Step-by-step explanation:
The correct answer is f(x)=3^(x+3)
I need someone to please explain how to turn this into a simplified fraction. (NOTE: please explain!!) __ 3.541 The repeating sign is only above the 41, not the five
the way to do these recurring decimals is by firstly separating the repeating part or recurring part and then multiply it by some power of 10 so we move it to the left, lemme show
[tex]3.5\overline{41}\implies \cfrac{35.\overline{41}}{10}\qquad \stackrel{\textit{say that the repe}\textit{ating part is }~\hfill }{x = \overline{0.41}\qquad \qquad \textit{so that }35.\overline{41}=35+\overline{0.41}=35+x}[/tex]
now, let's multiply that repeating part by some power of 10 that moves the 41 to the left, well, we have two repeating decimals, 4 and 1, so let's use two zeros, namely 100 or 10², thus
[tex]100\cdot x = 41.\overline{41}\implies 100x - 41+\overline{0.41}\implies 100x = 41+x\implies 99x=41 \\\\\\ \boxed{x =\cfrac{41}{99}}\qquad \qquad \textit{so then we can say that}~~\cfrac{35.\overline{41}}{10}\implies \cfrac{35+\frac{41}{99}}{10} \\\\\\ \cfrac{~~\frac{3506}{99}~~}{10}\implies \cfrac{~~\frac{3506}{99}~~}{\frac{10}{1}}\implies \cfrac{3506}{99}\cdot \cfrac{1}{10}\implies \cfrac{3506}{990}\implies \blacktriangleright \stackrel{\textit{which simplifies to}}{\cfrac{1753}{495}} \blacktriangleleft[/tex]
The distance traveled (in meters) by a frog is modeled by the equation d=2t where d is the distance traveled in meters and t is the time in minutes. Find the distance traveled in 25 minutes.
Given,
d = 2t
here, t = 25
Therefore,
d = 2*25
= 50m
Find the equation of a quadratic function in general form whose graph has points: (-2, 3) (0, 3) and (-4,-5).
Try your best to show complete work & explain your strategy.
Answer:
-x²-2x+3
Step-by-step explanation:
The first thing I noticed is that the first and second point has the same y intercept despite being only 2 x coordiantes away. This must mean that the vertex's x coordiante is probably (-1,4)
Because the vertex is probably (-1,4) the graph must also be concave down because the point (-4,-5) is below it
writing this in vertex form we get
-a(x+1)²+4
Where a is some constant
solve for a by plugging in (0,3)
3= -a(0+1)²+4
3= -a+4
-1= -a
a=1
therefore the equation looks like
-(x+1)²+4
expanding this so that it's in stantard form...
-(x²+x+x+1)+4
-x²-2x+3
which is the final answer
Find the measure of the indicated angle
Answer:
67°
Step-by-step explanation:
Here are the first five terms of a sequence. 4, 11, 22, 37, 56 Find an expression, in terms of , for the th term of this sequence.
Answer:
[tex] a_n = 2n^2 + n + 1 [/tex]
Step-by-step explanation:
4, 11, 22, 37, 56
11 - 4 = 7
22 - 11 = 11
37 - 22 = 15
56 - 37 = 19
After the first difference, 11 - 4 = 7, each difference is 4 more than the previous difference.
Difference of differences:
11 - 7 = 4
15 - 11 = 4
19 - 15 = 4
Since we need the difference of differences to find a constant, this must be a second degree function.
[tex] a_1 = 4 = 2^2 + 1(0)[/tex]
[tex] a_2 = 11 = 3^2 + 2 = 3^2 + 2(1) [/tex]
[tex] a_3 = 22 = 4^2 + 6 = 4^2 + 3(2) [/tex]
[tex] a_4 = 37 = 5^2 + 12 = 5^2 + 4(3) [/tex]
[tex]a_5 = 56 = 6^2 + 20 = 6^2 + 5(4)[/tex]
[tex] a_n = (n + 1)^2 + (n)(n - 1) [/tex]
[tex] a_n = (n + 1)^2 + (n)(n - 1) [/tex]
[tex] a_n = n^2 + 2n + 1 + n^2 - n [/tex]
[tex] a_n = 2n^2 + n + 1 [/tex]
Find the volume of this sphere. Use 3 for pi.
Answer:
radius=16divided by 2
=8
Volume=4÷3πr^3
Volume=4÷3×3×8
Volume=96÷3
Volume=32
what is the maximum value of y=-x^2-x+6 ?
Answer:
[tex]{ \tt{y = - {x}^{2} - x + 6 }} \\ { \tt{ \frac{dy}{dx} = - 2x - 1}} \\ f {}^{'} (x) = - 2x - 1 \\ f {}^{'}(1) = - 2 - 1 \\ = - 3 [/tex]
In the diagram, the length of segment QV is 15 units. What is the length of segment TQ?
Answer:
14 units is the answer
Step-by-step explanation:
^_^^_^^_^^_^^_^
Find the value of cos H rounded to the nearest hundredth, if necessary
Answer:
0.6
Step-by-step explanation:
cos H = GH/FH
FH^2=20^2+15^2
FH^2=400+225=625
FH=25
cos H= 15/25=3/5=0.6
===========================================================
Explanation:
Before we can apply a trig ratio, we need to find the length of the hypotenuse. Use the pythagorean theorem.
a^2 + b^2 = c^2
c^2 = a^2 + b^2
c = sqrt(a^2 + b^2)
c = sqrt(15^2 + 20^2)
c = 25
The hypotenuse is 25 units long, which is the length of segment FH.
Now we can find the cosine ratio
cos(angle) = adjacent/hypotenuse
cos(H) = GH/FH
cos(H) = 15/25
cos(H) = 3/5
cos(H) = 0.6
Use a trigonometric ratio to find the value of x. Round your answer to the nearest tenth.
the ratio of 10:25 in its simplest form?
Answer:
2:5
Step-by-step explanation:
10:25 = 10/25 = 2/5 = 2:5
Answer:
2:5
Step-by-step explanation:
divide both of them by 5
10 divided by 5 is 2
25 divided by 5 is 5
Determine the area of the triangle.
223.6 square units
248.7 square units
447.1 square units
458.4 square units
Answer:
223.6 square units. or 223.569 square units
Answer:A
Step-by-step explanation:I took the test
i need help with this problem can someone help me!!!!
Answer:
x = 3 in
Step-by-step explanation:
From the Pythagorean theorem,
x² = 4²-7²
√(4²-√7²)
= √(16-7)
= √9
= 3 in
Answered by GAUTHMATH
Two particles have positions at time t given by s1=4t-t^2 and s2=5t^2-t^3. Find the velocities
Step-by-step explanation:
Given that,
The positions of the first particle,[tex]s_1=4t-t^2[/tex]
Velocity,
[tex]v_1=\dfrac{ds_1}{dt}\\\\v_1=\dfrac{d(4t-t^2)}{dt}\\\\v_1=4-2t[/tex]
Position,
[tex]s_2=5t^2-t^3[/tex]
[tex]v_2=\dfrac{ds_2}{dt}\\\\v_2=\dfrac{d(5t^2-t^3)}{dt}\\\\v_2=10t-3t^2[/tex]
Hence, this is the required solution.
1. make r the subject of the relation. 2. Find the value of r when s=117, m = 2 and n=-3. m=r-s ÷2nr
Answer:
Hence, the required answers are (i) r= -s/(2nm-1) and r=g.
Step-by-step explanation:
solution: m= r-s/2nr
i) m= r-s/2nr 2) m(2nr) = r-s (i) s=117 ,m=2, n=-3
2) 2xnxmxr= r-s 2) r= -s/(2nm-1)
3) move the "r" on the right to the 2) r= -117/(2x(-3)x2)-16
-2nrm-r= -s
- r(r-2nm-1)= -s 2) r= (-117/-13)=)r=g
- r= -s/(2nm-1)
Hence, the required answers are (i) r= -s/(2nm-1) and r=g.
Solve The inequality
Answer:
D is the correct answer.
Please thank me
Step-by-step explanation:
number of ways you can wear 10 outfits to school each day in a 5 day week
Answer:
1 day=10outfits
5days=10outfits×5
=50outfits
Step-by-step explanation:
hope this is helpful
Based on the calculation, you can wear the 10 outfits in 50 different ways throughout the week.
How to calculate the number of waysTo calculate the number of ways you can wear 10 outfits to school each day in a 5-day week, you need to consider the total number of outfits across all days. Since there are 10 outfits and 5 days, the total number of outfit combinations can be calculated by multiplying the number of outfits per day by the number of days:
10 outfits/day × 5 days = 50 outfit combinations
Therefore, you can wear the 10 outfits in 50 different ways throughout the week.
Learn more about permutations
https://brainly.com/question/4658834
#SPJ2
The owner of a coffee shop compared the amount of hot coffee per day, in fluid ounces, sold and the daily high temp. In degrees f per day, 5.9x+850=
The question is not complete as the scatter plot is missing.
Thus, I have attached the complete question showing the scatter plot.
Answer:
D: On a day with a high temperature of 0°C, the shop can expect to sell about 850 fluid ounces of hot coffee
Step-by-step explanation:
From the attached image showing the question and scatter plot, we can see that the scatter plot is modeled by the line; y = -5.9x + 850
Where;
x is the high temperature in °F
y is the amount of fluid ounces sold
Let's try x = 0°F
Thus;
y = 0 + 850
y = 850 fluid ounces
Let's try x = 10°F
Thus;
y = -5.9(10) + 850
y = 850 - 59
y = 791
This means for every increase in temperature of 10°F, the amount sold is approximately 60 fluid ounces lesser.
Looking at the options in the attached file, the only correct one that corresponds to our answer is option D where it says;. On a day with a high temperature of 0°C, the shop can expect to sell about 850 fluid ounces of hot coffee
Which of the following is an example of an exponential equation?
y=(3x)^2
y=x/2
y=x^4
y=2(3)^x
Answer:
Option D
Step-by-step explanation:
y = 2(3)^x is the example of exponential equation.
Which is expression is equivalent to (x^-4y/x^-9y^5)^-2
Answer:
[tex]\frac{y^8}{x^{10}}[/tex]
Step-by-step explanation:
Given
[tex](\frac{x^{-4}y}{x^{-9}y^5})^{-2}[/tex]
Required
The equivalent
Apply law of indices to the inner bracket
[tex](x^{-4--9}y^{1 -5})^{-2}[/tex]
[tex](x^{5}y^{-4})^{-2}[/tex]
Rewrite as:
[tex]\frac{1}{(x^{5}y^{-4})^2}[/tex]
Expand
[tex]\frac{1}{(x^{5*2}y^{-4*2})}[/tex]
[tex]\frac{1}{(x^{10}y^{-8})}[/tex]
Apply law of indices
[tex]\frac{y^8}{x^{10}}[/tex]
Determine the area of the triangle.
96.0 square units
16.9 square units
192.0 square units
97.5 square units
Answer:
A. 96.0 square units
Step-by-step explanation:
The formula for the area of a triangle when we know the side length of two sides and the measure of an included angle of a triangle is given as:
A = ½*a*b*Sin C
Where,
a = 13
b = 15
C = 80°
Plug in the values into the formula
A = ½*13*15*Sin 80
A = 96.0187559
A = 96.0 square units (nearest tenth)
Answer:A
Step-by-step explanation: I took the test
Find the length of side xx in simplest radical form with a rational denominator.
Answer:
Solution given:
it is a right angled isosceles triangle
so
perpendicular [p]=base[b]=3
hypotenuse [h]=x
we have
by using Pythagoras law
p²+b²=h²
3²+3²=h²
18=h²
h=[tex]\sqrt{18}[/tex]
x=[tex]\bold{3\sqrt{2}}[/tex]
4(1\:-\:2b)\:+\:7b\:-\:10
[tex]4(1\:-\:2b)\:+\:7b\:-\:10[/tex]
Answer:
-6 -b
Step-by-step explanation:
I have attached the explanation above. hopefully this will help you
Which equation could be used to solve for the value of n if n + 2 = 6?
O2 + 6 = n
O 2-6 =n
O 6 +2=n
06-2=n
d
Step-by-step explanation:
6-2=n will be used because when 2 goes to other side then positive sign turns to negative sign
what is the value of the determinant?
Answer:
The value of the determinant is 0.
Step-by-step explanation:
Since it is a 3 x 3 determinant, we can calculate its value by the Law of Sarrus:
[tex]Det = (11)\cdot (98)\cdot (26\cdot y) + (97)\cdot (24\cdot y) \cdot (13) + (22\cdot y) \cdot (12) \cdot (99) - (22\cdot y) \cdot (98) \cdot (13) - (97)\cdot (12) \cdot (26\cdot y) - (11) \cdot (24\cdot y) \cdot (99)[/tex]
[tex]Det = 28028\cdot y + 30264\cdot y + 26136\cdot y - 28028\cdot y - 30264\cdot y - 26136\cdot y[/tex]
[tex]Det = 0[/tex]
The value of the determinant is 0.
What is the volume of the cone to the nearest whole number?
Answer:
the volume of the cone is 60
Step-by-step explanation:
12×5=60
What is the first step in solving the following systrm of equations?
3x + y = 23 and 8x + 2y = 23
A. Substitute the value of y from one equation into the other equation
B. Solve the first equation for y
C. Subtract the second equation from the first equation
D. Substitute the value of x from one equation into the other equation
Hello!
{3x + y = 23 _ {y = 23 - 3x
{8x + 2y = 23 {8x + 2(23 - 3x)
The answer is A.
Good luck! :)
(X, Y) satisfy the equation? JW Is (-94,-5) a solution to the equation y = x + 89? yes no
Answer:
si
Step-by-step explanation:
si :v
Answer:
yes
Step-by-step explanation:
y = x + 89
-5 = -94 + 89
-5 = -5
Simplify the radical (180°.
Answer:
radical is sqrt we find 180 sqrt root
Step-by-step explanation:
first we write sqrt 180
sqrt 180 = ?
we can choose first two letters
18 are two letters
4^2 + 2 = 18
so first + third number choose
4 , 2 are number choose
4 + 2 sqrt (4+2-1)
6 sqrt 5
sqrt 180 = 6sqrt 5
Write a phrase in words to match each expression.
5+3
——
n
Answer:
sum of five and 3 is divided by n