The total charge for this job is $12131.04.
Charge per square yard to remove old carpet = $5.99
Charge per square yard to install the new carpet = $4.50
Charge for carpet and pad they selected per square yard = $16.99 and $3.00
Dimension of the living room = 17 1/2 by 20 feet
⇒ 35/2 by 20 feet
Dimension of the hall = 4 by 12 feet
The living room and the hall is in the shape of rectangular.
The formula of the area of the rectangle is
A= length x width
the total area of the living room and the hall is
⇒ (35/2) x 20 + (4 x 12)
⇒ 398 square feet.
The total cost is
⇒ 5.99 + 4.50 + 16.99 + 3. 00
⇒30.48
Thus, the total charge for this job is
⇒398 x 30.48
⇒$12131.04
Total cost (TC) in that is the overall economic cost of production and is made of variable cost, which varies in step with the amount of a terrific produced and includes inputs together with exertions and raw materials, plus fixed cost, which is unbiased of the quantity of an amazing produced and includes inputs that cannot be various in the brief term including homes and machinery, which include probably sunk prices.
Total cost in economics includes the full possibility price (blessings received from the next-nice alternative) of every issue of production as part of its constant or variable prices.
The additional total cost of one additional unit of manufacturing is known as marginal cost.
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Students are going to conduct an experiment to study the effect of a net force applied to an object on the object’s motion. In each trial of the experiment, the students will apply a net force on the object. They also need to take two other measurements. What are the other quantities they should measure in each trial of the experiment?.
For conducting experiment based on effect of a net force , to apply net force on the object two other quantities should be measured in each trial of the experiment is given by velocity and time.
As given in the question,
To conduct a experiment based on the effect of net force applied to an object the dependable quantities are as follow:
Force = mass × acceleration
As object remain same ⇒ mass is constant as object remain same.
And there is change in the acceleration.
Acceleration depends change in velocity over total time taken.
Acceleration depends on velocity and time.
Net force also depends on velocity and time.
Two measurements need to know while conducting trail experiments are velocity and time.
Therefore, to conduct experiment based on effect of a net force , to apply net force on the object two other quantities should be measured in each trial of the experiment is given by velocity and time.
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a manufacturing machine has a 1% defect rate. if 8 items are chosen at random, what is the probability that at least one will have a defect?
a manufacturing machine has a 1% defect rate. if 8 items are chosen at random, then the probability that at least one will have a defect is 0.077255 or 7.72 %
Given data
defect rate = 1%
no of sample = 8
to find out
probability at least one will have a defect solution
we know here probability of defect is
Probability (defect) = 0.01
and n is 8
so
probability (at least one defect is) = 1 - probability (none)
we know probability (none) = 0.99^n
probability (none) = 0.99^8
put this in equation 1
probability (at least one defect is) = 1 - 0.99^8
probability (at least one defect is) is 0.077255 or 7.72 %
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you are constructing a box for your cat to sleep in. the plush material for the square bottom of the box costs 7 dollars per square foot and the material for the sides costs 3 dollars per square foot. you need a box with volume 4 ft3. use x to represent the length of the square base, and use h to represent the height of the box.
The height in terms of x is 4/x², the cost function is C(x) = 7x² + 16/x, and the dimensions for minimum cost are 2/∛7 and ∛14.
a)
It is given that we need to consider the length of the square side to be x ft and the height to be h ft.
The volume of any cuboid
= Length X breadth X height
Here,
length = breadth = x ft
height is h ft.
Volume id 4 ft³
Hence,
x²h = 4
or, h = 4/x²
b)
Since this is a box for the kitten to sleep in, it cannot have any lid.
Hence it will have one square side of area x² and 4 rectangular sides each of area xh
h = 4/x²
Hence,
xh = 4/x
The square bottom costs $7 per ft and the sides cost $4 per sq. ft
Hence cost to make the box
= 7x² + 4 X 4/x
= 7x² + 16/x
Hence, C(x) = 7x² + 16/x
c)
Here,
C(x) = 7x² + 16/x
Hence, to minimize the cost we will equate its first-order derivative with 0 to get
C'(x)= 0
or, 14x - 16/x² = 0
or, 14x³ - 16 = 0
or, 14x³ = 16
or, x³ = 16/14
or, x = 2/∛7
Hence h = 4∛14/4
= ∛14
Therefore, the dimensions are 2/∛7 and ∛14
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Complete Question
You are constructing a box for your cat to sleep in. The plush material for the square bottom of the box costs 7 dollars per square foot and the material for the sides costs 4 dollars per square foot. You need a box with a volume of 4 ft³. Use x to represent the length of the square base, and use h to represent the height of the box.
(a) Determine a formula for the height h in terms of x.
(b) Determine a formula for the total cost C(x) of the materials for the box.
(c) Find the dimensions (in ft) of the box that minimize cost. (length of base and height)
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Given m ||n, find the value of x.
t
(x-17)
(5x-1)
Linear pair of x for the given figure will be 33
Linear pair:
Linear pair of angles are formed when two lines intersect each other at a single point.
The angles are said to be linear if they are adjacent to each other after the intersection of the two lines.
The sum of angles of a linear pair is always equal to 180°.
For the given figure,
m ||n
given angles are (x-17)° and (5x-1)° ,both the angles are linear pair.
using the properties of linear pair,
Sum of the angles will be equal to 180°
that is,
(x-17)° + (5x-1)° =180°
(x + 5x) + (-17 -1) = 180
6x - 18 = 180
6x = 180 + 18
6x =198
x = 198/6
x =33
Thus, the value of x will be 33
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Jessie uses 20 liters of gasoline to travel 200 kilometers how many liters of gasoline will he use on a trip of 700 km.
Answer: 70 liters of gas
Step-by-step explanation:
Answer:
Jesse will use 70 liters of gasoline to travel 700 kilometers.
Step-by-step explanation:
Step one: Find how much gasoline is used for one kilometer.
20/200 = 0.1
0.1 liters of gasoline is used for every kilometer traveled.
Step two: Multiply by 700
0.1 x 700 = 70
Step three: Get your Answer!
Jesse will use seventy liters of gasoline to travel seven hundred miles.
Hope my answer helped, have a great afternoon!
What is the classification of each system?
Drag the answers into the boxes to match each system.
The first system of equations is consistently independent, the second one is inconsistent, and the third one is consistently dependent.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The first system of equations:
4x + y = 8
x + 3y = 8
4/1 ≠ 1/3 = 1 (consistent independent)
The second system:
-4x + 6y = 2
2x - 3y = 1
-4/2 = -6/3 = 2 (incosistent)
The third system:
5x - 2y = 4
5x - 2y = 6
5/5 = -2/-2 ≠ 4/6 (consistent dependent)
Thus, the first system of equations is consistently independent, the second one is inconsistent, and the third one is consistently dependent.
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Find the greatest common factor of 20 and 25. Factors of 201 Factors of 25: ____ Greatest common factor: ____ please help me
Answer:
factors of 20: 1, 2, 4 , 5, 10, 20
factors of 25: 1, 5, 25
gcf: 5
Step-by-step explanation: the common factors of 20 and 25 is 1 and 5. the greater one is 5, therefore the gcf is 5.
hope this helps!! :)
The numbers of pairs of shoes sold during the 10
days of the sale were:
86 84 100 97 96 88 89 60 78 99
For the numbers of pairs of shoes sold in the New
Year sale:
Find the median
The median of the given data is 88.5
The value that, when a dataset is arranged, falls exactly in the middle is the median. It is a measure of central tendency that distinguishes between the values' lowest and maximum 50%. Depending on whether you have an odd or an even number of data points, the processes for calculating the median change.
Given the numbers of pairs of shoes sold during the 10 days of the sale were:
86 84 100 97 96 88 89 60 78 99
We have to determine the median for the given data
The data given must be arranged in ascending order.
60, 78, 84, 86, 88, 89, 96, 97, 99, 100
median = middle most value
∴ 88,89 are middle values
∴ Median =(88+89)/2
= 177/2
= 88.5
Therefore the median of the given data is 88.5
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as a farmer who is interested in data-driven decision-making, you want to find out the effect of 3 fertilizers on the yield of your crop. which of the following hypothesis testing would you use to determine if there is any difference in the yield between the three fertilizers:
For a farmer interested in data-driven decision-making regarding effect of 3 fertilizers on the crop yield the hypothesis testing used to determine any potential difference in the yield between the three fertilizers is ANOVA test (Option C).
Hypothesis testing refers to the statistical inference method utilized to determine if the available data sufficiently supports a particular hypothesis. Hypothesis testing enables decision makes to establish probabilistic statements about population parameters. ANOVA test stands for Analysis of Variance and refers to a statistical test utilized to evaluate the difference between the means of more than two groups. A one-way ANOVA uses one independent variable and a two-way ANOVA uses two independent variables. As the farmers want to evaluate the difference between three fertilizers' effect on crop yield, the appropriate test is ANOVA test.
Note: The question is missing options which are a) Two sample t-tests. b) Paired t-test. c) ANOVA test. d) One sample t-test.
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5. A parabola has a directrix of y = -3 and a vertex
at (2,1). Which ordered pair is the focus of the
parabola?
The ordered pair of the force of the parabola will be (2, -1).
What is the parabola?It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.
A parabola has a directrix of y = - 3 and a vertex at (2,1).
Since the directrix is upward, utilize the condition of a parabola that opens up or down.
(x − h)² = 4p(y − k)
The separation from the concentration to the vertex and from the vertex to the directrix is |p|. Deduct the worth of the directrix from the y direction of the vertex to track down p.
p = − 1 + 1 / 2
p = − 1/2
Then the equation is given as,
(x − 2)² = 4(1/2)(y + 1)
(x − 2)² = 2(y + 1)
The ordered pair of the force of the parabola will be (2, -1).
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An air traffic controller is tracking two planes. To start, Plane A is at an altitude of 3500 feet and Plane B is at an altitude of 1970 feet. Plane A is gaining altitude
at 40.25 feet per second and Plane B is gaining altitude at 65.75 feet per second.
How many seconds will pass before the planes are at the
same altitude?
23.27 seconds
What will their altitude be when they're at the same
altitude?
feet
60.59 seconds will pass before the planes are at the
same altitude.
5953.79 ft is the altitude when they're at the same
altitude.
What is altitude?
The height at which something is relative to a planet's or a natural satellite's surface, like sea level or land
To answer this question, you need to determine the altitude difference and speed difference between plane B and plane A.
The initial altitude difference should be: 3500 feet-1970 feet= 1530 feet.
The speed difference should be: 65.75 ft/s - 40.25 ft/s= 25.5 ft/s
After that, you can determine how long will pass before the plane at the same altitude. The calculation would be:
Final altitude difference= Initial altitude difference + speed difference*time
0 ft= 1530 ft + (25.25ft/s * time)
25.25 time= -1530
time= 60.59 second
To determine the altitude you just need to sample either plane A or plane B. Let's use plane B for an easier initial altitude. The calculation would be:
Final altitude= initial altitude + speed*time = 1970 + 65.75 ft/s *60.59s= 5953.79 ft
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Write an equation of the line that passes through (1, 2) and is perpendicular to the line y = x + 4.
The equation of the line is y = -x +3
We need to calculate the line which is perpendicular to y = x +4 and passes through the point (1, 2)
The given equation is y = x +4
Comparing this equation with the general equation of the line, y = mx +c, we get the slope of the equation as 1
Now, When two lines are perpendicular to each other, the product of their slopes is -1.
So, the slope of the required equation is -1.
Now, the equation of the line which passes through the points, and has slope m, is given by
[tex]y - y_{1} = m(x -x_{1} )[/tex]
Putting the values in the general equation, we get,
y - (2) = -1(x - 1 )
y - 2 = -x +1
y = -x +3
The equation of the line is y = -x +3.
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The points (6,7) and (36,42) form a proportional relationship. Find the slope of the line through the points. Then use the slope to graph the line.
Answer:
The points (6,7) and (36,42) form a proportional relationship. Find the slope of the line through the points. Then use the slope to graph the line.
Step-by-step explanation:
to find slope from 2 points you do delta y over delta x meaning
42 - 7 over 36 - 6 which equals to 35/ 30 which simplifies down to 7 over 6 or 7/6 so the slope of the line is 7/6 to graph it you need the b to get the b you take one of the points and the slope and do y = mx + b.
42 = 7/6(36) + b
42 = 42 + b
subtract 42 from both sides right to left to get variable alone
0 = b so
y = 7/6x + 0 but you never put the 0 you just leave at
y = 7/6x and graph. Start at 0 go up 7 to the right 6
P.S. I was bored so I felt like doing the rest of it ^_^
How many ounces are in 4 pounds?
*
5 points
48 ounces
36 ounces
64 ounces
16 ounces
2. Divide: 1,111 ÷ 11 = ____________ (Write out)
*
5 points
11
111
101
110
3. Subtract: 6000 - 3,444= _______ ( write out)
*
5 points
2,456
2,656
2,556
2,655
4. Would a bottle of shampoo contain about 400ml or 400 liters?
*
5 points
400 ml
400 liters
5. Multiply: 3,540 x 9 = __________ ( write out to solve)
*
5 points
31,660
31,680
31,860
31,760
6. Any number multiplied by zero is equal to _____.
*
5 points
10
0
100
5
7. Mr. Williams left his house at 7:30. he drove for 4 hours and 20 minutes. At what time did he reach his destination? (hint: create a clock line.)
*
5 points
11:30
11:50
12:30
1:00
8. 7 x 6 = _______
*
5 points
13
42
54
49
9. Find the missing minuend. 92 - ____= 58
*
5 points
38
36
34
44
10. Subtract: $ 43.99 - $18.45= ________ (remember: Whenever you add or subtract using decimals, they MUST BE LINED UP.)
*
5 points
$25.45
$25.44
$25.54
$24.54
11. Divide: 4,842 ÷ 2= _________ (write out)
*
5 points
2,241
2,421
2,412
2,402
12. Multiply: 15 x 14 = _________ ( write out)
*
5 points
220
210
190
240
13. IF it is 11:50 now, what time was it 3 hours and 20 minutes ago? (hint: create a clock line.)
*
5 points
8:30
9:30
8:50
10:30
14. Find the estimated sum of 953 and 413.
*
5 points
≈1150
≈1350
≈1250
≈1500
15.Add: 5,218 + 6,970 = ________. (write out)
*
5 points
12, 218
12,178
12,188
13,168
16. Divide: 54 ÷ 9 = ____________. Hint: think related facts.
*
5 points
7
6
8
5
17. Arianna baby-sat from 7:00pm until 12:00 am. IF she earns $ 4.50 per hour for babysitting, how much did she earn? (multi-step. solve for the time first.)
*
5 points
$18.00
$20.50
$16.50
$22.50
18. Select a rectangle that shows 5/6 shaded.
*
5 points
A
B
C
D
19. Multiply: 12 x 3 = ______
*
5 points
24
36
18
46
20. A closed figure made up of three or more line segments that do not intersect is a _______________.
*
5 points
pentagon
polygon
hexagon
heptagon
am answering from two to ten
mark's brother is five years older than mark. their combined ages add up to 23. how old is mark's brother?
Based on the sum of their ages, Mark's brother is 14 years old.
Let us assume the age of Mark be x. Now forming the equation based on mentioned information.
Mark's age = x
Mark's brother's age = x + 5
x + x + 5 = 23
Performing addition on Left Hand Side of the equation
2x + 5 = 23
Shifting 5 to Right Hand Side of the equation
2x = 23 - 5
Performing subtraction on Right Hand Side of the equation
2x = 18
Shifting 2 to Right Hand Side of the equation
x = 18a1 ÷ 2
Performing division on Right Hand Side of the equation
x = 9
So, Mark's age = 9
Mark's brother's age = 9 + 5
Mark's brother's age = 14
Hence, Mark's brother's age is 14 years.
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Rewrite the following equation in slope-intercept form.
y + 9 = – (x + 10)
Write your answer using integers, proper fractions, and improper fractions in simplest form.
The slope-intercept form of the equation can be written as y = -x - 19
Slope - Intercept FormThe 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 formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept( the y-coordinate of the point where the line intersects the y-axis). Equation of line is the equation that is satisfied by each point that lies on that line.
The equation given is y + 9 = -(x + 10)
Rewriting this equation in y = mx + c format;
y + 9 = -(x + 10)
y + 9 = -x - 10
y = -x - 10 - 9
y = -x - 19
The equation is y = -x - 19
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Taylor bought some dog grooming and pet supplies from an online store. For shipping, the store charges a fee of $8.95 or 5.5% of the total
purchase, whichever is greater. If Taylor's total purchase is $140, how much shipping will he pay?
The Taylor has to pay $8.95 as shipping charge for his total purchase of some dog grooming and pet supplies for $140.
What is percentage?Percentage, which meaning "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance. Finding the percentage of all of it in measures of 100 is what percentage calculation is.To Determine Percent
Calculate the total or entire amount.Divide the sum by the amount to also be expressed in percentage form. The lower number will often be divided by the bigger amount.The result is multiplied by 100.Here given shipping charge ,
Shipping charge = $8.95 or 5.5% of total purchase, which is greater.
Total purchase of Taylor = $140.
Here given shipping charge = 5.5 % of $140.
5.5 % of 140
= (5.5 /100)*140
= (5.5*140) / 100
= 770 / 100
= 7.7
5.5 % of total purchase = $7.7
Since $8.95 is greater that $7.7.
They take $8.95 as shipping charge.
Therefore the Taylor pay's $8.95 as shipping charge .
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Solve.
−5/6 = −1/4 − 7/10x
Enter your answer as a fraction in simplest form.
I don't know how brainly works :b
Answer:
[tex]\boxed{\sf x=\cfrac{5}{6}}[/tex]
Step-by-step explanation:
[tex]\sf -\cfrac{5}{6}=-\cfrac{1}{4}-\cfrac{7}{10}x[/tex]
[tex]\sf -\cfrac{1}{4}-\cfrac{7}{10} \; x=-\cfrac{5}{6}[/tex]
Add 1/4 to both sides:-
[tex]\sf -\cfrac{1}{4}-\cfrac{7}{10}x+\cfrac{1}{4}=-\cfrac{5}{6}+\cfrac{1}{4}[/tex]
Simplify:-
[tex]\sf -\cfrac{7}{10}x=-\cfrac{7}{12}[/tex]
Multiply both sides by 10:-
[tex]\sf 10\left(-\cfrac{7}{10}x\right)=10\left(-\cfrac{7}{12}\right)[/tex]
Simplify:-
[tex]\sf -7x=-\cfrac{35}{6}[/tex]
Divide both sides by -7:-
[tex]\sf \cfrac{-7x}{-7}=\cfrac{-\cfrac{35}{6}}{-7}[/tex]
Simplify:-
[tex]\sf x=\cfrac{5}{6}[/tex]
____________________
Hope this helps!
Have a great day! :)
Answer:
x = 5/6
Step-by-step explanation:
Given equation,
→ (-5/6) = (-1/4) - (7/10)x
Now the value of x will be,
→ (-5/6) = (-1/4) - (7/10)x
→ (-7/10)x = (-5/6) + (1/4)
→ (-7/10)x = (-10 + 3)/12
→ x = (-7/12) × (-10/7)
→ x = 10/12
→ [ x = 5/6 ]
Hence, the answer is 5/6.
What is the domain of f(x)?
{x| –4 < x ≤ 4}
{x| –3 < x ≤ 4}
{x| 1 < x ≤ 4}
{x| 2 < x ≤ 4}
The domain of the given function f(x) is {x| –4 < x ≤ 4}. Option A is correct.
First, let us understand the domain of a function:
The domain of a function is the set of all possible inputs for the function.
We are given the following;
All points of the step function f(x) are graphed.
We need to determine the domain of f(x).
The unfilled / open dot shows that we don't include that number.
The filled / closed dot shows that we can include that number.
So, we can see that it is open at -4 and closed at 4.
So, it is written as -4 < x and 4 ≥ x.
So, the domain is -4 < x and 4 ≥ x.
Thus, the domain of the given function f(x) is {x| –4 < x ≤ 4}. Option A is correct.
Please find the given graph below:
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Point J (-1,4) is reflected over the line y = 2. What is the coordinates for J’?
Answer:
(-1, -4)
Step-by-step explanation:
Make the y value the opposite value.
Consider rolling two number cubes, each of which has its faces numbered from 1 to 6. The cubes will be rolled and the sum of the numbers landing face up will be recorded. Let the event E represent the event of rolling a sum of 5. How many outcomes are in the collection for event E ? Responses
The outcomes in the collection for event E is four and they are (1, 4) (2,3) (3,2) (4, 1).
Two number cubes, each of which has its faces numbered from 1 to 6 is rolled.
The cubes will be rolled and the sum of the numbers landing face up will be recorded.
The total sample space for two cubes = 6² = 36
Let the event E represent the event of rolling a sum of 5
Total possible outcomes for a sum of 6 is (1, 4) (2,3) (3,2) (4, 1)
We need to find the probability of event E, P(E)
P(E) = possible outcomes/ sample space
P(E) = 4/ 36 = 1/9
Therefore, the outcomes in the collection for event E is four and they are (1, 4) (2,3) (3,2) (4, 1).
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algebra 2 please help fast!!
The zeroes of the polynomial are -2,1,3,-1
What are the zeroes of the polynomial?The locations where a polynomial becomes 0 overall are known as the zeros of the polynomial. The term "zero polynomial" refers to a polynomial with a value of zero (-1). The largest power of the variable x is referred to as a polynomial's degree.
How do you find the zeroes of the polynomial?In general, the value of P(k) at x = k is denoted by P(k), and it can be found by substituting x by k in P if P(x) is a polynomial in x and k is any real number. The real number k is referred to as the zero of a polynomial P(x) if P(k) = 0.
Given:- The polynomial is f(x)=(x+2)(x-1)(x-3)(x+1)
The polynomial is divided into its factors
we equate each of the factors with the term 0
x+2=0
x=-2
x-1=0
x=1
x-3=0
x=3
x+1=0
x=-1
Hence the zeroes of the polynomial f(x)=-2,-2,1,3
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need help with this one
The number of real solution of the system y = [tex]3x^2[/tex] and y = 3x - 2 is zero
The system of equations are
y = [tex]3x^2[/tex]
y = 3x - 2
Then the equation will be
[tex]3x^2[/tex] = 3x - 2
Move 3x - 2 to the left hand side of the equation
[tex]3x^2[/tex] - 3x + 2 = 0
Find the value of [tex]b^2[/tex] - 4ac
Here value of a = 3
The value of b = -3
The value of c = 2
Substitute the values in the expression
= [tex](-3)^2[/tex] - 4×3×2
= 9 - 24
= -15
Here the value of [tex]b^2[/tex] - 4ac is -15
Therefore there is no real valued solution
Hence, the number of real solution of the system y = [tex]3x^2[/tex] and y = 3x - 2 is zero
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solve for x PLSS HELP
Answer:
IMPORTANT- Triangle Sums up to 180.
Step-by-step explanation: According to the symbol, both sides are congruent. Which means they have the same degrees (Also known as an isosceles triangle). Since the left side of the angle measures 58.5 degrees, the right side angle is also 58.5. Sum up both sides --->
= 58.5+58.5 = 117
*every triangle sum to 180*
= Whole triangle degrees Subtract ( - ) to 117 = 180-117 = 63
So subtracting the whole triangle measure (180*) to 117 ( 117 is the degrees of both sides together) is 63. So "x" is equal to 63 degrees.
Answer: "x" equals 63 degrees.
For Double checking:
Turn "x" into 63 and add all the sides measures and check if it sum's up to 180 (which is the measure of the whole triangle.)
Numerical Setup for double-checking :
58.5+ 58.5 +X(63) =180
58.5 +58.5 +63 = 180
the waitress at the restaurant provided really good service so you and your friends decided to add on an 20% tip to your $32 bill. how much money will be added onto the bill for the tip?
Using the concepts of ratio and proportion, we got that $6.4 as the money will be added onto the bill for the tip to the the waitress at the restaurant who provided really good service.
We are given that we are giving the waitress 20% tip, means that apart from the actual bill we give her 20% of actual bill cost
So, 20%of $32 is given by
=(20/100)×32
=32/5
=$6.4
Hence, if the waitress at the restaurant provided really good service, so me and my friends decided to add on an 20% tip to your $32 bill, the money that will be added onto the bill for the tip is $6.4
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√12 is between _____.
Answer:
√12 is between 3 and 4.
Explanation
The number [tex]\sqrt{12}[/tex] is an irrational number that is between 3 and 4.
The given number is [tex]\sqrt{12}[/tex]
The irrational number is such a number that cannot be expressed in the form of p/q, and are nonterminating and non-repeating.
The number 12 is an irrational number since its value, 3.4641016, has no repeating or ending digits after the decimal, and it cannot be represented as a fraction.
The value [tex]\sqrt{12}[/tex] is 3.464101
So, the value [tex]\sqrt{12}[/tex] is between 3 and 4.
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Solve for t. t squared=9
Answer:
3
Step-by-step explanation:
3 x 3 = 9
Write the inverse of the given relation.
y=x/2+5
Answer: f^−1(x)=2x−10
Explanation: switch the x and y to get:
x = y/2 + 5
Then isolate y by multiplying 2 on both sides and moving 10:
2x = y + 10
- 10 -10
2x -10 = y
-2.12 = u/2 + 3 solve for u
Answer:
-10.24
You can double check this answer by plugging it in for u, so -10.24 dived by 2 then plus 3, which indeed equals -2.12
so, u does equals -10.24
Jim gets $50 every 10 minutes, He needs $114058 to buy something. How many hours will he need to get $114058?
Answer:
380.2 hours
Step-by-step explanation:
find how much he receives an hour:
$50/10min × 6 = $300/hr
find out the number of hours it takes:
$114,058 ÷ $300 = 380.19hours
≈ 380.2 hours (to 1 decimal point)