shane measured a farm and made a scale drawing. in real life, the goat pen is 6 meters wide. it is 4 centimeters wide in the drawing. what scale did shane use?
If the goat pen is 6 meters wide and it is 4 centimeter wide in the drawing, then Shane used 150:1 scale for drawing
Scaling is a linear transformation that enlarges or diminishes objects.
Given,
In drawing,
6 meter = 4 centimeter
600 centimeter= 4 centimeter
Divide both side by 4
150 centimeter = 1 centimeter
Hence, if the goat pen is 6 meters wide and it is 4 centimeter wide in the drawing, then Shane used 150:1 scale for drawing
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7. The points (3,5) and (2, y) are on a line with a slope of 3. Find y.
Answer:
We get value of y: y = 2
Step-by-step explanation:
The points (3,5) and (2, y) are on a line with a slope of 3. Find y.
We can find y using formula of finding slope of a line.
The formula is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have [tex]x_1=3, y_1=5, x_2=2, y_2=y[/tex] and Slope = 3
Putting values and finding y
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\3=\frac{y-5}{2-3}\\3=\frac{y-5}{-1}\\-1(3)=y-5\\-3=y-5\\y=-3+5\\y=2[/tex]
So, we get value of y: y = 2
On a map, 4 inches equals 160 miles. The distance that a family travels is 6.5 inches on the map. Represent the scale as two different ratios. What is the actual distance the family travels?
Answer:
260 miles.
Step-by-step explanation:
First, find the unit rate (the rate which the numerator is one but the fracvtion is equivilant), in this case the unit rate would be 1/40, or 1:40. Replace the 1 in the ratio ti=o get 6.5:x. Find x. We know that the unit rate is 1:40, so multiply 6.5 by 40 to get 260. Hope this helps!
How long is a distance of 8km if measured on a map with a scale of 1;50,000
0.00016 is the distance of 8km if measured on a map with a scale of 1;50,000
Since the problem is in proportion, we can write it as an equation
like this,
1/50,000 = x/8
From here on we will cross-multiply
1/50,000 = x/8
50,000x = 8
x = 8/50,000
x = 0.00016
What is cross multiplication?
The cross multiplication method is used to solve linear equations with two variables. The method of cross-multiplication is the simplest and most straightforward way of solving linear equations in two variables. When we have a pair of variables in a linear equation, we apply this strategy.
The procedure of multiplying two fractions, p/q and r/t, by each other is known as cross multiplying or cross-multiplication. For example, p/q and r/t are two fractions that can be cross multiplied by multiplying p t and q r
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Which of the following is equal to the absolute value of 7?
the distance between 1 and 7 on a number line
the distance between –3 and –4 on a number line
the distance between 7 and zero on a number line
the distance between –7 and 7 on a number line
Answer:
the distance between 7 and zero
Step-by-step explanation:
the absolute value of a number is just the number, so 7=7 and it would also work if it was he distance between -7 and 0
candy and tim share a paper route. it takes candy 70 min to deliver all the papers, and it takes tim 80 min. how long does it take the two when they work together?
It will take 37.3 minutes if they will work together.
What is the time?Time is the seemingly irreversible succession of existence and events that occur from the past, through the present, and into the future. It is a component quantity of various measurements used to sequence events, compare the duration or intervals between events, and quantify rates of change of quantities in material reality or conscious experience.To find how long it takes the two when they work together:
Let x represent the amount of time it takes them to complete the paper route together.This means that in one minute, they can complete 1/x of the paper route.Candy can complete 1/70th of the route in 1 minute and Tim can complete 1/80th of the route in 1 minute.The part Candy can do in one minute + the part-time can do in one-minute equals the part they can do together in one minute:1/70 + 1/80 = 1/xBecause the LCD has a resolution of 560x, multiply both sides of the equation by 560x:
(560x) · (1/70) + (560x) · (1/80) = (560x) · (1/x)8x + 7x = 56015x = 560x = 560/15 = 37.3 minutes.Therefore, it will take 37.3 minutes if they will work together.
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use an appropriate series in (2) in section 6.1 to find the maclaurin series of the given function. write your answer in summation notation. ln(1 − x)
The Maclaurin series of ln(1 − x) is f(x) = ∑xⁿ⁺¹/(n+1) + c
What is the Maclaurin series?A Maclaurin series is a Taylor series expansion of a function about 0,
f(x) = f(0) + xf'(0) + x²f''(0)/2! + x³f⁽³⁾(0)/3! +.... xⁿf⁽ⁿ⁾(0)/n! ...
We have been the given function
⇒ f(x) = ln(1 − x)
First, let us find the derivative of f(x) for the Maclaurin series,
f'(x) = 1/(1 − x) = 1/(1 − x)
⇒ 1/(1 − x) = 1 + x + x² + x³⋯ = ∑xⁿ if -1< x <1
f'(x) = ∑xⁿ if -1< x <1
By integrating using Power Rule,
⇒ f(x) = ∫∑xⁿ if -1< x <1 = ∑xⁿ⁺¹/(n+1) + c
Since f(0) = ln(1 − 0) = 0
So ln(1 − x) = ∑xⁿ⁺¹/(n+1) + c
Hence, the Maclaurin series of ln(1 − x) is f(x) = ∑xⁿ⁺¹/(n+1) + c
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1. Rick deposits $3 into his bank account. The following week, he deposits 3 times that amount. Each week after that, he deposits 3 times the amount he did the previous week.
How much does he deposit in all during the first 3 weeks?
2. How much does Rick deposit in all in the first 3 weeks? Show your work.
Answer:
2 WEEKS 9 DOLLARS
Step-by-step explanation:
EVERY TIME MULTIPLY BY 3 WITH EACH ANSWER
3X1=3
3X3=9
3X9=27
The amount of the money deposited by Rick in 2 weeks is 9 dollars.
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.
Given that Rick deposits $3 into his bank account. The following week, he deposits 3 times that amount. Each week after that, he deposits 3 times the amount he did the previous week.
The amount of money deposited every week is solved as below,
3 X 1 = 3
3 X 3 = 9
3 X 9 = 27
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PLEASE HELP QUICK!!!!! WILL GIVE BRAINIEST!!!!!!!
Answer:
c
Step-by-step explanation:
Solve 2(x+3) = x - 4
Shelby works for 35 hours per week.
Her weekly wage is £302.75
she receives a pay increase of 45p per hour.
work out her new weekly wage.
Shelby's new weekly wage would be £318.50 if she receives a pay increase of 45p per hour.
What is Shelby's hourly rate based on the weekly wage of £302.75?
Shelby's hourly rate can be determined as her weekly wage divided by the number of hours spent working per week, in essence, the hourly rate is based on the weekly wage and the number of hours since the total weekly wage can as well be determined as the hourly rate multiplied by the number of hours working per week
hourly rate=weekly wage/hours spent working per week
weekly wage=£302.75
hours spent working per week=35
hourly rate=£302.75/35
hourly rate=£8.65
her new hourly rate=£8.65+£0.45
her new hourly rate=£9.10
new weekly wage=35*£9.10
new weekly wage=£318.50
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in a linear regression model, the variable (or variables) used for predicting or explaining values of the response variable are known as the . it(they) is(are) denoted by x. a. dependent variable b. residual variable c. regression variable d. independent variable
In a linear regression model, the variable (or variables) used for predicting or explaining values of the response variable are known as the independent variable. It(they) is(are) denoted by x.
The correct answer is an option (d)
For given question,
The variable that researchers are trying to explain or predict is called the
response variable. It is also sometimes called the dependent variable
because it depends on another variable.
The variable which is used to predict the response variable is known as the explanatory variable. It is also called as an independent variable because it does not depend on another variable.
In regression, the order of the variables is very important.
The explanatory variable (or the independent variable) always belongs on the x-axis. The response variable (or the dependent variable) always belongs on the y-axis.
Therefore, in a linear regression model, the variable (or variables) used for predicting or explaining values of the response variable are known as the independent variable. It(they) is(are) denoted by x.
The correct answer is an option (d)
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Paulie caught two fish. One weighed 1.43 pounds and the other weighed 5.7 pounds. Janice caught on 7.09 pound fish. Who caught more pounds of fish?
Answer:
Paulie
Step-by-step explanation:
1.43 +
5.70
___
7.13 > 7.09
:D
Jada is making trail mix. For every 3 c of peanuts, she adds 2 c of raisins. Graph this
relationship. Is there a proportional relationship between the cups of peanuts and
the cups of raisins? Explain your reasoning,
Answer:
(3,2)
(6,4)
(7.5,5)
(9,6)
Step-by-step explanation:
Given:
Volume of peanuts = 3 c
Volume of raisins = 2 c
Find:
Proportional relationship
Computation:
Volume of peanuts : Volume of raisins
3 : 2
So,
Graph
peanuts , raisins
(3,2)
(6,4)
(7.5,5)
(9,6)
solve the equation 9x= 108 x=
Answer:
x = 12
Step-by-step explanation:
9x = 108
x = 108 ÷ 9
x = 12
Answer:
x = 12
Step-by-step explanation:
9x = 108
x = 108 / 9
x = 12
To surprise her cousin, Eliana puts confetti in his birthday card before mailing it. At the post office, she learns that her card is 5 grams too heavy for a common stamp. So, she takes out some of the confetti. If each piece of confetti weighs about 50 milligrams, how many pieces does Eliana need to take out?
The number of pieces that Eliana need to take out is; 100 pieces
How to carry out Unit Conversions?
From conversion units, we know that 1 gram (g) is equal to 1000 milligrams (mg). Thus; 1 g = 1000 mg
Now, we are told that at the post office, she learns that her card is 5 grams too heavy for a common stamp. So, she takes out some of the confetti.
However, each piece weighs 50 milligrams. Converting to grams gives us; 50/1000 = 0.05 grams
Thus, number of pieces to take out = 5/0.05 = 100 pieces
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Find all the zeros using factor by grouping: x3 + 2x2 + 5x + 10 = 0
Answer: 3
+
2
x
2
+
5
x
+
10
=
0
x
3
+
2
x
2
+
5
x
+
10
=
0
by solving for
x
x
.
x
=
−
2
,
i
√
5
,
−
i
√
5
Step-by-step explanation:hope this helps sorry it’s weird!
People of Sundargram planted a total of 102 trees in the village garden. Some of the trees were fruit trees. The number of non-fruit trees were two more than three times the number of fruit trees.
i)What was the number of fruit trees planted?
ii)By planting trees Which quality do the people of Sundargram shows?
Answer:
i) 36
ii) love towards nature and the environment
Step-by-step explanation:
i) 102 ÷ 3 = 34
34 + 2 = 36
solve for x - 4 = 1/4(8x - 16)
Hello!
[tex]\large\boxed{x = 0}[/tex]
x - 4 = 1/4(8x - 16)
Distribute the 1/4:
x - 4 = 1/4(8x) + 1/4(-16)
x - 4 = 2x - 4
Subtract x from both sides:
x - x - 4 = 2x - x - 4
-4 = x - 4
Add 4 to both sides:
-4 + 4 = x - 4 + 4
0 = x
⠀⠀⠀⠀
The value of x is 0
⠀⠀⠀
______________________
⠀⠀⠀⠀
➤ How to solve ?⠀⠀⠀⠀
That's quite easy but you need to recall the BODMAS rule .
⠀⠀⠀⠀
BODMAS rule states the correct sequence to solve an equation . First we need to solve the bracket part then solve if any of is present moving further to division then multiplication carrying with addition atlast subtraction
⠀⠀⠀⠀
In this equation we will solve the bracket then we will apply further BODMAS rule
⠀⠀⠀⠀
━━━━━━━━━━━━━━━━━
SolutiOn :➠ x - 4 = 1 / 4 ( 8x - 16 )
➠ 4 ( x - 4 ) = 8x - 16
⠀⠀⠀⠀
➠ 4 ( x - 4 ) = 4 ( 2x - 4 )
⠀⠀⠀⠀
➠ x - 4 = 2x - 4
Now, we will bring the variable on left hand side and constants on right hand side
➠ x - 2x = - 4 + 4
➠ -x = 0
➠ x = -0
➠ x = 0
∴ The value of x is 0 .
━━━━━━━━━━━━━━━━━
The cost y (in dollars) of renting a segway for x hours is y=24x+6. Find the initial fee and the cost per hour.
Answer:
(x - 6) ÷ 24
Step-by-step explanation:
Simplify and get the answer
HELP ASP!!!!!!!!!!!!!!!!
Answer:
Question 1 is C
Step-by-step explanation:
Answer:
a: top right 1 top left 2 bottom left 3 bottom right 4
c: axis going horizontal is the x axis and the axis going vertical is the y axis
d: origin is the very middle and it is (0,0)
Step-by-step explanation:
find the domain of the graphed function.
Answer:
This should be A. -4 < x < 9.
Step-by-step explanation:
Domains are the x-values. So, you would have to look at the x axis to know your x values. I'm not a 100% sure if this is that correct answer, but here's the answer to what I know.
Answer:
A. -4 ≤ x ≤ 9
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x)Step-by-step explanation:
According to the line on the graph, our x-values span from -4 to 9. Since both are closed dot, they are both inclusive in the domain:
[-4, 9] or -4 ≤ x ≤ 9
Simplify: -3(6+8q)+2(-3q+7)
For f(x)=3x-9, find f(15)
I need help for some math questions pleasee!
Answer:
multiply row × column
and in the first multiplication you should put an addition in between e.g 4×3+6×0....
What is the product of -5 and 8?
-40
-13
13
40
Answer:
-40
Step-by-step explanation:
Negative × positive = negative-5 × 8 = -40I hope this helps!
Jenny spends $1.15 a day for lunch. Her cafeteria lunch account has a balance of $36.80. Write an equation that can be used to determine the maximum number of days, d, that she can eat without adding money to her lunch account.
Answer:
Balance Divided By Lunch Cost
Step-by-step explanation:
Divide $36.80 by $1.15 to receive the answer 32. She can eat for 32 days.
1) Belle works at a donut shop. They sell o box of donut holes for $1.80. There are 20 donut holes in the box. How much does it cost per donut hole? O $0.09 per donut hole O $11 per donut hole O $0.11 per donut hole
Answer:
.09 cents
Step-by-step explanation:
1.80 divided by 20
solve the right angle trig problem. round to the nearest tenth.
Answer:
x ≈ 77.8°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tan∅ = opposite over adjacentStep-by-step explanation:
Step 1: Define
We are given a right triangle. We can use trig to find the missing angle.
Step 2: Identify Variables
From POV of x
Angle = x
Adjacent = 8
Opposite = 37
Step 3: Solve for x
Substitute: tanx° = 37/8Inverse: x° = tan⁻¹(37/8)Evaluate: x = 77.7995°Round: x ≈ 77.8°Using the given table of an exponential function, determine the growth/decay factor as well as the rate of increase/decrease. Type your answers in as numbers. Example: Growth Factor: 3.5, Rate of Increase: 2.5. (Do not input your rate of increase as a percent.)
Answer:
Growth factor is 1.2
Growth rate is 0.2
Step-by-step explanation:
Generally, we can have an exponential function as:
y = a(1 + r)^x
Where a is the initial value (y value when x = 0, which is 10)
r is the growth rate
at x = 2
14.4 = 10(1 + r)^2 •••••(i)
at x = 1
12 = 10(1 + r)^1 •••••(ii)
Divide i by ii
14.4/12 = 1 + r
1.2 = 1 + r
r = 1.2-1
r = 0.2
1 + r = 0.2 + 1 = 1.2