A rectangular tank with length 50 cm and width 30 cm contains 36 litres of water. Find the depth of the water.
Answer:
24cm
Step-by-step explanation:
Given data
Length=50cm
Width= 30cm
Volume = 36liters
=36000cm^3
We know that the expression for volume is
V= L*W*H
substitute
36000=50*30*H
36000= 1500*H
H= 36000/1500
H= 24cm
Hence the height is 24cm
A curve is given the equation xy=25 and the equation of a line y=mx+b.
i. Express m in terms of b given that the line and the curve have one and only one point of intersection.
ii. If the line intersects the curve in two distinct points, find the set of values of b, given m=-5
Answer:
Below in bold.
Step-by-step explanation:
i, This is a rectangular hyperbola with symmetry about the line y = -x
If it touches the graph at one point only then
y = 25/x
y = mx + b so
25/x = mx + b
mx^2 + bx + 25 = 0
Using the quadratic formula:
x = (-b + sqrt(b^2 - 25*4*m)) / 2m
Now there's only one value of x so
b^2 - 25*4*m = 0
b^2 = 100m
m = b^2/100.
m = +/-b/10.
ii In this case b^2 > 100m
If m = |-5|
b^2 > 500
b > +/-√500
So b > √500 or b < -√500.
Find the indicated side of the
triangle.
a
7.
30°
D
b = [ ? IV
Help plz i will give brainliest!!
Which two consecutive integers does -√138 lie between?
A:11 and 12
B:12 and 13
C:-11 and -12
D:-12 and -13
Answer:
C:-11 and -12
[tex] - \sqrt{138} \\ = - 11.747 \\ - 11 < x < - 12[/tex]
choose the correct vertical asymptote(s).
Glven the function, f(x) =
x+1
X-4
O x= -4, x= 4
O x= 4
O x= -2, x = 2
O x= 2
If Greg Has 15 Jars of Cookies, and there are 143 cookies IN TOTAL how many cookies are left over after EQUALLY distributing them.
WILL GIVE BRAINLIEST!!!!!!
Answer:
8 cookies left over
Step-by-step explanation:
use long division.
divide 143 by 15.the remainder is 8
What is the quotient of the fractions below? 3/5 divided by 2/3?
A. 2/5
B. 10/9
C. 9/10
D. 5/2
HUURRYYY!!!
Answer:
9/10
Step-by-step explanation:
A scale diagram of an Amoeba (a single celled organism) is 5cm wide, representing the real-life Amoeba's width of 0.1mm. Determine the scale factor of the scale diagram and select the best answer choice below. (note: there are 10 millimeters in 1 cm)
John saved up enough money to buy a $20 can of shoe shine after paying for the $150 pair of Nikes. How much money did he save in all?
Answer:
170$
Step-by-step explanation:
150+20=170
Answer:
Step-by-step explanation:
170
A line that passes through the point (-3,-6) has a slope of 4/3. What is another point on this line
Answer:
3,3
Step-by-step explanation:
Find the distance between the points (1,0) and (2,-2)
Distance = ?
please help!!!!
Answer:
√5
Step-by-step explanation:
use distance formula
a line is reflected. Which of these could be the result? Pls help
Answer:
A
Step-by-step explanation:
Answer:
The answer is A.
Step-by-step explanation:
AP EX
i need help with trigonometric pleasee
Answer:
Step-by-step explanation:
Cos(61) = 0.4848
This is more or less the value of cos(60) which is 1/2
You know you are in trouble when a question says approximately. How approximate is approximately. My guess, and it is a guess, is that this means the nearest degree. That would be 14 degrees. The more exact answer is 13.80 and that zero matters. It is a place holder.
Sin(67) = 0.9205 Again, how approximate is approximate? Try 0.92 as your answer.
Tan (18) = 0.3249 Try tan(18) = 0.3
Combine like terms. Which Pokemon has the correct answer?
-17x + 13x = ?
Answer:
-4x
Step-by-step explanation:
You add -17x and 13x and you get -4x.
Choose the expression that represents a quadratic expression.
A.) 6x4 − 5x3 + 3x2 −7x − 8
B.) 5x3 + 3x2 −7x − 8
C.) 2x2 + 3x − 1
D.) 3x − 1
Answer:
C. 2x^2 + 3x - 1
is the answer
Kaylee read 19 1/2 pages in 3/4 of an hour. If she continues reading at the same rate,
how many pages will she read in an hour?
Answer: The answer is 26.
Step-by-step explanation:
Simple, find the unit rate. That's 19.5 / 0.75 = 26.
or using fractions:
19 2/4 divided by 3/4
78/4 divided by 3/4
78 / 3 = 26
4 / 4 = 1
Unit rate = 26books/1 hour
In a class of 30 students, 6 play an instrument and 17 play a sport. There are 9 students who do not play an instrument or a sport. What is the probability that a student chosen randomly from the class plays neither a sport nor an instrument?
Mathhhhhhhhhhh which one is correct
Answer:
slope = 4
y intercept = -3
Step-by-step explanation:
The equation is put in slope intercept form
Slope intercept form: y = mx + b
where m = slope and b = y intercept
looking at slope intercept form
4 is located where m should be , meaning that the slope is equal to 4 and
-3 is located where b should be , meaning that the y intercept is -3
Therefore the answers are the first and last option choices.
Alice found the area of the figure by breaking apart it apart where the dashed line is drawn. Her work is shown below. area of rectangle = bh = 6(2) = 12 mm2 area of triangle = bh = 2(2) = 4 mm2 area of figure = 12 + 4 = 16 mm2 A figure can be broken into a rectangle and triangle. The rectangle has a base of 6 millimeters and height of 2 millimeters. The triangle has a base of 2 millimeters an height of 2 millimeters. What error did Alice make? She didn’t use the correct formula for area of a triangle. She didn’t use the correct formula for area of a rectangle. She didn’t find the height of the triangle correctly. She didn’t add the areas of the triangle and rectangle correctly.
Answer:
She didn’t use the correct formula for area of a triangle.
Step-by-step explanation:
edg 2021 Sorry for the late answer.
WILL GIVE BRAINLIEST IF BOTH QUESTIONS ARE CORRECT!!!
Answer:
69824.21
¯\_(ツ)_/¯
＼＼ Λ＿Λ This is Memecat. Help
＼( 'ㅅ' ) memecat take over
> ⌒ヽBRAINLY by pasting her
/ へ＼ in 999 other servers
/ / ＼＼ or she will never
ﾚ ノ ヽつ be a meme
/ /
/ /|
(=✪ᆽ✪=)
o(*≧□≦)o
Step-by-step explanation:
Help me please !!!!!!
Answer:
The y-int represents the base price of $200 for airfare from NYC
The slope represents a cost of 30 cents per mile traveled
If the base cost for airfare changed to $50 and the cost per mile is unchanged, the new equation would be y=50+0.30x
If the cost per mile changed to 50 cents, the new equation would be y=200+0.50x
THIS IS VERY IMPORTANT I WILL GIVE BRAINLIEST TO THE PERSON WHO DOES ALL 5 QUESTIONS FOR ME.
Answer:
Step-by-step explanation:
406525%Answer:
Q1; 40
Q2; 65
Q3; B (25)
Q4; A (?)
Q5; 63
Step-by-step explanation:
I believe
help please i don’t get it
F(x)=400-4/5x find the function and intercepts
Answer:
The x-intercept is (500, 0); the y-intercept is (0, 400).
Step-by-step explanation:
F(x)=400-4/5x is already a function: a function of x.
To find the y-intercept, set x = 0 and calculate F(0):
F(0) = 400 - 0 = 400; the y-intercept is (0, 400).
To find the x-intercept, set F(x) = y = 0 and solve for x:
0 = F(x) = 400 - (4/5)x, or (4/5)x = 400. To isolate x, multiply both
sides by (5/4): x = (5/4)(400) = 500. The x-intercept is (500, 0).
Find the slope of the line y= -2/3x
what is this help me out pls
Answer:
That would be -2n - 1.
Answer:
-2n - 1
Step-by-step explanation:
You have to combine like term which would be 4n,n,and 7n.
Since n doesn't have a variable just add a one in front. So now the equation would be
1n+4n-7n That equation equals -2n
Now just add the remaining number
So that makes the answer -2n -1
The function P(h)= 2h- 15 represents the profit a company makes selling h hot dogs. Which is the most appropriate domain of the function?
a : all positive intergers
b : all positive real numbers
c : all positive rational numbers
d : all positive irrational numbers
The requried most appropriate domain for the function P(h) would be the set of all non-negative real numbers. The domain is b, all positive real numbers.
What is a domain?The domain is defined is a set of values of the independent variable for which there is a certain value of the dependent variable exists in the range of the function.
The function P(h) = 2h - 15 represents the profit a company makes selling h hot dogs. In general, the domain of a function represents the set of all possible input values for which the function is defined.
In this case, the function can be defined for any non-negative value of h, since the company can sell any number of hot dogs, including zero. However, the function may not be defined for negative values of h, since it does not make sense to talk about selling a negative number of hot dogs.
Learn more about the domain here:
https://brainly.com/question/28135761
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WILL GIVE BRAINLIEST!!!
Question 5(Multiple Choice Worth 1 points)
(07.01 MC)
A box has 6 beads of the same size, but all are different colors. Tania draws a bead randomly from the box, notes its color, and then puts the bead back in the box. She repeats this 3 times. What is the probability that Tania would pick a yellow bead on the first draw, then a blue bead, and finally a yellow bead again?
1 over 216
1 over 36
1 over 6
1 over 2
Answer:
multiply 1/6 by 1/6 by 1/6 essentially
(1/6)^3
1/216
Step-by-step explanation:
Each specific bead color has (each time) a probability of being drawn.
Hence the final probability is 1/216
Answer:
1 over 216
Step-by-step explanation:
1-point free throw 2-point field goal he made 35 shots he scored 62 points how many of each shot does he make in 1 minute write the two equations for the problem
Answer:
x + y = 35 equation 1
x + 2y = 62 equation 2
He made 8 1 point free throw
He made 27 2 point field goal
Step-by-step explanation:
let x = 1 point free throw
y = 2 point field goal
two equations can be derived from the question
x + y = 35 equation 1
x + 2y = 62 equation 2
Subtract equation 1 from 2
y = 27
Substitute for x in equation 1
x = 35 - 27 = 8
He made 8 1 point free throw
He made 27 2 point field goal