In linear equations, 103.75 inches per month tall has it been since sarah planted the tree.
What are instances of linear equations?
Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5.When an equation is given in this format, finding both intercepts is rather simple (x and y).When attempting to solve systems involving two linear equations, this form is also quite helpful.Sarah planted a tree in her yard = 24 inches tall
grew at a rate =2.5 inches per month
When tree is now 41.5 inches tall = 41 . 5 * 2.5
= 103.75
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What is -2/5x + 3 = 2/3x + 1/3?
The value of x based on the given expression - 2/5x + 3 = 2/3x + 1/3 is 2 1/2
How to solve equation?- 2/5x + 3 = 2/3x + 1/3
collect like terms- 2/5x - 2/3x = 1/3 - 3
(-6 - 10)x / 15 = (1-9) / 3
-16/15x = -8/3
divide both sides by - 16/15x = - 8/3 ÷ -16 / 15
Multiply by the reciprocal of -15/16x = - 8/3 × -15/16
= (-8 × -15) / (3 × 16)
= 120 / 48
= 2 1/2
In conclusion, the solution to the expression - 2/5x + 3 = 2/3x + 1/3 is 2 1/2
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What number comes next in the following sequence: 8,13,18,23,28,...?
Which of the following is a whole number 1. 52. 03. 104. -9.05. 19/36.-7
The whole numbers are defined as numbers that include naturals and zero. Not a fraction, decimal or negative numbers.
So in this case, the whole numbers are: 5 ; 0; 10.
Find the length of the sides of the triangle ABC if the perimeter of the triangle is 33 inches.
The length of the sides of the triangle is 11 inches.
Triangle:
Triangle is defined as the three-sided polygon that consists of three edges and three vertices
Given,
If the perimeter of the triangle is 33 inches, then we have to find the sides of the triangle.
Let x be the sides of the triangle, we know that the triangle has 3 sides.
And lest us consider this one as equilateral triangle.
So, the formula for perimeter is,
Perimeter = 3 x sides
Here we know the value of perimeter then the value of the sides are,
33 = 3 x sides
sides = 11
So, the value of the sides is 11.
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which equation shows the multiplication property of equality if n + 4 = 11
The equation D show the multiplication property of inequality if n+4 =11
What is inequality ?
inequality, When two numbers or algebraic expressions are stated to be greater than, greater than or equal to, less than, or less than or equal to each other in order. Inequalities can be stated as either statements of fact in the form of theorems, which are solved using methods similar to those used to solve equations, or as questions. For instance, the triangle inequality states that the length of the remaining side is greater than or equal to the sum of the lengths of any two sides of a triangle. Many of these inequalities, including the Cauchy-Schwarz inequality, are used in the proofs of many of mathematical analysis' most significant theorems.
Sol-
If n+4 =11
Then by applying the product rule -
(n+4)×2 =11×2
So the correct option is D.
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Solve this system of equations by graphing. First graph the equations, and then type the solution.
Consider the first equation,
[tex]y=\frac{3}{2}x-2[/tex]This equation passes through (0,-2) and (2,1).
second
[tex]y=-\frac{1}{2}x+2[/tex]This equation passes through (0,2) and (4,0).
Now we can plot the points and join them to get the corresponding lines on the graph as,
It is observed that the two lines intersect at point (2,1).
So the solution to the given equations must be x=2 and y=1.
Ricardo can complete 4 laps around a track in 10 minutes. Create a graph that has a slope that represents the
number of laps Ricardo can run per minute.
Select two points on the coordinate grid. A line will connect the points.
HELP !!
The graph is attached below.
The number of laps completed by Ricardo in 10 minutes is 4.The number of laps completed by Ricardo in 1 minute is 4/10.Thus, slope is 0.4.We can form a linear function.The function "y" equals 0.4x.We have to graph the function.In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.y = 0.4xNow, we can get several pairs of coordinates that satisfy the above linear function.We plot the points on the graph and join them.We can see that the given function is an equation of a straight line that has a positive slope of magnitude 0.4 and passes through origin.To learn more about functions, visit :
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Help me with this please
nswer : D) 1I, II and III
Question 1
Scientists are studying the growth of a particular virus in a large community.
The case count, C, in the community after d days can be modeled with the equation: C =
181(1.07)d
What type of model is the equation?
O Linear Growth
O Exponential Growth
O Exponential Decay
O Linear Decay
Linear Decay is the equation .
What is Linear Decay?
A line with a negative slope can be used to model linear decline. for instance, that James now withdraws $10 every month from her piggybank, which originally held $100. The remaining balance in the piggybank can then be predicted using. A = 100 - 10t.Is linear decay exponential?
A linear function reduces the original number by the same amount each time, but exponential decay reduces the original amount by a constant percentage over time. Exponential decay differs from linear decay in this way: the decay factor depends on a percentage of the original quantity.Scientists are studying the growth of a particular virus in a large community.
The case count, C, in the community after d days can be modeled with the equation: C = 181(1.07)d
This equation is showing Linear Decay .
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Which expression is equivalent to −5 + 8 − 6x − 8x?
14x + 13
−14x − 3
−14x + 3
−14x + 13
[tex] = - 6x - 8x - 5 + 8 \\ = - 14x + 3[/tex]
The third option is the answer!!!
What is the equation of a line, in slope-intercept form, that has a slope of m=4 and passes through the point (5, 12) ? Enter your answer in the box.
The equation of line is given by y-12=4(x-5).
What is equation of line with slope intercept form?
The equation of a line in point-slope form can be written as
y-y_1=m(x-x_1) where (x_1,y_1) is the points line passes through.
(y-12)=4(x-5)
Where m=4 and x_1=5,y_1=12
Hence, the equation of line is
y=4x-5+12
y=4x+7
The equation of line with the form of slope intercept form is y-12=4(x-5).
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Simplify by finding the product of the polynomials below. Then Identify the degree of your answer. When typing your answer use the carrot key ^ (press shift and 6) to indicate an exponent. Type your terms in descending order and do not put any spaces between your characters. (4t^2-5u)^2 This simplifies to: AnswerThe degree of our simplified answer is: Answer
The degree of our simplified answer is = 4
what is polynomials ?
Polynomials are sums of the terms of form k· x^ n, where k is any number and n is positive integers. polynomials are algebraic expression that consist of variable and coefficient. variables are also sometimes called Indeterminates
an example of polynomial with one variable is x^2+x-12.
so,
after expanding the identity (4t^2-5u)^2, it becomes:
16t^4+25u^2-40ut^2
as we know in case of polynomial highest degree from the polynomial is consider as the degree of that polynomial.
hence,
The degree of this equation is 4.
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At a benefit concert, eleven bands have volunteered to perform but there is only enough time for five of the bands to play. How many lineups are possible?
The number of ways that the line up can be possible when eleven bands have volunteered to perform but there is only enough time for five of the bands to play is 462 ways.
How to illustrate the information?Eleven bands have volunteered to participate in the charity concert, but there is only enough time for five of them to do so. This involves combinations and permutations, it should be highlighted.
Therefore, the number of ways that the line up can be possible will be:
n! / (n − r)!
where n is the number of things to choose from and we choose r of them
= 11! / (11 - 5)!5!
= 11! / 6!5!
= 462
There are 462 ways.
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help pls ill give 50 points (well im putting in 50 points)
The common difference of each given sequence is:
a. -3
b. 3
c. -4
d. 5
What is an Arithmetic Sequence/Progression?An arithmetic sequence or progression is defined as a series of numbers whereby each term of the sequence is determined by adding a constant (known as the common difference) to the previous term to get the next term in the sequence.
What is the Common Difference of an Arithmetic Sequence?The common difference is the number that is added to each term of an arithmetic sequence to get the next term of the sequence.
How to Find the Common Difference of an Arithmetic Sequence?The common difference, d = difference between two consecutive terms in the sequence.
Subtract the first term from the second term or the second term from the third term to get the common difference of the sequence.
a. Common difference = 7 - 11 = 4 - 7 = 1 - 4 = -3.
b. 23 - 20 = 26 - 23 = 29 - 26 = 3.
c. 12 - 16 = 8 - 12 = 4 - 8 = -4.
d. 3 - (-2) = 8 - 3 = 13 - 8 = 5
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Answer:
a. -3
b. 3
c. -4
d. 5
Step-by-step explanation:
Have a good day!
12. We have worked for along time
now. We're ...... ..... tired.
O O O O
A getting
B seeing
C sending
D meaning
Which expression is equivalent to the algebraic expression 8k5∙9k−2(6k2)2, where there are no variables in the denominator?
2k−181
2k81
2k−1
2k
The expression is equivalent to the 360[tex]k^2[/tex] - 48k
Given the Expression :
8k5∙9k−2(6k2)2
It means
(8k × 5) × 9k - 2(6k × 2) × 2
Now, Multiply the monomials
360[tex]k^2[/tex] - 2(6k × 2) × 2
Again, Multiply the monomials,
= 360[tex]k^2[/tex] - 48k
Hence, The expression is equivalent to the 360[tex]k^2[/tex] - 48k
What is Monomial ?
A monomial is a polynomial, which has only one term. A monomial is an algebraic expression with an single term but can have multiple variable and a higher degree too.
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Lisa randomly selected 30 adult dogs from two different breeds. She gathered data about their weights and created the dot plots
shown.
Select the true statement.
Breed A
24
Breed B
24
26
26
28
28
30 32
Weight (pounds)
34
po 32
Weight (pounds)
34
36
36
30
●
38
40
40
A.
Dogs of breed B typically weigh more than dogs of breed A
B.
Dogs of breed A and breed B typically weigh the same.
C. There is too much overlap to make a generalization comparing the weights of dogs of breed A and breed B.
D. Dogs of breed A typically weigh more than dogs of breed B.
The true statement is Statement A which is dogs of breed B typically weigh more than dogs of breed A using histogram in probability concept.
What is a histogram in probability?The likelihood of each possible occurrence is displayed on the y-axis of a probability histogram. A histogram is a statistical data display that makes use of rectangles to illustrate the frequency of data items in successive numerical intervals of equal size. The dependent variable is plotted along the vertical axis in the most typical type of histogram, while the independent variable is plotted along the horizontal axis. The distribution of data is depicted graphically in a histogram. A collection of neighboring rectangles, each with a bar that represents a certain type of data, is used to illustrate a histogram. Fill L1 with the values of the random variable (remember to use the class midpoints for continuous random variables). The associated percentages should be entered into L2 with a decimal format.
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thank u very much to whoever do this
Answer:
C
Step-by-step explanation:
20+80 = 100
a triangle equals 180* so
1080-100=80 or just use a calculator OR with your brain
Marks
Homework Progress
Adam has 18 counters.
He gives 10 of the counters to Lesley.
16/18 Marks
a) What fraction of the 18 counters does Lesley get?
Give your answer in its simplest form.
b) What fraction of the 18 counters does Adam have now?
Give your answer in its simplest form.
A number is stated mathematically as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction. The fraction of the counters that Lesley gets is 5/9.
What is meant by a fraction?A number is stated mathematically as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
A fraction exists a quantity that exists not a whole number. In Math's, a fraction usually contains a numerator and a denominator.
The fraction of the counters that Lesley gets
= number of counters she gets / total number of counters
= 10/18 = 5/9
Therefore, the fraction of the counters that Lesley gets 5/9.
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for f(x) = -2x+5, find the value of f(-1) + f(4)
Answer:
3 f
Step-by-step explanation:
(-1)+(4)
-+(4)
-+4
-f+4
-f+4
3
3
1. Find the quotient of the averages prices of gold in 2010 and 1970. What
does the quotient mean?
Answer:
35.224137931
Step-by-step explanation:
2010: 1266.66
1970: 35.96
1266.66/35.96=35.224137931
Without the actual data for the average prices of gold in 2010 and 1970, I cannot provide the exact quotient. However, if we assume that we have the data, we can calculate the quotient by dividing the average price of gold in 2010 by the average price of gold in 1970. The resulting quotient would indicate how many times more expensive gold was in 2010 compared to 1970.
For example, if the average price of gold in 2010 was $1,500 per ounce and the average price in 1970 was $35 per ounce, then the quotient would be:
$1,500 / $35 = 42.86
This means that the average price of gold in 2010 was 42.86 times more expensive than the average price in 1970.
It is important to note that the actual quotient will depend on the actual data for the average prices of gold in 2010 and 1970.
Given points J(3,3), A(5.4), and R(4,2), graph ofAJAR and its reflection image across the given line.R-axis
When we reflect a point along the x-axis, the x coordinate stays the same BUT the y coordinate is negated.
A point (x,y) becomes (x, -y)
et us apply this rule to the points J, A, and R. SThis is shown below:
[tex]\begin{gathered} J(3,3)\rightarrow J^{\prime}(3,-3) \\ A(5,4)\rightarrow A^{\prime}(5,-4) \\ R(4,2)\rightarrow R^{\prime}(4,-2) \end{gathered}[/tex]The graph of the triangle will look like >>>
The city is issuing bonds to raise money for a building project. You obtain a $6700 bond that pays 2% interest annually that matures in 5 years. How much interest will you earn?
The interest that will be earned when the city is issuing bonds to raise money for a building project is $670.
How to calculate the value?It should be noted that the formula for the calculation is the interest is given as:
Interest = Principal × Rate × Time / 100
where P = $6700
R = 2%
Time = 5 years
Interest = Principal × Rate × Time / 100
Interest = (6700 × 2 × 5) / 100
= 670
The interest is $670.
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im in a mega rush please help me fast
The equivalent expression of 2⁻³ / 2⁻⁵ will be 2².
Option A is true.
What is a mathematical expression?
Expression in math is defined as the collection of the numbers, variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The mathematical expression is,
⇒ 2⁻³ / 2⁻⁵
Now, The rule of exponent is;
[tex]\frac{a^{x} }{a^{y} } \\a^{x} * a^{-y} \\a^{x+ (-y)} \\a^{x-y}[/tex]
Hence, Solve the expression by rule of exponent as;
The mathematical expression is,
⇒ 2⁻³ / 2⁻⁵
⇒ 2⁻³ / 2⁻⁵
⇒ 2⁻³ × 2⁵
⇒ 2⁻³⁺⁵
⇒ 2²
So, 2⁻³ / 2⁻⁵ = 2²
Thus, The equivalent mathematical expression of 2⁻³ / 2⁻⁵ will be 2².
Option A is true.
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Introduction to Writing Proofs - A Geometry Performance project
Need help fast
The required expressions about the geometry figure can be proven as follows;
1. The measure of ∠2 and ∠3 are congruent by the substitution property of equality
2. ∠2 and ∠3 are congruent, (∠2≅∠3) by the property of equality
What is the property of equality?The property of equality are properties that enable the solution of algebraic equations to be found and they include, addition, subtraction, multiplication, division, reflexive, substitution, transitive and symmetric properties.
1. The required paragraph to prove that ∠2 ≅ ∠3 is as follows:
Given that ∠1 and ∠2 form a linear pair, then their sum is 180°. Given that the sum of the measure of ∠1 and ∠3 is also 180°, then the sum of ∠1 and ∠2 is equal to the sum of ∠1 and ∠3. Therefore, by the addition property of equality, ∠2 ≅ ∠3.
2. The two column proof is as follows:
Statement [tex]{}[/tex] Reasons
1. ∠ABC = ∠1 + ∠2 is ⊥ 1. Given
2. ∠ABC = 90° 2. Definition of a perpendicular line
3. ∠1 + ∠2 = 90° 3. Substitution property of equality
4. ∠1 and ∠3 are complementary 4. Given
5. ∠1 +∠3 = 90° 5. Definition of complementary
6. ∠1 + ∠2 = ∠1 +∠3 6. Substitution property of equality
7. ∠2 ≅ ∠3 7. Addition property of equality
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The regular price of an MP3 player was $200. During a holiday sale it is marked down by $60. What is the percent discount?A.60%B.34%C.30%D.28%
Given : Regular price of MP3 player was $200. It was marked down by $60.
Required: Percent discount
Explanation:
Marked Price = $200
Discount given = $60
[tex]Percent\text{ discount = }\frac{Discount\text{ given}}{Marked\text{ price}}\ast100[/tex]So, percent discount =
[tex]\frac{60}{200}\ast100=30\%[/tex]Final answer : Percentage discount is 30%
Solve the problem.
Find m so that x + 4 is a factor of 5x3+ 18x² + mx + 16
The value of m such that x +4 is a factor of 5x³ + 18x² + mx + 16 is; -4.
What is the value of m for which x +4 is a factor of 5x³ + 18x² + mx + 16?It follows from the task content that the value of m for which x +4 is a factor of 5x³ + 18x² + mx + 16 is to be determined.
Hence, if x + 4 is a factor, it follows that x = -4 is a zero of the expression.
Therefore; 5(-4)³ + 18(-4)² + m(-4) + 16 = 0.
-320 + 288 - 4m + 16 = 0.
-16 - 4m = 0
4m = -16
m = -16/4
m = -4.
Ultimately, the value of m for which x+4 is a factor of 5x³ + 18x² + mx + 16 is; -4.
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will give brainliest for correct answer
The correct approaches that can be used to solve the increase in area are
dr = 2Use differential to determine the change in the functionBase value of r is 42A(44) - A(42)The area of the circle has an estimated increment of 527.52 square mm
What are areas?The area of a shape is the amount of space on the shape
For all regular quadrilaterals, you multiply the side lengths to determine the area
How to determine the correct approach to the problem?From the question, the given parameters are:
Previous radius = 42
New radius = 44
Calculate the change in the radius
dr = New radius - Previous radius
Substitute the known values in the above equation
So, we have
dr = 44 - 42
Evaluate
dr = 2
The above method leads to a differentiation problem where dr = 2
So, the correct approaches to the problem include
dr = 2Use differential to determine the change in the functionBase value of r is 42A(44) - A(42)The change in the areaThe area of a circle is
A = πr²
Differentiate
d(A) = 2πr * dr
Where
r = 42
dr = 2
So, we have
d(A) = 2 * 3.14 * 42 * 2
Evaluate
d(A) = 527.52
Hence, the estimated increase in the area is 527.52 square mm
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divide550six by 50six
The quotient of 550six and 50six is obtained by the calculation to be 11 six
What is the quotient?We know that the result that we obtain after we have carried out a division operation is called a quotient. In this case, we have been required to carry out the operation of division in base six.
We could start by converting the both values to base 10 as follows;
(5 * 6^2) + (5 * 6^1) + (0 * 6^0) = 180 + 30 + 0 = 210 ten
(5 * 6^1) + (0 * 6^0) = 30 + 0 = 30 ten
Then we carry out the division in base ten; 210 ten/30 ten = 7 ten
We convert back to base six to obtain 11 six
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What has occurred if an increase in temperature accompanies a reaction?
Responses
Energy was released.
Energy was destroyed.
Energy was absorbed.
Energy was created.
The thing that has occurred if an increase in temperature accompanies a reaction is A. Energy was released.
How to illustrate the information?There are many other types of reactions in chemistry, but the exothermic reaction and the endothermic reaction are the two most common forms.
Respiratory reaction is an example of an exothermic reaction, which is one in which energy is released in the form of heat. Exothermic reactions transfer energy from the system to the environment, raising the ambient temperature.
An endothermic reaction is one in which energy is removed from the system during the process. An example of an endothermic reaction is photosynthesis, in which plants use solar energy to produce food.
Therefore, a chemical reaction is said to be exothermic when it releases energy and causes a change in the environment's temperature.
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