Answer:
Height A = [tex]12\frac{3}{4}[/tex] inches
Step-by-step explanation:
Height A = Sum of widths of all sections of the cabinet + thickness of the wood
Height A = [tex]1\frac{1}{4}+\frac{1}{4}+4\frac{1}{2}+\frac{1}{4}+4\frac{1}{2}+2[/tex]
= [tex](1+4+4+2)+(\frac{1}{4}+\frac{1}{4}+\frac{1}{2}+\frac{1}{4}+\frac{1}{2})[/tex]
= [tex]11+(\frac{1+1+2+1+2}{4} )[/tex]
= [tex]11+\frac{7}{4}[/tex]
= [tex]11+1\frac{3}{4}[/tex]
= [tex]11+1+\frac{3}{4}[/tex]
= [tex]12\frac{3}{4}[/tex] inches
solve the literal equation for C. -3x+2c=-3
Step-by-step explanation:
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Answer:
c = 3/2x + −3/2
Step-by-step explanation:
Let's solve for c
-3x+2c=-3
Step 1: Add 3x to both sides.
2c −3x + 3x = −3 + 3x
2c = 3x −3
Step 2: Divide both sides by 2.
2c = 3x−3
2 2
c = 3/2x + −3/2
Answer:
c = 3/2x + −3/2
Write an equivalent expression for: 5(5x - 9) *
Answer:
25x - 45
Step-by-step explanation:
5(5x - 9)
Distribute
5*5x - 5* (9)
25x - 45
Answer:
➛ 25 x - 45
Step-by-step explanation:
➛ 5 ( 5 x - 9 )
Using distributive property multiply both by 5
➛ 5 × 5 x - 5 × -9
➛ 25 x - 45
guys please help me :(((((((((( crying
Answer:
18
Step-by-step explanation:
2/6
4/12
6/18
Answer:
x = 18
Step-by-step explanation:
We can write ratios
2 2+4
---- = -----
6 x
Using cross products
2x = 6(2+4)
2x = 6(6)
2x = 36
Divide by 2
2x/2 = 36/2
x = 18
Jordan is going to a friends birthday party. He couldn’t decide if he should wear a coat so he checked the weather. The weather report showed it would be -11 degrees in the morning but by the afternoon there would be a drastic increase of 73 degrees. Write an equation that represents this situation. Then find the temperature in the afternoon.
plz reply within five minutes and plz give an explanation on your process and how did you approach your problem and ofc loving the question.
Answer:
-11 + 73
62°
Step-by-step explanation:
Morning temperature = - 11
Afternoon temperature = morning temperature + 73°
We obtain the temperature in the afternoon by adding the 73° increase in temperature temperature the morning temperature ;
Hence, temperature in the afternoon will be :
-11° + 73° = 62°
Hence, after oon temperature will be 62°
Let W be part of the solid sphere of radius 4, centered at the origin, that lies above the plane z = 2. Set up an integral in cylindrical coordinates to find the volume of the region. Do NOT actually integrate.
Answer:
V = ∫∫∫rdrdθdz integrating from z = 2 to z = 4, r = 0 to √(16 - z²) and θ = 0 to 2π
Step-by-step explanation:
Since we have the radius of the sphere R = 4, we have R² = r² + z² where r = radius of cylinder in z-plane and z = height² of cylinder.
So, r = √(R² - z²)
r = √(4² - z²)
r = √(16 - z²)
Since the region is above the plane z = 2, we integrate z from z = 2 to z = R = 4
Our volume integral in cylindrical coordinates is thus
V = ∫∫∫rdrdθdz integrating from z = 2 to z = 4, r = 0 to √(16 - z²) and θ = 0 to 2π
Answer:
[tex]\displaystyle V = \int\limits^{2 \pi}_{0} \int\limits^{2\sqrt{3}}_{0} \int\limits^{\sqrt{16 - r^2}}_2 {r} \, dz \, dr \, d\theta[/tex]
General Formulas and Concepts:
Multivariable Calculus
Cylindrical Coordinate Conversions:
[tex]\displaystyle x = r \cos \theta[/tex][tex]\displaystyle y = r \sin \theta[/tex][tex]\displaystyle z = z[/tex][tex]\displaystyle r^2 = x^2 + y^2[/tex][tex]\displaystyle \tan \theta = \frac{y}{x}[/tex]Volume Formula [Cylindrical Coordinates]:
[tex]\displaystyle V = \iiint_T \, dV \rightarrow V = \iiint_T {r} \, dz \, dr \, d\theta[/tex]
Step-by-step explanation:
Step 1: Define
Identify given.
Solid sphere w/ radius 4 centered at (0, 0, 0) → x² + y² + z² = 4²
Plane z = 2
Step 2: Find Volume Pt. 1
Find bounds of z.
[Sphere] Substitute in plane z:∴ 0 ≤ r ≤ 2√3
Step 2: Find Volume Pt. 2
[Sphere] Substitute in plane z:∴ 0 ≤ θ ≤ 2π
Step 3: Find Volume Pt. 3
[Sphere] Substitute in cylindrical conversions:∴ 2 ≤ z ≤ √(16 - r²)
Step 4: Find Volume Pt. 4
Substitute in variables [Volume Formula - Cylindrical Coordinates]:∴ the volume of the region is found with the integral above.
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Learn more about multivariable calculus: https://brainly.com/question/17203772
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Topic: Multivariable Calculus
Unit: Triple Integral Applications
The cost C of manning household is partly constant and partly varies as the number of people, the cost is 70,000 and for 10 people, the cost is 90,000 find the expression for C in terms of n ii. The weekly cost for 12 people
Answer:
4.196.754
Step-by-step explanation:
god bless stay safe po
Factor completely
9 – 25x^2
Pls help i will mark the brainliest!
Answer:
more
Step-by-step explanation:
The answer is (5x+3)(-5x+3)
Solve for x in the equation x squared + 2 x + 1 = 17.
Step-by-step explanation:
quadratic formula
-b+-√b^2
2a
-2+-√2^2-4×1×-16
2×1
-2+-√68
2
either
x= 3.125
or
x= -5.125
I need this by to night somebody help pls
Answer:
0° < x < 83.76°
Step-by-step explanation:
Assuming a pyramid with a square base, and the height of the pyramid varies from almost zero to almost infinity.
The largest value for the angle x+2 is when the height of the pyramid is almost zero.
Then the face is an isosceles triangle with base 13 and height 14.
The angle opposite the base is then
x+2 = 2*atan(6.5/7) = 2* 42.879 = 85.76°
when the height is almost infinite, the angle is almost zero.
Therefore the range of the value of x
0° < x < 83.76°
A hotel spent $504 on new hair dryers. The hair dryers cost $8 each. The hotel has 6 floors with the same number of rooms on each floor. If every room gets a new hair dryer, how many hair dryers will be left over?
Answer:
504/8=63/6=10.5
10 rooms per floor with 3 leftover
Let g(x) be the indicated transformation of f(x). Write the rule for g(x) f(x)=3x + 1: translation 2 units right
Answer:
3x +3
Step-by-step explanation:
3x + 1 + 2units(on the x axis)= 3x +3
Please help it’s summer school and i need serious help
Answer:
B
Step-by-step explanation:
I am majorly stuck lol
The area of a rectangle is given by the expression 8x3 + 26x2 + 31x + 15. If the width of the rectangle is 2x + 3, what is the expression that represents the length of the rectangle?
What is the solution to flog4(x+8) - 427
Answer:
4270
Step-by-step explanation:
What is the value of y - X?
A. 20
D
B. 30
O
E.
о O
C. 45
Answer:
30
Step-by-step explanation:
that is the procedure above
Please help me with this as quickly as possible
3 hour 30 minutes : 36 minutes
1 hour = 60 minutes
3 hour = 3×60 minutes = 180 minutes
3hour 30 minutes = 180 minutes + 30 minutes
= 210 minutes
210 minutes : 60 minutes
3 hours 30 minutes : 60 minutes = 6:2
Ricardo has a wooden board that measures 5 feet in length. How many 1/4 foot long pieces can Ricardo cut from the board
Answer:
20 pieces of wood
Step-by-step explanation:
5 divided by 1/4: 20
another way to look at it is if there are 4 of these pieces in a foot, and there are 5 feet, 4 times 5 is also 20.
Really struggling with this, can someone please help me out and give me a brief explanation?
Answer:
the answer is 220
Step-by-step explanation:
the formula for surface area of a rectangular prism is A=2(wl+hl+hw)
w = width
h= height
l = length
and when you have those lengths, you have to substitute.
CAN SOMEONE HELP ME PLS
Help me wit this rq…………..
Which scenario is modeled by the equation (x) (0.6) = 86 dollars and 46 cents?
Answer:
Answer: (C)A picnic table is on sale for 60 percent off.
Step-by-step explanation:
well someone copied me but okay :[
A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 423 gram setting. Is there sufficient evidence at the 0.05 level that the bags are underfilled or overfilled
y-4=7(x-6)y−4=7(x−6)
Answer:
I believe the question was written twice on accident
y=7x-38
Step-by-step explanation:
y-4=7(x-6)
y-4=7x-42
y=7x-38
Can someone please help me? I'm stuck.
Answer:
Sure i can help you
Step-by-step explanation:
Answer:
Sure! What’s the question?
Step-by-step explanation:
Find the area of the triangle.
24 in.
32 in.
Answer:
A = 384 inches^2
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh where b is the length of the base and h is the height
A = 1/2 ( 32) *(24)
A = 384 inches^2
Answer:
The area of triangle is 384 inches².
Step-by-step explanation:
Given : -Base of triangle = 24 inchesHeight of triangle = 32 inches To Find :-Area of triangleFormula Used :-Area of triangle = 1/2 × base × height
Solution :-Using Formula
Area of triangle = 1/2 × base × height
substitute the values into the formula
Area of triangle = 1/2 × 32 inches × 24 inches.
multiply,
Area of triangle = 1/2 × 768 inches ²
Divide, we get
Area of triangle = 384 inches ²
Therefore, The area of triangle is 384 inches².
[tex]2 + y = 1[/tex]
Answer: y= -1
Step-by-step explanation:
2+y=1
y=1-2
y=-1
Solve for x: 12x+5=3x+35
Answer:
The answer would be 3.33.
Step-by-step explanation:
Simplifying 12x + 5 = 3x + 35
Reorder the terms: 5 + 12x = 3x + 35
Reorder the terms: 5 + 12x = 35 + 3x
Solving 5 + 12x = 35 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation. 5 + 12x + -3x = 35 + 3x + -3x
Combine like terms: 12x + -3x = 9x 5 + 9x = 35 + 3x + -3x
Combine like terms: 3x + -3x = 0 5 + 9x = 35 + 0 5 + 9x = 35
Add '-5' to each side of the equation. 5 + -5 + 9x = 35 + -5
Combine like terms: 5 + -5 = 0 0 + 9x = 35 + -5 9x = 35 + -5
Combine like terms: 35 + -5 = 30 9x = 30
Divide each side by '9'. x = 3.333333333
Simplifying x = 3.333333333
Is this quadratic? If so what form is it?
Answer:
Yes. Factored form.
Step-by-step explanation:
Answer:
yes, and it's in intercept form
Step-by-step explanation:
Hi there!
We are given the function f(x)=-2(x-4)(x+3)
A quadratic function is a function that has a degree of 2 (the highest exponent in the function is to the 2nd power)
There are 3 forms to write a quadratic function:
standard form, which is f(x)=ax²+bx+c, where a, b, and c are free coefficients (numbers)
vertex form, which is f(x)=a(x-h)²+k, where a is a free coefficient and (h,k) is the vertex
intercept form, which is f(x)=a(x-[tex]x_{1}[/tex])(x-[tex]x_{2}[/tex]), where a is a free coefficient and [tex]x_{1}[/tex] and [tex]x_{2}[/tex] are the x intercepts
You may notice that f(x)=-2(x-4)(x+3) is actually in intercept form; a is -2 and [tex]x_{1}[/tex] and [tex]x_{2}[/tex] are 4 and -3 respectively (remember: the formula for intercept form has -[tex]x_{1}[/tex] and -[tex]x_{2}[/tex], but the x intercepts are [tex]x_{1}[/tex] and [tex]x_{2}[/tex]. Therefore, the x intercepts should be the opposites of -[tex]x_{1}[/tex] and -[tex]x_{2}[/tex]).
If the formula is in intercept form, it should be quadratic.
However, if you want to be sure it's quadratic, you can expand the function.
f(x)=-2(x-4)(x+3)
first, multiply the binomials together using FOIL
(x-4)(x+3)
x²-x-12
now multiply x²-x-12 by -2
-2(x²-x-12)
do the distributive property
-2x²+2x+24
It's a quadratic function! The value of the highest exponent is 2 :)
Hope this helps!
Necesito ayuda con este ejercicio hay que determinar el valor de la a: [tex]a^{20} : a^{2x} = a^{12}[/tex]
Answer:
x = 10 + log(1/a^12)/(2 log(a)) + (i π n)/log(a) for n element Z
Step-by-step explanation:
Solve for x:
a^(20 - 2 x) = a^12
Take reciprocals of both sides:
a^(2 x - 20) = 1/a^12
Take the logarithm base a of both sides:
2 x - 20 = log(1/a^12)/log(a) + (2 i π n)/log(a) for n element Z
Add 20 to both sides:
2 x = 20 + log(1/a^12)/log(a) + (2 i π n)/log(a) for n element Z
Divide both sides by 2:
Answer: x = 10 + log(1/a^12)/(2 log(a)) + (i π n)/log(a) for n element Z
Find the array to finish 976 divided by 8. NO LINKS!!!
Answer:
976 ÷ 8 =
8 groups of n = 976
n groups of 8 = 976
122
____
8 | 976
- 8
____
176
- 16
_____
160
- 160
______
0