hope this helps
Answer:
1.)19m+14n
2.)170^2-30s
3.)-199+72k
4.)-7pq+6p+q+4
5.)-7c+9
6.)-110t+160
Step-by-step explanation:
A function is given.
f(x) = 5 − 3x^2; x = 3, x = 3 + h
(a) Determine the net change between the given values of the variable.
The net change between the given values of the variable is; - 3x² - 6xh - 3h² + 23
What is the Net Change of the Function?
We are given the function;
f(x) = 5 - 3x²
x = 3
x = 3 + h
The net change is just looking for the difference between f(3) and f(3 + h). Thus, we will evaluate the function at x = 3 and x = 3 + h and then calculate f(3 + h) - f(3).
f(3 + h) = 5 - 3(x + h)²
= 5 - 3x² - 6xh - 3h²
f(3) = 5 - 3(3)²
f(3) = 5 - 27
f(3) = -18
Net Change = f(3 + h) - f(3)
= 5 - 3x² - 6xh - 3h² + 18
= - 3x² - 6xh - 3h² + 23
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factor 3a^2b^2+15ab^3 please show work
Answer:
3ab²(a + 5b)
Step-by-step explanation:
3a²b² + 15ab³ ← factor out 3ab² from each term )
= 3ab²(a + 5b)
Lucretia who works part time as a substance abuse counselor ,earns $18.15 per hour and works 20 hours per week. she is single and claims one withholding allowance. she lives in a state with no income tax
Answer:
$363
Step-by-step explanation:
i mean with what your given it 18.15 x 20 x could be . for others
How many times larger is 6.255 x 10^10 than 1.5 × 10^8?
4.17
24.0
240
417
we get that 6.255 × 10¹⁰ larger than 1.5 × 10⁸ by 417 times.
We are given two expressions:
6.255 × 10¹⁰ and 1.5 × 10⁸
We need to tell that how much times is 6.255 × 10¹⁰ larger than 1.5 × 10⁸.
We will do this with the help of division.
So, we get that:
= 6.255 × 10¹⁰ ÷ 1.5 × 10⁸
= 6.255 × 10¹⁰⁻⁸ ÷ 1.5
= 6.255 × 10² ÷ 1.5
= 625.5 ÷ 1.5
= 417
Therefore, we get that 6.255 × 10¹⁰ larger than 1.5 × 10⁸ by 417 times.
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What is 48,100,000,000,000 in scientific notation? 4.81 x 10^-11, 4.81 x 10^-13, 4.81 x 10¹¹, 4.81 x 10¹³
Check the picture below.
Simplify a raised to the negative two power over quantity 3 times b raised to the fourth power end quantity all cubed.
A: 1 over quantity 9 times a raised to the sixth power times b raised to the twelfth power end quantity
B: 1 over quantity 27 times a raised to the sixth power times b raised to the twelfth power end quantity
C: 27b12a6
D: quantity 27 times b raised to the twelfth power end quantity over a raised to the sixth power
The solution to simplifying the given expression using laws of exponents is; B: 1 over quantity 27 times a raised to the sixth power times b raised to the twelfth power end quantity
How to use laws of exponents?
Some of the Laws of Exponents are;
When multiplying similar bases, retain the base as same and add the exponents. When raising a base with a power raised to another one, retain the base the same and multiply the exponents. When dividing like bases, keep the base the same and subtract the denominator exponent from the numerator exponent.We want to simplify a raised to the negative two power over quantity 3 times b raised to the fourth power end quantity all cubed. This is expressed as;
(a⁻²/3b⁴)³
Using the second law of exponent quoted above, we have;
(a⁻²*³)/(3³b⁴*³) = a⁻⁶/27b¹² = 1/a⁶27b¹²
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finding the slope of (1, 1), (-1,-4) from two points
Answer:
2.5
Step-by-step explanation:
The difference between the Y axis is 2, and the difference between the X axis is 5 so you divide 5 by 2 to get 2.5
PLEASE HELP ILL GIVE BRAINELST
Answer:
1) 8
2) 3
3) 4
4) 5
5) 6
6) 2
7) 1
8) 18
Step-by-step explanation:
whenever you see a letter, just change that letter with whatever the guide says, for example, 6+c would be 6+2, which is 8. Another example is ab, which would be 6 times 3 because a is 6 and b is three
5 + 2[(4 + 2)^2 – (3^3 + 2)]
Answer:
19
Step-by-step explanation:
PEMDAS is your bff here:
5 + 2[(4 + 2)^2 – (3^3 + 2)]
Do the parenthesis first (yes i do solve for 3^3 and add the 2 to it, it makes it quicker)
5 + 2[(6)^2 - 29)]
now do exponents
5 + 2 (36 - 29)
subtraction
5 + 2(7)
multiple cation
5 + 14
And add those together to get 19
NEED SOLUTION
Give the quotient of the following:
Need solution
1.168 ÷ 8
2.246÷12
3.4328÷4
4.729÷9
5.8415÷5
Answer
1.168 ÷ 8= 0.146
2.246÷12= 0.1871
3.4328÷4=0.8582
4.729÷9=0.5254
5.8415÷5=1.168
Step-by-step explanation:
On April 1, Mr. Olson’s meter read 7,329 kw-hr. On may 1, the meter read 8,284 kw-hr. At $.08 per kw-hr, what was his electric bill for the month of April?
His electric bill for the month of April is $76.4
How to determine his electric bill for the month of April?The given parameters are
April 1 = 7,329 kw-hr.
May 1 = 8,284 kw-hr
Rate = $.08 per kw-hr
His electric bill for the month of April is calculated as
Bill = (May 1 - April 1) * Rate
So, we have
Bill = (8,284 - 7,329) * .08
Evaluate
Bill = 76.4
Hence, his electric bill for the month of April is $76.4
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PLEASE PLEASE HELP ME!!
which one do you need answered look it up
What is the arena of the circle for model 3
The area of the circle is approximately 78.5 square meters
What are areas?The area of a shape is the amount of space on the shape
How to determine the area of the circle?The given parameters are:
Radius = 5
The area of a circle is calculated using
A = pi r^2
In this case
pi = 3.14
So, we have:
A = 3.14 * 5^2
Evaluate the product
A = 78.5
Hence, the area of the circle is approximately 78.5 square meters
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Possible question
What is the area of a circle for model 3 where the radius is 5 meters.
Use pi approx3.14 . The area of the circle is approximately square meters
Enter only the number.
Which graph represents the inequality 0.5 is greater than the product of −2.5 and a number?
number line with open circle on point 0.2 and arrow shaded to the left
number line with open circle on point negative 5 and arrow shaded to the left
number line with open circle on point negative 0.2 and arrow shaded to the right
number line with open circle on point negative 5 and arrow shaded to the right
The correct graph representation of the given inequality is,
⇒ Number line with open circle on point negative 0.2 and arrow shaded to the right.
What is Inequality?
A relation by which we can compare two or more mathematical expression is called an inequality.
The written expression is given as,
0.5 is greater than the product of −2.5 and a number.
Let a number is x.
Then, The given expression is written as;
0.5 > -2.5x
Now, We can solve as;
0.5 > -2.5x
Multiply by -1 we get;
- 0.5 < 2.5x
-0.2 < x
Hence, The graph of inequality is;
⇒ Number line with Open circle on point negative 0.2 and arrow shaded to the right.
So, The correct graph representation of the given inequality is,
⇒ Number line with open circle on point negative 0.2 and arrow shaded to the right.
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Answer:
A
Step-by-step explanation:
help me please please please!!!!
Subtract.
(2x² + 5) - ( − 3x² + 5)
Answer:
Step-by-step explanation:
1) distribute the signs to the brackets
2x^2 + 5 + 3x^2 - 5
2) solve
5x^2 + 0
Hopefully, it's correct and helpful
Frances left a 22% tip on a meal. Including the tip, its cost was 21.96 what was the cost of the meal before the tip
Hence we would conclude that If Frances left the tip of 22 percent on a meal, the cost of the meal before the tip would be 18 dollars.
How to solve for the cost of the tipLet us define x to be the cost of the meal
such that we would have
x + 22%x = 21.96
= x + 0.22x = 21.96
1.22x = 21.96
We would have to divide through the equation that we have by 1.22
x = 21.96 / 1.22
x = 18
X is the cost for the meal that that Frances ate before she gave the tip that she did to the waiter.
Hence we would conclude that If Frances left the tip of 22 percent on a meal, the cost of the meal before the tip would be 18 dollars.
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How many natural numbers below 2021 have exactly 15 positive integer factors
Answer:
ITO PO ANSWER:PA BRAINLEST NALANG PO HEHE
(Cosec a -cot a)^2=1-cos\1+cos
Answer:
Step-by-step explanation:
[tex]\displaystyle\\(cosec \alpha -cot\alpha )^2=\\\\(\frac{1}{sin\alpha } -\frac{cos\alpha }{sin\alpha })^2 =\\\\(\frac{1-cos\alpha }{sin\alpha } )^2=\\\\\frac{(1-cos\alpha)^2 }{sin^2\alpha }=\\\\ \frac{(1-cos\alpha )^2}{1-cos^2\alpha } =\\\\\frac{(1-cos\alpha )^2}{(1+cos\alpha )(1-cos\alpha )} =\\\\\frac{1-cos\alpha }{1+cos\alpha }[/tex]
Estimate the distance you can travel in 6 hours 55 minutes if you drive on average 51 miles per hour. Round your answer to the nearest mile
- - - - - - - - - - - - - - - - - - - - - - - -
Heyo! Your explanation is below, if necessary.
- - - - - - - - - - - - - - - - - - - - - - - -
If it's 51 miles per hour, simply multiply the distance by the number of hours.
51 x 6 = 306
51 x 55/60 = 46.75
Now, add the products.
306 + 46.75 = 352.75
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Have a great day/night!
~pinetreee :)
: Using the variable below, is the equation and its solution below true or false for the variable?
X = 4
7 + x = 11
Select all the correct answers.
Consider the circle represented by this equation.
X^2+4x+y^2-2y-4=0
Which features are features of the circle?
center at (-2, 1)
radius of 1
radius of 3
radius of 9
center at (2,-1)
center at (-4, 2)
Answer ASPA
Based on the calculations, the features which are features of the circle include the following:
center at (-2, 1).radius of 9.What is a circle?A circle can be defined as a closed, two-dimensional curved geometric shape with no edges or corners. Also, a circle refers to the set of all points in a plane that are located at a fixed distance (radius) from a fixed point (central axis).
The equation of a circle.Mathematically, the standard form of the equation of a circle is given by;
(x - h)² + (y - k)² = r²
Where:
h and k represents the coordinates at the center.r represents the radius of a circle.Given the following equation:
x² + 4x + y² - 2y - 4 = 0
x² + 4x + y² - 2y = 4
Next, we would evaluate the equation by using completing the square method:
x² + 4x + 4 + y² - 2y + 1 = 4 + 5
(x² + 2x + 2x + 4) + (y² - y - y + 1) = 9
(x + 2)² + (y - 1)² = 3²
By comparing the above equation with the standard form of the equation of a circle, we have:
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I need to know how how to do these please.
The scatter plot shows negative correlation because as the plotted values of x increase, the values of y generally decrease.
What is negative correlation?When two variables are said to have negative correlation, it means that they move in the opposite direction from each other. When one variable is increasing, the other variable is decreasing.
The values of x and y in order of x are:
x 3 4 5 6 7 8 9
y 6 7 5 4 3 4 2
As shown above, when x increases, y generally decreases and when x decreases, y generally increases. This is therefore a negative correlation relationship.
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dose the base have to be flat when finding base x height?
for finding the parallegram for height dose the height have to touch and make a 90 degree angle?
Find the point t=4pi/3
The point t on the unit circle is ( -1/2, √3 /2 ).
The intersection of the x-axis (the horizontal number line) and the y-axis in the cartesian system divides the coordinate plane into four equal pieces. Because each of these four areas occupies a quarter of the entire coordinate plane, they are collectively referred to as quadrants.
Consider the point t = - 4π/3 on the circle.
Now, the reference angle is π / 3.
- 4π / 3 is in quadrant 2 where the value of cosine is negative and sine is positive.
Therefore, the point t(x,y) will be:
( x, y ) = ( - cos ( π / 3 ), sin ( π / 3 ) )
( x, y ) = ( - 1/ 2 , (√3 )/ 2 )
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Jeremiah finished 3/4 of his timed math quiz. Of those he attempted, he correctly answered 5/9
The fractional part of the quiz that he get correct will be 5/12.
How to calculate the value?From the information, Jeremiah finished 3/4 of his timed math quiz. Of those he attempted, he correctly answered 5/9.
The fractional part of the quiz that he get correct will be
= 3/4 × 5/9
= 5/12
Therefore, the fractional part of the quiz that he get correct will be 5/12.
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Jeremiah finished 3/4 of his timed math quiz. Of those he attempted, he correctly answered 5/9. What fractional part of the quiz did he get correct?
Problem is In the photo.
please help I’m confused :/
Which table best shows the average speed of the toy car at different time intervals?
Answer:
Table A
Step-by-step explanation:
Note that the curve flattens out between 4 and 6 s
So the average speed is 0( the train is standing still) in the time interval 4-6 s
From the tables we can see that (A) and (D) are the only two tables that have average speed of 0 for 4-6 second interval. So let's eliminate the other two(B and C) and focus on these two
Looking at tables A and D we can see that the average speed in the 0-2 interval is 1.0 for both
So let's focus on the only entry where the tables show different values ie the interval 2-4 = 2s)
Looking at the graph we can see that in the interval 2-4, the train travels from distance of 2m to distance of 3m. In other words it covers a distance of 1 meter ( 3 - 2 ) in 2 seconds
Therefore average speed at this time interval = 1m/2sec = 0.5 m/s
So table A shows the correct average speed
Help solve the perimeter of this shape.
The perimeter CDE of the triangle is solved to be 9.66 (to the nearest hundredth)
How to find the perimeter of CDE
Given data
C ( 4, -1 )
D ( 4, -5)
E ( 2, -3 )
perimeter of CDE = CD + CE + DE
length = √(x2 - x1)^2 + (y2 - y1)^2
using C ( 4, -1 ) and D ( 2, -3 )
CD = √(4 - 4)^2 + (-1+5)^2
CD = √(4)^2
CD = 4
using C ( 4, -1 ) and E ( 2, -3 )
CE = √(4 - 2)^2 + (-1+3)^2
CE = √(2)^2 + (2)^2
CE = √8
using D ( 4, -5) and E ( 2, -3 )
CD = √(4 - 2)^2 + (-5 + 3)^2
CD = √(2)^2 + (-2)^2
CD = √8
the perimeter = 4 + √8 + √8
the perimeter = 4 + √8 + √8
the perimeter = 9.6568
the perimeter = 9.66 (to the nearest hundredth)
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Calculate the required rate of return for Mercury Inc., assuming that investors expect a 5% rate of inflation in the future. The real risk-free rate is equal to 3% and the market risk premium is 5%. Mercury has a beta of 2.0, and its realized rate of return has averaged 15% per year over the last 5 years.
The required rate of return for Mercury Inc., assuming that investors expect a 5% rate of inflation in the future is 18%.
How to calculate the rate if return?Real risk free rate = 3%
Inflation Premium = 5%
Nominal risk free rate Rf = Real risk free rate + Inflation Premium = 3% + 5% = 8%
Market risk premium (Rm –Rf) = 5%
Beta = 2
As per CAPM, required rate of return:
= Rf + beta * (Rm – Rf)
= 8% + 2 * 5%
= 8% + 10%
= 18%
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