Step-by-step explanation:
pressure = F/A
= 750/ (1.7×9)
= 49 N/m²
The graph shows the amount in Harold's savings
account over a certain number of weeks. Find the rate
of change and record it in the grid
HELPS A GIRL OUT
5.
Find the volume, of a cone with a radius of 3 yards and a height of 11 yards.
ANSWER: Solve for volume
V≈79.26m³
6.
Viola drives 170 m up a hill that makes an angle of 6° with the horizontal. Rounded to the nearest tenth of a meter, what horizontal distance has she covered?
169.1 m
17.8 m
1,617.4 m
171.5 m
Answer:
(a) 169.1 m
Step-by-step explanation:
The diagram shows you the distance (x) will be shorter than 170 m, but almost that length. The only reasonable answer choice is ...
169.1 m
__
The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
The leg of the right triangle adjacent to the marked angle is x, and the hypotenuse is 170 m. Putting these values into the equation, you have ...
cos(6°) = x/(170 m)
x = (170 m)cos(6°) ≈ (170 m)(0.994522) ≈ 169.069 m
The horizontal distance covered is about 169.1 meters.
_____
Additional comment
Expressed as a percentage, the slope of this hill is tan(6°) ≈ 10.5%. It would be considered to be a pretty steep hill for driving.
if emily eats 18 cookies, which represents 30% of the bag, how many cookies are in the bag
Answer:60
Step-by-step explanation:
18 x 100= 1800. 1800/30= 60. 60 x %30= 18
The number of cookies in the bag is A = 60
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Now , 30 % of the cookies in the bag = 18 cookies
On simplifying the equation , we get
( 30 / 100 )A = 18
Multiply by 100 on both sides , we get
30A = 1800
Divide by 30 on both sides , we get
A = 1800/30
A = 60 cookies
Hence , the number of cookies is 60
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Which equation translates the sentence, "Three times the number m plus ten is equal to n"?
A. 3m + 10 = n
B. 3(10) + m = n
C. 3 + 10m = n
D. 3 x 10(m) = n
prove that
{(tanθ+sinθ)^2-(tanθ-sinθ)^2}^2 =16(tanθ+sinθ)(tanθ-sinθ)
First, expand the terms inside the bracket you will get
[tex](( \tan {}^{2} (x) + 2 \tan(x) \sin(x) + \sin {}^{2} (x) - ( \tan {}^{2} (x) - 2 \tan(x) + \sin {}^{2} (x) ) {}^{2} = 16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) )[/tex]
[tex]( 4 \tan(x) \sin(x) ) {}^{2} = 16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) )[/tex]
[tex]16 \tan {}^{2} (x) \sin {}^{2} (x) = 16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) )[/tex]
[tex]16 \tan {}^{2} (x) (1 - \cos {}^{2} (x) ) = 16 (\tan(x) + \sin(x) )( \tan(x) - \sin(x) )[/tex]
[tex]16( \tan {}^{2} (x) - \frac{ \sin {}^{2} (x) \cos {}^{2} ( {x}^{} ) }{ \cos {}^{2} (x) } [/tex]
[tex]16( \tan {}^{2} (x) - \sin {}^{2} (x) ) = 16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) )[/tex]
[tex]16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) = 16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) )[/tex]
What is the surface area of the cube below?
Answer:
I dont see a cube but...
Step-by-step explanation:
A cube has 6 faces. The area of each face is found by squaring the length of the side. Multiply the area of one face by the number of faces to get the total surface area of the cube.
A=6a2
Help I need the awnser asap
AABC = ADEF
B
C
E
F
Match BC to the corresponding part.
EF FD
ZE
Answer:
Is it not just EF?
Step-by-step explanation:
I mean BC is the bottom of the triangle so the corresponding part is just the other triangles bottom which is EF if it was just angle B it'd be just angle E but it's not it's both B and C so it's E and F
What 2 numbers multiply to get 35 and add up to get -12?
Answer:
-7 and -5
Step-by-step explanation:
Because Im smart not gonna lie.
I need help with this and how to solve it
The stem-and-leaf plot shows the number of digs for the top 15 players at a volleyball tournament.
Find the mean, median, mode, range, and interquartile range of the data. Round your answers to the nearest tenth, if necessary.
The mean is.
The median is.
The modes from least to greatest are , , and.
The range is.
The interquartile range is.
The data of players of volleyball tournament, the mean is 56.5, median is 53, range is 56 and interquartile range is 20
What is mean, median and mode of a data set?The mean of the data is the average value of the given data. The mean of the data is the ratio of the sum of all the values of data to the total number of values of data.
The median of the data is the middle value of the data set when it arrange in ascending or descending order.
Mode of a data set is the value, which occurs most times for that data set. The value which has the highest frequency in the given set of data is known as the mode of that data set.
The stem-and-leaf plot shows the number of digs for the top 15 players at a volleyball tournament. The table is attached below.
The data according to the table is,
41,41,43,43,45,50,52,53,54,62,63,63,67,75,97
The mean is-[tex]\mu=\dfrac{41+41+43+43+45+50+52+53+54+62+63+63+67+75+97}{15}\\\mu=\dfrac{849}{15}\\\mu=56.5[/tex]
The median is.
The arranged data according to the table is,
41,41,43,43,45,50,52,53,54,62,63,63,67,75,97
Here, the middle value is 53. Thus, the median is 53.
The modes from least to greatest are , , and.Mode is the data which occur most offen. Here the order of modes from least to greatest is,
41 41 43 43 45 50 52 53 54 62 63 63 67 75 97
The range is.Lowest value in data is 41 and highest is 97. Thus, the range is,
[tex]r=97-41\\r=56[/tex]
The interquartile range is.The third quartile of data is 63 while first quartile is 43. Thus, the interquartile range is.
[tex]IQR=63-23\\IQR=20[/tex]
Thus, the data of players of volleyball tournament, the mean is 56.5, median is 53, range is 56 and interquartile range is 20.
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please help me out on this question
Answer:
the train won't always go the same distance each minute and for the second one its 4 minutes
Which graph represents the solution to the system of inequalities?
StartLayout Enlarged left-brace first row x squared + 4 y squared less-than 64 second row y greater-than 3 Superscript x EndLayout
Answer is D
Edge 2022
The answer is D :) YW!
Which expressions are equivalent to 42-5? Choose all the correct answers. Show your work in arriving at your answers.
Answer:
B, C, E
Step-by-step explanation:
Exponent Rules
[tex]a^b \cdot a^c=a^{b+c}[/tex]
[tex]\dfrac{a^b}{a^c}=a^{b-c}[/tex]
[tex]a^n \cdot b^n=(ab)^n[/tex]
[tex]a^0=1[/tex]
[tex]\dfrac{1}{a^b}=a^{-b}[/tex]
[tex](a^b)^c=a^{bc}[/tex]
[tex]\textsf{A}\quad42^{-3} \cdot 42^8=42^{-3+8}=42^5[/tex]
[tex]\textsf{B}\quad \dfrac{42^{-7}}{42^{-2}}=42^{-7-(-2)}=42^{-5}[/tex]
[tex]\textsf{C}\quad \dfrac{6^{-5}}{7^5}=6^{-5} \cdot 7^{-5}=(6 \cdot 7)^{-5}=42^{-5}[/tex]
[tex]\textsf{D}\quad 42^0 \cdot 42^5=1 \cdot 42^5=42^5[/tex]
[tex]\textsf{E}\quad \left(\dfrac{1}{42^{-5}}\right)^{-1}=(42^5)^{-1}=42^{-5}[/tex]
[tex]\textsf{F}\quad \left(\dfrac{6^{-5}}{7^5}\right)^{-1}=\left(6^{-5} \cdot 7^{-5}\right)^{-1}=\left(\left(6 \cdot 7\right)^{-5}\right)^{-1}=42^{-5(-1)}=42^5[/tex]
Check one by one
#A
[tex]\\ \rm\Rrightarrow 42^{-3}42^8=42^{-3+8}=42^5[/tex]
#B
[tex]\\ \rm\Rrightarrow \dfrac{42^{-7}}{42^{-2}}=42^{-7+2}=42^{-5}\checkmark[/tex]
#C
[tex]\\ \rm\Rrightarrow \dfrac{6^{-5}}{7^5}=6^{-5}7^{-5}=42^{-5}\checkmark[/tex]
#d
[tex]\\ \rm\Rrightarrow 42^0.42^5=42^{0+5}=42^5[/tex]
#e
[tex]\\ \rm\Rrightarrow \left(\dfrac{1}{42^{-5}}\right)^{-1}=42^{-5}\checkmark[/tex]
#f
[tex]\\ \rm\Rrightarrow \left(\dfrac{6^{-5}}{7^5}\right)^{-1}[/tex]
[tex]\\ \rm\Rrightarrow (42^{-5})^{-1}[/tex]
[tex]\\ \rm\Rrightarrow 42^5[/tex]
Balance the nuclear reaction equation for the beta minus decay of iodine-131 by completing the missing numbers. superscript 131 subscript 53 upper i right arrow superscript question mark subscript 54 upper x e plus superscript 0 subscript question mark e. the superscript of xenon is . the subscript of the electron is .
Beta minus decay has to do with the loss of an electron. The superscript on the daughter nucleus is 131 while the subscript is 54;
What is a beta minus decay?The term beta minus decay has to do with the loss of an electron. The daughter nucleus so formed is always going to have an atomic number that is greater than that of the parent by 1 unit.
The complete nuclear reaction here is; [tex]\frac{131}{53} I ------- > \frac{131}{54} Xe + \frac{0}{-1} e[/tex] . The daughter nucleus here is Xe while the parent nucleus is I.
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Answer:
The superscript of xenon is 131
The subscript of the electron is -1
Step-by-step explanation:
Bella is building two wigwams for a school project on american indian tribes. she first builds two wooden frames, each in the shape of a cone with a base radius of 2 feet and a slant height of 5 feet. if bella wants to cover the frames in fabric, how many square feet of fabric will she need? (use 3.14 for pi and round to the nearest whole number. recall the formulas l a = pi r l and s a = pi r l pi r squared.) square inches
The amount of fabric needed = 2(surface area of the cone-shaped wooden frame) = 88 ft².
What is the surface Area of a Cone?Surface area of a cone = πr² + πrl
Given the following dimensions of the cone-shaped wooden frame:
Slant height (l) = 5 feetRadius (r) = 2 feetAmount of fabric needed = 2(surface area of the cone-shaped wooden frame) = 2(πr² + πrl)
= 2(3.14 × 2² + 3.14 × 2 × 5)
= 87.92
Amount of fabric needed ≈ 88 ft²
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Answer:
88
Step-by-step explanation:
What is the perimeter of parallelogram ABCD?
Answer:
18 cm
Step-by-step explanation:
4+5+4+5=18
or
2(a+b)
2(4+5)
2(9)
18
Find the value of x. Assume that lines which appear to be tangent to the circle are tangent. A) 1 B) 3 C) 4 D) 6
Answer: D
Step-by-step explanation:
Find the probability. Round your answer to the nearest hundredth (two
decimal places)
A bag contains 3 red chips, 4 blue chips, 5 yellow chips, and 3 green chips.
You randomly choose a chip, and without replacing it, you randomly
choose another chip. Find the probability that you choose a yellow chip
on your first pick and a blue chip on your second pick.
Answer: yellow is 5/15 = 1/3
Blue chip is 4/14 = 2/7
1/3 × 2/7 = 2/ 21
Answer0.095 = 0.10
Step-by-step explanation:
Calculate the median of the data set below. {0.3, 1.5, 3.8, 2.6, 1.5, 9.1, 4.2, 3.8, 1.5, 2.9} A. 3.8 B. 3.35 C. 2.75 D. 2.5
Answer:
2.75
Step-by-step explanation:
0.3,1.5,1.5,1.5,2.6,2.9,3.8,3.8,4.2,9.1
(smaller to greater)
middle of this is 2.6 and 2.9
so, 2.6+2.9=5.5
now we divide it by 2
so, 5.5/2=2.75
I need help with 19
Answer: 5/26
Step-by-step explanation:Hope this is helpful
Please help! Question is below!
Answer:
28.3 ft²
Step-by-step explanation:
Area = πr²
A = π × 3²
A = 28.2743339 = 28.3 ft²
Linda bought 2 cans of paint and 1/2 of a pint of special paint additive formulated to reduce mildew. Before painting her house, she divided the additive equally between the 2 cans of paint. How much additive did she put in each can?
Ben bowled 160 and 191 in his first two games. What must he bowl in his third game to have an average of at least 190?
HELP PLSS
Select all of the expressions that are equivalent to 7c.
A c + 3(c + c)
B 2(c + c) +c
C 3c + 4c + c
D 2c + 4c + c
E c (2c + 2c)
D 2c + 4c + c
Step-by-step explanation:Collect Coefficients of like terms
[tex](2+4+1)\times c[/tex]
__________________________________________________
Calculate the sum or difference
[tex]7c[/tex]
__________________________________________________
Determine true/false
[tex]Determine\ whether\ 7c\ and\ 2c+4c+c\ are equivalent:[/tex]
[tex]True[/tex]
I hope this helps you
:)
find the volume of the prism
You roll a die 60 times how many times do you expect to roll a factor of 12
Answer:
Just for fun, the probability of rolling a die 60 times and getting no ones is
(600)(5/6)60=0.0018% .
Step-by-step explanation:
This 10 ones is the value with the highest probability of occurring. It has a probability of (6010)(1/6)10∗(5/6)50≈13.7% .
Two major cities each have a population of
25,000 people. The population of City A
increases by about 150 people per year. The
population of City B increases by about 0.5%
per year.
Insert table from SPREADSHEET here, showing the first 5 years of population growth for both
cities.
Will City B ever have a larger population than City A? If so, what year will this occur?
Answer:
...insert the DESMOS graph that supports your answer here...
What set of numbers are shaded on the
hundred chart?
A only the factors of ten
B only the multiples of 10
C only the factors of 20
D only the multiples of 20
Tyler applied the change of base formula to a logarithmic expression. The resulting expression is shown below.
StartFraction log one-fourth Over log 12 EndFraction
Which expression could be Tyler’s original expression?
Log Subscript one-fourth Baseline 12
Log Subscript 12 Baseline One-fourth
12 Log one-fourth
One-fourth log 12
Answer:
[tex]log_{12}(\frac{1}{4})[/tex]
Step-by-step explanation:
We start with our equation that the change of base formula was applied to:
[tex]\frac{log\frac{1}{4} }{log12}[/tex]
The change of base formula describes taking the base (b) of the logarithm and setting it as the denominator while taking the remaining number (a) and setting that as the numerator.
If we reverse the formula, we end up with the supplied answer.
[tex]log_{12}(\frac{1}{4})[/tex]
Answer:
Other guy is correct
Step-by-step explanation: