Answer:
Step-by-step explanation:
A i think sorry if it is wrong
The only ordered pair that can be added to make the relation a function, without repeating an x-value, is option B. (-1,-1).
The question is asking which ordered pair (x,y) makes the given set of ordered pairs a function. A function is defined as a relation where every x-value (input) is associated with exactly one y-value (output). We already have the points (2,3), (–2,5), (4,4), and (-4,5) in our set. To maintain the definition of a function, the x-value of the ordered pair we are going to add cannot be the same as any x-value already present in the set. Looking at our options:
A. (-4, -1) - This would not work because the x-value -4 is already paired with the y-value 5 in our set.B. (-1,-1) - This is a possibility as the x-value -1 is not in the set.C. (-2,-1) - This would not work because the x-value -2 is already paired with the y-value 5 in our set.D. (2, -1) - This would not work because the x-value 2 is already paired with the y-value 3 in our set.Therefore, the only ordered pair that makes the relation a function is option B. (-1,-1).
a truck filled with a load of peanuts drives onto an 80-ft long ramp at a peanut factory. the front end of th ramp raised 30 degrees to empty the peanuts. what is the height of the ramp?
Answer:
Step-by-step explanation: so, u would do 80 times 30 which equals 2400. Then u would divide 2,400 by 4 which gives u ur answer which is 60ft long! :)
Answer:
if im right its 110ft
Step-by-step explanation:
The following data represent the number of people aged 25 to 64 years covered by health insurance (private or government) in 2018. Approximate the mean and standard deviation for age.
Age: 25-34. 35-44. 45-54. 55-64
Number 22.1. 31.5. 37.7. 25.3
(Millions)
The approximate mean age is [tex]\(45.15\)[/tex] years, and the approximate standard deviation for age is [tex]\(9.22\)[/tex] years, both rounded to two decimal places.
To approximate the mean and standard deviation for the age groups provided, we can calculate the weighted average based on the midpoint of each age group and use the formula for the standard deviation of a weighted dataset.
First, calculate the midpoints of the age groups:
- For 25-34 years: midpoint = (25 + 34) / 2 = 29.5
- For 35-44 years: midpoint = (35 + 44) / 2 = 39.5
- For 45-54 years: midpoint = (45 + 54) / 2 = 49.5
- For 55-64 years: midpoint = (55 + 64) / 2 = 59.5
Next, calculate the weighted mean using the formula:
[tex]\[ \text{Weighted Mean} = \frac{\sum (\text{Midpoint} \times \text{Number of People})}{\sum \text{Number of People}} \][/tex]
[tex]\[ \text{Weighted Mean} = \frac{(29.5 \times 22.1) + (39.5 \times 31.5) + (49.5 \times 37.7) + (59.5 \times 25.3)}{22.1 + 31.5 + 37.7 + 25.3} \][/tex]
[tex]\[ \text{Weighted Mean} \approx \frac{651.45 + 1244.25 + 1867.35 + 1503.35}{116.6} \][/tex]
[tex]\[ \text{Weighted Mean} \approx \frac{5266.4}{116.6} \][/tex]
[tex]\[ \text{Weighted Mean} \approx 45.15 \text{ years (approx)} \][/tex]
Now, calculate the standard deviation using the formula:
[tex]\[ \text{Weighted SD} = \sqrt{\frac{\sum (\text{Number of People} \times (\text{Midpoint} - \text{Weighted Mean})^2)}{\sum \text{Number of People}}} \][/tex]
[tex]\[ \text{Weighted SD} = \sqrt{\frac{(22.1 \times (29.5 - 45.15)^2) + (31.5 \times (39.5 - 45.15)^2) + (37.7 \times (49.5 - 45.15)^2) + (25.3 \times (59.5 - 45.15)^2)}{116.6}} \][/tex]
[tex]\[ \text{Weighted SD} \approx \sqrt{\frac{9919.575}{116.6}} \][/tex]
[tex]\[ \text{Weighted SD} \approx \sqrt{85.004} \][/tex]
[tex]\[ \text{Weighted SD} \approx 9.22 \text{ years (approx)} \][/tex]
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Min is trying to place some bookmarks inside a 10000 page book. the pages that she wants to place the bookmarks on have four digits page numbers. the digits in the thousands and units places add up to 7. How many bookmarks will she need?
Final answer:
Min will need a total of 700 bookmarks for the pages where the digits in the thousands and units places add up to 7, since there are 700 four-digit page numbers meeting the criteria.
Explanation:
To determine the number of bookmarks Min needs for the pages where the digits in the thousands and units place add up to 7, we will consider all four-digit numbers that meet this criterion. This involves taking the sum of the thousands and units digits, which can equal 7 in the following ways: 1+6, 2+5, 3+4, 4+3, 5+2, 6+1, and 7+0. Considering that for every combination of thousands and units digits, there are 10 possibilities for the hundreds digit and 10 possibilities for the tens digit, we can calculate the total number of eligible page numbers.
For 1+6 or 6+1, the number of possibilities is 2 (the two combinations) multiplied by 100 (since there are 10 choices for each of the two remaining digits), giving us 200 options.
For 2+5 or 5+2, we have another 200 options.
For 3+4 or 4+3, we get another 200 options.
For 7+0, we would only have 100 options, as there is only one combination.
Summing these up, we find Min will need 700 bookmarks: 200 + 200 + 200 + 100 = 700.
she wants the base length of this triangle to be 8 inches. the area of the pennant must be less than 36 square inches
Answer: The height/width has to be less than 9 for the area to be less than 36
Step-by-step explanation:
Pennant's are triangle.
Triangle area = bh(1/2)
the base is 8in
(8 * h)/2 = 36
*2
8 * h = 72
/8
h = 9
The height/width has to be less than 9
1. A clothing store is having a sale of
30% off all dresses. What is the discount
and new price of a dress that originally
cost $90?
Answer:
$63
Step-by-step explanation:
30% of 90 is 27
90-27=63
Tamar travels 8/9 miles to the grocery store. Melkon travels 10 miles to the grocery store. Write the ratio of the distance Melkon travels to the distance Tamar travels as a fraction in simplest form. Write the ratio of the distance Tamar travels to the distance Melkon travels as a fraction in simplest form. PLZ I NEED URGENT HELP I NEED THE ANSWER
[tex]\frac{\text{Distance of melkon}}{\text{Distance of tamar}} = \frac{45}{4}\\\\\frac{\text{Distance of tamar}}{\text{Distance of melkon}} = \frac{4}{45}[/tex]
Solution:
Given that,
Tamar travels 8/9 miles to the grocery store
Melkon travels 10 miles to the grocery store
Therefore,
[tex]Tamar = \frac{8}{9}\ miles\\\\Melkon = 10\ miles[/tex]
Write the ratio of the distance Melkon travels to the distance Tamar travels[tex]\text{ Distance of melkon : Distance of tamar } = 10 : \frac{8}{9}\\\\\text{ Distance of melkon : Distance of tamar } = \frac{10 \times 9}{1 \times 9} : \frac{8}{9}\\\\\text{ Distance of melkon : Distance of tamar } = \frac{90}{9} : \frac{8}{9}\\\\\text{ Distance of melkon : Distance of tamar } =90 : 8\\\\In\ fraction\ form\\\\\frac{\text{Distance of melkon}}{\text{Distance of tamar}} = \frac{90}{8}\\\\In\ simplest\ form\\\\\frac{\text{Distance of melkon}}{\text{Distance of tamar}} = \frac{45}{4}[/tex]
Write the ratio of the distance Tamar travels to the distance Melkon travels[tex]\text{ Distance of tamar : Distance of melkon } = \frac{8}{9} : 10\\\\\text{ Distance of tamar : Distance of melkon } = \frac{8}{9} : \frac{10 \times 9}{1 \times 9}\\\\\text{ Distance of tamar : Distance of melkon } = \frac{8}{9} : \frac{90}{9}\\\\\text{ Distance of tamar : Distance of melkon } = 8 : 90\\\\In\ fraction\ form\\\\\frac{\text{Distance of tamar}}{\text{distance of melkon}} = \frac{8}{90}\\\\\frac{\text{Distance of tamar}}{\text{distance of melkon}} = \frac{4}{45}[/tex]
Thus the required are found
Write equivalent fractions to 2.5
Answer:
5/2 or 2 1/2
Step-by-step explanation:
Name the restrictions on x then solve showing your steps. 2/(x-3)= 5/x
Answer:
Restrictions: x ≠ 0, 3
The value of x is equal to 5.
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityTerms/Coefficients
Expanding/FactoringDomain
Step-by-step explanation:
Step 1: Define
Identify given.
[tex]\displaystyle \frac{2}{x - 3} = \frac{5}{x}[/tex]
Step 2: Examine
Since we have an x - 3 and x in the denominator, we must make sure the denominator cannot equal 0, or that would get us an undefined answer. Therefore, our restrictions are that x ≠ 0, 3.
Step 3: Solve for x
[Multiplication Property of Equality] Cross-multiply:Since 5 is not equal to 0 or 3, it can be our solution.
∴ we have found the value of x from the given rational function.
---
Topic: Algebra I
what is the distance between -2/3 and 4/3 on a number line?
A number line can be defined as a horizontal line that can be extended and have numbers on it. The distance between -2/3 and 4/3 on a number line is 3 units.
What is a number line?A number line can be defined as a horizontal line that can be extended in any direction indefinitely and has all the integers over it. As one walks from left to right on the number line, the numbers grow, and as one proceeds from right to left, the numbers decrease.
The distance between the two can be found by deducting -2/3 from 4/3. Therefore, the distance between the two can be written as,
[tex]\rm Distance = \dfrac{4}{3}-(- \dfrac{2}{3}) = \dfrac{4}{3}+\dfrac{2}{3} = \dfrac{4+2}{3} = \dfrac{6}{3} = 2[/tex]
Thus, the distance between -2/3 and 4/3 on a number line is 3 units.
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Which BEST describes the system of equations graphed on the coordinate plane?
A) Consistent
B) Inconsistent
C) Consistent and Dependent
D) Consistent and Independent
Answer:
C) Consistent and Dependent.
Step-by-step explanation:
As the system has at least ONE solution. Both lines lie over each other, which makes them dependent.
The system, therefore, is consistent and dependent.
Write the equation of a line that passes through the point (-2, 1) and has a slope of 4.
2. All
OA. y=4x - 7
OB. y= 4x+1
OC. y= 4x+3
OD. y= 4x + 9
Question serial: 1154203447-dhwm78.2
Answer:
look at picture shown please
Write the following sentence using mathematical symbols.
Twice the difference of x and 3 is greater than the reciprocal of 14.
Answer:
[tex]2(x - 3)\: >\: \frac{1}{14}[/tex]
Step-by-step explanation:
The difference of x and 3 is given as:
x-3
Twice the difference of x and 3 becomes:
2(x-3)
The reciprocal of 14 is
[tex] \frac{1}{14} [/tex]
Twice the difference of x and 3 is greater than the reciprocal of 14 then becomes
[tex]2(x - 3)\: >\: \frac{1}{14} [/tex]
The sum of interior angles of a regular polygon is 1800
Find the measure of each interior angle of the polygon.
Answer:
The measure of each interior angle of the dodecagon is 150 degrees.
Step-by-step explanation:
(n - 2) x 180 = 1800 Use the equation to find the number of sides
n - 2 = 10 Divide by 180 on both sides
+ 2 + 2 Add 2 to both sides
n = 12
Take the sum of the interior angles divided by the number of sides to find the measure of each angle
1800/12 = 150 degrees for each angles of the dodecagon.
rewrite the equation
You can buy school uniforms though an online catalog.Boys can order either navy blue or khaki pants with a red,white,or blue shirt.How many uniform combinations are there online for boys
Answer:
6 combinations
Step-by-step explanation:
Pants options: Navy Blue, Khaki
Shirt options: Red, white, blue
Possible combinations:
Navy Blue with: Khaki with:
Red Red
White White
Blue Blue
There are 6 outfit possibilities
Hope this helps and let me know if you have any questions about my answer :)
Which of the following values are in the range of the function graphed below? Check all that apply.
A. 2
B. 1
C. 3
D. 5
E. -2
Answer:
1, 2, 3
Step-by-step explanation:
The range includes only the y-axis. On this graph, the line only passes by the 1,2, and 3 on the y-axis.
Steve gets $100 a week, plus 15% of sales. Which equation best represents his salary?
A.) y = 100x + 0.15
B.) y = 0.15x + 100
C.) y = -0.15 x + 100
D.) y = -100x +0.15
Answer y = 0.15x + 100
Step-by-step explanation:
When Luis begins painting, he realizes it takes him 45 seconds to complete 1 square foot. The room he is painting has 272 square feet. How many seconds will it take Luis to complete the project? Now, convert this to minutes?
It will take Luis 12240 seconds to complete the project.
12240 seconds are 204 minutes when converted.
Step-by-step explanation:
Given,
Time taken to paint 1 square foot = 45 seconds
Time taken for 272 square feet = 45*272
Time taken for 272 square feet = 12240 seconds
We know that;
60 seconds = 1 minute
Therefore;
We will divide the total seconds by 60 to convert them into minutes.
12240 seconds = [tex]\frac{12240}{60} = 204\ minutes[/tex]
It will take Luis 12240 seconds to complete the project.
12240 seconds are 204 minutes when converted.
Keywords: conversion, multiplication
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The sum of ten and the quotient of a number xxx and 666.
Answer:
[tex]10+\dfrac{x}{6}[/tex]
Step-by-step explanation:
The wording, "the sum of A and B" translates to the math formula A+B.
The wording, "the quotient of A and B" translates to the math formula A/B.
Then "the sum of 10 and the quotient of x and 6" will translate to the math formula ...
[tex]\boxed{10+\dfrac{x}{6}}[/tex]
What is the relationship between cos(90°) and cos(-90°)?
Answer:
they have the same value (0)
Step-by-step explanation:
Cosine is an even function, meaning that cos(x) = cos(-x). When x=90°, we have ...
cos(90°) = cos(-90°)
Both values happen to be zero.
The relationship between cos(90°) and cos(-90°) is that they both equal 0.
Explanation:The relationship between cos(90°) and cos(-90°) can be explained using the unit circle. In the unit circle, the cosine function represents the x-coordinate of the point on the circle corresponding to the given angle.
For cos(90°), the x-coordinate is 0, which means the cosine value is 0.
For cos(-90°), the x-coordinate is also 0, so the cosine value is also 0. Therefore, cos(90°) = cos(-90°) = 0.
When people leave a 15% or 20% tip they often round up to the nearest multiple of 5 or 10 cents. If Kadisha always rounds up what is a 20% tip on her bill?
To calculate a 20% tip and round up, multiply the bill by 0.2, then round to the nearest 10 cents.
Explanation:To calculate a 20% tip, first, determine the total bill amount. Then, multiply the bill amount by 0.2 to find 20% of the bill. Finally, round up to the nearest multiple of 5 or 10 cents. Since Kadisha always rounds up, she should round up to the nearest 10 cents.
If the total bill is $50, to calculate a 20% tip, we multiply $50 by 0.2 to get $10, which is 20% of the bill. Then, we round up to the nearest 10 cents, making the tip $10.00.
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The difference of the square of a number and 4 is equal to 3 times that number. Find the negative solution.
Final answer:
The negative solution to the equation x² - 3x - 4 = 0 is x = -1.
Explanation:
The difference of the square of a number and 4 is equal to 3 times that number. To find the negative solution, let's represent the number as x.
The equation becomes x2 - 4 = 3x.
Rearranging the equation, we get x2 - 3x - 4 = 0.
To find the negative solution, we can use the quadratic formula: x = (-b - √(b2 - 4ac)) / (2a).
For our equation, a = 1, b = -3, and c = -4. Plugging these values into the quadratic formula, we get x = (-(-3) - √((-3)2 - 4(1)(-4))) / (2(1)).
Simplifying further, we get x = (3 - √(9 + 16)) / 2, which simplifies to x = (3 - √25) / 2.
The square root of 25 is 5, so x = (3 - 5) / 2, which equals -1.
Therefore, the negative solution to the equation is x = -1.
Braden jumped
9 5/16 feet in the long jump. jordan jumped 8 7/8 feet. how much farther did braden jump than jordan?
the options were
A. 7/16 of a foot
B. 9/16 of a foot
C. 1 7/16 of a foot
D. 1 9/16
Option A: 7/16 of a foot is the right answer
Step-by-step explanation:
Given
Length of Braden's Jump = [tex]9\frac{5}{16} = \frac{149}{16}[/tex] feet
Length of Jordan's Jump = [tex]8\frac{7}{8} = \frac{71}{8}[/tex]
In order to find how much farther Braden jumped than Jordan
[tex]=\frac{149}{16} - \frac{71}{8}\\=\frac{149-142}{16}\\=\frac{7}{16}[/tex]
Braden jumped 7/16 feet farther than Jordan
Hence,
Option A: 7/16 of a foot is the right answer
Keywords: Fractions, measurements
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Final answer:
By converting Jordan's jump to sixteenths and subtracting it from Braden's, we determine that Braden jumped 9/16 of a foot farther than Jordan. The correct answer is option B.
Explanation:
The question involves finding out how much farther Braden jumped than Jordan. To solve this, we subtract Jordan's jump length from Braden's jump length. Braden jumped 9 5/16 feet, and Jordan jumped 8 7/8 feet.
First, we need to find a common denominator to subtract the fractions. The common denominator for 16 and 8 is 16. Convert Jordan's jump to sixteenths: 8 7/8 equals 8 14/16.
Now, subtract Jordan's jump from Braden's: 9 5/16 - 8 14/16 = 1 - 9/16. Braden jumped 9/16 of a foot farther than Jordan.
So the correct answer is option B. 9/16 of a foot.
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At an ice carving competition, each carver starts with a block of ice with the dimensions shown. The block is
wrapped in a special reflective material to keep it from melting before the competition starts.
3 ft
4 ft
How much reflective material is needed to cover the block completely, without any overlaps?
feet
The question cannot be fully answered as provided since only two dimensions of the ice block are given. To determine the amount of reflective material, all three dimensions (length, width, height) of the block are needed to calculate the total surface area. Without the third dimension, the exact surface area cannot be calculated.
Explanation:The question asks how much reflective material would be needed to cover a block of ice with given dimensions completely for an ice carving competition. Since only two dimensions are provided, let's assume the block has a third dimension making it a rectangular prism. To find the surface area of the block (which is the amount of reflective material needed), we calculate the area of each face and sum them up. A rectangular prism has six faces: the front and back, the top and bottom, and the two sides. If we denote the dimensions of the block as length (l), width (w), and height (h), the areas of the respective faces are:
Front and back: l * h eachTop and bottom: l * w eachSides: w * h eachAssuming the dimensions provided are the length and height (l = 3 ft and h = 4 ft), and an unknown width (w), we cannot calculate the exact surface area without the third dimension. Ideally, the width would be provided to complete the calculation.
6th grade math, assignment attached
Solve for x: the quantity of x plus 16 all over 3 = 3x (1 point) x = −7 x = −13 x = 8 x = 2
Step-by-step explanation:
We have,
[tex]\dfrac{x+16}{3}=3x[/tex]
To find, the value of x in the given equation = ?
∴ [tex]\dfrac{x+16}{3}=3x[/tex]
By crossmultiplication, we get
3(3x) = x + 16
⇒ 9x = x + 16
⇒ 9x - x = 16
⇒ 8x = 16
⇒ x = [tex]\dfrac{16}{8}[/tex]
⇒ x = 2
∴ The value of x = 2
Thus, the required value of x is equal to 2.
If 4 liters of motor oil cost 3.88 dollars, what is the price for one liter
Answer:
.97 cents
Step-by-step explanation:
3.88 divided by 4 = .97
Answer:
97¢
Step-by-step explanation:
If 4 liters cost $3.88, then divide 4 into 3.88
please help asap will give brainliest
Answer:
1) a = 3189 b = 5
2) a = 53 b = -5
Step-by-step explanation:
In circle A, arc CD is congruent to arc BD. What is the measure of arc CD?
90
180
45
Check the picture below.
The measure of arc CD of circle A will be 90°. Then the correct option is A.
What is the arc length of the sector?Let r be the radius of the sector and θ be the angle subtended by the sector at the center. Then the arc length of the sector of the circle will be
Arc = (θ/2π) 2πr
In circle A, arc CD is congruent to arc BD. And we know that the Line segment CAD is the diameter of the circle. Then the equation is given as,
arc CD = arc BD ....1
arc CD + arc BD = 180° ....2
From equations 1 and 2, then we have
arc CD + arc CD = 180°
2 arc CD = 180°
arc CD = 90°
The measure of arc CD of circle A will be 90°. Then the correct option is A.
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What is the answer 5(9 + p) = 125
Answer:
p=17
The drawing will help
Answer: p = 16
Step-by-step explanation: To solve for p in this equation, our first step is to simplify the left by distributing the 5 through both terms inside the parentheses.
When we do that,
we get 5 times 9 which is 45 and 5 times p which is 5p.
So we have 45 + 5p = 125.
Our next step is to isolate the p term by subtracting 45 from both sides of the equation. On the left side of the equation, 45 - 45 cancels and we're left with 5p.
On the right side of the equation, 125 - 45 simplifies to 80.
So we have 5p = 80.
We want to solve our equation for p so we want to get p by itself on the left side of the equation. Since p is being multiplied by 5, we need to divide both sides of the equation by 5. On the left side of the equation.notice that the 5 and 5 cancel each other out so we're just left with p and on the right side, 80 divided by 5 is 16 so we have p = 16.