\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{r^6}{r^2}\implies r^6\cdot r^{-2}\implies r^{6-2}\implies r^4\)
What transformation(s) have been applied to function f(x) to get g(x)? Check all that apply.translationreflectiondilationrotation
Transformations that have been applied to function f(x) to get g(x) are translation, reflection, and dilation.
The process of transforming the existing graph or graphed equation, to create a variation of the following chart is called graph conversion. Transformations such as translation, reflection, and dilation have been applied to function f(x) to produce g(x).
Whenever the function is "translated" it is moved in such a very way that it will not alter the shape or rotate in any way.The reflection is a modification of the function's graph all along the x or y-axis (or both).Dilation is defined as a stretch or shortening about in an axis caused by multiplying or subdivisions.Therefore, the answer is "translation , reflection , and dilation".
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Answer:
A) Translation
B) Reflection
C) Dilation
Step-by-step explanation:
What is the reason for statement 7 in the given proof?
A) definition of midpoint
B) definition of slope
C) parallel lines have equal slopes.
D) using point-slope formula
Answer: definition of slope
Step-by-step explanation:
The results in step 7 come from substituting the coordinates into the slope formula.
A cell phone company sells about 500 phones each week when it charges $75 per phone. It sells about 20 more phones per week for each$1 decrease in price. The company's revenue is the product of the number of phones sold and the price of each phone. What price should the company charge to maximize its revenue?
The company can maximize its revenue by charging the price of $73 per phone.
Changing the price and monitoring how many phones are sold in reaction to the price change allows for trial-and-error in determining accuracy.
With 520 phones sold each week at $73, the corporation will make a total of $38,160 in revenue. There are 20 more phones than when it was charging $75, thus the business will make an additional $1,500 every week.
Due to the increased number of phones sold, the corporation may increase revenue by merely $2 by lowering the price, leading to an increase in both total revenue and profit.
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PLS HELP ME!!! I AM GIVING ALL MY POINTS OUT( look I don't have alot of points don't bully me(⌐■_■))
Answer:
9x
Step-by-step explanation:
3x3=9 +x=9x hope this helps
Simplify this expression.
–6w + (–8.3) + 1.5+ (–7w)
The simplified form of the expression -6w + (–8.3) + 1.5+ (–7w) is -13w - 6.8.
What is the simplified form of the expression?Given the expression in the question;
-6w + (–8.3) + 1.5+ (–7w)
To simplify, first remove the parenthesis
Note that;
- × + = -- × - = ++ × + = +-6w + × - 8.3 + 1.5 + × - 7w
-6w - 8.3 + 1.5 - 7w
Next collect and add like terms
-6w - 7w - 8.3 + 1.5
Add -6w and -7w
-13w - 8.3 + 1.5
Add -8.3 and 1.5
-13w - 6.8
Therefore, -13w - 6.8 is the simplified form.
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Farmer Brown own 31 chicken. One day, two foxe eat ome of the chicken. One fox eat 8 chicken, and the other eat 12. How many chicken doe Farmer Brown have left?
Answer:
11
Step-by-step explanation:
Would Gestaltists be considered empiricists or rationalists?
In terms of the philosophical debate between empiricism and rationalism, Gestaltists would likely fall more on the side of empiricism.
Gestalt psychology emphasizes the study of perception and the organization of sensory information, which is distinct from the traditional approaches of behaviorism and structuralism. Gestaltists believe that perception is more than the sum of its parts and that the mind constructs meaning through organizing sensory information into wholes or gestalts.
This is because they prioritize the role of sensory experience in shaping perception and understanding of the world. They argue that the mind is not a blank slate, but rather that it processes sensory information in a holistic manner to construct meaning.
However, it is important to note that Gestalt psychology is not necessarily tied to either the empiricist or rationalist tradition, as it has its own unique theoretical framework that emphasizes the importance of context, organization, and pattern recognition in perception and cognition.
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7) Determine the equation of the line in the form y=mx+B that goes through the two points (5,10) and (9,20).
Find value of X in the isosceles triangle shown below
Answer:
x=10
Step-by-step explanation:
Using Pythagorean theorem,
(√13^2-12^2)×2
(√169-144)×2
(√25)×2
5×2=10
What is the answer?
-1.2x=12
775757874875875345634634563456
Let A = 8î + 5ĵ B = -3î + 3ĵ Ċ = 1î - 9ĵ Complete each vector sum. A+B+C = A - B+C = î+ î+ 3> Ĵ A+B-C= A - B - C =
The vector sums A+B+C and A-B+C are equal to the vectors î+î+3ĵ and -2î+7ĵ, respectively.
The vector A has a magnitude of 8 in the î direction and 5 in the ĵ direction. Vector B has a magnitude of 3 in the opposite direction of î and 3 in the ĵ direction. Vector C has a magnitude of 1 in the î direction and 9 in the opposite direction of ĵ.
For the vector sum A+B+C, we add the corresponding components of A, B, and C.
A = 8î + 5ĵ
B = -3î + 3ĵ
C = 1î - 9ĵ
Adding the î-components: 8î + (-3î) + 1î = 6î
Adding the ĵ-components: 5ĵ + 3ĵ + (-9ĵ) = -ĵ
Therefore, A+B+C = 6î - ĵ + 3ĵ = 6î + 2ĵ.
Similarly, for the vector sum A-B+C, we subtract B and add C to A.
Subtracting the î-components: 8î - (-3î) + 1î = 12î
Adding the ĵ-components: 5ĵ + 3ĵ + (-9ĵ) = -ĵ
Therefore, A-B+C = 12î - ĵ + 3ĵ = 12î + 2ĵ.
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Which point on the accompanying number line best represents the position of square root 5? *
i need help hurry in a test
The number line is missing, so i have attached it.
Answer:
Point C
Step-by-step explanation:
From calculator, square root of 5 gives us; √5 = 2.236
Now, looking at the number line attached, the point that best represents the value of the square root value of 2.236 will be point C because is lies between 2 and 3 which corresponds to our calculated value of 2.236
The point (rote 3, -1)is on the terminal side of the an angle theta. Find sin theta
We have that the angle is 330°
Now
\(\sin (330)=-\frac{1}{2}=-0.5\)What is the circumference and area of a circle in which the diameter of the circle is 16 feet
Answer:
The circumference is 50.27 and the area is 201.06 I rounded up to the nearest hundredths. And I used actually pi not just 3.14, here it is in the terms of using 3.14 circumference is 50.24 no rounding and area is 200.96 and no rounding, I hope this helps
Step-by-step explanation:
There are black and white counters in a bag in the ratio 20:17
There are 54
more black counters than white counters.
How many black counters are there?
There are 360 black counters and 306 white counter in 20:17 ratio.
Let's denote the number of black counters by B and the number of white counters by W. We know that the ratio of black to white counters is 20:17, which means that:
B/W = 20/17
We also know that there are 54 more black counters than white counters, which means that:
B = W + 54
We can use substitution to solve for B. Substituting the second equation into the first equation, we get:
(W + 54)/W = 20/17
Cross-multiplying, we get:
17(W + 54) = 20W
Expanding the left side, we get:
17W + 918 = 20W
Subtracting 17W from both sides, we get:
918 = 3W
Dividing both sides by 3, we get:
W = 306
Now we can use the second equation to find B:
B = W + 54 = 306 + 54 = 360
Therefore, there are 360 black counters in the bag.
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find the perpendicular (4, -1); y = 2x -4
Answer:
y = - \(\frac{1}{2}\) x + 1
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x - 4 ← is in slope- intercept form
with slope m = 2
given a line with slope m then the slope of a line perpendicular to it is
\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{2}\) , then
y = - \(\frac{1}{2}\) x + c ← is the partial equation
to find c substitute (4, - 1 ) into the partial equation
- 1 = - 2 + c ⇒ c = - 1 + 2 = 1
y = - \(\frac{1}{2}\) x + 1 ← equation of perpendicular line
Jill's pencil is 10, 2/ 5
And jenny's pencil is 13.5 cm long but I still don't understand like how much longer is jenny's pencil that Jill's
Answer:
Jenny's pencil is 3.1 cm longer than Jill's pencil
Step-by-step explanation:
Given that Jill's pencil is 10 2/5 cm while jenny's pencil is 13.5 cm then to know how much longer jenny's pencil is than Jill's you apply subtraction.
Jenny's pencil length - Jill's pencil length
13.5 cm - 10.4 cm = 3.1 cm
9514 1404 393
Answer:
3.1 cm
Step-by-step explanation:
The difference in lengths is ...
13 5/10 - 10 4/10 = 3 1/10 . . . centimeters
Jenny's pencil is 3.1 cm longer than Jill's.
__
Comment on the subtraction
Above, we have converted both numbers to mixed numbers with a common denominator. You can just as easily convert both numbers to decimal values.
10 2/5 = 10 4/10 = 10.4
Then 13.5 -10.4 = 3.1, as above.
__
The wording "how much longer is A than B?" means, "what is the difference A - B?" That difference is found by subtraction. Many graphing calculators will let you enter mixed numbers as part of an expression, so your calculator may be able to find this value for you.
find an ordered pair x-2y=4
The ordered pair for the equation x-2y=4 will be (-4,-4).
What is the equation?A mathematical equation is a claim that two expressions, which may contain variables or numbers, are equal. Equations are essential questions, and the main motivations for the development of mathematics have been efforts to methodically discover answers to these questions.
It is given that the equation is x-2y=4.
We have to find the ordered pair for the triangle.
You may run a test to see whether an ordered pair is a solution to an equation. Put the ordered pair's x-value into the equation after identifying it. It is clear that the ordered pair is a solution to the equation if, after simplifying, the y-value you obtain matches the y-value in the ordered pair.
The question is incomplete.
The complete question is to find the ordered pair of the equation x-2y=4 is the coordinates (-4,y)
x-2y=4
-4-2y=4
-2y=4+4
2y=-8
y= -4
Thus the ordered pair will be (-4,-4).
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y=-3x
6x-y=9 solve in substitution method
Answer:
x = 1
y = -3
Step-by-step explanation:
We will take our equation and substitute it, giving us:
6x - (-3x) = 9
Since there are two negatives We make it a positive. 6x + 3x = 9.
9x = 9
x = 1
Then we substitute, we will get 6 - y = 9.
6 = 9 + y
y = -3
We can now check this, substituting we get:
6 - (-3) = 9
6 + 3 = 9
Everything checks out.
PLEASE SOLVE THIS WITH FULL EXPLANATION ASAP I HAVE A MATH EXAM
Answer:
3/5y
Step-by-step explanation:
6y/35 ÷10y^2/7
to solve this you do reciprocal of 10y^2/7
then;
6y/35 x 7/10y^2
solving this
3/5y
4237÷19 with a remainder
Answer:
Be SMART
Step-by-step explanation:
SORRY SORRY... thx for points though
Answer: It's 223 there is no remainder.
Step-by-step explanation:
Hope This Helps!! : )
At a zoo, 3 pandas eat a total of 181 1 2pounds of bamboo shoots each day. The male panda eats 3 times as much as the baby. The female eats twice as much as the baby. How many pounds of bamboo shoots does the female panda eat?
Answer:
6037.2 pounds of bamboo shoots does the female panda eat.
Step-by-step explanation:
Total pandas = 3
Total bamboo shoots eaten = 18112 pounds
Let baby panda eats bamboo = x
Male panda eats bamboo= 3x
Female panda eats bamboo = 2x
So, the equation will become
\(x+3x+2x=18112\)
Now solving the equation to find value of x
\(x+3x+2x=18112\\6x=18112\\x=\frac{18112}{6}\\x=3018.6\)
The value of x we get : x=3018.6
So, baby panda eats bamboo shoots = 3018.6 pounds
Male panda eats bamboo shoots = 3x = 3(3018.6) = 9055.8 pounds
Female panda eats bamboo shoots = 2x = 2(3018.6)= 6037.2 pounds
So, 6037.2 pounds of bamboo shoots does the female panda eat.
find the future value of $750 deposited each month at 3.25% for 15 years
Answer:
P=1538.461
Step-by-step explanation:
do it by the formula of
I=PRT, I=750 R=3.25% T=15
Find the value of x. Round to the nearest degree.
A right triangle is drawn with an angle that is labeled x degrees. The leg opposite of the labeled angle is 7. The hypotenuse is 9.
Rounding to the nearest degree, we get x = 53 degrees.
We can use the inverse sine function (sin⁻¹) to find the value of x.
From the sine rule,
sin(x) = opposite/hypotenuse
\(sin(x) = 7/9\\x = sin^{-1}(7/9)\)
Using a calculator, we find that x is approximately 53.13 degrees. Rounding to the nearest degree, we get x = 53 degrees.
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If the distribution of absences was displayed in a histogram, what would be the best description of the histogram’s shape?.
The best description is skew right. (the date is missing in this question)
What is Skew right?
A distribution is right skewed if it has a “tail” on the right side of the distribution
The cumulative relative frequency graph shows that
The slope between 0 and 4 is substantially steeper than the curve between 6 and 14.
Then
Because most of the data values are between 0 and 4 (where the histogram's highest bar appears) and relatively few values lie between 6 and 14 the histogram's distribution should be skewed to the right, resulting in low bars tailing to the right side of the highest bars.
Because there are more data values between 0 and 4 than between 6 and 14 we can conclude that skewed right is the best description of the histogram's form. Hence, the it is skewed right.
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A television screen, length is 16 1/2 inches, width is w inches, and area is 462 square inches. Select all THREE equations that represent the relationship of the length, width, and area of the television.
Answer:
it's B, C, and D
Step-by-step explanation:
A. w ⋅ 462 = 16 1/2
not A
w * a ≠ l
B. 16 1/2 ⋅ w = 462
is B
l * w = a
C. 462 ÷ 16 1/2 = w
is C
a / l = w
D. 462 ÷ w = 16 1/2
is D
a / w = l
E. 16 1/2 ⋅ 462 = w
not E
l * a ≠ w
How do find a slope???? I'm so confused
Answer:
Slope =rise/run Slope = rise/run
Explanation:
Using two of the points on the line, you can find the slope of the line by finding the rise and the run. The vertical change between two points is called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run
A deli sells sandwich spread 6.40 per pound. How much do you pay for 24 ounces
Answer:
$9.60
Explanation: Take the 24 ounces and divide that by 16 to get 1.5 pounds. Then multiply 6.40 by 1.5 and you get the answer of $9.60
Help me pls I beg you pls help me need answer I’m around 10 mins pls helpASAPP
Answer:
-1, 1, 3, 5, 7, 9
Just replace x in the equation y=2x+3 with the values given in the question
The Smith Family is buying a house for $350,000 with a down payment of $70,000 for a 15-year loan, $66 per month insurance, property tax is $230 per month and HOA is $600 per year. Calculate their total monthly payment
Using monthly payment formula, the Smith Family's total monthly payment is approximately $2,360.99.
What is the Monthly Payment?To calculate the total monthly payment for the Smith Family, we need to consider the mortgage payment, insurance, property tax, and HOA fees.
1. Mortgage Payment:
The loan amount is the house price minus the down payment:
$350,000 - $70,000 = $280,000.
To calculate the monthly mortgage payment, we need to determine the interest rate and loan term. Since you mentioned it's a 15-year loan, we'll assume an interest rate of 4% (which can vary depending on market conditions and the borrower's credit).
We can use a mortgage calculator formula to calculate the monthly payment:
M = P [i(1 + i)ⁿ] / [(1 + i)ⁿ⁻¹]
Where:
M = Monthly mortgage payment
P = Loan amount
i = Monthly interest rate
n = Number of months
The monthly interest rate is the annual interest rate divided by 12, and the loan term is 15 years, which is 180 months.
i = 4% / 12 = 0.00333 (monthly interest rate)
n = 180 (loan term in months)
Plugging in the values into the formula:
M = $280,000 [0.00333(1 + 0.00333)¹⁸⁰] / [(1 + 0.00333)¹⁸⁰⁻¹]
Using a calculator, the monthly mortgage payment comes out to be approximately $2,014.99.
2. Insurance:
The monthly insurance payment is given as $66.
3. Property Tax:
The monthly property tax payment is given as $230.
4. HOA Fees:
The HOA fees are stated as $600 per year. To convert this to a monthly payment, we divide by 12 (months in a year): $600 / 12 = $50 per month.
Now, let's add up all these expenses:
Mortgage payment: $2,014.99
Insurance: $66
Property tax: $230
HOA fees: $50
Total monthly payment = Mortgage payment + Insurance + Property tax + HOA fees
Total monthly payment = $2,014.99 + $66 + $230 + $50
Total monthly payment = $2,360.99
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