Considering the expression of a line, the y-intercept of the line given by the equation y=5x +16 is 16.
What is a linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.Slope in this caseIn this case, you know that the line is y=5x + 16
where:
the slope is 5.the ordinate to the origin is 16.Finally, the y-intercept is 16.
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The base of a 40 feet ladder is 8 feet from the wall how high is the ladder on the wall
The height of the ladder will be 39.19 feet.
What is trigonometry?The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.
Given that the base of a 40 feet ladder is 8 feet from the wall. The height will be calculated as,
H = √ ( 40² - 8² )
H = √ ( 1600 - 64 )
H = √ ( 1536 )
H = 39 feet
The height will be 39 feet.
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Which of the following is a like radical to
A like radical to the is given as [tex]-5\sqrt[3]{2x}[/tex] Option C.
Which is radical?The term radical can be used as the way that can be able to describe the irrational numbers and many of them can be shown by the use of a square root sign that can be used to describe it.
It is possible to operate on the radicals just in the same way that we can be able to add and subtract the algebraic terms but the fact is that the terms must have the same or like radicals.
This can be observed when we look at the given radical and the radical in option C.
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Soyala loves chocolate so much that after returning from Top Foods with some chocolate, she eats 5% of the chocolate she just bought. The next day she eats 5% of the remaining chocolate and continues to eat another 5% each day. What percent of the chocolate will Soyala have left after eight days? (Round your answer to the nearest whole percent.
Answer: After 8 days, Soyala will have approximately 3% of the chocolate left.
When Soyala eats 5% of the chocolate each day, the amount of chocolate left decreases by a factor of 1 - 0.05 = 0.95. Therefore, after 8 days, the amount of chocolate left is 0.95^8 = 0.0314 or 3.14%. Rounded to the nearest whole percent, this is 3%.
Step-by-step explanation:
An indirect proof is a type of proof in which a statement to be proved is assumed false.
True
False
A rectangular garden is 20 feet long and it measures 25 feet diagonal. What is the area in square feet
Answer: 500 square feet
Step-by-step explanation: 20 x 25 = 500
5
Select the correct answer.
What is the inverse of function f?
f(x) = √x + 7
O A. f¹(x) = (x-7)², for x ≥ 7
O B.
f¹(x) = x² + 7, for x ≥ -7
O c.
f¹(x) = x² - 7, for x ≥ 7
O D.
f¹(x) = (x + 7)², for x ≥ -7
f¹(x) = (x + 7)², for x ≥ -7 inverse function is the correct answer.
What is function?Function is a specific set of instructions that are designed to carry out a particular task or operation. Functions are commonly used in computer programming to organize code and make it easier to understand and maintain. A function can take input, such as a number or text string, process it, and return an output. This output can be used by other functions or for other purposes. Functions are also used in mathematics, where they are referred to as mathematical functions, and are the building blocks of algebra and calculus.
The inverse of a function f(x) = √x + 7 is f¹(x) = (x + 7)², for x ≥ -7.
This can be seen by substituting x with √x + 7 to get x + 7 = √x + 7, which can be rearranged to (x + 7)² = x. Therefore,
the inverse of the given function is f¹(x) = (x + 7)², for x ≥ -7.
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Determine the value of y for the inequality 3 times the quantity y plus one fourth end quantity is less than or equal to three fourths.
y ≤ 0
y ≥ 0
y is greater than or equal to negative 1 over 24
y is less than or equal to negative 1 over 24
Answer:
y ≤ 0
Step-by-step explanation:
8^2 + 5/3
evaluate show ur work!!:)
Answer:
I need this answer as well l. let me know
Answer:
65.7
Step-by-step explanation:
8^2 + 5/3
64 + 5/3
= 65.7
Solve.
5. x - 2 / 6 = - 4
Answer: X= -22
multiply both sides then move constant to the right then calculate whats left.
1. Given: A = {1,2,3}, B = {4,5,6} C = {a,b}
Find:
a. A x B b. B x C c. A x C
2. Given: A = (3,6,9), B = (4,5,6)
a. Find A x B
b. Find the relation that the first component is smaller than the second component.
Using the provided questions with the values of sets A,B and C, Applying the cartesian product, The answer is {(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)} and so on.
What is a mathematical expression?A mathematical expression is a combination of numbers, variables, and mathematical operations that defines a specific value or a set of values. Examples of mathematical expressions include 2+3, x^2+y^2, and sin(x) + cos(y). These expressions can be evaluated to find a specific numerical value or they can be simplified, rearranged or manipulated using algebraic rules.
What do you mean by cartesian product?In set theory, the Cartesian product of two sets A and B, denoted A x B, is the set of all ordered pairs (a, b) where a belongs to A and b belongs to B. It is the set of all possible combinations of elements from the two sets. For example, if A = {1, 2} and B = {a, b}, then A x B = {(1, a), (1, b), (2, a), (2, b)}. The Cartesian product is a fundamental concept in set theory and is used in many branches of mathematics, including linear algebra, topology, and graph theory. It can be extended to more than two sets, for example, the Cartesian product of three sets A, B, and C is denoted A x B x C and is the set of all ordered triples (a, b, c) where a belongs to A, b belongs to B, and c belongs to C.
1. A = {1,2,3}, B = {4,5,6} C = {a, b}
a. A x B = {(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)}
b. B x C = {(4,a),(4,b),(5,a),(5,b),(6,a),(6,b)}
c. A x C = {(1,a),(1,b),(2,a),(2,b),(3,a),(3,b)}
2. A = (3,6,9), B = (4,5,6)
a. A x B = {(3,4),(3,5),(3,6),(6,4),(6,5),(6,6),(9,4),(9,5),(9,6)}
b. Required relation = {(3,4),(3,5),(3,6)}
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The display summarizes home sales in the months from September to December.
Segmented bar chart titled home sales with four vertical bars. Each bar is divided into two parts, less than $150,000 and $150,000 or more. For September, less than $150,000 is 0 to 40 percent and $150,000 or more is 40 to 100 percent. For October, less than $150,000 is 0 to 45 percent and $150,000 or more is 45 to 100 percent. For November, less than $150,000 is 0 to 55 percent and $150,000 or more is 55 to 100 percent. For December, less than $150,000 is 0 to 68 percent and $150,000 or more is 68 percent to 100 percent.
Which of the following describes the data set?
The data is univariate and categorical.
The data is univariate and numerical.
The data is bivariate and categorical.
The data is bivariate and numerical.
The statement which correctly describes the data set include the following: D. the data is bivariate and numerical.
What is a bivariate data?In Mathematics, a bivariate data can be defined as a type of data set which comprises information that are based on two (2) variables, usually two types of related data.
What is a numerical data?In Mathematics and statistics, a numerical data can be defined as a type of data set that is primarily expressed in numbers only. This ultimately implies that, a numerical data simply refers to a type of data set consisting of numbers (numerals), rather than words or letters.
In conclusion, we can logically deduce that the given data set is both bivariate and numerical.
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Answer:
A.
Step-by-step explanation:
There is a difference in collecting information about a number, such as height, versus a subjective value, such as favorite ice cream. One can be quantified, and the other is described. This is the difference between categorical and numerical variables. Categorical variables may also be described as qualitative variables. Numerical variables may also be described as quantitative variables.
Not all data that use numbers are truly numerical. For example, if you survey individuals to get their area code, the result will show a variety of numbers. However, area codes are not a value that is logical to use for analysis. It is not useful to take the average of a group of social security numbers either. Use caution when classifying variables.
A bar graph or bar chart is typically used to represent categorical data.
Bar charts are used to represent categorical univariate data.
Hey man, I studied hard and aced my exam which included this question. Sucks when someone doesn't know their stuff right? Here is the correct answer and my explanation is directly from my teachers mouth.
Given that D( x ) = 2 x , select all of the following that are true statements. D( x ) is a direct variation. D( x ) is a function. D( x ) is a rule for the set of points (5, 10), (6, 12) and (-2, -4). x is the dependent variable. D(6) = 3
The True statements are:
A ) D ( x ) is a function.D ) D ( x ) is a direct variation.E ) D ( x ) is a rule for the set of points ( 5, 10), ( 6, 12 ) and ( -2, - 4 ).What is a Function?Each element of X is given exactly one element of Y by the function from a set X to a set Y. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
For D (x) = 2 x:
- x is the independent variable,
- D ( 6 ) = 2 · 6 = 12.
10 = 2 · 5, 12 = 2 · 9, - 4 = 2 · ( - 2 ).
True statements are:
A ) D ( x ) is a function.
D ) D ( x ) is a direct variation.
E ) D ( x ) is a rule for the set of points ( 5, 10), ( 6, 12 ) and ( -2, - 4 ).
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If the sum of a, b and c is twice the sum of a-b and a-c and the difference of a+b and a-c is 3 the value of a is?
The value of a is (5c-9)/3
What is word problem?Word problem is expressing a mathematical problems in words . Looking at the problem above
the sum a,b,c is twice the sum a-b and a-c.
This means that a+b+c = 2( a-b+a-c)
a+ b + c = 2( 2a-b-c)
a+b+c = 4a-2b -2c
collect like terms
3a = 3b + 2c
a = b+⅔c
and the difference of a+b and a-c is 3. Therefore,
a+b-(a-c) = 3
a+ b - a + c = 3
b+ c = 3
b = c-3
therefore substitute c-3 for b in 3a = 3b + 2c
3a =3( c-3) + 2c
3a = 3c - 9 +2c
3a = 5c -9
Therefore the value of a
a = (5c -9)/3
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. Frances and Muriel are picking peaches. Frances has 17 beaches, which is 2more than 3 times the number of peaches that Muriel has. Write an equation that could be used to find the number of peaches p Muriel has? PLS HElp thank u so much due
The number of peaches, p, that Muriel has is 5 and can be found with this equation: p = (17 - 2)/3.
What is an equation?An equation is a mathematical statement that shows that two or more mathematical expressions share equality.
The equality of the expressions is denoted by the use of the equation sign (=).
Equations have equivalent values.
The number of peaches that Frances possesses = 17
We are told that 17 is 2 more than 3 times the number that Muriel has.
This implies that the number of peaches that Muriel has, p, = 17 - 2 all divided by 3.
Equation: p = (17 - 2)/3
Check:
p = (17 - 2)/3
p = 15/3
p = 5
3 x 5 + 2 = 17
Thus, Muriel has 5 peaches while Frances has 17 peaches.
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Decide whether the quadrilateral is a parallelogram. Explain your answer.
I require assistance
Answer: 50°
Step-by-step explanation:
Hi ! As you can see, the whole angle on which there are the three angles is plane, so it is 180°.
And with this information, you can guess that : C = 180 - ( 65 + 65)
C = 180 - 130
C = 50°
You verify : 65 + 65 + 50 = 180, which means it should be correct, and there you go, hope it helped !
Chris wants to invest $9200 in a savings account. Determine the interest rate (simple interest) required for Chris 's investment to double in value in 20 years. Round your answer to the nearest tenth of a percent.
Answer: hope this helps
Let's call the interest rate i.
The formula for simple interest is: I = Prt, where P is the principal amount, r is the interest rate (expressed as a decimal), and t is the time in years.
Since Chris wants his investment to double in 20 years, we know that at the end of 20 years, the total amount in the account will be 2P = 9200*2 = 18400.
We can use the formula for simple interest to set up an equation:
I = Prt = 18400 - 9200 = 9200
Now we can solve for the interest rate:
r = I/Pt
r = 9200/ (9200*20)
r = 9200/18400
r = 0.5
The interest rate required for Chris's investment to double in value in 20 years is 0.5 or 50%. To express it as percentage and round it to the nearest tenth of a percent we can multiply by 100:
50% rounded to the nearest tenth is 50.0%
Step-by-step explanation:
The tape diagram shows that there are 90 teeth on a comb.
90
Complete the table to show different percentages of the teeth on the comb.
Teeth
90
100%
9
27
Percentage
% of 90 teeth
% of 90 teeth
% of 90 teeth
On solving the provided question, we can say that - the value of the percentage will be is = x = 10
What is percentage?A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.
X% of 90 is 9
[tex]x/100 X 90 = 9\\x = 9/90 X 100\\x = 10[/tex]
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find the value of a so that a line passes throght (-5,a) and (1,-10) has a slope of -4/3
[tex](\stackrel{x_1}{-5}~,~\stackrel{y_1}{a})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{-10})[/tex]
[tex]\stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-10}-\stackrel{y1}{a}}}{\underset{\textit{\large run}} {\underset{x_2}{1}-\underset{x_1}{(-5)}}} ~~ = ~~\stackrel{\stackrel{\textit{\small slope}}{\downarrow }}{\cfrac{-4}{3}}\implies \cfrac{-10-a}{1+5}=\cfrac{-4}{3}\implies \cfrac{-10-a}{6}=\cfrac{-4}{3} \\\\\\ -30-3a=-24\implies -30=-24+3a \\\\\\ -6=3a\implies \cfrac{-6}{3}=a\implies -2=a[/tex]
What is the end behavior of the graph of the polynomial function y = 10x⁹ - 4x?
O As X-co, y →∞ and as X→∞o, y8
O As X-∞, y →∞o and as X→∞o, y →-00
As X→→∞, y→→∞ and as X→∞, y →∞
O As X→→∞, y → and as X→∞, y →→∞
Answer:
The correct answer is: As X→→∞, y→→∞ and as X→∞, y →∞
Step-by-step explanation:
The end behavior of a polynomial function is determined by the leading term, which is the term with the highest degree. In this case, the leading term is 10x⁹, so as the value of x becomes very large, the value of the function will approach positive infinity. Similarly, as the value of x becomes very small (negative infinity), the value of the function will approach positive infinity.
The exam has 10 essay questions and 50 short questions. You have 90 minutes to take the exam (Note: You are not expected to answer every question). An essay question takes 10 minutes to answer and a short question takes 2 minutes. What linear inequalities describe the constraints on your time given above? Show the graph:
Answer correctly please!!!
The linear inequalities that describe the constraints are
x < 10
y < 50
10x+ 2y ≤ 90
How to determine the linear inequalities that describe the constraints?From the question, we have the following parameters that can be used in our computation:
Question types = Essay and Short questions
These parameters are then spiit as follows:
Essay questions = 10
Short questions = 50
An essay question takes 10 minutes to answer and a short question takes 2 minutes.
Because you are not expected to answer every question, we have
x < 10
y < 50
Where
x = essay question
y = short question
For the total time taken, we have
10x+ 2y ≤ 90
Hence, the linear inequalities are the inequalities above
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PLEASE HELP MEEEEEEEeEEE
a
its just counting
i think its a
The slope-intercept form of the equation 40x - y= 11 is?
The slope-intercept form of the equation 8x = 1/5y + 4 is?
This equation is in This equation is in slope intercept form. The y intercept is (0,-13) and the slope is 7.
What is slope-intercept form of the equation?When the slope of the line being studied is known, and the provided point is also the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b). The y value of the y intercept point is represented by b in the equation. A line's equation can be written in the slope-intercept form such that the slope (steepness) and y-intercept (where the line crosses the vertical y-axis) are instantly visible. A common name for this form is the y = mx + b form. If we know the slope between two points on a line, we can use that information to solve for the y-intercept in the slope-intercept equation y=mx+b.The slope intercept form of a linear equation has the following form where the equation is solved for y in terms of x:
y = a + bxb is the slopea is a constant term. It is the y intercept, the place where the line crosses the y axis.
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The ordered pairs (0, 5) and (1, 15) satisfy an exponential growth function. Write an
equation of the form f(x) = ab* for the function.
An equation of the form f(x) = abˣ for the function will be;
⇒ f (x) = 5 × 3ˣ
What is Function?A relation between a set of inputs having one output each is called a function.
Given that;
The ordered pairs (0, 5) and (1, 15) satisfy an exponential growth function.
Now,
Let an exponential growth function is,
⇒ f (x) = a bˣ
Here, The ordered pairs (0, 5) and (1, 15) satisfy an exponential growth function.
Hence, Substitute f (x) = 5 , and x = 0,
⇒ f (x) = a bˣ
⇒ 5 = a × b⁰
⇒ 5 = a × 1
⇒ a = 5
And, Substitute f (x) = 15. x = 1 and a = 5, we get;
⇒ f (x) = a bˣ
⇒ 15 = 5 × b¹
⇒ 15 = 5 × b
⇒ b = 15/5
⇒ b = 3
Thus, The exponential growth function is,
⇒ f (x) = a bˣ
⇒ f (x) = 5 × 3ˣ
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Ronald Werner purchased a digital surveyor's level for $1,399.99
in Lincoln, Nebraska, where the sales tax rate is 5.5%.
a. What is the sales tax?
b. What is the total purchase price?
The sales tax rate amount is $76.99.
The total purchased amount is $1476.99.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Cost of the digital surveyor's level = $1399.99
Sales tax rate = 5.5%
The amount of sales tax rate.
= 5.5/100 x 1399.99
= $76.99
The total purchased price.
= $76.99 + $1399.99
= $1476.99
Thus,
Sales tax is $76.99
The purchased amount is $1476.99.
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what is an equation of the horizontal line that passes through (-2,-9)
Answer: y=-9
Step-by-step explanation:
Answer:
y = -9
Step-by-step explanation:
This means that no matter what x is, y will be -9. This will created a horizontal line.
Some points on the line
(-9,-9) (-5,-9) (0, -9) (-2,-9) (5,-9)
A large western state consists of 2051 million acres of land.
Approximately 56% of this land is federally owned. Find the
number of acres that are not federally owned.
902.44 million acres that are not federally owned. 902.44 million acres can be written as 902440000 acres.
What is the percentage?
A percentage is a number or ratio expressed as a fraction of 100 in mathematics. The percent sign, "%," is commonly used, but the abbreviations "pct.", "pct," and sometimes "pc" are also used. A percentage is a number with no dimensions; it has no unit of measurement.
Given that the western state consists of 2051 million acres of land.
56% of this land is federally owned.
Total percentage represented by 100%.
The percentage of area that is not federally owned is (100 - 56)% = 44%.
Now multiply 44% by 2051 million acres to find the area.
The area is not federally owned is 44% ×2051 million acres
= (44/100) × 2051 million acres
= 902.44 million acres
1 million = 1000,000
902.44 million acres = 902.44× 1000,000 million
902.44 million acres = 902.44× 1000,000 million
902.44 million acres = 902,440,000 million
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What’s the correct answer answer asap for brainlist
Correct option is A, Simile - comparison using like keyword.
What are an example and a simile?A simile is a term that describes something by making a contrast.
For instance, "life" is comparable to "a box of chocolates." When you see the words like or as in a comparison, you may be sure you've found one.
When comparing something, a simile uses the words "like" or "as." It appeared as though there were a million people at the event because of how crowded it was. A metaphor directly compares two things by exchanging one for the other. For instance, that exam was lethal.
A metaphor compares two things by saying that one is like the other, but a simile says that one item is like the other.
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Given the following quadratic function determine the interval(s) on which the function is increasing.
In the quadratic function the interval(s) on which the function is increasing is x < 1
What do Increasing and Decreasing Intervals mean?The terms increasing and decreasing intervals refer to the points when a function is increasing or decreasing. By examining the sign of each interval's first derivative of the function, these intervals can be assessed.
When a function's first derivative is:
positive in an interval, the interval is said to be increasing.negative in an interval, the interval is said to be decreasing.For the quadratic graph, the vertex is the maxima having a value of (1, 3). The function is increasing from negative infinity to 1 as seen in the graph.
hence the correct answer is x < 1
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Base of the garden 7 1/2 feet and the height is 4 5/6 feet. What is the area?
Answer: 145/4
Step-by-step explanation:
1. Convert mixed numbers to improper fractions
Base = [tex]\frac{15}{2}[/tex] feet and Height = [tex]\frac{29}{6}[/tex]
2. Multiply the two fractions by multiplying the numerators and denominators separately
15 * 29 = 435
2 * 6 = 12
[tex]\frac{435}{12}[/tex]
3. Convert it into simplified form if required
[tex]\frac{435}{12}[/tex] = [tex]\frac{145}{4}[/tex]
