Answer:
Internal height is approximately 28.5714285714286 cm
Internal surface area is roughly 9628.57142857143 square cm
Round the values however you need to
==========================================================
Step-by-step explanation:
Work Shown:
1 L = 1000 mL
1 L = 1000 cm^3
60 L = 60,000 cm^3 (multiply both sides by 60)
The cooler has volume of 60,000 cubic cm. Let V = 60000
Assuming the cooler is a rectangular prism (aka a block), then we can say
volume = length*width*height
V = L*W*H
60000 = 60*35*H
60000 = 2100H
2100H = 60000
H = 60000/2100
H = 28.5714285714286 which is approximate
And the surface area (SA) is
SA = 2*(LW + LH + WH)
SA = 2*(60*35 + 60*28.5714285714286 + 35*28.5714285714286)
SA = 9628.57142857143 which is also approximate
Units for the surface area are in square centimeters.
TJ’s Cat Food plans to use tins that are the shape of cylinders. The internal measurements of a tin are shown.
(b ) Work out the volume of cat food that the tin contains.
Answer:
113 cm³
Step-by-step explanation:
The volume of the cat's food that the container would contain = volume of cylinder = πr²h
Where,
π = 3.14
r = ½(6) = 3 cm
h = 4 cm
Volume = 3.14 × 3² × 4
Volume = 3.14 × 9 × 4 = 113.097336
≈ 113 cm³
In elementary school, we learned about opposite operations such as addition and
subtraction, and multiplication and division. In both of these cases, one operation
"undoes" the other.
In this course, we'll begin to explore "opposite" function types. For example, think about a
quadratic function and its key features. What key features do you think its opposite
function will have? Why?
B
Ithi
Answer:
I would say the opposite function would either be a linear function, or have all the terms on one side multiplied by -1
The main features of the opposite function of the quadratic equation are; Reflection and Symmetrical
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are Given a quadratic function and its key features
To Determine: what key features its opposite function will have
The opposite function or inverse functions are reflections of each other over the straight line y = x.
We will find the inverse by switching x and y in the equation as;
f(x) = x² + 5
The inverse would be
x = √f(x) - 5
Once graph those two functions, that will see that they're symetrical that has y=x line by its middle line.
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ2
Ram thinks of a number if he adds 3 to 5 times the number he gets 38. what is the number?
Answer:
7
Step-by-step explanation:
Set up an equation to model the situation. Let (x) represent the unknown number.
(5x) + 3 = 38
Use inverse operations to solve for the unknown,
(5x) + 3 = 38
5x = 35
x = 7
Bud bought 2 kissing fish for $4.75 each. He bought a small aquarium for$19.95. How much did Bud spend? What is the answer
Answer:
29.45
Step-by-step explanation:
Cost of the fish
2 * 4.75 = 9.50
Cost of the tank
19.95
Add them together
9.50+19.95
29.45
Answer:
29.45$
Step-by-step explanation:
total=2×4.75$+19.96$
=29.45$
Find out the values of x and y from the following ordered pairs.
(x + y, 2) = (13, 2x – y)
Answer:
(x, y) = (5,8)
Step-by-step explanation:
Comparing the ordered pairs we get, x+y=13 and 2=2x-y. Solving it we will get, x=5 and y=8
Question 4 of 5
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used
Match each explicit formula to its corresponding recursive formula.
(8) = 5(5)(1-1)
(n) = 3 +5(n-1)
(3) = 5+3(1-1)
7(n) = 3(5)(n-1)
$(n) = 5 +5(n-1)
f(1) = 5
(*) = 3;(n - 1), for 3
(1) = 5
(n) = f(n-1) +5, for n?
f(1) = 5
f(n) = f(n-1) + 3, for n?
Given:
The recursive formulae.
To find:
The correct explicit formulae for the given recursive formulae.
Solution:
If the recursive formula of a GP is [tex]f(n)=rf(n-1), f(1)=a, n\geq 2[/tex], then the explicit formula of that GP is:
[tex]f(n)=ar^{n-1}[/tex]
Where, a is the first term and r is the common ratio.
The first recursive formula is:
[tex]f(1)=5[/tex]
[tex]f(n)=3f(n-1)[/tex] for [tex]n\geq 2[/tex].
It is the recursive formula of a GP with a=5 and r=3. So, the required explicit formula is:
[tex]f(n)=5(3)^{n-1}[/tex]
Therefore, the required explicit formula for the first recursive formula is [tex]f(n)=5(3)^{n-1}[/tex].
If the recursive formula of an AP is [tex]f(n)=f(n-1)+d, f(1)=a, n\geq 2[/tex], then the explicit formula of that AP is:
[tex]f(n)=a+(n-1)d[/tex]
Where, a is the first term and d is the common difference.
The second recursive formula is:
[tex]f(1)=5[/tex]
[tex]f(n)=f(n-1)+5[/tex] for [tex]n\geq 2[/tex].
It is the recursive formula of an AP with a=5 and d=5. So, the required explicit formula is:
[tex]f(n)=5+(n-1)5[/tex]
[tex]f(n)=5+5(n-1)[/tex]
Therefore, the required explicit formula for the second recursive formula is [tex]f(n)=5+5(n-1)[/tex].
The third recursive formula is:
[tex]f(1)=5[/tex]
[tex]f(n)=f(n-1)+3[/tex] for [tex]n\geq 2[/tex].
It is the recursive formula of an AP with a=5 and d=3. So, the required explicit formula is:
[tex]f(n)=5+(n-1)3[/tex]
[tex]f(n)=5+3(n-1)[/tex]
Therefore, the required explicit formula for the third recursive formula is [tex]f(n)=5+3(n-1)[/tex].
The product of two integers is – 729 one of them is 27 find the other.
please.......help......me......!!!
Answer:
-27
Step-by-step explanation:
-729/27 = -27
hope it helps :)
please mark brainliest!!!
What should be done so that the expression will have a value of 28?
6 + 2 + 32 × 2
Answer:
6+2+(32×2)
6+2+(64)
8+64
72
difference between 72 and 28
72-28
=44
add 44 to make the value 28
HELP QUICK PLEASE!
Which postulate, if any, could be used to prove the triangles are congruent?
Hypotenuse-Leg (HL)
Side-Angle-Side (SAS)
O Side-Side-Side (SSS)
The triangles cannot be proved congruent.
Answer:
Side-Side-Side (SSS)
Step-by-step explanation:
Side-Side-Side is a rule used to prove whether a given set of triangles are congruent. The SSS rule states that: If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.
How to find a parallel sides of trapezium length 7.3mm and 5.3mm ,and it's height is 5mm calculate the area of a trapezium
Answer:
31.50 mm²
Step-by-step explanation:
A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs
Characteristics of a trapezoid
It has 4 vertices and edges
If both pairs of its opposite sides of a trapezoid are parallel, it becomes a parallelogram
Area of a trapezoid = 1/2 x (sum of the lengths of the parallel sides) x height
1/2 x ( 7.3 + 5.3) x 5 = 31.50 mm²
Find the distance between the
following points using the
Pythagorean theorem: (5, 10)
and (10, 12)
Answer:
[tex]\displaystyle d = \sqrt{29}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]Step-by-step explanation:
*Note:
The distance formula is derived from the Pythagorean Theorem.
Step 1: Define
Identify
Point (5, 10)
Point (10, 12)
Step 2: Find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(10 - 5)^2 + (12 -10)^2}[/tex][√Radical] (Parenthesis) Subtract: [tex]\displaystyle d = \sqrt{5^2 + 2^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{25 + 4}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{29}[/tex]The tempteture falls from 11 degrees to -2 degrees how much degres fell
What are the coordinates of the midpoint between the points (-4, -9) and (-8, -5)? Select the best answer from the choices provided. A. (-4, -4) B. (-6, -7) C. (-6, -4) D. (-4, -7)
how much ounces are in 22 grams 0.035x
Answer:
0.77 ounces
My apologies if my answer is wrong :)
Answer:
0.77
Step-by-step explanation:
Find the volume of this cylinder. Use 3 for .
10 in
V = r2h
11 in
V [?]in
Answer:
825 in^3
Step-by-step explanation:
The volume of a cylinder is
V = pi r^2 h where r is the radius and h is the height
We are given the diameter of 10
The radius is 1/2 of the diameter of 1/2 (10) = 5
V = (3) * (5)^2 * 11
V = 3( 25)*11
= 825 in^3
Answer: 825 in³
Step-by-step explanation:
Volume = πr²h, where:
π = 3r = 10/2 = 5h = 11Therefore, the volume of this cylinder can be calculated as:
3 · 5² · 11 = 3 · 25 · 11 = 75 · 11 = 825 in³
Please help me answer this question.
Answer:
total candy = 54 bags
y=17
x=37
Step-by-step explanation:
5x + 4y = 253
x-y = 20
x = 20+y
5(20+y) + 4y = 253
100 + 9y = 253
9y = 153
y=17
x=37
At the bulk food store, Jerry bought 200 g of mixed nuts that cost $2.50. What is the cost of 1 g of nuts? show ur work
Step-by-step explanation:
200g=$2.50
1g=?
2.50*1=?*200
2.50/200=?
$0.0125
Can someone please help me with this I’m struggling
Answer:
Equation: [tex]70=(x+3)x[/tex]
x = -10 or x = 7
x = 7 (width can't be negative)
x + 3 = 10
Step-by-step explanation:
Represent the width of the rectangle by x. "The length of a rectangle EXCEEDS the width by 3" means the length is 3 LONGER than the width, so the length is represented by the expression x + 3.
Area = (length)(width)
70 = (x + 3)x
Multiply out the right side.
[tex]70=x^2+3x\\x^2+3x-70=0[/tex]
Factor the left side.
[tex](x+10)(x-7)=0[/tex]
Each binomial could equal 0, so
[tex]x+10=0 \text{ or }x-7=0\\x=-10\text{ or }x=7[/tex]
The negative solution does not make sense as the width of a rectangle.
x = 7, making the length, x + 3 = 10
Answer:
Pls mark this as brainiest
Step-by-step explanation:
Area of the rectangle = length x breadth
consider 'x' to be width
therefore length = x+3
area = (x+3)*x
Area = 70 square
x = 7
x+3 = 7+3
= 10
verification
7 x 10
= 70
11.(02.03)
The table shows the solution to the equation |2x - 31 - 1 = 2:
Step 1 |2x - 3) = 2 + 1
Step 2 12x - 3| = 3
Step 3 2x - 3 = 3 or 2x + 3 = 3
Step 4 2x = 6 or 2x = 0
Step 5 x = 3 or x = 0
Which is the first incorrect step? (1 point)
O Step 1
O Step 3
Step 5
O Solution is correct
Answer:
step number 1 is incorrect.
Step-by-step explanation:
Here is the solution of this equation [2x-31-1=2].
2x-31-1=2
or 2x-31=2+1
or 2x=2+1+31
or 2x= 34
or x=34/2
or x= 17
the answer of this equation is X=17.
Answer:
Step 1
Step-by-step explanation:
Using the theorems and given information, which of the following proves a∥b?
Given: m∠3=(12x+24)∘, m∠5=(10x+40)∘, and x=8
Answer:
m∠3=12(8)+24=120
m∠5=10(8)+40=120
m∠3=m∠5,∠3=∠5
OAmalOHopeO
which linear function shows a direct variation
Answer:
a pod t.v. Ka ssh Mic yummy
What is the quotient in simplest form?
3/4 divided by 5/16
ANSWE QUICK PLS
Answer:
2 2/5
Step-by-step explanation:
3/4 divided by 5/16 = 12/5
12 goes into 5 2 times making
2 2/5
Answer:
2 2/5
Step-by-step explanation:
3/4 ÷ 5/16 =
3/4 · 16/5 =
2 2/5
3/4 divided by 5/16 is equal to 2 2/5.
{(2,1), (4,2) (6,3) (8,4)} is what type of relation?
a. many-to-many
b. one-to-many
c. many-to-one
d. one-to-one
The given relation {(2,1), (4,2) (6,3) (8,4)} is one to many relation.
The other solution for this problem is given below.
The pattern is the sum of the two numbers plus the previous sum, i.e.
12 = 2+5 +(5)
21 = 3+6+ (12)
40 = 8+11 +21
These type of questions are part of reasoning and comes in random competitive exams which have multiple choice questions and therefore you have more than you want.
First , you need to multiply both numbers and then add the first number.
Therefore, 1+4= 1x4+1=5
2+5=2×5+2=12
3+6=3×6+3=21
What is the many to one relation?
A many-to-one relationship is where one entity (typically a column or set of columns) contains values that refer to another entity (a column or set of columns) that has unique values.
Hence,8+11=8×11+8=96
The other solution for this problem is given below.
The Solution for this is
1+4=5
1(4+1)=1(5)=5
2+5=12
2(5+1)=2(6)=12
3+6=21
3(6+1)=3(7)=21
Therefore we get,
8+11=8(11+1)=8(12)=96.
Therefore the given relation is any one to many relation.
To learn more about the relation visit:
https://brainly.com/question/1579288
Question 4(Multiple Choice Worth 4 points)
.
(08.03)Solve the system of equations and choose the correct answer from the list of options.
X + y = -3
y = 2x + 2
a- five over 3, four over 3
b-negative five over 3, negative four over 3
c- negative 3 over 5 negative 3 over 4
D- 3 over 4, 3 over 5
Answer:
Hello,
Answer B (-5/3,-4/3)
Step-by-step explanation:
I am going to use the substitution 's method.
[tex]\left\{\begin{array}{ccc}x+y&=&-3\\y&=&2x+2\\\end {array} \right.\\\\\\\left\{\begin{array}{ccc}y&=&2x+2\\x+2x+2&=&-3\\\end {array} \right.\\\\\\\left\{\begin{array}{ccc}y&=&2x+2\\3x&=&-5\\\end {array} \right.\\\\\\\left\{\begin{array}{ccc}x&=&-\dfrac{5}{3} \\\\y&=&2*(-\dfrac{5}{3})+2\\\end {array} \right.\\\\\\\boxed{\left\{\begin{array}{ccc}x&=&-\dfrac{5}{3} \\\\y&=&-\dfrac{4}{3}\\\end {array} \right.\\}[/tex]
what is the remainder when 3 is synthetically divided into the polynomial -2x^2 + 7x -9
Answer:
-6
Step-by-step explanation:
-6 is the answer .
Hope it helps you
Answer:
-6
Step-by-step explanation:
If you translate ABC 5 units to the right and 2 units down, what will be the location of A’?
A telephone plan charges a regular monthly amount plus charges for the number of minutes of use (x) as shown in the equation y = 0.28x + 65. What are the slope and y-intercept? HELP
Answer:
Slope: 0.28
y-intercept: (0,65)
Answer:
slope: .28 y-int: 65
because y=mx+b m is slope and b is the y intercept
a company's stock was selling at 28 a share. a month later, it was selling at 21 a share. what is the percent loss?
Answer:
25% loss
Step-by-step explanation:
Take the original amount and subtract the new amount
28 -21 = 7
Divide by the original amount
7/28 = .25
Change to percent form
25%
25% loss
Please i need help lllll
Answer:
C
Step-by-step explanation:
A function x values must correspond to one y values.
One y values can correspond to two different x values.
C shows this isn't a function
Can someone help me with this math homework please!
Answer:
Graph number 3 is correct :)
Answer:
It's the 3rd pic
Step-by-step explanation:
It's written in y=mx+b form
the m is slope so 2/3 is the slope. You go up 2 and right 3
b is the y-intercept
hope this helps
