Answer:
You can say that √105 is somewhere between 10 and 11 because 105 lies between the squares of 10 and 11 (100 and 121, respectively). However, 105 isn't a perfect square, so you can't really find its exact square root. If you have a calculator with you, you can solve for an approximate of √105 which is 10.246950766.
Step-by-step explanation:
What is the completely factored form of xy3 – x3y?
xy(y + x)(y – x)
xy(y – x)(y – x)
x y (x minus y) (x squared + x y + y squared)
x y (x minus y) (y squared + x y + x squared)
Answer:
[tex]xy(y+x)(y-x)[/tex]
Step-by-step explanation:
Given expression:
[tex]xy^3-x^3y[/tex]
Factor out the common term [tex]xy[/tex]:
[tex]\implies xy(y^2-x^2)[/tex]
Apply the Difference of Two Squares formula [tex]a^2-b^2=(a+b)(a-b)[/tex]:
[tex]\implies xy(y+x)(y-x)[/tex]
Answer:
A
Step-by-step explanation:
A traffic sign casts a shadow 7m long at the same time a person 1.6m tall casts a shadow 4m long. Find the height of the sign.
height of sign = x
length of sign shadow = 7m
For sign:-
[tex]tan \theta = \frac{p}{b} = \frac{height}{shadow} = \frac{x }{7} [/tex]
height of man = 1.6m
length of man shadow= 4m
For man :-
[tex] \tan\theta = \frac{p}{b} = \frac{height}{shadow} = \frac{1.6}{4} [/tex]
tanθ is same bez sun is at same level (angle) for both of them
So according to questions :-
[tex] \tan( \theta) = \frac{x}{7} = \frac{1.6}{4} \\ \frac{x}{7} = \frac{ \cancel{1.6}^{ \: \: 0.4} }{ \cancel4} \\ x = 7 \times 0.4 \\ x = 2.8m \: [/tex]
so we can say height of the sign = x = 2.8 m
Students at the college are allowed to work on campus no more than 20 hours per week. The jobs that are available pay different rates, starting from $8.75 an hour. Students can earn a maximum of $320 per week.
Write at least two inequalities that could represent the constraints in this situation. Be sure to specify what your variables represent.
Type your response in the space below.
Answer:
help me
Step-by-step explanation:
Asap
Select the correct answer.
Which function has a restricted domain?
Step-by-step explanation:
Check second one
[tex]\\ \rm\Rrightarrow k(x)=(-x+3)^{\frac{1}{2}}[/tex]
1/2 means square root[tex]\\ \rm\Rrightarrow \sqrt{(-x+3)}[/tex]
So
[tex]\\ \rm\Rrightarrow -x+3>0[/tex]
[tex]\\ \rm\Rrightarrow -x>-3[/tex]
[tex]\\ \rm\Rrightarrow x<3[/tex]
Hence.
Domain is restricted
Option B is correct
Find the product (4x – 2y)^3
Answer:
(2)3 • (2x - y)3
Step-by-step explanation:
Put the exponent aside and simplify the base by pulling out like factors
4x-2y = 2 • (2x-y)
Remember the 4th law of exponents : (a • b)m= am• bm
Retract the exponent and apply the 4th law to the simplified base: ( 2 • (2xy) )3 = (2)3 • (2x-y)3
Ariana charges $15 per ticket for a meet-and-greet plus $5 for parking. Due to a flu, she can only have at most 5 people attending. The total cost is a function of the number of people attending and is modelled by y = 15x + 5. What is a possible domain for this situation?
Answer and explanation:
Possible domain of function includes from number one person attending to number 5 person attending
Find attached
What is the area of the shaded region? 32 cm 32 cm 219.75cm * 804 24cm 1024cm #: 900cm
Answer:
if it is the circles it is 64
Step-by-step explanation:
if the shaded area is the circles than it is 64
MATH HELP PLEASE 1 QUESTION
Answer:
C
Step-by-step explanation:
simplifying c gives us 5/8x + 2.5 = 5/8x + 1.5 , which then gives us
2.5=1.5 , which is impossible, so it must be c
ConnectMe phone service charges Deva $29.95 per month for cellular data. Endless Data phone company is offering the same service for 20% less. How much will Deva save per month if she switches to Endless Data?
Answer:
5.99
Step-by-step explanation:
Math homework someone help and how are you guys? :)
Find an equivalent ratio in simplest terms: 18:21 ?
6/7
Step-by-step explanation:Hi there !
18 : 21 = 18⁽³/21 = 6/7
Good luck !
HElPPPPPPPPPPPPP
Select the correct answer from each drop-down menu.
1st question (0, 0.35, 0.71 , -0.71)
2nd question (0, 0.65, -0.54, -1.22)
find the zero of y=8x^(2)+2x+4
Answer:
hello
8 x² + 2 x + 4 = 0
Δ = 4 - 4 ( 8 * 4 ) = 4 - 128
Δ < 0 = no solutions
Step-by-step explanation:
Which of the following rational numbers is equal to 3 point 1 with bar over 1 ? (5 points) 22 over 9 , 24 over 9 , 26 over 9 , 28 over 9 a 22 over 9 b 24 over 9 c 26 over 9 d 28 over 9
Answer:
C
Step-by-step explanation:
Just got an A+ everything right
A juice and two sandwiches cost $70.00. A juice and four sandwiches cost $130.00. What is the cost of a sandwich?
Answer:
a sandwich = $30
Step-by-step explanation:
Reason why is because when it added 2 more sandwiches it added 70 with 30 2 times which equals 130.
A cell phone plan charges a base fee of $65 and an overage charge of $30 per gigabyte of data that exceed 2 gigabytes. If C represents the cost and G represents the total amount of gigabytes of data. What equation could represents this plan when more than 2 gigabytes are used
Answer:C =$65 + $30G
Step-by-step explanation:
Given that :
Base fee charge = $65
Overage charge = $30 / per gigabyte for data that exceeds 2 gigabyte
C = cost ; G = total amount of gigabyte
Equation to represent plan; if more than 2 gigabyte are used :
Cost (C) = Base charge + (average charge * amount of gigabyte)
C = $65 + ($30 * G)
C =$65 + $30G
todd Has a collection of 8cds and sally has a collection of 18 cds Todd is adding 9cds a month to his collection while sally is adding 7 cds a month to her collection when will they have the same number of cds and how many will they have
Answer:
Step-by-step explanation:
Let's create some equations first.
Say M = number of months, T = Todd and S = Sally.
We know that Todd starts with 8 cds and sally starts with 18 cds.
This means when M= 0, T = 8 and S = 18
After one month (M = 1), Todd adds 9 cds.
This means can write the following equation:
T = 8 + 9M
So after the first month (where M = 1), we can find out that Todd has
T = 8 + 9 x 1 = 8 + 9 = 17 cds
For Sally, we know she adds 7 cds per month.
S = 18 + 7M
After one month (M = 1),
S = 18 + 7 x 1 = 25 cds.
Now we are trying to find when they will have the same number of cds and how many.
This means we are trying to figure out what M = ? when Todd and Sally are equal.
So we want to find when T = S
Remember, earlier we wrote :
T = 8 + 9M
S = 18 + 7M
If T = S, this means:
8 + 9M = 18 + 7M
Gather the like terms and solve for M.
Subtract 8 from both sides.
9M = 10 + 7M
Subtract 7M from both sides
2M = 10
Divide both sides by 2
M = 5.
So in 5 months, we are saying T = S (Todd and Sally will have the same number of cds).
Put M = 5 back into our earlier equations to find out how many cds they have after 5 months.
T = 8 + 9M
T = 8 + 9 x 5
T = 53
Therefore, after 5 months Todd and Sally will have 53 cds each :)
A bookstore had 80 copies of a magazine. Yesterday, it sold 2/5 of them. Today, it sold 1/8 of what remained. How many copies does the bookstore have left?
Answer:
48 or 24
Step-by-step explanation:
Bill traveled 12.5 feet in 1 second and Kristie traveled 100 feet in 10 seconds. Who traveled faster?
Answer:Bill did
Step-by-step explanation:
12.5x10=125
Find the Perimeter of the figure below, composed of a square and four semicircles. Rounded to the nearest tenths place
Answer:
[tex]p = 37.6991118431[/tex]
Step-by-step explanation:
the perimeter of a half circle:
[tex]\pi r = \frac{d}{2} \pi = 3\pi = 9.4247779608[/tex]
there's the total of 4 half circle:
[tex]p = 9.42477796078 \times 4 =37.6991118431[/tex]
How wide is each annual ring (springwood and summerwood combined)? Disregard the bark and pith in your calculations. Show your work. Write your answer in inches
The width of each ring in the redwood trees of coastal California is 0.06 inches.
How to estimate the width of a ring in a tree
According to the statement, we know that age of a tree and base diameter are directly proportional to the number of rings. The width of the ring is estimated by dividing the radius of the tree base by the age of the tree:
[tex]w = \frac{10\,ft \times 12\,\frac{in}{ft} }{2000}[/tex]
[tex]w = 0.06\,in[/tex]
The width of each ring in the redwood trees of coastal California is 0.06 inches. [tex]\blacksquare[/tex]
Remark
The statement in incomplete, correct form is shown below:
Each year of its life, a tree grows a new ring just under the outside bark. The new ring consists of two parts, light-colored springwood, when the tree grows the fastest, and a darker-colored summerwood, when growth slows. When conditions are good and there is lots of sun and rain, the new ring is thicker than the rings formed when there is drought or excessive cold. At the center of the tree is a dark circle called pith that is not connected to the age of the tree.
The redwood trees of coastal California are the tallest living things on earth. On redwood is 350 feet tall, 20 feet in diameter at its base, and around 2000 years old. Assume that the lower 50 feet of the tree form of the tree form a cylinder 20 feet in diameter and that all of the rings grew at the same rate.
How wide is each annual ring (springwood and summerwood combined)? Disregard the bark and pith in your calculations. Show your work. Write your answer in inches.
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Write 2016 in standard form.
Answer:
2.016 x 10^3
Standard form must have a single digit number x10 to the power of a number.
Here, we had to move the decimal point three times to the left, therefore it will be a power of positive three for the 10.
can you please help me with this
Answer:
235 cm²
Step-by-step explanation:
Area can be split into top and bottom rectangles.
Area = 11 x (14 - 9) + 9 x 20
= 11 x 5 + 180
= 55 + 180
= 235 cm²
please help me!!
solve each of the equations below for the given variable
a.
[tex] \frac{ 2n - 1}{19} = \frac{m}{10} [/tex]
b.
[tex] \sqrt{x + 2 = 5} [/tex]
Step-by-step explanation:
b.
[tex]( \sqrt{x + 2} ) { }^{2} =( 5) { }^{2} \\ \\x + 2 = 25 \\ x = 25 - 2 \\ x = 23 [/tex]
Suppose line B has the equation 3x + 6y = 12.
The line parallel to line B has a slope of
Convert to x in terms of y.
3x + 6y = 12
Divide by 3.
x + 3y = 4
Subtract x.
3y = -x + 4
Divide by 3.
y = (-1/3)x + 4
The slope is -1/3 here. A parallel line would have the same slope.
So the slope of the parallel line is -1/3
Hope this helps
Which of the following best describes the slope of
the line below?
A. Zero
B. Positive
C. Undefined
D. Negative
Answer:
Negative
Step-by-step explanation:
The slope is negative because as the x values increase, the y values decrease. If the line was going upward as the x values increase, it would be positive. If the line would be straight accross, it would be zero because the x values increase and the y values decrease.
Have an amazing day!!
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Answer
(b)
Factorise 6ac - 4ad
help me with this pls :)) i really need help :)
Hey there!
In order to factorise an expression, we need to factor out the greatest common factor (divide all the terms in the expression by the greatest common factor):
6ac-4ad
In this case, the greatest common factor is 2a.
Put it outside the parentheses:
2(3c-2d)
That's the answer.
Hope everything is clear.
Let me know if you have any questions!
#LearningDoesn'tEnd
:-)
A relation contains the points {(1, -4), (3, 2), (4, -3), (x, 7), (-4, 6)}.For which values of x will the relation be a function? Select ALL that apply.
A . -4
B. -3
C. 0
D. 3
E. 4
Answer:
th e answer is E. 4
Step-by-step explanation:
The author of the study claims that drivers who receive their licenses at 17
years of age are the least likely to commit a moving violation during the
first 8 months after receiving their license. Use the information in the table
to either support or refute the author's claim. Provide mathematical
justification for your answer.
Answer:
this is true I some cases but not all teens are the same
Step-by-step explanation:
Answer:
Refute/Disagree
Step-by-step explanation:
My answer(I did the test): I refute the authors claim. The chart clearly shows that at the end 16 year olds and 17 year olds are both at the same rate if likeness of committing a moving violation. The least likely to commit a moving violation during the first 8 months is the 16 year old and 6 month drivers. You can find a more accurate answer by adding up all the percentages for each age and then divide it by 8 (months), this number is the overall percentage for the 8 months.
Find the difference between (7+a) and (-7a+1)
[tex]Answer:[/tex]
The first equation is simply just 7 + [tex]number[/tex]
The second equation, however, is saying -7 times [tex]number[/tex] plus 1
A negative number times a positive number is always a negative number. The negatives cancel out.
What is the inverse of the conditional statement?
If a polygon has five angles, then it is a pentagon.
If a polygon is a pentagon, then it has five angles.
If a polygon is not a pentagon, then it does not have five angles.
If a polygon does not have five angles, then it is not a pentagon.
If a polygon has five angles, then it is not a pentagon.
(A.) If a polygon is a pentagon, then it has five angles.
The inverse of the conditional statement "If a polygon has five angles, then it is a pentagon" is "If a polygon does not have five angles, then it is not a pentagon."
Option C is the correct answer.
What is a pentagon?A pentagon is a polygon that has five sides and five angles.
The sides and angles of a pentagon are not all equal unless it is a regular pentagon.
A regular pentagon has five equal sides and five equal angles.
We have,
The inverse of a conditional statement is formed by negating both the hypothesis and the conclusion.
In this case, we negate the statement "a polygon has five angles" to "a polygon does not have five angles," and negate the statement "it is a pentagon" to "it is not a pentagon."
Thus,
The inverse of the conditional statement "If a polygon has five angles, then it is a pentagon" is "If a polygon does not have five angles, then it is not a pentagon."
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