Answer:
\(\mathrm{{\left[\begin{array}{ccc}\:\:&True&False\\10 : 18&x&\\6 : 10&&x\\30 : 54&x& \\27 : 15&&x\end{array}\right] }}\\\)
Step-by-step explanation:
The ratio of blue paint to yellow paint that makes the green paint is 5:9. This means that for every 5 gallons of blue paint, 9 gallons of yellow paint are used. To determine which of the given ratios will make the same shade of green paint, we can simplify them to see if they are equivalent to the ratio 5:9.
10:18 simplifies to 5:9 (dividing both sides by 2), so this ratio will make the same shade of green paint.
6:10 simplifies to 3:5 (dividing both sides by 2), so this ratio will not make the same shade of green paint.
30:54 simplifies to 5:9 (dividing both sides by 6), so this ratio will make the same shade of green paint.
27:15 simplifies to 9:5 (dividing both sides by 3), so this ratio will not make the same shade of green paint.
So, the ratios that will make the same shade of green paint are 10:18 and 30:54.
3. 5 points
(2) There are two shades of light blue paint getting mixed. Mixture A is made with 5 cups of blue paint and 2 cups of white paint. Mixture B is made with 10 cups of blue paint and 6 cups of white paint. Which mixture is a lighter shade of blue? *
Mark only one oval.
Mixture A
Mixture B
Both make the same shade of blue. HELP ME ASAP
Solve each inequality Exercises 65-70 and graph the solution set on a real number line.
Answer:
Where are the exercizes.
Simplify the expression
9− 3(2)2
Answer:
-3
Step-by-step explanation:
9-3(2)2
9-(6)2
9-12
-3
Answer:
- 3
Step-by-step explanation:
These are the steps that I used are:
First, use PEMDAS.
Multiply and divide left to right.
\(3\left(2\right)\cdot \:2\)
\(3\left(2\right)=6\)
\(=6\cdot \:2\) = 12.
\(= 9-12\)
Second, add and subtract, (left to right).
\(9-12=-3\)
= - 3.
So, 9 - 3(2)2 = -3.
1. Select all equations that have two solutions.
A.x² = 16
B. 4x² = 0
C. x² = -16
D. 3x + 2 = 14
Ex² - 1 = 24
F) (x + 8) (x - 8) = 0
p(x)=5x^4+7x^3-2x^2-3x+c divided by (x+1)
The remainder is 5 + c, which means that the expression P(x) = \(5x^4 + 7x^3 - 2x^2 - 3x + c\) divided by (x + 1) results in a quotient of\(5x^3 + 2x^2 - 4x + 4\) and a remainder of 5 + c.
To divide the polynomial P(x) = \(5x^4 + 7x^3 - 2x^2 - 3x + c\) by the binomial (x + 1), we can use polynomial long division.
Let's set up the long division:
\(5x^3 + 2x^2 - 4x + 4\)
_______________________
x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)
We start by dividing the highest degree term of the dividend (5x^4) by the divisor (x + 1), which gives us 5x^3. We then multiply this quotient by the divisor (x + 1) and subtract it from the dividend:
\(5x^3(x + 1)\)
_______________________
x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)
- (\(5x^3 + 5x^2)\)
This leaves us with a new polynomial:\(2x^3 - 7x^2 - 3x + c\). We repeat the process by dividing the highest degree term of this polynomial (2x^3) by the divisor (x + 1), resulting in 2x^2. We then multiply this quotient by the divisor and subtract it from the polynomial:
\(5x^3(x + 1) + 2x^2(x + 1)\)
_______________________
x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)
-\((5x^3 + 5x^2)\)
_______________________
\(2x^2 - 3x + c\)
We continue this process until we reach the constant term, resulting in the remainder of the division.
At this point, we have:
\(5x^3(x + 1) + 2x^2(x + 1)\)
_______________________
x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)
- \((5x^3 + 5x^2)\)
_______________________
\(2x^2 - 3x + c\)
-\((2x^2 + 2x)\)
_______________________
- 5x + c
- (-5x - 5)
_______________________
5 + c
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For each proof, you must include (i.e., write) the premises in that proof. I do not want to see any proofs without premises. YOU CANNOT USE CONDITIONAL PROOF (CP), INDIRECT PROOF (IP), OR ASSUMED PREMISES (AP). Additionally, use only the 18 rules of inference found in the text and in the notes. If you use an inference rule such as Resolution or Contradiction, you will lose points. 1. 1. C ---> (~D ---> ~X)2. C3. X /D (Note: /D means you have to prove that D validly follows from the premises.)_________________________________________________________________2. 1. A ---> ~B2. B3. ~A ---> (C v ~ B) /C____________________________________________________________________3. 1. A ---> ~D2. ~D ---> (~B v ~~A)3. A4. B /~~A___________________________________________________________________Note:you don't need to use DN and when you have iterated negation signs, do not use parentheses.~~A does not need parentheses.
B is true, so we can conclude ~~A by disjunctive syllogism.
This proof is based on the inference rules you provided.
D Proof: Premises:
C ---> (~D ---> ~X)
The Modus Ponens Rule was used.
Finally, X /D
Explanation: Using Modus Ponens, we can conclude that D ---> X from premises 1 and 2.
Because premise 2 is true, we can conclude X via modus tollens.
We can conclude that D must be false because X is true.
Evidence for C:
Conditions: A ---> B B
Modus Tollens is the rule that was used.
Finally, C / A
Explanation: Using Modus Tollens, we can conclude from premises 1 and 2 that A.
Because A is false in premise 1, we can conclude that B is true.
Because premise 2 is true, we can conclude C using disjunctive syllogism.
Proof for ~~A:
Premises:
A ---> ~D
~D ---> (~B v ~~A)
A
B
Rule used: Modus Ponens
Conclusion:
~~A /B
Explanation:
From premise 1 and 3, using Modus Ponens, we can conclude that ~D.
From premise 2 and ~D, using Modus Ponens, we can conclude that ~B v ~~A.
From premise 4, B is true, so we can conclude ~~A by disjunctive syllogism.
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Which of these best explains the next step to simplify this expression?
Answer:
Make the -4 exponent in the denominator positive.
Help need this fast graphs
Please Help!!!!!!!!!!!!
Note that given that the temperature is modeled as a sinusoidal function, the temperature, to the nearest degree, at 9 AM is 51 degrees Fahrenheit.
What is the rationale for the above response?To model the outside temperature over a day as a sinusoidal function, we need to determine the amplitude, period, phase shift, and vertical shift.
A sinusoidal function is a mathematical function that describes a wave-like pattern that repeats itself over a period of time or distance and can be modeled using sine or cosine functions.
Given that the high temperature of 68 degrees occurs at 6 PM, we can assume that this is the maximum temperature for the day, which corresponds to the amplitude of the sinusoidal function. Thus, the amplitude is 6 degrees.
Since the average temperature for the day is 55 degrees, this corresponds to the vertical shift of the sinusoidal function. Therefore, the equation for the temperature function is:
T(t) = 6sin(ωt + φ) + 55
where ω is the angular frequency, and φ is the phase shift.
The period of the sinusoidal function is 24 hours, since the temperature pattern repeats itself every 24 hours. Therefore, the angular frequency is:
ω = 2π/period = 2π/24 = π/12
To find the phase shift, we need to determine how much the function is shifted to the right or left. Since the high temperature of 68 degrees occurs at 6 PM, which is 12 hours after midnight, the phase shift is:
φ = -ωt = -(π/12)(12) = -π
Therefore, the equation for the temperature function is:
T(t) = 6sin(π/12 * t - π) + 55
To find the temperature at 9 AM, we use the equation for the temperature function:
T(t) = 6sin(π/12 * t - π) + 55
Substituting t = 9 into the equation, we get:
T(9) = 6sin(π/12 * 9 - π) + 55
Simplifying the argument of the sine function:
π/12 * 9 - π = π/4
Substituting into the equation:
T(9) = 6sin(π/4) + 55
Using the value of sin(π/4) from the unit circle:
sin(π/4) = √2/2
Substituting into the equation:
T(9) = 6(√2/2) + 55
Simplifying:
T(9) = 3√2 + 55
Approximating to the nearest degree:
T(9) ≈ 51 degrees
Therefore, the temperature at 9 AM is approximately 51 degrees Fahrenheit.
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I NEED HELP!!!!!!!!!!!!!!!!!
What'a the lowest whole number please
Answer:
0 is the lowest whole number
Answer:
0
Step-by-step explanation:
open side of: > means greater than. 0 is opposite side meaning it is lowest.
27.5% of US adults are college graduates.
A) Use StatKey or other technology to generate a sampling distribution for the sample proportion of college graduates using a sample size of n = 5. Generate at least 1000 sample proportions. Give the center of the sampling distribution and give the standard error.
B) Repeat part (a) using a sample size of n = 500.
C) If we took many samples of size 50 from the population of all inductees and recorded the proportion who were performers for each sample, what shape do we expect the distribution of sample proportions to have where do we expect it to be centered?
Complete Question
The complete question is shown on the first uploaded image
Answer:
a
center is 0.275
\(SE = 0.063\)
b
center is 0.275
\(SE = 0.020\)
Step-by-step explanation:
considering question a
From the question we are told that
The sample size is n = 50
The proportion of US adults are college graduates is p = 0.275
Generally the center is equivalent to the proportion so the center is 0.275
Generally the standard error is
\(SE = \sqrt{\frac{p * (1- p)}{ n} }\)
=> \(SE = \sqrt{\frac{0.275 * (1- 0.275)}{ 50} }\)
=> \(SE = 0.063\)
considering question b
The sample size is n = 500
The proportion of US adults are college graduates is p = 0.275
Generally the center is equivalent to the proportion so the center is 0.275
Generally the standard error is
\(SE = \sqrt{\frac{p * (1- p)}{ n} }\)
=> \(SE = \sqrt{\frac{0.275 * (1- 0.275)}{ 500} }\)
=> \(SE = 0.020\)
In the sampling distribution, the center of the sampling distribution is 0.275 and the standard error is 0.063.
What is sampling distribution?A sampling distribution simply means the probability distribution that is gotten from a larger number of samples that are drawn from a population.
In this case, the center of the sampling distribution is 0.275 and the standard error is 0.063. The standard error will be:
= [p × (1 - p)]/n
= [0.275 × (1 - 0.275)]/50
= 0.0039875
= ✓0.0039875
= 0.063
Also, when the sample is 500, the center of the sampling distribution is 0.275 and the standard error is 0.020.
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Can someone please help me?!?! I need this done before 1-5-21
Answer:
8=w, -8=w (±8=w)
Step-by-step explanation:
192=\(3w^{2}\)
First, divide by 3
64=w²
now take the square roots of 64 and w² ( we're thinking about which numbers/variables will be multiplied to get 64 and w². They are 8 and w. But wait! -8 can also work, since when you square it a negative number, it will turn positive. )
8=w, -8=w
You can also write it as ±8=w
Hope this helps!
Charlie saves $22.25 each month for 6 months. In the seventh month, he only saves $10.30. How much money will Charlie have saved after 7 months?
Charlie would save $143.8 after 7 months.
find the perimeter of the figure below composed of a rectangle and a semi circle round to the nearest tenths place
Given parameters:
We have two shapes, the rectangle and semi circle;
The problem is to find the perimeter of the shape given
The perimeter of a body is the total length of the body.
Here, it is the sum of the perimeter of the rectangle and semi-circle.
Note, to remove repetition, we to deduct 6 which is a common point to both of them.
Perimeter of a semi-circle = Circumference of semi- circle
= πr² x \(\frac{1}{2}\)
The diameter here is 6 and radius is 3;
Circumference of semi-circle = π x 3² x \(\frac{1}{2}\) = 14.14
Perimeter of rectangle = 2(6+8) = 28
The perimeter of the figure = 14.14 + 28 - 6 = 36.1
The perimeter of the figure is 36.1
how would i anwser this? help pls!
Answer:
Step-by-step explanation:
To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.
For example:
y=-2/3(-6)=7
-2/3x6=-4
-4+7=3
(-6,3)
You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.
To get the x value, you need to fill in the y in the equation y=-2/3x+7
for example:
5=-2/3x+7
-2=-2/3x
3=x
(3,5)
y=-2/3x+7
y=-2/3(15)+7
y=-10+7
y=-3
(15,-3)
y=-2/3x+7
15=-2/3x+7
8=-2/3x
-12=x
(-12,15)
What is the value of 9(4x - 4) when x = 5
Answer:
144
Step-by-step explanation:
plug in 5 where you see the x.
that gives us 9(4(5)-4)
multiply the 4 and the 5 first to get 9(20-4)
and by PEMDAS, we solve the parentheses first so now we have 9(16)
so now just multiply 9x16 to get 144
Step-by-step explanation:
9((4×5)-4)
9(20-4)
9(16)
144
SHARE 300 USING 2:3:5
If we divide 300 into parts using the ratio 2:3:5, we get:
2 parts = 2/10 of the total ratio = 2/10 x 300 = 60
3 parts = 3/10 of the total ratio = 3/10 x 300 = 90
5 parts = 5/10 of the total ratio = 5/10 x 300 = 150
Therefore, 300 divided in the ratio 2:3:5 would result in three parts of 60, 90, and 150.
I hope I helped!
~~~Harsha~~~
3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
What is 10 - (-18) in a integer
Answer:
28
Step-by-step explanation:
10 - (-18)
=> 10 + 18
=> 28
Hoped this helped.
Answer:
10 - (-18)
= 10 + 18
= 28
Step-by-step explanation:
Given that P(x)=x^5-8x^3-x^2+2, what is the remainder when it is divided by x-5?
Answer:
2102
Step-by-step explanation:
The polynomial function P(x)=x^5-8x^3-x^2+2, if it is divided by x-5, first we need to get x from the divisor as shown
since d(x) = x-5
x-5 = 0
x = 5
Substitute x = 5 into the expression to get the remainder
P(x)=x^5-8x^3-x^2+2
P(5)=(5)^5-8(5)^3-(5)^2+2
P(5) = 3125-1000-25+2
p(5) = 2100+2
P(5) = 2102
Hence the remainder is 2102
Who makes it, has no need of it.
Who buys it, has no use for it.
Who uses it can neither see nor feel it.
What is it?
It's a coffin because the person who makes it is alive so they don't need to use it, the person who buys it is also alive and buying it for someone else.
The person who is using it has passed away so they can't see or feel anything.
:( This is one morbid riddle.
goyeggoyeceo y sit stuu try steet8eitccetiectoce58
Step-by-step explanation:
yeti et87stps tu et8 e85et 8
u0r as8tcc85e7ce5ctce5e5c8cr6
I ts its 7w496 w4y rs9rr s77
a. y = -1/4x + 6Slope:y-intercept:(0,Db. y=-3Slope:y-intercept:(0,c. -4x + 2y = 16Slope:Yintercept: (0,
The Slope-intercept form of a line:
y = mx + b
where m is the slope and (0,b) is the y-intercept
a. y = -1/4x + 6
slope: -1/4
y-intercept: (0, 6)
b. y = -3
slope: 0
y-intercept: (0, -3)
c. -4x + 2y = 16
Isolating y:
\(\begin{gathered} 2y=4x+16 \\ y=\frac{4x+16}{2} \\ y=\frac{4x}{2}+\frac{16}{2} \\ y=2x+8 \end{gathered}\)slope: 2
y-intercept: (0, 8)
Given that f (x) = 2/x^2 , What is the value of f(x) when x = 2?
Answer:
The answer to the question is 1
HELP ME ASAP PLS. If 19,432 divided by x equals 48 with a remainder of 232. What is X?
The value of x, given that when it divides a number, there is a quotient and a remainder, is 400
How to find the value of x?To find the value of divisor, we can use a variant of the division algorithm formula :
Divisor = ( Dividend - Remainder ) / Quotient
x is the divisor
Dividend = 19, 432
Remainder = 232
Quotient = 48
This means that the value of x is:
x = ( 19, 432 - 232 ) / 48
x = 19, 200 / 48
x = 400
In conclusion, x is 400.
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please answer asap please
A piano mover uses a ramp to move a piano into a house. The doorway to the house is 2 feet above the ground and the ramp starts 7 feet from the doorway. Assuming the ground is level and is perpendicular to the side of the house, what is the approximate length of ramp? You must round your answer to two decimal places.
Which arrangement shows - 31 -4.7, -4, and 3 in order from least to greatest?
o - 47, -4, -3, -3;
0 -35,-
-4.7
0 -33, -4, -3, -4.7
-4.7, -35.-31.-4
O
Answer:
1/2 is a zero answer
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
Which numbers are equivalent to 250%
a. 3/2
b. 2 1/2
c. 25
d. 5/2
Answer:
b
Step-by-step explanation:
each half is 50%
2 + 1/2 = 250%
The fraction equivalent to 250% is 5/2.
What is percentage?A percentage is a number that tells us how much out of 100 and can also be written as a decimal or a fraction. To change the percentage to a fraction, put the percentage number in the numerator and 100 in the denominator.
Given that, Which numbers are equivalent to 250%
Converting 250% into fraction by put the number in the numerator and 100 in the denominator.
250/100 = 25/10
= 5/2
Hence, the number is 5/2
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yeah. I'm a need help due tomorrow morning
Answer:
Step-by-step explanation:
I CHECKED UR OTHER ONE CHECK IT PETER :>
Answer:
Ranked least to greatest:
l 125 l
l -127 l
l -132 l
(the absolute value of 125, the absolute value of -127, and the absolute value of -132)
Step-by-step explanation:
Absolute value are the bars around a number that essentially is the distance of that number from ZERO. An easy way to visualize this is through a numberline. Therefore, even negative numbers under the absolute value of, become positive since the distance from zero can't be negative.
Looking at the problem, descending means going down in this case it symbolizes the negative.
So putting absolute value bars around each number we know that the absolute value of 125 is 125.. The absolute value of -132 is 132. The absolute value of -127 is 127.
Ordered from least to greatest we get: 125, 127, 132.
hope that helped! please mark brainliest:)
Mark what answer it is