Write an expression to represent:
3
33 minus the product of
2
22 and
�
xx.

Therefore , the solution of the given problem of function comes out to be g(x) = ƒ(2x + 3) = f'(-5) = 1.

Mathematics includes the study of numbers, various variations, the natural reality, architecture, and both actual and hypothetical locations. A function is a visual representation of the relationship variable between the number of inputs and the corresponding outputs for each. Simply explained, a function is a collection of inputs that, whenever combined, result in a different output by each input. Every function is assigned a city, county, or scope, sometimes known as a domain. The letter f is frequently used to denote functions (x).

Here,

Given :

=> f(−4) = −2

=> ƒ'(−4) = 6

=> f(-5) = −4

=> f'(-5) = 1

To find :

=> g(x) = ƒ(2x + 3)

=> g(4) = f(2(-4) + 3)

=> g(4) = f(-5)

=> f(-5) = -4

=> f'(-5) = 1

Therefore , the solution of the given problem of function comes out to be g(x) = ƒ(2x + 3) = f'(-5) = 1.

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Answer: Let's call the number of gallons of regular gas sold "x". Then, the number of gallons of premium gas sold would be 300 - x.

The total revenue from regular gas would be 2.15 * x dollars. The total revenue from premium gas would be 2.90 * (300 - x) dollars.

We know that the total receipts for the day were $690, so we can set up the following equation:

2.15x + 2.90(300 - x) = 690

Expanding the second term, we get:

2.15x + 870 - 2.90x = 690

Combining like terms, we get:

0.25x = -180

Dividing both sides by 0.25, we get:

x = 720

So, 720 gallons of regular gas and 300 - 720 = -420 gallons of premium gas were sold. However, since it is not possible to sell a negative number of gallons of gas, this solution is not valid.

If we try another value of x that is less than 300, we will find a valid solution. Let's try x = 200:

2.15 * 200 + 2.90 * (300 - 200) = 690

Expanding and simplifying, we get:

430 + 90 = 520

So, 200 gallons of regular gas and 300 - 200 = 100 gallons of premium gas were sold.

Step-by-step explanation:

The greatest number of boxes is 4

From the question, we have the following parameters that can be used in our computation:

88 books and 76 DVDs

To do this, we simply calculate the GCF

So, we have the following representation

88 = 2^2 * 11

76 = 2^2 * 19

This gives

GCF = 2^2

GCF = 4

The greatest number of boxes he could have used is 4 boxes.

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the easiest way is to divide, 8068÷31, since it's a big problem, you should use a calculator! When you do, you should get 260.258065, but once you round all the decimals you just get 260, your remainder should be 8. Use 8 as your numerator and 260 as your mixed number! And your finished, and that's why the answer is 260 8/31.

The value of x is 9 ,  

The measure of each side of the equilateral i.e QR , RS , QS is 35

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes.

Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a singular triangle and a singular plane.

Given as :

Triangle QRS is an equilateral triangle  

The side of the triangles are, QR , RS, QS

Now, According to the question

QR = 2 x + 17

RS  = 6 x - 19

QS = 4 x - 1

If the Triangle is equilateral, then all sides are equal

So , QR = RS = QS

Or, 2 x + 17 = 6 x - 19 = 4 x - 1

Now, 2 x + 17 = 6 x - 19

So, 17 + 19 = 6 x - 2 x

Or, 36 = 4 x

x =

I.e x = 9

So, the measure of side QR = 2 x + 17 = 2 × 9 + 17

Or, the measure of side QR = 35

The measure of side RS  = 6 x - 19 = 6 × 9 - 19

Or, The measure of side RS = 35

The measure of side QS =  4 x - 1 = 4 × 9 - 1

Or , The measure of side QS = 35

Hence the value of x is 9,  

And the measure of each side of the equilateral i.e QR , RS, QS is 35  . Answer

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Answer:

Step-by-step explanation:

241 is divisible by 3

Answer:Commutative property of multiplication

Step-by-step explanation:

Commutative property of multiplication

The definition of the absolute value function for this problem is given as follows:

y = |x - 4| - 2.

The absolute value function of vertex at coordinates (h,k) is defined as follows:

y = a|x - h| + k.

From the graph, the coordinates of the vertex are given as follows:

(4,-2).

Hence the equation is given as follows:

y = a|x - 4| - 2.

When x changes by one, y also changes by one, hence the coefficient a is given as follows:

a = 1.

Thus the function is defined as follows:

y = |x - 4| - 2.

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The required volume of figure 1 is given as 55 ft³, and the volume of all the figures is evaluated by following the same procedure.

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

Here,
Volume  = 1/3 area of base × height - - - - -(1)

(1)
Area of base = area of triangle = 1/2 × base × height

Area of base = 1/2 × 5 * 6 = 15
Put this value in equation 1
Volume =  1 /3 ×15 × 11
Volume = 55 ft³

Similarly, the volume of each figure can be evaluated.

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The system of equations is solved and the value of x = 5

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first equation be represented as A

Now , the value of A is

3x + y = 13   be equation (1)

Let the second equation be represented as B

Now , the value of B is

2x - 4y = 18   be equation (2)

Multiply equation (1) by 4 , we get

12x + 4y = 52   be equation (3)

Adding equation (2) and equation (3) , we get

14x = 70

Divide by 14 on both sides of the equation , we get

x = 70/14

x = 5

Substitute the value of x in equation (1) , we get

15 + y = 13

Subtracting 15 on both sides of the equation , we get

y = -2

Hence , the value of x and y is 5 and -2 respectively

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Answer:

Step-by-step explanation:

i do 6th grade aleks too!

The shaded area is 157.1 square cm

From the question, we have the following parameters that can be used in our computation:

Diameter = 10 cm

So, the area of the small semicircles is

Area = 1/2π(d/2)²

This gives

Area = 1/2π(10/2)²

Evaluate

Area = 25/2π

For the big semicircle, we have

Area = 1/2π(D/2)²

Area = 1/2π(20/2)²

So, we have

Area = 50π

i.e.

Area =50 * 3.142 = 157.1

This represents the shaded area because the small semicircles cancel out

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The length of side p of the triangle rounded to the nearest tenth is 7.5.

The cosine rule relates the lengths of the sides of a triangle to the cosine of one of its angles.

It is expressed as;

p = √( n² + m² - ( 2nm × cosθ ) )

Given the figure in the diagram;

Plug the values into the above formula and simplify.

p = √( n² + m² - ( 2nm × cosθ ) )

p = √( (11)² + (13)² - ( 2 × 11 × 13 × cos( 35 ) ) )

p = √( 121 + 169 - ( 286 × cos( 35 ) ) )

p = √( 290 - ( 286 × cos( 35 ) ) )

p = √( 290 - 234.27748  )

p = √( 290 - 234.27748  )

p = √55.72252

p = 7.5

Therefore, the value of p is 7.5.

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Answer:

The function f(x) to model U. S. cell phone usage over the time period of 2010 to 2016 can be expressed as f(x) = 43 * (1.23^x), where x is the number of years since 2010. Part b: The estimated cell phone usage in 2013 can be calculated by substituting x = 3 into the function f(x) = 43 * (1.23^x). This yields an estimated cell phone usage of 68.4 million in 2013, which can be rounded to the nearest ten thousand to 68 million.

Step-by-step explanation:

61.025 meters is the maximum height obtained by the baseball

A relation is a function if it has only One y-value for each x-value.

The length of time and the maximum height can be found by finding the vertex of the parabola.

h(t) = -4.9t² + 34.3t + 1

x = -b/2a

t = -34.3/-9.8

t=3.5

Now plug in t value in the function

h(3.5)= -4.9(3.5)² + 34.3(3.5)+ 1

=-4.9(12.25)+120.05+1

=-60.025+120.05+1

=61.025 meters

Hence, 61.025 meters is the maximum height obtained by the baseball

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Answer:

MN = 7x + 3

Step-by-step explanation:

Because MN connects the midpoints M and N  of AD and BC respectively

MN is the midsegment of trapezoid ABCD , then

MN = [tex]\frac{AB+DC}{2}[/tex]

AB + DC = 6x + 7 + 8x - 1 = 14x + 6

MN = [tex]\frac{14x+6}{2}[/tex] = [tex]\frac{14x}{2}[/tex] + [tex]\frac{6}{2}[/tex] = 7x + 3

(a) The maximum number of snack bags he could make,

= 18 snack bags.

(b) 18 juice boxes.

(c) 18 cookies in each bag.

The greatest number that can divide the numbers in equal parts.

It is called as greatest common factor.

Given:

Brady is making snack bags with 18 juice boxes and 27 cookies.

He wants each bag to have the same number of juice boxes and the same number of cookies.

(a) The maximum number of snack bags he could make,

= GCF(18, 27)

= 18 snack bags.

(b) 18 juice boxes.

(c) 18 cookies in each bag.

Therefore, all the required values are given above.

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Some of the common forms of help include:

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Answer:

Step-by-step explanation:

Wow, that is a lot. You got to give me a brainliest ! Lol

1) 9²+12²=x², x=15

2)10²+24²=x², x=26

3)3²+7²=x², x=7.6

4)6²+x²=10², x=8

5)x²+6²=24², x=23.2

6)1²+1²=x², x=1.4

7)x²+8²=21², x=19.4

8)x²+24²=30², x=18

9)5²+9²=x², x=10.3

Answer:

36 m

Step-by-step explanation:

It says to use a graph so here is one with the height shown as  36 m

Answer: 3

Step-by-step explanation:

The simplification of (23+16) is 39

Addition is one of the four basic operations of arithmetic, the other three being subtraction, multiplication and division. The addition of two whole numbers results in the total amount or sum of those values combined.

For example of there are 20 mangoes. 50 cashews and 80 oranges in a store. The total number of fruits the store can be obtained by adding the number of oranges, mangoes and cashew.

This means that 80+20+50 = 150 fruits

Similarly to get the value of( 23+16) , we add the two numbers together

23+16 = 39

therefore the value of 23+16 = 39

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C: Yes the area can be found by multiplying the 4 and 7 and then dividing the product by two.

Answer:

Option B) A and C

Step-by-step explanation:

The function g(x) is equal to g(x) = 3x².

Given is functions f(x) and g(x) are shown on the graph and f(x) = x².

The function g(x) is equivalent to 3 times function f(x) for every value of {x}. So, we can write - g(x) = 3x²

Therefore, the function g(x) is equal to g(x) = 3x².

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The probability of ordering meat is 0.7 and the probability of ordering fish is 0.3.

P(+ | M) = 0.8 and P(- | M) = 0.2,

P(+ | F) = 0.95 and   P(- | F)  = 0.05.

P(M and +) = 0.56 and P(M and -) = 0.14,

P(F and +) = 0.285 and P(F and -) = 0.015.

C: the probability that the customer ordered fish is 0.3.

Probability is a way to gauge how likely something is to happen. According to the probability formula, the likelihood that an event will occur is equal to the proportion of positive outcomes to all outcomes. The probability that an event will occur P(E) is equal to the ratio of favorable outcomes to total outcomes.

Given The Humber, Room advertises two types of entrée, meat and fish,

70% of all customers order meat, and 30% order fish,

M represents the event of ordering meat, F is the event of ordering fish,

probability of M and F,

p(M) = 70% = 0.7

p(F) = 30% = 0.3

and 80% of those who ordered meat and 95% of those who ordered fish were satisfied,

+ is the event of being satisfied, and − is the event of not being satisfied,

probability of satisfied customers with meat,

p(+) = 80% = 0.8

not satisfied with meat,

p(-) = 1 - 0.8 = 0.2

probability of satisfied customers with fish,

p(+) = 95% = 0.95

not satisfied with fish,

p(-) = 1 - 0.95 = 0.05

B: calculating the joint probabilities,

P (M and +) = P(M ∩ +) = p(M)*p(+)

P (M and +) = 0.7*0.8

P (M and +) = 0.56

P (M and -) = P(M ∩ -) = p(M)*p(-)

P (M and -) = 0.7*0.2 = 0.14

P (F and +) = P(F ∩ +) = p(F)*p(+)

P (F and +) = 0.3*0.95

P (F and +) = 0.285

P (F and -) = P(F ∩ -) = p(F)*p(-)

P (F and -) = 0.3*0.05

P (F and -) = 0.015

C:  Determine the conditional probabilities,

P (+ | M) = P(M ∩ +)/p(M)

substitute the values

P (+ | M) = 0.56/0.7

P (+ | M) = 0.8

P (- | M) = P(M ∩ -) /p(M)

P (- | M) = 0.14/0.7

P (- | M) = 0.2

P (+ | F) = P(F ∩ +)/p(F)

substitute the values

P (+ | F) = 0.285/0.3

P (+ | F) = 0.95

P(- | F) = P(F ∩ -)/p(F)

P(- | F) = 0.015/0.3

P(- | F)  = 0.05

D: If a randomly selected customer was satisfied with his/her meal, what is the probability that the customer ordered fish,

to find P (F | +) = P(F ∩ +)/p(+)

substitute the values

P(F | +) = 0.285/0.95

P (F | +) = 0.3

Hence the probabilities are as followed.

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Answer: [tex]230[/tex]

Step-by-step explanation:

To find coterminal angles, add/subtract integer multiples of [tex]360^{\circ}[/tex].

[tex]-490^{\circ}+360^{\circ}=-130^{\circ}\\\\-130^{\circ}+360^{\circ}=230^{\circ}[/tex]

An angle θ that is coterminal with −490∘ and lies between 0∘ and 360∘ is 130∘.

To find an angle θ that is coterminal with −490∘ and lies between 0∘ and 360∘, we can use the concept of coterminal angles.

Coterminal angles are angles that have the same initial and terminal sides when drawn in standard position. To find a positive coterminal angle with a negative angle, we can add 360 degrees to the negative angle until we get an angle within the desired range (0∘ to 360∘).

Let's find the positive coterminal angle:

θ = -490∘ + 360∘

θ = -130∘

So, an angle θ that is coterminal with −490∘ and lies between 0∘ and 360∘ is 130∘.

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Therefore , the solution of the given problem of arithmetic mean comes out to be  the given sequence is geometric sequence..

The arithmetic average, also referred to as the group's means, is obtained by adding up all the values in a list and multiplying that amount by the total number of list items. Math also has a similar trend of progression. The following equation shows that the median of the actual figures 5, 8, and 9 is 3, while the mean of the actual figures 5, 7, and 9 is 4, and the number 21 multiplied by three (there are now multiple three numbers) equals 7.

Here,

Given :

Sequence = 1, 4,25,125,625

Thus,

from the sequence we can see it is an geometric sequence not an arithmetic sequence.

r = 5/1 = 5

=> 1 ,5 ,5(5) , 5(5)² , 5(5)³

So,

it is an geometric sequence.

Therefore , the solution of the given problem of arithmetic mean comes out to be  the given sequence is geometric sequence..

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Answer:

It isn't measured, but it gives you a ruff representation of what the subject looks like.

Step-by-step explanation:

Answer:

Initial value=50

Rate of change=12.5

Step-by-step explanation:

The rate of change is just the slope.

Initial value is y-intercept.