The velocity of the sign are given as follows:
a) Relative to the car: 60 kilometers an hour.
b) Relative to the ground: 0 kilometers an hour.
What is relative speed?The relative speed of one object towards another is given by the rate of change in the position of each these objects relative to each other in regard to time.
Relative to the car, the sign gets 60 kilometers closer every hour, hence the relative speed of the sign will be of 60 kilometers. an hour.
Now, for the ground, the distance between the sign and the ground will always be the same, that is, there is no change in the distance. Hence, the velocity of the sign relative to the ground is of 0 kilometers and hour.
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Sohan rolled a number cube 90 times. The outcome of ""6"" occurred 18 times. What is the experimental probability of rolling a 6?
The value of the experimental probability of rolling a 6 is found as 1/5.
Define the term experimental probability?A probability that has been established by a series of tests is called an experimental probability. To ascertain their possibility, a random experiment is conducted and iterated over a number of times; each iteration is referred to as a trial. The purpose of the experiment is to determine the likelihood that a particular occurrence will occur or not.For the given question-
Sohan made 90 turns of the number cube. There were 18 occurrences of the result of "6."Thus, by the definition of the probability-
Probability (getting 6) = number of occurred outcomes/ Total outcomes
Probability (getting 6) = 18/90
Probability (getting 6) = 1/5
Thus, the value of the experimental probability of rolling a 6 is found as 1/5.
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eight times the quotient of x and 2
Answer:
4x
Step-by-step explanation:
the quotient of x and 2 is [tex]\frac{x}{2}[/tex] , then
8 × [tex]\frac{x}{2}[/tex] ( cancel 8 and 2 by 2 )
= 4 × x
= 4x
Select the ordered pair that is NOT marked on the coordinate plane.
An ordered pair that is not marked on the coordinate plane of this graph is (8, 0).
What is a graph?In Mathematics, a graph can be defined as a type of chart that is typically used for the graphical representation of ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which represent the x-coordinate (x-axis) and y-coordinate (y-axis) respectively.
What is an ordered pair?An ordered pair can be defined as a pair of two (2) data points that are commonly written in a fixed order within parentheses as (x, y), in order to represent the x-coordinate or x-axis (abscissa) and the y-coordinate or y-axis (ordinate) on the coordinate plane of any graph.
By critically observing the given graph, we can reasonably and logically deduce that data point (8, 0) is the missing ordered pair on the coordinate plane.
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what is the acceleration of a softball if it had a mass of .50kg and has a force of 70N when it hits the catchers glove
Answer:
the answer is 1.4N/kg
consider the mad statistic. what would happen if you did not take absolute values before calculating the sum of differences between group means? why would this not be a useful calculation without taking absolute values?
This type of calculation will not give the accurate values and hence, it is not useful to do calculation without taking absolute values.
We are asked that, what would happen if you did not take absolute values before calculating the sum of differences between group means.
As, when we calculate the differences between group means then, some of the values may be negative.
When we add those negative values while evaluating the sum then the sum can be less than the absolute and to get over from this type of problem we always take absolute values of the differences between group means and then get the sum.
Also, this type of calculation will not give the accurate values and hence, it is not useful to do calculation without taking absolute values.
Hence, this type of calculation will not give the accurate values and hence, it is not useful to do calculation without taking absolute values.
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Help!! In two or more sentences , explain how to find the time it takes for a rocket following the path h(x)= -4x^2 + 16x to hit the ground
The time it takes for a rocket following the path h(x)= -4x² + 16x to hit the ground is 4 seconds.
How to find the time for a rocket to hit the ground?
The given path equation is a function of x which is a time variable here. When the rocket hits ground, height of the rocket gets zero.
Hence equating the equation of height to zero and solving for x will give the time required for the rocket to hit the ground.
According to the given question:
We are given equation for height as
h(x) = -4x² + 16x
where x is the time in seconds
When object hits the ground the height becomes 0
So, we can set h(x) = 0 and then we can solve for x
-4x² + 16x = 0
Dividing by -4x from both sides
x - 4 = 0
x = 4 sec
So, the time it takes for a rocket to hit the ground is 4 seconds.
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The length of KL¯¯¯¯¯¯¯¯ is 8x−17 units. The length of ST¯¯¯¯¯¯¯ is −2x+18 units. For what value of x are the segments congruent?
NO LINKS OR FILE
Answer:
x = 3.5units
Step-by-step explanation:
Congruent means the same length, so set the given lengths equal to each other.
8x - 17 = -2x + 18
Add 2x to both sides.
10x -17 = 18
Add 17 to both sides.
10x = 35
Divide by 10
x = 3.5
When x is 3.5, KL and ST are the same length. Check.
8(3.5) - 17 = 11
and
-2(3.5) + 18 = 11
I need help like asap !!!
only numbers and decimal points
Answer:
34 inches
Step-by-step explanation:
[tex]c = \sqrt{ {16}^{2} + {30}^{2} } [/tex]
[tex]c = \sqrt{256 + 900} [/tex]
[tex]c = \sqrt{1156} = 34[/tex]
Answer:
34 inches...................
A movie theater showed an old, classic movie on Saturday and Sunday. Tickets cost c dollars for children under the age of 13 and d dollars for others.
On Saturday they sold 84 children's tickets and 157 tickets for others and collected $2,640 from ticket sales. On Sunday they sold 67 children's tickets and 134 other tickets and collected $2,211 from ticket sales. This can be represented by this system of equations
84c + 157d = 2,640
67c + 134d = 2,211
A. What could the equation 17c + 23d = 429 mean in this situation?
B. The solution to the original system is the pair c = 9 and d = 12. Explain why it makes sense that this
pair of values is also a solution to the equation 17c + 23d = 429.
The equation in the given question is answered in main body.
What is equation?
In arithmetic , an equation may be a formula that expresses the equality of 2 expressions, by connecting them with the sign =
Main body:
according to question :
A) equation for Saturday sale = 84c +157d = 2640
equation for Sunday sale = 67c +134d = 2211
when subtracted we will get, 17c +23d = 429
This equation shows the difference in sales of these 2 days in terms of ticket sold and collection.
B) According to second part solution are c= 9 , d= 12.
equation given : 17c+23d = 429
now substituting value of c and d.
⇒17(9) + 23(12)
⇒153+276
⇒429 = R.H.S
Hence equation satisfies.
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A grocery store has salmon fillets on sale for $8.30 per pound. Mrs.patrolia buys
not sure how much she bought, but all you’d have to do is multiply the cost of salmon fillets ($8.30) times the amount she bought.
Example: if Mrs. Patrolia bought 3 pounds it would be $8.30 x 3.
-2/9 x² -1/9 x² (expanding expressions)
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The final expression of (-2/9)x² - (1/9)x² is (-1/3)x².
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
(-2/9)x² - (1/9)x²
Taking out the common.
(-1/9) (2x² + x²)
Adding the like terms.
(-1/9)3x²
-1/9 x (3x²)
(-1/3)x²
Thus,
The final expression of (-2/9)x² - (1/9)x² is (-1/3)x².
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a house is 13 ft tall. its shadow is 20 ft long at the same time the shadow of a nearby building is 170 ft long. find the height of the building.
The height of the building after using proportion is 110.5 ft.
What is proportion ?
The main conceptual underpinnings on which proportion is described are ratio and fractions. When two ratios are written as a fraction using the formula a/b, ratio a:b, and then a proportion, they are equal. A and b in this situation can be any two integers. For grasping the myriad concepts in science and mathematics, the ratio and proportion are crucial constructing elements. With the right amount of proportion, a variety of problems in daily life, such as those encountered in the kitchen or in business when processing transactions, can be resolved. It facilitates comparison by establishing a relationship between two or more quantities.
Here House height = 13ft
Shadow of the house height = 20 ft
Shadow of the building height = 170ft
Noe using proportion ,
=> [tex]\frac{House height}{shadow of the house} = \frac{building height}{shadow of the building}[/tex]
=> [tex]\frac{13}{20} = \frac{x}{170}[/tex]
=> x=[tex]\frac{13*170}{20}[/tex] =110.5 ft.
Hence the height of the building is 110.5 ft tall.
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What is the slope of a line parallel to the line whose equation is 2x+4y=562x+4y=56. Fully simplify your answer.
The slope of the line parallel to the line that has an equation of 2x + 4y = 56 is -2
How to determine the slope of the line parallel to the line?The line equation is given as
2x + 4y = 56
Subtract 2x from both sides
This gives
4y = -2x - 56
Divide through the equation by 4
So, we have
y = -0.5x - 14
A linear equation is represented as
y = mx + c
Where m represents the slope
This means that
m = -0.5
Parallel lines have the same slope
This means that the slope of the line parallel to the line is -0.5
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graph the equation y-2x=0 and y=6x-10
A graph of the given system of linear equations is shown in the image attached below.
What is a graph?In Mathematics, a graph can be defined as a type of chart that is commonly used to graphically represent data points on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate.
Next, we would rewrite the first equation in standard form as follows:
y - 2x = 0
Adding 2x to both sides of the equation, we have the following:
y - 2x + 2x = 0 + 2x
y = 0 + 2x
y = 2x
By critically observing the graph (see attachment), a solution to the given system of linear equations are 2.5 and 5.
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Ms. Kirkland is baking muffins. Each batch of muffins uses 1 ½ pounds of flour. How many batches of muffins can she bake with 7 ½ pounds of flour? ______________ batches.
The number of batches of muffins Ms. Kirkland can bake with 7 ½ pounds of flour is 5 batches.
Given that, Ms. Kirkland is baking muffins. Each batch of muffins uses 1 ½ pounds of flour.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Here, [tex]1\frac{1}{2} = \frac{3}{2}[/tex] and [tex]7\frac{1}{2} = \frac{15}{2}[/tex]
The number of batches of muffins can she bake
= 15/2 ÷ 3/2
= 15/2 × 2/3
= 5 batches
Hence, the number of batches of muffins Ms. Kirkland can bake with 7 ½ pounds of flour is 5 batches.
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Answer: The answer is 5
Step-by-step explanation: I have my ways ;>
DIMENSIONAL ANALYSIS (MATH) GIVING BRAINILIEST!
Q1: What is the speed of a horsefly in feet per second? Round to the nearest hundredth.
Q2: How many times does a dragonfly's wing beat per minute?
Q3: About how many times can a bumble bee travel in one minute?
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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How to find a in this equation?
Answer:
Step-by-step explanation:
5) f(1)= 2x^3-3x^2-2x+a=-4
2^3- 3^2-2+a= -4
a=-1
6)b= 42
question the probability that a randomly selected visitor to a certain website will be asked to participate in an online survey is 0.40. avery claims that for the next 5 visitors to the site, 2 will be asked to participate in the survey. is avery interpreting the probability correctly? responses yes, because 2 out of 5 is equal to 40%. yes, because 2 out of 5 is equal to 40%. yes, because participants in the survey are selected at random. yes, because participants in the survey are selected at random. no, because there could be voluntary response bias. no, because there could be voluntary response bias. no, because only 40% of all people will visit the site. no, because only 40% of all people will visit the site. no, because 0.40 represents probability in the long run over many visits to the site.
Out of the next 5 visitors, 2 will be asked to attempt the survey. (A) yes, because 2 out of 5 is equal to 40%.
It is given the probability that the randomly selected person is asked to participate in an online survey is 0.4
This means that there is a 40% chance of a visitor being asked to join the survey.
Probability of an event = no. of favorable outcomes / total no of outcomes
P(E) = n(E) / n
Therefore, if the number of visitors to the website is 5,
n = 5
P(E) = 0.4
Hence,
n(E) / 5 = 0.4
or, n(E) = 0.4 X 5
or, n(E) = 2
Therefore, out of the next 5 visitors, 2 will be asked to participate in the survey.
Correct Question
The probability that a randomly selected visitor to a certain website will be asked to participate in an online survey is 0.40. Avery claims that for the next 5 visitors to the site, 2 will be asked to participate in the survey. is Avery interpreting the probability correctly?
(A) yes, because 2 out of 5 is equal to 40%.
(B) yes, because participants in the survey are selected at random.
(C) no, because there could be voluntary response bias.
(D) no, because only 40% of all people will visit the site.
(E) no, because 0.40 represents probability in the long run over many visits to the site.
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Here is a set of data
2.4, 1.6, 3.2, 0.3, 1.5
Each piece of data is now doubled
Work out the new mean
Answer:
The new mean is 3.6
Step-by-step explanation:
Since each piece of data is now doubled that means the data is now
4.8, 3.2, 6.4, 0.6, 3
Add up all of the data which comes out to 18
Divide 18 by the number of numbers there are which is 5
This will get you 3.6 which is the new mean of the data
Please help asap this is 2 weeks overdue i need to know which answer it is
The inequality for this graph is:
x<2
The sides of a triangle are in the form of consecutive even integers. If its perimeter is 48cm, find the
measure of each side.
Answer:
The sides of the triangle would be 14, 16, and 18.
Step-by-step explanation:
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May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
What sentence represents this equation?
8=17-2
8 is the same as 17 decreased by a number
08 is the same as a number decreased by 17.
O A number is the same as the difference of 17 and 8
O 17 decreased by 8 is the same as a number.
The sentence which represents the equation [tex]8\frac{3}{4} = 17-x[/tex] is First Option (i.e. [tex]8\frac{3}{4}[/tex] is the same as the 17 decreased by a number).
What is a number sentence?
A mathematical statement made up of numbers and symbols is called a number sentence. The sentences illustrate many mathematical operations, including addition, subtraction, multiplication, and division.
Given, [tex]8\frac{3}{4} = 17-x[/tex]
where, [tex]x[/tex] is a number and ([tex]17-x[/tex]) represents [tex]17[/tex] is decreased by a number [tex]x[/tex]
And, [tex]8\frac{3}{4}[/tex] will be equal to the [tex]17[/tex] is decreased by a number [tex]x[/tex].
Therefore, the required answer choice will be the first option i.e. [tex]8\frac{3}{4}[/tex] is the same as [tex]17[/tex] decreased by a number.
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What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (−4, −3)? y 3 = −4(x 4) y 3 = â€"one-fourth(x 4) y 3 = one-fourth(x 4) y 3 = 4(x 4)
The equation of the straight line, in point-slope form, is
[tex]y +3 = \frac{1}{4} ( x + 4)[/tex]
we have , the required line is perpendicular to the given line.
Also let us take any two coordinates of the given line , like (-1 , 1 ) and
( 0 , -3) . So the slope (m₁) of given line = [tex]\frac{y2 -y1}{x2 - x1 }[/tex]
m₁ = -4
as the required line is perpendicular to the given line so , we know
for two perpendicular lines
m₁ m₂ = -1
therefore , m₂ = 1/4
Now the required line passes through (-4,-3)
and the equation of straight line in point slope form is given by
[tex](y_{} - y_{1}) = m (x - x_{1} )[/tex]
here m = 1/4
y₁ = -3
x₁ = -4
therefore the required equation in point-slope form is
y + 3 = 1/4 ( x +4 )
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The total number of participants who went on the seventh-grade field trip to the Pink Palace consisted of all of the seventh-grade students and 19 adult chaperones. Two-thirds of the total participants rode a large bus, and the rest rode a smaller bus. If 104 people rode the larger bus, how many students went on the field trip? Write your answer below as a single integer.
The number of students that went on the field trip is 137.
How many students went on the field trip?Let s represent the number of seventh grade students that went on the field trip.
Total number of participants = number of students + number of teachers
a + 19
Number of participants that rode the larger bus : 2/3 x (a + 19) = 104
In order to determine the value of a, take the following steps:
Multiply both sides of the fraction by 3 / 2
a + 19 = 104 x 3 / 2
a + 19 = 156
Subtract 19 from both sides of the equation:
a = 156 - 19
a = 137
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Sathish is going on a 210021002100-kilometer road trip with 222 friends, whom he will pick up 150150150 kilometers after he begins the trip and drop off when there are 150150150 kilometers remaining. the car consumes 666 liters of gas for every 100100100 kilometers, and gas costs \$1.20$1.20dollar sign, 1, point, 20 per liter.
Sathish will pay $64.8
When Satish is alone, kilometres:
Beginning at 150 kilometres and ending at 150 kilometres will be travelled 300 kilometres in total
When Satish is with friends, the total kilometres travelled is 2100 km:
And when Satish went alone he travelled 300 km
When Satish is with friends, total kilometres travelled: 2100-300 = 1800 km
Gas consumed in litres when Satish is alone: 100 kilometres use 6 litres of gas.
300 kilometres at 6 x 3 equals 18 litres.
So, when Satish is with friends, litres of gas are consumed: 100 kilometres use 6 litres of gas.
So, 6 × 18 for 1800 kilometres is equal to 108 litres.
Gas prices when Satish is on his own:
$1.2 per litre
18 x $1.2 = $21.6
Gas prices when Satish is travelling with friends
$1.2 per litre
108 x 1.2 = $129.6
Cost for each friend = $129.6/3 = $43.2
Satish will pay: Cost when travelling with friends + Cost when travelling alone
=$43.2+ $21.6
=$64.8
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Alexa conduct a scientific experiment. For certain time, The temperature of a compound rose 3 1/2° every 2/3 of an hour. How much does a temperature of the compound rise in one hour? Enter your answer as a whole number, proper fraction, or mixed number in simplest form.
PLEASE HELP!!!!
What is the area of this triangle?
8cm
6cm
2cm
Answer:
6cm square
Step-by-step explanation:
Select the correct answer.
What is the domain of function f?
D
Step-by-step explanation:
The domain is the X-values in your function
as you can see, the X values continue to increase as the lines continue, infinitely
a medical researcher is studying the effects of a drug on blood pressure. subjects in the study have their blood pressure taken at the beginning of the study. after being on the medication for 4 weeks, their blood pressure is taken again. the change in blood pressure is recorded and used in doing the hypothesis test.change: final blood pressure - initial blood pressurethe researcher wants to know if there is evidence that the drug reduces blood pressure. at the end of 4 weeks, 35 subjects in the study had an average change in blood pressure of -2.4 with a standard deviation of 5.2.find the p -value for the hypothesis test. your answer should be rounded to 4 decimal places.
Answer: 0.0099
Step-by-step explanation:
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what is the relative frequency of all students surveyed who go to cook middle school and prefer energy flow?
Answer:
2/5 = 0.4 = 40%
Step-by-step explanation:
You want the relative frequency of students who go to Cook Middle School and prefer Energy Flow.
Table valuesThe table tells us the number of students who go to Cook Middle School is 35, of which 20 prefer Energy Flow. The total number of students is 50.
Relative frequencyThe relative frequency of interest is ...
(Cook & Energy Flow) / (All students)
= 20/50 = 2/5 = 0.4 = 40%
The relative frequency of students who go to Cook and prefer Energy Flow is 2/5, or 40%.
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