Find the distance between ( -3,4) and (2,-4)
Answer: exact form: √89 decimal form: 9.43398113…
Step-by-step explanation:
the distance between (-3,4) and (2,-4) is
exact form: √89 decimal form: 9.43398113…
The record high January temperature in Austin, Texas, is 90°F. The record low
January temperature is -2°F. Find the difference between the high and low
temperatures.
Answer:
92 degrees
Step-by-step explanation:
-2 is 2 degrees from 0. the high is 90. Add them together for 92 :)
Answer:
92 degrees
Step-by-step explanation:
90 - (-2) = 92
SA school has 900 concert tickets for sale. Some of them are for reserved seats (x) and the
rest are for general admission (y). No more than 600 reserved seat tickets can be sold. They
know they will sell at least 200 general admission tickets. Write a system of inequalities that
shows how many of each type of ticket can be sold and then graph the feasible region.
Answer:
x ≤ 600y ≥ 200x +y ≤ 900see the attachment for a graphStep-by-step explanation:
Given 900 tickets for sale and restrictions on the numbers of reserved and general admission seats, you want a system of inequalities that models the possible sales. You also want a graph of the feasible region.
The variables are defined as ...
x = number of reserved seat ticketsy = number of general admission ticketsInequalitiesThe limits give rise to these inequalities:
x ≤ 600 . . . . . no more than 600 reserved seats can be sold
y ≥ 200 . . . . . at least 200 general admission tickets will be sold
x + y ≤ 900 . . . . at most, 900 tickets can be sold
GraphThese inequalities can be graphed simply by giving them as input to a graphing calculator. The result is attached. The feasible region is that area of the graph where the three solution spaces overlap. Here, it is outlined in black.
Olivia is trying to get her friends to go swimming. She says it is 959595 degrees to convince them, but she rounded the temperature to the nearest one.
Which could be the temperature before Olivia rounded it? PLEASE ANSWER QUICKLY!!!
Answer:
t > 94.5
Step-by-step explanation:
Beth walk two blocks in 15 minutes how many blocks or bad word if she walked at the same rate for an hour
The answer for this given question is 8 blocks
Algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions. It involves variables like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to form a meaningful mathematical expression.
basic rules of algebra
• Commutative Rule of Addition.
• Commutative Rule of Multiplication.
• Associative Rule of Addition.
• Associative Rule of Multiplication.
• Distributive Rule of Multiplication.
15*4= 60, meaning a full hour.
15 minutes = 2 blocks
15 minutes = 2 blocks
15 minutes = 2 blocks
15 minutes = 2 blocks
add them all up and we get that in 60 minutes (an hour) Beth walked 8 blocks.
Hence, Beth walked 8 blocks in 60 minutes of time.
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(1/4+3/4)x____=82. I need help llz
let U = {1,2,3,4,5,6,7,8,9}, A = {1,2,3,4,5,6}, B = {2,4,5,6}, And C = {1,6,7}. find
Given;
U = {1,2,3,4,5,6,7,8,9},
A = {1,2,3,4,5,6},
B = {2,4,5,6},
C = {1,6,7}.
To find;
A∩B, A∪C, (AUB)∩(A∪C), A'∩B', (A∩C)', A∪C, A∩(B∪C), A', A'∪B', A-B, A∪B, A∪(B∪C), B', (AUB)', B-C
A∩B = {2,4,5,6,}
A∪C = {1,2,3,4,5,6,7}
(AUB)∩(A∪C) = {1,2,3,4,5,6}
A'∩B' ={7,8,9}
(A∩C)' = {2,3,4,5,7,8,9}
A∪C = {1,2,3,4,5,6,7}
A∩(B∪C) = {1,2,4,5,6}
A' = {7,8,9}
A'∪B' = {1,3,7,8,9}
A-B = {2,4,5,6}
A∪B = {1,2,3,4,5,6}
A∪(B∪C) = {1,2,3,4,5,6,7}
B' = {1,3,7,8,9}
(AUB)' = {7,8,9}
B-C = {6}
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Compare 4/5, 8/10, and 12/15 using ratios
On simplifying the equation this show that the ratio are equal:
4/5 = 4/5 = 4/5 .
What is the relationship between two ratios?To obtain the comparative ratio, find the LCM of both the consequents of both ratios, divide the LCM with both the consequents and then multiply the numerator and denominator of both ratios with the answer.
What does the ratio formula mean?The ratio is a relationship between the amounts of two or more things that indicates how much of one is contained in the other. The ratio formula can be used to convert a ratio into a fraction. a:b = a/b is the ratio formula for just about any two quantities, say a and b.
According to the given data:4/5, 8/10, and 12/15
dividing the ration to simplify it:
4/5, 8/10, and 12/15
8/10 = 4/5 on dividing by 2
12/15 = 4/5 on dividing by 3
So,
On simplifying the equation this show that the ratio are equal:
4/5, 8/10, and 12/15
4/5 = 4/5 = 4/5 .
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Which graph represents a function that has the domain (–∞, –4) ⋃ (–4, 3) ⋃ (3, ∞), has a y-intercept at (0, 3), and is increasing on the interval (0, 4)?
The y-intercept of a graph is the point, where the graph crosses the y-axis. and The graph with the given details is graph (c).
According to the statement
We have to find that the correct graph which represent the domain.
So, For this purpose, we know that the
The domain of a function is the set of all possible inputs for the function.
From the given information:
The function that has the domain (–∞, –4) ⋃ (–4, 3) ⋃ (3, ∞), has a y-intercept at (0, 3), and is increasing on the interval (0, 4).
Then
we have given a four graphs as a option which are in the image below after seeing that we know that the:
From the list of given options. graph (d) includes a y intercept of two, because it crossed the y-axis at y = 2.
So, graph (d) can not be the desired graph
And then
Graph (a) features a domain of: (–∞, –5)
So, graph (a) can't be the desired graph
And then
The domain of graph (b) is [-3,3]
So, graph (b) can't be the desired graph.
Hence, the required graph is graph (c).
So, The y-intercept of a graph is the point, where the graph crosses the y-axis. and The graph with the given details is graph (c).
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7^x^2=7^3X+10 SOLVE FOR X
Answer:
x= -0.9
Step-by-step explanation:
Assuming you did a typo by saying 7 to the power of x that's also to the power of 2.
This is the answer for 7x^2 = 7x^3+10
Which point represents the ordered pair ( 1/4, -1/2)?
x = 0.25 , y= -0.5 , (x, y) represents the point (0.25,-0.5) in fourth quadrant of the cartesian plane as shown in the graph below attached.
What are cartesian coordinates in two dimensions ?
A Cartesian coordinate system in two dimensional is defined by x and y axes. Any point in the coordinate system is defined by a perpendicular distance from the x and y axes, (x, y). x and y axes intersect at the point where the value of x and y both is zero; this is called the origin (0,0)
Given ordered pair is ( 1/4, -1/2)
put (x,y) = ( 1/4, -1/2)
x= 1/4 =0.25 and y =(-1/2) = -0.5
This point lie in 4th quadrant
The point in the attached file represents the given point.
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A circular arc has a measure of 2in and is intercepted by a central angle of 34. Find the radius of the circle
Answer:
68
Step-by-step explanation:
Answer:
For this particular problem (with units in mind), the formula for arc length is
Arc length
=
2
π
r
⋅
(
x
360
∘
)
,
Where
x
is the central angle measure and
r
is the radius of the circle.
You don't really have to work too hard to remember this formula. The arc length formula is easy to remember because it is just the circumference of the circle times the central angle over
360
∘
.
Anyway, let's continue with the problem. We are given that the central angle is
60
∘
, and that
r
, our radius, is
9
feet. So, let's plug that into our equation to find the arc length, in feet:
Arc length
=
2
π
r
⋅
(
x
360
∘
)
Arc length
=
2
π
(
9
)
⋅
(
60
∘
360
∘
)
Now, you might be tempted to plug this in your calculator, but let's simplify it a little bit more.
Arc length
=
2
π
(
9
)
⋅
(
60
∘
360
∘
)
Arc length
=
18
π
⋅
(
1
6
)
Arc length
=
3
π
feet
So, if you wanted an exact answer, it would be that the arc length is
3
π
feet
. If you wanted an approximate answer, then you can type
3
times
π
in your calculator to get a value of about
9.425
feet
as you alternative answer.
Step-by-step explanation:
16. Write the inequality that is shown on the graph.
Answer: 5<x<9
Step-by-step explanation:
Graph is from 5 to 9, not including 5 and 9. Let's say x is all the values from 5 to 9, not including 5 and 9.
So, answer is 5<x<9
help for brainliest please
Answer:
5/9
Step-by-step explanation:
When you divide 5 by 9, you will get 0.5 repeating. I know the answer because I had this question on Acellus.
What is the equation of the line? will mark u brainliest
Answer:
Consider points (1, 0) and (2, 2)
[tex]{ \tt{y = mx + c}} \\ [/tex]
m is the slope
[tex]{ \tt{m = \frac{2 - 0}{2 - 1} = 2 }} \\ [/tex]
Therefore
[tex]{ \tt{y = 2x + c}}[/tex]
consider point (1, 0);
[tex]{ \tt{0 = (2 \times 1) + c}} \\ { \tt{c = - 2}}[/tex]
Equation of line is;
[tex]{ \tt{y = 2x - 2}}[/tex]
A 3-gallon bottle of bleach costs $19.56. What is the price per quart?
The price per quart is 0.40 dollars
Given that A 3-gallon bottle of bleach costs $19.56 and asked to find out the price per quart.
There are 16 quarts for a gallon
For a 3-gallon bottle, price is 19.56 dollars
For a one-gallon bottle, the price is [tex]\frac{19.56}{3}[/tex] dollars.
⇒The price of the one-gallon bottle is 6.52 dollars.
The price of 16 quarts is 6.52 dollars.
The price of one quart is [tex]\frac{6.52}{16}[/tex]
The price of one quart is 0.40 dollars.
Therefore,the price of the one quart is 0.40 dollars.
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Eight less than the product of six and the difference of a number and two is twice the number. What is the number?
If 8 less than the product of 6 and the difference of a number and 2 is twice the number, then the number is 5.
As per the question statement, 8 less than the product of 6 and the difference of a number and 2 is twice the number.
We are required to calculate the number.
To solve this question, let us assume that our concerned number is "x". Now, we will form a linear equation of single variable, based on the conditions mentioned in the question statement, and solving for "x", we will obtain our desired answer.
[tex][6(x-2)-8]=2x\\or, 6x-12-8=2x\\or,6x-(12+8)=2x\\or,6x-20=2x\\or,6x-2x=20\\or, 4x=20\\or, x=\frac{20}{4} =5[/tex]
Product: In mathematics, a product is the result of multiplication of two or more numbers or factors.Linear Equation: A linear equation is an algebraic equation when graphed, always results in a straight line and each term has an exponent of 1.To learn more about Linear Equations, click on the link below.
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The two beakers below contain pure water.
Which of the following properties is the same for both of these samples?
A
Mass
B
Weight
C
Volume
D
Boiling Point
The blueprint for Zahra’s new office measures `4` cm long and `2` cm wide.The scale for the blueprint is `6` cm to `15` ft. What is the actual area of her office?
The actual area of Zahra's office is 50ft².
Proportions are used to solve scale problems using the rule of three.
The drawing is scaled from 6 cm to 15 ft, which means that each 6 cm represents 15 ft of real dimensions.
The length in the drawing is 4 cm, so:
4 cm - x ft6 cm - 15 ftCross multiplication is used:
6x = 60x = 60/6x = 10Her actual office measures are 10 feet long.
The width is 2 cm, so:
2 cm - x ft6 cm - 15 ftCross multiplication is used:
6x = 30x = 30/6x = 5Her actual office measures are 5 feet wide.
Formula of area: l × b
So, 10 × 5 = 50ft²Therefore, the actual area of Zahra's office is 50ft².
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2(5/2x+8)=20x-14
Solve for x
Answer:
x=2
Step-by-step explanation:
What’s the correct answer answer asap for brainlist
Answer:The answer is a.
Step-by-step explanation:I hope this helps.
What Is the term -3x and 5x combined to?
Answer:
Step-by-step explanation:
2x
5. Find the product: 26.4 x 0.15
A. 2.64
B. 3.96
C. 26.4
D. 29.6
please explain in number form and as little as possible but still explaining.
Answer:
B. 3.96
Step-by-step explanation:
use a calculator to solve the answer unless it's a sentence
A 100kg bag of granulated sugar is to
be put into smaller polythene (nylon)
bags each containing 250g. How
many polythene bags will needed?
100 kg = 100000 g
∴ bags needed = [tex]\frac{100000}{250}[/tex] = 400
34/75 divided by 51/100
[tex]\cfrac{34}{75}\div \cfrac{51}{100}\implies \cfrac{34}{75}\cdot \cfrac{100}{51}\implies \cfrac{34}{51}\cdot \cfrac{100}{75}\implies \cfrac{2}{3}\cdot \cfrac{4}{3}\implies \cfrac{8}{9}[/tex]
3
bec
At the end of the mini-golf game Heather was 2 over par, Alphonso was 3 under par,
Jackie was par, Wanda was I under par, and Trevor was 4 over par. Write an integer to
represent each of their golf scores. Then order the golfers from 1st to 5th place.
(Remember that the LOWEST score in golf wins!)
the order of golfers from 1st to 5 th is Trevor, Heather, Wanda, Jackie and Alphonso.
we are given that:
at the end of amini golf match,
Heather was 2 over par
So, Heather = 2
Alphonso was 3 under par
Alphonso = - 3
Jackie was par
Jackie = 0
Wanda was I under pa
Wanda = 1
Trevor was 4 over par.
Trevor = 4
Now arranging the integers from 1st to 5th place,
Trevor = 4 is 1st
Heather = 2 is 2 nd
Wanda = 1 is 3rd
Jackie = 0 is 4th
and Alphonso = - 3 is 5th
Therefore, the order of golfers from 1st to 5 th is Trevor, Heather, Wanda, Jackie and Alphonso.
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Since 9.2 is greater that 9 what is the result of 10 - 9.2
With algebraic operations, the value becomes 0.8.
According to the statement
We have to find that the value of the statement.
So, For this purpose, we know that the
Algebraic operation is any combination of a finite number of the operations of addition, multiplication, subtraction, and division.
And the The four basic algebraic operations are addition, subtraction, multiplication and division.
From the given information:
The result of 10 - 9.2
Then
10 - 9.2
Here we add to subtract the given terms
Then after subtracting the terms the value of the statement become
0.8
Then with the help of the algebraic operation the value becomes 0.8.
So, With algebraic operations, the value becomes 0.8.
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You are solving a measurement problem where the numbers 2.058 × 109 and 3.0571 × 10−4 are divided. How many significant digits should the quotient have?
The number of significant digits is 4
What is quotient?Quotient can be defined as the number that results from the division of a number by another number.
Example;
The quotient of 4 and 2 is expressed as;
= 4/ 2
= 2
From the information given, we have the numbers as;
2.058 × 10^93.0571 × 10^−4To determine the quotient, we have;
= 2.058 × 10^9/ 3.0571 × 10^−4
= 6. 731 × 10^12
The number of significant digits is 4
Thus, the number of significant digits is 4
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(BRAINLIESTING ANYONE WHO SOLVES THIS AND POSTS AN IMAGE OF SOLVED QUESTION)
Red and green lines are Parallel lines. and black line is perpendicular to the blue line.
How are parallel straight lines related?Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.
Since the parallel line has equation y = 2x + 2, thus its slope is 2 and thus, the slope of the needed line is 2 too.
In the given figure, we have a set of lines which are parallel and perpendicular to each others.
We know that Parallel lines are lies in the same plane which when extended do not meet and are always same distance apart from each other.
The Perpendicular lines are two non-vertical lines in the same plane that intersect at right angles.
From the figure given,
Red and green lines are Parallel lines. and black line is perpendicular to the blue line.
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Given the definitions of f(x) and g(x) below, find the value of (fog)(-3).
f(x) = 3x² - 7x-3
g(x) = -4x - 10
The value of the composite function (f o g)(3) is 1603
How to evaluate the composite function?The functions are given as
f(x) = 3x² - 7x - 3
g(x) = -4x - 10
Next, calculate (f o g)(x) using
(f o g)(x) = f(g(x))
So, we have
(f o g)(x) = 3(-4x - 10)² - 7(-4x - 10) - 3
Substitute 3 for x.
So, we have
(f o g)(3) = 3(-4 x 3 - 10)² - 7(-4 x 3 - 10) - 3
Evaluate
(f o g)(3) = 1603
Hence, the value of the composite function (f o g)(3) is 1603
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