Answer:
153.86
Step-by-step explanation:
to get the area of the circle you take the radius to the power of 2 and then multiply with π
when the radius of circle S is half the radius of circle L and circle L has radius 14 inch, then the radius of S is 7.
area = radius² * π = 7² * π = 49 * π
π is approximately 3.14
so 49*3.14 = 153.86
. You are a contractor specializing in small commercial projects. You have been contracted to refinish the restrooms in an office building. In order to lay out a tile pattern for the floor, you need to know how many tiles you will use in each row. The width of the room is 16 feet, 8 inches and the client has chosen a square tile that measures 4 inches on each side. Assuming there is no spacing allotment needed, how many tiles will you use for each row across the room?
The number of tiles is 96
From the question, we have
The width of the room is 16 feet, 8 inches and the client has chosen a square tile that measures 4 inches on each side.
16 feet = 192 inches
Number of tiles = (192*8)/(4*4)
= 96 tiles
The number of tiles is 96.
Multiplication:
The product of two or more numbers is computed by mathematicians using multiplication. In everyday life, it is a basic mathematical operation that is frequently used. We employ multiplication when we must combine groups of like sizes. The operation of multiplication serves as a representation of the fundamental idea of adding the same number repeatedly. The product of two or more numbers is what is obtained when those numbers are multiplied, and the factors are the quantities that are multiplied. Multiplying the numbers simplifies the process of adding the same number repeated.
To learn more about multiplication visit: https://brainly.com/question/5992872
#SPJ9
model the expression on the number line by drawing an arrow -3- 2 1/2
A model of the given expression on a number line is represented by a number line with open circle on point negative 11 over 2 (-11/2) and arrow shaded to the left.
What is a number line?In Mathematics, a number line can be defined as a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.
This ultimately implies that, a number line primarily increases in numerical value towards the right from zero (0) and decreases in numerical value towards the left from zero (0).
From the information provided, we have the following mathematical expression:
x = -3 - 2 1/2
x = -3 - 5/2
x = -11/2 or -5.5.
Read more on number line here: https://brainly.com/question/21832213
#SPJ1
Find the eigenvalues and eigenvectors
Answer:
Step-by-step explanation:
In the past, Jessica got paid $197,980 annually. Since switching to a new career, she has been making 35% more. How much does Jessica make now?
$
thanks if you answer!!!! :")
Answer: $267,273
Step-by-step explanation:
$197,980 × 0.35 (35%) = $69,293
$197,980 + $69,293 = $267,273
Jessica now makes $267,273 annually.
What happens to a parabola when you change certain elements of the equation?
Supoose a<1 compared to the parent function then parabola is wider than the parent function.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Direction the parabola opens the value of p as positive, the parabola opens up.
The focus and vertex both have the same x position, so the distance would be in terms of the y-coordinates only.
Supoose a<1 compared to the parent function then parabola is wider than the parent function
If "a" is a fraction less than one, therefore the parabola becomes wider.
Learn more about conic sections here:
brainly.com/question/12854078
#SPJ1
4. (03.04)
Describe how to determine the average rate of change between x = 1 and x = 3 for the function f(x) = 3x³ +1. Include the average rate of change in your answer. (10 points)
Answer:
39
Step-by-step explanation:
The given function to us is ,
[tex]\longrightarrow f(x) = 3x^3 + 1\\ [/tex]
We need to find the average rate of change between [tex] x=1 [/tex] and [tex] x=3[/tex] .
We can calculate the average rate of change as ,
[tex]\longrightarrow A(x) =\dfrac{f(b)-f(a)}{b-a} [/tex]
So that ,
[tex]\longrightarrow A(x) =\dfrac{f(3)-f(1)}{3-1}\\ [/tex]
[tex]\longrightarrow A(x) =\dfrac{ \{ 3(3)^3 +1 -(3(1)^3+1)\}}{2}\\ [/tex]
[tex]\longrightarrow A(x) = \dfrac{ 81 +1 - 3 -1 }{2}\\[/tex]
[tex]\longrightarrow A(x) = \dfrac{78}{2}\\ [/tex]
[tex]\longrightarrow\underline{\boxed{ A(x) = 39}} [/tex]
JK has endpoints J(-10, 1) and K(2, -2). Point L divides JK into two parts with lengths in a ratio of
2:1.
What are the two possible locations of L?
(-9, 0.5)
(-2, -1)
(-7, 0.25)
(0, -1)
(-6, 0)
(1, -1.5)
(-4,-0.5)
The two possible locations of L are (-2,-1) and (14/3, -5/3).
According to the question,
We have the following information:
JK has endpoints J(-10, 1) and K(2, -2). Point L divides JK into two parts with lengths in a ratio of 2:1.
We know that the following formulas are used to find the coordinates of a point:
x = [tex]\frac{(mx2+nx1)}{(m+n)}[/tex] and x = [tex]\frac{(mx2-nx1)}{(m+n)}[/tex]
y = [tex]\frac{(my2+ny1)}{(m+n)}[/tex] and y = [tex]\frac{(my2-ny1)}{(m+n)}[/tex]
In this case, we have the following values:
x1 = -10 and y1 = 1
x2 = 2 and y2 = -1
m = 2 and n = 1
So, we have:
x = {2*2+1*(-10)}/(2+1)
x = (4-10)/3
x = -6/3
x = -2
For the negative sign:
x = {2*2-1*(-10)}/3
x = (4+10)/3
x = 14/3
x = 4.67
The values of y:
y = {2*(-2)+1*1}/3
y = (-4+1)/3
y = -3/3
y = -1
For the negative sign:
y = {2*(-2)-1*1}/3
y = (-4-1)/3
y = -5/3
y = -1.67
Hence, the two possible locations of L are (-2,-1) and (14/3, -5/3).
To know more about possible locations of L here
https://brainly.com/question/28629720
#SPJ1
Hey can someone please help me out and explain the problem? Look below. Thank you! I’ll give brainly
Yoga pants are on sale for 1/3 off the original price. If a pair of yoga pants normally costs $60, what is sales price?
The sales price of the yoga pants is $20.
How to calculate the price?It should be noted that from the information illustrated, the Yoga pants are on sale for 1/3 off the original price and a pair of yoga pants normally costs $60.
The sales price will be:
= Fraction given × Original price
= 1/3 × $60
= $20
The price is $20.
Learn more about price on:
brainly.com/question/1153322
#SPJ1
Find the next 3 numbers in the sequence: 2, 9, 11, 18, 20, 27, ___, ___, ___
Answer: 29, 36, 38
Step-by-step explanation:
The sequence starts with 2 and proceeds to go to 9, which is a difference of 7.
After 9 it is 11, and the difference is 2.
After 11 it is 18 which is a difference of 7 again.
The pattern is difference of 7, difference of 2.
Since there was a difference of 7 between 20 and 27, the next difference will be 2, which is 29.
So, the pattern is +2, +7, +2 . . .
Therefore, your next three numbers will be 29, 36, 38
A hoyel has 124 pillows.The hotel gets more pillows in 5 styles wiyh 8 pillows of each syyle.Write and solve an equation to find out how many pillows the hotel has in all
Answer:
164 pillows
Step-by-step explanation:
Equation: 124 + 5(8)
can u help me with this
Answer:
Step-by-step explanation:
220.5-(12.8+20.25+18.2+25.5)
220.5-(76.25)
143.75 lbs of ice left
PLEASE URGENT PLEASE
The equation of the line in slope-intercept form is y = 5x-22.
What is slope-intercept form of an equation?The slope-intercept form of a straight line is one of the most common forms used to represent the equation of a line.
The slope-intercept form of an equation is given as
Formula:
y₂-y₁/x₂-x₁ = y-y₁/x-x₁........... Equation 1Where:
y₂ = 4y₁ = 3x₂ = 10x₁ = 5Substitute these values into equation 1
(4-3)/(10-5) = (y-3)/(x-5)1/5 = (y-3)/(x-5) (y-3) = 5(x-5)y-3 = 5x-25y = 5x-25+3y = 5x-22Hence, the equation in slope-intercept form is y = 5x-22.
Learn more about slope-intercept form: https://brainly.com/question/1884491
#SPJ1
A regular polygon has 18 sides. If one of its angles measures (4h − 25)°, what is the value of h?
Answer: h = 46.25
Step-by-step explanation:
You can use the formula below to calculate the value of its interior angle:
n = number of sides = 18[tex]\frac{(n-2)*180}{n} =\frac{(18-2)*180}{18} =\frac{16*180}{18} =160[/tex]
So, each one of its interior angles is equal to 160°. Set that equal to the given angle measure and solve:
[tex]160=4h-25\\\\4h=160+25=185\\\\h=46.25[/tex]
The number of days worked is inversely proportional to the number of people. If it takes 15 people to collect and pile sand for the construction of a classroom in five days, how many days would it take 20 men to complete the task?
15/4 days take 20 men to complete the task.
Given,
In the question:
The number of days worked is inversely proportional to the number of people.
If it takes 15 people to collect and pile sand for the construction of a classroom in five days.
To find the how many days take it 20 men to complete the task?
Now, According to the question:
Based on the given condition:
Formulate:
5 x 15 ÷ 20
Calculate :
5x 15/ 20
Cross out the common factor:
=15/4
Hence, 15/4 days take 20 men to complete the task.
Learn more about Proportional at:
https://brainly.com/question/11202658
#SPJ9
Present value interest rate? You expect to receive $10000 as a bonus after 5years on the job. You have calculated the parent value of this bonus and the answer is $8000 what discount rate did you use in your calculation
The discount rate used in calculator wound be 4.56%.
Given that,
You anticipate getting a bonus of $10000 after five years on the job.
We have the result of your calculation for the parent value of this bonus is $8000. what percentage of a discount rate did you use.
We know that to find the present value of a future sum of money .
PV= FV/(1+r)ⁿ
Here,
PV is present value = $8000
FV is future value = $10000
r is discount rate we have to find
n is time = 5 years
Substitute in the formula,
$8000=$10000/(1+r)⁵
(1+r)⁵=$10000/$8000
(1+r)⁵=1.25
1+r=[tex]1.25^{1/5}[/tex]
1+r=1.0456
r=1.0456-1
r=0.0456
r=4.56%
Therefore, The discount rate used in calculator wound be 4.56%.
To learn more about calculator visit: https://brainly.com/question/15380536
#SPJ1
Which of these equations is linear
A. -3x+y=8
B. y=x²-3
C. 4y-2x³=0
D. 3=xy+9
Answer:
a) -3x + y = 8
Step-by-step explanation:
Now we have to,
→ find which of these equations is linear.
Format of linear equation,
→ Ax + By = C
Then the linear equation is,
→ Ax + By = C
→ -3x + y = 8
Hence, answer is -3x + y = 8.
Answer:
A. -3x + y = 8
Step-by-step explanation:
Definition of a Linear Equation:
A linear equation is an equation for a straight line.The highest power of its variables is always one.Each variable is multiplied by a constant only.A. -3x + y = 8This is a linear equation as the highest power of its variables is one, and each variable is multiplied by a constant only.
B. y = x² - 3This is not a linear equation as the highest power of the term in x is 2.
C. 4y - 2x³ = 0This is not a linear equation as the highest power of the term in x is 3.
D. 3 = xy + 9This is not a linear equation as the x and y variables are multiplied by each other rather than by a constant.
A combination padlock in which a sequence of numbers is used as the "key" to open
the lock. Suppose a combination padlock has 10 digits to choose from for each of the
four sections of the lock.
Does the "key" for a combination padlock involve permutations or combinations?
A. Permutation
B. Combination
The "key" for a combination padlock involves a 210 combination.
What is a combination?
Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order. Permutations and combinations can be mixed up.
Here, we have
A combination padlock has 10 digits to choose from for each of the
four sections of the lock.
so, we apply a combination
¹⁰C₄ = 10! / (6! × 4!)
= (10 × 9 × 8 × 7 × 6!) / (6! × 4!)
= (10 × 9 × 8 × 7)/ 4!
= (10 × 9 × 8 × 7)/ (4 × 3 × 2 × 1)
= 210
Hence, the "key" for a combination padlock involves a 210 combination.
To learn more about the combination from the given link
https://brainly.com/question/28065038
#SPJ1
Tan 5 pi / 9- tan 7 pi / 18 / 1+tan 5pi/ 9 tan 7pi/18
The Mathematical Final Answer:
0
Question 5 (1 point) O O The angles that are marked the same are congruent. One mark congruent to one mark; two marks congruent to two marks; three marks congruent to three marks For the image shown, which of these statements is true? O O TH a HA If vertical angles are congruent, then the lines are parallel. If alternate interior angles are congruent, then the lines are perpendicular. If corresponding angles are supplementary, then the lines are parallel. d If corresponding angles are congruent, then the lines are parallel. b
Answer:
d. If corresponding angles are congruent, then the lines are parallel
Step-by-step explanation:
This is an example of two lines intersected by a transversal. If corresponding angles on both lines are equal, then the lines must be parallel! Think about it! If both of the two-mark angles were 30 degrees, both lines would be pointing in the exact same direction - parallel!
If corresponding angles are congruent, then the lines are parallel thus option (d) is correct.
What are parallel lines?Two lines in the same plane that are equally spaced apart and never cross each other are said two lines in the same plane that are equally spaced apart and never cross each other to be parallel lines.
As per the given two parallel lines and one transversal.
The angle with a single mark is collectively known as the corresponding angle.
If the corresponding angle is the same insure that both lines which intersect at single lines will be parallel.
Hence "If corresponding angles are congruent, then the lines are parallel".
To learn more about parallel lines;
https://brainly.com/question/16701300
#SPJ2
Question 3
Hint: see problem #3 on 3-6
Rollie has a credit Card limit of $4,000. He made the following purchases: $425.36, $358.33,
$377.11, and $90.20.
What is the total amount of purchases?
$
What is Rollie's available credit?
$
LA
N
The total amount of purchases of Rollie is $1,251. Rollie's available credit card limit after spending $1,251 from $4,000 is $2,749.
We are given:
Rollie has a credit card limit of $4,000.
He made the following purchases: $425.36, $358.33, $377.11, and $90.20.
We need to find the total amount of purchases and Rollie's available credit card limit.
To find the total amount of purchases, we need to perform the addition that is add all the expenses:
The total amount of purchases
= addition of all purchases
= $425.36 + $358.33 + $377.11 + $90.20
= $1251
We need to subtract the total amount of purchases from the credit card limit to get Rollie's available credit card limit.
So,
Rollie's available credit card limit
= credit card limit - the total amount of purchases
= $4000 - $1251
= $2749
Thus, the total amount of purchases of Rollie is $1,251. Rollie's available credit card limit after spending $1,251 from $4,000 is $2,749.
To learn more about the addition visit:
https://brainly.com/question/14001425
#SPJ1
The technician at the store worked on the computer for 4.25 hours and charged him $141 for parts. The total was $332.25. Write and solve an equation which can be used to determine x the cost of the labor per hour.
The cost of the labor per hour is $ 45
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The total cost of the parts is = $ 141
The total number of hours worked by the technician = 4.25 hours
The total cost of repair = $ 332.25
Let the cost of the labor be = y
The total cost of labor =
Cost of the labor per hour x Number of hours worked by the technician
The total cost of labor = 4.25y
Now ,
The total cost of repairing the computer =
Total cost of labor + Total cost of the parts
The total cost of repairing the computer = 141 + 4.25y
332.25 = 141 + 4.25y
Subtracting 141 on both sides , we get
4.25 y = 191.25
Divide by 4.25 on both sides , we get
y = $ 45
Therefore cost of labor per hour y = $ 45
Hence , the total cost of labor per hour is $ 45
To learn more about equations click :
https://brainly.com/question/10413253
#SPJ1
Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 5 liters of natural oil for every 6 liters of synthetic oil. In order to make 836 liters of Petrolyn oil, how many liters of synthetic oil are needed?
The liters of synthetic oil that are needed is 456 liters.
How to calculate the liters?From the information, petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 5 liters of natural oil for every 6 liters of synthetic oil.
To make 836 liters of oil, the liters of synthetic oil will be:
= 6 / (6+5) × 836
= 6/11 × 836
= 456
Therefore, 456 liters are needed.
Learn more about ratio on:
brainly.com/question/2328454
#SPJ1
A freight train and a passenger train leave Portland at the same time on parallel tracks heading for Springfield. The passenger train goes 30 mi/hr faster than the freight train, and in 6 hr the passenger train travels three times farther. What is the speed of each train?
The passenger train traveling at 30 mi/hr faster than the freight train and traveling 3 times the distance traveled by the freight train, through the kinematic equations, indicates that the speed of the freight train is 15 mi/hr and the speed of the passenger train is 45 mi/hr.
What is kinematics?Kinematics is the study of the motion of an object without reference to the force that causes the motion.
The speed of the passenger train = 30 + The speed of the freight train
Distance traveled by the passenger train in 6 hours = 3 × The distance traveled by the freight train
Let v represent the speed of the freight train and let d represent the distance traveled by the freight train in 6 hours
From kinematic equations, we get;
Speed of the passenger train = 30 + v
Distance traveled by the passenger train in 6 hours = 3 × d
(30 + v) × 6 = 3•d
6•v = d
Which gives; (30 + v) × 6 = 3 × 6•v
180 + 6•v = 18•v
12•v = 180
v = 180 ÷ 12 = 15
The speed of the freight train is v = 15 mi/hr
The speed of the passenger train = 30 + v
The speed of the passenger train is (30 + 15) mi/hr = 45 mi/hr
Learn more about the kinematic equations here:
https://brainly.com/question/24458315
#SPJ1
Determine an nth degree polynomial that satisfies the aforementioned conditions.
The nth-degree polynomial that satisfies the aforementioned conditions is the polynomial p (x) = -3 (x + 9) (x - 1 - 6i) (x - 1 + 6i).
Given that:
p is of degree 3.
1 + 6i and -9 are zeros of p.
Since 1 + 6i is an imaginary number equal to zero so 1 - 6i must also be the one equal to zero.
So, p (x) = A (x + 9) (x - (1 + 6i)) (x- (1-6i))
p (x) = A (x + 9) (x - 1 - 6i) (x - 1 + 6i) ........ (Z)
Using formula:
(a-b) (a+b) = a² - b²
(a-b)² = a² - 2ab + b²
Assume, x - 1 = a, 6i = b
p (x) = A (x + 9) (x² - 2x + 1 + 36)
As i² = -1
p (x) = A (x + 9) (x² - 2x + 37)
Solving this equation we get,
p (x) = A (x³ - 2x² + 37x + 9x² - 18x + 333)
p (x) = A (x³ + 7x² + 19x + 333) ....... (1)
Given that:
p(2) = -1221
Putting the value of x = 2 and p(2) = -1221 in equation (1).
p(2) = A (2³ + 7(2²) + 19(2) + 333)
=> -1221 = A (8 + 28 + 38 + 333)
=> A = -1221/407
=> A = -3
Putting the value of A = -3 in equation (Z).
Hence, the polynomial p (x) = -3 (x + 9) (x - 1 - 6i) (x - 1 + 6i).
To learn more about the polynomial visit: https://brainly.com/question/11536910
#SPJ1
132.16 kg of beef was placed into 16 packages of equal weight. what is the weight of one package beef?
The weight of one package beef is 8.26kg
What is division of numbers?The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.
For example, if 10 students are to share 100 oranges, if they are to share it equal, then each students will receive 100/10= 10 oranges
Similarly 132.16kg was placed into 16packages of equal weight.
Therefore the weight of each package beef will be 132.16/16= 8.26kg
learn more about division of numbers from
https://brainly.com/question/941863
#SPJ1
What is the equation in standard form 0f the line y=1/9x+5
Answer:
The equation in standard form of the line y=1/9x+5 is y-5=1/9(x-0)
Kyra is participating in
i fundraiser walk-a-thon. She walks| 2 miles in 30 minutes. If she continues to walk at the same rate, determine how
many minutes it will take her to walk 7 miles.
Kyra takes 105 minutes to cover a distance of 7 miles if she walks at a speed of 1/15 miles per minute.
Given,
Kyra is participating in a fundraiser walk-a-thon.
She walks 2 miles in 30 minutes
We have to find the time taken by Kyra to cover 7 miles if she continues the same rate of speed;
Here,
2 miles in 30 minutes
Then,
Speed = distance / time
Speed = 2 / 30
Speed = 1/15 miles per minute
Now,
The time taken to cover 7 miles;
Speed = distance / time
1/15 = 7 / t
t = 7 x 15
t = 105 minutes
That is,
Kyra takes 105 minutes to cover a distance of 7 miles if she walks at a speed of 1/15 miles per minute.
Learn more about rate of speed here;
https://brainly.com/question/18800341
#SPJ1
On a January evening in upstate New York, 8 inches of snow was on the ground. At 11pm, it began snowing 1/4 inch per hour and snowed consistently for 14 straight hours.
The slope of the linear function that models this situation is given as follows:
m = 0.25.
How to obtain the parameters of a linear function?The slope-intercept representation of a linear function is given as follows:
y = mx + b
Hence the coefficients of the function and their meaning are obtained as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the amount represented by the function, i.e., the numeric value of the function when the input variable x assumes a value of 0.In this problem, these parameters are defined as follows:
Intercept of 8, as it was the initial amount of snow on the ground.Slope of 1/4 = 0.25 inches, as it is the amount by which the amount of snow on the ground increases each hour.Hence the linear function modelling the situation is:
y = 8 + 0.25x.
Missing InformationThe problem asks for what is the slope of this situation.
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
Pleaseee help me
a +3> 14 or a -5 ≤3
Answer:
a>11
[tex]a\leq 8[/tex]
Step-by-step explanation:
a+3>14
-3. -3
a>11
a-5<=3
+5. +5
a<=8
Hopes this helps please mark brainliest