Answer: The area is approximately 314 ft^2
Step-by-step explanation:
Well if the diameter is 20 feet then the radius will be 10 because the radius is half the diameter, and to find the area of a circle, you use the formula
A= [tex]\pi r^{2}[/tex] where A is the area and pi times the radius squared.
We will represent pi by 3.14
A= 3.14* 10^2
A= 3.14 * 100
A = 314
Find the domain of the function. (Enter your answer using interval notation.)
Answer:
[tex](-\infty,-9)\cup(-9,\infty)[/tex]
Step-by-step explanation:
The domain of a rational function is all real numbers except for when the denominator equals 0.
So, to find the domain restrictions, set the denominator to 0 and solve for x.
We have the rational function:
[tex]s(y)=\frac{7y}{y+9}[/tex]
Set the denominator to 0:
[tex]y+9=0[/tex]
Subtract 9:
[tex]y\neq-9[/tex]
So, the domain is all real numbers except for -9.
In other words, our domain is all values to the left of negative 9 and to the right of negative 9.
In interval notation, this is:
[tex](-\infty,-9)\cup(-9,\infty)[/tex]
And we're done :)
evaluate f(x)=-7x+3 when x=-2, x=0, and x=5
Answer:
-7× 2 +3= 17
-7×0+3=3
-7×5+3= -32
The required evaluated values of f(x) = -7x+3 would be 17, 3, -32 respectevily when substitute the values x = -2, x = 0, and x = 5.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
We have been the given expression:
f(x) = -7x+3
To determine the evaluated values of g(x) = 3x when x = -2, x=0, and x=5
We have to substitute x with the given number.
⇒f(x) = -7x+3
Substitute the value of x = -2 in the f(x) = -7x+3
⇒ f(-2) = -7× 2 +3
⇒ f(-2) = 17
Substitute the value of x = 0 in the f(x) = -7x+3
⇒ f(0) = -7×0+3
⇒ f(0) =3
Substitute the value of x = 5 in the f(x) = -7x+3
⇒ f(5) = -7×5+3
⇒ f(5) = -32
Hence, the required evaluated values of f(x) = -7x+3 would be 17, 3, -32 respectevily when substitute the values x = -2, x = 0, and x = 5.
Learn more about the algebraic expression here :
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What’s the value of |4|
Answer:
The value is 4
Step-by-step explanation:
This is because the value of an absolute number is always positive so the absolute value of 4 would remain 4.
Answer: 4
Step-by-step explanation: The absolute value is how far a number is away from 0
The value of y is directly proportional to
the value of x. If y = 84 when x = 16, what
is the value of y when x = 75?
Answer:
y = 393.75
Step-by-step explanation:
Proportions:
84 ⇔ 16
y ⇔ 75
y = 75*84/16
y = 393.75
I just need to find this data set out, please anyone?
Answer:
Ok so...
Mean: 68.76
Median: 72
Range: 85
Step-by-step explanation:
12. A road race is 15 kilometers long. After the starting line, there are water stations every
0.3 kilometer. How many water stations are there?
Answer:
50
Step-by-step explanation:
Given
there is 1 water station at every 0.3 KM
If there are n water stations at every 0.3 KM
then KM covered by them = n*0.3 = 0.3n
given that total KM covered is 15 km
Thus,
0.3n = 15
=> n = 15/0.3 = 50
Thus, there are 50 water stations.
two fifths of the square of a number j
Answer:
2j²/5
Step-by-step explanation:
We know that j has to be squared so j², and to find 2/5's of that number we need to multiply it by 2/5.
j²×(2/5)
Now to simplify it we can multiply the j² to the numerator.
2j²/5
A company ships bowling balls in rectangular prisms that are 190% of the volume of the balls. If a truck carries 30 large boxes full of bowling balls, and those boxes are 35in. x 26in. x 26in., and the bowling balls are 8.5 inches in diameter, then how many bowling balls will be in the 25 truck shipment.
Answer:
b
Step-by-step explanation:
Write the expression 6 - 15 as an equivalent addition expression
Answer:
6 + (-15)
Step-by-step explanation:
6 - 15 would also be written as 6 + (-15). If you distribute the '+' into the '-15', you would get the negative 15.
1 * -15 = -15
So, 6 + (-15) would be the equivalent addition expression.
Hope this helps.
Can someone help me with this question please
Answer:
3 or 4
Step-by-step explanation:
Answer:
6 m and 18 m
Step-by-step explanation:
There are 2 similar triangles in the diagram
lamppost/ lamppost's shadow/ line from end of shadow to top of lamppost
Nick/ Nick's shadow/ line from end of shadow to top of Nick
Therefore the ratios of corresponding sides are equal.
Note the shadow of the lamppost = 12 + x, thus
[tex]\frac{6}{2}[/tex] = [tex]\frac{12+x}{x}[/tex] ( cross- multiply )
6x = 2(12 + x) = 24 + 2x ( subtract2x from both sides )
4x = 24 ( divide both sides by 4 )
x = 6
Thus
Nick's shadow is 6 m long
Lamppost's shadow is 12 + 6 = 18 m long
Given the demand equation 6x+p-50=0 and the supply equation 6x-p+14=0 where p is the unit price in dollars and x represents the quanity demanded in units of a thousand, determine the equilibrium quanity and equilibrium price
Answer:
The equilibrium quanity and equilibrium price is 3 Thousand units and 32 dollars respectively.
Step-by-step explanation:
Market equilibrium occurs in those markets in which the quantity demanded by consumers equals the quantity supplied by firms. In this state, the equilibrium point has its corresponding equilibrium quantity and price. That is, the equilibrium point is that point where, for a given price, the quantity supplied is equal to the quantity demanded.
The supply and demand curves represent the quantities that consumers are willing to buy and producers are willing to sell at that price respectively.
Being:
demand equation: 6x+p-50=0 ⇒ 6x= 50 - p ⇒ [tex]x=\frac{50 - p}{6}[/tex] the supply equation 6x-p+14=0 ⇒ 6x= p - 14 ⇒ [tex]x=\frac{p-14}{6}[/tex]Since when the market reaches equilibrium, the quantity demanded equals the quantity supplied and x representing the quantity demanded in units of thousand, then:
[tex]\frac{50 - p}{6}=\frac{p-14}{6}[/tex]
Solving, you get:
[tex]6*\frac{50 - p}{6}=p-14[/tex]
50 - p= p -14
50 - p +14 = p
50 +14= p + p
64= 2*p
[tex]p=\frac{64}{2}[/tex]
P=32 dollars
This value is the equilibrium price. Replacing this value in the demand and supply equation, the equilibrium quantity is obtained, which should be the same for both cases:
demand equation: [tex]x=\frac{50 - 32}{6}[/tex] ⇒ x= 3 Thousand unitsthe supply equation [tex]x=\frac{32-14}{6}[/tex] ⇒ x=3 Thousand unitsSo, the equilibrium quanity and equilibrium price is 3 Thousand units and 32 dollars respectively.
In its graphical representation, the equilibrium point can be seen as that point where the supply and demand curves intersect. You can see this in the attached image, where the blue line represents the supply and the red line the demand.
nzmxmhxmxnmxhsk6xmxhxmx
Answer:
Yeah
Step-by-step explanation:
Hope that helped
What’s the axis of symmetry for f(x)=2(x-3)^2+6
Answer: The axis of symmetry is x=3.
100 POINTS !!
describe the transformation f(x)=9
a. translation 8 units right b. none. c. translation 8 units up.
d. translation 8 units down.
e. translation 8 units left.
Answer:
b. none
Step-by-step explanation:
All the other answers have the number 8 in it which the equation does not have.
The ratio of adults to students on a class field trip is 2 to 5. If there are 12 more students than adults, which proportion and solution represent this situation
So, there are 3 more "parts" of students than of adults (5 - 2), right?
Those 3 parts are made up of 12 people.
12/3 = 4 people per part
2(4) = 8 adults
5(4) = 20 students
Answer:
2/5=8
Step-by-step explanation:
Question 2 (1 point)
During the third week of practice Ellison's cross country team ran 6 miles less than triple the number of miles they ran the
first week. If they ran m miles in practice the first week, write an expression that represents the number of miles that
the cross country team ran during the third week.
a
3-6m
3m-6
b
C
6-3m
Od
6m-3
Answer:
first week = m miles
second week = 6 miles less than triple the number of miles they ran the
first week.
Triple of the number of miles they ran the first week = 3 * m = 3m
Therefore = 3m - 6
Consider the functions f(x) = 3x - 5.
Solve for x when f(x) = -17
Answer: -4
Step-by-step explanation: f(x)= 3x - 5 | f(x) = -17
If you write the equation in this form: -17 = 3x-5 Than add +5 to each side and divide it by 3 you'll get x=-4 Which is definitely the answer.
The pizza has an area of 78.5 in². What is the minimum width of a placemat that can be placed underneath it so that the pizza does not touch the table? Use 3.14 for pi.
Answer:
10 inStep-by-step explanation:
This problem bothers on the mensuration of flat shapes, circles and square.
we know that the pizza has a circular profile
and the place-mat has a square profile.
Step one:
let us solve for the radius of the pizza
[tex]area-of- pizzza= \pi r^2\\\\ 78.5= 3.142*r^2\\\\r^2= 78.5/3.142\\\\r^2= 24.98\\\\r= \sqrt{24.98} \\\\r=4.998\\\\r= 5 in[/tex]
Step two:
from inspection we know that the width of the place-mat is same as the diameter of the pizza
hence diameter of pizza
= 2r
=2*5
=10 in
Which two values of n make this equation true? |n|= 3
Answer:
n= 3 and n = -3
Step-by-step explanation:
In general
|n| = a <=> n = a or n= -a (for n and a are real numbers)
Please Help Fast!! 15 Point and brainiest if correct
If a < b, then dividing both sides by a positive number will not flip the inequality sign. The inequality flips if you divide both sides by a negative number.
So if a < b, then a/3 < b/3 as well.
Answer: Less than sign (first choice)10 ft
8 ft
5 ft
4 ft
8 ft
17 ft
What is the volume of the figure? Enter the answer in the box.
Answer:
5ft
Step-by-step explanation:
because you divide the quotent the the base and the reslut is divided by the top left and the left
The quotient of a number t and 4.2 is at most 15.
Answer:
[tex]t \leq 63[/tex]
Step-by-step explanation:
Quotient of two numbers also means the result of the two numbers after division.
If the quotient of a number t and 4.2 is at most 15., this can be expressed using the inequality;
[tex]\dfrac{t}{4.2}\leq 15[/tex] (note that at most 15 means that the highest value we can have is 15 after taking the quotient of the number hence the reason of the inequality sign.)
On solving the inequality for the variable t
[tex]\dfrac{t}{4.2}\leq 15\\\\multiply \ both \ sides \ by \ 4.2\\\\\dfrac{t}{4.2}* 4.2\leq 15 * 4.2\\\\t \leq 63[/tex]
Hence t is at most 63
question 1 parent functions graph
Answer:
c. Square Root
If you want me to explain, let me know!
The table shows the distance y (in miles) that you travel on a road in x minutes. What type of function best models the data?
Time (minutes), x Distance (miles), y
0 0
20 15
40 30
60 45
80 60
constant function
linear function
absolute value function
quadratic function
Answer:
Linear Function
Step-by-step explanation:
Given
The table showing values of x and y
Required
Determine the type of function
To determine the type of function, the table represents;
One will need to determine the table equation.
Start by solving for the slope;
[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]
When x - 0; y = 0 and When x = 80; y = 60.
This gives
[tex]m = \frac{0 - 60}{0 - 80}[/tex]
[tex]m = \frac{- 60}{- 80}[/tex]
[tex]m = \frac{3}{4}[/tex]
The formula is determine as follows;
[tex]y - y_1 = m(x - x_1)[/tex]
When x - 0; y = 0; m = 3/4; This gives
[tex]y - 0 = \frac{3}{4}(x - 0)[/tex]
[tex]y = \frac{3}{4}(x - 0)[/tex]
Open Bracket
[tex]y = \frac{3}{4}x - 0[/tex]
[tex]y = \frac{3}{4}x[/tex]
The above is an example of a linear equation.
Hence; option B answers the question
1. Define and give a visual example of the Commutative Property.
2. Explain the process ( Every Step ) that you would use to simplify the following expression.
7 ( c + 3 ) + -4 (3c -2 )
Jacob wanted to purchase a boat. The dealership offered the following payment terms for Jacob: a $800 down payment and $275 a month for 36 months. If Jacob makes all the payments on time, he will be refunded $400. What will be the total cost of the boat, if Jacob makes all of his payments on time?
Answer:
$10,700
Step-by-step explanation:
The total cost of the boat if Jacob makes all of his payments on time is $10,300
The total cost of the boat is the sum of the total amounts paid less the amount refunded for swift payment
Total amount paid = $800 + ($275 x 36) =
$800 + $9900 = $10,700
Amount refunded = 400
Total cost = $10,700 - $400 = $10,300
A similar question was solved here : https://brainly.com/question/14309005?referrer=searchResults
given:x-5>-2. choose the solution set.
Answer:
[tex]x > 3[/tex]
Step-by-step explanation:
[tex]x - 5 > - 2 \\ x > - 2 + 5 \\ x > 3[/tex]
First you collect like terms
Then you add
A) 5y +32=72
B) K/2+24=29
Step-by-step explanation:
A)y=8
B)k=10
5y=72-32
5y=40
y=8
1/2k+24=29
k+48=58
k=58-48
k=10
What is the value of x3 . y4 when x
3 and y = 0?
Answer:
0Step-by-step explanation:
[tex]x^3 \times y^4\\\\x = 3\\y =0 \\\\(3)^3\times 0^4\\\\3^3\times\:0^4\\\\\mathrm{Apply\:rule}\:0^a=0\\0^4=0\\\\=3^3\times\:0\\\\\mathrm{Apply\:rule}\:0\times\:a=0\\=0[/tex]
Answer:
We need to calculate [tex]x^3*y^4[/tex] for x = 3 and y = 0.
First thing we do is replacing x and y on [tex]x^3*y^4[/tex]:
[tex]3^3*0^4[/tex]
Now, we only need to solve it:
[tex]3^3*0^4[/tex] = [tex]27 * 0[/tex] = [tex]0[/tex]
Remember that [tex]3^3 = 3*3*3[/tex]
if y varies directly with x and y = -12 when x = 6 find x when y = -4 A -2 B 3 C -3 D 2
Answer:
D
Step-by-step explanation:
Given that y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = - 12 when x = 6, thus
- 12 = 6k ( divide both sides by 6 )
- 2 = k
y = - 2x ← equation of variation
When y = - 4, then
- 4 = - 2x ( divide both sides by - 2 )
2 = x → D