Answers
Answer:
a) 5.85
b) 0.0004
Step-by-step explanation:
[tex]a) \: \: \sqrt{ \frac{ {4.5}^{2} + {10.8}^{2} }{4} } \\ \\ = \sqrt{ \frac{ 20.25 + 116.64 }{4} } \\ \\ = \sqrt{ \frac{136.89}{4} } \\ \\ = \sqrt{34.2225} \\ \\ = 5.85 \\ \\ b) \: \: \frac{1}{(2 \times {10}^{5} ) + (5 \times {10}^{4}) } \\ \\ = \frac{1}{(20\times {10}^{4} ) + (5 \times {10}^{4}) } \\ \\ = \frac{1}{(20 + 5) \times {10}^{4} } \\ \\ = \frac{1}{25 \times {10}^{4} } \\ \\ = 0.04 \times {10}^{ - 4} \\ \\ = 0.0004[/tex]
Related Questions
PLS ANSWER ASAP
There are 567 calories in nine ounces of a certain ice cream. How many calories are there in three pounds?
Answers
Before we start, we gotta acknowledge that one pound is 16 oz.
Okay, so to solve this we need to make a ratio. We know there are 567 calories for every 9 oz. That'll look like 567/9. And to compare this to pounds we have to convert those three pounds to ounces by multiplying: 3*16 = 48. So now we can grab that ratio and use cross multiplication to find the answer:
567/9 = x/48
9x = 567*48
9x = 27216
x = 3024
So there are 3024 calories in three pounds of the ice cream.
There are 3024 calories in a certain type of ice cream.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
We know one pound is equal to 16 ounces.
So, 9 ounces is equal to 9/16 pounds.
Given, There are 567 calories in nine ounces of certain ice cream.
So, There are 567 calories in (9/16) pounds of certain ice cream.
Or, (567)/(9/16).
= 567×(16/9).
= 1008 calories in one pound.
Therefore, There is 1008×3 = 3024 calories in 3 pounds of ice cream.
learn more about the unitary method here :
https://brainly.com/question/28276953
#SPJ2
I have pp how meany incehes is it ? A(5in B(100in C(50in D(10000in
Answers
Answer:
Non of the Above
Step-by-step explanation:
You are an Alpha male its atleast 2500ft
What is the value of the expression, written in standard form?
Answers
We are told to the write the given expression in standard form ;
[tex]{:\implies \quad \sf \dfrac{6.6\times 10^{-2}}{3.3\times 10^{-4}}}[/tex]
Rewrite as ;
[tex]{:\implies \quad \sf \dfrac{66\times 10\times 10^{-2}}{33\times 10\times 10^{-4}}}[/tex]
[tex]{:\implies \quad \sf \dfrac{2\times 10^{-2}}{10^{-4}}}[/tex]
[tex]{:\implies \quad \sf 2\times \dfrac{10^{-2}}{10^{-4}}}[/tex]
[tex]{:\implies \quad \sf 2\times 10^{-2-(4)}\quad \qquad \bigg\{\because \dfrac{a^m}{a^n}=a^{m-n}\bigg\}}[/tex]
[tex]{:\implies \quad \sf 2\times 10^{-2+4}}[/tex]
[tex]{:\implies \quad \boxed{\bf{2\times 10^{2}}}}[/tex]
This is the required answer
HELP ASAP MY SIS NEEDS HELP AGAIN
Answers
Answer:
$128.10
Step-by-step explanation: (8 * 16.95) - 7.50(135.6) - 7.50128.1
Hopefully this helps you if you don't mind clicking brainliest :)
Solve the follwing please:
Answers
[tex]\dfrac{(-9-11)/(-4)}{-7^2+(11 \times 2^2)}\\\\=\dfrac{(-20)/(-4)}{-49+44}\\\\=\dfrac{5}{-5}\\\\=-1[/tex]
The circumference of a dinner plate is 19.4 cm. What is its radius ?
Answers
We are given that:
Circumference = 19.4 cm
Formula:
2πr = Circumference
Rewrite the equation:
⇒ 2πr = Circumference = 19.4 cm⇒ 2πr = 19.4 cmThe "r" variable represents the radius of the circle. Thus, we need to isolate it on one side to determine the radius. This can be done with the four mathematical operations (+ - × ÷). Since the "÷" is included, we can divide both sides by 2π to isolate the "r" variable.
Divide both sides by 2π:
⇒ 2πr/2π = 19.4 cm/2π⇒ r = 9.7 cm/πSubstitute the radius as 22/7:
⇒ r = 9.7 cm ÷ 22/7⇒ r = 9.7 cm x 7/22⇒ r = 67.9/22 cmHow would I solve this?
Answers
Answer:
second one
s/(2πh) = r
Step-by-step explanation:
You want to put the unknown value you are solving on 1 side and rest on the other side. In this case, you have to have r alone on one side.
s=2πrh
Since they are all multiplied with r, you divide them all on both sides to send them to other side.
s/(2πh) = 2πrh/ (2πh)
cancel out right side and it leaves r alone.
s/(2πh) = r
why do we need to xompute for the circumference?
Answers
Finding the circumference of an object is important in the following scenarios: Whether you want to buy a bra, trousers, or sweater, you need to know the distance around your waist or chest.
Find the center, vertices, and foci of the ellipse with the given equation. (x+4)2/400 + (y+3)2/144 = 1
Answers
[tex]\textit{ellipse, horizontal major axis} \\\\ \cfrac{(x- h)^2}{ a^2}+\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2- b ^2} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\cfrac{(x+4)^2}{400}~~ + ~~\cfrac{(y+3)^2}{144}~~ = ~~1\implies \cfrac{[x-(-4)]^2}{20^2}~~ + ~~\cfrac{[y-(-3)]^2}{12^2}~~ = ~~1 \\\\\\ \begin{cases} h=-4\\ k=-3\\ a=20\\ b=12 \end{cases}\qquad \qquad c=\sqrt{20^2-12^2}\implies c=\sqrt{256}\implies \boxed{c=16} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{center}{(-4,-3)}\qquad vertices \begin{cases} (\stackrel{-4-20}{-24}~~,~~-3)\\\\ (\stackrel{-4+20}{16}~~,~~-3) \end{cases}\qquad foci \begin{cases} (\stackrel{-4-16}{-20}~~,~~-3)\\\\ (\stackrel{-4+16}{12}~~,~~-3) \end{cases}[/tex]
Which fraction is the smallest?
A. 1/10
B. 1/4
C. 2/5
D. 2/9
Answers
Biggest number and smallest
Answer:
1/10 is smallest. With fractions, as the bottom number(denominator) gets bigger, the fraction is actually getting smaller.
While studying abroad, Donna wants to make 3 batches of her mother's enchilada recipe to feed her classmates. The recipe calls for 22 oz of cheese for each
batch. The local market sells cheese by the gram. Howmany grams of cheese should Donna buy?
Use 1 oz = 28 g and do not round any computations.
Answers
Answer:
1848 grams of cheese.
Step-by-step explanation:
1 oz = 28 g.
28 x 22 = 616 g
616 g x 3 = 1848 g
Donna should buy 1848 grams of cheese.
If u(x) = x5 – x4 x2 and v(x) = –x2, which expression is equivalent to (startfraction u over v endfraction) (x)? x3 – x2 –x3 x2 –x3 x2 – 1 x3 – x2 1
Answers
An expression is defined as a set of numbers, variables, and mathematical operations. The expression that can represent u/v is -x³+x²-1.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The expression which can represent the u/v can be found in the following manner,
[tex]\dfrac {u}{v} = \dfrac{x^5-x^4+x^2}{-x^2}\\\\\dfrac {u}{v} = \dfrac{x^2(x^3-x^2+1)}{-x^2}\\\\\dfrac {u}{v} = \dfrac{(x^3-x^2+1)}{-1}\\\\\dfrac {u}{v} = -x^3+x^2-1[/tex]
Thus, the expression that can represent u/v is -x³+x²-1.
Learn more about Expression:
https://brainly.com/question/13947055
Answer:
C
Step-by-step explanation:
help pls !! ♡
6. In the diagram of circle O, tangent PB is drawn as is secant PAC. We wish to prove the Secant/Tangent Length Theorem, i.e. PA·PC = PB2. (a) Explain why APAB is similar to APBC (i.e. explain which two angles pairs must be congruent and why). O® A P B (6) Set up a proportion involving PA, PB, and PC based on the similar triangles and rewrite it in product form. Draw the two similar triangles separately and in the same orientation to help. COMMON CORE GEOMETRY, UNIT #8 - CIRCLE GEOMETRY - LESSON #8 eMATHINSTRUCTION, RED HOOK, NY 12571, © 2018
Answers
The lines PC and PB are the secant and the tangent lines of the circle, while the proportion involving PA, PB, and PC is PA * PC = PB²
Why the triangles are similar triangles?The triangles are given as:
Δ PAB and Δ PBC
Both triangles have a common point at P.
This means that:
∠P ≅ ∠P --- reflexive property of congruent angles
Also, the angles at C and B are congruent:
This is represented as:
∠B ≅ ∠C
Both triangles have a common side length PB.
Hence, the triangles are similar by ASA similarity theorem
The proportion involving PA, PB, and PCThe similarity theorem in (a) is the ASA similarity theorem.
This means that:
PA : PB = PB : PC
Express as fraction
[tex]\frac{PA}{PB} = \frac{PB}{PC}[/tex]
Cross multiply the expressions
PA * PC = PB * PB
Evaluate the product
PA * PC = PB²
Hence, the proportion involving PA, PB, and PC is PA * PC = PB²
Read more about secant and tangent lines at:
https://brainly.com/question/14962681
#SPJ1
9. What is the volume of the triangular prism
below?
5cm
3cm
4cm
3cm
Answers
Area of the prism
= (4x3)/2 x 5
= 30 cm^3
NO BOTS!! What’s The Answer of this math image?
Answers
Answer:
In part B the answer is 71.
Step-by-step explanation:
In the 3 lines the 2 uppermost and downer most lines look like they make up a 90 degree angle.. since the first one is 19 all we have to do is 90 - 19 which equals 71. Sorry I do not know the answer to part A :(
A person standing at the edge of a cliff 48 feet tall throws a ball up and just off the cliff with an initial upward velocity of 8 feet per second. What is the maximum height of the ball? When will the ball hit the ground?
The ball will be at its highest at ___
feet.
The ball will hit the ground at t =___
second(s)
Answers
Check the picture below.
since the cliff is 48 feet tall, thus that its initial height.
[tex]~~~~~~\textit{initial velocity in feet} \\\\ h(t) = -16t^2+v_ot+h_o \quad \begin{cases} v_o=\textit{initial velocity}&8\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}&48\\ \qquad \textit{of the object}\\ h=\textit{object's height}&\\ \qquad \textit{at "t" seconds} \end{cases} \\\\\\ h(t)=-16t^2+8t+48[/tex]
well, as you can see in the picture, its maximum is at its vertex, so
[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-16}x^2\stackrel{\stackrel{b}{\downarrow }}{+8}x\stackrel{\stackrel{c}{\downarrow }}{+48} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ 8}{2(-16)}~~~~ ,~~~~ 48-\cfrac{ (8)^2}{4(-16)}\right)\implies \left(\cfrac{1}{4}~~,~~48-\cfrac{64}{-64} \right)[/tex]
[tex]\left( \frac{1}{4}~~,~~48+1 \right)\implies \stackrel{\textit{the ball is at highest}}{\left(\frac{1}{4}~~,~~\stackrel{\downarrow }{49} \right)}[/tex]
well, it hits the ground when y = 0.
[tex]\stackrel{h(t)}{0}=-16t^2+8t+48\implies 0=8(-2t^2+t+6)\implies 2t^2-t-6=0 \\\\\\ (2t+3)(t-2)=0\implies t= \begin{cases} -\frac{3}{2}\\\\ 2~~\textit{\large \checkmark} \end{cases}[/tex]
notice, we didn't use the negative value, since "t" must be greater than 0.
You have some money in your wallet. You don't know the exact amount, but you think you have 60 dollars give or take 15 dollars. What is the difference between the largest and smallest weight of oranges in kilograms you can buy, if oranges cost 5 dollars/kg.
Answers
Answer:
The least amount is 75 dollars.
The biggest amount is 125 dollars
Step-by-step explanation:
The absolute value function will help us determine a range of possible values since we do not know the exact amount of money.
Defining the function.
Let x be the exact amount of money in my pocket, we can define the equation
And we know that the difference between the exact amount of money with 100 dollars must be either 25 dollars more than what we estimated, or 25 dollars less than the estimation. So we can write:
We have a difference inside an absolute value, since we know the difference must be either +25 or -25.
Solving for x
Using the definition of absolute value we have
So if the inside of the absolute value is positive we have the first line of the piece-wise function, that is
Solving for x give us
If the inside of the absolute value is negative we have to use the second line of the piece-wise function definition
Solving for x give us
So the least amount of money in my pocket is 75 dollars and the biggest amount is 125 dollars.
trigonometric angles without a calculator
Answers
[tex]~~~~~~~\cos x = \dfrac{ \text{Base}}{\text{Hypotenuse}}\\ \\\\\implies \cos x= \dfrac{9}{18}\\\\\\\implies \cos x = \dfrac 12\\\\\\\implies x= \cos^{-1} \left( \dfrac 12\right)\\ \\ \\\implies x = 60^{\circ}[/tex]
PLEAASSEE HELP 15 POINTS!!!!
Answers
Answer:
Step-by-step explanation:
Remark
The purple lines cross but once. A solution to a set of functions counts how many times the functions cross. Since these two lines cross but once, there is only 1 solution.
If the lines are parallel, they never cross. That means there are no solutions.
If you are given 2 equations and one is the same line as the second one, then there are an infinite number of solutions.
Hi!
Solutions to systems of equations are only where the lines intersect at a point.
That means that if the lines cross over at any point, they have a solution. Lines that don't have a solution -- parallel lines -- do not cross over.
In this graph, we can see that it crosses over at only one point.
That means that this system of equations has exactly one solution.
For a similar problem, see:
https://brainly.com/question/13956905
How many solutions are there for the system of equations shown on the graph?
A. No solution
B. One solution
C. Two solutions
D. Infinitely many solutions
15 POINTS !!!!!
Answers
Answer:
D
Step-by-step explanation:
D because they are on the same line and that would make them infinite
Ms. Gartland bought x number of shirts for the new members of her chorus. The cost for x number of shirt, including $3.99 shipping was $77.49 each shirt cost 12.25 there was no sales tax on this purchase. which equation could be used to find?
Answers
Answer:
12.25s + 3.99 = 77.49 would be your equation used to find the amount of shirts purchased.
When we solve the equation, we get 6 which is the quantity of shirts Gartland purchased.
Step-by-step explanation:
We know the shirts were 12.25 but we didnt know how much she pruchased leaving our shirts (s) unknown.
We added 3.99 for shipping and our total cost was 77.49
We do 12.25s + 3.99 (shipping) = 77.40 total cost
The line of best fit to model the data in the table is y = 5.2x – 0.4. a 2-column table with 5 rows. the first column is labeled x with entries 1, 2, 3, 4, 5. the second column is labeled y with entries 8, 13, 18, 23, 24. what is the residual for 5? –1.6 –0.6 0.6 1.6
Answers
From the line of the best fit y = 5.2x -0.4 for the considered data, the residual for x = 5 is given by: Option A: -1.6
How to find the residual value for a given input output pair?Suppose the given input output pair be (x,y) (actual data point)
Then suppose the prediction be y' from the line of best fit for that input x.
Then the residual value will be calculated for that point as:
Residual value = Actual value - Predicted value
Residual = y - y'
Here, we're given the data as:
x y
1 8
2 13
3 18
4 23
5 24
The line of best fit for this data is [tex]y= 5.2x -0.4[/tex]
For x = 5, the real corresponding y value is 24, and the predicted value is:
[tex]5.2(5) -0.4 = 25.6[/tex]
Thus, the residual for x=5 is: y - y' = 24 - 25.6 = -1.6
Thus, from the line of the best fit y = 5.2x -0.4 for the considered data, the residual for x = 5 is given by: Option A: -1.6
Learn more about residual here:
https://brainly.com/question/3870996
Answer:
The answer is A: -1.6
Step-by-step explanation:
Doing the assignment on edge rn and got the question right
Pls help i dont understand angles
Answers
Other rule is that the angle on top of the line should equal 180. Like angle 3 + 79.4+37.3 should equal 180.
Same thing with the angle 4: 180-37.3= 142.7
Next the middle part is a triangle. Sum of all 3 angles should be 180. 79.4+37.3 + angle 1 needs to equal 180.
Thats all you need to know for these
find the length of the segment with endpoints at (2, 7) and (8, -1)
Answers
Answer:
10
Step-by-step explanation:
→ Find the difference in x coordinates
8 - 2= 6
→ Find the difference in y coordinates
-1 - 7 = -8
→ Use Pythagoras
√6² + (-8)² = 10
How many triangles are inside a decagon?
Answers
Crispin is packing his photography equipment for a trip around the world. Since he will be visiting many different climates and environments, he has to think carefully about what and how he packs. Do research online to find different products that will help you answer these questions:
What are some types of equipment he will need?
What will he need to protect, maintain, and clean his photography equipment?
Answers
Answer:
wait in comments.................
Answer:
From wheelie bags and hard shell cases, to duffel bags, backpacks, hybrid packs, and day backs, there is a huge amount of choices when it comes to travel luggage Step-by-step explanation:
Find the area of the rectangle.
Answers
Answer:
10
Step-by-step explanation:
To find the area you multiply the length times the width. 5 x 2 = 10.
Answer:
b^7
Step-by-step explanation:
when you multiply numbers that have powers, you add them instead of multiplying.
5. Six eggs are used in a recipe to make 12
pancakes. If Chef Conrad uses exactly one dozen
eggs for the morning pancake orders, how many
3-pancake servings can he prepare?
Answers
Answer:
He can make eight 3-pancake servings.
Step-by-step explanation:
6 eggs make 12 pancakes.
12 eggs make 24 pancakes.
24 divided by 3 is 8.
Help! I will give brainliest!!!
Answers
Answer:
[tex] r = 8.58~cm [/tex]
Step-by-step explanation:
[tex] S = \dfrac{n}{360^\circ}2\pi r [/tex]
[tex] 38.95~cm = \dfrac{260^\circ}{360^\circ}2\pi r [/tex]
[tex] 38.95~cm = 4.5378r [/tex]
[tex] r = 8.58~cm [/tex]
i don't get it
-5/6x-3>1
Answers
Answer: [tex]x < -\frac{24}{5}[/tex]
Step-by-step explanation:
You have:
[tex]-\frac{5}{6} x-3 > 1[/tex]
Add 3 to both sides to get:
[tex]-\frac{5}{6} x > 4[/tex]
Multiply both sides by 6 to get:
[tex]-{5} x > 24[/tex]
Divide both sides by -5. When you divide an inequality by a negative number, you must switch the signs. Therefore:
[tex]x < -\frac{24}{5}[/tex]
Answer:
The equation is saying multiply or add negative 5/6 to x, then subtract by positive 3 which makes the number go upwards, but not making it positive, and lastly, the equation is saying the result will be greater than 1.
One of the values for x is 5, because...
[tex]-\frac{5}{6} * 5 = -4\frac{1}{6} - 3 = 7\frac{1}{6} > 1[/tex]
With that information, the statement is now complete and true. If you make 5 or anything more than 5 the value for x, the statement will still be true.
Note that I just used 5 as one of the solutions. There are many more than that.