A particular beach is eroding at a rate of 4 centimeters per year. A realtor converts this rate to millimeters per day. Which expression, when evaluated, results in the correct units and numerical value?
The correct expression is : [tex]\frac{4 cm }{1 year}[/tex] x [tex]\frac{10 mm}{1 cm}[/tex] x [tex]\frac{ 1 year }{365 days}[/tex]
What is the correct expression?
The first step is to convert year to days.
1 year = 365 days
The next step is to convert cm to mm.
1cm = 10 mm
4 x 10 = 40mm
Now, divide 40 mm by 365 days
Here is the complete question. To learn more about division, please check: https://brainly.com/question/13281206
#SPJ1
NEED HELP ASAPP PLEASE!!
Each step of the proof are:
a || b∠1 ≅ ∠5∠1 ≅ ∠5∠5 ≅ ∠7∠5 ≅ ∠7∠1 ≅ ∠7∠1 ≅ ∠7How to complete the proof?The given parameter is:
Lines a and b are parallel.
This is represented as; a || b
Corresponding angles are equal.
∠1 and ∠5 are corresponding angles.
So, we have: ∠1 ≅ ∠5
Also, they are congruent.
So, we have ∠1 ≅ ∠5
Vertical angles are equal.
∠5 and ∠7 are vertical angles.
So, we have: ∠5 ≅ ∠7
Also, they are congruent.
So, we have ∠5 ≅ ∠7
According to the transitive property;
If ∠1 ≅ ∠5 and ∠5 ≅ ∠7, then ∠1 ≅ ∠7
Hence, it has been proved that ∠1 ≅ ∠7
Read more about congruent angles at:
https://brainly.com/question/1675117
#SPJ1
hey god its me again
The statement D is false that No irrational number is rational.
What are real numbers?The set of real numbers includes integers, rational numbers, and irrational numbers.
This implies that all irrational numbers and integers are also real numbers.
Thus, statements A and B are correct.
Rational numbers are numbers that can be written as the division of two integers, which thus also include all integers.
The set of irrational numbers then contains all real numbers that are NOT rational numbers
Therefore, the set of irrational numbers does not include integers, which implies that statement D is false.
Learn more about numbers;
https://brainly.com/question/17429689
#SPJ1
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
I'm having a hard time doing inequalities, and I really need help with this question. Any help will be appreciated.
Thanks
The solution to the given compound inequality 2x - 3 < x + 2 ≤ 3x + 5 is 5 > x ≥ -3/2
Compound inequality2x - 3 < x + 2 ≤ 3x + 5
solve differently
2x - 3 < x + 2
2x - x < 2 + 3
x < 5
x + 2 ≤ 3x + 5
x - 3x ≤ 5 - 2
-2x ≤ 3
x ≥ 3/-2
x ≥ -3/2
Therefore, the solution of the compound inequality is 5 > x ≥ -3/2
Learn more about compound inequality:
https://brainly.com/question/234674
#SPJ1
Simplify x^5 •x^2 • x
What trigonometric ratio would you use to find the distance from the base of the tower of your keys ? Identify your choice, then calculate the distance
The choice trigonometric ratio is tangent and the distance is 3. 98 meters.
How to determine the trigonometric ratioThe given angle is 86
The opposite side is given as 57 meters
The distance is in the adjacent
Thus, trigonometric ratio to use is the tangent
Tangent = opposite/ adjacent
We have,
tan 86 = 57/x
14. 300 = 57/x
x = 57/ 14. 300
x = 3.i 98 meters
Thus, the choice trigonometric ratio is tangent and the distance is 3. 98 meters.
Learn more about tangent here:
https://brainly.com/question/8120556
#SPJ1
If the price of an apple is Rs. 40, find the number of apples that can be brought for Rs. 200.
Answer:
5
Step-by-step explanation:
Divide 200 by 40 to get 5.
Answer:
ig 5 Apples can be Brought with Rs. 200
Step-by-step explanation:
Rs. 40 = 1 apple
Rs. 200 = ? Apple
therefore 5 apples can be brought...
Hope it Helps!!!
if the formula for number of people in bus is p=50b, where k= 50 people per bus show me the formula for number of buses per person ?
The formula for number of buses per person is b = p/50
This is a way of using a variable to represent other variables in a function.
Given the expression
p = kb
If k = 50, then;
p = 50b
Make b the subject of the formula
p/50 = 50b/50
b = p/50
Hence the formula for number of buses per person is b = p/50
Learn more on subject of formula here: https://brainly.com/question/21140562
#SPJ1
If 2 inches is 5 centimeters, which of following is correct?
Unit conversion is a way of converting some common units into another without changing their real value. The correct option is D.
What is unit conversion?Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimeter is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.
The complete question is mentioned in the below image.
Given that 2 inches are 5 centimeters. Therefore, the ratio of an inch to centimeters are,
2 inches = 5 centimeters
1 inch = 5/2 centimetes
Now, if using the ratio, the measurements are converted then,
A.) 7 inches = 7 × (5/2)centimeters = 17.5 centimetes
B.) 5 inches = 5 × (5/2)centimeters = 12.5 centimetes
C.) 8 inches = 8 × (5/2)centimeters = 20 centimetes
D.) 3 inches = 3 × (5/2)centimeters = 7.5 centimetes
As it can be observed that the correct statement is D If 2 inches is 5 centimeters, then 3 inches is 7.5 centimeters. Hence, the correct option is D.
Learn more about Units conversion:
https://brainly.com/question/4736731
#SPJ1
Select the correct answer.
Which graph best models the inequality?
y ≤ -2/5x + 2
Answer:
it would look like this
Step-by-step explanation:
I ne subject of the formula below iS y.
y = 4x + 3
Rearrange the formula to make x the subject.
Answer:
x=(y-3)/4
Step-by-step explanation:
y=4x+3
y-3=4x
x=(y-3)/4
Someone please help with this !!!
Answer:
[tex]\dfrac 5{13}[/tex]
Step-by-step explanation:
[tex]\sin \theta =\dfrac{\text{Perpendicular}}{\text{Hypotenuse}} = \dfrac{5}{\sqrt{5^2 +12^2}} = \dfrac 5{\sqrt{169}} = \dfrac 5{13}[/tex]
What is x^3-2x^2-4x-1 divided by X+1?
Answer:
x^2-3x-1
Step-by-step explanation:
So we have the equation:
x^3-2x^2-4x-1/x+1
First factor the equation:
(x+1)(x^2-3x-1)/x+1
Then cancel the common factor: x+1 to solve the equation:
x^2-3x-1
One root of f (x) = x cubed 10 x squared minus 25 x minus 250 is x = –10. what are all the roots of the function? use the remainder theorem.
Answer:
x= -10 , x= -5 , x=5
Step-by-step explanation:
we are given function as
x^3+10x^2-25x-250
We are given one of zero is x=-10
we can find all possible factors of 250
so, we will check zeros at x=-5 and x=5
At x=-5:
we can plug x=-5
At x=5:
we can plug x=5
So, other zeros are
x=-5 and x=5
All zeros are
x=-10 , x=-5 , x=5
Which expression is equivalent to 36/25?
A=6/25
B=5/6
C=6/5
D=36/25
Answer:
[tex]\huge\boxed{\sf Option \ D}[/tex]
Step-by-step explanation:
Given expression:[tex]\displaystyle =\frac{36}{25} \\\\[/tex]
36 and 25 have no common factor as:
36 = 2 × 2 × 3 × 3and
25 = 5 × 5So, No factor can be cancelled out and thus, the expression can not be simplified further. So, It will remain the same.
[tex]\rule[225]{225}{2}[/tex]
Answer:
d
Step-by-step explanation:
i did it
Which set of ordered pairs represents a line that is perpendicular to the given set:
(12,3) (9.4)?
Using linear function concepts, it is found that a set of ordered pairs with a slope of 3 is perpendicular to the set (12,3), (9,4).
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.If two lines are perpendicular, the multiplication of their slopes is of -1. The set (12,3), (9,4) has the slope given by:
m = (4 - 3)/(9 - 12) = -1/3.
Hence, for the perpendicular set:
[tex]-\frac{1}{3}m = -1[/tex]
m = 3.
More can be learned about linear function concepts at https://brainly.com/question/24808124
#SPJ1
7d + 46 what is the answer
Answer:
i think the answer would be 53?
Step-by-step explanation:
i could be wrong
Step-by-step explanation:
the answer is d= -46/-7
or in simplest form
d= 6.57
hope this is correct...
Ex. 11 An apple computer has a retail price of $1000. Jim's House of Electronics is having a "20%-off sale",
in which all items are discounted to 20% less than retail. Allan has a coupon for 30% off the sale price of
any apple computer. How much does Allan have to pay for a new computer?
Suppose you did a survey of male shoes size and the mean of that survey was size 10 with a standard deviation of 1.5. What is the Z-score of a size 8.5?
Answer:
-1
Step-by-step explanation:
From 10 to 8.5 is - 1.5
this is -1 S.D. below the mean
(8.5 - 10)/1.5 = -1
Which expression is equivalent to 3x^-6y^-3 / 15x^2y^10? Assume x ≠ 0, y ≠ 0
[tex]\textsf {Simplifying the exponents :}[/tex]
[tex]\mathsf {\frac{3x^{-6}y^{-3}}{15x^{2}y^{10}}}[/tex]
[tex]\mathsf {\frac{1}{5x^{(2+6)}y^{(10+3)}}}[/tex]
[tex]\mathsf {\frac{1}{5x^{8}y^{13}}}[/tex]
A coin toss is used to determine which team will receive the ball at the beginning of a football game. The Cougars always choose tails in the toss. What are the odds in favor of the Cougars losing the toss in exactly two of three games?
3:5
3:8
5:3
8:3
The odds in favor of the Cougars losing the toss in exactly two of three games is 3:8 option second is correct.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have:
A coin toss is used to determine which team will receive the ball at the beginning of a football game.
The Cougars always choose tails in the toss.
There will total of 8 cases and in 8 cases there will be three cases in which exactly two heads will come so,
3:8
The cases = {TTT, TTH, THT, HTT, HHT, HTH, HHT, HHH}
Thus, the odds in favor of the Cougars losing the toss in exactly two of three games is 3:8 option second is correct.
Learn more about the probability here:
brainly.com/question/11234923
#SPJ1
Which of the following statements are true?
I. Each white blood cell contains millions of hemoglobin molecules.
II. In a sample of blood, there are more red blood cells than white blood cells.
III. HIV destroys red blood cells.
IV. All blood cells come from one pool of stem cells.
The correct answer is option B that is Each white blood cell contains millions of haemoglobin molecules. All blood cells come from one pool of stem cells.
The complete question is given below:-
Which of the following statements are true?
I. Each white blood cell contains millions of haemoglobin molecules.
II. In a sample of blood, there are more red blood cells than white blood cells.
III. HIV destroys red blood cells.
IV. All blood cells come from one pool of stem cells.
A. II and IV only
B. I and IV only
C. II and III only
D. I, III, and IV only
E. I, II, and IV only
What are blood cells?The most prevalent form of blood cell and the main source of oxygen for the bodily tissues of vertebrates, red blood cells are also known as red cells, red blood corpuscles, haematids, erythroid cells, or erythrocytes. They circulate through the blood through the circulatory system.
Therefore the correct answer is option B that is Each white blood cell contains millions of haemoglobin molecules. All blood cells come from one pool of stem cells.
To know more about blood cells follow
https://brainly.com/question/907662
#SPJ1
What is the range of possible sizes for side x?
If x is the largest side :
x < 4.1 + 1.3x < 5.4If 4.1 is the greatest side :
4.1 < x + 1.3x > 2.8Range of possible sizes for side 'x' :
2.8 < x < 5.418
1 point
The scatter plot shown below would best be modeled by a line of best fit.
True
False
G
0
The statement about using the line of best fit for the given scatter plot is; False
How to interpret a scatter plot?When we have a scatter plot, it is always best to look for the line of best fit or curve of best fit depending on the nature of the variation of the plotted points.
Now, from the scatter plot image attached, we can see that the points are already looking like a curved plot form and so what we will need her will be a curve of best fit and not a line of best fit plot and as such the statement about using a line of best fit plot is false.
Read more about Scatter Plot at; https://brainly.com/question/6592115
#SPJ1
275 is divisible by ,2,3,4,5,6,8,9,10,11 yes or no
Answer:
Yes
Step-by-step explanation:
Answer:
2: no
3: no
4: no
5: yes
6: no
8: no
9: no
10: no
11: yes
Step-by-step explanation:
there are some simple divisibility rules that we can utilize here:
a number is divisible by __ if...
2: ends in [last digit] 0, 2, 4, 6, 8
so 275 is not divisible by 2
3: sum of digits is 3
2 + 7 + 5 = 14 [14 is not divisible by 3]
so 275 is not divisible by 3
4: last two digits are divisible by 4
75 is not divisible by 4
so 275 is not divisible by 4
5: last digit is 0 or 5
so 275 is divisible by 5
6: number is divisible by both 2 and 3
we know that 175 is not divisible by 2 or 3, so 275 is not divisble by 6
8: last three digits are divisible by 8
>> we also know that any number that 8 goes into, 4 also goes into [not always the other way around], meaning that because 175 is not divisible by 4, it must not be divisible by 8
so, 275 is not divisible by 8
9: sum of digits is divisible by 9
>> we also know that 9 only can go into numbers that 3 can go into, so because 175 is not divisible by 3, it must not be divisible by 9
so, 275 is not divisible by 9
10: last digit is 0
so, 275 is not divisible by 10
11 is a bit complicated:
sum of digit in odd places and sum of digit in even places has a difference is divisible by 11 [or is 0]
2 7 5
odd places: 2, 5 (2 + 5 = 7)
even places: 7 (7 = 7)
difference between 7 and 7 is 0 (7-7 = 0),
so, 275 is divisible by 11
hope this helps!! :)
Find all solutions to the equation x3 + 100x + 8x2 = –800. –10, –8, 10 –10, 8, 10 8, –10i, 10i –8, –10i, 10i
All the solution of the equation x³ + 8x² + 100x + 800 = 0 will be 10i, -10i, and -8. Then the correct option is D.
What is a factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The equation is given below.
x³ + 8x² + 100x = -800
x³ + 8x² + 100x + 800 = 0
Then the factor of the equation will be
x³ + 8x² + 100x + 800 = 0
x² (x + 8) + 100(x + 8) = 0
(x² + 100)(x + 8) = 0
Then all the solution of the equation will be
x = 10i, -10i, and -8.
Then the correct option is D.
More about the factorization link is given below.
https://brainly.com/question/6810544
#SPJ1
Answer:
d
Step-by-step explanation:
find the volume of the composite figure & round to the nearest tenth if needed!!
please answer correctly...
25 points!!
Answer:
(2*2*1.5*1/3)+(2*1.5*4)= 14
Step-by-step explanation:
To find the area of a pyramid, you use the equation of 1/3 *lwh. When we place the values in there, we get 2*2*1.5*1/3, which is equal to 2. Then we solve the bottom part. Since it is a rectangular prism, we use the equation of lwh. When we insert the values, we get 2*1.5*4, which is equal to 12. Now, we take these two values of 2 and 12 and we combine them, giving us our final answer of 14.
1. Use the given conditions to write an equation for the line in point-slope form and general form. Passing through (−4,4) and parallel to the line whose equation is 7x−9y−8=0 Question content area bottom Part 1 The equation of the line in point-slope form is enter your response here. (Type an equation. Use integers or fractions for any numbers in the equation.) Part 2 The equation of the line in general form is enter your response here=0. (Type an expression using x and y as the variables. Simplify your answer. Use integers or fractions for any numbers in the expression.)
1) The equation of the line passing through (−4, 4) and parallel to the line whose equation is 7x − 9y − 8 = 0 is; y - 4 = ⁷/₉(x + 4)
How to find the equation of a line?
1) We are told that the line passes through (−4, 4) and is parallel to the line whose equation is 7x − 9y − 8 = 0
Thus, let us rearrange to find the slope.
7x − 9y − 8 = 0
⇒ 9y = 7x - 8
⇒ y = ⁷/₉x - ⁸/₉
Slope; m = ⁷/₉
Now, the point slope formula is;
y − y₁ = m(x − x₁)
where;
y₁ is the y-coordinate
x₁ is the x-coordinate
m is the slope
Thus the line Passing through (−4,4) is;
y - 4 = ⁷/₉(x + 4)
2) The equation in general form is;
y = 4 + ⁷/₉x + ²⁸/₉
y = ⁷/₉x + ⁶⁴/₉
Read more about equation of a line at; https://brainly.com/question/13763238
#SPJ1
Which absolute value function, when graphed, will be wider than the graph of the parent function, f(x) = |x|?
f(x) = |x| + 3
f(x) = |x − 6|
f(x) = |x|
f(x) = 9|x|
There is no absolute value function when graphed, will be wider than the graph of the parent function f(x) = |x|
What is an absolute value function?An absolute value function is a function such that,
[tex]|x|=-1 when x\geq 0 and |x|=1 when x\leq 0[/tex]
For the given example,
We have been given a parent function f(x) = |x|
We need to find the absolute value function, when graphed, will be wider than the graph of the parent function.
Consider the graph of all absolute value functions.
The graph of f(x) = |x| + 3 is represented blue color.
The graph of f(x) = |x − 6| is represented green color.
The graph of f(x) = |x| is represented red color.
The graph of f(x) = 9|x| is represented violet color.
From this graph, we can observe that,
f(x) = |x| + 3 is as wise as the parent absolute value function f(x) = |x| translated up by 3 units.
Similarly, the function f(x) = |x - 6| is as wise as the parent absolute value function f(x) = |x| translated right by 6 units.
This means, there is no absolute value function when graphed, which will be wider than the graph of the parent function f(x) = |x|
Learn more about the absolute value function here:
brainly.com/question/10664936
#SPJ1
Answer:
I believe the answer is C. F(x)= 1/3|x|
Step-by-step explanation:
i hope this helps.
