Capacity: Capacity Example would be : The amt. of gallons in a pool.
( How much Can Be filled ?sort of questions )
Mass: Mass Example : How much mass does a can of tomatoes have on Earth and the Moon? ( Think the amt. of space taken will be same regardless of weight.)
Length : How tall are you?
( Think how long/ height of it? How much is measures)
Answering your Essential Question : Conversions of measurement can help you solve problems because we can use them to compare, and use them to find the weight or length in a different place ( Think Metric, and Customary Units.)
Hope it Helps! =)
A bag contains 12 red, 30 blue, 20 green, 10 yellow, and 8 black marbles. Nancy chooses 1 marble from the bag. What is the probability that the marble is red, blue, or black?
A.18
B.38
C.58
D.78
Step-by-step explanation:
Total marbles = 12 + 30 + 20 + 10 + 8 = 80
Probability = 12 + 30 + 8 = 50
= 50 / 80 = 5 / 8
A 25 foot ladder is leaning against a building. The building is 20 feet high. How far away from the building is the bottom of the ladder
Answer:
15 ft
Step-by-step explanation: To solve this, you have to use the Pythagorean Theorem. The 25 ft is the hypotenuse, the longest side of the triangle. the building's height, 20 ft is one of the legs. The missing measurement is one of the other legs.
Pythagorean Theorem: A^2 + B^2 = C^2
A and B are legs and C is the hypotenuse.
Substitute the values:
20^2 + B^2 = 25^2
400+ B^2 = 625
625 - 400 = 225
225 = 15^2
Point A is at (-3,-5) and point B is at (2,5).
What is the midpoint of line segment AB?
Answer:
Step-by-step explanation:
The answer would be -1, 0
The first numbers represent the A axis, so -3-2 = -1
The 2nd number represents the B axis, so 5-5=0
The midpoint of the line segment is (-1/2, 0).
What is midpoint of a line segment?The midpoint of a line segment is given as,
x = (a + c)/2
y = (b + d) / 2
Where (x, y) is the midpoint and (a, b) and (c, d) are the two endpoints.
We have,
A = (-3, -5) = (a, b)
B = (2, 5) = (c, d)
The midpoint of AB is (x, y).
x = (a + c)/2
x = (-3 + 2)/2
x = -1/2
y = (b + d) / 2
y = (-5 + 5)/2
y = 0/2
y = 0
(x, y) = (-1/2, 0)
Thus,
The midpoint is (-1/2, 0).
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Which of the following rational functions is graphed below?
Answer:
the answer is A, u can try graphing it if u need to verify
Considering it's asymptotes, it is found that the rational function graphed below is given by:
A. [tex]F(x) = \frac{1}{(x - 6)(x + 6)}[/tex]
What are the asymptotes of a function f(x)?The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.In this question, looking at the graph, it is found that there are vertical asymptotes at x = -6 and x = 6, and an horizontal asymptote at y = 0, hence the function is given by:
A. [tex]F(x) = \frac{1}{(x - 6)(x + 6)}[/tex]
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Write a formula for quadratic function if its graph has the vertex at point (0,6) and passes through the point (−1,−2).
Answer:
y = - 8x² + 6
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (0, 6), thus
y = a(x - 0)² + 6, that is
y = ax² + 6
To find a substitute (- 1, - 2) into the equation
- 2 = a(- 1)² + 6, that is
- 2 = a + 6 ( subtract 6 from both sides )
- 8 = a
y = - 8x² + 6
The formula of the quadratic function is [tex]y = -8x^2 + 6[/tex]
A quadratic function is represented as:
[tex]y = a(x - h)^2 + k[/tex]
The vertex of the quadratic function is given as:
[tex](h,k) = (0,6)[/tex]
So, we have:
[tex]y = a(x - 0)^2 + 6[/tex]
This gives:
[tex]y = ax^2 + 6[/tex]
The quadratic function passes through (-1,-2).
So, we have:
[tex]-2 = a(-1)^2 + 6[/tex]
[tex]-2 = a + 6[/tex]
Subtract 6 from both sides
[tex]a = -8[/tex]
Substitute -8 for a in [tex]y = ax^2 + 6[/tex]
[tex]y = -8x^2 + 6[/tex]
Hence, the formula of the quadratic function is [tex]y = -8x^2 + 6[/tex]
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A stick 1 meter long casts a shadow 1.5 meters long. A building casts a shadow 17 meters long. How tall is the building (to 2 decimal places)
What is the area of one of the triangular faces?
4 in
3 in
7 in
7 in
5 in
4 in
5 in
Answer:6
Step-by-step explanation:
I got it corrected on the assignment
Answer:
it is 6
Step-by-step explanation:
the person above me is right :) have a nice day
(◍•ᴗ•◍)✧*。
what is 9^3 as a power of 3
Answer:
729
Step-by-step explanation:
9³ you just type that in the calculator
Answer:
[tex] {3}^{6}[/tex]
Step-by-step explanation:
[tex] \huge {9}^{3} \\ \huge= ( {3}^{2} )^{3} \\ \huge = {3}^{2 \times 3} \\ \huge= {3}^{6}[/tex]
please help!!! i really need the answer to this question, ill mark you as brainleist
Hey there! I'm happy to help you! :)
We see that there are 160 songs in total. Let's split them up into groups of rock, country, and pop.
ROCK
Our problem says that 3/8 of the songs are rock songs. We know that we have 160 songs. We just need to multiply 3/8 by 160 and we will have the number of rock songs.
3/8*160=60
Therefore, we have 60 rock songs.
COUNTRY
We see that 25% of our songs are country songs. 25% is the same thing as 1/4, or 0.25. We can multiply this by our total number of songs to see how many are country.
0.25(160)= 40
We have 40 country songs.
POP
All we have in the problem is that the remaining songs are pop. The nice thing is is that we already know how many rock and country songs we have, so we can simply subtract those from 160 and we will then be able to tell how many pop songs there are.
160-60-40= 60
Therefore, there are 60 pop songs.
I hope that this helps you! Have a wonderful day!
(9x2+3x-5) - (3x2+4x-10)
Answer:
39
Step-by-step explanation:
I'm assuming x is supposed to be a multiplication sign.
You need to use PEMDAS for this:
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
(9x2+3x-5)-(3x2+4x-10)=
(18-15)-(6-40)=
3-(-36)=
3+36=
39
Find the value of x. Will mark brainliest.
Answer:
x = 8
Step-by-step explanation:
both segments are equal so you factor x and your numbers to opposite sides and divide by the amount of x if its over 1.
What is the area of the triangle shown below?
Answer:
48
Step-by-step explanation:
Split it into 2 right triangles flip one around and you have a rectangle who's area is equal to 10x6.
a=6
c=2
b=?
Solve for b:
Solve the following system of equations using any method you want.
y + 2x = 2
2x - 5y = 14 please help
Answer:
y = - 2, x = 2
Step-by-step explanation:
Remove x and solve for y
2x - 2x - 5y - y = 12
-6y = 12
y = - 2
Substitute y back into the equation
-2 + 2x = 2
2x = 4
x = 2
Determine whether each statement is true or false.
(FINALEXAM)
Answer:
1. False
2. True
Step-by-step explanation:
Which graph represents -x+ 8y > - 24
Kind of need a picture to help answer the question.
In a 3-digit number, the hundreds digit is four more than the ones digit and the tens digit is twice the hundreds digit. If the sum of the digits is 12, find the three digits. Find the number.
If the hundreds digit of the number is x, the equation will be:
Answer:
480
Step-by-step explanation:
hundreds digit is 4 more then the units digit and the tens digit is twice the the hundreds digit.
Unit digit x 0
hundreds digit is x4) 4
tens digit 2(x+4) = 8
The sum of the digit is 12
(x+4) +2 (x+4) +x=12
4x +12= 12
4x=0
x=0
Answer:
480
Step-by-step explanation:
Find the area of a circle whose circumference is 87 m.
A. 4 m 2
B. 8 m2
C. 16 m2
D. 64 m2
Answer:
None of those are right, the answer is about 602.32 m2
Step-by-step explanation:
Element X decays radioactively with a half life of 14 minutes. If there are 760 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 11 grams?
Answer:
85.5 minutes
Step-by-step explanation:
The amount of an element that will remain after time t can be expressed as a function of initial amount N0, time t, and half life th as;
Nt = N0 × e^(-λt)
Where;
Decay constant λ = ln(2)/th, substituting into the equation;
Nt = N0 × e^(-ln(2)t/th)
We need to make t the subject of formula;
Nt/N0 = e^(-ln(2)t/th)
ln(Nt/N0) = -ln(2)t/th
t = ln(Nt/N0) ÷ -ln(2)/th
Given;
Initial amount N0 = 760g
Final amount Nt = 11 g
Half life th = 14 minutes
the nearest tenth of a minute, would it take the element to decay to 11 grams can be derived using the formula;
t = ln(Nt/N0) ÷ -ln(2)/th
Substituting the given values;
t = ln(11/760) ÷ -ln(2)/14
t = 85.5 minutes
The volume of a rectangular prism is v = Lwh, where v is the volume, L is the length, w is the width, and h is the height. Rewrite this equation with w solved in terms of v, l, and h.
Answer:
w=v/lh
Step-by-step explanation:
lwh=v
To isolate w, we'd have to divide both sides by (lh)
Therefore, w = v/lh
Hope this helped and have a good rest of your day!
help please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Choice 2 on the upper right
Step-by-step explanation:
counterclockwise is to the left.
1+1
this is a joke lol
A right triangle has one leg with length 7 and
another leg with length 8. What is the length of
the hypotenuse of the triangle?
a. 15
b. 113
c. 4 7
d. 7 8
help asap will mark brainliest
Answer:
x= 34 degrees
Step-by-step explanation:
The angles on the same side of the transversal, but on opposite sides of the parallel lines are equal.
Answer:
Step-by-step explanation:
x = 34
the vertically opposite angle facing x = 34 ( it is an alternate angle with 34 and alternate angles are equal)
This means that x = 34 too since vertically opposite angles are equal too
Billy buys light bulbs in packs of 8 for $20. The shipping cost is $10 regardless of the number of packs bought. Billy has only $120 to spend.
welp > _
Answer:
5 packs
Step-by-step explanation:
First, take away the $10 from the $120 he has to spend, therefore he then has $110. Then, divide $110 by $20 and you will get 5.5. He can't get half of a pack so he can only get 5 packs. I hope this helped!
The correct statement that describes the domain of the function is the domain is the set of all real numbers greater than or equal to 0 and less than or equal to 5.
What is a function?A relation is a function if it has only One y-value for each x-value.
The cost of buying "x" packs of light bulbs is given by the following function:
C(x) = 20x + 10
The function C(x) gives the total cost of buying "x" packs of light bulbs, including the cost of the light bulbs and the shipping cost.
Since Billy can only spend a maximum of $120, we can set up an inequality based on the function C(x):
20x + 10 ≤ 120
20x≤ 110
x ≤ 5.5
This means that Billy can buy at most 5 packs of light bulbs with his budget of $120.
Therefore, the correct statement that describes the domain of the function is the domain is the set of all real numbers greater than or equal to 0 and less than or equal to 5.
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Billy buys light bulbs in packs of 8 for $20. The shipping cost is $10 regardless of the number of packs bought. Billy only had $120 to spend. The cost per ligh tbulb with respect to number of packs bought can be modeled by a function. Select the statement that correctly describes the domain of the function. If the statement is incorrect explain why.
A. The domain is the set of all real numbers greater than or equal to 1 and less than or equal to 6
B. The domain is the set of all real numbers greater than or equal to 0 and less than or equal to 5
C. The domain is the set of all integers greater than or equal to 1 and less than or equal to 6
D. The domain is the set of all integers greater than or equal to 0 and less than or equal to 5
True or False a scaled bar graph has a key
Answer:
true
Step-by-step explanation:
u can colour code it an say what it means
ame
Ex 4 (DOK 2): Equivalent equations have exactly the same
solution set. Select Yes or No to indicate whether each
equation is equivalent to the given equation.
Given: 47x + 2 = -8
Yes
No
Equation
vx + 2 = -2
x + 2 = 4
x = 2
Answer:
yes? idk
Step-by-step explanation:
A jar contains 2 pink and 8 navy marbles. A marble is drawn at random. What is the theoretical probability of drawing a pink marble?
Answer:
1/5
Step-by-step explanation:
There are 10 marbles in the jar (2+8 = 10)
P(pink) = number of pink marbles / total marble
= 2/10 = 1/5
Answer:
1/5 or 20% because there is ten marbles and there is 2 pink so the theoretical answer is 20% or 1/5
Step-by-step explanation:
Which could be the entire interval over which the function, f(x), is negative?
(-8, -2)
(-8, 0)
(-infinity, -6)
(-infinity, -4)
The interval over which the function f(x) is negative is (-infinity, -4) .
Given,
The values of f(x) for corresponding x .
Here,
From the table,
x = -8 ; f(x) = -16
x = -6 ; f(x) = -8
Thus from the data given in the table it is clear that the function f(x) will be negative if we decrease the value of x .
Thus f(x) will be negative for the values which are smaller than -8 .
Now,
When
x = -4 ; f(x) = 0
x = -2 ; f(x) = 8
Thus f(x) changes its sign at x = -4.
So,
Interval in which f(x) will be negative : (-infinity, -4) .
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Using the graphing function on your calculator, find the solution to the system
of equations shown below.
2y - 4x = 6
y-2x = 7
A. No solution
B. More than 1 solution
C. x = 4, y = -2
D. x= -1, y = 1
Answer:
A: no solution
Step-by-step explanation:
The lines will always be 2 spaces apart
Answer:
A. No solution
Step-by-step explanation:
I graphed the equations on the graph below and noticed that the lines appear to be parallel, which means they don't intersect at any point.
If this answer is correct, please make me Brainliest!
In the number 9.13 what is the value of the digit 3, written as a fraction?
Answer:
The value of the digit 3, written as a fraction is[tex]\frac{3}{100}[/tex]
Step-by-step explanation:
Number : 9.13
A place value tells you the location of each digit in a number.
If a number has a decimal point,
The first digit to the right of the decimal point is the number of tenths.
The second digit to the right of the decimal point is the number of hundredths.
The first digit to the left of the decimal point is the number of ones.
The second digit to the right of the decimal point is the number of tens.
So, The digit three is The second digit to the right of the decimal point is the number of hundredths.
So, the value of the digit 3, written as a fraction is[tex]\frac{3}{100}[/tex]
The required value of the digit 3, written as a fraction is 3\100.
We have to determine, In the number 9.13 what is the value of the digit 3, written as a fraction.
According to the question,
Given number : 9.13
A place value tells you the location of each digit in a number.
If a number has a decimal point,
The first digit to the right of the decimal point is the number of tenths.
The second digit to the right of the decimal point is the number of hundredths.
The first digit to the left of the decimal point is the number of ones.
The second digit to the right of the decimal point is the number of tens.
So, The digit three is the second digit to the right of the decimal point is the number of hundredths.
Hence, The required value of the digit 3, written as a fraction is 3\100.
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