The solution to the function [tex]f(x) = 2\sqrt{x - 2}[/tex] when x = 2 is 0
How to determine the solution?The equation of the function is given as:
[tex]f(x) = 2\sqrt{x - 2}[/tex]
When x = 2, we have:
[tex]f(x) = 2\sqrt{2 - 2}[/tex]
Evaluate the difference
[tex]f(x) = 2\sqrt{0}[/tex]
Evaluate the exponent of 0
f(x) = 2 * 0
Evaluate the product
f(x) = 0
Hence, the solution to the function when x = 2 is 0
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The number of bacteria, B left parenthesis d right parenthesis, in a certain population increases according to the following function, where time, d, is measured in days:
B(d)= 2425e to the power of 0.15 d
How many days will it take for the bacteria to reach 3,700?
The time taken by the bacterias to reach 3,700 will be 2.81 days.
What will be the time?
It is given in the question that:-The the number of bacteria, B left parenthesis d right parenthesis, in a certain population increases according to the following function, where time, d, is measured in days:
[tex]B(d)=2425\ e^{0.15d[/tex]
[tex]3700= 2425\ e^{0.15d}\\\\\\e^{0.15d}=\dfrac{3700}{2425}\\\\\\0.15d=ln\dfrac{3700}{2425}\\\\\\[/tex]
d = 2.81 days
Hence the time taken by the bacteria to reach 3,700 will be 2.81 days.
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Which of the following graphs could be the graph of the function f(x)=0.003x^2(x^2-25)?
Answer:
See below
Step-by-step explanation:
You don't give any options, but here's the information you can get from just the equation itself:
Since your polynomial is a 4th-degree polynomial, I would expect to see 3 turning points at most. I would also expect to see zeroes at x=0, x=5, and x=-5Look for these characteristics and find the appropriate graph.
a girl saved $13.50 in 6 weeks. at that rate, how long will it take to save $108?
Answer:
48 weeks to save $108
Step-by-step explanation:
$13.50 = 6 weeks so dividing both sides by 6 would find out how much each week
$13.50 / 6 = 6 / 6 weeks
$2.25 = per week
so $2.25 times _____ = $108
2.25x = 108 divided both side by 2.25 to get x alone
x is defined by the number of weeks
2.25x / 2.25 = 108 / 2.25
x = 48 $2.25 times 48 = $108
2. The annual cost of science club membership is $ 95. The cost
increases by $20 every year. How much will it cost in 9 years?
Answer:
275
Step-by-step explanation:
20 x 9 = 180
180 + 95 = 275
math hw 1
The Normal Distribution
pls help me with my homework!!
thanks,
Using the normal distribution, it is found that the desired measures are given by:
a. Z = -0.67.
b. X = 2.2.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.In item a, we have that [tex]X = 36, \mu = 40, \sigma = 6[/tex], and want to find Z, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{36 - 40}{6}[/tex]
Z = -0.67.
In item b, we have that [tex]\mu = 1.3, \sigma = 0.6, Z = 1.5[/tex], and want to find X, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.5 = \frac{X - 1.3}{0.6}[/tex]
X - 1.3 = 0.6 x 1.5
X = 2.2.
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need help asap please
Answer:
The radius of the circle r=12.
The area of a circle is 144π.
Step-by-step explanation:
The radius of the circle is r where 2πr=24π, r=12.
The area of a circle with radius 12 is
A=πr², A=π12², A=144π.
PLEASE HELP I BEG YOU! IF I DONT FINISH MY CLASS TODAY I HAVE TO MOVE SCHOOLS
A printing service charges a set-up fee of $11.00 for each order and 15 cents more for each copy. The total cost, c (in dollars), for an order of x copies is given by the following function.
C(x)=11.00+0.15x
What is the total cost for an order of 40 copies?
Answer:
$17 ( 17 USD )
Step-by-step explanation:
C(x)=11.00+0.15x
40 copies:
C(40) = 11+0.15(40)
C(40) = 11+6
C(40) = $17
Therefore, the total cost for an order of 40 copies is $17.
Hope this helps!!!
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P.S. I guess you don't have to change schools now?
A rectangular patio is 9 ft by 6 ft. when the length and width are increased by the same amount, the area becomes 88 sq ft. ginger is using the zero product property to solve the equation (6 x)(9 x) = 88. what does the value of x in her solutions represent? one possible length and one possible width two possible amounts for the widths two possible amounts for the lengths two possible amounts by which the dimensions were changed
The possible value of x is 2, and the possible dimensions are 8 ft by 11 ft
How to determine the value of x?The equation is given as:
(6 + x) * (9 + x) = 88
Express 88 as a product of two factors
(6 + x) * (9 + x) = 8 * 11
Express 8 and 11 as a sum
(6 + x) * (9 + x) = (6 + 2) * (9 + 2)
By comparison, we have:
6 + x = 6 + 2
9 + x = 9 + 2
This means that
x = 2
So, we have:
The possible value of x is 2, and the possible dimensions are 8 ft by 11 ft
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Answer: D) two possible amounts by which the dimensions were changed
Step-by-step explanation:
Edg 2022
Identify the initial mount (A) and the growth factor (B) be in each exponential function break into (1+r) where the r is the rate of growth. Give r as a percentage.
y = 1.4 (1.02)
a=
b=
r (as a percentage) =
Please help l don’t understand
Based on the graph given, the two points that need to be plotted are (9, 4) and (7, 3).
How should a graph on Age v. Hours of TV watched be plotted?The points that are already plotted on the graph represent the results of the hours of television watched by children.
For instance, children of 6 years watched 2 hours of television. For that reason, the point where 6 (x axis) and 2 (y axis) meet on the graph is marked with an x.
The last two points would therefore be (9, 4) and (7, 3) to show that 9 year olds watch 4 hours of television and 7 year olds watch 3 hours of television.
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Convert the angle to radians. leave as a multiple of pi.
324 degrees
a.
startfraction 8 pi over 5 endfraction
c.
startfraction 18 pi over 5 endfraction
b.
startfraction 9 pi over 5 endfraction
d.
startfraction 9 pi over 10 endfraction
-5(8a - b) - 2(-6a + 9b)
Need answer plis
The graph shows triangle A B C is congruent to triangle D E F by S A S, where segment C A is congruent to segment F D, segment C B is congruent to segment F E, and angle C is congruent to angle F
Move the statements to the table to create a series of transformations that will map triangle A B C onto triangle D E F to show that the two triangles are congruent.
What is Transformation 1 and. Transformation 2
reflection on x-axis
then translations right 3 units & down 2 units
The terminal arm of an angle drawn in standard position rotates in a positive direction through two quadrants of the coordinate plane, and then rotates an additional 25 degrees. What is the measure of the angle?
A. 205°
B. 215°
C. 155°
D. 25°
HELP!!
The measure of the angle is 205°. Then the correct option is A.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
There are 4 quadrants and each quadrant has a measure of 90° angle.
The fact that the orientation is positive indicates that the arm is moving from the first to the second quadrant.
90° + 90° = 180°
The arm has been in the third quadrant due to the additional 25° rotation.
180° + 25° = 205°
The measure of the angle is 205°.
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A game has a spinner with 15 equal sectors labeled 1 through 15. what is p(multiple of 4 or multiple of 7)? 215 15 25 13
The probability that the spinner is multiple of 4 or multiple of 7 is 1/3
What is probability?Probability is the likelihood or chance that an event will occur, Mathematically;
Probability = expected/total
If a game has a spinner with 15 equal sectors labeled 1 through 15, the total outcome is 15
P(multiple of 4) = 3/15 =1/5
Pr(multiple of 7 )= 2/15
p(multiple of 4 or multiple of 7) = 1/5 + 2/15
p(multiple of 4 or multiple of 7) = 5/15 =1 /3
Hence the probability that the spinner is multiple of 4 or multiple of 7 is 1/3
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Find the measure of exterior angle 1
Need help asap, will give brainliest
how do u solve this equation? ↓
10 = 7 - m
thanksss
Answer:
17
Step-by-step explanation:
10=7-m
m=???
so if you do 10+7 which equal 17 and then do 17-7 you will get ten
m=17
have a good day
Answer:
the answer is -3
Step-by-step explanation:
10 = 7 -m
swap sides so that all the variable terms are on the left hand side
7 - m =10
subtract 7 from both sides
-m + 10 - 7
subtract 7 from 10 to get 3
multiply both sides by -1
m = -3
Solve the system of equations.
5x−4y=−10
−4x+5y=8
Answer:
(- 2, 0 )
Step-by-step explanation:
5x - 4y = - 10 → (1)
- 4x + 5y = 8 → (2)
multiplying (1) by 4 and (2) by 5 and adding result will eliminate x
20x - 16y = - 40 → (3)
- 20x + 25y = 40 → (4)
add (3) and (4) term by term to eliminate x
9y = 0 , thus
y = 0
substitute y = 0 into either of the 2 equations and solve for x
substituting into (1)
5x - 4(0) = - 10
5x - 0 = - 10
5x = - 10 ( divide both sides by 5 )
x = - 2
solution is (- 2, 0 )
In the diagram, the length of segment AB is 10 units and the radius of the circle centered at A is 4 units. Use this to create two unique triangles, each with a side of length 10 and a side of length 4. Label the sides that have lengths 10 and 4.
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. Triangle ABC denotes a triangle with vertices A, B, and C.
The two triangles can be made as shown below, the bigger triangle will be an equilateral triangle with each side measuring 10 units, while the smaller triangle will be an isosceles triangle and the measure of the same length side will be equal to the radius of the circle.
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What does paper folding have to do with exponents?
Answer:
See below
Step-by-step explanation:
If you take a whole sheet of paper and fold it in half, for instance, you will have 2 rectangles. If you fold it in half again, you will get 4 rectangles, and so on. Each time you fold by one-half, you keep doubling the amount of rectangles.
the value of y is directly proportional to the value of x .If y = 124 when x = 8 , what is the value of y when x= - 1/2
Answer:
-7.75
Step-by-step explanation:
[tex]\text{if}\ x = 8 \rightarrow y = 124\\y \propto x\\y = kx\\\\124 = k \times 8 = 8k\\\frac{124}{8} = \frac{8k}{8}\\15.5 = k\\\\\text{We've now found the formula}\\y \propto x\\y = kx = 15.5x\\\\x = -\frac{1}{2} \rightarrow y = ?\\y = 15.5x = 15.5 \times -\frac{1}{2} = -7.75[/tex]
P(Head, Diamond AND Head, Heart) = ?
Using it's concept, it is found that the desired probability is given as follows:
P(Head, Diamond AND Head, Heart) = 1/64.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, for each trial, there are 8 equally as likely outcomes, hence:
P(Head, Diamond) = 1/8.P(Head, Heart) = 1/8.Hence the probability of both outcomes is given by:
P(Head, Diamond AND Head, Heart) = 1/8 x 1/8 = 1/64.
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What is the best estimate of the area of the figure on the grid if each square has an area of 1 square inch?
O3 square inches
O 5 square inches
O 7 square inches
O9 square inches
Answer: 3 square inches
Step-by-step explanation:
See attached for how I broke the shape up. Since each square is equal to 1 square inch, and the shape is about 3 squares, the answer should be;
O 3 square inches
Please note that different people may estimate differently.
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Solve The equation 1/4t-6=-4
t=
Answer:
t = 8Step-by-step explanation:
Solve The equation 1/4t-6=-4
1/4t - 6 = -4
1/4t = 2
t = 2 * 4
t = 8
-------------------
check
1/4 * 8 - 6 = -4
2 - 6 = -4
-4 = -4
the answer is good
A, B and C lie on a straight line.
Given that angle
y
= 135° and angle
z
= 103°, work out
x
.
Answer:
x = 42
Step-by-step explanation:
a striaght line = 180°
z + y + x = 180
103 + 135 + x = 180
138 + x = 180
subtract 138 from both sides
138 - 138 + x = 180 - 138
x = 42
Answer:
what shape it is
Step-by-step explanation:
wat is the shape
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NEED HELP ASAP!!! 50 POINTS Match the following items by evaluating the expression for x = -6.
x^-2
x^-1
x^0
x^1
x^2
Answer:
x^-2 = 1/36
x^-1 = 1/6
x^0 = 1
x^1 = -6
x^2 = 36
#1
(-6)^-21/(-6)²1/36#2
(-6)^(-1)1/(-6)#3
x^0(-6)⁰1#4
(-6)¹(-6)#5
(-6)²36
Ronald is attending a schoolorchestra concert. He sees his math teacher seated 24 meters
ahead of him and his science teacher seated 10 meters to his right. How far apart are the two
teachers?
Answer:
26 m
Step-by-step explanation:
Use pythag theorem
24^2 + 10^2 = d^2
d= 26 m
help me please i would pay you but i cant
Answer:
-3k + 10
Step-by-step explanation:
you have to combine -8 and 2 because they are like terms, but since -8 is being subtracted from -3k the minus sign and the negative sign basically combine to make a positive sign so it would make it -3k + 8 + 2 which gives you -3k + 10
Answer: Heyaa! ~
Your Answer is... − 3k+10
Step-by-step explanation:
Just Combine the terms! ^Hopefully this helps you! ~