The expressions that are equivalent to the one given, from the options, include:
A. 2 x 4 + (2 x 9) - (2 x 3)How to find the equivalent expressions ?Given expression: 2 x (4+9)-(3 x 2)
= 2 x 13 - 6
= 26 - 6
= 20
Now, let's simplify the options:
A. 2 x 4 + (2 x 9) - (2 x 3)
= 8 + 18 - 6
= 26 - 6
= 20 (equivalent)
2 x 4 + 9 - 3 x 2
= 8 + 9 - 6
= 17 - 6
= 11 (Not equivalent)
(2 + 4) x (2 + 9) - 3 x 2
= 6 x 11 - 6
= 66 - 6
= 60 (Not equivalent)
(3 x 2) - (2 x 4) + (2 x 9)
= 6 - 8 + 18
= -2 + 18
= 16 (Not equivalent)
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what is 5 cm in mm. i need a simple answer. NO LINKS
50 millimeters
keystrokes
A researcher testing a hypothesis that the population mean is 25 takes a sample of size 36 and obtains a sample mean of 23 with an estimated standard error of 4. What is the observed value of the test statistic
Answer:
The test statistic is 23
Step-by-step explanation:
Best way to understand this is to think of a sample and it's purpose;
You take a sample to get information that can be extrapolated to apply to the whole population;
So, for example, you have a factory making light bulbs, and you want to find out how long they last;
You would take a number of light bulbs from the production line, i.e. a sample, and test these;
It would be impossible to test every light bulb as this would take too long and there would be none left unused to sell, i.e. it would not be feasible or viable to do;
You would then find a mean of these times from the sample, and then extrapolate and assume it to be the duration of any light bulb coming off the production line;
The sample is the handful of light bulbs chosen to test;
The test statistic refers to the quantity or value, calculated from the sample data, this would be the mean light bulb duration in the light bulbs example;
Similar and yet different to a test statistic, a population parameter refers to a quantity or value calculated from population data;
A population refers to all members of a particular group of objects/items, so in the example, it would be all the light bulbs produced;
The population parameter would refer to the mean calculated based on data from the population (i.e. all the light bulbs produced);
Realistically, it is impossible to determine a population since it would be unviable in the practically all cases, as we can see in the example;
This value is almost always theoretical and would be assumed from a test statistic in any real scenario.
? Question
Drag the tiles to the correct boxes to complete the pairs.
Solve each equation using the square root property. Then, match the solutions to the equatio
Tiles
Help please
The solutions for the given equations are x = 9i , -9i , x = 2i,-2i ,
x = \(\sqrt{13}\) , - \(\sqrt{13}\) , x = \(\sqrt{14}\)i , - \(\sqrt{14}\)i .
Given equations ,
\(x^{2}\) + 81 = 0 ,\(x^{2}\)-22 = -26 , 3\(x^{2}\)-18=21 ,2\(x^{2}\) +15 = -13
What is Quadratic equation ?
quadratic equation can be defined as the equation which is in the form of a\(x^{2}\)+bx + c = 0 .
where a,b,c are constants .
By solving we get ,
\(x^{2}\) +81 = 0
\(x^{2}\) = -81
x = 9i , -9i
\(x^{2}\) - 22 = -26
\(x^{2}\) = -26 + 22
\(x^{2}\) = -4
x = 2i,-2i
3\(x^{2}\) - 18 = 21
3\(x^{2}\) = 18+21
3\(x^{2}\) = 39
\(x^{2}\) = 13
x = \(\sqrt{13}\) , - \(\sqrt{13}\)
2\(x^{2}\) +15 = -13
2\(x^{2}\) = -13-15
2\(x^{2}\) = -28
\(x^{2}\) = -14
x = \(\sqrt{14}\)i , - \(\sqrt{14}\)i
Hence the solutions for the given equations are x = 9i , -9i , x = 2i,-2i ,
x = \(\sqrt{13}\) , - \(\sqrt{13}\) , x = \(\sqrt{14}\)i , - \(\sqrt{14}\)i .
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tammy purchased a prepaid phone card for $20. long distance calls cost 24 cents a minute using this card. tammy used her card only once to make a long distance call. if the remaining credit on her card is $12.32. how many minutes did her call last?
Answer:
About 14 - 15 Minutes!
Step-by-step explanation:
24 cents x $12.32 = 295.68 (Multiplication)
295.68/20.00 (Division.)
14.784 (Answer and Estimated.)
Noah is painting boxes that are all the same size. He used 2 ounces of paint to cover 1 2/3 boxes. How many ounces of paint are needed to cover 1 box? Draw a diagram to represent the situation, then find the answer.
Answer:
2:1 2/3
?oz:1/3. How many oz does it take to cover 1/3 of the box?
0.4:1/3. 0.4oz is needed to cover 1/3 of the box.
1/3*3=1. 0.4*3=1.2 *= multiplication
I believe the answer Is: 1.2oz is needed to cover 1 box. The information here should help you the diagram.
Noah needs 1.2 ounces of paint to cover 1 box.
Given that Noah is painting boxes that are all the same size, and I have used 2 ounces of paint to cover 1 2/3 boxes, to determine how many ounces of paint are needed to cover 1 box, the following calculation must be performed:
1.666 = 2 1 = X 2 / 1,666 = X 1.2 = X
Therefore, Noah needs 1.2 ounces of paint to cover 1 box.
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please help me answer this question thank you
Answer:
A
Step-by-step explanation:
What is the value of the coins?
Answer:
220 cents, $2.20
Step-by-step explanation:
Count the amount of QUARTERS there are.
7 quarters.
The next coin in the photo is a dime.
4 dimes.
The next coin in the photo is a penny.
5 pennies.
Quarters are worth 25 cents, dimes are worth 10 cents, and pennies are worth 1 cent.
25(7) + 4(10) + 5(1) = v (the total value)
25 * 7 = 175 cents
4 * 10 = 40 cents
5 * 1 = 5 cents
175 + 40 + 5 = v
175 + 40 = 215 cents
215 + 5 = 220 cents
The value of all of those coins is 220 cents, or $2.20.
Evaluate for A(12). Round your answer to the nearest hundredth.
The value the function A(12) is 2960.94
How to evaluate the function?From the question, we have the following function definition that can be used in our computation:
A(t) = 710e⁰°¹¹⁹⁺
To calculate the function A(12), we set t to 12
i.e. calculate A(t) when t = 12
This equation becomes
A(12) = 710e⁰°¹¹⁹ˣ¹²
Evaluate the products
A(12) = 710e¹°⁴²⁸
Evaluate the exponents
A(12) = 2960.94
Hence, the solution is 2960.94
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hey. help pls and thank you
Need Help
Please Assist
Insert Parentheses to make the equality true. 1+2x3+4x5=29
Answer:
((1+2)x3) + (4x5) = 29
Step-by-step explanation:
Since 4x5 = 20 and 3x3 = 9, and 9 + 20 = 29, we put parenthesis around 1+2,
we get,
((1+2)x3) + (4x5) = 29
This is true because,
(3x3) + (4x5) = 29
(9) + (20) = 29
29 = 29
Suppose you just purchased a digital music player and have put 14 tracks on it. After listening to them you decide that you like 4 of the songs. With the random feature on your player, each of the 14 songs is played once in random order. Find the probability that among the first two songs played
The probability that among the first two songs played, exactly 1 of the 4 songs you like is played is 0.452 or 45.2%.
Define probabilityProbability is a measure of the likelihood of an event occurring. It is a numerical value between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
There are 4 songs that you like out of the 14 total songs, so the probability of selecting a song that you like on the first draw is 4/14.
On the second draw, the probability of selecting a song that you like is 3/13, since there are now 3 songs that you like out of the remaining 13 songs.
The probability of selecting exactly 1 of the 4 songs you like in the first two draws is given by:
P(exactly 1 like in first two draws) = (4/14) ×(10/13) + (10/14) × (4/13) = 0.452
Therefore, the probability that among the first two songs played, exactly 1 of the 4 songs you like is played is approximately 0.452 or 45.2%.
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In the past few years, many small businesses have been faced with difficulty keeping their doors open, and in many cases large corporations with cash on hand have come in to take over the companies and their real estate. In such case, a large restaurant chain purchased a small corner tavern with plans to use the name to build a local franchise. The cost of buying the franchise naming rights was four times the cost of buying the physical property. If the total purchase price was $1,250,000, how much did the restaurant chain pay for each individual element of the sale ( naming rights and physical property)?
The restaurant chain paid $625,000 for the physical property and $2,500,000 for the franchise naming rights, for a total purchase price of $1,250,000.
What is sale?Sale refers to the transfer of ownership of goods or services from one person to another in exchange for money or other consideration.
The total purchase price of the franchise naming rights and physical property was $1,250,000.
To calculate the amount paid for each individual element of the sale, the total purchase price must be divided by the two elements.
The total purchase price of $1,250,000 divided by two elements equals $625,000.
This means that the restaurant chain paid $625,000 for the franchise naming rights and $625,000 for the physical property.
The amount of money paid for the franchise naming rights (four times the cost of buying the physical property) can be calculated by multiplying the cost of the physical property, which is
$625,000/4 .
When the cost of the physical property is multiplied by four, the result is $2,500,000.
This means that the restaurant chain paid $2,500,000 for the franchise naming rights.
In summary, the restaurant chain paid $625,000 for the physical property and $2,500,000 for the franchise naming rights, for a total purchase price of $1,250,000.
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12m = 84.72
I’m confused
Simplifying
12m = 84.72
Solving
12m = 84.72
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Divide each side by '12'.
m = 7.06
Simplifying
m = 7.06
Five chicken nuggets have 180 calories. How many calories are in 7 chicken nuggets?
0 36 calories
0 252 calories
0 900 calories
O 1, 260 calories
Answer:
The correct answers 252 calories
Step-by-step explanation:
How I figured it out was by dividing 180 by 5, which gave me 36. Then 36(7) which equaled out to be 252.
The equation of the parabola y equals 2 x squared minus 8 x plus 13 in vertex form is ______________.
The equation of the parabola y = 2x² - 8x + 13 in vertex form is y = 2(x - 2)² + 5.
What is equation?An equation is a formula that links two statements and uses the equals sign (=) to indicate that the statements are equivalent. A mathematical statement proving the equality of two algebraic expressions is called an equation. For instance, the equal sign divides the variables 3x + 5 and 14 in the equation 3x + 5 = 14. The relationship between the two sentences that appear on opposing sides of a letter is expressed mathematically. The single variable and the symbol are typically the same. Like 2x - 4 Equals 2, for example.
To write the equation of a parabola in vertex form, we use the formula:
y = a(x - h)² + k
Where (h,k) is the vertex of the parabola and "a" is a constant that determines the shape of the parabola. To convert the equation y = 2x² - 8x + 13 to vertex form, we need to complete the square.
First, let's factor out the leading coefficient of 2:
y = 2(x² - 4x) + 13
Next, we need to add and subtract a constant inside the parentheses to complete the square. To determine this constant, we take half of the coefficient of x, square it, and add it inside the parentheses:
y = 2(x² - 4x + 4 - 4) + 13
y = 2((x - 2)² - 4) + 13
Now we can simplify and write the equation in vertex form:
y = 2(x - 2)² - 8 + 13
y = 2(x - 2)² + 5
Therefore, the equation of the parabola y = 2x² - 8x + 13 in vertex form is y = 2(x - 2)² + 5.
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The complete question is:
The equation of the parabola is y = 2x² - 8x + 13. Its vertex form is ______________.
There are six pizzas there are 36 players on the team. If each member has one slice and each pizza has eight slices how much pizza in fraction form will be left over.
There will be 12 slices of pizza left over, which can be expressed as 3/2 or 1 1/2 slices in fraction form.
To find out how much pizza will be left over, we need to calculate the total number of slices available and subtract the number of slices consumed by the players.
Given that there are six pizzas and each pizza has eight slices, the total number of slices available is 6 pizzas * 8 slices/pizza = 48 slices.
Since there are 36 players on the team, and each player has one slice, the total number of slices consumed is 36 slices.
To determine the remaining slices, we subtract the consumed slices from the total available slices: 48 slices - 36 slices = 12 slices.
Therefore, there will be 12 slices of pizza left over.
To express this as a fraction, we can write it as 12/1, which simplifies to 12. This means there will be 12 whole slices of pizza left over.
If you would like to express it as a fraction in its simplest form, you can write it as 12/8. By dividing both the numerator and denominator by their greatest common divisor, which is 4, we get 3/2. So, in fraction form, there will be 3/2 or 1 1/2 slices of pizza left over.
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Solve for x leave your answer in simplest radical form
Answer:
X=11 trust me on my mom
Plz help I need help plz
9514 1404 393
Answer:
-3/20 mile
Step-by-step explanation:
1 minute is 1/5 of 5 minutes. Since the descent is at a constant rate, in 1 minute, the depth will be 1/5 of the final depth:
(1/5)(-3/4 mi) = -3/20 mi
The depth after 1 minute is -3/20 mile.
please, write an equation in point-slope form of the line through point J(4,1) with slope -4
Answer:
\(y=-4x+17\)
Step-by-step explanation:
slope (\(m\)) \(= -4\)
Using equation: \(y-y_1=m(x-x_1)\)
Substituting \(m=-4\) and point (4, 1): \(y-1=-4(x-4)\)
Therefore: \(y=-4x+17\)
Enter the exact values of the trigonometric ratios in the boxes.
sin 45°
cos 30
tan 60
=
The required value of trigonometric ratios is,
sin 45° = 1/\(\sqrt{2}\)
cos 30 = \(\sqrt{3}\)/2
tan 60 = 1/ √3
We know that,
Trigonometric ratios are based on the value of the ratio of sides of a right-angled triangle and contain the values of all trigonometric functions. The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.
Therefore,
sin 45° = 1/\(\sqrt{2}\)
cos 30 = \(\sqrt{3}\)/2
tan 60 = 1/ √3
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how would you draw a distance vs time graph for this problem:
It is now 8:59 am, but when the bell rings at 9:00 am Suzette will be late
for Science class for the third time this week. She must get from one side
of the school to the other by hurrying down three different hallways. She
runs down the first hallway, a distance of 35.0 m, at a speed of 3.50 m/s.
The second hallway is filled with students, and she covers its 48.0 m
length at an average speed of 1.20 m/s. The final hallway is empty, and
Suzette spring its 60.0 m length at a speed of 5.00 m/s
a. Determine if Suzette makes it to class on time by finding
how many seconds she arrives before or after the bell.
To draw a distance vs time graph for this problem, we would plot the distance on the y-axis and time on the x-axis. We would start at time t = 0, which is 8:59 am, and plot the distance that Suzette has traveled up to that point.
How to do?
For the first hallway, Suzette runs 35.0 m at a speed of 3.50 m/s. This means she covers this distance in 10 seconds (35.0 m / 3.50 m/s). So at t = 10 seconds, we would plot a point on the graph at a distance of 35.0 m.
For the second hallway, Suzette covers 48.0 m at an average speed of 1.20 m/s. This means it takes her 40 seconds (48.0 m / 1.20 m/s) to cover this distance. So at t = 50 seconds, we would plot a point on the graph at a distance of 83.0 m (35.0 m + 48.0 m).
For the final hallway, Suzette covers 60.0 m at a speed of 5.00 m/s. This means she covers this distance in 12 seconds (60.0 m / 5.00 m/s). So at t = 62 seconds, we would plot a point on the graph at a distance of 143.0 m (35.0 m + 48.0 m + 60.0 m).
To determine if Suzette makes it to class on time, we need to find how many seconds she arrives before or after the bell, which rings at t = 60 seconds. Suzette arrives at t = 62 seconds, which means she is 2 seconds late for class.
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Chantal draws a polygon with seven congruent sides and angles. name Chantal Shape.Is the shape a regular polygon
A polygon with seven congruent sides and angles is called HEPTAGON. In this case
What is a polygon?A polygon is a two-dimensional closed figure with three vertices, three angles, and at least three straight sides. The words "Poly" and "gon" both mean many and angle, respectively. A triangle, for instance, has three vertices, three sides, and three angles. Therefore, it qualifies as a polygon.
Chantal "draws a polygon with seven congruent sides and angles," according to the statement. Heptagon is the name for a polygon with seven identical sides and angles. This polygon is a regular one because all of its sides and angles are equal. A regular polygon must have equal side lengths and angles by definition.
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PLEASE HELP AGAIN!! Max deposited $4,008 in a savings account with simple interest. Four years later, he had earned $641.28 in interest. What was the interest rate?
Answer:
4%
Step-by-step explanation:
For simple interest, the equation is I = PRT, where I is the interest, P is the principal/amount invested, R is the rate as a decimal, not percentage, and T is time in years.
641.28 = (4008)(r)(4)
641.28 = 16,032r
r = 0.04 = 4%
Factor the trinomial
3n²-8n+4
Answer:
(3n-2)(n-2)
Step-by-step explanation:
6
10
Each fraction as precent
Answer:
60%
Step-by-step explanation:
6/10=60%
Answer:
If you mean 6/10 then the answer would be 60%
Step-by-step explanation:
% means 100
So the denominator is 10, and we need it to be 100
To get to 100 from 10, you need to multiply. ( 10 x 10 = 100 )
What you do to the bottom, you have to do to the top. ( 6 x 10 = 60 )
That would get you 60/100, which equals 60%
Have a nice day!
15. Sensei's Judo Club has a competition for
the students. If you win a grappling match,
you are awarded 5 points. If you tie, you
are awarded 2 points. Jeremy grappled 15
times and his score was 48 points. How
many grapples did Jeremy win?
Answer:
6 grapples
Step-by-step explanation:
x = number of wins
y = number of ties
y = 15 - x
48 = 5x + 2y
48 = 5x + 2(15 - x)
48 = 5x + 30 - 2x
48 = 3x + 30
18 = 3x
x = 6
The number of grapples that Jeremy win will be 6.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
Sensei's Judo Club has a competition for the students.
Let x be the number of wins and y be the number of ties.
If you win a grappling match, you are awarded 5 points.
Then the equation will be
x + y = 15
y = 15 - x
If you tie, you are awarded 2 points.
Jeremy grappled 15 times and his score was 48 points.
Then the equation will be
5x + 2y = 48
Put the value of y in the above equation. Then we have
5x + 2(15 - x) = 48
5x + 30 - 2x = 48
3x = 18
x = 6
The number of grapples that Jeremy win will be 6.
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Which of the following best describe this graph?
skewed left
skewed right
uniform distribution
center near 5
center near 7
data spread from 3 to 9
does not have an outlier
The term that best describe this graph attached is
does not have an outlier
What is outlier?An outlier is a data point that significantly deviates from the general pattern or trend of a dataset. It is an observation that is noticeably different from other data points in terms of its magnitude or value.
Outliers can be either unusually high (positive outliers) or unusually low (negative outliers) compared to the rest of the data.
The graph is not exactly uniform even though it is not skewed
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Function A is a linear function. Some values are shown in the table. Function A x y −2 −7 1 8 5 28 8 43 Function B, represented by the equation below, is also a linear function. Function B y=4x+9 Which statements are true? Select the three true statements.
The true statements about the functions are
C. The y-intercepts of Function A is lesser
E. The rate of change are equal
How to determine the true statement about the functionsGiven that
Function B: y = 4x + 9
A linear equation is represented as
y = mx + c
Where
Rate of change = m
y-intercept = c
Using the above definition, we have the following summary for function B
Rate of change = 4 and y-intercept = 9
For function A (the table), we have
x y
1 2
3 10
Rate of change = (10 - 2)/(3 - 1)
Rate of change = 4
While the y-intercept is
y-intercept = 2 - 4
y-intercept = -2
So, we have
Function A Function B
Rate of change 4 4
y-intercept -2 9
By comparing the features, we have the following true statements
The y-intercept of Function A is less than the y-intercept of Function B.The rate of change of Function A is the same as the rate of change of Function B.Read more about linear relations at
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3. Find x and y of both triangles please!!!!
The values are 1) x = 6, y = 2√3 and 2) x = 49, y = 49√3.
Given are two right triangles we need to find the missing sides,
We will use Trigonometric ratios to find the same.
We know that,
Sin a = perpendicular / hypotenuse
Cos a = base / hypotenuse
Tan a = perpendicular / base
1) Sin 60° = x / 4√3
x = √3/2 × 4√3
x = 6
Cos 60° = y / 4√3
1/2 × 4√3 = y
y = 2√3
2) Cos 60° = x / 98
x = 1/2 × 98
x = 49
Sin 60° = y / 98
√3/2 = y / 98
y = 49√3
Hence the values are 1) x = 6, y = 2√3 and 2) x = 49, y = 49√3.
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