Distance and displacement are the two quantities which are seem to mean the same but are distinctly different. The distance indicates how much an object covered during its motion whereas the displacement indicates how far out of place an object.
Here the total distance and the distance covered by Elliana is given as follows:
A. .15 min = .25 hrs
3 × .25 = .75 minutes
We have to find how long isabella to run 2 miles at 4 miles per hour:
2/4 = .5 hrs
Isabella can walk in .5 hrs at 3mph is:
.5 × 3 = 1.5 minutes
B. Total distance in miles that Elliana can travel is:
.75 + 1.5 = 2.25 minutes
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Which choice is equivalent to the product below? √(6/8)•√(6/18) A. 6/12 B. 1/4 C. 7/12 D 3/4 E. 7/1
Answer:6/12
Step-by-step explanation: ap ex
Answer:
equilanet product to the core of the elements
Step-by-step explanation:
goood aglfternoon!
have a nice day!
given the recent economic downturn, only 60% in a graduating class of 250 will find employment in the first round of a job search. you have 20 friends who have recently graduated. assume that your friends represent a random sample. interpret the sampling distribution of the sample proportion of your friends who will find employment in the first round of a job search.
The sampling distribution of the sample proportion of your friends who will find employment in the first round of a job search will have a mean of 0.60 (60%) and a standard deviation of 0.071 (7.1%).
A sampling distribution is a probability distribution of a statistic obtained from a larger number of samples drawn from the same population.
The following are the characteristics of the sampling distribution:
It is a probability distribution.It is built up of a statistic derived from a random sample.It is for a specific statistic (such as the mean or proportion).It depends on the sample size.The sampling distribution of the sample proportion of your friends who will find employment in the first round of a job search can be interpreted as follows:
Only 60% of the students in a graduating class of 250 will find employment in the first round of a job search. Suppose we take a sample of 20 friends who have recently graduated. Since it is a random sample, it is possible to obtain different values of the sample proportion of your friends who will find employment in the first round of a job search. The distribution of all the possible sample proportions is called the sampling distribution.
The mean of the sampling distribution is equal to the population proportion of 60%. The standard deviation of the sampling distribution can be determined using the formula:
standard deviation = √(p(1-p)/n),
Where p is the population proportion, and n is the sample size.
Standard deviation = √(0.60 x 0.40/20) ⇒ 0.012 (1.2%)
Therefore, the sampling distribution of the sample proportion of your friends who will find employment in the first round of a job search will have a mean of 0.60 (60%) and a standard deviation of 0.012 (1.2%).
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P: (3, 5) has been rotated 180 degrees about the origin. P':
Q: (-5, 7) has been translated 6 units to the right and 2 units up. Q':
R: (-2, -4) has been reflected across the line y=x. R':
Help right away
Which integer is NOT less than -21?
A. -30
B. -100
C -19
D -25
Answer:
Well -19 is less than -21 so it's the other three.
So it's -30, -100 and -25
Identify the transformation from ABC to A'B'C'.
Answer:
B
Step-by-step explanation:
Imagine a mirror on the X axis, looking at the original triangle in the mirror would make the new triangle appear.
Answer:
Reflection across the x-axis
Step-by-step explanation:
The two shapes are just simply being reflected across the x-axis.
Hope this helps!:)
What is the quotient of (x cubed + 3 x squared minus 4 x minus 12) divided by (x squared + 5 x + 6)?
Answer:
x – 2
Step-by-step explanation:
Answer:
B. x-2
Step-by-step explanation:
Domain of g+k:______
X >= 0
X >= -6
All real numbers
Answer:
X >= -6
Step-by-step explanation:
this is the right answer.Which statement best describes the relationship between Stanton’s diction and her purpose?
Stanton uses words with negative connotations to show how society oppresses women.
Stanton uses words with positive connotations to emphasize women’s contributions to society.
Stanton uses words with negative connotations to suggest that women are behaving badly.
Stanton uses words with positive connotations to draw attention to fair and effective lawsAnswer:
its the first option
Step-by-step explanation:
for a second-order homogeneous linear ode, an initial value problem consists of an equation and two initial conditions. True False
The given statement "For a second-order homogeneous linear ordinary differential equation (ODE), an initial value problem (IVP) consists of an equation and two initial conditions" is True because A second-order homogeneous linear ODE is an equation of the form ay''(t) + by'(t) + cy(t) = 0, where y(t) is the dependent variable, t is the independent variable, and a, b, and c are constants.
The equation is homogeneous because the right-hand side is zero, and it is linear because y(t), y'(t), and y''(t) are not multiplied or divided by each other or their higher powers. An IVP for this type of equation requires two initial conditions because the second-order ODE has two linearly independent solutions.
These initial conditions are typically given in the form y(t0) = y0 and y'(t0) = y1, where t0 is the initial time, and y0 and y1 are the initial values of y(t) and y'(t), respectively.
The two initial conditions are necessary to determine a unique solution to the second-order ODE. Without them, there would be an infinite number of possible solutions. By providing the initial conditions, you establish constraints on the solutions, which allow for a unique solution that satisfies both the ODE and the initial conditions.
In summary, an IVP for a second-order homogeneous linear ODE consists of an equation and two initial conditions, ensuring a unique solution to the problem.
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Distribute and simplify these radicals.
Answer:
D) \(6+2\sqrt{6}\)
Step-by-step explanation:
\(2\sqrt{3} *(\sqrt{2} +\sqrt{3} )\\\\6+2\sqrt{6}\)
what is the correlation
Answer: moderate, C, B
Step-by-step explanation:
A) A shows a moderate negative correlation. It is moderate because the scattered points are sort of close to the line so it has moderate/medium correlation. It is also negative because it has a negative slope
B) C shows the strongest correlation because the points around the line are tight and close.
C) B should not have been drawn. The correlation is very weak. You do know where the line should be because the points are all over the place.
Rebecca carries a balance on her credit card each month. Today is the first day of the new. 28-day billing cycle. The current balance is x and the APR is 24%.
Rebecca is buying a friend an expensive gift that costs $1,400 that she plans to put on her credit card. This will be her only purchase this month. Sed she will be
making this purchase on the last day of the month. Part A if her finance charge will be $51 write and solve an equation to determine her current balance on her credit card show your work. Part B How much in finance charges can she save by making the purchase on the last day of the billing cycle
Part A: Rebecca's credit card balance can be calculated using the equation x = (51 - 1) 0.02 if her finance charge is $51.
Part B: By making the purchase on the final day of the billing cycle rather than the first day, Rebecca will be able to avoid paying $27 in finance charges.
How do equations work?
A mathematical statement proving the equality of values between two or more mathematical expressions is called an equation.
Equation symbols (=) are used to represent equations.
A finance charge is what?
The interest and other fees levied on credit cards are included in a finance charge.
Typically, the finance charge is based on a stated APR (annual percentage rate).
The month's billing cycle lasts for 28 days.
Balance at current starting = x.
APR = 24%, or annual percentage rate.
The monthly percentage rate (MPR) equals 2% (24% divided by 12).
The final day's purchase cost $1,400.
$51 is the total finance fee for the month.
($1,400 x 2% x 1/28) = $1 finance fee for the last-minute purchase.
$50 ($51 - $1) serves as the initial balance's finance charge.
The starting balance at this time is x = $2,500 ($50 x 2%).
Current Beginning Balance Equation: x = 51 - 1 0.02
($1,400 x 2%) Equals $28 in total loan charges for the last-minute purchase.
Finance charge savings from buying on the last day equals $27 ($28 - $1).
By buying the $1,400 gift for her friend on the last day of the billing cycle rather than the first, Rebecca can avoid paying $27 in finance charges.
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lloyd's cereal company packages cereal in 1 pound boxes (16 ounces). a sample of 25 boxes is selected at random from the production line every hour, and if the average weight is less than 15 ounces, the machine is adjusted to increase the amount of cereal dispensed. if the mean for 1 hour is 1 pound and the standard deviation is 0.1 pound, what is the probability that the amount dispensed per box will have to be increased?
The probability that the amount dispensed per box will have to be increased is 0.0062.
Consider the provided information.
Sample of 16 boxes is selected at random.
If the mean for 1 hour is 1 pound and the standard deviation is 0.1
1 Pound = 16 ounces , then 0.1 Pound = 16/10 = 1.6 ounces
Thus: μ = 16 ounces and σ = 1.6 ounces.
Compute the test probability
z= x−μ/σ/\(\sqrt{n}\)
z= 15-16/ 1.6/4
z= -1/ 0.4
z= -2.5
By using the table.
Probability p value = P(Z<-2.50) = 0.0062
Thus, the probability that the amount dispensed per box will have to be increased is 0.0062.
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In an survey of 825 farmers ,125 of them were not using any type of fertilizer in their vegetable farming.150 of them were using chemical as well as organic fertilizers.The ratio of the number of only chemical fertilizer users to that of only organic fertilizer users is 5:6 1) fifertilizers.Thend the number of chemical fertilizers users. 2)how many of them were not using organic fertilizer 3)how many of them were using only one type 4) Illustrate the above information in a Venn diagram
Answer:
Step-by-step explanation:
Using the following dilated coordinates of a triangle choose the appropriate scale facto
J: (2,4) -- J' (4.8)
K: (1,1) -- K' (2,2)
L: (4,0) -- L' (8,0)
The scale factor is 2.
A scale factor is defined as the ratio of the scale of a given original object to the scale of a new object that is its representation but of a different size (bigger or smaller).
J: (2,4) -- J' (4.8)
K: (1,1) -- K' (2,2)
L: (4,0) -- L' (8,0)
We need to find the scale factor.
Scale factor:
If a figure is dilated by factor with origin as the center of dilation, then
P(x, y) = P1(kx, ky)
Using this rule, we get
J(2, 4) = P1(2k, 4k)
We have J1(4, 8)
On comparing both sides, we get
2k = 4 or 4k = 8
K = 4/2 or k = 8/4
K = 2 or k = 2
In both cases, the value of the scale factor is k =2.
Therefore the scale of factor is 2
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Is AAA a similar triangle?
yes, AA (or AAA) or Angle-Angle is the similarity rule.
What are similar triangles ?
Two triangles are similar to one another if any two of their respective angles are identical to any two of their respective angles.
According to the AA triangle similarity criterion, two triangles are similar if their three angles are equivalent to one another's three angles. In a nutshell, equi-angular triangles are comparable.
In theory, this criterion should be known as the AAA(Angle-Angle-Angle) criterion, but we prefer to refer to it as the AA criterion instead because it only requires two pairs of angles to be equal; the third pair will subsequently be equal by virtue of the angle sum feature of triangles.
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Patrick walk 9/10 to the gym. How far ha he walked when he ha covered 2/3 of the ditance to the gym
In linear equation, The number of miles that he walked when he was covered and 2/3 of the distance to the gym will be 7/30 miles.
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
Patrick walks 9/10 miles to the gym.
Then the number of miles that he walked when he was covered 2/3 of the distance to the gym will be
⇒ 9 / 10 - 2 / 3
⇒ (27 - 20) / 30
⇒ 7 / 30
The number of miles that he walked when he was covered and 2/3 of the distance to the gym will be 7/30 miles.
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Find the percent change. Round to the nearest tenth of a percent when necessary.
From 33 to 34.
Answer:
3.03%
Step-by-step explanation:
Given the following question:
\(\frac{34-33}{33} \times100=34-33=1\div33=0.0303030303\times100=3.0303030303\)
\(3.0303030303\)
\(0<5\)
\(3.03\)
33 to 34 is a "3.03 percent increase."
Hope this helps.
determinar el espacio muestral de los siguientes experimentos aleatorios.
a)lanzar tres monedas simultáneamente
Answer:
i dont knoe
Step-by-step explanation:
Can you help me with this?
The measure of angle y is 116 ⁰.
What is the measure of angle y?
First we need to find the value of angle DCO and the value of angle DOC.
∠ DCO = 90 - 58⁰ ( angle subtended by diameter of a circle )
∠ DCO = 32⁰
line OC = OD = radius of the circle
∠ DCO = ∠ DOC = 32⁰
Now, the measure of angle y is calculated as follows;
∠ ODC + ∠ DCO + ∠ DOC = 180 ( sum of angles in a triangle )
y + 32 + 32 = 180
y + 64 = 180
y = 180 - 64
y = 116⁰
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Part B: Melissa designed the kite shown and would like to know the minimum amount of fabric needed to cover the kite. Each unit is 1 inch,
48 in
69 in
286 in
572 in?
Answer:
69.4 inches
Step-by-step explanation:
A kite is a quadrilateral (has four sides and four angles) with two pairs of congruent adjacent sides. The diagonals of a kite are perpendicular to each other.
To prove that quadrilateral ADBC is a kite, the diagonals of the kite have to be perpendicular to each other.
AD ⊥ BC.
Since adjacent sides are equal to each other, hence:
BC = BD, AC = AD
The coordinate of the vertices are A(11, 0), B(11, 26), C(0, 18) and D(22, 18)
\(BC=\sqrt{(0-11)^2+(18-26)^2} =13.6\ unit\\\\AC=\sqrt{(0-11)^2+(18-0)^2} =21.1\ unit\)
BC = BD, AC = AD
Perimeter of kite = BC + BD + AC + AD = 2BC + 2AC = 2(13.6) + 2(21.1) = 69.4 units = 69.4 inches
Answer: 69
Step-by-step explanation:
In a complete paragraph, explain how to scope a speech.
Please use your own words.
Answer:
Prepare. You dread public speaking because you don't know what to say.
Psych yourself. ...
Know your audience. ...
Be an expert on your topic. ...
Visualize. ...
Conduct an ocular inspection. ...
Read, watch, and listen to good speakers.
Step-by-step explanation:
To scope a speech you need to narrow dow. what you are talking about into the relevant topic. A easy way to effectivly scope your speech is to ask yourself "what information do I want my audience to know at the end of my speech." Once you've answered his for yourself, use it as your focal point for your speech. Keep what you're talking about relevant to the purpose and thesis of your speech. And make sure to use anything superfluous or extraneous because it will broaden your scope and take the speech away from the ultimate goal.
Mrs. Ortiz measured the outside temperature at noon as -2°F. Later that
day, she measured the temperature as -5°F. Write an inequality that
correctly compares -2 and -5. Then explain the meaning of the inequality
for the situation. 6.NS.7, 6.NS.7b
Answer:
-2°F>-5°F
Step-by-step explanation:
-2°F is greater than -5°F
This also means the first time Mrs. Ortiz measured the outside tempurature it was hotter than the second time she measured it.
What is the length in centimeters of the hypotenuse of the right triangle
below?
The height is 2cm and the base is 8cm.
A. V22 +82
B. √2 +8
C. 8-2
D. 22 +82
Using Pythagorean theorem, the length of the hypothenuse is 8.2 units
What is Pythagorean theorem?Pythagorean theorem is a principle that relates to right triangles. It states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In mathematical terms, the Pythagorean theorem can be expressed as:
x² = y² + z²
Substituting the values into the formula above;
x² = 2² + 8²
x² = 4 + 64
x² = 68
Taking the square root of both sides;
x = √68
x = 8.2 units
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In how many ways can you put seven marbles in different colors into four jars? Note that the jars may be empty.
Answer: 16,384
Step-by-step explanation:
The seven marbles have different colours, so we can differentiate them.
Now, suppose that for each marble we have a selection, where the selection is in which jar we put it.
For the first marble, we have 4 options ( we have 4 jars)
For the second marble, we have 4 options.
Same for the third, for the fourth, etc.
Now, the total number of combinations is equal to the product of the number of options for each selection.
We have 7 selections and 4 options for each selection, then the total number of combinations is:
C = 4^7 = 16,384
Answer:
the answer is 16384
Step-by-step explanation:
have a nice day.
Find a vector equation with parameter t for the line of intersection of the planes x y z=2 and x z=0.
The vector equation with parameter t for the line of intersection of the planes x + y + z = 2 and x + z = 0 is r(t) = <0, 2, 0> - t<1, -1, 0>.
To find a vector equation with parameter t for the line of intersection of the planes x + y + z = 2 and x + z = 0, we can solve the system of equations formed by the planes.
First, let's solve for y in terms of x and z from the equation x + y + z = 2. Rearranging the equation, we have y = 2 - x - z.
Now, substitute this expression for y in the equation x + z = 0. We have x + (2 - x - z) + z = 2, which simplifies to 2 - z = 2.
Solving for z, we find z = 0.
Substituting z = 0 into the equation x + z = 0, we have x = 0.
Now that we have the values of x, y, and z, we can form a vector equation for the line of intersection as follows:
r(t) = = <0, 2 - x - z, 0> = <0, 2, 0> - t<1, -1, 0>.
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hi guys
whsts 2,0000+234.0000=
Answer:
2340002
Step-by-step explanation:
glwhbEqFVGRBAhfrwlghaebg
Answer:
20234.0
Step-by-step explanation:
20000+234.0000=20234
i hope this helps you
have a nice day!!
What are the 7 whole numbers?
Answer:
There are an infinte amount of whole numbers
Step-by-step explanation:
7 examples are, 0, 3, 7 , 8 ,9 14, 39
If 100mg of drug X is mixed with enough ointment to obtain 50 grams of mixture, what is the concentration of drug X in ointment (expressed as a ratio)?
The concentration of drug X in the ointment mixture is 2mg/g or 0.002. This means that for every gram of ointment, there are 2 milligrams of drug X present.
To find the concentration of drug X in the ointment mixture, we can calculate the ratio of the mass of drug X to the mass of the ointment. In this case, 100mg of drug X is mixed with enough ointment to obtain 50 grams of the mixture, resulting in a concentration of 2mg of drug X per gram of ointment.
Given:
Mass of drug X = 100mg
Total mass of the mixture = 50g
Step 1: Convert units
To ensure consistent units, we need to convert the mass of drug X from milligrams to grams. Since 1 gram equals 1000 milligrams, the mass of drug X is 0.1 grams.
Step 2: Calculate the concentration
The concentration of drug X in the ointment mixture is defined as the ratio of the mass of drug X to the mass of the ointment.
Concentration = Mass of drug X / Mass of ointment
In this case, the mass of drug X is 0.1 grams, and the mass of the ointment is 50 grams.
Concentration = 0.1g / 50g
Simplifying the expression, we get:
Concentration = 0.002
Therefore, the concentration of drug X in the ointment mixture is 0.002, which means there are 2 milligrams of drug X per gram of ointment.
In summary, the concentration of drug X in the ointment mixture is 2mg/g or 0.002, indicating that for every gram of ointment, there are 2 milligrams of drug X.
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A recipe calls for 1/2 of a teaspoon of sugar for every 15 cookies. If you are going to make 75 cookies for a party, how many teaspoon of sugar will you use.
Answer:
2.5 teaspoons
Step-by-step explanation:
75/15 = 5
1/2 · 5 = 2.5
Answer:
2.5 teaspoons of sugar
Step-by-step explanation:
\(\frac{15}{0.5} =\frac{75}{y}\)
Cross multiply.
15 × y = 0.5 × 75
15y = 37.5
15y ÷ 15 = 37.5 ÷ 15
y = 2.5
need help!! will give brainliest 2 whoever can give the right answer.
Answer:
Step-by-step explanation:
i dont know