Answer:
x ≥ 15, interval notation x ∈ [15, +∞)x < 10, interval notation x ∈ (-∞, 10)Combined together:
x ∈ (-∞, 10) ∪ [15, +∞)So
15≤x<10
Interval notation
[15,10)Another way
(-oo,10)U[15,oo)10 is not included so open bracket
Michael gets 52% better at press
ups. He used to be able to do 62.
How many can he do now?
Answer:
94 press ups
Step-by-step explanation:
62 x 1.52 = 94.24
≈94
What is the distance between point A and point B?
Answer:
point B 3 up and down 1
Step-by-step explanation:
M^2 - 4m +8 = -21
Solve the quadratic equation by completing the square
Answer:
m^2-4m=-29
m^2-4m+4=-29+4
(m-2)^2=-25
m=2+-5i
Solve the following system of equations using the substitution method.
y = -2
4x - 3y = 18
A) (-3,2)
B) (3,-6)
C) (3,6)
D) (3,-2)
The diameter of a circle is 18 cm. Find its area in terms of pi
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
compare these integers
-10_____ 1
A.<
B.=
C.>
Answer:
-10<1
which means that -10 is less than 1
Answer:
A
Step-by-step explanation:
-10 is smaller than 1 because all the negative numbers are less than 0 and all other positive numbers
Help me pls))))
When you show a friend your idea for an art project, he says the idea is too superficial. What can you do to fix this?
A) Strengthen and lengthen your research process.
B)Abandon the idea all together.
C)Add another topic to your original topic.
D) Ignore your friend and create the artwork anyway
What is the measure of angle N?
Answer:
42.7+90+N=180
132.7+N=180
N=180-132.7
Angle N =47.3°
A right triangle is formed by connecting coordinates (5, -2), (2, -3), and (-1, 6). What is the area of the triangle in square units?
Answer:
the triangle formed from the coords is 3cm by 9cm so try 3 × 9 = 27 then 27 ÷ 2 = 13.5 from the formula a = ½bh?
Step-by-step explanation:
The area of the triangle is equal to 25√2 square units.
What is coordinate geometry?A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
Given that a right triangle is formed by connecting coordinates (5, -2), (2, -3), and (-1, 6).
The area will be calculated as,
Side = √ [ ( -3 + 2 )² + ( -2 - 5 )² ]
Side = √ ( 1 + 49)
Side = √50
Base = √ [ ( 6 + 3 )² + ( -1-2)² )
Base = √ ( 81 + 9 )
Base = √100
The area will be calculated as,
Area = (1/2) x B x H
Area = (1/2) x √50 x √100
Area = (1/2) x √50 x 10
Area = 5 x √( 25 x 2 )
Area = 25√2 square units
To know more about coordinate geometry follow
https://brainly.com/question/19044159
#SPJ5
Can anyone help me pls? Ur a legend if u can!
At a middle school 82 students have freckles. There are 352 students at the school. To the nearest tenth of a percent what percent of students have freckles?
Answer:
23.3%
Step-by-step explanation:
divide
82/352
.2329
aka
23.29%
round
23.3%
Jackson bought a pair of jeans on sale for $25.00. The original cost of the jeans was $40.00. What percent represents the discount Jackson received when buying the jeans?
Answer:
37.5% discount
Explained:
$40-$25=$15
$15/$40=.375
What are the coordinates of point C?
A (0,0)
B (4,0)
C (0,3)
D ( 0,4)
Answer:
.
Step-by-step explanation:
Answer:
The correct answer is D. (0,4)
If the effective annual interest rate of a loan is 14.6%, what is the nominal annual interest rate, correct to one decimal
place, if interest compounds monthly?
Answer:
13.7%
Step-by-step explanation:
Nominal interest rate = [tex](\sqrt[m]{1 + effective annual interest rate} - 1 \ ) m[/tex]
where m = number of compounding = 12
([tex]\sqrt[12]{1.146}[/tex] - 1 ) x 12 = 0.137054 = 13.7%
To round to one decimal place means that there should be only one figure after the decimal place.
Can you help me step by step
Answer:
n = -7
Step-by-step explanation:
n - 7/4 = 35/12 + 5/3n
subtract n from both sides of the equation:
-7/4 = 35/12 + 2/3n
convert -7/4 to -21/12:
-21/12 = 35/12 + 2/3n
add 21/12 to both sides:
0 = 56/12 + 2/3n
convert 2/3n to 8/12n:
0 = 56/12 + 8/12n
subtract 56/12 from each side:
8/12n = -56/12
multiply both side by 12:
8n = -56
divide both sides by 8:
n = -7
The factor by grouping method found the GCF's of the original polynomial to be "5x" and "+6."
When you factor those out, you have this remaining:
5x(x + 3) + 6(x + 3).
What is the final answer?
Group of answer choices
(x + 3)(30x)
(x + 3)(5x + 6)
(x + 3)(11x)
Prime
Answer:
(5x + 6) (x + 3)
hope it helps
2. Dwayne scored 55 points in the last basketball game, which is 10 points more than his previous personal best. Lebron scored 15 points more than Chris in the
same game. Lebron scored the same number of points as Dwayne’s previous personal best.
Write two algebraic equations, let d represent the number of points Dwayne scored during his previous personal best and c represent the number of Chris’s points.
Answer:
Required equations are:
d + 10 = 55c + 15 = dSolving the first, we get:
d = 55 - 10d = 45Solving the second we get:
c + 15 = 45c = 45 - 15c = 30
Which table represents a function?:))))))
-2
-1
0
-1
-2.
y
0
1
1
2
2
-2
_1
0
1
2
-1
-1
0
1
2
2
1
0
1
2
y
-2
-1
0
1
2
_1
-1
0
2
2
Y
-2
-1
0
1
2
Answer:
x y
2 -2
-1 -1
0 0
1 1
2 2
Step-by-step explanation:
It's the only table that doesnt repeat a number separately on the domain or range
Answer:yeah
Sp the person above did it well
Step-by-step explanation:
e
please teash me how to do
Answer:x=40
Step-by-step explanation: So since we know that AD is parallel to BC We know that M<c and M<a are congruent so we can use this equation to solve for x
2x-20= x+20
+20 +20
2x=x+40
-x -x
x=40
Use picture
Identify all values of x that make the equation true.
1.
2+1 =
2-15
2+11
1
2+5
1
O x=-11,-5
O x=-2, -7
x=11,5
x=2, 7
f (x) = -(x – 3)2 + 1
Vertex:
AOS:
Direction of opening:
Domain:
Range:
Solutions:
Tracy put $80 into an investment account where she earns 4% interest per year. What was the amount of interest Tracy earned after three years
I will mark braliest if you answer and no links pls.
Answer:
You are correct.
Bryan calculated the area of a square to be 18/32 square foot. Which shows the side length of the square? (Hint: Simplify. Also, area of a square is side x side.)
Answer:
x = 0.75 feet
Step-by-step explanation:
The area of a square is 18/32 square foot
We need to find the side length of the square.
The area of a square of side x is given by :
[tex]A=x^2[/tex]
Substitute all the values,
[tex]x=\sqrt{A} \\\\x=\sqrt{\dfrac{18}{32}} \\\\x=0.75\ feet[/tex]
So, the side length of the square is equal to 0.75 feet.
What is the value of x in the
equation below?
5x +9= 74
Si elegimos un día de la semana al azar, ¿qué probabilidad hay de que sea fin de semana (ya sabemos que hay dos días…)?
Answer:
La probabilidad que hay de que sea fin de semana es [tex]\frac{2}{7}[/tex]
Step-by-step explanation:
La Probabilidad es la mayor o menor posibilidad de que ocurra un determinado suceso. En otras palabras, la probabilidad establece una relación entre el número de sucesos favorables y el número total de sucesos posibles. Entonces, la probabilidad de un suceso cualquiera A se define como el cociente entre el número de casos favorables (número de casos en los que puede ocurrir o no el suceso A) y el número total de casos posibles. Esta se denomina Ley de Laplace.
[tex]P(A)=\frac{numero de casos favorables}{numero de casos posibles}[/tex]
En este caso:
número de casos favorables: 2 (cantidad de días del fin de semana)número de casos posibles: 7 (cantidad de días totales en la semana)Reemplazando:
P(A)= [tex]\frac{2}{7}[/tex]
La probabilidad que hay de que sea fin de semana es [tex]\frac{2}{7}[/tex]
Which set of ordered pairs represents a function?
What is a simpler form of (3x-4)(x+2)?
Answer: 3x^2+2x-8
Step-by-step explanation:
Answer:
3xto the power of 2+2x -8
PLEASE HELP ASAP THANK YOUU: A unicycle wheel makes five rotations. The unicycle travels 37.94 feet. Find the diameter of the wheel in inches.
Show your work and write your answer in a sentence.
Answer:
diameter of the wheel = 28.98 in (2 d.p.)
Step-by-step explanation:
Given information:
A unicycle wheel makes five rotationsThe unicycle travels 37.94 feetCircumference of a circle = πd (where d is the diameter)
One rotation of the wheel is equal to the circumference of the wheel.
Therefore, 5 rotations is equal to the sum of 5 circumferences.
To find the diameter of the wheel in feet, equate the expression for 5 circumferences to the total distance traveled and solve for d:
[tex]\begin{aligned}\textsf{5 circumferences} & = \textsf{total distance traveled}\\\implies 5 \pi d & = \sf 37.94\: ft\\d & = \sf \dfrac{37.94}{5 \pi}\\d & = \sf 2.415335416... \:ft \end{aligned}[/tex]
As 1 foot = 12 inches, multiply the found diameter in feet by 12 to calculate the diameter in inches:
[tex]\begin{aligned}d & =2.415335416... \times 12\\\implies d & = \sf 28.98\:\:in\:(2\:d.p.)\end{aligned}[/tex]
Therefore, the diameter of the wheel is 28.98 in (2 d.p.).
solve for 'x' given that;
3 sin( 3x-20°) = 2 for 0° ≤ x ≤ 180°
Answer:
x ≈ 20.6°
Step-by-step explanation:
3 sin( 3x-20° ) = 2 → sin( 3x-20° ) = ⅔ → 3x - 20° = arcsin(⅔) → 3x = 20° + arcsin(⅔) →
x = ⅓(20° + arcsin(⅔)) , arcsin(⅔) = 41.81°
x = ⅓( 20° + 41.81° ) = ⅓(61.81°) ≈ 20.6°
Kelli Rae invested $220,000 in a savings account with simple interest. After 10 years, Kelli Rae had $250,000. What is the interest rate on this account?
Answer:
Interest rate = 1.363% (Approx.)
Step-by-step explanation:
Given:
Amount invested P = $220,000
Amount after 10 year = $250,000
Number of year = 10 year
Find:
Interest rate
Computation:
A = P + I
Amount of interest = $250,000 - $220,000
⇒ Amount of interest = $30,000
Amount of interest = PRT
⇒ 30,000 = (220,000)(R)(10)
⇒ 30,000 = (2,200,000)(R)
⇒ R = 0.013636
Interest rate = 1.363% (Approx.)