Answer:
Tin with open top = 7424 sq.cm.
Tin with a closed top = 8448 sq. cm.
Step-by-step explanation:
Assuming the tin is open at the top.
The outside surface area of the tin is not dependent on the level of cake mixture.
Base area = 32^2 sq. cm = 1024 sq.cm
4 sides faces, each of
side area = 32*50 = 1600 sq. cm.
Total surface area of tin (excluding top)
= base area + 4 side area
= 1024 + 4*1600 sq. cm
=7424 sq. cm.
If there is a cover and the area is to be included,
total surface area including cover
= base area + top area + side areas
= 1024 + 4*1600 + 1024 sq.cm
= 8448 sq. cm.
based on the function h(t), what will be the account value five years after the account is opened?
Answer:
Option B
Step-by-step explanation:
f(t) = 5000
g(t) = 250t
h(t) = f(t) + g(t) = 5000 + 250t
After 5 years, the amount of money in the account is:
h(t = 5) = 5000 + 250(5) = 5000 + 1250 = 6250$
What is 5d - 10 = 20
Answer:
d = 6
Step-by-step explanation:
5d - 10 = 20
Add 10 to each side
5d - 10+10 = 20+10
5d = 30
Divide by 5
5d/5 = 30/5
d = 6
Answer:
d = 6
Step-by-step explanation:
5d - 10 = 20
Add 10 to both sides of the equation
5d = 30
Divide both sides of the equation by 5
d = 6
Hope this helps :)
SOMEONE PLZZZ HELP ME WITH THIS QUESTION!! I'd be immensely grateful :/
Answer:
Step-by-step explanation:
First let's find the value of x :
We khow that the area of this triangle is 400 and it is given by the product of the base and the height over 2
the base is x the height is 2x Let A be the area : A= (2x*x)/2 =2x²/2 =x² so x²= 400 ⇒ x= 20≥ 0 because it's a distanceLet's find the hypotenuse :
The pythagorian theorem :
h²= x²+(2x)² h²= x²+ 4x²h²= 5x² x=20⇒ h²= 5*(20)²h²= 2000h= 20[tex]\sqrt{5}[/tex] ≥0 because it is a distanceMultiply. (5x+7)^2 :)
Answer:
The answer is B.
Step-by-step explanation:
You can expand it in a simplier way using :
[tex] {(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2} [/tex]
So for this question :
[tex] {(5x + 7)}^{2} \\ = {(5x)}^{2} + 2(5x)(7) + {(7)}^{2} \\ = 25 {x}^{2} + 70x + 49[/tex]
Answer:
B. 25x^2+70x+49
Step-by-step explanation:
To multiply we can use a method called FOIL. In this method, we multiply the first terms of each binomial, then the outer terms (first and last), then the inner terms (2nd and 3rd), and finally the last terms (2nd and last). The two binomials in this case are (5x+7)(5x+7).
So this means we first multiply 5x*5x, then 5x*7, then 7*5x, and finally 7*7. Multiplying these out we get 25x^2 + 35x + 35x +49. Finally, combining like terms we get 25x^2+70x+49, which is our answer.
What is the product? [ 4 2 ] x [ -2 5 7 -1 ]
Answer:
The fourth option is correct [6 18]Step-by-step explanation:
This problem has to do with matrix multiplication.
we have a row matrix multiplying a 2x2 matrix, this will result to a row matrix
=[4*-2+2*7] and [4*5+2*-1]
=[-8+14] and [20+-2]
=[6 18]
Answer:
c. (6,18)
Step-by-step explanation:
Un ascensor sube desde el primer piso al quinto piso, baja al segundo, sube al octavo. Si cada piso tiene 3 metros de altura, ¿cuántos metros recorrió el ascensor?
Answer:
El ascensor recorrió unos 39 metros
Step-by-step explanation:
Segun la pregunta cada cada piso tiene 3 metros de altura, por lo tanto para calcular los metros que recorrió el ascensor tenemos que hacer el siguiente calculo:
metros desde el primer piso al quinto piso=3 metros*4=12 metros
metros desde el quinto piso al segundo piso=3 metros*3=9 metros
metros desde el segundo piso al octavo piso=3 metros*6=18 metros
Por lo tanto los metros que recorrió el ascensor=12 metros+9 metros+18 metros
metros que recorrió el ascensor=39 metros
El ascensor recorrió unos 39 metros
HELP WITH MATH PLS!!!
Answer:
Option A, y=8
Step-by-step explanation:
If you graph each of the equations, you will find that y=8 is the only line that crosses through the point (-3,8)
Also,
If you notice the given point, the y-coordinate is 8 indicating that the point lies on the line that has y as 8
Hope that helps!!
Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the rounded values to calculate the next value. Round your final answer to the nearest tenth.
Answer:
42.1
Explanation step-by-step:
Working out the lenght of the blue-dashed line:
SOH
47 is the Hypotenuse.
the blue line is the adjacent.
adjacent= Cos(30) x47
adjacent= 40.7
Working out x :
40.7 is the opposite this time.
x is the adjacent.
x = 40.7/ Tan(44)
x = 42.1
What two numbers multiply to 1/4 and add to -1?
Answer:Are there any options?
Step-by-step explanation:
Two or more expressions with an Equal sign is called as Equation. Two numbers are x =-1/2 and y=-1/2 whose product is 1/4 and which add to -1.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
We need to find two numbers whose product is 1/4 and add to -1.
Let the two numbers are x and y.
By given,
Two numbers multiply to 1/4
xy=1/4
Two numbers add to -1
x+y=-1
Let x=-y-1
Substitute in equation 1.
(-y-1)y=1/4
-y²-y-1/4=0
Multiply negative on both sides
y²+y+1/4=0
Use quadratic formula
b=1,c=1/4,a=1
y=-1±√1-1/2=-1/2
Now substitute y in x+y=-1
x-1/2=-1
x=-1+1/2
x=-1/2
Hence the two numbers are x =-1/2 and y=-1/2 whose product is 1/4 and which add to -1.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
What does it mean if P(A or B) equals 1?
[tex]P_(_A_o_r_B_)[/tex] = 1
This means that the probability of event A or event B of happening is 1 or certainly would happen.
. (43 x 2) x 5 = 43 x (2 x 5)
what property is this
Answer:
This property is known as the associative property
Step-by-step explanation:
In the associative property, you rearrange the numbers so they make the most sense in what position they are in.
Hope this helps! :)
Answer:
associate property
:<
What are the three main areas of a machine?
Answer:
Well on a machine there are 3 fundamental areas which are the point of operation, the power transmission device, and the operating controls.
You can find more of this information on google if youd like.
What is the equation of the following line? Be sure to scroll down first to see
all answer options
Answer:
B. -1/3x
Step-by-step explanation:
Start with
y = mx + b
The y-intercept is 0, so we have
y = mx
To find m, the slope, start at (0, 0).
slope = m = rise/run
Go up 1 unit and left 3 units. Rise = 1; run = -3.
m = 1/(-3) = -1/3
Now we have
y = -1/3x
Answer: B.
Twice the difference of a number and 5 is equal to three times the sum of the number and 2. Find the number.
Answer:
The number is - 16Step-by-step explanation:
Let the number be x
Twice the difference of a number and 5 is written as
2( x - 5)
three times the sum of the number and 2 is written as
3( x + 2)
Equate them
We have
2(x - 5) = 3(x + 2)
Expand
2x - 10 = 3x + 6
Group like terms
2x - 3x = 16 + 10
- x = 16
Multiply through by - 1
x = - 16
Hope this helps you
In a school auditorium, the number of chairs in a row is the same as the number of rows of chairs. There are 7033 students in the school. If we know that less than 31 chairs were empty, how many chairs were empty after all the students sat down?
Same number of rows to chairs in a row would form a square.
Use the total number of students as the area
Find the number or rows by taking the square root of student:
The square root of 7033 is 83.86
Round up to 84
Total seats would be rows x seats per row:
84 x 84 = 7,056 total seats
7056 seats - 7033 students = 23 empty seats
Find the length of side a
Answer:
a = 8.
Step-by-step explanation:
a^2 + b^2 = c^2
b = 6; c = 10
a^2 + 6^2 = 10^2
a^2 + 36 = 100
a^2 = 64
a = plus or minus 8
Since side lengths can't be negative, a = 8.
Hope this helps!
Differentiate x^(-3)/3-2x^2-x^(-1)
Answer:
-2x^2
Step-by-step explanation:
Simplify
x^-1 - 2x^2 - x^-1
becomes
-2x^2
PLEASE HELP!!!
Here are the prices of five new skateboards, in dollars: 75, 82, 100, 120, 140.
The standard deviation is about $27.
If a sixth skateboard is added to the sample that has a price of $450, what
happens to the standard deviation?
Answer:
standard deviation=143.527
C
Step-by-step explanation:
75, 82, 100, 120, 140.
if we add 450
75, 82, 100, 120, 140,450
standard deviation=143.527
find the mean=sum /count=967/6=161.167
then find the √square difference between each sample and the mean, add up the differences²/6-1
find the square root of the differences=143.527
Answer:
C-the new standard deviation is greater the $27
HELPPPPPPPPP ! In circle O, what is measure of Arc AE? A. 84 B. 96 C. 120 D. 168 BTW I HAVE MORE QUESTIONS UP IF YOU WANT TO HELP!!!!!1
Answer:
arc m AE = 120
Step-by-step explanation:
∠C = 1/2 (AE-BD)
We can fill most of that in with the info we were given:
36= 1/2(AE-48)
Multiply both sides by 2 to get
72 = AE - 48 so
AE = 120°
An oblique cone has a radius of 5 units and a height of 9 units. What is the approximate volume of the oblique cone? Use π ≈ 3.14 and round to the nearest tenth. A)117.8 cubic units B)141.3 cubic units C)235.5 cubic units D)282.6 cubic units
Answer:
Option (C) 235.5 cubic units
Step-by-step explanation:
Data obtained from the question include:
Radius (r) = 5 units
Height (h) = 9 units
Pi (π) = 3.14
Volume (V) =..?
The formula for calculating the volume of an oblique cone is the same as the formula for calculating the right cone. The formula is given below:
V = 1/3πr²h
With the above formula, we can obtain the volume of the oblique cone as follow:
V = 1/3πr²h
V = 1/3 x 3.14 x 5² x 9
V = 3.14 x 25 x 3
V = 235.5 cubic units.
Therefore, the volume of the oblique cone is 235.5 cubic units.
F(x) = 2x+1 and g(x) =x^2-7 find (f-g) (x)
Answer:
(f - g)(x) = -x² + 2x + 8
Step-by-step explanation:
Step 1: Plug in variables
2x + 1 - (x² - 7)
Step 2: Distribute the negative
2x + 1 - x² + 7
Step 3: Combine like terms
-x² + 2x + 8
Answer:
-x^2 +2x +8
Step-by-step explanation:
F(x) = 2x+1
g(x) =x^2-7
(f-g) (x) =2x+1 - ( x^2 -7)
Distribute the minus sign
= 2x+1 -x^2 +7
-x^2 +2x +8
Write the expression in simplest form. (-11/2x+3)-2(11/4x-5/2)
Answer:
-11x+8 or 8-11x
Step-by-step explanation:
Robyn saves up $204 and spends $32.50 on books. She wants to purchase more books from a sale where they cost $8.15 each. Which equation represents the situation? A. 204x=8.15+32.5 B. 8.15x+32.5=204 C. 8.15+32.5x=204 D. 32.5x=204⋅8.15
Answer: B
Step-by-step explanation:
If we assume the no. of books to be x.
Value of more books will be 8.15 x
The equation will be
8.15x + 32.5 = 204
Explain the significance of the equation y = 50x + 20 which represents the hourly cost of a car repair.
The questions doesn't really specify much here is as much I can say.
Since 50 is the slope we can say that this is the hourly cost of a car repair (as stated in the question).
20 represents the y-intercept so this could represent the cost for the technician to look at whats wrong with the car.
Best of Luck!
plz answer this one clip is down below will mark brainiest if get it right thank you
Answer:
Third option is correct.
Step-by-step explanation:
Take a closer look at the box plot given in the question. The range of the values represented in the box plot is starts from where the whiskers begins from our left, and where the whiskers to our right ends. The range of values of the points awarded ranges from 0 - 100, as represented on the box plox. Also,the median is indicated by the vertical line that divides the rectangular box into two. The median point = 70.
Now, examine all the dot plots given as options. The dot plot that has a range of 0 - 100, and a median of 70, is the dot plot that best represents the box plot.
Thus, the third option among the answer choices given would be out answer. The third option shows a dot plot with range of values of points from 0 - 100, and also a median of 70 points.
What is the value of x in the equation 4x +8y=40, when y=0,8?
Answer:
x=8.4
Step-by-step explanation:
4x +8y=40
replace y as 0.8
4x+8*0.8=40
4x+6.4=40
subtract 6.4 from both sides
4x=33.6
divide by 4
x=8.4
Step-by-step explanation:
4x + 8y = 40
Simplify the equation
Divide all terms by 4
We have
x + 4y = 10
Make x the subject
x = 10 - 2y
When y = 0.8
Substitute the value of y into the equation
We have
x = 10 - 2(0.8)
x = 10 - 1.6
x = 8.4
Hope this helps you
Find the area of the regular polygon.
32
Answer: 45
Step-by-step explanation: that is correct
Plz help fast Question 1(Multiple Choice Worth 5 points) (8.01 LC) Two lines, A and B, are represented by the equations given below: Line A: x + y = 6 Line B: x + y = 4 Which statement is true about the solution to the set of equations? There are infinitely many solutions. There is no solution. It is (6, 4). It is (4, 6).
Answer:
(B) There is no solution.
Step-by-step explanation:
Given the two lines A and B where:
[tex]L$ine A: x + y = 6 \implies y=6-x\\$Line B: x + y = 4 \implies y=4-x\\$Therefore:$\\6-x=4-x\\-x+x=4-6\\0=-2\\$Since, $ 0\neq -2,$ there is no solution.[/tex]
The correct option is B.
Answer:
A
Step-by-step explanation:
Just took test, can I have Brainliest.
0.6y + 0.8 = 0.28y + 1.12
Answer:
y = 1Step-by-step explanation:
[tex]0.6y + 0.8 = 0.28y + 1.12[/tex]
Move the variable to L.H.S and change its sign:
[tex]0.6y - 0.28y + 0.8 =1.12[/tex]
Move the constant to R.H.S and change its sign:
[tex]0.6y - 0.28y = 1.12 - 0.8[/tex]
Calculate
[tex]0.32y = 0.32[/tex]
Divide both sides of the equation by 0.32
[tex] \frac{0.32y}{0.32} = \frac{0.32}{0.32} [/tex]
Calculate
[tex]y = 1[/tex]
Hope this helps...
Good luck on your assignment..
Answer:
Hello!
`~~~~~~~~~~~~~~~~~~~~
0.6y + 0.8 = 0.28y + 1.12 =
[tex]y = 1[/tex]
~~~~~~~~~~~~~~~~~`~~~
Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.
Hope this helped you. Brainliest would be nice!
☆_________________❤︎_________________☆
PLZ HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
1²+3
Step-by-step explanation:
I'm not to sure I hope this helped.