Answer:
20/41 (it can't be reduced or simplified)
Step-by-step explanation:
41 is a prime number hence cannot be divided by anything.
Therefore, 20/41 simplified is still 20/41 and in decimal format is 0.488(3 d.p)
A triangle has a height of 5 and an area of 60. Find the base.
Answer:
24
Step-by-step explanat
Use an element argument to prove the statement. (Assume that all sets are subsets of a universal set U.)
Statement: For all sets A, B, and C, (A − B) ∩ (C − B) = (A ∩ C) − B.
Answer and Step-by-step explanation:
Solution:
Given:
A, B and C are sets.
We have to prove that:
(A − B) ∩ (C − B) = (A ∩ C) − B.
Use an element x,
Let x Є (A – B), by the definition of difference:
X Є A and x ∉ B.
And
X Є A ∩ C and x ∉ B
X Є (A ∩ C) – B
Now let x Є C – B
By the definition of difference:
X Є C and x ∉ B
By definition of intersection: x Є C and x Є( A ∩ C)
By definition of difference, using that x Є(A ∩ C) And x ∉ B:
X Є ( A ∩ C) – B
We know that: x Є (A – B) ∩ ( C – B)
Is equivalent to x Є A – B and x Є C – B
So, ( x Є A and x ∉ B)
And (x Є C and x ∉ B)
From this we know that x Є (A ∩ C) – B.
The width of a rectangle is 2 and the length is 2.what is the area of the rectangle
Answer:
2x2+ 4 The area is 4 in
Step-by-step explanation:
On a hot summer day, Leo and Stefano decided to buy some refreshments at the Fruit and Smoothies store. Fruit kabobs cost $1.75 each and smoothies cost $2.50 each. Leo ordered two fruit kabobs and one smoothie. How much did he spend?
Answer:
$6.00
Step-by-step explanation:
2(1.75)+2.50=6
Which of these is a group of organs that work together and perform one or more functions?
• Organelle
• Organ System
•Molecule
•Tissue
Answer:
molecues
Step-by-step explanation:
molecues
Answer:
Organ System, and organ system is a group of organs that work together to accomplish a goal. An example of this would the the Digestive system, this is a organ system made up of may organs such as your large and small intestine and stomach in order to complete your digestive track.
Write the cubic polynomial function f(x)in expanded form with zeros −6, −4,and −1,given that f(−2)=−32.
Answer:
[tex]f(x)=4x^3+44x^2+136x+96[/tex]
Step-by-step explanation:
Polynomials
It's possible to build a polynomial function by knowing its zeros and leading coefficient.
Given the zeros of a third-degree polynomial: x=x1, x=x2, and x=x3, the function is:
[tex]f(x)=a(x-x_1)(x-x_2)(x-x_3)[/tex]
Where a is the leading coefficient.
We are given the zeros -6, -4, and -1, thus:
[tex]f(x)=a(x+6)(x+4)(x+1)[/tex]
The value of a can be calculated by substituting the point (-2,-32):
[tex]a(-2+6)(-2+4)(-2+1)=-32[/tex]
Calculating:
[tex]a(4)(2)(-1)=-32[/tex]
[tex]-8a=-32[/tex]
Dividing by -8:
[tex]a = -32/(-8) =4[/tex]
a = 4.
The polynomial is now complete:
[tex]f(x)=4(x+6)(x+4)(x+1)[/tex]
Operating:
[tex]f(x)=4(x^2+10x+24)(x+1)[/tex]
[tex]f(x)=4(x^3+11x^2+34x+24)[/tex]
[tex]\mathbf{f(x)=4x^3+44x^2+136x+96}[/tex]
Jennilsa is making ice cream. The recipe requires 1/2 cup of milk and 1 1/2 teaspoons of sugar.
Jennilsa wants to make the recipe using 1 cup of milk. To maintain the ratio, how much sugar is
required when 1 cup of milk is used?
Answer:
Three cups of sugar
Step-by-step explanation:
just times 1 1/2 by 2
Answer:
3
Step-by-step explanation:
HELPPPPPPpppp Pleaseee
Answer:
Step-by-step explanation:
1 min= 20%+5%=25%
Therefore 2 min = 25%+5%=30%
3 min=30%+5%=35%
4min =40% therefore your coodinates will be like(1,25),(2,30),(3,35),(4,40) etc
find the circumference of the circle iready r=9
Answer:
56.52
Step-by-step explanation:
Here, r = 9 is given
Then, The Formula of Circumference of Cirlcle
= 2πr
= 2 × 3.14 × 9 = 56.52
Thus, The Circumference of Cirlcle is 56.52
what is the weight of 15 gallons of water?
Answer:
A gallon of water is approximately 8.3 pounds. 8.3*15=124.5
So the weight of 15 gallons of water is 124.5 pounds.
Answer:
A gallon of water weighs approx. 8.34 lbs. so 15 gallons would be, let me see, 18.34 equals, 125.10 lbs. Therefore the weight of 15 gallons of water would be 125.20 lbs
Step-by-step explanation:
Your bucket of Halloween candy has 125 pieces of candy in it. You decide that to ration yourself, you're going to only eat 5 pieces per day.
Answer:
The answer is 25:1
Step-by-step explanation:
pleaseee help meeeeee
Answer: true
Step-by-step explanation:
The x column does not have any repeats
Answer:
False!
Step-by-step explanation:
It looks true until the last row. The first 4 rows, if you multiply the # of trees by 13, you get the # of apples. But, in the last row, 12 x 13 is 156, and the table says 146.
2+2=22? is this the corect awnser
Answer:
I think 2+2=4
Step-by-step explanation:
20+2=22 tho
Answer: no
Step-by-step explanation:
2+2= 4
20+2=22
But u can’t get put 2+2 and say 22. Unless it’s 11(2) =22
please answer this quickly
Answer:
C
Step-by-step explanation:
she adds to her collection 6 +4 = 10. then triples that
Answer:
well by using pemdas you would solve whats in the parenthisis so 6+4 = 10 x 3 = 30
YOUR ANSWER IS 30
Successive discounts of 20% and 10% are taken on an item priced at $16. Describe how to find the sale price of the item
and give the sale price.
Answer:
$11.52
Step-by-step explanation:
16 * .2 = 3.2
16 - 3.2 = 12.8
12.8 * .1 = 1.28
12.8 - 1.28 = $11.52
Take the given amount and take 20% off using the first 2 solutions, then take the "successive" discount of 10% using the second 2 solutions to get the final sale price
I am being timed. Hurry please but take your time.
An unknown fractors is between 0 and 1. Which is true about the equivalent percent and decimal?
A. O The percent and decimal are betwern 0 and 1.
B. O The percent and decimal are greater than 1 and less than 100.
C. O The percent is between 0 and 1, and the decimal is greater than 0 and less than 100.
D. O The percent is greater than 0 and less than 100, and the decimal is between 0 and 1.
Answer: D. The percent is greater than 0 and less than 100, and the decimal is between 0 and 1.
The polynomial p(x)= x3 + 7x2 – 36 has a known factor of (x + 3).
need help with this
Answer:
on which subject.
Step-by-step explanation:
Find the slope of the line that passes through (40,3000) and (60, 4000).
Answer:
[tex]m=50[/tex]
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (40, 3000)
Point (60, 4000)
Step 2: Find slope m
Substitute: [tex]m=\frac{4000-3000}{60-40}[/tex]Subtract: [tex]m=\frac{1000}{20}[/tex]Divide: [tex]m=50[/tex]simpifly 15/20 .............
Answer:
3/4
Step-by-step explanation:
Divide both numerator and denominator by 5:
3/4
Help me and I’ll give u BRAINLEST!!
Find the equation of the circle that has a diameter with endpoints (-4,8) and (4,-4)
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First we need to find the distance between two points which is the diameter of the circle .
_________________________________
Suppose :
a = ( - 4 , 8 )
b = ( 4 , - 4 )
We have following equation to find the distance between two points.
[tex]distance = diameter = d[/tex]
[tex]d = \sqrt{ ( \: {y(b) - y(a)} \: )^{2} + ( \: {x(b) - x(a)} \: )^{2} } \\ [/tex]
Now just need to put the coordinates :
[tex]d = \sqrt{ ({ - 4 - 8})^{2} + ( \: {4 - ( - 4)} \: )^{2} } \\ [/tex]
[tex]d = \sqrt{ ({ - 12})^{2} + ({4 + 4})^{2} } [/tex]
[tex]d = \sqrt{ ({ - 12})^{2} + ({8})^{2} } [/tex]
[tex]d = \sqrt{144 + 64} [/tex]
[tex]d = \sqrt{208} [/tex]
[tex]d = \sqrt{4 \times 52} [/tex]
[tex]d = \sqrt{4 \times 4 \times 13} [/tex]
[tex]d = \sqrt{ {4}^{2} \times 13 } [/tex]
[tex]d = 4 \sqrt{13} [/tex]
This is the diameter of the circle.
We know that :
[tex]diameter = 2 \times radius[/tex]
So :
[tex]4 \sqrt{13} = 2 \times radius[/tex]
Divide sides by 2
[tex] \frac{4 \sqrt{13} }{2} = \frac{2 \times radius}{2} \\ [/tex]
[tex]2 \sqrt{13} = radius[/tex]
Remember it.
_________________________________
To find the equation of the circle except the radius , we need the coordinates of the centre.
The midpoint of the diameter is the centre of the circle .
So we have to find the midpoint of the diameter .
Look :
[tex]midpoint = center = o[/tex]
[tex]o = ( \: \frac{x(a) + x(b)}{2} \: , \: \frac{y(a) + y(b)}{2} \: ) \\ [/tex]
[tex]o = ( \: \frac{ - 4 + 4}{2} \: , \: \frac{8 - 4}{2} ) \\ [/tex]
[tex]o = ( \: \frac{0}{2} \: , \: \frac{4}{2} \: ) \\ [/tex]
[tex]o = ( \: 0 \: , \: 2 \: )[/tex]
This the coordinates of the centre.
_________________________________
Equation of the circle has a form like this :
[tex]( {x - m})^{2} + ({y - n})^{2} = {r}^{2} [/tex]
In which :
[tex]m = x - coordinate \: \: of \: \: the \: \: center \\ [/tex]
[tex]n = y - coordinate \: \: of \: \: the \: \: center \\ [/tex]
[tex]r = radius[/tex]
_________________________________
[tex]o = ( \: 0 \: , \: 2 \: )[/tex]
[tex]radius = 2 \sqrt{13} [/tex]
Thus :
[tex] ({x - 0})^{2} + ({y - 2})^{2} = ({2 \sqrt{13} })^{2} \\ [/tex]
[tex] {x}^{2} + ({y - 2})^{2} = 4 \times 13[/tex]
[tex] {x}^{2} + ({y - 2})^{2} = 52 [/tex]
This is the equation of the circle .
And we're done....
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write slope form of lines satisfying the given coditions then use the point slope form of the eqation to write the slope intercept form of the equation slope = 4, passsing through (-3,9)
Here is how to find the equation of the line using point-slope form
Formula for the equation of a line in point-slope form: y - y₁ = m(x - x₁)
Now that we have the formula, we plug in what we are given.
y - 9 = 4(x + 3)
We can covert this into slope-intercept form by solving for y.
[tex]y - 9 = 4(x + 3)\\\\y - 9 = 4x + 12\\\\y = 4x + 21[/tex]
Our equation for this line is: y = 4x + 21.
We can prove this by graphing the line, like so:
what is the value of x in 9/5 x = 2/3
Answer:
x = 10/27
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
9/5x = 2/3
Step 2: Solve for x
Divide both sides by 9/5: x = 10/27Step 3: Check
Plug in x to verify it's a solution.
Substitute: 9/5(10/27) = 2/3Multiply: 90/135 = 2/3Simplify: 2/3 = 2/3And we have our final answer!
Answer:
x = 10/27
Step-by-step explanation:
2/3 ÷ 9/5
2/3 x 5/9 = 10/27
Find the measures (2x+16)(x+23)
Answer:
I have negative points I need this
Step-by-step explanation:
Question 6 of 10
In which form is the following function written?
y= -2(x - 3)(x + 5)
___ form.
Answer:
Root form
Step-by-step explanation:
If this is precalculus or Algebra 2, then this should be root form
Answer:
factorised form
A point is randomly chosen in the circle shown below.
In which region of the circle is the point certain to be chosen?
in region A
in regions C or D
in region E
in a region with a letter
Answer: in a region with a letter
Step-by-step explanation:
we cannot predict for sure what will happen when we plot the random point.
Answer:
A certain answer would be in a region with a letter
Step-by-step explanation:
All the sections have letters so, no matter what letter, the point would land in a section with a letter.
Solve for x PLS HELP NOW
Answer:
[tex]x=70[/tex]
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
[tex]\frac{0.35}{\frac{2}{3}x } =\frac{0.45}{x-10}[/tex]
Step 2: Solve for x
Cross-multiply: [tex]0.35(x-10)=\frac{2}{3} x \cdot 0.45[/tex]Distribute 0.35: [tex]0.35x - 3.5=\frac{2}{3} x \cdot 0.45[/tex]Multiply: [tex]0.35x - 3.5=0.3x[/tex]Isolate x term: [tex]-3.5=-0.05x[/tex]Isolate x: [tex]70=x[/tex]Rewrite: [tex]x=70[/tex]Step 3: Check
Plug in x to verify it's a solution.
Substitute: [tex]\frac{0.35}{\frac{2}{3}(70) } =\frac{0.45}{70-10}[/tex]Multiply: [tex]\frac{0.35}{\frac{140}{3} } =\frac{0.45}{70-10}[/tex]Subtract: [tex]\frac{0.35}{\frac{140}{3} } =\frac{0.45}{60}[/tex]Evaluate: [tex]0.0075=0.0075[/tex]Answer:
70
Step-by-step explanation:
Cross multiply. 0.3x=0.35x-3.5. Subtract 0.35x to get -0.05x=-3.5. Multiply by -1 to get 0.05x=3.5. And (5/100)x=7/2. Divide by 5/100 to get 700/10=70.
please help me solve this problem
Answer:
C (10×4) ÷ 2
Step-by-step explanation:
C is the answer because if you do an equation,
10 multiplied by 4 (10×4)
Then, she wants to share the dolls equally for her brother
This means that you have to multi[ly 4 by 10, so you get 40. If she shares the dolls equally with her brother, she will give him 20 and keep 20 for herself.
C provides the correct answer with 20. 40/2 is 20
According to the Truth in Lending Act, which of the following is the bank NOT
obligated to inform you of?
A. Interest calculating method
B. Maximum finance charge
C. Annual fee amount
D. APR
According to the Truth in Lending Act, which of the following is the bank NOT obligated to inform you of is: A. Interest calculating method.
What is Truth in lending Acts?Truth in lending acts is an acts that enables lenders to disclose in utmost truth the terms and condition of the loans they offers including all the important or necessary information that a borrower is expected to know.
The truth in lending acts obligate banks or lenders to inform their borrowers about the following:
Maximum finance chargeAnnual fee amountAnnual percentage rate (APR)Therefore the correct option is A.
Learn more about Truth in lending acts here:https://brainly.com/question/2492099
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