Answer:
From November to March, the temperature in Alaska is between 0°F/-18°C and -30°F/-35°C, which is very cold. May and September are both often the driest and the wettest months in Alaska's summer.
I hope this helps you
:)
In this part the area \( A \), of the plate is kept constant \( A=370 \times 10^{-6} \mathrm{~m}^{2} \) and the distance \( d \) between the plates is changed. You are to record the values for distanc
In this part of the experiment, the area \(A\) of the plate is kept constant at \(A=370 \times 10^{-6} \mathrm{~m}^{2}\) and the distance \(d\) between the plates is changed.
The aim is to record the values for distance, voltage, and capacitance using an appropriate measuring instrument.The distance between the plates is directly proportional to the capacitance. The capacitance can be defined as the ability of a body to hold an electric charge. It is measured in farads and denoted by the letter F. The greater the distance between the plates, the lesser the capacitance and vice versa. Thus, when the distance between the plates is increased, the capacitance decreases.
The relationship between the capacitance, the distance between the plates, and the area of the plates can be given by the formula:C=εA/dwhere:C is the capacitanceA is the area of the platesd is the distance between the platesε is the permittivity of the medium between the plates.As stated earlier, the area of the plates is kept constant at \(A=370 \times 10^{-6} \mathrm{~m}^{2}\). Thus, the capacitance, \(C\), is inversely proportional to the distance, \(d\). The voltage across the plates can also be measured using a voltmeter. The experiment can be repeated with different values of distance, and the corresponding values of capacitance and voltage can be recorded.
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A)
At the amusement park, you decide to ride the Ferris wheel, which has a maximum height of 50 meters and a diameter of 35 meters. It takes the wheel 11 minutes to make one revolution. Write the sinusoidal function, f(t), that models the height of your chair at any time, t.
b)Your fishing bobber oscillates up and down from the current in the river in a harmonic motion. The bobber moves a total of 2. 5 inches from its high point to its low point then returns up to the high point every 3 seconds. Write an equation modeling the motion of the bobber at its high point at time t = 0.
b) \(\frac{5}{6} cos (\frac{2pi}{3} t)\) is the equation modeling the motion of the bobber at its high point at time t = 0.
What is sinusoidal function?A mathematical curve defined in terms of the sine trigonometric function, of which it is the graph, is known as a sine wave, sinusoidal wave, or simply sinusoidal. It is a smooth periodic function and a particular kind of continuous wave. It frequently happens in physics, engineering, signal processing, and many other disciplines in addition to mathematics.In general, the function may also have:a spatial variable x that represents the position on the dimension on which the wave propagates, and a characteristic parameter k called wave number (or angular wave number), which represents the proportionality between the angular frequency ω and the linear speed (speed of propagation) ν;a non-zero center amplitude, DTo learn more about sinusoidal function, refer to
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Consider a simultaneous equation model Y=a 0
+a 1
X+a 2
Z+u 1
X=b 0
+b 1
Y+b 2
Z+b 3
W+u 2
where Z and W are exogenous variables. Then: a. the first equation is identified when b 2
=0 or b 3
=0. b. the second equation is identified provided that a 2
=0. c. the first equation is identified provided that b 3
=0. d. when b 2
=0, the two equations are both identified.
c. the first equation is identified provided that b₃ ≠ 0. In a simultaneous equation model, identification refers to the ability to estimate the parameters of the equations uniquely.
For identification of the first equation, we need the coefficients of the exogenous variables (Z and W) in the second equation (b₂ and b₃) to be nonzero. This is because if either b₂ or b₃ were zero, the second equation would no longer depend on Z or W, making it impossible to determine the effect of Z on Y in the first equation.
Therefore, when b₃ ≠ 0, the first equation becomes identified, allowing for the estimation of its parameters. Option (c) correctly states that the first equation is identified provided that b₃ ≠ 0.
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2. Let h(x) =-3x - 4. What is the value of h at x = -3 and at x = 1?
A h(-3) = 5, h(1) = 7
h(-3) = 13, h(1) =
Oh(-3) = 5, h(1) = −7
Oh(-3) = 13, h(1) = 7
AZO
B The range is y ≤ 4.
061
3. Consider the graph of the function f. Select all the true statements.
The domain is all real numbers.
The x-intercepts are -5 and -1.
The function is negative when x < -5, positive when -5 < x < -1,
vitammiya to
and negative when x > -1.
The function is decreasing when x < -3 and increasing when x > -3.
y → ∞ as x→and y→→∞as x → +∞o.
f(x) = -x² - 6x - 5
4
-6
-4
Ay
-2
2
X
The value of h at x = -3 is h(-3) = 5, and the value of h at x = 1 is h(1) = -7.
For the given questions:
The value of h at x = -3 is h(-3) = 5, and the value of h at x = 1 is h(1) = -7.
The true statements about the graph of the function f are:
The domain is all real numbers.
The x-intercepts are -5 and -1.
The function is negative when x < -5, positive when -5 < x < -1, and negative when x > -1.
The function is decreasing when x < -3 and increasing when x > -3.
y → -∞ as x → -∞ and y → -∞ as x → +∞.
The given function is h(x) = -3x - 4. To find the value of h at a specific x-coordinate, we substitute that value into the function. So, for x = -3, we have h(-3) = -3(-3) - 4 = 9 - 4 = 5. Similarly, for x = 1, we have h(1) = -3(1) - 4 = -3 - 4 = -7. Therefore, the correct answer is A: h(-3) = 5 and h(1) = -7.
The given function is not provided, so we cannot directly assess the statements about its graph. It seems there might be a mistake or missing information in the question.
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Determine whether each scatter plot represents a linear relationship, a non-linear relationship, or
no relationship
How much longer is a 1in button then a 3/4in button
Answer:
1/4
Step-by-step explanation:
4/4-3/4=1/4
I need help please!!!
Answer:
it's yes
Step-by-step explanation:
It appears as though the moon disappears and the sun comes out in the daytime. Based on what you know, explain why this is happening in the daytime. (2 points)
a
Earth is rotating toward the sun.
b
Earth is rotating away from the sun.
c
The moon is rotating away from the sun.
d
The moon is rotating toward the sun.
The moon disappearing and the sun coming out in the daytime is not related to the moon's rotation but rather to the Earth's rotation away from the sun
The correct answer is option b: Earth is rotating away from the sun.
During the daytime, when the sun is visible in the sky, it means that the Earth is in a position where the sunlight is reaching its surface. Daytime occurs when the hemisphere of the Earth that we are on is facing toward the sun. This is because the Earth rotates on its axis, causing different parts of the planet to face the sun at different times.
The moon's visibility during the daytime is unrelated to the sun's presence in the sky. The moon's visibility depends on its position in its orbit around the Earth and its relative position to the sun. The moon orbits the Earth, and its position and phase change throughout the month, causing it to sometimes be visible during the day and other times visible during the night.
Therefore, the moon disappearing and the sun coming out in the daytime is not related to the moon's rotation but rather to the Earth's rotation away from the sun, allowing sunlight to reach the Earth's surface during daylight hours.
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For the following set of data, find the percentage of data within 2 population standard deviations of the mean, to the nearest percent
chart is in the photo
Percentage of data within 2 population standard deviations of the mean is 68%.
To calculate the percentage of data within two population standard deviations of the mean, we need to first find the mean and standard deviation of the data set.
The mean can be found by summing all the values and dividing by the total number of values:
Mean = (20*2 + 22*8 + 28*9 + 34*13 + 38*16 + 39*11 + 41*7 + 48*0)/(2+8+9+13+16+11+7) = 32.68
To calculate standard deviation, we need to calculate the variance first. Variance is the average of the squared differences from the mean.
Variance = [(20-32.68)^2*2 + (22-32.68)^2*8 + (28-32.68)^2*9 + (34-32.68)^2*13 + (38-32.68)^2*16 + (39-32.68)^2*11 + (41-32.68)^2*7]/(2+8+9+13+16+11+7-1) = 139.98
Standard Deviation = sqrt(139.98) = 11.83
Now we can calculate the range within two population standard deviations of the mean. Two population standard deviations of the mean can be found by multiplying the standard deviation by 2.
Range = 2*11.83 = 23.66
The minimum value within two population standard deviations of the mean can be found by subtracting the range from the mean and the maximum value can be found by adding the range to the mean:
Minimum Value = 32.68 - 23.66 = 9.02 Maximum Value = 32.68 + 23.66 = 56.34
Now we can count the number of data points within this range, which are 45 out of 66 data points. To find the percentage, we divide 45 by 66 and multiply by 100:
Percentage of data within 2 population standard deviations of the mean = (45/66)*100 = 68% (rounded to the nearest percent).
Therefore, approximately 68% of the data falls within two population standard deviations of the mean.
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pls answer this pls answer this pls answer this pls answer this pls answer this pls answer
Answer:
yeah it easy
Step-by-step explanation:
Two number whose product is -168 and sum is -13
Answer:
-21 and 8
Step-by-step explanation:
-21 × 8 = -168 and -21 + 8 = -13
Hope this helps!
A bird flies from the bottom of a canyon that is 52
3
5 feet below sea level to a nest that is 789
3
10 feet above sea level. What is the difference in elevation between the bottom of the canyon and the bird's nest?
The difference in the elevation between the canyon and the bird's nest is 737. 3 feet
How to determine the value
From the information given, we have that;
The distance below the sea level = 52 3/ 5 feet , this would take a negative valueThe distance above sea level = 789 3/ 10, this would take a positive valueLet's convert the mixed fractions to improper fraction;
= - 263/ 5 = - 52. 6 feet
789 3/ 10 = 7893/ 10 = 789. 3 feet
The difference in the elevation between the canyon and the bird's nest ;
= -52. 6 + 789. 9
= 737. 3 feet
Thus, the difference in the elevation between the canyon and the bird's nest is 737. 3 feet
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A car sales associate receives a monthly salary of $1,700 a month plus $140 for every car he sells. How many cars must he sell to earn at least $4,500?
Answer:
20 cars
Step-by-step explanation:
He wants 4500
He makes 1700 salary
4500-1700=2800
Now you need to divide the remaining 2800 needed by the 140 he gets per car he sells
2800÷140=20
So he needs to sell 20 cars
Rick deposited $1500 in a savings account that earns 6% interest for 4 years. How much money is in his account at the end of the 4 years?
Answer:
$5820
Step-by-step explanation:
1500*6%=90 per month
90*(48months=4yrs)=4320
1500+4320=5820
1.
Find the slope of the line.
A. \(-\frac{2}{3}\)
B. \(\frac{3}{2}\)
C. \(-\frac{3}{2}\)
D. \(\frac{2}{3}\)
Answer:
The answer would be B (3/2)
Step-by-step explanation:
Answer:
B . 3/2
Step-by-step explanation:
lets take two random points ( it doesn't have to be a specific one but it just has to be on the line.)
(-2,-2) and (0,1)
we have to find the change in our y coordinates divided by our change in the x coordinates.
so.....
-2 - 1 / -2 - 0
that eqauls to
-3 / -2 = 3 / 2
Grandfather and his grandson started drinking tea and asked the grandson to bring some candy out of the box. The box contained 2 candies with nuts, 4 candies with caramel, 3 candies with marzipan and 1 candy with licorice. As the grandson was still small and the box was high on the shelf, he did not see what kind of candy he was taking. Find the probability that 1) 4 candies taken from the box blindly have different tastes; 2) 2 candies have the same taste; 3) 6 candies include 2 candies with marzipan, 2 candies with nuts and 2 candies with caramel.
a) Write down all the events that are asked to be probable using the symbols provided.
b) Find all probabilities asked by the number of combinations. For each calculation, present a calculation formula and then calculate
asked probability. (Please provide details on conversions and calculations.)
a) Let A denote the event that 4 candies taken have different tastes, B denote the event that 2 candies have the same taste, and C denote the event that 6 candies include 2 candies with marzipan, 2 candies with nuts and 2 candies with caramel.
b) The probability of event A is 1/210
The probability of event B is 5/126
The probability of event C is 3/70
To find the probability of event A, we need to count the number of ways to choose 4 candies out of 10, where each candy has a different taste. Thus, the probability of event A is given by:
P(A) = (2/10) * (4/9) * (3/8) * (1/7) = 1/210To find the probability of event B, we need to count the number of ways to choose 2 candies of the same taste and 2 candies of different tastes out of 10. There are 4 choices for the taste of the 2 candies that are the same, and 6 choices for the taste of the other 2 candies. Thus, the probability of event B is given by:
P(B) = (4/10) * (6/9) * (5/8) * (3/7) = 5/126To find the probability of event C, we need to count the number of ways to choose 2 candies with marzipan, 2 candies with nuts, and 2 candies with caramel out of 10. There are (3 choose 2) = 3 ways to choose 2 candies with marzipan, (2 choose 2) = 1 way to choose 2 candies with nuts, and (4 choose 2) = 6 ways to choose 2 candies with caramel. Thus, the probability of event C is given by:
P(C) = (316) / (10 choose 6) = 9/210 = 3/70Learn more about probability
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What is 2 1/2 divided by 2 1/6
Answer:
15 /13 = 1 2 /13
Hope that helps
find the distance between the two points (2,-1) and (2,5)
Answer:
the answer would be 6
Step-by-step explanation:
the way i got my answer is by adding on to the negative on the 2,-1 then i add 5 to the over all to get 1 plus 5 and get 6.
The distance between the two points (2,-1) and (2,5) is 6 units.
What is the distance between two pints?The distance between two points \((x_1,y_1),(x_2,y_2)\) is,
\(d=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2} }\)
For given example,
Let \((x_1,y_1)=(2,-1),(x_2,y_2)=(2,5)\)
Let 'd' be the distance between two points (2,-1) and (2,5).
Using distance formula,
⇒ \(d=\sqrt{(2-2)^{2}+(5-(-1))^{2} }\)
⇒ \(d=\sqrt{(0)+(5+1)^{2} }\)
⇒ \(d=\sqrt{6^{2} }\)
⇒ \(d=6\) units.
Therefore, the distance between two points (2,-1) and (2,5) is 6 units.
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The formula F(C) = 9 5 C + 32 calculates the temperature in degrees Fahrenheit, given a temperature in degrees Celsius.
Answer:
True
Step-by-step explanation:
Assuming this is a true or false question, the given formula is used to convert temperatures that are in degrees Celsius to degrees Fahrenheit.
\(F(C)=\frac{9}{5} C+32\)
can you apply the properties of rational exponents to an example?
We can simplify \((16x^4)^(-1/2) to 1/(4x^2)\) using the properties of rational exponents.
Certainly! Here's an example:
Simplify the expression: \((16x^4)^(-1/2)\)
We can apply the property of rational exponents which states that \((a^m)^n = a^(m*n)\). Using this property, we get:
\((16x^4)^(-1/2) = 16^(-1/2) * (x^4)^(-1/2)\)
Next, we can simplify \(16^(-1/2)\) using the rule that \(a^(-n) = 1/a^n\):
\(16^(-1/2) = 1/16^(1/2) = 1/4\)
Similarly, we can simplify \((x^4)^(-1/2)\) using the rule that \((a^m)^n = a^(m*n)\):
\((x^4)^(-1/2) = x^(4*(-1/2)) = x^(-2)\)
Substituting these simplifications back into the original expression, we get:
\((16x^4)^(-1/2) = 1/4 * x^(-2) = 1/(4x^2)\)
Therefore, the simplified expression is \(1/(4x^2).\)
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a wireless carrier offers the following plans that a person is considering. the family plan: $100 monthly fee, unlimited talk and text on up to 5 lines, and data charges of $35 for each device for up to 2 gb of data per device. the mobile share plan: $140 monthly fee for up to 10 devices, unlimited talk and text for all the lines, and data charges of $15 for each device up to a shared total of 10 gb of data. find the model of the total cost of the family plan in dollars. use p for the number of devices that need data plans as part of their cost.
The model of the total cost of the family plan in dollars for p devices is given by, C(p) = 100 + 35 p, where C(p) is the total cost.
Family plan offers $ 100 fixed monthly fee and unlimited talk and text on up to 5 lines and data charges of $ 35 for each device for up to 2 gb of data per device.
Mobile share plan offers $140 monthly fee for up to 10 devices, unlimited talk and text for all the lines, and data charges of $15 for each device up to a shared total of 10 gb of data.
Here number of devices which need data plans as part of their cost is ' p '.
So the model which depicts the total cost of family plan is given by,
C(p) = 100 + 35 p, where C(p) is the total cost.
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Evaluate 6a-b^2/2 + (b/a)^2 if a = 2 and b = 4.
2
6
10.25
36
\( \frac{6a - {b}^{2} }{2} + \binom{b}{a} ^{2} \)
a=2 b=4
\( \frac{6(2) - {4}^{2} }{2} + \binom{4}{2}^{2} \)
\( \frac{12 - 16}{2} + \frac{16}{4} \)
\( \frac{ - 4}{2} + 4 \)
\( - 2 + 4 = 2\)
answer is option a 2
please mark this answer as brainlist
Please help! Thank you :) Will give brainlist
Evaluate the function.
f(x) = 3x² + 2
Find f(-7)
149 because
3(-7)^2+2 =149
Find an equation for the nth term of the sequence.
-3, -12, -48, -192, ...
Answer:
an = 196,608 nth term
Hope it's helped
Answer:
an = -3 • 4^(n - 1)
Step-by-step explanation:
Find an expression which represents the sum of (6x – 4) and (-2x + 5) in simplest terms.
Answer:
4x+1
Step-by-step explanation:
6x-4-2x+5
4x-4+5
4x+1
In the equation x^2 + 5/4x + c, why is 0.390625 the answer?
Answer:
= 56°Find the measure of angle a.
Step-by-step explanation:
in the parallelogram pqrs shown below, ps is 7 centimeters long. if the parallelogram's perimeter is - 40 centimeters, how many centimeters long is pq?
13 cm long is PQ in parallelogram .
What does parallelogram mean in a nutshell?
A parallelogram is a geometric shape with parallel sides that exists in two dimensions. The pair of parallel sides in this sort of polygon with four sides, also known as a quadrilateral, are of equal length. In a parallelogram, the sum of the adjacent angles is 180 degrees.Perimeter of ∥gm = - 40 cm
2(PQ+ PS) = - 40
2 ( PQ + 7 ) = 40
PQ + 7 = 20
PQ = 20 - 7
PQ = 13 cm
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Which of the following criterion will you use if triangle ABC is congruent to triangle DEF and AB de angle B angle E angle C angle f?
Answer:
ΔABC ≅ ΔDEF by AAS.
Step-by-step explanation:
⭐What are the congruence criterion?
SAS (Side-Angle-Side): The corresponding sides of 2 triangles are congruent, and their included, corresponding angle is congruent.AAS (Angle-Angle-Side): The corresponding angles of 2 triangles are congruent, followed by a corresponding, congruent sideASA (Angle-Side-Angle): The corresponding angles of 2 triangles are congruent, and their included, corresponding side is congruent.SSS (Side-Side-Side): The corresponding sides of 2 triangles are congruent.HL (Hypotenuse-Leg): A corresponding leg in 2 right triangles are congruent, and their hypotenuses are congruent.To find out which congruence criterion we can use for ΔABC and ΔDEF, we need to see which corresponding parts (angles and sides) are congruent.
First, draw the figure (attached to this photo).
You are given that ∠B ≅ ∠E, AB ≅ ED, and ∠C ≅ ∠F.
There are 2 corresponding, congruent angles followed by a corresponding, congruent side.
Thus, ΔABC and ΔDEF are congruent by AAS.
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BRO MY MATH TEACHER IS ON TO ME SOMEONE HELP A family camping in a national forest builds a temporary shelter with a tarp and a 6-foot pole. The bottom of the pole is even with the ground, and one corner is staked 10 feet from the bottom of the pole. What is the slope of the tarp from that corner to the top of the pole?
To find the slope of the tarp, we can use the concept of rise over run, which is the ratio of the vertical change (the rise) to the horizontal change (the run). In this case, the rise is the distance from the corner of the tarp to the top of the pole, and the run is the distance from the corner of the tarp to the bottom of the pole.
We can use the Pythagorean theorem to find the length of the hypotenuse of the right-angled triangle formed by the corner of the tarp, the bottom of the pole and the top of the pole.
The length of the hypotenuse is the distance from the corner of the tarp to the top of the pole and the length of the adjacent side is the distance from the corner of the tarp to the bottom of the pole.
We know that:
adjacent side = 10 ft
Hypotenuse = h
Applying the Pythagorean theorem:
h^2 = 10^2 + 6^2
h = √(10^2 + 6^2)
h = √(100 + 36) = √136 = 11.66 ft
Now we can calculate the slope:
slope = rise/run = (h-10) / 6
slope = (11.66-10) / 6 = 1.66/6 = 0.277
So the slope of the tarp from the corner to the top of the pole is 0.277 or approximately 0.28.