You can use the following equation to determine how long it will take to go 200 kilometers at a speed of 60 kilometers per hour:
Time = Distance / Speed
By entering the specified values, you obtain
200 kilometers divided by 60 kilometers per hour equals time.
Divide the distance by the speed to find the time:
Time =200/60
3.333 hours (or 3 hours and 20 minutes)
As a result, travelling 200 kilometers at a speed of 60 kilometers per hour will take 3 hours and 20 minutes.
Therefore, It will take 3 hours and 20 minutes to travel 200 kilometers at a speed of 60 kilometers per hour .
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out of 60 customers at a restaurant in one evening, 41 said they liked the service, 49 said they liked the food, and 37 said they liked both the service and the food. how many said they liked neither the service nor the food?
33 out of 60 customers said they liked neither the service nor the food.
At a restaurant on one evening, 60 customers were surveyed about their experience. Of those customers, 41 said they liked the service, 49 said they liked the food, and 37 said they liked both the service and the food.
To answer the question of how many said they liked neither the service nor the food, we can subtract the numbers of those who liked the service, food, or both from the total number of customers.
60 customers - 41 who liked the service - 49 who liked the food - 37 who liked both = 33 customers who liked neither the service nor the food.
In conclusion, 33 out of 60 customers said they liked neither the service nor the food at the restaurant on the evening in question. This data shows that the majority of customers enjoyed their experience, with over two-thirds of customers liking either the food, the service, or both.
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In a bag of apples and oranges, the ratio of apples to oranges is 4:3.
If the bag contains 70 apples and oranges, how many oranges are there?
Select the correct response:
25
30
35
40
In the bag, there are 30 oranges out of a total of 70 apples and oranges.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, In a bag of apples and oranges, the ratio of apples to oranges
is 4 : 3 and the total number of apples and oranges is 70.
Therefore, The number of oranges in the bag is,
= {3/(4 + 3)}×70.
= (3/7)×70.
= 3×10.
= 30 oranges.
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which is the following exterior angles
which is the following exterior angles
Answer:
6,4,3,2
6-3 practice proving that a quadrilateral is a parallelogram
Answer:FX rtydf
V a s
Step-by-step explanation:gcvgvhjtv
ax
instrument for recording the number of steps in walking
parameter
odometer
pedometer
centimeter
Answer:
Step-by-step explanation:
Pedometer
Use the data to create a scatter plot
A scatter plot which represents relationship between the street distance (in centimeters) and weight (in Newtons) has been plotted in the image attached below.
How to construct and plot the data in a scatter plot?In this scenario, the street distance (in centimeters) would be plotted on the x-axis (x-coordinate) of the scatter plot while the weight (in Newtons) would be plotted on the y-axis (y-coordinate) of the scatter plot through the use of Microsoft Excel.
From the scatter plot (see attachment) which models the relationship between the street distance (in centimeters) and weight (in Newtons), a linear equation for the line of best fit is given by:
y = 1.30x - 2.30
In conclusion, we can reasonably infer and logically deduce that the scatter plot indicates a linear relationship between the street distance (in centimeters) and weight (in Newtons).
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trigonometry yr 10 , pls help fast
Let's consider what the question asks for:
--> value of y when x = 45
In the equation: we need to find the value of 'a' and 'b'
--> lets plug our other known value to find 'a' and 'b'
--> let's use the value of x = 90 and y = 4
--> as cos(x) will equal zero and we can find the value for 'b'
[tex]y=a*cos(x)+b\\4=a*cos(90)+b\\4=0+b\\b=4[/tex]
--> having found 'b', let's find 'a' with any other set of value
--> lets use y = 10 when x = 0
[tex]10=a*cos(0)+4\\10=a*1+4\\10=a+4\\a=6[/tex]
Having found 'a' and 'b':
--> let's plug in 'x = 45' in the equation to find its corresponding y-value
[tex]y=6*cos(45) +4\\\\y = 6 * \dfrac{\sqrt{2} }{2} +4= 4 + 3\sqrt{2}[/tex]
Thus the value of y, when x = 45
==> Answer:
[tex]4 + 3\sqrt{2}[/tex]
Which of the following equations are equivalent? Select three options. 2 + x = 5 x + 1 = 4 9 + x = 6 x + (negative 4) = 7 Negative 5 + x = negative 2
2+x=5. x+1=4. 5+x= negative 2
Step-by-step explanation:
Solve my getting X by itself to one side. you do this by moving the number on the side of the question. therefore you perform the inverse operation. inverse of addiction is subtraction and inverse of subtraction is addition.
2+x=5.
-2. -2
x=3
x+1=4
-1. -1
x=3
-5+x= -2
+5. +5
x=3
Can anyone help me solve this question?
e. Use the expansion of (1 + x)^5 to find the exact value of (1 + √5)^5
Answer:
176 +80√5
Step-by-step explanation:
You want the exact value of (1 +√5)^5.
Binomial expansionThe coefficient of the expansion are found in Pascal's triangle (attached). Row 5 is used for the 5th power:
(a +b)^5 = a^5 +5·a^4·b + 10·a^3·b^2 +10·a^2·b^3 +5·a·b^4 +b^5
ApplicationWhen a = 1 and b = √5, this becomes ...
(1 +√5)^5 = 1 + 5·√5 +10·5 + 10·5√5 +5·25 +25√5
= (1 +50 +125) +(5 +50 +25)√5
(1 +√5)^5 = 176 +80√5
just a quick addition to "sqdancefan" superb reply above
[tex]\qquad \qquad \textit{binomial theorem expansion} \\\\ \qquad \qquad (1+\sqrt{5})^{5}~\hspace{4em} \begin{array}{clcl} term&coefficient&value\\ \cline{1-3}&\\ 1&+1&(1)^{5 }(\sqrt{5})^0\\ 2&+5&(1)^{4}(\sqrt{5})^1\\ 3&+10&(1)^{3}(\sqrt{5})^2\\ 4&+10&(1)^{2}(\sqrt{5})^3\\ 5&+5&(1)^{1}(\sqrt{5})^4\\ 6&+1&(1)^{0}(\sqrt{5})^5 \end{array} \\\\[-0.35em] ~\dotfill[/tex]
[tex]1(1)+5(1)(\sqrt{5})^1+10(\sqrt{5})^2+10(1)(\sqrt{5})^3+5(\sqrt{5})^4+(\sqrt{5})^5 \\\\\\ 1+5\sqrt{5}+50+50\sqrt{5}+125+25\sqrt{5}\implies {\Large \begin{array}{llll} 176+80\sqrt{5} \end{array}}[/tex]
How many right angle are there in l?
There is one right angle in the L angle.
A right angle is one that is 90 degrees in length. It is the most frequently encountered angle in our daily lives. It can be noticed in room corners, box edges, mobile phone screens, and so on.
A square's and a rectangle's sides always make a right angle with each other. It is represented in radians as /2.
The angle formed by two lines that are perpendicular to each other is called a right angle. A right angle is equal to 90° and is in the shape of the letter "L". In the following figure, ray AB and BC form a right angle ABC.
Thus, there is one right angle in the L angle.
Complete question: How many right angles are there in L angles?
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Help Quick im gonna fail
Answer:
A
Step-by-step explanation:
Other than itself, what is an angle that is congruent to
Other than itself, ∠FGE is an angle that is congruent to ∠FGB.
What is congruent angle?Angles that are congruent with one another include two or more angles. This means that the dimensions of these angles are same. Angles can be acute, obtuse, exterior, or interior, and the congruence of angles is unaffected by their type. Congruent angles aren't always supplementary angles, in general. Angles must be complementary in order for the sum to be 180. Since right angles and supplementary angles have the same measure and sum up to 180, they are the only angles that can be said to be congruent.
Because ∠FGE and ∠FGB are supplementary angles, so they add up to 180 degrees. Because angle ∠FGE is 90 degrees, or a right angle, that means ∠FGB must also be 90 degrees. This makes them congruent.
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What is the distance formula of uniform motion?
An object moves in a straight line at a constant speed when it is in uniform motion. In this equation, the units of length used to measure distance are meters or kilometers, the units of velocity are meters per second or kilometers per hour, and the units of time are seconds or hours. Given an object's speed, this formula can be used to determine how far the object will go in a given amount of time.
It's also crucial to keep in mind that this formula is only accurate for motion that is uniform .
The distance formula for uniform motion is:
Distance = Speed x Time
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Is the line shown on the scatter plot a good
line of fit?
Yes, because the line follows the pattern
of the data but excludes the outlier.
Yes, because the line models
a positive association.
No, because the dat& does not have a
linear association.
No, because the line does not pass
through any of the data points.
●
●
●
●
●
The scatter plot's line is a strong line of fit because it Yes, as the line depicts a favorable association.
Is a line of best fit a scatter plot?A scatter plot's maximum number of points and an approximately equal number of points above and below the line are the parameters that define the line of best fit. It is employed to examine the type of relationship between two variables. In general, a graph's "line of best fit" passes through the center of each scatter point.
Stronger correlations occur when points are located along the line of best fit. the sum of squares of errors for each and every conceivable line. The most accurate line is the one with the lowest total of squared errors. The correlation between the two variables is higher when the data points are drawn so that they nearly form a straight line.
Therefore the correct answer is Yes, because the line models a positive association.
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Oliver chooses four of his toy cars and measures their wheel length and then calculates the circumference. If he was to divide the circumference by the diameter for each of his wheel length, what would he find? A) Each time you get 0. 32. B) Each time you get 0. 64. C) Each time you get 3. 14. D) Each time you get 6. 28
If Oliver chooses four of his toy cars and measures their wheel length , and If he divide circumference by diameter for each of his wheel length, then he would find that (c) each time Oliver will get 3.14 .
let radius of circular wheel be = r ;
the diameter of the circular wheel will be = 2r ;
So , the circumference of the wheel is = 2πr ;
on dividing circumference by the diameter for each of his wheel length ,
we get ;
= [tex]\frac{2\pi r}{d}[/tex] ;
Substituting the value of diameter, d = 2r ;
we get ;
= [tex]\frac{2\pi r}{2r}[/tex] ;
After simplification ,
we have ;
= π .
We know that, value of [tex]\pi[/tex] is [tex]3.14[/tex] .
Therefore , On dividing each time we will get 3.14 .
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PLS HELPP!!!!!!
Ms. Lea ate ¾ of a bag of skittles, Ms. Peter ate 65% of her bag of skittles and Mr. Thomas ate 0.85 of his bag. Ms. Cassie ate ⅘ of her bag. Who ate the most? Explain how you know.
2. Write in order from least to greatest
30%, 23%, ⅕, 0.18, 2/9, 0.25
Answer:
0.18, 2/9, 23%, 0.25, 30%
Step-by-step explanation:
when f(x)=5x^2+x+4, evaluate f(-1)
Answer: The value of f(-1) is equal to 5(-1)^2 + (-1) + 4 = -5 + (-1) + 4 = -2
Step-by-step explanation:
To evaluate f(-1), we substitute -1 for x in the function f(x)=5x^2+x+4. This gives us f(-1)=5(-1)^2+(-1)+4. We simplify this by applying the exponent first, so (-1)^2=1. Then we substitute the result in the function, which gives us f(-1)=5(1)+(-1)+4. Now we can simplify it by adding and subtracting the values which gives us f(-1)=5+(-1)+4=8.
14.6/9 rounded to nearest whole number
Answer:
15 x 9 is equal to 14.6/9 nearest whole number
Step-by-step explanation:
Can you find the slope-intercept equation of each line and type the correct code? Please remember to type in ALL CAPS with no spaces.
Answer:
45-36=9x+√89+48x+7=0**≈≈1«»›8›√√›√--»46971»7
The sales of a certain product after an initial release can be found by the equation s= 12/4 +10, where s represents the total sales in thousands) and t represents the time in weeks after release. Make a table of values, graph the function and use the graph to estimate the sales 12 weeks after release.
In 33 weeks, they will have sold 150 units.
What is sales of products?
Selling a good or service in exchange for cash, a benefit, or some other kind of payment is known as product sales. When a customer purchases a good or service that will meet their needs, the transaction is known as a product sale. The quantity of goods sold during a specific time period aids in calculating product sales.
Step by Step Explaination:
Equation that models the sales of the product
The equation that models the sales of the product after an initial release exists:
s = 12√4 + 10
where s denotes the total sales (in thousands)
t denotes the time in weeks
you want to replace the s with 150 in the equation and then just solve
for t.
150 = 12√4t + 10
Subtract 10 from both sides
150 - 10 = 12√4t + 10
140 = 12√4t
Divide both sides by 12
11.66= √4t
Taking square root on both sides of the equation.
135.95 = 4t
Now divide both sides by 4
33.98 = t (approximately).
so in 33 weeks, they will have sold 150 units.
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What is it called when two segments have the same length?
When the two segments have the equal lengths then they are called congruent segments.
As given in the question,
Let us consider two different segments named AB and CD.
Length of the segment AB is equal to 5 cm __(1)
Length of the segment CD is equal to ( 6 - 1 ) cm.
⇒Length of CD = 5cm __ (2)
Length of segment AB is equal to the length of segment CD.
⇒ measure of (AB ) = measure of (CD)
This implies that the two segment with the same length are called congruent to each other.
Therefore, the segment having equal length are called congruent segments.
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The problem solved plan identified steps to organize your information which of the following answers choose are included in the steps organize your information
Note that the answer choice that are included in the steps to organize information are:
Organize the problem and find the question. (Option A)Write the facts, organize your thoughts and define your strategy. (Option C)Organize the steps and underline the question. (Option D)What is the rationale for the above response?A. Organizing the problem and determining the question is an important step in problem-solving because it allows you to comprehend the problem and what you need to discover.
C. Writing down the facts, organizing your thoughts, and defining your strategy is also an important step in problem-solving because it allows you to see what information you have and how you will approach the problem.
D. Organizing the steps and underlining the question is also important in problem-solving because it allows you to have a clear understanding of the various steps you must take and the question you must answer.
B. Although it is not included in the steps to organize your information, solving the problem and changing your strategy if necessary is an important step.
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Full Question:
The problem-solving plan identifies steps to organize your information. Which of the following answer choices are included in the steps to organize your information?
A. Organize the problem and find the question.
B. Solve the problem and change your strategy if necessary.
C. Write the facts, organize your thoughts and define your strategy.
D. Organize the steps and underline the question.
What is 9 + 10 i need to know???
Answer:
9 + 10 is 19
Step-by-step explanation
To find this count up from 10 9 times.
Answer:
Step-by-step explanation:
19...
we add on 9 to 10, making 19
Select “Rational” or “Irrational” to classify each number
Answer: rational, irrational, irrational
Step-by-step explanation:
An easy way to figure out if a number is rational is by checking to see if it can be written as a fraction. 0.44 can be written as a fraction: 44/100
Any square root that is not a perfect root is an irrational number. An irrational number can be a decimal that is non-terminating (it doesn't end) and a non-repeating decimal (it doesn't repeat).
what should you do next? what should you do next? come up with a theory to explain why movie preference is related to birth week. perform experiments to test your hypothesis. propose several alternative hypotheses. refine your hypothesis.
To develop a theory on the relationship between birth week and movie preference, the next steps would be to:
Conduct research to gather existing information on the topic and identify any potential gaps in knowledge.Develop a hypothesis that explains the potential relationship between birth week and movie preference.Design and conduct experiments to verify the hypothesis.Analyze the results of the experiments and use them to support or refute the hypothesis.Propose alternative hypotheses and design additional experiments to test them.Refine the original hypothesis based on the results of the experiments and continue to test it through further research.To know more about hypothesis refer to:
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There are 10 cards placed face down on a table. Four of the cards have stars on them and the other 6 are blank. You win if you draw a card with a star. How can the game be made fair? MULTIPLE CHOICE
The game is already fair.
Add 2 cards with stars.
Add a star to 1 of the blank cards.
Take away 2 blank cards.
If you win if you draw a card with a star, the way the game can be made fair is; C: Add a star to 1 of the blank cards.
How to analyze fair chance?
A basic game of chance is one that considered fair if every player has an equal probability of winning. A choice is deemed to be fair if all possible options have an equal probability of being chosen.
The first one is out of the equation to win because it isn't fair.
We want a 50/50 chance to win. Thus, If we add 2 cards with stars, then the chance of winning increases by a large portion much. However, If we take away 2 blank cards, it would be fair, but we want to still have 10 cards. Thus, the only choice left is to add a star to 1 of the blank cards.
Therefore we can conclude that the way the given game can be made fair is given by the option C to add a star.
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Is there any number that can be expressed as a ratio of two integers?
The numbers that can be expressed as a ratio of two integers are called as Rational Numbers , and one such example is [tex]\frac{2}{3}[/tex] .
What are Rational Numbers ?
The Rational Numbers are defined as the ratio of two integers where the denominator is non zero .
Mathematically , the rational numbers are the numbers that can be expressed in the form of [tex]\frac{p}{q}[/tex] , where [tex]q\neq 0[/tex] .
So , We can say that any fraction that fits under category of rational numbers, where denominator and numerator are integers and denominator is not equal to zero.
Few Examples of that can expressed as ratio of integers are :
(i) [tex]\frac{1}{2}[/tex] , here 1 and 2 both are integers , and [tex]2\neq 0[/tex] .
(ii) [tex]\frac{5}{6}[/tex] , here 5 and 6 both are integers , and [tex]6\neq 0[/tex] .
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What is the area of a circle with a diameter of 28 inches? A. 196 sq cm B. 42 sq cm C. 784 sq cm D. 28 sq cm
Answer:
c
Step-by-step explanation:
28 time it's self is 784
Answer:
Step-by-step explanation:
convert in to cm: (28 in)(2.54 cm/in) = 71.12 cm
radius = r = D/2 = 71.12/2 = 35.56 cm
A-circle = πr² = π(35.56)² = 3973 cm² none of the answers shown are correct!
UNLESS is the diameter 28 cm??
If so, the solution is:
A = π(28/2)² = 615.7 cm² again, none of the answers shown are correct!
You may want to double check your question
7. A toy is made up of cylindrical rings stacked
on a base, as shown in the diagram. The
diameter of Ring 1 is 87% of the diameter of the
base. For Ring 2 through Ring 7, the diameter
of each ring is 87% of the diameter of the ring
directly below it.
3
6
2
Base
The diameter of the base is 5 inches. Which
function can be used to find the diameter in
inches of Ringr, where1≤r≤7 ?
F d(r) = 5(0.87)
G_d(r) = 0.87(r-5)
H_ d(r) = 0.87(5)
J d(r) = 5(r-0.87)
Diameter is the length of the line segment that divides a circle in half, and circumference is the length of one complete "lap" around a circle.
What does diameter mean?(The length of) a straight line that passes through the middle of a round item or form and ends at a point on the opposite edge The diameter is twice as big as the radius. The pond has a six-foot diameter.Diameter is the length of the line segment that divides a circle in half, and circumference is the length of one complete "lap" around a circle. Consider the diameter and circumference of a circle as the inner and outer measurements, respectively.Diameter is the length of the line segment that divides a circle in half, and circumference is the length of one complete "lap" around a circle.To learn more about Diameter refer to:
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How many powers of 7 are in 10?
There are two powers of 7 in 10: 7^1 and 7^0. There are two different powers of 7 in 10: 7 to the power of 1 (7^1) and 7 to the power of 0 (7^0). 7^1 is equal to 7 and 7^0 is equal to 1.
1) 7^1 = 7
2) 7^0 = 1
7^1 and 7^0 are the two powers of 7 in 10.
There are two different powers of 7 in 10: 7 to the power of 1 (7^1) and 7 to the power of 0 (7^0). 7^1 is equal to 7 and 7^0 is equal to 1. These two powers together make up 10, which is the result of 7^1 multiplied by 7^0. By finding the two powers of 7 that are present in 10, we can quickly determine the answer to this question.
There are two powers of 7 in 10: 7^1 and 7^0. There are two different powers of 7 in 10: 7 to the power of 1 (7^1) and 7 to the power of 0 (7^0). 7^1 is equal to 7 and 7^0 is equal to 1.
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