Answer:
Hello,
a,b are primes : 6*a and 6*b
Step-by-step explanation:
Imagine 2 differents primes numbers (not (2 or 3) ), a and b.
Number one is 2*3*a and number two is 2*3*b.
examples:
a=5 and b=7 , n1=2*3*5=30 ,n2=2*3*7=42 becaus gcd(n1,n2)=6
a=7 and b=11, n1=2*3*7=42 , n2=2*3*11=66
...
I need e and f
And some explanation
HELP PLEASEEEEEEEEEEEEEEEEEEEE
Answer:
3 9/50
Step-by-step explanation:
3.18 is 3 18/100
Simplifying it further you get: 3 9/50
Answer:
3 9/50OAmalOHopeO
i need help. i don't understand this at all.
Answer:
Step-by-step explanation:
If this is in terms of angles, 4x+6 must be equal to 90 since it is half of the angle produced by a line (180°) So solving for 4x+6=90, x=21
pls help i need both blanks the options for the second one is left, right, up, down PLS HURRY ITS TIMED!!
Answer:
The graph is shifted 7 units right and 5 units up.
SOMEONE PLEASEEE HELP MEEE OUTTTT!!!
Answer:
cos x= 11/19
x=54.62
Step-by-step explanation:
use cosine to find the angle
What is the slope of the line given by the equation y=11.2x?
Answer:
slope = 11.2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 11.2x ← is in slope- intercept form
with slope m = 11.2
HELPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
1/25 of a mile per minute, I think
Step-by-step explanation:
Answer:
1/25
Step-by-step explanation:
V=S:t=1/5÷5=1/5*1/5=1/25
In a group of 120 people, 90 play volleyball, 72 play football and 1o play neither of games. Find the number of people who play volleyball as well as football. Construct Venn-diagram to represent the given information.
Answer:
Step-by-step explanation:
10 people don’t play volleyball 120-10=110 110 play one or both games 90+72 =162 which is > 110 by 52
There are 52 people who play volleyball as well as football.
The Inclusion Exclusion PrincipleLet A, B be two different sets the,
n (A ∪ B) = n (A) + n (B) − n (A ∩ B) .
What is Venn diagram?
"A Venn diagram is a diagram that uses overlapping shapes to illustrate the logical relationships between two or more sets."
For given situation:
Let set A: People playing volleyball
set B: People playing football
⇒ n(A) = 90
⇒ n(B) = 72
Given group is of 120 people.
10 people play neither of games.
This means, only 110 people play football or volleyball or both.
⇒ n(A ∪ B) = 110
Using the Inclusion Exclusion Principle,
n (A ∪ B) = n (A) + n (B) − n (A ∩ B)
⇒ 110 = 90 + 72 - n (A ∩ B)
⇒ n(A ∩ B) = 52
Therefore, 52 people play volleyball as well as football.
Venn-diagram for given information is as shown below.
Learn more about Venn diagram here:
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What is the explicit formula for this sequence?
-9, -3, 3, 9, 15,
Answer:
+6
Step-by-step explanation:Look at the trend of numbers and notice. Maybe put it in a table.
Determine which equations have the same solution set as StartFraction 2 Over 3 EndFraction minus x plus StartFraction 1 Over 6 EndFraction equals 6 x. – x + = 6x by recognizing properties, rather than solving. Check all that apply.
Answer:
A, B, F
Step-by-step explanation:
2/3 - x + 1/6 = 6x
Collect like terms
2/3 + 1/6 = 6x + x
(4+1) / 6 = 7x
5/6 = 7x
x = 5/6 ÷ 7
= 5/6 × 1/7
x = 5/42
a) 4 - 6x + 1 = 36x
4 + 1 = 36x + 6x
5 = 42x
x = 5/42
Equivalent to the last step of the simplification above
b) 5/6 - x = 6x
5/6 = 6x + x
5/6 = 7x
This is equivalent to the third step of the simplification
c) 4 - x + 1 = 6x
4 + 1 = 6x + x
5 = 7x
x = 5/7
Not equivalent to any of the steps in the simplification above
d) 5/6 + x = 6x
5/6 = 6x - x
5/6 = 5x
x = 5/6 ÷ 5
= 5/6 × 1/5
x = 5/30
Not equivalent to any of the steps in the simplification above
e) 5 = 30x
x = 5/30
Not equivalent to any of the steps in the simplification above
f) 5 = 42x
x = 5/42
Equivalent to the last step of the simplification above
find sine of angle of inclination to the axis is of line y=1/3x√3+3
Answer:
1/2.
Step-by-step explanation:
The inclination of the line to the x axis = 1/3*√3
= √3/3.
This is the tangent of the angle.
The sine of the angle =√3/hypotenuse.
The hypotenuse = √( √3)^2 + 3^2) (By the Pythagoras theorem)
= √12
= 2√3
Therefore the required sine is √3/ 2√3
= 1/2.
I think that's what you want!!
Mrs. Kennedy is teaching an 8th grade class. She is standing 7 meters in front of Catherine. Davis is sitting to Catherine’s left. If Davis and Mrs. Kennedy are 12 meters apart, how far apart are Davis and Catherine?
13.90 meters
5 meters
9.75 meters
4.36 meters
Answer:
9.75 meters
Step-by-step explanation:
Davis and Catherine are approximately 13.90 meters apart.
How to determine distance apartTo find the distance between Davis and Catherine, we can use the concept of right triangles and apply the Pythagorean theorem.
Let's consider a right triangle where the distance between Davis and Mrs. Kennedy is the base, the distance between Mrs. Kennedy and Catherine is the height, and the distance between Davis and Catherine is the hypotenuse.
According to the given information, Mrs. Kennedy is 7 meters in front of Catherine, and Davis and Mrs. Kennedy are 12 meters apart.
Using the Pythagorean theorem, we have:
(Base)² + (Height)² = (Hypotenuse)²
Substituting the given values:
(12)² + (7)² = (Hypotenuse)²
Simplifying the equation:
144 + 49 = (Hypotenuse)²
193 = (Hypotenuse)²
Taking the square root of both sides:
√193 ≈ 13.89 = 13.90
Therefore, Davis and Catherine are approximately 13.90 meters apart.
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What are the possible steps involved in solving the equation shown? Select three options.
3.5 + 1.2(6.3 – 7x) = 9.38
Answer:
x=5
Step-by-step explanation:
Use the distributive property and the addition and subtraction properties of equality to solve.
3.5+7.56-8.4x=9.38
11.06-8.4x=9.38
-8.4x=-1.68
x=5
Answer:
options:
B,C,D
Step-by-step explanation:
What point lies on the line with point slope equation y-3=4(x+7)?
Answer:
(-7, 3)
General Formulas and Concepts:
Algebra I
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define
Identify
y - 3 = 4(x + 7)
↓ Compare to Point-Slope Form
Point (-7, 3)
Slope m = 4
Please help me out . Find x please
Step-by-step explanation:
180-46 = 134
180 - 13 = 177
177-134 = 43
? = 43
In circle D, which is a secant?
G
F
С
Н
Оооо
В 12 13
E
В
Answer:
GH
Step-by-step explanation:
A secant is a straight line which cuts the circle at 2 points
GH and FE both do this but FE is a special secant, that is the diameter
Then GH is a secant
Find the product. (-2x^2)^3 ·3x
Answer:
-24 x^7
Step-by-step explanation:
(-2x^2)^3 ·3x
(-2x^2) (-2x^2) (-2x^2)*3x
-8 x^6 *3x
-24 x^7
what is the length of de
Answer:
x = 6
Step-by-step explanation:
Since <F = <F, this shows that the triangles are similar. Therefore:
XZ/DF = XY/DE
12/8 = 9/X
Cross multiply
12X = 9*8
12X = 72
X = 72/12
X = 6
Hence the value of x is 6
I got H / 75 but I might be wrong any confirmation
Answer:
30
Step-by-step explanation:
Angle PNM = 180-105
= 75
IF PM = PN then
<PNM = <PMN = 75
<PMN + <PNM + <P = 180 since they form a triangle
75 + 75 + x = 180
150+x = 180
x = 180-150
x = 30
Answer:
<MPN = 40°Step-by-step explanation:
180° - <PNQ = <PNM ( Angles in a straight line )
180° - 105° = 75°
<PMN = < PNM = 75°
<PMN + <PNM + <MPN = 180°
75 ° + 75° + <MPN = 180°
<MPN = 180° - 150°
<MPN = 30°
Bill earns $12 per hour and works at most 40 hours per week. Identify the independent and dependent quantity in the situation, and find reasonable domain and range values
A soccer field is a rectangle 80 meters wide and 100 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?
Answer:
128.06
Step-by-step explanation:
think about the diagonal of the field, breaking up a rectangle into 2 right angled triangles. we are already given the legs of the triangle (80, and 100) and now we have to solve for the hypotenuse (or the diagonal). so use pythagorean theorem :
80^2 + 100^2 = c^2
16400 = c^2
c = 128.06
What is the perimeter of this parallelogram? Please help asap!
Find linear models for each set of data. In what year will the two quantities be equal? x y 1970 67.8 1975 69.6 1980 70.5 1985 71.4 1990 72 1995 72.4 2000 74.1
Answer:
The graph solution is defined in the attachment file please find it.
Step-by-step explanation:
The first line equation:
[tex]\to Y= 0.22x + 67.5\\\\[/tex]
The second line equation:
[tex]\to Y= 0.15x + 75.507\\\\[/tex]
Intersection points:
[tex]\to (114.387,92.665)\\\\[/tex]
By adding the value of the first year (1970) into the x-value that is
[tex]\to 114.387+1970=2084.387[/tex]
The exchange rate for converting US dollars to Chinese yuan is $6.11 how much is US$600 worth in China
Answer:
96 yuan
Step-by-step explanation:
We know how much one yuan is, so we can convert that to $1, Then multiply by 600. To find a USD, we need to divide the yuan by the dollar.
[tex]1/6.11=0.16[/tex]
Now we have a full dollar, and we need to multiply the yuan by 600 to get our 600 dollar value.
[tex]0.16*600=96[/tex]
b. Compare the similar triangle proof from question 3 with the inscribed square
proof. How are they different? Which method was easier for you to understand?
(1 point)
Answer:
i might be wrong but this is what i put
Step-by-step explanation:
In question 3 it was comparing three triangles where now it is using the triangles to find the area of a square instead of proving that they are the same.
Diagram shows triangle ABC.
Workout the size of angles x,y,z
x= 70*
y= 30*
z= *
1)The sum of two consecutive multiples of 5 is55. Find these multiples.
2)The sum of three consecutive integers is 93. What are the integers?
3)If five is subtracted from three times a number, the result is 10. What is the number?
Part 1
Let the consecutive multiples be 5x and 5x + 5
ATQ
5x + 5x + 5 = 55
10x = 55 - 5
10x = 50
x = 5
Answer is 25 and 30
Part 2
Let the number be x , x + 1, x + 2
ATQ
x + x + 1 + x + 2 = 93
3x + 3 = 93
3x = 93 - 3
x = 90/3
x = 30
The integers are 30,31 and 32
Part 3
Let the number be x
ATQ
3x - 5 = 10
3x = 10 + 5
x = 15/3
x = 5
The number is 5
Answered by Gauthmath must click thanks and mark brainliest
What is something you do that can be set up as a two step equation? How would you set that up as an equation to explain to someone else how it can be solved?
As the name implies, a two-step equation is an equation that is solved in just two steps. There are several two-step equations; an example that can be set up as a two-step equation is a target savings with an initial amount and a constant rate of savings.
To set up the target savings equation, we consider the following parameters (I will assume values for the parameters).
[tex]Amount = \$1000[/tex]
[tex]Initial\ Capital = \$50[/tex]
[tex]Rate = \$2[/tex]
Let x be the number of savings.
[tex]Initial\ Capital + Rate \times x= Amount[/tex] ----- the equation
Mathematically, we have:
[tex]50 + 2x = 1000[/tex]
The equation is solved as follows:
The first step is to isolate the variable term by subtracting 50 from both sides
So, we have:
[tex]2x = 950[/tex]
The second step is to solve for x by dividing both sides of the equation by 2
[tex]x = 475[/tex]
This means that you have to save $2 in 475 times to reach the target amount
Read more about two-step equations at:
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This Venn diagram shows the pizza topping preferences for 9 students.
What elements are in A and B?
(Look at picture)
Answer:
I think the answer is C.
1. Determine the sum of the first 53 terms of the following series: 179+173+167+...
2. Determine the sum of the first 19 terms of the following series: 6−12+24−48+...
(1) This series consists of terms of an arithmetic sequence:
179 - 173 = 6
173 - 167 = 6
and so on, so that the n-th term in the series is (for n ≥ 1)
a(n) = 179 - 6 (n - 1) = 185 - 6n
Then the sum of the first 53 terms is
[tex]\displaystyle\sum_{n=1}^{53}(185-6n) = 185\sum_{n=1}^{53}1-6\sum_{n=1}^{53}n[/tex]
[tex]\displaystyle\sum_{n=1}^{53}(185-6n) = 185\times53-6\times\frac{53\times54}2[/tex]
[tex]\displaystyle\sum_{n=1}^{53}(185-6n) = \boxed{1219}[/tex]
(2) This series has terms from a geometric sequence:
-12 / 6 = -2
24/(-12) = -2
-48/24 = -2
and so on. The n-th term is (again, for n ≥ 1)
a(n) = 6 (-2)ⁿ⁻¹
and the sum of the first 19 terms is
[tex]\displaystyle\sum_{n=1}^{19}6(-2)^{n-1} = 6\left(1 + (-2) + (-2)^2 + (-2)^3 + \cdots+(-2)^{19}\right)[/tex]
Multiply both sides by -2 :
[tex]\displaystyle-2\sum_{n=1}^{19}6(-2)^{n-1} = 6\left((-2) + (-2)^2 + (-2)^3 + (-2)^4 + \cdots+(-2)^{20}\right)[/tex]
Subtracting this from the first sum gives
[tex]\displaystyle(1-(-2))\sum_{n=1}^{19}6(-2)^{n-1} = 6\left(1 -(-2)^{20}\right)[/tex]
and solving for the sum, you get
[tex]\displaystyle3\sum_{n=1}^{19}6(-2)^{n-1} = 6\left(1 -(-2)^{20}\right)[/tex]
[tex]\displaystyle\sum_{n=1}^{19}6(-2)^{n-1} = 2\left(1 -(-2)^{20}\right)[/tex]
[tex]\displaystyle\sum_{n=1}^{19}6(-2)^{n-1} = 2\left(1 -(-1)^{20}2^{20}\right)[/tex]
[tex]\displaystyle\sum_{n=1}^{19}6(-2)^{n-1} = 2\left(1 -2^{20}\right) = 2-2^{21} = \boxed{-2,097,150}[/tex]
