Answer:
56
Step-by-step explanation:
3. A large tank is partially filled with a solution. The tank has a faucet that allows solution to enter the tank at a rate of liters per minute. The tank also has a drain that allows solution to leave the tank at a rate of liters per minute. (a) What expression represents the change in volume of solution in the tank in 1 minute?
(b) What is the change in volume of the solution after 15 seconds? Show necessary work.
(c) What does the change in volume after 15 seconds mean in the real world? Answer in complete sentences.
Answer:
-3 1/20
Step-by-step explanation:
-3 1/20 is the first answer
find the value of X, y and z
ans: x=50 y= 50 z=50
The value of x , y and z in the parallel line is 50 degrees.
How to find the angle in parallel line?When parallel lines are crossed by a transversal line, angle relationships are formed such as vertically opposite angles, alternate interior angles, alternate exterior angles, adjacent angles, corresponding angles etc.
Therefore, let's use the angle relationships to find the angle, x, y and z as follows:
Therefore,
x = 360 - 310(sum of angles in a point)
x = 50 degrees
Therefore,
x = y(alternate interior angles)
Alternate interior angles are congruent.
Hence,
y = 50 degrees
Therefore,
x = z(alternate interior angles)
z = 50 degrees.
learn more on angles here: https://brainly.com/question/17043791
#SPJ1
Sara and her friends are going on a day trip to the fair. The total cost for taking the train is $178.75, and the cost of each fair ticket is $15. How much does the trip cost per person if 5 people go?
Answer:
50,75 per person for both tickets
what is the probability of coming up with the correct unscrambling through random letter selection?
the probability of randomly selecting the correct unscrambling would be 1/n!. As the length of the word increases, the probability of randomly selecting the correct unscrambling becomes increasingly small due to the exponential growth of possible arrangements.
The probability of coming up with the correct unscrambling through random letter selection depends on the specific word being unscrambled and the number of possible permutations. In general, the probability can be quite low due to the large number of possible combinations.
To calculate the probability, you would need to know the total number of possible letter arrangements and the number of arrangements that result in the correct unscrambling. Let's assume we have a word with n letters. The total number of possible arrangements is n!, which represents n factorial (the product of all positive integers from 1 to n).
The number of arrangements that result in the correct unscrambling depends on the specific word and the length of the word. For example, if the word has 4 letters, there are 24 possible arrangements (4!). However, only one of those arrangements is the correct unscrambling.
Learn more about probability here:
https://brainly.com/question/31828911
#SPJ11
in Italy the leaning Tower of Pisa currently leans at 13 ft. off the vertical. the tower is 183 ft tall. what is the angle of inclination
The required inclination of the tower of Pisa as 85.95°.
Given that,
in Italy the leaning Tower of Pisa currently leans at 13 ft. off the vertical. the tower is 183 ft tall. what is the angle of inclination is to be determiend.
These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.
Here,
base length is 13 ft,
Hypotenuse length of the tower = 183
According to the question,
Cosx = 13/ 183
x = 85.98°
Thus, the required inclination of the tower of pisa as 85.95°.
Learn more about trigonometry equations here:
brainly.com/question/22624805
#SPJ1
URGENT needs steps on how to solve this problem
Find the first 3 iterations of g(x)=3x if you have an initial value of 2. Fill in the table below with your answers.
g(2)
G^2(2)
g^3(2)
Let's see
\(\\ \rm\longmapsto g(2)=3(2)=6\)
(2,6)\(\\ \rm\longmapsto g^2(2)=6^2=36\)
(2,36)\(\\ \rm\longmapsto g^3(2)=6^3=216\)
(2,216)
A square and a triangle have equal perimeters. The lengths of the three sides of the triangle are 6.1 cm, 8.2 cm and 9.7 cm. What is the area of the square in square centimeters?
Answer:
Area of the square: 36
Step-by-step explanation:
6.1+8.2+9.7=24. Squares have 4 sides so 24/4=6. Area= base times highet, Base=6 Highet=6. 6 times 6=36!
Answer:
A=36 cm²
Step-by-step explanation:
the perimeter of triangle=a+b+c
P=6.1+8.2+9.7
P= 24 cm
P of triangle = P of square ( square has 4 equal sides):
24=4a
a=24/4=6
Area of square : a²
A=6² = 36 cm²
The width of a rectangle is 1.8 meters. the perimeter is 6.6 meters. what is the length?
pls help me . !!!!!!!
The exponents a and b in the simplified expression are:
a = 1
b = 7
How to simplify the expression?Remember the rules for exponents:
\(a^x*a^y = a^{x + y}\\\\a^x/a^y = a^{x - y}\\\\(a^x)^y = a^{x*y}\)
Now we need to use these rules to simplify our expression:
\(\frac{x^2(y^3)^4}{x*y^5}\)
We can rewrite that as:
\(\frac{x^2(y^3)^4}{x*y^5} = \frac{x^2}{x} *\frac{(y^3)^4}{y^5} = x^{2 - 1}\frac{y^{3*4}}{y^5} \\\\= x*y^{12 - 5} = x*y^7\)
Then the values of a and b are:
a = 1
b = 7
Learn more about exponents at:
https://brainly.com/question/847241
#SPJ1
Help asap!! Will give brainlist
The combined area of dark pieces is 253.5 in².
First, Area of 5 light pieces
= length x width
= 3 3/4 x 39
= 15/4 x 39
= 146.25 in²
Now, Area of board
= L x W
= 29 x 39
= 1131 in²
Thus, the combined area of dark pieces
= 1131 - 146.25 x 6
= 253.5 in²
Learn more about Area here:
https://brainly.com/question/30307509
#SPJ1
If m*n means m+7n, determine the value of 5*(1*3)
Answer:
1*3 = 1+7(3) = 22
5*22 = 5+ 7(22) = 159
159 is your answer.
hope this helps!
The value of expression 5 × ( 1 × 3 ) is, 159.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
⇒ m × n means (m + 7n).
Now, We can find the value of 5 × ( 1 × 3 ) as,
⇒ 5 × ( 1 × 3 )
⇒ 5 × (1 + 7×3)
⇒ 5 × (1 + 21)
⇒ 5 × 22
⇒ 5 + 7 × 22
⇒ 5 + 154
⇒ 159
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ5
the diameter of a cylinder is 6m. if the height is triple the radius, what is the volume of the cylinder
The volume of the cylinder is 81π cubic meters.
The volume of a cylinder
Volume = π × radius² × height
The diameter of the cylinder is 6m, we can determine the radius by dividing the diameter by 2
Radius = diameter / 2 = 6m / 2 = 3m
Since the height is triple the radius
Height = 3 × radius = 3 × 3m = 9m
Now we can substitute these values into the volume formula
Volume = π × (3m)² × 9m
Volume = π × 9m² × 9m
Volume = 81π m³
Therefore, the volume of the cylinder is 81π cubic meters.
To know more about volume click here :
https://brainly.com/question/27033747
#SPJ4
Richard, Allan, and Fliss share some money in the ratio 4: 8: 5.
Allan gets £9 more than Fliss.
Work out the amount of money that Richard gets.
Step-by-step explanation:
the ratio is 4:8:5 for Richard, Allan and Fliss.
the sequence is important.
the money pool between them has 4+8+5 = 17 equal units.
Richard has 4 units of these 17, Allan has 8 units, and Fliss has the remaining 5 units.
we don't know the value of such a unit yet.
this we get from the second hint :
Allan gets £9 more than Fliss.
remember, Allan has 8 units, Fliss 5.
so, Allan has 3 units more than Fliss.
that means these 3 units are worth £9.
and that means each unit is worth 9/3 = £3.
Richard has 4 units, that means he has
4×3 = £12
What is a good way for a student to get into study mode?
A.
Always study with a group of friends.
B.
Vary your study patterns to stop boredom.
C.
Always study the same topics.
D.
Always study in the same place. PLS HURRY
Answer:
its B i think
Step-by-step explanation:
Graph the equation.
Y=2x+3
Answer:
bro go to (0,3) and go up 2 and right 1 and place a dot and keep doing that till you cant anymore then go back to point (0,3) and go down 2 left 1 and place a dot and keep doing that till you cant any more then draw a line through the dots simple
Step-by-step explanation:
because 2x is the slope or 2/1x is the slope witch means you go to y intercept 3 or (0,3) and you do rise over run the slope 2/1 rise being 2 run being 1 see simple
what is the distance between points (6,-5) and (2,-2)
Answer:
5.
Step-by-step explanation:
Distance = √(2-6)^2 + (-2-(-5)^2)
= √(16 + 9)
= √25
= 5.
Hello ;)
We can calculate the distance between two points by knowing their coordinates.
Here is the formula :
Let two points \(A(x_{A};y_{A})\) and \(B(x_{B};y_{B})\\\)
The distance between those two points is given by using this formula :
\(AB^{2} =(x_{B}-x_{A})^{2} +(y_{B}-y_{A})^{2}\)
Now, we can use this formula in your exercice.
(2 - 6)² + (-2 - (-5))²
= (-4)² + 3²
= 16 + 9
= 25
Do not forget to do the square root of 25 ;)
So we obtain : \(\sqrt{25}=5\)
The distance between points (6 ; -5) and (2 ; -2) is 5 units of lengh.
:-)
What is the coefficient of the variable in the expression 6 - 4x - 8
+ 2? (2 points)
O 6
O 2
-4
0-8
Question 2
2.nts
Answer:
-4
Step-by-step explanation:
-4x is a term
Coefficient of variable x = -4
Does anyone know the answer to this?
Answer:
it may be smaller because the distance of dab is small than cab
can someone answer this plssssssss
Answer:
y=-5x/2+4
Step-by-step explanation:
4y=-10x+16
y=-5x/2+4
Pam thinks listening to classical music makes people relax. She uses a research assistant (who knows nothing about her hypothesis) to collect data and random sampling so that anyone can participate. Which group will listen to classical music
To determine which group will listen to classical music, Pam will use random sampling so that anyone can participate. This ensures an unbiased selection process and allows for a diverse range of individuals to be included in the study.
To investigate whether listening to classical music makes people relax, it is important to eliminate any potential bias in the selection process. By using random sampling, Pam ensures that participants from various backgrounds and demographics are included, allowing for a more representative sample.
Random sampling involves selecting participants in a way that each individual in the target population has an equal chance of being included. This helps minimize selection bias and increases the generalizability of the findings.
Since Pam's research assistant knows nothing about her hypothesis, they can carry out the random sampling process without any preconceived notions or bias. This ensures that the group listening to classical music will be selected randomly from the pool of potential participants, allowing for an unbiased evaluation of the impact of classical music on relaxation.
By employing random sampling, Pam can obtain a diverse group of participants, which strengthens the validity and generalizability of her study. It allows for a more comprehensive understanding of the relationship between classical music and relaxation, as the results can be applied to a broader population.
Learn more about Random sampling here:
https://brainly.com/question/12719654
#SPJ11
In the balance sheet, mortgage notes payable are reported as both a current and a long-term liability. a current liability only. a current liability except for the reduction in principal amount. a long-term liability only.
In the balance sheet, mortgage notes payable are reported as a long-term liability only.
Mortgage notes payable represent the amount owed by a company for a mortgage loan. These loans are typically long-term obligations that are expected to be repaid over an extended period, often several years. Therefore, mortgage notes payable are classified as long-term liabilities in the balance sheet.
Current liabilities are obligations that are expected to be settled within a short period, usually one year or less. Since mortgage notes payable typically have a longer repayment term, they do not meet the criteria to be classified as current liabilities.
By reporting mortgage notes payable as a long-term liability, the balance sheet provides a clear distinction between the company's short-term and long-term obligations, helping stakeholders understand the company's financial position and obligations over different time horizons.
To learn more about balance sheet click here: brainly.com/question/28446946
#SPJ11
Y=5x
A proportional relationship
Yes, the equation y = 5x represents a proportional relationship
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is y=5x.
In a proportional relationship, the ratio of y to x is constant.
In the given equation the variable x and y has a proportional relationship.
The equation is in the form of y=mx+b
the ratio of y to x is 5, meaning that for every unit increase in x, y increases by 5 units.
Hence, Yes, the equation y = 5x represents a proportional relationship
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ1
If John has an apple, an orange, a pear, a banana, and a kiwi at home and he wants to bring two fruits to school, how many combinations of fruit can he bring
After using the concept of combinations, John can bring 10 different combinations of fruit to school.
To determine the number of combinations of fruit that John can bring to school, we need to calculate the number of ways he can choose 2 fruits from the given options. This can be done using the concept of combinations.
The formula for calculating combinations is:
C(n, r) = n! / (r! * (n - r)!)
Where n is the total number of items (fruits) and r is the number of items (fruits) to be chosen.
In this case, John has 5 fruits (n = 5) and he wants to bring 2 fruits (r = 2) to school.
Using the formula, we can calculate:
C(5, 2) = 5! / (2! * (5 - 2)!)
= 5! / (2! * 3!)
= (5 * 4 * 3!) / (2! * 3!)
= (5 * 4) / 2
= 10
Therefore, John can bring 10 different combinations of fruit to school.
To know more about concept of combinations, visit:
https://brainly.com/question/30514802#
#SPJ11
2 x 2 x 2 x 3 x 5 x 5 is the prime factorization of what composite number?
A. 120
B. 180
C. 450
D. 600
Answer:
D
Step-by-step explanation:
Answer:
Answer is D
Step-by-step explanation:
Ik ya’ll
Elijah and his sister went to the movies. They had $34 altogether and spent $9.50 per ticket. Elijah and his sister bought the same snacks. Which inequality represents the amount that each person spent on snacks?
Write 8/5 as a mixed number.Select the Hint button to view a hint.----------
Answer:
1 3/5
Step-by-step explanation:
8/5 has 1 whole; 5/5. If you subtract 5 from 8 you would get 3.
what is 69% of 69 what is 69% of 69
Answer:
69% of 69 is 47.61 :)
Describe a situation that is defined by the linear equation P = 40 + 22t. ASAP HELP
Answer:
Step-by-step explanation:
P could be the price for working as a dog sitter where you ask for $40 to be payed every time you show to work so you can clean the hair off your clothes at the cleaner after work, plus $22 for every hour t you work .
Exam
A point is chosen at random in the circle. What
percent of the time will the point be in the
shaded region?
Round to the nearest tenth of a percent.
106
Answer:
106/360
29.4%
.................
help asap if you can pls!!!!!
Answer:
SAS, because vertical angles are congruent.