Discrete variables are Number of pockets inside the jacket .
A variable whose value is determined by counting is referred to as a discrete variable. examples: the number of students in attendance. how many red marbles are in the jar. number of heads when three coins are flipped. The number of students, kids, the shoe size, and so forth are some typical examples of discrete data. Height, weight, length, time, temperature, age, and other continuous data are typical examples. Discrete data are represented by integer and ordinal data values. Continuous Variable. "Discrete variables" are variables that have a finite number of possible values. Each and every qualitative variable is discrete. Certain quantitative variables, like performance ratings of 1, 2, 3, 4, or 5, or temperature rounded to the nearest degree, are discrete.
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4t^2+2 + 4t^2-2
what is the sum?
Answer: its 8t²
Step-by-step explanation:
Answer:
Sum = 8t²
Step-by-step explanation:
Let's solve the problem,
→ 4t² + 2 + 4t² - 2
→ (4t² + 4t²) + (-2 + 2)
→ 8t² + 0 = 8t²
Hence, the answer is 8t².
HELP ME PLEASE! Lina invested $7,800 in a mutual fund at a simple interest rate of 4.35%. She earned $1,696.50 in interest. How long (in years) was the money invested?
Round to the nearest tenth of a year if needed.
The number of years for which the money was invested is 5.0 years
Simple InterestFrom the question, we are to determine how long (in years) the money was invested
From the given information,
Lina invested $7,800 at a simple interest rate of 4.35%
and
She earned $1,696.50 in interest
From the formula for simple interest
I = PRT
Where I is the simple interest
P is the principal
R is the rate
and T is the time in years
From the given information,
I = $1,696.50
P = $7,800
R = 4.35% = 0.0435
Thus,
1696.50 = 7800 × 0.0435 × T
1696.50 = 339.3 × T
T = 1696.50/339.3
T = 5.0 years
Hence, the money was invested for 5.0 years
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Which quadratic inequality does the graph below represent?
Answer:
3rd option, y<=x^2-3
Step-by-step explanation:
y<=x^2-3 is the graph of the function. The vertex of the graph is (0, -3), so when x=0, y=-3. Also, for every x-coordinate, the shaded region is below the corresponding y-coordinate. For example, when x=0, the shaded area for that x-coordinate is below y=-3.
Evaluate each expression for the given value of x
2³x+4 for x=-1
The value of algebraic expression 2³x + 4 for x = - 1 will be equal to - 4.
In order to solve this expression:Firstly, we need to write the cube of 2 ( 2³).Then, we have to multiply it with x.2³ x + 4 = ( 2 )³ x + 4 = 8x + 4
Now, we will substitute the given value of x, i.e., -18x + 4 = 8(-1) + 4
= -8 + 4
= -4
Therefore, the value of algebraic expression 2³x + 4 for x = - 1 will be equal to - 4.
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Find the face of a rhombus with a circumference of 52 cm and a height of 1.2dm
The face of the rhombus ( length of one side) is found to be 13 cm.
How do you define a rhombus?A rhombus is a special parallelogram because it meets the definition of a parallelogram, which is a quadrilateral to two pairs of parallel sides.
Furthermore, a rhombus, such as a square, has every four sides that are equal. As a result, it is also identified as a slanted square.A rhombus has two diagonals that serve as its lines of symmetry.An axis of symmetry is a line that separates an object in to the two equal halves.Any two adjacent and otherwise consecutive angles add up to 180°.As per the given question;
The circumference of the rhombus is 52 cm.
Let us consider the one side of the rhombus is of length 'x'.
As, we known that the sides of the rhombus are equal.
Thus,
4x = 52
x = 52/4
x = 13.
Therefore, the face or the length of the one side of the rhombus is found as 13 cm.
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Sam has three times as many crayons as Thabo. If he gives Thabo 17 crayons he will have twice as many crayons as Thabo. How many crayons did Thabo have to start with?
Answer:
Thabo had 51 crayons at the start.
Step-by-step explanation:
Sam has three times as many crayons as Thabo. Then
x = 3y.
If Sam gives 17 crayons to Thabo, then he will have twice as many crayons as Thabo. Then
(x-17) = 2(y+17).
Thabo had 51 crayons to start with.
Given that Sam has three times more crayons than Thabo does. He will have twice as many crayons as Thabo if he gives him 17 of them.
We need to determine the number of crayons Thabo had in starting.
Let's use algebra to solve this problem step-by-step.
Let's assume that Thabo starts with "x" crayons.
According to the given information:
Sam has three times as many crayons as Thabo, which means Sam has 3x crayons.
If Sam gives Thabo 17 crayons, he will have (3x - 17) crayons left.
Thabo will have (x + 17) crayons after receiving the 17 crayons from Sam.
Now, the second condition states that if Sam gives Thabo 17 crayons, he will have twice as many crayons as Thabo.
Mathematically, it can be expressed as:
2(x + 17) = 3x - 17
Let's solve this equation to find the value of x:
2x + 34 = 3x - 17
Subtract 2x from both sides:
34 = x - 17
Now, add 17 to both sides:
x = 51
So, Thabo had 51 crayons to start with.
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Find the area of the shape below.
9 cm
11 cm
6 cm
15 cm
Answer:
https://brainly.com/question/17376539
Step-by-step explanation:
7: Sort these decimals into ascending order, starting with the smallest one: 0.0995, 0.0929, 0.09, 0.905, 0.999, 0.9209
10. Murphy and Naryam do their math homework together. When they find 9- (-8), they get different answers. Murphy claims the difference is 17. Naryam claims the difference is -1. a. Who is correct? Murphy b. What error likely led to the incorrect answer?
Answer:
Naryam
Step-by-step explanation:
Murphy is incorrect because when subtracting integers, you have add the addictive inverse of the others. (keep, change, change) which would lead to the equation of 9 + 8. What Murphy did wrong is subtract 9 and -8 without finding -8 addictive inverse.
Determine whether the vectors in each pair are normal to each other. (8,-4) and (-2,4)
Since their dot product is not equal to zero, then (8,-4) and (-2,4) are not normal to each other.
Two vectors are said to be normal or perpendicular to each other if the result of their dot product is equal to zero.
These two vectors are also called orthogonal to each other.
Let u = (u₁, u₂) and v = (v₁, v₂), then the dot product u . v is defined as:
u . v = u₁v₁ + u₂v₂
To check whether the vectors are normal to each other, let us check their dot product.
The given vectors are: (8,-4) and (-2,4)
Let u = (8,-4) and v = (-2,4), then,
u . v = 8 . (-2) + (-4) . 4
= -16 + (-16) = -32 (not equal to zero)
Since u.v ≠ 0, then (8,-4) and (-2,4) are not normal to each other.
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what is 4
7
10
− 9
=
The value of -4(7/10) - 9(7/15) is -85 / 6.
What is a mixed fraction?A fraction represented with its quotient and remainder is a mixed fraction.
For example:
3 4/5 is a mixed fraction, where 3 is the quotient, and 4 is the remainder.
We have,
-4(7/10) - 9(7/15)
Convert each term into a proper fraction.
4 7/10 = (40+7) / 10 = 47 / 10
9 7/15 = (135 + 7) / 15 = 142 / 15
Now,
= -47 / 10 - 142 / 15
The LCM of 10 and 15 is 30
= [3 x (-47) - (2 x 142)] / 30
= (-141 - 284) / 30
= -425 / 30
We can divide by a common factor of 5
= - 85 / 6
Thus the value of -4(7/10) - 9(7/15) is -85 / 6.
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The complete question is
Evaluate -4(7/10) - 9(7/15)
One of Ted’s jobs at home is to pump gas for his family’s sedan and truck. When he fills up the sedan with 12 gallons of gas, he notices that it costs him $50.04. Write an equation using the unit rate from #27. #27 is $4.17.
The equation that can be formed with the unit and total costs of filling up the Sedan with 12 gallons of gas is 12p = 50.04, where p = 4.17.
What is an equation?An equation is a mathematical statement that expresses two equal variables.
Equations use the equation sign (=).
Data and Calculations:The quantity of gas per the Sedan's tank = 12 gallons
The unit cost of a gallon of gas = $4.17
The total cost of filling 12 gallons with gas = $50.04
In equation form, the expression can be written as:
12p = 50.04
Where p = 4.17
Thus, the equation of the total cost is 12p = 50.04, where p = 4.17.
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Which of the following is an example of the associative property of multiplicaition?
1. 7 • (3 + 5) = 21 + 35
2. 7 • (3 • 5) = 7 • (5 • 3)
3. 7 • (3 • 5) = (7 • 3) • 5
4. 7 • ⅐ = 1
The example of the associative property of multiplication is 7 • (3 • 5) = (7 • 3) • 5
How to determine the example of the associative property of multiplication?The associative property of multiplication states that
(a * b) * c = a * (b * c)
Using the above equation as a guide, we have the following equation
7 • (3 • 5) = (7 • 3) • 5
The above equation is the option (3) of the associative property of multiplication
Hence, the example of the associative property of multiplication is 7 • (3 • 5) = (7 • 3) • 5
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you are painting a 10ft by 12ft room with a height of 16ft. how much surface area would you need a paint obly the walls and ceiling? if one paint can covers 200ft2, how many paint cans wouldyou need
The surface area needed to be paint is 3,008 sq. ft. The cans requires for the paint are 15.
What is defined as the cuboid?A cuboid is a 3 solid with six (rectangular) faces, eight vertices, and twelve edges.
A cuboid is defined by three dimensions: length, width, and height. A perfect cuboid is categorized as a cuboid with integer edges.A cuboid's total surface area (TSA) is the total of the areas of all of its rectangular faces.Total Surface Area (TSA) = 2(lb + bh + hl) sq.units
where, i is the length, b is the breadth and h is the height.
The given values are;
length l = 12 ft
breadth b = 10 ft
height h = 16 ft
Put the values in the formula;
Total Surface Area (TSA) = 2(12×10 + 10×16 + 16×12)
= 2×(120 + 160 +192)
= 2×(472)
Total Surface Area (TSA) = 1504
Now, reduce the area of the floor as it is not to be painted;
Painted area = Total Surface Area (TSA) - area of floor
= 1504 -12×10
Painted area = 3,008 sq. ft
The area covered by 1 paint can is 200 sq. ft.
Can required = total painted area/painted area by one can
Can required = 3,008/200
= 14.44
Can required = 15 (as half can is not considered)
Therefore, the area painted is 3,008 sq. ft with the total number of cans as 15.
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Please help me I need help
Answer: divide 22/2
Step-by-step explanation:
Answer:
Divide 22/2
Step-by-step explanation:
22/2 is 11, a whole number.
Simplifying:
(22/2)*(3/9)*4
11*(3/9)*4
11*(1/3)*4
Solving:
11*(1/3)*4
11*4=44 44/3=14 2/3
(22/2)*(3/9)*4=44/3 or 14 2/3
Dave accidentally overdrew his bank account. The bank will charge him for every day that his account remains overdrawn. This situation is represented by the expression: -10x - 75
What does the constant represent in this case?
the number of days he is overdrawn
the amount he is charged for being overdrawn each day
how much money he initially overdrew from his account
Answer:
the amount he is charged for being overdrawn each day
Step-by-step explanation:
You are selling lemonade for $1.50, a bag
of kettle
dog for $2.50 at a fair. Write and simplify an
corn for $3, and a hot
of money you receive when p people buy
expression for the amount
one of each item.
Answer:
I don't understand you hear me
Between which two consecutive whole numbers does \sqrt{83}
83
lie? Fill out the sentence below to justify your answer and use your mouse to drag \sqrt{83}
83
to an approximately correct location on the number line.
Real
√83
__
_
Since \large\sqrt{\phantom{\frac{2}{2}}\hspace{15px}}
2
2
=\,=
and \large\sqrt{\phantom{\frac{2}{2}}\hspace{15px}}
2
2
=\,=
it is known that \sqrt{83}
83
is between
and
.
Answer:
47 23
Step-by-step explanation:
calculator
on the internet in brainly lol
SOMEONE HELP MEEEEEE
How many inverse variation functions have (2,3) as a solution?
According to the question, solution for the inverse variation function. Using standard concept which defines inverse variation function is as follows:
Inverse variation function: [tex]yx=k[/tex]
Therefore, the number of inverse variation function which has[tex](2,3)[/tex] as a solution is : one
What is inverse variation function?
Inverse variation function defines the relationship which are in inverse function. Like, direct variation define direct relationship between the two variables. In inverse variation function, one variable is inversely related to the another variable.
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What is 0.2÷5.3?
Please help me
Answer:
0.03773584905
or 0.04
Step-by-step explanation: if this was not what you were looking for,
Can someone help me really quick
Answer:
(3 3/4) : (3/4) = 5/1 = 5
Step-by-step explanation:
What is 20x73 divided by 18?
Answer:
81.1111111111111
Step-by-step explanation:
Becuse
Answer:
80 (Estimate, we'll get to the exact result at the end.)
Step-by-step explanation:
[tex]\mathrm{(Round)~If~x < 5,~x=y.0}[/tex]
→ y is the number, for instance, 60.0 since 63.0 in the ones/tenths place is less than 5 or 0.5
[tex]20 \times 70 = 1,400[/tex]
→ imagine the newly rounded 73 as 2 × 7 which is 140, but it's 2 more 0's, so it's 1,400.
[tex]\bold{77}\\18|1,400\\18 \times 7 = 126\\140 - 126 = 14\\18 \times 7 = 126\\140 - 126 = 14[/tex]
→ long division was performed. for each time a 0 appeared in 14 when 140 was subtracted by 126(18 • 7), a zero was either borrowed from 1,400 or dropped from 1,400 which became our remainder of 14 both ways around.
→ 77 is close to 75 but not below 5, so it round to 80. therefore, your estimate result is 80.
(The exact result is 81.1)
I hope this helped, let me know if you have concerns.
What is (f⁰g)(-3) for the functions f and g defined in Problem 3 ?
f(g(-3)) = f(6) = 9.
For composing functions like this, we'll work from the inside out. First, find g(-3) by plugging x = -3 into the function g(x):
g(x) = |x - 3|
g(-3) = |-3 - 3|
g(-3) = |-6|
g(-3) = 6
Now we can replace g(-3) with 6 in the function composition to get f(g(-3)) = f(6). Find f(6) by plugging x = 6 into the function f(x):
f(x) = x + 3
f(6) = 6 + 3
f(6) = 9
So, f(g(-3)) = f(6) = 9.
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2
21. --x-5 = y; (9,-11)
3
answer is y=x+216 and -6.
In the question, the expression is given 221--x-5=y;(9-11)3
An equation is said to be linear equation in two variables if it is in the form of ax + by + c=0, where a, b & c are real numbers and a and b respectively, are not equal to zero. For example, 10x+4y = 3 and -x+5y = 2 are linear equations in two variables.
Unique Solution:
For the given linear equations in two variables, the solution will be unique , if and only if they intersect at a point.
No Solution:
For the given linear equations in two variables, the given system of equations has no solution if lines of two linear equations are parallel.
Infinitely many solution:
For the given linear equations in two variables, the given system of equations has infinitely many solution if lines of two linear equations coincident.
Two consecutive minus signs have the same mathematical meaning as a single plus sign .
221+x-5=y,(9-11).3
x+216=y
Subtract 216 from both sides of the equation,
x+216-216=y-216
x=y-216
replace x with y-216 in the expression
(9-11).3
subtract 11 from 9
-2.3
Multiply -2 by 3
-6
Hence, Final answer is y=x+216 and -6.
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− 3 g + 2 f + g − 4 f
Answer:
-2g-2f
Step-by-step explanation:
Hope it helps you
Answer: -2g-2f
Step-by-step explanation: Combine like terms
-3g+2f+g-4f
-2g-2f
Please can u tell me what the answer to this is please
Answer:
Below in bold.
Step-by-step explanation:
(√5)² * (√3)²
= 5 * 3
= 15
(∛9))³ (√30)²
= 9 * 30
= 270
Solve each equation.
log 2 x+log x=11
log 2x + log x = 11 => x = 223600, by properties of logarithm.
What is Logarithm?The opposite of exponentiation is the logarithm.This indicates that the exponent to which a fixed number, base b, must be raised in order to obtain a specific number x, is represented by the logarithm of that number.A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459.Now,
log (2x) + log (x) = 11
=> log [(2x)(x)] = 11 (as log (a) + log (b) = log (ab))
=> log (2x²) = 11
Since, generally the base of log is 10, raising them to 10
=> [tex]10^{log_{10}(2x^{2})} = 10^{11}[/tex]
=> 2x² = 10¹¹
=> x² = [tex]\frac{10^{11}}{2}[/tex]
=> x = [tex]10^{5}\sqrt{\frac{10}{2}} = 10^{5}\sqrt5[/tex]
=> x = 10⁵ (2.2360)
=> x = 223600
Hence, log 2x + log x = 11 => x = 223600, by properties of logarithm.
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find the next four terms of the geometric sequence given the a1=2x r=x³
Answer: [tex]2\text{x}^4, \ 2\text{x}^7, \ 2\text{x}^{10}, \ 2\text{x}^{13}[/tex]
===========================================================
Explanation:
The first term is [tex]a_1 = 2\text{x}[/tex] and the common ratio is [tex]r = \text{x}^3[/tex]
To get the second term, we multiply the first term by that common ratio
[tex]a_2 = a_1*r = 2\text{x}*\text{x}^3 = 2\text{x}^4[/tex]
Repeat a similar idea for the third term
[tex]a_3 = a_2*r = 2\text{x}^4*\text{x}^3 = 2\text{x}^{4+3} = 2\text{x}^7[/tex]
and the fourth term is
[tex]a_4 = a_3*r = 2\text{x}^7*\text{x}^3 = 2\text{x}^{7+3} = 2\text{x}^{10}[/tex]
The fifth term is
[tex]a_5 = a_4*r = 2\text{x}^{10}*\text{x}^3 = 2\text{x}^{10+3} = 2\text{x}^{13}[/tex]
Something to notice: The exponents of the first five terms are: 1, 4, 7, 10, 13. The sequence of exponents is arithmetic even though the original underlying sequence is geometric.
The reason why the exponent sequence is arithmetic is because we keep multiplying by [tex]\text{x}^3[/tex], and hence we keep adding 3 to each exponent to get the next exponent.
-----------------------------------------
To summarize, the first five terms are:
[tex]2\text{x}, \ 2\text{x}^4, \ 2\text{x}^7, \ 2\text{x}^{10}, \ 2\text{x}^{13}[/tex]
We will ignore the first term 2x since your teacher wanted you to find the next four terms after that first term (i.e. term2 through term5).
What is the sum of measures of the interior angles of a pentagon
The sum of the interior angles of the pentagon is the 540°.
According to the statement
We have to find that the sum of measures of the interior angles of a pentagon.
So, For this purpose, we know that the
A pentagon is a geometrical shape, which has five sides and five angles.
From the given information:
the sum of measures of the interior angles of a pentagon
Then
A pentagon is a geometrical shape, which has five sides and five angles.
and
we have to know that the
Pentagon is formed from three triangles, so the sum of angles in a pentagon = 3 × 180° = 540°.
Then
The sum of the interior angles of the pentagon is the 540°.
So, The sum of the interior angles of the pentagon is the 540°.
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