Answer:
1)0.123( bar on 3)
Let X = 0.123 ( bar on 3)
Then X = 0.1233 --------(1)
Multiply equation (1) by 100 we get,
100X = 12.33 --------(2)
Again multiply equation (2) by 10 we get,
1000X = 123.33 -------(3)
Subtract equation (2) from equation (3) we get,
1000X = 123.33
100X = 12.33
____________
900X = 111
X = 111/900
Hence,
0.123 ( bar on 3) is in the form of 111/900 which is in the form of P/Q.
How to convert the equation
[tex]y = \frac{q}{5 {}^{x} } [/tex]
to linear form
Answer:
[tex]xlog 5 = logq - log y\\[/tex]
Step-by-step explanation:
Given the equation [tex]y = \frac{q}{5^{x} }[/tex], to convert to linear form, the following steps must be followed;
[tex]5^{x} = \frac{q}{y}\\ y5^{x} = q\\taking\ the\ log\ of\ both\ sides\\log(y5^{x}) = log q\\logy + log 5^{x} = log q\\log y + xlog5 = log q\\xlog 5 = logq - log y\\[/tex]
The final expression is a linear form of the expression
helppppppppppppppppppppppppppppppp plz
The answer is the second image from left to right (B). Examples of direct and inverse variations are showed in the image below. :)
expand this expression 3m(2m+n-5)
Answer:
6m^2 + 3mn - 15m.
Step-by-step explanation:
3m(2m + n - 5)
= (3m * 2m) + (3m * n) - (3m * 5)
= 6m^2 + 3mn - 15m.
Hope this helps!
Answer:
[tex]6m^2+3mn-15m[/tex]
Step-by-step explanation:
[tex]3m(2m+n-5)=\\3m*2m+3m*n+3m*(-5)=\\6m^2+3mn+(-15m)=\\6m^2+3mn-15m[/tex]
A football team carried out a report to see the impact of stretching on preventing injury. Of the 32 footballers in the squad 25 stretch regularly. Of those who stretch, 3 got injured last year. There was a total of 8 injured players last year. The results can be presented in a frequency tree. What fraction of players are not stretching regularly?
Answer:
1/16
Step-by-step explanation:
Total = 32 footballers
25 stretch regularly.
3 injure last year
now, 22 stretch regularly.
out of 32, 8 are injured. Therefore, 32-8=24 should stretch regularly but only
22 stretch regularly. Therefore, 24-22 =2 are not stretching regularly.
fraction of players are not stretching regularly = 2/32 =1/16
If point P is 4/7 of the distnace frm M to N, what ratio does the point P partiion the directed line segment from M to N
Answer: 4:3.
Step-by-step explanation:
Given: Point P is [tex]\dfrac{4}{7}[/tex] of the distance from M to N.
To find: The ratio in which the point P partition the directed line segment from M to N.
If Point P is between points M and N, then the ratio can be written as
[tex]\dfrac{MP}{MN}=\dfrac{MP}{MP+PN}[/tex]
As per given,
[tex]\dfrac{MP}{MP+PN}=\dfrac{4}{7}\\\\\Rightarrow\ \dfrac{MP+PN}{MP}=\dfrac{7}{4}\\\\\Rightarrow\ \dfrac{MP}{MP}+\dfrac{PN}{MP}=\dfrac{7}{4}\\\\\Rightarrow\ -1+\dfrac{PN}{MP}=\dfrac{7}{4}\\\\\Rightarrow\ \dfrac{PN}{MP}=\dfrac{7}{4}-1=\dfrac{7-4}{4}=\dfrac{3}{4}\\\\\Rightarrow\ \dfrac{PN}{MP}=\dfrac{3}{4}\ \ \or\ \dfrac{MP}{PN}=\dfrac{4}{3}[/tex]
Hence, P partition the directed line segment from M to N in 4:3.
Line segment AB¯¯¯¯¯¯¯¯ has endpoints A(−2,6) and B(4,−6). What are the coordinates of the point that partitions BA¯¯¯¯¯¯¯¯ according to the part-to-part ratio 2:4? Enter your answer as an ordered pair, formatted like this: (42, 53)
Answer:
(2, -2) are the coordinates of the point which divides BA into ration 2:4.
Step-by-step explanation:
The given two co-ordinates of A are (-2, 6) and B is (4, -6).
Let P be the point that divides the line BA into ratio 2:4.
to find coordinates of a point P on the line segment BA dividing it in a ratio 2:4, we can use segment formula.
[tex]x = \dfrac{mx_{2}+nx_{1}}{m+n}\\y = \dfrac{my_{2}+ny_{1}}{m+n}[/tex]
Where (x,y) is the co-ordinate of the point P which
divides the line segment joining the points [tex](x_{1}, y_{1}) and (x_{2}, y_{2})[/tex] in the ratio m:n.
Please refer to the attached image.
As per the given values :
[tex]x_{1} = 4\\x_{2} = -2\\y_{1} = -6\\y_{2} = 6\\[/tex]
Putting the given values in above formula :
x-co-ordinate of P:
[tex]x = \dfrac{4 \times 4 -2 \times 2}{4+2}\\\Rightarrow \dfrac{12}{6}\\\Rightarrow x = 2[/tex]
y-co-ordinate of P :
[tex]y = \dfrac{4 \times -6 +2 \times 6}{4+2}\\\Rightarrow \dfrac{-24+12}{6}\\\Rightarrow \dfrac{-12}{6}\\\Rightarrow y = -2[/tex]
So, answer is P(2, -2).
. An octagon has a side length of 15 feet and an area of 1089.6 ft?.
Find the area of a smaller octagon that has a side length of 7 feet.
Question
An octagon has a side length of 15 feet and an area of 1089.6 ft²
Find the area of a smaller octagon that has a side length of 7 feet.
Answer:
237.3ft²
Step-by-step explanation:
We are given two octagons in the above question.
Side length of larger octagon = 15 ft
Area of larger octagon = 1089.6 ft²
The area of a smaller octagon = X
Side length of smaller octagon = 7 ft.
We solve for this using scale factor
Scale factor(k) = ratio of the side length of the octagon = smaller side length/ larger side length
k = 7/15
It is important to note that
The square of the scale factor k = ratio of the areas of the octagon
Hence,
k² = X/1089.6 ft²
(7/15)² = X/1089.6 ft²
7²/15² = X/1089.6 ft²
Cross Multiply
15² × X = 7² × 1089.6ft²
X = 7² × 1089.6ft²/15²
X = 237.29066667ft²
Approximately, the area of the smaller octagon = 237.3ft²
Please answer this in two minutes
Answer:
131°.
Step-by-step explanation:
its equal to that other angle i forgot how but i learned this 1 week ago
Find the volume of a triangular prism that has a triangular base of 4 and height of 3 with a prism height of 11. Answer in cubic ft a0 cubic units.
Answer:
12 ??
Step-by-step explanation:
Answer:
12 cubic units
Step-by-step explanation:
1. Multiply 4 and 3
what is the equation of the graph that represents the parent function f(x)=x^4 stretched vertically by a factor of 2, and then shifted left 3 spaces
Answer:
f(x) = 2(x+3)^4
Step-by-step explanation:
I graphed the functions on the graph below so you can see how I got my answer.
Answer:
g(x)=2x^4+3
Step-by-step explanation:
Would someone be able to help me with this question please???
Step-by-step explanation:
A jar contains 20 coins.
There are only coins of value 1p, 2p, 5p and 10p in the jar.
A coin is taken at random from the jar.
The probability that it is a 1p coin is 1/5
The probability that it is a 2p coin is 1/2
The total value of the coins in the jar is 59 pence.
Work out how many of each type of coin there are in the jar.
Answer:
See Attached Image, Explanation in order to understand how to calculate is below.
Step-by-step explanation:
The Jar Contains 20 Coins.
The probability that it is a 1p coin is 1/5
The probability that it is a 2p coin is 1/2
The total value of the coins in the jar is 59 pence.
The Section in bold is vitally important in this question.
We know we have 4 combinations of 1p, 2p , 5p & 10p in order to make 59p, and only have 20 coins to make it.
--------------------------------------------------------------------------------------------------------------
Calculate 1p:
1/5 of 20 = 4
We know the answer is 4 as we have 20 coins, you find 1/5 of 20.
Calculate 2p:
1/2 of 20 = 10
We know the answer is 10 as we have 20 coins, you find 1/2 of 20.
10 (2p Coins) + 4 (1p coins) = 14
20 coins - 14 (2p & 1p coins) = 6.
Now we only have 6 remaining coins for both 5p and 10p.
Calculate 5p:
We know we currently have a total of 24p if we subtract that from 59 we are left with 35.
So we can work establish here that we are not going to need many 10p's. As we only have 6 coins left!.
5x5 = 25p.
Therefore you need 5, 5p's
Calculate 10p:
With 1 pence left out of the 20, we need 1 10p.
--------------------------------------------------------------------------------------------------------------
Hope this helps, mark as brainilest if found useful.
There are 1 10p coin of each type in the jar.
Given that ;
The Jar Contains 20 Coins.
Probability that it is a 1p coin is 1/5
Probability that it is a 2p coin is 1/2
The total value of the coins in the jar is 59 pence.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
We know we have 4 combinations of 1p, 2p , 5p & 10p. so to make 59p, and only have 20 coins to make it.
Calculate 1p:
1/5 of 20 = 4
The answer is 4 as we have 20 coins, find 1/5 of 20.
Calculate 2p:
1/2 of 20 = 10
The answer is 10 as we have 20 coins, you find 1/2 of 20.
10 (2p Coins) + 4 (1p coins) = 14
20 coins - 14 (2p & 1p coins) = 6.
Now we only have 6 remaining coins for both 5p and 10p.
Now Calculate 5p:
We know that we have a total of 24p if we subtract that from 59 we are left with 35
5x5 = 25p.
Therefore we need 5, 5p's
Now Calculate 10p:
With 1 pence left out of the 20, we need 1 10p.
Learn more about probability here;
https://brainly.com/question/9326835
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help me Please!!!!!!
Answer:
Step-by-step explanation:
Angle QRS is an inscribed angle. The rule is that an inscribed angle is half the measure of the arc it cuts off; in other words, the measure of the arc is double the measure of its inscribed angle. If the angle is 84, then the arc is
84(2) = 168.
the triangle ADE
BC is parallel to DE
AB = 9cm, AC = 6cm, BD = 3cm, BC = 9cm
Answer:
a) DE is 12 cm
b) CE is 2 cm
Step-by-step explanation:
In the two triangles [tex]\triangle ABC[/tex] and [tex]\triangle ADE[/tex].
[tex]\angle A[/tex] is common.
BC || DE
[tex]\Rightarrow \angle B = \angle D\ and \\ \Rightarrow \angle C = \angle E[/tex]
[tex]\because[/tex] two parallel lines BC and DE are cut by BD and CE respectively and the angles are corresponding angles.
All three angles are equal hence, the triangles:
[tex]\triangle ABC[/tex] [tex]\sim[/tex] [tex]\triangle ADE[/tex].
Ratio of corresponding sides of two similar triangles are always equal.
[tex]\dfrac{AB}{AD} = \dfrac{BC}{DE}\\\Rightarrow \dfrac{9}{9+3} = \dfrac{9}{DE}\\\Rightarrow \dfrac{9}{12} = \dfrac{9}{DE}\\\Rightarrow DE = 12\ cm[/tex]
[tex]\dfrac{AB}{AD} = \dfrac{AC}{AE}\\\Rightarrow \dfrac{9}{9+3} = \dfrac{6}{AC+CE}\\\Rightarrow \dfrac{9}{12} = \dfrac{6}{6+CE}\\\Rightarrow 6+CE = \dfrac{4\times 6}{3}\\\Rightarrow 6+CE = 8\\\Rightarrow CE = 2\ cm[/tex]
So, the answers are:
a) DE is 12 cm
b) CE is 2 cm
4x³-2x⁴+8x+10x²-4 in standard form
Answer:
-2x⁴+4x³+10x²+8x-4
Step-by-step explanation:
Standard form for a polynomial is from highest power to lowest power
4x³-2x⁴+8x+10x²-4
-2x⁴+4x³+10x²+8x-4
Check all that apply please!
Answer:
C. Scalene
F. Obtuse
Step-by-step explanation:
The triangle is scalene because all 3 sides are different lengths.
The triangle is obtuse because 1 angle is bigger than 90° (132°).
Answer:
scalene
obtuse
Step-by-step explanation:
All the sides are different length, so it is a scalene triangle
The 132 degree angle is greater than 90 degrees and less than 180 so it is obtuse
If the circumference of a circular tank is 44m. Find the diameter
Answer:
14 mSolution,
Circumference of circular tank = 44m
Radius = ?
Diameter= ?
Now,
Circumference of a circle = 44
[tex]or \: 2\pi \: r \: = 44[/tex]
[tex]or \: 2 \times 3.14 \times r = 44[/tex]
[tex]or \: 6.28r = 44[/tex]
[tex]or \: r = \frac{44}{6.28} [/tex]
[tex]r = 7.0 \: m[/tex]
Again,
Diameter = 2 radius
= 2 * 7.0
= 14 m
Hope this helps..
Good luck on your assignment..
Answer:
2×3.14×r=44
6.28r=44
r=44/6.28
r=7.0
d=r
2×7.0
14
In an arena, each row has 199 seats. One day, 1990 students are coming to attend a soccer match. It is only known that at most 39 students are from the same school. If students from the same school must sit in the same row, determine the minimum number of rows that must be reserved for these students.
Answer: 10 rows
Step-by-step explanation:
Given:
Seats on each row = 199.
Population of student attending = 1990.
no of students from same school = 39.
Therefore;
If the students from same school must seat in same row determine the number of rows that most be reserved for these students.
1. At most 39 students from same school
= total population of all students/ students from same school
= 1990 / 39
= 51 schools would be attending the event
2. No of students a row can accommodate
= Seats on each row / no of students from each school
= 199/39
= 5
3. No of rows to that most be reserved
= 51 / 5
= 10
So 10 rows must be reserved.
Pls help ima give BRAINLIST and a like
Answer:
the letter in the green box should be 3.
i believe the full equation should be y= -3/2 x+1
Step-by-step explanation:
the y side keeps decreasing by 1 1/2 which in improper fraction form is -3/2. the x side keeps increasing by 1.
Write these numbers in standard form
Answer:
a. [tex] 4*10^{-5} [/tex]
b. [tex] 5*10^{-5} [/tex]
c. [tex] 6*10^{-6} [/tex]
d. [tex] 8*10^{-10} [/tex]
Step-by-step explanation:
To write the above given numbers in standard form, all you need to do is count how many places you have to move the decimal point till you get to a non-zero digit. The number of places you move the decimal point to the right would determine the value of the negative power you would raise to 10.
a. 0.00004:
To place our decimal point after the first non-zero digit in this number given, we would have to move the decimal point to 5 places. The digit 4, would now be multiples by 10 raised to the negative power of 4.
The standard form would be: [tex] 4*10^{-5} [/tex].
Now let's check if we're correct.
[tex] 4*10^{-1} = 4*\frac{1}{10^5} = 4*\frac{1}{100,000} = 4*0.00001 = 0.00004 [/tex]
Follow same procedure as shown above to write the rest numbers in standard form.
You should have the following as their standard form:
b. [tex] 0.00005 = 5*10^{-5} [/tex]
c. [tex] 0.000006 = 6*10^{-6} [/tex]
d. [tex] 0.0000000006 = 8*10^{-10} [/tex]
The table represents the average daily price of a two-bedroom beachfront condo each month, with January represented as month 1, February as month 2, and so on. Month (x) Daily Rental Price (y) 1 $154 2 $205 3 $266 4 $358 5 $403 6 $425 7 $437 8 $430 9 $381 10 $285 11 $211 12 $195 Use the graphing tool to determine the curve of best fit for this data. Write the equation of the curve in the space below.
Answer:
y = - 9.1768x2 + 122.2567x + 14.9091
Step-by-step explanation:
Given the following :
Month (x) Daily Rental Price (y) 1 $154 2 $205 3 $266 4 $358 5 $403 6 $425 7 $437 8 $430 9 $381 10 $285 11 $211 12 $195
Using the online regression equation graphing tool ; The quadratic model obtained in the form,
y = Ax^2 + Bx + C is :
y = - 9.1768x2 + 122.2567x + 14.9091
Attached below is a picture of the quadratic regression curve.
Can any one please help me I really need help please help me please help me thank you
Answer:
Step-by-step explanation:
a) 500,000+300,000+150000+80000+0.02x+0.03x+0.08x=1030000+0.13x
b)1030000*(0.13*200)=26780000
there are two different power : power and exponent
exponent : 5⋅5⋅5=5^3
power 4^2 it is read as 4 to the second power or 4 squared 4 ∙ 4
"Like terms" are terms whose variables are the same example : x,7x,2x tey all have the same variable x
i hope it helps
help me please! i’m very behind.
0 Translating Inequalities
Match the inequality with its symbolic form,
A number is at most 6
A number is below 5
A number is not less than 5
A number is larger than 6
Answer:
A number is larger than 5 --> x > 5
A number is not less than 5 --> x ≥ 5
A number is at most 5 --> x ≤ 5
A number is below 5 --> x < 5
Step-by-step explanation:
Explaining each choice:
"A number is larger than 5": x > 5 is correct because the statement is implying numbers greater than 5.
"A number is not less than 5" x ≥ 5 is correct because the statement is implying numbers greater than or EQUAL to 5.
"A number is at most 5" x ≤ 5 is correct because the inequality shows numbers less than or EQUAL to 5.
"A number is below 5" x < 5 is correct because the inequality depicts numbers LESS THAN 5.
The total purchase price of a new home entertainment system is $14 comma 230. If the down payment is $2300 and the balance is to be financed over 72 months at 5% add-on interest, what is the monthly payment?
Answer: the monthly payment is $192
Step-by-step explanation:
The cost of the new home entertainment system is $14230.
If the down payment is $2300, then the balance to be paid would be
14230 - 2300 = $11930
We would apply the periodic interest rate formula which is expressed as
P = a/[{(1+r)^n]-1}/{r(1+r)^n}]
Where
P represents the monthly payments.
a represents the amount of the balance
r represents the annual rate.
n represents number of monthly payments. Therefore
a = $11930
r = 0.05/12 = 0.0042
n = 72 months
Therefore,
P = 11930/[{(1+0.0042)^72]-1}/{0.0042(1 + 0.0042)^72}]
11930/[{(1.0042)^72]-1}/{0.0042(1.0042)^72}]
P = 11930/{1.352 -1}/[0.0042(1.352)]
P = 11930/(0.353/0.0056784)
P = 11930/62.125
P = $192
Which of the equations below represents this situation
Answer:
Y= 8*x
Step-by-step explanation:
You can notice that the graph is a straight line that crosses the origin so it's a graph that has an equation written this way : y= a*x
a is the slope
You can easily find it by notice that the image of 1 is 8
So a = 8
Then y= 8*x
Answer:
[tex]y=8x[/tex]
Step-by-step explanation:
Well drawing the line further then we can tell the y intercept is 0.
So we have to find the SLOPE using the following formula
[tex]\frac{y^2-y^1}{x^2-x^1}[/tex]
So we need two points on the line, we can use the following
(1,8) and (2,16)
So 16 is y2 and 8 is y1 so 16-8 is 8.
2-1 is 1.
So the slope is 8x.
Do the equation is [tex]y=8x[/tex]
We don’t have to put the y intercept because it is 0.
A cup holder in a car contains 19 quarters, 39 dimes, some number of nickels, and 58 pennies. If all the coins in the cup holder equal $10.08, then how many nickels are in the cup holder?
Answer:
17 nickels
Step-by-step explanation:
To be able to find the answer, you can say that the sum of the value of each coin multiply for its quantity is equal to 10.08, which you can express as follows:
quarters= 0.25
dimes= 0.10
nickels= 0.05
pennies= 0.01
(0.25*19)+(0.10*39)+(0.05*x)+(0.01*58)=10.08, where
x= the quantity of nickels
Now, you can solve for x:
4.75+3.9+0.05x+0.58=10.08
0.05x=10.08-4.75-3.9-0.58
0.05x=0.85
x=0.85/0.05
x=17
According to this, the answer is that there are 17 nickels in the cup holder.
Eight years ago, twice Manuel's age was 36. What is Manuel's age now? Pls hell
Answer:
Hey there!
Eight years ago, Manuel's age was 36/2, or 18.
Now, his age is 18+8, or 26 years old.
So, he is 26 years old now.
Hope this helps :)
factor 49x8−16y14 please answer as quick as possible
Answer:
(4y7+7x4)(−4y7+7x4)
Step by Step:
Factor 49x8−16y14
−16y14+49x8
=(4y7+7x4)(−4y7+7x4)
The factor of the expression 49x⁸ − 16y¹⁴ is (7x⁴ - 4y⁷) and (7x⁴ + 4y⁷) after using the identity.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that:
49x⁸ − 16y¹⁴
As we know the polynomial identity:
Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
a² - b² = (a - b)(a + b)
The expression 49x⁸ − 16y¹⁴ can be written as:
= (7x⁴)² − (4y⁷)²
After using the identity: a² - b² = (a - b)(a + b)
= (7x⁴ - 4y⁷)(7x⁴ + 4y⁷)
Thus, the factor of the expression 49x⁸ − 16y¹⁴ is (7x⁴ - 4y⁷) and (7x⁴ + 4y⁷) after using the identity.
Learn more about the expression here:
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The value of -9 is than the value of -12 because -9 is to the of -12 on the number line.
Answer: greaterright
Step-by-step explanation:
What is the slope of the line that passes through (5,-2) and (-3,4)
Answer:
Slope = [tex]\frac{-3}{4}[/tex]
Step-by-step explanation:
(5 , -2) ; (-3, 4)
[tex]Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{4-[-2]}{-3-5}\\\\=\frac{4+2}{-3-5}\\\\=\frac{6}{-8}\\\\=\frac{-3}{4}\\\\[/tex]