Answer:
The function is [tex]f(x) = 27(\frac{1}{3})^x[/tex]
Step-by-step explanation:
Compare the y values. Notice that the y values are all multiples of 3 and they decrease by dividing by 3 each time. This suggests the base is 1/3.
Now check when x = 0. This is the initial value since the zero exponent gives an output of 1. So the only way for (0,27) to be a point is for 27 to e multiplied as the initial value. The function is [tex]f(x) = 27(\frac{1}{3})^x[/tex]
What is the distance of segment BF Round to the nearest hundredth.
Answer:
BF ≈ 7.07 cmStep-by-step explanation:
ΔBCE:
Use the Pythagorean theorem:
[tex]EB^2=EC^2+BC^2[/tex]
We have EC = 4cm and BC = 3cm. Substitute:
[tex]EB^2=4^2+3^2\\\\EB^2=16+9\\\\EB^2=25\to EB=\sqrt5\\\\EB=5\ cm[/tex]
BF is the diagonal of the square FEBA. The formula of a diagonal of a square with side a is:
[tex]d=a\sqrt2[/tex]
Therefore
[tex]BF=5\sqrt2\ cm[/tex]
Approximation:
[tex]BF\approx5(1.414)=7.07\ cm[/tex]
How many cubes fit into a rectangle
No one, due to cube is 3D and rectancle 2D
Best regards
What is 77,543 rounded to the nearest ten?
Answer:
77,540
Step-by-step explanation:
Since 3 is less than 4, we round down a ten. This comes out to 77,540.
The Answer Would Be:
77,540
Which of the following fractions is equal to 1/4 A.12/60 B.48/12 C.36/108 D.26/104 E.17/50
The answer is D because if you do 26 divided by 104 then you get .25 which is equivalent to 1/4
The correct choice is D. 26/104
Step-by-step explanation:By the simplification of fractions we get
26 / 104 as 1/4
See the attached figure
If each point in the diagram can act as an endpoint, how many distinct line segments can be formed using the set of points
A. Three
B. Four
C. Five
D. Six
Answer:
Option D 6 is the answer.
Step-by-step explanation:
the given points are A, D, C and B. If each point in the diagram can act as end points, we have to calculate number of distinct line segments formed.
This ca be calculated in two ways.
(1) We will form the line segments
AB, AC, AD, BC, BD, DC
Therefore 6 segments can be formed.
(2) By combination method
Number of segments = [tex]^{4}C_{2}[/tex]
= [tex]\frac{4!}{2!2!}=\frac{4\times 3\times 2\times 1}{(2\times 1)\times (2\times 1)}[/tex]
= [tex]\frac{4\times 3}{2\times 3}=\frac{12}{2}[/tex]
= 6
Option D 6 is the answer.
Answer:
6
Step-by-step explanation:
possible points are:
ad
ac
ab
dc
db
cb
A shipment to a warehouse consist of 4500 MP3 players. The manager chooses a random sample of 50 MP3 players and finds 2 are defective. How many MP3 players in the shipment are likely to be defective?
There are likely approximately 180 defective MP3 players in a shipment of 4,500 units.
The question asks how many MP3 players in a shipment of 4,500 units are likely to be defective given that a random sample of 50 MP3 players found 2 defective ones. To estimate the number of defective players in the entire shipment, we can use proportion. If 2 out of 50 MP3 players are defective, we set up a proportion to estimate the likely number of defectives in the entire 4,500 units.
Assuming the sample is representative of the whole shipment, the proportion would be:
2 (defective in sample) / 50 (sample size) = x (estimated defectives in shipment) / 4,500 (shipment size)
To solve for x, the likely number of defective MP3 players, we cross-multiply and divide:
2 / 50 = x / 4,500
50x = 2 * 4,500
50x = 9,000
x = 9,000 / 50
x = 180
Therefore, using the sample proportion, we would expect there to be approximately 180 defective MP3 players in the shipment.
If the measure of angle 3 =119 degrees,then the measure of angle 6=
I think it’s 61 degrees.
two cars are traveling in the same direction. The first car is going 40 mi/h, and the second car is going 55 mi/h. the first car left 3 hours before the second car. which equation could you solve to find how many hours it will take for the second car to catch up to the first car?
Answer:
8 hours
Step-by-step explanation:
first car: speed=40, time=(t+3), distance=s1
second car: speed=55, time=t, distance=s2
speed=distance/time
distance=speed×time
s1=40×(t+3)
s2=55×t
since the cars would travel the same distance; s1=s2
40(t+3) = 55t
40t+120 = 55t
15t = 120
t=8
Find the average rate of change for f (x)=x2+7x+10 from x=0 to x=2
Answer:
9
Step-by-step explanation:
[tex] average~rate~of~change = \dfrac{f(x_2) - f(x_1)}{x_2 - x_1} [/tex]
[tex] x_1 = 0 [/tex]
[tex] x_2 = 2 [/tex]
[tex] f(x_1) = f(0) = 0^2 + 7(0) + 10 = 10 [/tex]
[tex] f(x_2) = f(2) = 2^2 + 7(2) + 10 = 4 + 14 + 10 = 28 [/tex]
[tex] average~rate~of~change = \dfrac{f(x_2) - f(x_1)}{x_2 - x_1} [/tex]
[tex] average~rate~of~change = \dfrac{28 - 10}{2 - 0} [/tex]
[tex] average~rate~of~change = \dfrac{18}{2} [/tex]
[tex] average~rate~of~change = 9 [/tex]
Answer:
9
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 ] = [ 0, 2 ]
f(b) = f(2) = 2² + 7(2) + 10 = 4 + 14 + 10 = 28
f(a) = f(0) = 0 + 0 + 10 = 10, hence
average rate of change = [tex]\frac{28-10}{2-0}[/tex] = [tex]\frac{18}{2}[/tex] = 9
Find the surface area , please explain how you solved it.
The answer is 930 m^2. First, find the areas of each individual partbod the prism. The two side triangles would each be (5x12)/2. The back would be 5x29. The top would be 13x29. The bottom would be 12x29. Now add all of these together and you would get 930 m^2.
what is the solution to this equation x/4=-12
Answer:
x = -48
Step-by-step explanation:
-12 * 4 = -48
X = -48
4*(-12)=-48.
Is it always, sometimes, or never possible for the mean, median, and mode to be equal? Justify your reasoning.
Answer:
Yes
Step-by-step explanation:
Example:
series of 5 1's
1 1 1 1 1
mean median and mode are all equal here
Answer:
I guess they could be equal sometimes but not always i say this because there could be a chance but im not 100% sure
The thing i wanted to teach you is....
Hey diddle diddle the medians the middle you add then divide for the mean the mode is the one that appears the most and the range is the difference between.
Step-by-step explanation:
Please help me o have to turn this in tomorrow and I don’t want to fail
B=5 units that is the answer
a cone has a volume of 6 cubic inches. what is the volume of a cylinder that the cone fits exactly inside of
Answer:
= 18 cubic inches
Step-by-step explanation:
The volume of a cone is given by the formula;
V = 1/3 × base area × height
While that of cylinder is given by the formula;
Volume = Base area × height
Since we need the cylinder to fit exactly inside the cone, then it means that their bases are the same and heights are the same.
Therefore;
The cone has three times less volume compared to the cylinder.
Thus;
Volume of the cylinder = Volume of cone × 3
= 6 In³ × 3
= 18 cubic inches
A line described by the equation -4x + Y = 2 is graphed on a coordinate plane. Which equation describes the graph of a line passing through the point (-1, 3) and parallel to the line described by -4x + y = 2?
Answer:
D
Step-by-step explanation:
We know that parallel lines have equal slopes.
Let's transform the given equation to the form y = mx + b to find the slope (m is the slope). Shown below:
[tex]-4x+y=2\\y=4x+2[/tex]
So the slope is 4. Hence the parallel line will have a slope of 4.
Now we can write the equation of the parallel line as :
[tex]y=4x+c[/tex]
Since the line goes through (-1,3), we can plug in -1 into x and 3 into y to find out c:
[tex]y=4x+c\\3=4(-1)+c\\3=-4+c\\3+4=c\\c=7[/tex]
Now we know both m and c, so the equation of the parallel line is:
[tex]y=4x+7[/tex]
Answer choice D is right.
Based on the sample results,about what percent of the population prefers reading a hard copy?
sample results: digital copy:4 hard copy:21
n=25
A about 80%
B.about 50%
C.about 21%
D. about 16%
Answer:
my answer it 84%
Step-by-step explanation:
i got the question correct on the test
plz help 13 points! Math 7th grade
The correct answer is D ) -2
Answer:
the awnser is D
Step-by-step explanation:
Suppose f(x) = x^2+2. Find the graph of f(2/3x)
Answer:
The answer is graph 4.
Step-by-step explanation:
I literally just guessed it and got it right lol. Stay safe, ya’ll.
Carla spent two-fifths of her savings on a bracelet and had 9 left over. How many dollars did Carla's bracelet cost?
Final answer:
Carla spent two-fifths of her savings on a bracelet and had $9 left. Her original savings were $22.50, so the bracelet cost $9.
Explanation:
Carla spent two-fifths of her savings on a bracelet and had $9 left over. To determine the cost of Carla's bracelet, we need to let s represent her original savings. According to the problem, the remaining savings after purchasing the bracelet is s - (2/5)s = $9.
To solve for the cost of the bracelet, we can set up the equation (2/5)s = s - $9. By multiplying both sides by 5/2 to isolate s, we get:
s = (5/2) * ($9)
s = $22.50
So her original savings were $22.50. This means Carla spent (2/5) * $22.50 on the bracelet. Calculating this gives:
Cost of bracelet = (2/5) * $22.50
Cost of bracelet = $9
Thus, Carla's bracelet cost $9.
Which set of three angles could represent the interior angles of a triangle?
A.49,59,72
B.28,58,62
C.39,89,108
D.45,70,85
the sun interior angles of a triangle must be equal to 180degrees
option A 49, 59, 72 is the only one where the sum of the angles equal to 180 degrees
The set of three angles 49,59,72 represents the interior angles of a triangle option (A) is correct.
What is the triangle?In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
We have:
Set of three angles:
The triangle's interior angles add up to 180°.
A.49,59,72
= 49 + 59 + 72
= 180(interior angles of a triangle)
B.28,58,62
= 28 + 58 + 62
= 148 (not an interior angles of a triangle)
C.39,89,108
= 39 + 89 + 108
= 236 (not an interior angles of a triangle)
D.45,70,85
= 45 + 70 + 85
= 200 (not an interior angles of a triangle)
Thus, the set of three angles 49,59,72 represents the interior angles of a triangle option (A) is correct.
Learn more about the triangle here:
brainly.com/question/25813512
#SPJ2
Find the square meters
Answer:
17 square meters
Step-by-step explanation:
Begin by finding the area of the whole rectangle without the cut out. The area is A = l*w = 4*5 = 20.
Now find the area of the cut out and subtract it from 20.
A = l*w = 3*1 = 3
20 -3 = 17
The area of the figure is 17.
Which of the following shows 2.684 rounded to the nearest hundredth
A. 2.68
B. 2.69
C. 2.70
D. 3.00
The answer would be A
Final answer:
To round 2.684 to the nearest hundredth, you look at the third decimal place. Since it's a 4, you don't round up, keeping the second decimal at 8. The rounded number is 2.68.
Explanation:
To round the number 2.684 to the nearest hundredth, we need to look at the third digit after the decimal point, which is 4 in this case. Since the third digit (4) is less than 5, we do not round up the second digit. Therefore, the second digit after the decimal remains as 8, and the number 2.684 rounded to the nearest hundredth is 2.68.
So, the correct answer from the options provided is:
A. 2.68
-0.2x^2+0.9x+0.6=y
What's the vertex form for this equation?
Answer: y = -0.2(x - 2.25)² + 1.6125
Step-by-step explanation:
[tex]y = -0.2x^2 + 0.9x + 0.6\\\\y - 0.6 = -0.2x^2 + 0.9x\\\\y - 0.6 =-0.2(x^2-4.5x)\\\\y-0.6+\underline{(-0.2)(2.25)^2}=-0.2(x^2-4.5x+\underline{2.25^2})\\\\y-0.6-1.0125=-0.2(x-2.25)^2\\\\y-1.6125=-0.2(x-2.25)^2\\\\y=-0.2(x-2.25)^2+1.6125[/tex]
Two kinds of perfume are packaged in square pyramidal bottles. Perfume A is packaged in a bottle with a base of 3 inches square and a slant height of 2.5 inches. Perfume B is packaged in a bottle with a base 2.5 inches square and has a slant height of 3 inches. Which bottle contains more glass?
Answer:
The bottle of perfume A contains more glass
Step-by-step explanation:
we know that
The surface area of the square pyramid is equal to the area of the square base plus the area of its four triangular faces
step 1
Find the surface area of Perfume A
[tex]SA=3^{2} +4[\frac{1}{2}(3)(2.5)]=24\ in^{2}[/tex]
step 2
Find the surface area of Perfume B
[tex]SA=2.5^{2} +4[\frac{1}{2}(2.5)(3)]=21.25\ in^{2}[/tex]
step 3
Compare the surface areas
[tex]24\ in^{2}>21.25\ in^{2}[/tex]
therefore
The bottle of perfume A contains more glass
Which number is greater than (>) 6.841?
Answer:6.95
6.95= 6.95>6.841
6.8= 6.800<6.841
6.786<6.841
6.839<6.841
Answer:
6.95
Step-by-step explanation:
We can find the answer by analyzing the options and deducing which is greater or less.
That is, if we have the number 6.841, the number 6.95 must be greater because it has 9 intead of an 8, which makes it a bigger number.
We can also make a division between the original number and the number that we want to know if it is greater or less, and if the division is less than 1 it means that the number is greater, and if the division is greater than 1 it means that the number is smaller.
6.841/6.8 = 1.006 ⇒⇒ 6.8 is smaller than 6.841
6.841/6.786 = 1.008 ⇒⇒ 6.786 is smaller than 6.841
6.841/6.839 = 1.0003 ⇒⇒ 6.839 is smaller than 6.841
6.841/6.95= 0.98 ⇒⇒ 6.95 is greater than 6.841
I need help with this.
I’ll give you a commentary for your page
Answer:
400 meters for #14
Step-by-step explanation:
Because 1.9 is half of 3.8, and 1.9 is really 200 meters; all you have to do is multiply 200 meters by 2. Therefore, 400 meters.
400 meters is your answer for question #14
one third the difference of two number is 12. if the larger number is 9, what is the sum of the two numbers
x=smaller number
y=larger number
x+y=12
y=3x-6
Let's begin with the first equation...
x+y=12
Let's substitute...
x+(3x-6)=12
4x-6=12
Let's add 6 to both sides as we proceed to isolate x...
6+4x-6=12+6
4x=18
Let's divide both sides by 4...
(4x)/4=18/4
x=9/2=4.5---smaller number
12-4.5=7.5s larger number
Answer:
The sum of the two numbers is -18.
Step-by-step explanation:
You can work your way through the problem starting with ...
1/3 the difference of two numbers is 12
Since 3 times 12 is 36, the difference of the two numbers is 36.
Then you are told ...
the larger number is 9
so the smaller number will be 9 less the difference, or ...
smaller number = 9 - 36 = -27.
Now, you know both numbers, so you know there sum is ..
9 + (-27) = -18 . . . . . sum of the two numbers
_____
You can work it also using L for the larger number, D for the difference. Then the smaller number is (L-D) and the sum is ...
sum = L + (L -D) = 2L - D
Filling in the values given for the larger number and the difference, you have ...
sum = 2·9 - 3·12 = 18 -36 = -18 . . . . . as before
HELP ME PLZ
(50 POINTS)
➷ The formula for circumference is [tex]\pi d[/tex]
1) [tex]\pi d = 31.4[/tex]
Divide both sides by [tex]\pi[/tex]
d = 9.99 (consider this to be 10)
Half this to find the radius
10/2 = 5
It would be figure B.
2) [tex]\pi d = 37.68[/tex]
Divide both sides by [tex]\pi[/tex]:
d = 11.99 (consider this to be 12)
Divide by 2 to find the radius:
12/2 = 6
It would be figure C.
3) area = [tex]\pi r^2[/tex]
[tex]\pi r^2 = 153.86[/tex]
r^2 = 48.97515909
r = 6.998 (consider this to be 7)
It would be figure D
4) [tex]\pi r^2 = 113.04[/tex]
r^2 = 35.98174
r = 5.998 (consider this to be 6)
It would be figure C.
5) radius = diameter / 2
radius = 3
[tex]\pi (3)^2 = 28.27433[/tex]
It would be option C
✽➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
he is right
becasue he knows what he is talking about
20) Use the distributive property to factor the expression. 10xz − 20yz A) z(10x − 20y) B) 10(xz − 2yz) C) 10z(x − 2y) D) xyz(10 − 20)
Answer:
C. 10z(x - 2y)
Step-by-step explanation:
10xz − 20y
Factor the terms
Factors of 10xz = 2 × 5 × x × z
Factors of -20yz = (-1) × 2 × 2 × 5 × y × z
Identify their greatest common factor
The common factors are 2, 5, and z. The greatest common factor is 10z.
Rewrite them with the GCF as a factor
10xz = 10z × x
-20yz = 10z × (-2y)
Replace the terms in the original expression with the factored terms
10xz − 20yz = 10z(x) + 10z(-2y)
Use the distributive property to isolate the greatest common factor
10z(x) + 10z(-2y) = 10z(x - 2y)
On the Richter scale, the magnitude, M, of an earthquake is given by M= 2/3logE/Eo, where E is the energy released by the earthquake measured in joules, and Eo is the energy released by a very small reference earthquake. Eo has been standardized to 10^4.4 joules.
Part A
The earthquake in Haiti in 2010 released 2.0*10^15 joules. What was its magnitude on the Richter scale?
Part B
If the energy release of one earthquake is 10,000 times that of another, how much larger is the Richter scale reading of the larger earthquake than the smaller?
Answer:
See below
Step-by-step explanation:
Part A
Formula
M = 2/3 * log(E/Eo)
Givens
M = ??
E = 2 * 10^15 joules
Eo = 10^4.4
Solution
M = (2/3) * log(2 * 10^15 / 10^4.4)
M = (2/3 ) log (7.96 * 10 ^ 11)
M = (2/3) * 11.901
M = 7.934
Part B
What the question is saying is that E/Eo = 10000
You don't have to figure out exact values.
M = 2/3 * log(10000)
M = 2/3 * 4
M = 8/3 or 2 2/3 or 2.66667
If you have choices, please list them.
Answer:
A ; M = 7.267
B ; M = 2.667
Step-by-step explanation:
Formula
M = (2/3) log (E/Eo)
M = 2/3 * log (2 * 10^15/10^(4.4) )
M = 2/3 * log( 7.9621* 10^10)
M = 2/3 * 10.901
M = 7.267 on the Richter scale.
Part B
Suppose that you use Eo and your base. Eo is 10^4.4
Now the new earthquake is E = 10000 * Eo
So what you get now is M = (2/3)* Log(10000 * Eo / Eo )
M = 2/3 * log(10000)
M = 2/3 of 4
M = 8/3
M = 2.6667
What this tells you is that if the original reading was (say) 6 then the 10000 times bigger reading would 8.266667