1200 pounds of protein supplement and 600 pounds of standard protein is used.
Let a be the protein supplement and b be the standard protein.
Given that protein supplement and standard protein make 1800 pounds of high grade protein.
i.e., a+b = 1800 ------- (1)
45% a + 15% b = 35% 1800
0.45a + 0.15b = 1800 (3.5)
By (1), a = 1800 - b
Substituting, we get
0.45 (1800-b) + 0.15b = 630
810 - 0.45 b + 0.15b = 630
- 0.3 b = - 180
b = -180/-0.3
b = 600
Substituting b = 600 in (1),
we get
a = 1200.
Hence, 1200 pounds of protein supplement and 600 pounds of standard protein is used.
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Gabrielle's age is three times Mikhail's age. The sum of their ages is 36. What is Mikhail's age?
Answer:
Gabrielle is 27
Mikhail is 9
Step-by-step explanation:
g = 3m
g + m = 36
since g = 3m we can substitute it in the equation
g + m = 36 as
3m + m = 36
4m = 36
m = 9
3m = 27 which is g
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The following table shows how far a bus has gone in t hours. Which of the following equations represents this information?
Step-by-step explanation:
You need to attach the table in order to get an answer.
A car travels 18 mile in 213 minutes. What is its speed in terms of miles per minute?
Answer:
[tex]\textsf {0.08 miles per minute}[/tex]
Step-by-step explanation:
[tex]\textsf {Speed = Distance (Miles) / Time (Minute) }[/tex]
[tex]\textsf {Speed = 18 miles / 213 minutes }[/tex]
[tex]\textsf {Speed = 0.08 miles per minute }[/tex]
Answer:
The speed in miles per minute is 0.0845 mpm.
Step-by-step explanation:
The explanation above clearly states that a car travel a distance of 18 miles in a time of 213 minutes . And it is asking for speed in miles per minute. Keep this in mind that the symbol for miles per minute is mpm. Speed formula is distance ÷ time.
Speed = Distance ÷ Time
Speed = 18 m / 213 min
18 divided by 213 = 0.0845
speed = 0.0845 mpm
Therefore the speed in miles per minute is 0.0845 mpm.
Suppose that A ∩ C = B ∩ C. Is it true that A=B? Justify your answer.
Answer:
No
Step-by-step explanation:
If these two individual statements are true, it means they share the same elements of set C. In addition to this, sets A and B could have additional elements, hence this cannot be true.
Could use some help! Brainliest to who answers :)
Answer:
N. The number of people purchasing coffee each day in a coffee shop
Step-by-step explanation:
A fraction of a person could not buy coffee because every person is a whole person. If something is not a person, it's not a person. Therefore, the only numbers you could add to this value are 0 and 1.
The graphs of exponential functions f and g are shown on the coordinate plane below.
Answer:
-5
Step-by-step explanation:
Since g(x) is f(x) shifted 5 units down, g(x) = f(x) -5. Therefore k = -5
sketch the graph of y =sine3x
The graph of [tex]\mathbf{y=\sin{3x}}[/tex] is given by,
Here given the function is [tex]y=\sin{3x}[/tex]
when [tex]x=0\Rightarrow y=\sin{3\times 0}=\sin0=0[/tex], then it passes through the origin (0,0).
When [tex]x=\frac{\pi}{6}\Rightarrow y=\sin{3\times\frac{\pi}{6}}=\sin\frac{\pi}{2}=1[/tex]
Since we know that, [tex]-1\leq\sin{x}\leq1,\forall x[/tex], then the function has maximum height at [tex]x=\frac{\pi}{6}[/tex].
Again when [tex]x=\frac{\pi}{3}\Rightarrow y=\sin{(3\times\frac{\pi}{3})}=\sin\pi=0[/tex], again the function is 0.
So clearly the function is the Oscillating function with a maximum value of the function as 1 and a minimum value of the function as -1.
Range of the oscilaltion of the function = 1-(-1) = 1+1 = 2
Using graphing calculator we get the graph of function [tex]y=\sin3x[/tex],
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Y=3x-7 complete the missing value in the solution to the equation (1,
Answer: (1, -4) or y = -4
Step-by-step explanation:
Given:
y = 3x - 7
Plug in the value of 1 for x - given to us by "(1, ?)
y = 3x - 7
y = 3(1) - 7
Multiply:
y = 3 - 7
Subtract:
y = -4
y = -4
PLease simplify this!!!
show all work!
The simplified form of the given expression is [tex]\frac{27}{4x^{12} y^{8} }[/tex].
The given expression is [tex]\frac{4(3x^{2} y^{4} )^{3} }{(2x^{3} y^{5} )^{4} }[/tex].
What are exponents?Exponentiation is a mathematical operation, written as bⁿ, involving two numbers, the base b and the exponent or power n, and pronounced as "b raised to the power of n".
We need to simplify the given expression.
Now, [tex]\frac{4(3^{3}x^{6} y^{12} )}{2^{4} x^{12}y^{20} }[/tex]
⇒[tex]\frac{108x^{6}y^{12} }{16x^{12} y^{20} }[/tex]
⇒[tex]\frac{27}{4x^{12} y^{8} }[/tex]
Therefore, the simplified form of the given expression is [tex]\frac{27}{4x^{12} y^{8} }[/tex].
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Donna took out a loan for $17,000 and was charged simple interest at an annual rate of 6.8% .
The total interest she paid on the loan was $867 . Do not round any intermediate computations.
Total amount she paid to repay her loan was $17,687
Amount is the total sum of money paid to the bank.It is basically the sum of interest and principal amount.
Principal is the sum of money taken from the bank
Interest is the sum of money charge by the bank during the period of loan repayment.
Rate of interest is the rate at which interest is charge in the principal sum
Time is the total period of the loan repayment.
Simple interest = (P x Rx T)/100
where, P=principal
R=rate of interest
T= time
Amount= Principal +Interest
As per question,
P=$17000
R=6.8%
I=$687
Amount=P+I
=$17000+687
=$17687
Therefore,Total amount she paid to repay her loan was $17,687
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distribute 5x(3x+7)
help asap
Answer:
The Answer is 50 or 50x
Answer: 15x^2+35x ✅
Step-by-step explanation:
Hii, do you need to distribute [tex]\boldsymbol{5x(3x+7)}[/tex]? No problem! (:
How to Distribute?We can solve problems like this one by using what is known as the "distributive property". What it says is: If you have a term that comes before the parentheses, you multiply it times every single term in the parentheses. Let me show you what I mean...
[tex]\twoheadrightarrow\sf 5x(3x+7)[/tex]
[tex]\bullet[/tex] Multiply 5x tmes 3x and 7 - you will obtain
[tex]\twoheadrightarrow\sf 15x^2+35x[/tex] (if we multiply x times x we obtain x²)
Voila! There's our solution, cheers! (:
--
Hope that this helped! Best wishes.
[tex]\it Reach\quad far.\:Aim\quad high. \,Dream\quad big.[/tex]
[tex]\bigstar\underbrace[/tex]
--
answer a-d please!!!!!!!!!!!!!!!!
a) Intercepts are the points on the x and y axis
In the graph:
x-int: (-2,0), (2,0)
y-int: (0,1)
b) Domain is the list of x-values and Range is the list of y-values that make this graph true
Interval notations of domain and range
(Square brackets because the circles are closed)
Domain: [3,3]
Range: [0,3]
c) Intervals of increase and decrease: where the graph is increasing and decreasing
Increasing: -2 to 0 & 2 to 3
Decreasing: -3 to -2 & 0 to 2
d)Even, odd or neither
It is an even degree as both of its hands are facing upwards
Hope it helps!
-2/9u=12
Solve for u
u=-54
you have -54 because
-54(-2)=108/9=12
Answer:
u =-54
Step-by-step explanation:
-2/9u=12
To solve for u multiply each side by -9/2 to isolate u
-9/2 * -2/9 u= 12 * -9/2
u =-54
A circle has a radius of 5 ft, and an arc of length 7 ft is made by the intersection of the circle with a central angle. Which equation gives the measure of the central angle, q? 08- 5 O 0-7+5 O e-7-5
The equation gives the measure of the central angle 7/5 times 3 60/2 π.
What is Central angle?An angle with its vertex at the center of a circle and with sides that are radii of the circle.
radius= 5 feet.
Circumference of circle,
= 2πr
=2*3.14*5
= 31.4 feet.
Arc length = 7.
Then, the part of circle 7 feet arc have
=7/31.4
=0.2229
Also, 0.2229 * 360 = 80.244°
In radian,
80.244° = 1.4 radians
Hence, 7/5 times 360/2 π.
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Suppose that
f
(
x
,
y
)
=
x
+
5
y
f
(
x
,
y
)
=
x
+
5
y
at which
−
1
≤
x
≤
1
,
−
1
≤
y
≤
1
-
1
≤
x
≤
1
,
-
1
≤
y
≤
1
.
Absolute minimum of
f
(
x
,
y
)
f
(
x
,
y
)
is
Absolute maximum of
f
(
x
,
y
)
f
(
x
,
y
)
is
========================================================
Explanation:
The range of x values is [tex]-1 \le x \le 1[/tex] which means x = -1 is the smallest and x = 1 is the largest possible.
Similarly the smallest y value is y = -1 and the largest is y = 1.
----------
Plug in the smallest x and y value to get
f(x,y) = x+5y
f(-1,-1) = -1+5(-1)
f(-1,-1) = -6
Therefore, the absolute min is -6
----------
Now plug in the largest x and y values
f(x,y) = x+5y
f(1,1) = 1+5(1)
f(1,1) = 6
The absolute max is 6
DO NOT PUT A WRONG ANSWER OR ELSE I WILL START TO REPORT YOU!!! MAKE SURE THAT YOU SHOW ALL THE STEPS OR SOLUTIONS AND EXPLAIN THE PROBLEM.
Consider a ‘Witch of Agnesi’ curve, defined:
x^2 y + 4y = 8
Find:
a) dy/dx as a function of x, using implicit differentiation. Then, verify your result by finding y explicitly and differentiating.
b) The equation of the tangent line to the graph when x = 2.
The answers are as follow:
a) y'= -2x/y
b) y' = -4/y
Why do we use implicit differentiation?
The technique of implicit differentiation allows you to find the derivative of y with respect to x without having to solve the given equation for y.
Given:
x²y+4y=8
On differentiation
applying product rule
2xy+ x²y' = 0
2xy = - x²y'
2y = -xy'
y'= -2x/y
b) equation of the tangent line to the graph when x = 2.
y' = -4/y
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What is 4 third written in expanded form
Which graph shows the greatest integer function?
By critically observing the given graphs, we can logically deduce that "graph C" returns greatest integer that is less than or equal (≤) to x.
What is a greatest integer function?A greatest integer function can be defined as a type of function which returns the greatest integer that is less than or equal (≤) to the number.
Mathematically, the greatest integer that is less than or equal (≤) to a number (x) is represented as follows:
y = [x].
By critically observing the given graphs, we can logically deduce that y in "graph C" returns greatest integer that is less than or equal (≤) to x.
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6. Using the discriminant, determine the value of k that will give 1 solution (i.e. discriminant equals zero) y = kx²-4x + 4
Answer:
k = 1
Step-by-step explanation:
Discriminant
[tex]b^2-4ac\quad\textsf{when }\:ax^2+bx+c=0[/tex]
[tex]\textsf{when }\:b^2-4ac > 0 \implies \textsf{two real roots}[/tex]
[tex]\textsf{when }\:b^2-4ac=0 \implies \textsf{one real root}[/tex]
[tex]\textsf{when }\:b^2-4ac < 0 \implies \textsf{no real roots}[/tex]
As we need to determine the value of k that will give one solution, set the discriminant to zero.
Given equation:
[tex]y=kx^2-4x+4[/tex]
Therefore:
a = kb = -4c = 4Substitute these values into the discriminant and solve for k:
[tex]\begin{aligned}b^2-4ac & = 0\\\implies (-4)^2-4(k)(4) & = 0\\16-16k & = 0\\16k & = 16\\\implies k & = 1\end{aligned}[/tex]
If 22% of high school students say they eat out 3 times a week, how many students of the 2346 students who attend WHS would you expect eat out 3 times a week?
Answer:
516 students eat out 3 times a week
Step-by-step explanation:
22% of 2346 is 516.12 and a person can't be a decimal so it's 516
22 x 2346 = 51612
and 51612÷100 = 516.12
We would expect about 516 WHS students to eat out 3 time
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that 22% of high school students say they eat out 3 times a week
We need to find the number of students of the 2346 students who attend WHS would you expect eat out 3 times a week
We can start by using the proportion:
(22/100) = (x/2346)
where x is the number of students we would expect to eat out 3 times a week.
To solve for x, we can cross-multiply:
100x = 22 × 2346
100x = 51612
Divide both sides by 100
x = 516.12
Hence, we would expect about 516 WHS students to eat out 3 time
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The line whose equation is y=4x+2 has a y-intercept with coordinates
Answer: 2xy
Step-by-step explanation: 2xy is the answer bra
Assume that a procedure yeilds a binomial with n trial and the probability of success for one trial is p. Use the given values of n and p to find the mean and standard deviation. Also, use the range rule of thumb to find the minimum usual value mean -2standard deviation and the maximum usual value mean + 2 standard deviation n=1490,p=2/5
The value of minimum usual value is, [tex]\mu-2\sigma=-119.2[/tex]
The value of maximum usual value is, [tex]\mu+2\sigma=1311.2[/tex]
Given the values of the parameters of Binomial Distribution are,
Total number of trials (n) = 1490
probability of success in one trial is (p) = 2/5
The probability of failure in on trial is given by,
[tex]q=1-p=1-\frac{2}{5}=\frac{5-2}{5}=\frac{3}{5}[/tex]
For Binomial distribution we know that,
Mean [tex](\mu)=np=1490\times\frac{2}{5}=596[/tex]
and Standard Deviation [tex](\sigma)=\sqrt{npq}=\sqrt{1490\times\frac{2}{5}\times\frac{3}{5}}=357.6[/tex]
Now, calculating the required measurement we get,
The minimum usual value is given by,
Mean -2 Standard Deviation [tex]=\mu-2\sigma=596-2\times357.6=-119.2[/tex]
The maximum usual value is given by,
Mean + 2 Standard Deviation [tex]=\mu+2\sigma=596+2\times357.6=1311.2[/tex]
Hence the minimum and maximum usual values are -119.2 and 1311.2 respectively.
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Inverse Function: One to one function...Help needed! 15 pts for your help!
Answer:
Step-by-step explanation:
hello :
Help please asap I’m desperate!
Answer:
f(x)=x-2x+3; f(x)=-bx
x-2x=3=-bx
x+4x+3=0
(x+3) (x+1) = 0
x=-3 or x=-1
when x+-3. f(x)=b x(-3)=18
x=-1. f(x) = - b x (-1) = b
so system of equations : ( -3, -18)
; (-),b
Step-by-step explanation:
hope it helps
Which of the following slopes of a line pass through points (1, -3) and (0, 2)?
m=5
m = -5
m = undefined
None of these choices are correct.
The slope of the line that passes through (1, -3) and (0, 2) is: B. m = -5.
What is the Slope of a Line?Slope (m) = rise / run = change in y / change in x.
Given the points, (1, -3) and (0, 2):
Slope (m) = (-3 - 2)/(1 - 0)
Slope (m) = -5/1
Slope (m) = -5
Therefore, the slope of the line is: B. m = -5.
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ASAP NOW! PLSS! I WILL MARK 5 STARS! PLSSS! thank you!! At noon, the temperatures in Portland, Maine and Phoenix, Arizona had opposite values. The temperature in Portland was lower than in Phoenix. What was the temperature in each city? Explain your reasoning.
Opposite values are those values which on the number line has the same distance between them and zero. The temperature in each city is PoT=-PhT and PhT =+PoT.
What are opposite values?Opposite values are those values which on the number line has the same distance between them and zero. Although the sign on the values may be difference. For example if the first value is 4, then its opposite value is -4.
In general, the temperature equation for Portland, Maine is stated mathematically as
PoT=-PhT
As it is given in the question that the Portland, Maine and Phoenix, Arizona had opposite values. Also, the temperature in Portland is lower than in Phoenix. Therefore, the temperature in each city can be written as,
PoT=-PhT
PhT =+PoT
Hence, the temperature in each city is PoT=-PhT and PhT =+PoT.
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Which statement illustrates a simulation that could be used to generate samples of people on a game show selecting either door A, door B, or door C?
Answer:
The correct option is;
B. Rolling a die; 1 or 2 represents door A, 3 or 4 represents door B, and 5 or 6 represents door C
How can I simplify this equation 2y+3(x-4x)
Answer:
2y - 9x
Step-by-step explanation:
2y + 3 ( x - 4x )
First, solve the brackets.
2y + 3x - 12x
Combine like terms.
2y - 9x
Answer:
[tex]\sf 2y-9x[/tex]
Step-by-step explanation:
Hi There Student! Let me help you out on this question.
________________________________________________________
SimplifyingIn this problem, we are given an expression [tex]\longmapsto\pmb{2y+3(x-4x)}[/tex], and asked to simplify it.
↪
First, we can perform the operation inside the parentheses, x-4x:
[tex]\longmapsto\sf 2y+3(-3x)}[/tex].
Now we can multiply 3 times -3x:
[tex]\longmapsto\sf 2y-9x[/tex]
And that is our final answer, because 2y and -9x are not like terms.
Hope that this helped! Have a good day ahead.
Best Wishes!
[tex]\star\bigstar\overline{\overline{\underline{\underline{\textsf {Reach far. Aim high. Dream big.}}}}}\bigstar\star[/tex]
◆◈-Greetings!-◈◆
-______________________________
If a patient is given 3 tablespoons of medication for me for 150 ML bottle how many millimeters of medication remain in the bottle
Answer:
105.6397
ROUNDED ANSWER:
105
Multiply (Make sure to show work on a separate sheet of paper)
Please use the equation writer that is on top. Look for this sign √ and click on it. That will allow you to write an exponent.
(2x−4)(x−6)
Answer:
[tex]2x^{2}[/tex] - 16x + 14
Step-by-step explanation:
(2x - 4)(x - 6)
= (2x + −4)(x + −6)
= (2x)(x) + (2x)(−6) + (−4)(x) + (−4)(−6)
= [tex]2x^{2}[/tex] − 12x − 4x + 24
= [tex]2x^{2}[/tex] - 16x + 14
