The linear inequality to represent the temperature is -40 < x < 120
What is Linear InequalityLinear inequalities are inequalities that involve at least one linear algebraic expression, that is, a polynomial of degree 1 is compared with another algebraic expression of degree less than or equal to 1. There are several ways to represent various kinds of linear inequalities.
Linear inequalities are usually in form of expressions where any two values are often compared by the inequality symbols such as, ‘<’, ‘>’, ‘≤’ or ‘≥’. These values could be numerical or algebraic or a combination of both.
But in this case, we wouldn't need that as we are only required to represent the problem with an inequality.
The linear inequality -40 < x < 120 shows that the outside air must be between the range of -40 degrees to 120 degrees.
This can be explained as the least temperature must be above -40°F and the highest temperature must not exceed 120°F
Learn more on linear inequality here;
https://brainly.com/question/23093488
#SPJ1
In the figure below, k Il and m || n. Find the values of x and z.
A
Answer:
z = 36
x = 120
Step-by-step explanation:
A box of cereal states that there are 99 calories in a
3/4 cup serving. What is the unit rate for calories per cup? How many calories are there in 4 cups of the cereal?
The number of calories in one cup is 132 calories and the number of calories in 4 cups is 528 calories.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that a box of cereal states that there are 99 calories in a 3/4 cup serving.
The number of calories per cup is calculated as,
3 / 4 cup = 99 calories'
1 cup = 99 x (4 / 3 )
1 cup = 132 calories
The number of calories for 4 cups of cereal,
1 cup = 132 calories
4 cup = 132 x 4 calories
4 cup = 528 calories
Therefore, the number of calories in one cup is 132 calories and the number of calories in 4 cups is 528 calories.
Therefore, the number of calories in one cup is 132 calories and the number of calories in 4 cups is 528 calories.
To know more about an expression follow
https://brainly.com/question/18762453
#SPJ1
#8 geometry questions.....help me please
This is an exterior angle because x and y=180.
now let us pretend those sides are z. Each side is equal.
So x=z
so z=y
now 180/3 is 60
so x or z is 60.
now we use exterior angle and now we do 180-60 is 120.
SO
X=60
Y=120
now we make sure by z times 2 should equal y and z=x and x=60 and 60 time 2 is 120 so it is correct.
Select the values that make the inequality h<3h<3 true. (Numbers written in order from least to greatest going across.) -5 -2 0 2 2.9 2.99 2.999 3 3.001 3.01 3.1 4 6 8 11
The values that make the inequality, h < 3h < 3, true are the values of h in the range 0 < h < 1. The values -5, -2, 0, 2, 2.9, 2.99, 2.999, 3, 3.001, 3.01, 3.1, 4, 6, 8, 11, are larger or smaller than the values make the inequality true.
What is an inequality in mathematics?An is a comparison between two expressions, using non equal expressions, such as ≥, >, ≠, <, or ≤ symbols.
The specified inequality is; h < 3·h < 3
When h < 3·h, we get;
h is a positive number larger than 0, such that we get;
When h < 0, 3·h < h
Therefore; h > 0
The inequality, 3·h < 3, indicates;
3·h < 3
h < 3/3 = 1
h < 1
Which indicates that we get;
0 < h < 1
Therefore, non of the values make the inequality, h < 3·h < 3
Learn more about inequalities here:
https://brainly.com/question/27030238
#SPJ1
a 36 year old woman on chronic cyclosporine treatment for bilateral lung transplantation visits the emergency department complaining of extreme headache, nausea and vomiting. her exam is notable for bp 239/165, normal cardiac exam, bibasilar pulmonary rales, and 1 lower extremity edema. ekg showed asymmetric inverted t-waves in i, avl, and v4-6. in an effort to acutely control her blood pressure, which of the following is true?
The best treatment for this patient's acute blood pressure control is to administer an intravenous (IV) antihypertensive medication such as labetalol or nitroprusside. Additionally, it is important to assess for underlying causes of her elevated blood pressure such as infection, kidney disease, or heart failure.
What is blood pressure?
Blood pressure (BP) is indeed the force exerted by moving blood against blood vessel walls. The heart's action of trying to pump blood through the blood vessels is largely responsible for this pressure. The pressure in the major arteries is meant when the term "blood pressure" is used without qualification. Systolic pressure, or the highest pressure during one heartbeat, is typically expressed as the ratio of diastolic pressure, or the lowest pressure between two heartbeats, in blood pressure measurements. It is expressed as a millimetre of mercury (mmHg) just above atmospheric pressure in the immediate vicinity. Along with respiratory rate, pulse rate, oxygen levels, and body temperature, blood pressure is among the vital signs that medical professionals consider when assessing a patient's health.
To learn more about blood pressure
https://brainly.com/question/10828142
#SPJ4
Louis can bake 60 muffins in 1 hour. A large company ordered 300 muffins. How many hours will it take for Louis to bake enough muffins to complete the order?
Group of answer choices
Joan Arlington ha twice a much money inveted at 5% imple annual interet a he doe at 4%. If her yearly income from the two invetment i $175, how much doe he have at each rate?
the amount invested at 4% interest rate = P = $1228.57
The amount invested at 5% interest rate = 2P = $2457.14
What is principle interest ?
Every mortgage payment is made up of principal and interest, which are its two main components. The principal, which you borrow for your mortgage, and the interest, which you pay each month to use the loan, are the same thing. You may select the finest mortgage choice for you by being aware of both principle and interest.
We will use the simple interest formula: A=P(1+rt)
where: A=total amount accrued, P=principal, r=rate of investment, t=time (years, here). r and t are given, and we know that the total amount accrued from both accounts minus the invested amounts (principals) will be $175.
A1=P(1+0.04*1) simplified: A1=P(1.04)
A2=2P(1+0.05*1) simplified: A2=2P(1.05)
because the amount invested in the account with interest rate of 5% is twice as much as the amount invested at 4% interest rate.
A1+A2-P-2P=175 because the total income is $175.
Substituting in equations 1 and 2 we get:
P(1.04)+2P(1.05)-P-2P=175
1.04P+2.1P-3P=175
3.14P-3P=172
0.14P=172
P=1228.57
So, the amount invested at 4% interest rate = P = $1228.57
The amount invested at 5% interest rate = 2P = $2457.14
To learn more about principle interest from the given link
https://brainly.com/question/25545513
#SPJ4
A safe-breaker is attempting to crack a safe with a 7-combination code. So far they have worked out that: the first digit is double the third digit the code is a palindrome (it reads the same if it is reversed) the fourth number is 7 the third number is one less than the sixth number the second number is 3 less than the fourth number.
The correct 7 digit combination safe-breaker code which is a palindrome is given by 6437346.
What is a Palindrome?A palindrome is a number that reads the same both forward and backward in mathematics. Examples of palindromes include 353, 787, and 2332.
The following straightforward procedure may be used to find other palindromes given any set of integers.
Start with any number in step one. Identify it as original number. Reverse the original number's digits.
Call the number whose numbers have been reversed in step two. The new number should be added to your original one.
Call the number discovered by combination of the new number with the test number.
Step 3: You're finished if the test number is a palindrome. If the test number is incorrect, use your original number instead and complete the previous procedures using your test number.
How to solve?
Let the seven-digit code be given by abcdefg. As it is palindrome therefore, a=g, b=f, c=e, and d=d. Also, first digit is double than third digit that is a=2c.
As per the question d=7, c=f-1 and,
b=7-3 = 4.
Since the number is palindrome so b=f. Therefore f=4.
Now, c=f-1 => c = 4-1 = 3, and c = e = 3.
Also, a=2c => a=6.
Thus, the numbers are a=6, b=4, c=3, d=7, e=3, f=4, g=6 and the combination is 6437346.
To learn more about Palindrome, visit:
brainly.com/question/21901688
#SPJ4
A store is having a 12-hour sale. The total number of shoppers who have entered the store thours after it begins is modeled by the function S defined by [tex]S(t)=0.5 t^4-16 t^3+144 t^2[/tex] for [tex]0 \leq t \leq 12[/tex]. At time [tex]t=0[/tex], when the sale begins, there are no shoppers in the store. The rate at which shopper's leave the store, measured in shoppers per hour, is modeled by the function [tex]L[/tex] defined by [tex]L(t)=-80+\frac{4400}{t^2-14 t+55}[/tex] for [tex]0 \leq t \leq 12[/tex]. According to the model, how many shoppers are in the store at the end of the sale (time [tex]t=12[/tex] )? Give your answer to the nearest whole number.
At the end of the sale, there were a total of 196 customers in the store for the given function.
What is a function?The earliest known attempt to the notion of function may be traced back to works of Persian mathematicians Al-Biruni and Sharaf al-Din al-Tusi. Functions were initially the idealization of how a variable quantity depended on another quantity.
The total number of shoppers in the store is the number of shoppers present at the start of the sale Plus the number of shoppers who entered the store minus the number of shoppers who left.
Given that there were no shoppers in the store before the sale began, the number of shoppers in the store at the start of the sale is 0.
It is assumed that the number of customers who have entered the store is represented by S(t)=0.5t⁴-16t³+144t².
So, at t=12, the number of shoppers in the store is S(12)=
0.5(12)⁴-16(12)³+144(12)²
S(12)=3456 shoppers.
L(t)= -80+(4400/t²-14t+55)
At t=12,
[tex]\int\limits^{12}_0 {L(t)} \, dt[/tex]=[tex]\int\limits^{12}_0[/tex]( -80+(4400/t²-14t+55))dt
At the end of the sale, there were a total of 196 customers in the store.
To know more about function, visit:
https://brainly.com/question/28193995
#SPJ1
Round this number to the nearest one. 0.5
Answer: 2
Step-by-step explanation:
Answer:
your answer is 5.
Step-by-step explanation:
Solve the inequality. 2x + 13 < 35
Answer:
x < 11
Step-by-step explanation:
there you go :)
2. You flip a coin that has a heads side and a tails side.
a. What are the odds that the coin will land on heads the first time you flip it?
b. You have flipped the coin 50 coins. You have landed on heads 31 times and tails 19 times. What are the odds that the coin will land on tails on the next flip?
Answer:
a. 1/2 or 50% b. 1/2 or 50%
Step-by-step explanation:
a. 1/2 of 50%
Since theres 2 sides, and 1 head, it will be 1/2 outcomes so 1/2.
b. Stil 1/2 or 50%
The coin flips are not dependent, and they have 2 outcomes and 1 tails.
Stil 1/2
What is the sum of the infinite geometric series?
first of all, let's find the common ratio in this geometric sequence, by simply dividing a any of the terms by the term right behind it, hmmm say -12 and 16
[tex]16~~,~~-12~~,~~9~~,~~-\cfrac{27}{4}~\hfill \stackrel{\textit{\LARGE common ratio}}{\cfrac{-12}{16}\implies -\cfrac{3}{4}} \\\\[-0.35em] ~\dotfill\\\\ \qquad \qquad \textit{sum of an infinite geometric sequence} \\\\ \displaystyle S=\sum\limits_{i=0}^{\infty}\ a_1\cdot r^i\implies S=\cfrac{a_1}{1-r}\quad \begin{cases} a_1=\textit{first term}\\ r=\textit{common ratio}\\ \qquad -1 < r < 1\\[-0.5em] \hrulefill\\ a_1=16\\[1em] r=-\frac{3}{4} \end{cases}[/tex]
[tex]S=\cfrac{16}{ ~~ 1-\left( -\frac{3}{4} \right) ~~ }\implies S=\cfrac{16}{ ~~ 1 + \frac{3}{4} ~~ }\implies S=\cfrac{16}{~~ \frac{ 7}{ 4} ~~}\implies S=\cfrac{64}{7}[/tex]
Line d passes through points (6, 9) and (2, 4). Line e passes through points (5, 3) and
(10, 7). Are line d and line e parallel or perpendicular?
PLEASE HELP ASAP, WILL GIVE 10 POINTS, BRAINELST, 5 STAR, AND RATING!
Answer:
Neither
Step-by-step explanation:
Line d:
m = 4-9/2-6 = -5/-4 = 5/4
Line e:
m = 7-3/10-5 = 4/5
It would be neither because if it was perpendicular, one of the slopes' would have to be negative.
Can someone please help me
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The expressions that are simplified are:
[tex]n^{4}[/tex]
[tex]\frac{1}{n^{-5}}[/tex]
[tex]\frac{1}{n^3}[/tex]
Options A, B, and E are the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
[tex]n^{4}[/tex]
This is already simplified.
[tex]\frac{1}{n^{-5}}[/tex]
This is already simplified.
[tex]n^6 . n^{-8}[/tex]
= [tex]n^{6 - 8}[/tex]
= [tex]n^{-2}[/tex]
[tex]n^7 . p^8[/tex]
= [tex]n^{7 + 8}[/tex]
= [tex]n^{15}[/tex]
[tex]\frac{1}{n^3}[/tex]
This is already in simplified form.
Thus,
The expressions that are simplified are:
[tex]n^{4}[/tex]
[tex]\frac{1}{n^{-5}}[/tex]
[tex]\frac{1}{n^3}[/tex]
Options A, B, and E are the correct answer.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ1
Please answer this ASAP.
The coordinates of point D on the given line that intercepts the y-axis are: (0, 15/2).
What are the Coordinates of the Y-intercept of a Line?The coordinates of the point where a line intercepts the y-axis are the coordinates of the y-intercept of the line.
In the image given, a line to intercept the y-axis at point D. Point D is the y-intercept of the line. The coordinates of point D are the coordinates of the y-intercept of the line.
Step 1: Find the slope of the line using the two points, (-6, 0) and (2, 10)
Slope (m) = change in y / change in x = (10 - 0) / (2 -(-6))
Slope (m) = 10/8
m = 5/4
Step 2: Find the y-intercept of the line by substituting (x, y) = (2, 10) and m = 5/4 into y = mx + b
10 = 5/4(2) + b
10 = 5/2 + b
10 - 5/2 = b
15/2 = b
b = 15/2
The coordinates of the y-intercept is (0, 15/2). Therefore, the coordinates of point D are (0, 15/2).
Learn more about the coordinates of y-intercept on:
https://brainly.com/question/11713936
#SPJ1
Suppose that a customer is purchasing a car. He conducts an experiment in which he puts 10 gallons of gas in the car and drives it until it runs out of gas. He conducts this experiment 15 times on each car and records the number of miles driven.
Sample Mean car 1: 250.3 mi/ 10 gal
Sample mean car 2: 246.1 mi/10 gal
Question: Find the medians for Car 2 and Car 2
Answers in bold
Median of car 1: 249
Median of car 2: 251
====================================================
Explanation:
This is the data set for car 1
[tex]\begin{array}{|c|c|c|c|c|} \cline{1-5}202 & 247 & 241 & 223 & 246\\\cline{1-5}253 & 271 & 241 & 291 & 249\\\cline{1-5}259 & 257 & 261 & 246 & 268\\\cline{1-5}\end{array}[/tex]
Which when written out as a single long line, we have this:
202, 247, 241, 223, 246, 253, 271, 241, 291, 249, 259, 257, 261, 246, 268
Sort those values from smallest to largest to get this set
202, 223, 241, 241, 246, 246, 247, 249, 253, 257, 259, 261, 268, 271, 291
There are n = 15 items in that set.
n/2 = 15/2 = 7.5 which rounds to 8
The middle-most item, aka median, is in slot 8.
There are 7 items below the median, and 7 items above it. Giving us 7+1+7 = 15 items total.
Start at "202" and count 8 slots to the right until you arrive at 249 which is the median of the car 1 data set. Make sure you are looking at the sorted data set.
Follow similar steps for the car 2 data set. You should get 251 as the median of the car 2 data set.
Consider the scatter plot, its line of best fit, and the corresponding residual plot of each data set. State whether a linear model is appropriate for the data and justify your answer.
Linear regression equation: y = 14.08x - 163.13, r = 0.9746
No, a linear model is not appropriate for the data because; the residual plot indicates that the residuals are far off the horizontal.
Is a linear model appropriate for the data given?It follows from the task content that it is required to determine if a linear model is appropriate for the given data.
By observation of the scatter plot and the line of best fit; it is evident that the residuals are large (meaning that actually values are far off the predicted values).
Conclusively, the residual plot is a confirmation of the inappropriateness of a linear model for the given data. This follows from the fact that the residuals are large as evident in the how far the residual plot points are to the horizontal.
Read more on residual plot;
https://brainly.com/question/3297603
#SPJ1
What are the maximum dimensions of a rectangle with a perimeter of 12.
Answer:
3x3 should be the maximum dimensions of a rectangle with a perimeter of 12.
Which function matches the graph?
A. f(x)=(x + 3)(x - 5)(x + 7)²(x - 2)²
B. f(x) = (x - 3)²(x + 5)²(x-7)(x + 2)
C. f(x) = (x - 3)(x + 5)(x - 7)²(x + 2)²
D. f(x) = (x - 3)²(x + 5)(x-7)(x + 2)²
E. f(x) = (x + 3)²(x - 5)(x-7)²(x + 2)
Answer:
Choice B
Step-by-step explanation:
The graph crosses the xy-plane at the following places for x:
x = -5
x = -2
x = 3
x = 7
Look at choice B.
Setting (x - 3)^2, (x + 5)^2, (x - 7) and (x + 2) to zero and solving for x leads to the crossing locations on the xy-plane as shown on the graph.
If the bag of fertilizer cost $11.75 what is the cost of nitrogen per pound?
Answer: 40 cents
Step-by-step explanation: Cost per lb of N in 1 ton of 28% UAN = $225 ÷ 560 lbs N = 40 cents per lb N.
Add these equations
-2x+4y= 17
3x-10y= -3
Answer:
x - 6y = 14
Step-by-step explanation:
Add the like terms (x's and y's and constants):
-2x+4y= 17
+ (3x-10y= -3)
x - 6y = 14
-7(8x + 5) = 5x+10
Solve for x simplify
(No solution, Infinitely many solutions, One solution)
The equation -7(8x + 5) = 5x+10 has one solution of x which satisfies the equation. The solution is x = -45/61.
What is solution of system of equation?
A solution to a system of equations is a set of values for the variable that satisfy all the equations simultaneously. In order to solve a system of equations, one must find all the sets of values of the variables that constitutes solutions of the system.
According to the given question:
Given equations is -7(8x + 5) = 5x+10
Simplifying both sides to get value of x
-7(8x + 5) = 5x+10
-56x - 35 = 5x + 10
-61x = 45
x = -45/61
Therefore x has one solution which is -45/61
To know more about solution of system of equations visit
https://brainly.com/question/28022879
#SPJ1
30 plus 50 written as 2 factors
The expression 30 _ 50 can be written as 2 factors as: 5(6 + 10).
What is a Factor?A factor, in mathematics, can be described as an integer that is a divisor of another integer that will produce a value it can be multiplied with to can that same integer it divides.
For example, if m/n = a, and (m)(a) = n, then m and n are factors.
Given the expression, 30 + 50, we can write this expression as product of factors as shown below:
5 into 30 is 6
5 into 50 is 10.
Therefore:
5(6 + 10)
Therefore, the two factors of the expression, 30 + 50 are written as: 5(6 + 10).
Learn more about factors on:
https://brainly.com/question/25829061
#SPJ1
Convert 460000 milligrams into pounds. Round your answer to the nearest hundredth.
Answer:
460000 milligrams converted to pounds would be 1.01 pounds.
Step-by-step explanation:
¿What is the answer the EG ?
Ques) What is the symbol (∑)?
This symbol is used to denote the sum of multiple numbers.
This symbol is generally put by an index that varies to encompass all terms that must be considered in the sum of all the numbers.
In order to calculate the arithmetic mean of a set of data, the first step is to add up (sum) all of the data values (x) and then divide the result by the number of values (n). Since ∑ is the symbol used to indicate that values are to be summed (see Sigma Notation) we obtain the following formula for the mean
Mean = ∑ x/n
To know more about ∑ check here:
https://brainly.com/question/28163163
If the length of an rectangle is '' x-4 '' and the width is '' 3x-3 '' What would be the expression to represent the perimeter.
The expression that represents the perimeter of the rectangle is 8x - 14
What is a rectangle?A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles. The opposite sides of the rectangle are equal in length which makes it different from a square.
Length of rectangle(L) = x - 4
Width of rectangle(W) = 3x - 3
Perimeter of rectangle = 2(L + W)
L = x - 4, W = 3x - 3
Perimeter of rectangle = 2( x - 4 + 3x - 3)
Perimeter of rectangle = 2( 4x - 7) which is 8x - 14
In conclusion 8x - 14 is the expression for the perimeter of the rectangle
Learn more about perimeter of rectangles: https://brainly.com/question/24571594
#SPJ1
7. A tour guide charges $28 to take four people on a tour. How much does the tour guide charge per person?
Answer: $7
Step-by-step explanation:
We know that $28 for four people.
So we take 28 divided by 4 and we get $7 per people
almost every american adult has this thing
Answer: omm
but I need this so
Step-by-step explanation:
A line has a slope of 9 and includes the points (
–
5,
–
6) and (p,3). What is the value of p?
Answer:The value of p is -9.
Step-by-step explanation:
m=(y2-y1)/(x2-x1)m=(p-3)/(9-6)m=(p-3)/3-4=(p-3)/3-4*3=p-3-12=p-3p=-12+3p=-9
