Answer:
-10
Step-by-step explanation:
if we put f(n)=3 , Then
f(3)=f(3-2) + f(3-1)
= f(1) + f(2)
= -6+(-4). [since f(1)= -6 and f(2) = -4)
= -6-4
= -10
Please help me with my math
The graph of the absolute value parent function, f(x) = |x, is stretched
orizontally by a factor of 3 to create the graph of g(x). What function is g(X)
Answer:
g(x) = 1/3 • |x|
Step-by-step explanation:
To stretch a parent function, you multiply by whatever you want to stretch it with. If you multiplied by 3, it would be a vertical stretch... if you multiplied by 1/3, it makes it horizontal.
Hope this helps!
A total of 10,800 pharmacy technicians were hired last year in particular country. This is 3% of all pharmacy technicians employed in the country. How many pharmacy technicians are employed in the country?
well, the total amount of technicians employed is 100% and that is "x" amount, now, we also know that 3% of of that is 10800, so
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 10800& 3 \end{array} \implies \cfrac{x}{10800}~~=~~\cfrac{100}{3} \\\\\\ 3x=1080000\implies x=\cfrac{1080000}{3}\implies x=360000[/tex]
At time t=0 a woman tosses an apple straight up into the air. At time t= 0.5, it begins to fall back to her hand. She catches the apple at t=1.0. Treat motion upward a positive. which of the follwong graphs could represent the motion of the apple?
The graph that could represent the motion of the apple is graph B.
What is a graph?A graph is a diagram showing the relation between variable quantities, typically of two variables, each measured along with one of a pair of axes at right angles.
Here, the speed of apple at time t is given by v=0 + at which is a straight line of slope a that passes through origin because constant is zero. At time t=0 its initial speed is 0 and it will increase constantly with time. Therefore, graph (B) is correct
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A culture of bacteria has an initial population of 9300 bacteria and doubles every 3
hours. Using the formula P = Po 25, where Pt is the population after thours, P
is the initial population, t is the time i hours and d is the doubling time, what is the
population of bacteria in the culture after 10 hours, to the nearest whole number
Answer:
The approximate population of bacteria in the culture after 10 hours is 93,738.
Step-by-step explanation:
General Concepts:Exponential Functions.Exponential Growth.Doubling Time Model.Logarithmic Form.BPEMDAS Order of Operations:
Brackets.Parenthesis.Exponents.Multiplication.Division.Addition.Subtraction.Definitions:We are given the following Exponential Growth Function (Doubling Time Model), [tex]\displaystyle\mathsf{P_{(t)}\:=\:P_0\cdot2^{(t/d)}}[/tex] where:
[tex]\displaystyle\sf{P_t\:\:\rightarrow}[/tex] The population of bacteria after “t ” number of hours. [tex]\displaystyle\sf{P_0 \:\:\rightarrow}[/tex] The initial population of bacteria. [tex]\displaystyle{t \:\:\rightarrow}[/tex] Time unit (in hours). [tex]\displaystyle{\textit d \:\:\rightarrow}[/tex] Doubling time, which represents the amount of time it takes for the population of bacteria to grow exponentially to become twice its initial quantity. Solution:Step 1: Identify the given values.
[tex]\displaystyle\sf{P_0\:=}[/tex] 9,300. t = 10 hours. d = 3.Step 2: Find value.
1. Substitute the values into the given exponential function.
[tex]\displaystyle\mathsf{P_{(t)} = P_0\cdot2^{(t/d)}}[/tex]
[tex]\displaystyle\mathsf{\longrightarrow P_{(10)} = 9300\cdot2^{(10/3)}}[/tex]
2. Evaluate using the BPEMDAS order of operations.
[tex]\displaystyle\mathsf{P_{(10)} = 9300\cdot2^{(10/3)}\quad \Longrightarrow BPEMDAS:\:(Parenthesis\:\:and\:\:Division).}[/tex]
[tex]\displaystyle\sf P_{(10)} = 9300\cdot2^{(3.333333)}\quad\Longrightarrow BPEMDAS:\:(Exponent).}[/tex]
[tex]\displaystyle\sf P_{(10)} = 9300\cdot(10.079368399)\quad \Longrightarrow BPEMDAS:(Multiplication).}[/tex]
[tex]\boxed{\displaystyle\mathsf{P_{(10)} \approx 93,738.13\:\:\:or\:\:93,738}}[/tex]
Hence, the population of bacteria in the culture after 10 hours is approximately 93,738.
Double-check:We can solve for the amount of time (t ) it takes for the population of bacteria to increase to 93,738.
1. Identify given:
[tex]\displaystyle\mathsf{P_{(t)} = 93,738 }[/tex].[tex]\displaystyle\mathsf{P_0 = 9,300}[/tex].d = 3.2. Substitute the values into the given exponential function.
[tex]\displaystyle\mathsf{P_{(t)} = P_0\cdot2^{(t/d)}}[/tex]
[tex]\displaystyle\mathsf{\longrightarrow 93,378 = 9,300\cdot2^{(t/3)}}[/tex]
3. Divide both sides by 9,300:
[tex]\displaystyle\mathsf{\longrightarrow \frac{93,378}{9,300} = \frac{9,300\cdot2^{(t/3)}}{9,300}}[/tex]
[tex]\displaystyle\mathsf{\longrightarrow 10.07936840 = 2^{(t/3)}}[/tex]
4. Transform the right-hand side of the equation into logarithmic form.
[tex]\boxed{\displaystyle\mathsf{\underbrace{ x = a^y}_{Exponential\:Form} \longrightarrow \underbrace{y = log_a x}_{Logarithmic\:Form}}}[/tex]
[tex]\displaystyle\mathsf{\longrightarrow 10.07936840 = \bigg[\:\frac{t}{3}\:\bigg]log(2)}[/tex]
5. Take the log of both sides of the equation (without rounding off any digits).
[tex]\displaystyle\mathsf{log(10.07936840) = \bigg[\:\frac{t}{3}\:\bigg]log(2)}[/tex]
[tex]\displaystyle\mathsf{\longrightarrow 1.003433319 = \bigg[\:\frac{t}{3}\:\bigg]\cdot(0.301029996)}[/tex]
6. Divide both sides by (0.301029996).
[tex]\displaystyle\mathsf{\frac{1.003433319}{0.301029996} = \frac{\bigg[\:\frac{t}{3}\:\bigg]\cdot(0.301029996) }{0.301029996}}[/tex]
[tex]\displaystyle\mathsf{\longrightarrow 3.3333333 = \frac{t}{3}}[/tex]
7. Multiply both sides of the equation by 3 to isolate "t."
[tex]\displaystyle\mathsf{(3)\cdot(3.3333333) = \bigg[\:\frac{t}{3}\:\bigg]\cdot(3)}[/tex]
[tex]\boxed{\displaystyle\mathsf{t\approx10}}[/tex]
Hence, it will take about 10 hours for the population of bacteria to increase to 93,378.
__________________________________
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Which of the following are exterior angles? Check all that apply.
The exterior angles in the given triangle are angles 4 and 5.
What are the exterior angles?
The given shape is a triangle. A triangle is a three-sided polygon that has angles that sum up to 180 degrees. The exterior angle is the angle that is formed when a line is extended from the next side and the other side of the triangle. Simply put, it is the angle that is not inside the triangle.
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A cone has a height of 8 yards and a radius of 3 yards. What is its volume?
Use ≈ 3.14 and round your answer to the nearest hundredth.
cubic yards
Submit
Yea
The volume of the given cone.
Solution:[tex]\large\boxed{Formula:V= \frac{1}{3}\pi{r}^{2}h}[/tex]
[tex]\large\boxed{\red \pi \red = \red 3 \red . \red 1 \red 4}[/tex]
Let's solve!
Substitute the values according to the formula.
[tex]V= \frac{1}{3}×3.14×{3}^{2}×8[/tex]
[tex]\large\boxed{V= 75.36 \: {yd}^{3}}[/tex]
Therefore, the volume of the given cone is 75.36 cubic yards.
Help please and thank you
Answer: 9
Step-by-step explanation:
By the geometric mean theorem, [tex]\frac{x}[6} =\frac{6}{4} \longrightarrow x=\left(\frac{6}{4} \right)(6)=\boxed{9}[/tex]
Find the solutions of each equation on the interval
(SHOW WORK)
im not in collage but I'll try ok so its most likely
Factor then solve to find the complex solutions.
x=2πn, for any integer n
if i was right could i get brainly?
A rectangle measures 12 m by 14 m. If the width is decreased by 3 m and the length is increased by 4 m, how much would the area change?
Answer:
6 m²
Step-by-step explanation:
Original area :
12 × 14 = 168 m²
New area :
(12-3) × (14+4) =
9 × 18 = 162 m²
168 - 162 = 6
Area would change by 6 m²
The ratio of the one leg of
the right triangle to the other
leg of the right triangle must
be 8:7. Determine the
greatest length of one leg of
the right triangle given the
other leg of the right triangle
is 10.5 feet.
Answer:
12 ft
Step-by-step explanation:
We assume right triangle ABC with the right angle being at B. We are given that the ratio of AB/CB = 8/7, and one leg is 10.5. Let's call the other leg is X. We don't know which leg is which so assume both. Then
(a) assume the X leg is the longer
8 / 7 = X / 10.5
(8 * 10.5) / 7= X
X = 12
OR (b) assume the X leg is the shorter
8/7 = 10.5 / X
(8X / 7) = 10.5
8X = 10.5 * 7
8X = 73.5
X = 9.1875
(a) is the greater so (a) wins
Determine the cardinality of each set.
(a) {5, 1, 4, {6, 7, 8, ...}}
(b) {ø}
(c) {{{6, 7}}}
The cardinality of a set refers to the number of elements in the set. It is found by counting the elements in the set.
What is cardinality of a set?The cardinality of a set refers to the number of elements in the set. To obtain the cardinality, we have to count the elements in the set.
a) There are 6 elements in this set hence the cardinality is 6.
b) There is only one element in the set hence its cardinality is 1.
c) There are two elements in the set hence the cardinality is 2.
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If F(x) = x-3, which of the following is the inverse of F(x)?
O A. F1(x) = x+ 3
B. F¹(x) = 3x
OC. F¹(x) = x-3
OD. F¹(x) = 3-x
Answer:
3-x is the inverse of f(x)=x-3
Find the area of the circle. A circle has a diameters of 17 centimeters. Pi value is 3.142
Answer:
Area of the circle = 227.0095 cm^2
Step-by-step explanation:
Given:
Diameter (D) = 17 cmπ = 3.142To Find:
Area of the circle
Soln:
We know that,
Area of the circle: πr²
where:
π = 3.142r = radiusBut we don't know the radius,as the diameter is given.We could use the formula of diameter & plug the value of it do find the radius.
We know that,[tex] \rm \: Diameter = 2(r)[/tex]
Where
r = radiusSubstitute the value of Diameter:
Diameter = 2r
17 = 2r
17/2 = r
8.5 = r
r = 8.5
Now we got the radius, so substitute radius onto the formulae:
Area of the circle = πr²Ar(circle) = π(8.5)²Ar(circle) = 72.25π(Answer in terms of π)Ar(circle) = 72.25 * 3.142Ar(circle) = 227.0095 cm^2[tex]\text{Area of circle} = \pi\cdot \text{Radius}^2\\\\\\~~~~~~~~~~~~~~~~~~=\pi~ \left( \dfrac{\text{Diameter}}2 \right)^2\\\\\\~~~~~~~~~~~~~~~~~~=3.142 \left(\dfrac{ 17}2 \right)^2\\\\\\~~~~~~~~~~~~~~~~~~=227.0095~ \text{cm}^2[/tex]
I need help asap!!!!!!!!!
I need help with 7 and 4 and 9 also 10
I will give the most higher points I got
Choose the correct answer below:
A- A rate is just a different name for a ratio. The terms are interchangeable
B-a rate refers to the reduced form of a ratio
C-rates are a special type of ratio that always have a 1 in the denominator
D- rates are a special type of ratio used to compare different kinds of quantities
Answer:
C
Step-by-step explanation:
The answer would have to be C cus it can't be A or D
Which measure of central tendency is the most affected by outliers
Median
Mean
Midrange
Mode
(Is it the mean or midrange?)
Mean measure of central tendency is the most affected by outliers. Then the correct option is B.
What is Mean?The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean. The normal is alluded to as the number-crunching mean. It's the proportion of the number of genuine perceptions to the absolute number of perceptions.
Mean measure of central tendency is the most affected by outliers.
Then the correct option is B.
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Given f(x) = x² + 4x - 3, find f(-3)
O -3
O -6
O 0
O 18
Answer:
f(-3) = -6
Step-by-step explanation:
f(x) = x^2 + 4x - 3
f(-3) means to put -3 in place of x and then do the calculation.
f(-3)
= (-3)^2 + 4(-3) - 3
= 9 - 12 - 3
= -3 - 3
= -6
First square -3, its 9. Then multiply -3 and 4, that's -12. Then add everything.
f(-3) = -6
I need the answer please
The graphed cosine function can either be:
cos(x + pi) or cos(x - pi).
Which is the equation of the graphed function?
We know that this function is a cosine function with a phase shift, so the general form is:
f(x) = cos(x + P).
Where P is the phase shift.
In the graph we can see that when x = 0, f(0) = -1
And we know that cos(pi) = -1 = cos(-pi)
Then we must have that:
f(0) = cos(P) = -1
By what we wrote above, we know that P can be either -pi or pi (because of the parity of the cosine). Let's say that P = pi, then the cosine function is:
f(x) = cos(x + pi).
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describe in detail how you would create a number line with the following points:3, 2.25, the oppisite of 4 and- (-1 1/2). please be sure to describe on which tick marks each point is plotted and how many tick marks are between each iteger. it may help for you to draw this number line by hand on a sheet of paper pls answer NO WRONG ANSWERES
Answer:
here man that's the answer
How do I complete this?
Answer + Step-by-step explanation:
CE bisects AB
CE ⊥ AB
Then
CE is the perpendicular bisector of AB.
Therefore
CA = CB and DA = DB
…………………………………
we have :
CA = CB
DA = DB
CD is a common side of the two triangles ACD and BCD
Hence , ΔACD ≅ ΔBCD
⇒ ∠CAD ≅ ∠CBD.
what percentage of 2m is 40cm
Answer:
20%
Step-by-step explanation:
the units of measure must be the same, so
2m = 2 × 100 cm = 200 cm
then
[tex]\frac{40}{200}[/tex] × 100%
= 0.2 × 100%
= 20%
Answer:
20%
Step-by-step explanation:
2 m = 200 cm We are required to find: what percentage of 2m is 40cm.Required percentage [tex]=\frac{40}{200}\times 100[/tex]Required percentage [tex]=\frac{4000}{200}[/tex]Required percentage [tex]=20%[/tex]find x
give your answer to 3 significant fingers
Answer:
1.64
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
6.6^2 + x^2 = 6.8^2
43.56+x^2=46.24
Subtract 43.56 from each side
x^2 = 46.24-43.56
x^2 =2.68
Take the square root of each side
sqrt(x^2) = sqrt(2.68)
x =1.637080554
To 3 significant digits
x = 1.64
Answer:
Step-by-step explanation:
x = 1.637 mm
Pythagorean theorem:We can use Pythagorean theorem, to find the unknown side for a right angled triangle.
The side opposite to 90 is the longest side and it is the hypotenuse.
Base² + altitude² = hypotenuse²
x² + 6.6² = 6.8²
x² + 43.56 = 46.24
x² = 46.24 - 43.56
x² = 2.68
x = √2.68
[tex]\sf \boxed{\bf x = 1.637 \ mm }[/tex]
Find the volume of the sphere. Round your answer to the nearest tenth.
Answer:
Step-by-step expiation : 5575.3
What is the sum of the first 40 positive odd integers?
Answer:
1600
Step-by-step explanation:
[tex]\text{Number of terms}, ~n = 40\\\\\text{Sum of n odd integers} = n^2 = 40^2 = 1600[/tex]
Erica earned a total of $67,250 last year from her two jobs. The amount she earned from her job at the store was $1,250 more than three times the amount she earned from her job at the college. How much did she earn (in dollars) from her job at the college?
Step-by-step explanation:
x = earnings from the store
y = earnings from the college
x + y = 67,250
x = 3y + 1,250
now we use the identity of the second equation in the first equation :
(3y + 1,250) + y = 67,250
4y = 66,000
y = $16,500
x = 3y + 1,250 = 3×16,500 + 1,250 = 49,500 + 1,250 =
= $50,750
sally has 10 pounds she wants to buy 28 cans of soda which cost 26p each. how much money does she spend and does she have enough
Answer:
she will need 728 pounds to buy 28 cans but she only has 10 pounds so she doesn't even have enough for 1 can of soda
Leonardo, who is married but files separately, earns $80,000 of taxable income. He also has $15,000 in city of Tulsa bonds. His wife, Theresa, earns $50,000 of taxable income.
If Leonardo and his wife file married filing jointly in 2021, what would be their average tax rate?
When Leonardo and his wife file married filing jointly in 2021, the average tax rate will be 15.63 percent
What is the tax rate about?In the question above, Leonardo's taxable income = $80,000
Theresa's taxable income = $15,000
Total taxable income for both of them will be:
$ 80,000 + $ 50,000 = $ 130,000
When you make use of the Schedule Y-1,
The amount of the tax on total income shall be said as:
Tax liability = $9,086 + (($130,000 - $78,950) * 22%)
= $9,086 +($51,050 * 22%)
= $9,086 + $11,231
= $ 20,317
To get the Effective tax rate, it will be:
= tax liability / Total taxable income Effective tax rate
= [tex]\frac{20,317}{30000}[/tex] that is also written as $20,317/ $130,000
So, the average tax rate is = 15.63%
Therefore, the average tax rate will be = 15.63 percent
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the number of keys on the keyring minus 2
Translating the given phrase into a variable expression is equal to k - 2.
What is a variable expression?A variable expression refers to a mathematical equation which can be used to show the relationship that exist between a numerical quantity and a variable.
Next, we would translate the given phrase into a variable expression as follows:
Let the number of keys on the keyring be k.
Therefore, the variable expression is equal to k - 2.
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Complete Question:
Translate the phrase into a variable expression. Use the letter k to name the variable. If necessary, use the asterisk (*) for multiplication and the slash (/) for division.
The number of keys on the keyring minus 2?