The number of blocks needed to make the 9th figure in the pattern is 24.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given that,
Dionne builds a pattern that is represented by the equation b = 2f + 6, where f is the figure number of the pattern and b is the number of blocks in each figure.
For the first figure, number of blocks = (2 × 1) + 6 = 8
For the 2nd figure, number of blocks = (2 × 2) + 6 = 10
This will go on.
For the 9th figure, number of blocks = (2 × 9) + 6 = 24
Hence there will be 24 blocks in the 9th figure.
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Of the neighborhoods in a county, the ratio of urban to rural neighborhoods is 5 : 3. Find the percent of rural neighborhoods in the county.
The percent of rural neighborhoods in the county is 37.5%.
What is Ratio to Percentage Conversion?
Converting a ratio into a percentage is done through a conversion process called ratio to percentage.Comparing two amounts of the same unit is done using the ratio, but a percentage is a particular kind of ratio where the sum is always equal to 100. When computing the percentage score on a test or when mixing up different elements, ratio to percentage conversion is useful.It is given that the ratio of urban to rural neighborhoods in a county is 5 : 3.
[tex]\implies \frac{\text Urban}{Rural} =\frac{5}{3}[/tex] -----(1)
The total neighborhoods can be given as,'
5 + 3 = 8 neighborhoods.
Thus, 5/8 parts are urban neigborhoods and 3/8 parts are rural neighborhoods.
Converting the ratio of rural neighborhoods to percentage, we get
[tex]\frac{3}{8} \times 100 =37.5 \%[/tex]
Therefore, the percent of rural neighborhoods in the county is 37.5%.
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(a) Work out an estimate for the value of √63.5 x 101.7
The estimate for the value of √63.5 x 101.7 is 816
How to determine the estimate of the expressionTo estimate the value of √63.5 x 101.7, we can round 63.5 and 101.7 to the nearest whole number and then find the square root and product.
Rounding 63.5 to the nearest whole number, we get 64.Rounding 101.7 to the nearest whole number, we get 102.So, √63.5 x 101.7 ≈ √64 x 102 = 8 x 102 = 816
Therefore, the estimate is 816
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What is the solution set to the inequality (4x-3)(2x-1)20?
{ x x 3 or x> 1}
x21}
{XX
0 {x1x5 - 1/2
or x2
4
or x2-
The solution set to the inequality (4x-3)(2x-1)20 is x ≤ 1/2 or x ≥ 3/4. Option C
What is an inequality?An inequality, is a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
(4x-3)(2x-1) ≥ 0
expanding the brackets
8x^2 - 4x - 6x + 3
8x^2 -10x +3
(8x^2 -6x) -(4x+3)
Factoring the common factors
2x(4x-3)-1(4x-3)
(2x-1)(4x-3) ≥ 0
2x-1 ≥ 0
dividing both sides by 2
x≤-1/2
4x-3≥0
Dividing both sides by 4
x≤3/4
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The first Epistle of John was written about A.D is :
45
60-65
90-95
97
The first Epistle of John was written about AD of between 95 and 110 . So, by this our option should be 97 AD, which is true.
The Fourth of the Catholic Epistles, The First Epistle of John[a] is the first of the Johannine epistles in the New Testament. The authorship of the Johannine writings is disputed among academics. The First Epistle's author is identified as John the Evangelist, who most scholars do not consider to be the same person as John the Apostle. The three Johannine epistles are thought to have been written by the same person by the majority of scholars, however it is unclear if the same person wrote the Gospel of John.
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a car dealer wants to send out marketing materials in hartville, missouri. the marketing materials state that customers will pay the lowest sales taxes in wright county at her dealership. what is the sample?
The sample is a specific subset of the entire group of individuals being studied. In this case, the sample is the city of Hartville, Missouri.
Sampling is the process of choosing a subset of people (a statistical sample) from a statistical population in order to estimate characteristics of the entire population. It is used in statistics, quality control, and survey technique. Statisticians try to get samples that are typical of the population under consideration. In situations where it is impractical to assess the complete population, sampling offers insights and is more affordable and quicker than doing so.
To find patterns and trends in the broader data set being reviewed, data sampling is a statistical analysis approach that is used to choose, modify, and analyse a representative selection of data points. It lets data scientists, predictive modellers, and other data analysts to construct and execute analytical models more quickly while still generating correct results by working with a limited, manageable amount of data about a statistical population.
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(1 pt) Find the value(s) of a making v= 3ai+2j parallel to w=(a^2)i+6j
The vectors v and w must be parallel if the value of an is 3/a2.
The parts of each vector must be proportionate for v to be parallel to w.
v = 3ai + 2j
w = (a^2)i + 6j
Therefore,
3a / a^2 = 2 / 6
3a = (2/6)a^2
a = 3/a^2
The components of each vector must be proportionate in order to make two vectors parallel. In this situation, we wish to make v parallel to w because we have two vectors, v and w. We can use the following equations to express v and w:
v = 3ai + 2j
w = (a^2)i + 6j
We need to determine the ratio between the x-components (3a and (a2)) and the y-components (2 and 6), as we can see that they are not currently proportionate. To do this, we can construct a proportional equation where the ratio is 3a / a2 on one side and 2/6 on the other. This problem can be solved for a by simplifying the equation to 3a = (2/6)a2. This yields a value of 3 / a2, indicating that the value of a must be 3 / a2 for v and w to be parallel.
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-7/9 * m = 11/6
what does m=
Answer: 33/14
Step-by-step explanation:
Which equations best match the table below. Select TWO correct answers.
Answer:
it's the 2nd one and the 4th one
Step-by-step explanation:
theyre just right
Answer:
when y=0 and x=0 then
y=-2x
=-2.0
=0
and y=2x
=2.0
=0
A 2-column table with 9 rows. The first column is labeled x with entries negative 5, negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3. The second column is labeled f of x with entries negative 6, negative 2, 0, 4, 4, 0, negative 2, negative 6, negative 10. Based on the table, which best predicts the end behavior of the graph of f(x)? Group of answer choices As x → ∞, f(x) → ∞, and as x → –∞, f(x) → ∞. As x → ∞, f(x) → ∞, and as x → –∞, f(x) → –∞. As x → ∞, f(x) → –∞, and as x → –∞, f(x) → ∞. As x → ∞, f(x) → –∞, and as x → –∞, f(x) → –∞.
The right answer is option B, which is "As x → ∞, f(x) → ∞, and as x → –∞, f(x) → –∞."
What is function?A function from a set X to a set Y allocates precisely one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain. Originally, functions were the idealization of how a variable quantity depended on another quantity.
Here,
First, you must graph all of the supplied points in the table in order to establish the final behavior.
Remember that the behavior of f(x) as x approaches positive and negative infinity is the end behavior of a function.
According to the graph, as x approaches positive infinity, f(x) approaches negative infinity, and as x approaches negative infinity, f(x) approaches negative inifinity. In other words, f(x) always approaches negative infinity in any situation.
The correct answer is option B that is "As x → ∞, f(x) → ∞, and as x → –∞, f(x) → –∞."
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Make a polynomial of the highest degree by using the whole numbers 1 through 9 at most one
time each.
The Polynomials which is of the highest degree using the whole numbers 1 through 9 as required is; x⁹ + x⁸ + x⁷ + x⁶ + x⁵ + x⁴ + x³ + x² + x.
Which is an example of a polynomial of the highest order?As required in the task content, it is required that the polynomial of the highest degree by using the whole numbers 1 through 9 at most one
time each is to be determined.
Hence, an example of such polynomial as required is; x⁹ + x⁸ + x⁷ + x⁶ + x⁵ + x⁴ + x³ + x² + x.
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The quadrilateral WXYZ is a square. The coordinates of the vertices W and X are (-3, 2) and (5, 3) respectively. Click to match each side of
the square with its slope.
Each side of the square should be matched with its slope as follows;
Side WX = 1/8.
Side YZ = -8.
How to determine whether the quadrilateral is a square by using slope?In order for a quadrilateral to be a square, the two (2) pairs of its sides must be equal (congruent) and perpendicular to each other. Therefore, we would have to calculate the slope of each side by using this mathematical expression:
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Where:
x and y represents the data points or side lengths of a quadrilateral.
For side WX, the slope is given by:
Slope (m) = (3 - 2)/(5 - (-3))
Slope (m) = (3 - 2)/(5 + 3)
Slope (m) = 1/8.
In Mathematics, a condition that must be met for two (2) lines or side lengths to be perpendicular is given by:
m₁ × m₂ = -1
1/8 × m₂ = -1
m₂ = -8
Slope (m₂) = -8
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Casho spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -10.4°F. Between 9am and noon, the temperature rose 9.5°F. Between noon and 3pm, the temperature went down 10°F. Between 3pm and 6pm, the temperature went down 18.6°F. What was the temperature at 6pm?
The temperature at 6 P.M. would be - 29 °F.
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 that Casho spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -10.4°F. Between 9 am and noon, the temperature rose 9.5°F. Between noon and 3 pm, the temperature went down 10°F. Between 3 pm and 6 pm, the temperature went down 18.6°F.
Temperature at 9 A.M. = - 10.4°F.
At noon, the temperature would be = - 10.4°F + 10°F = - 0.4°F
At 3 P.M., the temperature would be = - 0.4°F - 10°F = - 10.4°F
At 6 P.M., the temperature would be = - 10.4°F - 18.6°F = - 29 °F
Therefore, the temperature at 6 P.M. would be - 29 °F.
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The pie chart below shows the distribution of exercise books to six schools A, B, C, D, E and F in a town. School D was given 8,000 exercise books. F A B 60° 500 70% E 42° 80° D C
The total number of practise booklets by 5 rather than 6 (the correct total number of schools).
What is the average number of exercise books given to the schools?In the pie chart for the applicants to discover the missing angle, (360 - sum of supplied angles = 58), a pie chart with identified sectional angles (save one) and exercise books (8,000) equivalent to one sector angle (80o) were provided. To acquire the matching practise booklets for each angle, multiply the conversion factor (8,000/80 = 100) by each angle (school). Additionally, candidates had to locate an average number of schools with fewer exercise books than usual.Very few applicants correctly answered the question after getting the 58 and 100. The majority committed math blunders. The majority of contenders lacked any indication that they had identified and used the conversion element.split the total number of practise booklets by 5 rather than 6 (the correct total number of schools).The majority of applicants were able to list the number of schools with fewer exercise booklets than usual.The complete question is
The pie chart below shows the distribution of exercise books to six schools A, B, C, D, E and F in a town. School D was given 8,000 exercise books. F A B 60° 500 70% E 42° 80° D C
(i) How many exercise books were given to each
of the rest of the schools?
(ii) What is the average number of exercise books given to the schools?
(iii) How many schools had less than the average number of exercise
books?
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Which expreion i equal to 5 2 2 5 tart fraction, 5, divided by, 2, end fraction?
The equivalent expression to the given expression ( 5/2) + 2( 2/5) + 7 is given by 11 ( 9 /10) .
Simplify the expression to get the equivalent expression:
( 5/2) + 2( 2/5) + 7
Convert mixed fraction 2( 2/5) into proper fraction we get:
2 ( 2 / 5 ) = ( 5 × 2 + 2 ) / 5
= 12 / 5
Now, take the least common multiple of denominator we have:
( 5 / 2 ) + ( 12 / 5) + 7 / 1
Least common multiple of 2, 5, 1 is 10
( 5/ 2 ) × ( 5 / 5 ) + ( 12 / 5 )× ( 2/2) + ( 7 / 1) × ( 10 /10)
=( 25 / 10) + ( 24 /10) + ( 70 /10)
= ( 25 + 24 + 70 ) / 10
= 119 / 10
= 11 ( 9 /10)
Therefore, the equivalent expression is equal to 11 ( 9 /10).
The given question is incomplete, I answer the question in general according to my knowledge:
Which expression is equivalent to the given expression :
( 5/2) + 2( 2/5) + 7
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What is -3(x+4)=2x-37
Answer:
-3(x+4) = 2x-37
(open bracket)
(-3 × x)+ (-3 × 4) = 2x-37
-3x - 12 = 2x-37
(collect like terms)
-12+37 = 2x+3x
25 = 5x
x = 25÷5
x= 5
You want the banner you are creating form one piece of cloth to be a golden rectangle. The clothe will be cut from a bolt that is 54 in wide. What are the dimensions
of the largest banner that you can make? Golden Ratio 1.618/1
Answer:A golden rectangle is a rectangle where the ratio of the longer side (the "length") to the shorter side (the "width") is the golden ratio, approximately 1.618.
Let x be the width of the rectangle.
Since the ratio of the length to the width is the golden ratio, we can write the equation:
(x*1.618) = width + x
Solving for x, we get:
x = 54/(1+1.618) = 54/2.618 = 20.5 inches
So the width of the rectangle is 20.5 inches and the length of the rectangle is x1.618 = 20.51.618 = 33.5 inches.
Step-by-step explanation:
jon jumped 1 5/8 inches below qualiyfrying height but anothey made it to 2 1/4 inches over qualfrying height how much lower was jons semifinal jump compared with anthonys
Jon's semi-final jump compared with Anthony's was 3 inches lower. This was based on the heights given.
How to find the value?Given that Jon's jump was 1 inch short of the required height, yet Anthony was his friend
reached the necessary height by 2 inches.
In this instance, subtracting the values will yield the difference in the jump. It will be demonstrated by:
= Anthony's jump - Jon's jump
= 2 - (-1)
= 2 + 1
= 3
Therefore, Jon was 3 inches lower.
Jon's semi-final jump compared with Anthony's was 3 inches lower. This was based on the heights given.
A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.
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assume that the numbers 1,2,...,n are randomly given to players labeled 1,2,...,n. initially, player 1 and player 2 compare their numbers. the one with the largest number wins and compares her number with player 3, and so on. find the probability that player 1 wins m times.
The probability that player 1 wins m times is [tex]$\frac{m}{n}[/tex].
Assume that the numbers 1,2, ....., and n are randomly given to players.
Consider,
[tex]\Omega & =\{1,2, \ldots, n\} \\[/tex]
[tex]& =\left\{\omega_1, \omega_2, \ldots, \omega_n\right\}[/tex]
Here, player 1 and player 2 compare their numbers.
The one with the largest number wins and compares her number with player 3 and So on...
If all outcomes are equally likely,
[tex]\Omega=\left\{\omega_1, \omega_2, \ldots . ., \omega_n\right\}[/tex]
Then [tex]$\Omega$[/tex] is equiprobable sample space.
The probability of each [tex]$\omega_i$[/tex] is [tex]$\frac{1}{n}[/tex] for i = 1, 2, ..........., n
[tex]$P\left\{w_1\right\}=P\left\{\omega_2\right\}=P\left\{\omega_3\right\}............P\left\{\omega_n\right\} = \frac{1}{n}[/tex]
These numbers are randomly given then it has m Sample points.
Probability = P (player 1 wins m times)
For every subset of numbers chosen uniformly at random all possible permutations of these numbers are equally likely.
[tex]$\Rightarrow P(A)=\frac{1}{n}+\frac{1}{n}+\cdots \cdots+\frac{1}{n} \text { ( mimes) }[/tex]
The number of sample points in A is divided by a number of Sample points in [tex]} \Omega}$[/tex].
[tex]$=\frac{\text { number of sample points in } A}{\text { number of Sample points in } \Omega}[/tex]
[tex]$=\frac{\text { number of favorable cases to event } A}{\text { number of possible cases }}$[/tex]
[tex]$=\frac{m}{n} \\[/tex]
Therefore P(A) = [tex]$\frac{m}{n}[/tex]
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1. Which is a finite arithmetic sequence?
A {7, 10, 13, 16, 19}
B {20, 10, 5, 2.5, 1.25}
C {100, 10, 1, 0.1,…}
D {2, 4, 6, 8, …}
2. Which sequence has a common ratio of -2?
{-1, 2, -4, 8, -16, …}
{29, 27, 25, 23, 21, …}
{4, -6, 8, -10, 12, …}
{900, -450, 225, -112.5, 56.25, …}
Answer:
see below
Step-by-step explanation:
1. A&B because they have finite #s in the brackets
2. {-1, 2, -4, 8, -16, …} you use first # & multiply by -2 & see if you get the next #.
In how many ways can 10 people be seated around a circular table?
A. 3,628,800
B. 362,880
C. 1,814,400
D. 181,440
Find all values of x that make the equation true. 3/x-4 = x-5/x
Answer:
2x-3
Step-by-step explanation:
3/x-4=x-5/x=
first what you need to do is
3/x-4 so its both a fraction 3/x and 5x and subtraction on both sides makes it easer for us so
3/x-5/x=2/x
4-x=3
if wondering why 4x-x = 3 because x basicly means 1 so then you answer will be
2/x-3
am not really sure if you wanted simplifyed but it might be this
I don't understand please helppppp (sob)
Answer:
This is actually quite simple
Step-by-step explanation:
Divide them both by 20
then add
Your final answer either should be D or A
Three fathers-Pete,john, and Nick, have between them a total of 15 children of which 9 are boys. Nick has 4 more boys than girls and theSame number of girls as pete has boys. How many boys each do Nick and pete have?
Total number of boys = 9
Total number of girls = 6
Let the no. of girls nick has be x
no. of boys nick has = x + 4
no. of boys pete has = x (given)
no. of girls pete has = y
No. of boys john has = z
no. of girls john has = c
we know that, x + x + 4 + z = 9,
2x + z = 5
Let's now take a look at the possible values of x and z.
If x = 0, z = 5
If x = 1, z = 3
If x = 2, z = 1
(These are the possible number of boys nick and pete have.)
If pete has 0 boys, nick has 4 boys.
If pete has 1 boys, nick has 5 boys.
If pete has 2 boys, nick has 6 boys.
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Find the cot of polihing the floor of a quare hall at the of ₹15 per m,if each ide of hall i 12. 5 m
The cost of polishing the floor of the square hall is ₹2343.75
The Side of Square Hall = 12.5 m
The cost of polishing the floor per meter sq. = ₹ 15
We have to find the cost of polishing the floor.
First we will calculate the area of floor of the square hall.
Area of a square is defined as the number of square units needed to fill a square. In general, the area is defined as the region occupied inside the boundary of a flat object or 2d figure. The measurement is done in square units, with the standard unit being square meters ([tex]m^{2}[/tex]).
Area of Square =[tex](Side)^{2}[/tex]Area of square=[tex](12.5)^2[/tex]
Area of square =[tex]12.5 \times 12.5[/tex]
Area of square =156.25
The area of the floor of Square Hall is 156.25 [tex]\mathrm{~m}^2$[/tex]
Per square meter cost of polishing the floor is ₹15,
To find the cost of polishing the floor of the square hall of area 156.25 sq. m, simply multiply 15 by the area of the floor of the square hall.
Therefore, the cost of polishing,
=15×156025
=2343.75
Therefore, the cost of polishing is ₹2343.75.
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Find the cost of polishing the floor of a square hall at the rate of 15 per meter sq, if each side of the hall is 12.5 m.
At the book store, you purchased some $5 clearance mystery books and $12 regular-priced science fiction books. How many of each did you buy if you spent a total of $126?
6 mystery and 8 sci-fi?
7 mystery and 7 sci-fi?
5 mystery and 9 sci-fi?
8 mystery and 6 sci-fi?
The number of each type of books purchased is, 6 mystery and 8 sci-fi
What is an Equation ?An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.
For example, 3x+2y=0.
Types of equation
1. Linear Equation
2. Quadratic Equation
3. Cubic Equation
Given that,
$5 clearance mystery books
And $12 regular-priced science fiction book
Total spent amount = $126
The number of each type of books purchased = ?
Suppose, the number of clearance mystery books = x
the number of regular-priced science fiction book = y
So it can be written as,
5x + 12y = 126
Here, in question Second condition is missing
So we can took values of x & y from the options,
Let, x = 6 and y = 8
5x6 + 12x8 = 126
It is satisfied the condition
Let, x = 7 and y = 7
5x7 + 12x7 ≠ 126
Similarly, rest options not satisfy the condition
Hence, the number of books 6 mystery and 8 sci-fi
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In a right angle triangle, the length of the opposite side of an angle is 3cm and the length of the hypotenuse is 5cm. The value of the angle is
Answer: 36.87 degrees.
Step-by-step explanation:
In a right-angle triangle, the length of the opposite side of an angle and the length of the hypotenuse can be used to find the value of the angle using the trigonometric ratios.
If we let the angle in question be denoted as "theta" and the length of the opposite side be "opp" and the length of the hypotenuse be "hyp", we can use the trigonometric ratio "sine" to find the value of the angle.
sin(theta) = opp/hyp
We are given that opp = 3 cm and hyp = 5 cm, so we can substitute these values into the equation:
sin(theta) = 3/5
We can now use an inverse trigonometric function, such as arcsin, to find the value of theta:
theta = arcsin(3/5)
The result of this calculation is theta = approximately 36.87 degrees. Therefore, the value of the angle is 36.87 degrees.
Answer:
30 mm
Step-by-step explanation:
3 x 10 mm ? hopefully its the right answer for you
a mathematics professor created a test that was supposed to be mostly easy except for two challenging problems. the scores of the students are shown in the dot plot below. what was the highest grade? a dot plot has a horizontal axis labeled test score percentage from 70 to 100 in increments of 5. columns of dots are plotted over horizontal coordinates with heights as follows, where the horizontal coordinate is listed first and the number of dots in the column is listed second: 70, 1; 71, 1; 74, 1; 75, 2; 76, 2; 77, 3; 78, 2; 79, 4; 80, 5; 81, 5; 82, 6; 83, 7; 84, 7; 85, 9; 86, 11; 87, 13; 88, 14; 89, 15; 90, 14; 91, 13; 92, 2; 93, 2. do not include a percent symbol with your answer.
A mathematics professor created a test that was supposed to be mostly easy except for two challenging problems, the highest grade was 93.
Data is encoded in a dot or tiny circle using a dot plot. The distribution of numerical variables is depicted on a number line in the dot plot, where each dot represents a value.
Any data that may be shown as dots or tiny circles is called a dot plot. Given that the height of the bar created by the dots represents the numerical value of each variable, it is comparable to a bar graph or a simplified histogram. Small amounts of data are shown using dot plots.
Mathematical procedures are comparable to those of a soda vending machine. You can choose from a variety of sodas after you deposit a particular sum of money. Similar to how we enter different numbers into functions, we also receive new numbers as the outcome. The two essential characteristics of functions are domain and range.
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Please please help
An open cylindrical water tank has base radius x metres and height h metres. Each square metre of the
base costs a dollars to manufacture and each square metre of the curved surface costs b dollars. The
combined cost of the base and curved surface is c dollars.
a Find c in terms of a, b, x and h.
b Show that the volume of the tank is given by V = 2(c − nax²).
-
c As x varies, prove that V is at its maximum when the cost of the base is dollars.
The combined cost of c dollars is a xπx² + 2πxhb. The volume of the tank will be V = πx²h. Maximum value of V is when c > 2a(2hb).
How to find cost of the base?a. The cost of the base is given by a xπx², and the cost of the curved surface is given by 2πxhb. The combined cost of the base and curved surface is given by:
c = a xπx² + 2πxhb
b. To find the volume of the tank, we can use the formula for the volume of a cylinder:
V = πx²h
Substituting in the expression for c from part (a), we have:
V = πx²h = πx²(c - 2πxhb) / a
c. To find the maximum value of V, we can differentiate with respect to x and set the derivative equal to 0:
dV/dx = 2πx(c/a - 2hb) = 0
Solving for x, we get:
x = (c / 2a) / (2hb)
Since x is the radius of the tank, it must be positive, so we must have c > 2a(2hb) for the maximum value of V to exist.
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If an older television with an aspect ratio of 4:3 has a screen of 2500 square inches, but the image displayed has an aspect ratio of 16:9, how much area does the image actually occupy?
The image occupy 1250 inches².
What is Ratio?A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
The aspect ratio of screen 4:3 and the screen is 2500 square inches.
so, the width of the screen is = 2500/ 4.3 = 581.40 inches
As, the image displayed has an aspect ratio of 16:9.
The Area of image is
= 581.40 x 9/16
= 1250 inches².
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H(x)=-3(x-3)^2+108 how many seconds after takeoff will the hovercaff be its highest point
Answer:
at 3 seconds
Step-by-step explanation:
the vertex will provide the maximum or minimum of the curve and can be found by finding the values of 'h' and 'k'
in this problem, 'h' is 3 and 'k' is 108
so at 3 seconds, the maximum height is reached, which is 108 feet
Answer:
-3x^2 + 189
Step-by-step explanation:
If you know what PEMDAS is, then you do the parenthesis first, and you get -3x^2 + 9^2 + 189. Then you take 9^2 and solve that part, and you get 81. Then, since there are two numbers with no exponents or variables, you add 81+108, getting 189. This leaves you with your answer, which is -3x^2+189.
Hope this helps!
