The legitimate concern about the procedure being used is that "Registered voters with unlisted telephone numbers may be underrepresented in the sample" (Option B).
The reason for this concern is that the polling firm is using random phone numbers within the United States to conduct its surveys.
However, not all registered voters have their telephone numbers listed in public directories or databases, meaning they have unlisted telephone numbers.
Therefore, they may not be included in the random sample generated by the firm's automated calling procedure.
As a result, the sample may not fully represent the entire population of registered voters, as those with unlisted numbers will not be part of the sample.
This could lead to potential underrepresentation and potential bias in the survey results, making option B a legitimate concern about the procedure being used.
Thoe individuals are not targeted as per sampling procedure so the firm is not interested in including them or else they would have used a different sampling procedure. Others are sampling biases which are of concern because they may be present in the sampling procedure unknowingly.
So, Option B is not a legitimate concern because it was a pre-determined choice by the firm and not a bias that they need to be concerned about and try to have control on .
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Solve. Write answers as an imaginary number. 3x^2=-12
80 POINTS
Answer:
Step-by-step explanation:
3x^2 = -12
divide both side by 3x^2 = -4
Solve the square root.x = ±√-4
this equation has no real solutions
Answer:
x = {- 2i; 2i}-------------------------------
GivenEquation 3x² = 12Solve as below3x² = - 12x² = - 4x = √-4x = ± 2√-1x = ± 2iA researcher needs to assign 10 subjects, numbered 0 to
9, to one of two treatment groups: A and B. Use the table
of random digits, starting with the first row and first
column, to carry out the random assignment.
Table of Random Digits
1 07581 34728 65182 58648 53252 83952
2 23290 98227 30144 83191 12167 90414
3 79486 99776 71793 95330 58256 71156
4 46354 09077 98202 03946 07455 39303
5 00472 20787 54571 73719 04368 41032
Select the correct random assignment using the table.
A: 0, 7, 5, 8, 1
A: 0, 2, 4, 6, 8
B: 3, 4, 7, 2, 8
B: 1, 3, 5, 7, 9
B: 2, 9, 1, 7, 4
OA: 0, 3, 6, 5, 8
A: 0, 7, 5, 8, 1
B: 3, 4, 2, 6, 9
In response to the question, we may say that As a result, the right answer expression is OA: 0, 3, 6, 5, 8, corresponding to the participants assigned to therapy A.
what is expression ?An expression in mathematics is a collection of representations, numbers, and conglomerates that mimic a statistical correlation or regularity. A real number, a mutable, or a mix of the two can be used as an expression. Mathematical operators include addition, subtraction, fast spread, division, and exponentiation. Expressions are widely used in arithmetic, mathematics, and shape. They are employed in the depiction of mathematical formulas, the solving of equations, and the simplification of mathematical relationships.
To carry out the random assignment, we may utilise the following table of random digits:
Allocate the first ten topics to the table's rows, beginning with 0 and ending with 9.
Read the numerals from left to right, top to bottom, until 5 participants have been allocated to treatment A and 5 subjects have been assigned to treatment B.
We can get the following random assignment using this method:
A: 0, 3, 6, 5, 8 \sB: 1, 7, 4, 2, 9
As a result, the right answer is OA: 0, 3, 6, 5, 8, corresponding to the participants assigned to therapy A.
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Answer:
A: 0, 7, 5, 8, 1 B: 3, 4, 2, 6, 9
Step-by-step explanation:
THE ANSWER IS D
Subtract 7x-9 from 2x² - 11.
O 2x²-7x-20
02x²-7x-2
O 2x²+7x-20
O 2x²+7x-2
The required, subtraction of 7x-9 from 2x² - 11 is 2x²-7x-2. Option B is correct.
What is arithmetic?Arithmetic is a branch of mathematics that deals with the study of numbers, their properties, and their operations. It involves the basic operations of addition, subtraction, multiplication, and division, as well as more advanced operations such as exponents, roots, logarithms, and trigonometric functions.
Here,
To subtract 7x-9 from 2x² - 11, we need to distribute the negative sign across 7x and 9, and then combine like terms.
=2x² - 11 - (7x - 9)
= 2x² - 11 - 7x + 9
= 2x² - 7x - 2
Therefore, the answer is 2x²-7x-2.
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Roll one-8 sided die 10 times. The probability of getting exactly 3 sevens in those 10 rolls is given by .
The binomial probability of getting exactly 3 sevens in 10 rolls of an 8-sided die is approximately 0.0142 or 1.42%.
Given: Roll an 8-sided die 10 times and to find the probability of getting exactly 3 sevens in those 10 rolls.
Formula: The probability of getting exactly "k" successes in "n" trials of an event with a probability "p" of success in a single trial is given by the binomial probability formula:
P(k successes in n trials) = [tex]C(n , k) * p^k * (1 - p)^{(n - k)}[/tex]
where:
C (n , k) represents the number of combinations of "n" things taken "k" at a time, and p is the probability of success in a single trial.Step1
Calculate the probability of rolling a seven on an 8-sided die (p).
Since there is 1 "success" outcome (rolling a seven) out of 8 possible outcomes (8-sided die),
p = 1/8.
Step 2
Plug the values into the binomial probability formula for getting exactly 3 sevens in 10 rolls:
P(3 sevens in 10 rolls) = [tex]C(10, 3) * (1/8)^3 * (1 - 1/8)^{(10 - 3)}[/tex]
On subtracting gives:
=C(10, 3) * (1/8)^3 * (7/8)^{7}
Plugging the value of C(10,3) = 120 in the above equation:
= 120 * (1/8)^3 * (7/8)^{7}
Step 3:
Calculate the final answer using the formula:
P(3 sevens in 10 rolls) = 120 * (1/512) * (343/512)
≈ 0.0142
Therefore, the binomial probability of getting exactly 3 sevens in 10 rolls of an 8-sided die is approximately 0.0142 or 1.42%.
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Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for the first term.5, 6, 7, 8, ...
An expression which describe the given sequence is, an = -2 + n.
Arithmetic sequence states that a sequence where the difference between each successive pair of terms is the same.
What is the general formula for arithmetic sequence?an = -2 + n is an expression which describe the given sequence
The general rule for the arithmetic sequence is given by,
an = a + (n - 1)d ......[1]
where, denotes the initial word.
the common difference
there are n terms;
The given order is -1, 0, 1, 2,.....
This is a frequent difference arithmetic sequence.
Since,0-(-1) = 1
1-0 =1
2-1 = 1 ....
Here, a1 = -1
When you replace [1] with the value of d = 1, you get, a1 = -1
an = -1 + (n -1)(1)
an = -2 + n
Consequently, the following expression describes the given sequence: an = -2+n.
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Please help me solve this question thanks
The required values of functions (f₀g)(-3) is 11 and (g₀f)(6) is 23 respectively.
What is a function?
In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable. y and x are coupled in such a way that there is a distinct value of y for each value of x, and this relationship is frequently represented as y = f(x), or "f of x." In other words, the same x cannot have more than one value for f(x).
Given, f(x) = 4x - 1
g(x) = |x|
a) (f₀g)(-3) = f(g(-3)) = f(|-3|) = f(3) = 4*3-1 = 11
b) (g₀f)(6) = g(f(6)) = g(4*6-1) = g(23) = 23
Hence, the required values of functions (f₀g)(-3) is 11 and (g₀f)(6) is 23 respectively.
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The formula P=2L+2W represents the perimeter of a rectangle. In this formula, L is the length of the rectangle and w is the width. Solve the formula for W
Answer: P/2 - L = W
Step-by-step explanation:
P = 2L + 2W. We are isolating W. Subtract 2L from both sides to isolate the term first
P - 2L = 2W. Divide by 2 on both sides to isolate W.
P/2 - L = W
The price of 2 items in P and Q come to a ratio of 4:5. When the price of P is increased of $12 and the price of Q is reduced by $6,the items have the same price. Find the original price of P
Answer:
p = 72
Step-by-step explanation:
If we know that the ratio from P to Q is 4:5, we can multiply both sides by y (y = amount multiplied) to get our numbers.
4 × y =?
5 × y =?
We need to put a value in for y.
Let's use 9.
4 × 9 = 36 (P)
5 × 9 = 45 (Q)
Now let's add 12 to P, and take away 6 from Q.
36 + 12 = 48
45 - 6 = 39
The numbers aren't the same yet.
Let's use a different value for y.
y = 18
The equations will now look like this:
4 × 18 = 72 (P)
5 × 18 = 90 (Q)
Let's add 12 and 6 to the numbers again.
72 + 12 = 84
90 - 6 = 84
The numbers match up!
Therefore, the original price of p = 72
in 2001, progressive insurance asked cus- tomers who had been involved in auto accidents how far they were from home when the accident happened. the data are summarized in the table.
We get the following answers;
(a) The necessary histogram has been created and is supplied below.
(b) According to the data, it is indeed dangerous to drive close to home. Because 23% and 29% of accidents occur within 1 to 5 miles of home, respectively.
Step 1: in 2001, progressive insurance asked customers who had been involved in auto accidents how far they were from home when the accident happened. the data are summarized in the table.
Step 2:
Table :
Miles from home % of accidents Cumulative
Less than 1 23 23
1 to 5 29 52
6 to 10 17 69
11 to 15 8 77
16 to 20 6 83
over 20 17 100
(a) the required histogram is made and attached below.
(b) Yes, the data indicates that driving near home is particularly dangerous. Because, less than , 1 to 5 miles from home 23%, 29% of accidents.
Hence we get the required answers.
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In a recent year, the total sales at Restaurant A were $475,000 more than at Restaurant B. Total sales at the two stores were $550,000,000. What were the
sales for the year at each store?
Sales of one store is $274762500 and sales of other store is $275237500.
Define equation.A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("="). For illustration, 2x - 5 = 13.
Given
In a recent year, the total sales at Restaurant A were $475,000 more than at Restaurant B. Total sales at the two stores were $550,000,000.
Let sales of one store be x
Equation,
475000 + x + x = 550,000,000
2x = 550,000,000 - 475000
2x = 549525000
x = 274762500
Sales of one store = $274762500
Sales of other store
= $274762500 + $475000
= $275237500
Sales of one store is $274762500 and Sales of other store is $275237500.
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Status
Review
A certain state uses the following progressive
tax rate for calculating individual income tax:
Income
Range ($)
0 - 10,000
10,001 - 50,000
50,001 - 100,000
Progressive
Tax Rate
3%
5%
5.5%
Calculate the state income tax owed on a $50,000
per year salary.
tax = $[?]
Round your answer to the nearest whole dollar amount.
Enter
h
Answer:
final answer would be $6,550
Step-by-step explanation:
To calculate the state income tax owed on a $50,000 per year salary, we can use the progressive tax rate provided in the question. We can divide the salary into three ranges, corresponding to the three tax rates:
Income Range: $0 - $10,000
Progressive Tax Rate: 3%
Tax Owed: $0 - $10,000 * 3% = $0 - $300
Income Range: $10,001 - $50,000
Progressive Tax Rate: 5%
Tax Owed: $10,001 - $50,000 * 5% = $500 - $2,500
Income Range: $50,001 - $100,000
Progressive Tax Rate: 5.5%
Tax Owed: $50,001 - $100,000 * 5.5% = $2,750 - $5,500
Thus, the total state income tax owed on a $50,000 per year salary would be $300 + $2,500 + $2,750 = $6,550. This amount should be rounded to the nearest whole dollar amount, so the final answer would be $6,550.
Can someone solve this please
Answer: B
Step-by-step explanation:
The two equations have the same slope, but different points. This means that the lines are parallel to one another and will not intersect.
The answer is B: No solution
Answer: No solution.
Step-by-step explanation: I graphed the two given functions below. It looks like there is no solution to the given functions.
Hope this helps! :)
Point E is on line segment DF. Given DF = 19 and DE = 4, determine the
length EF.
Answer: EF =
Submit Answer
The length of EF in line segment DF is 15.
What is line segment ?A line segment's boundaries are two separate places on the same line. Another way to describe a line segment is as a piece of the line that joins two points.
Given that,
Length of line segment DF = 19.
Also, E is any point on line segment,
And DE = 4.
To find the length of EF,
Since, E lies on line segment DF,
Implies that,
DE + EF = DF
4 + EF = 19
EF = 15
The required length of EF is 15.
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A line is graphed on the coordinate grid to the right.
Which equation describes the line?
A.y=x/2+1/3
B.y = x/3+1/2
C.y=x/2+15 1/2
D.y=x/3+15 1/2
The equation of the line would be y = x/3 + 1/2.
Option (B) is correct.
What is the slope-intercept form of the line?
The slope-intercept equation is used to find the general equation of a straight line using its slope and the point where it intersects the y-axis. The slope intercept form equation is given as, y = mx + b.
As we can see in the graph the line cuts the y-axis at y = 1/2
so the y-intercept of the line would be c = 1/2.
And when x=4, y = 2
So we can prepare the equation as y = x/3 + 1/2.
Hence, the equation of the line would be y = x/3 + 1/2.
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The equation of the line would be y = x/3 + 1/2.
Option (B) is correct.
What is the slope-intercept form of the line?
The slope-intercept equation is used to find the general equation of a straight line using its slope and the point where it intersects the y-axis. The slope intercept form equation is given as, y = mx + b.
As we can see in the graph the line cuts the y-axis at y = 1/2
so the y-intercept of the line would be c = 1/2.
And when x=4, y = 2
So we can prepare the equation as y = x/3 + 1/2.
Hence, the equation of the line would be y = x/3 + 1/2.
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Boris feeds his dog 3/5 pounds of dog food for each meal. Boris has just bought 30 pounds of dog food. For how many meals will the food last?
The number of meals that Boris can feed his dog will be 50 meals.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Boris takes care of his canine with 3/5 pounds of canine nourishment for every dinner. Boris has quite recently purchased 30 pounds of canine food.
The number of meals that Boris can feed his dog will be calculated as,
⇒ 30 ÷ (3/5)
Simplify the expression, then we have
⇒ 30 ÷ (3/5)
⇒ 30 / (3/5)
⇒ 30 x 5 / 3
⇒ 10 x 5
⇒ 50
The number of feasts that Boris can take care of his canine will be 50 dinners.
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A recipe for a sports drink calls for 5/8 cup of powder for every 2 quarts of water. If Dionne uses 3 quarts of water, how many cups of powder are needed?
Answer: i think 15/8 but, im not sure
Step-by-step explanation:
The linear regression equation for the data set is...
Answer: C
Step-by-step explanation: Because
choose the answer that best describes the statement. probality can be used to determine the likelihood of specific .
The statements best describe probability as the relative likelihood that an event will occur. It is a number between 0 and 1 inclusive.
Probability
A mathematical tool used to examine unpredictability is probability. It discusses the likelihood that an event will occur. For instance, you might not get two heads and two tails if you flip a fair coin four times. But if you flip the same coin 4,000 times, you'll get results that are almost evenly split between heads and tails. The theoretically predicted chance of heads in any given toss is 12, or.5. There is a predictable pattern of results when there are numerous repetitions, even though the results of a few repetitions are unknown. One of the authors tossed a coin 2,000 times after reading about the English statistician Karl Pearson, who threw a coin 24,000 times and got 12,012 heads. The outcome was 996 heads. The expected chance of 5 is quite near to being reached by the fraction of 9962,000, which is equivalent to 498.
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A cell phone company’s average cost for producing cell phones is modeled by the equation y= 30,000+120x/x where y is the average cost per cell phone. For how many cell phones, x, will the average cost per cell phone be $150?
For x = 1000 cell phones, the average cost per cell phone will be $150.
What is a linear equation in two variables?
An equation is said to be a linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.
To solve for x, we can rearrange the equation to solve for x:
y = 30000 + 120x/x
Isolating x on one side of the equation gives:
x = 30000/(y - 120)
Substituting y = 150 into this equation gives:
x = 30000/(150 - 120)
This simplifies to:
x = 30000/30
Which simplifies to:
x = 1000
Hence, for x = 1000 cell phones, the average cost per cell phone will be $150.
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Calculate two-thirds of three-quaters of one half
Answer:
0.25
Step-by-step explanation:
Step 1: Convert all fractions to decimals
Two-thirds = 0.6666
Three-quarters = 0.75
One-half = 0.5
Step 2: Multiply all fractions
0.6666 * 0.75 * 0.5 = 0.25
Step 3: The answer is 0.25
Answer:
[tex]\dfrac{1}{4}[/tex]
Step-by-step explanation:
Three-quarters of one half:
[tex]\implies \dfrac{3}{4} \times \dfrac{1}{2}=\dfrac{3 \times 1}{4 \times 2}=\dfrac{3}{8}[/tex]
Two-thirds of "Three-quarters of one half":
[tex]\implies \dfrac{2}{3} \times \dfrac{3}{8}=\dfrac{2 \times 3}{3 \times 8}=\dfrac{6}{24}=\dfrac{6 \div 6}{24 \div 6}=\dfrac{1}{4}[/tex]
A _____ shows the joint or bivariate relationship between two categorized (nominal and/or ordinal) variablesA. RegressionB. Standard ErrorC. CrosstabulationD. Confidence Interval
A Confidence Interval shows the joint or bivariate relationship between two categorized (nominal and/or ordinal) variables.
Data that is labeled without using quantitative data is known as nominal data.
Define Variables?A variable in mathematics is an alphabet or phrase that stands in for an unknowable amount, unknowable value, or unknowable number.
A variable is categorical unless it has a numerical value, in which case it is referred to as a quantitative variable.
The category and quantitative variables are now classified as follows:
Duration is a quantitative variable with interval as its unit of measurement.
Ratings are categorical variables with an ordinal level of measurement.
The degree of measurement for the categorical variable "voting status" is nominal.
Ordinal data are those that can be arranged.
The highest and smallest known values are continuous and discrete values for interval data, respectively. The order is clear here. Here, the distinction between two values means something.
All of the characteristics of interval data apply to ratio data, plus it has the definition of zero(0), meaning that no points are included. For instance, height, weight, etc.
Because ratio includes both continuous and discrete data, it is likely that the difference between any two numbers won't be the same.
It is interval data since everyone knows when a class starts and when it ends, and it also has these two times. for instance, between 9:00 to 10:00
Nominal because the information is categorical.
Ordinary, given that we may get quality products here. Good, acceptable, or poor.
Ordinal because the marks can be arranged.
Ordinary since we can arrange the ages.
Line symmetry; rotational symmetry; the reflection in the line x = 0, the reflection in the line y = 0 the reflection in the line y = x and the reflection in the line y = -x map the square onto itself; the rotations of 90°, 180°, 270° and around the point ( 0 , 0 ) map the square onto itself.
Therefore,
A Confidence Interval shows the joint or bivariate relationship between two categorized (nominal and/or ordinal) variables.
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1) The rectangle below has a perimeter of 38cm. Find x.
X
2x + 7
2) Find the largest angle
2x + 15
2x + 30
-x + 17
4x + 19
cm
(2 Marks)
Answer:
4 cm 143°Step-by-step explanation:
You want the value of x that makes the perimeter of a rectangle be 38 cm when sides are x and (2x+7). And you want the largest angle in the quadrilateral with angles x+17, 2x+15, 2x+30, and 4x+19.
1. PerimeterThe perimeter of a rectangle is given by the formula ...
P = 2(L +W)
Substituting the given values, we have ...
38 = 2((2x+7) +x)
Dividing by 2 gives ...
19 = 3x +7
12 = 3x . . . . . . . subtract 7
4 = x . . . . . . . divide by 3
The value of x is 4 cm.
2. AnglesThe sum of the angles of a quadrilateral is 360°. This tells us ...
360 = (x +17) +(2x +15) +(2x +30) +(4x +19)
360 = 9x +81 . . . . . . . collect terms
40 = x +9 . . . . . . divide by 9
31 = x . . . . . . . subtract 9
The largest angle is 4x+19, or 4(31) +19 = 124 +19 = 143.
The largest angle is 143°.
Answer:
The answers are attached to this response.
Step-by-step explanation:
1.
⭐Properties of a rectangle
the opposite sides are parallel and congruent (the same)perimeter = the sum of all the sidesperimeter = 2(length)+2(width)Using the properties of a rectangle, let's form an equation of the perimeter to solve for x.
perimeter = 2(length) + 2(width)
38 = 2(2x+7) + 2(x)
38 = 4x + 14 + 2x . . . . . . . . . distribute the coefficients of the expressions
38 = 6x + 14 . . . . . . . . . . . . . add like terms
24 = 6x . . . . . . . . . . . . . . . . . subtract 14 from LHS and RHS
∴ 4 = x . . . . . . . . . . . . . . . . . . divide LHS and RHS by 6
2.
The figure shown makes the shape of a kite.
⭐Properties of a kite
the internal angles have a sum of 360°Using the properties of a kite, let's form an equation of the sum of the internal angles to solve for x, and then substitute x into the largest angle expression to find its angle measure.
(∠1) + (∠2) + (∠3) + (∠4) = 360°
(2x + 15) + (2x+30) + (4x+19) + (x+17) = 360
9x + 81 = 360 . . . . . . . add like terms
9x = 279 . . . . . . . . . . . subtract 81 from LHS and RHS
x = 31 . . . . . . . . . . . . . . divide LHS and RHS by 9
Substitute x into the largest angle expression to find its angle measure.
4(31) + 19 = 143°
∴ 143° is the largest angle
to specify that x1 must be at most 75% of the blend of x1 , x2 , and x3 , we must have a constraint of the form
The linear constraint form of the variables is X1 =< 0.75(X1 + X2 + X3)
The term linear refers the algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.
Here we have given that x1 must be at most 75% of the blend of x1 , x2 , and x3 ,
Abd here we must have to find the linear constraint of the form of the variables.
While we looking into the given question we have identified the three are three variables are given they are x1, x2 and x3.
And we have also given that x1 must be greater than 75% when we convert this into decimal then we get the value 0.75.
Here the term of blend refers the sum of the terms,
Then the linear constraint form of the variables is written as,
=> X1 =< 0.75 (X1 + X2 + X3)
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Prior to the current period, Sol Berenson had earnings subject to FICA tax of $138,600. This week, Sol has gross earnings of $4,900, so he will have $ withheld in FICA tax for this period.
The amount withheld in FICA Tax for Sol Berenson's weekly earnings is given as follows:
$749.7.
How much will be withheld by the FICA Tax?To calculate the amount withheld by Berenson's employer in FICA tax, we apply the proportion of the FICA tax to his total earnings.
Researching on a web search, the FICA tax rate is given as follows:
15.3% = 0.153.
As the FICA tax is a combination of the Medicare tax with the Social Security tax.
Sol Berenson's gross weekly earnings are given as follows:
$4,900.
(as stated in the problem).
The amount withheld is 15.3% of that, which is found applying the proportion, which is the multiplication of 0.153 by 4900 as follows:
Amount Withheld = 0.153 x 4900 = $749.7.
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given f(x)=2x+1,find f(-5)
Answer:
f(-5) = -9
Step-by-step explanation:
f(x) = 2x + 1
f(-5) = 2(-5) + 1
f(-5) = -10 + 1
f(-5) = -9
Denominator is 3 more than numerator. If both are increased by 2, the result is 2/3.
Eqn 1:
Eqn 2:
Answer:
Step-by-step explanation:
let numerator=x
denominator=x+3
again
[tex]\frac{x+2}{x+3+2} =\frac{2}{3} \\3(x+2)=2(x+5)\\3x+6=2x+10\\3x-2x=10-6\\x=?[/tex]
x=4
number is
[tex]\frac{4}{4+3} \\=\frac{4}{7}[/tex]
How to calculate rate of change of y=4x-3
Answer:
4
Step-by-step explanation:
Answer:
The rate of change is 4
Step-by-step explanation:
The rate of change is the slope.
Since the equation is written in slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = 4x-3
The slope is 4 and the y intercept is -3
If there is a girl with height 132cm there must be a girl with height 128
Solve each equation. Round to the nearest ten-thousandth.
17(0.3x+5)
Answer:
first option
Step-by-step explanation:
using the property of logarithms
ln [tex]x^{n}[/tex] = nlnx ( ln is the natural logarithm )
given
[tex]17^{(0.3x+5)}[/tex] = 12
take the ln of both sides
ln [tex]17^{(0.3x+5)}[/tex] = ln 12 , then
(0.3x + 5) ln 17 = ln 12 ( divide both sides by ln 17 )
0.3x + 5 = [tex]\frac{ln12}{ln17}[/tex] ≈ 0.877063 ( subtract 5 from both sides )
0.3x ≈ - 4.12293 ( divide both sides by 0.3 )
x = [tex]\frac{-4.12293}{0.3}[/tex] ≈ - 13.7431 ( to the nearest ten thousandth )
Use Figure 1 to evaluate the trigonometric function.
A right triangle with side a of length 13 opposite of angle A, and side b of length 6 opposite of angle B.136
Figure 1
Enter the exact answer.
tanB=
Change entry mode
Show your work and explain, in your own words, how you arrived at your answer. Answers with no relevant explanations may receive reduced or no credit.
third side, AB= 14.318 Units and tanB = 0.461
How to find the value of tanB and third side?given:
BC=13 units
AC=6 units
solution:
using pythagoras theorem, we get
AB² = BC² + AC²
AB² = 13² + 6²
AB² = 169 + 36
AB² = 205
AB = 14.318 units
tanB = side opposite/side adjacent
tanB = AC/BC
tanB = 6/13
tanB = 0.461
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Using Pythagoras theorem, Third side, AB= 14.318 Units and tanB = 0.461
What is the Pythagoras theorem theory?The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle, or, in standard algebraic notation, a2 + b2, are equal to the squares on the legs.
How to find the value of tanB and third side?given:
BC=13 units
AC=6 units
solution:
using pythagoras theorem, we get
AB² = BC² + AC²
AB² = 13² + 6²
AB² = 169 + 36
AB² = 205
AB = 14.318 units
tanB = side opposite/side adjacent
tanB = AC/BC
tanB = 6/13
tanB = 0.461
to know more about Pythagoras theorem, visit
brainly.com/question/343682
#SPJ1
