The temperature during a winter day was less than 8 degrees Fahrenheit. Digby wants to write an inequality for the temperature during the winter day. What constant should Digby use in the inequality?
Answers
Since we want the temperature to be less than 8 degrees Fahrenheit, 8 would be the constant that Digby should use in the inequality.
what is inequality ?
An inequality is a mathematical statement that compares two values or expressions using one of the inequality symbols: "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "≠" (not equal to).
To write an inequality for the temperature during a winter day being less than 8 degrees Fahrenheit, we can use the inequality symbol "<" which means "less than."
So, the inequality would be:
Temperature < 8 degrees Fahrenheit
Therefore, Since we want the temperature to be less than 8 degrees Fahrenheit, 8 would be the constant that Digby should use in the inequality.
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Related Questions
Between x = 0 and x = 1, which function has a greater average rate of change than y = 3x
?
Answers
Answer:
x=1
Step-by-step explanation:
y=3x so just add 1+3=4 then add veriable y=4x
Consider the problem: Minimize cx subject to Ax >= b, x >= 0. Suppose that one component of the vector b, say bi, is increased by one unit to bi + 1. a. What happens to the feasible region? b What happens to the optimal objective value?
Answers
A) If the change in b results in a smaller feasible region, then the optimal objective value will either remain the same or increase.
B) If the change in b results in a larger feasible region, then the optimal objective value may remain the same or decrease.
In linear programming, the objective is to minimize or maximize an objective function subject to certain constraints. One common constraint is that the solution must be in the feasible region, which is defined by the set of all solutions that satisfy the constraints.
Recall that the constraints are given by Ax >= b, where A is a matrix of coefficients and x is a vector of variables. If we increase one component of b, say bi, then the set of solutions that satisfy the constraints will change. Specifically, any solution that previously satisfied Ax >= b may no longer satisfy the constraints, since the left-hand side of the inequality is fixed while the right-hand side has increased. In other words, the feasible region may shrink or shift in response to the change in b.
Now let's consider the effect on the optimal objective value. Recall that the objective function is given by cx, where c is a vector of coefficients. The optimal objective value is the minimum (or maximum) value of cx over all solutions in the feasible region. If we increase one component of b, then the optimal objective value may or may not change, depending on the specifics of the problem.
To see why, let's think about what happens to the feasible region. As we noted above, the feasible region may shrink or shift in response to the change in b. If the optimal solution was previously at the boundary of the feasible region, then it may no longer be feasible, and the optimal objective value will increase. On the other hand, if the optimal solution was previously in the interior of the feasible region, then it may still be feasible, and the optimal objective value will remain the same.
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find the missing side. round to the nearest tenth
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The required angle is 24.5°.
Given is a right triangle with perpendicular side 16 and the base = 35 we need to find an acute angle in it,
To find the acute angle in a right triangle given the lengths of the perpendicular side and the base, you can use the tangent function.
The tangent of an angle is defined as the ratio of the length of the perpendicular side to the length of the base side.
In this case, the perpendicular side is 16 and the base is 35.
Let's denote the acute angle as θ.
Using the tangent function, we can set up the equation:
tan(θ) = perpendicular side / base
tan(θ) = 16 / 35
To find the value of θ, we can take the inverse tangent of both sides:
θ = tan⁻¹(16 / 35)
θ = 24.5°
Hence the required angle is 24.5°.
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Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?
Answers
Chay can use 3 bags of mulch per flower bed.
Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?The number of bags of mulch that can be used in each flower bed can be found by dividing the total number of bags of mulch by the number of flower beds, as given by the problem.Let X be the number of bags of mulch used in each flower bed. Then, the following equation can be written:Total number of bags of mulch = X × number of flower beds (20)Or, 55 = 20XDividing both sides of the equation by 20, we get: X = 55/20X = 2.75.Therefore, Chay can use 2.75 bags of mulch in each flower bed. However, since we cannot have a fraction of a bag of mulch, she would have to round up to 3 bags of mulch per flower bed to ensure each flower bed has enough mulch.
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what is the measure of x
Answers
Answer:
x = 9 inches
Step-by-step explanation:
You want the value of x in the similar triangles shown.
ProportionCorresponding sides are proportional. This means the ratio of the horizontal side of the triangle to the vertical side is the same for both.
6/4 = (6+x)/10
15 = 6 +x . . . . . . . . multiply by 10
9 = x . . . . . . . . . subtract 6
The measure of x is 9 inches.
__
Additional comment
You could also write the proportion ...
6/4 = x/(10 -4)
x = 36/4 = 9 . . . . . . . multiply by 6
You can see this if you draw a horizontal line through the figure at the top of the side marked 4 in.
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I need help pls pls pls
Answers
Answer:
e. 55 miles hope that helped
Hope this helps
Write an expression to represent the product of 6 and the square of a number plus 15. In your expression what is the value of the coefficient? A. 1 B. 6 C. 15 D. 2
Answers
Answer:
B) 6
Step-by-step explanation:
Let the number be x
Product of 6 and square of number plue 15 : (6x²) + 15
Coefficient of x² = 6
What is 2/3 × 4/5 = ?
Answers
Answer: ☆ ☆ ☆ ☆ ☆ ☆
\(\frac{8}{15}\)
Step-by-step explanation: ☆ ☆ ☆ ☆ ☆
\(\frac{2}{3} *\frac{4}{5} = \frac{8}{15}\)
We multiply the numerator times the numerator & the denominator times the denominator.
☆ ☆ ☆ ☆ ☆ ☆ ☆
1. in a completely randomized design, 10 experimental units were used for the first treatment, 12 for the second treatment, and 19 for the third treatment. sum of squares due to treatments and sum of squares total is computed as 1100 and 1700 respectively. prepare the anova table and complete the same (fill out all the cells). state the hypotheses. at a .05 level of significance, is there a significant difference between the treatments? use both p-value and critical-value approaches
Answers
We can cοnclude that there is a significant difference between the treatments.
What is p-value apprοach?This methοd is abοut determining "likely" οr "unlikely" by determining the prοbability assuming the null hypοthesis were true οf οbserving a mοre extreme test statistic in the directiοn οf the alternative hypοthesis than the οne οbserved.
Using the p-value apprοach, we can calculate the p-value fοr the F-statistic.
we see that F = 7.28. The degrees οf freedοm fοr treatments and errοr are df1 = 2 and df2 = 38, respectively. we can find that the p-value is apprοximately 0.0026.
Using the critical-value apprοach, we can find the critical value οf F fοr a significance level οf 0.05 and degrees οf freedοm df1 = 2 and df2 = 38. Frοm a table οr calculatοr, we find that the critical value is apprοximately 3.18.
Since the p-value (0.0026) is less than the significance level (0.05), we reject the null hypοthesis. Alternatively, since the F-statistic (7.28) is greater than the critical value (3.18), we reject the null hypοthesis.
Therefοre, we can cοnclude that there is a significant difference between the treatments.
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Need help with this math question.
Answers
Answer:
(0,8) (second option in list)
Step-by-step explanation:
f(0) = 8 means when x = 0, y = 8. Order pair format is (x,y), therefore:
the ordered pair for f(0) = 8
(0,8)
Which statement is true about the system x-3y=2 and y=x+6?
1. (8, 2) is not a solution to either equation, so it is not a solution to the system.
2. (8, 2) is a solution to one equation but not the other one, so it is a solution to the system.
3. (8,2) is a solution to both equations, so it is a solution to the system.
4. (8, 2) is a solution to one equation but not the other one, so it is not a solution to the system.
Answers
The true statement about the system of equations is the fourth one:
"(8, 2) is a solution to one equation but not the other one, so it is not a solution to the system."
Which statement is true about the system?The system of equations is:
x - 3y = 2
y = x + 6
We want to see which statement is true, all of them refer to the point (8, 2), so let's see if it is a solution of the system.
Replacing the values in the first equation we will get:
8 - 3*2 = 2
8 - 6 =2
2 = 2
For the second equation:
2 =8 + 6
2 = 14
This is false, so (8, 2) is not a solution of the second equation.
Then the true statement is:
" (8, 2) is a solution to one equation but not the other one, so it is not a solution to the system."
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Order cube root of eighty-eight, twenty-eight ninths, square root of nineteen from greatest to least.
cube root of eighty-eight, twenty-eight ninths, square root of nineteen
twenty-eight ninths, square root of nineteen, cube root of eighty-eight
twenty-eight ninths, cube root of eighty-eight, square root of nineteen
cube root of eighty-eight, square root of nineteen, twenty-eight ninths
Answers
Answer:
(a) twenty-eight ninths, square root of nineteen, cube root of eighty-eight
Step-by-step explanation:
When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.
OrderThe attachment shows the ordering, least to greatest, to be ...
\(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)
__
Additional comment
We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.
One way to do the comparison is to convert these to values that need to have the same root:
√19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)
∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)
The roots will have the same ordering as 19³ and 88².
Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...
19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859
88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744
Then the ordering is ...
28/9 < 19³ < 88² ⇒ 28/9 < √19 < ∛88
Answer:
the ordering is
28/9 < 19³ < 88² ⇒ 28/9 < √19 < ∛88
Step-by-step explanation:
Find 96.1% of 146. Round to the nearest tenth.
Answers
The value of 96.1% of 146 is 140.31
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
We have to find the value of 96.1% of 146.
Convert 96.1% to the decimal value by dividing with 100
96.1/100=0.961
Now multiply 0.961 with the 146 to find the value.
0.961×146
140.306
Hence, the value of 96.1% of 146 is 140.31
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Please solve this with clear steps!!!!! 20 POINTS
Answers
The width of the river using the similar triangle is 43.3 metres.
How to find the width of the river?The surveyor wants to determine the width of the river . Let's use the pair of similar triangle to find the width of the river.
Therefore, two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.
Hence, let's find the width of the river.
Therefore,
18.6 / 34.2 = AB / 79.6
cross multiply
18.6 × 79.6 = 34.2 AB
34.2 AB = 1480.56
divide both sides of the equation by 34.2
AB = 1480.56 / 34.2
AB = 43.2912280702
AB = 43.3 metres
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A wildlife biologist captured and released 34 trouts from two different lakes and measured them to the nearest inch. She captured 17 of the fish from Fralest Lake and 17 of the fish from Lake Reverwalk. She then calculated the following statistical information.
Based on these samples, what generalization can be made?
Fralest Lake Lake Reverwalk
First Quartile 12.5 10
Second Quartile (median) 14 15
Third Quartile 16 17
A. At least half of the trout in Lake Reverwalk measure between 12 and 18 inches.
B. At least half of the trout in both lakes measure between 12 and 18 inches.
C. Not enough information is provided to draw any of these conclusions.
D. At least half of the trout in Fralest Lake measure between 12 and 18 inches.
Answers
The required generalization that can be made is at least half of the trout in both lakes measure between 12 and 18 inches. Therefore, option B is the correct.
What is the interquartile range?The Interquartile Range (IQR) formula is a measure of the middle 50% of a data set. The smallest of all the measures of dispersion in statistics is called the Interquartile Range. The difference between the upper and lower quartile is known as the interquartile range.
Given that, a wildlife biologist captured and released 34 trout's from two different lakes and measured them to the nearest inch.
Interquartile range (IQR), The IQR is the range of the middle 50% of values in a data set. To calculate the IQR, we first need to find the quartiles of the data set.
In the given question we have 3 IQR data sets that jointly vary from 10 to 17 by this we can conclude that, at least half of the trout in both lakes measure between 12 and 18 inches.
Therefore, option B is the correct.
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4 3/7 into an improper fraction .
Answers
31/7 is the answer
I hope you have a nice day
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Because I never do.
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Add the product to the numerator. Using the example, add 28 and 3.
14) Noah needs a car to get to his new job each day. He figures he can afford to pay $120 each month. Since he
is not looking at a new car, his bank will only give him a 4-year loan at 9.20 percent interest. Given these
parameters, what is the most Noah can borrow? Give answer to nearest hundred dollars.
O a.) $4600
Ob.) $4800
Oc.) $4900
O d.) $5000
Answers
Answer: $4600
Step-by-step explanation:
PLEASE ANSWER - PLEASE ANSWER
The diagram shows triangle ABC. ABC and BED are straight lines. AB = 12.2cm, CD = 5.8cm, BE:ED = 3:1, Angle ADB = 90°, Angle ABD = 38°.
Work out the size of angle DCE, correct to 1 decimal place. SHOW ALL WORKING IN TEXT FORM, NO IMAGES.
Answers
The measure of angle DCE in this problem is given as follows:
m < DCE = 22.5º.
How to obtain the measure of angle DCE?The triangles in this problem are right triangles, meaning that the trigonometric ratios are used to find the measures.
The three trigonometric ratios are given as follows:
Sine of angle = length of opposite side divided by the length of the hypotenuse.Cosine of angle = length of adjacent side divided by the length of the hypotenuse.Tangent of angle = length of opposite side divided by the length of the opposite side.The segment DB is adjacent to angle of 38º, while the hypotenuse is of 12.2 cm, hence the length of segment DB is calculated as follows:
cos(38º) = DB/12.2
DB = 12.2 x cosine of 38 degrees
DB = 9.6 cm.
BE:ED = 3:1, means that segment DE is one-fourth of segment DB, and thus it's length is given as follows:
DE = 1/4 x 9.6
DE = 2.4 cm.
Then for the angle DCE, we have that the opposite side is of 2.4 cm while the adjacent side is of 5.8 cm, hence the tangent is used to find it's measure, as follows:
tan(x) = 2.4/5.8
x = arctan(2.4/5.8)
x = 22.5º
m < DCE = 22.5º.
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Answer:
x = 22.5°
Step-by-step explanation:
BD = cos(38)*12.2 = 9.61DE = 9.61*¼ = 2.4∠DCE = tan(2.4/5.8) = 22.5°Which of the following correctly describes the Pythagorean theorem
1.The sum of the lengths of the legs of a right triangle is equal to the length of the hypotenuse.
2.The sum of the squares of the lengths of the legs of a right triangle is equal to the square of the length of the hypotenuse.
3.The product of the lengths of the legs of a right triangle is equal to the length of the hypotenuse.
4.The product of the squares of the lengths of the legs of a right triangle is equal to the square of the length of the hypotenuse.
Answers
Answer:
2)The sum of the squares of the lengths of the legs of a right triangle is equal to the square of the length of the hypotenuse.
Step-by-step explanation:
(leg₁)² + (leg₂)² = (hypotenuse)²
A storage bin in the corner of Joe's room has the dimensions shown below. What is the volume of the bin?
Answers
IDK IT WAS BLACK LAST TIME SO I TRY AGAIN
Answers
Answer:
-6
Step-by-step explanation:
On the number line, b is between -18 and 0. This means it has to be a number between those numbers.
It's not 9 because that's greater than 0
It's not 22 because that's greater than 0
It's not -34 because thats less than -18
That leaves us with -6
what is the mode for 9,4,4,4,3,2
Answers
Answer:
Mode 4
Step-by-step explanation:
Mean x¯¯¯ 4.3333333333333
Median x˜ 4
Mode 4
Range 7
Minimum 2
Maximum 9
Count n 6
Sum 26
Quartiles Quartiles:
Q1 --> 3
Q2 --> 4
Q3 --> 4
Help please, will mark you as brainliest!!
Need help on both..
Answers
Answer:
the answer is c for the second one and the first one is A
Could use help on this thank you in advance!
Answers
Answer:
what exactly do i need to do ?????
Step-by-step explanation:
100 Points. Algebra question, photo attached. Graph the function. Describe its key characteristics. Thank you!
Answers
Answer:
Domain = (-∞, ∞) Range = (-∞, ∞)
End Behavior: As X -> -∞, Y -> -∞ | As X -> ∞, Y -> ∞
Inflection Point: (2,0)
Step-by-step explanation:
I need help with this
Answers
The statement that is equivalent to |6x-3|=3 is: 6x-3=3 or 6x-3=-3
For the equation to be true, two scenarios need to be considered:
When the expression 6x-3 is positive and equals 3:
6x-3 = 3
When the expression 6x-3 is negative and equals -3:
6x-3 = -3
By solving these two equations, we can find the equivalent statement:
Solving 6x-3 = 3:
Adding 3 to both sides gives us:
6x = 6
Dividing both sides by 6:
x = 1
Solving 6x-3 = -3:
Adding 3 to both sides gives us:
6x = 0
Dividing both sides by 6:
x = 0
Therefore, the equivalent statement to |6x-3|=3 is:
6x-3=3 or 6x-3=-3, which can be further simplified to:
6x-3=3 or 6x-3=-3
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The manager of a company wants to find out how many hours the employees worked in the previous month. Which of the following is a statistical question that the manager can ask?
Answers
It only seeks a single value and does not involve collecting data to draw general conclusions.
Which of the following is a statistical question that the manager can ask?"Which employee worked the most hours in the previous month?" is not a statistical question because it only seeks a single value and does not involve collecting data to draw general conclusions.
On the other hand, "What is the average number of hours worked by employees in the previous month?" is a statistical question because it involves collecting data on all employees and using it to draw general conclusions about the entire workforce.
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Use the linear regression feature on a graphing calculator to find an equation of the line of best fit for the data. Round each value in your equation to the nearest tenth.
Answers
The equation of line for the given data is y = 5x -1.
According to the given question.
We have a data of points for a equaton of line.
As we know that the standard equation of line is y = mx + b.
Where, m is the slope of line and b is the y intercept.
Since, the points which are given in the data must satisfy y = mx + b.
Therefore,
Lets take the points (1, 4) and (2, 9) and substitute it in y = mx + b to find the value of m and b.
At x = 1 and y = 4
4 = m + b ..(i)
And at x = 2 and y = 9
9 = 2m + b ..(ii)
From equation i and ii
m = 5
So, b = -5 + 4 = -1
Hence, the equation of line for the given data is y = 5x -1.
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hELPPPPPPPPPPPPPPPPPPPPPP PWESEEEEEEEEEEEEEEEE
Answers
Answer:a or possibly c
Step-by-step explanation:
Answer: D. The experimental probability is greater than the theoretical probability.
Step-by-step explanation:
Experimental Probability
Sam rolled a 6 39/75 times
39/72 = 0.52 probability
Theoretical Probability
The likelihood of rolling a 6, in general, is 1/6, as a die has 6 sides, and a 6 is found on one of the six sides.
1/6 = 0.167 probability
52% experimental > 16.7% probability, thus the answer would be D.
25ft long 10 Ft tall 12 ft wide. Find volume in cubic yards
Answers
The volume of the rectangular prism is given as follows:
344 cubic yards.
How to obtain the volume of the rectangular prism?The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, as follows:
Volume = length x width x height.
Each ft is composed by 1/3 yards, hence the dimensions in yards are given as follows:
25/3 = 8.33 yards.10/3 = 10.33 yards.12/3 = 4 yards.Hence the volume of the prism, in cubic yards, is given as follows:
V = 8.33 x 10.33 x 4
V = 344 cubic yards.
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