Answer:
The equation that models how far from the tip of the saw is from the wood in terms of time is x(t) = 10×cos(2×π×t) + 17
Step-by-step explanation:
The given parameters are;
Length of the saw blade = 40 cm
Thickness of the wood across = 8 cm
Length of blade between wood saw handle with hand extended = 5 cm
Length of the tip from the wood at the above time = 40 - 8 - 5 = 27 cm
Length of blade between wood saw handle with saw pulled inwards = 25 cm
Length of the tip from the wood at the above time = 40 - 8 - 25 = 7 cm
Time for one complete cycle = 1 second
We note that the basic equation for oscillatory motion is of the form;
x(t) = A·cos(ωt) + d
Where:
A = Amplitude of the motion = (27 - 7)/2 = 10 cm
ω = Angular frequency = 2·π/T
ωt = Motion's phase
t = Time of the motion
d = The middle location = 27 - 10 = 17 cm
T = The time to complete a cycle = 1 s
Therefore;
ω = 2·π
Given that he stars with his arm extended out, we have;
27 = 10×cos(2×π×0) + 17
Therefore, the equation that models how far from the tip of the saw is from the wood in terms of time is x(t) = 10×cos(2×π×t) + 17.
At the Souvenir Shop, gemstone souvenirs cost $11.60 for 5. Which proportion can be used to find the cost of just 1 gemstone?
Answer:
see below
Step-by-step explanation:
$11.60 for $5
1. Find the rate.
$11.60 divided by $5= $2.32
2. 1 gemstone= $2.32
Your anwser should be 1 over $2.32 or $2.32 over 1 depending on how you want it.
Answer:
D) x/11.60= 1/5
Step-by-step explanation:
Una importadora planea sus gastos para realizar la importación de 12 000 hasta 60 000 piezas de auriculares con aranceles y sin ellos. El precio de los auriculares antes del primero de septiembre de 2019 es de 96$ contemplando gastos de importación; el arancel de impuesto a ese producto es de 10%. Determina la expresión algebraica para modelar la compra de auriculares, indica si es una proporción directa o inversa.
Answer:
La expresión algebraica que representa la compra de los auriculares es [tex]c = 105.6\cdot n[/tex], existe una proporcionalidad directa.
Step-by-step explanation:
Existe un proporcionalidad directa, pues el coste total de importación aumenta conforme aumenta la cantidad de auriculares a importar. Esto es:
[tex]c \propto n[/tex]
[tex]c = k\cdot n[/tex]
Donde:
[tex]n[/tex] - Cantidad de auriculares a importar, adimensional.
[tex]c[/tex] - Coste total de importación, medido en pesos.
[tex]k[/tex] - Constante de proporcionalidad, medido en pesos.
La constante de proporcionalidad es igual al coste unitario del auricular más el impuesto de arancel, es decir:
[tex]k = 1.10\cdot (\$\,96)[/tex]
[tex]k = \$\,105.6[/tex]
Entonces, la expresión algebraica que representa la compra de los auriculares es:
[tex]c = 105.6\cdot n[/tex]
A soccer ball is made of 32 pieces of leather: white hexagons and black pentagons. Each black piece borders only with white pieces, each white piece borders with three black pieces and three white pieces. How many black pieces are needed to manufacture the ball?
Answer:
The number of black pieces needed to manufacture the ball is 11 black pieces
Step-by-step explanation:
Given that the number of pieces in the soccer ball = 32 pieces
The shape of the white piece = Hexagon
The shape of the black piece = Pentagon
Each black piece borders with only white pieces
Each white piece borders with three black pieces and three white pieces
For the first black pie piece is borders to 5 white pieces total 6 pieces
Each of the five white pieced borders 3 pieced total 5 black pieces on the sides and one white piece on top to make an additional 10 piece total = 10 + 6 = 21 piece
Each black piece holds one white piece to add extra 5 pieces to make the total = 26
At the outermost shell of the arrangement, each of the white piece attached to a black piece will attach to an extra black piece, bringing the total to 26 + 5 = 31,
The last piece is white
Total black piece = 1 + 5 + 5 = 11 black pieces.
A metalsmith is mixing two molten metals, each containing different percentages of silver. The table shows the amount of each molten metal used. Which two expressions are both equivalent to t, the total number of grams of silver in the mixture?
A: (15)(0.75) and 0.7(15 – x) + 0.9x
B: (15)(0.75) and 0.7(15 – x)(0.9x)
C: 15 + 0.75 and 0.7(15 – x) + 0.9x
D: 15 + 0.75 and 0.7(15 – x)(0.9x)
Answer:
(15)(0.75) and 0.7(15 – x) + 0.9x
Step-by-step explanation:
I did that assignment.
Answer:
its A
Step-by-step explanation:
A university would like to estimate the proportion of fans who purchase concessions at the first basketball game of the season. The basketball facility has a capacity of 3 comma 600 and is routinely sold out. It was discovered that a total of 210 fans out of a random sample of 500 purchased concessions during the game. Construct a 95% confidence interval to estimate the proportion of fans who purchased concessions during the game.
Answer:
Step-by-step explanation:
Confidence interval is written as
Sample proportion ± margin of error
Margin of error = z × √pq/n
Where
z represents the z score corresponding to the confidence level
p = sample proportion. It also means probability of success
q = probability of failure
q = 1 - p
p = x/n
Where
n represents the number of samples
x represents the number of success
From the information given,
n = 500
x = 210
p = 210/500 = 0.42
q = 1 - 0.42 = 0.58
To determine the z score, we subtract the confidence level from 100% to get α
α = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
This is the area in each tail. Since we want the area in the middle, it becomes
1 - 0.025 = 0.975
The z score corresponding to the area on the z table is 1.96. Thus, the z score for a confidence level of 95% is 1.96
Therefore, the 95% confidence interval to estimate the proportion of fans who purchased concessions during the game is
0.42 ± 1.96√(0.42)(0.58)/500
= 0.42 ± 0.043
A line has____rotational symmetry,
Answer:
two-fold
Step-by-step explanation:
you can rotate it one other way for it to look the exact same, meaning there are a total of 2 ways to rotate it
Answer:
A line has two-fold rotational symmetry; A
Step-by-step explanation:
One fold when it is turned 180°
And another fold when it is turned 360°
Hope that helps!!
Problemas de algoritmo a, um buso se encuentra a 12m bajo el nivel del mar ,si sube 3 m ,cual sera su nueva posicion ,rrepresenta numeros enteros,positivo y negativo
Answer:
9 metros bajo el nivel del mar
Step-by-step explanation:
Aquí, tenemos un autobús que está a 12 metros bajo el nivel del mar.
Ahora, el autobús ganó algo de altura y subió 3 metros hacia arriba Debemos entender que el autobús todavía está bajo el nivel del mar pero a un nivel más alto en relación con el fondo del mar.
Por lo tanto, la altura del autobús sería + 3 + (-12) = 3-12 = -9 Esto muestra que el autobús todavía está a 9 metros bajo el nivel del mar.
What percent of discount should be given in a doll costing Rs 180
such that a customer can buy at Rs 160?
Answer:
11.11%
Step-by-step explanation:
So the question is:
$180 * (x)% = $y
Therefore $180 - $y = $160
Now:
180 - 160 = 20
Therefore; $20 is the discount
Now per cent of discount:
20/180 * 100 = 11.111111111111111111111%
therefore: per cent of discount is 11.11% (rounded to two decimal place)
Answer:
11.11 %
Step-by-step explanation:
Costing Price = Rs 180
Selling Price = Rs 160
Discount = C.P - S.P
=> 180-160
=> Rs 20
In %age:
=> [tex]\frac{20}{180} * 100[/tex]
=> 11.11 %
helllllllllllllllllpppppp meeeeeeeeeeee please i really need this Sabastian wanted to compare how much time his neighbors spend on the Internet to how much mail they receive in a week. He gathered data by surveying his neighbors. [ NOTE: He gathered data, so He Has it Already, do not go back in time...] Explain the steps Sabastian should take in order to analyze the data.
Answer:
Step-by-step explanation:
Step 1: Create a Survey
Step 2: Administer the Survey
Step 3: Collect responses.
Step 4: Organize responses - Since the data is bivariate I'd like to see them explain that they would maybe use a frequency table to organize this data.
Step 5: Analysis
Then he can look at how to explain the organization of their data - can we use a chart? If I am using a scatter plot, how do I find the line of best fit? How do I correlate data, etc?
The step to analyze the collected data include plotting the data on an histogram
How to determine the steps?From the question, we understand that the data has already been gathered.
The next step is to analyze the collected data.
This can be done in several ways.
One of them is as follows:
Sort the data in ascending orderDetermine the mean, median, mode and rangeDetermine the standard deviation and variancePlot the data on a chart (e.g. histogram)Read more about data analysis at:
https://brainly.com/question/15380707
#SPJ2
Which number is a factor of 51?
factors of 51 are 1, 3, 17, 51
Answer:
1 × 51 = 51
3 × 17 = 51
_________
1, 51, 3, 17 are all factors of 51!
51 is composite.
Consider this complex fraction. Which division problem is represented in the picture? Two-thirds divided by 3 and one-third 3 and one-third divided by (three-halves) 3 (two-thirds) 3 and one-third divided by 5
Answer:
This represents 3 and one-third divided by two-thirds because 10/3 = 3 and 1/3.
Answer:
It is 3 and 1/3 divided by 2/3. None of the choices given work.
Hope it helps <3
A region is bounded by semicircular arcs constructed on the side of a square whose sides measure 2/\pi, as shown. What is the perimeter of this region?
Answer:
4
Step-by-step explanation:
The perimeter of the region is equal to the sum of the perimeter of the four semicircular arc. Since the semicircular arcs have the same measure, therefore:
Perimeter of region = 4 × Perimeter of semicircular arc.
The side of the square = diameter of the semicircle = 2/π.
The radius of semicircle = diameter/2 = [tex]\frac{2/\pi}{2} =\frac{1}{\pi}[/tex]
The perimeter of a semicircle = perimeter of a circle ÷ 2
[tex]Perimeter\ of \ semicircle = \frac{perimeter\ of\ circle}{2}=\frac{2\pi r}{2}=\frac{2\pi (\frac{1}{\pi} )}{2} =1\\ Perimeter\ of\ region = 4*Perimeter\ of \ semicircle=4*1=4\[/tex]
What is the unit rate of each point (10,2.4) (15, 3.6) (17.5, 4.2)
Answer:
0.24
Step-by-step explanation:
Given the points (10,2.4) (15, 3.6) (17.5, 4.2)
The unit rate is the slope of the line joining any of the two points.
Using points (10,2.4) and (15, 3.6)
[tex]Slope, m=\dfrac{3.6-2.4}{15-10} \\=\dfrac{1.2}{5} \\\\=\dfrac{6}{25}[/tex]
=0.24
Using points (10,2.4) and (17.5, 4.2)
[tex]Slope, m=\dfrac{4.2-2.4}{17.5-10} \\=\dfrac{1.8}{7.5} \\\\=\dfrac{6}{25}\\=0.24[/tex]
Therefore, the unit rate for each point is 0.24
Radium-226 was discovered by Marie-Curie in 1898.
The notebooks she used were contaminated with radium-226 and are still hazardous.
Explain why the notebooks are still hazardous. (2) *
Answer:
The notebooks are still hazardous because the Curies didn't use protective equipment (nor did they have it) and the close proximity of the radioactive isotopes allowed for spreading of radioactivity. Since Radium-226 was kept in bottles and drawers in the Curies' home, it was in close proximity to their items. This allowed for Radium-226 to radiate to other items. In turn, those items absorbed the radiation and become radioactive. Today, Marie Curie is buried under a lead-lined coffin and her belongings can be visited ONLY with protective gear and signing a liability form.
Step-by-step explanation:
which statement is true about the value of /-5/
Answer:
-Absolute value is a measure of distance. 5 is in fact 5 units from 0 on the number line, just like +5. Its all about distance, and there are 2 things in math that will NEVER be negative...distance/length and time.
Step-by-step explanation:
Answer:
5.
Step-by-step explanation:
The absolute value measures the distance from 0. In this case, since the number is -5, the absolute value will be 5 since -5 is 5 units away from 0.
Hope this helps!
Roger’s father knows that Dial It Up sells data plans at $16 for 2 gigabytes and Ring Ring sells data plans at $9 for 1 gigabyte. Use this information to calculate the ratio of the number of gigabytes to the price in dollars for Dial It Up and Ring Ring.
Answer:
From Dial it, we have plans of $16 per 2 gb.
then the ratio is (number of gb you get):price
in this case:
2:16 or we can reduce it to 1:8
this means that per each Gigabyte, you pay 8 dollars. 1:8
Ring Ring has plans of $9 per 1gb
then the ratio of gb to Dollars is 1:9
And the ratio between the prices of the companies is: 8 to 9 or 8:9
which means that in one company you get one thing for 8, while in the other company you get the same thing for 9.
Answer:
Dial it Up charges $32 for 4 gigabytes, and Ring Ring charges $36 for the same amount of data. The difference of the plan prices is $36 – $32 = $4.
Someone help me plz
Answer: x = 3
Step-by-step explanation:
The area of a triangle is 1/2bh. Thus, the area of the triangle is 30. The area of a rectangle is lw. Thus it is 10x here. Thus, 10x = 30 and x = 3.
Hope it helps <3
Answer:
x = 3
Step-by-step explanation:
To find the area the area of a triangle is 1/2 b×h
that will be 1/2× 5×12 = 30
since the area of the triangle is equal to the area of the rectangle, and the area of a rectangle is l×b so l= x ; b= 10 so x × 10 = 30
= 10x= 30 divide both sides by 10 = 3
so x = 3
Pls help me with trig! i would rlly appreciate
Answer:
c≤
Step-by-step explanation:
hypotenuse=√(a²+b²)=√(5²+6²)=√(25+36)=√61
cosθ=5/√61=5/√61× (√61/√61)=5√61/61
Answer:
[tex]6 \sqrt{61} \div 61[/tex]
is ans
Step-by-step explanation:
given, a=5 and b=6
as the refrence angle is thit
p=6 and b= 5
[tex]now \: h \: = \sqrt{p {}^{2} + b {}^{2} } [/tex]
[tex] = \sqrt{6 { }^{2} + 5 {}^{2} } [/tex]
[tex] \sqrt{61} = [/tex]
therefore h
[tex] = \sqrt{61} [/tex]
now cos thita =b/h
therefore cos thita=
[tex]6 \sqrt{61} \div 61[/tex]
...is ans..
Which of the following is equivalent to 18 minus the square root of -25
Answer:
Undefined
Step-by-step explanation:
Since you said to find the square root of "-25" the answer is undefined because you cannot square root a negative number.
Answer:
18-5i
Step-by-step explanation:
I can't see the answer choices but all you have to do is simplify this equation.
18-√-25
What is the square root of -25?
Well first we make the -25 into 25 because we can't do anything with a negative.
So square root of 25 is 5
Now plug 5 into the equation
18-5
Then multiply i to 5 because we're not sure what the exact value of 18-√-25 is.
Hope this Helps!
Which diagram shows lines that must be parallel lines cut by a transversal? 2 horizontal lines are intersected by a third line. At the intersection of the first line with the third line, the bottom left angle is 115 degrees. At the intersection of the second line with the third line, the uppercase left angle is 65 degrees. 2 horizontal lines are intersected by a third line. At the intersection of the first line with the third line, the bottom left angle is 115 degrees and the bottom right angle is 65 degrees. 2 horizontal lines are intersected by a third line. At the intersection of the first line with the third line, the top right angle is 115 degrees. At the intersection of the second line with the third line, the uppercase left angle is 115 degrees. 2 horizontal lines are intersected by a third line. At the intersection of the first line with the third line, the uppercase left angle is 65 degrees and the bottom right angle is 65 degrees.
Answer:
(A) At the intersection of the first line with the third line, the bottom left angle is 115 degrees. At the intersection of the second line with the third line, the uppercase left angle is 65 degrees.
Step-by-step explanation:
Alternate interior angles are supplementary when parallel lines are crossed by a transversal. The first description seems to be describing alternate interior angles. (See attachment)
_____
Comment on orientation
If the transversal is oriented horizontally, then the descriptions of the angles will be of different angles than assumed here.
Answer:
(A) the first diagram
Step-by-step explanation:
What is the slope of the line that goes through the points (1, -5) and (4, 1)
Answer:
D) 2
Step-by-step explanation:
Use the following slope formula:
m (slope) = (y₂ - y₁)/(x₂ - x₁)
Let:
(x₁ , y₁) = (4 , 1)
(x₂ , y₂) = (1 , -5)
Plug in the corresponding numbers to the corresponding variables:
m = (-5 - 1)/(1 - 4)
Simplify. Remember to follow PEMDAS. First subtract, then divide:
m = (-5 - 1)/(1 - 4)
m = (-6)/(-3)
m = 2
D) 2 is your answer.
~
he price of a computer was decreased by 20% to £136.
What was the price before the decrease?
Answer:
The original price is 170
Step-by-step explanation:
Let x be the original price
x* .20 is the decrease
x - .20x = new price
.80x = new price
.8x = 136
Divide each side by .8
.8x/.8 = 136/.8
x =170
The full price is represented by 100%. If this computer was decreased by 20%, so it worth 80% now.
So, we can make a rule of three: 80% value is equals to 136, how much is 100%?
80% ------------ 136
100% ----------- x
Let's multiply "making a x":
[tex]80x = 136\cdot 100\\80x = 13.600\\x = \frac{13600}{80} \\x = 170[/tex]
Therefore, the price before the decrease was £170.
PLEASE PLEASE PLEASE HELP ASAP *grade 9 work* best answer gets brainliest :)
The graph shows the function f(x)=2^x.what is the value of x when f(x)=8?
Answer:
The Answer is 6 :)
Step-by-step explanation:
Answer:
x=3
Step-by-step explanation:
f(x)=2^x
Let f(x) =8
8 = 2^x
Rewriting 8 = 2^3
2^3 = 2^x
The bases are the same so the exponents are the same
3=x
Factor 10x2 − 17x + 3.
Answer:
(2x-3)(5x-1)Solution,
[tex]10 {x}^{2} - 17x + 3 \\ = 10 {x}^{2} - (15 + 2) x+ 3 \\ = 10 {x}^{2} - 15x - 2x + 3 \\ = 5x(2x - 3) - 1(2x - 3) \\ = (2x - 3)(5x - 1)[/tex]
Hope this helps..
Good luck on your assignment...
The following data points represent how many houses Gregg the Garbage Man visited each day last week.
12,28,33,37,23,14,9
use the data,and create a histogram
Answer:
Here we want to create a histogram of:
Number of houses Vs day.
First you need to create a rectangular coordinate axis.
In the x-axis you will divide the days as:
day 1, day2, day3 etc
in the y-axis you will measure the number of houses visited.
then, for the first day our height will be 12 units
for the second day, our height will be 28 units...
and so on.
Remember that for histograms you need to use columns.
Then, our histogram will look like:
23. A 340 million square mile forest is how many hectares?
Answer: in 340 million square miles there are 8.808 x 10^10 hectares
Step-by-step explanation:
Find the simple interest on a loan of 20,000 at the rate of 5% in 3 years
Answer:
3,000
Step-by-step explanation:
Loan = 20,000
Simple Interest per year = 5% of 20,000
=> [tex]\frac{5}{100}* 20,000[/tex]
=> 5 * 200
=> 1,000
Simple Interest for 3 years = 3 * 1000
=> 3,000
Answer:
3000
Step-by-step explanation:
SI = P × R × T
Use simple interest formula.
20000 × 5% × 3
1000 × 3
= 3000
Solve the system of equations. x+y=2 and y=-1/4x²+3
Answer:
2 solutions:
(-2.899, 0.899) and (6.899, -8.899)
Step-by-step explanation:
x+y=2
y=-x+2
y=1/4x²+3
Graph both equations into graphing calculator
Graph in attachment shows solutions
Using the segment addition postulate, which is true? A number line going from negative 9 to positive 9. A closed circle appears at negative 6 and is labeled A. A closed circle appears at negative 1 and is labeled B. A closed circle appears at positive 2 and is labeled C. A closed circle appears at positive 8 and is labeled D.
Answer:
The answer is given below
Step-by-step explanation:
The addition postulate for line segment states that if we have points A, C and a point B on line AC, The distance between points A and C can be given as:
AC = AB + BC
Point A is at -6, point B is at -1, point C is at +2 and point D is at point 8.
Therefore using line segment postulates:
AD = AB + BC + CD
But AB = -1 - (-6)= -1 + 6 = 5
BC = 2- (-1) = 2 +1 = 3
CD = 8 - (+2) = 8 - 2 = 6
Also AD = 8 - (-6) = 8 + 6 = 14
To prove AD = AB + BC + CD
AD = 5 + 3 + 6 = 14