[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{5x^3 + 2}\\\mathsf{= 5(-1)^3+2}\\\\\mathsf{(-1)^3}\\\mathsf{= -1\times-1\times-1}\\\mathsf{=1\times-1}\\\mathsf{= \bf -1}\\\\\mathsf{= 5(-1) + 2}\\\\\mathsf{5(-1)}\\\mathsf{= \bf -5}\\\\\mathsf{= -5 + 2}\\\mathsf{=\bf -3}\\\\\\\\\boxed{\boxed{\huge\text{Therefore, your answer is: \bf -3}}}\huge\checkmark\\\\\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\frak{Amphitrite1040:)}[/tex]
Not sure how to start working this one out?
he ended with 16
he earned 6 for mowing the lawn, so before mowing the lawn he had 16-6 =10
he spent half on pizza and had 10 left so allowance = 10*2 = 20
he gets $20 a week for allowance
193+y greater that are equal to 201 what is y
What was png company's current ratio for the year 20x1? 7.74 3.32 2.66 2.47?
an electrician cuts a 136-ft piece of cable. one piece is 16 feet less than 3 times the length of the other piece. Find the length of each piece.
1st piece = x
2nd piece = 3x-16
x +3x-16 = 136
4x-16 = 136
4x = 152
x = 152/4 = 38
1st piece = 38 feet
2nd piece = 136 -38 = 98 feet
A car rental agency currently has 44 cars available, 28 of which have a gps navigation system. one of the 44 cars is selected randomly. find the probability that this car
at 80km/h how many seconds does it take to travel 1km
Carrie buys 4.16 pounds of apples for 5.20 how much does 1 pound cost
What is the value of mc014-1.jpg?
–6
–2
14
22
the pic is the .jpg
Answer:
Option (3) is correct.
The value of the given expression [tex]\frac{-3(7+5)}{3^2}+9(2)[/tex] is 14.
Thus, option (3) is correct.
Step-by-step explanation:
Consider the given expression in the image given,
[tex]\frac{-3(7+5)}{3^2}+9(2)[/tex]
First solve for square term in the denominator,
[tex]3^2=3 \times 3 = 9[/tex]
Expression becomes,
[tex]\frac{-3(7+5)}{9}+9(2)[/tex]
Now solve for numerator,
7 +5 = 12 and -3(12) = -36
Expression becomes,
[tex]\Rightarrow \frac{-36}{9}+9(2)[/tex]
[tex]\Rightarrow -4+9(2)[/tex]
[tex]\Rightarrow -4+18[/tex]
[tex]\Rightarrow 14[/tex]
Thus the value of the given expression [tex]\frac{-3(7+5)}{3^2}+9(2)[/tex] is 14.
Thus, option (3) is correct.
. A square picture frame occupies an area of 112 ft2 . What is the length of each side of the picture in simplified radical form? Show your work.
(08.02)Which of the following graphs best represents the solution to the pair of equations below? y = x + 1
y = −x − 1
In a recent year 33.2% of all registered doctors are female. If there were 56,400 female register doctors that year, what was the total number of registered doctors?
Can anyone figure this out for me please? It would be greatly appreciated.
Find the z-score such that: (a) the area under the standard normal curve to its left is 0.5
If it is known that a+b/a-b=c, find the following: 2a-2b/5a+5b
The value of (2a - 2b)/(5a + 5b) can be simplified to c.
Explanation:To find the value of (2a - 2b)/(5a + 5b) when the equation (a + b)/(a - b) = c is given, we can substitute the value of (a + b)/(a - b) with c. Rearranging the equation, we get:
(2a - 2b)/(5a + 5b) = c
Simplifying the expression, we have:
(2(a - b))/(5(a + b)) = c
So, the value of (2a - 2b)/(5a + 5b) is c.
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A rectangle has side lengths of (3x+6) inches and (2x-4) inches. Write an expression to represent the perimeter of the rectangle. Then find the value of x if the perimeter is 94 inches.
Answer:
Perimeter: 2(3x+6)+ 2(2x-4)
X=9
Step-by-step explanation:
In order to create the expression you just have to remember that the perimeter of a rectangle equals 2 bases plus 2 sides, so the expression would be:
Perimeter: 2(heights)+ 2(bases)
Perimeter: 2(3x+6)+ 2(2x-4)
IN order to solve for X we just have to insert the value of perimeter, which is 94:
Perimeter: 2(3x+6)+ 2(2x-4)
94=2(3x+6)+ 2(2x-4)
94= 6x+12+4x-8
94=10x+4
94-4=10x
x=90/10
x=9
So the value of x would be 9.
Emily buys 240 square feet of Carpet. She can convert square feet to square yards by dividing the number of square feet by 9. How many square yards of carpet did emily buy?
Joe and Ella combine their photos. Then they put an equal number on each page of an 8-page photo album. How many photos are on each page?
How can you decompose the composite figure to determine its area?
Answer:
D. As a semicircle, a trapezoid and two rectangles.
Step-by-step explanation:
Please find the attachment.
We have been given a composite figure. We are asked to decompose our given figure to determine its area.
Upon looking at attachment for our given composite figure, we can see that it consists one semicircle on top, one trapezoid in middle and two rectangles on bottom. So we can decompose our composite figure as a semicircle, a trapezoid and two rectangles.
Therefore, option D is the correct choice.
help me out some one
What is M-1/6-4m+5/6 simplified
The simplified expression is -3M + 1
How did we get the value?To simplify the expression M - (1/6) - 4M + (5/6), we can combine the like terms.
First, let's combine the terms with M:
M - 4M = -3M
Now, let's combine the constant terms:
(1/6) + (5/6) = (1 + 5)/6 = 6/6 = 1
Putting it all together, the simplified expression is:
-3M + 1
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1 point) use the inner product ⟨f,g⟩=∫10f(x)g(x)dx ⟨f,g⟩=∫01f(x)g(x)dx in the vector space c0[0,1]c0[0,1] of continuous functions on the domain [0,1][0,1] to find ⟨f,g⟩⟨f,g⟩, ‖f‖‖f‖, ‖g‖‖g‖, and the angle αf,gαf,g between f(x)f(x) and g(x)g(x) for f(x)=10x2−3 and g(x)=6x−9.
The norms and the inner product of f and g can be calculated using the given inner product definition and the knowledge that the norm of a vector (here, function) is the square root of its inner product with itself. Then, the cosine of the angle between f and g can be found by dividing their inner product by the product of their norms.
Explanation:The problem is asking us to compute certain components in the context of a vector space of continuous functions, namely inner product ⟨f,g⟩, norms ‖f‖, ‖g‖, and angle between them for f(x) and g(x). Since the functions are given as f(x)=10x^2-3 and g(x)=6x-9, these can be used in the provided inner product definition ⟨f,g⟩=∫from 0 to 1f(x)g(x)dx.
The norm of a vector, in this case, the function f or g, is the square root of the inner product of the function with itself. The cosine of the angle α between the functions f and g is given by the ratio of the inner product of f and g to the product of their norms.
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solve the system of linear equations. separate the x- and y- values with a coma.
14x-4y=74
7x-7y=7
The quotient of a number and ten increased by eleven
The expression 'The quotient of a number and ten increased by eleven' is written as (x/10) + 11 in mathematical terms. Understanding the role of exponents, such as in the expression 10² equals 100, helps in grasping concepts like scientific notation, where large or small numbers are expressed as the product of a number and a power of ten, such as 1.372568 × 10⁶.
Explanation:The question 'The quotient of a number and ten increased by eleven' translates to a mathematical expression. This expression can be represented as (x/10) + 11, where 'x' is the number in question. It's a simple algebraic expression where you first divide the number by ten and then add eleven to the result.
When discussing multiplication and division by powers of 10, it's important to understand the concept of an exponent. The exponent is a raised number to the right of the 10, indicating the number of factors of 10 in the original number. For example, in the expression 10², the exponent 2 indicates that ten is multiplied by itself once, resulting in 100. This is consistent with the way our numbering system works, with each place value being ten times greater than the one to its right.
The utility of using exponents is highlighted in scientific notation, which simplifies large or small numbers by representing them as a product of a number and a power of ten. This is particularly useful in fields like science and engineering, where very large or very small numbers are common. For example, the number 1,372,568 can be written in scientific notation as 1.372568 × 10⁶, representing the number as a manageable base multiplied by ten raised to the sixth power.
You anticipate that a $2000 investment in a local business will pay an average of 4% interest in each of the next 5 years. Determine to the nearest dollar the amount of the investment at the end of 5 years.
Hannah wishes to find the vertex of the function x2 + 3x - 28 = 0 by completing the square. Which of the following equations may be used to identify the coordinates of the vertex?
A. (x + 1.2)2 = 30.25
B. (x + 2.25)2 = 30.5
C. (x + 2.5)2 = 30.75
D. (x + 2.75)2 = 32.5
which of the following represents the factorization of the trinomal below
Which of the following expression has a value less than 0.7? A) 0.7×4/3. B) 0.7×3/3 C) 0.7×1/3
The sum of the reciprocals of two consecutive integers is -9/20. Find the two integers
The average time a boulder high varsity lacrosse player plays in a game is 27 minutes with a standard deviation of 6 minutes. nolan's playing time in last week's game against fairview was 50 minutes. (a) calculate the z-score for nolan's playing time against fairview. (round your answer to 2 decimal places.)
what factor makes the number sentence true 7x4= ( ) x7