The number of servings you can make is 6
How to determine the number of servings?The given parameters are:
Available = 3 poundsContent per serving = 8 ozNext, we convert oz to pounds
Content per serving = 8 * 0.0625 pound
This gives
Content per serving = 0.5 pound
The number of serving is then calculated as:
Number = Available/Content per serving
This gives
Number = 3/0.5
Evaluate
Number = 6
Hence, the number of servings is 6
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help!!!!!
Describe the graph of the function. y = VX-6 +2
I NEED HELP ASAP
Answer:
First answer choice: [tex]y=\sqrt{x}[/tex] shifted right 6 units and down 2 units.
Step-by-step explanation:
Graph
A circular garden is surrounded by a circular path of 7m width.If the area of path is 770m²,find the area of the garden without path.
help me this question ⁉️
Answer:
Answer:
Radius of the circular garden
= 210 sq
=105m
Radius of the region covering the garden and the path =105m+7m
=112m
Area of the region between two concentric circles
with radius of outer circle R, and inner circle r =π(R sq−r sq)
Hence, the area of the path
=π(112sq−105 sq)= 7/22
(12544−11025)
= 33418/7
=4774m sq
HOPE THIS WILL HELP YOU MATE
Solve the equation and enter the value of x below. 9x + 4 + x = 54
Hello!
9x + 4 + x = 54 <=>
<=> 9x + x + 4 = 54 <=>
<=> 10x + 4 = 54 <=>
<=> 10x = 54 - 4 <=>
<=> 10x = 50 <=>
<=> x = 50 : 10 <=>
<=> x = 5 => 9 × 5 + 4 + 5 = 54
Good luck! :)
Answer:
x = 5
Step-by-step explanation:
First, combine like terms. Like terms are terms with the same variables as well as same amount of said variables:
9x + x + 4 = 54
(9x + x) + 4 = 54
10x + 4 = 54
Next, isolate the variable, x. Note the equal sign, what you do to one side, you do tot he other. Do the opposite of PEMDAS.
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
-
First, subtract 4 from both sides of the equation:
10x + 4 (-4) = 54 (-4)
10x = 54 - 4
10x = 50
Next, divide 10 from both sides of the equation:
(10x)/10 = (50)/10
x = 50/10 = 5
x = 5 is your answer.
~
PLEASE HELP! Which of the following ordered pairs is a solution to the given system of equations?
A. (12, 8)
B. (3, 5)
C. (-3, 3)
D. (0, 4)
please don’t use this for points.
Answer:
A.............
Step-by-step explanation:
. ..........
Answer:
C. (3,3)
Step-by-step explanation:
When These equations are both graphed the solution for these equations when they intersect is (-3,3)
Find the value of x that will make A||B.
Please help!
Answer:
x=30
Step-by-step explanation:
Hi there!
For A to be parallel to B, 5x would be equal to 3x+60. (If they were parallel, these two angles would be alternate exterior angles, which are equal.)
[tex]5x=3x+60[/tex]
Subtract 3x from both sides
[tex]5x-3x=3x+60-3x\\2x=60[/tex]
Divide both sides by 2
[tex]x=30[/tex]
I hope this helps!
If Clare earns $75 the next week from delivering newspapers and deposits it in her account, What will her account balance be then?\
answer pls
Answer: $15
Step-by-step explanation:
-$50 + $75 = $15
I need help figuring out what the answer is.
Answer:
A
Step-by-step explanation:
Wavelength varies inversely with frequency. Let k be the product of wavelength and frequency. Complete the table using the inverse variation relationship.
Answer:
Wavelength varies inversely with frequency.
Step-by-step explanation:
Wavelength varies inversely with frequency.
[tex]\lambda\propto \dfrac{1}{f}\\\\\lambda=\dfrac{k}{f}\\\\\lambda f=k[/tex]
Where
k is the constant and it is equal to the product of wavelength and frequency. It means when wavelength increases, the frequency decreases and vice versa.
8 Find the value of x a (22²)x is exponent of (22²) = 64
Given:
Consider the given equation is:
[tex](2\cdot 2^2)^x=64[/tex]
To find:
The value of x.
Solution:
We have,
[tex](2\cdot 2^2)^x=64[/tex]
It can be written as:
[tex](2\cdot 4)^x=8\times 8[/tex]
[tex]8^x=8^2[/tex]
On comparing the exponents of both sides, we get
[tex]x=2[/tex]
Therefore, the value of x is 2.
Which of the following inequalities matches the graph?
Answer:
the answer is C, comment if you need explanation
Step-by-step explanation:
write twelve thousand twelve hundred and twelve in numbers
Answer:
12, 120,012
Step-by-step explanation:
answer please i need to pass this class
Answer:
b
Step-by-step explanation:
Answer: B (option 3)
Step-by-step explanation:
When you multiply [tex]\sqrt{b}[/tex] by itself, the two square roots cancel our, giving you just b.
Complete the function for this graph.
Answer:
y = –|x - 1| + 3
Step-by-step explanation:
The "vertex" is (1 , 3)
y = –|x - 1| + 3
Drag the operator to the correct location on the image.
Which operation results in a binomial?
The correct answer is to drag The Plus sign (+)
What is an Operator?This has to do with the use of symbols to denote mathematical equations such as addition, subtraction, etc.
Hence, we can see that the correct position to put the operator on the image to result in a binomial is to drag the plus sign (+) so that the equations can be solved,.
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Answer:.
Step-by-step explanation:
Solve for x. I have to show my work and no decimal answers. It's not mandatory, i just don't understand how to solve the problem. Someone pls help ;) & actually explain it.
Answer:
-22.5.
Step-by-step explanation:
Lets say that you meant w as the variable.
-4/3 w = 30.
To get rid of the 3, lets multiply 3 to both sides. We get:
3(-4/3 w) = 3(30)
We get:
-4w = 90.
To solve for the w, lets get rid of the -4 by dividing it from both sides.
(-4w)/-4 = 90/-4
We get:
w = -22.5
Check it if you want to make sure.
find the size of each of the unknown angles.
plz solve this question fast as soon as possible with solution.
Answer:
Angle a = 80°, Angle b = 55°, Angle c = 45°, Angle d = 80°
Step-by-step explanation:
To find the measure of Angle a, we add 55 and 45, then subtract the sum from 180.
180 - 100 = 80
Angle a is 80°.
Then, we solve for Angle b. Line segment CD is congruent to Line AB, so Angle b is congruent to 55°.
After that, we find Angle c. Line segment AC is congruent to Line segment BD, so Angle c is congruent to 45°.
Lastly, we solve for Angle d using the same method we used for Angle b and Angle c. Angle d is congruent to Angle a, so it measures 80°.
So, Angle a = 80°, Angle b = 55°, Angle c = 45°, Angle d = 80°.
Please help, it is a graph question
Answer:
[tex]y = \frac{1}{2} x + \frac{1}{2} [/tex]
Step-by-step explanation:
choose 2 points to find slope
(1,1) (-3,-1)
[tex]m = \frac{ - 1 - 1}{ - 3 - 1} = \frac{1}{2} [/tex]
y-y1 = m(x-x1)
y-1 = 1/2( x-1)
y = 1/2x + 1/2
guessing
y= 1/2x + 1/2
did y2 - y1/ x2-x1
which gave
-3
-6
also it passed through the y axis at +1/2
A - H, please! thank you.
Answer:
First exercise
a) 1/8=0.125
b) 5$
c) y = 0.125 * x - 5
Second exercise
a) 0.11 $/KWh
b) no flat fee
c) y = 0.11 * x
Step-by-step explanation:
(See the pictures)
which of the following are identities? check all that apply.
A. (sinx + cosx)^2= 1+sin2x
B. sin6x=2 sin3x cos3x
C. sin3x/sinxcosx = 4cosx - secx
D. sin3x-sinx/cos3x+cosx = tanx
Answer: (a), (b), (c), and (d)
Step-by-step explanation:
Check the options
[tex](a)\\\Rightarrow [\sin x+\cos x]^2=\sin ^2x+\cos ^2x+2\sin x\cos x\\\Rightarrow [\sin x+\cos x]^2=1+2\sin x\cos x\\\Rightarrow \Rightarrow [\sin x+\cos x]^2=1+\sin 2x[/tex]
[tex](b)\\\Rightarrow \sin (6x)=\sin 2(3x)\\\Rightarrow \sin 2(3x)=2\sin (3x)\cos (3x)[/tex]
[tex](c)\\\Rightarrow \dfrac{\sin 3x}{\sin x\cos x}=\dfrac{3\sin x-4\sin ^3x}{\sin x\cos x}\\\\\Rightarrow 3\sec x-4\sin ^2x\sec x\\\Rightarrow 3\sec x-4[1-\cos ^2x]\sec x\\\Rightarrow 3\sec x-4\sec x+4\cos x\\\Rightarrow 4\cos x-\sec x[/tex]
[tex](d)\\\Rightarrow \dfrac{\sin 3x-\sin x}{\cos 3x+\cos x}=\dfrac{2\cos [\frac{3x+x}{2}] \sin [\frac{3x-x}{2}]}{2\cos [\frac{3x+x}{2}]\cos [\frac{3x-x}{2}]}\\\\\Rightarrow \dfrac{2\cos 2x\sin x}{2\cos 2x\cos x}=\dfrac{\sin x}{\cos x}\\\\\Rightarrow \tan x[/tex]
Thus, all the identities are correct.
A. Not an identity
B. An identity
C. Not an identity
D. An identity
To check whether each expression is an identity, we need to verify if the equation holds true for all values of the variable x. If it is true for all values of x, then it is an identity. Let's check each option:
A. [tex]\((\sin x + \cos x)^2 = 1 + \sin 2x\)[/tex]
To check if this is an identity, let's expand the left-hand side (LHS):
[tex]\((\sin x + \cos x)^2 = \sin^2 x + 2\sin x \cos x + \cos^2 x\)[/tex]
Now, we can use the trigonometric identity [tex]\(\sin^2 x + \cos^2 x = 1\)[/tex] to simplify the LHS:
[tex]\(\sin^2 x + 2\sin x \cos x + \cos^2 x = 1 + 2\sin x \cos x\)[/tex]
The simplified LHS is not equal to the right-hand side (RHS) 1 + sin 2x since it is missing the sin 2x term. Therefore, option A is not an identity.
B. [tex]\(\sin 6x = 2 \sin 3x \cos 3x\)[/tex]
To check if this is an identity, we can use the double-angle identity for sine:[tex]\(\sin 2\theta = 2\sin \theta \cos \theta\)[/tex]
Let [tex]\(2\theta = 6x\)[/tex], which means [tex]\(\theta = 3x\):[/tex]
[tex]\(\sin 6x = 2 \sin 3x \cos 3x\)[/tex]
The equation holds true with the double-angle identity, so option B is an identity.
C. [tex]\(\frac{\sin 3x}{\sin x \cos x} = 4\cos x - \sec x\)[/tex]
To check if this is an identity, we can simplify the right-hand side (RHS) using trigonometric identities.
Recall that [tex]\(\sec x = \frac{1}{\cos x}\):[/tex]
[tex]\(4\cos x - \sec x = 4\cos x - \frac{1}{\cos x} = \frac{4\cos^2 x - 1}{\cos x}\)[/tex]
Now, using the double-angle identity for sine, [tex]\(\sin 2\theta = 2\sin \theta \cos \theta\),[/tex] let [tex]\(\theta = x\):[/tex]
[tex]\(\sin 2x = 2\sin x \cos x\)[/tex]
Multiply both sides by 2: [tex]\(2\sin x \cos x = \sin 2x\)[/tex]
Now, the left-hand side (LHS) becomes:
[tex]\(\frac{\sin 3x}{\sin x \cos x} = \frac{\sin 2x}{\sin x \cos x}\)[/tex]
Using the double-angle identity for sine again, let [tex]\(2\theta = 2x\):[/tex]
[tex]\(\frac{\sin 2x}{\sin x \cos x} = \frac{2\sin x \cos x}{\sin x \cos x} = 2\)[/tex]
So, the LHS is 2, which is not equal to the RHS [tex]\(\frac{4\cos^2 x - 1}{\cos x}\)[/tex]. Therefore, option C is not an identity.
D. [tex]\(\frac{\sin 3x - \sin x}{\cos 3x + \cos x} = \tan x\)[/tex]
To check if this is an identity, we can use the sum-to-product trigonometric identities:
[tex]\(\sin A - \sin B = 2\sin \frac{A-B}{2} \cos \frac{A+B}{2}\)\(\cos A + \cos B = 2\cos \frac{A+B}{2} \cos \frac{A-B}{2}\)[/tex]
Let A = 3x and B = x:
[tex]\(\sin 3x - \sin x = 2\sin x \cos 2x\)\(\cos 3x + \cos x = 2\cos 2x \cos x\)[/tex]
Now, we can rewrite the expression:
[tex]\(\frac{\sin 3x - \sin x}{\cos 3x + \cos x} = \frac{2\sin x \cos 2x}{2\cos 2x \cos x} = \frac{\sin x}{\cos x} = \tan x\)[/tex]
The equation holds true, so option D is an identity.
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The area of a duck enclosure is 300 square feet, with 100 square feet occupied by a pond. Each duck in the enclosure needs more than 20 square feet of space on dry land. If x ducks can be put in the enclosure, which is the simplest inequality that represents this situation?
Answer: x = 100 duck
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
A tailor had 5000 buttons.He sawed 9 buttons on each shirt and had 2048 buttons left.Then,he sold all shirts at $36 each.find the total amount collected by the tailor?
Answer: $11,808
Step-by-step explanation:
5000 - 2048 = 2952
By subtracting the total number of buttons by the number of buttons left, it can be calculated that the tailor used a total of 2952 buttons.
Each shirt has 9 buttons, therefore the number of shirts can be calculated as:
2952 ÷ 9 = 328.
Since the shirts sold at $36 each and there are 328 shirts made, the total amount can be calculated as $36 · 328 = $11,808
(I hope this is right :\)
The total amount collected by the tailor $11,808.
What is division?Division is the process of splitting a number or an amount into equal parts.
Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
A tailor had 5000 buttons.
He sawed 9 buttons on each shirt and had 2048 buttons left.
Then, he sold all shirts at $36 each.
now,
5000 - 2048 = 2952
By subtracting the total number of buttons by the number of buttons left, it can be calculated that the tailor used a total of 2952 buttons.
Each shirt has 9 buttons, therefore the number of shirts can be calculated as:
2952 ÷ 9 = 328.
Since the shirts sold at $36 each and there are 328 shirts made,
the total amount can be calculated as $36 · 328
= $11,808
Hence, the total amount collected by the tailor $11,808.
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Point A (6,2) is translated using the vector <-5,2>. Where is the new point located?
======================================================
Explanation:
The notation <-5,2> is the same as writing the translation rule [tex](x,y) \to (x-5,y+2)[/tex]
It says: move 5 units to the left and 2 units up
The point (6,2) moves to (1,2) when moving five units to the left. Then it ultimately arrives at (1, 4) after moving 2 units up. You could move 2 units up first and then 5 units to the left later on, and you'd still arrive at (1, 4). In this case, the order doesn't matter (some combinations of transformations this won't be the case and order will matter).
---------
Or you could write out the steps like so
[tex](x,y) \to (x-5, y+2)\\\\(6,2) \to (6-5, 2+2)\\\\(6,2) \to (1, 4)\\\\[/tex]
We see that (6,2) moves to (1, 4)
write an expression for 15 divided by a number
show your work
Answer:
15/X
Step-by-step explanation:
a number divided by 15
15/X
There is $1.90 in a jar filled with
quarters, dimes, and nickels.
There are 2 more quarters than
dimes and there are 2 more
nickels than quarters.
How many of each coin are there?
Answer:
7 nickels, 5 quarters, 3 dimes
Step-by-step explanation:
7 nickels= 35 cents
5 quarters= $1.25
3 dimes= 30 cents
35+ 1.25+ 30= $1.90
Hope this helps!
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Celsius to Fahrenheit
Step-by-step explanation:
149......hshdbhdhsbhsjsusvshhs
identify an equation in point slope form for the line perpendicular to y=-1/3x-6 that passes through (-1,5)
20 Points- Which of the following is true for f of x equals the quotient of the quantity x squared plus 9 and the quantity x minus 3?
There is a removable discontinuity at x = 3.
There is a non-removable discontinuity at x = 3.
The function is continuous for all real numbers.
Answer:
There is a non-removable discontinuity at x = 3
Step-by-step explanation:
We are given that
[tex]f(x)=\frac{x^2+9}{x-3}[/tex]
We have to find true statement about given function.
[tex]\lim_{x\rightarrow 3}f(x)=\lim_{x\rightarrow 3}\frac{x^2+9}{x-3}[/tex]
=[tex]\infty[/tex]
It is not removable discontinuity.
x-3=0
x=3
The function f(x) is not define at x=3. Therefore, the function f(x) is continuous for all real numbers except x=3.
Therefore, x=3 is non- removable discontinuity of function f(x).
Hence, option B is correct.
find missing side of triangle, help!
Answer:
A √202km
Step-by-step explanation:
x²=11²-9²
x²=121-81
x²=202
√x²=√202
x=√202
emily earns $635 per week, how much is that in a year ? ( 52 weeks in a year )
Answer:
Emily will earn $33,020 in one year.
Step-by-step explanation:
635×52=33,020
If K is the midpoint of JL, JK = 8x + 11 and KL = 14x – 1, find JL.
Answer:
[tex]JL=54[/tex]
Step-by-step explanation:
We are given that K is the midpoint of JL. Using this information, we want to find JL.
By the definition of midpoint, this means that:
[tex]JK=KL[/tex]
Substitute them for their equations:
[tex]8x+11=14x-1[/tex]
Solve for x. Subtract 8x from both sides:
[tex]11=6x-1[/tex]
Add 1 to both sides:
[tex]6x=12[/tex]
And divide both sides by 6. Hence:
[tex]x=2[/tex]
JL is the sum of JK and KL. Hence:
[tex]JK+KL=JL[/tex]
Since JK = KL, substitute either one for the other:
[tex]JK+(JK)=2JK=JL[/tex]
Substitute JK for its equation:
[tex]2(8x+11)=JL[/tex]
Since we know that x = 2:
[tex]2(8(2)+11)=2(16+11)=2(27)=54=JL[/tex]
Thus:
[tex]JL=54[/tex]