Answer:
f(x) = 86(1.04)x; grows approximately at a rate of 0.4% daily
Step-by-step explanation:
The base of the exponential function is 1.29 for 7 days, as in
f(x) = 86*(1.29)^x
The new rate for days can be calculated by dividing x by 7 (where x remains the number of weeks), namely
f(x) = 86*1.29^(x/7)
Using the law of exponents, b^(x/a) = b^(x*(1/a)) = (b^(1/a))^x
we simplify by putting b=1.29, a=7 to get
f(x) = 86*(1.29^(1/7))^x
f(x) = 86*(1.037)^x since 1.29^(1/7) evaluates to 1.037
Rounding 1.037 to 1.04 we get a (VERY) approximate function
Answer:f(x) = 86(1.04)x
Step-by-step explanation:
what is 6(1-10p)-7 jfghhdddcv
Answer:
-1 -60p
hope it helps
Step-by-step explanation:
6 (1-10p) -7
First solve 6(1-10p) using distributive property of subtraction
(6*1)-(6*10p) -7
= 6-60p -7
Add the constants of the equation
= (6-7) -60p
= -1 - 60p
Answer:
-60p-1
Step-by-step explanation:
Well in simplyfying it we can determine that 6*1 is 6 and 6*-10p is -60p
So then the answer is -60p-1.
what graph best shows a positive correlation between the number of hours studied and the test scores ?
A developer purchases 1628 acres of land.She splits it into equal sized plots of 22 acres each.How many plots does the developer create?
Answer:
74 plots
Step-by-step explanation:
74 plots; 1628/22=74 it says that she splits it in EQUAL sized plots of 22 EACH which means that you are trying to find how many 22 acres of plots there is. Therefore you do 1628/22.
Alight is plotted on a map having the scale 1 inch = 400 miles. On the map it is 9 % inches from point A to point B. If a plane flies this distant at the speed of 300 mph, how ong will the trip take?
Answer:
12 hours
Step-by-step explanation:
Given
1 inch = 400 miles
1 inch = 400 miles
multiplying LHS and RHS by 9
1*9 inche = 400*9 miles
9 inches = 3600 miles
Given that on map distance from point A to point B is 9 inches
Actual distance will be 3600 miles as calculated above.
we know that
Time = distance / speed
given
speed = 300 mph
distance = 3600 miles
time = 3600 miles/300 mph = 12 hours
Thus, trip will take 12 hours.
On a map, 1 inch equals 9.4 miles. Two houses are 1.5 inches apart on the map. What is the actual distance between the houses? Use pencil and paper. Show how you can represent the scale with two different ratios. What ratio is more helpful for solving the problem? Explain.
Answer:
14.1 I think
Step-by-step explanation:
Answer:14.1
Step-by-step explanation:
A sequence is defined by the recursive formula f(n+) = f(n) -2. If f(1) =18 what is f(5)?
=====================================================
Work Shown:
Plug in n = 1 to find the next term
f(n+1) = f(n) - 2
f(1+1) = f(1) - 2 ... replace every n with 1
f(2) = f(1) - 2
f(2) = 18-2 .... replace f(1) with 18
f(2) = 16
We'll use this to get the next term. Plug in n = 2
f(n+1) = f(n) - 2
f(2+1) = f(2) - 2 ... replace every n with 2
f(3) = f(2) - 2
f(3) = 16 - 2 ... replace f(2) with 16
f(3) = 14
This process keeps going until we reach f(5)
Plug in n = 3
f(n+1) = f(n) - 2
f(3+1) = f(3) - 2
f(4) = f(3) - 2
f(4) = 14-2
f(4) = 12
and finally plug in n = 4
f(n+1) = f(n) - 2
f(4+1) = f(4) - 2
f(5) = f(4) - 2
f(5) = 12 - 2
f(5) = 10
The summary is basically we subtract 2 from each term to get the next term. The sequence is 18, 16, 14, 12, 10 which is arithmetic.
Use the diagram, which is not drawn to scale, to decide which proportions are true.
A
1.
DB
DA
DC DB
II.
BA
CB
CB
BD
DB
DA
CA
BA
BA
CA
IV. BC
BA
I and IV only
b. ll only
C. I and II only
d. I only
Answer:
Answer is C
Step-by-step explanation:
From similar triangles ABC and ABD. DB/BC = DA/BA is the correct proportion.
Given that, ABC is a right triangle and BD drawn perpendicular to AC.
Consider triangles ABC and BCD,
∠C = ∠C (Reflexive property)
∠CBA = ∠CDB (Both measures 90°)
ΔABC similar to ΔBCD
BA/DC = CB/BD = BC/AC
Similarly,
Consider triangles ABC and ABD
∠A = ∠A (Reflexive property)
∠CBA = ∠ADB (Both measures 90°)
ΔABC similar to ΔABD
AB/AC = AD/AB = BD/BC
Therefore, DB/BC = DA/BA is the correct ratio.
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Tammy has $3,500 that she wants to invest in stock. She believes she can earn a 12% annual return. What would be the value of Tammy's investment in 10 years if she is able to achieve her goal?
Answer:
the answer to the following questions is 10870.46873
Danville Street and Belmont Avenue intersect. If the diagonal distance across the intersection is 9.6 meters and Danville Street is 8.1 meters wide, how wide is Belmont Avenue? If necessary, round to the nearest tenth.
Answer:
Width of Belmont Avenue is 5.2 meters
Step-by-step explanation:
We use the Pythagoras theorem to solve the problem
Pythagoras Theorem states that:
Hypotenuse² = Base² + Perpendicular²
Danville Street, Belmont Avenue and their diagonal forms a right angled triangle
In this case, let the base be Danville Street with width of 8.1 meters
Let the hypotenuse be 9.6 meters
We need to find the perpendicular
Put the values in Pythagoras theorem.
9.6² = 8.1² + perpendicular²
perpendicular² = 9.6²-8.1²
perpendicular² = 92.16 - 65.61
perpendicular² = 26.55
take square root on both sides
perpendicular =5.153
Round of to nearest 10th
Perpendicular = 5.2 meters
Belmont Avenue = 5.2 meters
PLEASE HELP FOR THIS QUESTION
Answer:
[tex]5^{8}[/tex]
Step-by-step explanation:
[tex]5^{2^{3} } =\\5^{8}[/tex]
We get this because we need to cube the first exponent first. (confusing? Reply to my answer)
Answer:
5^8
Step-by-step explanation:
When I multiply the given expression, I get 390625. Then, when I multiply the options, the one that matches that number is 5^8.
Giving brainliest, please answer as soon as possible.
Answer:
Step-by-step explanation:
There are five lines of symmetry in a regular pentagon:
Each going from side midpoint to opposite vertex.
here is a drawing of all of them filled in:
Kristin spent $128 on shirts. Fancy shirts cost $20 and plain shirts cost $10. If she bought a total of 8
shirts, then how many of each kind did she buy?
Answer:
6 Fancy shirts
Step-by-step explanation:
What is the measure of theta
Answer:
B. 3 radians
Step-by-step explanation:
We are given the following components of the circle.
Radius of circle (r) = 4 cm
Length of arc (l) = 12 cm
Lenght of arc of a circle is given by the following formula:
[tex] l = \frac{\theta}{2\pi^c}\times 2\pi r[/tex]
Substituting the values of l and r in the above formula, we find:
[tex] 12 = \frac{\theta}{2\pi^c }\times 2\pi \times 4\\\\
\therefore 12 = \theta \times 4\\\\
\theta = \frac{12}{4}\\\\
\theta = 3 \: radians[/tex]
In the diagram below, points A and B represent two lakes. How far apart are the lakes? 131.5 ft 456.3 ft 474.6 ft 633.9 ft
Answer:
I don't know the answer, but I just took a test and the answers ARE NOT 456.3 and ARE ALSO NOT 474.6
Step-by-step explanation:
The distance between the two lakes = 633.9 ft. So, we take the 4th option.
What is the law of cosines?By the law of cosines, a triangle with sides a, b, and c, and the angle opposite to c being γ,
c = √(a² + b² - 2.a.b.cos γ)
How do we solve the given question?To solve the question, we will use the law of cosines.
Let a = 560 ft., b = 350 ft., c = d (unknown distance).
γ = 160° - 75° = 85°.
We substitute the values in the formula to get,
d = √(560² + 350² - 2(560)(350)(cos 85°)
or, d = √(313600 + 122500 - 392000*0.0871)
or, d = √(436100 - 34165.05116)
or, d = √401934.948842
or, d = 633.983397
So, we take d = 633.9 ft., the 4th option.
∴ The distance between the two lakes = 633.9 ft.
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Which equation is a point slope form equation for line AB?
Oy-2=2(x+2)
Oy-6=-2(x+2)
Oy-2=-2(x+6)
Oy- 2 = -2(x+2)
Answer:
y-6= -2(x+2)
Step-by-step explanation:
A= (-2, 6)
B= (2, -2)
y= mx+b
slope:
m= (y2-y2)/(x2-x1)= (-2-6)/(2+2)= -8/4= -2intercept:
6= (-2)*(-2)+b ⇒ b= 6-4= 2the function is:
y= -2x+2y-2=2(x+2) ⇒ y= 2x+6 - no
y-6= -2(x+2) ⇒ y= -2x +2 - yes
y-2= -2(x+6) ⇒ y= -2x - 10- no
y-2= -2(x+2) ⇒ y= -2x- 2 - no
Tommy can exchange 8 euros for 11 dollars.At this rate, how many dollars can Tommy get with 12 euros?
Answer:
16.50 dollars
Step-by-step explanation:
We can use proportion
8 euros --- 11 dollars
12 euros --- x dollars
x = 12 * 11/8 = 16.5= 16.50 dollars
Answer:
16.5 dollars
Step-by-step explanation:
Let's make a proportion using the following setup.
dollars/euros=dollars/euros
Tommy can get 11 dollars for 8 euros. We don't know how many dollars he can get with 12 euros. Therefore, we can say that he can get x dollars with 12 euros.
11 dollars/8 euros=x dollars/12 euros
11/8=x/12
We want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
x is being divided by 12. The opposite of division is multiplication. Multiply both sides by 12.
12*(11/8)=(x/12)*12
12*11/8=x
12*1.375=x
16.5=x
Tommy can get $16.50 with 12 euros.
Marc had $7.50. He bought toy car for $6.49 how much money does Marc have left
Answer:
7.50 - 6.49 = $1.01 left
Answer:
1.01
Step-by-step explanation:
7.50 - 6.49 = 1.01
If x ≅ y, state the reason why lines p and q are parallel. answers:
Transitive property of parallel lines
Alternate exterior angles converse theorem
Corresponding angles converse theorem
Not enough information is provided
Answer:
lines p and q are parallel because they are kinda the same in every part even the hight.
Answer:
Alternate exterior angles converse theorem.
Step-by-step explanation:
i just know :)
Please help me I need to submit this asap
Answer:
D
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here { a, b ] = [ - 1, 2 ], thus
f(b) = 4 ← from (2, 4 )
f(a) = [tex]\frac{1}{2}[/tex] ← from (- 1, [tex]\frac{1}{2}[/tex] ) , thus
average rate of change = [tex]\frac{4-\frac{1}{2} }{2-(-1)}[/tex] = [tex]\frac{\frac{7}{2} }{3}[/tex] = [tex]\frac{7}{6}[/tex] → D
Explain in words how to use the side lengths of a triangle to determine if the triangle is a right, acute, or obtuse triangle.
basically write the triangle in degree language like this is a acute angle because this is a 70* degree angle and talk more
The parent function f(x) = 5 ^ x has been venically compressed by a factor of one-half shifted to the three units and up two units choose the correct function
Answer:
See the explanation
Step-by-step explanation:
The given function is:
f(x) = 5ˣ
Transformation of a parent function is given by the formula:
g(x) = k · f(x + a) + b
Where
k represents vertical compression if |k| < 1 and k represents vertical stretch of |k| > 1
f(x) shifts left by a units if a>0 and f(x) shift right by a units if a<0
f(x) shift up by b units if b>0 and f(x) shifts down by b units if b<0
In the question it is given:
k = 1/2
Shifts right by 3 units ⇒ a = -3
Shift up by 2 units ⇒ b = 2
Substitute in the formula:
g(x) = (1/2) · f(x - 3) + 2
[tex]g(x) = \frac{1}{2}\cdot5^{x-3}+2[/tex]
Evaluate when a=-6, b= 5, C= -2:
a3 - b + 402
f
Select one:
stion
a. 109
O b. 205
O c. 81
O d. -205
Answer:
c 81
Step-by-step explanation:
The line has a slope of 7/10 and a y intercept of 3/10. Find the equation of the line.
Answer:
y=7/10+3/10
Step-by-step explanation:
Click on the median in this set of data. 15,21,25,63,8
Answer:
the median is 21
Step-by-step explanation:
8 , 15 , 21 , 25 , 63
that is what you have to do you would have to put them in order from least to greatest so then you would see the middle number which is 21
help me help me help me ASAP
Answer:
42
Step-by-step explanation:
The chart shows how many bags have a certain number of sweets (e.g. 3 of the 9 bags have 39 sweets). To calculate how many sweets there are in the 10th bag, set up an equation where [tex]x[/tex] represents the number of sweets in the 10th bag:
[tex]\frac{39(3)+40(2)+41(1)+42(1)+43(0)+44(2)+x}{10}=41[/tex]
41 is the mean, which you get by adding the number of sweets in each bag together and dividing it by the number of bags.
Simplify the equation:
[tex]\frac{117+80+41+42+88+x}{10}=41[/tex]
[tex]\frac{368+x}{10} =41[/tex]
Multiply both sides by 10:
[tex]368+x=410[/tex]
Isolate the variable:
[tex]x=42[/tex]
Answer:
42
Step-by-step explanation:
It's right
Determine whether the triangles are similar. If so, write a similarity statement. answers:: A) The triangles are similar; ΔQRS ∼ ΔTUV. B) There isn't enough information to determine whether the triangles are similar. C) The triangles are not similar. D) The triangles are similar; ΔQRS ∼ ΔVUT.
Answer:
C) The triangles are not similar
Step-by-step explanation:
There are 3 triangle similarity theorems:
If two of the angles are the same, the third angle is the same and the triangles are similar.If the three sides are in the same proportions, the triangles are similar.If two sides are in the same proportions and the included angle is the same, the triangles are similar.We can find the all the angles of both triangles, so we can determine the similarity of these triangles only by first theorem
Angles of ΔQRS:
<Q = 63°
<R = 90°
<S = 180°-63°-90° = 27°
Angles of ΔTUV:
<T=180°-90°-25° = 65°
<U = 90°
<V = 25°
As none of the angles are same, triangles are not similar.
PLEASE HELP
urgent.....
Answer:
Option C.
Step-by-step explanation:
Function f(x) = x², when transformed a new function g(x) is formed.
Let the new function is g(x) = kx²
Since a point (1, 4) lies on the new graph g(x),
By satisfying the equation of the new function with the coordinates of the point (1, 4),
4 = k(1)
k = 4
Therefore, transformed function g(x) will be,
g(x) = 4x²
Option (C) will be the answer.
What is the value of log6255?
Answer:
1/4
Brainliest!Step-by-step explanation:
1/4 on my calculator
The value of log 5 to the base 625 is 1/4 .
How to find the value of logarithm with any base value -From the definition of logarithm , we know that if log a to the base b is equal to x , where a, b are non negative integer and x is an assumed positive integer then we have ,
∴ log a to the base b = x
⇒ [tex]a = b^{x}[/tex]
Thus we can take log 5 to the base 625 = x
∴ [tex]5 = 625^{x}[/tex]
From the above equation, we can get the value of x as 1/4
Thus the value of log 5 to the base 625 is 1/4
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Well, Penny, it certainly was an unusual choice to appear
dressed as a leprechaun at Mark's Saint Patrick's Day
wedding.
What is the narrator's most likely point of view?
A. Penny is usually dressed very conservatively.
B. Penny always has creative taste in clothing.
C. Penny was dressed disrespectfully for the occasion.
D. Penny was dressed slightly more unusually than other guests.
Answer:
Pretty sure it is D.
Step-by-step explanation:
How I think the narrator was thinking: I mean, yes, its a wedding on Saint Patricks, but you still need to dress appropriatley (its a wedding)
Penny was dressed slightly more unusually than other guests. This is the narrator's most likely point of view. Therefore, the correct option is option D.
Who is narrator?A storyteller or narrator. The narrator chooses the point of view for the tale in a fictional work. The narrative is considered to be within the first person if the narrator actively participates in the events of the story. A third-person narrative is one in which the narrator is not one of the characters.
The story's narrator chooses the audience's point of view, and this individual is known as the narrator. There's one in every piece of fiction! A figure inside the tale, such as the protagonist, who is narrating it from his own point of view, is one example of the narrator. Penny was dressed slightly more unusually than other guests. This is the narrator's most likely point of view.
Therefore, the correct option is option D.
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Please help with this
Answer:
the answer is A. 99 degrees because 81 + 18 = 99
Answer:
99°
Step-by-step explanation: