The given expression is a (A) linear expression.
What are linear expressions?A linear expression is an algebraic expression in which each term is a constant or a variable raised to the first power. To put it another way, none of the exponents may be greater than 1. x2 is a variable raised to the second power, whereas x is a variable raised to the first power. A constant is represented by the number 5.Reduce the equation as much as feasible to the form y = mx + b. Examine your equation for exponents. It is nonlinear if it has exponents. Your equation is linear if it contains no exponents.2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, 3x - y + z = 3 are some instances of linear equations.Therefore, the given expression is a (A) linear expression.
Know more about linear expressions here:
https://brainly.com/question/14323743
#SPJ4
The correct question is given below:
Classify the expression: 5x 2.
(A) linear expression
(B) quadratic expression
(C) cubic expression
(D0 quartic expression
The length and breadth of a rectangular park 25m and 12m. find the distance covered by a boy who takes 4 rounds of the garderean. also find its a
Answer:296 m
I’m assuming “breadth” is width and garderean is just the park.
(25+25+12+12) times 4.
A is never defined
A square has a side that measures 2.75 units. what is the area of a circle with a circumference that equals the perimeter of the square? use 3.14 for π, and round your answer to the nearest hundredth.
The area of a circle with a circumference that equals the perimeter of the square is 9.62 units².
What is circle ?
A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. Every line that passes through the circle forms the line of reflection symmetry. Also, it has rotational symmetry around the centre for every angle.the side measurements of the square is 2.75 units.
the perimeter of this square, we must multiply 2.75 by 4 because a square has four equal side measurements.
2.75 × 4 = 11
Let's use the formula for finding radius given the circumference.
[tex]Radius = \frac{circumference}{2\pi }[/tex]
the circumference because our circumference is 11 units.
Radius = [tex]\frac{11}{2pi }[/tex]
put π = 3.14 * 2
radius = 11 / 2 * 3.14
radius = 11/ 6.28 ⇒ 1.75
the area of the circle = [tex]\pi r^{2}[/tex]
area = 3.14 * (1.75)² ⇒9.61325
Lastly, we round this number to the nearest hundredth as it is asked of us in the problem.
9.61325 = 9. 62
Therefore, the area of the circle is 9.62 units².
Learn more about circle
brainly.com/question/3683465
#SPJ4
simplify -3/2 * 9/6
A. -4
B. -1
C. 4
D. 1
Answer:
-2.25
Step-by-step explanation:
After working for 25 hours when water made $375. after working for 40 hours lamar made $600. predict how much he would make up to 10 hours of work.
Q11) kelly puts $350 in a savings account. the savings account accrues interest at a flat rate of 1.05% a month. how much will the account be worth in 7 months ?
The account be worth in 7 months is 375.725 .
What is the amount in simple interest?Amount (A) is the total money paid back at the end of the time period for which it was borrowed. The total amount formula in case of simple interest can also be written as: A = P(1 + RT)
Here, A = Total amount after the given time period.
Given that,
P = $350, R = 1.05%, T = 7 month
The simple interest equation uses "t" as years, but is just cycles, using an APR rate.
now, if we never mind "t" as years and just use it as an interest cycle, then we can say the rate is 1.05% and the period is 7 cycles.
A = P(1 + RT)
= 350(1+1.05%×7)
= 350(1+0.0105×7)
= 350(1+0.0735)
= 350×1.0735
A = $375.725
Hence, The account be worth in 7 months is 375.725 .
To learn more about simple interest from the given link:
https://brainly.com/question/25793394
#SPJ4
Find the probability of rolling a sum less than 5 or a sum greater than 7 when a pair of dice is rolled.
Answer:
Step-by-step explanation:
Solution
There are 36 possible ways to combine two dice. The ones you are interested in, are in the table below
Numbers less that 5 are with their probabilities
Number Probability How done.
2 1/36 1 + 1
3 2/36 2 + 1 1 + 2
4 3/36 2 + 2 1 +3 3 + 1
Total 6/36 1/6
Greater than 7
Number Probability How done
8 5/36 6+2 2+6 5 +3 3+5 4 + 4
9 4/36 6+3 3 + 6 5+4 4+ 5
10 3/36 6+4 4 +6 5 + 5
11 2/36 5+6 6 + 5
12 1 /36 6 + 6
Total 15/36
Answer
15/36 + 1/6 = 15/36 + 6/36 = 21/36
Final Answer: 7/12
Hurry show your work
24- 4 to rhe power of 2 x 3+15
the expression is simplified to give - 39
How to simply the expression
Given the expression;
= 24- 4 to the power of 2 x 3+15
= 24 - (4^2 × 3 ) + 15
First, expand the bracket
= 24 - ( 16 × 3) + 15
Find the product of the bracket
= 24 - 48 + 15
From our knowledge of BODMAS, we add before we subtract
Now, let's add first
= 24 - 63
The, subtract
= - 39
The expression is simplified to - 39
Thus, the expression is simplified to give - 39
Learn more about BODMAS here:
https://brainly.com/question/723406
#SPJ1
Archeologists discovered a relic dating to the year 107 B.C. How old would this relic have been at the turn of the 20th century?
Step-by-step explanation:
The turn of the 20th century = 1900
So it is 1900 + 107 years ago, hence, 2007
can you guys pls help
Check the picture below.
so the lateral area of the pyramid is really just the area of four triangles whose base is 10 and height is also 10, now, we're excluding the bottom because that's not lateral area.
[tex]\stackrel{\textit{area of four triangles}}{4\left[\cfrac{1}{2}(\stackrel{b}{10})(\stackrel{h}{10}) \right]}\implies 2(100)\implies \text{\LARGE 200}~ft^2[/tex]
2. A ribbon is 5 long. A piece of length 3 4/5 is cut from it. What is the length of the remaining piece?
Answer:
Given,The ribbon is 5m long.
The length of the piece = 3 ^ 4 / 5 m.
To find,The length of the remaining piece.
Solution,We can simply solve this mathematical problem by using the following mathematical process.
First of all, we have to convert the length of the cut piece into simple decimal value.
Length of cut piece =3^ 4 / 5 = (3 * 5 + 4) / 5 = 19/5 = 3.8m
Length of the remaining ribbon = Intital length cut length = 5 - 3.8 = 1.2m = 12/10 - m = 6/5 * m = 1 1/5 m
(The final value is also expressed in fractional form)Hence, the length of the remaining piece is 15m.Answer: 1 1/5
Step-by-step explanation:
5 - 3 = 2 - 4/5 = 1 1/5
P^2=mx/t-t^2x make x the subject
Answer:
[tex]x=\frac{P^2t}{(m-t^3)}[/tex]
Step-by-step explanation:
[tex]P^2=\frac{mx}{t} -t^2x\\\\P^2+t^2x=\frac{mx}{t}\\\\t(P^2+t^2x)=mx\\\\P^2t+t^3x=mx\\\\P^2t=mx -t^3x\\\\P^2t=x(m-t^3)\\\\\frac{P^2t}{(m-t^3)} =\frac{x(m-t^3)}{(m-t^3)} \\\\\frac{P^2t}{(m-t^3)}=x[/tex]
Given w = 10, what is the answer to w + (w – 12 ÷ 22 • 3) • 7? (1 point) 73 66 23 17
Answer:
68.54
Step-by-step explanation:
w + (w – 12 ÷ 22 • 3) • 7
10 + (10 – 12 ÷ 22 • 3) • 7
Parentheses first
(10 – 12 ÷ 22 • 3)
(10 – 36 ÷ 22)
(10 – 1.636)
(8.364)
-------
10 + (8.364) • 7
10 + 58.54
68.54
The value of the expression will be equal to 66.54. The correct option is B.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the expression is w + (w – 12 ÷ 2^ 2• 3) • 7 and the value of w is 10.
By substituting the value of w equal to 10 the value of the expression is,
E = w + (w – 12 ÷ 22 • 3) • 7
E = 10 + (10 – 12 ÷ 22 • 3) • 7
Solve the Parentheses first.
P = (10 – 12 ÷ 22 • 3)
P = (10 – 36 ÷ 22)
P = (10 – 1.636)
P = (8.364)
Solve further to get the final value.
E = 10 + (8.364) • 7
E = 10 + 56.54
E = 66.54.
Therefore, the value of the expression will be equal to 66.54.
To know more about expression follow
https://brainly.com/question/29114
#SPJ1
-4 = p + 7 using sum in verbal expression form
What is the following quotient?6-3(^3√6)/3/9
O 2(3√3)-3√/18
O 2(³√/3)-3(³/2)
O 3(3/3)-3√/18
O 3(³√/3)-3(3√/2)
Applying properties of exponents, the quotient is given as follows:
[tex]2\sqrt[3]{3} - \sqrt[3]{18}[/tex]
What is the quotient?The expression is given by:
[tex]\frac{6 - 3\sqrt[3]{6}}{\sqrt[3]{9}}[/tex]
The 3 can be inserted into the cube root, as follows:
[tex]\frac{6 - 3\sqrt[3]{6}}{\sqrt[3]{9}} = \frac{6 - \sqrt[3]{6 \times 3³}}{\sqrt[3]{9}}[/tex]
Applying the subtraction, we have that the expression is:
[tex]\frac{6}{\sqrt[3]{9}} - \frac{\sqrt[3]{162}}{\sqrt[3]{9}} = \frac{6}{\sqrt[3]{9}} - \sqrt[3]{\frac{162}{9}} = \frac{6}{\sqrt[3]{9}} - \sqrt[3]{18}[/tex]
The denominator can be simplified as follows:
[tex]\sqrt[3]{9} = \sqrt[3]{3^2} = 3^{\frac{2}{3}}[/tex]
Then:
[tex]\frac{6}{\sqrt[3]{9}} = \frac{2 \times 3}{3^{\frac{2}{3}}} = 2 \times 3^{1 - \frac{2}{3}} = 2 \times 3^{\frac{1}{3}} = 2\sqrt[3]{3}[/tex]
Hence the quotient is given by:
[tex]2\sqrt[3]{3} - \sqrt[3]{18}[/tex]
More can be learned about properties of exponents at https://brainly.com/question/25263760
#SPj1
catherin worked 23 hours last week babysitting. She earned 126.50. What is her rate of pay?
Answer:5.50 a hour
Step-by-step explanation:
Find two power series solutions of the given differential equation about the ordinary point x = 0. y'' + xy = 0
Answer:
First we write y and its derivatives as power series:
y=∑n=0∞anxn⟹y′=∑n=1∞nanxn−1⟹y′′=∑n=2∞n(n−1)anxn−2
Next, plug into differential equation:
(x+2)y′′+xy′−y=0
(x+2)∑n=2∞n(n−1)anxn−2+x∑n=1∞nanxn−1−∑n=0∞anxn=0
x∑n=2∞n(n−1)anxn−2+2∑n=2∞n(n−1)anxn−2+x∑n=1∞nanxn−1−∑n=0∞anxn=0
Move constants inside of summations:
∑n=2∞x⋅n(n−1)anxn−2+∑n=2∞2⋅n(n−1)anxn−2+∑n=1∞x⋅nanxn−1−∑n=0∞anxn=0
∑n=2∞n(n−1)anxn−1+∑n=2∞2n(n−1)anxn−2+∑n=1∞nanxn−∑n=0∞anxn=0
Change limits so that the exponents for x are the same in each summation:
∑n=1∞(n+1)nan+1xn+∑n=0∞2(n+2)(n+1)an+2xn+∑n=1∞nanxn−∑n=0∞anxn=0
Pull out any terms from sums, so that each sum starts at same lower limit (n=1)
∑n=1∞(n+1)nan+1xn+4a2+∑n=1∞2(n+2)(n+1)an+2xn+∑n=1∞nanxn−a0−∑n=1∞anxn=0
Combine all sums into a single sum:
4a2−a0+∑n=1∞(2(n+2)(n+1)an+2+(n+1)nan+1+(n−1)an)xn=0
Now we must set each coefficient, including constant term =0 :
4a2−a0=0⟹4a2=a0
2(n+2)(n+1)an+2+(n+1)nan+1+(n−1)an=0
We would usually let a0 and a1 be arbitrary constants. Then all other constants can be expressed in terms of these two constants, giving us two linearly independent solutions. However, since a0=4a2 , I’ll choose a1 and a2 as the two arbitrary constants. We can still express all other constants in terms of a1 and/or a2 .
an+2=−(n+1)nan+1+(n−1)an2(n+2)(n+1)
a3=−(2⋅1)a2+0a12(3⋅2)=−16a2=−13!a2
a4=−(3⋅2)a3+1a22(4⋅3)=0=04!a2
a5=−(4⋅3)a4+2a32(5⋅4)=15!a2
a6=−(5⋅4)a5+3a42(6⋅5)=−26!a2
We see a pattern emerging here:
an=(−1)(n+1)n−4n!a2
This can be proven by mathematical induction. In fact, this is true for all n≥0 , except for n=1 , since a1 is an arbitrary constant independent of a0 (and therefore independent of a2 ).
Plugging back into original power series for y , we get:
y=a0+a1x+a2x2+a3x3+a4x4+a5x5+⋯
y=4a2+a1x+a2x2−13!a2x3+04!a2x4+15!a2x5−⋯
y=a1x+a2(4+x2−13!x3+04!x4+15!x5−⋯)
Notice that the expression following constant a2 is =4+ a power series (starting at n=2 ). However, if we had the appropriate x -term, we would have a power series starting at n=0 . Since the other independent solution is simply y1=x, then we can let a1=c1−3c2, a2=c2 , and we get:
y=(c1−3c2)x+c2(4+x2−13!x3+04!x4+15!x5−⋯)
y=c1x+c2(4−3x+x2−13!x3+04!x4+15!x5−⋯)
y=c1x+c2(−0−40!+0−31!x−2−42!x2+3−43!x3−4−44!x4+5−45!x5−⋯)
y=c1x+c2∑n=0∞(−1)n+1n−4n!xn
Learn more about constants here:
https://brainly.com/question/11443401
#SPJ4
HELP! 25 points!
question is in the file!
please answer asap
Answer:
Option C: x = 6
Step-by-step explanation:
Hi There!
7 + 5 (x - 3) = 22
=> 7 + 5x - 15 = 22
=> 5x = 22 - 7 + 15
=> 5x = 30
=> x = 30/5
=> x = 6
x = 6 makes the statement true.
Thank you,
Eddie
PLEASE HELP! ……………..
Step-by-step explanation:
I am not sure I can read the original expression right, the picture is too blurry for the small digits.
is it 3^(5/5) ?
or rather 3^(5/6) ?
in any case, you should know that a number written like this always has the structure
a^(b/c)
so,
a = 3
b = 5 (or whatever is the numerator or top of the fraction)
c = 5 (or whatever is the denominator or bottom of the fraction).
the denominator of a fraction in an exponent gives us the grade of root to be taken.
the numerator gives us the power of the base number.
and if the exponent is negative it would mean that the whole thing is a 1/... fraction.
like 3^-2 means 1/3².
“Eighteen is equal to the product of a number (n) and 9.”
Answer:
n=2
Step-by-step explanation:
Create an equation.
9n=18
Divide 9 from both sides.
9n/9=18/9
n=2
Hope this helps!
Hans is planting a garden with snapdragons and daisies. the table shows some possible combinations of the two plants. if hans plants 29 daisies, how many snapdragons will he plant?
The linear equation y = -x+45 models the scenario.
Solving the linear equation, it exists found that Hans will paint 16 snapdragons.
What is linear equation?Since the rate of change exists always the exact, this question exists modeled by a linear equation.
Linear equation: y = mx + b
Where, m exists the slope and b exists the y-intercept.
To find the slope, we have to get two points (x, y), and the slope exists given by the change in y divided by the change in x.
Points: (11, 34) and (12, 33).
Change in y: 33 - 34 = -1
Change in x: 12 - 11 = 1.
Slope: m = -1/1 = -1
The equation of the line exists y = -x + b
Replacing one of the points, the y-intercept can be found.
Point (11, 34) means that when x = 1, y = 34.
y = -x + b
34 = -1+b
b = 45
Therefore, the equation y = -x+45 models the scenario.
29 daisies mean that y = 29, we have to estimate the value of x for which y = 29.
y = -x+45
simplifying the equation,
29 = -x+45
x = 45 - 29 = 16
The value of x = 16
Therefore, Hans will plant 16 snapdragons.
To learn more about linear equations refer to:
brainly.com/question/24141057
#SPJ4
Answer:
The equation ✔ x = 45 – y models the scenario.
Hans will plant✔ 16 snapdragons
Step-by-step explanation:
Is the function y = 3x4 - 1 linear or nonlinear?
Prove that 1 + cos theta - sin^2 theta
divided by sin theta [ 1 + cos theta]
is equal to cot theta
Answer:
CotO
Step-by-step explanation:
The process is int the picture
In first gear, or low gear, an automobile's engine runs about three times as fast as the drive shaft. In second gear, the
engine does not have to run as fast; usually it runs about 1.6 times faster than the drive shaft. Finally, in third, or high
gear, the engine runs at the same speed as the drive shaft.
Engine speed = 2,100 r.p.m.
Transmission in first gear
Drive-shaft speed:
Engine is currently in first gear as mentioned in question
Speed=2100rpmDrive shaft speed be x
3x=2100x=700rpmAnswer:
700 rpm
Step-by-step explanation:
A driveshaft is a shaft that transmits mechanical power.
Its speed is measured in rpm (revolutions per minute).
Engine speed
First gear: 3 × drive-shaft speedSecond gear: 1.6 × drive-shaft speedThird gear: equal to drive-shaft speedGiven engine speed:
2,100 rpmTherefore, the drive-shaft speeds in the different gears are:
First gear
Drive-shaft speed = 2100 ÷ 3 = 700 rpm
Second gear
Drive-shaft speed = 2100 ÷ 1.6 = 1312.5 rpm
Third gear
Drive-shaft speed = 2100 rpm
If 2x + 5 ≤ 9, what is the greatest possible value of
2x - 5 ?
Answer:
-1
Step-by-step explanation:
Since we have the linear equation, 2x-5, and it's increasing since the slope is positive, that means we want the maximum x-value, to find the maximum y-value, or possible value.
This means, we want to find the maximum x-value of 2x+5 that is less than or equal to 9, and since we want the maximum x-value, we want the right side to also be the maximum, and since we have a less than or equal to symbol, we can have the equation equal to 9, which is the make value. So we get the following equation
[tex]2x+5=9\\[/tex]
Subtract 9 from both sides
[tex]2x=4[/tex]
Divide both sides by 2
[tex]x=2[/tex]
This is the maximum x-value we can get from the inequality, and now we plug this into the equation 2x-5
[tex]2(2)-5[/tex]
4-1
-1
So the maximum value is -1
(d) Given that n(§) = 96, n(A) = 50 and n(B) = 60. Find the maximum and minimum values for n(An B).
how to get the answer? I want the solution
Step-by-step explanation:
the max. value is when the smaller set (A) is completely contained in the larger set (B).
then n(A n B) is n(A) = 50.
the set intersection between A and B cannot get bigger than that. or A gets bigger ...
after all, the intersection means it is a set of all elements that exist in BOTH sets.
but then there must be other elements besides A and B in the universal set too, because n(universal set) = 96, and n(A u B) would be only 60.
the min. value could be the empty set or 0. but because n(universal set) = 96, and n(A) + n(B) = 110 and larger than 96, it means that there have to be some shared elements. at least 110 - 96 = 14 elements.
in this case there cannot be other elements in the universal set than A and B. and n(universal set) = n(AuB) = 96.
Solve the equation the square root of the quantity x plus 4 minus 3 equals 1 for the variable.
Answer:
x = 12
Step-by-step explanation:
sqrt(x+4) - 3 = 1
First get the sqrt all by itself on one side of the equation. Add 3 to both sides of the equation.
sqrt(x+4) = 1 + 3
sqrt(x+4) = 4
To "fix" the sqrt, that is, "undo it" and get rid of it, you have to SQUARE both sides of the equation.
(sqrt(x+4))^2 = 4^2
x + 4 = 16
subtract 4 to finish up.
x = 12
Check:
sqrt(12 + 4) - 3 = 1
sqrt16 - 3 = 1
4 - 3 = 1
1 = 1 Check!
How many lines of symmetry does a regular pentagon have?
4
4
5
5
6
6
7
7
Answer:
5 line of symmetry
Step-by-step explanation:
6. For what value of p, the binary number 110P/2 represents 25?
Step-by-step explanation:
25 as binary number is
11001
1×2⁴ + 1×2³ + 0×2² + 0×2¹ + 1×2⁰ = 16 + 8 + 1 = 25
25×2 = 50 = 11001 × 2 = 110010
multiplying a binary number by 2 is the save effect as multiplying a normal decimal number by 10 : all digits move one position to the left, and a 0 is put into the empty right position.
and so, we see
110P = 110010
P = 010
FYI : you normally don't mix binary and decimal numbers. if one of the numbers is binary, then all the others have to be binary too.
so, the problem should have looked like
110P/10 = 11001
110P = 11001×10 = 110010
P = 010
Answer:
01
Step-by-step explanation:
From decimal to binary;
25/2==> 1 (remainder)
12/2===>0
6/2==>0
3/2===>1
1
=11001
Checking the answer;
11001
=1*2^4+1*2^3+0*2*2+0*1+1*2^0
=1*16+1*8+0+0+1*1
=16+8+0+0+2
=25
Jan has $30. Brenda has $66. How many DVDs can they buy with their total amount if one DVD costs $12?
Answer: they can buy about 8 dvds
Step-by-step explanation:
this is because 30 + 66 = 96 and if you do 96 divided by 12 it gives you 8
PLEASE CAN SOMEONE HELP!!!!!! ASAP
Answer:
C
Step-by-step explanation:
Express functions as a ratio: put one in the numerator and the other in the denominator
[tex]\frac{12- \frac{2}{3}t}{3-\frac{1}{8}t }[/tex]
We want to get rid of the fractions which would mean multiplying top and bottom by 3 and 8. (Remember to multiply both terms). The answer would result in C.
