The expression in the denominator: g∘f(x) = 7/(5x + 40)
To find the composition of functions g∘f, we substitute f(x) into g(x) and simplify.
Given:
f(x) = 5x + 3
g(x) = 7/(x + 37)
To find g∘f, we substitute f(x) into g(x):
g∘f(x) = g(f(x)) = g(5x + 3)
Now we substitute f(x) = 5x + 3 into g(x):
g∘f(x) = g(5x + 3) = 7/((5x + 3) + 37)
Simplifying the expression in the denominator:
g∘f(x) = 7/(5x + 3 + 37) = 7/(5x + 40)
This is the composition of the functions g∘f.
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What will be the rule?
Answer:
Step-by-step explanation:
I haven't done this in a long time so I don't know how you would write this but I will explain it.
For every 6 in puts you will get 1 out put.
also for the blank space on 42 is 7.
Hope this helps!!
In a Healthy Jogging event, a few hundred participants were expected to jog 7 800 000 metres altogether. They had jogged 25 000 metres in the first few minutes. How many thousands must be added to 25 000 to make 7 800 000?
we have to add 7775000 to make 7800000 from 25000 which is calculated by using Substraction method.
Subtraction in mathematics is the process of subtracting one integer from another. In other terms, the result of subtracting two from five is three. After addition, subtraction is usually the second process you learn in math class.Subtraction is the action or procedure of determining the difference between two quantities or figures. The phrase "taking away one number from another" is also used to describe the process of subtracting one number from another.
Distance to be covered altogether= 7800000 m
THE distance has covered= 25000 m.
We can calculate the thousands needs to be added in 25000 to make it 7800000 by using Substraction method:-
7800000-25000= 7775000m
hence, to make 7800000 from 25000 we have to add 7775000.
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Determine why the triangles are congruent. Choose from SSS, SAS, ASA, AAS, and HL. If the
triangles are not congruent type NC. (Use all capitals in your answer)
Answer:
Step-by-step explanation:
Using Units Rates with Fractions Solve each problem. Answer as a mixed number (if possible ). A cookie recipe called for 2(1)/(2) cups of sugar for every ( 2)/(5) cup of flour. If you made a batch of
If you made a batch of cookies using 1 cup of flour, you would need 6 and 1/4 cups of sugar.
To solve this problem, we can set up a unit rate using fractions.
First, let's convert the fraction of sugar to flour. We know that for every 2(1)/(2) cups of sugar, there are (2)/(5) cup of flour.
To find the unit rate, we divide the amount of sugar by the amount of flour.
2(1)/(2) cups of sugar ÷ (2)/(5) cup of flour = (5/2) ÷ (2/5)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
(5/2) ÷ (2/5) = (5/2) * (5/2)
Multiplying across, we get:
(5 * 5) / (2 * 2) = 25/4
Now, let's convert the fraction to a mixed number if possible.
Dividing 25 by 4, we get 6 with a remainder of 1.
Therefore, the final answer is 6 and 1/4.
COMPLETE QUESTION:
Using Units Rates with Fractions Solve each problem. Answer as a mixed number (if possible ). A cookie recipe called for 2(1)/(2) cups of sugar for every ( 2)/(5) cup of flour. If you made a batch of cookies using 1 cup of flour, how many cups of sugar would you need?
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A, b, c, d and e sit on a long bench. C does not sit next to a or e. A and e have three persons sitting between them. Who are sitting at the extreme ends of the bench?.
This problem will be solved using the permutation and combinations. B is sitting at one extreme end of the bench and D is sitting at the other extreme end. According to the given information, we have A, B, C, D, and E sitting on a long bench. C is not sitting next to A or E. A and E have three persons sitting between them. To determine who is sitting at the extreme ends of the bench, we can use the given information.
Since A and E have three persons sitting between them, we can arrange them in the following way:
A _ _ _ E
Now, we know that C does not sit next to A or E. So, C cannot be placed immediately next to A or E. Therefore, the only option is to place C in the middle:
A C _ _ E
Now, we have two spots left, which are B and D. Since B and D are the only ones remaining, they must be placed at the extreme ends of the bench:
B C _ _ D E
Therefore, B is sitting at one extreme end of the bench and D is sitting at the other extreme end.
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Determine the number of possible solutions for a triangle with A= 30 a=20 and b=16
A. 0
B. 1
C. 2
D. 3
which means there are two possible solutions for a triangle with A=30, a=20, and b=16.
To determine the number of possible solutions, we can use the law of sines, which states that a/sin(A) = b/sin(B) = c/sin(C). Rearranging this formula, we get sin(A)/a = sin(B)/b = sin(C)/c.
Using this formula, we can solve for the two possible values of angle B, which will give us the two possible solutions for the triangle.
First, we can solve for sin(B) using sin(A)/a = sin(B)/b. Plugging in the values given, we get sin(B) = (20/16)sin(30) = 0.625. We can use the inverse sine function to find the two possible values of angle B: B = sin^-1(0.625) = 38.7 degrees or B = 180 - sin^-1(0.625) = 141.3 degrees.
Since a triangle cannot have an angle greater than 180 degrees, the second solution is not possible. Therefore, there is only one possible value of angle B, which means there are two possible solutions for the triangle (since the third angle will be 180 - 30 - B = 111.3 degrees in both cases).
The correct answer is C, which means there are two possible solutions for a triangle with A=30, a=20, and b=16.
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What is the square root rule?
The square root function involves the square root symbol √ which is mostly read as "square root of", the rule says that the square root of a number 'x' is a number 'y' such that y² = x.
We know that the square root of a number can be either positive or negative, but while defining the square root function, we restrict its range to be the set of all positive real numbers and hence making all square roots possible to be positive.
If the range for the square root of a number is set to be positive as well as negative it wont be a function that is why there is a restriction to the range of this set allowing only positive real numbers.
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urgent!!! what is 3 × 5/13=
Answer:
\( \frac{15}{13} = 1.1538461538\)
Step-by-step explanation:
\( \frac{3 \times 5}{13} = \frac{15}{13} = 1.1538461538\)
FIRST CORRECT ANSWER WILL GET BRAINLIEST
For the given graph below, what is the slope and the equation?
A)zero, x = 1
B)undefined, x = 1
C)zero, y = 1
D)undefined. y = 1
Answer:
b
Step-by-step explanation:
vertical line through x at one
vertical lines have undefined slopes
can take two points to verify (1,1) (1,2) m= 2-1
1-1
1
0 undefined zero in denominator
what number is in the hunderdths place in 36.57
Answer:
7
Step-by-step explanation:
Answer:
The number in the hundredths place is 7.
Step-by-step explanation:
Counted the decimal places ^
Estimate 36.79 ÷ 29 using compatible numbers.
12
What is the difference between factoring and solving ?
Solving is the process of determining the value or values of the variable that make an equation true, whereas factoring is the process of simplifying an expression
Factoring :- Algebraic equations can be manipulated and simplified using the ideas of factoring and solving, although they serve different functions. The process of factoring involves dividing an algebraic equation into smaller factors. It entails identifying the variables that can be multiplied collectively to produce the initial expression. Factoring can be helpful in detecting roots, solving equations, and simplifying equations.
Solving :- Finding the value or values of a variable that cause an equation to be true is known as solving. It entails fiddling with an equation in order to isolate the variable on one side and simplify the other. The value or values of the variable(s) necessary to make an equation true are known as the solution.
In conclusion, solving is the process of determining the value or values of the variable that make an equation true, whereas factoring is the process of simplifying an expression by breaking it down into simpler factors.
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Classifying quadrilaterals
Mrs. Clark's plant is 4 3/4 inches tall. It is 1 7/8 inches taller than Jimmy's plant.
How tall is Jimmy's plant?
which of the following represents"next integer after the integer A.n B.2n C.n+1 D.n-1
Answer: C) n+1
If n is some integer, then the next one after that is n+1.
Example: Say n = 5, then n+1 = 5+1 = 6.
A rectangular solid with sides a and b, and with a height of 20 cm has a volume of 120 cm³. Find the formula which defines b in terms of a. Why is this formula an indirect proportion? What is the domain of this function? A rectangular solid with sides a and b, and with a height of 20 cm has a volume of 120 cm³. Find the formula which defines b in terms of a. Why is this formula an indirect proportion? What is the domain of this function?
Round 862 liters
to the nearest 10
liters.
Area of sector if its length is 14cm and radius is 10 cm
Answer:Example: find the area of a sector. As established, the only two measurements needed to calculate the area of a sector are its angle and radius. For example, if the angle is 45° and the radius 10 inches, the area is (45 / 360) x 3.14159 x 10 2 = 0.125 x 3.14159 x 100 = 39.27 square inches.
Step-by-step explanation:
Answer:
70 cm²
Step-by-step explanation:
length of arc = 14 cm
r = 10 cm
Here, radius r of an circle and length of the arc (perimeter of the sector) is given. We can find the area of sector by the below mention formula,
\(\boxed{\bf Area \ of \ sector = \dfrac{r}{2}*length \ of \ arc}\)
\(\sf = \dfrac{10}{2}*14\\\\= 10 * 7\\\\= 70 \ cm^2\)
What is the product of -10/12 × -5/7
Answer: 25/42
Step-by-step explanation. hope it helps
Julia has a mask collection consisting of 255 masks she keeps on the wall and 45 she keeps in a display case. What percentage of Julias mask collection does she keep on her wall?
We are told that Julia keeps 255 masks on the wall and 45 on the display case, this means in total the number of masks she has is
\(255+45=300\text{masks}\)The number of masks Julia keeps on the wall is 255 masks; therefore, the percentage of fo masks on the wall is
\(\frac{255}{300}\times100\)\(=85.\text{ }\)Hence, Julia keeps 85% of her mask collection on her wall.
\(\frac{4}{-2} -\frac{3}{-6}\)
The value of the fraction is 3/-2
What is a fraction?A fraction can simply be described as the part of a whole variable, a whole number or a whole element.
The different types of fractions in mathematics are;
Mixed fractionsProper fractionsImproper fractionsComplex fractionsSimple fractionsFrom the information given, we have that;
4/-2 - 3/-6
find the lowest common factor
12 - 3/-6
subtract the value, we get;
9/-6
Divide the values into simpler forms
3/-2
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Find the product of (3 x 107)and (2 x 107). Write the final answer in scientific notation. !!!!!!!!!!!!!!!!!!!
The product of (3 x 107) and (2 x 107) is 6.8694 x 10^4
To find the product of (3 x 107)and (2 x 107), we can use the distributive property of multiplication which states that the product of a number and a sum is equal to the sum of the products of the number and each term in the sum. In this case, we can multiply the numbers outside the parentheses first, and then multiply the result by the common factor of 107 to simplify the expression:
(3 x 107) x (2 x 107) = 6 x (107 x 107)
Next, we can calculate the product of 107 and 107, which is 11,449:
6 x 11,449 = 68,694
In scientific notation, this can be written as:
= 6.8694 x 10^4
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50 POINTS ASAP Polygon D has been dilated to create polygon D′.
Polygon D with top and bottom sides labeled 8 and left and right sides labeled 9.5. Polygon D prime with top and bottom sides labeled 9.6 and left and right sides labeled 11.4.
Determine the scale factor used to create the image.
Scale factor of 1.6
Scale factor of 1.2
Scale factor of 0.9
Scale factor of 0.8
Answer:
1.2
Step-by-step explanation:
based on your description the top sides are corresponding pairs, the bottom sides are corresponding sides, the left sides are corresponding sides, and the right sides are corresponding sides between the 2 polygons.
the dilation (scaling) is happening for all points on the polygon with the same scaling factor.
so, we only need to find the scaling factor f between one of these corresponding pairs.
8×f = 9.6
f = 9.6/8 = 1.2
Answer: The answer is 1.2
Step-by-step explanation:
Just trust me.
$1,500 + $200x ≥ $2,500
Answer: x ≥ $5
Step-by-step explanation:
Given expression
1500 + 200x ≥ 2500
Subtract 1500 on both sides
1500 + 200x - 1500 ≥ 2500 - 1500
200x ≥ 1000
Divide 200 on both sides
200x / 200 ≥ 1000 / 200
\(\boxed{x\geq 5}\)
Hope this helps!! :)
Please let me know if you have any questions
Write an equivalent expression for 8(1/7y - 7)
Answer: 8/7y - 56
Step-by-step explanation: To find the equivalent expression, we multiply 8 by both of the values in the parenthesis.
8 × 1/7y = 8/7y
8 × (-7) = -56
Now to express it as an equation:8/7y - 56 is our final answer.
What is the correct answer to this multiple choice question? Please help!!!
Answer:
By translating the function cos(x) 90 degrees to the right.
Step-by-step explanation:
The sine function is just the cosine function translated 90 degrees to the right. You can see the visualization below. They overlap.
If you're wondering why the diagram shows a shift in
\(\pi / 2\)
That's just the equivalent to 90 degrees in radians.
PLz Welp.............................
9514 1404 393
Answer:
No
Step-by-step explanation:
If the relationship were proportional, the ratio of y to x would be a constant.
y/x = 3/1 ≠ 7/3
x and y are not proportional.
You are given a sample of metal and asked to determine its specific heat. You weigh the sample and find that its weight is $28.4 \mathrm{~N}$. You carefully add $1.25 \times 10^4 \mathrm{~J}$ of heat energy to the sample and find that its temperature rises $18.0 \mathrm{C}^{\circ}$. What is the sample's specific heat?
The specific heat of the given sample is approximately 239.6 J/(kg·°C). This value indicates the amount of heat energy required to raise the temperature of 1 kilogram of the sample by 1 degree Celsius.
To determine the specific heat of the given sample, we can use the formula Q = mcΔT, where Q is the heat energy added, m is the mass of the sample, c is the specific heat, and ΔT is the change in temperature. By rearranging the formula, we can solve for c.
In this case, we are given the heat energy Q = 1.25 × 10^4 J, the mass m = 28.4 N (weight in newtons), and the change in temperature ΔT = 18.0 °C. To calculate the specific heat c, we rearrange the formula Q = mcΔT and solve for c.
First, we convert the weight from newtons to kilograms by dividing it by the acceleration due to gravity (9.8 m/s^2). So, the mass of the sample in kilograms is 28.4 N / 9.8 m/s^2 = 2.90 kg.
Substituting the given values into the formula, we have 1.25 × 10^4 J = c × 2.90 kg × 18.0 °C. Now, we can solve for c by dividing both sides of the equation by (2.90 kg × 18.0 °C):
c = (1.25 × 10^4 J) / (2.90 kg × 18.0 °C) ≈ 239.6 J/(kg·°C).
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25h + 40 = −15h − 80
Answer:
h= -3Step-by-step explanation:
25h + 40 = −15h − 80
25h + 15h = -80 - 40
40h = - 120
h = -120/4
h= -3
Answer:
h = -3
Step-by-step explanation:
25h +40 = -15h -80
-----------------------------
40h = -120
h= -3
in a bean bag toss game players earn 2 points for each beanbag that lands on the game board and 5 points for each bean bag that lands in the hole. roopesh wants to know his total score after throwing 4 bean bags.
which expressions show the points roopesh earns if two beanbags land on the board? choose all that apply
2+5
2•2
2•5
2+2
Answer:2•2 and 2+2
Step-by-step explanation:
Because if you have 2 bean bags and 2 point for each bean bad it u have to multiply of add
The expression will be either (2+2) or (2*2).
What are expression?An algebraic expression consists of unknown variables, numbers and arithmetic operators.
Given that, in a bean bag toss game, players earn 2 points for each beanbag that lands on the game board and 5 points for each bean bag that lands in the hole.
Roopesh's dropped the bag on land for two times, and points for bag landing is 2, therefore, his score will be 2*2 or 2+2
Hence, The expression will be either (2+2) or (2*2).
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