Answer:
10 & 4
Step-by-step explanation:
Let the numbers are a and b.
Their average = 7
= > ( a + b ) / 2 = 7
= > a + b = 2 * 7 = 14 ...( 1 )
Also,
= > 3 times of difference between a and b = 18
= > 3( a - b ) = 18
= > a - b = 6 ... ( 2 )
adding ( 1 ) & ( 2 ) :
= > ( a + b ) + ( a - b ) = 14 + 6
= > 2a = 20
= > a = 10
Thus,
= > a + b = 14 → 10 + b = 14
= > b = 14 - 10 = 4
Find the simple interest for 3 years at a rate of 7.5% on $200
Solution,
Principal (P)=$200
Time(t)=3 years
Rate(R)=7.5%
Now,
Simple Interest=PTR/100
=200*3*7.5/100
=4500/100
= $45
Hope it helps
good luck on your assignment
The segments shown below could form a triangle true or false?
Answer:
false
Step-by-step explanation:
i got it right
Answer:true
Step-by-step explanation:
is true if you don’t believe me check the picture
What are the zeros of the function?
f(x)=x3−2x2−3x
A. −1, 0, and 3
B. −3, 0, and 2
C. −2, 0, and 3
D. −3, 0, and 1
Answer:
D
Step-by-step explanation:
Please answer CORRECTLY !!!!! Will mark brainliest !!!!!!!
Answer: 1. a
2. -75
Step-by-step explanation:
Answer:
1.A 2.-75
Step-by-step explanation:
I solved it and got those awnsers
What are the fourth roots of 6+6√(3i) ?
Enter your answer by filling in the boxes. Enter the roots in order of increasing angle measure.
( )cis( )
( )cis( )
( )cis( )
( )cis( )
hello! I've tried looking up videos on how to do this, but I'm very confused as there aren't any that look quite like the one I was given. If someone could help, I'd appreciate that so much!
I can figure out the roots in order of increasing angle measure, so no worries about that, I know how to do that:)
Answer:
Step-by-step explanation:
The genral form of a complex number in rectangular plane is expressed as z = x+iy
In polar coordinate, z =rcos ∅+irsin∅ where;
r is the modulus = √x²+y²
∅ is teh argument = arctan y/x
Given thr complex number z = 6+6√(3)i
r = √6²+(6√3)²
r = √36+108
r = √144
r = 12
∅ = arctan 6√3/6
∅ = arctan √3
∅ = 60°
In polar form, z = 12(cos60°+isin60°)
z = 12(cosπ/3+isinπ/3)
To get the fourth root of the equation, we will use the de moivres theorem; zⁿ = rⁿ(cosn∅+isinn∅)
z^1/4 = 12^1/4(cosπ/12+isinπ/12)
When n = 1;
z1 = 12^1/4(cosπ/3+isinn/3)
z1 = 12^1/4cis(π/3)
when n = 2;
z2 = 12^1/4(cos2π/3+isin2π/3)
z2 = 12^1/4cis(2π/3)
when n = 3;
z2 = 12^1/4(cosπ+isinπ)
z2 = 12^1/4cis(π)
when n = 4;
z2 = 12^1/4(cos4π/3+isin4π/3)
z2 = 12^1/4cis(4π/3)
a man climbs on to a wall that is 4.5m high and gains 2450j 0f potential energy.what is the mass of the man?
Answer:
55.5 kg.
Step-by-step explanation:
Potential energy = mgh
= m * 9.81 * 4.5 = 2450 where m is the mass of the man.
m = 2450 / (9.81* 4.5)
= 55.5 kg.
Right triangle ABC is on a coordinate plane. Segment AB is on the line y = 2 and is 3 units long. Point C is on the line x = -1. If the area of triangle ABC is 6 square units, then find a possible y-coordinate of point C. Options: 5 6 7 8
Answer:
The possible y-coordinate of point C is 6
Step-by-step explanation:
The coordinate of a point is given by (x,y) where x is the horizontal distance from the origin on the x axis and y is the vertical distance from the origin.
Given Segment AB is on the line y = 2 and is 3 units long and Segment AB is on the line y = 2 and is 3 units long. The area of triangle ABC is 6 square units.
The area of a triangle = 1/2 × base × height
6 = 1/2 × 3 × height
height = (2 × 6) / 3 = 4 units
Since point C is perpendicular to line y = 2, they coordinates is either 2 + 4 = 6 or 2 - 4 = -2
The coordinate of point C is either (-1, 6) or (-1, -2)
The coordinate of point C is either (-1, 6) or (-1, -2)
Area of triangles and coordinatesThe formula for calculating the area of a rectangle is expressed as;
A = 0.5bhwhere:
b is the base of the triangleh is the height of the triangle;Get the height of the triagle:
6 = 0.5(3)h
6 = 1.5h
h = 6/1.5
h = 4 units
Since point C is perpendicular to line y = 2, the y-coordinates will be either (2 + 4) = 6 or (2 - 4) = -2
Hence the coordinate of point C is either (-1, 6) or (-1, -2)
Learn more on area of triangle here: https://brainly.com/question/17335144
How many bases [tex]$b$[/tex] are there such that [tex]$663_b$[/tex] is prime?
Answer:
none
Step-by-step explanation:
We assume you intend positive rational bases.
[tex]663_b[/tex] is divisible by 3, so cannot be prime.
Please help! Correct answer only, please! Find the following product if possible. Explain if it is not possible. A. B. C. D.
Answer: B
[tex]=\begin{pmatrix}7&13\\ 19&18\end{pmatrix}[/tex]
Step-by-step explanation:
[tex]\begin{pmatrix}1&3\\ -2&5\end{pmatrix}\begin{pmatrix}-2&1\\ 3&4\end{pmatrix}=\begin{pmatrix}1\cdot \left(-2\right)+3\cdot \:3&1\cdot \:1+3\cdot \:4\\ \left(-2\right)\left(-2\right)+5\cdot \:3&\left(-2\right)\cdot \:1+5\cdot \:4\end{pmatrix}=\begin{pmatrix}7&13\\ 19&18\end{pmatrix}[/tex]
A house on the market was valued at $295,000. After several years, the value increased by 8%. By how much did the house’s value increase in dollars? What is the current value of the house?
Answer:
Increase in value: $20650
Current house value: $315650
En una empresa en las que 28 personas, de estas las 3/4 partes son varones. ¿Cuantas personas son mujeres?
Answer:
4 mujeres en la empresa
Step-by-step explanation:
Idk how to explain it please help question 11!
[tex]\frac{3-5x}{-4}[/tex]
[tex]\frac{3+-5x}{-4}[/tex]
[tex]\frac{-5x+3}{-4}[/tex]
[tex]\frac{5}{4} x+\frac{-3}{4}[/tex]
[tex]\frac{5x-3}{4}[/tex]
Step-by-step explanation:
For instance, though not like terms, subtract
5-3/4= 2/4= 1/2
3-5/-4= -2/-4, -ve plus -ve hence +ve
+ve 1/2
They are the same
5 – 6x = 8x + 17 and simplify [tex]\frac{-6}{7}[/tex]
Answer:
x = -6/7
Step-by-step explanation:
5 – 6x = 8x + 17
-5 - 5 Subtract 5 from both sides
-6x = 8x + 12
-8x - 8x Subtract 8x from both sides
-14x = 12 Divide both sides by -14
x = -12/14 Simplify
x = -6/7
What is the measurement of angle 1 if angle 6 equals 62
Answer:
1 = 118 degrees
Step-by-step explanation:
Since a straight line is 180 degrees take
180 - 62 = 118 degrees
(Even though the line is slanted it still equals 180 degrees).
Have a good day. :)
Hope this helps!
(brainliest would be appreciated)
4(3x+7)=16
correct answer
no cap...
Answer:
x=-1
Step-by-step explanation:
12x+28=16
-28 on both sides
12x=-12
x=-1
1 / cosec A -1 - 1 / cosec A + 1
Answer:
Given expression is [tex]\frac{1}{\text{cosec}A-1}-\frac{1}{\text{cosecA+1}}[/tex] = 2tan²A
We have to prove this identity.
[tex]\frac{1}{\text{cosec}A-1}-\frac{1}{\text{cosecA+1}}=\frac{(\text{cosecA+1})-(\text{cosecA-1})}{(\text{cosecA-1})(\text{cosecA+1})}[/tex]
= [tex]\frac{(\text{cosecA}-\text{cosecA})+(1+1)}{cosec^2A-1}[/tex]
= [tex]\frac{2}{cosec^{2}A-1}[/tex]
= [tex]\frac{2}{cot^{2}A}[/tex] [From the identity, (cosec²A - 1) = cot²A]
= 2tan²A [From the identity, cotA = [tex]\frac{1}{\text{tan}A}[/tex]]
Hence the given equation is proved.
Which of the following are solutions to the equation below? Check all that apply. x2 + 3x - 10 = 0
Answer:
x = 2x = -5Step-by-step explanation:
[tex]x^{2} + 3x - 10 = 0\\a *c = 1*-10=-10\\Find-factors-when-they- are -added= 3x -and-when-multiplied=-10\\Factors = -2x, and 5x\\x^{2} -2x+5x-10=0\\x(x-2)+5(x-2)=0\\(x-2)(x+5)=0\\(x-2)=0 ,or, (x+5)=0\\x = 0+2 , or, x =0-5\\x = 2 \\x =- 5[/tex]
The solutions to the given quadratic equation x² + 3x - 10 = 0 are x = 2 and x = -5.
The quadratic equation is given as follows:
x² + 3x - 10 = 0
To solve the equation x² + 3x - 10 = 0, we can use the quadratic formula:
x = (-b ± √(b² - 4ac)) / 2a
where a, b, and c are the coefficients of the equation in the form ax² + bx + c.
Here, a = 1, b = 3, and c = -10, so we have:
x = (-3 ± √(3² - 4(1)(-10))) / 2(1)
x = (-3 ± √(49)) / 2
x = (-3 ± 7) / 2
So, the solutions are:
x = (-3 + 7) / 2 = 2
x = (-3 - 7) / 2 = -5
Therefore, the solutions to the equation x² + 3x - 10 = 0 are x = 2 and x = -5.
Learn more about quadratic function here:
brainly.com/question/14083225
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write an expression to represent the following situation:10 dollars less than catilian
Answer: c - 10
Step-by-step explanation:
Feom the question, we are told to wrote an expression that can be used to represent the following situation: 10 dollars less than catilian.
The first thing that we need to do is to represent catilian by an alphabet.
Let catilian be denoted by c.
Since we are told that 10 dollars is less than catilian. The expression will be:
= c - 10
Andrew is trying to create a number puzzle for his younger sister to solve. He challenges his sister to find the mystery number. “When 4 is subtracted from half of a number the result is 5.” The equation to represent the mystery number is 1/2−4=5.
Andrew’s sister tries to guess the mystery number.
a. Her first guess is 30. Is she correct? Why or why not?
b. Her second guess is 2. Is she correct? Why or why not?
c. Her final guess is 4 1/ 2. Is she correct? Why or why not?
None of these guesses are correct.
Let's work this problem in reverse.
Try it this way.
1/2x-4=5
This is actually quite simple to solve.
Because half of x minus 4 will equal 5, we just need to add 4 and 5 to get half of our mystery number. 4+5=9. So, 9 is half of x. Add 9 to 9 to get our mystery number, which is 18.
30 is not correct because Half of 30 is 15, and 15-4 is 11, not 5.
2 is also not correct because half of 2 is one, and 1-4 is -3, not 5.
4 1/2 is not correct as well because half of 4 1/2 is 2 1/4, and 2 1/4-4 is -2 1/2, not 5.
Hope this helped!
None of her guesses are correct. “When 4 is subtracted from half of a number the result is 5.” The number should be 18.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
When 4 is subtracted from half of a number the result is 5.”
Let the number be x
x/2-4=5
We need to find the value of x
x/2=5+4
x/2=9
x=18
a. Her first guess is 30. Is she correct
No, the number should be 18 not 30 because half of 30 is 15 and when we subtract 4 from 15 we get 11
b. Her first guess is 2. Is she correct
No, the number should be 18 not 2 because half of 2 is 1 and when we subtract 4 from 1 we get -3.
Even 4 1/ 2 is not correct hence 18 is not correct.
Hence, none of her guesses are correct.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
Which function is represented by the graph below?
Answer:
f(x)=2e^x
Step-by-step explanation:
graphic calculator
What is the area of the composite figure shown?
A) 42.4m2
B) 41.7m2
C) 32.8m2
D) 63m2
Answer:
B
Step-by-step explanation:
0÷x=0 Please help me!!!!
Please answer correctly !!!!!!!! Will mark brianliest !!!!!!!!!!!
Answer:
x=6
Step-by-step explanation:
h(x) = -( x-2)^2 +16
We want when h(x) = 0
0 = -( x-2)^2 +16
Subtract 16 from each side
-16 = -( x-2)^2 +16-16
-16 = -( x-2)^2
Divide by -1
16= ( x-2)^2
Take the square root of each side
±sqrt(16) = sqrt(( x-2)^2 )
±4 = x-2
Add 2 to each sdie
2 ±4 = x-2+2
2+4 = x 2-4 =x
6 =x -2 =x
since time cannot be negative
x=6
A circular plate bas diameter 27cm.
Calculate the circumference of the plate
Answer:
84.78
Step-by-step explanation:
You do 27 tomes pi(3.14)
Answer:
Circumference ≈ 84.82cm
Step-by-step explanation:
The diameter is 27cm
The equation to find circumference is (2πr) (Two times pi times radius)
We are given the diameter, the length across entire circle through the center of the circle, but we need radius, the distance between the center point to the edge of the circle.
To get radius, you divide diameter by 2, getting 13.5.
Now, all you have to do is "plug-and-chug," putting 13.5 in for radius in the circumference equation. (2π13.5)
You will get Circumference ≈ 84.82
Which unit would you use to measure the weight of a car?
O mg
O kg
O g
O km
Answer:
The weight of an object is defined as the force of gravity on the object and may be calculated as the mass times the acceleration of gravity, w = mg. Since the weight is a force, its SI unit is the newton.
hope that helps love!
80,+84, +82, +79, +72, +97, +89, +97, +88, +79, +86, +90, +87 =
Answer:
1110
Step-by-step explanation:
Coz I solved it
c. When a rational and an irrational number are added, is the sum rational or irrational?
Answer:
irrational
Step-by-step explanation:
example: rational=½=0.5
irrational=3.1428571…
0.5+3.1428571
3.6428571.....
It is irrational because it cannot be changed into fraction form
The figure below shows a right rectangular prism whose base is a 2x2 square and whose height is 4.Which shape does the intersection of the vertical plane with the prism look like?
Answer:
rectangle
Step-by-step explanation:
Meredith has two different‐sized bags of trail mix. The larger bag contains 6.18 ounces of trail mix. The smaller bag contains 6.8 ounces of trail mix. Which bag contains more trail mix? Why?
Answer:
The Larger bag contains more trail mix. Why because the larger bag has 10 more ounces than the smaller bag.
Please help me I really need help please help me
Answer:
2.25 +3/4x = y
Step-by-step explanation:
2.25 +3/4x = y