Answer:
1.2115/12 times
7=25.179
2.?????????
Let f(x)=x-4 and g(x)=x²-16 . Perform each function operation and then find the domain. g(x)-f(x)
The domain for g (x) - f (x) = x² - x - 12 will be all real numbers when f (x) = x - 4 and g (x) = x² - 16.
We are given the two functions as:
f (x) = x - 4
g (x) = x² - 16
Now, first, we need to subtract f (x) from g (x).
So, we get that:
g (x) - f (x) = x² - 16 - (x - 4)
g (x) - f (x) = x² - 16 - x + 4
g (x) - f (x) = x² - x - 12
Now, the domain of the function will be all real numbers as it will be defined for all the real numbers.
Therefore, we get that the domain for g (x) - f (x) = x² - x - 12 will be all real numbers when f (x) = x - 4 and g (x) = x² - 16.
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[ -2/3 x (-2/3) ] x ( -9/4)
The value of the expression [ -2/3 x (-2/3) ] x ( -9/4) is -1
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to evaluate the expression?The expression is given as
[ -2/3 x (-2/3) ] x ( -9/4)
Evaluate the expression in the bracket
So, we have
[ -2/3 x (-2/3) ] x ( -9/4) = [4/9] x ( -9/4)
Evaluate the product
[ -2/3 x (-2/3) ] x ( -9/4) = -1
Hence, the value of the expression [ -2/3 x (-2/3) ] x ( -9/4) is -1
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complete the input-output table for the function. then find the domain and range of the function represented by the table.
The Domain of set is {0, 2, 4, 6}
The Range of the set is {3, 2, 1, 0}
What is Range of set?
The range is the set of possible output values, which are shown on the y-axis.
The function is given as;
y = -1/2 x + 3
Now, The values of x are given as;
x = 0, 2, 4, 6
Hence, The value of y are find as;
When x = 0
y = -1/2 * 0 + 3 = 3
When x = 2
y = -1/2 * 2 + 3
y = 2
When x = 4
y = -1/2 * 4 + 3
y = 1
When x = 6
y = -1/2 * 6 + 3
y = 0
Hence, All values of y are {3, 2, 1, 0}
So, The Domain of set is {0, 2, 4, 6}
The Range of the set is {3, 2, 1, 0}
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Rahul wants to ride his bicycle 22 miles this week. He has already ridden 10 miles. If
he rides for 4 more days, what is the average number of miles he would have to ride
each day to meet his goal?
Answer:
Rahul needs to ride 3 miles a day to meet his target.==============================
GivenTarget distance = 22 miles,Distance already ridden = 10 miles,Time to travel the rest of the distance = 4 days,Average rate for 4 days = x miles.We have the following linear equation to represent given situation:
22 = 10 + 4xSolve it for x to get the average number of miles:
4x = 22 - 104x = 12x = 12/4x = 3In linear equation, He ride 3 miles each day.
Variable: x = Constant distance distance traveled each day.
Equation : 10+4x= 22
What is a formula for linear equations?
Y = mx + b, where x and y are the variables, m is the slope of the line, and b is the y-intercept, is a straightforward way to write the linear equation formula. Slopes provide information about a line's direction and steepness.Total distance needs to travel = 22 miles
Distance already traveled = 10 miles
He will ride bicycle for 4 more days.
Let x = Constant distance distance traveled each day.
Total distance = 10+4x
10+4x = 22
4x = 22 - 10
4x = 12
x = 3
Hence, he rode 3 miles each day.
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PLEASE HELP MEH MARKING BRAINLIEST
Answer:
27
Step-by-step explanation:
Count each individual cube.Answer: Volume is calculated by lenght x width x height ,so you would say 6 x 4 x 4. Which is 96 cubic units !!!
Step-by-step explanation:
Select all of the Corresponding angles
Answer:
The top 2 and the bottom right!
Hope this helps!
10. If PORS is a square and TR = 17, find each missing value.
Q
P
S
R
PR=
QS=
QT=
PQ=
m2PRS=
mZSTR
m/PSR=
m/QPR =
=
If PQRS is a square & TR= 17, then
PR= 34
QS= 34
QT= 17
PQ= [tex]17\sqrt{2}[/tex]
What is a square?A square in geometry is a two-dimensional plane figure having four equal sides and four equal but 90 degree angles. The characteristics of a rectangle and a square are somewhat comparable, however only the opposite sides of a rectangle are equal. So, only if all four of a rectangle's sides are the same length can it be said to be a square.
A square is a regular quadrilateral with four equal-length sides and four equal-length angles. The square's angles are 90 degrees or at right angles. In addition, the square's diagonals are equally spaced and split at a 90-degree angle. A square is another name for a rectangle with two sides that are opposite and the same length.
The following is a list of a square's most significant characteristics:
The sum of the four inner angles is 90°.The square's four sides are equal to one another or congruent. The square's opposing sides run parallel to one another. The square's diagonals form a 90° angle with one another. The two diagonals of the square are equal to one another. The square is made up of four vertices and four sides. Two identical isosceles triangles are formed by the diagonal of the square. The square has longer diagonals than sides.We know that,
Diagnose of a square are equal in magnitude and bisect each other.
So, In the given figure,
diagonals PR and QS are bisected at T.
RT = PT = 17
Hence,
PR=2RT=2*17=34
PR= 34
QS=34
[tex]QT=\frac{1}{2}QS = \frac{1}{2}*34 = 17[/tex]
QT=17
PQ = side of square
Let PQ= QR= a
In ΔPQR
[tex]PQ^{2} + QR^{2} = PR^{2}[/tex]
[tex]PQ^{2}+ PQ^{2} = 34^{2}[/tex]
[tex]2PQ^{2} = 34*34[/tex]
[tex]PQ = \sqrt{17*34} = 17\sqrt{2}[/tex]
PQ = [tex]17\sqrt{2}[/tex]
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ASAP PLEASE HELP IF RIGHT ANSWER WILL GIVE BRAINLIEST, 15 POINTS, AND 5 STAR OVERALL!!!! IF WRONG ANSWER OR INVALID WILL REPORT, PLEASE, PLEASE, PLEASE!!
Answer:
y = - x + 8
Step-by-step explanation:
y = - x + 8
Order the numbers from least to greatest.
Find the y-intercept from the
following linear equation:
-2x + 8y = -32
Answer:
(0, -4)
Step-by-step explanation:
hope this helps!!! :))
Which expression is equivalent to (5x−5y3)−2? −25x10y6 negative quantity 25 times x raised to the tenth power end quantity over y raised to the sixth power x raised to the tenth power over quantity 25 times y raised to the sixth power end quantity 1 over quantity 25 times x raised to the tenth power times y raised to the sixth power end quantity
Using the rules of exponents, the expression (5 x^−5 y^3)^−2 is equivalent to x^10 / (25 y^6) or "x raised to the tenth power over quantity 25 times y raised to the sixth power end quantity".
Given: (5 x^−5 y^3)^−2
1. Distribute the power of two using the Power of a Power Rule. "When a power is raised to another power, multiply the exponents."
5^−2 x^(−5)(−2) y^(3)(−2) = 5^−2 x^10 y^-6
2. Use Negative Rule of Exponent. "A number with a negative exponent should be put to the denominator, and vice versa."
5^−2 x^10 y^-6 = (x^10) / (5^2 y^6)
3. Simplify the constant term.
(x^10) / (5^2 y^6) = x^10 / 25 y^6
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Which multiple choice response is true?
O Decreasing on (-*, 0); increasing on (0, *)
O Increasing on (-x, ∞)
O , Increasing on (-*, 0); decreasing on (0, *)
O Decreasing on (-∞, ∞)
True response is that the function represented by the graph is Increasing on (-∞, 0) and decreasing on (0, ∞)
A function is said to be increasing in its domains if the value of its range is increasing in that domain.
Similarly, if the function is decreasing in its domain then it's range must be decreasing with the domain.
When the value of x(domain) is increasing on the left side. The value of y(range) is increasing constantly. But when the value of x increases further after 0, then the value of y is decreasing constantly.
So we can say, the following function represented on the graph is increasing in the interval of ( -∞,0) and decreasing in (0,∞).
As per the situation described in the graph the option third which say increasing on (×,0) and decreasing on (0,×).
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Simplify each expression.
ln e²/2
[tex]\frac{ln(e^2)}{2}[/tex] = 1, by properties of logarithm.
What is Logarithm?The opposite of exponentiation is the logarithm.This indicates that the exponent to which a fixed number, base b, must be raised in order to obtain a specific number x, is represented by the logarithm of that number.A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459.
Given: [tex]\frac{ln(e^2)}{2}[/tex]
Now,
By property of logarithm, [tex]log_b(a)^m=m(log_b(a))[/tex],=> [tex]\frac{ln(e^2)}{2}[/tex] = [tex]\frac{2 (ln(e))}{2}[/tex]
=> [tex]\frac{ln(e^2)}{2}[/tex] = ln (e)
AS we know that ln (e) = 1 (by properties of logarithm),=> [tex]\frac{ln(e^2)}{2}[/tex] = 1
Hence, [tex]\frac{ln(e^2)}{2}[/tex] = 1, by properties of logarithm.
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find R=x^2/y when
y=3.8x10^5
x=5.9x10^4
The value of the expression R = x^2/y when y = 3.8 x 10^5 and x = 5.9 x 10^4 is 9.2 x 10^3
How to evaluate the expression?The expression is given as
R = x^2/y
Where
y = 3.8 x 10^5
x = 5.9 x 10^4
Substitute y = 3.8 x 10^5 and x = 5.9 x 10^4 in the equation R = x^2/y
So, we have
R = (5.9 x 10^4)^2/3.8 x 10^5
Evaluate the exponent
So, we have
R = 34.81 x 10^8/3.8 x 10^5
Evaluate the quotient
So, we have
R = 9.16052631579 x 10^3
Approximate the above expression
So, we have
R = 9.2 x 10^3
Hence, the value of the expression R = x^2/y when y = 3.8 x 10^5 and x = 5.9 x 10^4 is 9.2 x 10^3
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A recipe for oatmeal cookies calls for 2 cups of flour and 2.5 cups of oats. For each cup of flour, he must also add 1.5 teaspoons of baking powder. If a baker uses 15 cups of oats how many teaspoons of baking powder must he use?
He will use 18 teaspoons of baking powder for the oatmeal recipe
How to calculate the amount of baking flour ?A recipe requires 2 cups of flour and 2.5 cups of oats
For each cup he must add 1.5 teaspoons of baking powder
He uses 15 cups of oats
Each recipe uses 2 cups of flour, the teaspoons of baking powder used in one recipe is
1.5 × 2 = 3
2.5 cups of oats is used for one recipe, he uses 15 cups of oats, this means that the number of recipes is 6 (15/2.5)
Since the number of recipes is 6 and 3 teaspoon of baking powder is used for one recipe, then the number of teaspoons used is
= 6 × 3
= 18
Hence he used 18 teaspoons of baking powder
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For each annual rate of change, find the corresponding growth or decay factor. +12.5 %
The growth factor for the annual rate of change of +12.5 % is 1.125.
A quantity must vary by a specific percentage each time period in order for growth or decay to be exponential.
With the function displayed to the right, you may represent exponential growth or decay.
A(x) = a( 1 + r)ˣ
Where A is the amount after x time periods, a is the initial amount, x is the number of time periods, and r is the rate of change.
Now, we have the annual rate of change as:
r = + 12.5 % = + 12.5 / 100 = + 0.125
From the function A(x) = a( 1 + r)ˣ , the corresponding factor is 1 + r.
So, let B = 1 + r
B = 1 + r
B = 1 + (+ 0.125)
B = 1.125
Now, the value of B is greater than 1 therefore, the corresponding growth factor is 1.125.
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Colin has three rabbits called Fluffy, Mr Flopsy and Hoppy.
Fluffy's weight is 42% of Mr Flopsy's weight and 56% of Hoppy's weight.
If Mr Flopsy weighs 2500 g, how much does Hoppy weigh?
In linear equation, 1875 does Hoppy weight .
What are instances of linear equations?
A linear equation with one variable is one that contains just one variable. It has the formula Ax + B = 0, with A and B being any two real numbers and x being an ambiguous variable with only one possible value. One such linear equation in one variable is 9x + 78 = 18.A = 42b = 56c
a : b : c = 42 : 100 : 75
total Mr Flopsy weights = 2500
then Hoppy weight = 75 = 2400/100 * 75
= 1875
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Identify each function as linear, quadratic, or exponential. Explain your reasoning.
b. y=4(3) x
The function y = 4 (3) x which can also be written as 12 x - y = 0 is a linear function.
We are given the function:
y = 4 (3) x
Multiply 4 and 3, we get that:
y = 12 x
Now, subtract y from both the sides, we get that:
12 x - y = 0
We can see that the degree of each variable is 1 .
So, it will be a linear function.
Therefore, we get that, the function y = 4 (3) x which can also be written as 12 x - y = 0 is a linear function.
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Sophia welcomes the fall with some cycling and walking fun! She cycles for 2 1/5 miles along a cornfield, and then after the break, she walks 3/4 of the distance she cycled. How many miles does she walk?
ANSWER NOW IM TIMED
Group of answer choices
A. 1 13/20
B. 59/20
C. 2.95
D. 2 19/20
Cameron’s friends tells him of another service that has a 15$ joining fee but charges $0.80 per song. At what number of songs does this new service become a less expensive option than Cameron’s current service
Based on Cameron's current music service fees, the number of songs that would make the new service a less expensive option is 101 songs
What number makes the service less expensive?The expression for the new service assuming the number of songs is x is:
= 15 + 0.80x
The expression for Cameron's current service is:
= 0.95x
Equating them gives:
0.95x = 15 + 0.8x
0.95x - 0.8x = 15
0.15x = 15
x = 100 songs
The cost will be the same at 100 songs so the new service would be cheaper at 101 songs.
First part of question:
Cameron pays $0.95 per song with his current music service.
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Find the circumference and area of a circle with radius 7 cm. Express your answer in terms of π.
6π cm; 36π cm2
14π cm; 49π cm2
14π cm; 81π cm2
7π cm; 49π cm2
Answer:
The fourth option
Step-by-step explanation:
Formula to find the area of a circle is [tex]\pi r^{2}[/tex]
[tex]\pi 7^2[/tex]
[tex]49\pi[/tex]
sue wants 1 2 of a rectangular pan of cornbread. dena wants 1 3 of the same pan of cornbread. how should you cut the cornbread so that each girl gets the size portion she wants? solve this problem any way you choose.
Finding LCM for the problem, you should cut the cornbread into 6 parts, Sue will get 3 parts and Dena will get 2 parts.
LCM is referred to as the least common multiple for a set of numbers that can be divided by the same whole number as a result.
At first, we have to find LCM of 2 and 3, which is the denominator of 1/2 and 1/3, and its 6 and we will cut it into 6 pieces.
So, Sue will get 3 pieces from the cornbread ( 3/6 = 1/2 ) and Dena will get 2 pieces from the cornbread ( 2/6 = 1/3 ).
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Find x and show work
Answer:
1.) 3x + 7 = -x - 1
*collect like terms
3x + x = -1 - 7
4x = -8
x = -2
2.) 4x - 3 = 1 - 2x + 5
*collect like terms
4x + 2x = 1 + 5 + 3
6x = 9
x = 9/6
x = 3/2
3. 4x - 2 + x = 2x - 2
*collect like terms
4x + x - 2x = -2 + 2
3x = 0
x = 0/3
x = 0
4.) 3x - 4 + 1 = 5x - 5 - 2x
*collect like terms
3x - 5x + 2x = - 5 + 4 - 1
(this is a tricky one ... sorry I can't figure the answer)
pleas help describe if the triangle is acute, obtuse or right.
Mitchell owes his mom $18. He's been helping
around the house a lot, so his mom decided to
forgive $12 of his debt. How much does he owe
now?
Answer:
Mitchell owes his mom =$18. sum of money his mom reduced =$12.
Step-by-step explanation:
SO IT 6 DOLLARS
Answer: $6
Explanation: $18-$12=$6
Hope this helps!!! have a nice day!
about how much is a hippopotamus eat in a year with 365 days * 88 explain how you found your estimate is the estimate you found in Part B and overestimate or underestimate explain.
Answer:
365 * 88 (^7) = B=10
In the figure below, j Il n. Find the values of y and x.
Answer:
y = 105
x = 31
Step-by-step explanation:
We have y and 75 as consecutive interior angles.
(Consecutive interior angles are are found between the two parallel lines and on the same side of the transversal)
Sum of two consecutive interior angles = 180°
so we have y + 75 = 180
y = 180-75 = 105
So y = 105
y and (3x+12) are opposite angles and are equal
So 3x+12 = y
3x + 12 = 105
3x = 105-12 = 93
x = 93/3 = 31
So x = 31
i need help with matrix equations.
Answer:
[tex]\left[\begin{array}{ccc}-48&-60\\44&30\end{array}\right][/tex]
Step-by-step explanation:
0.5 X + 3A = B implies
X = 2(B-3A)
3A simply means multiplying each cell by 3
[tex]3A = \left[\begin{array}{ccc}12&24\\-33&-3\end{array}\right][/tex]
B-3A is a corresponding cell by cell subtraction
[tex]B-3A = \left[\begin{array}{ccc}-24&-30\\22&15\end{array}\right][/tex]
Finally multiply that by 2, result is at the top.
Simplify each expression. 16¹/₃. 4t/₃
The simplified form is [tex]4 ^{\frac{2+t}{3} }[/tex].
Simplify is to make something less complicated or much less cluttered. An instance of simplification is when you provide an explanation for a difficult math idea in truly smooth phrases for a kid to understand. An example of simplifying is whilst you chop out a whole lot of the activities that were making you busy and careworn. To turn out to be less difficult.
The phrase simplifies the approach to make something simpler to do or understand. So, by lowering or simplifying the fractions approach we make the fraction as simple as viable. We do this by dividing the numerator and the denominator via the biggest range that may divide into each number precisely.
Converting mixed numbers to an improper fraction,
[tex]16^{1/3} . 4^{t/3} \\4^{2/3} .4^{t/3} \\4^{\frac{2+t}{3} }[/tex]
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Find the domain and the range of each function.
y=3 log x
The domain of the function is (0,∞) , {x|x>0}
and the range of the function is (−∞,∞), {y|y ∈ R}
given the function is y = 3 log x
Set the argument in log x greater than 0 to find where the expression is defined.
x > 0
The domain is all values of x that make the expression defined.
Interval Notation:
(0,∞)
Set-Builder Notation:
{x|x>0}
The range is the set of all valid y values. Use the graph to find the range.
Interval Notation:
(−∞,∞)
Set-Builder Notation:
{y|y∈R}
Determine the domain and range.
Domain: (0,∞) , {x|x>0}
Range : (−∞,∞), {y|y ∈ R}
Hence we get the required domain and range of the given function.
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