The sum of all Payments made during the billing cycle is $975.00
What is the subtractions?
A subtraction is a mathematical operation that is used to find the difference between two numbers. It is represented by the symbol "-" or the word "minus". Subtraction is the inverse operation of addition, meaning that if you add two numbers and then subtract one of those numbers, you should end up with the original value of the other number.
In the FlashCard statement provided, the "DEBITS/CREDITS" section lists all the transactions made during the billing cycle, including payments, purchases, and credits. The payments are listed as negative numbers, indicating that they are subtractions from the balance. The sum of all the payments is calculated by adding up all the negative numbers listed in this section. In this case, it is $975.00.
It's also important to note that this section of the statement lists the transaction made on different days, in the case provided from 4 May to 21 May.
In summary, the sum of all Payments made during the billing cycle is $975.00 which is the total of payments made during that period.
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Evaluate 1/2yz
if y= 3/5
and z= −1 7/8
Write your answer as a fraction in simplest form.
To evaluate 1/2yz when y = 3/5 and z = -17/8, we first substitute the given values for y and z into the expression:
1/2(3/5)(-17/8)
Next, we can simplify this by multiplying the fractions:
1/2 * 3/5 * -17/8 = (-3/10) * (-17/8)
To multiply the fractions we multiply the numerators and denominators separately:
(-3/10) * (-17/8) = (-3 * -17)/(10 * 8)
Then we can simplify the numerator by combining like terms:
(-3 * -17)/(10 * 8) = 51/40
So the final result of the expression is 51/40.
Answer:
_51/80
Step-by-step explanation:
1/2*3/5*_17/8
1/2×3/5×(_17/8)
3/10×(_17/8)
_51/80
i need help doing thissss!!!
Answer:
9
Step-by-step explanation:
[tex] | \sqrt{130 \: } | { \: }^{2} \: = |7| {}^{2} + |x| { \\ }^{2} \\ [/tex]
= 130=49+x²
=130-49=x²
=81=x²
[tex] \sqrt{81 \: } = x \\ x = 9[/tex]
Therefore the third side is 9
Combine like terms in each
part below
Liha has three x2 -tiles, two x-tiles, and eight unit tiles, while Makulata has five x2-tiles and two unit
tiles. At the end of class, they put their pieces together to give to Ms. Singh. Write an algebraic
expression for each student's tiles and find the sum of their pieces.
According to the given quadratic equation the sum of their pieces:
A. = 8x² + 2x + 10
B. 7x²- 7x -17
C. incomplete information.
what exactly is a quadratic equation?A quadratic equation is a third polynomial equation in one variable using the formula x = ax2 + bx + c = 0 and a 0. The fundamental theorem of algebra ensures that it has at least one solution because it is a second-order polynomial problem. Real or complex solutions are also possible.
What makes it a quadratic equation?In mathematics, the quadratic issue is any problem that involves multiplying a variable by itself, often known as "squaring." This terminology comes from the fact that a square's area is equal to its side length divided by itself. The Latin term quadrature, which means square, is where the word "quadratic" derives.
According to the given information:A. Lisha
= 3x² + 2x + 8
Makulata = 5x² + 2
Sum of the given equation:
= (3x² + 2x + 8) + ( 5x² + 2)
=(3x² + 5x² +2x + 10)
= 8x² + 2x + 10
B.
= 4x + 6x² - 11x + 2 + x² - 19
= (6x² + x²) + (4x - 11x) + 2 -19
= 7x²- 7x -17
C. incomplete information.
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a train track slopes upward at an angle of 12 degrees how many feet does the track rise over a horizontal distance of 150 ft estimate ur answer to two decimal places
The track rises 31.88 feet over a horizontal distance.
What is tangent function?One of the six fundamental functions in trigonometry is the tangent function. As stated, Tan A = Opposite Side/Adjacent Side is the Tangent Formula. Tangent may be modeled using sine and cosine as follows: Tan A = Sin A / Cos A.
Given:
A train track slopes upward at an angle of 12°.
The track rise over a horizontal distance of 150 feet.
From the attached image:
tan(12)° = AB/OA
AB = 150 x tan12°
AB = 31.88 feet.
Therefore, the required distance is 31.88 feet.
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What is the slope and the y intercepts of 3x 2y 5?.
The slope and the y intercept of the equation 3x + 2y = 5 is -3/2 and 5/2 respectively.
The term equation of the straight line is y = mx + c here m refers the slope and c refers the value where the line cuts the y-axis that is y intercept.
Here we have given that the equation 3x + 2y = 5.
In order to find the slope and the y intercept we have to rewrite the given equation as follows,
Here we need to find the value of y so we have to move the other terms to the next side then we get,
=> 2y = 5 - 3x
Then it can be rewritten as,
=> y = (5 - 3x)/2
Therefore, the resulting equation is written as,
=> y = -3x/2 + 5/2
So, the slope of the equation is -3/2 and the y intercept is 5/2.
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How do you know that a given trinomial is a perfect trinomial?.
When a number is multiplied by itself, the result is the perfect square. The same two binomials are multiplied to produce the perfect square trinomial, which is an algebraic expression. This is the first condition to know that a given trinomial is a perfect trinomial.
A binomial expression has two terms, a variable and a constant, which are either separated by the "+" or "-" sign, whereas a trinomial expression has three terms. The "+" or "-" sign is used to denote the separation of terms in trinomials as well. There are typically two forms of a perfect square trinomial. in other words, a2 + 2ab + b2 or a2 - 2ab + b2. Let's now examine the procedures for converting a given binomial into a perfect square trinomial and vice versa. If a trinomial is given, we can determine if it is a perfect square trinomial.To learn more about polynomials here
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I WILL GIVE YOU BRANLIST OF YOU HELP ME WITH THESE TWO PROBLEMS
Answer: a)False
b)False
c)True
d)True
Step-by-step explanation:
a) the are more crosses marked in the less than 1 mile side (false)
b) the most common one in this is 1/2 mile (false)
c) 5/8 mile is actually empty so it is (true)
d) this is (true) as the shortest one is 1 therefore 1 x 5 is 5 so it is true
HELLLLLLPPPPPPPP MEEEE!!! right now this is a paper I'm making up and I. d. k. what to do
10 POINTS!!!!1
y=x-1 is the equation of the line in slope intercept form.
The slope of the line is the ratio of the rise to the run, or rise divided by the run.
It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The two points from the graph are (1, 0) and (0, -1).
Slope= -1/-1
=1
Now let us find the y intercept.
0=1(1)+b
b=-1
The slope intercept form is y=x-1.
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Triangle ABC with angle ACB a right angle and CD perpendicular AB at D
We have proved that BC² ×AD = AC² ×BD using AAA congruence rule.
What is congruence rule?Triangles that are identical in size and shape are said to be congruent. This implies that the corresponding sides and angles are equal.
Without comparing each of the triangles' sides and angles, we can determine whether two triangles are congruent. The four rules that demonstrate triangle congruence will be discussed in this lesson. They are referred to as the SSS rule, SAS rule, ASA rule, and AAS rule.
We'll discuss the Hypotenuse Leg rule, a right triangle proof, in a later lesson. It is sufficient to demonstrate that the two triangles are congruent if only one of the rules is accurate.
Consider △ACD&△ABC
∠CAD=∠CAB
∠CDA=∠ACB
∴△ACD∼△ABC,{ By AA similarity criterion}
⟹ AC/AB = AD/AC
∴ AC ² =AB×AD
Similarly, △BCD∼△BAC { by AA similarity criterion}
⟹ BC/BA =BD/BC
∴BC² =BA×BD
∴ BC²/AC² = AB×BD/AB×AD
∴BC² ×AD = AC² ×BD
Thus, We have proved that BC² × AD = AC² × BD using AAA congruence rule.
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Complete question:
Triangle ABC is right angled at C and CD is perpendicular to AB. Prove that BC² ×AD = AC² ×BD
hi please help i need help whats 7 + 4 ive been stuck on this for hours and no one takes me seriously i called the one phone number that i knew but all 911 did was laugh at me and hang up PLEEEEEASASASE
Answer: 11
Step-by-step explanation:
Answer:
uh. 11
Explanation:
7 + 4 = 11
URGENT!
find the value of x in each supplementary angle pair
The value of x in the supplementary angle pair is obtained as x = 14°.
What is a supplementary angle?
The definition of "supplementary" in mathematics relates to angles that combine to form a straight angle. It indicates that when two angles sum up to 180 degrees, they are said to be supplementary angles.
Two angles are supplementary, if -
One of its angles is an acute angle and another angle is an obtuse angle.
Both of the angles are right angles.
The given angles are -
Angle 1, ∠1 = 156°
Angle 2, ∠2 = (x + 10)°
Since, both angles lie on same plane which a straight line it forms a supplementary angle.
The equation for supplementary angle pair is -
∠1 + ∠2 = 180°
Substituting the values in the equation -
∠1 + ∠2 = 180°
156° + (x + 10)° = 180°
166° + x = 180°
x = 180° - 166°
x = 14°
Therefore, the value of x = 14°.
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What is a range answer 4?.
The range in statistics for a given data set is the difference between the highest and lowest values.
As a result, the range can also be defined as the difference between the highest and lowest observations. The range of observation is the name given to the outcome. In statistics, the range indicates the dispersion of observations.
To find the range in statistics, we need to arrange the given values or set of data or set of observations in ascending order.
For example, if the given data set is {2,5,8,10,3}, then the range will be 10 – 2 = 8.
Thus, The range in statistics for a given data set is the difference between the highest and lowest values.
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Alex i planting flower. She want to put 3 flower in each pot. Write an expreion to how how many pot he need to buy. Ue x for your variable
Alex needs to buy x / 3 pots to put 3 flowers in each pot.
What is variable ?
A variable is a value or a quantity that can change or take on different values in a mathematical expression or a scientific experiment. In mathematics and computer science, variables are often represented by letters or symbols, such as x, y, z, etc. These letters or symbols are used to represent an unknown value.
The expression to find the number of pots Alex needs to buy to put 3 flowers in each pot is ,
x = 3 flowers per pot
Number of pots = Total number of flowers / Flowers per pot
Number of pots = x / 3
So, Alex needs to buy x / 3 pots to put 3 flowers in each pot.
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x = 3 flowers per pot
Number of pots = Total number of flowers / Flowers per pot
Number of pots = x / 3
So, Alex needs to buy x / 3 pots to put 3 flowers in each pot.
URGENT!! WILL NAME BRAINLIEST
From a point on the ground, a person notices that a 103-foot antenna on the top of a hill subtends an angle of 1∘. If the angle of elevation to the bottom of the antenna is 27∘, find the height of the hill.
The height of this hill is given as : 51.88 feet.
How to solve for the height of the hill
We can use trigonometry to find the height of the hill. Let's call the height of the hill "h".
From the information given, we know that:
tan(27°) = h / (103/2)
h = (103/2) * tan(27°)
Using a calculator, we would have to go ahead to get the value of the variable h or height.
So that h ≈ 51.88 feet.
So, the height of the hill is approximately 51.88 feet.
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Let f(x) = g(x) ⋅ h(x), where g(x) i a linear function with an x-intercept of 2 and a lope of 4, and h(x) i a quadratic function with vertex (−2,−8) paing through the origin. What i f(x)?
The function f(x) is [tex]-32(x - 2)(x + 2)^2.[/tex].
A linear function has the equation f(x) = mx + b, where m is the slope and b is the y-intercept. In this case, g(x) is a linear function with an x-intercept of 2 (meaning it passes through the point (2,0)) and a slope of 4. So the equation for g(x) would be:
g(x) = 4(x - 2)
A quadratic function has the equation f(x) = [tex]a(x - h)^2[/tex] + k, where (h, k) is the vertex of the parabola. In this case, h(x) is a quadratic function with vertex (-2, -8) and passing through the origin (0, 0) so the equation for h(x) would be:
h(x) = [tex]-8(x + 2)^2[/tex]
Now since f(x) = g(x) ⋅ h(x), we can substitute the equation of g(x) and h(x) in the equation of f(x) to get the equation for f(x) :
f(x) = [tex]g(x) *h(x) = (4(x - 2)) * (-8(x + 2)^2)[/tex]
f(x) =[tex]-32(x - 2)(x + 2)^2[/tex]
So the function f(x) is [tex]-32(x - 2)(x + 2)^2[/tex].
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A triangular prism has an equilateral triangle base whose sides are 7 meters. The height of the prism is 4 meters
What is the lateral surface area
The lateral surface area of the prism is 81m².
All of an object's sides, excluding its base and top, are considered its lateral surface. The size of the lateral surface is referred to as its area. This must be distinguished from the total surface area, which consists of the base and top areas as well as the lateral surface area.
The total area of all of its faces is reduced to the lateral area. It can also be explained by multiplying the prism's height by the base's circumference.
The base's sides are each 7 meters long, which is a given.
Phase 7+7+7 = 21 meters is the perimeter.
We also know that the prism is 4 meters tall.
The lateral area is therefore
L = P base × h
L = 21m x4m
L = 81m²
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HURRY PLEASE!
Which function matches the following description?
"when finding the difference of the input and six, you will get the output"
A. x=y-6
B.y = 6 x
C.y=x-6
D. x = 6-y
Answer:
C. y=x-6
Step-by-step explanation:
x is input
y is output
difference is subtraction
Answer:
C.y=x-6
Step-by-step explanation:
x is input
y is output
output = input - 6
y = x - 6
What is the nature of roots of the quadratic equation 5?.
The nature of roots of the quadratic equation 5x^2 - 2x + 3 = 0 is complex number.
The nature of roots of a quadratic equation is determined by the discriminant, which is the value of b² - 4ac. In this case, the quadratic equation is 5x^2 - 2x + 3 = 0.
To find the discriminant, we can use the formula: b² - 4ac. In this case, a = 5, b = -2 and c = 3, so the discriminant is:
Discriminant = (-2)² - 4*5*3 = 4 - 60 = -56
The discriminant can be used to determine the nature of the roots:
If the discriminant is greater than 0, the roots are real and distinct.
If the discriminant is equal to 0, the roots are real and identical (i.e., the equation has only one root).
If the discriminant is less than 0, the roots are complex and not real numbers.
In this case, the discriminant is negative, so the roots of the equation 5x^2 - 2x + 3 = 0 are complex. The roots can be found by factoring the equation into (x + a + bi)(x + a - bi), where a and b are real numbers, and i is the imaginary unit (i² = -1).
--The question is incomplete, answering to the question below--
"What is the nature of roots of the quadratic equation 5x^2 - 2x + 3 = 0?"
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what is the slope and y-intercept of the graph below?
The y-intercept is 1 at the position (0,1) when x is 0 and y is 1.
What are the graph's slope and y-intercept?When the line to be examined's slope is known, and the provided point also serves as the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b).
B stands in for the y value of the y-intercept point in the formula.
The y-intercept of a graph is the place where it crosses (or contacts) the y-axis, according to the definition of y-intercept.
The x-coordinate is known to be zero on the y-axis.
Therefore, the equation for determining the y-intercept of a function y = f(x) just requires the substitution of x = 0 and y-solving.
The slope is the ratio of Y change to x change:
Slope = (0-1) / 4-0) = -1/4
Slope = -1/4
When x equals 0, the Y value is known as the Y intercept.
The y-intercept is 1 at the position (0,1) when x is 0 and y is 1.
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What is the solution to the system of equations y equals 1. 5 x 4?.
The solution to the system of equations y = 1.5x - 4 and y = -x is (1.6,-1.6)
The coordinates of the ordered pair (s) that satisfy all of the system's equations make up the solution set to an equational system. This means that the equations will be true for those x and y values. The intersection of all of the graphs, when a system of equations is graphed, is the solution.
These are the equations:
y = 1.5x - 4
y = -x
Put y = -x in place of y in the first equation.
-x = 1.5x - 4
Assemble similar terms
-1.5x - x = -4
This results
-2.5x = -4
Add -2.5 to both sides.
x = 1.6
Change y = -x to x = 1.6.
y = -1.6
As a result, the system of equations solution is (1.6,-1.6).
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i need help finding the vertex please i don’t understand anything
The vertex, Minima or maxima, Domain and range of the all given graphs are obtained.
Explain the minima and maxima of the function?The highest and smallest values of a function, respectively, can either be found inside a specific range or across the entire domain. They are sometimes referred to collectively as the function's extrema. The plural forms of a function's maximum and minimum are called maxima and minima, respectively.For the given question-
Part a:
Vertex : (-1, -4)
Minima or maxima: minima at x = -1
Domain: All real number.
Range: [-4, ∞)
Part b:
Vertex : (3, 4)
Minima or maxima: Maxima at x = 3
Domain: All real number
Range: [4, -∞)
Part c:
Vertex : (4, -4)
Minima or maxima: minima at x =4
Domain: All real number
Range: [-4, ∞)
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Is √ 64 a real number?.
Yes. 64 is a real number. Real numbers can be expressed as infinite decimal expansion.
Real numbers includes integers, natural numbers. Real numbers can be of positive and can be of negative numbers. Real numbers can be both a rational number or a irrational numbers. These two are the main groups of real numbers. Rational numbers are written as the ratio of two integers. Irrational numbers are not written as the ratio of two integers. Irrational numbers are the type of real numbers. 64 is a real number as well as a perfect square of a number. It is a perfect square of the 8. This explains the properties of Real numbers.
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This is meant to be easy apparently, help please
The value of the function f ( g ( 6 ) ) = -6
What is Composition of functions?Evaluation of a function at the value of another function is known as Composition of function. A function composition is a process in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.
Given data ,
Let the first function be represented as f ( x )
Let the second function be represented as g ( x )
Now , the value of f ( x ) = 6 - x
The value of g ( x ) = x + 6
To calculate the value of f ( g ( 6 ) )
Substitute the value of x = 6 in the equation , we get
g ( 6 ) = 6 + 6 = 12
Substitute the value of x = 12 in f ( x ) , we get
f ( g ( 6 ) ) = f ( 12 )
The value of the composition function , we get
f ( 12 ) = 6 - 12
f ( 12 ) = -6
Hence , the value of the composition function f ( g ( 6 ) ) is -6
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how many different passwords can be made from all the letters in the word CALCULUS ?
Answer:[tex]\frac{8!}{2!*2!*2!}[/tex] = 5040.
Step-by-step explanation:
Since CALCULUS has 8 letters with 2 indistinguishable C's,
2 indisnguishable L's and 2 indistinguishable U's, the answer is
[tex]\frac{8!}{2!*2!*2!}[/tex] = 5040.
ΔABC is a triangle with sides measuring 5 cm, 7 cm, and 9cm, using the law of cosines
find ∠A, ∠B, and ∠C.
The Law of Cosines states that for a triangle with sides a, b, and c and with angle C opposite side c, the relationship between the sides and the cosine of the angle is:
c^2 = a^2 + b^2 - 2ab * cos(C)
Since the triangle is a right triangle, we can use the Pythagorean theorem to find the value of the angle.
For ∠A:
c^2 = a^2 + b^2 - 2ab * cos(A)
9^2 = 5^2 + 7^2 - 257 * cos(A)
81 = 25 + 49 - 70 * cos(A)
81 = 74 - 70 * cos(A)
81 - 74 = -70 * cos(A)
7 = -70 * cos(A)
cos(A) = -7/70
A = arccos(-7/70)
For ∠B:
a^2 = b^2 + c^2 - 2bc * cos(B)
5^2 = 7^2 + 9^2 - 279 * cos(B)
25 = 49 + 81 - 98 * cos(B)
25 = 130 - 98 * cos(B)
130 - 25 = 98 * cos(B)
105 = 98 * cos(B)
cos(B) = 105/98
B = arccos(105/98)
For ∠C:
b^2 = a^2 + c^2 - 2ac * cos(C)
7^2 = 5^2 + 9^2 - 259 * cos(C)
49 = 25 + 81 - 90 * cos(C)
49 = 106 - 90 * cos(C)
106 - 49 = 90 * cos(C)
57 = 90 * cos(C)
cos(C) = 57/90
C = arccos(57/90)
Keep in mind that the values of the angle are in radians.
Please note that the triangle does not have to be a right triangle, the Law of Cosines works for any triangle.
Please help, its geometry and its multiple choice question.
In the given figure the Δ LHK is similar to ΔL'H'K' and also ΔL'H'K' is the dilation of Δ LHK centered at the origin with a scale factor of 3/2.
What are Similar triangles?Similar triangles, are those triangles which have similar properties,i.e. angles and proportionality of sides.
Here,
As shown in the figure,
Two triangles are given,
Δ LHK and ΔL'H'K'
Scale factor,
L'H'/LH = L'K'/LK = H'K'/HK = 3/2 [from the figure]
Thus, In the given figure the Δ LHK is similar to ΔL'H'K', and also ΔL'H'K' is the dilation of Δ LHK centered at the origin with a scale factor of 3/2.
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Is tan inverse equal to tan?.
No, the tan inverse is not equal to tan
A right triangle's opposing side to its adjacent side is calculated using the trigonometric function known as the tangent function (tan). It is described as tan(x) = adjacent/opposite. The opposite of the tangent function is called the inverse tangent function (tan-1). The angle whose tangent has the specified value is revealed. The formula for it is tan-1(y) = x, where tan(x) = y. An angle between -90 and 90 degrees is what is returned.
In other words, tan-1 undoes the tangent function because it is the inverse of the tangent function. In other words, the input of the tangent function is the output of the inverse tangent function. In conclusion, tan-1 and tan are inverse functions; they are not equal.
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Is 7x 5 3 x2+ 3 a composite number Justify your answer?.
Yes, 7×5×3×2 + 3 is a composite number.
A composite number is a positive integer that has at least one positive divisor other than 1 and itself. In other words, a composite number is a positive integer that can be written as a product of at least two positive integers.
In the number expressed by 7×5×3×2 + 3, we can take 3 as a common factor
7×5×3×2 + 3 = 3(7×5×2 + 1)
So the number has 3 as a factor other than 1 and itself, so it is a composite number.
Also 7×5×3×2 + 3 = 213 = 3×71. So it is not a prime number.
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Which subtraction expression does the number line model show?
The subtraction equation the inequality solve is
-9 + -4 = -13
What is a number line?A number line is a horizontal line with uniformly spaced numerical increments.
The number on the line can are represented depending on the numbers that are provided. A number is used to plot a point depending on the question that goes with it and the number type.
For the problem one unit represent a digit number with intervals of 1.
The shorter line is as -4 and the longer is at +9
adding bot together will be
= -9 + -4
= -9 - 4
= -13
hence the subtraction equation is -9 - 4 = -13
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Given mG H = 59 degrees and mEF=
123, Find m
Answer:
∠ J = 32°
Step-by-step explanation:
the secant- secant angle J is half the difference of the measure of the intercepted arcs, that is
∠ J = [tex]\frac{1}{2}[/tex] (EF - GH) = [tex]\frac{1}{2}[/tex] (123 - 59)° = [tex]\frac{1}{2}[/tex] × 64° = 32°
