We are given –
Area of rectangular is = 92 square mmLength of rectangular is = 11.5 mmWe are asked to find out the value of perimeter of the rectangular! Let's find it's breadth first!We know that–
[tex]\qquad[/tex][tex] \purple{\bf\longrightarrow Area_{(Rectangular)} = Length \times Breadth} [/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 92 = 11.5 \times Breadth [/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow Breadth = \cancel{\dfrac{92}{11.5}}[/tex]
[tex]\qquad[/tex][tex] \purple{\bf \longrightarrow Breadth = 8 \: mm}[/tex]
Now, Perimeter of rectangular –
[tex]\qquad[/tex][tex] \pink{\bf \longrightarrow Perimeter _{(Rectangular) } = 2( Length + Breadth) }[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow Perimeter _{(Rectangular) }= 2( 11.5 +8) [/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow Perimeter _{(Rectangular) } = 2 \times 19.5[/tex]
[tex]\qquad[/tex][tex]\pink{ \bf \longrightarrow Perimeter _{(Rectangular) } = 39\: mm}[/tex]
Henceforth, Perimeter of rectangular is 39mm._______________________________________
Answer:
Perimeter = 39 mmStep-by-step explanation:
In this question we are given with ,
Area of rectangle = 92 sq mmLength of rectangle = 11.5 mmAnd we're asked to find the perimeter of rectangle .
Solution : -
We know that ,
[tex] \pink{ \boxed{\sf{Area \: of \: rectangle = L × W}}}[/tex]
Where ,
L = length of rectangleW = width of rectangleSo from this formula we can find the width of rectangle and equating it with 92 ( because 92 is the given area ) . Substituting value of length :
[tex] \longmapsto \: 11.5 \times W = 92[/tex]
Step 1 : Multiplying 11.5 and W :
[tex] \longmapsto \: 11.5W = 92[/tex]
Step 2 : Dividing by 11.5 on both side :
[tex] \longmapsto \: \frac{ \cancel{11.5}W}{ \cancel{ 11.5}} = \frac{92}{11.5} [/tex]
On further calculations we get :
[tex] \longmapsto \: W = \cancel{\frac{920}{115} }[/tex]
Step 3 : By cancelling 920 by 115 we get :
[tex] \longmapsto \: \purple{\boxed{ \bold{W = 8 \: mm}}}[/tex]
Therefore , width of rectangle is 8 mm .Finding Perimeter :We know that ,
[tex] \blue{ \boxed{ \sf{Perimeter \: of \: rectangle = 2 ( L +W )}}}[/tex]
Where ,
L = Length of rectangle W = Width of rectangleSubstituting values in formula :
[tex] \longrightarrow \: 2(11.5 + 8)[/tex]
Step 1 : Solving parenthesis :
[tex] \longrightarrow \: 2(19.5)[/tex]
Step 2 : Multiplying 2 with 19.5 :
[tex] \longrightarrow \: \green{\boxed{ \bold{39 \: mm}}}[/tex]
Therefore, perimeter of rectangle is 39 mm. #Keep LearningA statistics teacher was interested in the relationship between the number of days students waited to start a project
and the score that project received (out of 100 points). Information was collected on several students and was used
to obtain the regression equation ý= -3.64x + 96.5, where x represents the number of procrastination days and ý is
the predicted grade. What is the predicted grade of a student who procrastinated for 1 week?
O24.59
71.02
O 92.86
O. 96.5
Answer:
71.02
Step-by-step explanation:
x is the number of days
1 week = 7 days
-3.64 (7) + 96.5 = 71.02
A recipe requires 1/3 cup of water for every 2/5 cups of sugar. How much
sugar would you need for a full cup of water?
Answer:
1 1/5
Step-by-step explanation:
3 2/3 + 2 3/5 + x = 8
Answer: x= [tex]-\frac {109}{15}[/tex]
Listen
ol
Figure B is a scale image of Figure A, as shown.
2.5
Figure A
Figure B
Enter the scale factor applied to Figure A to produce Figure B.
Enter your answer as a fraction, like this. 42/53
Answer:
scale factor = [tex]\frac{14}{5}[/tex]
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, image to original.
scale factor = [tex]\frac{7}{2.5}[/tex] = [tex]\frac{7(2)}{2.5(2)}[/tex] = [tex]\frac{14}{5}[/tex]
find the greatest common factor GCF and the least common multiple LCM of these Numbers. 8and 9
Answer:
LCM is [tex]72[/tex]
GCF is [tex]1[/tex]
Step-by-step explanation:
LCM is least common multiplier
LCM of
[tex]8,9=8\times 9\\\\=72[/tex]
GCF is greatest common factor
Factors of [tex]8=1,2,4,8[/tex]
Factors of [tex]9=1,3,9[/tex]
Greatest common factor is [tex]1[/tex]
GCF is [tex]1[/tex]
Which best describes reduced fractions that will always terminate?
A.
reduced fractions with denominators that are factors of only 5
B.
reduced fractions with denominators that are factors of 2 or 5
C.
reduced fractions with denominators that are factors of only 5 or 7
D.
reduced fractions with denominators that are factors of only 2 or 3
Answer:a
Step-by-step explanation:
Reduced fractions with denominators that are factors of 2 or 5. Therefore, the correct answer is option B.
Terminating decimals are integers with a definite or finite number of digits following the decimal point. Like fractions, decimal numbers are used to represent a portion of a whole. This course will concentrate on the type of decimal numbers known as terminating decimal numbers. The word 'terminate' means to put a stop to something. In decimal terms, it is a number that comes to an end.
Here are a few tips to assist you identify a terminating decimal number.
A non-rational number is never an ending decimal number.If the denominator of a simplified rational number can be expressed in the manner [tex]2^p5^q[/tex] or [tex]2^p[/tex] or [tex]5^q[/tex], where p, q N, then the number has a terminating decimal expansion.After the decimal point, a terminating decimal number always has a finite number of digits.Therefore, the correct answer is option B.
Learn more about the terminating fraction here:
https://brainly.com/question/5286788.
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Which property explains why these two expressions are equal? 7 + q + 4 = 4 + 7 + q
Which of the following is the figure most likely the graph of?
A) f(x) = (2/3)x
B)f(x) = –2x
C)f(x) = (3/2)x
D)f(x) = 2x
The accurate line represented by line b because during such experiment ( osmosis or mass transfer) there would be a time where the system be in equilibrium meaning that that the net movement will be zero. In line B at time starting 15 min equilibrium is reached no further movement is attained beyond it.
Divide: 1/2÷1/10
SHOW WORK
Answer:
5
Step-by-step explanation:
1/2÷1/10=
1/2x10/1=
10/2=5
Answer:
the answer is 5
Step-by-step explanation:
keep change flip
1/2 x 10 =5
Please look for the question in the picture.
Help please , need answer ASAP
Answer:
(fg)(9) = 948
Step-by-step explanation:
(fg)(9) = f(9)×g(9) = (9 +3)(9^2 -2) = (12)(79)
(fg)(9) = 948
The game starts as follows. You pick one medal without unwrapping it, and then the game host unwraps one of the remaining medals and reveals that it is a silver medal. (Assume here that the host unwraps a medal with equal probability, but knowing where the gold medal was and avoiding unwrapping the gold medal if still on the table, to keep the game interesting to watch until the end.) You have now three medals left to unwrap (one in your hand, two on the table). At this point, the host gives you the option to change your mind and swap your medal for one of the two left on the table. What would you do at this point? Would you keep your medal, or swap it with one of the two medals left on the table? If so, which one?
Answer:
I'd swap with one on the table (the left one) but with my luck it would be a sword made of rubber
Multiply:
5m^3 n^5 (25m^6 n)
A. 125m^18n^10
B. 30m^9 n^5
C. 30m^9 n^6
D. 125m^9 n^6
Answer:
D
Step-by-step explanation:
5m^3 n^5 (25m^6 n)
-->5m^3*25n^6m^6
-->125m^9 n^6
Melissa has 120 kilograms of rice. Her mother sold 105 kilograms. What percent of the rice was sold? with solution :D please
Answer:
225
Step-by-step explanation:
po ang answer ko
please comment if I'm wrong
Desmond has 169 square bricks that he is arranging in a row to make a patio. Every row must have to have the same number of bricks. How many bricks are in each row? Describe the shape of the patio
Martina's fish tank has 15 liters of water in it. She plans to add 5 liters per minute until the tank has at least 60 liters. What are the possible numbers of minutes
. :
Martina could add water?
Use t for the number of minutes
Write your answer as an incqua ty solved fort
Answer:
9 minutes
Step-by-step explanation:
60=15+5t
45=5t : subtract 15 from both sides
9=t : divide by 5 for both side
Choose all the numbers that make the comparison true.
42 > __
A, 22
B, 64
C, 41
D,40
E, 40
Answer:
22, 40, 40, and 41
Step-by-step explanation:
happy to help have a nice day
plz help me to answer
Answer:
if you can only pick one it's e
Step-by-step explanation:
Im 90% sure a and c are both true answers while 70% sure that b and d are both true answers so unless someone says otherwise e is your best bet
As a bowl of soup cools, the temperature of the soup is given by the twice-differentiable function H for 0[tex]\leq[/tex]t[tex]\leq[/tex]12, where H(t) is measured in degrees Celsius (C), and time t is measured in minutes. Values of H(t) at selected values of time t are shown in the table above.
a) Use the data in the table to approximate H'(5). Show the computations that led to your answer. Using correct units, explain the meaning of H'(5) in the context of the problem.
b) Is there a time t for 0[tex]\leq[/tex]t[tex]\leq[/tex]12 at which the temperature of the soup is 60C? Justify your answer.
c) The temperature of the soup is also modeled by the twice-differentiable function C for 0[tex]\leq[/tex]t[tex]\leq[/tex]12, where C(t) is measured in degrees Celsius (C), and time tis measured in minutes. It is known C(3)= 80 and the derivative of C is given by C'(t)= -3.6e-0.05t. Write an equation for the line tangent to the graph at t=3 and use it to approximate C(5).
d) Based on the model given in part c, at what rate, in degrees Celsius per minute minute, is the rate of change of the temperature of the soup changing at t=3 minutes?
The rate of change of temperature with time at a point in time is given by
the derivative of the function for the temperature of the soup.
The correct responses are;
a) H'(5) is approximately -2.6 degrees Celsius per minute.b) Yesc) The equation for the line tangent is y = -3.6·t + 90.8The approximate value of C(5) is 72.8 °Cd) The rate of change of the temperature of the soup at t = 3 minutes is -3.6 degrees Celsius per minute.Reasons:
a) From the data in the table, we have;
The approximate value of H'(5) is given by the average value of the rate of
change of the temperature with time between points, t = 3, and t = 8
Therefore;
[tex]\displaystyle H'(5) = \mathbf{\frac{H(8) - H(3)}{8 - 3}}[/tex]
Which gives;
[tex]\displaystyle H'(5) = \frac{80 - 67}{8 - 3} = \mathbf{2.6}[/tex]
Therefore, H'(5) = -2.6°C per minute
b) Given that the function is twice differentiable over the interval, 0 ≤ t ≤ 12, the function for the change in temperature is continuous in the interval 0 ≤ t ≤ 12
At t = 0, H(0) = 90 °C
At t = 12, H(12) = 58 °C
58 °C < 60 < 90 °CTherefore, there exist a temperature, of 60 °C between 90° C and 58 °C
c) The given derivative of C is, [tex]C'(t) = \mathbf{-3.6 \cdot e^{-0.05 \cdot t}}[/tex]
At t = 3, we have;
[tex]The \ slope \ at \ t = 3 \ is \ C'(3) = -3.6 \cdot e^{-0.05 \times 3} \approx -3.1[/tex]
Therefore, we have;
y - 80 ≈ -3.1 × (x - 3)
The equation for the tangent is; y = -3.6 × (x - 3) + 80
y = -3.6·x + 10.8 + 80 = -3.6·x + 90.8
The equation for the tangent is; y = -3.6·x + 90.8The value of C(5) is approximately, C(5) ≈ -3.6 × 5 + 90.8 = 72.8
C(5) ≈ 72.8°d) Based on the the model above, the rate at which the temperature of the
soup is changing at t = 3 minutes is -3.6 degrees per minute.
Learn more about calculus and concepts here:
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What amount of a 40% acid solution must be mixed with 200 mL 10% solution to produce a 20% solution?
Answer:
Step-by-step explanation:
(x + 200)20 = 200(10) + x(40)
20x + 4000 = 2000 + 40x
2000 = 20x
X = 100 mL
HELP ANSWER PART A AND B
Answer:
part A: median is 12
part B: interquartile rage is 10
Step-by-step explanation:
Part A: to find your median on a box and whisker plot, you just need to look at your middle line in your box. In this case it's 12.
Part B: to find your interquartile range on a box and whisker plot, you subtract your Q1 and Q3. Your Q1 and Q3 will be the two outside lines that make up the rest of your box, in this case would be 6 and 16. To find your Q1 if you don't already have your plot set up, you separate the numbers that are given to you in half and find the median of each side. The first half will be your Q1 and the second half your Q3.
Use the long division method to find the result when 12x3 - 27x2 + 13x + 30 is
divided by 4x + 3.

Answer:
your answer will become 69.
HELP!!
is {(-3,-6),(-2,-1),(-1,-0),(0,3),(1,15)} a function??
It's a function because we don't have any repeated x coordinates. Any given x input value leads to exactly one y output value.
The domain is {-3,-2,-1,0,1} which is the set of all x inputs.
The range is {-6, -1, 0, 3, 15} which is the set of y outputs.
How do you multiply fractions? And do we have to simplify them by any chance or no?
To multiply a fraction, imagine it this way. Start with 1/4. Then if you multiply 1/4 by 2 it would be 1/2.
If you have a quarter, and you times that quarter by 2, you have half a dollar.
It only needs to be simplified if you can simplify the fraction.
Answer:
Ok say your doing 1/4 * 2/4 you move the /4 over to the side and multiply 1 and 2 that would be 2 so then you put the the 2 on top of the /4 and you have 2/4… Now if you have odd numbers like 1/4 * 1/6 you would simplied the 6 and 4 what can go into (divide by the same number) 6 AND 4 both… 2 because so you change the 1/4 and 1/6 to a 1/2 * 1/2 those multiplied together equal 1/2
Step-by-step explanation: pls give brainleist and dont for get to leave a rating and heart
Which list of angle measures could be the angle measures of a triangle?
Jasmine is scuba diving at an elevation of −68.4 feet when her friend signals to come higher. Jasmine makes three ascents, each an equal distance, to reach an elevation of −15.6 feet, where her friend is located. What was Jasmine's elevation after her first ascent? Enter your answer as a decimal in the box.
Answer:
-35.2
Step-by-step explanation:
-68.4-(-15.6)= (-52.8)
-52.8÷3=(-17.6)
-52.8-(-17.6)=-35.2
Answer:-35.2
Step-by-step explanation:
can some1 please help:(
A) -2/5hope it helps ....❤
Need an answer right away for many points! I will report if it is not applicable.
Answer:
I don't know
Step-by-step explanation:
plus all of them = Answer
Answer:
Step-by-step explanation:
False Line of symmetry is x = -1
False The maximum of f(x) = 3
we can find the maximum of f(x) by putting it in vertex form (y - 3) = - 1(x + 7)² which tells us that the vertex is at (-7, 3)
True -7 < -1
PLS PLS PLS PLS HELP :D <33
Answer:
Value of x = 3
m∠HEB=27°
Step-by-step explanation:
1) CEH and HEB are complementary angles, therefore both of their angles added together will be 90 degrees
2) Set the two equations added together equal to 90 and solve for x
19x+6+9x=90
28x=84
x=3
3) Plug in x into 9x to get HEB
9(3)=27
Divide.
1585 ÷ 25
63
6312
6325
63710
Answer:
The answer is 63 2/5
Step-by-step explanation:
Converting to mixed numbers divide 317 by 5.
5 goes into 31 at most 6 times and 5 goes into 17 at most 3 times.
The quotient of 317/5 is 63 with remainder of 2, so answer is 63 2/5.