The speed of the boat in still water is 6miles/hour miles per hour.
The speed of the current is 3miles/hour miles per hour.
The distance travelled by the boat downstream(with the flow current of river) is 240 miles.
The distance travelled by the boat upstream(Against the flow current of river) is 240 miles.
Time taken to travel downstream = 20 hours.
Time taken to travel upstream = 60 hours.
Let us say the velocity of the boat is V and the velocity of the current flow of river is U.
The relative velocity of boat with respect to ground while going downstream is,
velocity of boat in downstream = V + U.
As we know,
Velocity = distance/time
Putting values of downstream motion,
V + U = 240/20
V + U = 10
Let us say this is our equation 1.
The relative velocity of boat with respect to ground while going upstream is,
velocity of boat in upstream = V - U
As we already know,
Velocity = distance/time
Putting the values of upstream motion,
V - U = 240/60
V - U = 3
Let us say this is our equation 2.
Now, on adding equation 1 and 2.
V+U+V-U = 10 + 3
2V = 13
V = 6.5 miles per hour.
Rounding off to the nearest integer,
V = 6 miles/hour.
Putting V = 6.5 miles/hour in equation 1,
6.5 + U = 10
U = 3.5 miles/hour.
Rounding off to the nearest integer,
U = 3 miles/hour
The velocity of river current is 3 miles/hour and velocity of boat is 6miles/hour.
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A boat traveled 240 miles downstream, then 240 miles back up stream. The trip downstream took 20 hours. The trip back up stream took 60 hours. Use this information to fill in the following blanks.
The speed of the boat in still water is ______ miles per hour.
The speed of the current is ______ miles per hour.
100PTS PLS HELP (4 PART QUESTION)
Find the exact value of the following:
1. cos195°
2. sin195°
3. tan195°
4. Verify the identity: sin(x+y)-sin(x-y)= 2cosxsiny
Please show all work! I'd prefer if you'd do it on paper and upload it! Thank you so much!! <3
The trigonometric functions for the angle of 195º are given as follows:
1. cos(195º) = -0.9659.
2. sin(195º) = -0.2589.
3. tan(195º) = 0.2680
The identity is verified at the end of the answer.
Trigonometric functions for 195ºOne of the functions have to be given/found using a calculator, hence:
cos(195º) = -0.9659.
The sine and the cosine of the same angle are related according to the following identity:
sin²(x) + cos²(x) = 1.
Hence:
sin²(195º) + cos²(195º) = 1
sin²(195º) + (-0.9659)² = 1
sin²(195º) + 0.93296281 = 1
sin²(195º) = 1 - 0.93296281.
sin(195º) = ±sqrt(1 - 0.93296281)
sin(195º) = -0.2589. (the angle of 195º is on the third quadrant, where both the sine and the cosine are negative).
The tangent of an angle is given by the sine of the angle divided by the cosine of the angle, hence:
tan(195º) = sin(195º)/cos(195º) = -0.2589/(-0.9659) = 0.2680. (negative divided by negative is positive)
IdentityThe identities for the sine of the sum and of the subtraction are given as follows:
sin(x + y) = sin(x)cos(y) + cos(x)sin(y)sin(x - y) = sin(x)cos(y) - cos(x)sin(y)Hence the subtraction is:
sin(x + y) - sin(x - y) = (sin(x)cos(y) + cos(x)sin(y)) - (sin(x)cos(y) - cos(x)sin(y))
sin(x + y) - sin(x - y) = sin(x)cos(y) + cos(x)sin(y) - sin(x)cos(y) + cos(x)sin(y)
sin(x + y) - sin(x - y) = 2cos(x)sin(y).
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please help, i’ll give points
The linear equation represented in the table is:
y = -3x + 20
How to find the linear equation?A general linear equation of the form is:
y = a*x + b
We know that if a line passes through two points (x₁, y₁) and (x₂, y₂) then the slope is:
slope = (y₂ - y₁)/(x₂ - x₁)
Here we can use the last two points on the table:
(-2, 26) and (-4, 32)
Then the slope is:
slope = (26 - 32)/(-2 + 4) = -6/2 = -3
So this is like:
y = -3*x + b
To find the value of b we can use one of the points, i will use (-2, 26), then:
26 = -3*-2 + b
26 = 6 + b
26 - 6 = b = 20
The linear equation is y = -3x + 20
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50 Points Halp Me With This Question Pls and Ty
Angle 6, Angle 16 and Angle 11 are not congruent.
We need to check ∠5 is not equal to which angle from the figure.
What are angles of parallel lines?Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.
Here,
Angle 5 = Angle 2 (Vertically opposite angles)
Angle 5 = Angle 7 (corresponding angles are equal)
Angle 5 = Angle 13 (corresponding angles are equal)
Therefore, Angle 6, Angle 16 and Angle 11 are not congruent.
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Answer:
B) Angle 6
C) Angle 16
E) Angle 11
Step-by-step explanation:
Vertical Angles Theorem
When two straight lines intersect, the opposite vertical angles are congruent.
Corresponding Angles Theorem
When a straight line intersects two parallel straight lines, the angles in the same relative position are congruent.
According to the corresponding angles theorem:
∠5 = ∠13 = ∠7 = ∠15∠2 = ∠10 = ∠4 = ∠12According to the vertical angles theorem:
∠5 = ∠2Therefore:
∠5 = ∠2 = ∠4 = ∠7 = ∠10 = ∠12 = ∠13 = ∠15As angle 5 is not a right angle, the angles that angle 5 is not equal to are:
Angles 1, 3, 6, 8, 9, 11, 14 and 16Standard for slope intercept form
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: y = - \frac{3}{4}x - 9[/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
The given equation is :
[tex]\qquad\displaystyle \tt \rightarrow \: 9x +12y = -108[/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: 12y = - 108- 9x[/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: y = \frac{ -108}{12} - \frac{9x}{12} [/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: y = - \frac{3}{4}x - 9[/tex]
And this the equation of same line in its slope intercept form, where slope (m) = -3/4 and y - intercept = -9
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
An insurance agent is paid a salary of 200 and a commission of 3% on all sales over 2000 per month. If his total income in a particular month was 530 what was the amount of his sales for that month
The amount of the insurance agent's sales for the month is 11,000.
What is the amount of sales?The total income can be modelled as a linear equation. A linear equation is an equation that has one variable that is raised to the power of one. The form of a linear equation is:
y = mx + b
Where:
m = slope b = intercept530 = base salary + (percentage x value of sales over 2000)
530 = 200 + 3% x s
530 = 200 + 0.03s
530 - 200 = 0.03s
330 = 0.03s
s = 330 / 0.03
s = 11,000
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ASAP!! Justin bought a calculator and a binder that were both 15% off the original price. The original price of the binder was $6.20. Justin spent a total of $107.27. What was the original price of the calculator?
Include all steps for branliest.
If Justin bought a calculator and a binder that were both 15% off the original price. The original price of the binder was $6.20. Justin spent a total of $107.27. Then $120 the original price of the calculator
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100.
Let,
x be the original price of the calculator
y be the original price of the binder
we know that
15%=15/100=0.15
(x+y)(1-0.15)=$107.27
(x+y)(0.85)=$107.27....(1)
y=6.20....(2)
substitute the value of y in the equation A and solve for x
(x+6.20)(0.85)=107.27
(x+6.20)=107.27/0.85
x=107.27/0.85-6.20
x=126.20-6.20
x=120
Hence the original price of calculator is $120.
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Find the output, y, when the input, z, is -7. y =
In linear equation, y = -6 is the output .
What is a linear equation example?
Ax+By=C is the usual form for two-variable linear equations.As an illustration, the conventional form of the linear equation 2x+3y=5 When an equation is given in this format, finding both intercepts is rather simple (x and y).A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.We want to find the y value on the graph when x = -7
Got to x = -7 and find the value of the blue line
y = -6
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The complete question is -
Find the output, y, when the input, x, is -7
Which expression is equivalent to 2(−4.1s − 3.4)?
−2.1s − 3.4
−2.1s − 6.8
−8.2s − 3.4
−8.2s − 6.8
Answer:
D. −8.2s − 6.8
Step-by-step explanation:
Hope this helps you! :))
Please answer my first question
[tex]\textit{area of a rectangle}\\\\ A=bh ~~ \begin{cases} b=base\\ h=height\\[-0.5em] \hrulefill\\ b=2x^2+5x+4\\ h=5x^3 \end{cases}\qquad \begin{array}{llll} \\\\\\ A~~ = ~~ \end{array} \begin{array}{cllll} 2x^2+5x+4\\\\ \times ~~ 5x^3\\\cline{1-1} 10x^5+25x^4+20x^3 \end{array}[/tex]
ctagse autosave question4409071.1stems withvalues.)Construct a back-to-back stem-and-leaf diagram for the winning and losing scores given in the table below. (Enter numbers from smallest to largest separated by spaces. Enter NONE forSuper Bowl Results, 1967-201135-1033-1416-7 23-716=324-314-724-716-621-1732-1426-2135-31 31-19 27-1038-938-1646-1039-20$2-10 20-16 55-10 20=1937-2452-17 30-13 49-2635-2131-24 34-19 23-16 34-720-17 48-21 32-29 24-21 21-1029-1717-14 27-2331-25Winning Scores vs. Losing ScoresWinningLosina
Given
Values of winning and losing scores
Find
Make a stem and leaf ploy for the given values
Explanation
Final answer
Above is the
100 points pls helppppp
Answer:
[tex](g \circ f)(0)=216[/tex]
Step-by-step explanation:
Given functions:
[tex]\begin{cases}f(x)=2x+6\\g(x)=x^3\end{cases}[/tex]
(g o f)(x) is a composite function.
Composite functions are when the output of one function is used as the input of another.
Therefore, the given composite function (g o f)(0) means to substitute the function f(x) when x=0 in place of the x in function g(x).
[tex]\begin{aligned}\implies (g \circ f)(0)&=g[f(0)]\\& = g(2(0)+6)\\&=g(0+6)\\&=g(6)\\&=6^3\\&=216\end{aligned}[/tex]
Derek filled the pitcher with 8 fluid ounces of lemonade. What was the percent error if the actual measurement was 10 fluid ounces?
Answer: 80%
Step-by-step explanation:
To find percent error all you have to do is divide the estimate by the actual then multiply it by 100
8/10×100=80%
The percent error of the actual measurement of 10 fluid ounces is 25%.
Percent error:
Percent error means the difference between the exact or known value of something and its approximate or actual value, in percentage form.
The formula to calculate the percent id defined as
δ = |(A - E)/E| x 100%
Where
δ = percent error
A = actual value observed
E = expected value
Given,
Derek filled the pitcher with 8 fluid ounces of lemonade.
Here we need to find the percent error if the actual measurement was 10 fluid ounces.
According to the percent error formula, the actual value in the given question is 10 and the expected value is 8.
Then we have to apply the value on the formula, then we get,
Percent error = [(10 - 8)/8] x 100%
Percent error = [2/8] x 100%
Percent error = 0.25 x 100%
Therefore, the percent error in the given situation is 25%.
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a company has developed a new computer sound card, but the average lifetime is unknown. in order to estimate this average, 200 sound cards are randomly selected from a large production line and tested and the average lifetime is found to be 5 years. the 200 sound cards represent the:
The 200 sound cards represent the sample if they are randomly selected from a large production line.
A sample in statistics can be defined as a small part or subset of a population or group that intends to represent what the whole population is like. A sample may be randomly selected or may be selected non-randomly.
In this case, the whole production line of the sound card can be considered as a population. Out of this population of sound cards, 200 are randomly selected to estimate the average lifetime thus determining the characteristic of the whole population, therefore it is said to be the sample of the sound cards and the 5 years is the value of the statistic.
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PLS HURRY ILL GIVE BRAINLIEST!! Which number sentence is true?
Answer:
B
Step-by-step explanation:
Let's go through each, step-by-step and simplify to see if we find a true number sentence:
A)
[tex]3\frac{1}{3} < \sqrt{7}?[/tex]
[tex]3.3333 < 2.64575?[/tex] Not true
B)
[tex]4.8 < \sqrt{32}?[/tex]
[tex]4.8 < 5.65685?[/tex] True
Knowing B is true, we have found our answer and don't need to go any further.
Select the statement that correctly compares two numbers. (2 points) 3.02 = 3.020 4.05 < 4.05 5.17 < 5.07 6.08 > 6.08 hurry up
The statement that correctly compares two numbers is: A. 3.02 = 3.020
What is an inequality?An inequality can be defined as a mathematical relation that compares two (2) or more numbers such as integers, and variables in an equation based on any of the following arguments (symbols):
Less than (<).Greater than (>).Greater than or equal to (≥).Less than or equal to (≤).Next, we would evaluate the given inequalities in order to determine the correct statement as follows:
3.02 = 3.020 (True).
4.05 < 4.05 (False) because 4.05 is equal to 4.05.
5.17 < 5.07 (False) because 5.17 is greater than 5.07.
6.08 > 6.08 (False) because 6.08 is equal to 6.08.
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solve the system of equations algebraically y=4x + 1 6x-2y=3
The solution of the system of equation is as follows:
x = 1 / 14y = 9 /7How to solve system of equation?The system of equation can be solved algebraically using substitution method.
The system of equation can be solved when we find the value of x and y as follows:
y = 4x + 1
6x - 2y = 3
Let's substitute the equation(i) in equation(ii)
6x + 2(4x + 1) = 3
6x + 8x + 2 = 3
14x + 2 = 3
14x = 3 - 2
14x = 1
x = 1 / 14
let's find y as follows:
y = 4(1 / 14) + 1
y = 4 / 14 + 1
y = 2 / 7 + 1
y = 2 + 7 / 7
y = 9 / 7
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What is the slope of the line that passes through the points (-7, -10) and (-19,-10)? Write your answer in simplest form.
The slope of the line that passes through the points (-7, -10) and (-19,-10) is 0.
What is the slope of the line with the given coordinates?Slope is simply expressed as change in y over the change in x.
It is expresses as;
Slope m = ( y₂ - y₁ )/( x₂ - x₁ )
Given the data in the question;
Point 1 ( -7, -10 )
x₁ = -7y₁ = -10Point 2 (-19,-10)
x₂ = -19y₂ = -10Plug the given x and y values into the slope formula and simplify.
Slope m = ( y₂ - y₁ )/( x₂ - x₁ )
Slope m = ( -10 - (-10) )/( -19 - (-7) )
Slope m = ( -10 + 10 )/( -19 + 7 )
Slope m = ( 0 )/( -12 )
Slope m = 0/-12
Slope m = 0
Therefore, the slope of the line is 0.
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Could someone please help? You do not have to draw a diagram.
The biggest area of a quadrilateral we can fit in a circle of a 20π units is 200 sq units.
What is area of a quadrilateral?A quadrilateral made up of two triangles.Area of the quadrilateral = 2 * area of the traingleIf the diagonal and the length of the perpendiculars from the vertices are given, then the area of the quadrilateral is calculated as: Area of quadrilateral = (½) × diagonal length × sum of the length of the perpendiculars drawn from the remaining two vertices.GIVEN:
The circumference of the circle is 20π units.The biggest area of a quadrilateral that can fit in a circle is of square.Deduce the radius of the circle.SOLVING:
2πR =20πr = 10 unitsArea of the quadrilateral is
100*2= 200 sq unitshence,The biggest area of a quadrilateral we can fit in a circle of a 20π units is 200 sq units.
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Someone please complete. will mark brainliest. 30 points given!!
The answer to all the subparts of the congruency of triangles is shown:
ΔABC and ΔPQR are congruent - SSS congruence.ΔGHJ and ΔUVW are congruent - SSS congruence.ΔGHJ and ΔPQR are not congruent.ΔPQR and ΔUVW are not congruent.What is the Congruence of a triangle?If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance.In ΔABC and ΔPQR
AB = PQAC = PRBC = QRThus from SSS congruence, we get ΔABC ≅ ΔPQR
In ΔGHJ and ΔUVW
GH = UVJH = WVJG = UWThus from SSS congruence, we get ΔGHJ ≅ ΔUVW
However, ΔGHJ and ΔPQR are not congruent because there are no two sides that are equal.
Also, ΔPQR and ΔUVW are not congruent because of the same reason mentioned above.
Therefore, the answer to all the subparts of the congruency of triangles is shown:
ΔABC and ΔPQR are congruent - SSS congruence.ΔGHJ and ΔUVW are congruent - SSS congruence.ΔGHJ and ΔPQR are not congruent.ΔPQR and ΔUVW are not congruent.Know more about the Congruence of a triangle here:
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y+2=-3(x+2) in slope intercept form
y = -3x - 8
Slope-intercept form: y = mx + b
Given: y + 2 = -3(x + 2)
Simplify:
y + 2 = -3x - 6
y = -3x - 6 - 2
y = -3x - 8
We have: m = -3, and b = -8
Answer:
y=-3x-8
Step-by-step explanation:
First make y by itself
y=-3(x+2)-2
Distribute the -3
y=-3x-6-2
Combine like terms
y=-3x-8
Calculate the cost of one pen is eight pens cost $32.
Answer:
8 pens = 32
1 pen = 32 ÷ 8
= 4
Cost of one pen is $4.
Suppose that 3 j of work is needed to stretch a spring from its natural length of 24 cm to a length of 33 cm. (a) how much work is needed to stretch the spring from 29 cm to 31 cm? (round your answer to two decimal places.) (b) how far beyond its natural length will a force of 15 n keep the spring stretched? (round your answer one decimal place.)
a) 14.81 J of work is needed to stretch the spring from 29 cm to 31 cm.
b) 2 cm far beyond its natural length will a force of 15 N keep the spring in stretched position.
It is mentioned that 3 J of work is needed to stretch a spring from its natural length of 24 cm to 33 cm.
We know the work done on the spring is expressed by the following given equation:
[tex]W=\frac{1}{2} ke^{2}[/tex]
Where, W = workdone that is done on the spring
k = elastic constant
e = extension of the given material
So, Work (W) = 3 J and e = 33 cm - 24cm = 9 cm = 0.09 m
So, putting the above values we calculate the value of 'k' as below:
[tex]W=\frac{1}{2} ke^{2}[/tex]
⇒ [tex]3=\frac{1}{2} k(0.09)^{2}[/tex]
⇒ 3 x 2 = 0.0081k
⇒ k = [tex]\frac{6}{0.0081}[/tex] N/m
⇒ k = 740.74 N/m
a) Now using the same formula for work, we will determine the amount of work that is needed to stretch the spring from 29 cm to a length of 31 cm.
k = 740.74 N/m
e = 31 cm - 29 cm = 2 cm = 0.02 m
[tex]W=\frac{1}{2} ke^{2}[/tex]
⇒ W = [tex]\frac{1}{2} (740.74) (0.02)^{2}[/tex]
⇒ W = 14.81 J
The work that is done to stretch the spring from 29 cm length to 31 cm is 14.81 J.
b) From the Hooke's law we have, F = ke, where F is the force applied on the spring. Now here we have been given that a force of 15N is applied and we have to find the 'e' that is the extennsion in the natural length of the given spring.
k = 740.74 N/m
F = 15 N
F = ke
⇒ 15 N = 740.74 x e
⇒ e = [tex]\frac{15}{740.74}[/tex] m
⇒ e = 0.02 m = 2 cm
Therefore the natural length of the spring will be stretched by a length of 2 cm when a force of 15 N is applied.
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the quotient of 98 and a number
Answer:
98 ÷ 98 = 1 OR 98 ÷ 1 = 98
Step-by-step explanation:
Division is breaking something up into equal parts. The "dividend" is the whole you start with, the "divisor" is what you use to divide up the whole, and the "quotient" is the answer like this: Dividend ÷ Divisor = Quotient. So, the quotient of 98 and a number would be represented as such: 98 ÷ 1 = 98 or 98 ÷ 98 = 1
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Complete the function for this graph
As Sandra drives, her music player randomly selects music from her playlist. Sandra’s playlist contains:
3 traditional country songs
6 traditional rock songs
4 hip-hop rap songs
5 contemporary country songs'
1 Latin rap song
3 traditional pop songs
What is the probability that the player will select some rap music next?
Find P (traditional), that is, the probability that the player will randomly select traditional music of any kind.
Find P (traditional pop)
Find P (not country), the probability that the next song is NOT country music.
In the given question, the following information is given
Sandra music player randomly selects music from her playlist. Sandra’s playlist contains:
traditional country songs = 3
traditional rock songs = 6
hip-hop rap songs = 4
contemporary country songs' = 5
Latin rap song = 1
traditional pop songs = 3
Total sample space = 3 + 1+ 5 + 4+ 6+3 = 22 songs
We need to find the probability, that her music player will play a rap song = [tex]\frac{Number of sample sample space for rap song}{Total space} \\[/tex]
= [tex]\frac{4 + 1}{22}[/tex] = [tex]\frac{5}{22}[/tex]
P (traditional), that is, the probability that the player will randomly select traditional music of any kind = [tex]\frac{Number od sample space for traditional song}{total sample space}[/tex]
= [tex]\frac{3 + 6+3}{22}[/tex]
= [tex]\frac{12}{22}[/tex] = [tex]\frac{6}{11}[/tex]
P (traditional pop) = [tex]\frac{sample space for pop songs}{total sample space}[/tex]
= [tex]\frac{3}{22}[/tex]
P (country), the probability that the next song is country music = [tex]\frac{Sample space fpr country music}{total sample space}[/tex]
= [tex]\frac{8}{22}[/tex]
= [tex]\frac{4}{11}[/tex]
P (not country), the probability that the next song is NOT country music.=
1 - [tex]\frac{4}{11}[/tex]
= [tex]\frac{11 -4}{11}[/tex]
= [tex]\frac{7}{11}[/tex]
Hence, this is the final answer.
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what are the name of these polygons
The names of the polygons are;
a. Heptagon
b. Octagon
c. Pentagon
d. Hexagon
What are polygons?A polygon can be defined as a plane figure described by a known number of straight line segments which are connected to form a closed chain.
Polygon are also described as figures which are enclosed by line segments known as sides.
It is important to note that polygons are 2- dimensional shapes.
Depending on the number of sides, the types of polygons are;
three sides = trianglefour sides = QuadrilateralFive sides = pentagonSix sides = HexagonSeven sides = HeptagonEight sides = OctagonNine sides = NonagonTen sides = Decagona. It has seven sides = Heptagon
b. It has eight sides = Octagon
c. It has five sides = pentagon
d. It has six sides = Hexagon.
Hence, the number of sides determines the name.
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A study on students drinking habits wants to determine the true average number of alcoholic drinks all uf graduate students have in a one week period. We know from preliminary studies that the standard deviation is around 1. 8. How many students should be sampled to be within 0. 25 drink of population mean with 95% probability?.
The number of the students should be sampled to be within 0.25 alcoholic drinks of population mean with 95% probability is 62.
What is termed as the Margin of error?The margin of error measures the degree of uncertainty in the parameter estimates of parameter results.The reliability of a estimates decreases as the margin of sample error increases.α is the result of subtracting one from confidence interval as well as dividing by two.
α = (1 - 0.95) ÷ 2 = 0.25
Find z in the Z-table because z does have a p-value of 1 - α.
As a result, the p-value of z is (1 - 0.025) = 0.975.
Thus, z = 1.96
Now find M as;
M = z × (σ ÷ √n)
In which,
n is the sample size σ = population standard deviation.When M = 1,
The standard deviation, in accordance with the question, is approximately 1.
σ = 1
M = z × (σ ÷ √n)
0. 25 = 1.96 × (1 ÷ √n)
√n = 1.96 × (1 ÷ √n)
Squaring both sides,
(√n)² = ((1.96 × 1) ÷ 0.25)²
n = (7.84)²
n = 61.4656
n ≈ 62
Thus, the number of the students should be sampled to be within 0. 25 alcoholic drink of population mean with 95% probability is 62.
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Christopher earns $5.80 an hour and time-and-a-half for all hours worked over 40 hours. How much did he earn the week he worked 44.5 hours?
Answer:
$271.15
Step-by-step explanation:
Assuming that "time-and-a-half for all hours worked over 40 hours" means that all time spent past that is 1.5X the paycheck, then its 40 times 5.80=$232. then (5.8 times 1.5) times 4.5 = $39.15
$232+$39.15=$271.15
Travis is compiling a list of cities that had a temperature colder than 6°F below zero for the month of January. Which cities from the table above would Travis include on his list? A. Chicago, St. Paul, Fargo, and Bismarck B. Chicago only C. St. Paul, Fargo, and Bismarck D. Fargo and Bismarck
Help asap please :]
Travis should include A. Chicago, St Paul, Bismarck and Fargo on his lost because these cities had temperature of 6°F below zero for the month of January.
The only countries which Travis is including on his list are those which has a temperature of 6 degrees Fahrenheit below zero in the month of January.
The correct choices are provided in the option A.
He should include Chicago, St. Paul, Fargo and Bismarck.
He should add these cities because they all had temperature of 6 degrees Fahrenheit below zero for the month of January.
These cities are very cold because of their geological location.
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write an equation for the line shown on the right. answer needs to be in slope-intercept form.
Given:
A linear graph
To find:
the equation of the line
The formula for linear equation is given as:
y = mx + b
m = slope
b = y-intercept
We need to get the slope and y-intercept of the line. To get the slope, two points will be picked on the line
Using points: (-8, -1) and (0, 2)
[tex]\begin{gathered} slope\text{ = }m\text{ = }\frac{y_2-y_1}{x_2-x_1} \\ x_1=-8,y_1=-1,x_2=0,y_2\text{ = 2} \\ m\text{ = }\frac{2-(-1)}{0-(-8)}=\frac{2+1}{0+8} \\ m\text{ = 3/8} \end{gathered}[/tex]The y-intercept is the value of y when x = 0. On the graph, it is the value of y when the line crosses or touches the y-axis.
The line crosses the y axis at y = 2
b = y-intercept = 2
The equation of the line in slope-intercept form becomes:
[tex]y\text{ = }\frac{3}{8}x\text{ + 2}[/tex]