Do you have to change the division to multiplication on a decimal?
Decimals are multiplied as if they were whole numbers, and then the decimal point is placed in the product.
In the ordered pair (6, -7), which number represents the y-coordinate?
6 or -7?
Therefore , the solution of the given problem of ordered pair comes out to be -7 is the solution.
What are ordered pairs exactly?Two distinct variables that organize themselves in a way that implies a particular sequence are referred to as "ordered pairs". The main or second components, respectively, indicate the coordinates for the x and y positions in an order pair. The sample following employs close parentheses to show the ordered combination.
Here,
In the ordered pair
=> (6, -7), the number -7 indicates the y-coordinate.
The x-coordinate is represented by number one in the sorted pair,
6, and the y-coordinate is represented by number two, -7.
So, -7 is the solution.
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The answer of the given question based on the number that represents the y-coordinate 6 or -7 is the number -7 represents the y-coordinate.
What is Graph?In mathematics, a graph is a collection of points, called vertices or nodes, and lines connecting some or all of these points, called edges or arcs. Graphs are used to model and study relationships between objects or events.
Graphs can be used to represent a variety of things, like social networks, road networks, electrical circuits, chemical compounds, and more. They are also used in computer science and data analysis, where they can be used to represent data structures, algorithms, and data relationships.
There are different types of graphs, including directed and undirected graphs, weighted graph and unweighted graphs, and connected and disconnected graphs. The study of graphs is called graph theory, and it has applications in a variety of fields, including computer science, physics, engineering, and social sciences.
In the ordered pair (6, -7), the number -7 represents the y-coordinate.
In an ordered pair (x, y), the x-coordinate represents the horizontal position on the graph, while the y-coordinate represents the vertical position on the graph.
So, in the given ordered pair (6, -7), the number 6 represents the x-coordinate, and the number -7 represents the y-coordinate.
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What is the volume of the shape below
The volume of the given figure is 1176 cubic cm.
The value of the figure is calculated by multiplying all three side areas. Volume is a measure of the amount of space that an object or a substance occupies. It is typically expressed in cubic units such as cubic meters (m³), cubic centimetres (cm³), or cubic feet (ft³).
The volume of the figure is calculated as,
Volume = 2 ( 15 x 6 + 20 x 6 + 20 x 18 )
Volume = 1176 Cubic cm
Hence, the volume of the figure will be equal to 1176 Cubic cm.
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An irrigation system (sprinkler) has a parabolic pattern. The height, in feet, of the spray of water is given by the equation h(x) = -x^2+10x+7.5 where x is the number of feet away from the sprinkler head (along the ground) the spray is.
The irrigation system is positioned____ feet above the ground to start.
The spray reaches a maximum height of ____feet at a horizontal distance of feet away from the sprinkler head.
The spray reaches all the way to the ground at about_____ feet away
9514 1404 393
Answer:
7.5 ft32.5 ft, 5 ft10.7 ftStep-by-step explanation:
a) The starting height is h(0) = 7.5 feet, the constant in the quadratic function.
The irrigation system is positioned 7.5 feet above the ground
__
b) The axis of symmetry for quadratic ax^2 +bx +c is x = -b/(2a). For this quadratic, that is x=-10/(2(-1)) = 5. This is the horizontal distance to the point of maximum height. The maximum height is ...
h(5) = (-5 +10)(5) +7.5 = 32.5 . . . feet
The spray reaches a maximum height of 32.5 feet at a horizontal distance of 5 feet from the sprinkler head.
__
c) The maximum distance will be √32.5 + 5 ≈ 10.7 ft.
The spray reaches the ground at about 10.7 feet away.
Answer:
7.5
32.5
5
maximum
10.7
Step-by-step explanation:
-(9-6)+(-1-2)-(3+4)+(5-6)=
Answer:
Step-by-step explanation:
-9+6-1-2-3-4+5-6
-3-3-7-1
-6-8
-14
Answer:
The answer is -14.
Step-by-step explanation:
-(9 - 6) + (-1 -2) - (3 + 4) + (5 - 6)
Subtract 6 from 9 to get 3.
-3 -1 -2 - (3 + 4) + 5 - 6
Subtract 1 from -3 to get -4.
-4 - 2 - (3 + 4) + 5 - 6
Subtract 2 from -4 to get -6.
-6 - (3 + 4) + 5 - 6
Add 3 and 4 to get 7.
-6 - 7 + 5 - 6
Subtract 7 from -6 to get -13.
-13 + 5 - 6
Add -13 and 5 to get -8.
-8 - 6
Subtract 6 from -8 to get -14.
-14.
Consider the radical equation √(x+3)=4. Solve this equation by squaring both sides and then solving for x. Now, replace 4 by -4 and solve for x again. Is the value you found for x still a solution? Explain your reasoning.
Given the radical eqaution
\(\sqrt[]{(x+3)}=4\)To find the value of x
Square both sides of the equation
\(\mleft\lbrace\sqrt[]{(x+3)}\mright\rbrace^2=(4)^2\)Solve the brackets
\(\begin{gathered} x+3=16 \\ \text{Collect like terms} \\ x=16-3=13 \\ x=13 \end{gathered}\)Replacing 4 by -4 in the given radical equation
\(\sqrt[]{(x+3)}=-4\)To find the value of x
Square both sides of the equation
\(\lbrace\sqrt[]{(x+3)}\rbrace^2=(-4)^2\)Solve the brackets
\(\begin{gathered} x+3=16 \\ x=16-3 \\ x=13 \end{gathered}\)To check:
Substitute 13 for x into both radical equations
For the first equation
\(\sqrt[]{(x+3)}=4\)Substituting the value of x into the above equation
\(\begin{gathered} x=13 \\ \sqrt[]{(x+3)}=4 \\ \sqrt[]{(13+3)}=4 \\ \sqrt[]{16}=4 \\ 4=4 \end{gathered}\)For the second equation
\(\sqrt[]{(x+3)}=-4\)Substituting the value of x into the above equation
\(\begin{gathered} \sqrt[]{(x+3)}=-4 \\ \sqrt[]{(13+3)}=-4 \\ \sqrt[]{16}=-4 \\ 4\ne-4 \end{gathered}\)Hence,
\(\begin{gathered} x=13\text{ is a solution to }\sqrt[]{(x+3)}=4\text{ (i.e 4 }=4) \\ x=13\text{ is not a solution to }\sqrt[]{(x+3)}=-4\text{ (i.e 4 }\ne-4) \end{gathered}\)ead the situations below and determine which relationship is not functional.
Situation 1: a cell phone bill to the amount of minutes used
Situation 2: the perimeter of a square to the length of one of the sides of a square
Situation 3: the total amount of money charged monthly on credit cards to the number of credit cards owned
Situation
does not represent a function.
This is because
.
There can be multiple outputs (monthly charges) for a given input (number of credit cards), violating the definition of a function. hence, Situation 3 does not represent a function.
Situation 3: the total amount of money charged monthly on credit cards to the number of credit cards owned does not represent a function.
In a function, each input (or x-value) should have a unique output (or y-value). However, in this situation, the total amount of money charged monthly on credit cards depends on the number of credit cards owned. It is possible to have different credit card numbers but still have the same total amount of money charged monthly.
For example, two people could own different numbers of credit cards but have the same monthly charges.
As a result, the definition of a function can be violated by having many outputs (monthly charges) for a single input (number of credit cards).
Because of this, case 3 does not represent a function.
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Solve for x and graph the solution on the number line below.
The solution of the inequality is 8 ≥ x or x > 10. The graph of the solution is attached
How to solve for x and graph the solution on the number line?An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value e.g. 5 < 6, x ≥ 2, etc.
Solving for x:
11≥ 2x - 5 or 2x - 5 > 15
Collect like terms:
11 + 5 ≥ 2x or 2x > 15 + 5
16 ≥ 2x or 2x > 20
8 ≥ x or x > 10
Note: 8 ≥ x can also be written as x ≤ 8
We can combine the two as follow:
Inequality notation: 8 ≥ x > 10
The graph of the solution is attached
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What is the answer? Provide steps please.
The given expression is proved.
What is trigonometry?
Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
here, we have.
tan∅/(1+ sec∅)
=(sin∅/cos∅)/(1+ sec∅) [tan∅=(sin∅/cos∅)]
=(sin∅/cos∅)/(1+1/cos∅)
=sin∅/1+cos∅
multiplying both numerator & denominator by 1-cos∅, we get,
=sin∅(1-cos∅)/ sin^2∅
=(1-cos∅)/sin∅
=cosec∅ - cot∅
Hence, The given expression is proved.
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A Read the statement and write the ratio in colon form.
For a fruit cocktail, I need 35 fruits. I will cut the following fruits
into small pieces: 10 apples, 5 papayas, 5 pineapples and the rest are
cherries.
1. The ratio of apples to papayas is
Answer:
.
Step-by-step explanation:
Plot the vertex and the axis of symmetry of this function: f(x) = (x – 3)2 + 5.
Answer:
Vertex: (3, 5)
Axis of symmetry: x=3
a
Find the sample size needed to estimate the percentage of adults who can wiggle their ears. Use a margin of error of 5 percentage points and use a confidence level of 90%
Complete parts (a) and (b) below.
b. Assume that 23% of adults can wiggle their ears.
n
(Round up to the nearest integer.)
.
The sample size for the part (a) is 269, and the sample size for part (b) is 191 if a margin of error of 5 percentage points and use a confidence level of 90%
What is the margin of error(MOE)?It is defined as an error that gives an idea about the percentage of errors that exist in the real statistical data.
The formula for finding the MOE:
\(\rm MOE = Z{score}\times\frac{s}{\sqrt{n} }\)
Where is the z score at the confidence interval
s is the standard deviation
n is the number of samples.
We have:
MOE = 5% = 0.05 and
\(\alpha = 1-0.9 \Rightarrow 0.1\)
Let's assume the value of p = 0.5, and q = 0.5
From the table:
\(\rm Z_{\alpha/2}\Rightarrow Z_{0.1/2}\Rightarrow Z_{0.05}\Rightarrow 1.64\)
\(\rm n = p\times q \frac{Z^2_{\alpha/2}}{MOE^2}\)
\(\rm n = 0.5\times 0.5\frac{1.64^2}{0.05^2}\)
n = 268.96 ≈ 269
For part(b)
The value of p = 0.23, and q = 0.77
From the table:
\(\rm Z_{\alpha/2}\Rightarrow Z_{0.1/2}\Rightarrow Z_{0.05}\Rightarrow 1.64\)
\(\rm n = p\times q \frac{Z^2_{\alpha/2}}{MOE^2}\)
\(\rm n = 0.23\times 0.77\frac{1.64^2}{0.05^2}\)
n = 190.53 ≈ 191
Thus, the sample size for the part (a) is 269, and the sample size for part (b) is 191 if a margin of error of 5 percentage points and use a confidence level of 90%
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I need help with this ASAP!!!
Answer:
y=-4x-6
Step-by-step explanation:
It jwust is mwannn
Write down the correct type of angle for angles A to E. A Obtuse angle Reflex angle B Right angled tr Obtuse angle B Acute angle Submit Answer
find the length and breadth of the rectangle given below if its perimeter is 72 to metres
hi! Can someone please help me out? Thank you so much :) I’ll give brainly. Question is in image
Answer:
d) 189.3 in²
Step-by-step explanation:
Area of rectangle is,
→ w × l
→ 10 × 15
→ 150 in²
Area of semi circle is,
→ (1/2)πr²
→ (1/2) × 3.14 × (5)²
→ 1.57 × 25
→ 39.3 in²
Now the total area will be,
→ 150 + 39
→ 189.3 in²
Thus, total area is 189.3 in².
Evaluate 4c - 3
When c = -2
Answer:
-11
Step-by-step explanation:
Answer: -5
Step-by-step explanation:
4*-2=-8
-8 -3=-5
18-2g=4g
Simplify !!!
Write a function rule for
Answer:
x^2
Step-by-step explanation:
1^2=1
2^2=4
3^2=9
solve 2x/\2 - 5x -3 is greater than or equal to zero algebraically
The solution to the given inequality 2x/2 - 5x -3 ≥ 0 is x ≤ - 3/8.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
We have to solve 2x/2 - 5x -3 is greater than or equal to zero algebraically.
As per the question, we have inequality as follows:
2x/2 - 5x -3 ≥ 0
2x/2 - 5x ≥ 3
Multiply by 2 on both sides of the inequality,
4x - 20x ≥ 6
-16x ≥ 6
Divided by -16 and flip the sign of the above inequality,
x ≤ - 6/16
x ≤ - 3/8
This is the solution to the given inequality.
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0.9t
t² + 64
Find the time
The concentration of a drug t hours after being injected is given by C(t) =
when the concentration is at a maximum. Give your answer accurate to at least 2 decimal places.
hours.
Calculator
Submit Question
Becky tells her friend about the Rule of 72 and her friend immediately
tries it out with her own example. Becky doesn't see all of her friend's
math but does see f(4) = 18 written on her friend's paper.
a. What do you know about the friend's investment based on this?
b. Is the friend's math correct based on the rule of 72?
Answer:
a. the investment earns 4%
b. yes
Step-by-step explanation:
The "rule of 72" says that an investment earning compound interest at x% will double in value after 72/x years. That is, ...
f(x) = 72/x
__
a.We interpret f(4) to mean Becky's friend is interested in the doubling time for an investment that earns 4% interest.
__
b.Using the above formula, ...
f(4) = 72/4 = 18
The friend's math is correct.
Two identical trains, each with 31 cars, are traveling in opposite directions. When car Number 19 of one train is opposite car Number 19 of the other, which car is opposite car Number 12?
Car 12 of Train B is also 12 cars away from Car 19 on Train B.
How to explain the informationSince each train boasts 31 cars, we can ascertain the total amount of vehicles between Car 19 and Car 12 on Train A:
31 - 19 = 12
Thus, Car 12 on Train A is a dozen units distant from Car 19 on Train A.
Nevertheless, Train B is furthermore moving in an inverring direction and has its exclusive set of automobiles between Car 19 and Car 12. We comprehend that the matching figure of cars must be amongst Car 19 and Car 12 on Train B as with Train A.
In essence, Car 12 of Train B is also 12 cars away from Car 19 on Train B.
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3 A farmer's horses drink from a rectangular water tank with dimensions shown.
2 4/5 ft
2 2/5 * ft
2 1/2 * 1
5 3/5 * ft
4 4/5 ft
When the farmer refills the tank, it takes the horses 4 days to drink all the water. The farmer wants to build a new, larger tank and plans to increase each measurement of the tank by 25%.
Section 3
By what percentage will the amount of water the farmer can put in the tank increase when the larger tank is built?
Explain how you found your answers.
Enter your answers and your explanation in the space provided.
How many days will it take the horses to drink all the water in the larger tank?
The amount of water the farmer can put in the tank increase when the larger tank is built is 106.33%.It takes 4days for the horses to drink all the water in the larger tank.
What is percentage?Percentage is a way of expressing a proportion or a fraction out of 100. It represents the number of parts per hundred of a quantity.
What does dimension refers to?Dimension refers to a measurable aspect of an object or a system, such as length, width, height, depth, volume, area, or mass. In mathematics, dimension also refers to the number of coordinates required to specify a point in a space. For example, a two-dimensional shape like a square has two dimensions, length and width, while a three-dimensional object like a cube has three dimensions, length, width, and height.
To find the percentage increase in the amount of water the farmer can put in the larger tank, we need to calculate the volume of the original tank and the volume of the larger tank, and then compare the two.
The original tank has dimensions of 2 4/5 ft, 2 2/5 ft, and 2 1/2 ft. We can convert these mixed numbers to improper fractions for easier calculations:
2 4/5 ft = (2 x 5 + 4)/5 ft = 14/5 ft
2 2/5 ft = (2 x 5 + 2)/5 ft = 12/5 ft
2 1/2 ft = (2 x 2 + 1)/2 ft = 5/2 ft
The volume of the original tank is then:
Volume = Length x Width x Height = 14/5 ft x 12/5 ft x 5/2 ft
Now, the farmer plans to increase measurement by 25%. To do this, we multiply each measurement by 1.25.
The dimensions of the larger tank would be:
Length = 14/5 ft x 1.25 = 3.5 ft
Width = 12/5 ft x 1.25 = 3 ft
Height = 5/2 ft x 1.25 = 3.125 ft
The volume of the larger tank is then:
Volume = Length x Width x Height = 3.5 ft x 3 ft x 3.125 ft
To find the percentage increase, we can compare the two volumes:
Percentage increase = ((Volume of larger tank - Volume of original tank) / Volume of original tank) x 100
Plugging in the values we found:
Percentage increase = ((3.5 ft x 3 ft x 3.125 ft - 14/5 ft x 12/5 ft x 5/2 ft) / (14/5 ft x 12/5 ft x 5/2 ft)) x 100
After calculating the above expression, we find that the percentage increase is approximately 106.33%. So, the amount of water the farmer can put in the larger tank will increase by approximately 106.33% when the larger tank is built.
Now, to find how many days it will take the horses to drink all the water in the larger tank, we can assume that the rate at which the horses drink water remains constant. Since the volume of the larger tank is approximately 106.33% more than the original tank, it will take the horses approximately the same amount of time to drink all the water in the larger tank, which is 4 days.
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each of the figure below is made of the unit square which of the following figure has the maximum perimeter
6 question pls
Answer:
c is the answer
The accompanying data are from the article "Characteristics of Buyers of Hybrid Honda Civic IMA: Preferences, Decision Process, Vehicle Ownership, and Willingness-to-Pay" (Institute for Environmental Decisions, November 2006). Each of 306 people who purchased a Honda Civic was classified according to gender and whether the car purchased had a hybrid engine or not.Suppose one of these 306 individuals is to be selected at random.a. Find the following probabilities:i. P(male)ii. P(hybrid)iii. P(hybrid|male)iv. P(hybrid|female)v. P(female|hybrid)b. For each of the probabilities calculated in Part (a), write a sentence interpreting the probability. c. Are the probabilities P(hybrid|male) and P(male|hybrid) equal? If not, write a sentence or two explaining the difference between these two probabilities.
The probabilities are
i. P(male) ≈ 0.503
ii. P(hybrid) ≈ 0.324
iii. P(hybrid|male) ≈ 0.208
iv. P(hybrid|female) ≈ 0.441
v. P(female|hybrid) ≈ 0.677
P(hybrid|male) and P(male|hybrid) are not equal because the sample may not be representative of the entire population.
What is probability?
Probability is a measure of the likelihood of an event occurring, expressed as a number between 0 and 1, with 0 indicating an impossible event and 1 indicating a certain event.
a.
i. P(male) = number of males in the sample / total number in the sample = 154 / 306 ≈ 0.503
ii. P(hybrid) = number of hybrid cars purchased / total number in the sample = 99 / 306 ≈ 0.324
iii. P(hybrid|male) = number of males who purchased a hybrid / total number of males in the sample = 32 / 154 ≈ 0.208
iv. P(hybrid|female) = number of females who purchased a hybrid / total number of females in the sample = 67 / 152 ≈ 0.441
v. P(female|hybrid) = number of females who purchased a hybrid / total number of people who purchased a hybrid = 67 / 99 ≈ 0.677
b.
i. P(male) represents the probability of randomly selecting a male from the sample of 306 people who purchased a Honda Civic.
ii. P(hybrid) represents the probability of randomly selecting a car from the sample that has a hybrid engine.
iii. P(hybrid|male) represents the probability of selecting a hybrid car given that the person selected is male.
iv. P(hybrid|female) represents the probability of selecting a hybrid car given that the person selected is female.
v. P(female|hybrid) represents the probability of selecting a female given that the car selected has a hybrid engine.
c. No, P(hybrid|male) and P(male|hybrid) are not equal. P(hybrid|male) represents the probability of selecting a hybrid car given that the person selected is male, while P(male|hybrid) represents the probability of selecting a male given that the car selected has a hybrid engine. These probabilities are different because the sample is not necessarily representative of the entire population.
Hence, the probabilities are
i. P(male) ≈ 0.503
ii. P(hybrid) ≈ 0.324
iii. P(hybrid|male) ≈ 0.208
iv. P(hybrid|female) ≈ 0.441
v. P(female|hybrid) ≈ 0.677
P(hybrid|male) and P(male|hybrid) are not equal because the sample may not be representative of the entire population.
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Please help me !! I need help asap
In given fractions 8/9 is 1/36 large than 31/36
Comparing Fractions:Finding the larger and smallest fraction in between two or more fractions is known as comparing fractions.
We need to change fractions with unlike denominators into fractions with similar denominators in order to compare them. For this, we will find the denominators' Least Common Multiple (LCM).
If the denominators are the same then it is easy to compare the fractions.
Here we have
31/36 and 8/9
To find the largest fraction convert both denominators into the same
Here LCM(36, 9) = 36
Now multiply both numerator and denominators of fractions with a number to change the denominators
=> \(\frac{31}{36} \times \frac{1}{1} = \frac{31}{36}\)
=> \(\frac{8}{9} \times \frac{4}{4} = \frac{32}{36}\)
From the above calculations given fractions are 31/36 and 32/36
Difference = \(\frac{32}{36} - \frac{31}{36} = \frac{1}{36}\)
Therefore,
In given fractions 8/9 is 1/36 large than 31/36
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Evaluate the value of: √100/49x400
Answer:
This is your answer ☺️☺️☺️
-2 = 3у – 18 — 5y
Solve for y
Jessica needs to know how much water her new fish tank can hold:
A rectangular prism with a length of 8 inches, a width of 4 inches, and a height of 9 inches.
Determine the total volume of the fish tank.
The fish tank has a total volume of 288 inch³. As a result, Jessica's new fish tank has a capacity of 288 inch³ for water.
The volume of a rectangular prism can be calculated using the formula:
V = l x b x h..........(i)
where,
V ⇒ Volume
l ⇒ length
b ⇒ width
h ⇒ height
From the question, we are given the values,
l = 8 inches
b = 4 inches
h = 9 inches
Putting these values in equation (i), we get,
V = 8 x 4 x 9
⇒ V = 288 in³
Therefore, the fish tank has a total volume of 288 inch³. As a result, Jessica's new fish tank has a capacity of 288 inch³ for water.
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