Answer:
Step-by-step explanation:
l = length
b = breadth
We know the length is twice the breadth, therefore l = 2b
We also know that the perimeter p = 60m and can also be expressed as a sum of its sides where p = l + l + b + b = 60 which simplified is:
60 = 2l + 2b
Now we have 2 variables, but thankfully we were given a ratio (l = 2b) relating the two. Substituting 2b in for l gives us:
60 = 2(2b) + 2b = 4b + 2b = 6b
60 = 6b
b = 10 m
Now that we know the breadth we can find the length:
l = 2b → l = 2(10) = 20 → l = 20 m
With a breadth of 10 m and a length of 20 m
Research Team A grows bacteria in a Petri dish. There are initially 200 bacteria in the
dish and the number of bacteria increases 4% each hour. The researchers use the
expression 200(r)* to estimate the number of bacteria present after t hours.
What is the value of r in the expression?
A. 0.04
B. 0.96
C 1.04
D. 4.00
Christian is starting his own business and last week it cost him $10.38 to ship 6 pounds of merchandise to his customers. His business is growing and this week he must ship 20 pounds of merchandise. How much will he pay for shipping this week?
Answer:
34.20
Step-by-step explanation:
Because 10.38/6=1.78 1.78*20=34.20
SOMEONE HELPPPP IS THIS ONE CORRECT?
Answer:
yea
Step-by-step explanation:
Rosario is an ecologist who studies the change in the penguin population of Antarctica over time.
The relationship between the elapsed time t, in years, since Rosario started studying the population, and
the number of penguins, P(t), is modeled by the following function:
P(t) = 21,000 • (4/7)^t/3
Complete the following sentence about the rate of change in the penguin population.
The population of penguins loses 3/7 of its size every ____ years.
Answer: every 3 years
Step-by-step explanation:
Divide 63 ml in the ratio 2:3:4
Answer:
21ml/2
Step-by-step explanation:
Sara picked 18 to 24 roses she divided flowers into groups so that the same number of tulips and roses were in each bouquet. What is the greatest number of bouquets she could have
Answer:
6 bouquet
Step-by-step explanation:
To obtain the greatest number of bouquet she could have ;
Obtain the greatest common factor of 18 and 24
Factors of 18 : 1 , 2, 3, 6, 9, 18
Factors of 24 : 1, 2, 3, 4, 6, 8, 12, 24
The greatest factor commo to both 18 and 24 is 6.
Hence, the greatest number of bouquet she could have is 6.
The graph models the amount of radioactive element present over the course of a 10-minute experiment.
What is the average rate of change of the amount of the element over the 10-minute experiment?
A.
-2.0 g/min
B.
-5.0 g/min
C.
-0.2 g/min
D.
-1.8 g/min
Answer:
D is the answer - 1.8 g/min
Step-by-step explanation:
Write as a square of a binomial
4.8xy+36y^2+0.16x^2
(15y+x)^2
That’s your answer. I hope i helped!
x²-5x+6/5x-25 help please
Answer:
x^2-5x+6x-25
--- (6x over 5)
5
Step-by-step explanation:
1. Combine multiplied terms into a single fraction
x^2-5x+6x-25
into
x^2-5x+6x-25
--- (6x over 5)
5
I hope this helps. If you need more clarification please let me know.
:)
If side x has a length of 15 cm and side y has a length of 4 cm, then which value below could be the length of side z?
A.
20 cm
B.
21 cm
C.
17 cm
D.
10 cm
Answer:
Step-by-step explanation:
You should start with 10. The problem with 10 is that if you add 4 to it, the sum is less than 15, so no triangle will form.
A and B won't work either 4 + 15 is 19. A and B are both longer than 19 so no triangle will form.
The answer has to be C. 4 and 15 make 19. That's more than 17 so a triangle will be formed.
help on this pls! thank u!
Answer:
Step-by-step explanation:
PLEASE HELP ME ASAP! I WILL GIVE YOU BRAINLIEST!!!!
Answer:
i dont know sorry
Step-by-step explanation:
i dont know sorry
the lateral area of a cone with a diameter of 15 yards is about 287.5 square yards. to the nearest tenth, what is the slant height of the cone
Answer:
The answer is 2200cm to the 3rd power
Step-by-step explanation:
Help
If 4r = 24, then r=
Answer:
6
Step-by-step explanation:
Given,
4r = 24
[tex] = > r = \frac{24}{4} [/tex]
=> r = 6(Ans)
Answer:
6
Step-by-step explanation:
4r = 24
r = 24/4
r = 6
The ratio of the number of boys to the number of girls in choir is 5 to 4. There are 60 girls in the choir. How many boys are in the choir A. 75. B. 61. C. 48. D. 80
Answer:
A
Step-by-step explanation:
60÷4 = 15
5×15=75, that's how many boys
PLS HELP ME I WILL GIVE YOU BRAINLIEST!
43.96/14
Step-by-step explanation:
-2x+4y=12
Can you help me
Estimate the sum 4.86+9.57
Answer:
about 14 or 14.3 to be more specific
Step-by-step explanation:
Step-by-step explanation:
here is the my estimation for this is is 14.43
help it says which triangles are similar
Answer:
A) triangles A and B
Step-by-step explanation:
Their dimensions are proportional and their angles are equal
❌❌❌WILL GIVE BRAINLIEST
Use three different values of n to demonstrate that 2n + 3n is equivalent to 5n.
Answer: n=1,2,3
Step-by-step explanation: if we plug in these numbers 2*1+3*1=5*1 this works. If we do this for 2 then we have 2*2+3*2=10 and 5*2= 10 this also works. The same thing with 3. 2*3+3*3=15 5*3=15
Hope this helps!
cramers rule
hurry up plzzz
Answer:
Answers provided below
Step-by-step explanation:
From the simultaneous linear equation, we have the coefficient matrix as;
(3 4 5)
(2 -1 8)
(5 -2 7)
The x-matrix is Dx is given by;
(18 4 5)
(13 -1 8)
(20 -2 7)
Similarly, the y-matrix Dy is given by;
(3 18 5)
(2 13 8)
(5 -20 7)
Also,the z-matrix Dz is given by;
(3 4 18)
(2 -1 13)
(5 -2 -20)
Determinant of the coefficient matrix from online determinant calculator is;
D = 136
Determinant of the x-matrix from online determinant calculator is; Dx = 92
Determinant of the y-matrix from online determinant calculator is; Dy = 696
Determinant of the z-matrix from online determinant calculator is; Dz = 576
From crammers rule;
x = Dx/D = 92/136
y = Dy/D = 696/136
z = Dz/D = 576/136
Please help!
Simplify. Your answer should contain only positive exponents.
Answer:
[tex]\frac{1}{4k^3}[/tex]
Step-by-step explanation:
It's already in a form that only ha positive exponents. Just to state it though you could rewrite it as [tex]k*(4k^{4})^{-1}[/tex] or [tex]k*4^{-1}*k^{-4}[/tex] The question asks for positive exponents though so yu don't need to do that.
You also need to know [tex]\frac{x^a}{x^b}=x^{a-b}[/tex] so in this case [tex]\frac{k}{k^4}=\frac{k^1}{k^4} =k^{1-4}=k^{-3}=\frac{1}{k^3}[/tex]
so [tex]\frac{k}{4k^4}=\frac{1}{4}*\frac{k}{k^4}=\frac{1}{4}*\frac{1}{k^3}=\frac{1}{4k^3}[/tex]
hi could you help my sister with function tables shes in elementary school
Answer:
L- 23
P-53
O-28
U-43
H-58
Step-by-step explanation:
For this question you must simply replace N in the equation with the number in every letter for example L is 23 because a = 5 x (4) + 3, thus these are your answers!
Answer:
n=4 a=23
n=10 a=53
n=5 a=28
n=8 a=43
n=11 a=58
I dont know what the letter are for but here ya go.
Hope this Helps your sister! :)
quadrilateral vwxy with vertices v(-2,-1) w(-5,-2) x(-8,-7) and y(1,-6): 18o from the origin
Given:
The vertices of a quadrilateral are v(-2,-1) w(-5,-2) x(-8,-7) and y(1,-6).
To find:
The vertices of the image of quadrilateral vwxy after 180° about the origin.
Solution:
If a figure rotated 180° about the origin, then the rule of rotation is
[tex](x,y)\to (-x,-y)[/tex]
Using this rule, we get
[tex]v(-2,-1)\to v'(2,1)[/tex]
[tex]w(-5,-2)\to w'(5,2)[/tex]
[tex]x(-8,-7)\to x'(8,7)[/tex]
[tex]y(1,-6)\to y'(-1,6)[/tex]
Therefore, the vertices of image of quadrilateral vwxy after 180° about the origin are v'(2,1), w'(5,2), x'(8,7), y'(-1,6).
What is the image point of (-1, 1) after a translation right 2 units and
down 1 unit?
During a sprint, a basketball player is traveling at +3 m/s. Four seconds later, the player is traveling at –5 m/s. The average acceleration of the basketball player over the last 4 seconds is:
Answer:
the average acceleration of the basketball player over the last 4 seconds is 0.5 m/sec^2
Step-by-step explanation:
The computation of the average acceleration is shown below:
= Change in velocity ÷ change in time
= 5 - 3 ÷ 4
= 2 ÷ 4
= 0.5 m/sec ^2
Hence, the average acceleration of the basketball player over the last 4 seconds is 0.5 m/sec^2
Create a real life example that can be modeled by the expression –2 • 4.
Answer:
Some one buys an apple that costs two dollars out of there pocket fours times.
Step-by-step explanation:
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
The diagram below shows the contents of a jar from which you select marbles at random.
An illustration of a jar of marbles is shown. Four of the marbles are labeled with an upper R, seven of the marbles are labeled with an upper B, and five of the marbles are labeled with an upper G. The key identifies upper R to represent red marbles, upper B to represent blue marbles, and upper G to represent green marbles.
What is the probability of selecting a red marble, replacing it, and then selecting a blue marble? Show your work.
What is the probability of selecting a red marble, setting it aside, and then selecting a blue marble? Show your work.
Are the answers to parts (a) and (b) the same? Why or why not?
Answer:
A:
probability of red = 4/16 = 1/4
prob(blue) = 7/16
probability of red, then blue is (1/4)(7/16) = 7/64
B:
probability red = 1/4
probability blue = 7/15
probability of red, then blue = (1/4)(7/15) = 7/60
c) your decision
Step-by-step explanation:
i took the test
The solution is,
A. 7/64 is the probability of selecting a red marble, replacing it, and then selecting a blue marble.
B. 7/60 is the probability of selecting a red marble, setting it aside, and then selecting a blue marble.
C. the answer is no.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
here, we have,
given,
There are 4 red marbles.
There are 7 blue marbles.
There are 5 green marbles.
There are 16 marbles in total.
A:
Answer = (probability of selecting a red marble)(probability of selecting a blue marble)
First, the probability of selecting a red marble.
probability of red = 4/16 = 1/4
probability(blue) = 7/16
probability of red, then blue is (1/4)(7/16) = 7/64
B:
Answer = (probability of selecting a red marble)(probability of selecting a blue marble)
First, the probability of selecting a red marble.
probability red = 1/4
probability blue = 7/15
probability of red, then blue = (1/4)(7/15) = 7/60
c) obviously,
7/64 ≠ 7/60
So the answer is no.
To learn more on probability click:
brainly.com/question/11234923
#SPJ3
Help!!! I don’t get this
S, sample space :
all the possible outcomes of an experiment
number × sampel space = 8
Answer :
D. HHH, HHT, HTH, HTT, THH, THT, TTH, TTT
*answer can get from the list of sample space (in pic)
Answer :
A.
* answer can get from the final of tree diagram (in pic)
The community service club is raising money for a children's hospital. Earlier in the year, the club had raised $240 for the charity. The club then held a bake sale and after the sale they were able to donate a total of $750 to the charity. Write an equation and solve for the amount raised at the bake sale.