Answer:
C
8×3=24
so the answer is c
A rectangular tank is 100 cm long, 30 cm wide and 12 cm deep.The volume of liquid it will hold is
Answer:
36000cm
V= Length×Width×height
Answer:
[tex]36000 cm^{3} [/tex]
Step-by-step explanation:
Volume = Length * width * HeightRectangular Tank is,
[tex]100cm = long[/tex]
[tex]30cm = wide[/tex]
[tex]12cm = height[/tex]
Let's Solve now
[tex]v = l \times w \times h \\ \: = 100cm \times 30cm \times 12cm \\ = 36000 {cm}^{3} [/tex]
which of the following is the distance between the points (3 -3) and (9 5)
Answer:
10
Step-by-step explanation:
[tex]\sqrt{36 + 64}[/tex]
[tex]\sqrt{100}[/tex]
10
Sal knows the volume of a cylinder is 500 cubic units. He wants to create a cylinder with twice the volume. Which variation of the original cylinder will have a volume of exactly 1,000 cubic units?
find the solutions of the following linear equation 4 x minus 4 upon 2 = 3 upon 2
Dilate the triangle with vertices A (1,2)
B(2,4) C(-1,-2) with a scale factor of 2.
What would be the new ordered pair for
B'?
Answer:
lol i genuinely dunno
Step-by-step explanation:
like B'(4,8) or something
The amount of time needed to complete a certain road trip, t, varies inversely with the speed of a
vehicle, s. At a speed of 68 miles per hour, the trip will be complete in 15 hours. What would the
speed of the car have to be to complete the trip in 17 hours?
Answer:
x = 60
Step-by-step explanation:
t = [tex]\frac{k}{x}[/tex]
15 = k/68
k=1020
~~~~~~~~~~~
17 = 1020/x
x = 1020/17
x = 60
The speed of car must be 60mile/hour, so that the trip will complete in 17 hours.
What is speed?The rate of change of position of an object in any direction is called speed.
How do you calculate speed when distance and time is given?[tex]speed = \frac{distance}{time}[/tex]
According to the given question
At a speed of 68 miles per hour, the trip will be complete in 15 hours.
⇒ Total distance covered in 15 hours = 68 × 15 = 1,020 miles
( because, distance = speed × time)
Therefore, the speed of car to complete the trip in 17 hours
= [tex]\frac{1020}{17} =60miles/hr[/tex]
Hence, the speed of car must be 60mile/hour, so that the trip will complete in 17 hours.
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find the surface area of this figure.
Answer:
148 ft2
Step-by-step explanation:
2×(6×4 + 6×5 + 4×5) = 148 ft2
The discount on a toy is 40% the toy robot is on sale for $54 find the original price
Answer:
The original price is $90.
Step-by-step explanation:
100% - 40% = 60%
[tex]\frac{54}{y} :\frac{60}{100}[/tex]
y × 60 = 54 × 100
60y = 5400
60y ÷ 60 = 5400 ÷ 60
y = 90
Answer:
90
Step-by-step explanation:
If the discount is 40%, we are still paying 100-40% or 60 %
original price * 60% = sale price
original price * .6 = 54
Divide each side by .6
original price = 54/.6
original price =90
Alicia is writing the program for a video game. For one part of the game she uses the rule (x,y) (x - 3,y + 4) to move points on the screen.
Answer:
The output of (-6,0) is (-9,4)
Step-by-step explanation:
Given
[tex](x,y) \to (x -3,y+4)[/tex] --- rule
Required
The output of [tex](-6,0)[/tex]
[tex](-6,0)[/tex] implies that:
[tex](x,y) = (-6,0)[/tex]
So, we have:
[tex](x,y) \to (x -3,y+4)[/tex]
[tex](-6,0) \to (-6 -3,0+4)[/tex]
[tex](-6,0) \to (-9,4)[/tex]
The output of (-6,0) is (-9,4)
assume that supply function is p=c+dQ.When the price per unit of a product is Rs.60,the quantity supplied is 400 but when the price per unit increases to Rs.80,the quantity supplied increases to 600.Find the values of c and d.Also, find the relation between P and Q
is it like this pls don't mind how I snap it
helpppppppppoppppppppp
A)
Replace the letters in the given equation with the corresponding values given in the problem:
A = 10,000 x 2.718^(0.05 x 2)
A = 11,051.59 , rounded to nearest dollar = $11,052
B)20,000 = 10000 x 2.718^(0.05 x t)
Divide both sides by 10,000:
2 = 2.718^(0.05 x t)
Apply exponent rules:
0.05tln(2.718) = 2
Solve for t:
t = ln(2) / 0.05ln(2.718)
t = 13.86 years, rounded to nearest year = 14 years.
Answer:
Step-by-step explanation:
Using [tex]A=Pe^{rt[/tex] as instructed, our equation looks like this:
[tex]A=10,000e^{(.05)(2)}[/tex] which simplifies a bit to
[tex]A=10,000e^{.1[/tex] which simplifies a bit more to
A = 10,000(1.10517) so
A = 11,051.71 Easy. Now onto the second part: solving for the number of years it takes for the investment to double. Setting A equal to 20,000 since 20,000 is 10,000 doubled:
[tex]20,000=10,000e^{.05t[/tex] Begin by dividing both sides by 10,000 to get
[tex]2=e^{.05t[/tex] and take the natural log of both sides to get that exponent down out front, keeping in mind that the natural log will "undo" the e, leaving us with:
ln(2) = .05t and
t = 14 years (that's 13.8 rounded up to the nearest year)
Peter's favorite lunch is a turkey sandwich with carrot sticks. Last week, he bought 1.68 pounds of turkey and split it evenly among 7 sandwiches. How much turkey did Peter use for each sandwich?
Plz solve this question
Show the steps you need to take to solve it.
Answer:
V = 378y³
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsGeometry
Volume of a Rectangular Prism: V = lwh
l is lengthw is widthh is heightStep-by-step explanation:
Step 1: Define
Identify variables
l = 9y
w = 7y
h = 6y
Step 2: Find Volume
Substitute in variables [Volume of a Rectangular Prism]: V = (9y)(7y)(6y)Multiply: V = (63y²)(6y)Multiply: V = 378y³___________________________________
Problem:What is the volume of this rectangular prism?Formula for volume (v):[tex]\quad\quad\quad\quad \boxed{\tt{v = lwh}}[/tex]
Given that:[tex]\quad\quad\quad\quad\tt{length (l)= 9y}[/tex]
[tex]\quad\quad\quad\quad\tt{width(w)= 7y}[/tex]
[tex]\quad\quad\quad\quad\tt{height(h)= 6y}[/tex]
Solution:[tex]\quad\quad\quad\quad\tt{v = lwh}[/tex]
[tex]\quad\quad\quad\quad\tt{v = (9y)(7y)(6y)}[/tex]
[tex]\quad\quad\quad\quad\tt{v = (9y)(42 {y}^{2}) }[/tex]
[tex]\quad\quad\quad\quad \underline{\tt{v = 378 {y}^{3} }}[/tex]
Hence, the final answer is:[tex]\quad\quad\quad\quad \underline { \boxed{\tt{ \color{magenta}v = 378 {y}^{3} }}}[/tex]
___________________________________
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✍︎ C.Rose❀
Suppose you are in fort Simpson, northwest territories. Find the GST on each item. a) a digital camera that costs $89.97 b) a cordless phone that costs $24.97 c) a soccer ball that costs $17.99
Answer:
Step-by-step explanation:
j
2 1/4 X 1 2/3 x 1/6
calculate and write as a mixed number
will mark brainliest
Step-by-step explanation:
everything can be found in the picture
What is the product?
Answer:
The first one
Step-by-step explanation:
The product[tex]-4.\left[\begin{array}{c}8&-1&-5&9\end{array}\right][/tex] is equal to[tex].\left[\begin{array}{c}-32&4&20&-36\end{array}\right][/tex]. Option A is correct.
We have to find the product of[tex]-4.\left[\begin{array}{c}8&-1&-5&9\end{array}\right][/tex].
To do this we need to multiply -4 with each element in the matrix.
-4×8 = -32
-4×-1 =4
-4×-5=20
-4×9=-36
Now the matrix becomes [tex].\left[\begin{array}{c}-32&4&20&-36\end{array}\right][/tex].
Hence, the product[tex]-4.\left[\begin{array}{c}8&-1&-5&9\end{array}\right][/tex] is equal to[tex].\left[\begin{array}{c}-32&4&20&-36\end{array}\right][/tex]. Option A is correct.
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which expression is equivalent to 6-(-8)
which expression is equivalent to 6-(-8)
Given the first three terms of a linear sequence: 3x – 2;x+9; 2x + 5 Determine the value of x.
Answer:
x = 5
Step-by-step explanation:
The difference between consecutive terms will be equal , then
a₂ - a₁ = a₃ - a₂ , that is
x + 9 - (3x - 2) = 2x + 5 - (x + 9) ← distribute parenthesis on both sides
x + 9 - 3x + 2 = 2x + 5 - x - 9 , simplify both sides
- 2x + 11 = x - 4 ( subtract x from both sides )
- 3x + 11 = - 4 ( subtract 11 from both sides )
- 3x = - 15 ( divide both sides by - 3 )
x = 5
Answer:
x = 5
Step-by-step explanation:
Each new term is 1 greater than the previous term. Therefore:
x + 9 = (3x - 2) + 1 Equivalent to x + 9 = 3x - 2 + 1, or:
9 + 2 - 1 = 2x, or 2x = 10
Thus, x = 5
Check by substituting 5 for x as indicated:
3x - 2 becomes 13 (which means the next term must be 14)
x + 9 becomes 14, and
2x + 5 becomes 15
and these consecutive sequence terms are {13, 14, 15}
geomeTry, writing equations of parallel lines from graphs
Put these numbers in order from least to greatest.
9.5,9 3/10, and 9.9
Solve the system of equations.
2x + 2y + 3z = 3
6x + 3y + 37 = 3
2x + 5y + z = 6
Answer:
1. x=3/2-y-3z/2
2.x=-y/2-17/3
3.x=3-5y/2-z/2
Step-by-step explanation:
i gusse
Complete the frequency distribution table below.
Answer:
.............soooooooooooooooerrrrrrrrrrrrryyyyyyyyyyyyyyy.......... iiiiiiiii........ doooooooonnnnnnnnntttttttt......... kkkknnnnnooooowwww
anyone solve this pls :)
your ans is here........
Which is NOT an example of continuous data?
A)
time it takes to cut the grass
B)
Lifetime (in hours) of a flashlight battery
C)
weights of dogs in animal shelter
D)
number of cheeseburgers sold yesterday at a drive-thru
Answer:
Solution
Height is not an example of a continuous variable.
D) The number of cheeseburgers sold yesterday at a drive-thru is not an example of continuous data.
Here, we have,
Continuous data refers to numerical data that can take on any value within a certain range or interval. It typically involves measurements or quantities that can be expressed as real numbers.
A) The time it takes to cut the grass can be measured in minutes or seconds, and it can take on any value within a range. This is an example of continuous data.
B) The lifetime (in hours) of a flashlight battery is a continuous variable. It can take on any value within a range, such as 5.3 hours, 10.7 hours, or any decimal or fractional value.
C) The weights of dogs in an animal shelter can be measured in pounds or kilograms and can take on any value within a range. This is also an example of continuous data.
D) The number of cheeseburgers sold yesterday at a drive-thru is a discrete variable. It represents a count or a whole number, such as 50 cheeseburgers, 100 cheeseburgers, etc. Discrete data involves distinct values and is not continuous.
Therefore, option D is not an example of continuous data.
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Determine the equation of the line that passes through A(2,-5) and B(6,-3).
Answer:
y = 1/2x - 6
Step-by-step explanation:
y2 - y1 / x2 - x1
-3 - (-5) / 6 - 2
2/4
= 1/2
y = 1/2x + b
-3 = 1/2(6) + b
-3 = 3 + b
-6 = b
write a linear equation in one variable for each of the following situations:
Answer:
i. y = 4
ii. p = 45
iii. m = 5
Step-by-step explanation:
(a) In triangle PQR, PQ = QR. So that,
Perimeter = PQ + PR + QR
40 = (2y + 3) + (5y - 2) + (2y + 3)
= 2y + 3 + 5y - 2 + 2y + 3
40 = 9y + 4
40 - 4 = 9y
36 = 9y
y = [tex]\frac{36}{9}[/tex]
y = 4
(b) The age of Rahim's father is p years. Since he is 29 years older than Rahim, we have;
p = 16 + 29
p = 45
Rahim's father is 45 years old.
(c) Cost of a chair = RM 5.90
Cost of m chairs = RM 5.90 x m
= RM 5.90m
Amount paid = RM 50 - RM 20.50
= RM 29.50
Thus,
RM 5.90m = RM 29.50
5.90m = 29.50
m = [tex]\frac{29.50}{5.90}[/tex]
= 5
m = 5
The number of units of chairs bought is 5.
please help me! i need this to pass!
Answer:
option E, C
Step-by-step explanation:
From the graph we will find the equation of g(x).
g(x) is a parabola with vertex ( h, k) = ( 0, 9)
Standard equation of parabola is , y = a (x - h)² + k
y = a (x - 0)² + 9
y = ax² + 9 ---------- ( 1 )
Now we have to find a .
To find a we will take another point through which the parabola passes .
Let it be ( 3, 0).
Substitute ( 3 , 0 ) in ( 1 ) => 0 = a (3 )² + 9
=> - 9 = 9a
=> a = - 1
Substitute a = - 1 in ( 1 ) => y = -1 x² + 9
=> y = - x² + 9
Therefore , g(x) = -x² + 9
Now using the table we will find h(x)
[tex]h(x) = 4^{x}[/tex]
So g(x) = -x² + 9 and [tex]h(x) = 4^{x}[/tex]
Option A : both function increases on ( 0, ∞ ) - False
[tex]\lim_{x \to \infty} g(x) = \lim_{x \to \infty} -x^2 + 9[/tex]
[tex]= - \lim_{x\to \infty} x^2 + \lim_{x \to \infty} 9\\\\= - \infty + 9\\\\=- \infty[/tex]
g(x) decreases on ( 0 , ∞)
[tex]\lim_{x\to \infty} h(x) = \lim_{x \to \infty} 4^{x}[/tex]
[tex]= \infty[/tex]
h(x) increases on ( 0, ∞)
option B : g(x) increasing on (- ∞, 0) - False
g(x) = -x² + 9
g( -2 ) = - (-2)² + 9
= - 4 + 9 = 5
g ( -5) = - ( -5)² + 9
= - 25 + 9 = - 14
As the value of x moves towards - ∞ , g(x) moves towards - ∞
Therefore g(x) decreases on (- ∞, 0)
Option C: y intercept of g(x) is greater than h(x) - True
y intercept of g(x) = ( 0 , 9 )
y intercept of h(x) = ( 0 , 1 )
Option D : h(x) is a linear function - False
Option E : g(2) < h(2) - True
g(x) = -x² + 9
g(2) = -(2)² + 9 = - 4 + 9 = 5
h(x) = 4ˣ
h(2) = 4² = 16
find the sum of the arithmetic progression (AP) 1,3,5,...,101.
Answer:
दवणडतडडथवणतणलतवलडथलडद
Answer:
2,601
Step-by-step explanation:
the sum of AP = 51/2 × (1+101)
= 51/2 × 101 = 2,601
What is the perimeter, P, of a rectangle that has a length of x + 8 and a width of y - 1?
Op = 2x + 2y + 18
OP = 2x + 2y + 14
OP = x + y - 9
OP = x + y + 7
Answer:
P = 2x +2y + 14
Step-by-step explanation:
The perimeter of the rectangle is 2x + 2y + 14.
What is a perimeter?The perimeter of an object is calculated by adding the sides length of the objects.
Given that, the length and width of a rectangle is x+8 and y-1, we need to find the perimeter,
P = 2(length + width)
P = 2(x+8+y-1)
P = 2(x+y+7)
P = 2x+2y+14
Hence, the perimeter of the rectangle is 2x + 2y + 14.
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A cube has square sides with area x2 +24x + 144. What expression represents the surface area of the cube?
Given:
A cube has square sides with area [tex]x^2+24x+144[/tex].
To find:
The expression that represents the surface area of the cube.
Solution:
It is given that,
The area of each side of cube = [tex]x^2+24x+144[/tex]
Number of sides of a cube = 6
Total surface area of the cube is the product of number of sides of the cube and the area of each side. So, the total surface area of the cube is
[tex]SA=6(x^2+24x+144)[/tex]
[tex]SA=6(x^2)+6(24x)+6(144)[/tex]
[tex]SA=6x^2+144x+864[/tex]
Therefore, the expression that represents the surface area of the cube is [tex]6x^2+144x+864[/tex].