Write the equation of the line in fully
simplified slope-intercept form.
12
11
10
96
8
7
6
-12-11-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
5
4
3
2
1
-2
2 3 4 5 6 78 0
y
-9
-10
-11
-12
1
2 3 4 5 6 7 8 9 10 11 12
X
Answers
Answer:
y=5/2x-4
Step-by-step explanation:
y=mx+b
5/2 is the slope
-4 is the y intercept
Related Questions
What are the restrictions on the domain for the following rational expression?
Answers
Answer:
x <> -3, 8
Step-by-step explanation:
x² - 5x - 24 (the denominator of the fraction) must not be 0, because n/0 is not defined for any n.
since this is a quadratic equation, it must have 2 solutions.
therefore, the second answer must be right.
let's check.
a quadratic equation
ax² + bx + c = 0
has the solutions
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
x = (5 ± sqrt((-5)² - 4×1×-24))/(2×1) =
= (5 ± sqrt(25 + 96))/2 = (5 ± sqrt(121))/2 =
= (5 ± 11)/2
x1 = (5 + 11)/2 = 16/2 = 8
x2 = (5 - 11)/2 = -6/2 = -3
correct.
Help please!!!!!! Which table represents a linear equation that has a y-intercept of -3?
Answers
Answer: A
Step-by-step explanation:
A y-intercept is a point where a function (i.e a line) intercepts the y-axis.
Every point on the y-axis has a x value of 0.
The ordered pair will look like this (0,y)
In answer a, you have an x value of 0 with a corresponding y value of 3.
This point is (0,3).
You could also graph the points and look for where the function crosses the y-axis.
A mammogram is used to screen women for breast cancer. False positives are tests that incorrectly show a positive result. 85% of positive mammograms are actually false positives. If 1,000 women receive mammograms, and 200 are told there is an abnormal finding, how many women are likely to actually have breast cancer?
Answers
Answer:
30
Step-by-step explanation:
200 x .15 (1-.85 = .15)
30
Use point-slope form to write the equation of a line that passes through the point
(-11, -8) with slope -2/-3
Answers
Use the point-slope formula. The equation of a line of slope m
m
through (x0, y0)
(
x
0
,
y
0
)
is
y−y0=m(x−x0).
y
−
y
0
=
m
(
x
−
x
0
)
.
Let
(x0, y0)=(1, 3) and m=−2.
(
x
0
,
y
0
)
=
(
1
,
3
)
and
m
=
−
2
.
Then the equation of the required line is
y−3=−2(x−1).
y
−
3
=
−
2
(
x
−
1
)
.
Use the distributive rule and this is
y−3=−2x+2.
y
−
3
=
−
2
x
+
2
.
To get it In the slope-intercept form of
y=mx+b,
y
=
m
x
+
b
,
where b
b
is the second coordinate, that is, the ordinate of the y
y
intercept (0, b),
(
0
,
b
)
,
get y
y
by itself and
y=−2x+2+3.
y
=
−
2
x
+
2
+
3
.
Combine like terms and
y=−2x+5
y
=
−
2
x
+
5
and 5
5
is the ordinate of the y
y
intercept (0, 5).
(
0
,
5
)
.
In the standard form of
ax+by+c=0
a
x
+
b
y
+
c
=
0
it is
2x+y−5=0.
2
x
+
y
−
5
=
0
.
2.7K viewsView upvotes
2
Beverly Hills MD
Sponsored
Top plastic surgeon: How to improve your neck’s appearance.
This at home trick can take years off of your neck's appearance.
Learn More
724
Related questions (More answers below)
What’s the solution set of 2x+8>-4x+5
Answers
Answer:
x > –1/2
or x > –0.5
Step-by-step explanation:
2x + 8 > – 4x + 5
2x + 4x > 5 – 8
6x > –3
x > –3/6
x > –1/2
or x > –0.5
2 1/2 + x = 5 1/3
Help is very much appreciated!
20 pts!!
Answers
Answer: hope it helps
Step-by-step explanation:
2 1/2 + x = 5 1/3
(2 + 1/2) + x = (5 + 1/3)
6x = 17
x = 17/
6
= 2.83333333
x = 17/
6
≈ 2.833333
[tex] \huge \underline{ \boxed{ \tt Solution: }}[/tex]
[tex] \tt \pink{\large\dagger} \: \: \: \: \: \: 2\dfrac{1}{2} + x = 5\dfrac{1}{3} \\ \tt : \implies \dfrac{5}{2} + x = \dfrac{16}{3} \\ \tt : \implies x = \dfrac{16}{3} - \dfrac{5}{2} \\ \tt : \implies x = \dfrac{16 \times 2}{3 \times 2} - \dfrac{5 \times 3}{2 \times 3} \\ \tt : \implies x = \dfrac{32}{6} - \dfrac{15}{6} \\ \tt : \implies x = \dfrac{32 - 15}{6} \\ \tt : \implies x = \dfrac{17}{6} [/tex]
[tex] \tt \pink{ \star \: Hence \: the \: answer \: is \: \dfrac{17}{6}.}[/tex]
Put the steps up above in order.
Answers
Answer:
1. Given
2. Vertical Angles Theorem (1st Occurrence)
3. Vertical Angles Theorem (1st Occurrence)
4. Transitive Property of Congruence
5. Converse of the Alternate Interior Angles Theorem
Step-by-step explanation:
Vertical Angles Theorem
When two straight lines intersect, the opposite vertical angles are congruent.
Transitive Property of Congruence
If one pair of angles is congruent to a third angle, then the first angle is congruent to the third angle.
Converse of the Alternate Interior Angles Theorem
If two lines are intersected by a transversal so that the alternate interior angles are congruent, then the lines are parallel.
[tex]\begin{array}{l|l}\vphantom{\dfrac12} \sf Statements & \sf Reasons \\\cline{1-2}\\1. \; \angle 2 \cong \angle 7 & 1.\; \sf Given\\\\2. \; \angle 2 \cong \angle 3 & 2.\; \sf Vertical\;Angles\;Theorem\;(1st\;Occurrence)\\\\3. \; \angle 6 \cong \angle 7 & 3.\;\sf Vertical\;Angles\;Theorem\;(2nd\;Occurrence)\\\\4. \; \angle 3 \cong \angle 6 & 4.\;\sf Transitive\;Property\;of\;Congruence\\\\5. \; a \parallel b & 5.\;\sf Converse\;of\;the\;Alternate\;Interior\;Angles\;Theorem\\\\ \end{array}[/tex]
From inspection of the given diagram, we can see that angles 2 and 3 are vertical angles, similarly angles 6 and 7 are vertical angles. Therefore, the Vertical Angles Theorem applies.
According to the Transitive Property of Congruence, if ∠2 ≅ ∠7 and ∠2 ≅ ∠3 and ∠6 ≅ ∠7 then ∠3 ≅ ∠6.
The two lines a and b are intersected by transversal [tex]\ell[/tex] so that the alternative interior angles 3 and 6 area congruent, then the lines a and b are parallel. This is the Converse of the Alternate Interior Angles Theorem.
What is the value of y in the solution to the system of equations?
1/3*+1/4y=1
2x - 3y = -30
-8
-3
8
Answers
Answer:
(-3,6)
Step-by-step explanation:
[tex]\frac{1}{3}[/tex] x + [tex]\frac{1}{4}[/tex] y = 1 Divide all the way through by 12 to clear the fraction
4x + 3y = 12 Add this to the second equation
2x -3y = -30
6x = -18 Divide both sides by 6
x = -3
Substitute -3 into either of the original equations to solve for y
4x + 3y = 12
4(-3) + 4y = 12
-12 + 4y = 12 Add 12 to both sides
4y = 24 Divide both sides by 4
y = 6
What is 11.661903 rounded to the nearest hundreth?
Answers
Answer:
The number 11.661903 rounded to the nearest hundredth is 11.66.
Step-by-step explanation:
We have the following number:
11.661903And we need to round this number to the nearest hundredth.
To determine that, we can proceed as follows:
1. Round a number to the nearest hundred is equivalent to rounding the number to two decimal places.
2. Now, we can see that the number in the third decimal position or thousandth place is 1:
3. If this number were 5 or greater than 5, we would need to round up that number to the next following number, that is, 7. However, this is not the case.
4. Therefore, if we have to round that number to the nearest hundredth, then the number is 11.66.
Hence, in summary, the number 11.661903 rounded to the nearest hundredth is 11.66.
(Hi fyi this answer took a lot of time & effort to make sure it was accurate, precise and to the point to be produced, so if you could opt this answer as the brainliest it would mean the world to me,)
Stay positive and Take care,
A fellow mate,
Cheers !
3- =11 pls im scared to put 14 i over think
Answers
Answer: i believe it is 14 too
Step-by-step explanation:
Solve the triangle, if possible.
C=61° 50, c=31.2, b=23.6
Answers
a=34.697, only one triangle is formed.
And B=40°.7'
A≈77°.79'.So, option A is correct.
What is meant by triangle?Three edges and three vertices define a triangle as a polygon. One of geometry's fundamental shapes is this one.
Any three points determine a distinct triangle and a distinct plane in Euclidean geometry when they are non-collinear (i.e. a two-dimensional Euclidean space). To put it another way, each triangle is contained in a plane, and there is only one plane that includes that particular triangle. All triangles are contained in one plane if and only if all geometry is the Euclidean plane, however this is no longer true in higher-dimensional Euclidean spaces. Except as otherwise specified, the subject of this article is triangles in Euclidean geometry, more specifically, the Euclidean plane.
Given,
C=61° 50, c=31.2, b=23.6
Sine rule:
sin B/b=Sin C/c
sin B=b sin C/c
=(23.6 sin 61° 50)/31.2
sin B=0.65219
sin B=139.3
A+B+C=180
A=180-B-C
A=180-139.3-61.50
A= -20.8 which is not possible.
Because the angle must be positive.
sin B=sin 40.70
A+B+C=180
A=180-40.70-61.50
A=77.79'
sin A/a=sin C/c
a=c sin A/sin C
So, a=34.697
Only one triangle is formed
And B=40°.7'
A≈77°.79'
Hence, option A is correct.
To know more about triangle, visit:
https://brainly.com/question/2773823
#SPJ1
the following steps are used to set up a : identify your dependent and independent variables plot the data in a 2 dimensional plane. analyze the data to see whether there is a relationship/correlation between the variables. answer
Answers
The following steps are used to set up a regression
Regression analysis is a set of statistical methods used for the estimation of relationships between a dependent variable and one or more independent variables. It can be utilized to assess the strength of the relationship between variables and for modeling the future relationship between them.
Here , first we identify which variable is independent and which is affect by this independent variable
Then , we plot the data to analyze the pattern between them
Then we find correlation between them after we will able to draw our conclusion about regression.
Therefore, the regression analyses are performed a couple of times to produce the best analysis results, including the test statistics and the predicted fitted regression.
To know more about Regression here
https://brainly.com/question/28178214
#SPJ4
Triangle ABC and DEF are similar what is the measure of side DF?
Answers
Answer:
15
Step-by-step explanation:
25 / 15 = 1.666...
9 x 1.666.... = 15
Answer:
Step-by-step explanation:
375
if they are simiar than 15 from abc would have been the same length
There are a total of 64 students in a drama club and a yearbook club. The drama club has 10 more students than the yearbook club.
Write a system of linear equations that represents this situation. Let x represent the number of students in the drama club and y represent the number of students in the yearbook club.
System of equations:
__x+ __y=64
Answers
There are 37 students in drama club and 27 students in yearbook club.
And the system of equations will be 1.x + 1.y = 64.
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
Given that,
Total number of students in drama club and yearbook club = 64,
Also, there is a yearbook club. Students in drama club has 10 more than yearbook club,
If x represents the number of students in the drama club and y represents the number of students in yearbook club.
According to given condition,
x+ y = 64 (1)
and x = y + 10
Substitute the value of x in equation (1),
y + 10 + y = 64
2y = 54
y = 27
And x = 27 + 10 = 37
The required system of equations,
1.x + 1.y = 64
To know more about Equation on:
https://brainly.com/question/187506
#SPJ1
A cell phone manufacturer guarantees that the mean battery life for its latest cell phone model is at least 36 hours. You are asked to design a hypothesis test to challenge this claim.a. State the null and alternative hypotheses and identify which represents the claim.b. Describe type I and type II errors for a hypothesis test of the claim.c. Explain whether the hypothesis test is left-tailed, right-tailed, or two-tailed.d. Explain how you should interpret a decision that rejects the null hypothesis. e. Explain how you should interpret a decision that fails to reject the null hypothesis.
Answers
Null hypothesis: H₀: population mean, μ ≥ 36hours
Alternate hypothesis: H₁: population mean, μ < 36hours
Given that,
A maker of cell phones promises that the average battery life of its most recent cell phone model is at least 36 hours. To refute this assertion, you are required to create a hypothesis test.
We have to find
a. Describe the null and alternative hypotheses, then choose the one that best supports the claim.
b. Explain type I and type II mistakes for the claim's hypothesis test.
c. Describe if the hypothesis test has left-, right-, or two-tailed distributions.
d. Describe how to read a conclusion that rejects the null hypothesis. a. Describe how you should evaluate a choice that does not rule out the null hypothesis.
We know that,
a. Null hypothesis: H₀: population mean, μ ≥36hours
Alternate hypothesis: H₁: population mean, μ < 36hours
b. Type 1 error: is an error made when we reject the null hypothesis, when the null hypothesis is true. This happens the significance level % of time. In our example, a type 1 error would be made when the population mean is actually greater than 36 hours, but we conclude that the population mean is less than 36 hours.
Type 2 error: is an error made when we fail to reject the null hypothesis, when the null hypothesis is false. This is represented by beta. In our example, a type 2 error would be made when the population mean is actually less than 36 hours, but we conclude that the population mean is not less than 36 hours.
c. The test is left tailed since the area of rejection is on the left side (less than side).
d. We would interpret that at x% confidence level (generally 95%), we reject the claim that the population mean is greater than 36 hours. We would conclude that we have enough evidence from the sample that the population mean is significantly less than 36, and hasn't happened as a matter of chance.
To learn more about hypothesis visit: https://brainly.com/question/17173491
#SPJ4
i need to know the answer to this question
Answers
The function type is Linear function.
What is Linear function?
The terms "linear function" in mathematics refer to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.
From the given figure it is easily noticed that the function is increasing in nature for [tex]$x < 0$[/tex] and the function is constant in nature for [tex]$x > 0$[/tex] because the value of [tex]$\mathrm{y}$[/tex] remains unchanged for any value of [tex]$\mathrm{x}$[/tex], where [tex]$x \geq 0$[/tex].
The value of function is 3 at x=0.
The value of the function is always 3 for all [tex]$x \geq 0$[/tex]. So, f(x)=3 for [tex]x \geq 0$.[/tex]
The function is a straight line with intercepts (-3,0) and (0,3).
To learn more about Linear function visit:https://brainly.com/question/20286983
#SPJ1
The two red trapezoids have the same area.
Can you find the area of one of the blue triangles?
Answers
To find a trapezoid, add both bases and divide it by two (6+4)/2 giving 5
Now multiply by height to get 25 square units per trapezoid
Multiply by two for two trapezoids
Of the 60 square units of area our trapezoids take 50 square units.
Now we know in together the two triangles are 10 square units.
Divide by two and now we know each triangle is
5 square units each
Given: Line m is parallel to line n
prove : <1 is supplementary to < 3 HELP PLEASE
Answers
Supplementary angles are two angles whose combined angle is 180 degrees. As shown below, the table of the proof that (1) is an addition to (3) can be completed.
What are Supplementary angles?Supplementary angles are two angles whose combined angle is 180 degrees. When a straight line crosses another line, two angles are created on either side of the initially imagined straight line. Two sets of additional angles make up those two-two angles. This implies that a straight line will be formed by the outside sides of any extra angles that are positioned next to one another.
For the demonstration that 1 is an addition to 3, the preceding table can be completed as shown below.
1) Line m in is parallel to line n;
2) ∠1 = ∠2 → Corresponding angles
3) m∠1 = m∠2 → Definition of Congruent angles
4) ∠2 and ∠3 for a linear pair → Adjacent angles on a straight line
5) ∠2 is supplementary to ∠3 → Definition of linear pair
6) m∠2 + m∠3 = 180° → Definition of supplementary angles
7) m∠1 + m∠3 = 180° → Substitution Property
8) ∠1 is supplementary to ∠3
As a result, the table containing the proof that item 1 is an addition to item 3 can be completed as displayed above.
To know more about Supplementary Angles, visit:
https://brainly.com/question/2882938
#SPJ1
Write the expression as a number in scientific notation.
quantity 8 times 10 squared end quantity times quantity 3.2 times 10 to the fifth power end quantity all divided by the quantity 4 times 10 cubed
7.2 x 107
7.2 x 104
6.4 x 107
6.4 x 104
Answers
The value of the expression in the scientific notation will be 6.4 × 10⁴. Then the correct option is D.
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.
The expression is given below.
⇒ [(8 × 10²) × (3.2 × 10⁵)] / (4 × 10³)
Simplify the expression, then we have
⇒ [(8 × 10²) × (3.2 × 10⁵)] / (4 × 10³)
⇒ [(25.6 × 10⁷)] / (4 × 10³)
⇒ 6.4 × 10⁷⁻³
⇒ 6.4 × 10⁴
The value of the expression in the scientific notation will be 6.4 × 10⁴. Then the correct option is D.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ1
b. 2/(x-2)(x-3)+2/(x-1)(3-x)+1/(1-x)(2-x)
Answers
After using the quadratic equation the answer is [tex]\frac{2\left(x-3\right)}{x-2}+\frac{-x+4}{x-1}[/tex]
What is quadratic equation ?
Any equation in algebra that can be written in standard form as where x stands for an unknown value and a, b, and c stand for known values is said to be a quadratic equation. In general, it is assumed that a > 0; equations with a = 0 are regarded as degenerate since they become linear or even simpler.
Square and quadrangle difficulties have a close relationship with quadratic equations (another name for rectangles). In actuality, the Latin word quadratus, which means square, is the root of the word quadratic.
Any quadratic problem can be solved using the quadratic formula. The equation is first changed to have the form ax2+bx+c=0, where a, b, and c are coefficients. After that, we enter these coefficients into the following formula: (-b(b2-4ac))/(2a).
[tex]\frac{2}{x-2} (x-3) = \frac{2(x-3)}{x-2} \\\\ \frac{2}{x-1} (3-x) = \frac{2(3-x)}{x-1} \\\\\frac{1}{1-x} (2-x) = \frac{2-x}{1-x} \\\\[/tex]
[tex]\frac{2\left(x-3\right)}{x-2}+\frac{2\left(3-x\right)}{x-1}+\frac{2-x}{1-x}[/tex]
[tex]\frac{2(3-x)}{x-1} + \frac{2-x}{1-x}[/tex]
[tex]\frac{2\left(x-3\right)}{x-2}+\frac{-x+4}{x-1}[/tex]
To learn more about quadratic equation from the given link
https://brainly.com/question/1214333
#SPJ4
Find the 11th term in the following
arithmetic sequence :
20, 18, 16, 14, . . .
Hint: Write a formula to help you.
Answers
Answer is 0
Given:- arithmetic sequence 20,18,16,14,....
To find:- 11th term of given arithmetic sequence
Arithmetic Progression (AP) is sequence of numbers in order, in which the difference between any two consecutive numbers is constant value. It is also known as Arithmetic Sequence.
The 11th term of the A.P. can be found by a formula, a(n)=a(1)+(n-1)d , where n is the number of terms, a(1) is teh first term of A.P and d is difference between any two continuously terms.
Number of terms to be found = 11
therefore, a(11) = a(1)+(n-1)d
d=a(2)-a(1)
d=18-20
d=-2
putting value of d in above equation,
a(11) = 20 + (11-1)(-2)
a(11) = 20 - 20
a(11) = 0
hence the 11th term of arithmetic sequence 20,18,16,14,.... is 0.
Need an answer please will give Brainliest
Answers
The quotient will be = 2m^2 + 6m - 9m
The remainder will be = 0
Long division algorithm is below:
To know more long division algorithm,
https://brainly.com/question/27601809
The store clerk created a display of R rows of cereal boxes. Each row contained 16 boxes. Choose the expression that shows the total number of cereal boxes on display.
Answers
Answer:
16R = T or T = 16R
Step-by-step explanation:
R represents the unknown amount of rows and we know there are 16 boxes in each row.
This means to find the total number of boxes on display, you will have to times the number of rows by 16 as the clerk puts 16 boxes of cereal in each row
e.g, if there are 3 rows, then to find the total amount of cereal boxes, you would do 3 × 16 = 48
Since it's an expression, you need something to represent the total number so that can be represented by any letter ( I chose T ) — in most cases you can probably represent the total as x
Hence the expression should be 16R = T or T = 16R
...at least I think so
Salaries of 40 college graduates who took a statistics course in college have a mean x of $60.600. Assuming a standard deviation of $13,553 construct a 90% confidence level for estimating the population mean u
Answers
The confidence level is 60600<μ<3,524.786, assuming a standard deviation of $13,553 and the confidence level for estimating the population mean is 90%.
What do you mean by confidence level?
A confidence interval is a range of values that can contain the true value of the parameter being studied in statistics. It is created using observed data and calculated at a desired level of confidence.
The confidence level—for instance, a 95% confidence level—relates to the accuracy of the estimation process, not to the degree to which it is certain that the computed confidence interval contains the actual value of the parameter under investigation.
To learn more about a confidence level, use the link given
https://brainly.com/question/15712887
#SPJ1
Rachel recorded the number of calls she made at work during the week:
Monday: 18
Tuesday: 14
Wednesday: 24
Thursday: 16
She expected to make 18 calls each day. To answer whether the number of calls follows a uniform distribution, a chi square test for goodness of fit should be performed. (alpha = 0.10)
chi squared equals begin inline style sum from blank to blank of end style fraction numerator left parenthesis O minus E right parenthesis squared over denominator E end fraction
What is the chi squared test statistic? Answers are rounded to the nearest hundredth.
a. 4.61
b. 1.52
c. 3.27
d. 3.11
Answers
The value of the chi squared test statistic is 3.27
Chi square test means a statistical test used to compare observed results with expected results.
Here we have given that Rachel recorded the number of calls she made at work during the week:
Monday: 18
Tuesday: 14
Wednesday: 24
Thursday: 16
And we need to find the chi squared test statistic
While looking into the given question, we have identified that, She expected to make 18 calls each day
Here when a test statistic is smaller than in a left tailed test we would reject H₀.
And if we go to the standard normal chart and use 1% or 0.01, we will search for the closest value to 1% as closely as possible.0.0099 corresponds with a z-score of 3.27
Therefore, option (c) is correct.
To know more about Chi square test here.
https://brainly.com/question/14082240
#SPJ4
Find the area of the shaded region, the graph to the right, depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.
The area of the shaded region is ——?
Round to four decimal places as needed
Answers
Answer:
68%
Step-by-step explanation:
93 is 7 pts BELOW 100 this represents -7 /15 = -.4666 Z-score
From Z-score table this represents .3192 ..or 31.92 % to the LEFT of the 93 ...... to the RIGHT is 100% - 31.92 % = ~ 68%
In a survey of 2926 adults, 1476 say they have started paying bills online in the last year.
Construct a 99% confidence interval for the population proportion. Interpret the results.
Answers
The confidence interval for the given equation will be: 0.504.
What is confidence interval?
In frequency statistics, the confidence interval (CI) is the range of estimated values for an unknown parameter. Confidence intervals are computed at the specified confidence level. A 95% confidence level is the most common, but other levels such as 90% and 99% are sometimes used. The confidence level represents the proportion of corresponding CIs over time that contain the true value of the parameter. For example, 95% of all intervals computed at the 95% level must contain the true value of the parameter.
Factors that affect the width of the CI include sample size, sample variability, and confidence level. All else being equal, a larger sample results in a narrower confidence interval, a more varied sample results in a wider confidence interval, and a higher confidence level results in a wider confidence interval.
Therefore, The confidence interval for the given equation will be: 0.504.
To know more about confidence interval, visit:
https://brainly.com/question/15712887
#SPJ1
If the hours of daylight in Miami can be
approximated using a sinusoidal wave, what is the
amplitude of the function if the shortest day in
Miami is 10 hours and 52 minutes long and the
longest day in Miami is 13 hours and 45 minutes
long?
Answers
Answer:
the sinusoidal function that approximates the hours of daylight in Miami has an amplitude of approximately 1.44 hours.
Step-by-step explanation:
The amplitude of a sinusoidal function is half the difference between the maximum and minimum values of the function. In this case, the shortest day in Miami is 10 hours and 52 minutes long, and the longest day is 13 hours and 45 minutes long, so the difference between the maximum and minimum values is 2 hours and 53 minutes, which is equal to 173 minutes. Half of this is 86.5 minutes, which is the amplitude of the function.
To express this in hours, divide the amplitude in minutes by 60. This gives an amplitude of 86.5 / 60 = 1.44 hours.
So, the sinusoidal function that approximates the hours of daylight in Miami has an amplitude of approximately 1.44 hours.
Answer for free9+10 =
Answers
Answer: 19
Step-by-step explanation:
Answer:19
Step-by-step explanation: 10 add the 9
A family rents a truck to move from Buffalo to Chicago. The rental has a base cost of $49.95, plus, an additional cost of $1.19 per mile driven. The family also pays for gas, which costs $3.89 per gallon. The truck’s average gas mileage is 18 miles per gallon. The family decided to take a rest in Cleveland, what would be the distance travelled from Buffalo to Cleveland if the total cost of the move is $724.85?
Answers
By solving a linear equation, we will see that the distance is 479.98 miles.
How to find the distance?We know:
The rental has a base cost of $49.95 plus $1.19 per mile.
There is also an extra cost of $3.89 per gallon of gas, and with one gallon they can travel 18 miles, then there is another extra cost of:
$3.89/18 per mile.
Then, if you travel x miles, the total cost is given by the linear equation:
C(x) = $49.95 + ($1.19 + $3.89/18)*x
We want to find the value of x, number of miles, such that the total cost is $724.85, then we need to solve:
$724.85 = $49.95 + ($1.19 + $3.89/18)*x
Let's solve that for x:
$724.85 - $49.95 = ($1.19 + $3.89/18)*x
$674.90 = ($1.19 + $3.89/18)*x
$674.90/($1.19 + $3.89/18) = x
479.98 = x
So the distance is 479.98 miles.
Learn more about linear equations:
https://brainly.com/question/1884491
#SPJ1