Travelling at 24 km/h on a snowmobile makes an air temperature of 4°C feel like -6°C because of the wind chill. What is the difference in these temperatures?
Answers
The difference in temperature is currently six degrees Celsius. Therefore, the appropriate reaction is six degrees Celsius.
What is the difference in temperatures?When two independent temperature readings are subtracted, or when calculating the amount of temperature rise or fall, the result is a temperature difference, also referred to as a delta temperature (T).
Simply subtract the smaller amount from the larger one to determine the difference in temperature, in this case 19 degrees Celsius from 25 degrees Celsius. We now have a six-degree Celsius temperature difference as a result. Therefore, six degrees Celsius, is the appropriate response.
Due to the varied amounts of radiation the Earth receives from the Sun at various periods of the year, there are variations in climate all over the world. The equator receives more heat from the Sun than the north and south poles, where the angle of the Sun's beams is lower.
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Related Questions
3. MODELING REAL LIFE An apple growing on a tree
has a circumference of 6 inches. (See Example 2.)
a. The apple has a density of 0.46 gram per cubic
centimeter. Find the mass of the apple.
b. The radius of the apple increases inch per week
for the next five weeks. How does the volume
change during the five-week period? Explain
Answers
a. The mass of the apple is approximately 33.879 grams.
b. The volume of the apple increases by approximately 1.454 cubic inches during the five-week period.
a. To find the mass of the apple, we need to calculate its volume first. The circumference of the apple can be used to determine its radius.
The formula for the circumference of a circle is C = 2πr,
where C is the circumference and r is the radius.
Rearranging the formula, we have r = C / (2π).
Plugging in the given circumference of 6 inches.
we get r = 6 / (2π) ≈ 0.955 inches.
Now, we need to convert the radius from inches to centimeters since the density is given in grams per cubic centimeter.
Since 1 inch is approximately 2.54 centimeters, the radius in centimeters is \(0.955 \times 2.54\) ≈ 2.427 cm.
Next, we can calculate the volume of the apple using the formula for the volume of a sphere: V = (4/3)πr³.
Plugging in the radius in centimeters, we get
V ≈ (4/3)π(2.427)³ ≈ 73.682 cm³.
Finally, we can find the mass of the apple by multiplying the volume by the density:
mass = volume \(\times\) density
= 73.682 cm³ \(\times\) 0.46 g/cm³
≈ 33.879 grams.
Therefore, the mass of the apple is approximately 33.879 grams.
b. The volume of a sphere increases with the cube of its radius.
Since the radius increases by 1/8 inch per week for five weeks, the change in radius would be\((1/8) \times 5 = 5/8 inch.\)
Now, let's calculate the change in volume during the five-week period. The formula for the volume of a sphere is V = (4/3)πr³.
Initially, the radius was 0.955 inches.
After five weeks, the radius would be 0.955 + 5/8 inches.
To compare the change in volume, we can calculate the new volume and find the difference:
Change in Volume = New Volume - Initial Volume
Initial Volume = (4/3)π(0.955)³
New Volume = (4/3)π(0.955 + 5/8)³
By subtracting the initial volume from the new volume, we can determine how the volume changes during the five-week period.
Please note that the exact calculation will depend on the precise values used for π and the measurements provided.
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Is x = 6 a solution to the equation 5(x - 3) = x + 13?
Follow the steps to find out.
1. Rewrite the equation 5(x - 3) = x + 13 with 6 substituted for x. Write a
question mark over the equal sign to show that you're testing to see if the
equation is true.
Write your answer in the space below.
Answers
5(6-3)?= 6+13 Times by 5 and add or take away each side
30-15?= 19. take away
15=19 meaning x=6 is not correct
Solve this system by elimination
10x+6y=14
-x-6y=-23
Answers
Answer:
(-1, 4)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define systems
10x + 6y = 14
-x - 6y = -23
Step 2: Solve for x
Elimination
Add 2 equations together: 9x = -9Divide 9 on both sides: x = -1Step 3: Solve for y
Define original equation: -x - 6y = -23Substitute in x: -(-1) - 6y = -23Multiply: 1 - 6y = -23Subtract 1 on both sides: -6y = -24Divide -6 on both sides: y = 4I just need the answer for the blank space, thank you.
Answers
At a drug research testing facility:
The population mean is 240 minutes.The population standard deviation is 40 minutes.The sample size is 10 people.Yes, it is given that the population distribution is normally distributed.The mean of the sample means will also be 240 minutes, which is the same as the population mean.The standard deviation of the sample means is (population standard deviation)/(sqrt(sample size)) = 40/(√(10)) = 12.65 minutes.What are the probabilities?To find the probability that the drug will wear off in less than 200 minutes:
The z-score is (200-240)/40 = -1.
Using a standard normal distribution table or calculator, P(z < -1) = 0.1587. Therefore, the requested probability is P(x < 200) = 0.1587.
To find the probability that the drug will wear off after 220 minutes:
The z-score is (220-240)/40 = -0.5.
Using a standard normal distribution table or calculator, P(z < -0.5) = 0.3085. Therefore, the requested probability is P(x > 220) = 0.3085.
To find the probability that the drug will wear off between 200 and 220 minutes:
Using the z-scores calculated above, find the area between them on the standard normal distribution. P(-1 < z < -0.5) = 0.1867.
Therefore, the requested probability is P(200 < x < 220) = 0.1867.
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5. What is the degree of the following polynomial?
3x³ +9x²-x-10
A.) 4
B.) 5
C.) 3
D.) 6
Answers
Answer:
C
Step-by-step explanation:
the degree of a polynomial is the value of the largest exponent of the variable within the expression.
3x³ + 9x² - x - 10
the term 3x³ has the largest exponent in the expression
the polynomial is therefore of degree 3
If a =5 and b = 9, what is the following fraction in lowest terms? a+1/b
Answers
Answer:
2/3
Step-by-step explanation:
since a is 5 and b is 9.
so, 5+1( according to the expression given)/9
5+1/9 equals 6/9 and taking them down to the lowest terms that makes the answer 2/3
Find the equation of a line that contains points (5,-3) and (-2,-4) in standard form
Answers
To find the equation of a line that passes through the points (5, -3) and (-2, -4) in standard form, we can use the point-slope form of a linear equation and then convert it to standard form.
Determine the slope (m) of the line using the formula:
m = (y2 - y1) / (x2 - x1)
For the given points (5, -3) and (-2, -4), we have:
m = (-4 - (-3)) / (-2 - 5) = (-4 + 3) / (-2 - 5) = -1 / (-7) = 1/7
Use the point-slope form of a linear equation:
y - y1 = m(x - x1)
Using the point (5, -3), we have:
y - (-3) = (1/7)(x - 5)
Simplifying:
y + 3 = (1/7)(x - 5)
Convert the equation to standard form:
Multiply both sides of the equation by 7 to eliminate the fraction:
7y + 21 = x - 5
Rearrange the equation to have the x and y terms on the same side:
x - 7y = 26
The equation of the line in standard form that passes through the points (5, -3) and (-2, -4) is x - 7y = 26.
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Solve for u in terms of s, t, and v.
t = u + s + v
Answers
Answer:
\(t = u + s + v \\ \boxed{u = t - s - v}\)
u = t-s-v is the right answer.11. 4(x+1)=5(x-3)
help please
Answers
\(4(x + 1) = 5(x - 3) \\ 4x + 4 = 5x - 15 \\ 5x - 4x = 4 + 15 \\ x = 19\)
Find the area of the polygon. 4 cm 8 cm 8 cm 2 cm 2 cm 4 cm . . . Question content area right Part 1 The area of the polygon is
Answers
Answer:
the answer is 28 bc 2+2+4+4+8+8=28 so you answer will be twenty eight centi meters
Meaning of math statistics word cluster
Answers
Answer:
A cluster is the gathering or grouping of objects in a certain location. The definition of a cluster in math refers to data gathering around one particular value, specifically a number. A cluster can be identified visually on a table or graph where the data points bunch together.
Step-by-step explanation:
can u give this answer brilliant.
Answer:
A cluster is the gathering or grouping of objects in a certain location. The definition of a cluster in math refers to data gathering around one particular value, specifically a number. A cluster can be identified visually on a table or graph where the data points bunch together.
Step-by-step explanation:
can u give this answer brilliant.
Write an equivalent expression to 1/2 (2n+6).
Answers
Answer:
n+3
Step-by-step explanation:
1/2 × 2(n+3)=n +3
I hope this helps
Determine the location and value of the absolute extreme values of f on the given interval, if they exist. f (x )equals2 sine squared x on [0 comma pi ]Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. (Type an exact answer, using pi as needed. Use a comma to separate answers as needed.) A. The absolute maximum is nothing at xequals nothing, but there is no absolute minimum. B. The absolute minimum is nothing at xequals nothing and the absolute maximum is nothing at xequals nothing. C. The absolute minimum is nothing at xequals nothing, but there is no absolute maximum. D. There are no absolute extreme values for f (x )on [0 comma pi ].
Answers
Answer:
A. The absolute maximum is nothing at x equals nothing, but there is no absolute minimum.
Step-by-step explanation:
The equation is :
f(x) = 2x2 + x2
The function has not absolute maximum value and it has absolute minimum value 0. The both function has maximum value as nothing.
The seventh grade class is making a large round spinner out of wood to use in math class. The
spinner will have a radius of 4 feet. What is the area of the circle, in square feet, of the circle
that they make? (Let Pi = 3.14)
Answers
Answer:
50 square ft
Step-by-step explanation:
A detergent company periodically tests its products for variations in the fill weight. To do this, the company uses x-bar and R charts. Eight samples, each containing 10 detergent boxes, were selected from different batches. The data in fill weight (in ounces) of the eight samples is presented below.
Sample Sample Mean Sample Range
1 5.8 0.42
2 6.1 0.38
3 16.02 0.08
4 15.95 0.15
5 16.12 0.42
6 6.18 0.23
7 5.87 0.36
8 16.2 0.4
If A2 for the sample size is 0.3080, the lower controllimit for the x-bar chart is___________
Answers
Answer:
10.9361
Step-by-step explanation:
The lower control limit for xbar chart is
xdoublebar-A2(Rbar)
We are given that A2=0.308.
xdoublebar=sumxbar/k
Rbar=sumR/k
xbar R
5.8 0.42
6.1 0.38
16.02 0.08
15.95 0.15
16.12 0.42
6.18 0.23
5.87 0.36
16.2 0.4
Xdoublebar=(5.8+6.1+16.02+15.95+16.12+6.18+5.87+16.2)/8
Xdoublebar=88.24/8
Xdoublebar=11.03
Rbar=(0.42+0.38+0.08+0.15+0.42+0.23+0.36+0.4)/8
Rbar=2.44/8
Rbar=0.305
The lower control limit for the x-bar chart is
LCL=xdoublebar-A2(Rbar)
LCL=11.03-0.308*0.305
LCL=11.03-0.0939
LCL=10.9361
what is 4sqroot 7^3 in exponential form
Answers
Answer:
7^3/4
Step-by-step explanation:
use the formula below to solve your problem
if m<xyz = 58 and m<wxz = 51 find m<wzx
Answers
Answer:
m<wzx = 71
Step-by-step explanation:
Assuming these are interior angles of a triangle.
The sum of all three interior angles of a triangle is always 180 degrees, therefore:
m<xyz + m<wxz + m<wzx = 180
Substitute our values:
58 + 51 + m<wzx = 180
m<wzx = 180 - 58 - 51
m<wzx = 71
Which of the following is NOT a rational expression?
Answers
The expression that is not rational is the first one:
\(f(x) = \frac{6x}{4}\)
Which of the given expressions is not rational?A rational expression is something of the form:
\(f(x) = \frac{q(x)}{p(x)}\)
Such that q(x) can be any polynomial, and p(x) is a polynomial of at least degree 1.
This means that we need to have the variable "x" on the denominator.
Then is easy to recognize the expression that is not rational, is the one that does not have x on the denominator, which is the first one:
\(f(x) = \frac{6x}{4}\)
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Answer: B
Step-by-step explanation:
I took the test and this was the correct answer
The number N(t) of supermarkets throughout the country that are using a computerized checkout system is described by the initial-value problem
dN/dt = N(1 − 0.0008N), N(0) = 1.
Required:
Predict how many supermarkets are expected to adopt the new procedure over a long period of time?
Answers
Answer:
1250 supermarkets
Step-by-step explanation:
Given
\(\frac{dN}{dt} = N(1 - 0.0008N)\)
\(N(0) = 1\)
Required
Number of supermarkets over a long period of time
To do this, we simply set
\(\frac{dN}{dt} = 0\)
So, we have:
\(N(1 - 0.0008N) = 0\)
Split
\(N = 0\ or\ 1 - 0.0008N = 0\)
Solve: \(1 - 0.0008N = 0\)
Collect like terms
\(0.0008N = 1\)
Make N the subject
\(N = \frac{1}{0.0008}\)
\(N = 1250\)
So:
\(\lim_{t \to \infty} N(t) = 1250\)
What is the domain of the function y=3 squared root of x -1 ?
O-o
-1
O 0
1
Answers
\(y=3\sqrt{x-1}\)
The domain is x ≥ 1 as x cannot be less than 1 or else it'll become negative in square root which you cannot find a value.
Solve this equation: -72 + 12 - 2.x = 23 + 13.2
Answers
Answer:
x =-48.1
Step-by-step explanation:
-72 + 12 - 2.x = 23 + 13.2
Combine like terms
-60 -2x = 36.2
Add 60 to each side
-2x -60+60 = 36.2+60
-2x = 96.2
divide by -2
-2x/-2 = 96.2/-2
x =-48.1
Answer:
\( = - 48.1\)
Step-by-step explanation:
\( - 72 + 12 - 2x = 23 + 13.2 \\ - 2x = + 72 - 12 + 23 + 13.2 \\ - 2x = 96.2 \\ \frac{ - 2x}{ - 2} = \frac{96.2}{ - 2} \\ x = - 48.1\)
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£4800 is divided among three brothers
A, B and C. A receives three times as much as B and C receives twice as much as B. If B receives $x, form an equation in x.
Answers
Answer:
A: 2400
B: 600
C: 1800
Step-by-step explanation:
A= x+3x=4x
C = x+2x= 3x
4x+x+3x = 4800
8x= 4800
x= 600
share of A= 2400$
share of B= 600$
share of C= 1800$
What is the value of x?
(5x - 5)°
8x
(6x - 5)
Answers
The value of x in the triangle is 10
What is sum of angle in a triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted by triangle ABC.
The sum of the three angles in a triangle is 180°.
Therefore
(5x - 5)° + 8x + (6x - 5) =180
5x-5+8x+6x-5 = 180
collect like terms
5x+8x+6x-5-5 = 180
19x = 180+10
19x = 190
divide both sides by 19
x = 190/19
x= 10
therefore the value of x is 10
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1. Find the volume of the cylinder. Round to the
nearest hundredths.
5 CM
0.75 CM
Answers
Answer:
Rounded to the nearest hundredths, the volume of the cylinder is approximately 58.91 cm^3.
Step-by-step explanation:
To find the volume of a cylinder, you need to know its radius (r) and height (h). In this case, the radius is given as 5 cm and the height is 0.75 cm.
The formula for the volume of a cylinder is:
V = π * r^2 * h
where π is a mathematical constant approximately equal to 3.14159.
Let's substitute the given values into the formula:
V = π * (5 cm)^2 * 0.75 cm
V ≈ 3.14159 * (25 cm^2) * 0.75 cm
V ≈ 58.909 cm^3
I need some help with this question. "A scale drawing of a school bus has a scale of an inch to 5 feet. If the length of the school bus is in inches on the scale drawing, what is the actual length of the bus?"
Answers
Answer:
45 Feet
Step-by-step explanation:
4.5 divided by 0.5=9
9 times 5=45
Hoped this helped!
The principal at Orchard Ridge High School signs each graduate's diploma by hand. It takes him 30 seconds to sign 4 diplomas. What do I put in the table
Answers
The complete values of the table for time taken to sign the diploma are: Seconds | 30 | 90 | 150 | 210; Diplomas | 4 | 12 | 20 | 28.
What is proportion?Two ratios are said to be equal when a proportion is stated. Ratios, which can be written as a fraction or a colon, are used to compare two objects or values. For instance, a class might have a boy to girl ratio of 2:3 or 2/3. A percentage is an equation proving the equality of two ratios. The formula is a/b = c/d, where a, b, c, and d are all numerical values or variables. Numerous branches of mathematics, science, and daily life, including banking, engineering, and cookery, require proportions.
Given that, it takes the principal 30 seconds to sign 4 diplomas.
Setting the proportion we have:
30 seconds / 4 diplomas = x seconds / y diplomas
x = 7.5y
Substituting the values of x and y from the table we have:
For y = 12
x = 7.5(2) = 90
Similarly, for y = 20:
x = 7.5(20) = 150
For x = 210:
210 = 7.5y
y = 28
The complete values of the table for time taken to sign the diploma are: Seconds | 30 | 90 | 150 | 210; Diplomas | 4 | 12 | 20 | 28.
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The complete question is:
given the function f ( x ) = 4 x 2 + 7 x − 5 . Calculate the following values:
Answers
Answer:
x = 8 + 7x -5
x= 3+7x
x-7x=3
-6x =3
x= 3/-6
x= -1/2
Identify the vertex, focus, and directrix of the graph. Which of the following equations represents the parabola in the graph?
need help with this, i’ll mark you brainliest!!
Answers
Answer:
Equation: \((x-2)^2=16(y-2)\)
Vertex: \((2,2)\)
Directrix: \(y=-2\)
Focus: \((2,6)\)
Step-by-step explanation:
Standard Form of Vertical Parabola:
Equation -> \((x-h)^2=4p(y-k)\) where \(p\neq 0\)Vertex -> \((h,k)\)Directrix -> \(y=k-p\)Focus -> \((h,k+p)\)We know that our vertex is \((h,k)\) -> \((2,2)\), therefore, we can determine the value of \(p\) by selecting a point from the parabola as \((x,y)\):
\((x-h)^2=4p(y-k)\)
\((x-2)^2=4p(y-2)\)
\((6-2)^2=4p(3-2)\)
\((4)^2=4p(1)\)
\(16=4p\)
\(4=p\)
Therefore:
Directrix -> \(y=k-p\) -> \(y=2-4\) -> \(y=-2\)Focus -> \((h,k+p)\) -> \((2,2+4)\) -> \((2,6)\)Conclusion:
Equation -> \((x-2)^2=16(y-2)\)Vertex -> \((2,2)\)Directrix -> \(y=-2\)Focus -> \((2,6)\)Review the graph for a visual
Will mark brainliest if CORRECT
Answers
Find the smallest value of k if 360k is a perfect square
Answers
Answer:
k = 1
Step-by-step explanation:
since 360 = 60² , a perfect square , then
360 × 1 ← is a perfect square
that is 360k with k = 1 is a perfect square