The height of the antenna on the roof of the local building is approximately 2 meters.
What is Pythagorean theorem?Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.
here, we have,
The situation forms a right angle triangle.
Properties of a right angle triangle:
One of its angles is equals to 90 degrees
The sides of the triangles can be calculated using Pythagoras theorem.
Therefore, let's find the height of the building and the radio antenna from the eye point.
Using trigonometric ratios,
tan 35° = opposite / adjacent
tan 35° = x / 28
where
x = the height of the building and the radio antenna from the eye point.
x = 28 tan 35
x = 28 × 0.700207
x = 19.60581 meters
Let's find the height of the building from his eye point.
tan 32° = y / 28
where
y = height of the building from his eye point
y = 28× tan 32°
y = 28 × 0.6248693
y = 17.496341 meters
Height of the antenna
= 19.60581 -17.496341
=2.109469
hence, Height of the antenna ≈ 2 meters
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85% of what number is 102?
Answer: 120
120 x 0.85 = 102
Have a good day!
Answer: 120
Step-by-step explanation: (102 x 100) / 85
whats the answer I dont get it
Answer:
Step-by-step explanation:
help me please !!! correct answer gets brainliest
Answer: 1/10 is literally only one out of 10. the fraction to a decimal is 0.1 so, 3 x 0.1 is 0.3 and 3 x 10 is 30.
0.3 is less than 30.
Step-by-step explanation:
A salesmen earns a basic salary of sh 35000 a month. He is entitled to a commission of 10% of goods sold above Sh 300,000, and a further commission of 12% of goods sold above sh 500,000 in one month he earned a total 13900, from the sales of sh 139000 from the sales made Determine the sales made in that month.
Answer:
Step-by-step explanation:
We can begin to solve this problem using mathematics. Let's name the total sales for the month "S".
We know that the salesman receives a 10% commission on sales over $300,000 and a 12% commission on sales above 500,000. As a result, we may construct the following equation:
Commission = 0.10 (S - 300,000) + 0.12 (S - 500,000) = 0.10 (S - 30,000) + 0.12 (S - 60,000) = 0.22 (S - 90,000).
We also know that the salesman receives a total commission of $13,900. So we can plug that number into the equation:
13,900 = 0.22S - 90,000
To obtain the value of S, multiply both sides of the equation by 90,000:
13,900 + 90,000 = 0.22S
103,900 = 0.22S
Finally, we can obtain the value of S by dividing both sides of the equation by 0.22: S = 472,273.63
As a result, the total sales for the month were Sh 472,273.63.
In each case below list the lettered measurements for angles or sides in desending order (from greatest to least)
The lettered measurements for angles or sides in descending order is a, b, c.
What is descending order?When a pattern of numbers in mathematics has a decreasing value, the numbers are said to be in descending order. It indicates that the numbers are sorted from highest to lowest.
A format where items are arranged from highest to lowest is known as descending order. These ideas have to do with money, fractions, decimals, and numbers.
In right triangle, the sides facing the acute angles are opposite to the angles. From the given triangle, you can see that:
Side "b" is facing angle 50°
Side "c" is the smallest side which facing the unknown angle (40°)
the third side is largest side of right triangle facing the angle 90°. this is the smallest side of second triangle because of side opposite to smallest angle.
Side "a" is facing the unknown angle of second triangle (100°)
So the correct descending order is a, b, c.
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What is the equation of a line that passes through the point 2 3 and 4 7?
The equation of a line that passes through the point (2, 3) and (4, 7) is y = 2x - 1.
In the given question, we have to find the equation of a line that passes through the point (2, 3) and (4, 7).
The general equation of line that passes through point is:
y - y(1) = m(x - x(1))
To find the equation of line we have to first find the slope of line by using the formula:
m = [tex]\frac{y(2)-y(1)}{x(2)-x(1)}[/tex]
The given points:
(x(1), y(1)) = (2, 3), (x(2), y(2)) = (4, 7)
m = [tex]\frac{7-3}{4-2}[/tex]
m = [tex]\frac{4}{2}[/tex]
m = 2
Now finding the line of equation.
We can use any of the point of the given.
m = 2, (x(1), y(1)) = (2, 3)
y - 3 = 2(x - 2)
Solving the equation using distributive property
y - 3 = 2x - 4
Add 3 on both side, we get
y = 2x - 1
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The complete question is:
What is the equation of a line that passes through the point (2, 3) and (4, 7)?
Solve the quadratic equation numerically (using tables of x- and y- values). X squared + 5 x + 6 = 0.
The solution of the given quadratic equation [tex]x^{2} +5x+6[/tex] = 0 is x = -2 and -3
Now, According to the question:
What is quadratic equation?
A quadratic equation is a second-order polynomial equation in a single variable x ax2+bx+c=0. with a ≠ 0 . Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The given quadratic equation is:
[tex]x^{2} +5x+6[/tex] = 0
To solve the equation:
Comparing the above equation with the standard form of quadratic equation:
[tex]ax^{2} +bx+c=0[/tex]
a =1 , b = 5 , c = 6
The roots of quadratic equation are given as follows:
x = (-b ± √ (b^2 - 4ac) )/2a.
x = (-5 ±√([tex]5^2[/tex]- 4(1)(6)) / 2 ×1
x = -5 ± 1/2
x = -2 , -3
Hence, The solution of the given quadratic equation [tex]x^{2} +5x+6[/tex] = 0 is x = -2 and -3
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Are there formulas in algebra?
Yes, there are formulas in algebra. Algebra is a branch of mathematics that deals with mathematical equations and their properties. Some common formulas in algebra include the quadratic formula, the slope-intercept form of a linear equation, and the distance formula. These formulas can be used to solve a wide variety of mathematical problems involving equations and variables.
1. (a + b)^2 = a^2 + 2ab + b^2
2. (a - b)^2 = a^2 - 2ab + b^2
3. (a + b) (a - b) = a^2 - b2
4. (x + a)(x + b) = x^2 + (a + b)x + ab
5. (x + a)(x - b) = x^2 + (a - b)x - ab
6. (x - a)(x + b) = x^2 + (b - a)x - ab
7. (a+b+c)^2 = a^2 + b^2 + c^2 + 2(ab + bc + ca)
8. a^3 + b^3 + c^3 - 3abc = (a + b + c ) ( a^2 + b^2 + c^2 – ab – bc – ca ) + 3abc
9. a^3 + b^3 + c^3 = 3abc (if a + b + c = 0)
PolynomialAn expression that consists of variables, constants, and exponents that are combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).
AlgebraWith the use of mathematical expressions, algebra is the area of mathematics that helps to depict situations or problems.
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Nora’s saving club changes an interest of 5.5% per annum on any amount borrowed by its members.If a members borrow $125000.00 how much does he pay often 1year
well, the charge for a year is just 5.5% of the amount so 5.5% of 125000
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{5.5\% of 125000}}{\left( \cfrac{5.5}{100} \right)125000}\implies \text{\LARGE 6875}[/tex]
Which function represents g(x), a reflection of f(x)
(10)' across the x-axis?
g(x) = -2 (10)
g(x) = - CE
g(x) = f (0)
g(x) = {(10)-x
The function that represent reflection of f(x) is given by g(x) = Negative two-fifths(10)x
Describe Reflection of a function:Similar to reflections regarding the y-axis, the x-axis reflections are fundamentally the same. The only distinction is that the points are mirrored from above the x-axis to below the x-axis, and vice versa, rather than along the y-axis.
Make sure you have studied how to perform basic vertical and horizontal translations before we move on to reflections across the y-axis.
The reflection across the co-ordinate axis which is x-axis is as follows;
Reflection about the x-axis
Pre-image point before reflection = (x, y)
Point of image after reflection = ((x, -y)
Therefore, the x coordinate remains the same while the y coordinate changes sign
For which given that f(x) = y = 2/5(10)x and g(x) = Reflection of f(x) across the x-axis, we have
Reflection about the x-axis
Pre-image point before reflection = (x, f(x))
cordinate of image after the reflection = (x, g(x))
Hence g(x) = -f(x) = -2/5(10)x.
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Complete question:
Which function represents g(x), a reflection of f(x) = Two-fifths (10)x across the x-axis? g(x) = Negative two-fifths(10)x g(x) = Negative two-fifths (one-tenth) Superscript x g(x) = Two-fifths (one-tenth) Superscript negative x g(x) = Two-fifths(10)-x
Which of the following can be possible lengths in cm of a triangle :
(A) 18,10,6
(B)6,2,8
(C)8,10,15
(D) 8,12,20
The given lengths (A) 18,10,6; (B) 6,2,8; (C) 8,10,15; and (D) 8,12,20 can be possible lengths of a triangle.
The length of the sides of a triangle are known as its dimensions. The sum of any two sides must be greater than the third side. That is, the sum of any two sides must be greater than the remaining side. This is known as the Triangle Inequality Theorem.
Let us consider the four possible combinations of lengths given in the question:
A) 18,10,6
The sum of any two sides must be greater than the remaining side.
18 + 10 = 28 > 6
10 + 6 = 16 > 18
6 + 18 = 24 > 10
Hence, this is a valid triangle.
B) 6,2,8
The sum of any two sides must be greater than the remaining side.
6 + 2 = 8 > 8
2 + 8 = 10 > 6
8 + 6 = 14 > 2
Hence, this is a valid triangle.
C) 8,10,15
The sum of any two sides must be greater than the remaining side.
8 + 10 = 18 > 15
10 + 15 = 25 > 8
15 + 8 = 23 > 10
Hence, this is a valid triangle.
D) 8,12,20
The sum of any two sides must be greater than the remaining side.
8 + 12 = 20 > 20
12 + 20 = 32 > 8
20 + 8 = 28 > 12
Hence, this is a valid triangle.
Therefore, all of the given lengths (A) 18,10,6; (B) 6,2,8; (C) 8,10,15; and (D) 8,12,20 can be possible lengths of a triangle.
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12. Two companies charge different amounts for the use of their dance halls. Party Time
charges a $100 flat fee plus $50 per hour. Let's Dance Company charges a $175 flat fee
plus $25 per hour. For what number of hours do the two companies charge the same
amount?
A. Write a system of linear equations to model the situation.
B. MP Use Tools Solve the system and identify when the two companies charge
the same amount. State what strategy and tool you will use to answer the question,
explain your choice, and then find the answer.
C. Show that the solution results in the same charge for both companies.
Answer:
A. Let x be the number of hours for which the companies charge the same amount.
Party Time: 100 + 50x = 175 + 25x
Let's Dance Company: 175 + 25x = 100 + 50x
B. To solve this system of equations, we can use substitution. We can start by isolating one of the variables on one side of the equation and then substitute that expression into the other equation.
x = 25
C. To show that the solution results in the same charge for both companies, we can substitute the value of x back into the equations for each company and see if they are equal.
Party Time: 100 + 50(25) = 100 + 1250 = 1350
Let's Dance Company: 175 + 25(25) = 175 + 625 = 800
1350 = 800
The two companies charge the same amount for 25 hours.
Find the number that makes the ratio equivalent to 8:9.
To find the number that makes the ratio 8:9 equivalent, we need to first understand the concept of equivalent ratios.Therefore, 9 is the number that makes the ratio 8:9 equivalent.
What is meant by ratio and calculation for above answer?Two ratios are equivalent if they have the same value, even though the numbers may be different.To find the equivalent number, we need to use the original ratio of 8:9 as a starting point.We can use one of the numbers in the ratio as a reference point, and then multiply both numbers by the same factor to find the equivalent ratio.For example, if we use 8 as the reference point, we can multiply both 8 and 9 by the same factor (let's say x) to find the equivalent ratio.So 8:9 becomes 8x:9x.Next, we can set the two ratios equal to each other: 8:9 = 8x:9x.Now, we can solve for x by dividing both sides by 8. This gives us x = 9/8.To find the number that makes the ratio equivalent to 8:9, we can multiply 8 by 9/8.8*(9/8)=9.Therefore, 9 is the number that makes the ratio 8:9 equivalent.To learn more about ratio refer:
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Alex opened an investment account that pays compound interest of 4% compounded annually. If he deposits $2,500 and makes no other deposits or withdrawals, how much interest will he earn at the end of 2 years?
Answer: $2,704.00
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 4/100
r = 0.04 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 2,500.00(1 + 0.04/1)(1)(2)
A = 2,500.00(1 + 0.04)(2)
A = $2,704.00
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $2,500.00 at a rate of 4% per year compounded 1 times per year over 2 years is $2,704.00.
Solve
-4.5 x (-2) =
Selection :
-0.9
9
0.9
-9
The solution to -4.5 x (-2) is 9.
What is the arithmetic calculation?
Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
The reason for this is that when two negative numbers are multiplied together, the result is positive.
This is because the negative sign on a number is similar to a "minus" sign, indicating that the number is less than zero.
When you have two "minus" signs together (in this case, one on -4.5 and one on -2),
they cancel each other out, leaving the positive product of 4.5 and 2, which is 9.
-4.5 is a negative decimal number, and -2 is also a negative integer number. When multiplied, it results in a positive number, which is 9.
Hence, the solution to -4.5 x (-2) is 9.
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how do i solve this/ what are the answers
Using properties of quadrilaterals, the value of z = 48.
What is a quadrilateral, for instance?
A quadrilateral has four straight sides and is a two-dimensional shape.. Quadrilaterals encompass geometries of parallelograms, trapezoids, rectangles, kites, squares, and rhombuses. What four characteristics does a quadrilateral have? There are four of them. There are four of them. 360° is the total of all interior angles. There are two diagonals in them.
The supplied figure makes it obvious that x=90 degrees because it is right-angled.
The figure is a kite, thus 5y+2=42, 5y=40, and y=8 are the results.
Since it's a kite, angle B must equal angle D, thus if we take ADO produces a triangle with O as the midpoint, thus x+z+42=180, 90+42+z=180, z=180-132, z=48.
This is the concrete answer.
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The mean number of pets owned by the population of students at a large high school is 3. 2 pets per student with a standard deviation of 1. 7 pets. A random sample of 16 students will be selected and the mean number of pets for the sample will be calculated.
What is the mean of the sampling distribution of the sample mean for samples of size 16 ?
A) 1. 7
B) 3. 2
C) 3.2/√16
D) 1.7/√16
E) √(1.7/16)
3. 2 is the mean of the sampling distribution of the sample mean for samples of size 16.
What is sampling distribution?The probability distribution of a statistic acquired from a bigger sample size taken from a certain population is known as the sampling distribution. The frequency distribution of a variety of possible outcomes for a population statistic makes up the sampling distribution of a specific population. When you repeat your survey or poll for all potential samples of the population, you get the sampling distribution of a proportion. For instance, you may repeat your poll several times and ask 1000 cat owners which cat food they prefer.The sum of a set of numbers divided by the total number of numbers in the set is known as the arithmetic mean, arithmetic average, or simply the mean or average in mathematics and statistics. A series of findings from an experiment, an observational research, or a survey frequently make up the collection.Hence,
3. 2 is the mean of the sampling distribution of the sample mean for samples of size 16.
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evaluate the expression when a=9 and b=8 .
The given expression at a = 9 and b = 8 is equivalent to 71.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.
Given is the mathematical expression as -
{b + 7a}
Given is the expression as -
{b + 7a}
For a = 9 and b = 8, we can write -
{b + 7a}
{8 + 7 x 9}
{8 + 63}
71
Therefore, the given expression at a = 9 and b = 8 is equivalent to 71.
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{The complete question is -
evaluate the expression when a = 9 and b = 8 :
b + 7a}
Can anyone please help me answer this question?
Using Binomial theorem find the first 5terms of the expansion
(3 − 5z)^14
[tex]\qquad \qquad \textit{binomial theorem expansion} \\\\ \qquad \qquad (3-5z)^{14}~\hspace{4em} \begin{array}{clcl} term&coefficient&value\\ \cline{1-3}&\\ 1&+1&(3)^{14 }(-5z)^0\\ 2&+14&(3)^{13}(-5z)^1\\ 3&+91&(3)^{12}(-5z)^2\\ 4&+364&(3)^{11}(-5z)^3\\ 5&+1001&(3)^{10}(-5z)^4 \end{array} \\\\[-0.35em] ~\dotfill\\\\ 3^{14}-14(3^{13})(5z)+91(3^{12})(5z)^2-364(3^{11})(5z)^3+1001(3^{10})(5z)^4 \\\\\\ 4782969-111602610z+1209028275z^2-8060188500z^3+13299311025z^4[/tex]
I find the key to binomial expansion is mainly to get coefficient that goes next as you see in the middle of the table above.
now, if wonder how I get it sequentially, namely as I go, for example, how did I get 91?
well, (14 * 13 )/ 2
the current coeffient times the exponent of the 1st term divided by the "exponent of the 2nd term plus 1"
how did I get 1001?
well, (364 * 11) / 4
and so on.
Triangle A B C. Angle C is 90 degrees. Hypotenuse side A B is c, C B is a, C A is b.
Solve the right triangle shown in the figure.
Side B C = 3.2 meters, angle B = 43.2 degrees, angle C = 90 degrees
a.
Angle A = 46.8 degrees, side A C = 1.9 meters, Side A B = 3.7 meters
c.
Angle A = 46.8 degrees, side A C = 5.3 meters, Side A B = 6.2 meters
b.
Angle A = 46.8 degrees, side A C = 5.3 meters, Side A B = 4.4 meters
d.
Angle A = 46.8 degrees, side A C = 3.0 meters, Side A B = 4.4 meters
Please select the best answer from the choices provided
see picture.......................
Option A. Angle A = 46.8 degrees, side A C = 1.9 meters, Side A B = 3.7 meters satisfies the conditions of the problem: angle C is 90 degrees, angle B is 43.2 degrees, and side B C is 3.2 meters.
What is a right triangle?A right triangle is a type of triangle in which one of the angles is a right angle (90 degrees). The side opposite the right angle is called the hypotenuse and is typically the longest side of the triangle.
The other two sides are called the legs and are typically shorter than the hypotenuse. The Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs, applies to all right triangles
Therefore, the remaining options (b, c, and d) do not satisfy the conditions of the problem and therefore are not correct.
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Which unit rate corresponds to the proportional relationship shown in the graph?
Drag and drop the answer into the box to match the graph with its unit rate.
The 3/2cm unit rate corresponds to the proportional relationship shown in the graph.
What is the rate of change?
The term "rate of change" (ROC) describes the rate at which something changes over time. Thus, it is not the number of individual changes themselves but rather the acceleration or deceleration of changes (i.e., the rate). The rate of change is a tool used in finance to comprehend price returns and spot trend momentum.
Here, we have
Given: points (0, 0) and (6, 9)
The term for the rate of change is the slope.
This means to find the unit rate, we use the formula for slope:
m = (y₂-y₁)/(x₂-x₁)
m = (9-0)/(6-0)
m = 9/6
m = 3/2cm
Hence, the 3/2cm unit rate corresponds to the proportional relationship shown in the graph.
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Two families attended a baseball game. The first family bought 3 bags of popcorn and 4 souvenir cups, which totaled $40. The second family bought 8 bags of popcorn and 4 souvenir cups, which totaled $60. How much did one bag of popcorn cost?
$4
$5
$6
$7
Answer: 5$ took test
Step-by-step explanation:
Answer:
Step-by-step explanation:
5 is the answer
Suppose mario either wants to earn no more than $500 or more than $500 to afford his phone. How would the inequalities be different based on these two phrases?
An inequality can be written in two different ways depending on the desired result. In both cases, the inequality is used to represent the desired result of Mario earning no more than or more than $500.
If Mario wants to earn no more than $500:
I ≤ 500
If Mario wants to earn more than $500:
I > 500
An inequality can be written in two different ways depending on the desired result. In the first case, Mario wants to earn no more than $500. This can be written as I ≤ 500, which means "I is less than or equal to 500". The symbol ≤ indicates that the maximum value for I is 500. In the second case, Mario wants to earn more than $500. This can be written as I > 500, which means "I is greater than 500". The symbol > indicates that the minimum value for I is 500. In both cases, the inequality is used to represent the desired result of Mario earning no more than or more than $500.
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How to solve -5 -1 / -6 -9i?
The solution to the complex number (-5 - i)/(-6 - 9i) is (1 - i)/3
What is an equation?An equation shows the relationship between numbers and variables in an expression.
Complex numbers are in the form a + bi, where both a and b are real numbers and i = √(-1)
Given that:
[tex]\frac{-5-i}{-6-9i} \\\\To\ solve\ multiply\ numerator\ and\ denominator\ by\ conjugate:\\\\=\frac{-5-i}{-6-9i} *\frac{-6+9i}{-6+9i}\\ \\=\frac{30-45i+6i+9}{36+81}\\ \\=\frac{39-39i}{117} \\\\=\frac{1-i}{3}[/tex]
The solution is (1 - i)/3
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write the given exponential function in the form and identify the initial value and the growth factor. q
The Initial value is computed at: 190
The Growth Factor is computed at: 0.5
A mathematical function called an exponential function is employed frequently in everyday life. It is mostly used to compute investments, model populations, determine exponential decline or exponential growth, and so forth. When the input variable x appears as an exponent in the formula f(x) = axe, an exponential function is indicated. The exponential curve is influenced by both the exponential function and the value of x.
Given: Q = 190 / 2t
To compute: If [tex]Q = ab^t}[/tex]
Then,
→ 1 / aˣ = (1 / a)ˣ
Now we know that:
∵ (1 / aˣ) = (1 / a)ˣ
⇒ Q = 190 / 2t = 190 * (1 / 2t)
⇒ Q = 190 * (1 / 2)
[tex]Q = 190 * (\frac{1}{2})^{t}[/tex]
[tex]Q = 190 * (0.5)^{t}[/tex]
Comparing the aforementioned expression to:
[tex]Q = ab^{t}[/tex]
Initial Value, a = 190
Growth Factor, b = 0.5
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at a shop, the ratio of union to non-union workers is 7 to 3. if there are 18 nonunion workers at the shop, how many union workers are there?
Answer:
42
Step-by-step explanation:
18/3 = 6
6*7 =42
a rectangular prism has a length of $3$, a width of $4$, and a height of $12$. what is the distance between two opposite corners of the prism?
The distance between two opposite corners of the prism is 13.
The distance between two opposite corners of a rectangular prism can be found using the Pythagorean theorem, which states that the square of the distance between two points is equal to the sum of the squares of the distances along the two axes that are perpendicular to each other.
In this case, the two opposite corners of the prism are the top-front corner and the bottom-back corner. The distance between these two corners is the hypotenuse of a right triangle with legs of length 3 (the length of the prism), 4 (the width of the prism), and 12 (the height of the prism).
So, using the Pythagorean theorem (a² + b² = c²), the distance between two opposite corners of the top of the rectangular prism is (3² + 4² = 5²) 5.
To determine the distance between two opposite corners of the prism, get the diagonal distance of the cross section made by the two opposite corners of the top of the rectangular prism.
d² = 5² + 12²
d = 13
Hence, the distance between two opposite corners of the prism is 13.
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The half-life of a radioactive kind of nitrogen is 10 minutes. If you start with 120 grams of it, how much will be left after 20 minutes?
If the half-life of nitrogen is 10 minutes, the gram that will be left out of 120 grams of nitrogen after 120minutes is 30grams
What is half-life ?Half-life, in radioactivity is the interval of time required for one-half of the atomic nuclei of a radioactive sample to decay (change spontaneously into other nuclear species by emitting particles and energy), or, equivalently, the time interval required for the number of disintegrations per second of a radioactive.
The half life is expressed as:
half life = 0.693/decay constant
The half life of Nitrogen is 10minutes
therefore 10 minutes = 1/2 of 120grams
20minutes = 1/4 of 120 = 120/4 = 30 grams.
Therefore the mass of nitrogen atom that will left in 20minutes is 30grams
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PLEASE HELP ASAP!!!!!!! THE QUESTION IS Find an equation for the inverse for each of the following relations. y= 1/2X+10. AND Find an equation for the inverse for each of the following relations. y= -8X+3
The inverse equations are F(x)⁻¹ = 2x - 20 and F(x)⁻¹ = ( x/ 8) + ( 3 /8).
What is an inverse function?A function is defined as the expression that set up the relationship between the dependent variable and the independent variable. In an inverse function, the value of two variables x and y are interchanged, and then the value of y is given an inverse function.
Given that the two equations are y= 1/2X+10 and y= -8X+3. The value of inverse functions will be calculated by replacing the x and y values and solving for y,
y = 1/2X+10
x = y / 2 + 10
y = 2x - 20
The inverse of the second equation is calculated as,
y= -8x+3
x = -8y + 3
y = x / 8 + 3 / 8
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correct answer gets brainliest (pls help asap
Answer:
C 40m + 0.73
Step-by-step explanation:
since it is 40 per month it would be 40m because the m stands for how many months the chocolate factory charges for delivery and the extra .73 for every chocolate bar is an add on which would make this 40m + 0.73