Answers
The equation for S, in terms of t, is S = 18 - 2t
What is a linear equation?
A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The initial value is 18 inches,
The rate of change is -1.5 inches per hour,
t is the number of hours.
S = 18 - 2t
Number of Hours after the Depth of Snow on Hudson's Lawn
Storm (Inches)
0 18
1 16
2 14
3 12
Therefore, the equation for S, in terms of t is S = 18 - 2t.
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Related Questions
5 km to m convert the following
Answers
Answer:
5 km = 5000 m
Hope this helps : )
Do the following three lengths form a right triangle? 10, 10, 20
Answers
Answer:
No, these three sides can't form a triangle====================
Triangle inequality theorem states that the sum of any two sides must be greater than the remaining side.
We see 10 + 10 = 20, so this is contradicting the mentioned theorem, therefore these lengths are not good to form a triangle.
We see 10 + 10 = 20, so this is contradicting the mentioned theorem, therefore these lengths are not good to form a triangle.
Given,
The lengths of triangle is given as:
10 , 10 and 20
To check the following three lengths form a right triangle.
Now, According to the question:
What is triangle inequality theorem ?
The triangle inequality theorem describes the relationship between the three sides of a triangle. According to this theorem, for any triangle, the sum of lengths of two sides is always greater than the third side.
So, The length of triangle are 10, 10, 20
10 + 10 = 20
We see 10 + 10 = 20, so this is contradicting the mentioned theorem, therefore these lengths are not good to form a triangle.
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12.) Find m22 if m2XVW = 64°.
V
2
W
P
X
Answers
The value of the angle ∠2 = 32° using angle bisector.
What is angle bisector?
In geometry, the ray, line, or segment that divides a given angle into two equal pieces is known as the angle bisector. For instance, a 60-degree angle will be split into two angles of 30 degrees each by an angle bisector. It splits one angle into two smaller congruent angles, to put it another way.
An angle in a triangle is divided into two equal or congruent angles by a straight line known as the angle bisector. Each triangle can have one angle bisector for each of its three vertices. The intersection of these three angle bisectors in a triangle is referred to as the triangle's incenter.
The given angle ∠XVW = 64°
VP is a bisector,
So the angle ∠XVW will be divided equally.
So ∠2 = 32°
Hence the angle of the bisector ∠2 = 32°.
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Evaluate-2(^-6)(2^3)
Answers
Answer:
-1/8
Step-by-step explanation:
-2³/2⁶ negative exponents go in the denonimator
-1/2³ subtract exponents since the denonimator is larger
-1/8 simplify
Need help on algebra
Answers
The required value of the given equation when x = 5 is y = 585.5
What is an algebra ?The area of mathematics known as algebra is used to help express issues or circumstances into mathematical expressions. We employ integers with definite or fixed values in algebra, such as 2, 7, 0.068, etc. In addition to integers, algebra uses variables like x, y, and z.
Given : y = 114.50x + 13
To find ; The value of this equation when x = 5
Thus to find this value we have to simply substitute the value of x in the given equation
Hence, we will get ,
y = 114.50 × 5 + 13
this implies y = 572.5 + 13
which is equal to y = 585.5
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Erica worked 14 hour lat week and 20 hour thi week. If he earn $9 per hour how much did he earn during thee two week?
Answers
Answer:
$306
Step-by-step explanation:
we know that
Erika earns 9$ per hour
so
By proportion
Find how much she earn during the total hours of two weeks
The total hours of two weeks is equal to
[tex]14+20=34 hours[/tex]
[tex]\frac{9}{1} \frac{money}{hour} = \frac{x}{34} \frac{money}{hours}[/tex]
[tex]x =34[/tex]×[tex]9[/tex]
x = 306$
therefore
the answer is
$306
A cereal company packs cereal boxes into large cardboard boxes. The large boxes are 12 inches long and 8 inches wide. How tall are the large boxes if the volume is 3,456 cubic. In.?
Answers
The height of the large boxes is 36 inches when the volume of box is 3456 cubic inches.
According to the question,
We have the following information:
A cereal company packs cereal boxes into large cardboard boxes. The large boxes are 12 inches long and 8 inches wide.
Volume of box = 3456 cubic inches
We know that the box is in the shape of cuboid.
Following formula is used to find the volume of cuboid:
Volume = length*width*height
12*8*height = 3456
96*height = 3456
Dividing both sides by 96:
Height = 3456/96
Height of the box = 36 inches
Hence, the height of the large boxes is 36 inches when the volume of box is 3456 cubic inches.
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Please help
Which function includes all ordered pairs in the table
Answers
Answer:
the correct answer is A. y = - x - 4
Step-by-step explanation:
Just insert the graph into a calculator and solve.
every time x goes up two, so does y. except the y is 4 units lower than the x.
Jim ate 3/4 of his lunch. What fraction of it was left?
Answers
Jim ate 3/4 part of his lunch is in fraction form then the left part of his lunch is a fraction equal to 1/4 .
Fraction : A fraction represents a part of whole . It is a numerical value. It is evaluated by dividing a whole into number of parts . It has two parts one is called numinator (dividend) and other one is denominator ( divisor) . Denominator tells you how many part of lunch is divided into.
Types : Three types are
proper fractionimproper fraction mixed fractionWe have given in question that,
Jim ate 3/4 of his lunch .
let his lunch be x as a whole number .
Now , 3/4 part of x is ate by Jim i.e 3x/4
left part of x = x - 3x/4 = x/4
so, 1/4 part of x i.e lunch is left .
Hence, after eating the 3/4 of lunch by Jim the left part of lunch is 1/4 .
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It takes 20 hours and $400 to interview a candidate, and it takes 120 hours and $3600 to train an employee.
A company has less than $95000 to interview and train employees, and it wants to spend at most 470 hours to do so.
Let C denote the number of candidates they interview and E the number of employees they train.
Write an inequality that represents the condition based on the number of dollars the company can spend.
Write an inequality that represents the condition based on the number of hours the company wants to spend.
Answers
Step-by-step explanation:
The first thing we need to do is to identify the characteristics of this problem. As you can see, this situation has restriction, limitations on how much money and time they can spend.
In mathematics, restrictions are expressed with inequalities, because it gives us the power to express in terms of more or less than something. When we have this inequality-restrictions problems, it's very helpful to organise all info, so according to the problem, we have:
$ hr
Candidates (x) 400 20
Employees (y) 3600 120
Max. 95000 470
We this organisation, we can easily find expressions, the important thing here is to put together similar variables, money with money and time with time.
So, you can see that, the maximum money they can spend is 95000, and the maximum time is 470 hours, which give us:
As you can see, for money inequality, we used (less than), and for hours we used ''less or equal than''. This difference is because in the text it says that they has less than 95000 (not equal than 95000), and for hours they have at most 470 (meaning that this is a maximum, 470 and below that number).
Therefore, those two inequality express the restriction about money and time limitations for candidates and employees.
The perimeter of a garden is 40 feet. The length is two more than four times the width. Write a system of equations where x represents the width and y represents the length.
Answers
Answer:
2(x+y) = 40y = 2 +4xStep-by-step explanation:
You want a system of equations for the width (x) and length (y) of a rectangle with a perimeter of 40 feet and length 2 more than 4 times the width.
EquationsOne equation can give the relation for the perimeter:
2(x +y) = 40
The other can express the relation between width and length:
y = 2 +4x
Your system of equations is 2(x+y) = 40, and y = 2+4x.
__
Additional comment
The solution is (x, y) = (3.6, 16.4) feet.
a rectangle is drawn so the width is 49 inches longer than the height. if the rectangle's diagonal measurement is 61 inches, find the height.
Answers
Refer to the attachment for figure:
The height of the rectangle = 11 inches
What is rectangle?
A rectangle is a type of quadrilateral with parallel sides equal to each other and four equal 90-degree vertices. Because of this, it is also known as an equiangular quadrilateral. Because the opposite sides of a rectangle are equal and parallel, it can also be referred to as a parallelogram.
Let x= height
Width becomes x+49
Diagonal BD=61 inches
By pythagoras theorem,
BD²=BC²+CD²
61²= (x+49)²+x²
3721=x²+98x+2401+x²
On simplification,
x²+49x-660=0
Find the factors
(x+60)(x-11)=0
x=-60, x=11
Consider positive value for height
height = 11 inches
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6. Your parent promises to make you a smoothie using
the blender while you're mowing the lawn. The blender
makes a sound that is 88 decibels. What is the intensity
of the sound of the blender?
Answers
The intensity of the sound that is 88 decibels of the blender is 6.3×10⁻⁴ W/m².
Decibels:
Decibel is unit used to measure the intensity of a sound or the power level of an electrical signal by comparing it with a given level on a logarithmic scale.
Given,
Your parent promises to make you a smoothie using the blender while you're mowing the lawn. The blender makes a sound that is 88 decibels
Here we need to find the intensity of the sound of the blender
In order to find the intensity, we have to do the following steps,
First, we have to divide the decibel level by 10.
=> 88/10 = 10/10 log (x / 1 x 10⁻¹²)
Now, we have to use that value as the exponent of the ratio.
=> 8.8 = log (x / 1 x 10⁻¹²)
Finally, we have to use that power of ten to find the intensity in Watts per square meter.
=> 6.3×10⁻⁴ .
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20 units rotated to 90 cc reflected over the x axis and translated 6 units down is ?
Answers
Answer:
.
Step-by-step explanation:
For which value of does the matrix have one real eigenvalue of algebraic multiplicity ?.
Answers
the matrix has one real eigenvalue of algebraic multiplicity.
[1-λ k
1 -7-λ] =(1-λ)(-7-λ)-(1)(k) = λ² +6λ -(k+7)
Mathematics has several different subfields, including algebra. Algebra is the study of mathematical symbols and the rules for using them in formulas; it is a common thread that runs through practically all of mathematics.
Since many applications of mathematics include the manipulation of variables, which are frequently represented by Roman letters, elementary algebra is a prerequisite. For the most part in education, the study of algebraic structures like groups, rings, and fields is referred to as abstract algebra (the term is no more in common use outside the educational context). In contemporary presentations of geometry, linear algebra—which deals with linear equations and linear mappings—is used.
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Evaluate the expression if a = −2, b = −3, c = 2, x = 2.1, y = 3, and z = −4.2.
4a−|3b+2c|
Answers
The value of the expression when evaluated is: -18.
How to Evaluate an Expression?Evaluation of an expression involves plugging in the values of the given variables and then solving to determine the value of the expression in it's simplest form.
Given the expression, 4a - |3b + 2c|, to evaluate, substitute a = -2, b = -3, c = 2 into the expression and solve:
4(-3) - |3(-3) + 2(2)|
-13 - |-9 + 4|
-13 - |-5|
-13 - 5
= -18
The value of the expression is: -18.
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tossing a fair coin 20 times and counting the number of heads (x). what is the chance that the number of heads is 13 or more?
Answers
By using Binomial Distribution of probability, it is obtained that
Probability that the number of heads is 13 or more = [tex]137980(\frac{1}{2})^{20}[/tex]
What is Binomial Distribution?
Binomial distribution is a discrete type probability distribution whose probability mass function is
P(X = k) = [tex]{n \choose k} p^k(1 - p)^{n-k}[/tex]
p is the probability of success.
Here Binomial distribution of probability is used
P(X [tex]\geq[/tex] 13) = P(X = 13) + P(X = 14) + ........ + P(X = 20)
P(X = 13) = [tex]{20 \choose 13} (\frac{1}{2})^{13}( 1 - \frac{1}{2}})^{20-13}[/tex]
= [tex]{20 \choose 13} (\frac{1}{2})^{13}( \frac{1}{2}})^{7}[/tex]
=[tex]{20 \choose1 3} (\frac{1}{2})^{20}[/tex]
P(X = 14) = [tex]{20 \choose14} (\frac{1}{2})^{20}[/tex]
P(X = 20) = [tex]{20 \choose20} (\frac{1}{2})^{20}[/tex]
Total Probability = [tex]({20 \choose 13} + {20 \choose 14} + .... {20 \choose 20})(\frac{1}{2})^{20}[/tex]
= (77520 + 38760 + 15504 + 4845 + 1140 + 190 + 20 + 1)[tex](\frac{1}{2})^{20}[/tex]
= [tex]137980(\frac{1}{2})^{20}[/tex]
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if you place a 38- foot ladder against the top of a 32-foot building, how many feet will the bottom of the ladder be from the bottom of the building? round to the nearest tenth of a foot.
Answers
Answer:
6 feet
Step-by-step explanation:
38-32=6
find measure of each missing angle PLSSSS HELP
Answers
The interior angles of the triangle are 43°, 43° and 94°. The exterior angle of the triangle is 86°.
How to find interior and exterior angles of a triangle?A triangle is polygon with three sides. The sum of angles in a triangle is 180 degrees.
The triangle above is an isosceles triangle. The base angles of a triangle is congruent.
Therefore, the base angles are 5x - 12 and 5x -12.
The sum of the remote interior angles is equal to the opposite exterior angles.
5x - 12 + 5x - 12 = 8x - 2
10x - 24 = 8x - 2
10x - 8x = -2 + 24
2x = 22
x = 22 / 2
x = 11
Therefore,
5x - 12 = 5(11) - 12 = 43°
Third angle = 180 - 43 - 43 = 94°
Exterior angle = 8x - 2 = 8(11) - 2 = 86°
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Deon is going to rent a truck for one day. There are two companies he can choose from, and they have the following
prices.
Company A charges an initial fee of $41.50 and additional 70 cents for every mile driven.
Company B charges an initial fee of $35 and an additional 80 cents for every mile driven.
For what mileages will Company A charge less than Company B?
Write your answer as an inequality, using m for the number of miles driven.
Answers
Answer:
Step-by-step explanation:
answer = company b
factorise x squared +3x - 40
Answers
Step by step: The numbers need to have a product of -40 and add up to 3
Answer:
(x-5)(x+8)
Step-by-step explanation:
Factors of -40:
-1, 40
-2, 20
-4, 10
-5, 8
-5 + 8 =3
x^2+3x-40
x^2 -5x +8x -40
=(x-5)(x+8)
One Step Trinomial, Two Step Factoring
Factor:
x^2 - 12x + 35
Answers
Answer:
You can FACTOR x^2-12x+35 by using the AC method
This means the answer will be:
(x-7)(x-5)
I hope this helps!
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Malik's budget for chocolate chips for the week is $25. How many whole pounds of chocolate chips can he order
Answers
Given a budget of $25, the whole pounds of chocolate chips that Malik can order is 11 pounds of chocolate.
How to find the chocolate chips ordered?For up to 3 pounds, the supplier will charge Malik $4 per pound. This means that after buying 3 pounds of chocolate chips, the amount Malik would be left with it:
= Malik budget - (Price of 4 pounds x 4 pounds)
= 25 - (4 x 3)
= $13
The number of pounds of chips that Malik an buy at $1.50 per pound is:
= 13 / 1 .50
= 8 whole pounds
The total number of whole pounds that Malik can order is:
= 3 + 8
= 11 pounds
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If robert reads 2pages per minute, how many pages could she read in 1 1/2 hours?
Answers
Robert can read 180 pages in [tex]1\frac 12[/tex] hours
How to determine the number of pages?The given parameters in the question are:
Speed = 2 pages per minute
Number of hours = [tex]1\frac 12[/tex] hours
The number of pages to read in this time can be calculated using the following equation
Number of pages = Speed * Number of hours
Substitute the known values in the above equation So, we have the following equation
Number of pages = 2 * [tex]1\frac 12[/tex]
Convert the units
Number of pages = 2 * [tex]1\frac 12[/tex] * 60
Evaluate
Number of pages = 180
Hence, the number of pages is 180 pages
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Leroux health insurance is considering changing the options in one of their health care plans (plan a) based on customer feedback that prescriptions and regular visits to the doctor are too expensive for the insured individual. How can leroux reduce the costs of regular health care without driving up the price of their health care plan? leroux health insurance plan a cost: monthly premium: $248. 00 annual deductible: $5,500. 00 co-pays: brand-name prescriptions $35. 00 generic prescriptions $15. 00 visits: primary care physician: $40. 00 specialist: $60. 00 urgent care: $125. 00 emergency room: $325. 00 a. Reduce the monthly premium but increase the co-pay amounts to compensate for the lower premium. B. Reduce the annual deductible, but increase the co-pay amounts so that the monthly premium can stay the same. C. Reduce the co-pay amounts but increase the annual deductible so that the monthly premium can stay the same. D. Reduce the co-pay amounts but increase the monthly premium to compensate for the lower deductible.
Answers
Leroux can reduce the costs of regular health care without driving up the price of their health acre plan by : (c) Reducing the co-pay amounts but increase the annual deductible so that the monthly premium can stay the same.
Since the customers are complaining that the cost of regular visits and prescriptions ($15) are too expensive for them based on the plan they choose, this means that the purpose of the health insurance plan which is to reduce the overwhelming cost burden on individuals when trying to access proper healthcare is not be implemented successfully.
The co-pay amount which is usually known as the out-of-pocket amount that insurers pay whenever they go for regular doctor visits ( covered service in the insurance package ) and reducing this amount will reduce the immediate cost which makes the customers to complain about how expensive assessing a doctor on regular visits are.
The effect of the increased annual deductible is one way to push the immediate burden of paying a higher co-pay amount by the customer.
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Write the correct function in the table below
HELP ASAP
Answers
The function that represent the given table is f(x) = 2n+1.
In the given question we have to write the correct function for the table given below.
The given table is
x y
0 3
1 5
2 7
3 9
We can write it as
x y
0 3=1+2
1 5=3+2
2 7=5+2
3 9=7+2
So we can see that in each odd number we are adding 2.
So the function should be
f(x) = (2n−1)+2
f(x) = 2n−1+2
f(x) = 2n+1
Hence, the function that represent the given table is f(x) = 2n+1.
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6. Fill in the missing numbers so that the scaling is consistent. For part (a) what number is represented
for each letter?
12
SHOW YOUR WORK!
a.
Point A: Point B: 52 Point C:
Answers
The number represented on number line by (A) -13 (B) 26 (C) 65
According to the number line given in part a
there are for parts in between 0 to 52
To find the numbers in one part = 52/4
= 13
Therefore,
For (A)
0 - 13 = -13
For (B)
0 + 2*13 = 26
For (C)
52 + 13 = 65
Hence, A is -13, B is 26 and C is 65.
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What’s the answer to this ?? Does anyone know it ??
Please explain the steps and how you got the answer ): i have a ton more of these to answer and i need to know how to do it.
ONLY ANSWER IF YOU KNOW IT ! WILL REPORT UR ANSWER IF U PUT ANYTHING ELSE.
Answers
The equilibrium quantity is 97 items and equilibrium price is $582
The equation of the price when quantity demanded
p = 873 - 3q
The equation of the price when quantity supplied
p = 6q
At equilibrium price and quantity
873 - 3q = 6q
Move the like terms to one side
6q + 3q = 873
Add the like terms
9q = 873
q = 873 / 9
Divide the terms
q = 97 items
Substitute the value of q in the equation 2
p = 6q
p = 6 × 97
Multiply the terms
p = $582
Hence, the equilibrium quantity is 97 items and equilibrium price is $582
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8. Emily predicted her car
payment to be
$250 each month. Her actual car
$275 each month.
payment is
Enrique predicted his car
payment to be $200 each month. His actual
car payment is $225 each month.
a. By what percent was Emily's prediction off?
b. By what percent was Enrique's prediction off?
Answers
Emily's prediction was off by 9.09%
Enrique's prediction was off by 11.11%
What is a percentage?The percentage is calculated by dividing the required value with the total value and multiplying it by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
Emily:
Each month payment = $250
Each month actual payment = $275
The percentage prediction is off by.
= (275 - 250) / 275 x 100
= 25/275 x 100
= 9.09%
Enrique:
Each month payment = $200
Each month actual payment = $225
The percentage prediction is off by.
= (225 - 200)/225 x 100
= 25/225 x 100
= 11.11%
Thus,
Emily's prediction was off by 9.09%
Enrique's prediction was off by 11.11%
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Dimples is a dominant trait (D). The Punnett square shows a cross for this trait between two parents.
What is the probability that the offspring will have dimples?
25%
50%
75%
100%
Answers
Answer: 50%
Hope this helps!