Answer:
[tex]35x - 35y + 21[/tex]solution,
[tex]0.5(20x - 50y + 36) - 0.25( - 100x + 40y - 12) \\ = 10x - 25y + 18 + 25x - 10y + 3 \\ [/tex]
Combine the like terms:
[tex] = 10x + 25x - 25y - 10y + 18 + 3 \\ [/tex]
Simplify:
[tex]35x - 35y + 21[/tex]
Hope this helps...
Good luck on your assignment...
Mr. Maddox asked four students to create a number line to help find the sum of the fractions. Negative StartFraction 7 over 10 EndFraction + StartFraction 4 over 10 EndFraction Which number line would be best to find this sum?
Answer:
First choice
Step-by-step explanation:
Sum of fractions:
-7/10 + 4/10= - 3/10
the interval required on the line from the left of - 7/10 to the right of -3/10
Which number line would be best to find this sum?
-8/10 to 0
yes, this is good as covers the interval from -7/10 to - 3/10
-3/10 to 3/10
no, it doesn't include the left half of required section
4/10 to 11/10
no, it doesn't include the required interval
0 to 15/10
no, it doesn't include the required interval
Answer:
A
Step-by-step explanation:
Compare the fractions.
Use <,=,or>. 1/3 4/6
Answer:
1/3 < 2/3
Step-by-step explanation:
1/3 compared to 4/6
Simplify 4/6 by dividing the top and bottom by 2
4/5 = 2/3
Since the denominators are the same we compare the numerators
1/3 < 2/3
PLEASE HELP GUYS ILL REWARD BRAINLIEST
Answer:
Step-by-step explanation:
(2,6)
Answer:
The solution of the two equations is where both lines intersect
From the graph they intersect at point
(6,2)
So the solution is x = 6 y = 2
Hope this helps you
Help me find the measurement indicated in each square guys please help.
FIRST GETS BRAINLLEST If the triangle below is enlarged by a scale factor of 1.8, what will be the area of the new triangle? 60.4 square units 64.8 square units 66.4 square units 68.2 square units
Answer:
35
Step-by-step explanation: took the test
Answer:
64.8 square units is correct.
Step-by-step explanation: First, multiply both side lengths by the scale factor of 1.8. 5 times 1.8 is 9, and 8 times 1.8 is 14.4. Then, use the formula A=1/2bh to find the area of the triangle. You should end up with 64.8 units squared.
Use the following data set to find the sample statistics for the following data set. 1. (N) or (n) 2. (x-bar) or (μ) 3. (σ) or (s) Thanks!
Answer:
(1) N or n = 20
(2) [tex]\bar X \text{ or } \mu[/tex] = 43.4
(3) σ = 9.78 and s = 10.04.
Step-by-step explanation:
We are given with the following data set below;
{51, 48, 42, 43, 48, 48, 46, 15, 29, 45, 47, 55, 46, 35, 47, 48, 54, 26, 53, 42}
(1) As we can see in the above data that there are 20 data values in our data set which means that the value of N or n (numner of observations) is 20.
(2) The formula for calculating Mean of the data, i.e. [tex]\bar X \text{ or } \mu[/tex] is given by;
Mean = [tex]\frac{\sum X}{n}[/tex]
= [tex]\frac{51 +48+ 42+ 43+48+48+ 46+ 15+ 29+ 45+ 47+ 55+ 46+ 35+ 47+ 48+ 54+ 26+ 53+ 42}{20}[/tex]
= [tex]\frac{868}{20}[/tex] = 43.4
So, the value of [tex]\bar X \text{ or } \mu[/tex] is 43.4.
(3) The formula for calculating population standard deviation ([tex]\sigma[/tex]) is given by;
Standard deviation, [tex]\sigma[/tex] = [tex]\sqrt{\frac{\sum (X - \bar X)^{2} }{N} }[/tex]
= [tex]\sqrt{\frac{(51-43.4)^{2}+(48-43.4)^{2}+.......+(42-43.4)^{2} }{20} }[/tex]
= 9.78
Similarly, the formula for calculating sample standard deviation (s) is given by;
Sample Standard deviation, s = [tex]\sqrt{\frac{\sum (X - \bar X)^{2} }{n-1} }[/tex]
= [tex]\sqrt{\frac{(51-43.4)^{2}+(48-43.4)^{2}+.......+(42-43.4)^{2} }{20-1} }[/tex]
= 10.04
Which point is a solution of x + 2y ≤ 4?
Answer:
0 = x, y = 2.
Or x = 2 and y = 1.
Step-by-step explanation:
≤ means less than or equal to.
Question 4 Select Prism from the list of shapes. Set the number of lateral faces to five, and explore the cross sections of a pentagonal prism. Move the intersecting plane, and vary the angle between the intersecting plane and the vertical axis to identify the shapes of different types of cross sections. Part A Note all the types of cross sections you observe. In the table, describe the shape of the cross section formed when a particular plane passes through the prism.
Answer:
Step-by-step explanation:
Answer:
Plato
Step-by-step explanation:
rectangle
pentagon
pentagon
pentagon, hexagon ,heptagon
pentagon, quadrilateral, or triangle
A father is 3 times older than his son, or 28 years older. How old is the son?
Answer:
14
Step-by-step explanation:
The son is x years old.
The father is 3 times older, so the father is 3x years old.
The father is 28 years older than the son, so
3x - x = 28
2x = 28
x = 14
The son is 14.
The age of his son is approximately 9 years 4 months.
Given that, a father is 3 times older than his son, or 28 years older.
We need to find the how old is the son.
What is the equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Now, let the age of the son be x.
So, 3x=28
x=9.33
Therefore, the age of his son is approximately 9 years 4 months.
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How is the graph of y = 2 (3)^x+1 -4 translated from the graph of y = 2(3)^x
Answer:
f(x - n) - shift the graph n units right
f(x + n) - shift the graph n units left
f(x) - n - shift the graph n units down
f(x) + n - shift the graph n units up ----------------------------------------------------------------------------
Answer: shift the graph of y = 2(3)ˣ one unit right and four units up.
Which set of ordered pairs below is a function?
I.{(3,3),(6,1),(2,3)} .................. II.{(4,7),(2,8),(4,2)} .............. III.{(9,6),(3,1),(7,3)}
(((((((A I only )))))))) ((((( B II only ))))))) ((((((( C III only)))))) (((D I and III))))
Answer:
C
Step-by-step explanation:
Every day you collect 3 pennies and keep them in a jar. So the first day you have 3, the second day you have 6, the third day you have 9, etc. How many do you have on the 13th day?
Answer: 39 Pennies
Step-by-step explanation: You can think about this question as a multiplication problem. When you look at the pattern of the the other days you notice that they are all mulitples of 3. So when you want to find the number of pennies on the 13th day. You can do 3*13 = 39.
1 is the first odd number. It is also the first square number and the first cube number.
Which is greatest:
a) the third odd number, the third square number or the third cube number?
b) the sixth odd number, the fourth square number or the second cube number?
ALSO plz explain why because I need to know why aswell
Answer:
a. third odd number = 5
third square number = 9
third cube number = 27
Answer is the third cube number.
b. sixth odd number = 11
fourth square number = 16
second cube number = 8
Answer is the fourth square number.
solve:
|3x+ 2| > 14
show work
Answer:
x < -16/3 or x > 4
Step-by-step explanation:
This is split into two inequalities: 3x + 2 > 14 and -(3x + 2) > 14.
3x + 2 > 14
3x > 12
x > 4
-(3x + 2) > 14
3x + 2 < -14
3x < -16
x < -16/3
Answer:
[tex]x > 4[/tex]
Step-by-step explanation:
Move the constant to the right-hand and change its sign:
[tex]3x > 14 - 2[/tex]
Subtract the number:
[tex]3x > 12[/tex]
Divide both sides of the inequality by 3:
[tex]3 \div 12 = 4[/tex]
Therefore, the answer will be x > 4.
A car depreciated $1000 in the first year it was owned and driven. In years 2
and 3, it depreciated $900 and $400, respectively. What type of depreciation
is this?
A. Flat depreciation
B. Straight-line depreciation
C. Curved-line depreciation
D. Accelerated depreciation
SUBMIT
Answer: Curved-line depreciation
Step-by-step explanation: This is going down less and less so the graphing of this line is curved.
Answer:
Accelerated depreciation
Step-by-step explanation:
Can someone please Simplify -|-5 + 2|
Answer:
_|_5+2|
=_|_3|
=_3
is answer.
A cube has an edge length of 13 feet. What is its volume, in cubic feet?
Answer:
V =2197 ft^3
Step-by-step explanation:
The volume of a cube is given by
V = s^3 where s is the length of a side
V = 13^3
V =2197 ft^3
Answer:
Volume = 2197ft³
Arrange the equations in the correct sequence to rewrite the formula for displacement, , to find a. In the formula, d is displacement, v is final velocity, a is acceleration, and t is time.
Answer:
2(d-vt)=-at^2
a=2(d-vt)/t^2
at^2=2(d-vt)
Step-by-step explanation:
Arrange the equations in the correct sequence to rewrite the formula for displacement, d = vt—1/2at^2 to find a. In the formula, d is
displacement, v is final velocity, a is acceleration, and t is time.
Given the formula for calculating the displacement of a body as shown below;
d=vt - 1/2at^2
Where,
d = displacement
v = final velocity
a = acceleration
t = time
To make acceleration(a), the subject of the formula
Subtract vt from both sides of the equation
d=vt - 1/2at^2
d - vt=vt - vt - 1/2at^2
d - vt= -1/2at^2
2(d - vt) = -at^2
Divide both sides by t^2
2(d - vt) / t^2 = -at^2 / t^2
2(d - vt) / t^2 = -a
a= -2(d - vt) / t^2
a=2(vt - d) / t^2
2(vt-d)=at^2
Which formulas can be used to find the surface area of a regular pyramid
where p is the perimeter of the base, s is the slant height, BA is the base area,
and LA is the lateral area?
Check all that apply.
This question is incomplete because it lacks the appropriate options
Complete Question
Which formulas can be used to find the surface area of a regular pyramid
where p is the perimeter of the base, s is the slant height, BA is the base area,
and LA is the lateral area?
Check all that apply.
a) SA = BA + 1/2ps
b) SA = 2BA + 1/2ps
c) SA = BA + LA
d) SA = BA + 2LA
e) SA = 8.LA
Answer:
a) SA = BA + 1/2ps
d) SA = BA + 2LA
Step-by-step explanation:
When finding the surface area of a regular pyramid it is important to take note of two things
A pyramid has a Base area which is always represented by BA.
a) When a regular pyramid has similar ( side)faces, for examples a regular square pyramid, which has the base of a square, the formula to use is
Surface Area = Base Area + 1/2ps
Where p = Perimeter of the side faces
s = Slant height.
b) When the side faces are not so similar , for example, we are given a triangular based pyramid, the formula we would use is given as:
Surface Area = Base Area + Lateral Area.
Therefore, the formulas we can use to find the Surface Areas or a regular pyramid are:
a) SA = BA + 1/2ps
d) SA = BA + 2LA
Solve the system of equations: y²-x²=16, x²-y²=16 (explain and show work) Will name most brainy
=====================================================
Explanation:
Rearrange the first equation into [tex]-x^2+y^2 = 16[/tex]
So we have this equivalent system
[tex]\begin{cases}-x^2+y^2 = 16\\\\x^2-y^2=16\end{cases}[/tex]
If you add the terms straight down, then you'll find that the x^2 and y^2 terms add to 0. The right hand side terms add to 16+16 = 32
We are left with the equation 0 = 32, which is a false equation or contradiction. Therefore, there are no solutions. We say the system is inconsistent. The two graphs do not intersect at all as shown in the diagram below. We have two hyperbolas in which the branches extend off to infinity to slowly approach the asymptotes. They never actually get to the asymptotes, but only get closer.
Determine the slope of the following equation: 2y -4x = 9
Translate into an algebraic expressions: x is increased by 50% and decreased by 30% . What is the result?
Answer: 1.05x
Step-by-step explanation:
From the question, we are informed to translate into an algebraic expressions: x is increased by 50% and decreased by 30%. This will be calculated thus:
Firstly, we'll increase x by 50%.
= x + (50% of x)
= x + (0.5 × x)
= x + 0.5x
= 1.5x
Then, we'll decrease 1.5x by 30%. This will be:
= 1.5x - (30% × 1.5x)
= 1.5x - (0.3 × 1.5x)
= 1.5x - 0.45x
= 1.05x
The answer is 1.05x.
Answer:
1.05x
Step-by-step explanation:
Question Evaluate the following expression at x=−8. −x+5
Answer:
13
Step-by-step explanation:
Simply plug in -8 for x:
-x + 5
-(-8) + 5
8 + 5
13
Answer:
13.
Step-by-step explanation:
If x = -8, all you need to do is put -8 into the equation whenever it says "x".
-x + 5 = -(-8) + 5 = 8 + 5 = 13
Hope this helps!
I need help with this question, if anyone could help ASAP, that would be much appreciated. In the figure below, mROP = 125° Find the measure of each arc. For each arc, write two or more complete sentences explaining which theorem or postulate you used to find your answer. Include your equations and calculations in your final answer. find mRP, MQS, MPQR, and MRPQ
Answer:The measure of the arc RPQ is 205°
Step-by-step explanation:
Given the figure in which
m∠ROP=125°
we have to find the measure of the arc RPQ.
As QP is diameter i.e a straight line therefore
∠1 and ∠2 forms a linear pair hence these angles are supplementary.
By supplementary law
∠1+∠2=180°
∠1+125°=180°
∠1=180°-125°=55°
Now we have to find the measure of the arc RPQ i.e
we have to find the measure of ∠2+∠3
By theorem, angles around a point will always add up to 360 degrees.
∴ ∠1+∠2+∠3=360°
55°+∠2+∠3=360°
∠2+∠3=860-55=205°
Hence, the measure of the arc RPQ is 205°
Which expression shows the simplified form of (8 r Superscript negative 5 Baseline) Superscript negative 3? 8 r Superscript 15 StartFraction 8 Over r Superscript 15 Baseline EndFraction 512 r Superscript 15 StartFraction r Superscript 15 Baseline Over 512 EndFraction
Answer:
[tex]\frac{r^{15}}{512}[/tex]
Step-by-step explanation:
Given
[tex](8r^{-5})^{-3}[/tex]
Required
Simplify
This can be simplified using the following law of indices;
[tex](ab)^n = a^{n}b^{n}[/tex]
The equation becomes
[tex](8^{-3})(r^{-5})^{-3}[/tex]
Express [tex]8^{-3}[/tex] as a fraction
[tex](\frac{1}{8^{3}})(r^{-5})^{-3}[/tex]
Simplify [tex]8^3[/tex]
[tex](\frac{1}{8*8*8})(r^{-5})^{-3}[/tex]
[tex](\frac{1}{512})(r^{-5})^{-3}[/tex]
The expression can further be simplified using the following law of indices;
[tex](a^m)^n = a^{mn}[/tex]
[tex](\frac{1}{512})(r^{-5})^{-3}[/tex] becomes
[tex](\frac{1}{512})(r^{-5*-3})[/tex]
[tex](\frac{1}{512})(r^{15})[/tex]
[tex]\frac{r^{15}}{512}[/tex]
Hence, the solution to [tex](8r^{-5})^{-3}[/tex] is [tex]\frac{r^{15}}{512}[/tex]
Answer:
D
Step-by-step explanation:
What are the first three terms of the Arithmetic Sequence an=11-3(n-1)?
a. 1, 2, 3
b. 0, 8, 16
c. 8, 5, 2
d. 11, 8, 5
Answer:
11,8,5
Step-by-step explanation:
an=11-3(n-1)
Let n=1
a1 = 11 - 3(1-1)
= 11 -0
=11
Let n=2
a2 = 11-3(2-1)
= 11 -3(1)
= 8
Let n=3
a3 = 11-3(3-1)
= 11 -3(2)
= 11 -6
=5
Answer:
The answer is 11,8,5
Step-by-step explanation:
that's the correct answer
Find the volume of a pyramid with a square base, where the side length of the base is
15.3 m and the height of the pyramid is 19.6 m. Round your answer to the nearest
tenth of a cubic meter.
Answer:
1529.4 m^3
Step-by-step explanation:
We will use the formula V = 1/3*h*B for the volume of the pyramid, where V is volume, h is height, and B is are of the base.
First, since we know h and are looking for V, we need B. To find this, since it has a square base, we multiply b, the base length, by itself. 15.3m * 15.3m = 234.09m^2.
Next, we plug into the formula.
V = 1/3*19.6m*234.09m^2
And simplify:
V= 1/3 * 4,588.164m^3
V= 15.29.3879....
Last, round to the tenth
1529.4 m^3
Answer: 1529.4
Step-by-step explanation:
Which description is paired with its correct expression? seven less than the quotient of two and a number squared, increased by six; 7 minus StartFraction 2 Over n squared EndFraction + 6 nine times the difference of a number cubed and three; 9 (n cubed minus 3) eight more than the quotient of a number squared and four, decreased by seven; 8 + StartFraction 4 Over n squared EndFraction minus 7 twice the difference of a number cubed and eight; 2 n cubed minus 8
Answer:
the second description and and expression is correct
Step-by-step explanation:
the first one is wrong because it says 7 minus while it should be minus 7
nine times the difference of a number cubed and three; 9(n³-3)
Paired data in statistics, often referred to the ordered pairs, refers to 2 variables in the individuals of the population that are linked together in the order to determine correlation between them.
Given :
7 less than the quotient of two and a number squared increased by six
7 - (2/n²) + 6
9 times the difference of a number cubed and three; 9(n³-3)
8 more than the quotient of a number squared and four, decreased by seven; 8 + (4 /n²) - 7
twice the difference of a number cubed and eight; 2 n³- 8
To Find: Which description is paired with its correct expression
Solution:
7 less than the quotient of two and a number squared increased by six
7 - (2/n²) + 6
Correct Expression is -7 + (2/n²) + 6
nine times the difference of a number cubed and three; 9(n³-3)
Expression is Correct
8 more than the quotient of a number squared and four, decreased by seven; 8 + (4 /n²) - 7
Correct Expression is 8 + (n²/4) - 7
twice the difference of a number cubed and eight; 2 n³- 8
The correct expression is 2( n³- 8)
Hence the correct answer is :
nine times the difference of a number cubed and three; 9(n³-3)
Statistics is a mathematical body of the science that pertains by the collection or analysis, or interpretation and explanation, or presentation of data, and as a branch of mathematics. Some consider statistics to be the distinct mathematical science rather than a branch of mathematics.
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I only need help step by step solution for question#40 and #44
the link is not working :(
On which number line do the points represent negative seven and one over two and +1? Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed in between the 7th and 8th tick marks to the left of 0. A point labeled T is placed in between the 6th and 7th tick marks to the left of 0. Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed in between the 7th and 8th tick marks to the left of 0. A point labeled T is placed on the 1st tick mark to the right of 0 Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed on the 1st tick mark to the left of 0. A point labeled T is placed in between the 7th and 8th tick marks to the right of 0. Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed is placed on the 1st tick mark to the left of 0. A point labeled T is placed between the 6th and 7th tick marks to the right of 0.
Answer:
A number line is used in the mathematical positioning of real numbers that include the numbers from positive infinity to negative infinity. This includes rational, irrational, fractions, and whole numbers. In this case, we are given with an expression that we have to reduce to lowest terms: negative seven and one over two and +1. The first one is equal to -7.5 while the other one is equal to +1. Positive numbers lie on the right side of zero (center of the line) while negative numbers lie on the left on the other hand. -7.5 lies between -8 and -7 while +1 lies exactly between 0 and 2. Both of which are positive numbers
I hope that is what your asking...
Answer:
On which number line do the points represent negative seven and one over two and +1? The Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed in between the 7th and 8th tick marks to the left of 0. A point labeled T is placed in between the 6th and 7th tick marks to the left of 0. The Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed in between the 7th and 8th tick marks to the left of 0. A point labeled T is placed on the 1st tick mark to the right of 0 Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed on the 1st tick mark to the left of 0. A point labeled T is placed in between the 7th and 8th tick marks to the right of 0. The Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed on the 1st tick mark to the left of 0. A point labeled T is placed between the 6th and 7th tick marks to the right of
Step-by-step explanation: