounded to the nearest hundredth of a cubic inch, of the space inside the box that is not taken up by the globe is 823.68 inches³
Volume of a sphereThe globe is a sphere. Therefore, the volume is as follows:
volume = 4 / 3 πr³
where
r = 12 /2 = 6 inches
volume = 4 / 3 × π × 6³
volume = 864 / 3 π
volume = 288 × 3.14 = 904.32inches³
Volume of a cube
The box is a cube. Therefore,
volume = L³
where
L = lengthTherefore,
volume = 12³
volume = 1728 inches³
Therefore, the volume of the space inside the box that is not taken up by the globe is as follows:
volume not taken up = 1728 - 904.32 = 823.68 inches³
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what is (x^-2 y^10)^2/x^5 y^-3 using only positive exponents
Answer:
[tex] \frac{(x^{ - 2}{y}^{10})^{2} }{ {x}^{5} {y}^{ - 3} } \\ \frac{ {x}^{ - 4} {y}^{20} }{ {x}^{5} {y}^{ - 3 } } \\ {x}^{ - 9} {y}^{23} \\ \frac{ {y}^{23} }{ {x}^{9} } \\ ans \: c[/tex]
15 points possible!!!!!!!!!!!!!!!!!!!! :)
Answer:
The answer would be 195 Strikeouts
Step-by-step explanation:
You take the number of each x then times by the number on the bottom so in this case, you have 3 15s that would be 45. for the 16s you have 5 so you do this math and you end up with 80 and keep going until you did all of them then add them up and that's your answer.
Let's analyze the data
Three players got 15 strikeoutsFive players got 16 strikeoutsTwo players got 17 strikeoutsTwo players got 18 strikeoutsNow lets solve:
Total number of strikeouts = 3 * 15 + 5 * 16 + 2*17 + 2*18
= 15 + 80 + 34 +36
= 95 + 70 = 165
Hope that helps!
Which of the following lists 3/6, 112, 15/18 in order from least to greatest?
Answer:
3/6 ⇒ 9/12⇒ 15/18
Step-by-step explanation:
To put the following lists 3/6,9/12, 15/18 in order from least to greatest we can turn the fraction into decimal..
3/6 = 0.5
15/18 = 0.83333333333
9/12= 0.75
Hence from least to greatest:
0.5,0.75, 0.83333333333
Also know as:
3/6,9/12,15/18
~lenvy~
Answer:
Order 3/6, 9/12, and 15/18 from least to greatest.
Keep in mind, there are multiple ways into finding the answer to this question.First, we must simplify these fractions as much as possible then find a possible common denominator.
3/6 simplifies to 1/2
9/12 simplifies to 3/4
15/18 simplifies to 5/6
Now we have fractions of 1/2(3/6), 3/4(9/12), and 5/6(15/18).
If we look at these fractions, we can see that they have a common denominator of 12. So let's convert these fractions into having a denominator of 12;
1/2 x 6/6 = 6/12
3/4 x 3/3 = 9/12
5/6 x 2/2 = 10/12.
So now we have the fractions 6/12(3/6), 9/12(9/12), and 10/12(5/6).
These are already ordered from least to greatest.
So therefore, this'll be ordered;
3/6, 9/12, and 15/18.
how do I simplify this expression
3x+4+2x+7
Step-by-step explanation:
3x + 4 + 2x +7
= 3x + 2x + 4 + 7
= 5x + 11
Write the log equation as an exponential equation. You do not need to solve for x.
In (3x + 2) = 3x
[tex]\ln(3x+2) = 3x\\\\\implies \log_e (3x+2) = 3x\\\\\implies e^{3x} = 3x+2[/tex]
What is the solution to the system of equations?
y=2/3x+3
y = -2
Answer:
and
Step-by-step explanation:
we have
-----> equation A
------> equation B
we know that
The solution of the system of equations is equal to the intersection point of both graphs
Using a graphing tool
see the attached figure
There are two intersection points
Therefore
The system of equations has two solutions
The solutions of the system of equations are the points and
Evaluate the following expression: (2,3)-3(1,1). Enter your answer as a vector
Answer:
Step-by-step explanation:
An expression is defined as a set of numbers, variables, and mathematical operations. The value of the given expression(2,3) - 3(1,1) in vector form is (-1, 0).
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
What is subtraction?Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.
The given expression can be solved as shown below.
(2,3) - 3(1,1)
Multiply 3 in the second vector,
= (2,3) - (3,3)
Subtracting vectors
= (2-3, 3-3)
= (-1, 0)
Hence, the value of the given expression(2,3) - 3(1,1) in vector form is (-1, 0).
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Find m< A
Round to the nearest degree
Answer:
a bit more than 48°
Step-by-step explanation:
We use the law of cosines for this.
The theorem is an extension of pythagoras' theorem, working for all triangles. In our case
[tex]\overline{BC}^2=\overline{AB}^2+\overline{AC}^2-2\overline{AB}\cdot\overline{AC}cos \hat A[/tex]
Let's replace all the values we have and find whatever is left.
[tex]10^2=11^2+13^2-2(11)(13)cos \hat A\\-286cos\hat A = -190\\cos \hat A\approx 0.6643 \rightarrow \hat A \approx 48\°[/tex]
which trig ratio
determine which trig ratio to use to solve for x
Answer:
sin = opp / hyp
cos = Adj / hyp
tan = opp / adj
7. cos 41 = x / 86
8. sin x = 5/13
9. cos x = 9/37
10. tan 61 = x/28
11. sin 41 = x/65
12. tan x = 79/84
Step-by-step explanation:
What is an advantage of renting a place to live? lower up-front costs payments change from month to month low down payment increasing equity over tim
Answer:
LOWER UPFRONT COSTS
Step-by-step explanation:
you're welcome ;)
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
See below.
Step-by-step explanation:
The answer would be 2 3/4.
The third tick represents 3/4, and this is between 2 and 3.
-hope it helps
Answer:
My guess is 2 3/4
Step-by-step explanation:
Sorry if i'm wrong, if im right can i have brainliest? So explanation is that the plotted point on the number line is c so that will make the numerator is id.k the difference between them the top of the number would be three because c is ploted on c and id.k how to get 4.
How many ice cream desserts consisting of four scoops, of either vanilla or hazelnut flavor, are possible
2 flavors and 4 scoops
total different possibilities = 2^4 = 16
answer: 16
What is the value of In e^4
a 0
b 1
c 2
d 4
Answer:
[tex]4[/tex]
Step-by-step explanation:
[tex]\ln e^4= 4\ln e = 4 \log_e e = 4 \times 1 = 4[/tex]
Each patron can borrow up to 6 books. If all the patrons are currently holding on to 6 books each, how many books are left in the library?
Answer:
Your answer would be:
3,384 books are left in the library
If each patron has 6 books, and there are 564 patrons:
564 x 6 = 3,384 books left
In conclusion, there are 3,384 books left in the library.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
YELLOW If this is the Math Test Results of all 300 seventh graders
at a school, how many of the kids earned an A?
Answer:
13%
Step-by-step explanation: