Answer:
hi
Step-by-step explanation:
The height of a triangle is increasing at a rate of 3 cm/min while the area of the triangle is increasing at a rate of 11 square cm/min. At what rate is the base of the triangle changing when the height is 5 centimeters and the area is 10 square centimeters
Answer:
2cm/minStep-by-step explanation:
The Area of a triangle is expressed as:
A = 1/2 bh
b is the base of the triangle
h is the height of the triangle
Given
dh/dt = 3cm/min
dA/dt = 11cm²/min
height h = 5cm
Area = 10cm²
Get the base first
10 = 1/2b(5)
20 = 5b
b = 20/5
b = 4cm
Differentiating the area with respect to time
A(b, h) = 1/2 bh
According to product rule
dA/dt = 1/2{b dh/dt + h db/dt}
Substitute the given parameters and get db/dt
11 = 1/2{4(3)+5db/dt}
11 = 1/2{12+5 db/dt}
11 = 6 + 5/2 db/dt
11-6 = 5/2 db/dt
5 = 5/2 db/dt
1 = 1/2 db/dt
cross multiply
2 = db/dt
db/dt = 2cm/min
Hence the rate at which the base of the triangle is changing id 2cm/min
ILL GIVE BRAINLIEST!!! What is the perimeter of a rectangular picture frame that is 1412
inches tall and 1112
inches wide?
Answer: 3,048 inches
Step-by-step explanation:
First, add the lengths of the two sides given.
1,412 + 1,112 = 1,524
Now, remember these are only two sides.
You have to multiply by 2 to get the total.
1,524 x 2 = 3,048
Answer = 3,048
. Explain the difference between a discrete variable and a continuous variable. Choose the correct answer below. A. A discrete variable has observed values that are clustered in certain intervals, while a continuous variable has observed values that are evenly distributed throughout the distribution. B. A discrete variable has possible values that are separate numbers, while a continuous variable has possible values that form an interval. C. A discrete variable has infinitely many possible values, while a continuous variable is usually a count. D. A discrete variable has each observation belong to one of a set of distinct categories, while a continuous variable has observations that take numerical values that represent different magnitudes of the variable.
Answer:
The correct answer is:
A discrete variable has possible values that are separate numbers, while a continuous variable has possible values that form an interval. (B)
Step-by-step explanation:
There are two major categories of variables in data measurement: Discrete and Continuous variables
A Discrete variable is a type variable that can take on a distinct number, obtained by counting, and there is a limit to the value that that variable can take on. An example is the number of students in a class. This can be 10, or 20 or 25, etc. There cannot be 12.8 students or 13.1 students. Hence this kind of variable is a discrete variable.
A Continuous variable is one that is measured and not counted. they have an infinite possibility within a range in a scale of measurement. An example is; the height of trees in meters. The possibilities can be 3.6m, 4.08m, 5m, 1.9m, etc. There is no distinct number, but a possibility of ranges.
Which of the following is true about the function below ?
Answer:
True
Step-by-step explanation:
It is a True fact that there is no actual question to be answered.
A color printer uses four colors of ink cartridges to print images. The table
shows the remaining ink levels of each cartridge in the color printer.
&
O
Cyan, yellow, black, magenta
Color Printer Ink
Remaining
Ink Color
Ink Level
1
Cyan
3
&
Yellow, black, cyan, magenta
1 /
&
Magenta, black, yellow, cyan
Magenta
35%
Do
Magenta, cyan, black, yellow
Black
0.3
CLEAR ALL
Yellow
12 / 를
Which list shows the remaining ink levels in order from least to greatest?
Answer:
yellow, black, cyan, magenta
Step-by-step explanation:
If m∠2 = 42 and m∠6 = 126, what is m∠4?
Answer: 138
Step-by-step explanation:
It’s slightly bigger than 90, so go with D, 138 degrees because 138 is 90 + 48. 48 is slightly more than 45, which is half of 90. 4 looks about 90 plus half of 90.
if you got a 24/30 on a test what would your grade be
Answer:
24/30 is
Step-by-step explanation:
0.8
Kelly can ride her bike 3 miles in 15 minutes. At this rate, how many miles can she ride in 60 minutes?
Answer:
12 miles.
15*4=60
3*4=12
12 miles
Let A, B, and C be any sets with A ⊆ C and B ⊆ C. Show that A – B = A ∩ (C – B).
Can you help me prove the proof holds true?
I assume A - B is the complement of B in A, i.e. all elements of A that do not belong to B.
To prove equality between two sets, you have to show they are subsets of one another. To prove one set is a subset of another set, you have to show that any element in the first set belongs to the second set.
So, to show that A - B = A ∩ (C - B), you have to prove
• A - B ⊆ A ∩ (C - B)
• A ∩ (C - B) ⊆ A - B
Left to right:
Let x ∈ A - B.
By definition of set complement, x ∈ A and x ∉ B.
Since A ⊆ C, x ∈ C.
So x ∈ C - B, and by definition of set intersection, x ∈ A ∩ (C - B).
This proves A - B ⊆ A ∩ (C - B).
Right to left:
Let x ∈ A ∩ (C - B).
By definition of set intersection, x ∈ A and x ∈ C - B.
By definition of set complement, x ∈ C and x ∉ B.
Again by definition of complement, x ∈ A and x ∉ B means that x ∈ A - B.
This proves A ∩ (C - B) ⊆ A - B.
Both sets are subsets of one another, so A - B = A ∩ (C - B).
A building six story building Is 72 feet tall what is the height of each story.
Answer:
12 feet
Step-by-step explanation:
the total height of the building is 72 feet
the building is divided into 6 stories
we want to find the height of each story
72/6, which is 12
We roll two dice. Find the conditional probability that at least one of the numbers is even, given that the sum is 8.
Answer:
0.599 or 0.6
Step-by-step explanation:
We will be using the alphabets M and N in this solution.
Let M be that one of the number is even
Let N be that the sum is 8
The sample space of these two dice when rolled is 36
Probability of 8 and even numbers is (4,4),(6,2),(2,6)
= 3/36 = 0.08333
Probability of sum of 8 is (4,4),(5,3)(3,5),(6,2),(2,6)
= 5/36 = 0.1389
P(M|N) = 0.08333/0.1389
= 0.599
Approximately 0.6
Answer:
0.6
Step-by-step explanation:
Using the order of operations, what should be done first to evaluate 6+(-577) -8(3)?
O Subtract 7 from -5.
O Multiply 8 and 3.
O Divide 7 by 2.
O Add 6 and -5.
Please help quick
Answer:
the answer is A
Step-by-step explanation:beacuse ik its right
5. A turtle dives towards deeper water at a rate of 8 inches per second. It continues for a total of 16 seconds.
Which expression represents this situation?
A 16(-8)
B. -16(-8)
C. 16/8 ( / means division)
D. 16 / (-8) ( / means division)
6. Marisa has $26 in her purse. She pays $5 for lunch. Which expression represents this situation?
A. -26 + (-5)
B. -26 +5
C. 26 + (-5)
D. 26 + 5
7. Aaron turned on his air conditioning and the temperature in his apartment decreased 6 degrees.
Write an integer to represent the change in temperature.
A 6°
B. -6°
C. 3°
D. -3°
Answer:
5) A 16(-8)
6) C. 26 + (-5)
7) B. -6°
Step-by-step explanation:
5. A turtle dives towards deeper water at a rate of 8 inches per second. It continues for a total of 16 seconds.
Which expression represents this situation?
We are given Maya's diving rate as:
8 inches per second
Because she is diving, the rate carries a negative sign hence, the expression of the situation is:
16 × -8
= 16(-8)
Option A 16(-8) is correct
6. Marisa has $26 in her purse. She pays $5 for lunch. Which expression represents this situation?
Amount she has =$28
She pays = $5
Hence, $26 + (-$5)
= $26 - $5
Option C. 26 + (-5) is correct
7. Aaron turned on his air conditioning and the temperature in his apartment decreased 6 degrees.
Write an integer to represent the change in temperature.
A decrease or drop in temperature is always expressed as a negative sign. Hence,
Option B. -6° is correct
Which integer is 6√ closest to?
Answer:
2
Step-by-step explanation:
you would first take the square root of 6 and get 2.449...
then you would round it to the nearest whole number and get 2
Answer:
2
Step-by-step explanation:
if sqrt(4) = 2 and sqrt(9) =3, then sqrt(6) is between 2 and 3, but closer to 2.
i need help please and thank you !!
Answer:
y=2x-2
Step-by-step explanation:
When looking at the line, you can see the y-intercept is at the point (0,2) so it meets the y-axis at that point. Then, when you look at the pattern between the points on the line, you can see the line has a slope of 2, making the answer y=2x-2
what is the decimal equivalent of the rational number 5/9
Answer:
0.55555556
Step-by-step explanation:
What is the slope of (1,7) and (8,4)
Hi there & welcome to brainly!
Answer:
[tex] \huge{ \boxed{ \bold{ \tt{ \frac{ - 3}{7} }}}}[/tex]
Step-by-step explanation:
[tex] \text{Let \: the \: points \: be \: A \: and \: B}[/tex]
[tex] \rm{ A(1 \:, 7) \longrightarrow \: (x1 \:, y1)}[/tex]
[tex] \rm{B(8 \:, 4) \longrightarrow \: (x2 \: ,y2)}[/tex]
[tex] \underline{ \text{Finding \: the \: slope \: }} : [/tex]
[tex] \boxed{ \rm{slope = \frac{y2 - y1}{x - x1} }}[/tex]
[tex] \rm{↦slope = \frac{4 - 7}{8 - 1} }[/tex]
Remember!
The positive integers are always added and posses the positive ( + ) sign.The negative integers are always added but posses the negative ( - ) sign.The negative and positive integers are always subtracted but posses the sign of the bigger integer.[tex] \rm{↦ \: slope \: = \boxed{ \frac{ - 3}{7} }}[/tex]
Hope I helped!
Best regards! :D
~[tex] \text{TheAnimeGirl}[/tex]
Find the 7th term in the sequence
-4,-8,-16.....
Answer:
-256
Step-by-step explanation:
Each number is being multiplied by 2 so the pattern goes -4,-8,-16,-32,-64,-128,-256. Each number is being multiplied by 2
help help help help heplgnnejg
Answer:
100°
Step-by-step explanation:
x-20+x = 180 ( Supplementary angles)
2x-20=180
2x=200
×=100
x is the larger angle , x=100°
A lake initially contains 3000 fish. Suppose that in the absence of predators or other causes of removal, the fish population increases by 7% each month. However, factoring in all causes, 300 fish are lost each month. How many fish will be in the pond after 5 months
Answer:
2,482 fishes will be in the pond after 5 months
Step-by-step explanation:
First, let us model an equation that is used to determine the fish population after n months:
Let the initial population of the fishes = P₀
Let the population after n months = Pₙ
percentage increase each month = 7%
[tex]P_n = P_{n-1} + 7 \%P_{n-1}\\P_n = P_{n-1} + 0.07P_{n-1}\\P_n = (1.07)P_{n-1}[/tex]
Next, we are told that 300 fishes are lost each month, therefore, the population after n months is given by:
[tex]P_n = (1.07)P_{n-1} - 300[/tex]
Therefore population after 5 months:
n = 5
[tex]P_5 = (1.07)P_{5-1} - 300\\P_5 = (1.07)P_4 - 300[/tex]
[tex]Remember\ P_0 = 3000\\starting\ at\ P_1\\P_1 = (1.07)P_0 - 300\\P_1 = (1.07)(3000) - 300\\P_1 = 3210 - 300 = 2910\\P_2 = (1.07)P_1 - 300\\P_2 = (1.07)(2910) - 300 = 2813.7\\\\P_3 = (1.07)(2813.7) - 300\\P_3 = 3010.66 - 300 = 2710.66\\\\P_4 = (1.07)(2710.66) - 300 = 2600.40\\\\P_5 = (1.07)(2600.40) - 300 = 2482.4\\[/tex]
≈ 2,482 fishes
plz answer the question ASAP
pls help you will get brainliest but you have to show steps
9514 1404 393
Answer:
J 24
Step-by-step explanation:
Count the number of outcomes from the coin toss. There are 2: heads or tails.
For each of those, there are 3 outcomes from the marble pick: R, Y, G. So the tree up to this point has 2·3 = 6 leaves:
head - R
head - Y
head - G
tail - R
tail - Y
tail - G
__
For each of these 6 outcomes so far, spinning the spinner will add 4 more. That will bring the total of possible outcomes to ...
2 × 3 × 4 = 24 . . . outcomes
The short answer is that the total number of outcomes is the product of the numbers of possibilities at each stage.
Answered What is the mean for the set of data? 6, 7, 10, 12, 12, 13
Answer:
10
Step-by-step explanation:
The mean for the set of data 6, 7, 10, 12, 12, and 13 is 10.
What is arithmetic mean?The arithmetic mean is defined as the ratio of the sum of observations to the total number of observations.
The formula for the mean of a given set of data is as follows:
Mean = Sum of Observations/Total number of observations
Given the set of observations as:
{6, 7, 10, 12, 12, 13}
To determine the mean of a set of data, add up all the numbers and divide by the total number of numbers.
So, for the given set of data:
Mean = (6 + 7 + 10 + 12 + 12 + 13) / 6
Mean = 60 / 6
Mean = 10
Therefore, the mean for the given set of data is 10.
Learn more about Arithmetic means here:
brainly.com/question/13000783
#SPJ2
A store is going to make a trail mixture of peanuts and chocolate candies. They want the mixture to sell for $3.20 per pound. Peanuts sell for $4.50 per pound and they are going to use 20 pounds of peanuts. If chocolate candies sell for $2.25 a pound how much of the chocolate candies should they use (round to the nearest pound)?
A) 25 pounds
B) 27 pounds
C) 28 pounds
D) 30 pounds
Find the value of x in the triangle shown below.
=
85°
679
6. The temperature in a city on a Friday was 46.8 degrees Fahrenheit. On Saturday, the temperature was 63.5 degrees Fahrenheit. How much higher was the temperature on Saturday?
Answer:16.7
Step-by-step explanation:subtract 63.5 by 46.8 and you will get 16.7 degrees fahrenheit
If Friday and Saturday have such a temperature of 46.8 and 63.5 degrees Fahrenheit, respectively. Saturday's temperature is 16.7 degrees Fahrenheit lower than Friday's.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
In mathematics, subtraction is defined as the difference between two quantities. The application of subtraction can be used broadly in different applications to find or solve the problems such as finding differences between two quantities and many more.
It is given that the temperature in a city on a Friday was 46.8 degrees Fahrenheit. On Saturday, the temperature was 63.5 degrees Fahrenheit.
The temperature on Saturday is how much less than the temperature on Friday found as,
= 63.5 - 46.8
= 16.7° F
Thus, If Friday and Saturday have such a temperature of 46.8 and 63.5 degrees Fahrenheit, respectively. Saturday's temperature is 16.7 degrees Fahrenheit lower than Friday's.
Learn more about the arithmetic operation here:
brainly.com/question/20595275
#SPJ2
Which probability distribution corresponds with this frequency table?
Answer:
B
Step-by-step explanation:
Do 1.7 and 1.700 have the same value? In a full sentence, explain why or why notw
Answer: Yes
1.7 and 1.700 have the same value because zeros have no value, and without the zeros, 1.700 would turn into 1.7. It is not like there is another number that is not zero after the two zeros either.
four gallons of gasoline cost 14 how much does each cost
Answer:
$3.5
Step-by-step explanation:
14 divided by 4 is 3.5
A rectangular prism has a volume of 1680 cubic centimeter. The area of the base is 140 square centimeters. How long does the height measure?
