g:x→0.44√3.2x−4.1 i need to make that into a graph in my calculator but im not sure how
Answers
The graph of the given functions is (see in attachments).
From the question, we have
g(x) = 0.44√3.2x−4.1
Graph:
A graph is an organized visual representation of any data in mathematics. The relationship between the variable quantities is depicted on the graph. In a graph theory, the set of items that are somehow connected to one another is represented by a graph. The vertices or nodes of the objects are essentially mathematical notions, and the edges between the nodes represent the relationships between the nodes. In mathematics and statistics, there are various types of graphs that are used to visually display data. The study of points and lines is known as graph theory. It is a branch of mathematics that focuses on the investigation of graphs. The mathematical truth is shown visually in this picture. Relationships are studied using graph theory.
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Related Questions
4u+8v=-3u+2v
pleaseeee
Answers
Answer:
solve for u= 6v/7
solve for v= 7u/6
Step-by-step explanation:
Select all of the following equation(s) that are quadratic in form. x4 – 6x2 – 27 = 0 3x4 = 2x 2(x + 5)4 + 2x2 + 5 = 0 6(2x + 4)2 = (2x + 4) + 2 6x4 = -x2 + 5 8x4 + 2x2 – 4x = 0
Answers
The equations that are quadratic in form are:
x4 – 6x2 – 27 = 0
6(2x + 4)2 = (2x + 4) + 2
6x4 = -x2 + 5
How can the quadratic functions be written?The concept that is been used here is quadratic functions which can be written in three ways :
Standard Form: [y = ax^2 + bx + c ]Factored Form: [y = a ( x − r 1 ) ( x − r 2 ) ](x−r2)Vertex Form: [y = a ( x − h ) 2 + k ]Where vertical line x = h and a not equal to zero, Hence we can see that the three selected options above followed the concept that is decribed as the quadratic function.
Therefore, the first, fourth and fifth options are correct.
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Answer:
A, D, E
Step-by-step explanation:
The total cost for laundry service, in dollars, depends on the weight of the laundry, in pounds. This relationship is proportional, as it costs $22.25 for 25 pounds of laundry and $36.49 for 41 pounds of laundry. In words, describe the graph of the proportional relationship.
Answers
The proportional relationship between the cost and weight is given as y = 0.89x.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The absolute expense for clothing administration, in dollars, relies upon the heaviness of the clothing, in pounds. This relationship is corresponding, as it costs $22.25 for 25 pounds of clothing and $36.49 for 41 pounds of clothing.
The equations are given below.
22.25 = 25m + c ...1
36.49 = 41m + c ...2
From equations 1 and 2, then we have
41m - 25m = 36.49 - 22.25
16m = 14.24
m = 0.89
Then the value of c will be given as,
22.25 = 25 (0.89) + c
c = 0
The proportional relationship between the cost and weight is given as y = 0.89x.
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36 is 40% of what number?
Answers
[tex]\fbox{90}[/tex]
In order to find 36 is 40% of what number, we will need to use the following formula:
[tex]number\times100/Percent[/tex]
[tex]\frac{36\times100}{40}[/tex]
[tex]36\times100=3,600[/tex]
[tex]3,600\div40[/tex]
[tex]=90[/tex]
The solution of the number in the expression ''40% of a number is 36'' is 90.
Given that,
To find the solution for 40% of that number is 36.
Used the concpet of percentage which stated that,
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating the hundredth part of any quantity is called a percentage.
Let us assume that the solution of the given condition is x.
So, it can be written as,
[tex]40\% \times x = 36[/tex]
[tex]\dfrac{40}{100} \times x = 36[/tex]
Multiply both sides by 100,
[tex]40x = 36 \times 100[/tex]
[tex]40x = 3600[/tex]
Divide both sides by 40,
[tex]x = \dfrac{3600}{40}[/tex]
[tex]x = 90[/tex]
So, the solution for the number is 90.
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initially, a $65$-foot ladder rests against a vertical wall such that the top of the ladder is $60$ feet from the ground. then, naoki moves the base of the ladder farther out from the wall so that the top of the ladder slides down until resting against the wall at a point $52$ feet above the ground. given that the wall is perpendicular to the ground, how many feet did naoki move the base of the ladder?
Answers
Naoki shifted the base of ladder by 14 feet as the updated distance is 39 feet and old distance was 25 feet.
What is trigonometry?Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six common trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and abbreviations (csc). Finding the elements of vectors, modeling the mechanics of waves (both electromagnetic and physical), summarizing the strength of fields, and using dot and cross products are all physics applications of trigonometry. You can use trigonometry quite a bit in projectile motion.
Here,
The length of ladder= 65 foot
It rest at a wall at height of 60 foot.
So distance of foot of ladder from wall,
=√(65²-60²)
=√625
=25 foot
Now, as the ladder is shifted, it rest on the wall at height of 52 foot.
=√(65²-52²)
=√1521
=39 foot
Shift in the base of ladder,
=39-25
=14 foot
As the updated distance is 39 feet and the previous distance was 25 feet, Naoki moved the base of the ladder up by 14 feet.
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In the diagram below, \overline{TU} TU is parallel to \overline{QR} QR . If TUTU is 55 less than TSTS, QS=45QS=45, and QR=36QR=36, find the length of \overline{TS} TS . Figures are not necessarily drawn to scale. State your answer in simplest radical form, if necessary.
Answers
The length of TS, using similar triangles, is given as follows:
TS = x = 25.
What are similar triangles?Similar triangles are two triangles that share these two features:
Same angle measures.Proportional side lengths.In the context of this problem, the similar triangles are given as follows:
STU and SQR.
The proportional side lengths from these two similar triangles are given as follows:
TS = x and QS = 45.TU = x - 5 and QR = 36.Hence the proportional relationship that relates these lengths on the similar triangles is given as follows:
x/45 = x - 5/36
Applying cross multiplication, the length of TS, equals to x, is obtained as follows:
45(x - 5) = 36x
45x - 225 = 36x
9x = 225
x = 225/9
x = 25.
Missing InformationThe diagram is given by the image shown at the end of the answer.
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A school district telephone system has three-digit extensions. How many unique extensions are there with no
repeated digits, if the first digit cannot be zero and the last number is a nine?
A.72
B.64
C.504
E.None of the above
Answers
64 unique extensions are there with no repeated digits.
What is Combination?Combinations are decisions that are made by choosing some or all of a group of objects, regardless of how they are arranged.
For the 3-digit area code, the first digit can be any digit from 2 through 9, and each of the two digits that follow can be any digit from 0 through 9. That's a total of 8 × 10 × 10 = 800 different combinations.
Given:
A school district telephone system has three-digit extensions.
So, first digit cannot be zero then we have possibility of total 8 digits.
and the last number is a nine.
unique extensions are there with no repeated digits
= 8 x 8 x 1
= 64
Hence, 64 unique extensions are there with no repeated digits.
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state how the 2 triangles are congruent?? SSS and SAS HELP ASAPPP??
Answers
The two triangles are congruent by SAS criterion.
What is SAS criterion?According to this standard, two triangles are said to be congruent if their two sides are equal to the sides of another triangle and their respective angles are also equal. The "Side-Angle-Side" triangle congruence theorem is referred to as the SAS Criterion.According to the Side-Angle-Side theorem of congruency, two sides and the angle they produce are congruent if they are equivalent to two sides and the included angle of another triangle.Verification:
Let's carry out an exercise to demonstrate SAS's validity. AB=PQ, BC=QR, and ∠B=∠Q are given. To demonstrate: ΔABC≅ΔPQRPlacing the triangle ABC over the triangle PQR will cause B to fall on Q and the AB side to coincide with the PQ side.Point A falls on point P because AB=PQ.The side BC will fall along the side QR since ∠B=∠Q.Point C is in line with point R since BC=QR. As a result, BC and QR coincide, while AC and PR coincide.ΔABC will therefore match ΔPQR. Consequently, ΔABC ≅ ΔPQR. This exemplifies the SAS congruence criterion.To learn more about SAS criterion, refer to https://brainly.com/question/22472034
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PLEASEE HELP ME !! Find the volume of each shape and then compare do not reduce your fractions.
Answers
Answer:
1.) 150/512 in.
2.) 64/125 in.
Step-by-step explanation:
1.) V = l x w x h That's the formula to find the volume of a rectangle
V = 6/8 x 5/8 x 5/8 in. Plug in the numbers
V = 150/512 in. Multiply
V = 75/256 in. Simplify
Since you're asked to not reduce don't write this answer. I only put it to show that it can be simplified.
2.) V = l^3 This is the formula to find the volume of a cube
V = (4/5)^3 in. Plug in the numbers
V = 64/125 in. Miltuply
aaron collects 54 rocks at the beach. he wants to give an equal number of rocks to 6 of his friends. how many rocks did each of aaron's friends get? if r represents the number of rocks each friend will get, which equation could be used to solve the problem?
Answers
Each of Aaron's pals receives nine (9) rocks in total.
The question states that,
Aaron collects a total of 54 rocks at the beach.
He wants to give an equal number of rocks to six (6) of his friends.
It is given that let 'r' be the number of rocks each of his friends gets.
The required equation is;
Rock's Aaron's friends get,
→ 6*r = 54
r = 54/6
r = 9
The total number of rocks each of Aaron's friends get is 9.
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Dominique uses a car service company to travel to work and back home. She uses the same route each way. The company charges a ride fee of $3.00 and $1.25 per mile. Dominique pays $11.75 for transportation each way. Select all of the equations that model the total amount of money Dominique spends on travel each day if her route to work is x miles long.
Answers
The equation that model the total amount of money Dominique spends on travel each day if her route to work is x miles long is 3 + 1.25x = 11.75.
What is an equation?An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.
In this case, Dominique uses a car service company to travel to work and back home.
The company charges a ride fee of $3.00 and $1.25 per mile. The appropriate equation will be:
3 + 1.25(x) = 11.75
where x = number of miles
3 + 1.25(x) = 11.75
3 + 1.25x = 11.75
This illustrates the equation.
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a person must score in the upper 4% of the population on an iq test to qualify for membership in mensa, the international high iq society, if iq scores are normally distributed with a mean of 100 and a standard deviation of 15, what score must a person have to qualify for mensa. (2 decimals)
Answers
A person must have a score of 126.26 to qualify Mensa.
it is given that,
Mean [tex](\mu) = 100,[/tex]
Standard deviation [tex](\sigma) = 15[/tex].
A person must score in the upper 4% of the population,
100% - 4% = 96% = 0.96
P(X < Xo) = 96% = 0.96
P(X < 1.7507) = 0.96 ....................................using the Normal distribution table,
Or, when the Invnorm function is used, Invnorm(0.96) = 1.7507
Therefore, The required value of X is,
[tex]Z = \frac{(X - \mu )}{ \sigma }[/tex]
1.7507 = (X - 100) / 15
X - 100 = 26.26
X = 100 + 26.26
X = 126.26
thus, the score a person must have to qualify Mensa is 126.26.
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d) The rent of a room for 4 months is Rs 20,000. (i) What is the rent for 7 months? (ii) How long would a tenant hire the room for Rs 55,000 at the same rate of rent?
Answers
The rent for seven months is 35000 and a tenant hire the room for Rs 55,000 at the same rate of rent for 11 months
The rent of a room for 4 months is Rs 20,000.
The rent of a room for 1 month is Rs 20,000./4
The rent of a room for 1 month is Rs 5000
The rent of a room for 7 months is Rs 5000 x 7
The rent of a room for 7 months is Rs 35000
Now we need to calculate the number of month a tenant hire the room for Rs 55,000 at the same rate of rent
The rent is 5000 for 1 month
The rent will be 55000 for 1/5000 x 55000 = 11 months
Therefore, the rent for seven months is 35000 and a tenant hire the room for Rs 55,000 at the same rate of rent for 11 months
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(3x-19)
what is the value of x
Answers
What does 3x-19 equal? You can find x without it being an equation
The solution is, the value of x is 6.33.
What is simplification?Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
here, we have,
given that,
(3x-19) = 0,
here, we have to make the given expression simple, as we have to find the value of x.
so, we get, by isolating the variable & numbers,
adding 19 on both sides we get,
3x = 19
dividing both sides by 3, we get,
or, x = 19/3
or, x = 6.33
Hence, The solution is, the value of x is 6.33.
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let 0 < a < b < 1,
a) is a^x < b^x, for x>0
b) is a^x < b^x, for x<0
Answers
For 0 < a < b < 1, a^x < b^x, for x < 0.
What are inequalities and their types?
Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
Given, 0 < a < b < 1.
Assuming a = 0.25 and b = 0.5.
∴ (0.25)^x < (0.5)^x for x > 0, again assuming x to be 2.
∴ (0.25)^2 = 0.625 and (0.5)^2 = 0.25.
Now, 0.625 > 0.25 which is not satisfying a^x < b^x, for x > 0.
Therefore, if 0 < a < b < 1, then a^x < b^x, for x < 0.
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A rectangular athletic field has an area of 40x² + 190x-50. The width of the athletic field is 8x - 2. What is the length of the athletic field?
Answers
Answer:
The length = 5x + 25
Step-by-step explanation:
A = l x w
Deshaun's gas tank is 1/10 full. After he buys 6 gallons of gas, it is 2/5 full. How many gallons can Deshuan's tank hold?
Answers
Answer:
20 gallons
Step-by-step explanation:
2/5 = 4/10
3/10 = 6 gallons
1/10 = 6 : 3= 2 gallons
10/10 = 2 * 10 = 20 gallons
6 gallons + x gallons = 40% of the tank’s capacity.
6 gallons = 30% of the tank’s capacity.
That means that 18 gallons = 90% of the tank’s capacity.
10% of the tank’s capacity = 2 gallons.
Therefore, 100% of the tank’s capacity is 20 gallons. Meaning Deshaun’s gas tank holds 20 gallons of gas.
Evaluate the expression when g = 0.6.
400g2−0.9÷g
Answers
Substitute: 400 - 0.62 -
0.9
Ö.6 br ICalculate the
0.9
power.400 x 0.30 - 0.6 < br />Calculate the
0.9
product or quotient:144 -
0.6- brIsConvert
0.9
Ö.6 br ICalculate the
0.9
power.400 x 0.30 - 0.6 < br />Calculate the
0.9
product or quotient:144 -
0.6- brIsConvert
9
10
decimal to fraction:144 -
- < br />Divide a
6
10
fraction by multiplying its reciprocal:
9
10
144 - To X
< br />Write as a single fraction:
A utility pole has a support wire that reaches from the top of the pole to the ground, forming a right triangle. Ryan has measured the angle of elevation to the top of the pole formed by the wire and the ground to be 59°. He also knows that the horizontal distance from the base of the pole to the wire is 7 meters. What is the approximate height of the utility pole? A. 8 meters B. 12 meters C. 11 meters D. 14 meters
Answers
The height of utility poles is B. 12 meters.
The height of the utility pole will be calculated by the formula -
tan theta = perpendicular ÷ base, where theta is the angle of elevation, perpendicular is the height of utility pole and base is the distance from the base of pole to the wire.
Keep the values in formula to find the height of utility pole.
tan 59 = perpendicular ÷ 7
Perpendicular = tan 59 × 7
Perpendicular = 1.66 × 7
Performing multiplication on Right Hand Side of the equation
Perpendicular = 11.65 metres
On rounding off, we get 12 metres.
Thus, the height is B. 12 meters.
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the measure of the middle ordinate of a yaw mark is 6 ft. the radius of the arc is 70 ft. what was the length of the chord used in this situation? round the answer to the nearest tenth of a foot.
Answers
The length of the chord used in this situation is approximately 40.54 ft.
To find the length of the chord used in the situation, we can use the formula for the chord length in a circular arc:
Chord length = 2√(r² - (r - h)²)
where r is the radius of the arc and h is the measure of the middle ordinate.
Given that the radius of the arc is 70 ft and the measure of the middle ordinate is 6 ft, we can substitute these values into the formula:
Chord length = 2√(70² - (70 - 6)²)
Chord length = 2√(4900 - 4489)
Chord length = 2√(411)
Chord length ≈ 2 * 20.27
Chord length ≈ 40.54 ft
Therefore, the length of the chord used in this situation is approximately 40.54 ft.
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How do you use distributive property to express the expression as the multiple of a sum of two whole numbers with no common factor? 27 + 99, 99+36, 3+33, 33+27, 10+50
Answers
Both 27 and 99 can be divided by 3 and 9. 9 is larger so 27 + 99 = 9 x 3 + 9 x 11 = 9(3 + 11)
The other ones should now be easy.
When the common factor is not obvious try writing both numbers using prime factors
eg 28 + 42 = 2x2x7 + 2x3x7 = 2x7(2 + 3) = 14(2 + 3)
The non-common factors all end up in the brackets
(b)
Simplify
45e6f8
5ef²
Answers
45e^7 f^87
Step-by-step explanation:
help asap please. . . . .
Answers
The height of the ballon increases 30.5 feet per minute. The ballon starts at the height of 8.7 feet.
7. 55 is what percent of 100?
8. 22% of what number is 24.2?
9. 19 is 50% of what number?
10. 25 is 32% of what number?
11. 40% of what number is 28?
12. 30 is what percent of 60?
This is due tmr please help!
Answers
(7) 55 is 181.81% of 100
(8) 22% of 110 is 24.2
(9) 19 is 50% of 38
(10) 25 is 32% of 78.125
(11) 40% of 70 is 28.
(12) 30 is 200% of 60.
What is percent?
A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.", "pct.", and occasionally "pc" are also used to indicate it, while the percent symbol, "%," is most frequently employed. A % has no dimensions and no standard measurement.
(7) Suppose 55 is x% of 100.
So,
55x/100 = 100
x/100 = 100/55
x = 1.8181 x 100
x = 181.81%
Therefore, 55 is 181.81% of 100.
(8) Suppose 22% of x is 24.2
So,
x(22)/100 = 24.2
x = 24.2 x 100/22
x = 110
Therefore, 22% of 110 is 24.2
(9) Suppose 19 is 50% of x.
So,
19 = 50(x)/100
x = 19 x 100/50
x = 38
Therefore, 19 is 50% of 38.
(10) Suppose 25 is 32% of x.
So,
25 = 32(x)/100
x = 25 x 100/32
x = 78.125
Therefore, 25 is 32% of 78.125
(11) Suppose 40% of x is 28
So,
40(x)/100 = 28
x = 28 x 100/40
x = 70
Therefore, 40% of 70 is 28.
(12) Suppose 30 is x% of 60
So,
30(x)/100 = 60
x = 60 x 100/30
x = 200
Therefore, 30 is 200% of 60.
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according to the almanac of questionable statistics, vol 4 (2012), the probability of a mass squirrel uprising in any given year is 0.47 and the probability that cats and dogs will sign a peace treaty allowing them to live together peacefully in any given year is 0.61. if we presume that these two events are independent, what is the probability of both happening next year?
Answers
If the two events described in the questions are independent events, the probability of both happening next year is 28.67%.
Independent events refer to events whose occurrence is not interdependent. In other words, if the probability of occurrence of event A is not influenced by the probability of occurrence of event B, then A and B are independent events. Mathematically, independent events are represented as P(A│B) and is calculated by multiplying the individual probabilities of the two events. The formula of probability of two independent events is:
P(A│B) = P(A)*P(B)
Hence,
P(A│B) = 0.47*0.61
P(A│B) = 0.47*0.61
P(A│B) = 0.2867
The probability of two events happening next year is 28.67%.
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what is 9/10 x (-1 1/4)
Answers
Answer:
-2.475
Step-by-step explanation:
If y = 3x2 - 9, what is its inverse?
Answers
Answer:
f^-1(x) = √((y +9)/3)
Step-by-step explanation:
You want the inverse function of y = 3x² -9.
Inverse functionThe given relation will only have an inverse function if its domain is restricted to values x ≥ 0.
We can find that inverse function by interchanging the variables x and y, then solving for y:
x = 3y² -9
x +9 = 3y² . . . . . . . add 9
(x +9)/3 = y² . . . . . . divide by 3
y = √((x+9)/3) . . . . . take the square root
The inverse function is f^-1(x) = √((x +9)/3).
y=3x−15 in standard form please answer MY GRADES DEPEND ON IT
Answers
The equation, y = 3x - 15, written in standard form is 3x - y = 15
Writing an equation is standard formFrom the question, we are to write the given equation is standard form.
The given equation is
y = 3x - 15
The standard form of a linear equation is
Ax + By = C
Where A, B, and C are constants
x and y are variables
Now, we will write the given equation is the standard form of a linear equation.
y = 3x - 15
Substract y from both sides
y - y = 3x - y - 15
0 = 3x - y - 15
That is,
3x - y - 15 = 0
Add 15 to both sides of the equation
3x - y -15 + 15 = 0 + 15
3x - y = 15
Hence, the standard form is 3x - y = 15
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the faa now figures the average checked bag to weigh 30 pounds. this is up from a previous figure of 26 pounds. find the amount of increase and the percent of increase, to the nearest whole percent.
Answers
The amount of weight of bag increase is 4 pounds. The percent of increase is 13,33 %. The result is obtained by calculating the change of two numbers.
How to find the percent of change?A number can increase or decrease to another number. This change can be counted by subtracting the first number from the second number. If the result is positive, it is an increase. If the result is negative, it is a decrease.
The percent of change would be the ratio of the amount of change to first number times 100.
Given the first figure of bag is 26 pounds and the last figure is 30 pounds.
What is the amount of increase?What is the percent of increase?The amount of increase is subtracting 26 from 30.
30 - 26 = 4 pounds.
The percent of increase is
[tex]= \frac{4}{30} \times 100[/tex] %
[tex]= 0.1333 \times 100[/tex] %
[tex]= 13.33[/tex] %
Hence, the amount of weight of bag increase is 4 pounds. The percent of increase is 13,33 %.
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Allan i meauring hi dining room table to make a tablecloth. The table i 0. 45 meter longer than it i wide. If it i 1. 06 meter wide,how long i it?
Answers
The length of the table is 1.51 meters.
Allan is measuring his dining room table to make a tablecloth. The table is 0.45 meter longer than it is wide. The width of the table is 1.06 meter. We need to find out the length of the table.
Let the length of the table be represented by the variable "L". In the context of a mathematical problem or experiment, a variable is a quantity that may vary. The length of the table is the sum of the width of the table and the difference between the two quantities.
L = 1.06 + 0.45
L = 1.51
Hence, the length of the table is 1.51 meters.
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