Answer:
7 and 11
Explanation:
Prime numbers are numbers that have only 2 factors; one and themselves.
Hope this helps!
Answer:
Only 7 and 11 are prime.
Step-by-step explanation:
prime numbers are numbers whose factors are only one and them selves
Factor x2−6x+8 (x+2)(x+6) (x−4)(x−2) (x−5)(x−3) (x+4)(x−4)
Answer:
(x-4) (x-2)
Step-by-step explanation:
x^2−6x+8
What 2 numbers multiply to 8 and add to -6
-4*-2 = -8
-4+-2 = -6
(x-4) (x-2)
Suppose $p$ and $q$ are inversely proportional. If $p=28$ when $q=7$, find the value of $p$ when $q=49$.
Answer:$p$ =$4 when $q=49$.
Step-by-step explanation:
If $p$ and $q$ are inversely proportional, then mathematically, they are represented as
$p$ ∝ 1/$q$
So that introducing the constant of proportionality,k becomes
$p$ =k 1/$q$
$p$ =k /$q$
When $p=28$ when $q=7$,K becomes
$p$ =k /$q$
$28=K/ $7
k=$28 x $7 =$196
Now when $q=49$., $p$ becomes?
$p$ =k /$q$
$p$ =$196/49$
$p$ =$4
Solve for the roots using the quadratic formula. Express your answers to two decimal places.
2x^2 − 5x − 1 = 0
Answer:
x = 2.69 or x = -0.19
Step-by-step explanation:
Given:
2x² − 5x − 1 = 0
x = {-b ± √b² - 4ac} / 2a
a = 2
b = -5
c = -1
x = {-b ± √b² - 4ac} / 2a
= {-(-5) ± √(-5)² - 4(2)(-1)} / 2 * 2
= {5 ± √25 - (-8)} / 4
= {5 ± √25 + 8} / 4
= 5 ± √33 / 4
= 5 ± 5.75 /4
x = 5/4 + 5.75/4 or x = 5/4 - 5.75/4
x = 10.75/4 or x = -0.75/4
x = 2.69 or x = -0.19
Will give brainlist!!
Answer:
B
Step-by-step explanation:
Have a wonderful day
pls help me ill give brainliest and no links ty!<3:)
T is the midpoint of PQ
PT=TQ
5x+7 = 7x-7
2x= 14
x= 14/2
x= 7
PT = 5(7)+7 = 42
Find three consecutive odd integers such that the sum of twice the first and three times the second is 55 more than twice the third.
Answer:
Step-by-step explanation:
let the numbers be n,n+2,n+4
2n+3(n+2)=2(n+4)+55
2n+3n+6=2n+8+55
2n+3n-2n=63-6
3n=57
n=57/3=19
so numbers are 19,21,23
Answer:
-19.333…
-18.333…
-17.333…
Step-by-step explanation:
First is x
Second is x+1
Third is x+2
2x+3(x+1)=2(x+2)-55
2x+3x+3=2x+4-55
5x+3=2x-51
5x-2x=-51-3
3x=-58
3x/3=-58/3
x=-19.333…
x+1=-19.333+1
=-18.333...
x+2=-19.333+2
=-17.333...
what is 345% written in decimal form? i really need help :( thanks if u can!!
The circumference of a circle is 32 centimeters. Find the radius of this circle.
a. about 201.06 cm c. about 5.09 cm
b. about 100.53 cm d. about 10.19 cm
Answer:
r≈5.09cm
Step-by-step explanation:
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Please use the following image for the next 7 questions. Keep in mind that because XY is tangent to circle M, XM and XM form a right angle.
XM = 11 and YM = 36.
What is the area of circle M?
What is the circumference of circle M?
Find the length of XY .
Find the measure of angle M.
Find the area of triangle XYM.
Find the area of the minor sector that has been created as part of triangle XYM.
Find the arc length of the minor arc from point X to the point where YM intersects with the circle.
Step-by-step explanation:
• the area of circle M = 3.14×11² = 379.94
• the circumference of circle M =
2×3.14×11 = 69.08
• XY =√36²-11²=√1296-121=√1175=34.28
• L M = cos~¹ 11/36 = cos~¹0.3055 = 72.21°
• the area of triangle XY = ½×11×34.28
= 188.54
• the area of minor sector
= 72.21/360 × 379.94 = 76.20
• the minor arc from point X to
the point where YM intersects
withthe circle
= 72.21/360 × 69.08 = 13.86
A coach writes the batting order of his starting 9 out of the team of 20 on a piece of paper. How many different ways could the list be written?
Answer:
Total number of orders = 77,520
Step-by-step explanation:
Given:
Number of students on team = 20
Number of students on the starting line =9
Find:
Total number of orders
Computation:
Total number of orders = 20! / [20 - 7]!(7!)
Total number of orders = 20! / [13]!(7!)
Total number of orders = [20 x 19 x 18 x 17 x 16 x 15 x 14] / [7 x 6 x 5 x 4 x 3 x 2 x 1]
Total number of orders = 77,520
The number of different ways that the list can be written will be 167,960.
What are permutation and combination?A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.
A coach writes the batting order of his starting 9 out of the team of 20 on a piece of paper.
The number of different ways that the list can be written will be
²⁰C₉ = 20! / [(20 - 9)! x 9!]
²⁰C₉ = 20 x 19 x 18 x 17 x 16 x 15 x 14 x 13 x 12 x 11! / (11! x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)
²⁰C₉ = 167,960
The number of different ways that the list can be written will be 167,960.
More about the permutation and the combination link is given below.
https://brainly.com/question/11732255
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Use the substitution method to solve the system of equations. Write your answer as an order pair. y=x-2 and y=-2x+7
Answer:
The Coordinates are (3, 1)
Step-by-step explanation:
Use the substitution method to solve the system of equations.
Let y = x - 2 be Equation 1
Let y = -2x + 7 be Equation 2
We know that the coordinates are (3, 1) because we graphed the slope intercept equations in part one. Its asking to use the substitution method to prove that the coordinates (3, 1) are viable or satisfies both Equation 1 and 2.
The substitution method is nothing but substituting x and y back into the equation to prove that the coordinates are viable.
For this I'll use equation 1 first,
y = x - 2
1 = 3 - 2
So yes, the coordinates (3, 1) satisfy Equation 1
Lets check equation 2 now,
y = -2x + 7
1 = -2*3 + 7
1 = -6 + 7
This is also another equation where the coordinates (3, 1) satisfy equation 2
So this means that the coordinates (3, 1) are viable for both equations
Hope this helps!
A TV has a listed price of $695.95 before tax. If the sales tax rate is 7.75%, find the total cost of the TV with sales tax included. Round your answer to the nearest cent, if necessary.
Answer:
$749.89
Step-by-step explanation:
TV price = 100% = 695.95
Sales TAX = 7.75% = x
Total price = 107.75% = x dollars
1.0775 * 685.95 = 749.886125 ≈ 749.89
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
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Combine the radicals 9 x-3 x
6
6 x
-6 2x
-6
Answer:
6xStep-by-step explanation:
9x - 3x
[When like terms are combined then as per statement they get subtracted]
= 6x (Ans)
please help am stuck on this
write the set of positive even numbers that Is less than 15 using both the notations
Answer:
Let the set be X.
X = {x ∈ N : 2x < 15}
X = {2, 4 , 6 , 8 , 10, 12 , 14}
Write the Slope Intercept Form equation of the line that passes through the points (−24,8) and (−12,28).
Answer:
y = 5/3x + 48
Step-by-step explanation:
y2 - y1 / x2 - x1
28 - 8 / -12 - (-24)
20 / 12
5/3
y = 5/3x + b
8 = 5/3(-24) + b
8 = -40 + b
48 = b
HELP ME PLEASE
find the volume???
Answer:
5.24m
Step-by-step explanation:
volume of a cone = (1/3)πr²h
= (1/3)×(22/7)×1²×5
= 5.24m
HELP WILL GIVE BRAINLIEST SHOW WORK LOOK AT IMAGE
If t and m are positive, t^2 + m^2 = 64 and (t+m)^2 = 98, what is tm?
(A) 162
(B) 130
(C) 81
(D) 34
(E) 17
Answer:
17
Step-by-step explanation:
t^2 + m^2 = 64
(t+m)^2 = 98
(t+m)^2 = t^2 +2tm+ m^2
==>
t^2 +2tm+ m^2 = 98
t^2+m^2+2tm=98
64+ 2tm=98
2tm = 98 -64
2tm=34
tm= 34/2
tm = 17
An isosceles triangle always has three interior angles that measure 60° each.
Is it true or false?
Please give real answers with explanation. 100 points + I will give brainliest. No Docs/No Files/No Links only answer with explanation.
Answer:
False
Step-by-step explanation:
The definition given is that of an equilateral triangle, NOT that of an isosceles triangle. An isosceles triangle has at least two angles that are equal by definiton. They need not be 60 degrees. For example, a triangle with angle measures of 140, 20, and 20 is an isosceles triangle because two of the angles are equal. Hope this helped!
Lee drove 635 miles and used 25 gallons of gasoline. How many miles did Lee's car travel per gallon of gasoline?
Find the value of x when : 2^30/8^9=2^x
The line means divide
please i need step by stem explanation I already know answer
Answer:
x = -3
Step-by-step explanation:
Okay, the first thing to do is get that 8 away from the fraction. How can we do it? When you have 2³ you have 8, is the same thing, so let's do it:
2³⁰/(2³)⁹ = 2^x
When you have a number with the shape (a^x)^y, you can write it as a^(x•y), so:
(2³)⁹ = 2^3•9 = 2²⁷
Now we have:
2³⁰/2²⁷ = 2^x
When you have a division like this: (a^x)/(a^y), you can write it as a^(x-y), so:
2^(30-27) = 2^x
2^-3 = 2^x
Now you know that x = -3
given an = -4 + (n - 1)7. what is arithmetic sequence
Answer:
Step-by-step explanation:
The given an = -4 + (n - 1)7 is already an arithmetic sequence with first term -4 and common difference 7. A more proper form would be an = -4 + 7(n - 1).
The first five terms of this sequence are {-4, 3, 10, 17, 24}
help help help help help help help
Answer:
D I believe
Step-by-step explanation:
I may not be correct, but i hope this helps!
help me please please
Answer:
A
Step-by-step explanation:
For a number to be written in scientific notation, you need to have it in the form:
a x 10^n
Where a is between 1 and 10(not including 10), and n is an integer. We can notice that in option A, 0.1(a) is not between one and ten, so it is not in scientific notation.
I need help finding the slope G and J
Answer:
[tex]-\frac{5}{2}[/tex]
Step-by-step explanation:
G(-6 , 2) = (x1 , y1)
J(-4 , -3) = (x2 , y2)
slope = y2 - y1/x2 - x1
=-3-2/-4-(-6)
=-5/-4+6
=-5/2
A(n) _______ is part of a mathematical expression consisting of a constant, or a variable, or the product of a number and a variable, separated from other terms by an operator or a relation symbol.
Answer: Algebraic Expression *-* :)))))) Hope your day is well!!!
"Algebraic Expression" is part of a mathematical expression consisting of a constant, or a variable, or the product of a number and a variable, separated from other terms by an operator or a relation symbol.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; that can be used to indicate the logical syntax's order of operations and other features.
"Algebraic Expression" is part of a mathematical expression consisting of a constant, or a variable, or the product of a number and a variable, separated from other terms by an operator or a relation symbol.
To know more about an expression follow;
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PLEASE HELP!
Adele's checking account balance last month was $4650. If her checking
account pays 1% interest monthly and has a $12 service fee, how much was
the credit to her account?
A. $12.50
B. $34.50
C. $46.50
D. $25.00
which answer represents the series in sigma notation 1+1/4+1/16+1/64+1/256+1/1024+1/4096
Answer:
1/(4^(n-1))
Step-by-step explanation:
if you start at zero then this should be the solution
Four students equally shared 1/2 pan of brownies. What fraction of the whole pan of brownies did each brother get
2 pan......................
.................
Answer:
1/8 of the whole pan
Step-by-step explanation:
Multiply the brothers by 2 to get 8 brothers for 1 whole pan of brownies now what fraction of the pan does each brother get. This method will get the answer 1/8.