Answer:
rational
Step-by-step explanation:
it is a whole number, a irrational number btw is like an ugly never ending no pattern number. 12 is a rational number
An aquarium is on on sale for $59.50. If this represents a 15% discount from the original price, what is the original price to the nearest cent.
Answer:$68.43
Step-by-step explanation:
A fireplace arch is to be constructed in form of a semiellipse. The opening is to have a height of 2 feet at the center and a width of 6 feet along the base. The contractor cuts a string of a certain length and nails each end of the string along the base in order to sketch the outline of the semiellipse.
1. What is the total length of the string?
2. How far from the center should the string be nailed into the base?
Answer:
The total length of the string is 7.85 feet and the center should be 2.236 feet far the string be nailed into the base
Step-by-step explanation:
Circumference of ellipse = [tex]\pi(a+b)[/tex]
Circumference of semi-ellipse = [tex]\frac{\pi(a+b)}{2}[/tex]
we are given that The opening is to have a height of 2 feet at the center and a width of 6 feet along the base.
So, [tex]a = \frac{6}{2}=3 , b = 2[/tex]
Circumference of semi-ellipse =[tex]\frac{3.14(3+2)}{2}=7.85 feet[/tex]
Distance from center =[tex]\sqrt{a^2-b^2}=\sqrt{3^2-2^2}=2.236 feet[/tex]
Hence the total length of the string is 7.85 feet and the center should be 2.236 feet far the string be nailed into the base
need help with 4 ASAP
3. Sophie solved the inequality
as shown. Explain Sophie's error
and give the correct solution to
the inequality.
-5(x - 1) > -7x + 19
-5X - 5 >-7x +19
2x - 5 > 19
2x > 24
X>12
Answer:
After she distribute the [tex]x[/tex] and [tex]-1[/tex] by [tex]-5[/tex], the after you get [tex]-5x - 5 > -7x + 19[/tex], she put a negative [tex]5[/tex] instead of a positive [tex]5[/tex], and would be written as[tex]-5x + 5 > -7x + 19[/tex].
Step-by-step explanation:
Solve the inequality for the correct solution:
[tex]-5(x - 1) > -7x + 19[/tex]
-Use Distributive Property:
[tex]-5(x - 1) > -7x + 19[/tex]
[tex]-5x + 5 > -7x + 19[/tex]
-Take [tex]7x[/tex] and add it to [tex]-5x[/tex]:
[tex]-5x + 5 + 7x > -7x + 7x + 19[/tex]
[tex]2x + 5 > 19[/tex]
-Subtract [tex]5[/tex] to both sides:
[tex]2x + 5 - 5 > 19 - 5[/tex]
[tex]2x > 14[/tex]
-Divide both sides by [tex]2[/tex]:
[tex]\frac{2x}{2} > \frac{14}{2}[/tex]
[tex]\boxed {x > 7}[/tex]
PLEASE HELP FAST!! WILL MARK AS BRAINLIEST IF GIVEN GOOD ANSWER!!
Answer:
The answer to that problem would be 116 degrees.
Step-by-step explanation:
Since Angles JKM and MKL are adjacent angles, they add up to the measure of Angle JKL. To figure out the angle measure of JKM, you subtract 39 (the measure Angle MKL) from 155 (the measure of JKL). Hopefully, this helps :).
Please help!!! Use the digital to answer the question above
Answer: 16
Step-by-step explanation: The angles are equal so x+24 = 3x-8
What is the first step needed to solve 3 over 4 multiplied by x minus 3 equals negative 18 ? (1 point)
Add 3 to both sides
Subtract 18 from both sides
Multiply both sides by 3
Divide both sides by 4
Answer:
Divide both sides by 4
Step-by-step explanation:
Answer:
i just took the test and it was divide by 4 sides
Step-by-step explanation:
what is the constant in the expression 13x3+x2-4x+8
Answer:8
Step-by-step explanation:
it is the only one without a variable.
Answer:
[tex]\boxed {\tt 8}[/tex]
Step-by-step explanation:
A constant is a term without a variable.
Let's analyze each term of the expression: 13x³+x²-4x+8
13x³: this has a variable of x³
x²: this has a variable of x²
-4x: this has a variable of x
8: this has no variable
Since 8 is the term without a variable, 8 is the constant.
What is the slope of this function?
slope = (y2-y1)/(x1-x2)
=(20-8)/(2-1)
=12/1
m = 12
The slope of the given function is 12.
Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line.
In this case, we are given three points:
Point 1: (x = 1, y = 8)
Point 2: (x = 2, y = 20)
Point 3: (x = 3, y = 32)
The slope of the function is calculated by the formula given as;
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope =(20-8)/(2-1)
=12/1
Slope = 12
The slope is 12.
To know more about slopes ;
brainly.com/question/3493733
#SPJ6
One fifth of r is fifteen what is r
Answer:
75.
Step-by-step explanation:
r = 15
r = 1/5 of x
15*5=75
x = 75
There are 3 times as many females as males on the maths course at university. What fraction of the course are male?
Give your answer in its simplest form.
Answer:
1/3
Step-by-step explanation:
Because I’m right
identify the domain and the range of the function
So the first graph is Radical/Irrational Graph and the second is Parabola/Quadratic Graph.
You can find the domain by looking at the x-axis and for the range, look at the y-axis. That means all of x-axis is the domain and all of y-axis is the range.
From the first graph, the domain is from -2 to +infinite. But because there's a colored dot, it's either ≥ or ≤.
But because -2 is less than + infinite, we use ≤ instead. Thus, x ≥ -2
Remember that x-values can't be equal to infinite. So we use < instead since there's no x-values that are equal to ∞.
Or we can write in interval notation as [-2,+∞) for symbol "[ or ]" is equal to ≤ or ≥ and ") or (" is equal to > or <
Again, the domain for the first graph is x ≥ -2 or x ∈ [-2, +∞)
And the range, look at the y-axis. Because we can substitute x from -2 to less than ∞, that means the range is from -1 because when x = -2 then x = -1 to + infinite.
Therefore, the range is y ≥ -1 or y ∈ [-1, +∞)
Now for the second graph. Look at the x-axis to find the domain. We notice that the colored dot is at x = -3 and the one with white dot is at x =2. The one without the color or white dot is > or < while the colored one is ≥ or ≤.
So the domain is -3 ≤ x < 2 or x ∈ [-3, 2)
For range, look at the y-axis. Notice that the colored dot is at y = -5 and the maximum point is at y =4. The y =4 is still in the domain so the range still applies to the maximum point.
Therefore the range is -5 ≤ y ≤ 4 or y ∈ [-5, 4]
if f(x)= -6x + 2, what is f(-1)
Answer:
f(-1) = 8
Step-by-step explanation:
Step 1: Define
f(x) = -6x + 2
f(-1) is x = -1
Step 2: Substitute and Evaluate
f(-1) = -6(-1) + 2
f(-1) = 6 + 2
f(-1) = 8
Answer:
8
Step-by-step explanation:
Substitute -1 for x
-6(-1) + 2
Simplify
6+2
Simplify
8
What is the value of the expression below? - 1/2 + 3 1/2
Answer:
It will be 3 :)
Step-by-step explanation:
Try using desmos calculator when it comes to math ;)
What are the two whole number the square root 41 lies between?
Answer:
6 and 7
Step-by-step explanation:
The square root of 41 is about 6.403
6 and 7 are the closest whole numbers
if x^2-x-6 and x^2+3x-18 hacpve a common factor (x-a) then find the value of a.
Answer:
a = 3
Step-by-step explanation:
Factor both expressions
x² - x - 6
Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (- 1)
The factors are - 3 and + 2 , since
- 3 × 2 = - 6 and - 3 + 2 = - 1 , thus
x² - x - 6 = (x - 3)(x + 2)
-----------------------------------
x² + 3x - 18
consider factors of constant term (- 18) which sum to give the coefficient of the x- term (+ 3)
The factors are + 6 and - 3 , since
6 × - 3 = - 18 and 6 - 3 = + 3 , thus
x² + 3x - 18 = (x + 6)(x - 3)
Both expressions have a common factor of (x - 3)
Compare with (x - a ), then a = 3
what’s the slope please help me
Answer:
-1
Step-by-step explanation:
The slope goes down 1 as it goes over (to the right) 1
Answer:
-1 would be the slope.
Step-by-step explanation:
Using rise over run, the slope would be -1.
Show why 4y + 6 < 38 and -3x - 6 > 18 are considered equivalent
inequalities
Answer:
undefenide+
Step-by-step explanation:
0e46.38 times 6.1 = undefenide+
I hope thishelped your question and have a big A +
byeee✍✍✍
The length y of a rectangle is four less than three times the width x. The perimeter of the rectangle is 16 cm. Write a system of equations to represent this situation and find the dimensions of the rectangle. PLEASE PLEASE HELP MEEE IF I DONT ANSWER IM GOING TO GET KICKED OUT OF THE COURSE PLEASEEEEE HELPP
Answer:
L=5
w=3
Step-by-step explanation:
Length = 3x+4
2L+2W=16
plug in 3x+4 into L
2(3x+4)+2x=16
6x-8+2x=16
6x+2x=16+8
then just do basic algebra
8x=24
divide 24/8
x=3 is the width
5 is the length
L=5
w=3
Help please :( find x
Answer:
x = 33
Step-by-step explanation:
The sum of a quadrilateral adds up to 360°.
Step 1: Set up equation
98 + 98 + 98 + 2x = 360
Step 2: Solve for x
Combine like terms: 294 + 2x = 360Subtract 293 on both sides: 2x = 66Divide both sides by 2: x = 33Which expression is equivalent to -3x(x – 4) – 2x(x + 3)?
A. -x2 – 1
B. —x2 + 18x
C. -5x2 – 6x
D. -5x2 + 6x
PLEASE HELP
Answer:
x2 – 2x + 6
Step-by-step explanation:
Answer:
x2 – 2x + 6
Step-by-step explanation:
1. You spent $10 to buy 5 vases, how much does one vase cost? *
1 point
$1
$2
$5
$50
Answer:
$2
Step-by-step explanation:
if you divide 10 by 5 you get 2
Answer:
Each vase would cost 2$. 10 divided by 5 is 2 therefore each vase is 2$.
Step-by-step explanation:
PLZZZZZ HELP NEEDED ASAP WILL GIVE BRAINLIEST (IF RIGHT)
Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions.
x= 90° - 63° = 27° (NO perpendicular to AOB)
angle DOB = (90°+90°) -128° (angles on a straight line)
= 180° - 128°
= 52°
y= 180° - x - 63° - angle DOB (angles on a straight line)
=180° - 27° - 63° - 52°
= 38°
I'm not sure of the answer tho^^ good luck!
please help me I would also like an explanation
Answer:
k = 45*
2k = 90*
Step-by-step explanation:
K will be the same as the 45* degrees, as it is across from it.
2k is twice k, which is 90*.
45* + 45* + 90* = 180*
Good luck!
Laura spent 78.5% of her paycheck on her mortgage payment. If her paycheck was $1562 how much was her mortgage?
Answer:
$337.12
Step-by-step explanation:
Multiply $1562 by 78.5% (or 0.785) =1230.88
Then subtract the percent of her paycheck spent (1230.88) from the total of her paycheck(1562) to find out how much is missing(the mortgage payment)
1562-1230.88=337.12
The following expression represents the population of colony of penguins in Antarctica: P,= 17.2.3 P, is the penguin population, and r is time in days. a. What is the population after 6 days? b. When will P, be 650 penguins?
use the graph to find the missing value of each point.
(6,___) (3,___) (___,7)
Graph the inequality.
y2-3x+4
4x - 7 <-35
Please help
Answer:
x < -7
Step-by-step explanation:
treat is like a normal equation when solving, solve using inverse operations
4x - 7 < -35
+7 +7
4x < -28
/4 /4
x < -7
What is 62% of 500 ? ?
Answer:
310
Step-by-step explanation:
Answer: 310
Step-by-step explanation: 2% equals 10, so just keep counting up until you get 62%.
Hopefully this helped! :D