if you are going at a speed of 20 mph means that you travel 10 miles in one hour, so if you are at 20 min we can made the transformation like this:
\(20\frac{\text{mil}}{\text{hr}}\cdot\frac{1}{60}\frac{hr}{\min}=\frac{1}{3}\frac{\text{mil}}{\min }\)So the time take me to arrive there is:
\(\begin{gathered} D=\frac{1}{3}\frac{\text{mil}}{\min}\cdot20 \\ D=6,66\text{mil} \end{gathered}\)so it take 1/3 of hour or 20 mins to travel 6.66 mil
Draw a circle whose radius is 3cm?
Answer:
In this problem, first we need to draw a circle of radius 3 cm having a center at point O. Now, take a point P at a distance of 5.5 cm from the center of the circle. Draw a line joining the point O and P. Now draw a perpendicular bisector of the line OP that cuts OP at M.
Please choose the correct answer.
Answer:
976
Step-by-step explanation:
would you stop it already
Answer: 976m^2
Step-by-step explanation:
An easy way to find the surface area of a prism is to find the area of each side and add them all together.
Area of rectangle:
14mx10m=140m^2
Area of rectangle:
25mx10=250m^2
Since there are 2 of the long rectangles, you multiply by 2:
250m^2x2=500m^2
Area of triangle:
(24mx14m)/2=168m^2
Since there are 2 triangles, you multiply by 2:
168m^2x2=336m^2
Surface Area:
140+500+336=976m^2
0.25+(2.9 times 10^-3
Answer: .2529
Explanation:
1) 10^-3= .001
2).001*2.9=.0029
3) .25+.0029= .2529
Answer:
0.2529
Step-by-step explanation:
Plz mark B R A I N L I E S T
a large container contains 41 2/3 cups of lemonade.if the lemonade is to be poured into smallercups,each holding 3 1/8cups of lemonade, how many cups canbe filled
Answer:
13 but I'm not really sure
is this learning or people asking questions to there homework?
Yes
step by step explanation
How many degrees has PRQ been rotated to make PRQ
We saw that about 34% of
all students received at least one referral. Suppose we have concerns about the number of
disciplines in one particular school - it seems very high, and we've had concerns from parents at the school. In one particular year, 162 out of the 340 students at that school had a referral.
a. If we selected a random sample of 340 students, would the sample proportion that are
disciplined be approximately normally distributed? Why or why not?
b.
Use the normal distribution to find the probability of randomly selecting a sample of 340
students and finding that 162 of them or more have received a referral during that
particular year.
C. Would we think that is unusual? Explain your reasoning.
The likelihood of discovering a z-score of 4.39 or higher with a regular normal distribution table or calculator is extremely low, roughly 0.00001.
what is probability ?It is a scale among 0 and 1 that represents the probability or likelihood of an event happening. In many disciplines, including statistics, physics, economics, law, and computer science, probability theory is extensively used. Many situations, such as games of chance, weather predictions, medical diagnoses, and more, can be explained using the concept of probability. The mathematical computation of probabilities, the analysis for random variables, and the conclusion-making process are all included in the study of probability.
given
The likelihood that 162 or more kids in a randomly chosen sample of 340 pupils will have received a referral in that particular year can be calculated using the normal distribution.
Calculating the sample proportion is necessary:
The predicted value of p is equal to the 0.34 underlying proportion of referred pupils. It is possible to compute the sample proportion's standard deviation as follows:
P equals sqrt[p(1-p)/n] = sqrt[0.34(1-0.34)/340] = 0.031
Calculate the z-score to determine the likelihood of locating 162 or more kids with referrals:
\(z = (0.476 - 0.34) / 0.031 = 4.39\)
The likelihood of discovering a z-score of 4.39 or higher with a regular normal distribution table or calculator is extremely low, roughly 0.00001.
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what is the correct distribution of (2x-8)(3x-6) using the distributive property
Answer:
6x² -36x +48
Step-by-step explanation:
The terms in one factor are each multiplied by the terms in the other factor. The resulting partial products are then combined. (This works the same as for numerical "long" multiplication.)
(2x -8)(3x -6) = 2x(3x -6) -8(3x -6)
= 6x² -12x -24x +48 . . . . . . . form partial products
= 6x² -36x +48 . . . . . . . collect terms
Answer:
6x² - 36x + 48
Step-by-step explanation:
(2x-8)*(3x-6) = 2x*3x + 2x* -6 + -8*3x + -8*-6
6x² - 12x - 24x + 48
6x² - 36x + 48 [Answer]
PLEASE RATE!! I hope this helps!!
if you have any questions comment below!!
(I have verified my answer using an online calculator)
Add 2.5 to the product of 4.2 and 0.2
Answer:
3.34.
Step-by-step explanation:
4.2 * 0.2 + 2.5
= 0.84 + 2.5
= 3.34.
Answer:
3.34
Step-by-step explanation:
the product is 4.2×0.2=0.84
add is 2.5 + 0.84=3.34
What is the intermediate step in the form (x+a)^2=b as a result of complementing the square for the following equations
The intermediate step in the form (x+a)²=b as a result of completing the square for the equation x² + 2x = 319 is (x+1)² = 320.
To use completing the square to solve the equation x² + 2x = 319, we have to write the left-hand side of the equation as a perfect square.
Add the square of half of the coefficient of x to both sides of the equation:
x² + 2x + (2/2)² = 319 + (2/2)²
x² + 2x + 1 = 320
The left-hand side of the equation can now be factored as a perfect square:
(x+1)² = 320
This is the equation in the form (x+a)²=b, where a=1 and b=320.
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The complete question is as follows:
What is the intermediate step in the form (x+a)²=b as a result of complementing the square for the following equation?
x² + 2x = 319
Oht
Find the length
of the diagonal
4 in
11 in
The length of the diagonal of the rectangle is 11.70 in.
What is a diagonal?A diagonal of a polygon is a line segment that joins two vertices of the polygon which are not already joined by an edge of the polygon.
Since, there is no information about which polygon's diagonal length we are asked to find, so let us consider that the given side lengths are of a rectangle,
Now, please refer to the figure attached in the solution,
We know that, the diagonal of a rectangle divides it into two right triangles,
Here our rectangle is ABCD and the diagonal AC divides it into rt. Δ ABC and rt. Δ ADC,
Considering the rt. Δ ABC,
The diagonal AC is acting as the hypotenuse of rt. Δ ABC,
So, using Pythagoras theorem,
AC² = AB² + BC²
AC = √4²+11²
AC = √121+16
AC = 11.70
Since, the diagonals of a rectangle are congruent so, AC = BD = 11.70
Hence, the length of the diagonals of the rectangle is 11.70 in.
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PLEASE HELP THIS IS HARD
The Area of the shaded portion is: 72 square inches
What is the Area of the shaded region?The formula for the area of a triangle is given by the formula:
Area = ¹/₂ * base * height
Now, to get the area of the shaded portion, we will get the area of the larger triangle and subtract the area of the smaller one from it.
Thus:
Area of larger triangle = ¹/₂ * 17 * 13 = 110.5 square inches
Area of smaller triangle = ¹/₂ * 11 * 7 = 38.5 square inches
Thus:
Area of shaded portion = 110.5 square inches - 38.5 square inches
Area of shaded portion = 72 square inches
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Consider the line through (-1, -4) and (1, 2).
What is the slope (m) of the line?
Answer:
3
Explanation:
\(\bold{\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}}\)\(\bold{\left(x_1,\:y_1\right)=\left(-1,\:-4\right),\:\left(x_2,\:y_2\right)=\left(1,\:2\right)}\)
\(\bold{m=\frac{2-\left(-4\right)}{1-\left(-1\right)}}\)
Refinem = 3
Return to the calculator tab, and click the clear button to begin A new calculation. this time, you'll check for valid triangles given two angles and the side between themUnder sides, enter 5 for a. under angles, enter 30 for b and 50 for c. then click calculate. how many triangles can be created from the given conditions?
There can be one valid triangle created from the given conditions of side a being 5 and angles b and c being 30 and 50 degrees respectively.
To calculate how many triangles can be created from two angles and a side, the user must click the “calculator” tab. Once this is done, it is important to click the “clear” button to begin a new calculation. After this, the user must enter the side (a) under the “sides” section, and the angles (b and c) under the “angles” section. This example used 5 for the side, 30 for angle b, and 50 for angle c. Once the information is entered, the user must click “calculate”. This will result in a valid triangle being created from the given conditions. It is important to note that if the user entered different values, a different result may be obtained. Therefore it is important to ensure that the values entered are the desired ones. Additionally, if the sum of the angles entered are not equal to 180 degrees, then no valid triangle can be created.
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for each parallel lines. you are given the measure of one angle
Answer:
The question is not complete
Select the correct answer. Function f is an exponential function that is negative on the interval (-∞, 1) and positive on the interval (1, ∞). Which could be the graph of function f? A. An exponential function passes through (0, minus 6), (0.5, minus 2), (1, 0), (2, 2), (5, 3) B. An exponential function passes through (minus 1, minus 2), (minus 0.5, 0), (0, 1), and (4, 3) C. An exponential function passes through (minus 5, 3), (minus 2, 2), (minus 1, 0), and (0, minus 6) D. An exponential function passes through (minus 4, 3), (minus 1, 3.8), and (0, 5)
The exponential function which passes through (0,-2),(1,0),(2,2) (5,3) is negative on the interval (-∞,1) and positive on the interval (1,∞).
Given Function f is negative on the interval (-∞,1) and positive on the interval (1,∞)
We have to find the statement for which the exponential function' s values are given.
First option is having the statement which says that exponential
function passes through points (0,-6)(0.5,-2),(1,0),(2,2) (5,3). These points are showing the domain and value of the function which is codomain.
for x=0 it has -6,
for x=1 it has 0,
for x=2 it has 2,
for x=5 it has 3.
for x=0.5 it has -2
The description says that value of function is negative in interval (-∞,1) and positive in (1,∞) which is true for option A as it has negative values of -2 for x=0 and for x=2,5 it has value of 2 and 3.
Hence the function f is an exponential function passes through (0, minus 6), (0.5, minus 2), (1, 0), (2, 2), (5, 3).
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Let's roll two dice and find the probability of rolling a certain sum. Is this a simple or compound event?
Two dice - Red and Blue
Recall that a simple event has one and only one outcome of interest. In this example, we are rolling two dice, but we are only interested in one outcome, the sum of the two dice. This is a simple event.
What is the probability of:
Rolling a sum of 1?
Rolling a sum of 3?
Rolling a sum of 12?
Rolling a sum of 7?
Since we are rolling a pair of dice and looking for the sum, the sample space is a little more complicated than rolling one die. The chart below will help us determine the possible outcomes. The top row indicates the numbers on the sides of the blue die and the first column represents the number on the sides of the red die. The white area indicates the sum of the numbers in the row and column.
# Rolled 1 2 3 4 5 6
1 1+1=2
1
+
1
=
2
1+2=3
1
+
2
=
3
1+3=4
1
+
3
=
4
1+4=5
1
+
4
=
5
1+5=6
1
+
5
=
6
1+6=7
1
+
6
=
7
2 2+1=3
2
+
1
=
3
2+2=4
2
+
2
=
4
2+3=5
2
+
3
=
5
2+4=6
2
+
4
=
6
2+5=7
2
+
5
=
7
2+6=8
2
+
6
=
8
3 3+1=4
3
+
1
=
4
3+2=5
3
+
2
=
5
3+3=6
3
+
3
=
6
3+4=7
3
+
4
=
7
3+5=8
3
+
5
=
8
3+6=9
3
+
6
=
9
4 4+1=5
4
+
1
=
5
4+2=6
4
+
2
=
6
4+3=7
4
+
3
=
7
4+4=8
4
+
4
=
8
4+5=9
4
+
5
=
9
4+6=10
4
+
6
=
10
5 5+1=6
5
+
1
=
6
5+2=7
5
+
2
=
7
5+3=8
5
+
3
=
8
5+4=9
5
+
4
=
9
5+5=10
5
+
5
=
10
5+6=11
5
+
6
=
11
6 6+1=7
6
+
1
=
7
6+2=8
6
+
2
=
8
6+3=9
6
+
3
=
9
6+4=10
6
+
4
=
10
6+5=11
6
+
5
=
11
6+6=12
6
+
6
=
12
How many outcomes are in the sample space? Answer
Answer:
the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.
Ali, Basti and Cian stand at three points A, B and C respectively. Suppose that the measure of angle ABC is 50 degrees , the measure of angle BAC is 60 degrees and Ali is exactly 150 ft away from Basti. Find the distance between Basti and Cian.
The distance between Basti and Cian is approximately 138.2 ft. Option D
To find the distance between Basti and Cian, we can use the Law of Sines, which relates the lengths of sides to the sines of their opposite angles in a triangle.
Let's label the points: A, B, and C. Ali is at point A, Basti is at point B, and Cian is at point C.
Given:
Angle ABC = 50 degrees (angle opposite side AC)
Angle BAC = 60 degrees (angle opposite side BC)
Ali is 150 ft away from Basti (side AB)
We want to find the distance between Basti and Cian, which is side BC.
Using the Law of Sines, we have:
BC/sin(50) = AB/sin(60)
Substituting the known values:
BC/sin(50) = 150/sin(60)
To find BC, we can rearrange the equation:
BC = (150/sin(60)) * sin(50)
Using a calculator to evaluate the expression:
BC ≈ 138.2 ft
Option D is correct.
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GEOMETRY 100 POINTS
Find the length of BC
Answer:
x = 16
Step-by-step explanation:
Opposite sides are equal in a parallelogram
AD = BC
5x - 12 = 3x + 20
5x - 3x = 20 + 12
2x = 32
x = 32/2
x = 16
Candace made donuts and could package 11 of them in each box if she needs 3908 donut how many full boxes would she have?
Answer:
355 full boxes. 356 if you don't count the not full one that she would need.
Step-by-step explanation:
3908/11 = 35.272727
A new concert venue just opened in downtown Houston and they are in the process
of deciding how many tickets they can sell for each show. The venue has three levels,
two general admission that only have standing room, and one level with 150 seats.
The venue thinks each person will occupy 2.25 ft.
.
• The first level of standing room is a square with one side measuring 75ft.
The second level, also standing room, is a rectangle measuring 100' by 50' ft.
. The third level has 150 seats.
How many tickets can they sell for the first level?
Answer:
2500
Step-by-step explanation:
Dimensions of first level
Length = Breadth = 75 ft (since it is a square)
It is assumed that a person will occupy \(2.25\ \text{ft}^2\)
Area of first level
\(75\times 75=5625\ \text{ft}^2\)
When the area of the level is divided by the area of one person then we will get the number of people that can occupy the room or the number of tickets that can be sold.
\(\dfrac{5625}{2.25}=2500\)
The number of tickets that can be sold for the first level is 2500.
I cant solve please help me
Answer:
Let us set up a ratio to find the relationship between side lengths of the two triangles.
25:10
5:2
We can divide both sides by two, but there's no need as the smaller triangle has multiples of two.
So, if XZ is 6, let's place it into the ratio and find what "x" is.
5(3) : 2(3)
15 : 6
x = 15
The price of a stock decreased $2 each day for seven consecutive days what was the total change in value of the stock over the seven days
Answer:
The stock lost $14 in 7 days
Step-by-step explanation: I know how to multiply.
The total change in the value of the stock over the seven days is $14 if the price of a stock decreased $2 each day for seven consecutive days.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that are +, -, ×, and ÷.
It is given that:
The price of a stock by decreased $2 each day for seven consecutive days
The price of a stock decreased by $2 per day for seven consecutive days.
Each day the cost is decreased by $2
Therefore, in 7 days the total reduction in cost is: 7×2= $ 14
So, the total change in the value of the stock is: -$ 14.
The total change in the value of the stock over the seven-day period is:
It decreased by $ 14
Thus, the total change in the value of the stock over the seven days is $14 if the price of a stock decreased $2 each day for seven consecutive days.
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Which sequence of transformations was applied to the parent tangent function to create the function m(x) = 2tan(3x+4)
The function m(x) = 2tan(3x+4) is obtained by applying a sequence of transformations to the parent tangent function.
To determine the sequence of transformations, let's break down the given function:
1. Inside the tangent function, we have the expression (3x+4). This represents a horizontal compression and translation.
2. The coefficient 3 in front of x causes the function to compress horizontally by a factor of 1/3. This means that the period of the function is shortened to one-third of the parent tangent function's period.
3. The constant term 4 inside the parentheses shifts the function horizontally to the left by 4 units. So, the graph of the function is shifted to the left by 4 units.
4. Outside the tangent function, we have the coefficient 2. This represents a vertical stretch.
5. The coefficient 2 multiplies the output of the tangent function by 2, resulting in a vertical stretch. This means that the graph of the function is stretched vertically by a factor of 2.
In summary, the sequence of transformations applied to the parent tangent function to create the function m(x) = 2tan(3x+4) is a horizontal compression by a factor of 1/3, a horizontal shift to the left by 4 units, and a vertical stretch by a factor of 2.
Example:
Let's consider a point on the parent tangent function, such as (0,0), which lies on the x-axis.
After applying the transformations, the corresponding point on the function m(x) = 2tan(3x+4) would be:
(0,0) -> (0,0) (since there is no vertical shift in this case)
This example helps illustrate the effect of the transformations on the graph of the function.
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Recognizing the measurement scale of the data collected on each variable is important because the type of data dictates the appropriate data summary methods and statistical procedures. Which variable(s) in the data set are measured using a nominal scale?
The data set's environment variable(s) are quantified on a nominal scale.
Describe data sets?
A data set is created from collected data. When working with tabular data, a data set is equivalent to one or more database tables, each of whose columns and rows correspond to various variables and each of which corresponds to a particular record of the corresponding data set. A data set is a collection of interconnected, unique pieces of interconnected data that can be accessed separately, together, or under a single control.A particular type of data structure is used to organize a data set. A few examples of the enormous amount include numerous medical data, various measures, financial data, statistical data, demographic data about specific populations, and insurance data.To learn more about data sets refer to:
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Which is the best estimate of the circumference of this circle? A. 4 units B. 2 units C. 38 units D. 12 units
Answer:
The question is not complete
The best estimate of the circumference of the circle with radius 2 units is 12 units (approximately).
What is circumference of a circle?The circumference of a circle is the perimeter of the circle. It is the total length of the boundary of the circle. The circumference of a circle is the product of the constant π and the diameter of the circle.
Under these circumstances, the circumference of a circle may be defined as the limit of the perimeters of inscribed regular polygons as the number of sides increases without bound. The term circumference is used when measuring physical objects, as well as when considering abstract geometric forms.
Given, radius = 2 units.
Circumference of a circle = 2πr = 2 * 3.14 * 2 = 12.56 units
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The sum of three consecutive even numbers is 120. What is the smallest of the three numbers?
Answer:
Step-by-step explanation:
the consecutive are 39,40,41 and the smallest here is 39
Hope this helped
Given that A={1,2,3,4,5} list the elements of the following sets. i.{x2:x€A} ii.{ :x€A} iii.{2x :x€A} iv.{4x+1:x€A}
Answer:no idea
Step-by-step explanation:
PLEASE HELP IM SO LOST
Answer: f(x) has an axis of symmetry at x = 4 and h(x) has an axis of symmetry at x = -2
Step-by-step explanation:
You can easily find the axis of symmetry by investigating around which line the functions are symmetrical about
for instance, in h(x), the graph is symmetrical on either side of x = -2, meaning that the line x = -2 cuts the parabola in 'half'
in f(x), this is a little harder to think about, but if you know how the graph will be shifted on the x-axis you can figure it out! In this case (x-4)^2 means that the graph will be shifted on the x-axis 4 units to the right (or from the origin to +4 on the X axis)
as such the line x = 4 will cut the function f(x) in 'half'
1) Given that f(x)
2x²-3x - 7, where x ER
a) Show that the equation f(x) = 0 has two real roots.
b) Solve the equation f(x) = 0.
=
Answer:
Step-by-step explanation:
1) Given that f(x)= 2x²-3x - 7
a) Show that the equation f(x) = 0 has two real roots.
Calculate the discriminant Δ
f(x) = ax²+bx+c
f(x) = 2x²-3x - 7
Δ= b²-4ac = (-3)²-4·2·(-7) = 9 +56 = 65
Δ =65 is
Δ > 0 so the equation has 2 real distinct roots because the discriminant is not 0 or negative, it is a positive number.
b) Solve the equation f(x) = 0.
x= (-b ±√Δ)/2a
x= (3 ±√65)/2·2
One root is x=(3 + √65)/4, the second root is x=(3 - √65)/4
Solutions are x≈2.77 and x≈ -1.27