The value of 2⁴ + 9x + 2 when x = 2 is 36.
What is an Algebraic Expression?An algebraic expression in mathematics is one that contains variables, constants, and algebraic operations (addition, subtraction, etc.). Terms comprise expressions. These expressions use unknown coefficients, constants, and variables. These three terms combined are referred to as an expression.It should be noted that an algebraic expression lacks sides and the equal sign, in contrast to an algebraic equation.You must substitute a number for each variable and carry out the arithmetic operations in order to evaluate an algebraic expression.Given:
Algebraic expression is 2⁴ + 9x + 2
Where x = 2
So substituting the value of x to find the result of the expression,
2⁴ + 9x + 2 = 16 + 9×2 + 2 = 16 + 18 + 2 = 36
Hence the value of the expression is 36.
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The area of a trapezoid is given by the formula A=12(b1+b2)h. Solve the equation for b2.
In a case whereby the area of a trapezoid is given by the formula A=12(b1+b2)h then the equation for b2 is b2= (A - 12hb1)/12h.
How can the value of the term b2 be expressed?
The formula for the trapezoidis given as A=12(b1+b2)h , where the value of term b2 is been exdpected to be found.
firstly, we need to open the bracket as :
A=12(b1+b2)h
A= 12hb1 + 12hb2
Then this can be simplified as 12hb2= (A - 12hb1)
Then we can try to make the b2 the subject of the formula as
b2= (A - 12hb1)/12h.
Therefore, the value of the term b2 can be written as b2= (A - 12hb1)/12h.
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Please look at the photo and help me please or I’ll get a F
All you need to do is find the error out of the 3 choices and tell me what is the error
PLEASE AND THANK YOU
Answer:
It is the setup.
Step-by-step explanation:
Only 6 is negative. The 11 also needs to be negative.
Consider matrix A.
A =[-3 5 2 8 -1 3]
What matrix results from the elementary row operations represented by -3R2 + 4R₁?
Enter your answer by filling in the boxes.
The resultant matrix after elementary row operation is:
[tex]A = \left[\begin{array}{ccc}-12&20&8\\-24&3&-9\end{array}\right][/tex]
What is elementary row operation?
In mathematics, the elementary row operation is a method in which the two rows exchanged. In this, the rows are either multiplied, added or division. Sometimes, single row is multiplied by some constant.
According to the question, the given matrix A is written below:
[tex]A = \left[\begin{array}{ccc}-3&5&2\\8&-1&3\end{array}\right][/tex]
Now, performing elementary row operations represented by [tex]-3R_{2} +4R_{1}[/tex]
The given matrix becomes after elementary row operations:
[tex]A = -3R_{2} + 4R_{1} = \left[\begin{array}{ccc}-12&20&8\\-24&3&-9\end{array}\right][/tex]
Hence, the resultant matrix after elementary row operation is::
[tex]A = \left[\begin{array}{ccc}-12&20&8\\-24&3&-9\end{array}\right][/tex]
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Rounded to the nearest hundreth. This one is 2 answers.
*11.
How many total terms are there in the following sequence?
7, 10, 13,..., 391, 394
The total terms that in the following sequence 7, 10, 13,..., 391, 394 is 130
What is an arithmetic sequence?The formula for the nth term of an arithmetic sequence is expressed as;
Tn = a + (n-1)d
Where;
Tn is the last terma is the first termn is the number of termsd is the common differencea = 7
Tn = 394
d = 3
Substitute the value in the formula, we have;
394 = 7 + ( n -1) 3
expand the bracket
394 = 7 + 3n - 3
collect like terms
394 - 4 = 3n
find the difference
390 = 3n
Make 'n' the subject of formula
n = 390/3
n = 130
Hence, the number is 130
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PLEASE HELP need answer now
Answer:
82°
Step-by-step explanation:
Exterior angle property of triangle:The exterior angle of triangle equals the sum of opposite interior angles.
∠C + ∠B = 143°
61+ ∠B = 143
∠B = 143 - 61
∠B = 82°
a professor rolls a fair, six-sided die. using the classical method of probability, what is the probability that at least five spots will be showing up on the die?
The probability that at least five spots will be showing up on the die is 1/3.
It is given that a professor rolls a fair, six-sided die.
We need to find the probability that at least five spots will be showing up on the die.
Total possible outcomes = {1,2,3,4,5,6}
Number of total outcomes = 6
At least five spots will be showing up on the die. So,
Favorable outcomes = {5,6}
Number of favorable outcomes = 2
Formula for probability:
Probability = [tex]\frac{Number of Favorable Outcomes}{Number of Total Outcomes}[/tex]
On substituting Number of favorable outcomes and Number of total outcomes in the formula of Probability, we get
Probability = 2/6
Probability = 1/3
Therefore, the required probability is 1/3.
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SOLVE ASAP PLEASE TAKING A TEST!!!
The equation of the circle with the centre (5,7) and containing the point p (1,9) is [tex]\sqrt{20} =(x-5){2}+(y-7){2}[/tex]
How to find the equation of a circle ?The equation for a circle in standard form is [tex](x-x1){2}[/tex]+ [tex](y-y1){2}[/tex] = [tex]r{2}[/tex], where (x, y) denotes arbitrary coordinates on the circle's perimeter, r denotes the circle's radius, and (x1, y1) denotes the coordinates of the circle's centre.
The equation of a circle with centre (x1,y1)
[tex](x-x1){2}[/tex]+ [tex](y-y1){2}[/tex] = [tex]r{2}[/tex]
we know the centre , which is (5,7) so the equation changes to:
[tex](x-5){2}[/tex]+ [tex](y-7){2}[/tex] = [tex]r{2}[/tex]
putting the values of the point p we get
[tex](1-5){2}[/tex] [tex]+ (9-7){2}[/tex][tex]= r{2}[/tex]
r=[tex]\sqrt{20}[/tex]
so the equation of the circle will be:
[tex]\sqrt{20} =(x-5){2}+(y-7){2}[/tex]
Therefore the equation that satisfies the given condition of a circle with centre (5,7) and containing point p (1,9) is [tex]\sqrt{20} =(x-5){2}+(y-7){2}[/tex]
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let’s say you have a four-digit personal identification number (pin). each digit can be 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9, giving a total of 10 possible numbers for each digit. if a pin is 4 digits, each digit can be any one of the 10 possible numbers, how many different possible combinations are there?
If each digit can be 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9, giving a total of 10 possible numbers for each digit. if a pin is 4 digits, each digit can be any one of the 10 possible numbers, The different possible combinations are there is : 10,000.
Different possible combinationGiven :
Digit = 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9
Possible number = 10
Pin = 4 digits
Now let determine the different possible number
Possible number combination = 10 x 10 x 10 x 10
Possible number combination = 10,000
Therefore the combination is 10,000.
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A market sells candy
bars for $4.20. How
much do 8 candy bars
cost?
Answer: 33.6
Step-by-step explanation:
Answer:
33.6
Step-by-step explanation:
4.20 x 8 = 33.6
One plus one plus 278 times 67 divided by 782
Answer:25.8184143223
1+1+278*67/782
1+1+18626/782
2+23.8184143223
25.8184143223
2. Solve the equation using addition or subtraction.
5.5 = −2+d
Od=5
Od = 7.5
Od = 5.5
Od = 3.5
The value of d after addition or subtraction is 7.5
What is basic algebra ?The area of mathematics known as algebra aids in the representation of circumstances or problems as mathematical expressions. To create a meaningful mathematical expression, it takes variables like x, y, and z together with mathematical operations like addition, subtraction, multiplication, and division. Algebra is used in every discipline of mathematics, including trigonometry, calculus, and coordinate geometry.
Given that : the equation is 5.5 = −2+d
5.5 = −2+d
5.5 + 2 = d
7.5 = d
The value of d after addition or subtraction is 7.5
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Which represents the restrictions on the radical inequality [tex]\sqrt[4]{2x+1} \ \textgreater \ 3[/tex]?
A. [tex]2x+1\geq 0[/tex]
B. [tex]\sqrt{2x+1} \ \textgreater \ 0[/tex]
C. [tex]2x+1\leq 0[/tex]
D. There are no restrictions.
there are no restrictions other than 2 x + 1 > 81 on the radical inequality.
We are given the radical inequality as:
⁴√ 2 x + 1 > 3
We need to find the restriction on this inequality.
For this we will first put x on one side and other constant on the other side.
So, we get that:
2 x + 1 > 3⁴
2 x + 1 > 81
So, the restriction is not from the given options.
But, the value of 2 x + 1 should be greater than 81 for the inequality to be true.
Therefore, we get that, there are no restrictions other than 2 x + 1 > 81 on the radical inequality.
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There are 600 pipes in stock at Patty’s hardware store. She randomly selects 40 pipes and finds that 8 of the pipes are made of chrome. How many pipes in stock at her store can Patty predict are made of chrome?
The number of pipes that are made of chrome according to the prediction by Patty are 120.
It is given in the question that :-
Number of pipes in stock at Patty's hardware store = 600
Number if pipes randomly selected by Patty = 40
Number of pipes of chrome = 8
Hence, we can write,
Probability of chrome pipes = 8/40 = 1/5
Therefore, we can write,
Number of pipes that are made of chrome according to the prediction by Patty = (1/5)*600 = 120
Probability
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.
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6) Arrange in ascending order: 0.3,
26%, ½
Answer:
0.3,1/2,26%
Step-by-step explanation:
ascending order if arranging from smallest to highest .In this case, 0.3 Is the smallest followed by 1/2 and then 26%.
Mike says the opposite of 5 is –5 and the absolute value of 5 is –5. Is he correct?
Use the drop-down menus to explain your answer.
Mike
Choose...
correct.
Choose...
combine to make zero.
Choose...
is the distance from zero.
Answer:
Mike is not correct.
Step-by-step explanation:
The opposite of 5 is in fact -5, but the absolute value of 5 is not -5. The absolute value of 5 is 5.
(x-5)^2/8+(y+1)^2/32=1
Solve for the four vertices
Answer:
i Used the standard form to find the vertices.
Vertex
1: (5,−1+4√2)
Vertex
2: (5,−1−4√2)
Step-by-step explanation:
A daycare center in Hillsdale currently has 12 assistant caregivers and 6 senior caregivers. Since demand is high, the owner is going to be hiring 1 assistant caregiver per month and 4 senior caregivers per month. Her goal is to have a larger staff, including an equal number of assistant caregivers and senior caregivers. How many of each type will there be? How long will that take?
1. Month for assistance caregivers is 14 months.
Month for senior caregivers will be 14 months.
2. After 2 month, there will be 14 of each types of caregiver.
What is an expression?
Expression in math is defined as the collection of the number, variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that;
A daycare center in Hillsdale currently has 12 assistant caregivers and 6 senior caregivers.
On high demand the owner is going to be hiring 1 assistant caregiver per month and 4 senior caregivers per month.
Let m is number of months.
Then, Each month has 12+ m for assistant caregivers and 6 + 4m for senior caregivers.
By given condition we formulate;
12 + m = 6 + 4m
12 - 6 = 4m - m
6 = 3m
3m = 6
m = 2
Thus, 12 + m = 12 + 2 = 14
And, 6 + 4m = 6 + 4 x 2 = 14
So, After 2 month, there will be 14 of each types of caregiver.
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One summer, an ice cream truck driver sold 2,994 Popsicles and 515 ice creams. How many
treats did the driver sell in all?
Answer:2479
Step-by-step explanation: subtract 2,994 and 515 and you would get 2479
Answer: 3509 treats
Step-by-step explanation:
If I'm understanding correctly, we need to add the desserts together right?
[tex]2994+515\\=3509[/tex]treats in total
2x+50=3xljb volugvluclkjhvlyotcltc
Answer:
subtract 2x from 3x thats x so 50=x
Step-by-step explanation:
Answer:x=50
Step-by-step explanation:bring 3x over on one side with 2x and bring 50 over on the other side by itself.
The equation becomes 2x-3x=-50
2x-3x is -x
so the equation is -x=-50
there are two negatives in the equation so you make the equation positive because a negative and a negative equals a positive
Therefore the answer is x=50
Melissa and her mom are going on a trip. If they travel
238 miles a day for 13 days, how many miles will they
travel altogether?
In 13 days they will travel 1904 miles altogether.
What is multiplication?Multiplying in math is the same as adding equal groups. The number of items in the group grows as we multiply. Parts of a multiplication issue include the product, the two factors, and the product. The factors in the multiplication problem 6 x 9 = 54 are the numbers 6 and 9, and the product is the number 54.
Multiplication in action or in progress. The multiplication of 8 and 3 is the same as the sum of 8+8+8, which is a mathematical operation that takes two numbers and returns an answer that is equal to the sum of a column in which one of the numbers is repeated the amount of times of the other number.
Given Data
they travel 238 miles a day for 13 days
1 day = 238 miles
13 days = 238 (13)
13 days = 1904
In 13 days they will travel 1904 miles altogether.
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The perimeter of a college basketball court is 96 meters and the length is 14 meters more than the width. What are the dimensions?
The dimensions of the college basketball court with a perimeter of 96 meters are:
Length = 31 metersWidth = 17 meters.What are the dimensions of a perimeter?The dimensions of a rectangular perimeter, like a basketball court, are the two sides (length and width).
The perimeter of a rectangle measures the four sides, that is, the two long sides and two wide sides.
The perimeter is given by the perimeter equation, P = 2(a+b).
The perimeter of the basketball court = 96 meters
The perimeter = 2(Length + Width)
2(Length + Width) = 96 meters
Length = 14 meters more than the width
The total difference of the two lengths = 28 meters (14 x 2)
Width = 17 meters (96 - 28)/2
Length = 31 meters (17 + 14)
Check:
Perimeter = 2(Length + Width)
96 meters = 2(31 + 17)
96 = 62 + 34
96 = 96
Thus, the college basketball court with a perimeter of 96 meters has the following dimensions: 31 meters in length and 17 meters in width.
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Installing custom glass windows costs $400 for the install and $30 per square foot of
glass needed for your windows. The total charge for your window installation was
$4900. Translate this information into an equation using a to represent the number of
square feet of glass used for your windows.
Using your equation, determine the number of square feet of glass used for your
windows.
Please help ASAP really bad at math and can’t afford a tutor.
Part 1
[tex)400+30x=4900[/tex]
Part 2
[tex]30x=4500 \\ \\ x=150[/tex]
So, the answer is 150 ft².
A 35-inch ribbon was cut into 8 equal lengths how long was each piece?
Answer:
4⅜ or 4.375 inches.
Step-by-step explanation:
35 ribbon into 8 pieces is:
35/8 = 4⅜ or 4.375 inches.
A and B are two cylinders that are mathematically similar.
The area of the cross-section
of cylinder A is 18 cm².
Work out the volume of cylinder B.
+
18 cm2
A
5 cm
B
10 cm
The most appropriate choice for similarity of figures will be given by
Volume of cylinder B is 720 [tex]cm^2[/tex]
What is similarity of figures?
Two figures are said to be similar if they have same shape but different sizes.
Actually sides of similar figures are proportional
Ratio of heights of cylinder A and B = 5 : 10
= 1 : 2
Ratio of areas of cylinder A and cylinder B = [tex]1 ^2 : 2^2[/tex]
= 1 : 4
Area of cylinder A = [tex]18[/tex] [tex]cm^2[/tex]
Area of cylinder B = [tex]18 \times 4\\[/tex]
= [tex]72[/tex] [tex]c[/tex][tex]m^2[/tex]
Height of cylinder B = [tex]10 cm^2[/tex]
Volume of cylinder B = Area of cylinder B [tex]\times[/tex] Height ofcylinder B
= [tex]72 \times 10[/tex]
= [tex]720[/tex] [tex]cm^2[/tex]
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Complete Question
The image of the question has been attached with this question.
Work out a+2b as a column vector
hope this helps. . .....
A solid glass cylinder, which is used in an expensive laser amplifier, has a volume of 75vm^3. The cost of polishing the surface area of this glass cylinder is £2 per cm² for the curved surface area and £3 per cm^2 for the circular top and base areas. Given that the radius of the cylinder is r cm, (a) show that the cost of the polishing, £C, is given by C = 6πr² + 300/r
The cost of the polishing, £C, is given by C = 6πr² + 300/r.
The volume of the solid cylinder is 75 m³.
Formula for volume of cylinder = πr²h.
Where R is rhe radius of cylinder and h is the height of the cylinder.
So we can write,
πr²h = 75
h = 75/πr².
So the height of the cylinder is 75/πr² centimeters.
Curved surface area of the cylinder is 2πrh m².
Cost of polishing the curved surface area is £2/cm².
Total cost of polishing the curved surface area = £2×2πrh
Area of the base and the top is 2(πr²).
Cost of polishing base and top is £3/cm².
Cost of polishing 1m² of the base and top,
Cost of area of base and top = £3/cm².
Total Cost of polishing base and top area = £3×2(πr²)
The total cost C of polishing the whole glass,
C = 4πrh + 6πr²
Puting the value of h = 75/πr²
C = 4πr(75/πr²) + 6πr²
C = 6πr² + 300/r.
Hence it is proved that the total cost of polishing is,
C = 6πr² + 300/r.
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Solve: 8a² +18a+ 4 = 0
Step-by-step explanation:
Splitting the middle term
8a^2 +16a + 2a+4 =0
8a (a+2) +2(a+2) = 0
(8a+2) (a+2)
8a=-2 , a = -2
a= -2/8
a= -1/4
a ( -1/4 , -2)
In a survey 34% of population was found to know hindi 46% to know english and 23% to know both languages.what is the percentage of those knowing neither hindi nor english.
We would find the percentage of those knowing neither Hindi nor English in the population using set theory,
Percentage of population knowing English (A) = 46%
Percentage of population knowing Hindi (B) = 34%
Percentage of population who know both languages (A U B) = 23%
therefore,
Applying set theory,
A U B = A + B - (A ∩ B)
23% = 36% + 46% - ( A ∩ B)
A ∩ B = 80% - 23% = 57% population knows either Hindi OR English.
So, Population who neither know Hindi or English = 100% - 57% = 43%
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ive been stuck on this question and i will give extra points but i just dont get this question
According to the solution Angle 3 is measured at 48 degrees.
What is a neighboring angle?Adjacent angles seem to be two angles that share a side and then a vertex but do not overlap at all (corner point). It is clear what is meant when the term "adjacent angles" is broken down; they are just two angles that seem to be close to one another.
Are the adjacent angles equal?Adjacent angles seem to be two angles that do not overlap but share a vertex and a side. In the figure, angles 1 and 2 are close by. Both their common side and vertex are the same.
According to the given data:Angle 3 and angle 132 degrees are nearby angles in this scenario.
Consequently,
angle3 plus 132 degrees equals 180 degrees.
angle 3 = 48 degree
angle 3 = 180-132 degree
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