Answer:
16 and 13
Step-by-step explanation:
Let the second no is x
First no = x+3
Twice the first is nine less than three times the second.
We can write in the form of equation as follows :
2(x+2) = 3x-9
Solving brackets first
2x+4=3x-9
Taking like terms together
9+4=3x-2x
13=x
First no = x+3 = 13 + 3 = 16
So, first and second numbers are 16 and 13 respectively.
Which equation could generate the curve in the graph below?
Answer:
There is no graph
Step-by-step explanation:
nearest ten thousand to 92,987
Answer:
90,000
Step-by-step explanation:
2,987<5,000, so round down.
Find the sum of the polynomials (ax^2+2x-5) and (-2ax^2+a) and evaluate that sum when a=7 and x=-5
Answer:
29+3374=32483 that is the solution for the question
hope this helps <3
Please help me with this ASAP
Considering the function H(x) = −x + 6, which statement is true?
Responses
The output value of the function is 8 when the input value is -2.
The output value of the function is 8 when the input value is -2.
The output value of the function is 6 when the input value is x.
The output value of the function is 6 when the input value is x.
The output value of the function is 4 when the input value is -2.
The output value of the function is 4 when the input value is -2.
The output value of the function is 7 when the input value is 1.
Answer:
The output value of the function is 8 when the input value is -2.
Step-by-step explanation:
If you substitute the input value (-2) for x, you get the equation:
H(x) = -(-2) + 6
If you distribute the parentheses, you will get:
H(x) = 2 + 6
Since 2 plus 6 is 8, you will end up with:
H(x) = 8
This shows that the output is 8 when the input is -2, making the statement true.
Consider the following function call round(3.14159, 3) what is the return value? a.3.14159 b.3.141 c.3.14 d.3.1
The return value of the function call round(3.14159, 3) is c. 3.14. The round function rounds the first argument (3.14159) to the number of decimal places specified in the second argument (3). In this case, it rounds to 3.14.
The function call in your question is round(3.14159, 3). The "round" function takes two arguments: the number to be rounded and the number of decimal places to round to. In this case, the number to be rounded is 3.14159 and the desired decimal places are 3.
The return value is the result of the rounding operation. In this case, rounding 3.14159 to 3 decimal places gives us 3.142.
So, the correct answer is:
b. 3.142
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The numbers in any column, row or diagonal in
te gnd below multiply to give an answer of 1
Complete the grid
20
1
81/2
10
Answer:
1/10 ___ 5 ___ 2
20 ____ 1 ___ 1/20
1/2 ____1/5 ____ 10
Step-by-step explana
tion:
It is given that the product of row, column or diagonal values in the picture gives a value of 1.
Therefore, for the first point ; say x ;
x * 5 * 2 = 1
10x = 1
x = 1 / 10
Second point, say y ;
20 * 1 * y = 1
20y = 1
y = 1 / 20
Third point, say z ;
1/2 * z * 10 = 1
10/2 * z = 1
5z = 1
z = 1/5
The function h defined by h(t)=(-4.9t + 29.4)(t+2) models the height in meters, of an object t seconds after it is launched. When will the object hit the ground?
Answer:
The time the object will hit the ground is 2 s.
Step-by-step explanation:
Given;
h(t) = (-4.9t + 29.4)(t + 2)
Open the bracket;
h(t) = -4.9t² + 29.4t -9.8t + 58.8
h(t) = -4.9t² + 19.6t + 58.8
When the object hit the ground, the final velocity will be zero;
\(v = \frac{dh}{dt} = 0 \\\\\frac{dh}{dt} = -9.8t + 19.6 = 0\\\\9.8t = 19.6\\\\t = \frac{19.6}{9.8} \\\\t = 2 \ s\)
Therefore, the time the object will hit the ground is 2 s.
a box plot graphically shows the 10th and 90th percentiles. True/False
The statement that a box plot graphically shows the 10th and 90th percentiles is False.
A box plot is a graphical representation of a data set that displays key summary statistics, such as the median, quartiles, and potential outliers. It is also known as a box-and-whisker plot. The statement that a box plot graphically shows the 10th and 90th percentiles is False.
In a box plot, the box represents the interquartile range (IQR), which contains the middle 50% of the data. The lower and upper quartiles, representing the 25th and 75th percentiles respectively, are marked by the lower and upper edges of the box. The median, or the 50th percentile, is represented by a line or another symbol within the box.
While the box plot provides information about the spread of the data, it does not directly show the 10th and 90th percentiles. However, by extending the whiskers, which represent the range of the data, you can get a sense of the minimum and maximum values. The whiskers typically extend to the most extreme data points that are within a certain range, such as 1.5 times the IQR.
So, in summary, a box plot does not explicitly show the 10th and 90th percentiles, but it does provide information about the range of the data, which can give you an idea of the overall distribution.
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.
a flag is to ba made with 12 horizontal stripes: 4 red, 4 blue and 4 green. how many designs are possible?
Answer:
64
Step-by-step explanation:
\({4}^{3} \)
There are 3 'variables' here. Red, blue and green. So, you multiply 4 by the power of 3.
Hope this helps!
The random variable X is known to be uniformly distributed between 2 and 12. Compute E(X), the expected value of the distribution.
Please explain how to do this using EXCEL.
The expected value of the distribution is 7.
To find the expected value of a uniform distribution using Excel, you can use the formula:
E(X) = (b + a) / 2
where a and b are the lower and upper bounds of the distribution.
For this problem, a = 2 and b = 12, so we can plug these values into the formula:
E(X) = (12 + 2) / 2
E(X) = 7
Therefore, the expected value of the distribution is 7.
In Excel, you can simply enter the formula "=AVERAGE(2,12)" in a cell to calculate the expected value of the distribution.
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What is the solution to the following equation? (1 point) 8(2x – 10) + 18 = 4x + 22
Answer: x= 7
How did i get x= 7?
1. first i did the distributive property for 8(2x-10) to get it 16x-80 (8*2 is 16 and 8*10 is 80)
2. now the equation is 16x-80+18=4x+22 (COMBINE like terms so -80+18= -62
3. now the equation is 16x-62= 4x+22 (combine like terms so subtract 4x with 16 to get 12x)
4. now the equation is 12x-62=22 (now add 62 on both sides 22+62 is 84)
5. now the equation is 12x= 84 (now divide 84 by 12 to get 7)
A pizza parlor has six different toppings. How many different one- and two-topping pizzas can you order
You can order 6 different one-topping pizzas. You can order 15 different one-topping pizzas.
What is the combination?
A combination is a method of selecting items from a collection where the order of selection is irrelevant.
The combination is defined as "an arrangement of objects in which the order in which the objects are chosen is unimportant." The combination means "selection of things," where the order is irrelevant.
The formula of combination is nCr = n!/[r!(n-r)!]
Where n is the total number of objects and r is the number of objects those are selected.
Case 1: one-topping pizzas
The number of different toppings is 6.
Selecting one topping is ₆C₁ = 6!/[1!5!] = 6
Case 2: two-topping pizzas
The number of different toppings is 6.
Selecting two topping is ₆C₂ = 6!/[2!4!] = 15
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1. 1. MP.5 Use Appropriate Tools Carla had a piece of rope that was 14 in. long. She used some of the rope for a crafts project. Now there is 14 in. left. How much rope did she use? Use the number line to help.
Answer:
4/8, 1/2
Step-by-step explanation:
7/8 - 3/8 = 4/8
4/8 >>> divide both by 4
4 divided by 4 = 1
8 divided by 4= 2
1/2 Inches
I need help asappppppp please help me answer this question
9514 1404 393
Answer:
solutions: (1, -2), (5, 2)not solutions: (-3, 6), (1, -7)Step-by-step explanation:
The first inequality describes a line with negative slope and y-intercept -4. The solution space is above that line.
The second inequality describes a line with positive slope and y-intercept +1. The solution space is below that line.
Together, the lines make a sort of X on the graph. The resulting solution space will be in the right-side quadrant of that X. Any sufficiently small y-value for a sufficiently large x-value will be a solution. Any point to the left of x=-4 will not be a solution. Values in each category are listed above and shown on the attached graph.
What proportion p of adults received a parking ticket in the last year? In a survey of 400 adults selected using random digit dialing, 40 received a parking ticket in the last year. The standard error for the proportion P hat of adults receiving a parking ticket is0.30.0.00023.0.015.
The proportion (p) of adults who received a parking ticket in the last year is 0.1 or 10%.
The standard error for the proportion (P hat) is given as 0.015, which provides a measure of the precision of our estimate.
To find the proportion (p) of adults who received a parking ticket in the last year, we will use the information provided in the survey.
Determine the number of adults who received a parking ticket (given as 40).
Determine the total number of adults surveyed (given as 400).
Now, calculate the proportion (p) using the formula:
p = (number of adults with parking tickets) / (total number of adults surveyed)
p = 40 / 400
p = 0.1
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Evaluate 5(x - 1) - 2 when x = 3.
OA. 8
OB. 0
O C. 12
OD. -4
The value of f(3) for the given expression is 8.
What is evaluation of an expression?
In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Finding the value of an algebraic expression when a specified integer is used to replace a variable is known as evaluating the expression. We use the given number to replace the expression's variable before applying the order of operations to simplify the expression. The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values. We learned how to express an unknown value using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables. Variables and constants can both be used in an algebraic expression. A coefficient is any value that is added before a variable and then multiplied by it.
Given, the expression is 5(x - 1) - 2
Let y = f(x) = 5(x - 1) - 2 = 5x - 5 - 2 = 5x - 7
Therefore, f(3) using the equation above is: f(3) = 5(3) - 7 = 8
Thus, the value of f(3) or y at x = 3 for the given expression is 8.
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The cost of 5 scarves is $33.75. What is the unit price?
Answer:
$6.75
Step-by-step explanation:
Divide 33.75 by 5, they are $6.75 each
x^3x^5=x^p, where p=
Here, we use the property of multiplication of exponential expression which states when we multiply two exponential expressions with the same base, we keep the base and add the exponents.
Therefore,
\(x^(3+5) = x^8\)
Now,
\(x^(3+5) = x^8\)
is of the form:
\(x^b = x^p\)
When we have two equal expressions on either side of the equation, the power of the base remains the same. Therefore,
p = 8
There we have it. The value of p is 8. The full solution is shown below:
\(x^3 × x^5 \\= x^px^8\\ = x^p\)
We can see that the base of the exponential expression on either side is equal.
Therefore, the power of the base must be equal as well. In other words
,p = 8.
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A product has a selling price of $10 per unit, variable expenses of $6 per unit and total fixed costs of $35,000. If 10,000 units are sold, net operating income will be $(1). (Enter your answer as a whole number.)
The net operating income will be $ 5000.
Net Operating Income:The profitability of real estate assets that produce income is evaluated using a formula known as net operating income (NOI). NOI is the total revenue from the asset less all running costs that are deemed to be absolutely required.
Here we have
A product has a selling price of $10 per unit, variable expenses of $6 per unit, and total fixed costs of $35,000.
In total 10,000 units are sold
The net operating income will be computed by Subtracting all expenditures from all money collected on the product.
Net operating income = ($10 - $6) × 10000 - $ 35000
= ($10 - $6) × 10000 - $ 35000
= $ 40000 - $ 35000
= $ 5000
Therefore,
The net operating income will be $ 5000.
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what is the ratio 14:56 in its simplest form thx
Answer:
1:4
Step-by-step explanation:
7:28
1:4
Answer:
1:4
Step-by-step explanation:
14:56=
7(2):7(8)=
2:8=
2(1):2(4)=
1:4
Hope this helps!
besoin d aide pour math
Simplify the expression. (–8.6)0
1
–1
–8.6
0
Answer:
(-8.6)0
= 0
explanation:
Write as a sum or difference of trigonometric functions: 6 cos
3x cos 2x =
As a sum or difference of trigonometric functions, 6cos(3x) cos(2x) = 2cos(5x) + cos(3x) - cos(x).
Using the trigonometric identity cos(A + B) = cosA cosB - sinA sinB, we can write:
cos(3x + 2x) = cos(3x) cos(2x) - sin(3x) sin(2x)
Using the trigonometric identity sin(2x) = 2sin(x)cos(x), we have:
cos(3x + 2x) = cos(3x) cos(2x) - 2sin(3x) cos(x) sin(x)
Using the trigonometric identity cos(3x) = 4cos^3(x) - 3cos(x) and sin(3x) = 3sin(x) - 4sin^3(x), we have:
cos(3x + 2x) = (4cos^3(x) - 3cos(x))cos(2x) - 2(3sin(x) - 4sin^3(x)) cos(x) sin(x)
Simplifying this expression, we get:
cos(3x + 2x) = 4cos^3(x) cos(2x) - 3cos(x) cos(2x) - 6sin(x) cos(x) sin^2(x) + 8sin^3(x) cos(2x)
Using the trigonometric identity sin^2(x) = 1 - cos^2(x), we can substitute sin^2(x) with 1 - cos^2(x) to get:
cos(3x + 2x) = 4cos^3(x) cos(2x) - 3cos(x) cos(2x) - 6sin(x) cos(x) (1 - cos^2(x)) + 8(1 - cos^2(x))^3 cos(2x)
Simplifying further, we get:
cos(3x + 2x) = (4cos^3(x) - 6cos(x)) cos(2x) + (8cos^5(x) - 8cos^3(x) - 3cos(x))
Therefore, we can write:
6cos(3x) cos(2x) = 2cos(5x) + 2cos(x) + 2cos(3x) - 3cos(x)
So the expression can be written as the sum or difference of trigonometric functions:
6cos(3x) cos(2x) = 2cos(5x) + cos(3x) - cos(x)
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which ratio is equivalent to 4:10? Choose ALL the equivalent ratios from i-ready
Answer:
2:5 is the simplified form.
Step-by-step explanation:
4:10 => 4/10 => 2/5=> 2:5Conclusion:
Therefore, the simplified form of 4:10 is 2:5.
Hoped this helped.
\(BrainiacUser1357\)
Answer:
2:5 and 12:30
I hope this helps!
From: Aug1e
What is the length of PQ in this diagram
Answer:
B. Root 74
Step-by-step explanation:
a^2 + b^2 = c^2
5^2 + 7^2 = c^2
74. = c^2
Square root
C is root 74
Hope this helps!
Write an equation for a line perpendicular to y=2x+2 and passing through the point (6,-2)y =
The equation of the line is given as,
\(y=2x+2\)According to the slope-intercept form, the equation of a line with slope 'm' and y-intercept 'c', is given by,
\(y=mx+c\)Comparing with the given equation, the slope of the given line is,
\(m=2\)Theorem: The product of two slopes of two perpendicular lines is -1 always.
Let the slope of the perpendicular line be (m'), and 'b' be the y-intercept. Then, it follows that,
\(\begin{gathered} m^{\prime}\cdot m=-1 \\ m^{\prime}\cdot(2)=-1 \\ m^{\prime}=\frac{-1}{2} \end{gathered}\)The equation of this perpendicular line is given by,
\(\begin{gathered} y=m^{\prime}x+b^{\prime} \\ y=(\frac{-1}{2})x+b^{\prime} \end{gathered}\)Given that the perpendicular lines pass through the point (6,-2), so it must also satisfy its equation,
\(\begin{gathered} -2=(\frac{-1}{2})(6)+b^{\prime} \\ -2=-3+b^{\prime} \\ b^{\prime}=-2+3 \\ b^{\prime}=1 \end{gathered}\)Substitute this value back in the equation of the perpendicular line,
\(y=\frac{-1}{2}x+1\)Thus, the equation of a line perpendicular to the given line and passing through the given point is obtained as,
\(y=\frac{-1}{2}x+1\)which expression is equivalent to m² - 13m - 30?
Answer:
(m-15)(m+2)
Step-by-step explanation:
m^2-13m-30
(m-15)(m+2)
A student in your class mentally calculates 8+9 by noting that 8 is "1 less than 9", and, since 2 x 9 = 18, then 8 + 9 must be "1 less than 18," or 17. The equations representing this method are as follows: 1.8+9 (9-1) +9 ii. (9-1)+9=9+(9-1) iii. 9+ (9-1) (9+9)-1 iv. (9+9)-1-18-1 V. 18-1 17 Which properties of addition is the student implicitly using?
The student is implicitly using the commutative property and the associative property of addition.
i. (9-1) + 9: The student uses the commutative property, which states that the order of adding numbers does not affect the sum. They rearrange the terms to (9-1) + 9, recognizing that adding 9 after subtracting 1 is the same as adding 9 before subtracting 1.
ii. (9-1) + 9 = 9 + (9-1): Here, the student demonstrates the associative property. The associative property states that the grouping of numbers being added does not affect the sum. They regroup the terms to show that adding (9-1) first and then adding 9 is equivalent to adding 9 first and then subtracting 1.
iii. 9 + (9-1): The student does not explicitly demonstrate a property here. They simply perform the calculation of adding 9 and (9-1), recognizing that 9 minus 1 is 8.
iv. (9+9)-1-18-1: In this step, the student performs the subtraction calculations but does not demonstrate any particular property.
v. 18-1: Finally, the student calculates the subtraction and arrives at the answer 17.
So, the student implicitly uses the commutative property and the associative property of addition in their mental calculation.
how to calculate algebraic expression?