The additive inverse of 7/5 will be -7/5.
The additive inverse of any numeral is the opposite of that numeral. If a number is added to its additive inverse, the sum of both numbers becomes zero. In other words, the additive inverse is the number that is added to a given number to make the sum zero. That is what you add to a number to get zero is called its additive inverse.
That is, Number + Additive inverse = 0
OR
The negative of a number.
Now we are given the number
7/5
So, the additive inverse of 7/5:
⇒7/5 + Additive inverse = 0
⇒Additive inverse = -7/5
Thus the additive inverse of is 7/5 is -7/5.
--The given question is incorrect; the correct question is
"What will be the additive inverse of 7/5?"--
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press image for question
Answer:wach the vido
Step-by-step explanation:
Porter is visiting India and would like to purchase some local spices. He finds some spices that cost 401.39 rupees. If the current exchange rate is 1 dollar:73.6500 rupees, how much do the spices cost in U.S. dollars?
Answer:
hey
Step-by-step explanation:
An oven is being preheated . The temperature starts at 75F and increases at a constant rate for 8 minutes until it reaches the desired temperature , 350F . it remains the same temperature for 27 minutes . then the temperature decreases at a constant rate for 5 minutes until it reaches 175 , where it remains steady to keep the food warm , sketch a graph to represent the situation .
Answer:
The required linear function for the temperature T, in degrees Fahrenheit, of the oven m minutes from the time it was turned on until it reaches the desired temperature is T = 54m + 80.
Step-by-step explanation:
Given that,
An oven is turned on and set to reach the desired temperature of 350 degrees Fahrenheit. The oven warms up at a constant rate. The oven’s temperature is 134 degrees Fahrenheit at 1 minute and it reaches its desired temperature at 5 minutes.
What are functions?
Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is the independent variable while Y is the dependent variable.
Here,
At time m = 1 min, temperature T = 134 °F
At time m = 5 min. temperature T = 450 °F
Slope of the equation M = 450 - 134 / 5 - 1
= 216 / 4
= 54
Linat relationship can be given as,
T - 134 = 54 (m - 1)
T = 54m -54 + 134
T = 54m + 80
Thus, the required linear function for the temperature T, in degrees Fahrenheit, of the oven m minutes from the time it was turned on until it reaches the desired temperature is T = 54m + 80.
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Please help me fast thank you
Answer:
x=32°.
Step-by-step explanation:
Exterior angle add up to 360°
85°+71°+2x°+3x°+44°=360°
=2x°+3x°+200°=360°
=5x°=360°-200°
=5x°=160°
=5x/5=160/5
x =32°.
Which expression is equivalent to the given expression?
√45
A. 5√9
B. 3√5
C. 9√5
D. 5√3
if f(x) = x^3 -12x^2 + 29x + 42 and f(7) = 0, then find all zeros of f(x) algebraically
The zeroes of the polynomial f(x) are 7, 6 and -1. The solution is obtained by the method of polynomial long division.
What is polynomial long division?
A long division polynomial is a formula for dividing one polynomial by another of the same degree or lower. The divisor, quotient, dividend, and remainder are all components of the long division of polynomials, just like they are for long division of numbers.
We are given f(7) = 0.
This means that (x-7) is one factor of f(x).
Using Polynomial Long Division,
Dividing : x^3 -12x^2 + 29x + 42 ("Dividend")
By : x-7 ("Divisor")
Dividend x^3 - 12x^2 + 29x + 42
- divisor * x2 x^3 - 7x^2
Remainder - 5x^2 + 29x + 42
- divisor * 5x - 5x^2 + 35x
Remainder - 6x + 42
- divisor * (-6) - 6x + 42
Remainder 0
Quotient : x^2-5x-6
Remainder: 0
Now, factoring x^2-5x-6 , we get
⇒x^2-6x+x-6
⇒x(x-6)+1(x-6)
⇒(x+1)(x-6)
Thus, the factors are (x+1), (x-6) and (x-7).
Hence, the zeroes of the polynomial f(x) are 7, 6 and -1.
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Which equation describes the same line as y-6=-4(x+1)
Answer:
y = -4x + 2
Step-by-step explanation:
y-6=-4x+4
y = -4x - 4 + 6
y = -4x + 2
PLS HELPPP (algebra 2)
Given f(x)=4(2)^x
a. find f(4)
b. write your answer as a logarithmic expression
a) The numeric value at x = 4 is given as follows: f(4) = 64.
b) The logarithmic expression is given as follows: x = log2(16).
How to find the numeric value of a function or of an expression?To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.
The function for this problem is defined as follows:
f(x) = 4(2)^x.
At x = 4, the numeric value is found replacing the lone instance of x by 4, hence:
f(4) = 4(2)^4 = 64.
For the logarithmic expression, we obtain the inverse function, hence:
64 = 4(2)^x.
2^x = 16
x = log2(16).
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3/4 ( x + 8 ) = 1/2 ( x - 6) what is the solution to this equation?
The solution for this equation is x = -36
3/4 ( x + 8 ) = 1/2 ( x - 6)
(Opening the brackets)
(3x + 24)/4 = ( x - 6)/ 2
By cross multiplication,
2(3x + 24) = 4( x - 6 )
6x + 48 = 4x - 24
(Taking the Variable to one side)
6x - 4x = - 24 - 48
2x = - 72
x= - 72/2
x = -36
Hence, the solution for this equation is x = -36
If a block is drawn from the box as shown above 200 times with replacement, predict the number of times the block drawn will have
the vowel A.
The letter E would be drawn roughly 40 times, but probably not exactly 20 times.
What does probably mean?The area of mathematics known as probability deals with numerical representations of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an occurrence, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
P(A) = f / N determines probability, which quantifies the possibility of an event happening. Probability and odds are connected, but probability is necessary for odds to exist.
Statistical formula
P(A) stands for the likelihood that event A will occur.
f = Number of possible outcomes of an event (frequency)
N stands for the total number of outcomes.
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HELP PLEASE ASAP!!! PRECAL!!
The average rate of change from x = 1 to x = 5 is given as follows:
-1.25.
How to obtain the average rate of change?The average rate of change of a function is given by the change in the output divided by the change in the input.
The numeric values for the function graphed are given as follows:
f(1) = 7.5.f(5) = 2.5.Hence the change in the output is given as follows:
2.5 - 7.5 = -5.
The change in the input is given as follows:
5 - 1 = 4.
Hence the average rate of change is given as follows:
-5/4 = -1.25.
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Find the area of these shaded regions (10-12)
The area of the shaded region is h² +6h, 3x²- 3x and r².
What is Area?•The amount of space occupied by a flat (2-D) surface or an object's shape is known as its area. Draw a square on a piece of paper using a pencil. A 2-D figure, that is. The term "Area" refers to the area that a shape occupies on paper.
•The surface area of a specific 2-D shape is measured as the number of unit squares needed to cover its whole surface area.
•Area measurements are frequently expressed in square cm², square feet, square inches, square meters, etc. Draw unit squares with sides of 1 centimeter to determine the area of the square figures shown below. In order to measure the shape, we shall use the unit cm² or square centimeters.
1st figure
area of shaded region = outer rectangle - inner rectangle
= 3h(h+2) - 2h(h)
= 3h² +6h- 2h²
= h² +6h
area of shaded region = outer rectangle - inner rectangle
= 3x²- 3x
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Is molar mass equal to Avogadro's number?.
Yes, The molar mass of a substance is defined as the mass of 1 mol of that substance, expressed in grams per mole, and is equal to the mass of 6.022 × 10²³(Avogadro's number) atoms, molecules, or formula units of that substance.
The Avogadro constant, A, is the number of particles (such as atoms, molecules, or ions) in one mole of something. Its value is modernly defined as exactly 6.022 140 76 × 10²³. (As it is a pure number, it has no units.)
So, in 1 mol of helium, which has a mass of (very close to) 4 g, there are A
atoms; in 1 mol of sucrose, with a mass of 342 g, there are A molecules.
We can have moles of other kinds of things, including subatomic particles. The amount of charge known as the faraday is the charge of one mole of electrons (A of them; about 96 500 C).
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What is the differentiation of log 7 x?.
The derivative of log₇(x) is 1/(xln(7))
To find the derivative of log₇(x), we can use the chain rule and the properties of logarithms.
The chain rule states that if we have a composite function, such as y = f(g(x)), then the derivative of y with respect to x is given by
dy/dx = dy/dg * dg/dx.
In this case, y = log_7(x) and g(x) = x, so
dy/dx = d/dx (log_7(x))
As by logarithmic property log₇x = ln(x)/ ln(7)
dy/dx = d/dx (ln(x)/ln(7))
To find the derivative of ln(x), we can use the property that the derivative of ln(x) is 1/x. This is because the natural logarithm function is the inverse of the exponential function eˣ, and the derivative of eˣ is eˣ. Therefore, the derivative of ln(x) is the reciprocal of x, or 1/x.
The differentiation of log₇(x) is given by:
d/dx (log₇(x)) = (1/x) * (d/dx (x)) * (1/ln(7))
= (1/x) * 1 * (1/ln(7))
= 1/(x ln(7))
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Expert need please follow the directions below and answer accurately it will be greatly appreciated. Thank you
Answer:
a. [tex]62^{\frac{1}{3}} = \sqrt[3]{62}[/tex]
b. [tex]220^{\frac{1}{2} = \sqrt{220}[/tex]
a. [tex]\sqrt[3]{240} = 240^{\frac{1}{3}}[/tex]
b. [tex]\sqrt{5} = 5^{\frac{1}{2}}[/tex]
Step-by-step explanation:
Which of the following reasons states why line
segment TV is congruent to line segment VT?
Vertical Angles
Reflexive Property
Transitive Property
Complementary Property
Answer:
complementary property
Step-by-step explanation:
©Thank You
Answered By Solution 49
The father of maria is x years old. Which expression best represents maria's age if she is 13 of her father's age?.
The expression that best represents maria's age if she is 13 of her father's age is y = x/3
Given that,
The age of Maria's father is x.
To find: Which equation best describes Maria's age if she is 13 years older than her father?
Father of Maria is x years old. We have to find the expression best represents Maria's age.
Let age of Maria = y years
If Maria is 1/3 of her father's age then we can write the expression as below.
Age of Maria y = x/3.
Therefore answer is " y = x/3 "
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Drag each tile to the correct box.
Match each type of insurance to its description.
life insurance
property and casualty insurance
health insurance
disability insurance
Description
provides for the replacement of earned income
lost because of a person's inability to work
covers damages to property
provides benefits to a policyholder's beneficiary
(or beneficiaries) when the policyholder dies
pays for medical treatment in the event of an
illness
Type of Insurance
This type of insurance is designed to provide financial protection for the policyholder's loved ones in the event of their death.
Explain about types of Insurance:Life insurance: provides benefits to a policyholder's beneficiary (or beneficiaries) when the policyholder dies.Property and casualty insurance: covers damages to property. This type of insurance provides protection for the policyholder's property, such as a home or car, from losses due to accidents, theft, or natural disasters.It also covers the policyholder's liability in the event that they are found responsible for damages to someone else's property.Health insurance: pays for medical treatment in the event of an illness. Disability insurance: provides for the replacement of earned income lost because of a person's inability to work. It can also cover preventive care and certain preventive treatments.To learn more about insurance refer to:
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Lola ay thee two expreion have the ame value. Expreion A
Expreion B
Left-bracket (StartFraction a Over b EndFraction) Supercript negative 4 Baeline Right-bracket Supercript 0
Left-bracket (StartFraction a Over b EndFraction) Supercript 0 Baeline Right-bracket Supercript negative 4
Which explain whether Lola i correct?
Each phrase has a value, Lola is right. Because each equation has a value of 1, Lola is right.
These two phrases, according to Lola, have the same value.
Equivalent expressions are those that have the same value. In mathematics, equivalent numbers and statements frequently appear. Let's think about a few instances. Since the decimal numbers 0.5 and the fraction 1/2 have the same value, they are comparable numbers.
[a/b -] Expression A Expression B
0 [ a/b 0]-4 Which clarifies if Lola is right.
Because each phrase has a value, Lola is right. Because each equation has a value of 1, Lola is right.
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Complete question
Lola says these two expressions have the same value.
Expression A
Expression B
Left-bracket (StartFraction an Over b EndFraction) Superscript negative 4 Baseline Right-bracket Superscript 0
Left-bracket (StartFraction a Over b EndFraction) Superscript 0 Baseline Right-bracket Superscript negative 4
Which explains whether Lola is correct?
Lola is correct because each expression has a value of 0.
Lola is correct because each expression has a value of 1.
Lola is not correct because the value of expression A is 1 and the value of expression B is (StartFraction b Over a EndFraction) Superscript 4.
Lola is not correct because the value of expression A is (StartFraction b Over a EndFraction) Superscript 4 and the value of expression B is 1.
solve:16^x+64=5*4^x-1
Y = [tex]4^{x}[/tex] + 64 = 5y - 1, x = (5y - 65)/16, and x = (20*[tex]4^{x}[/tex] - 260). Take the logarithm of both sides, apply the laws of logarithms, and solve for x.
What is logarithm?A logarithm is a mathematical function for expressing the relationship between two integers. It is the exponent to which a base number must be increased in order to equal a particular number. The base-10 logarithm of 100, for example, is 2, because 10 to the power of 2 equals 100.
Let y = [tex]4^{x}[/tex]
[tex]16^{x}[/tex] + 64 = 5y - 1
[tex]16^{x}[/tex] = 5y - 65
Dividing both sides by 16
x = (5y - 65)/16
x = (5*[tex]4^{x}[/tex] - 65)/16
Substituting y = [tex]4^{x}[/tex]
x = (5*([tex]4^{x}[/tex]) - 65)/16
Simplifying,
x = (5*[tex]4^{x}[/tex] - 65)/16
x = (20*[tex]4^{x}[/tex] - 260)/16
Divide both sides by 20
x = ([tex]4^{x}[/tex] - 13)/2
Take the logarithm of both sides:
log(x) = log([tex]4^{x}[/tex] - 13)/2
Apply the laws of logarithms:
log(x) = x*log(4) - log(13)/2
Solve for x:
x = (log(13)/2)/log(4) - log(x)/log(4)
x = (log(13)/2 - log(x))/log(4)
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The cost of breakfast cereal is R35 for 1kg calculate how much 25kg of breakfast cereal will cost
Answer:
R875
Step-by-step explanation:
We know
R35 = 1kg of breakfast cereal
? = 25kg of breakfast cereal
35 times 25 = R875
So, 25kg of breakfast cereal will cost R875.
How do you graph Y <- 3x 5?.
The equation y=3x+5 depicts a straight line with a slope of -3 and a y-intercept of 5, and it is written in slope intercept form. Replace x with any number and solve for y to find ordered pairings that can be graphed.
How are linear equations graphed?Write the equation in the form y = mx + b to determine the slope m and the y-intercept. This will allow you to graph the equation using the slope and y-intercept (0, b). Plot the y-intercept next. 3) Depending on whether the slope is positive or negative, go up, down, or left or right from the y-intercept.
How is a function graphed?You must choose x-values and insert them into the equation in order to graph a function. You will obtain a y-value if you enter those values into the equation. Your coordinates for a single point are made up of your x-values and your y-values.
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Full Question = What kind of line does the linear inequality y=3x+5 represent?
a test is worth 100 points each problem is worth either 2 points or 5 points the number of 5 point problems is22 less than the number of 2 point problems how many problems of each type are on the test
The test had 30 number of problem worth 2 points and 8 number of problem worth 5 points
What is an equation?An equation consists of numbers and variables linked together by mathematical operations to form an expression.
Let x represent the number of 2 points and y represent the number of 5 points.
The number of 5 point problems is 22 less than the number of 2 point, hence:
y = x - 22
x - y = 22 (1)
Also, the test is worth 100 points, hence:
2x + 5y = 100 (2)
From both equations:
x = 30, y = 8
30 number of problem worth 2 points and 8 number of problem worth 5 points
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How to solve a three variable system of equations on a calculator?.
The 3-Systems of Equations Calculator is an online tool that provides the answer for the unknown variables after solving three equations with three different variables each utilizing a different approach.
To resolve equations involving the three variables x, y, and z, use the 3 systems of equations calculator. A group of three equations with three variables make up the three systems of equations. Three equations are entered, the equations are rearranged, and the values of x, y, and z are solved for.
This calculator can also calculate equations of the second and third degree, which result in complex solutions for the variables x, y, and z. Three actual solutions are provided by the calculator if the equation system is linear.
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What is an example of a perfect trinomial?.
Examples of perfect trinomials are-
x 2 + y 2 + XY,
A trinomial that can be expressed as the square of a binomial is referred to as a perfect square trinomial. Remember that the square of the first term, twice the product of the first two terms, and the court of the final time are the results of squaring a binomial. The perfect square trinomial expression can be created by taking the binomial equation's square. If and only if a trinomial satisfying the condition b 2 = 4ac has the form ax 2 + bx + c, it is said to be a perfect square. The outcome variables are (x + r) and (x + s). For instance, to factor x2 + 7x + 10, you need to find two numbers whose sums are 7 (the middle term's coefficient), and 10.To learn more about polynomials here
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Find The coordinate of the interection of the diagonal of a parallelogram with the vertical WXYZ
The coordinate of the intersection is (k, m*k + b).
A parallelogram is a four-sided shape with opposite sides that are parallel. The diagonal of a parallelogram cuts the shape into two congruent triangles. The coordinates of the intersection of the diagonal of a parallelogram with the vertical line of the parallelogram can be found by solving the equation of the line that forms the diagonal and the equation of the vertical line.
If the diagonal of the parallelogram is given by the equation y = mx + b, where m is the slope of the diagonal and b is the y-intercept, and the vertical line is given by the equation x = k, where k is the x-coordinate of the vertical line.
To find the x-coordinate of the intersection point, we can substitute x = k into the equation of the diagonal:
x = k
Then, we can substitute this value of x into the equation of the diagonal:
y = mx + b
This will give us the y-coordinate of the intersection point.
So, the coordinate of the intersection is (k, m*k + b)
Note: You need the equation of the diagonal and the equation of the vertical line to find the intersection point.
Therefore, The coordinate of the intersection is (k, m*k + b).
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x = k
Then, we can substitute this value of x into the equation of the diagonal:
y = mx + b
This will give us the y-coordinate of the intersection point.
So, the coordinate of the intersection is (k, m*k + b)
You need the equation of the diagonal and the equation of the vertical line to find the intersection point.
Therefore, The coordinate of the intersection is (k, m*k + b).
i need help with this
The measure of ∠V of the parallelogram is = 150.5°
What is a Parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure
The four types are parallelograms, squares, rectangles, and rhombuses
Properties of Parallelogram
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent.
Same-Side interior angles (consecutive angles) are supplementary
Each diagonal of a parallelogram separates it into two congruent triangles
The diagonals of a parallelogram bisect each other
Given data ,
Let the measure of the angle ∠Y = 10x + 27
Let the measure of the angle ∠W = 2x + 29
Now , for a parallelogram the opposite sides are congruent and opposite angles are congruent
Substituting the values in the equation , we get
10x + 27 = 2x + 29
Subtracting 2x on both sides of the equation , we get
8x + 27 = 29
Subtracting 27 on both sides of the equation , we get
8x = 2
Divide by 8 on both sides of the equation , we get
x = 1/4
Let the measure of the angle ∠Y = 10 ( 1/4 ) + 27
Let the measure of the angle ∠Y = 2.5 + 27
Let the measure of the angle ∠Y = 29.5°
Now , same-side interior angles (consecutive angles) are supplementary
Substituting the values in the equation , we get
angle ∠Y + angle ∠V = 180°
29.5° + m∠V = 180°
Subtracting 29.5 on both sides of the equation , we get
m∠V = 150.5°
Hence , the measure of m∠V = 150.5°
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D is the midpoint of AC, AE CF, AB IDE and BC L DF.
Prove AB=BC
Erika is 12 years older than her friend Nick. She is also 3 times as old as Nick. Let x represent Nick’s current age.
Answer:
Nick is 6 years old.
Erica is 18 years old.
Step-by-step explanation:
Hello!
We know that Erica is 12 years older than Nick, which also means she is 3 times older than Nick. We can represent this situation as two equations.
Let E be Erica's age, and x be Nick's age.
E = x + 12, and E = x* 3
Since E is equal to E, we can say that x + 12 = 3x.
Solve for xx + 12 = 3x12 = 2x6 = xThe value of x is 6. Nick is 6 years old, and Erica is 18 years old.
Out of 130 students interviewed it was observed that 30 read both comics and novels,10 read neither comics nor novels and twice as many students read comics as novels. How many students read [1] comics [2] novels [3] only 1 book
There are 60 pupils who don't read novels but read comic books, since there are twice as many students who do.
How to find the calculation?When two algebraic expressions have at least one unknown or variable, they are equal.
If they are novels and comic books:
novels
yes no
comics
yes 30 2x
no x 10
Since there are no other alternatives, the matrix's total number of digits must be 130.
30 + 2x + x + 10 = 130
Since x = 30 and 3x + 40 = 130,
The percentage of students that don't read comic books is x.
There are 60 pupils who don't read novels but read comic books, since there are twice as many students who do.
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