From the given situation, we have that:
A. The table is completed as follows:
2 horses - 40 pounds.3 horses - 60 pounds.4 horses - 80 pounds.5 horses - 100 pounds.6 horses - 120 pounds.7 horses - 140 pounds.B. The unit rate is of 20 pounds of ray per horse.
C. There is a proportional relationship between the pounds of hay eaten daily and the number of horses, because the division of the output(pounds of hay) by the input(number of horses) always results in a constant.
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
Each horse at a ranch eats 20 pounds of hay each day, hence the proportional relationship that models the total amounts of hay consumed by x horses is given by:
y = 20x.
The table is completed as follows, with the bolded numbers being the empty positions in the table.
2 horses - 40 pounds.3 horses - 60 pounds.4 horses - 80 pounds.5 horses - 100 pounds.6 horses - 120 pounds.7 horses - 140 pounds.Considering the relationship y = 20x, we have that:
B. The unit rate is of 20 pounds of ray per horse.
C. There is a proportional relationship between the pounds of hay eaten daily and the number of horses, because the division of the output(pounds of hay) by the input(number of horses) always results in a constant.
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the boxplot shows the fuel economy ratings for 67 subcompact cars with the same model year. some summary statistics are also provided. the extreme outlier is an electric car whose electricity usage is equivalent to 112 miles per gallon. if that electric car is removed from the data set, how will the standard deviation be affected? the iqr?
Removing the electric car from the data set will reduce the standard deviation as the extreme value of 112 mpg is taken out, resulting in a decrease in the spread of the data. The interquartile range (IQR) will also be affected as the extreme outlier is taken out, will decrease the spread of the data in the boxplot.
The electric car with a rating equivalent to 112 miles per gallon is an extreme outlier, which means it is very far from the rest of the data. Therefore, removing this outlier from the data set will decrease the variability and, consequently, decrease the standard deviation. The extreme outlier with the rating equivalent to 112 miles per gallon is outside of the whiskers of the boxplot, which means it is beyond the range of the middle 50% of the data. Therefore, removing this outlier from the data set will decrease the spread of the data in the boxplot and, consequently, decrease the IQR.
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HELP!!! a wooden block in a set of building blocks is a rectangular prism with a volume of 168 cubic centimeters. the block is x2 centimeters tall, (x-3) centimeters long, and (x-4) centimeters wide. find the dimensions of the block.
The dimensions of the wooden block are 14cm tall, 4cm long and 3 cm wide.
What is prism?In three dimensional space prism is a polyhedron where two ends are similar.
Given that volume of rectangular prism is 168 cubic centimeters.
And the wooden block is 2x cm tall, (x-4) cm wide and (x-3) cm long.
And also given that a wooden block in a set of building blocks is a rectangular prism.
That means,
Volume of wooden block = Volume of rectangular prism = 168 cm³
Volume of wooden block ;
length × width × height = 168 cm³
Substituting given values in above expression,
2x (x-3) (x-4) = 168 cm³
2x (x²-7x + 12) = 168 cm³
2x³ - 14x²+ 24x = 168 cm³
Simplifying the above equation;
2x³ - 14x²+ 24x- 168 = 0
x³ - 7x²+ 12x- 84 = 0
The factor of above cubic equation is x = 7.
Now the 2x = 14 , x-3 = 4, x-4 = 3.
Therefore the dimensions of the wooden block are 14cm tall, 4cm long and 3 cm wide.
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What is the mean of 3, 5, 4, 3, 5, 4
Step-by-step explanation:
FX=3+5+4+3+5+4
=24
N=6
mean (x)=?
Now,
x=FX÷N
=24÷6
=4
TIS THE SEASON. for the Slope Formula! Directions: Find the slope of the line that passes through each pair of points. Identify matching answers between Column 1 and Column 2, then color the lights accordingly. M = 42 - 41 Column 2 Column 1 X2 - X2 x 4 x2 42 1 (3, 8) and (9, 10) Red: (9, 2) and (4, 2) x 4 2/ (-2, 13) and (1, 1) Orange: (5, 16) and (-4, 3) X1 42 x2 42 5/6 x y X2 40 * (-8, nand (-4, -9 ) yellow: (-4, -7) and (-6, -1 1) 12, 42 x2, 42 X2 40 A. (3, -5) and (3,25 under x y Light Green: (-12, 3) and (2, 7) 5. (-7, 4) and (0, 2) 2/ 7 Dark Green: (-9 , -7 ) and (0 , 5) 4 ( -4 , 12 ) and ( 4 , 6) 3/ 4 Xy XQ y2 Light Blue: (-1, 8) and (-1, -4) Dark Blue: (-3, -5) and (6, 57 (5, -5) and (11 2) X2 92 X4yz x2 42 Purple (-4, -6) and (-10, 9) 9. (0, 8) and (9, 4)/ 4 / 3 X2 ya x2,41 x240 Pink: (-11, 14) and (9, -4) 10. (-4,40) and (8, -2) - 1 Brown: (-7, -7) and (-9, 1) CO CO
The matching answers and corresponding colors for the holiday lights are: (Slope: 3) Dark Blue, (Slope: -4) Violet, (Slope: 1/4) Red.
To find the slope of a line passing through two points \((x_1, y_1)\ and\ (x_2, y_2)\), we can use the formula:
Slope = \((y_2 - y_1) / (x_2 - x_1)\)
Let's calculate the slopes for each pair of points:
1. (8, 3) and (10, 9):
Slope = (9 - 3) / (10 - 8) = 6 / 2 = 3
2. (2, -3) and (1, 1):
Slope = (1 - (-3)) / (1 - 2) = 4 / (-1) = -4
3. (-4, -8) and (-8, -9):
Slope = (-9 - (-8)) / (-8 - (-4)) = (-9 + 8) / (-8 + 4) = -1 / (-4) = 1/4
Now let's compare the slopes to identify the matching answers:
1. Slope: 3 (Dark Blue)
2. Slope: -4 (Violet)
3. Slope: 1/4 (Red)
Thus, the corresponding colors for the holiday lights would be:
1. Dark Blue
2. Violet
3. Red
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Decrease £248 by 30%
Answer:
173.6
Step-by-step explanation:
0.7(248)
173.6
Answer:
£ 173.6
Step-by-step explanation:
£248 *0.30= 74.4
£248 -74.4 =173.6
The cylindrical canister of a fire extinguisher
has a diameter of 4 inches and is 12 inches
high. About how many square inches of
metal (total surface area) would be needed
to manufacture one fire extinguisher?
Step-by-step explanation:
2*22/7*48=301.714 .This the answer
Answer:
Yeah, what they said above.
Step-by-step explanation:
the two congruent sides of an isosceles triangle form the
In an isosceles triangle, the two https://brainly.com/question/28412104 form the two equal angles opposite those sides.
An isosceles triangle is a type of triangle that has two sides of equal length. The two congruent sides are referred to as the legs of the triangle, while the remaining side is known as the base. The key property of an isosceles triangle is that the angles opposite the congruent sides are also equal. This means that the triangle has two equal angles formed by the congruent sides and a third angle formed by the base.
To understand why the congruent sides form equal angles, consider the following: When two sides of a triangle are equal in length, it implies that the opposite angles they form are also equal. This is known as the Isosceles Triangle Theorem. In an isosceles triangle, the two congruent sides are equal in length, which means the angles opposite those sides must also be equal. Therefore, the two congruent sides of an isosceles triangle form the two equal angles opposite them.
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will give brainliest
if jesus can walk on water and I can walk on watermelons and watermelons is 90 percent water does that make me 90 percent jesus?
Answer:
Well good question, but no.
Step-by-step explanation:
If you accept Jesus as you father and savior, then Jesus, God, and the Holy Spirt will live inside of you.
i- you know what- yes I think that would
Help please. I don’t know what to do next
dr. stuart wants to study whether there is a relationship between the number of hours a high school senior spends on social networking sites and their grade point average. he obviously cannot study every 12th grader, so instead he will select a smaller of seniors to study. a. cross-section b. population c. sample d. confounding group
He will pick a sample of seniors in this instance.
Given statement,
Dr. Stuart wants to study whether there is a relationship between the number of hours a high school senior spends on social networking sites and their grade point average. he obviously cannot study every 12th grader, so instead, he will select a smaller of seniors to study.
→ In this case he will select a sample of seniors.
→ Dr. Stuart is interested in determining whether there is a correlation between a high school senior's grade point average and the number of hours spent on social networking sites. He will instead choose a smaller sample of seniors to study because he certainly cannot study every student in the 12th grade.
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Of the first fifteen kindergartners, four of them select treat bags containing bubbles, and eleven of them select treat bags containing sidewalk chalk.
The next kindergartner in line is ____ to select a treat bag containing bubbles than of sidewalk chalk
Equally likely
Less likely
More likely
solve for x
-2^2(-5x+10)=100
Answer:
\(x=7\)
Step-by-step explanation:
Hi there!
\(-2^2(-5x+10)=100\)
Solve -2^2:
\(-4(-5x+10)=100\)
Divide both sides by -4:
\(\displaystyle \frac{ -4(-5x+10)}{-4}=\frac{100}{-4} \\\\-5x+10=-25\)
Subtract 10 from both sides:
\(-5x+10-10=-25-10\\-5x=-35\)
Divide both sides by -5:
\(\displaystyle \frac{-5x}{-5} = \frac{-35}{-5} \\\\x=7\)
Therefore, x = 7.
I hope this helps!
HELP PLEASE! I need helpppp!! :(
i need help (3/4)x+2=(3/8)x-4
Answer:
x = -16
Step-by-step explantion:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Hope this helps!
(・∀・(・∀・(・∀・*)
. If ∠1 ≅ ∠2, m∠KHG = 70, and m∠1 = 3d + 2, find the value of d.
Answer:
d = 36°
Step-by-step explanation:
If ∠1 ≅ ∠2, thia means both angles are the same.
Given m∠1 = 3d + 2 and m∠KHG = 70
Substitute m∠KHG = 70 = m<1 into the expression to get d
m<1 = 180-m∠KHG
m<1 = 180-70
m<1 = 110
110 = 3d+2
subtarct 2 from both sides
110-2 = 3d+2-2
108 = 3d
rearranging
3d = 108
Divided both sides by 3;
3d/3 = 108/3
d = 36°
If two supplementary angles are 10x* and (2x-30)*, find the angles
Answer:
175 ; 5
Step-by-step explanation:
Supplementary angles sums up to 180
10x + 2x - 30 = 180
12x - 30 = 180
12x = 180 + 30
12x = 210
x = 210/12 = 17.5
10x = 10*17.5= 175
2*17.5 - 30 = 35 - 30 = 5
CAN SOMEONE HELP ME PLEASE:((( i really need help!!
Find the value of the expression. 7• (52 – 12) – 6
Answer:
274
Step-by-step explanation:
Simplify the Expression
7 × (52 - 12) - 6 = 274. I just put it into my calculator
Select the correct answer. Let f(x) and g(x) be polynomials as shown below. Which of the following is true about f(x) and g(x)? f(x) and g(x) are closed under multiplication because when multiplied, the result will be a polynomial. f(x) and g(x) are closed under multiplication because when multiplied, the result will not be a polynomial. f(x) and g(x) are not closed under multiplication because when multiplied, the result will be a polynomial. f(x) and g(x) are not closed under multiplication because when multiplied, the result will not be a polynomial.
f(x) and g(x) are not closed under subtraction because when subtracted, the result will be a polynomial, the correct option is B.
What is Polynomial?A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.
Given f(x) and g(x) two polynomial functions in the standard form of the polynomial,
According to Closure Property, when something is closed, the output will be the same as the input.
The polynomials f(x) and g(x) can be seen in the image.
On subtracting the two polynomials, the output will be a polynomial and so it is closed under subtraction.
Therefore, The reason why f(x) and g(x) are not closed under subtraction is that the outcome of subtraction will be a polynomial, making option B the best choice.
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Complete question:
Use on of the equations:Bag Price ÷ Pounds in Bag = Cost/pound
Cost/pound x Pounds fed = Cost/day
Cost/day x # of Horses = Cost/head/day
Cost/head/day x # of days in month = Cost/head/month
1. You have 5 horses and you feed 4.5 pounds of grain to each in one day. What is the monthly cost per head to feed them if the grain you feed is $27.00 per 50lb bag?
2. You have 32 heads of horses, and each gets 1.5 pounds of grain per feeding. You feed grain twice a day, once in the morning and once in the evening. If you feed grain that costs $13 per 50lb bag, then is the cost per head per month?
3. You have 12 heads of horses, and each gets 2.5 pounds of grain per feeding. You feed grain twice a day, once in the morning and once in the evening. If you feed grain that costs $13 per 50lb bag, then is the cost per head per month?
Solving the questions from the given equations
1)the monthly cost per head to feed them if the grain you feed is $27.00 per 50lb bag is $16.2
2) The cost per head per month is $23.4
3) The cost per head per month is $39
What is Equation?
There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically have one or more variables.
1) The grains use feed for one horse = 4.5pound
The cost of 1 bag of grain = $27 per 50lb
The cost of 1lb grain = $0.54
Now the monthly cost of the grain will be:
Cost/head/day x # of days in month = Cost/head/month
$0.54 x 30 = $16.2
Hence, the monthly cost per head to feed them if the grain you feed is $27.00 per 50lb bag is $16.2
2) The amount of grain use to feed for one head = 1.5pound
If the grain is feed twice a day = 1.5 x 2
= 3.0
The cost of the grain = $13 per 50lb
The cost of 1lb grain = 13 / 50
= $0.26
The cost of grain feed in one day = 0.26 x 3
= $0.78
The cost of per head per month =
0.78 x 30 = $23.4
Hence, The cost per head per month is $23.4
3)The amount of grain use to feed for one head = 2.5pound
If the grain is feed twice a day = 2.5 x 2
= 5pounds
The cost of the grain = $13 per 50lb
The cost of 1lb grain = 13 / 50
= $0.26
The cost of grain feed in one day = 0.26 x 5
= $1.3
The cost of per head per month =
1.3 x 30 = $39
Hence, The cost per head per month is $39
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plz help me out with this
Answer:
B and a great deal on a spring break and a good time to get answer for the spread of Islam in the Horn of the following elements has your examination and your
a computer simulation tossed a 10 faced die 5 times. How many possible outcomes
Answer:
50
Step-by-step explanation:
10x5=50
Answer:
See image
Step-by-step explanation:
Plato
Which aspects of a four-hour shopping trip can be expected to vary inversely? A) the total distance walked and the number of steps taken B) the total number of stores visited and the average time spent in each store C) the total amount spent on shirts and the average cost per shirt D) the time it takes to walk from one store to another and the distance between the two stores E) the average wait time to make a purchase and the number of cashiers working in a store F) the number of customers paying by cash and the total number of customers SELECT ALL THAT APPLY
Answer:
The correct option is;
E) The average wait time to make payment and the number of cashiers working in a store
Step-by-step explanation:
An inversely proportional relationship is a relationship between two variables one where the increase in the magnitude one variable leads to the reduction in the magnitude of a second variable written mathematically as follows;
y ∝ 1/x
Therefore, given that as the number of cashiers at a store increases, the number of customers attended to per unit time by all the cashiers together increases, and the number of wait time observed by a customer to pay for the goods bought decreases.
Answer:
B.) The total number of stores visited and the average time spent in each store
E.) The average wait time to make a purchase and the number of cashiers working in a store
Step-by-step explanation:
It is correct I just took the test :)
Ramiro is also a college student. He has a credit card balance of $500.00. The APR on his card is 18.24%. His minimum payment is $10.00. (do not use commas or dollar signs in the answers) If Ramiro stops using his credit card, how long will it take him (in months) to pay off the $500.00 if he makes only the minimum payment?
Answer: It will take approximately 30 months to pay off the $500.00.
Step-by-step explanation:
Since we have given that
Principal = $10.00
Amount = $500.00
Rate of interest = 18.24%
So, we will apply "Compound interest" to find the number of months:
\(A=P(1+\dfrac{r}{100})^n\\\\500=10(1+\dfrac{18.24}{100})^n\\\\500=11.824^n\\\\\n\approx 2.5\)
So, the number of months would be
\(2.5\times 12=30\ months\)
Hence, it will take approximately 30 months to pay off the $500.00.
I've got 5 questions and I'm very stuck so I yall can pls HELP and answer them for me pls, thank you
Answer:
1. 11cm
2. 31.2cm
3. 20m
4. 11cm
5. 314feet
Step-by-step explanation:
1. 5.5 × 2 = 11cm
2. 15.6 × 2 = 31.2cm
3. 40m ÷ 2 = 20m
4. From the centre of a circle to the edge is the radius of a circle.
5. Circumference = πD
D = 2r = 2 × 50 = 100
π × 100 = 314feet
Two interior decorating teams are competing in a kitchen remodel competition. Their remodels are graded on the following categories, each worth 18 points; time to complete, design, and total cost. Time to complete is worth 75% of their final score, design is 15%, and total cost is 10%. Whoever has the largest final score wins $150,000. Suppose Team A received 15 points for time to complete, 9 points for design, and 14 points for total cost. Suppose Team B received 17 points for time to complete, 7 points for design, and 13 points for total cost. Using technology, determine which team won the competition. Team A won by 1.9 points. Team A won by 1.1 points. Team B won by 1.9 points. Team B won by 1.1 points.
Answer:
listen there is a lack of information the information you give isn't enough
The correct answer is Team B won by 1.1 points.
To determine which team won the competition, we need to calculate the final scores for both Team A and Team B based on the given weights for each category and the points they received in each category.
For Team A:
- Time to complete (75% of 15 points) = 0.75 * 15 = 11.25 points
- Design (15% of 9 points) = 0.15 * 9 = 1.35 points
- Total cost (10% of 14 points) = 0.10 * 14 = 1.4 points
Total score for Team A = 11.25 + 1.35 + 1.4 = 14 points
For Team B:
- Time to complete (75% of 17 points) = 0.75 * 17 = 12.75 points
- Design (15% of 7 points) = 0.15 * 7 = 1.05 points
- Total cost (10% of 13 points) = 0.10 * 13 = 1.3 points
Total score for Team B = 12.75 + 1.05 + 1.3 = 15.1 points
Now, we compare the total scores of both teams. Team A has a total score of 14 points, while Team B has a total score of 15.1 points. Therefore, Team B won by 1.1 points.
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a student downloaded 6 music files to a portable music player. in how many different orders can the songs be played?
The number of different orders in which the songs can be played is given as follows:
720 different orders.
What is the arrangements formula?The formula for the arrangements of n elements is obtained considering the factorial of the number n, as follows:
A(n) = n!.
In this problem, we are going to order 6 music files, which is also an arrangement of six elements, hence the number of different orders in which the songs can be played is obtained as follows:
A(6) = 6! = 720 different orders.
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annie is playing basketball. after attempting a certain number of free throws, she computes that she has made $\dfrac{3}{5}$ of her free throws. then, annie attempts but fails to make $15$ consecutive free throws, after which she computes that she has made only $\dfrac{2}{5}$ of all of the free throws she attempted that day. how many total free throws has annie attempted, including the $15$ she just attempted?
The total number of throws will be equal to 16.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The total number of throws will be calculated by adding all the throws,
Total throws = ( 3 / 5 ) + 15 + ( 2 / 5)
Total throws = ( 3 + 75 + 2) / 5
Total throws = 80 / 5
Total throws = 16
Therefore, the total number of throws will be equal to 16.
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i thought of a number. 4 times my number increased by 30 equals 70 decreased by the number. what is my number
The 4 is the number the student thought about.
To solve this problem, we will use algebraic expressions. First, let us define the unknown number, x. The problem states that "4 times my number increased by 30 equals 70 decreased by the number." This can be translated into the following equation:
4x + 30 = 70 - x
To solve for x, we need to isolate it on one side of the equation. Let's start by moving all the terms with x to the left side and all the constant terms to the right side.
4x + x = 70 - 30x + 4x + x = 40
Simplifying, we get:
10x = 40
Dividing both sides by 10:
x = 4
Therefore, the number that the student thought of is 4.
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MAD (Mean absolute deviation) is always a negative number
True or False
Suppose f'(6)=3 and g' (6)= 8. Find h'(6) where h(x) = 3f(x) + 2g(x) +3.
To find h'(6), the derivative of h(x) at x = 6, where h(x) = 3f(x) + 2g(x) + 3, we can apply the rules of differentiation and use the given values of f'(6) and g'(6).
Since h(x) is defined as the sum of three functions, we can find its derivative by taking the derivative of each term separately and then summing them. Applying the constant multiple rule and the sum rule of differentiation, we have h'(x) = 3f'(x) + 2g'(x) + 0.
Given that f'(6) = 3 and g'(6) = 8, we can substitute these values into the derivative expression to find h'(6). Therefore, h'(6) = 3f'(6) + 2g'(6) + 0 = 3(3) + 2(8) + 0 = 9 + 16 + 0 = 25.
Therefore, h'(6) = 25, which means that the derivative of h(x) at x = 6 is 25.
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