A. What are the approximate coordinates of the point of intersection of the two
graphs? What does this mean in terms of the two mold populations?
B. The area of mold A is given by the function Ad) = 100 -0.25 .When will this
mold cover 1000 square millimeters? Explain your reasoning.
Answers
The two mold populations are equal after 4.5 years and the number of days is 9.2
Calculating the approximate coordinates of intersectionFrom the question, we have the following parameters that can be used in our computation:
The graph
On the graph, we have the point of intersection to be
(x, y) = (4.5, 3)
The means that the two mold populations are equal after 4.5 years
Estimating when the moid will cover 1000 sq mlGiven that
A(d) = 100e⁰.²⁵ᵇ
We have
100e⁰.²⁵ᵇ = 1000
Divide by 100
e⁰.²⁵ᵇ = 10
So, we have
0.25d = ln(10)
Evaluate
0.25d = 2.3
Divide
d = 9.2
Hence, the number of days is 9.2
Read more about exponential functions at
https://brainly.com/question/2456547
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Related Questions
(6 1/4)^4
Answer fast or i will report you
Answers
Answer:6
Step-by-step explanation: The rules of exponential says (a^x)^y=a^xy.
Therefore you will multiply 1/4 with 4 to get an exponent of 1. So the answer is 6^1 which is also written as 6
functions f and g are defined as
f(x) = 5x² - 10x + 7
where x > 1
g(x) = 7x - 6
Find fg(2)
Answers
Explanation:
When dealing with composite functions, we start with the right hand function first then apply our way to the left hand side.
1) First equate g(2)
2) Equate the function f of your answer you found in g(2)
1) 7(2) - 6
2) 14 - 6
3) 8
4) f(8) = 5(8)^2 - 10(8) + 7
5) f(8) = 320 - 80 + 7
6) f(8) = 247
Hope this helps, brainliest would be appreciated :)
2. Apply the laws of indices and simplify. h)
[tex]3 \sqrt{x {?}^{2} {y}^{2} } [/tex]
Answers
Answer:
sub to the students notice the best of luck in life is good and u don't know what to do
Which expression can be used to convert 80 dollars (USD) to Australian dollars (aud) 1 USD=1.0343 AUD 1 AUD 0.9668 USD
Answers
Answer: [tex]1\ \text{USD}\equiv 1.35\ \text{AUD}[/tex]
Step-by-step explanation:
1 USD is equivalent to 1.35 AUD
Therefore, 80 USD is equivalent to
[tex]\Rightarrow 80\ \text{USD}\equiv 80\times 1.35\\\\\Rightarrow 108\ \text{AUD}[/tex]
given that f(m) = m/2, find m
Answers
Answer:
let f(m) = u
multipling both sides by 2
We have 2f(m)=m
therefore m=2
I neeeddddd helppppp!!!! It’s urgentttttt
Answers
Answer:
R theta 1 = 20 x
R theta 2 = 11 x - 6
R ( theta 1 + theta 2) = 31 x - 6 adding equations
R pi = 31 x - 6 since theta 1 + theta 2 = 180 deg
x = (R pi + 6) / 31
This equation depends only R
If one lets R be one then x = (pi + 6) / 31
This would give x = .29489 rad for the value of pi is deg
The numerical value of x appears to depend on the value of R
Determinar la altura de una antena que, A cierta hora del día,Arroja una sombra de 2.85 m, En ese preciso momento Marta que Mide 1.65 m Proyecta una sombra de 1.16 m
Answers
Answer:
La altura de la antena es 4.054 metros.
Step-by-step explanation:
La altura del objeto es perpendicular a la longitud de la sombra, tanto el triángulo rectángulo de la antena como el triángulo rectángulo de Marta son semejantes. La altura de la antena se determina mediante la siguiente relación:
[tex]\frac{h}{l} = \frac{H}{L}[/tex] (1)
Where:
[tex]h[/tex] - Altura de Marta, en metros.
[tex]l[/tex] - Longitud de la sombra de Marta, en metros.
[tex]L[/tex] - Longitud de la sombra de la antena, en metros.
[tex]H[/tex] - Altura de la antena, en metros.
Si sabemos que [tex]h = 1.65\,m[/tex], [tex]l = 1.16\,m[/tex] y [tex]L = 2.85\,m[/tex], entonces la altura de la antena es:
[tex]H = h\cdot \left(\frac{L}{l} \right)[/tex]
[tex]H = 1.65\,m \times \left(\frac{2.85\,m}{1.16\,m} \right)[/tex]
[tex]H = 4.054\,m[/tex]
La altura de la antena es 4.054 metros.
x+y=4
x-2y=-5
If the first equation is multiplied by 2 and then the equations are added, the result is
=3
3 = 13
o3х=3 3
Answers
Answer:
3x = 3
Step-by-step explanation:
x + y = 4 × 2
= 2x + 2y = 8
2x + 2y = 8 + x - 2y = -5
3x = 3
If (3+√5)(4-√5)=a+b√5, where a and b are integers, then what is the value of a + b?
Answers
So, if a and b are integers, a=2 and b=3
what is 15 out of 24 as a percent?
Answers
By visual inspection, determine the best-fitting model of the three types of regression for the data plot below.
A. Quadratic
B. Exponential
C. Linear
D. None of the above
Answers
Answer:
B. exponential
Step-by-step explanation:
The graph is clearly decreasing exponentially, shown by the downward curve. Therefore, the answer should be B.
1. Find 3 equivalent fraction for the following: a) 5/6 b) 7/11 c) 9/7
Answers
Answer:
Step-by-step explanation:
To find equivalent fractions, multiply the numerator and the denominator by the same table.
a) 5/6
[tex]\frac{5*2}{6*2}=\frac{10}{12}\\\\\frac{5*3}{6*3}=\frac{15}{18}\\\\\frac{5*4}{6*4}=\frac{20}{24}[/tex]
b) 7/11
[tex]\frac{7*3}{11*3}=\frac{21}{33}\\\\\frac{7*4}{11*4}=\frac{28}{44}\\\\\frac{7*5}{11*5}=\frac{35}{55}[/tex]
c)9/7
[tex]\frac{9*2}{7*2}=\frac{18}{14}\\\\\frac{9*5}{7*5}=\frac{45}{35}\\\\\frac{9*10}{7*10}=\frac{90}{70}[/tex]
4(2-3-1)+-5(6)--7to the power of 2
Answers
[tex]\\ \sf\longmapsto 4(2 - 3 - 1) + ( - 5)(6) - 7 {}^{2} \\ \\ \longmapsto 4( - 2) + ( - 30) - 7 {}^{2} \\ \\ \sf\longmapsto - 8 - 30 - 49 \\ \\ \sf\longmapsto - 38 - 49 \\ \\ \sf\longmapsto - 87[/tex]
Convert
4 feet to inches
5 kilometers to meters
6 quarts to gallons, and
2,000 grams to kilograms
Answers
Answer:
1. 4ft=48inches
2. 5km=5,000m
3. 6 quarts=1,5 gallons
4. 2,000 grams=2km
Step-by-step explanation:
1. To convert feet to inches, multiply the number (4) by 12.
2. 1 Kilometer (km) is equal to 1000 meters (m). To convert kilometers to meters, multiply the kilometer value by 1000.
3. divide the volume value by 4
4. To convert grams to kilograms, you divide the number of grams you have by 1000
4 feet = 48 inches
5 kilometers = 5,000 meters
6 quarts = 1.5 US gallons
2,000 grams = 2 kilograms
On a unit Circle, the terminal point of 0 is (sqrt3/2, 1/2) what is 0?
Answers
This is a point, so it has x- and y-coordinates. Both of these coordinates are positive, therefore the point must be in the first quadrant.
The pattern for the points on a unit circle is 3 - 2 - 1 starting at 0 and up to pi/2. The pattern for the radian denominators on a unit circle is 6 - 4 - 3 starting at 0 and up to pi/2.
(sqrt(3) / 2, 1/2) = pi / 6 radians
Hope this helps!
Answer:
A. pi/6 radians
Step-by-step explanation:
The ratio of the lengths of the sides of a 30-60-90 triangle is
1/2 : sqrt(3/2) : 1
sin theta = opp/hyp
tan theta = 1/2 / 1
tan theta = 1/2
theta = pi/6 radians
Answer: A. pi/6 radians
Find the square root of 167281 by division method
Answers
Answer:
square root of 167281 is 409
Here's the Step-by-step explanation using division:
If the length of the shorter arc AB is 22cm and C is the center of the circle then the circumference of the circle
is:
Answers
Answer:
22= 2(pi)(r)(45/360)
28.01
C=176
Step-by-step explanation:
(PICTURE) please answer whatever you can Its really urgent
Answers
Step By Step Explanation:
I answered myself
This year, a small business had a total revenue of $42,900 . If this is 35% less than their total revenue the previous year, what was their total revenue the previous year?
Answers
if this value 35% less than the total, we conclude that:
42,900 = 65%
1% = 660
100% = 66,000
if you want to check the value, just do 65% of 66000, which equals to 42,900
hope it helps :)
50 POINTS. For what value of the variable is the value of the expression is -3(2x+1) is 20 greater than the expression 8x+5? Please answer correctly, don't show your work, just give the correct answer.
Answers
Answer:
my x is ;
x= -0.6205
this is because for the first equation to be equal to the second equation we need to multiply the second equation with 20
1 21.1.1 Study: Characteristics of Ecosystems
A population of Clark's nutcrackers like this one lives in a forest on a mountainside in
Colorado. Which two characteristics of this group of birds make it a population?
A. They live in the same area.
B. They have the exact same genes.
C. They are offspring of the same parents.
D. They belong to the same species.
Answers
Answer:
The two populations living habitats are different. Also they are only similar not the same. Although the physical features may look the same, the actual species may be totally different. :)
Step-by-step explanation:
Which of the following is the inverse of F(x) = -2x + 3?
Answers
Answer:
D
Step-by-step explanation:
y=-2x+3
y-3=-2x, x=(3-y)/2. f^(-1) (x) = (3-x)/2. The equation is (3/2)-x/2.
Answer:
c
Step-by-step explanation:
If [ -2 5 7 6] and |B| = -|A|, which matrix is matrix B?
Answers
|A| and |B| denote the determinants of the matrices A and B.
We have
[tex]|A| = \begin{vmatrix}-2&5\\7&6\end{vmatrix} = (-2)\times6-7\times5 = -12 - 35 = -47[/tex]
Then B is a matrix such that |B| = -|A| = +47.
The only choice satisfying this is C, since
[tex]\begin{vmatrix}12&1\\13&5\end{vmatrix} = 12\times5-13\times1 = 60 - 13 = 47[/tex]
<6 and <7 can be classified as?
a. vertical angles
b. alternate interior angles
c. same side interior angles
d. alternate exterior angles
Answers
Answer:
A. vertical angles
Vertical angles are supplementary angles when the lines intersect perpendicularly
determine the equation of a perpendicular line to y= -3/5x + 14, y-intercept 8
Answers
9514 1404 393
Answer:
y = 5/3x +8
Step-by-step explanation:
The slope of the perpendicular line is the opposite reciprocal of the slope of the given line. The given slope is -3/5, so the perpendicular slope is ...
-1/(-3/5) = 5/3
That and the given y-intercept can be put into the slope-intercept equation ...
y = mx + b . . . . . line of slope m and y-intercept b
y = 5/3x + 8
A stock lost 8 3/8 points on Monday and then another 1 5/8 points on Tuesday. On Wednesday, it gained 13 points. What was the
net gain or loss of the stock for these three days?
Answers
Answer:
The stock in last three days has a net gain of 3.
Step-by-step explanation:
The net change of the stock is the sum of daily changes in last three days. Please notice that positive sign means means for gain, whereas negative one is for loss. Based on information given on statement, we determine the net change in the stock:
[tex]x = -\left(8 + \frac{3}{8} \right)-\left(1+\frac{5}{8} \right) + 13[/tex]
[tex]x = 3[/tex]
The stock in last three days has a net gain of 3.
Find the value of x.
Answers
Answer:
A - 55 degrees
Step-by-step explanation:
secant-tangent angle: 1/2(larger-smaller)
1/2(180-70)
1/2(110)
55 degrees
PLEASE HELP!! WILL MARK BRAINLIEST
Answers
Answer:
x = 25/2
y = 5
Step-by-step explanation:
The angles are corresponding angles and corresponding angles are equal when the lines are parallel
4x+8y = 18y
We also know that 18y +90 = 180 since they form a straight line
18y +90 = 180
Subtract 90 from each side
18y+90-90=180-90
18y = 90
y =5
Now we can solve for x
4x+8y = 18y
4x+8y-8y = 18y-8y
4x = 10y
Since y = 5
4x = 10(5)
4x = 50
4x/4 = 50/4
x = 25/2
x = 50/4
find the slope of a line perpendicular to y=-2/3x+4/5
Answers
In this case, it’s just 3/2.
If your original slope was 2, then the slope of the perpendicular line would be -1/2.
(x+4)^2-(x+2)(x-2)=20
Answers
⇒x²+ 4² - x²+ 2x - 2x + 4 = 20
⇒ x² - x² + 2x - 2x + 4² + 4 = 20
⇒ 16 + 4 = 20
⇒ 20 = 20
RHS = LHS hence proved
Answered by Gauthmath must click thanks and mark brainliest
Answer:
x = 0
Step-by-step explanation:
(a + b)² = a² +2ab + b²
(a +b)(a -b)= a² - b²
(x + 4)² - (x + 2 )(x - 2) = 20
x² + 2*4 *x + 4² - [x² - 2²] = 20
x² + 8x + 16 - [x² - 4] = 20
x² + 8x + 16 - x² + 4 = 20 {(-1) is distributed x² and (-4)²}
x² - x² + 8x + 16 + 4 = 20 {Combine like terms}
8x + 20 = 20
8x = 20 - 20
8x = 0
x = 0
