The scenarios can you reverse the dependent and independent variables while keeping the interpretation of the slope meaningful in
E) As the number of calls made by a cell phone increases, the cell phone bill amount increases.
What is Independent and Dependent Variable?We anticipate that independent variables will have an impact on dependent variables. What occurs as a result of the independent variable is referred to as a dependent variable.
Given:
We can see from Option A that the opposite may not be true, as an increase in the risk of lung cancer may not always be accompanied by an increase in the number of cigarettes smoked each day.
Now, second it is clear that the opposite may not be true because an infant's age may not necessarily increase along with his or her height.
Now, third also acknowledges that a rise in traffic is not always accompanied by an increase in pollution in a city.
Fourth, a rise in water density does not always imply an increase in the amount of salt present in the water.
Only in Option E do we find a potential reverse reliance because a rise in phone bill amount does typically correspond to a rise in cell phone call volume.
Learn more about Dependent and Independent Variable here:
https://brainly.com/question/10690796
#SPJ9
A 20-year annuity is such that the first payment of $x is made at the end of the first year, and that subsequently, payments increase in such a way that each payment is 104% of the preceding one. If the present value of this annuity is $7229.50, find the value of x to the nearest integer.
Take the effective annual rate of interest to be 7%.
The value of x to the nearest integer is $294.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
We can use the formula for the present value of an increasing annuity to solve this problem:
PV = x/(i-g) × (1 - (1+g)/(1+ i)ⁿ)
where PV is the present value,
x is the first payment,
i is the effective annual interest rate,
g is the annual increase rate of the payments, and
n is the total number of payments.
Substituting the given values, we have:
7229.50 = x/(0.07-0.04) (1 - (1+0.04)/(1+0.07)²⁰)
Simplifying and solving for x, we get:
x = 7229.50×0.03 × (1 - 1/1.07^20) / (1.04 × (1 - 1/1.07²⁰))
x= $294
Therefore, the value of x to the nearest integer is $294.
To learn more on Percentage click:
https://brainly.com/question/28269290
#SPJ1
You randomly pull a marble from a bag of marbles. The bag has 2 red
marbles, 1 pink marble, 1 green marble, and 5 speckled marbles,
What is the probability of not drawing a green marble? Write your
answer as a decimal rounded to the nearest hundredth.
A
Answer:
0.89
Step-by-step explanation:
As there is 1 green marble out of 9 total marbles, there's a 1 in 9 chance of selecting the green marble. This means that its complement would be the probability of NOT selecting the green marble would be 8/9, or about 0.89
Answer:0.89
Step-by-step explanation:
Write this ratio as fraction in lowest terms. 8.64 to 37.76
The ratio 8.64 : 37.76 as a fraction will be 27/118.
What precisely is ratio?
Ratios and proportions are typically described using fractions. When a fraction is presented as a:b, a ratio is shown, whereas a percentage suggests that two ratios are equal. In this case, a and b can be any two numbers. The ratio and proportion are two essential notions that serve as a foundation for understanding other concepts in mathematics and science.
In our daily lives, we apply the notion of ratio and proportion, such as in business when dealing with money or in cooking.
As a consequence, when b is greater than zero, the ratio specifies the connection between two variables, such as a:b. The 2:4 ratio, for example, is written as 2:4 = 1:2.
Now,
Given ratio is 8.64 : 37.76
we can write this as 8.64/37.76
=864/3776
=432/1888
=216/944
=54/236
=27/118
Hence,
The ratio 8.64 : 37.76, as a fraction will be 27/118.
To know more about ratios visit the link
https://brainly.com/question/13419413?referrer=searchResults
#SPJ1
12 (long division) 924
The solution is, 12 (long division) 924 = 77.
What is division?Division is the process of splitting a number or an amount into equal parts.
Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
given that,
12 (long division) 924
so, we get,
12 | 924 | 77
84
----------------
84
84
-----------------
0
Hence, The solution is, 12 (long division) 924 = 77.
To learn more on division click:
brainly.com/question/21416852
#SPJ9
A mailer for posters is a triangular prism as shown. Determine the lateral surface area of the mailer. Draw a net if necessary.
The lateral surface area of the mailer is 234 In²
How to determine the lateral areaIt is important to note that the formula for the lateral area of a triangular prism is expressed as;
A = (a + b+ c) h
Given that the parameters are enumerated as;
A is the lateral area of the triangular prisma is the base sideb is the base sidec is the base sideNow, substitute the values into the equation, we have;
Lateral area, A = (4 + 4 + 5) 18
Add the values
Lateral area = (13)(18)
Multiply the values
Lateral area = 234 In²
Hence, the value is 234 In²
Learn about lateral area at: https://brainly.com/question/15777841
#SPJ1
In ΔVWX, x = 6.4 inches, w = 8.8 inches and ∠W=85°. Find all possible values of ∠X, to the nearest 10th of a degree.
please help me with intersections i’ll give you brainlist
Answer:
(-3,-1)
Step-by-step explanation:
The two lines intersect at that point. -3 is in the x axis and -1 is in the y axis.
Write the equation of the graph shown below in factored form
The equation of the polynomial is P(x) = -4(x + 1)(x - 1)(x - 2)^2
How to determine the equation of the polynomialFrom the question, we have the following parameters that can be used in our computation:
The graph
On the graph, we have the following readings:
A root of multiplicity 1 at x = -1A root of multiplicity 1 at x = 1A root of multiplicity 2 at x = 2y-intercept = -12A polynomial is represented as
P(x) = a * (x - zero)^multiplicity
Using the above as a guide, we have the following:
P(x) = a * (x + 1)(x - 1)(x - 2)^2
The y-intercept is -12
So, we have
a * (0 + 1)(0 - 1)(0 - 2)^2 = -12
This gives
a = -4
Hence, the expression is P(x) = -4(x + 1)(x - 1)(x - 2)^2
Read more about polynomial at
brainly.com/question/7693326
#SPJ1
question 4 i need help with
Answer:
$3.25 per hotdog
Step-by-step explanation:
This question can be written as a system of equations:
x = price of hotdogs
y = price of drinks
First family:
4x + 4y = 18
Second family
5x + 3y = 20
Multiply each equation so that one of the variables can cancel out:
-3(4x + 4y = 18)
4(5x + 3y = 20)
First equation:
-12x - 12y = -54
Second equation
20x + 12y = 80
Add the equations together
-12x - 12y = -54
20x + 12y = 80
8x = 26
Divide
x = $3.25
Insert the x into one of the original equations to find y:
4(3.25) + 4y = 18
13 + 4y = 18
4y = 5
y = $1.25
On average the number of drum sets sold in Ohio each year is equivalent to eight times the average number sold yearly in Vermont. If, on average, there are 79,992
drum sets sold each year in Ohio, how many are sold in Vermont?
How many 7 digit telephone numbers can be formed from the digits 0,1,2,...,9, where each telephone number begins with digit 2?
Answer: A lot
Step-by-step explanation:
What is the value of k such that (x³ + x² - 9x - 36) + (x + 4) has a rernainder
of zero? Show your work.
Answer:x^3+x^2-8x-32
Step-by-step explanation:
select the equivalent expression.
Answer:
Step-by-step explanation: Option A is correct.
Simplify the following as much as possible
A. csc x
B. sec x
C. sin x
D. cos x
Answer:
[tex]\textsf{C.} \quad \sin x[/tex]
Step-by-step explanation:
Given rational expression:
[tex]\dfrac{\sec^2x \csc x}{\sec^2x + \csc^2 x}[/tex]
Rewrite the numerator and denominator of the given rational expression using the following trigonometric identities:
[tex]\boxed{\boxed{\begin{array}{c}\underline{\sf Trigonometric\;Identities}\\\\\boxed{\sec^2 x=\dfrac{1}{\cos^2x}} \qquad \boxed{\csc^2 x=\dfrac{1}{\sin^2 x}}\qquad \boxed{\csc x=\dfrac{1}{\sin x}}\\\\\end{array}}}[/tex]
Therefore:
[tex]=\dfrac{\dfrac{1}{\cos^2x} \cdot \dfrac{1}{\sin x}}{\dfrac{1}{\cos^2x}+\dfrac{1}{\sin^2x}}[/tex]
Multiply the fractions in the numerator, and make the denominators of the fractions in the denominator the same:
[tex]=\dfrac{\dfrac{1}{\sin x\cos^2x}}{\dfrac{\sin^2x}{\sin^2x\cos^2x}+\dfrac{\cos^2x}{\sin^2x\cos^2x}}[/tex]
[tex]=\dfrac{\left(\dfrac{1}{\sin x\cos^2x}\right)}{\left(\dfrac{\sin^2x+\cos^2x}{\sin^2x\cos^2x}\right)}[/tex]
[tex]\textsf{Apply the trigonometric identity}\;\;\boxed{\sin^2x + \cos^2 x = 1}:[/tex]
[tex]=\dfrac{\left(\dfrac{1}{\sin x\cos^2x}\right)}{\left(\dfrac{1}{\sin^2x\cos^2x}\right)}[/tex]
[tex]\textsf{Apply\:the\:fraction\:rule}\;\;\boxed{\dfrac{\frac{a}{b}}{\frac{c}{d}}=\dfrac{ad}{bc}}:[/tex]
[tex]=\dfrac{\sin^2x\cos^2x}{\sin x\cos^2x}[/tex]
Cancel the common factor cos²x:
[tex]=\dfrac{\sin^2x}{\sin x}[/tex]
Simplify:
[tex]= \sin x[/tex]
Therefore:
[tex]\large\textsf{$\dfrac{\sec^2x \csc x}{\sec^2x + \csc^2 x}=$}\;\boxed{\boxed{\sin x}}[/tex]
What else would need to be congruent to show that AABC= AXYZ by ASA?
A
B
A.
B. AC=XZ
C. BC=YZ
D. ZCE Z
C
X
Y
N
Given:
AC = XZ
ZAEX
Answer:
D
Step-by-step explanation:
ASA = 2 non included angles + 1 included side
by knowing angle c is congruent to angle z we can prove the triangles are congruent by ASA postulate.
The correct statements would need to be congruent to show that
Δ ABC= ΔXYZ by ASA are,
⇒ ∠ B ≅ ∠ Y
⇒ ∠ C ≅ ∠ Z
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
AC = XZ
∠ A = ∠ X
Now, To prove the triangles are congruent by ASA , we get;
AC = XZ
∠ A = ∠ X
⇒ ∠ Z = ∠ C
or, ∠ B = ∠ Y
Thus, The correct statements would need to be congruent to show that
Δ ABC= ΔXYZ by ASA are,
⇒ ∠ B ≅ ∠ Y
⇒ ∠ C ≅ ∠ Z
Learn more about the angle visit:;
https://brainly.com/question/25716982
#SPJ5
Does 0% percent on battery health of capacity mean your iphone will never turn on again or it will?
Answer asap for brainlist
Answer:
It will turn on again, just charge it. All phones come with a charger.
Help me with my last question…..
Answer:
C
Step-by-step explanation:
An irrational number cannot be shown as a simple fraction. If the number has decimals that are non-repeating (so not 7.85555555... or. 9.121212121...), cannot be shown as fractions (not 1.50000000... as it can be written as 3/2), and does not terminate (aka end). C is the answer you're looking for, as it cannot be shown as a fraction, the numbers after the decimal go on indefinitely, and the number's don't follow a noticeable repeatable pattern.
Answer:
Step-by-step explanation:
Find the GCF of the terms of each polynomial 15x^2+18 and -18y^4+6y^3+24y^2
The GCF of the polynomials are
1. for 15x²+18 , the GCF is 3
2. for -18y⁴+6y³+24y² ,the GCF is 6y²
What is GCF?The GCF stands for the “greatest common factor”. The GCF is defined as the largest number that is a factor of two or more numbers. For example, the GCF of 24 and 36 is 12, because the largest factor that is shared by 24 and 36 is 12. 24 and 36 have other factors in common, but 12 is the largest.
The GCF is the highest factor that can be used to divide through 2 or more terms
1. For 15x²+18, 3 is a factor of 15 and 18 and it's the greatest factor, therefore the GCF is 3
2. For -18y⁴+6y³+24y², between 18,6 and 24, 6 is the greatest factor Ang between y⁴ ,y³, y², y² is the greatest factor. Therefore the GCF of the expression is 6y².
learn more about GCF from
https://brainly.com/question/630014
#SPJ1
Faith invests £800 for 3 years in a bank account.
The account pays simple interest at a rate of 0.4% per year
Work out the total amount of interest Faith has got at the end of the 3 years.
Faith earned £96 in interest at the end of the 3 years.
How to calculate the interest rateUsing the simple interest formula:
I = P x r x t
where
I is the interest earned,
P is the principal or initial amount invested,
r is the interest rate as a decimal, and t is the time period in years.
In this case, Faith invested £800 for 3 years at a simple interest rate of 0.4% per year, or 0.04 as a decimal. Plugging in the values:
I = £800 x 0.04 x 3
= £96
Therefore, Faith earned £96 in interest at the end of the 3 years.
Learn more about simple interest at: https://brainly.com/question/20690803
#SPJ1
Use the discriminant to describe the solutions as one real, two real, or two
imaginary solutions.
4. x2 − 15x + 12 = 0 5. 3x2 − 6x + 4 = 0
The Equation x² − 15x + 12 = 0 have two Real solution and 3x² − 6x + 4 = 0 have Imaginary solution.
What is solution to the Equation?The discriminant, denoted by the equation b² - 4ac, can be used to ascertain if the solutions are real, repetitive, or complex:
1) If the discriminant is smaller than 0, there are two imaginary roots to the problem (s).
2) The equation has one repeating real solution if the discriminant equals zero (s).
Given:
x² − 15x + 12 = 0
Solving the Quadratic Equation
x² − 15x + 12 = 0
D = b² - 4ac
D = (-15)² - 4(1)(12)
D = 225 - 48
D = 177 >0
So, the Equation will have two Real solution.
b) 3x² − 6x + 4 = 0
Solving the Quadratic Equation
3x² − 6x + 4 = 0
D = b² - 4ac
D = (-6)² - 4(3)(4)
D = 36 - 48
D = -12 >0
So, the Equation will have Imaginary solution.
Learn more about Types of Solution here:
https://brainly.com/question/29226845
#SPJ1
Quadrilateral ABCD has the following angle measures:
m∠A = ?°, m∠B = 97°, m∠C = 47°, m∠D = 90°
What is m∠A?
306°
234°
126°
54°
PLEASE HELP!
Answer:
126
Step-by-step explanation:
360-97-47-90=126
so 126
Answer: C) 126
Step-by-step explanation: first, you need to use this equation...
m∠A + m∠B + m∠C + m∠D = 360°
=> m∠A + 97° + 47° + 90° = 360° add all of the numbers...
=> m∠A + 234° = 360° subtract both sides by 234
=> m∠A = 360°- 234°
=> m∠A = 126°
Hope you've understood...
Solve the equation for all real solutions in simplest form.
2q² +11q+13= 0
Accountants often use the median when studying salaries for various businesses. What is the median of the following salary list: 32019, 21955,27507, 43715,38850,25963
The median of the following salary list is 29763.
What is a median?The median is the average in the centre of a data collection, which means that 50% of the data points have a value less than or equal to the median, and 50% of the data points have a value greater than or equal to the median. For a small data collection, calculate the number of data points (n) and organize them in ascending order.
The middle score in the group is called the median. Begin by sorting all of the data sets from lowest to highest before calculating the median. The median in an odd-numbered set will be the value that falls exactly in the center of the list. You must determine the average of the two middle integers in a set of even numbers.
Arrange in ascending order
21955, 25963, 27507, 32019, 38850, 43715
Take the two mid terms
27507 and 32019
Median = [tex]\dfrac{27507 + 32019}{2}[/tex]
Median = 29763
To know more about median, visit
brainly.com/question/28060453
#SPJ1
Data analysts pay attention to sample size in order to achieve what goals? select all that apply.
The practise of extracting information from data to guide better business decisions is known as data analysis. Five iterative phases typically comprise the data analysis process:
Choose the data you want to examine.
gather the data
Clean up the data before analysis.
Study the information
Interpret the analysis' findings
It is common knowledge that data analysts focus on the sample size in order to
To prevent a few outlier responses from distorting the results
ensuring that the data reflects a variety of viewpoints
to prevent making erroneous conclusions due to a tiny sample size
An analyst of data is who?
An individual involved in the handling of data is referred to by this phrase.
Such a person aids in the analysis, retrieval, and drawing of conclusions from the information at hand.
know more about data analysts click here;
https://brainly.com/question/23810306
#SPJ4
Which expression is equivalent to
The expression equivalent to 5x +10y -15 by taking the common factor is 5(x + 2y - 3).
What is taking out common factors?
The takeout of the common factor is the procedure, ab + ac = a(b + c). Think about how the expression 5x + 10 gets factored. The common factor 5, which was previously in front of the brackets, has been removed.
Figuring out what to multiply to create an expression. It is comparable to "splitting" an expression into numerous smaller expressions.
Given, the expression is 5x + 10y -15
So, 5x +10y -15 = 5x + 5*2y - 5*3
= 5(x + 2y - 3)
Hence, the required answer is 5(x + 2y - 3).
To learn more about the common factor
https://brainly.com/question/554406
#SPJ1
Given the letters H A M I L T O N in a game of scrabble:
a) How many ways can you arrange all of the letters if the arrangement must end in a vowel [vowel: a,e,i,o,u]
b) How many arrangements are there if you can only use five letters?
The number of ways to arrange all the letters if the arrangement must end in a vowel is; 25,200.
The number of arrangement using only five letters is; 6720.
What is the number of ways to arrange the letters as described?Since there are 5 options for the last letter, and there a 7 letters left to make an arrangement of 7.
Hence, The number of ways can you arrange all of the letters if the arrangement must end in a vowel is; 5 × 7!
= 5 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 25,200.
b). The number of arrangements if one can only use five letters is; ⁸P₅
= 6720.
Read more on arrangements;
https://brainly.com/question/1427391
#SPJ1
need help asap. pls somebody help.
Answer:
D
Step-by-step explanation:
why the panic ? you only need to compare the tiles with the actual terms in the equations and add them up.
x²
-x²
-x -x
x x x x (clearly that means 4x)
-1 -1 -1
1 1
so, we see it is D.
Complete the table for the given rule.
Rule:
�
=
�
+
0.6
y=x+0.6y, equals, x, plus, 0, point, 6
�
xx
�
yy
3
33
4.2
4.24, point, 2
2
22
y-coordinates for x=3, 4.2, 2 are y=3.6, 4.8 and 2.6 respectively.
What is the equation of a line?The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
The given equation is y=x+0.6
Find the y value for x=3, 4.2, 2
When x=3
y=3+0.6=3.6
When x=4.2
y=4.2+0.6=4.8
When x=2
y=2+0.6=2.6
Therefore, y-coordinates for x=3, 4.2, 2 are y=3.6, 4.8 and 2.6 respectively.
To learn more about the equation of a line visit:
https://brainly.com/question/2564656.
#SPJ9
For a fishing trip, Henry is going to choose lures to put in his tackle box. He has 4 lures that are crankbaits and 9 that are Jigs. In how many ways can he choose
7 lures if more than 5 must be jigs?
The number of ways for which he can choose 7 lures if more than 5 must be jigs is of:
372 ways.
What is the combination formula?The number of different combinations of x objects from a set of n elements is obtained with the formula presented as follows, using factorials.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The possible combinations are given as follows:
Six jigs from a set of 9 and one crankbait from a set of 4.Seven jigs from a set of 9.Hence the number of ways is given as follows:
n = 9!/(6! x 3!) x 4!/(1! x 3!) + 9!/(7! x 2!)
n = 372 ways.
More can be learned about combination and permutation at https://brainly.com/question/11732255
#SPJ1
Scientists are studying the temperature on a distant planet. Let y represent the temperature (in degrees Celsius). Let .x
represent the height above the surface (in kilometers). Suppose that x and y are related by the equation y = 47-5x.
The temperature on the surface of the planet, based on the equation for the temperature, is 47 degrees Celsius.
How to find the temperature ?The equation given of y = 47 - 5x, is such that every one kilometer that we go from the surface of the planet, the temperature reduces by 5 degrees Celsius.
What this means is that at the surface of the planet the temperature is 47 degrees Celsius because this is the temperature when we have not gone a single kilometer above the surface.
Find out more on temperature at https://brainly.com/question/24746268
#SPJ1
The rest of the question is:
Note that a change can be an increase or a decrease.
For an increase, use a positive number. For a decrease, use a negative number.
What is the temperature on the surface of the planet?
