At 3pm the outside Temperature was 4°F . The Temperature then fell steadily by 2°F every hour for the next four hours . What was the temperature at 7 PM
Answers
Answer:
Step-by-step explanation:
Temperature at 3pm: 4° F
After the decrease in temperature per hour by 2°F
Temperature at 4pm: 2°F
Temperature at 5pm: 0°F
Temperature at 6pm: -2°F
Temperature at 7pm:-4°F
Hence we can say that the temperature at 7pm is -4°F
Related Questions
At the local health food tore, macadamia nut are priced at 0. 45 per ounce. Taylor meaure out 1 3/4 of macadamian nut. How much will taylor pay for the macadamia nut
Answers
Taylor has to pay 0.7875 ounces for the macadamia nut.
What is the rule of multiplication?
If a, b, and c are three numbers given to us and any expression is expressed as \(a\frac{b}{c}\) then it can be expressed as
\(a\frac{b}{c}\) = \(\frac{a*c + b}{b}\)
It is given that, Taylor measures out \(1\frac{3}{4}\) of macadamia nut.
\(1\frac{3}{4} = \frac{1*4 + 3}{4}\\\\ 1\frac{3}{4} = \frac{7}{4}\)
= 1.75 macadamia nut.
Per ounce is at 0.45
then 1.75 macadamia nuts will cost her = 1.75 * 0.45
= 0.7875 ounces.
Hence, Taylor has to pay 0.7875 ounces for the macadamia nut.
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= 259.84 −168.789what is the answer
Answers
Answer:
91.051
Step-by-step explanation:
259.840
- 168.789
---------------
091.051
----------------
Find the length of the arc of the curve from point P to point Q.
x2 = (y − 4)3, P(1, 5), Q(27, 13)
Answers
the length of the arc of the curve from point P to point Q is
= 1/27 [85√(85) - 13√(13)]
What is the length of the arc of the curve?
Integral calculus addresses the geometrical idea of curve length.
Calculus offered a method for measuring the length of a curve by segmenting it into ever-tinier line segments or circle arcs. Combining such a procedure with the concept of a limit allows one to determine the precise length of a curve. A formula employing the integral of the function characterizing the curve serves as a summary of the entire process.
To find the length of the curve first we differentiate the equation with respect to any variable.
Than we square the both side of differentiate equation.
Than we integral of the equation
After that we put the limit of that variable against which we differentiate the equation and solve it to find the answer.
in this, we differentiate the x² = (y-4)³ with respect to y and solve it.
we get the length of the arc of the curve is 1/27 [85√(85) - 13√(13)]
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A square calendar has sides that are 9 inches long. What is the area?
Answers
Answer:
81 because area=lxh so 9x9 is 81
\(i \: hope \: it \: will \: hellp \: you \: \)
apply the distributive property to factor out the greatest common factor for 9+12n I need an expression too
Answers
Answer:
3(3+4n)
Step-by-step explanation:
3. The edge of a cube is 80 cm, long. How will its volume and surface area change if its edge is decreased by 10%?
Answers
By decreasing the side by 10% the volume will be decreased by 27.1% and the surface area will decrease by 19%.
What is volume?Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m3), a derived unit, is the SI unit of volume. Volume is another word for capacity.
Given, The edge of a cube is 80 cm, long.
The volume of a cube is found by
Volume = side³
The volume of a cube with an 80cm long side is equal to 80³.
80 x 80 x 80 = 512000 cm³
If you decrease its side by 10%, you now have a cube with a 72cm side.
72³, or 72 x 72 x 72 = 373248 cubic cm
By decreasing the side, you have decreased the volume by
512000-373248 = 138752, or 27.1%
The surface area of a cube is found by 6side²
The surface area of a cube with an 80cm side is equal to 6*80², or 6*6400, or 38400 sq cm.
If you decrease its side by 10%, it becomes 6*72², or 6*5184, or 31104.
The decrease is 7296, which is 19%.
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cuanto es? (x-1) aunque la operación completa es 1-(x-1)=2 (1-x)-6
Answers
Answer:
x-1 es 1 y mi ID de free fire es 604610164
Jolon used the slope-intercept form to write the equation of a line with slope 3 that passes through the point (5, –2). His work is shown below.
Step 1: Negative 2 = 3 (5) + b
Step 2: negative 2 = 15 + b
Step 3: Negative 2 + 15 = 15 + 15 + b
Step 4: Negative 13 = b
Step 5: y = 3x – 13
Answers
Answer:
Jolon mistakingly added 15 to both sides of the equation in Step 3. Step 3's correct answer is -2 + 15 = -15 + 15 + b, Step 4's correct answer is -17 = b, and Step 5's correct answer is y = 3x - 17
Step-by-step explanation:
It appears that you're trying to identify Jolon's mistake. If you're trying to do something else, type it in the comments as the answer I'm providing identifies Jolon's mistake.
In Step 3, Jolon added 15 to both sides. However, doing this would have given you (-2 + 15) = (15 + 15 + b), which becomes -13 = 30 + b. In order to eliminate 15 on the right-hand side of the equaiton, Jolon instead needed to subtract 15 from both sides, which gives you (-2 - 15) = (15 - 15 + b). This simplifies to -17 = b.You can check that -17 = b is correct by plugging in 3 for m, (5, -2) for (x, y), and -17 for b in the slope-intercept form (y = mx + b) and checking that you get the same answer on both sides of the equation:-2 = 3(5) - 17
-2 = 15 - 17
-2 = -2
Thus, Step 3 should be: (-2 + 15) = (-15 + 15 + b), Step 4 should be: -17 = b, and Step 5 should be: y = 3x - 17
The answer is:
y = 3x - 17Work/explanation:
We need to write the equation in slope intercept form.
y = mx + b
where m = slope and b = y intercept; x and y are the co-ordinates of a point on the line
Plug in the data
\(\sf{y=mx+b}\)
\(\sf{y=3x+b}\)
\(\sf{-2=3(5)+b}\)
\(\sf{-2=15+b}\)
\(\sf{-2-15=b}\)
\(\sf{-17=b}\)
Hence, the answer is y = 3x - 17; Jolon was wrong because he shouldn't have added 15 to each side; he should have subtracted it instead. Also, 15 + 15 doesn't cancel out to 0. As a result, he got a wrong answer. The right one is y = 3x - 17.
along a river is to be fenced. suppose that no fence is needed along the river, the fence on the side opposite the river costs $40 per foot, and the fence on the other sides costs $10 per foot. if the field must contain 64,800 square feet, what dimensions will minimize costs?
Answers
The dimensions required to minimize the cost of fencing is 180ft and 360 ft.
According to question
The cost of fence on opposite side of river is $40.
The cost of fence on other sides of river is $10.
Total yield = 64800 sq. feet
Let the length of fence on the opposite side of fence be x and width of fence on the other side be y.
Area of fence = xy = 64800 sq feet
⇒ \(y = \frac{64800}{x}\)
Let C be the cost of making fence.
For cost to be minimum, dC/dx should be equal to zero.
C = 40x + 10y * 2
⇒ C = \(40x + 10(\frac{64800}{x})*2\)
⇒ \(\frac{dC}{dx} = 40 + 20 * 64800 * \frac{-1}{x^{2} } = 0\)
⇒ \(40x^{2} = 20 * 64800\)
⇒ \(x^{2} = 32400\)
⇒ \(x = 180\)
⇒ \(y = \frac{64800}{180} = 360\)
So, the dimensions needed will be 180 ft and 360 ft.
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Which expression is equivalent to the one below?
3(10+)
-5
1
4
-5
8
5+
1
8
1
-5+
4
Answers
Answer: 1 and 5 ?
i'm so confused o-o
Step-by-step explanation: i have no idea what i'm doing i just picked a random answer, i'm very sorry if i'm wrong :c
Answer:
Do you have a picture, I can answer you faster?
A roller-coaster is at the top of a 62-meter hill. the car and its passengers have a total mass of 1,088 kilograms. by the time the car reaches the bottom of the hill, its speed is 74 miles per hour (33 meters per second). how much kinetic energy does the car have at the bottom of the hill?
Answers
The kinetic energy of the roller coaster at the bottom of the hill is approximately 594,576 J.
The potential energy of the roller coaster at the top of the hill can be calculated as:
PE = mgh
where m is the mass of the car and its passengers, g is the acceleration due to gravity \((9.8 m/s^2\)), and h is the height of the hill (62 m). Thus, we have:
PE =\((1088 kg)(9.8 m/s^2)(62 m) = 670,720 J\)
At the bottom of the hill, all of the potential energy has been converted to kinetic energy. The kinetic energy of the roller coaster can be calculated as:
\(KE = (1/2)mv^2\)
where v is the speed of the roller coaster at the bottom of the hill. Thus, we have:
\(KE = (1/2)(1088 kg)(33 m/s)^2 = 594,576 J\)
Therefore, the kinetic energy of the roller coaster at the bottom of the hill is approximately 594,576 J.
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Given: (GH) is a midsegment of ∆DEF. Show all work.
a. Find the value of x and y.
b. What is the length of DF?
Answers
Applying the triangle midsegment theorem:
a. x = 17; y = 2
b. Length of DF = 20 units.
What is the Triangle Midsegment Theorem?The triangle midsegment theorem states that the midsegment of a triangle is always parallel to the third side, and has a length that is half the length of the third side of the triangle.
GH is said to be the midsegment of triangle DEF, therefore:
a. GH = 1/2(EF) [triangle midsegment theorem]
Substitute
x - 3 = 1/2(28)
2(x - 3) = 28
2x - 6 = 28
2x = 28 + 6
2x = 34
2x/2 = 34/2
x = 17
HF = x - 7
Plug in the value of x
HF = 17 - 7
HF = 10
HF = DH = 10
y + 8 = DH
y + 8 = 10
y = 10 - 8
y = 2
b. Length of DF = HF + DH
Length of DF = 10 + 10 = 20 units.
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a certain state the license plate has two digits, then two letters, and then two digits. How many different license plates are possible if letters and digits cannot be repeated?
Answers
Step-by-step explanation:
Choosing 4 digits out of 10 = 10C4 = 210.
Arranging the 4 digits in 4 places = 4!
Total number of ways to arrange digits
= 210 * 4! = 5040.
Choosing 2 letters out of 26 = 26C2 = 325
Arranging the 2 letters in 2 places = 2!
Total number of ways to arrange letters
= 325 * 2! = 650.
Total number of possible license plates
= 5040 * 650 = 3,276,000.
Answer:
3,276,000
Step-by-step explanation:
10 x 9 x 26 x 25 x 8 x 7 = 3,276,000
the numbers 10, 9, 8, 7 are the spaces available for a non-duplicated digit
the numbers 26 and 25 are for two non-duplicated letters
Anyone know this?? Step by step please .
Find the absolute extreme if they exist, as well as the value of x where they occur for the function f(x) = 2x^2+384In x on the domain [1,6].
Answers
1. Find the critical points of the function inside the domain.
2. Evaluate the function at the critical points and at the endpoints of the domain.
3. Compare the values obtained to determine the absolute extreme values.
Let's apply these steps to the function f(x) = 2x^2 + 384 ln(x) on the domain [1,6].
1. Find the critical points of the function inside the domain.
The critical points of a function are the points where the derivative is zero or undefined. We can find the derivative of f(x) as:
f'(x) = 4x + 384/x
To find the critical points, we need to solve the equation f'(x) = 0:
4x + 384/x = 0
Multiplying both sides by x, we get:
4x^2 + 384 = 0
Dividing both sides by 4, we get:
x^2 + 96 = 0
This equation has no real solutions, since x^2 is always positive and 96 is positive too. Therefore, there are no critical points inside the domain [1,6].
2. Evaluate the function at the critical points and at the endpoints of the domain.
Since there are no critical points inside the domain, we only need to evaluate the function at the endpoints:
f(1) = 2(1)^2 + 384 ln(1) = 0
f(6) = 2(6)^2 + 384 ln(6) ≈ 290.7
3. Compare the values obtained to determine the absolute extreme values.
The function f(x) has a minimum value of 0 at x = 1 and a maximum value of approximately 290.7 at x = 6.
Therefore, the absolute extreme values of the function f(x) on the domain [1,6] are:
- Absolute minimum: 0, at x = 1
- Absolute maximum: approximately 290.7, at x = 6
2
3) Last week, the price of gasoline was $3
per gallon. This week, the price fell to
$2.85 per gallon. By what percent did the
price of gasoline drop week over week?
Solve using an equation.
Answers
Answer:
decrease by 5%
Step-by-step explanation:
2.85 - 3 = -0.15
-0.15/3 = -0.05
-0.05 x 100 = -5%
If 10 is subtract from 2 times a number the result is less than 4
a)State the inequality in symbol
b) Solve the inequality
Answers
Answer:
The answer is b) Solve the unequality
Substituting the equation x = 4y - 12 into the equation -2y = x -
6 will produce the equation
Answers
Answer: y=-(4y-12)/2 + 3; x=0 y=3
anyone know what -36 divide by 4 is i forgot lol
Answers
the data value x=45 has a deviation value of 12. explain the meaning of this
Answers
The deviation value of 12 for the data value x=45 indicates that the value of 45 deviates or differs from the average or expected value by 12 units.
In statistics, the deviation represents the difference between a data point and the average value or mean. In this case, the data value x=45 has a deviation value of 12, meaning it is 12 units away from the average or expected value. The deviation can be positive or negative, depending on whether the data point is above or below the average.
Deviation is a useful measure to assess how individual data points vary from the average. It provides insights into the spread or dispersion of data within a dataset. A larger deviation value suggests greater variability or dispersion of data points from the average, indicating less consistency or precision in the measurements. Conversely, a smaller deviation value indicates less variability and greater consistency.
In the context of x=45 with a deviation of 12, it implies that the value of 45 is relatively far from the average value, suggesting a higher degree of variability or dispersion in the dataset.
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Find the values of each function for x= 0, 1, 2, 3, and 4. Analyze the pattern in the outputs to determine if the sequence is arithmetic, geometric, or neither. x^2+3
Answers
On solving the provided question, we can say that . Instead, it appears function to be a sequence of the form \(a_n = n^2 + 3\), which is a quadratic sequence.
what is function?Mathematics deals with numbers and their variants, equations and associated structures, forms and their positions, and locations where they might be found. The term "function" describes the connection between a group of inputs, each of which has a corresponding output. A function is an association between inputs and outputs where each input results in a single, unique outcome. A domain and a codomain, or scope, are assigned to each function. Functions are often denoted by the letter f. (x). The input is an x. On functions, one-to-one functions, many-to-one functions, within functions, and on functions are the four primary categories of functions that are available.
\(x=0: 0^2 + 3 = 3\\x=1: 1^2 + 3 = 4\\x=2: 2^2 + 3 = 7\\x=3: 3^2 + 3 = 12\\x=4: 4^2 + 3 = 19\\\)
To analyze the pattern in the outputs and determine if the sequence is arithmetic, geometric, or neither, we can look at the differences between consecutive terms:
4 - 3 = 1
7 - 4 = 3
12 - 7 = 5
19 - 12 = 7
The differences between consecutive terms are not constant, so the sequence is neither arithmetic nor geometric. Instead, it appears to be a sequence of the form \(a_n = n^2 + 3\), which is a quadratic sequence.
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Multiple Choice: The volume of the square-based pyramid with base edge 9 units and height 48 units is: a. 324 units³ b. 1296 units³ c. 3888 units³ d. not enough information 9 ↑ ¹48 68
Answers
The volume of the square-based pyramid is 3888 units³. Your answer is option B. 3888 units³.
The formula to calculate the volume of a pyramid is V = (1/3)Bh,
Where B is the area of the base and h is the height.
In this case, the base is a square with edge length 9 units, so the area is B = 9² = 81 units².
The height is given as 48 units.
Plugging these values into the formula, we get:
To find the volume of a square-based pyramid, you can use the following formula:
V = (1/3) * base area * height.
In this case, the base edge is 9 units and the height is 48 units.
First, find the base area:
A = side * side = 9 * 9
= 81 square units.
Next, calculate the volume:
V = (1/3) * 81 * 48 = 3888 cubic units.
V = (1/3)(81)(48)
V = 1296 units³
Therefore, the volume of the pyramid is 1296 units³, which is option b.
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What is the cost of 10. 0 gallons of gasoline priced at 1. 449 per gallon?
Answers
The cost of 10.0 gallons of gasoline priced at 1.449 per gallon is 14.49.
The cost of 10.0 gallons of gasoline priced at 1.449 per gallon can be determined using the formula Cost = Quantity * Price. To calculate the cost, first multiply 10.0 (the quantity) by 1.449 (the price). This gives the value 14.49, which is the cost of 10.0 gallons of gasoline priced at 1.449 per gallon.
To explain this further, when calculating the cost of an item, we need to take into account both the quantity and the price of that item. The quantity is the amount of the item that we will be purchasing, and the price is the amount that we will be paying for that item. In the case of gasoline, 10.0 gallons is the quantity, and 1.449 is the price per gallon.
To calculate the cost, we need to multiply the quantity by the price. This gives us the cost of the item. In this case, multiplying 10.0 (the quantity) by 1.449 (the price) gives us 14.49, which is the cost of 10.0 gallons of gasoline priced at 1.449 per gallon.
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what is 63.92/9.4 in long division explanation
Answers
In long division, 63.92/9.4 results with quotient of 6.8.
What is long division explanation?Long division is a method of dividing two numbers by repeatedly subtracting the divisor from the dividend and keeping track of the resulting quotient and remainder. This method is often used when dividing two numbers with several digits. The process of long division involves several steps that are repeated until there is no remainder left or until a desired level of precision is achieved.
In long division, the dividend is the number being divided, and the divisor is the number by which the dividend is being divided. The quotient is the result of the division, and the remainder is the amount left over after the division is complete.
006.800
94 | 639.200
−0
63
−0
639
−564
752
−752
0
Thus, In long division, 63.92/9.4 results with quotient of 6.8.
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How many terms are in the expression 5m2 - mn + 4n + 7?
Simplify 11(2x + 3).
Answers
Answer:
4 terms
22x+33
Step-by-step explanation:
1. You count 1, 2, 3, 4 because there are no like terms to combine
2. you can use the distributive property to multiply the terms
(2x times 11) plus (3 times 11)
Answer:
4 terms; 22x + 33
Step-by-step explanation:
5m2 - mn + 4n + 7:Expressions are made out of terms. A term can be a number, a variable, or a mixture of them. They are either added or subtracted.
In 5m2 - mn + 4n + 7, the terms are:
5m2mn4n7There should be 4 terms in the expression.
11(2x+3):\(11(2x+3)\\\text{Distribute.}\\\\11*2x=22x\\11*3=33\\\\11(2x+3)=\boxed{22x+33}\)
How do you dilate a shape by 2?
Answers
To dilate a shape by 2 we need to multiply coordinates of vertices of shape with 2.
What is dilation?Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. The initial shape should be stretched or contracted during a dilatation. The phrase "scale factor" describes this transition
I will multiply the x and y values of each point by 2 in order to enlarge the figure by a factor of two. To discover the new triangle, I plotted all the new points. The x and y values of each point will be multiplied by 2 to expand the figure by a factor of 2.
(x,y)=(2x,2y)
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use the properties of integrals to verify the inequality without evaluating the integrals. 2≤ ∫1 -1 √1 x^2 dx ≤ 2√2.
Answers
To verify the inequality without evaluating the integrals, we can use the properties of integrals.
First, we know that the integral of a positive function gives the area under the curve. Therefore, the integral of √(1-x^2) from -1 to 1 gives the area of a semicircle with radius 1. This area is equal to π/2, which is approximately 1.57.
Next, we can use the fact that the integral of a function over an interval is less than or equal to the product of the length of the interval and the maximum value of the function on that interval. Since the function √(1-x^2) is decreasing on the interval [-1,1], its maximum value is at x=-1, which is √2/2.
Using this property, we have:
∫1 -1 √(1-x^2) dx ≤ (1-(-1)) * √2/2 = √2
Finally, we can use a similar argument to show that the integral is greater than or equal to 2. Therefore, we have:
2 ≤ ∫1 -1 √(1-x^2) dx ≤ √2
To verify the inequality 2 ≤ ∫(1, -1) √(1 - x^2) dx ≤ 2√2 using properties of integrals, let's first establish that the integrand is non-negative on the interval [-1, 1]. Since 0 ≤ x^2 ≤ 1, we have 0 ≤ 1 - x^2 ≤ 1, so √(1 - x^2) is non-negative.
Now, consider the areas of two squares: one with side length 2 and the other with side length √2. The area of the first square is 2² = 4, and the area of the second square is (√2)² = 2. Since the integrand lies between 0 and 1, the area under the curve is less than the area of the first square but more than half of it (as it resembles half of the first square).
Therefore, 2 ≤ ∫(1, -1) √(1 - x^2) dx ≤ 2√2, as the area under the curve is between half of the first square's area and the second square's area.
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there are 93 calories in a small cupcake. how many calories are there in a half dozen small cupcakes?
Answers
Answer:
6
Step-by-step explanation:
A rectangular playground has length of 120 m and width of 6 m. Find its length, in metres, on a drawing of scale 1 : 5
Answers
Answer:
I. Length = 600 meters
II. Width = 30 meters
Step-by-step explanation:
Given the following data;
Length = 120m
Width = 6m
Drawing scale = 1:5
To find the length and width using the given drawing scale;
This ultimately implies that, with this drawing scale, the length and width of the rectangle would increase by a factor of 5 (multiplied by 5) i.e the rectangle is 5 times bigger in real-life than on the diagram.
For the length;
120 * 5 = 600 meters
For the width;
6 * 5 = 30 meters
Therefore, the dimensions of the rectangle using the given drawing scale is 600 meters by 30 meters.
4 = ⅝ + w
what is w please show work or explain
Answers
Answer:
w = \(\frac{27}{8}\)
Step-by-step explanation:
Give me Brainllest plz T-T
help me pls help help helppp
Answers
Answer:
£817600
Step-by-step explanation:
4÷100=20
20÷4600=320
7×365 it means 1 year=2555
2555×320=£817600