Using exponential function concepts, it is found that it represents a decay of 19.4%.
What is an exponential function?A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.In this problem, the function is:
[tex]A(x) = 5800(0.806)^x[/tex]
Since the rate of change is less than 1, it is a decay.
Then:
1 - r = 0.806.
r = 1 - 0.806 = 0.194.
The function represents a decay of 19.4%.
More can be learned about exponential function concepts at https://brainly.com/question/25537936
4(2a + 3) < 3(a - 1)
Answer:
-3
Step-by-step explanation:
4(2a +3)<3(a - 1)
8a +12 <3a - 3
8a - 3a <-3 - 12
5a<-15
a<15 :5
a<-3
Answer:
Step-by-step explanation:
4(2a+3) =3(a-1)
simplify
8a+12 =3a-3
-12 on the 12 and -3
8a=3a-15
add 15 to the 15 and 8
13=3a
always divide by the variable so 3 divide by 3 and 3 divide by 13
A= 4.3
If 8 superscript y baseline = 16 superscript y 2, what is the value of y?
The value of unknown number y for the equation 8 superscript y baseline = 16 superscript (y+2) is -8.
How to simplify power raised by another number?When the power of a number is raised by another number, then multiply both the powers and the result of this product keep as the power of the number.
Let suppose there is a number a. For this number the above rule can be given as,
[tex](a^m)^n=a^{m\times n}\\(a^m)^n=a^{mn}[/tex]
The expression which consist unknown variable y is given as,
[tex]8^y=16^{y+2}[/tex]
The above equation can be written as,
[tex](2\times2\times2)^y=(2\times2\times2\times2)^{y+2}\\(2^3)^y=(2^4)^{y+2}\\(2)^{3y}=(2^)^{4y+8}[/tex]
As the base of both side of the equation is same. Thus, the value of their exponent can be compared.
[tex]3y=4y+8\\4y-3y=-8\\y=-8[/tex]
Thus, the value of unknown number y for the equation 8 superscript y baseline = 16 superscript (y+2) is -8.
Learn more about the power raised by another number here;
https://brainly.com/question/960886
In triangle dat, m < d = 27, m < a = 105, and t=21. find d to the nearest integer.
Answer:
d = 13
Step-by-step explanation:
Given:
m ∠ d = 27°
m ∠ a = 105°
t = 21°
Look at the picture I posted
Use sine law:
[tex]\mathrm{\dfrac{ sin\:a }{ A } = \dfrac{ sin\:B }{ b }}[/tex]
∠T = 180° - 27° - 105°
∠T = 48°
[tex]\mathrm{\dfrac{ sin\:48\° }{ 21 } = \dfrac{ sin\:D }{ d }}[/tex]
[tex]\mathrm{\dfrac{ sin\:48\° }{ 21 } = \dfrac{ sin\:27 }{ d }}[/tex]
Cross multiply
[tex]\mathrm{{d\:sin\:48\°} = { 21\:sin\:27\°}}[/tex]
Solve for d
[tex]\mathrm{d = \dfrac{ 21\:sin\:27\° }{ sin\:48\° }}[/tex]
Evaluate trigonometric functions in the problem
[tex]\mathrm{d = \dfrac{ 21 \times 0.453990499739547 }{ 0.743144825477394 }}[/tex]
Multiply 21 and 0.453990499739547 to get 9.533800494530487
[tex]\mathrm{d = \dfrac{ 9.533800494530487 }{ 0.74314482547394 }}[/tex]
Divide 9.533800494530487 by 0.743144825477394
[tex]\mathrm{d = 12.828993983}[/tex]
d = 13
Rounded to the nearest integer: 13
Solve for x. 4x - 8 = 2x - 6
Answer:
x=7
Step-by-step explanation:
4x-8=2x-6
4x-2x=-6+8
2x=-14(divide both the sides by 2)
x=7
CAN SOMEONE HELP ME OUT PLEASE AND THANK YOU
Answer:
i think c no is the correct answer
need help with thiss
Hello!
2( 8u² + uv²w -1) + 2( 5u²-v^6) -2( 2v)
= 16u² + 2uv²w -2 + 10u² - 2v^6 -4v
= 2uv²w - 2v^6 + 26u² -4v -2
Pls help me on this problem I’m confused
Answer:
30 × 24 = 720 inches
since there are 12 inches in a foot
720 ÷ 12 = 60
60 feet converted to yards is 20 yards
50 - 20 = 30
they should have 30 yards of string left over
How many and of which kind of roots does the equation f(x) = 2x4 – 9.23 + 1722 – 16x + 6 have?
A. 4 real
OB. 4 real; 4 complex
C. 2 real; 2 complex
OD. 4 complex
Reset Selection
Answer:
D, it admits 4 complex roots
Step-by-step explanation:
Based on what you've written;
f(x) can be rewritten by adding the light terms together as;
f(x)=2x⁴-16x+1768.68
By graphing this function on an app, since i cannot possibly simplify this equation or use a calculator;
we observe that this function does not intersect the x-axis at any point, hence it does not admit any real roots.
So your answer must be D.
ps: Regardless if you forgot any x's in your equation and if f(x) was actually defined by,
f(x)=2x⁴-9.32x³+1772x²-16x+6
This equation also admits 4 complex roots and does not intersect the x-axis
Solve each proportion
Hello.
In order to solve a proportion, you should cross-multiply:
[tex]\displaystyle\frac{7}{x} =\frac{5}{9}[/tex]
Multiply 7 times 9 and 5 times x:
5x=63
Divide both sides by 5:
x=[tex]\displaystyle\frac{63}{5}[/tex]
Now let's solve the second proportion.
Multiply 8p times 6 and 12 times 15:
48p=180
Divide both sides by 48:
p=3.75
I hope it helps.
Have an outstanding day.
[tex]\boxed{imperturbability}[/tex]
If a prime number is greater than 2, it is odd.
TRUE OR FALSE
Answer:
True
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
Which of the following points would be a solution to this system of linear inequalities?
Let's plug in both x and y values in the equation and check if the inequality is true...
[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]
[tex](4,1) \\ y \leqslant x + 1 \\ y < - \frac{x}{2} - 1[/tex]
Substitute x as 4 and y as 1
[tex]1 \leqslant 4 + 1 \\ 1 < - \frac{4}{2} - 1[/tex]
[tex]0 \leqslant 4 + 1 \\ 1 < - 2 - 1[/tex]
[tex]0 \leqslant 5 \\ 1 < - 3[/tex]
This is not a solution because both are not true, Only one equation is giving true as answer which is not correct!~[tex]\purple{ \rule{300pt}{3pt}}[/tex]
[tex](0, - 3) \\ y \leqslant x + 1 \\ y < - \frac{x}{2} - 1[/tex]
Substitute x as 0 and y as -3
[tex] - 3 \leqslant 0 + 1 \\ - 3 < - \frac{0}{2} - 1[/tex]
[tex] - 3 \leqslant 1 \\ - 3 < - 0 - 1[/tex]
[tex] - 3 \leqslant 1 \\ - 3 < - 1[/tex]
This is a solution because both are true, Both the equations are true which means the ordered pair is a solution!~Thus, Option B (0,-3) is the correct choice....
5\6 of 45kg plz can u tell me ans
pls answer both questions for brainliest :)
Step-by-step explanation:
I explained your answer in the sent photo
A shipping box in the shape of a rectangular prism has the volume 15,000 cm3. The length of the box is 30 cm and the width is 25 cm. What is the height of the box?
A. 24 cm
B. 16.7 cm
C. 15 cm
D. 20 cm
Please help
Answer:
D. 20 cm
Step-by-step explanation:
The volume of a rectangular prism is given by the formula ...
V = LWH
__
For the dimensions given, we have ...
15000 cm³ = (30 cm)(25 cm)H
15000/750 cm = H = 20 cm
The height of the box is 20 cm.
Jenna runs 6km per hour, how long would it take her to run 3km
It would take Jenna half an hour, or 30 minutes, to run 3 km.
Hope this helps!
Find the distance between these 2 points: (-4, 5) and (4, 0)
Answer: Length = 9.434
Step-by-step explanation: Input Data :
Point 1
(
x
A
,
y
A
)
= (-4, 5)
Point 2
(
x
B
,
y
B
)
= (4, 0)
Objective :
Find the distance between two given points on a line?
Formula :
Distance between two points =
√
(
x
B
−
x
A
)
2
+
(
y
B
−
y
A
)
2
Solution :
Distance between two points =
√
(
4
−
−
4
)
2
+
(
0
−
5
)
2
=
√
8
2
+
(
−
5
)
2
=
√
64
+
25
=
√
89
= 9.434
Distance between points (-4, 5) and (4, 0) is 9.434
1) someone answer this please
Answer:
x = 15
y = 1
Step-by-step explanation:
Part A: Solve for A
See picture for math work and answer.
There were 6 boys for every 9 girls at Winnsboro High School last year. If there were 480 students at the school, how many were girls and how many were boys?
Answer:
288 girls and 192 boys
Step-by-step explanation:
Ratio of boys to girls is 6:9
So, first find the total parts they are dividied into. 6+9= 15
480/15= 32. So one part has 32 students.
The boys are of 6 parts of 15 (as in the ratio). So 32 x 6= 192 boys.
girls are 32 x 9= 288 girls
they add to 480.
Natasha is measuring the angles of a triangle. She measures the first two angles and gets 60° and 80°. What should be the measure of the third angle? *
1 point
3. If each interior angle of a regular polygon has a measure
of 168.75°, find the sum of the interior angles.
Answer:
2.13333
Step-by-step explanation:
2x180 over 168.75
I AM NOT SURE OF THE ANSWER THO
10) y-5=-5/3(x+3)
A) x-2y = 2
C) 3x - 2y=0
B) 5x + 3y - 0
D) 3x +2y=0
Answer:
A
Step-by-step explanation:
Let's look at this system of equations"
2x - 4y = 20
X = 4
Solve the system using substitution or elimination. Show your work and/or explain your reasoning.
PLEASE HELP ME GUYS IM BEGGING YOU AND PLEASE SHOW ME HOW U DID IT!!!
Step-by-step explanation:
Given,
x = 4
2x - 4y = 20
Now,
2x - 4y = 20
or, 2×4 - 4y = 20
or, 8 - 4y = 20
or, -4y = 20 - 8
or, y = 12/-4
or, y = -3
therefore, y = -3
Answer:
(x,y)=(4,-3)
Step-by-step explanation:
2x-4y=20
x=4
substitute the given value of x into the equation
2×4-4y=20
solve the equation for y
y=-3
A possible solution of the system is the ordered pair
(x,y)=(4,-3)
CHECK SOLUTION!
2×4-4×(-3)=20
4=4
simplyfy the quality
20=20
4=4
since all of the qualities are true, the ordered pair is the solution of the system
(x,y)=(4,-3)
hey hi I hope this helps
If y=tanx-cotx, then dy/dx =
Answer:
dy/dx=sec^2^(x)-(-csc^2(x)
=sec^2(x)+ csc^2(x)
so solution is E
Answer:
e) sec^2x+csc^2x
How to simplify 3²y×3⁴y?
Step-by-step explanation:
please mark me as brainlest
The Art and History Museum offers a family discount card for a donation of $57. I The table shows the price per person with and without the discount card. Child's Ticket (12 & Under) Price without Discount Card Price with Discount Card 58 $15 $12 Adult's Ticket For what number of visits will the total cost of the visits (including the price of the discount card) be less expensive for a family of 2 adults and 1 child if they have purchased the discount card?
Answer:
8 number of visits will be the total cost of the visits (including the price of the discount card) be less expensive for a family of 2 adults and 1 child if they have purchased the discount card
Step-by-step explanation:
Price without Discount Card Price with Discount Card
Ticket (12 & Under) $10 $8
Adult's Ticket $15 $12
Let x be the number of visits
Price without discount card for 2 adults and 1 child ticket
Price without discount for x visits = [tex]x(15 \times 2+ 10)=40x[/tex]
Price with discount for x visits =[tex]57+ x(12 \times 2+ 8)=57+32x[/tex]
Now to find For what number of visits will the total cost of the visits (including the price of the discount card) be less expensive for a family of 2 adults and 1 child if they have purchased the discount card
57+32x< 40x
57<8x
7.1<x
So, 8 number of visits will be the total cost of the visits (including the price of the discount card) be less expensive for a family of 2 adults and 1 child if they have purchased the discount card
Amir wants to buy a new MP3 player that costs $76.50. If he saves $8.50 each week, how many weeks will it take Amir to save enough money to buy the MP3 player? *
After nine weeks Amir would have enough to buy the MP3
It will take Amir 9 weeks to save enough money for the MP3 player
Ahhh I’m stuck on this one please help
Answer:
1.20 ÷ 4 = 0.30 per unit
Please mark as brainliest;)
What additional information do you need to prove triangle NOP is congruent to triangle QSR?
Answer:
D [tex]\angle O\cong\angle S[/tex]
Step-by-step explanation:
[tex]\angle O\cong\angle S[/tex]
Hope it helps you in your learning process.
Graph a line with a slope of -3/4
that contains the point (2,3) ?
Answer:
First place a mark at your point. (x=2, y=3)
Step-by-step explanation:
Now when you look at the -3/4 that is called your rise over run so you will go down 3 and over 4 so your next point will be at (x=0, y=6) and then you connect your dots to make a line.