1) The speed of a horsefly in feet per second is; 0.63 beats per minute
2) The number of times that the dragonfly's wing beats per minute is; 3 ft/s
3) The number of times that a bumble bee travels in one minute is; 0.11 miles per minute
How to carry out dimensional Analysis?Dimensional analysis is defined as the study of the relationship that exists between physical quantities with the help of dimensions and units of measurement.
Dimensional Analysis is also defined as a method of problem solving that takes into consideration the identity property of multiplication whereby the product of a number and 1 will always give the same number, that is 1 × n = n whereby the value "n" remains the same after the multiplication.
1) We are given from the table that the speed of a horsefly in miles per hour = 4.4 miles per hour. We want to know the speed expressed in feet per second.
From conversions, we know that;
1 mile per hour = 1/1.467 ft/s
Thus; 4.4 miles per hour = 4.4 * 1/1.467 = 3 ft/s
2) We are given from the table that the dragonfly's wing beat per second = 38 beats per second. We want to know the dragonfly's in wing beat per minute
From conversions, we know that;
1 beat per second = 1/60 beat per minute
Thus; 38 beats per second = 38 * 1/60 = 0.63 beats per minute
3) We are given from the table that the speed of a bumble bee in miles per hour = 6.4 miles per hour. We want to know the speed expressed in miles per minute
From conversions, we know that;
1 mile per hour = 1/60 miles per minute
Thus;
6.4 miles per hour = 6.4 * 1/60 = 0.11 miles per minute
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a climber starts descending from 504 feet above sea level and keeps going until she gets to 40 feet below sea level, how may feet did she descend?
Answer:
544 feet.
Step-by-step explanation:
|504| +|-40|=544
plz help I don't have a lot of time left
Answer:
the 2nd colonie of bacteria grows faster
Step-by-step explanation:
Answer:
a. Bacteria B grows at a faster rate because it has a higher number than Bacteria A. By solving the problem of both Bacteria A and Bacteria B, you would see why Bacteria B grows at a faster rate.
b. Bacteria B grows faster by 35000
Step-by-step explanation:
Which equation represents a nonlinear function?
1 point
x(y-5) = 2
y -2(x+9)=0
3y + 6 ( 2-x) = 5
2(y + X) = 0
The equation that represents a nonlinear equation from the given option is 2(y + x) = 0
What is a nonlinear equation?A nonlinear equation is one where the highest degree of a variable is two or more than two.
It can be in any other form of the equation but does not form an equation of y = ax + b. It also produces a curve slope since every two points on the graph are not the same.
From the information given:
x(y-5) = 2
xy - 5y = 2
-5y = - xy + 2
5y = xy - 2
y = (xy - 2)/5
y -2(x+9)=0
y - 2x - 18 = 0
y = 2x + 18
3y + 6 ( 2-x) = 5
3y +12 - 6x = 15
3y - 6x = 15 - 12
3y -6x = 3
3y = 6x + 3
2(y + x) = 0
2y + x = 0
2y = -x
y = -1/2x
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difference between linear and projectile motion. Which component will usually remain at a constant velocity? Why?
The difference between the linear and projectile motion is that "Linear-motion" refers to motion of object in a "straight-line", while "projectile-motion" refers to motion of an object that is thrown into air, in a curved path.
In linear motion, the object moves along a straight line, with its velocity and acceleration aligned in the same direction. The object's speed and direction may change, but its motion remains linear.
In projectile motion, the object moves along a curved path under the influence of gravity. The object is launched into the air with an initial velocity, and then gravity causes it to follow a parabolic path until it lands back on the ground. The motion of the object is influenced by both its initial velocity and the force of gravity.
In both linear and projectile motion, the "horizontal-component" of velocity will usually remain constant because there is no external force acting on the object in horizontal direction, and thus no acceleration.
Therefore, the object will continue to move at a constant velocity in the horizontal direction, as long as there is no external force acting on it.
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7. A line is parallel to the x-axis and passes through the point (-3, 6). Which of the following statements are true? beco disc I. The slope of the line is zero. II. The equation of the line is x = -3 III. The line is horizontal. a. I only b. II & II c. I & III d. All of the statements are true.
Answer:
The answer is C. I & III
Step-by-step explanation:
The slope of the line is zero and the line is horizontal.
It is found that the slope of the line is zero and the line is horizontal. The answer is C. I & III
How are parallel straight lines related?Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.
Since the given parallel line has the equation; y = 2x + 2, its slope is 2 and thus, the slope of the needed line is 2.
Given that line is parallel to the x-axis and passes through the point (-3, 6).
The equation of the line would be 6 = -3m + c
We can conclude that the slope of the line is zero and the line is horizontal.
The answer is option C. I & III
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Does anyone know what today is?
rp below DON'T report(it's my b-day)
Answer:
Tuesday February the 2nd and the third day of the week
Answer:
sure
Step-by-step explanation:
also happy B-Day :)
Use point-slope form to write an equation of the given line. Solve the equation for y.
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Given f(x)= x3 and g(x) = 2x + 7, express
(fºg)(x)'as a function of x.
Answer:
(f∘g)(x)=(2x+7)^3
Step-by-step explanation:
substitute g(x) in f(x)
(f∘g)(x)=f(g(x))=f(2x+7)=(2x+7)^3=(2x+7)^3
let f (n) be the function from the set of integers to the set of integers such that f (n) = n2 1. what are the domain, codomain, and range of this function
The domain and codomain of the function f(n) = n^2 + 1 are both the set of integers. The range of the function is all positive integers (including zero).
To find the domain, codomain, and range of the function f(n) = n^2 + 1:
1. Domain: The domain is the set of all possible input values for the function. In this case, since the function is defined for "the set of integers," the domain is the set of all integers.
2. Codomain: The codomain is the set of all possible output values for the function. In this case, the function is defined as f(n) = n^2 + 1, where n is an integer. Therefore, the codomain is also the set of integers.
3. Range: The range is the set of all actual output values that the function produces for the given inputs. To find the range, we can substitute various integer values for n and observe the corresponding outputs. Since the function is defined as f(n) = n^2 + 1, the smallest possible output value is 1 (when n = 0), and there is no upper limit for the output. Hence, the range is all positive integers (including zero).
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Travis tossed a coin off a bridge into the stream below. The path of the coin can be modeled by the equation where t is the time in seconds and h is the height in feet. How long will it take the coin to reach the stream?
The coin will reach the stream in 5.61 seconds.
How to determine how long it will take the coin to reach the stream?
Since the height of the coin, after t seconds, is given by the equation:
h = -16t² + 72t + 100
The stream is the ground level. Thus, the coin reaches the stream when h(t) = 0.
So we can equate the equation to zero and solve for t:
-16t² + 72t + 100 = 0
Using the quadratic formula:
t = −b ± √(b² − 4ac) 2a
where a = -16, b = 72 and c = 100
t = −72 ± [√(72² − 4(-16)(100))] /2(-16)
t = −72 ± [√11584]/(-32)
t = (-72 ± 107.63)/(-32)
t = (-72 + 107.63)/(-32) or (-72 - 107.63)/(-32)
t = -1.11 or 5.61
Since t cannot be negative. Thus, t = 5.61 seconds
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Complete Question
Travis tossed a coin off a bridge into the stream below. The path of the coin can be represented by the equation h = -16t² + 72t + 100. How long will it take the coin to reach the stream?
Solve the system: x + 3y - 2z = 1 2x + y + 3z = 20 2x - 2y + z = 6 Write the values for x, y, and z as a three-digit number without spacing for your answer.
The values for x, y, and z are 95, -9, and -21, respectively, resulting in a three-digit number: 95-9-21 = 95921.
To solve the system of equations:
x + 3y - 2z = 1
2x + y + 3z = 20
2x - 2y + z = 6
By the use of the method of Gaussian elimination or matrix algebra. Here, the Gaussian elimination:
1. Multiply equation 1 by 2 and subtract equation 3:
2(x + 3y - 2z) - (2x - 2y + z) = 2 - 6
2x + 6y - 4z - 2x + 2y - z = -4
8y - 5z = -4
2. Multiply equation 1 by 2 and subtract equation 2:
2(x + 3y - 2z) - (2x + y + 3z) = 2 - 20
2x + 6y - 4z - 2x - y - 3z = -18
5y + z = -18
3. Rearrange equation 2:
2x + y + 3z = 20
2x + 2y + 6z = 40
4. Subtract equation 3 from equation 2:
(2x + 2y + 6z) - (5y + z) = 40 - (-18)
2x + y + 5y + 6z - z = 58
2x + 6y + 5z = 58
Now we have a new system of equations:
8y - 5z = -4
5y + z = -18
2x + 6y + 5z = 58
We can solve this system using any method of our choice. In this case, solving the system yields:
x = 95
y = -9
z = -21
Therefore, the values for x, y, and z are 95, -9, and -21, respectively, resulting in a three-digit number: 95-9-21 = 95921.
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A
B В
D
Which theorem would you use to prove ACE" ADBE?
O AA Similarity
SSS Similarity
OSAS Similarity
O ASA Similarity
Answer:
AA similarity (Postulate).
Step-by-step explanation:
The AA Similarity Postulate states that two triangles are similar if all their corresponding angles are congruent, and their corresponding sides are proportional.
In this case:
∡ACE ≅ ∡DBE (Given)
∡BED ≅ ∡AEC (Vertical Angles Theorem)
For Proportionality, you will have to get more information on the measurements of the sides. As side measurements are not given, you cannot use any similarities based on sides to prove the similarities of the triangles.
Write the negation of the following statement: ABC and DEC are
complementary angles.
A)OZABC and ZDEC are not complementary angles.
B)ZABC and ZDEC are supplementary angles.
C)The sum of ABC and ZDEC is 180 degrees.
D)The sum of ABC and ZDEC is 90 degrees.
A salesperson earns 3% commission on the sale of a copy machine. What is his commission on a copy machine that costs $4,950.00?
Answer:
3% = 0.03
Commision = 3% x $4950.00
= 0.03 x 4950.00
= $148.50
Answer:
$148.50
Step-by-step explanation:
Hope it helps :)
Have a good day/night
Brainliest pls?
Describe the error then simplify the expression correctly.
-5(3+6)=-15+30
=15
Answer: 30 should be negative
Step-by-step explanation:
when having an equation like that, you must multiply -5 by 3, which equals to -15, then multiply-5 by 6 which then equals to -30. The correct equation should be -5(3+6)= -15+-30= -45
I think this should be correct, hope this helps!
Answer:
a) The negative was not distributed to the 6
b) -45
Step-by-step explanation:
This simplification uses the distributive property. This is when a factor outside of parentheses is multiplied by the factors within the parentheses. When using this property, if the factor outside the parentheses is negative, then that negative must be distributed to both factors within the parentheses.
The correct way to simplify the expression is as follows:-5(3+6)
Multiply -5*3 and -5*6-15 + -30
Rewrite this using subtraction-15-30
Subtract-45
help me please
A triangle has two sides of length 4 and 7. What is the smallest possible whole-number length for the third side?
Answer:
The smallest possible length for the 3rd side must be 4
Step-by-step explanation:
Any 2 sides combined must be greater than the 3rd side
An angle measures 21.8° less than the measure of its complementary angle. What is the measure of each angle?
The measure of each angle is 34.1° and 55.9°
What are complementary angles?complementary angles are angles that gives 90° when added to together.
if the first angle is x and the other complementary angle is y,
then x+y=90
x= y-21.8
representing y-21.8 for x in equation x+y=90
y+ y-21.8= 90°
2y= 111.8
y= 55.9°
and x= 34.1°
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The line of symmetry is involved in which transformation?TranslationRotationReflectionMigration
Given:
The line symmetry.
Aim:
We need to find the transformation that line symmetry involved.
Explanation:
Recall that line symmetry is the line in the middle acts as a mirror.
the figure flips to make a mirror image of itself in reflection.
Hence the line of symmetry is involved reflection transformation.
Final answer:
The line of symmetry is involved in reflection transformation.
help me please !!! correct answer gets brainliest
Answer: 1/10 is literally only one out of 10. the fraction to a decimal is 0.1 so, 3 x 0.1 is 0.3 and 3 x 10 is 30.
0.3 is less than 30.
Step-by-step explanation:
What is the value of f ( − 2a ), if f ( x ) = 3x 2 + 2x
Answer: \(12a^2-4a\)
Step-by-step explanation:
\(f(-2a)=3(-2a)^2+2(-2a)=3(4a^2)-4a=12a^2-4a\)
The temperature is 92. The temperature decreases for 5 hours. Each hour, the temperature decreases by 2. Then the temperature rises 14 in one hour. What is the temperature after 6 hours?
how to find p value from t statistic on ti-84
Therefore, The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed value, assuming the null hypothesis is true. If the p-value is less than the significance level, reject the null hypothesis; otherwise, fail to reject it.
To find the p-value from the t statistic on TI-84, you will need to perform a hypothesis test. Here are the steps:1. Enter your data into the calculator and choose the appropriate test.2. Calculate the t statistic by dividing the sample mean by the standard error.3. Determine the degrees of freedom. This is n-1 for a one-sample t-test or n1+n2-2 for a two-sample t-test. 4. Use the t-distribution table to find the critical value for your test.5. Calculate the p-value using the t-distribution function on the calculator.6. Compare the p-value to the significance level (usually 0.05) to determine whether to reject or fail to reject the null hypothesis.7.
Therefore, The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed value, assuming the null hypothesis is true. If the p-value is less than the significance level, reject the null hypothesis; otherwise, fail to reject it.
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The hypotenuse of a right triangle is 5 m long. The shorter leg is 1 m shorter than the longer leg. Find the side lengths of the triangle.mLength of the shorter leg: -Length of the longer leg: 0Length of the hypotenuse: 0m
To answer this question we will use the Pythagorean theorem.
Let l be the length (in meters) of the longer leg, then the length of the shorter (in meters) leg will be l-1.
Using the Pythagorean theorem we get:
\(l^2+(l-1)^2=5^2.\)Simplifying the above result we get:
\(l^2+l^2-2l+1=25.\)Adding like terms we get:
\(2l^2-2l+1=25.\)Subtracting 25 from the above equation we get:
\(\begin{gathered} 2l^2-2l+1-25=25-25, \\ 2l^2-2l-24=0. \end{gathered}\)Dividing the above equation by 2 we get:
\(\begin{gathered} \frac{2l^2-2l-24}{2}=\frac{0}{2}, \\ l^2-l-12=0. \end{gathered}\)Now, notice that:
\(\begin{gathered} -1=3-4, \\ -12=3*(-4). \end{gathered}\)Then:
\(l^2-l-12=(l+3)(l-4).\)Therefore:
\(l^2-l-12=0\text{ if and only if }l=4\text{ or l=-3.}\)Since l is the length of a leg of a right triangle, then l>0, therefore l=4.
Answer:
Length of the shorter leg: 4m.
Length of the longer leg: 3m.
Length of the hypotenuse: 5m.
when the sample size is small, the main assumptions of parametric tests may be violated. State True or False
True. Parametric tests are a category of statistical tests that can only be applied to data that meets certain criteria.
They make use of normal distribution assumptions when analyzing data, which means that a significant proportion of the data must follow a normal distribution for the test to produce valid outcomes
.A sample is a subset of the population that is being examined. The size of the sample has an impact on the accuracy of the study. If the sample size is insufficient, it may not be representative of the entire population. In small sample sizes, the main assumptions of parametric tests may be violated, and the results of the test may be skewed.
A sample is a group of individuals or objects from a population that are chosen for a study. The size of the sample is critical since it has a direct impact on the statistical accuracy of the data. A small sample size can cause the primary assumptions of parametric tests to be broken.
Parametric tests are a type of statistical test that can only be used with specific kinds of data. When parametric tests are used to evaluate data, it is assumed that the data follows a normal distribution. In general, this means that the data should be symmetric around the mean, with the majority of the data values being near the mean and fewer outliers. However, when the sample size is small, the accuracy of these assumptions may be in doubt.
As a result, it's crucial to ensure that you choose the proper statistical test based on the size of your sample and the distribution of your data.
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write an equation of the line that passes through (-4,1) and is perpendicular to the line y= -1/2x + 3
The equation of the line that passes through (-4,1) and is perpendicular to the line y= -1/2x + 3.
We are given that;
Point= (-4,1)
Equation y= -1/2x + 3
Now,
To find the y-intercept, we can use the point-slope form of a line: y - y1 = m(x - x1), where m is the slope and (x1,y1) is a point on the line. Substituting the values we have, we get:
y - 1 = 2(x - (-4))
Simplifying and rearranging, we get:
y = 2x + 9
Therefore, by the given slope the answer will be y= -1/2x + 3.
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If a pet grooming salon hires an additional groomer, that worker can groom 4 additional pets per day. the average grooming fee is $25. the most the salon would be willing to pay that groomer is
The most the salon would be willing to pay that groomer is $25×4 = $100.
What is unitary method?The unitary method is a technique that determines the worth of a single unit from value of multiple units, as well as the quality of multiple units from value of a single unit.
Some key features regarding the unitary method are-
It's a method which we use for the majority of math calculations. This method will come in handy when answering questions about ratio & proportion, algebra, geometry, and other subjects.We can determine the missing value using the unitary method. For example, if one carton of juice pays $5, how much would five such packets cost? We can then easily determine the price of 5 packets, which is $25.To know more about the unitary method, here
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a. 32
b. 44
c. 22
d. 8
Answer:
sorry I don't know
Step-by-step explanation:
.........
Indicate below weather the equation in the box is true or false
Answer:
False
Step-by-step explanation:
4/8 equals to 1/2 but 6/10 equals to 3/5. Correct would be if it was 5/10
lena bought a saltwater fish tank that holds 400 gallons of water. she started filling the tank on friday, but then stopped after putting only 70 gallons of water in the tank. on saturday, she bought a bigger hose and began filling the tank again. it took her 1 hour and 50 minutes on saturday to completely fill the tank. which equation represents the number of gallons of water in the fish tank on saturday, given the amount of time in minutes that lena spent filling the tank?
The m and b into slope-intercept form results in the equation y = 3x + 70
You need the y-intercept and the rate of change in order to write the equation of a line (slope). You can create your equation by substituting these values into the slope-intercept form of a line (y = mx + b).
You already know b because there are initially 70 gallons of water in the tank on Saturday. You must write two data points using the information provided in the question in order to determine m.
The number of gallons is the dependent variable, and time is the independent variable because the amount of water in the tank is dependent on how long Lena has been filling it. This indicates that the information should be presented in the form (time, gallons).
On Saturday at time = 0, there are 70 gallons, hence the data point is (0, 70). The tank is full (400 gallons) after 1 hour and 50 minutes, which is 60 + 50 = 110 minutes, so another data point is (110, 400). Using the slope formula, determine the rate of change as follows:
(400-70)/(110-0)
= 330/110
=3 gallons per minute. Substituting m and b into slope-intercept form results in the equation y = 3x + 70
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what is the maximum number of 2/0 awg thw aluminum compact conductors permitted in a 21/2-inch pvc conduit, schedule 80?
To determine the maximum number of 2/0 AWG THW aluminum compact conductors permitted in a 2½-inch PVC conduit, Schedule 80, we need to consult the applicable electrical code or standards.
The number of conductors allowed in a conduit is typically governed by factors such as fill capacity and heat dissipation.
The specific requirements may vary depending on the jurisdiction and the electrical code being followed. It is recommended to consult the local electrical code or a qualified electrician to ensure compliance with the regulations in your area.
They will be able to provide the precise guidelines and restrictions for conductor fill capacity based on the conduit size, type, and the specific application.
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