The range of the exponential function will be y ≥ 250,0003. Then the correct option is B.
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
The Population Of Center City Is Modeled By Exponential Function F, Where X Is The Number Of Years After The Year 2015.
The graph is given below.
We know that the exponential function is given as
y = abˣ
For x = 0, y will be 250,000
250,000 = a
For x = 40, y will be 400,000
400,000 = 250,000b⁴⁰
b = 1.0118
Then we have
y = 250,000 (1.0118)ˣ
Then the range of the exponential function will be y ≥ 250,0003.
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The age of A is five years more than that of B. 5 years ago, the ratio of their ages was 3:2. Find their present ages.
Answer:
a: 20
b : 15
Step-by-step explanation:
3*5 = 15
2*5 = 10
15-10 = 5
15+5 = 20
10+5 = 15
Answer:
Let:
Present age of B be 'x' years. Present age of A be ( x + 5 ) years.[tex] \: [/tex]
5 years ago,
Age of A = (x + 5) - 5 years = x years.Age of B = ( x - 5 ) years.[tex] \: [/tex]
According to the question,
[tex] \quad [/tex][tex] \quad [/tex][tex] \quad [/tex][tex]{ \large{ \rm{ \frac{x}{x - 5} = \frac{3}{2} }}} [/tex]
[tex]{ \green{ \implies}}{ \sf{2x = 3(x - 5)}}[/tex]
[tex]{ \green{ \implies}}{ \sf{2x = 3x - 15}} [/tex]
[tex]{ \green{ \implies}}{ \sf{3x - 2x = 15}} [/tex]
[tex]{ \green{ \implies}}{ \sf{x = { \boxed{ \pink{15}}}}} [/tex]
[tex] \: [/tex]
Therefore,
Present age of B (x) = 15 years.
Present age of A (x + 5) = 20 years.
Find the equation of the parabola with its focus at (–7,6) and its directrix at y = 4
The equation of the parabola with its focus at (–7,6) and its directrix at y = 4 will be (x + 7)² + 5.
How to illustrate the equation?By drawing the graph, it's can be depicted that the equation in this scenario is x² + 14x + 54.
Complete the square on the expression. This will be done by adding 49. This will be:
= x² + 14x + 7² + 54 - 49
= (x + 7)² + 5
Therefore, the equation of the parabola with its focus at (–7,6) and its directrix at y = 4 will be (x + 7)² + 5.
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At Dairy Freeze, 2 of the last 10 sundaes sold had nuts. Considering this data, how many of the next 20 sundaes sold would you expect to have nuts?
sundaes
Chris needs a clever pattern for Math class tomorrow. He comes up with this pattern: 8, 4, 12, 6, 16, 8, 20, 10, ___, __.
What is his rule for this pattern
A. each set of 4 numbers adds to 36.
B. each set of four numbers adds up to 30.
C. each set of 2 numbers makes up a prime number.
D. the first number in each set of 2 numbers is 4 more than the last first number, and the second number is ½ of the first.
Answer:
D
Step-by-step explanation:
can't really explain it just is the answer
hope this helps!
The equation of a circle is x^2 + y^2 =16 if the circle is translated 2 units up, what is the equation of the new circle?
The equation of the circle with the new point will be x² + ( y - 2 )² = 16.
What is a circle?The circle is defined as the locus of the point traces around a fixed point called the centre and is equidistant from the outer trace.
Given that:-
The circle is translated as 2 units up.The equation of the circle will be formed as:-
We know that the general form of the circle is given as
( x - h )² + ( y - k )² = r²,
where ( h, k ) is the centre and r is the radius. When the circle is shifted 2 units up it means that now its centre will be ( 0, 2). So the equation will be:-
x² + ( y - 2 )² = 16
Therefore the equation of the circle with the new point will be x² + ( y - 2 )² = 16.
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Kerri has a germen shepherd that has a mass of 30,000 grams. how many kilograms is 30,000 grams
given lim x→0 f(x)=4. what is lim x→0 1/4 [f(x)]^4?
Given that
[tex]\displaystyle \lim_{x\to0} f(x) = 4[/tex]
we can use the properties of limits to show
[tex]\displaystyle \lim_{x\to0} \frac14 f(x)^4 = \frac14 \lim_{x\to0} f(x)^4 = \frac14 \left(\lim_{x\to0} f(x)\right)^4 = \frac14 \times 4^4 = 4^3 = \boxed{64}[/tex]
Let's see
[tex]\\ \rm\Rrightarrow \lim_{x\to 0}\dfrac{1}{4}f(x)^4[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{1}{4}\lim_{x\to 0}f(x)^4[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{1}{4}\times 4^4[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{256}{4}[/tex]
[tex]\\ \rm\Rrightarrow 64[/tex]
A table of data is given.x(-2,-1,0,1,2)f(x)(71,13,3,0.6,0.1) which exponential model best represents the data
The equation of the exponential model is f(x) = 3 * 0.2^x
How to determine the exponential model?The table of data is given as:
x(-2,-1,0,1,2)
f(x)(71,13,3,0.6,0.1)
An exponential model is represented as:
f(x) = ab^x
When x= 0 and f(x) = 3;
We have:
ab^0 = 3
This gives
a = 3
When x= 1 and f(x) = 0.6
We have:
ab^1 = 0.6
This gives
ab = 0.6
Substitute 3 for a
3b = 0.6
Divide both sides by 3
b = 0.2
Substitute b = 0.2 and a =3 in f(x) = ab^x
f(x) = 3 * 0.2^x
Hence, the equation of the exponential model is f(x) = 3 * 0.2^x
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The lengths of 10 ribbons are 100 cm, 110 cm, 95 cm, 60 cm, 20 cm, 60 cm, 110 cm,
88 cm, 102 cm and 120 cm.
(i) State the modal lengths of the ribbons.
(ii) If a ribbon of length 110 cm is removed, what will be the new modal length of
the ribbons?
The modal lengths of the ribbons are 60 cm and 110cm.
If the length 110 is removed, the new model length would be 60 cm.
What is the mode?
Mode refers to a value that appears most frequently in a data set. Mode is a measure of central tendency. 110 and 60cm occur twice in the dataset. Thus, they are the mode lengths.
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can someone help me with these questions, don’t mind the answers written already
Answer:
a) x value is -2, min is -3(if thats y)
b) x value is 3, max is 21(if thats y)
Step-by-step explanation:
yes you do quadratic formula and such :)
A garden supply store sells two types of lawn mowers.Total sales of mowers for the year were $8379.79. The total number of mowers sold was 30. The small mower costs $249.99. The large mower costs $329.99. Find the number of large mowers sold.
a.
11
c.
17
b.
19
d.
9
Please select the best answer from the choices provided
A
B
C
D
Answer:
value + value = 8379.70
249.99x + 329.99*30-329.99x = 8379.70
-80x + 9899.70 = 8379.70
-80x = -1520.00
x = 19
30-x = 11
Step-by-step explanation:
The given equation has been solved in the table.
Step Statement
1
2
3
4
5
In which step was the subtraction property of equality applied?
A.
step 2
B.
step 3
C.
step 4
D.
The subtraction property of equality was not applied to solve this equation.
From the steps shown in the table given, we can conclude that: D. in solving the equation, the subtraction property of equality was not applied.
What is the Subtraction Property of Equality?If a + b = c, to apply the subtraction property of equality so that b is moved to the other side of the equation, we would have:
a + b - b = c - b
a = c - b
Thus, from the table given, the none of the steps showed that the subtraction property of equality was applied in solving the equation, so, the answer is: D.
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Garrett throws a dart at a circular dart board. the dart board has a radius of 16 inches and the bull's eye in the center of the dart board has a radius of 6 inches. what is the probability that a dart thrown at random within the dartboard will hit the bull's eye? round your answer to the nearest tenth, if necessary
Answer:14.1%
Step-by-step explanation:
Which inequality's graph will have a dashed boundary line?
A.
x + 7y > 3
B.
7x + y ≤ 3
C.
6x − 5y ≥ 4
D.
y − x ≤ 3
An inequality that will have dashed boundary line will be separated by a less than < or greater than > sign. From the option given, the correct inequality is x + 7y > 3
Graph of inequalitiesInequalities are expression not separated by an equal sign. According to the question, we ned the inequality's graph that will have a dashed boundary line.
An inequality that will have dashed boundary line will be separated by a less than < or greater than > sign.
From the option given, the correct inequality is x + 7y > 3
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Solve -32x + 3 < 5.
A. > 3 and x < 3
OB. > -3 and x < 1
OC. x > 3 or x ≤ 1
Answer:
Negative one over 6
Step-by-step explanation:
you must download mathspapa
and write that number to solve it
Which operations is the following set closed under? Explain your answer. \(\left\{2,4,6,...\right\}\)
The operation that is being used to complete the sequence is an addition, in which each number is added + 2.
What is a sequence?A sequence is a mathematical term that refers to the succession of numbers or other mathematical objects related to each other, which is characterized by taking into account the relative position of each number with respect to the previous one.
According to the above, it can be inferred that from the following sequence:
2, 4, 6, ...The operation that is defining the sequence is:
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Answer:The operation that is being used to complete the sequence is an addition, in which each number is added + 2.
What is a sequence?
A sequence is a mathematical term that refers to the succession of numbers or other mathematical objects related to each other, which is characterized by taking into account the relative position of each number with respect to the previous one.
According to the above, it can be inferred that from the following sequence:
2, 4, 6, ...
The operation that is defining the sequence is:
x + 2
0 + 2 = 2
2 + 2 = 4
4 + 2 = 6
Step-by-step explanation:
Transform this equation to slope-intercept form: 6x + 4y = 8.
O y=3/2x+4
○ y=-3/2x+4
○ y =3/4 x+2
○y=-3/2x+2
Answer:
last option
Step-by-step explanation:
[tex]6x + 4y = 8 [/tex]
[tex]4y = 8 - 6x[/tex]
[tex]y = \frac{8 - 6x}{4} \\ [/tex]
[tex]y = \frac{8}{4} - \frac{6x}{4} \\ [/tex]
[tex]y = 2 - \frac{3x}{2} \\ [/tex]
[tex]y = - \frac{ 3x}{2} + 2 \\ [/tex]
y = -3/2x + 2
Pretest: Unit 8
Question 12 of 13
Which option below provides the best description of the relationship between
a quadratic parent function and a square root parent function?
A. The square root function is the quadratic function reflected across
the y-axis.
B. The square root function is the quadratic function reflected across
the line y = x, with a limited domain.
C. The square root function is the quadratic function reflected across
the x-axis.
The square root function is the quadratic function reflected across.
We have given that,
a quadratic parent function and a square root parent function
A. The square root function is the quadratic function reflected across
the y-axis.
B. The square root function is the quadratic function reflected across
the line y = x, with a limited domain.
C. The square root function is the quadratic function reflected across
the x-axis.
We have to determine the correct option.
What is the parent function?
A parent function is the simplest function of a family of functions that preserves the definition of the entire family.
The correct option is,
B. The square root function is the quadratic function reflected across.
the line y = x, with a limited domain.
graph y=x^2 and y=√x and y=x
graph is attached
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Please help! 20 points if u answer
Answer:
find the measure of J
180-45=135
find the measure of K
360-135=225
Which of the following sets of numbers could represent side lengths of a right triangle?
Answer:
6m,8m,10m
Step-by-step explanation:
6m,8m,10m represent side lengths of a right triangle.
Proof :
for right angled triangle,
p^2 + b^2 = h ^ 2
6^2 + 8^2 = 10^2
36 + 64 = 100
100= 100{True}
proved
Answer:6m,8m,10m
Step-by-step explanation:
Estimate a 20% tip on a dinner bill of $161.86 by first rounding the bill amount to the nearest ten dollars.
Answer:
See below
Step-by-step explanation:
If you just want the tip
[tex]0.20*161.86\approx\frac{1}{5}*160=32[/tex]
If you want the total bill
[tex]1.20*161.86\approx160+32=192[/tex]
If f(x) = 5x, what is fr¹(x)?
Answer:
The first one
Step-by-step explanation:
Which is the completely factored form of 12x3 – 60x2 + 4x – 20?
Answer:
[tex]4(x-5)(3{x}^{2}+1)[/tex]
Step-by-step explanation:
1) Find the Greatest Common Factor (GCF).
1 - What is the largest number that divides evenly into [tex]12x^3,-60x^2,4x,[/tex] and [tex]-20[/tex] ?
It is [tex]4.[/tex]
2 - What is the highest degree of [tex]x[/tex] that divides evenly into [tex]12x^3,-60x^2,4x,[/tex] and [tex]-20[/tex] ?
It is 1, since [tex]x[/tex] is not in every term.
3 - Multiplying the results above,
The GCF is 4.
2) Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
[tex]4(\frac{12{x}^{3}}{4}+\frac{-60{x}^{2}}{4}+\frac{4x}{4}-\frac{20}{4})[/tex]
3) Simplify each term in parentheses.
[tex]4(3{x}^{3}-15{x}^{2}+x-5)[/tex]
4) Factor out common terms in the first two terms, then in the last two terms.
[tex]4(3{x}^{2}(x-5)+(x-5))[/tex]
5) Factor out the common term [tex]x-5[/tex].
[tex]4(x-5)(3{x}^{2}+1)[/tex]
How can you represent writing a check of$10 as an integer
Answer:
Step-by-step explanation:
La cantidad numérica es donde escribes la cantidad del cheque con números/dígitos. Escribe los dólares en forma numérica y luego indica los centavos después del punto decimal. En el ejemplo a continuación, los dólares son ciento veinticinco (125) y los centavos son setenta y cinco (. 75).
Circle P has a circumference of approximately 75
inches.
a
What is the approximate length of the radius, ? Use
3.14 for T. Round to the nearest inch.
O 12 inches
O24 inches
O38 inches
O46 inches
Answer:
l think the answer is 024 inches because it has to division
Step-by-step explanation:
just divide both sides by 3.14 yes
The radius of the circle is 12 inches.
What is the radius?Radius is the distance from the center of the circle to any point on its circumference, which means the line segment that connects the center of a circle to any point on its circumference is called the radius.
Given that the circumference of a circle is 75 inches we need to find the radius,
So,
C = π × diameter
75 = 3.14 × d
d = 23.88
∵ d = 2r
∴ r = 23.88/2
r = 11.94
r ≈ 12
Hence the radius of the circle is 12 inches.
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The volume of a pyramid whose base is a
right triangle is 680 units. if the two legs
of the right triangle measure 15 units and
16 units, find the height of the pyramid.
The height of the prism is 5.67 units
How to determine height of the pyramid?
The given parameters are:
Volume = 680 cubic unitsBase dimensions = 15 and 16 unitsThe volume of a right triangle pyramid is:
Volume = 0.5 * Height * Base dimensions
So, we have;
680 = 0.5 * Height * 15 * 16
Evaluate
Height = 5.67
Hence, the height of the prism is 5.67 units
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i will ask alot of questions again sorry
Answer:
7.5 m = 0.0075 km (Correct)
0.31 = 310 mm (Correct)
46 m = 4,600 cm (Correct)
457 mm =4.57 cm (Incorrect)
0.6 km = 6,000 m (Incorrect)
Step-by-step explanation:
Tell me if something is wrong.
7. a hockey arena has 10 920 seats. the first row of seats around the rink has 220 seats. the number of seats in each subsequent row increases by 16. how many rows of seats does the arena have?
The number of rows in the arena is 26
How to determine the number of rows?The hockey arena illustrates an arithmetic sequence, and it has the following parameters:
First term, a = 220Sum of terms, Sn = 10920Common difference, d = 16The number of rows (i.e. the number of terms) is calculated using:
[tex]S_n = \frac{n}{2}(2a + (n -1) * d)[/tex]
So,we have:
[tex]10920 = \frac{n}{2}(2 * 220 + (n -1) * 16)[/tex]
Evaluate the terms and factors
[tex]21840 = n(440 + 16n -16)[/tex]
Evaluate the like terms
21840 = n(424+ 16n)
Expand
21840 = 424n + 16n^2
Rewrite as:
16n^2 + 424n - 21840 = 0
Using a graphical tool, we have:
n = 26
Hence, the number of rows in the arena is 26
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The equation y - 5 = 6(x+1) is written in point-stope form. What is the equation written in slope-intercept form?
A. y = 6x + 11
B. y = 6x - 1
C. y = 6x - 4
D. y = 6x + 6
Answer:
A
Step-by-step explanation:y-5=6(x+1)
y-5=6x+6 Combine like terms so you add -5 to +6 which would be y=6x+11
Four hundred seventy-six thousandths as a decimal number.
Answer:
.467
Step-by-step explanation:
467 thousandths are moving the decimal to the front and putting the numbers to the right, so it would be 0.467.