Answer: To find the distance between two points on a grid, we can use the distance formula:
distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
In this case, the coordinates of the middle school are (-5, 3), and the coordinates of the library are (2, 3). So we have:
distance = sqrt((2 - (-5))^2 + (3 - 3)^2)
distance = sqrt((2 + 5)^2 + 0^2)
distance = sqrt(7^2)
distance = 7
Therefore, the library is 7 miles away from the middle school.
Step-by-step explanation:
Help help help help I really need help on this question please
Answer:60 cents per taco
Step-by-step explanation:
120/2=60
180/3=60
300/5=60
480/8=60
MATH I WILL GIVE BRAINLIEST!
d ≥ 4, The family must travel at least four days.
What is Inequality?Inequalities are mathematical formulas in which neither side is equal. Unlike equations, we compare two values in inequality. In between, the equal sign is replaced by less than (or less than or equal to), more than (or greater than or equal to), or not.
Given:
The family drives 350 miles per day.
they need to travel at least 1400 miles
let the number of day taken to travel 1400 miles.
So, the Inequality of the Situation as
350d ≥ 1400
d≥ 1400/350
d≥ 140/ 35
d ≥ 4
So, the family must travel at least four days.
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a flower nursery grows daisies 4/10 of the days is our golden color 8/10 of the gold days is are ready to cut which model shows the fraction of days is that are gold and ready to cut
The day she will order both kinds of flowers on the same day is 12th day of the year.
What is LCM?LCM is the full form of least common multiple, it stands for the lowest common multiple. The least common multiple of two numbers can be mentioned as the smallest number that is a multiple of both of them.
here, we have,
Given:
Sunflower order = every 6 days
Daisies order = every 4 days
Find the lowest common multiple of 6 days and 4 days
6 days = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60
4 days = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60
The lowest common multiple of 6 days and 4 days is 12 days
Therefore, the day she will order both kinds of flowers on the same day is 12th day of the year.
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Find the slope of the line shown below?
Please Help!
Solve each inequality:
1) P=a+b+2c
2) y=2ab-C
We can write the expression for {P} as -
P = a + b + 4ab - 2y
What is inequality?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size
Given are the expressions as -
P = a + b + 2c
y = 2ab - C
We can write -
C = 2ab - y
Putting the values in the equation -
P = a + b + 2c
P = a + b + 2(2ab - y)
P = a + b + 4ab - 2y
Therefore, we can write the expression for {P} as -
P = a + b + 4ab - 2y
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Help with part 2 please
The blanks when completes are:
The value of 6x - x² increases from 0 at x = 0 to 9 at x = 3, then decrease back at x = 6. Also, the values are 0 for x = 0...
How to complete the blanksFrom the question, we have the following parameters that can be used in our computation:
The table of values
From the table of values, we can see that
The function increases from x = to to x = 3The function decreases from 3 = to to x = 5This means that the values that complete the blanks are increase, decrease and 0
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What is the value of X? HELP ME PLEASE:) THIS QUESTION IS HARD WHATS THE ANSWER
Answer:
96 because 60 plus 36 equals 96 and value means add but if your multiplying the answer would be 2160
Step-by-step explanation:
Is {A, B, C} a subset of the set of letters of the alphabet?
The set {A, B, C} is a subset of the set of letters of the alphabet.
What are sub-sets:A subset is a set that contains only elements that are also in another set, called the superset. In other words, all of the elements in the subset are also contained in the superset.
For example, suppose we have a superset S = {1, 2, 3, 4, 5}. Then, the following sets are subsets of S:
{1, 2, 3}, {2, 4, 5}, {1}, and {} etc.
Here we have
{A, B, C} a subset
As we know, the set of the alphabet = { A, B, C, D,... Z }
which also includes the elements A, B, and C
Hence,
The set {A, B, C} is a subset of the set of letters of the alphabet.
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Andrea is buying some new shirts and sweaters. She is able to buy 3 shirts and 2 sweaters for $120, or she is able to buy 2 shirts and 4 sweaters for $160. How many dollars does a shirt cost? How many dollars does a sweater cost?
Answer:
Shirt = $20
Sweater = 30
Step-by-step explanation:
3sh + 2sw = 120
2sh + 4sw = 160
Multiply (3sh + 2sw = 120) by -2
-6sh + -4sw = -240 -> -6sh -4sw = -240
Add the two equations -6sh -4sw = -240 and 2sh + 4sw = 160 together. -4sh = -80
Shirt = 20
Substitude in 20
3 x 20 = 60 120 - 60 = 60 60/2=30
10. You are painting a room that is 18 feet long, 14 feet wide and 8 feet high. If the paint costs $6.50 a gallon and each gallon covers 128 square feet, how much will it cost to paint the room?
The total cost to paint the room is, $102.375.
What are the area and perimeter of a rectangle?We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.
Given, A room that is 18 feet long, 14 feet wide, and 8 feet high.
Therefore, The surface area of the room is,
= 18×14×8 aq feet.
= 2016 sq feet.
Now, Paint costs $6.50 a gallon and each gallon covers 128 square feet.
Therefore, The number of gallons of paint required is,
= (2016/128) gallons.
= 15.75 gallons.
So, The total cost of painting is,
= $15.75×6.50.
= $102.375.
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David has 6 pounds of dried fruit to make snack bags. He separates each pound of dried fruit into fourths and wants to use 1 fourth for each bag. How many snack bags can he make with all of the dried fruit?
Answer: 24
Step-by-step explanation: 6*4=24
i did 6*4 because there are 4 fourths in each pound
Write the equation of a rational function that has been translated left 2 units and shifted up 1 unit.
The equation of a rational function that has been translated left 2 units and shifted up 1 unit is; f(x) = (a(x - 2) + b + 1) / (c(x - 2) + d)
What is the equation after transformation?A relation is defined as a function in the event that it possesses only One y-value with a corresponding x-value.
A general form of how a rational function is represented is:
f(x) = (ax + b) / (cx + d)
To translate this function left 2 units, we need to replace x with x + 2. This gives us:
f(x + 2) = (a(x + 2) + b) / (c(x + 2) + d)
To shift this function up 1 unit, we need to add 1 to the numerator. This gives us:
f(x + 2) = (a(x + 2) + b + 1) / (c(x + 2) + d)
Therefore, the equation of a rational function that has been translated left 2 units and shifted up 1 unit is: f(x) = (a(x - 2) + b + 1) / (c(x - 2) + d)
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The net of a triangular prism and its dimensions are shown below. What is the total surface area of the prism? The net of a triangular prism and its dimensions are shown below.
What is the total surface area of the prism?
The total surface area of the prism is equal to 74 m².
How to calculate the total surface area of the triangular prism?In Mathematics, the total surface area of a triangular prism can be calculated by using this mathematical expression:
Total surface area of triangular prism = (Perimeter of the base × Length of the prism) + (2 × Base area)
Total surface area of triangular prism = (S₁ + S₂ + S₃)L + bh
where:
b is the bottom edge of the base triangle.h is the height of the base triangle.L is the length of the triangular prism.S₁, S₂, and S₃ represent the three sides (edges) of the base triangle.By substituting the given parameters, we have:
Total surface area of triangular prism = 4 + (5 × 4)3.5
Total surface area of triangular prism = 4 + (20)3.5
Total surface area of triangular prism = 74 m².
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if the dilation of K(-2,4) equals K'(1,-2), the scale factor used for the dilation is
Answer:
-1/2
Step-by-step explanation:
We know
The dilation of K(-2,4) equals K'(1,-2)
To get from -2 to 1, we time -1/2
To get from 4 to -2, we time -1/2
So, the scale factor used for the dilation is -1/2
7 years ago, Elijah won some money in the lottery and put it in a
bank account that earns 12% interest compounded annually. If
Elijah currently has $800.00 in the bank account, how much
interest has he earned?
The amount of interest he has earned is $438
What is compound interest?Compound interest is the interest you earn on interest. This can be illustrated by using basic math: if you have $100 and it earns 5% interest each year, you'll have $105 at the end of the first year. At the end of the second year, you'll have $110.25.
A = P ( 1+r/100) ^t
A is the amount after year t
P is the principal and r is the rate
800 = P( 1+ 12/100)⁷
800 = P( 1+ 0.12)⁷
800 = P ( 1.12)⁷
800 = P( 2.21)
P = 800/2.21
P = $362
A = P+ 1
I = A-P
I =800 - 362
I = $438
therefore the interest he earned is $438
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(x - 1) ^ 7 -( x -1) ^ 4
Find P(5.5 ≤ X ≤ 7.5) where x is normally distributed with mean μ = 2.6 and standard deviation σ = 2.2
Therefore, the probability that X is between 5.5 and 7.5 is approximately 0.0808.
An illustration of a distribution is what?If a company creates apparel and sells it to people directly through an online site, it may be using direct distribution.
To solve this problem, we need to standardize the distribution of X to a standard normal distribution. This is done using the following formula:
Z = (X - μ) / σ
where Z is the standard normal variable, X is the normally distributed variable, μ is the mean of X, and σ is the standard deviation of X.
Using the given values, we have:
Z1 = (5.5 - 2.6) / 2.2 = 1.318
Z2 = (7.5 - 2.6) / 2.2 = 2.682
We can then find the probability using the standard normal distribution table or a calculator with a built-in normal distribution function.
Using the table or calculator, the probability is:
P(5.5 ≤ X ≤ 7.5) = P(1.318 ≤ Z ≤ 2.682) = 0.0808 (rounded to four decimal places)
Therefore, the probability that X is between 5.5 and 7.5 is approximately 0.0808.
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in need of help! thank you in advance
Answer:
1. 12
2. 6
3. 4.5
4. 7
Don't quite under #5
Explanation:
Sample mean = ΣX / n
1. 108 / 9 = 12
2. 72 / 12 = 6
3. 2 + 7 + 9 + 4 + 5 + 3 + 0 + 6 = 36 / 8 = 4.5
4. 8 + 2 + 5 + 7 + 12 + 9 + 11 + 3 + 6 = 63 / 9 = 7
number that multiply to 375 but adds to -10
The two numbers that multiply to 375 and add to -10 are -25 and 15.
How to find two numbers that multiply ?To find two numbers that multiply to 375 but add to -10, we can use a system of equations.
Let's call the two numbers we're looking for x and y. Then we have:
xy = 375 (since they multiply to 375)
x + y = -10 (since they add to -10)
We can use the second equation to solve for one variable in terms of the other. For example, if we solve for y, we get:
y = -x - 10
Now we can substitute this expression for y into the first equation:
x(-x - 10) = 375
Expanding the left side gives:
-x^2 - 10x = 375
Bringing everything to one side gives:
x^2 + 10x - 375 = 0
We can factor this quadratic equation as:
(x + 25)(x - 15) = 0
This gives us two possible values for x: x = -25 or x = 15.
If x = -25, then y = -10 - (-25) = 15.
If x = 15, then y = -10 - 15 = -25.
So, The two numbers that multiply to 375 and add to -10 are -25 and 15.
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Let y=f(x), where
f(x)=x^5 -8x.
Find the differential of the function.
dy=
The differential of the function, f(x)=x^5 -8x is
df(x) = (5x^4 - 8) dx. That is dy = (5x^4 - 8) dx
Determining the differential of the given functionFrom the question, we are to determine the differential of the given function
To find the differential of the function f(x), we use the formula:
df(x) = f'(x) dx
where f'(x) is the derivative of f(x) with respect to x, and dx is an infinitesimal change in x.
First, we need to find the derivative of f(x):
f'(x) = 5x^4 - 8
Now we can substitute this into the differential formula:
df(x) = (5x^4 - 8) dx
Hence, the differential of the function is
df(x) = (5x^4 - 8) dx
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2/7
of the 140 students in a contest gave their speeches. How many students gave their speeches?
Yesterday,
Write your answer in simplest form.
Answer:40
140/7=20
20x2=40
40 is the same as two-sevenths of 140
1.1 PQR is a tangent to circle QABCD. AB is parallel to QD and CD = CB. Ĉ= 110°; D3= 70° and ₂= 100°. P Cloo Determine with reasons the sizes of the following: 1.1.1 B₁ (3) 1.1.2 ABC (4) 1.1.3 D₂ (2) 1.1.4 A₂
Answer: Unfortunately, the given information is not sufficient to answer the questions 1.1.1, 1.1.2, 1.1.3, and 1.1.4. However, I can provide some insights based on the given information.
1.1.1: B₁ is not defined in the given information. Without knowing what B₁ represents, we cannot determine its size.
1.1.2: We know that AB is parallel to QD, and CD = CB. Also, angle Ĉ = 110°. However, we don't know the location of point P, so we cannot determine the size of angle ABC.
1.1.3: We know that angle D₃ = 70°, but we don't know the location of point P, so we cannot determine the size of angle D₂.
1.1.4: We know that angle ₂ = 100°, but we don't know the location of point P, so we cannot determine the size of angle A₂.
Step-by-step explanation:
Find the value of each variable please show proofs
PLEASE HELP IM SO LOST !!
The function has domain = {2, , 5, - 4, - 5} and rangle = {1, 4, 5, 3, - 6} and it is not a function.
What is the domain and range of a function?Suppose we have an ordered pair (x, y) then the domain of the function is the set of values of x and the range is the set of values of y for which x is defined.
From the given coordinate plots the ordered pairs are,
(2, 1), (2, 4), (5, 5), (- 4, 3), and (- 5, - 6).
We know a relation is not a function when two distinct ordered pairs have the same x-coordinate.
In this case (2, 1) and (2, 4) have the same x-coordinate and hence it is not a function.
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In ΔRST, s = 85 inches, mm∠S=28° and mm∠T=87°. Find the length of t, to the nearest inch.
Answer:
181
Step-by-step explanation:
Answer:
181
Step-by-step explanation:
Just Cause.
What is the eighth term of 4000, 800, 160, 32
The eighth term of 4000, 800, 160, 32... will be 0.0512.
What is geometric progression?
A geometric progression is also known as the geometric sequence which is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.
We are given, 4000, 800, 160, 32, ....
a is the first term = 4000
The terms are in reducing order of 1/5 at each stage.
So, 5th term = 32/5 = 6.4
6th term = 6.4/5 = 1.28
7th term = 1.28/5 = 0.256
And 8th term = 0.256/5 = 0.0512
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Complete the inequality for this graph.
y <?
The inequality for this graph is given as follows:
y < 2.
What are the inequality symbols?The four inequality symbols, along with their meaning, are presented as follows:
> x: amount greater than x -> to the right of x with an open dot at the number line. -> above the dashed horizontal line y = x on the coordinate plane.< x: amount less than x. -> to the left of x with an open dot at the number line. -> below the dashed horizontal line y = x on the coordinate plane.≥ x: amount at least x. -> to the right of x with a closed dot at the number line. -> above the solid horizontal line y = x on the coordinate plane.≤ amount at most x. -> to the left of x with a closed dot at the number line. -> above the dashed horizontal line y = x on the coordinate plane.For the graph in this problem, the inequality is composed by the values that are below y = 2, with an open interval as the line is dashed and not solid, hence it is defined as follows:
y < 2.
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Which graph represents a function with direct variation? A coordinate plane with a line passing through (negative 4, 0) and (0, negative 2). A coordinate plane with a line passing through (negative 5, 4) and (0, 3). A coordinate plane with a line passing through (negative 4, negative 6) and (0, 3). A coordinate plane with a line passing through (negative 1, negative 4), (0, 0) and (1, 4). Mark this and return
The variable y is directly proportional to x, which is the definition of direct variation.
What is coordinate geometry?The intersection of two perpendicular lines, the x-axis and the y-axis, results in a 2D plane known as a coordinate plane. In geometry, a coordinate system is a method for calculating the positions of the points using one or more integers or coordinates.
The graph that represents a function with direct variation is a coordinate plane with a line passing through (0, 0) and some other point that is not the origin.
Out of the given options, the graph that represents a function with direct variation is the coordinate plane with a line passing through (negative 4, 0) and (0, negative 2).
This is because the equation of this line can be written in the form y = mx, where m is the slope of the line. In this case, the slope is:
m = (0 - (-2)) / (-4 - 0) = 1/2
So the equation of the line is y = (1/2)x - 2, which is in the form of y = kx, where k = 1/2. This means that y is directly proportional to x, which is the definition of direct variation.
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A researcher watches popular television shows and records every time someone interrupts a speaker. She wants to understand the frequency of interruption on television.
Answer:
the frequency of someone interru
Step-by-step explanation:
The correct answer is (d) noise. Unwanted sound that is regarded loud, unpleasant, or disruptive to hearing is called noise.
What is noise?Even if the label "unwanted" is arbitrary, some sounds are frequently regarded as noise. A sound pressure level, expressed in decibels, is used to measure or anticipate noise (dB).
here, we have,
The measurements and noise meter used depend on the application; different noise metrics can account for magnitude, frequency, and time in different ways.
and, we have,
Another illustration is workplace noise, where the effect of noise on hearing loss is of utmost importance.
To offer a degree of exposure that can be associated to the possibility of hearing loss in employees exposed to the sound during the course of exposure, both the intensity and duration of sound are combined.
Hence, The correct answer is (d) noise. Unwanted sound that is regarded loud, unpleasant, or disruptive to hearing is called noise.
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Complete question:
ivan is trying to understand the concern of an angry customer, but several employees keep interrupting the conversion. these interruptions are an example of
5,10,15,20,25 is this an arithmetic or geometric sequence
Because of the common difference of 5, this series is math because it has a common difference of 5.
What in mathematics is an arithmetic sequence?An arithmetic series is one in which each term grows by adding or removing a certain number, k. In a geometric series, each term grows by dividing by or increasing by a certain constant k. For instance, a1 = 25 and a(n) Equals a(n-1) Plus 5.
This is a list of numbers.
Each term in an arithmetic series is created by adding a fixed difference to the term before it. The distance between successive words in this order is 5:
10 - 5 = 5
15 - 10 = 5
20 - 15 = 5
25 - 20 = 5
Therefore, this sequence has a common difference of 5, which means it is an arithmetic sequence.
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