Answer -
\(50\div2\cdot\frac{7}{3}-1\)
Which equals...
\(\frac{172}{3}\)
or...
\(57.33333333\)
Hope this helps :')
best estimate for the product of 324.739 × 231,757.22?
Responses
73,600
73,600
73,600,000
73,600,000
736,000
736,000
7,360,000
Answer:
estimate the product of 324.739 and 231,757.22, we can round these numbers to 325 and 231,757, respectively. Then, we can use the approximation:
325 x 231,757 ≈ 75,346,925
So the best estimate for the product of 324.739 × 231,757.22 is 75,346,925. However, please note that this is an approximation and the actual product may be slightly different.
How many degrees is the angle below? Do not include units in your answer.
130 170 160 150 140 130 1
-90
30 40 50 60 70 80
Answer here
100 110 120 130 140 150
80 70 60 50 40 30
20
10
0
The angle measure from the ruler in this problem is given as follows:
63º.
How to obtain the angle measure?The angle measure in the context of this problem is obtained using the ruler, which gives an angle measure between 0º and 180º, according to the arrow of the ruler.
The ruler is positioned between 60 and 70, three dots of the way, hence we apply the proportion to obtain the angle measure as follows:
60 + 3/10(70 - 60) = 63º.
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Please help me please please
Answer:
g = 19.2
Step-by-step explanation:
cross multiply
8 × 12 = 96
5 × g = 5g
divide to get rid of 5
96 ÷ 5 = 19.2
Rylie paid $12 for two cans of racquetballs as shown in the tape diagram, where the green bars represent the amount she spent, and the blue bars represent the number of cans she bought. She needs to purchase three cans of racquetballs. How much will she pay?
Answer:
18$
Step-by-step explanation:
If Rylie paid 12$ for two cans, then divide twelve by two then you'll get 6$ so 6$ is one can so multiply six by three and you will get 18$ for three cans.
sorry if I'm wrong I'm trying to help.
The following table shows the number of candy bars bought at a local grocery store and the
total cost of the candy bars:
Candy Bars: 3, 5, 8, 12, 15, 20, 25
Total Cost: $6.65, $10.45, $16.15, $23.75, $29.45, $38.95, $48.45
If B represents the number of candy bars purchased and C represents the total cost of the candy bars, write the linear model that models the cost of any number of candy bars.
The linear model that represents the cost of any number of candy bars can be written as: C = $1.90B + $0.95
To write the linear model that models the cost of any number of candy bars, we need to find the equation of a line that best fits the given data points. We'll use the variables B for the number of candy bars purchased and C for the total cost of the candy bars.
Looking at the given data, we can see that there is a linear relationship between the number of candy bars and the total cost. As the number of candy bars increases, the total cost also increases.
To find the equation of the line, we need to determine the slope and the y-intercept. We can use the formula for the equation of a line: y = mx + b, where m is the slope and b is the y-intercept.
First, let's find the slope (m) using two points from the given data, for example, (3, $6.65) and (25, $48.45):
m = (C2 - C1) / (B2 - B1)
= ($48.45 - $6.65) / (25 - 3)
= $41.80 / 22
≈ $1.90
Now, let's find the y-intercept (b) using one of the data points, for example, (3, $6.65):
b = C - mB
= $6.65 - ($1.90 * 3)
= $6.65 - $5.70
≈ $0.95
Therefore, the linear model that represents the cost of any number of candy bars can be written as:
C = $1.90B + $0.95
This equation represents a linear relationship between the number of candy bars (B) and the total cost (C). For any given value of B, you can substitute it into the equation to find the corresponding estimated total cost of the candy bars.
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j divided by 9 is 5 , write an equation to represent the following statement
Answer:
The first answer is incorrect
Step-by-step explanation:
45 divided by 9 is 5 not 40
The equation that represents the statement is j / 9 = 5.
What is an Equation?An equation is a mathematical statement that is formed when two algebraic expressions are equated using an equal sign.
The statement j divided by 9 is 5 can be written in equation form as follows:
j / 9 = 5
j = 45
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A researcher has the following hypothesis: Playing Real Time Strategy games will increase a person’s reaction time to increase.
People who do not regularly play Real Time Strategy games were recruited for the study and their reaction time was recorded then they were required to play Real Time Strategy games for at least two hours a day for four weeks and their reaction times were tested again.
What would be the appropriate statistical test for this hypothesis?
Correlation
Paired T Test
Fisher's Exact Test
Independent Two Sample T Test
Independent One Sample T Test
Chi-Square
The appropriate statistical test for this hypothesis would be the Paired T-Test.
The Paired T-Test is used when comparing the means of two related groups or when comparing the same group before and after an intervention or treatment. In this scenario, the researcher is interested in comparing the reaction times of individuals before and after they started playing Real Time Strategy games.
The study design involves measuring the reaction times of individuals before they start playing Real Time Strategy games and then measuring their reaction times again after four weeks of playing these games. Since the same group of individuals is being tested before and after the intervention, the data is paired or dependent.
The Paired T-Test allows us to assess whether there is a significant difference between the mean reaction times before and after playing Real Time Strategy games. By comparing the paired observations, we can determine if there is a statistically significant increase in reaction time after playing these games.
Therefore, the appropriate statistical test for this hypothesis would be the Paired T-Test.
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find the area of the composite shapes
pls help me i need it urgently!!!
Answer:
above is the solution to the question
Five groups at summer camp have a total of 27 boxes of popsicles to share. How many boxes will each group receive?
Answer:
5.5
Step-by-step explanation:
You divide 27 by 5.
Answer:
Each group will get 5 and 2/5ths of a box.
Step-by-step explanation:
Divide 27 by 5.
The nearest whole number is 5 with a remainder of 2.
Divide these 2 boxes with five groups by making that into a fraction, meaning 2/5ths.
I WILL GIVE BRAINLIEST what comes next butter-
Answer: Eggs? Flower? Cake?
Step-by-step explanation:
Answer:
Bread, toast, bagel, crousaint, pasta, etc.
Step-by-step explanation:
Thanks for the points.
7x+21
need the answer for this and was wondering if anyone could help???
Thanks :)
Answer:
x = -3
Step-by-step explanation:
7x+21=0
-21 on both sides
7x = -21
divide 7 on both sides
x = -3
Answer:
That's basically the answer
Step-by-step explanation:
if you meant to say 7x=21 then the answer is
x=3
- x + y = - 3
y=x-3
Substitution method
Substitution is the process of substituting numbers for letters in order to calculate the value of an expression.
What exactly is the Substitution method?The substitution method is an algebraic method for solving simultaneous linear equations. As the title suggests, the value of one variable from one equation is substituted in the other equation.The substitution method starts by determining the value of any one of the factors in one equation in terms of the other variable.For example, if we have two equations, x+y=7 and x-y=8, we can deduce that x=7-y from the first equation. This is the initial step in using the substitution method.The substitution method involves substituting the value of a variable from one equation into the second.Therefore,
x=-1 and y=-4
Equivalent two equal expressions is another method that will work well in this case. This is a variation on substitution.
Transpose both equations to give y=
equ 1. y = x-3 and equ 2. y=7 x+3
Note that y=y
7 x+3=x-3
6 x =-6
x =-1
Equ 1. y=-1-3 ⇒ y=-4
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statement and reason
Answer:
What is statement and reason in geometry?
The order of the statements in the proof is not always fixed, but make sure the order makes logical sense. Reasons will be definitions, postulates, properties and previously proven theorems. “Given” is only used as a reason if the information in the statement column was told in the problem.
Step-by-step explanation:
evaluate the expression for the given variable
-4p+1 when p=2
34x78 use another method besides the traditional algorithm?
Answer:
2652 is the correct answer
A video game store sold 135 copies of a new release game in June. In July, they sold 108 copies of the same game. What is the percent decrease in the sales of this game from June to July?
percent decrease: decrease/old price * 100%
Subtract:
135 - 108 = 27
Fill into formula,
= 27/135 * 100%
= 1/5 * 100%
= 0.20 * 100%
= 20%
therefore, the percent decrease is 20%!
the original price of a shirt was AED 175. A clothing store decides to sell all shirts at a 40% discount. what is the selling price of a shirt?
\( \huge\hookrightarrow \: \mathfrak{Answer }\)
Original price = 175
Discount = 40%
Selling price :
\(175 - \bigg(\dfrac{40}{100} \times 175 \bigg)\)\(175 - \bigg ( \dfrac{40 \times 7}{4} \bigg )\)\(175 - ( 10 \times 7 )\)\(175 - 70\)\(105\)Selling price = AED 105
Can anybody find the measure of angle LMP as well as the measure of arc MN? Im lost...
click on image for full picture
Answer:
96 degrees
Step-by-step explanation:
When finding the arc from a non central angle, multiply it by 2
Somebody please help.
Select the correct answer.
What is the exact value of cos 105°?
Check the picture below.
\(\textit{Sum and Difference Identities} \\\\ cos(\alpha + \beta)= cos(\alpha)cos(\beta)- sin(\alpha)sin(\beta) \\\\[-0.35em] ~\dotfill\\\\ cos(105^o)\implies cos(60^o+45^o)\implies cos(60^o)\cdot cos(45^o)-sin(60^o)\cdot sin(45^o) \\\\\\ \cfrac{1}{2}\cdot \cfrac{\sqrt{2}}{2}~~ - ~~\cfrac{\sqrt{3}}{2}\cdot \cfrac{\sqrt{2}}{2}\implies \cfrac{\sqrt{2}}{4}~~ - ~~\cfrac{\sqrt{6}}{4}\implies {\Large \begin{array}{llll} \cfrac{\sqrt{2}-\sqrt{6}}{4} \end{array}}\)
how many even numbers of 3 digits can be formed of the digits 1,2,3,4,5,6 when repitition of digits is allowed
Answer:
To find the number of three-digit numbers that can be formed using the digits 1, 2, 3, 4, 5, and 6, with repetition allowed, we can use the formula for permutations:
Step-by-step explanation:
Number of permutations = (number of choices for the first digit) x (number of choices for the second digit) x (number of choices for the third digit)
In this case, we have 6 choices for each digit, since we are allowed to repeat the digits. Using the formula, we get:
Number of permutations = 6 x 6 x 6 = 216
Therefore, there are a total of 216 three-digit numbers that can be formed using the digits 1, 2, 3, 4, 5, and 6, with repetition allowed.
However, not all of these will be even. For a number to be even, the last digit must be even, so the last digit can only be 2, 4, or 6. This means that there are 3 choices for the last digit.
Therefore, the total number of even 3-digit numbers that can be formed using the digits 1, 2, 3, 4, 5, and 6 is 366=108.
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a cylinder has a radius of 3 cm and a height of 8 cm. what is the longest segment, in centimeters, that would fit inside the cylinder?
The longest segment that would fit inside the cylinder is approximately 9.06 centimeters.
The longest segment that would fit inside the cylinder would be the diagonal of the cylinder's base, which is equal to the diameter of the base. The diameter of the base is equal to twice the radius, so it is 6 cm. Using the Pythagorean theorem, we can find the length of the diagonal:
\(diagonal^2 = radius^2 + height^2 \\diagonal^2 = 3^2 + 8^2 \\diagonal^2 = 9 + 64 \\diagonal^2 = 73 \\diagonal = sqrt(73)\)
Therefore, the longest segment that would fit inside the cylinder is approximately 8.54 cm (rounded to the nearest hundredth).
To find the longest segment that would fit inside the cylinder, we need to calculate the length of the space diagonal of the cylinder. This is the distance between two opposite corners of the cylinder, passing through the center. We can use the Pythagorean theorem in 3D for this calculation.
The terms we'll use are:
- Radius (r): 3 cm
- Height (h): 8 cm
To find the space diagonal (d), we can use the following formula:
\(d = \sqrt{r^2 + r^2 + h^2}\)
Plug in the values:
\(d = \sqrt{((3 cm)^2 + (3 cm)^2 + (8 cm)^2)} d = \sqrt{(9 cm^2 + 9 cm^2 + 64 cm^2)} d = \sqrt{(82 cm^2)}\)
d ≈ 9.06 cm
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The longest segment that can fit inside the cylinder is. \($\sqrt{73}$ cm\).
The longest segment that can fit inside a cylinder is a diagonal that connects two opposite vertices of the cylinder.
The length of this diagonal by using the Pythagorean theorem.
Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle.
It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides.
This theorem can be written as an equation relating the lengths of the sides a, b and the hypotenuse c, often called the Pythagorean equation:[1]
\({\displaystyle a^{2}+b^{2}=c^{2}.}\)
The theorem is named for the Greek philosopher Pythagoras, born around 570 BC.
The theorem has been proven numerous times by many different methods – possibly the most for any mathematical theorem.
The proofs are diverse, including both geometric proofs and algebraic proofs, with some dating back thousands of years.
Consider a right triangle with legs equal to the radius.
\($r$\) and the height \($h$\) of the cylinder, and with the diagonal as the hypotenuse.
Then, by the Pythagorean theorem, the length of the diagonal is:
\($\sqrt{r^2 + h^2} = \sqrt{3^2 + 8^2} = \sqrt{73}$\)
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Question: What are all the values that a correlation r can possibly take? A. 0 ≤ r ≤ 1 B. r ≥0 C. -1 ≤ r ≤ 1 D. None of the above.
The correct answer is C. -1 ≤ r ≤ 1. The correlation coefficient, r, is a measure of the strength and direction of a linear relationship between two variables. It can take on any value between -1 and 1, inclusive.
A correlation coefficient of -1 indicates a perfect negative correlation, where as one variable increases, the other variable decreases in a perfectly linear fashion. A correlation coefficient of 0 indicates no linear relationship between the two variables. A correlation coefficient of 1 indicates a perfect positive correlation, where as one variable increases, the other variable increases in a perfectly linear fashion.
Therefore, statement A is not correct as it only includes the positive values of r. Statement B is not correct as it does not include negative values of r. Statement C is correct as it includes all possible values of r.
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Hannah is helping her younger brother learn to count money. She gave her brother a total of 20 coins nickels and pennies. Hannah’s brother said he counted $0.68. How can Hannah solve a system of equations to tell whether he counted the money correctly?
please help
Answer: Let x be the number of nickels, and y be the number of pennies. Then we can write two equations based on the given information:
The total number of coins is 20: x + y = 20
The total value of the coins is $0.68: 0.05x + 0.01y = 0.68
We can solve this system of equations using any method we like, such as substitution or elimination. Here, we will use the elimination method.
To eliminate y, we can multiply the first equation by 100 to get 100x + 100y = 2000, and then subtract the second equation from it:
100x + 100y - 5x - y = 2000 - 0.68
Simplifying, we get:
95x + 99y = 1932
Now we have one equation with only x and y. We can use this equation to solve for one variable in terms of the other. For example, we can solve for y:
y = (1932 - 95x) / 99
To check if the solution is valid, we need to make sure that x and y are both non-negative integers, since we are dealing with coins. We can start by checking if x is an integer between 0 and 20 (inclusive). We can use a loop in a programming language, or we can simply try each integer one by one. If x is an integer between 0 and 20, we can plug it into the equation for y and check if y is a non-negative integer. If we find a pair of x and y that satisfy all the conditions, then Hannah's brother counted the money correctly. If we cannot find such a pair, then he made an error.
Alternatively, we can use the fact that y must be divisible by 1 cent (since it represents the number of pennies), and check if the expression (1932 - 95x) is divisible by 99 for any integer x between 0 and 20 (inclusive). If it is divisible, then the quotient is the number of pennies, and we can check if it is a non-negative integer. If it is not divisible for any x, then there is no solution.
Step-by-step explanation:
In which interval is the radical function f of x is equal to the square root of the quantity x squared plus 2 times x minus 15 end quantity increasing?
[3, [infinity])
(4, [infinity])
[–5, 3]
(–[infinity], –5] ∪ [3, [infinity])
The correct answer is, [–5, 3]. In the other words, the interval in which the function \(f(x) = \sqrt{x^2 + 2x - 15}\) is increasing is [–5, 3].
To determine the interval in which the radical function \(f(x) = \sqrt{x^2 + 2x - 15}\) is increasing, we need to find the interval(s) where the derivative of the function is positive.
Let's first find the derivative of f(x):
\(f'(x) = (1/2) * (x^2 + 2x - 15)^(-1/2) * (2x + 2)\)
To find where f'(x) > 0, we set f'(x) = 0 and solve for x:
\((1/2) * (x^2 + 2x - 15)^(-1/2) * (2x + 2) = 0\)
Since the derivative is never equal to zero (since the denominator (x^2 + 2x - 15)^(-1/2) is never equal to zero), there are no critical points.
To determine the intervals of increase, we can evaluate f'(x) at test points in each interval. We'll consider the intervals defined by the given answer choices:
[3, ∞):
Choose a test point x > 3, let's say x = 4.
Evaluate \(f'(4) = (1/2) * (4^2 + 24 - 15)^{(-1/2)} * (24 + 2)\)
\(= (1/2) * (16 + 8 - 15)^{(-1/2)} * 10\)
\(= (1/2) * (9)^{(-1/2)} * 10\)
= (1/2) * (1/3) * 10
= 5/3
Since f'(4) > 0, the function is increasing in the interval [3, ∞).
(4, ∞):
Choose a test point x > 4, let's say x = 5.
Evaluate f'(5) = (1/2) * (5^2 + 25 - 15)^(-1/2) * (25 + 2)
= (1/2) * (25 + 10 - 15)^(-1/2) * 12
= (1/2) * (20)^(-1/2) * 12
Since f'(5) = 0, the function is not increasing in the interval (4, ∞).
[–5, 3]:
Choose a test point x in the interval, let's say x = 0.
Evaluate \(f'(0) = (1/2) * (0^2 + 20 - 15)^{(-1/2)} * (20 + 2)\)
\(= (1/2) * (-15)^{-1/2} * 2\)
\(= (1/2) * (1/\sqrt{15}) * 2\)
\(= 1/\sqrt{15}\)
Since f'(0) > 0, the function is increasing in the interval [–5, 3].
(–∞, –5] ∪ [3, ∞):
Since we have already determined the function is increasing in [–5, 3] and [3, ∞), this interval is valid.
Therefore, the correct answer is, [–5, 3]. In the other words, the interval in which the function \(f(x) = \sqrt{x^2 + 2x - 15}\) is increasing is [–5, 3].
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EXTRA POINTS IF CORRECT!!!!!!!!
write the perimeter of the triangle in simplest form 2x-6 x+8 3x+1
I got 6x+3..................................................
30 people travelled from London to Manchester for a conference. Of these people 15 travelled by train 9 travelled by plane some travelled by both train and plane 12 did not travel by either train or plane Three people are chosen at random from those who travelled by plane. Find the probability that exactly two of these people also travelled by train.
The probability that exactly two of the three people selected also travel by train is 4/9
What is the probability of an event occurring?The probability of an event occurring is specified by the ratio of the number of required outcomes to the number of possible outcomes.
The number of people that travelled from London to Manchester for the conference = 30
Number of people that traveled by train = 15
Number of people that travelled by plane = 9
Number of people that did not travel by travel by either train or plane = 12
Number of people chosen from those that traveled by plane = 3
The probability that two of those selected also traveled by train can be found as follows;
The number of people that traveled by either train of plane = 30 - 12 = 18
The number of people that traveled by plane and train = 15 + 9 - 18 = 6
The binomial probability distribution formula that can be used to find the probability of an event, p, occurring exactly r times is as follows;
P(p) = \(_nC_r\cdot p^r\cdot q^{n-r}\)
Where;
n = Number of people chosen = 3
r = Number of people chosen that also traveled by train = 2
p = Probability that a person chosen also traveled by train = 6/9 = 2/3
q = Probability that a person chosen did not travel by train = 3/9 = 1/3
Therefore;
\(P = _3C_2\times \left(\dfrac{2}{3}\right) ^2\times \left(\dfrac{1}{3} \right)^{3-2} = \dfrac{4}{9}\)
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WHAT X !!!!! PLEASE HELP !!!
3x-5 when x=3 work and answer
Answer:
when x =3 the answer is 4
Step-by-step explanation:
3(3)-5
3x3=9
9-5=4
Step-by-step explanation:
3×3=9
9+-5=4
I believe it's 4
Andy estimated that he would need 73 feet of lumber for a tree house project. He later found that the actual amount of lumber needed was 62 feet. What was the percent error of Andy's estimation?
Answer:
17.74%
Step-by-step explanation:
The formula for percent error is given as:
|Estimated value - Actual value|/Actual value × 100
From the above question:
Estimated value = 73 feet
Actual value = 62 feet
Hence,
Percent error = |73 - 62|/62 × 100
= 11/62 × 100
= 17.741935484%
Approximately , percent error = 17.74%
Therefore, the percent error of Andy's estimation is 17.74%
Find the Dy/Dx of y=7/x using first principle
By using first principle, the value of Dy/Dx is,
⇒ Dy/Dx = - 7 / x²
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expression is,
⇒ y = 7 / x
Now, Differentiate the function with respect to x, we get;
⇒ y = 7 / x
⇒ Dy/ Dx = D / Dx (7 / x)
= 7 D/Dx (1/x)
= 7 (- 1 × x⁻¹⁻¹ )
= 7 (- x⁻²)
= - 7 / x²
⇒ Dy/Dx = - 7 / x²
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