Using proportion, the equivalent units of the following units are as follows:
6km = 3.73 miles2.5 L = 0.66 gallons 90 Ib = 40.82 kgHow to use proportion to find equivalent units?Using proportion,
1.60934 km = 1 miles
6 km = ?
cross multiply
distance(m) = 6 / 1.60934 = 3.7282364199 = 3.73 miles
1 litre = 0.264172 gallons
2.5 litres = ?
volume(gallons) = 2.5 × 0.264172 = 0.66 gallons
1 pounds = 0.453592 kg
90 pounds = ?
weight(kg) = 40.82328 = 40.82 kg
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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.
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A roof repairman charges a $60 consult fee, and then $45 per hour to complete repairs. if the homeowner pays a total of $195, how long was the repairman there? answers a: 2 hours b: 2.5 hours c:4 hours d: 3 hours
The time spent by the repairman there will be 3 hours so the correct answer is option D.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that:-
A roof repairman charges a $60 consult fee, and then $45 per hour to complete repairs. if the homeowner pays a total of $195.
The time will be calculated as:-
Total amount = $195
Now the fixed consulting cost will be $60 and will be deducted from the
total amount.
Variable cost = 195 - 60 = 135
The $45 per hour charge so for $145 the time will be:-
Time = 135 / 45
Time = 3 Hours
Therefore the time spent by the repairman there will be 3 hours so the correct answer is option D.
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Approximate the area under the curve y = x^2 from x = 0 to x = 3 using a Right Endpoint approximation with 6 subdivisions.
Will mark brainliest
Subdivide the interval [0, 3] into 6 subintervals of equal length, ∆x = (3 - 0)/6 = 1/2. Then the partition is
[tex]\left[0,\dfrac12\right] \cup \left[\dfrac12,1\right] \cup \left[1,\dfrac32\right] \cup \cdots \cup \left[\dfrac52,3\right][/tex]
The right endpoint of the [tex]i[/tex]-th subinterval is
[tex]r_i = \dfrac12 + (i-1)\times\dfrac12 = \dfrac i2[/tex]
with [tex]i\in\{1,2,3,\ldots,6\}[/tex].
Then the area under the [tex]y=x^2[/tex] on the interval [0, 3] is approximately
[tex]\displaystyle \int_0^3 x^2 \, dx \approx \sum_{i=1}^6 (r_i)^2 \Delta x = \frac18 \sum_{i=1}^6 i^2[/tex]
Recall that
[tex]\displaystyle \sum_{n=1}^N n^2 = \frac{N(N+1)(2N+1)}6[/tex]
Then the approximate value of the area is
[tex]\displaystyle \int_0^3 x^2 \, dx \approx \frac{6\times7\times13}{48} = \boxed{\frac{91}8}[/tex]
The actual value of the area is 9, so this approximation is an overestimation, as is always the case when using a right endpoint sum for an increasing function.
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?
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.
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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]
Colin walked a distance of 15m in 6 hours. Work out Collin's average speed. Give your answer in miles per hour
2.5 miles/hour
Simply 15/6
Answer:
Colin walks an average speed of 2.5 miles per hour.
Step-by-step explanation:
15/6= 5 miles/2 hours
2.5
This image of a physics problem shows a block resting on a ramp, . ∠P is the angle between the ramp and the horizontal, and is oriented vertically. Which quantity is equal to cos W?
A. sin p
b. cos p
c. 1 - sin p
d. 1 - cos p
Based on the image description, the quantity that is equal to cos W is sin P.
What is the image about?The image is known to be showing an object on a ramp. Based on it, we can therefore take the angle a to the complementary angle of angle w.
Note that the angle w and angle b are said to be the same via alternate interior angles. Therefore, the quantity that is equal to cos W is sin P.
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Simplify x^5 •x^2 • x
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
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.
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
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!!!
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!! :)
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
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.
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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|
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Answer:
I believe the answer is C. F(x)= 1/3|x|
Step-by-step explanation:
i hope this helps.
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
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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
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]
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
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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
An adult male cheetah runs at a speed of 26 mph. That is 30% faster than his average last month. How fast did the male cheetah run last month?
Sadie makes 1.5 liters of iced tea. She pours of a liter into a pitcher to take to her neighbor. Her sister drinks of the remaining iced tea. How much tea does Sadie’s sister drink?
Answer:
20 mph
Step-by-step explanation:
First problem:
The new speed is 26 mph.
The old speed was x.
The new speed is 30% higher than the old speed.
1.3x = 26
x = 20
Answer: 20 mph
Second problem:
A number, perhaps a percent or a fraction, is missing from the problem.
Can someone please teach me how to do this? You can please do like 2 questions and please explain exactly how you got the answers so I can do the rest myself. please
All of these questions require one thing: trigonometric functions.
There are 3 main trigonometric functions, which can only be used on right triangles: sine, cosine, and tangent.
Sine = opposite / hypotenuse
Cosine = adjacent / hypotenuse
Tangent = opposite / adjacent
When trying to figure out what function to use, we always start by looking from the angle. Take problem a, for example. Looking from angle E, of which the value is not given, we have the side opposite and the side adjacent. Therefore, we should use the tangent function.
---The hypotenuse is always the longest side of the triangle. It is never considered the opposite or adjacent side.
Let's set up our function with the given information from problem a.
tan(x) = 9.7 / 5.2
---The tangent of an unknown angle is equal to the quotient of the opposite side and the adjacent side.
Now, solving for the value of x will require a calculator. We'll need to use what's called an inverse trigonometric function. Most calculators have these directly above the regular trigonometric functions, and the inverse functions are accessed using a "second" key.
---Ensure that your calculator is in degrees, not radians!
x = tan^-1(9.7 / 5.2)
x = 61.805 = 62 degrees
Next, let's take a look at problem b. This time, we're solving for a side length instead of an angle. But, we're still going to start by looking from our angle.
Looking from the 38 degree angle, we are given the adjacent side and an unknown hypotenuse. Therefore, we should use the cosine function.
cosine(38) = 53.1 / r
---The cosine of a 38 degree angle is equal to the quotient of 53.1 and an unknown hypotenuse, r.
Use your algebra skills to isolate the variable r.
r * cosine(38) = 53.1
r = 53.1 / cosine(38)
---From here, all you need to do is plug this into your calculator. Since we are solving for a side length (and given an angle), we are just using the regular trigonometric function buttons on the calculator.
r = 67.385 = 67.4 units
Hope this helps!
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.
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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
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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
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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.
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An ongoing promotion at a department store gives customers 20\%20%20, percent off the portion of their bill that is over \$100$100dollar sign, 100. Ruby's total bill at the department store after the promotion has been applied is \$250$250dollar sign, 250. If xxx represents the amount of money Ruby would have spent on the same purchase at the department store without the promotion, which of the following equations best models the situation?
The equation best models the situation 100 + 0.8(x - 100) = 250.
The correct option is (D)
What is equation?
An equation in math is an equality relationship between two expressions written on both sides of the equal to sign.
The complete question is:
An ongoing promotion at a department store gives customers 20% off the portion of their bill that is over $100. Ruby's total bill at the department store after the promotion has been applied is $250. If x represents the amount of money Ruby would have spent on the same purchase at the department store without the promotion, which of the following equations best models the situation?
A. 0.2x + 100 = 250
B. 0.8x + 100 = 250
C. 100 + 0.2(x - 100) = 250
D. 100 + 0.8(x - 100) = 250
Given:
Department store gives 20 % off the portion of the bill that is over 100 dollars.
Total bill = 250
let x is the amount of money she would have spent without the promotion.
Then, cost after discount applies = 0.8 ( x - 100 ).
Hence, the equation is 100 + 0.8 (x - 100) = 250.
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