Answer:
8
Step-by-step explanation:
The given ratios can be combined to a composite ratio using least common multiples.
Given ratiosWe can identify each of the entities with a 2-letter designation:
TT - Tumtum tree; TW - tulgey wood; BS - frumious Bandersnatch;
ST - slithy tove; BG - borogoves; MR - mome raths; JW - Jabberwocky;
JB - Jubjub birds.
Then the given ratios are ...
20 TT : 1 TW1 TW : 1 BS5 ST : 2 BG2 MR : 1 JW2 JB : 200 TT . . . . (reduces to 1 : 100)200 MR : 1 BG5 JB : 1 STComposite ratiosThe path from BS to JW is unique, so we can work our way there one ratio at a time. Having done this once, we can go back and do it again with the least possible multiplier.
Here, that turns out to be 125 Bandersnatches. We can combine these to the composite ratio ...
125 BS : 125 TW : 2500 TT : 25 JB : 5 ST : 2 BG : 400 MR : 200 JW
Then the ratio of Bandersnatches to Jabberwocks is 125 : 200 = 5 : 8.
If there are 5 frumious Bandersnatches, there should be 8 Jabberwocks.
__
Additional comment
We know 1 JW : 2 MR and 200 MR : 1 BG. In order to get a common value of 200 MR in these ratios, we need to multiply the first by 100:
100 JW : 200 MR : 1 BG
Next, we notice the other ratio involving BG is 2 BG : 5 ST, which means we need to multiply by 2 again:
200 JW : 400 MR : 2 BG : 5 ST
The number of JB is 5 times the number of ST, so this extends to ...
... 5 ST : 25 JB
The number of TT is 100 times the number of JB, so we have ...
... 5 ST : 25 JB : 2500 TT
Continuing in like fashion, we get the composite ratio shown above. We originally worked this starting from BS. Reducing the JB/TT ratio from 2/200 to 1/100 helped eliminate an extra factor of 2.
Step-by-step explanation:
it's not really a math problem per se, it is more like a regular riddle with numbers.
true, everything involving numbers is essentially math, but then what will you do in life with things like earning a salary, going shopping, checking a calendar and schedules for bus, train and flights or business meetings, sharing a pizza with friends, playing computer games, ...
life is for a big part numbers and therefore math.
so, don't be afraid, just use your brain and common sense !
let's think this through (just be strict, concentrated, and follow each line literally) :
5 fr. Band. means 5 tulgey woods.
which means 20×5 = 100 tumtum trees.
as there are 2 jubjub birds in 200 tumtum trees, that means that there is 1 jubjub bird in the given 100 tumtum trees.
as there are 5 jubjub birds in 1 slithy toves, but we have only 1 bird, that means we have only 1/5 slithy toves.
there are 5 slithy toves in 2 borogoves. that means 1 slithy toves in 2/5 borogoves. and 1/5 slithy toves in 2/5 / 5 = 2/25 borogoves.
there are 200 mome raths in each borogove. and we have 2/25 borogoves. that means we have
200 × 2/25 = 400/25 = 16 mome raths.
and there are 2 mome raths per jabberwocky. we have 16 raths. how many pairs of raths does that make ?
16/2 = 8 pairs of raths = jabberwocks.
so, there should be 8 jabberwocks.
you see ? that's all that was needed. this was like a labyrinth riddle, where you need to find the way from an inside starting point to the exit without crossing a line (or wall).
Three hens lay 3 eggs any 3 days. in how many days will 3n hens lay at this rate 9nk eggs
Answer: is 48 eggs .
Step-by-step explanation:
3 hens gives 3 eggs in 3 days
Therefore , 1 gives 1 egg in 3 days
So
3days = 1egg
After that 12 days\/3 times = 4 eggs (in 12 times )
So 1 hen offers 4 eggs in 12 days after that
12 hens x 4 eggs = 48 eggs (in 12 days by 12 hens)
Find the radius of a circle with
circumference of 23.55 feet.
Use 3.14 for í.
Hint: C = 2πr
radius = [?] feet please explain your answer so I can understand how to do the rest
Answer:
r = 3.75
Step-by-step explanation:
C = 2(pi)r (write equation)
r = c / 2pi (rearrange for r)
r = 23.55 / 2(3.14) (plug in variables)
r = 23.55 / 6.28 (simplify)
r = 3.75 (solve)
Evaluate 3(x-4) + 2x - x² for x = 3.
A. -6
B. 6
C. 2
D. -2
Answer:
A) -6
Step-by-step explanation:
its just by substituting 3 in place of x
3(3-4)+2(3)-(3)²
3(-1)+6-9
-3+(-3)= -6
pls gimme brailiest if it helped :)
Answer:
A. -6
Step-by-step explanation:
3(x-4) + 2x - x²
Evaluate
Let x =3
Substitute into the expression
3( 3-4) +2(3) - 3^2
Parentheses first
3( -1) +2(3) - 3^2
Exponents next
3( -1) +2(3) - 9
Multiply
-3 +6 -9
Add and subtract
-6
What is the equation of the vertical asymptote of g(x)=4log2(x−2) 5 ? enter your answer in the box.
The equation of the vertical asymptote of the function [tex]g(x)=4log_{2} (x-2)+5[/tex] is x=2.
What is vertical asymptote of a function?Vertical asymptotes are vertical lines that represent the zeros of a rational function's denominator. Asymptotes can also occur in other situations, such as logarithms. It occurs at the x-value that is outside the domain of the function, therefore the graph can never cross it.
How to find vertical asymptotes from graph?There may be a vertical asymptote along the vertical line if a portion of the graph is about to turn vertical. At the point of x along which you discovered the vertical asymptote, the function's value changes to either ∞ or -∞. A vertical asymptote, however, must never touch the graph.
Graph the function [tex]g(x)=4log_{2} (x-2)+5[/tex]
(x,y)= (3,5), (4,9), (6,13)
From graph we can see that the graph is turning to be vertical from x=2. So, the equation of vertical asymptote of the function is x=2.
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The complete question is:
“What is the equation of the vertical asymptote of [tex]g(x)=4log_{2} (x-2)+5[/tex]? enter your answer in the box.”
A parent made x cupcakes for each of the 109 students in the fourth grade. Which expression could be used to determine the total number of cupcakes made?
109x is the expression that could be used to determine the total number of cupcakes made given that a parent made x cupcakes for each of the 109 students in the fourth grade. This can be obtained by forming the algebraic expression for the given conditions.
Find the required expression:Algebraic expression is made up of numbers, operations and variables.Algebraic expression is true for all values of x. For example, 2x, 5x + 9 etc.
Given that,
A parent made x cupcakes for each of the 109 students in the fourth grade.
The total number of students in the class = 109
The number of cupcakes one student gets = 1 × x = x
⇒ The number of cupcakes 109 student gets = 109 × x = 109x
Hence 109x is the expression that could be used to determine the total number of cupcakes made given that a parent made x cupcakes for each of the 109 students in the fourth grade.
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Find a b, 6a 9b, |a|, and |a − b|. (simplify your vectors completely. ) a = −9, 12 , b = 6, 4
The values of a + b, 6a + 9b, |a|, and |a − b| are −3i + 16j, 0i + 108j, 15 and 17 respectively. This can be obtained by using vector addition, vector subtraction and formula to find magnitude of a vector.
Find the values of a + b, 6a + 9b, |a|, and |a − b|:Given that,
a = <−9, 12> , b = <6, 4>
These vectors can be rewritten as,
a = <−9, 12> = −9i + 12j
b = <6, 4> = 6i + 4j
To find a + b,we add both vectors a and b together,a + b = −9i + 12j + 6i + 4j
a + b = −9i + 6i + 12j + 4j
a + b = (−9 + 6)i + (12 + 4)j
a + b = −3i + 16j
To find 6a + 9b, we first find 6a and 9b then add them both together,
6a = 6 (−9i + 12j )
6a = −54i + 72j
9b = 9(6i + 4j)
9b = 54i + 36j
Now add 6a and 9b together,
6a + 9b = −54i + 72j + 54i + 36j
6a + 9b = −54i + 54i + 72j + 36j
6a + 9b = 0i + 108j
To find |a|, use the formula to find the magnitude of a vector,If a = a₁i + a₂j, |a| = √a₁² + a₂²
Here, a = −9i + 12j
|a| = √(−9)² + (12)²
|a| = √81 + 144 = √225
|a| = 15
To find |a − b|, first subtract b from a and find the magnitude of the resultant,a - b = −9i + 12j - (6i + 4j)
a - b = −9i - 6i + 12j - 4j
a - b = −15i + 8j
Now use the formula to find the magnitude of a vector,
|a − b| = √(-15)² + (8)²
|a − b| = √225 + 64 = √289
|a − b| = 17
Hence the values of a + b, 6a + 9b, |a|, and |a − b| are −3i + 16j, 0i + 108j, 15 and 17 respectively.
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A. 2
B. 1/3
C. 5
D. -3
Answer: 2
Step-by-step explanation:
[tex]y=\frac{1}{3}x^2 +2x+5 \longrightarrow \frac{dy}{dx}=\frac{2}{3}x+2[/tex]
Setting this equal to 0 yields [tex]x=-3[/tex].
When [tex]x=-3[/tex], [tex]y=2[/tex]
Answer:
A. 2Step-by-step explanation:
Given quadratic equation:
y = (1/3)x² + 2x + 5Its leading coefficient is positive, so it has minimum value at vertex.
The x-coordinate of the vertex is:
x = -b/(2a)Substitute the coefficients:
x = - 2/(2*1/3) = - 3Find the value of y at vertex:
y = (1/3)(-3)² + 2(- 3) + 5 = 3 - 6 + 5 = 2The matching answer choice is A.
escribe la ecuacion de la circunferencia que tiene como diametro AB donde A(3,-4) y B(-2,-4
La ecuación estándar de la circunferencia es (x - 0.5)² + y² = 2.5².
¿Cómo derivar la ecuación estándar de la circunferencia?
En este problema debemos derivar la ecuación estándar de la circunferencia, cuyo diámetro está comprendido por el segmento de recta entre los puntos A(x, y) = (3, - 4) y B(x, y) = (- 2, - 4). La ecuación estándar de la circunferencia se presenta a continuación:
(x - h)² + (y - k)² = r² (1)
Donde:
(h, k) - Coordenadas del centro.r - Radio de la circunferencia.El centro de la circunferencia es el punto medio del segmento de recta AB:
(h, k) = 0.5 · (3, - 4) + 0.5 · (- 2, 4)
(h, k) = (1.5, - 2) + (- 1, 2)
(h, k) = (0.5, 0)
Y el radio de la circunferencia es la mitad de la longitud del segmento de recta AB:
[tex]r = \frac{1}{2}\cdot \sqrt{(-2 - 3)^{2}+[-4 - (-4)]^{2}}[/tex]
r = 2.5
Por tanto, la ecuación estándar de la circunferencia es (x - 0.5)² + y² = 2.5².
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Here are yesterday's high temperatures (in Fahrenheit) in 12 U.S. cities. 48, 50, 54, 56, 63, 63, 64, 68, 74, 74, 79, 80 Notice that the temperatures are ordered from least to greatest. Give the five-number summary and the interquartile range for the data set. Five-number summary
Minimum:
Lower quartile:
Median:
Upper quartile:
Maximum:
Interquartile range:
The five number summary and interquartile range for the data-set is given by:
Minimum: 48Lower quartile: 54.Median: 63.5.Upper quartile: 74Maximum: 80.Interquartile range: 20What are the median and the quartiles of a data-set?The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.The first quartile is the median of the first half of the data-set.The third quartile is the median of the second half of the data-set.In this problem, we have that:
The minimum value is the smallest value, of 48.The maximum value is the smallest value, of 80.The data-set has even cardinality, hence the median is the mean of the middle elements, which are 63 and 64, hence the median is of 63.5.The first quartile is the median of the five elements of the first half, hence it is of 54.The third quartile is the median of the five elements of the second half, hence it is of 74.The IQR is the difference between the quartiles, hence 74 - 54 = 20.More can be learned about five number summaries at brainly.com/question/17110151
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1
14. The price of a sofa is Sx. A man buys the sofa on hire purchase according to the following terms:
a downpayment of 25 % and the remaining to be paid in monthly instalments over 30 months at a
simple interest rate of 12 % per annum. Given that his monthly instalment is $52, find the value of x.
Question The price of a sofa is Sx. A man buys the sofa on hire purchase according to the following terms:
a downpayment of 25 % and the remaining to be paid in monthly instalments over 30 months at a
simple interest rate of 12 % per annum. Given that his monthly instalment is $52, find the value of x.
The booster club sold 36,276 tickets on Friday, 34,012 tickets on Saturday, and 29,879 tickets on Sunday. If you were going to find out how many fewer tickets were sold on Sunday than Saturday, which operation would you perform?
Answer:subtraction
Step-by-step explanation: to find out how many fewer tickets were sold on Sunday you would need to subtract 34012 by 29879. The solution would be how many fewer tickets were sold on Sunday compared to Saturday.
At a concert for the band Algal Rhythms, 75% of the tickets were sold at the full price of $30. The remaining 25% of tickets were sold at a discounted price of $10. What was the average selling price of a ticket at the Algal Rhythms concert? Express your answer in dollars, rounded to the nearest cent.
The average selling price of a ticket at the Algal Rhythms concert is $25
How to determine the average selling price of a ticket at the Algal Rhythms concert?The given parameters are:
75% of the tickets were sold for $30.
The remaining 25% were sold for $10.
The average selling price of a ticket at the Algal Rhythms concert is calculated using
Average = Sum of (Price * Percentage)
So, we have
Average = 30 * 75% + 10 * 25%
Evaluate the expression
Average = 25
Hence, the average selling price of a ticket at the Algal Rhythms concert is $25
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what is the modal letter in 'constitution'
A tire on sal's car makes 13 revolutions per second while traveling down the freeway. sal's tires are 2 ft in diameter, and there are 5,280 feet in 1 mile. how far does sal drive in 1 hour? round the answer to the nearest mile. a. 28 miles b. 56 miles c. 60 miles d. 111 miles
Compute the speed of the car:
[tex]\dfrac{2\pi\,\rm ft}{1\,\rm rev} \cdot \dfrac{13\,\rm rev}{1\,\rm s} \cdot \dfrac{1\,\rm mi}{5280\,\rm ft} \cdot \dfrac{3600\,\rm s}{1\,\rm h} = \dfrac{195\pi}{11} \dfrac{\rm mi}{\rm h} \approx 55.6919 \dfrac{\rm mi}{\rm h}[/tex]
So after 1 hour, Sal will have driven about 56 mi.
A simple random sample of size 30 is drawn from a population of size 200. if the population mean is 57 and the population standard deviation is 6, what is the standard error of the mean?
Answer:
1.0954.
Step-by-step explanation:
Standard error = std dev / √n
= 6 / √30
= 1.0954.
HELP ASAP PLS
Question 2 of 5
Select all the correct answers.
Which expressions are prime polynomials?
Answer: the first one and the third one
Step-by-step explanation:
The prime polynomials from the polynomials are:
1. [tex]x^4[/tex] + 3y²x - 1 and 3. x² - 9x + 3.
Options 1 and 3 are the correct answer.
We have,
A prime polynomial is a polynomial that cannot be factored into a product of two polynomials with integer coefficients.
Let's check each expression to see if it is a prime polynomial:
[tex]x^4[/tex] + 3y²x - 1:
This expression cannot be factored further, so it is a prime polynomial.
9y + 4y² + 12y³:
This expression can be factored as y(9 + 4y + 12y²), so it is not a prime polynomial.
x² - 9x + 3:
This expression cannot be factored further, so it is a prime polynomial.
x² - 3x - 10:
This expression can be factored as (x - 5)(x + 2), so it is not a prime polynomial.
x³ - 512y³:
This expression can be factored as (x - 8y)(x² + 8xy + 64y²), so it is not a prime polynomial.
Thus,
The prime polynomials are:
1. [tex]x^4[/tex] + 3y²x - 1 and 3. x² - 9x + 3.
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Olivia Sells 1/8 ton of copper to recycle♻️. The recycler pays $4 per pound. How much money in dollars, does the recycler pays Olivia for her copper?
The total amount the recycler pays Olivia is $1000.
What is the total amount Olivia is paid?The weight of the copper is expressed as a fraction A fraction is a non-integer that is made up of a numerator and a denominator. The numerator is the number above and the denominator is the number below.
There is a need to convert tons to pounds:
1 ton = 2000 pounds
1/8 x 2000 = 250 pounds
The total amount that the recycler pays can be determined by multiplying the total pounds by cost per pound.
Total cost = cost per pound x total pound
250 x $4 = $1000
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Use special right triangles to find the value of the variables no decimal answers
Step-by-step explanation:
This is trigonometry. Focusing on Y initially, we can see that Y is the opposite, and 32 is the hypotenuse. Therefore, we must use sin:
[tex] \sin(60) = \frac{y}{32} [/tex]
[tex]y = \sin(60) \times 32[/tex]
[tex]y \approx28[/tex]
Next X. We can see that X is the adjacent, and 32 is the hypotenuse, so we must use cos:
[tex] \cos(60) = \frac{x}{32} [/tex]
[tex]x = \cos(60) \times 32[/tex]
[tex]x = 16[/tex]
Now let's look at A. We can see that a is the adjacent, and 12 is the opposite, so we must use tan:
[tex] \tan(60) = \frac{12}{a} [/tex]
[tex]a = \frac{12}{ \tan(60) } [/tex]
[tex]a \approx7[/tex]
Now, B. We can see that B is the hypotenuse, and 12 is the opposite, so we must use sin:
[tex] \sin(60) = \frac{12}{b} [/tex]
[tex]b = \frac{12}{ \sin(60) } [/tex]
[tex]b \approx14[/tex]
Answer:
Below in bold.
Step-by-step explanation:
The first triangle is a 30-60-90 triangle,
so the sides are in the ratio 2 : 1 : √3, where 2 is the hypotenuse, the 1 is adjacent to 60 degree angle and the √3 is opposite the 60 degree angle.
So x = 1/2 * 32 = 16
and y = 16√3 or 27.71 to nearest hundredth.
The second one is the same special triangle, so
√3/2 = 12/b
b = 24/√3
= 8√3 or 13.86 to nearest hundredth.
a = 1/2 b = 4√3 or 6.93 to nearest hundredth.
Hurry show your work
Answer: [tex]\huge\boxed{\boxed{15}}[/tex]
Step-by-step explanation:
Given expression
[tex]\large\boxed{\frac{12[30 - (9+4^2)]}{|10|-|-6| } }[/tex]
Simplify the exponents
[tex]\large\boxed{=\frac{12[30 - (9+16)]}{|10|-|-6| } }[/tex]
Simplify values in the parenthesis
[tex]\large\boxed{=\frac{12[30 - 25]}{|10|-|-6| } }[/tex]
[tex]\large\boxed{=\frac{12[5]}{|10|-|-6| } }[/tex]
Simplify absolute values (all positive)
[tex]\large\boxed{=\frac{12[5]}{10-6 } }[/tex]
[tex]\large\boxed{=\frac{12[5]}{4 } }[/tex]
Simplify by division
[tex]\large\boxed{=3~[5]}[/tex]
Simplify by multiplication
[tex]\huge\boxed{\boxed{=15}}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
The length of a rectangle is a inches. Its width is 5 inches less then the length. Find the area and perimeter of the rectangle
Answer:
Area = (a² -5a) in²
Perimeter = (4a -10) in
Step-by-step explanation:
Let the length of the rectangle be a.
Given that, its width is 5 in less than the length.
So,
length ⇒ a
width ⇒ (a - 5)
First, let's find the area of the rectangle.
Area = length × width
Area = a ( a - 5 )
Solve the brackets.
Area = (a² -5a) in²
Now, let us find the perimeter of the rectangle.
Perimeter = 2 ( l + w )
Perimeter = 2 ( a + a - 5 )
Perimeter = 2 ( 2a - 5 )
Perimeter = (4a -10) in
What equation represents a line that passes through points (-1,2) and (3,1)
4x - y = -6
X + 4y = 7
X - 4y = -9
4x + y = 2
Answer:
B.) x + 4y = 7
Step-by-step explanation:
(Step 1) ----------------------------------------------------------------------------------------------
To find the equation, we first need to find the slope using the point-slope form:
y₁ - y₂ = m(x₁ - x₂)
In this form, "m" represents the slope, "x₁" and "y₁" represent the values from the first point, and "x₂" and "y₂" represent the values from the second point.
Point 1: (-1, 2) Point 2: (3, 1)
x₁ = -1 x₂ = 3
y₁ = 2 y₂ = 1
y₁ - y₂ = m(x₁ - x₂) <----- Point-slope form
2 - 1 = m(-1 - 3) <----- Insert values
1 = m(-4) <----- Subtract
-1/4 = m <----- Divide both sides by -4
(Step 2) ---------------------------------------------------------------------------------------------
The given equations are in the slope-intercept form. The general structure looks like this:
y = mx + b
In this form, "m" represents the slope and "b" represents the y-intercept. To find the y-intercept, you can plug the newfound slope and values from one point into the equation.
x = -1
y = 2
m = -1/4
y = mx + b <----- Slope-intercept form
2 = (-1/4)(-1) + b <----- Insert values
2 = 1/4 + b <----- Multiply -1/4 and -1
8/4 = 1/4 + b <----- Make common denominators
7/4 = b <----- Subtract both sides by 1/4
(Step 3) ---------------------------------------------------------------------------------------------
The equation in slope-intercept form is thus: y = -1/4x + 7/4.
While this equation is accurate, it seems that it must be slightly manipulated. Therefore, we need to alter this equation to look like one of the answer choices. For instance, we can multiply the entire equation by 4 to remove the denominator.
y = -1/4x + 7/4 <----- Equation
4y = -x + 7 <----- Multiply all terms by 4
x + 4y = 7 <----- Add "x" to both sides
Pls answer question 8
Step-by-step explanation:
step 1: multiply [tex]2^m[/tex] by [tex]3^n[/tex]
2 × 3 = 6
to times power you must add them
eg: [tex]x^3[/tex] × [tex]x^4[/tex]3+4=7=[tex]x^7[/tex][tex]2^m[/tex] × [tex]3^n[/tex] = [tex]6^{m+n}[/tex]
step 2: rearrange
[tex]6^{m+n}[/tex] = 108
can you do this step by yourself
Jay received a holiday bonus in the amount of 66⅔% of his daily salary. Jay earns $300 each day. How much was his holiday bonus?
Answer: $200
Step-by-step explanation:
We will find 66⅔% of $300 to see how much Jay received. A percent divided by 100 becomes a decimal.
66⅔% / 100 ≈ 0.667
0.667 * $300 = $200
What is the scale factor of the dilation shown ?
Work Shown:
k = scale factor
k = (A'B')/(AB)
k = 8/12
k = (4*2)/(4*3)
k = 2/3
Triangle A'B'C' (image) has side lengths that are 2/3 as long compared to the side lengths of triangle ABC (preimage).
AB is tangent to ⊙C at point B and AD is tangent to ⊙C at point D.
Circle C is shown. Line segments C B and C D are radii. Line segments B A and D A are tangents to circle C. Angle B C D is 124 degrees.
What is m∠A?
34°
62°
56°
124°
[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
As you can see in the quadrilateral ABCD, the two angles measure 90° (as they are tangents to circle c) and one of them is given 124°
we need to find the Angle BAD : let it be x ~
By angle sum property of Quadrilaterals,
[tex]\qquad \sf \dashrightarrow \: 90 + 90 + 124 + x = 360[/tex]
[tex]\qquad \sf \dashrightarrow \: x+30 4 = 360[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 360 - 304[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 56 \degree[/tex]
Hence, Angle m A = 56°
Answer: c
Step-by-step explanation:
A construction worker is pouring concrete stairs. The first step requires 1.7 cubic feet of concrete, and the first 4 steps require a total of 17 cubic feet. If the steps follow an arithmetic series, how much concrete is required for the first 12 steps
Based on the given parameters of a = 1.7 cubic feet and concrete for first 4 steps as 17 cubic feet, the concrete is required for the first 12 steps is 132.6 cubic feet
Arithmetic progressionFirst term, a = 1.7 cubic feetSum of first four terms = 17 cubic feetSn = n/2 {2a + (n - 1) d}
17 = 4/2{2×1.7 + (4 - 1)d}
17 = 2{3.4 + (3)d}
17 = 2(3.4 + 3d)
17 = 6.8 + 6d
17 - 6.8 = 6d
10.2 = 6d
d = 10.2/6
Common difference, d = 1.7Concrete required for first 12 steps;
Sn = n/2 {2a + (n - 1) d}
= 12/2{2×1.7 + (12-1)1.7}
= 6{3.4 + (11) 1.7}
= 6(3.4 + 18.7)
= 6(22.1)
= 132.6
Concrete required for first 12 steps = 132.6 cubic feet
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Answer:
132.6 cubic feet
Step-by-step explanation:
Question 1 of 10
Which expression is the simplest form of - (3x³ + x²) +2 (x³ - 4x²)?
OA.-2³-32²
OB.-2³-92²
O C. 5x³-7x2²
OD. 52³-82²
SUBMIT
Answer:
B. -x³ - 9x².
Step-by-step explanation:
- (3x³ + x²) +2 (x³ - 4x²)
= -3x³ + 2x³ - x² - 8x²
= -x³ - 9x²
Answer: [tex]\Large\boxed{-x^3-9x^2}[/tex]
Hi there! By my calculation, I got the answer above. However, it doesn't fit any one of the answer choices. I am not sure if I am totally correct, but I have been double-checking my answers. Please let me know whether it's the answer choices mistaken or I am wrong so that I could modify my answer if necessary.
Step-by-step explanation:
Given expression
- (3x³ + x²) +2 (x³ - 4x²)
Expand parenthesis by the distributive property
= -3x³ - x² + 2x³ - 8x²
Combine like terms
= -3x³ + 2x³ - x² - 8x²
[tex]\Large\boxed{=-x^3-9x^2}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Use an appropriate half-angle formula to find the exact value of the expression. cos(22. 5°)
The value of given trigonometric value cos(22. 5°) is 0.387.
According to the statement
we have given that the trigonometric value and we have to find the exact value of that given value with the help of the half angle formula.
So, For this purpose, we know that the
The half angle formulas are used to find the exact values of the trigonometric ratios of the angles like 22.5°.
So,
The given value is :
cos(22. 5°)
Then the value of cos half angle formula is
[tex]cos (theta/2) = +- sqrt((1-cos theta) / 2)[/tex]
then
The value of θ/2 is 22.5 degree.
And θ is 22.5*2
θ = 45 degree
and cos 45 degree is 1/squareroot 2
And by this the value of given value become is
[tex]cos 22.5 = +\sqrt{((\sqrt{2} -1)/(2 \sqrt{2} )) } = + 0.3827[/tex]
So, The value of given trigonometric value cos(22. 5°) is 0.387.
Learn more about half angle formulas here
https://brainly.com/question/12475880
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Change
3
-
4
to a percent
Answer:
75%
Step-by-step explanation:
3/4 ie 75/100. .........edge
What is the image point of (-1, -8) after
the transformation ry=-x T4,-5?
Answer:
sheu7euw73u3hsusuuwueudhdhdhsjsjwiwuwuehehdggdhdue
Step-by-step explanation:
hzhsusududjdndjdhehhshshhdhdhdhdhdhdhdhdhbhdhdhhdhdhdudxbdhdhdhdhhshdhyehsuehduwhgduwhdydh