Step-by-step explanation:
Substitution.
During composition, you substitute the function for x of g(x).
The composition of functions is the operation of option B: substitution.
What is functionsIn mathematics, a function is a rule that assigns each element from one set (the domain) to a unique element in another set (the range). When one talk about function composition, we are referring to the process of combining two functions to create a new function.
When we compose two functions, one use the result of one function as the input for another function. This means putting the value you got from the first function into the second function to get the final answer.
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how to get the area of the base ?
Answer:
LxWxH
Step-by-step explanation:
Please help brainliest who answer's first and correct
Answer:
just start at like 220 i am pretty sure
Step-by-step explanation:
Omar wants to measure the width of a river. He marks off two right triangles, as shown in the figure. The base of the larger triangle has a
length of 64 m, and the base of the smaller triangle has a length of 31 m. The height of the smaller triangle is 19.8 m. How wide is the
river? Round your answer to the nearest meter. (The figure is not drawn to scale.)
19.8 m
River
A
31 m
64 m
?
A
m
X
Ś
Answer:
41 meters
Step-by-step explanation:
\(\frac{31}{64}\) = \(\frac{19.8}{x}\)
31x = (19.8)(64)
31x = 1267.2 Divide both sides by 31 and round
x = 41
Need help ASAP thank you
Answer:
7 pairs of socks
Step-by-step explanation:
4.5x + 80 \(\leq\) 115
4.5x \(\leq\) 35
dividing 35 by 4.5 gives us 7.78, making 7 our greatest whole number, representing the maximum number of socks that Munir can buy.
I have already answered number 3 on your other question.
PLEASE HELP I'LL GIVE 30 POINTS
Marco has a piece of wood that measures 9x1/10+6x1/100+4x1/1000. How can this measurement b written as a decimal
The sum of the values is referred to as the operands, arguments, or inputs, while the result is referred to as the value, output, or result. Operations may require less than two inputs or more (including the case of zero input and infinitely many inputs). The answer will be 0.9+0.06+0.004= 0.964
What are mathematical operations?Not all possible values of the domain may be covered by an operation's definition. For instance, it is impossible to square the roots of negative integers or divide by zero in real numbers. An operation's domain of definition, also known as the active domain, is the set of values for which the operation is specified. The set that the values created are contained in is known as the codomain, while the set that the operation really produced is known as the codomain of definition, active codomain, image, or range. For instance, only non-negative numbers are produced by the squaring operation when applied to the real numbers; the set of real numbers is the codomain, but the non-negative numbers are the range.
A scalar can be multiplied by a vector to create another vector (a process known as scalar multiplication), and two vectors can be combined to make a scalar quantity in an inner product operation. An operation may or may not have specific characteristics, such as being idempotent, associative, commutative, or anticommutative.
The sum of the values is referred to as the operands, arguments, or inputs, while the result is referred to as the value, output, or result. Operations may require less than two inputs or more (including the case of zero input and infinitely many inputs).
9x1/10+6x1/100+4x1/1000
0.9+0.06+0.004= 0.964
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Two identical gardens are to be weeded, each by a two-person team. Team A includes one gardener who could weed the garden in 2 h and another who could weed the garden in 4 h. Team B includes two gardeners, either of whom could weed the garden in 3 h. Which team will finish first? Explain.
Step-by-step explanation:
Team A time is 1 garden / ( 1 garden/ 2 hr + 1 garden/4 hr) = 1 1/3 hr
Team B = 1 / ( 1/3 + 1/3) = 1 1/2 hr
Team A wins !
solve by graphing y = 5/3x - 4
y = -1/3x +2
By graphing, the solution to the system is: (3, 1).
How to Solve a System of Equations by Graphing?To solve a system of equations by graphing, you can use the following steps:
Write the equations in slope-intercept form (y = mx + b) or standard form (ax + by = c).Plot the two lines on the same coordinate plane by finding at least two points that satisfy each equation.Determine the point of intersection of the two lines. This is the solution of the system.Given the system, y = 5/3x - 4 and y = -1/3x +2, by graphing as shown in the image below, their lines intersect at (3, 1). The solution is: (3, 1).
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Compare the following values by correctly placing them on the number line.
0
010
0.875
50%
16
1. Identify which discount saves the buyer more money? a) 10% then 35% off the sales b) 20% then 25% off the sales price? c) 45% discount Answer ОА
The discount of 45% saves the buyer the most money.
A dollar amount or a percentage deducted from an item's typical selling price is referred to as a discount.
let us check each discount one by one
a)Let the initial cost be 100
10% then 35%
=10% of 100
=10
New cost = 100 - 10 = 90
35% of 90 = 31.5
Final cost = 90-31.5 = 58.5
b)Let the initial cost be 100
20% then 25%
=25% of 100
=25
New cost = 100 - 25=75
25% of 75= 18.75
Final cost = 75-18.75 = 56.25
b)Let the initial cost be 100
45% discount
=45% of 100
=45
New cost = 100 - 45=55
Before waiting until after the holiday to make a purchase, make sure you actually need all of the things you intend to buy. A reduction in the price of a good or service is known as a discount.
hence the discount of 45% saves the buyer the most money.
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Suppose that 45% of people have dogs. If two people are randomly chosen, what is the probability that they both have a dog
Answer:
\(P(Dogs) = 0.2025\)
Step-by-step explanation:
Given
\(Proportion, p = 45\%\)
Required
Probability of two people having dog
First, we have to convert the given parameter to decimal
\(p = \frac{45}{100}\)
\(p = 0.45\)
Let P(Dogs) represent the required probability;
This is calculated as thus;
P(Dogs) = Probability of first person having a dog * Probability of second person having a dog
\(P(Dogs) = p * p\)
\(P(Dogs) = 0.45 * 0.45\)
\(P(Dogs) = 0.45^2\)
\(P(Dogs) = 0.2025\)
Hence, the probability of 2 people having a dog is \(P(Dogs) = 0.2025\)
3. Approximate square root v15
Answer:
4Step-by-step explanation:
\(\sqrt{15}\\=3.87298\dots \\\\= 4\)
Your total monthly bill (T
) from the Electric and Gas Company depends on how much electricity and how much gas you use each month. For every kilowatt hour of electricity (k
) you use, you are charged $0.25
and for each therm (t
) of gas used you are charged $0.97
.
Which of the following equations represents the relationship between electricity and gas used and your bill?
The equation representing the relationship between Electricity and Gas used, and your Bill is:
T = 0.25 * k + 0.97 * t
Step-by-step explanation:
Make a plan:
We need to find the equation that represents the relationship between the total monthly bill (T), The Kilowatt Hours of Electricity used (k), and the Terms of Gas used (t).
T = 0.25 * k + 0.97 * t
Solve the problem:
1 - Write the Equation for the cost of Electricity:
0.25 * k
2 - Write the Equation for the Cost of Gas:
0.97 * t
3 - Combine the Equations to Represent the total Monthly Bill (T):
T = 0.25 * k + 0.97 * t
Draw the Conclusion:Hence, The equation representing the relationship between Electricity and Gas used, and your Bill is:
T = 0.25 * k + 0.97 * t
I hope that helps!
Given the table below, what is the x-intercept of the linear function?
Answer:
-6
Step-by-step explanation:
1 ft. 3 in. Is what part of 1 yd? I need this please I don’t get how to solve it
In ΔFGH, h = 840 inches, � m∠F=93° and � m∠G=49°. Find the length of g, to the nearest 10th of an inch.
Here are the amounts of money (cents) in coins carried by 10 students in a statistics class:
50350977600872365
To make a stemplot of these data, you would use stems
A. 0, 1,2,3, 4, 5, 6,7,8, 9.
B. 00, 10, 20, 30, 40, 50, 60, 70, 80, 90.
C.0, 2, 3, 5, 6, 7, 8, 9.
D. None of the above.
The stems are 0, 2, 3, 5, 6, 7, 8, 9. Therefore, option C is the correct answer.
Given that, here are the amounts of money (cents) in coins carried by 10 students in a statistics class: 50, 35, 0, 97, 76, 0, 0, 87, 23, 65.
We have to plot a stemplot for this data.
What are stem plots?A stem and leaf plot also called a stem and leaf diagram is a way of organizing data into a form that makes it easy to observe the frequency of different types of values. It is a graph that shows numerical data arranged in order. Each data value is broken into a stem and a leaf.
A stem and leaf plot is represented in form of a special table where each first digit or digit of data value is split into a stem and the last digit of data in a leaf. This " | " symbol is used to show stem values and leaf values and it is called as stem and leaf plot key.
Now, 0, 0, 0, 23, 35, 50, 65, 76, 87, 97.
As the stem and leaf plot definition states,
2 I 3 ⇒ 2 on the stem and 3 on the leaf read as 23.
3 I 5 ⇒ 3 on the stem and 5 on the leaf read as 35.
5 I 0 ⇒ 5 on the stem and 0 on the leaf read as 50.
6 I 5 ⇒ 6 on the stem and 5 on the leaf read as 65.
7 I 6 ⇒ 7 on the stem and 6 on the leaf read as 76.
8 I 7 ⇒ 8 on the stem and 7 on the leaf read as 87.
9 I 7 ⇒ 9 on the stem and 7 on the leaf read as 97.
The stems are 0, 2, 3, 5, 6, 7, 8, 9. Therefore, option C is the correct answer.
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Which shows one way to determine the factors of x3 - 12x7 - 2x + 24 by grouping?
The factored form of the polynomial x^3 - 12x^2 - 2x + 24 by grouping is (x - 12)(x^2 - 2).
To determine the factors of the polynomial x^3 - 12x^2 - 2x + 24 by grouping, we can follow these steps:
Step 1: Group the terms in pairs. In this case, we can pair the first two terms and the last two terms:
(x^3 - 12x^2) + (-2x + 24)
Step 2: Factor out the greatest common factor from each pair. From the first pair, we can factor out x^2, and from the second pair, we can factor out -2:
x^2(x - 12) - 2(x - 12)
Step 3: Notice that we now have a common binomial factor of (x - 12) in both terms. Factor out this common binomial factor:
(x - 12)(x^2 - 2)
Therefore, the factored form of the polynomial x^3 - 12x^2 - 2x + 24 by grouping is (x - 12)(x^2 - 2).
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reflect the figure over the line y= -2x - 1
The reflection of the figure over y = -2x - 1 is attached accordingly.
What is reflection in math?A reflection in mathematics is a mapping from a Euclidean space to itself that is an isometry with a hyperplane as a fixed point set; this set is known as the axis or plane of reflection.
Because the line of reflection has a slope of -1/2, each image point will be on a line with a slope of 2 that passes through the associated pre-image point.
It might be simplest to count the grid squares between the pre-image point and the line, then from the line to the image point's location. Those measurements will be the same.
The second attachment shows the mirrored image.
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Harry places a ladder against his house to fix the roof, leaving 5 feet between the edge of the house and the ladder. The roof is 18 feet off the ground. Using the Triangle Inequality Theorem, determine the range of heights his ladder should have.
Using the Triangle Inequality Theorem, the range of heights his ladder should have would be greater than or = 23 feet.
What is Triangle Inequality Theorem?The Triangle Inequality Theorem states that the sum of any two sides of a triangle is greater than or equal to the third side.
That is c >/= a + b
a = 5 feet
b = 18 feet
C >/ = 5+18 = 23 feet
Therefore, the range of heights his ladder should have would be greater than or = 23 feet.
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Find the value of p.
-25 = -4p + 19
Answer:
9.75
Step-by-step explanation:
-25 = -4p + 19
-25 - 19 = -4p
-39 ÷ -4 = p
9.75 = p
Five more than Bob’s age is 23. How old is Bob? equation
Answer:
18 Years OldStep-by-step explanation:
23 - 5 = 18 Years Old
Hope this helps! <3
Answer:
18 yeara old
Step-by-step explanation:
let Bob's age be 'x'
5 more than Bob's age means
5+x ...is 23
Therefore, 5+x=23
x= 23-5
18
Bob is 18 years old.
Hope it helped.
Find the distance between the two points rounding to the nearest tenth
(-4, 2) and (3, 5)
Answer:
-8.66666666666666666666666666666666666
-9
Step-by-step explanation:
Distance - rate and time formula
A circle has 1500 chords drawn in it so that the maximum number of non-overlapping regions is obtained. Find the difference between the number of points of intersection of the chords and the number of polygons formed by the chords inside the circle.
The difference between the number of points and the number of polygons formed by the chords inside the circle is: Number of points of intersection has two end point while number of polygons formed by the chords inside the circle has the same area.
Points of intersectionGiven;
Circle chords=1500
Since the circle has 1500 chords which means that the number of chords is 1500, now we have to multiply the number of chords by 2 end point so as to determine the number of end points
Number of chords=1500
Number of end points=1500×2
Number of end points=3,000
Therefore based on the above we can see that number of points of intersection has two end point while on the other hand number of polygons formed by the chords inside the circle has the same area.
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Answer as much as possible thanks :)
Step-by-step explanation:
Ans no.1
-2(y-4)
= -2y+4
=4-2y
Ans no.2
a=4 and b=6
6a+3b²
=6*4+3*6²
=24+108
=132
Ans no.3
65%of 180
= 65/100*180
=1170
Ans no.4
The absolute number is 7 because it is 7unit away from zero.
Ans no.5
The area of triangle= 1/2*base*height
=1/2*6*7
=21.
answer:
number 5. 21 in²2/3 x 1/7 =
Need help not sure if I got it right
\( \frac{2}{3} \times \frac{1}{7} = \frac{2}{21} \)
\(hopefully \: it \: helps \\ have \: a \: nice \: day \: ahead\)
e
B
0
14. The table shows the number of inches of
rain over five months. What would be an
appropriate display of the data? Explain.
(Lesson 2)
Month
Number
of Inches
of Rain
Jan. Feb. Mar.
1.5
2.2
3.6
Apr.
5.3
May
4.8
The graph of the given function is attached.
Given is a function for the rainfall in 5 months in inches.
We need to display the data,
So, as we can see that the data is not showing any proportion or pattern,
So, it can be displayed as a line chart.
Hence the chart is attached for the function.
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what is the difference between a open and closed circle
In an inequality
If you have
x >3
the solution is all real numbers greater than 3 (3, infinite)
NOTE that the number 3 is not included in the solution
that means ----> is an open circle at x=3
x≥3
the solution is all real numbers greater than or equal to 3 [3, infinite)
NOTE that the number 3 is included in the solution
that means ----> closed circle at x=3
we have the inequality
x + 19> 31
solve for x
x > 31-19
x > 12
the solution is the interval (12, infinite)
All real numbers greater than 12
In a number line, the solution is the shaded area at the right of x=12 (open circle)
see the figure below
In the diagram below, the line of sight from the park ranger station, P, to the lifeguard chair, L, on the beach of a lake is perpendicular to the path joining the campground, C, & the first aid station, F. The campground is 0.35 mile from the lifeguard chair. The straight paths from both the campground and first aid station to the park ranger station are perpendicular.
If the path from the park ranger station to the campground is 0.65 mile, determine and state, to the nearest
hundredth of a mile,
a. Find the length of PL
Whwn the line of sight from the park ranger station, P, to the lifeguard chair, L, the length of PL is 0.76 miles.
How to calculate the valueIt should be noted that since the line of sight from the park ranger station, P, to the lifeguard chair, L, on the beach of a lake is perpendicular to the path joining the campground, C, and the first aid station, F, then the path from the park ranger station to the lifeguard chair is the hypotenuse of a right triangle with legs of 0.35 miles and 0.65 miles.
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs. Therefore, the length of PL is equal to:
= ✓(0.35² + 0.65²)
= 0.76 miles.
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