which of the following is a true statement?
A. 11/3 =4 1/3
B. 6 4/7- 4 3/7= 10 1/7
C. 108/9= 12
D. 78/5 + 22/5= 10
Can someone slove this n and check
2(n +5) = -2
Answer:
n=7
Step-by-step explanation:
it told me I couldn't send this unless it was 20 words so that's why I'm typing this lol but the answer is 7
What are the three integers?
Answer:
1, -1, 0, 101
They were 8.5 million people living in New York city that was approximately 43 percent of the population of the entire state in millions about how many people lived in New York but not in New York city.
Answer:
According to the U.S. Census Bureau, there were 2,086,566 black people residing in New York City. Percentage wise, approximately two
Please help me to prove this!
Answer: see proof below
Step-by-step explanation:
Use the following Identities in the proof.
Sum & Difference Identities:
[tex]\cot (A+B)=\dfrac{\cot A\cdot \cot B-1}{\cot B+\cot A}\qquad \qquad \tan(A-B)=\dfrac{\tan A-\tan B}{1+\tan A\cdot \tan B}[/tex]
Half Angle Identities:
[tex]\cot \bigg(\dfrac{A}{2}\bigg)=\dfrac{1+\cos A}{\sin A}\qquad \qquad \qquad \tan\bigg(\dfrac{A}{2}\bigg)=\dfrac{1-\cos A}{\sin A}[/tex]
Unit Circle:
[tex]\cot \bigg(\dfrac{\pi}{4}\bigg)=1\qquad \qquad \qquad \qquad \tan\bigg(\dfrac{\pi}{4}\bigg)=1[/tex]
Proof LHS → RHS:
[tex]\text{LHS:}\qquad \qquad \qquad \qquad \cot\bigg(\dfrac{\pi}{4}+\dfrac{\theta}{2}\bigg)-\tan\bigg(\dfrac{\theta}{2}-\dfrac{\pi}{4}\bigg)[/tex]
[tex]\text{Sum and Difference:}\qquad \dfrac{\cot (\frac{\pi}{4})\cdot \cot (\frac{\theta}{2})-1}{\cot (\frac{\theta}{2})+\cot (\frac{\pi}{4})}-\dfrac{\tan (\frac{\theta}{2})-\tan (\frac{\pi}{4})}{1+\tan (\frac{\theta}{2})\cdot \tan(\frac{\pi}{4})}[/tex]
[tex]\text{Unit Circle:}\qquad \qquad \dfrac{\cot (\frac{\theta}{2})-1}{\cot (\frac{\theta}{2})+1}-\dfrac{\tan (\frac{\theta}{2})-1}{\tan (\frac{\theta}{2})+1}[/tex]
[tex]\text{Half Angle:}\qquad \quad \dfrac{\frac{1+\cos \theta}{\sin \theta}-1}{\frac{1+\cos \theta}{\sin \theta}+1}-\dfrac{\frac{1-\cos \theta}{\sin \theta}-1}{\frac{1-\cos \theta}{\sin \theta}+1}[/tex]
[tex]=\dfrac{\frac{1+\cos \theta}{\sin \theta}-\frac{\sin \theta}{\sin \theta}}{\frac{1+\cos \theta}{\sin \theta}+\frac{\sin \theta}{\sin \theta}}-\dfrac{\frac{1-\cos \theta}{\sin \theta}-\frac{\sin \theta}{\sin \theta}}{\frac{1-\cos \theta}{\sin \theta}+\frac{\sin \theta}{\sin \theta}}[/tex]
[tex]=\dfrac{1+\cos \theta -\sin \theta}{(1+\cos \theta)+\sin \theta}-\dfrac{1-\cos \theta -\sin \theta}{(1-\cos \theta)+\sin \theta}[/tex]
[tex]\text{Simplify:}\\ \dfrac{1+\cos \theta -\sin \theta}{(1+\cos \theta)+\sin \theta}\bigg(\dfrac{(1-\cos \theta)+\sin \theta}{1-\cos \theta)+\sin \theta}\bigg)-\dfrac{1-\cos \theta -\sin \theta}{(1-\cos \theta)+\sin \theta}\bigg(\dfrac{1+\cos \theta)+\sin \theta}{1+\cos \theta)+\sin \theta}\bigg)[/tex]
[tex]=\dfrac{2\sin \theta \cdot \cos \theta}{2\sin \theta(1+\sin \theta)}-\dfrac{-2\sin \theta \cdot \cos \theta}{2\sin \theta (1+\sin \theta)}[/tex]
[tex]=\dfrac{4\sin \theta \cdot \cos \theta}{2\sin \theta(1+\sin \theta)}[/tex]
[tex]=\dfrac{2\cos \theta}{1+\sin \theta}[/tex]
LHS = RHS [tex]\checkmark[/tex]
Haley wants to make a necklace with 24 blue beads and 32 purple beads. She wants to make a bracelet that uses the same ratio of blue beads to purple beads. She plans to use six blue beads for the bracelet. How many Purple beads should Haley use?
find the inverse (6,-14),(7,6),(7,-6),(19,-5)
Answer:
Step-by-step explanation:
For instance, x = x/1. The reciprocal of a number is this fraction flipped upside down. In other words, the reciprocal has the original fraction's bottom number—or denominator—on top and the top number—or numerator—on the bottom. So the reciprocal of 6 is 1/6 because 6 = 6/1 and 1/6 is the inverse of 6/1.
Leslie has two cups containing different-colored paper clips. The first cup contains 7 pink paper clips and 3 blue paper clips. The second cup contains 3 black paper clips, 1 red paper clip, and 6 orange paper clips. What is the probability that Leslie will randomly select a blue paper clip from the first cup and then randomly select an orange paper clip from the second cup? *
Answer:
9/50 = 0.18
Step-by-step explanation:
The first cup has 10 paper clips, 3 of which are blue.
The second cup has 10 paper clips, 6 of which are orange.
So the probability is:
P = (3/10) (6/10)
P = 9/50
P = 0.18
Find the slope. HELP!
Answer:
-3
Step-by-step explanation:
I attached I picture of the work
just ignore the stuff at the very top
Step-by-step explanation:
To find the slope, we must know and memorize the following formula.
[tex]\frac{y2}{x2} -\frac{y1}{x1} =m[/tex]
Identified 2 points:
(0, 9)(1, 6)Substitute the 2 points into the formulas format.
Then, solve for our final answer.
[tex]\frac{6}{1} -\frac{9}{0} =\frac{-3}{1} =-3[/tex]
[tex]m=-3[/tex]
What is the value of the expression below when w =9 and x=2
w – 4x
Answer:
1
Step-by-step explanation:
9 - 4 x 2
4 x 2 = 8
9 - 8 = 1
All needs 1350 grams of glue to make a project. He wants to use a mix of craft glue and wood glue.
• A bottle of craft glue equals 150 grams.
• A bottle of wood glue equals 180 grams.
Ali wants to use at least 1 bottle of each glue.
How many bottles of each type of glue must Ali buy to get exactly 1350 grams of glue? Enter the answers in the boxes.
_____ bottles of craft glue
_____ bottles of wood glue
He needs 5 bottles of wood glue and 4 bottles of craft glue.
(2x-1)(3x+5)
how do i simplify this?
Parallet, Perpendicular, and Intersecting Lines Determine if the given pair of lines is parallel, perpendicular, or intersecting. 1) y = 2x + 19 and -2x + y = -4 5) y = x - 9 and y = x + 3
Answer:
im confused
Step-by-step explanation: i need help with this question
what is 56/18 in simplest form
Answer:
The answer in the simplest form would be 28/9 or 3 1/9
Step-by-step explanation:
Very simple you would divide the 56 and the 18 by 2 and you get 28/9.
or you could change it to a improper fraction in that case it would be 3 1/9
18 goes into 56 three times which gives us 54. 54 divided by 18 is 3. we should have 3 2/18 which simplifies to 3 1/9
Determine whether the absolute value of a difference is sometimes, always, or never the same as the difference of the absolute values.
Ia-bI = IaI - IbI
=====================================================
Explanation:
Let's see what happens when a = b
Let's pick something like a = 2, so b = 2.
|a-b| = |2-2| = |0| = 0
|a|-|b| = |2|-|2| = 2-2 = 0
Both result in 0.
We see that |a-b| = |a|-|b| is true for this example.
The given equation is either "sometimes true" or "always true"
--------------
Now let's pick something where a < b. Let a = 1 and b = 2
|a-b| = |1-2| = |-1| = 1
|a|-|b| = |1|-|2| = 1-2 = -1
We get different results, so |a-b| = |a|-|b| is not true for this example.
So this leads us to say the original equation is sometimes true.
[tex]|a-b| = |a| - |b|[/tex] if and only if [tex]a \ge 0\,\land\,b\ge 0[/tex]. That is, it is sometimes the same.
Absolute Value is a mathematic Form which represents either the Magnitude or the Distance respect to Origin of a given Real Number, whose is depicted below:
[tex]|x| = \left \{ {{x,\,x\ge 0} \atop {-x,\,x< 0}} \right.[/tex], for all [tex]x\in \mathbb{R}[/tex] (1)
In this question we must check if [tex]|a|-|b| = |a - b|[/tex]. Hence, we must check it for the following four cases:
(i) [tex]a \ge 0\,\land\,b\ge 0[/tex]
(ii) [tex]a\ge 0\,\land \,b < 0[/tex]
(iii) [tex]a < 0\,\land\,b<0[/tex]
(iv) [tex]a< 0\,\land b\,\ge 0[/tex]
Case I
1) [tex]|a| \ge 0[/tex], [tex]|b| \ge 0[/tex], [tex]|a-b| \ge 0[/tex] Definition of absolute value.
2) [tex]a \ge 0\,\land\,b\ge 0[/tex] Given.
3) [tex]a - b = a - b[/tex] Definition of absolute value/Reflexive Property
4) [tex]|a-b| = |a| - |b|[/tex] Result.
Case II
1) [tex]|a| \ge 0[/tex], [tex]|b| \ge 0[/tex], [tex]|a-b| \ge 0[/tex] Definition of absolute value.
2) [tex]a\ge 0\,\land \,b < 0[/tex] Given.
3) [tex]a - b =^{?} a - (-b)[/tex] Definition of absolute value.
4) [tex]a - b =^{?} a + b[/tex] [tex]-(-x) = x[/tex]
5) [tex]-b =^{?} b[/tex] Compatibility with addition/Modulative property/Existence of additive inverse/Absurd found.
6) [tex]|a-b| \ne |a| - |b|[/tex] Reductio ad absurdum.
Case III
1) [tex]|a| \ge 0[/tex], [tex]|b| \ge 0[/tex], [tex]|a-b| \ge 0[/tex] Definition of absolute value.
2) [tex]a < 0\,\land\,b<0[/tex] Given.
3) [tex]a-b =^{?} -a-(-b)[/tex] Definition of absolute value.
4) [tex]a-b =^{?} -(a -b)[/tex] [tex](-1)\cdot x = -x[/tex]/Distributive property/Absurd found.
5) [tex]|a-b| \ne |a| - |b|[/tex] Reductio ad absurdum.
Case IV
1) [tex]|a| \ge 0[/tex], [tex]|b| \ge 0[/tex], [tex]|a-b| \ge 0[/tex] Definition of absolute value.
2) [tex]a< 0\,\land b\,\ge 0[/tex] GIven.
3) [tex]a-b =^{?} -a - b[/tex] Definition of absolute value.
4) [tex]a =^{?} -a[/tex] Compatibility with addition/Modulative property/Existence of additive inverse/Absurd found.
5) [tex]|a-b| \ne |a| - |b|[/tex] Reductio ad absurdum.
In a nutshell, [tex]|a-b| = |a| - |b|[/tex] if and only if [tex]a \ge 0\,\land\,b\ge 0[/tex]. That is, it is sometimes the same.
Please see this question related to Absolute Values: https://brainly.com/question/11220129
A regular hexagon has exactly six congruent sides.
Step-by-step explanation:
correct but what's the question
Answer:
true regular means that all sides are equal and congruent also means equal so the statement is true a regular hexagon would have 6 congruent sides
POINTS
need answer! thank uu
Answer:
7
Step-by-step explanation:
A livestock vaccine is to be given at the rate of 2 milliliters for each 13 pounds of body weight. How much should be given to a 78-pound goat?
Answer:
8 mil.
Step-by-step explanation:
Answer:
8 mil.
Step-by-step explanation:
describe a piecewise function
Step-by-step explanation:
A piecewise function is a function built from pieces of different functions over different intervals.
Step-by-step explanation:
A piecewise function is a function built from pieces of different functions over different intervals. For example, we can make a piecewise function f(x) where f(x) = -9 when -9 < x ≤ -5, f(x) = 6 when -5 < x ≤ -1, and f(x) = -7 when -1 <x ≤ 9.
Mark me as brainlist
Theresa bought 2 pineapples for $6. She wants to find the constant of proportionality in terms of dollar per pineapple. She modeled this proportional relationship on a number line diagram, as shown.
Part B how much does 4 pineapples cost?
Answer:
$12
Step-by-step explanation:
divide 6 by 2 to show how much 1 pineapple cost which is 3
then time 4 by 3
I have a challenge for someone: What is the area of the shaded area if the perimeter is 68 (fake answers will be reported)
Answer:
126.14 in²Step-by-step explanation:
Given
Rectangle with sides of 20 in and x+2 in and perimeter of 68 inPerimeter = 2(l + w)
l = 20 in, w = x + 2 in, P = 68 inSubstitute values in perimeter formula
68 = 2(20 + x + 2)34 = x + 22x = 34 - 22x = 12 inThen, the value of width is
w = 12 + 2 = 14 inArea of rectangle
A = lw = 20*14 = 280 in²Area of circle
A = πr² = 3.14*7² = 153.86Shaded area
280 - 153.86 = 126.14 in²Answer:
126.14in²
Step-by-step explanation:
P = 2w + 2l
68 = 2(x + 2) + 2(20)
68 = 2x + 4 + 40
68 = 2x + 44
24 = 2x
12 = x
x + 2
12 + 2
14 (width)
14 * 20
280in² (area of rectangle)
A = πr²
A = π(7)²
A = 49π
A = 153.86 (area of circle)
280 - 153.86
126.14 (area of shaded region)
Best of Luck!
Can someone pls help ASAP
Answer:
89.44
Step-by-step explanation:
using the Pythagorean Theorem: [tex]a^{2} +b^{2}=c^{2}[/tex]
[tex]80^{2} +b^{2} =120^{2} \\6400+b^{2} =14400\\b^{2} = 8000\\b = 40\sqrt{5}[/tex]
120 is the hypotenuse so it would be c in the equation.
To solve, I simplified and isolated the variable. I got the square root of 8000 simplified (but idk how to write that out lol)
This answer is closest to 89.44
*Hope this helped! Have a great day/ night wherever you are! : )*
Which value is not a whole number?
•-5
•0
•4
•113
Multiple question
Answer:
-5 because it is negative
Step-by-step explanation:
find the slope of the line passing through the points a(6 –5) and b(–5 –7)
Answer:
slope = (11/2)
Step-by-step explanation:
slope= (x2-x1, y2-y1)
= (6-(-5)), (-5-(-7))
= (11,2)
What is the difference between a formal sanction and an informal sanction?
Answer:
A formal sanction is a reward or punishment given by a formal organization or regulatory agency, such as a school or government. An informal sanction is a spontaneous expression of approval or disapproval given by an individual or a group, such as a standing ovation or gossip.
An official institution or regulatory body, such as a school or the government, may impose a formal sanction as a reward or punishment. A spontaneous display of approval or disapproval from a person or group, such as a standing ovation or rumours, is known as an informal sanction.
What is informal sanction?Informal consequences are answers to behaviour that may help to dissuade nonconformity or promote adherence to a standard, standard, or regulation.
As a result, a sanction can be either positive or negative, encouraging or discouraging behaviour that adheres to accepted norms of what is proper, reasonable, or anticipated.
Thus, An official institution or regulatory body, such as a school or the government
For more details about informal sanction, click here:
https://brainly.com/question/25523750
#SPJ6
Select the expressions equivalent to
(−2x+8.1y)−(−9x+5.3y)
a. -11x + 2.8y
b. 7x + 13.4y
c. -11x + 13.4 y
d. 7x + 2.8y
Answer:
D
Step-by-step explanation:
We have the expression:
[tex](-2x+8.1y)-(-9x+5.3y)[/tex]
First, let's distribute the negative on the right. This gives us:
[tex]=(-2x+8.1y)+(9x-5.3y)[/tex]
Now, let's combine like terms:
[tex]=(-2x+9x)+(8.1y-5.3y)[/tex]
Add:
[tex]=(7x)+(8.1y-5.3y)[/tex]
Subtract:
[tex]=(7x)+(2.8y)[/tex]
Simplify:
[tex]=7x+2.8y[/tex]
So, our answer is D.
And we're done!
Answer:
d. 7x + 2.8y
Step-by-step explanation:
You have to combine like factors to solve. Distribute before solving.
(-2x + 8.1y) - (-9x + 5.3y)
-2x + 8.1y + 9x - 5.3y
7x + 8.1y - 5.3y
7x + 2.8y
What is -5 5/8 + 3 1/2? Answer now for 25 points and a brainly!
-3 1/8
-2 1/2
-2 1/8
- 7/8
==============================================
Work Shown:
5 & 5/8 = 5 + 5/8
-5 & 5/8 = -(5 & 5/8) = -(5 + 5/8) = -5 - 5/8
So,
( -5 & 5/8 ) + ( 3 & 1/2 )
( -5 - 5/8 ) + ( 3 + 4/8 )
( -5+3 ) + ( -5/8+4/8 )
-2 + (-1/8)
-(2 + 1/8)
-(2 & 1/8)
-2 & 1/8
------------------------
Alternative Method
We could convert each mixed number to decimal form
-5 & 5/8 = -5-5/8 = -5.625
3 & 1/2 = 3+1/2 = 3.5
( -5 & 5/8 ) + ( 3 & 1/2 ) = -5.625+3.5 = -2.125
Then convert back to mixed number form
-2.125 = -2 & 125/1000
-2.125 = -2 & (1*125)/(8*125)
-2.125 = -2 & 1/8
Answer:C is you answer
Step-by-step explanation:
∠A and \angle B∠B are vertical angles. If m\angle A=(3x-9)^{\circ}∠A=(3x−9) ∘ and m\angle B=(x+3)^{\circ}∠B=(x+3) ∘ , then find the value of x.
Answer:
x = 6
Step-by-step explanation:
Vertical angles are congruent, thus
∠ A = ∠ B , substitute values
3x - 9 = x + 3 ( subtract x from both sides )
2x - 9 = 3 ( add 9 to both sides )
2x = 12 ( divide both sides by 2 )
x = 6
Answer:
x = -3
Step-by-step explanation:
A cup has a circumference of 28 cm. Approximately what is the diameter?
Answer:
The diameter is approximately 8.9 cm
Step-by-step explanation:
The circumference is given by
C = pi *d
28 = pi *d
Divide each side by pi
28/pi = d
We can approximate pi by 3.14
28 /3.14 =d
8.917 = d
The diameter is approximately 8.9 cm
-2 + 11 + 16 + (-82) + 5 + (-11)
Answer:
-63
Step-by-step explanation:
