Answer:
20
Step-by-step explanation:
4r - 3r = 20
r = 20
There you go.
Answer:
r = 20
Step-by-step explanation:
Let's solve your equation step-by-step.
4r − 3r = 20
Step 1: Simplify both sides of the equation.
4r − 3r =20
4r + −3r =20
(4r + −3r) =20 (Combine Like Terms)
r = 20
Hope this helps
The soup pot is 8 inches tall with a radius of 3 inches.
What is the volume of the soup pot?
Answer:The volume of the soup pot is of 226.19 cubic inches.
Step-by-step explanation:
Format of a soup pot:
A soup pot has a cylindrical format.
Cylinder volume:
The volume of a cylinder, with radius r and height g is given by:
The soup pot is 8 inches tall with a radius of 3 inches.
This means that
What is the volume of the soup pot?
The volume of the soup pot is of 226.19 cubic inches.
(5, -2); slope =-1 please help I need answers asap
Answer:
y = - x + 3
Step-by-step explanation:
Assuming you require the equation of the line
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 1 , then
y = - x + c ← is the partial equation
To find c substitute (5, - 2 ) into the partial equation
- 2 = - 5 + c ⇒ c = - 2 + 5 = 3
y = - x + 3 ← equation of line
Find the absolute maximum and minimum values of the following function on the given region R. f(x,y)=5x2+5y2−10x+21; R=(x,y): x2+y2≤4, y≥0
We first compute the partial derivatives of f(x, y):
f(x, y) = 5x² + 5y² - 10x + 21
∂f/∂x = 10x - 10
∂f/∂y = 10y
The critical points of f occur where both ∂f/∂x and ∂f/∂y are equal to zero. This only happens at the point (x, y) = (1, 0). (And this point does lie inside R.)
Next, compute the Hessian matrix H(x, y) for f :
[tex]H(x, y) = \begin{bmatrix}\frac{\partial^2f}{\partial x^2} & \frac{\partial^2f}{\partial x\partial y} \\ \frac{\partial^2 f}{\partial y\partial x} & \frac{\partial^2f}{\partial y^2}\end{bmatrix} = \begin{bmatrix}10&0\\0&10\end{bmatrix}[/tex]
Since det(H(x,y)) = 100 is positive for all x and y, this means the critical point (1, 0) is a local minimum, and we have f(1, 0) = 16.
Next, we check for extrema along the boundary of R, which is comprised of a semicircle with radius 2 and the line segment connecting (-2, 0) and (2, 0).
• Parameterize the semicircular portion by
x(t) = 2 cos(t)
y(t) = 2 sin(t)
with 0 ≤ t ≤ π. Then
f(x(t), y(t)) = 20 sin²(t) + 20 cos²(t) - 20 cos(t) + 21
which is simplifies to a function of one variable t,
g(t) = 41 - 20 cos(t)
Find the extrema of g over the interval [0, π] : we have critical points when
g'(t) = 20 sin(t) = 0
which happens at t = 0 and t = π. At these points, we get local extreme values of
•• t = 0 => x = 2 and y = 0 => f(2, 0) = 21
•• t = π => x = -2 and y = 0 => f(-2, 0) = 61
• Over the line-segment portion, we take y = 0, so f(x, y) again reduces to a function of one variable:
f(x, 0) = 5x² - 10x + 21
Completing the square, we have
5x² - 10x + 21 = 5 (x - 1)² + 16
which has a maximum value of 16 when x = 1 (and this happens to be the critical point (1, 0) we found earlier).
So, over the region R, f(x, y) has
• an absolute maximum of 61 at the point (-2, 0), and
• an absolute minimum of 16 at (1, 0)
no link or bot q bpe
Answer:
(3,7)
Step-by-step explanation:
n will be located in x positive , y positive
A department store sells a pair of shoes with a 15% discount. The original price of the shoes is $75. What is the sale price?
Answer:
$63.75
Step-by-step explanation:
10% = 7.5
5% = 3.75
15% = 11.25
75.00
-11.25
63.75
write the percent as a decimal .84
Answer: 84%
Step-by-step explanation:
11x - 2(x + 3) = 30. (filling up space) iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Answer:
x=4
Step-by-step explanation:
11x - 2(x + 3) = 30
distribute: 11x-2x-6=30
add like terms: 9x-6=30
add 6: 9x=36
divide by 9: x=4
Answer:
x = 4
Step-by-step explanation:
11x - 2(x +3) = 30
11x -2x - 6 = 30
11x - 2x = 30 + 6
9x = 36
9x/9 = 36/9
x = 4
factor by grouping x^3 − 4x ^2 + 6x − 24
Answer:
[tex](x-4)(x^2+6)[/tex]
Step-by-step explanation:
x³-4x²+6x-24 is our equation
Once we factor it we get
[tex](x-4)(x^2+6)[/tex]
determine x+3 is a factor of P(x)=-2x^3-4x^2-7
Answer:
p(0)= -7
Step-by-step explanation:
Pizza Palace sells cheese pepperoni, sausage and mushroom pizzas. Caleb noticed that for every 10 orders of cheese pizza, there were 7 orders of pepperoni pizza, 5 orders of sausage pizza and 8 orders of mushrooms pizza. If there were 35 pepperoni pizzas ordered, how many total pizzas were ordered?
Step-by-step explanation:
cheese : pepperoni : sausage : mushroom =
10 : 7 : 5 : 8
so, in total there are 10+7+5+8 = 30 "business pieces".
to get the total number of pizzas, we need to see how many pizzas are sold per "business piece" ?
we get this from the 35 orders of pepperoni pizzas.
these 35 orders represent 7 "business pieces".
that means 1 "business piece" = 35/7 = 5 pizzas.
that means that 30 "business pieces" are 5×30 = 150
so, in total, 150 pizzas were ordered.
The sampling distribution of the ratio of two independent sample variances selected randomly from normal populations with equal variances is:
Answer: F distribution. chi-square distribution. t distribution. normal distribution.
Step-by-step explanation:
For a particular event, 808 tickets were sold for a total of $3110. If students paid $3 per ticket and no student paid $5 per ticket. How many students tickets were sold?
8.
Identify the point corresponding to Q.
A. Q′ (−4, 1)
B. Q′ (−1, −4)
C. Q′ (−3, −4)
D. Q′ (−4, −3)
Answer:
C. Q′ (−3, −4)
D. Q′ (−4, −3)
Step-by-step explanation:
From looking at the graph it looks like the answer would be
Q= (3, -4) if the X-axis goes first
Q= (-4, 3) if the Y-axis goes first
**PLEASE HELP OMG**
The square below is dilated by a scale factor of 3/2. Find the perimeter of the dilated square.
Answer:
W4 is our new scaled side
Step-by-step explanation:
Look at scale factor like this and it helps everytime so if it doesn’t help you there different methods.
3/2 has a larger number as a numerator so that means that the shape being scaled will get larger and if the number is smaller than denominator then the scaled figure will get smaller :3
In our case it gets bigger
do 16 divided by 2 which gives us 8 then times that by 3 to get 24
now thats how I solved this problem but if that not how you did it then you can do it your way :3
HOOE THIS HEEELPPED :DDD
I need help... pls.
Answer:
Administer 14 ml, 350mg/125mg=2.8×5ml=14ml
hiiii i need help with this word problem :)
Answer:
A= adult tickets, C=children tickets, S=senior tickets
A-10=C; C+10=A
4C=S
4C+6S+10A=1240, but S=4C and C=A-10
4C+24C+10C+100=1240
38C=1140
C=30 children tickets and $120
A=C+10=40 adult tickets and $400
4C=S=120 senior tickets and $720
$120+$400+$720= $1240.
what is the diameter of a circle that has the circumference of 400
Answer:
400/π
Step-by-step explanation:
Well, we know that the formula for circumference is πd. (d is the diameter) Then, we set up the equation 'πd = 400'. Now, simplifying for d, we get d = 200/π.
Answer:
400/π
Step-by-step explanation:
Evaluate. 3⋅23+52−18÷6 need help ASAP
The required value of the given numerical expression is 118, as evaluated by including the PEMDAS rule in the expression.
What is algebra?Algebra is the analysis of mathematical representations, while logic is the manipulation of those symbols.
The Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction rule is abbreviated as PEMDAS. This rule is used to answer the problem correctly and properly.
The given numerical expression would be below as:
⇒ 3⋅23 + 52 − 18 ÷ 6
Using the PEMDAS rule in the above expression,
⇒ 3⋅23 + 52 − 18 ÷ 6
Apply the multiplication operation,
⇒ 69 + 52 − 18 ÷ 6
Apply the division operation,
⇒ 69 + 52 − 3
Apply the addition operation,
⇒ 121 − 3
Apply the subtraction operation to get
⇒ 118
Therefore, the evaluated value of the given expression would be 118.
Learn more about the PEMDAS rule here :
https://brainly.com/question/20876480
#SPJ5
What is the product of -13/8 and 24/5
Answer:
-7 4/5 or -7.8
Step-by-step explanation:
Product means multiplication
( - 13/8 )( 24/5)
= (-13 · 24)/(8 · 5) negative · positive = negative
= - 312/40
= -7 32/ 40 = -7 4/5 or 7.8
help with khan academy
Someone pls help me with these worksheets.
(Please answer properly, if u don't know, just ignore it)
Answer:
i wrote answer of the question 1 to 4 but i don't know the answer to 5
Answer: 1) (3,0) 2) (4,2) 3) (5,1) not sure about 4 and 5
1) (3,7/2) 2) (1,-4) 3) (-3,2) im bad at word problems, sorry.
Step-by-step explanation: all i can say without sounding confusing is divide on both sides!! <3
let's substract : (2x + 3y) from (8x + 6y)
[tex]\huge\mathfrak\pink{answer} [/tex]
Dan earns £299 over the course of a five-day week. How much is that per day?
Answer:
£59.80
Step-by-step explanation:
299 ÷ 5 = 59.80
59.80 × 5 = 299
Determine whether each sequence is an arithmetic sequence.
a. 3, 6, 12, 24 … [ A. Arithmetic Sequence , B. Not an Arithmetic Sequence ]
b. 1.5, 4.5, 7.5, 10.5, … [ A. Arithmetic Sequence , B. Not an Arithmetic Sequence ]
c. 8, 10, 12, 14, … [ A. Arithmetic Sequence , B. Not an Arithmetic Sequence ]
d. 9, 5, 1, –3 … [ A. Arithmetic Sequence, B. Not an Arithmetic Sequence ]
e. –2, 8, –18, 28, … [ A. Arithmetic Sequence , B. Not an Arithmetic Sequence ]
Answer:
a) A. Arithmetic Sequence
b) A. Arithmetic Sequence
c) A. Arithmetic Sequence
d) A. Arithmetic Sequence
e) B. Not an arithmetic Sequence
Step-by-step explanation:
if there is a common difference it is arithmetic, if there not then it is not arithmetic.
a) d= 3
b)d=3
c)d=2
d)d=-4
e)not arithmetic
Is the point (4, -15) on the line y = -3x - 3
Answer:
yes
Step-by-step explanation:
since the format of ordered pairs is (x,y) we can plug in the values into the equation to see if they are on the line
y = -3x - 3
-15 = -3(4)-3........plug in values
-15 = -12 - 3........multiply
-15 = -15..............subtract
-15 = -15..............this is true
Answer:
yes
Step-by-step explanation:
y = -3x-3
Substitute the point into the equation
-15 = -3(4) -3
-15 =-12-3
-15=-15
This is true so the point is on the line
Whats the answer to 2 1/6 + 3 4/9?
Answer:
4.61
did that help??
Step-by-step explanation:
[tex]2 \dfrac 16 + 3 \dfrac 49 \\\\\\= 2 + \dfrac 16 + 3+ \dfrac 49\\\\\\ = 5+\dfrac{11}{18}= 5 \dfrac{11}{18}[/tex]
148 oz = ________ lb _______ oz
Explain yourself
there is 26 students 15 like maths 13 like english and 9 dont like either
Answer:
yes, yes they do
Step-by-step explanation:
i dont know what you're asking
HELP ME
WHATS THE PERIMETER
Answer:
12
Step-by-step explanation:
divid half of line
Answer:
Perimeter = 60
Step-by-step explanation:
In order to find the perimeter of the given triangle, we must first determine the value of the missing side. We can use the Pythagorean Theorem to find the missing side of the given right triangle.
According to the Pythagorean Theorem: c² = a² + b², where c is the hypotenuse (the side that is opposite of the right angle, 90°), and a and b represent the legs of the triangle. Use the formula to solve for the missing side. Rearrang the formula to isolate the variable, a:
a² + b² = c²
Subtract b² from both sides:
a² + b² - b² = c² - b²
a² = c² - b²
Next, substitute the given values into the formula:
c (hypotenuse) = 26
b (leg) = 24
a² = c² - b²
a² = (26)² - (24)²
a² = 676 - 576
a² = 100
[tex]\sqrt{(a)^{2}} = \sqrt{100}[/tex]
a = 10
The value of the missing side is 10.
Now, we can solve for the perimeter of the triangle:
P = a + b + c
P = 10 + 24 + 26
P = 60
Therefore, the perimeter of the given right triangle is 60.
PLS HELP HELPPPPPPP!!!!!!!!!
Answer:
[tex]18ft[/tex]
[tex] \frac{bm}{ba} = \frac{bn}{bc} \\ \frac{4}{8} = \frac{3}{6} \\ \frac{1}{2 } = \frac{1}{2} [/tex]