How do u write 2(18+w)<=46 in words
Answers
Answer:
Step-by-step explanation:
2 ( 18 + w) ≤ 46 in words:
Twice the sum of 18 and w is less or equal than 46.
Related Questions
Model the data in the table with a linear equation
in slope-intercept form. Then tell what the slope and y-intercept
represent.
Write the linear equation in slope-intercept form.
y =
(Use integers or decimals for any numbers in the expression.)
Time Worked, Wages Earned
x (h)
1
3
6
9
y (S)
8.00
24.00
48.00
72.00
Answers
The data in the table can be modeled by this linear equation in slope-intercept form: y = 8x - 5.
The slope is 8, which means the wages earned increases at rate of 8 dollars per hour as the time increases.
The y-intercept is -5 and it represent the initial wages earned.
How to determine an equation of this line?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is represented by this mathematical expression;
y = mx + c
Where:
m represent the gradient, slope, or rate of change.x and y represent the data points.c represent the vertical intercept.First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (24.00 - 8.00)/(3 - 1)
Slope (m) = 16.00/2
Slope (m) = 8
At data point (1, 3), a linear equation in slope-intercept form for this line can be calculated as follows:
y - y₁ = m(x - x₁)
y - 3 = 8(x - 1)
y = 8x - 8 + 3
y = 8x - 5
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Are your finances, buying habits, medical records, and phone calls really private? A real concern for many adults is that computers and the Internet are reducing privacy. A survey conducted by Peter D. Hart Research Associates for the Shell Poll was reported in USA Today. According to the survey, 49% of adults are concerned that employers are monitoring phone calls. Use the binomial distribution formula to calculate the probability of the following.
(a) Out of five adults, none is concerned that employers are monitoring phone calls. (Round your answer to three decimal places.)
Incorrect: Your answer is incorrect.
(b) Out of five adults, all are concerned that employers are monitoring phone calls. (Round your answer to three decimal places.)
(c) Out of five adults, exactly three are concerned that employers are monitoring phone calls. (Round your answer to three decimal places.)
Answers
Answer:
We can use the binomial distribution formula to calculate the probabilities in this scenario. The formula is:
P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)
where:
P(X = k) is the probability of getting k successes
n is the total number of trials
p is the probability of success in each trial
(n choose k) is the binomial coefficient, which can be calculated as n! / (k! * (n - k)!)
(a) Out of five adults, none is concerned that employers are monitoring phone calls.
Here, k = 0 (zero successes), n = 5, and p = 0.49 (the probability of success).
Using the binomial distribution formula:
P(X = 0) = (5 choose 0) * 0.49^0 * (1 - 0.49)^(5 - 0) = 0.105
So the probability of none of the five adults being concerned is 0.105, or approximately 0.105.
(b) Out of five adults, all are concerned that employers are monitoring phone calls.
Here, k = 5 (all successes), n = 5, and p = 0.49.
Using the binomial distribution formula:
P(X = 5) = (5 choose 5) * 0.49^5 * (1 - 0.49)^(5 - 5) = 0.013
So the probability of all five adults being concerned is 0.013, or approximately 0.013.
(c) Out of five adults, exactly three are concerned that employers are monitoring phone calls.
Here, k = 3, n = 5, and p = 0.49.
Using the binomial distribution formula:
P(X = 3) = (5 choose 3) * 0.49^3 * (1 - 0.49)^(5 - 3) = 0.270
So the probability of exactly three adults being concerned is 0.270, or approximately 0.270.
Which rate describes a unit price?
0 $0.01 for 12 seconds
0 $0.25 for 5 minutes
0 $1.00 for 4 hours
0 $5.00 for 1 day
Answers
Answer:
the third one
Step-by-step explanation:
Circle Project 1. Draw a point at (1, -2) 2. Draw an 8-unit long radius 3. Using a compass, Draw a circle with your point from step one as your center and the point from step two as the side. 4. Using a protractor, draw a 70 degree arc 5. Draw a central angle which intercepts your arc 6. Draw an inscribed angle which intercepts a 40 degree arc 7. Draw a tangent line 8. Draw a secant line 9. Write the equation of your circle.
Answers
Answer:
I can explain how to complete each of the steps you have provided.
1. Draw a point at (1, -2)
This is a simple step. Just mark a dot on your paper at the coordinates (1, -2).
2.
Draw an 8-unit long radius
Using your compass, set the radius to 8 units. Place the compass on the point you drew in step 1 and draw a circle around it, making sure that the radius is 8 units long.
3. Using a compass
Draw a circle with your point from step one as your center and the point from step two as the side: This step is already completed in step 2.
4. Using a protractor draw a 70 degree arc
Place your protractor on the center of the circle (the point you drew in step 1) and draw a 70 degree arc on the circle.
5. Draw a central angle which intercepts your arc
Use a straight edge to draw a line from the center of the circle to each endpoint of the arc you drew in step 4. This creates a central angle, which is an angle whose vertex is at the center of the circle and whose sides intercept the circle.
6. Draw an inscribed angle which intercepts a 40 degree arc
Use a straight edge to draw a line from one endpoint of the 70 degree arc to the other endpoint. Then, draw a perpendicular bisector of this line, which intersects the center of the circle. This creates a 40 degree arc on the circle. Draw a line from the center of the circle to one endpoint of the 40 degree arc, and draw a line from that endpoint to the other endpoint of the 40 degree arc. This creates an inscribed angle, which is an angle whose vertex is on the circle and whose sides intercept the circle.
7. Draw a tangent line
Choose a point on the circle that is not on the 70 degree arc. Draw a line from that point tangent to the circle.
8. Draw a secant line
Choose two points on the circle that are not on the 70 degree arc. Draw a line through those points, which intersects the circle at two points.
9. Equation of your circle
The equation of a circle with center (a,b) and radius r is (x-a)^2 + (y-b)^2 = r^2. Using the coordinates of the center from step 1 and the radius from step 2, the equation of the circle is (x-1)^2 + (y+2)^2 = 64.
How many commutes are exactly 68 minutes
Answers
Answer:
three
Step-by-step explanation:
stem. is the tens place and the leaf is the. ones place
so you want to find 68 so you look in the stem column and look for six
in the row there are 6 numbers which mean:
60, 61, 67, 68, 68, 68
as you can see there is three 68 there for the answer ths 3
A car travels along a straight road for 30 seconds starting at time t = 0. Its acceleration in ft/sec2 is given by the linear graph below for the time interval [0, 30]. At t = 0, the velocity of the car is 0 and its position is 10.
What is the velocity of the car when t = 6? Please show your work and include units in your answer.
Answers
The velocity experimented by the car is equal to - 1 feet per second.
What is the velocity of a car at a given time?
Herein we have the graph of the position of the car (y), in feet, versus time (t), in seconds. The graph shows a linear equation, that is, the position is described by a polynomial of the form:
y = m · t + b
Then, the functions for the velocity and acceleration are shown below:
Velocity
dy / dt = m
The slope represents the velocity of the car.
Acceleration
d²y / dt² = 0
Then, the velocity of the car is found by means of the secant line formula:
dy / dt = (0 ft - 10 ft) / (10 s - 0 s)
dy / dt = - 1 ft / s
The velocity of the car is - 1 feet per second.
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What is the total weight of 6 bags of groceries
Answers
Answer:
7.5KG
Step-by-step explanation:
holaaaaaaaaaaaaaaaaa plz help i need this quick :)
Quadrilateral ARMY is rotated 90 degrees about the origin. Draw the image of this rotation.
Answers
Answer:
Step-by-step explanation:
If a point (x, y) is rotated 90° counterclockwise about the origin, rule for the rotation will be,
(x, y) → (-y, x)
Therefore, coordinates of the image point after the rotation will be (-y, x).
Following this rule,
Image points of the quadrilateral will be,
A(3, 3) → A'(-3, 3)
R(5, 7) → R'(-7, 5)
M(7, 5) → M'(-5, 7)
Y(5, 1) → Y'(-1, 5)
By graphing the image points we can get the graph of the image quadrilateral A'R'M'Y'.
Answer:
I got my answer on Khan Academy:
8 + 4x > 12solve inequality
Answers
You have the following inequality:
8 + 4x > 12
in order to solve the previous inequality, proceed as follow:
8 + 4x > 12 subtract 8 both sides
4x > 12 - 8
4x > 4 divide by 4 both sides
x > 1
Hence, the solution to the given inequality is x > 1
Solve each equation for 0 degrees < x < 360 degrees.
Sqrt 2 cos x + 1 = 0
A.45,315
B.115,245
C.135,225
D.46, 314
Please Help ASAP!
Answers
Answer:
120 degrees and 330 degrees
Step-by-step explanation:
Solve each equation for 0 degrees < x < 360 degrees.
Sqrt 2 cos x + 1 = 0
A.45,315
B.115,245
C.135,225
D.46, 314
Please Help ASAP!
Given the expression √(2cosx+1) = 0
Square both sides of the equation;
√(2cosx+1) = 0
2cosx + 1 = 0
2cosx = -1
cos x = -1/2
x = cos^-1(-1/2)
x = -60 degrees
Since cos is negative in the 2nd and 3rd quadrant then;
x = 180-60 = 120 degrees (2nd quadrant)
x = 270+60 = 330 degrees (3rd quadrant)
Answer:It C
Step-by-step explanation:
3pi/4 = 135 , 5pi/4 += 225
The coordinates on a map for City A are
(53, 12)
and those for City B are
(123, 68).
Note that coordinates represent miles. Find the distance between the cities to the nearest mile.
Answers
Answer:
89.64 miles.
That's the answer
A gamer is observing her acore, y, as she plays a video game. She currently has 4,200 points and is gaining 250 points for every minute, x, she plays.
Which of the following equations can be used to describe this linear relationship
A. y = 250x - 4,200
B. y = 250x + 4,200
C. y = 4,200x - 250
D. y = 4,200x + 250
Answers
-7 (1 + 3x) please help asap
Answers
Answer:
= −21x−7
Step-by-step explanation:
−7(1+3x)
=(−7)(1+3x)
=(−7)(1)+(−7)(3x)
=−7−21x
= −21x−7
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We are asked to multiply -7 by (1+3x)
All we have to do is multiply -7 by 1 and 3x:
-7-21x
I have used the Distributive Property to solve this problem.
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Unions, intersections, and complements involving 2 sets
Sets B and C are subsets of the universal set U.
These sets are defined as follows.
U={f, k, m, s, x, y, z)
B={k, s, y}'
C={s,z}
(a) B'UC' = 1
(b) B'nc =
Answers
Intersection of B'∩C = {k, y}
To find the intersection of B' and C, we need to first find the complement of set B (B') and then find the intersection between B' and C.
1. Complement of set B (B'):
The complement of set B (B') consists of all elements in the universal set U that are not in set B. From the given information, set B is defined as {k, s, y}', which means it contains all elements in U except for k, s, and y. Therefore, the complement of set B is {f, m, x, z}.
2. Intersection between B' and C:
Now, we need to find the intersection between B' (complement of B) and set C. From the given information, set C is defined as {s, z}. To find the intersection, we need to identify the common elements between B' and C.
The elements present in both B' and C are k and y. Therefore, the intersection of B' and C is {k, y}.
So, the answer to (b) is B'∩C = {k, y}.
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S(x)=5x+5
T(x)=_3x +4
The value of t(s(2))
Answers
Answer:
Step-by-step explanation:
This is a composite function, in which we will first evaluate the s function at a value of 2, then we will use that value in the t function.
s(2) = 5(2)+ 5 so
s(2) = 15. Now we evaluate the t function at 15:
t(15) = 3(15) + 4 so
t(15) = 49
Statistics 1
You are buying uniforms for young male military recruits. You know the mean chest size and the standard deviation of the chest size. About what proportion of the chest sizes of the recruits would you expect to be within one standard deviation of the mean chest size? Choose the best answer below
A. 50%, if the mean chest size is Normally distributed
B. 2/3
C. 50%, if the chest sizes are Normally distributed
D. 68%, if the chest sizes are Normally distributed
E. 95%
Answers
3 lines intersect to form 5 angles. Clockwise, from top left, the angles are B = question mark, 90 degrees, C = question mark, D = 124 degrees, A = question mark. What is the value of m∠A + m∠B? °
Answers
Answer:
The answer is 90 degrees
Step-by-step explanation:
Both A and B make a right angle, which is 90 degrees.
Hope it helped :)
The value of m∠A + m∠B is 90°
What are vertically opposite angles?It is defined as the angles when two lines intersect each other and at the intersecting point, some pair of angles are formed which we call vertically opposite angles, as the name describes that they have vertically opposite angles.
Three lines intersect to form 5 angles such that:
From the top left ∠B made and after this 90° made.
∠D = 124°
From the figure, we can clearly see ∠A = ∠C (vertically opposite angles)
We can calculate ∠C = 360°-90°-90°-124° ⇒ 56°
Also ∠A = 56°
and ∠B = 90° - 56° ⇒ 34°
Now we can calculate the sum of the angle ∠A+∠B = 56+34 ⇒ 90°
Thus, the value of m∠A + m∠B is 90°
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Find the length of the line joining A (3,5) and B (1,3)
Answers
Answer:
2√2 units.
Step-by-step explanation:
To find the length of the line joining points A(3, 5) and B(1, 3), we can use the distance formula. The distance formula is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Substituting the coordinates of points A and B into the formula, we have:
d = sqrt((1 - 3)^2 + (3 - 5)^2)
= sqrt((-2)^2 + (-2)^2)
= sqrt(4 + 4)
= sqrt(8)
= 2sqrt(2)
Therefore, the length of the line joining points A and B is 2√2 units.
Henrieta drove 250 miles in 4 hours. How much miles did she drive in 10 minutes?
Answers
Answer:
625 miles
Step-by-step explanation:
250/4=62.5
62.5*10 = 625
Answer:
Below.
Step-by-step explanation:
There are 6 * 10 minutes in 1 hour and 4*6 = 24 10minutes in 4 hours.
So in 10 minutes she travels 250 / 24
= 10.417 miles to nearest thousandth.
North Dakota has 465 campgrounds over 12 counties while West Virginia has 711 campgrounds. If North Dakota was proportional to West Virginia in the number of campgrounds to counties, how many counties would West Virginia be expected to have? Round to the nearest whole number.
Answers
Number of countries would west Virginia be expected to have is 18 countries
The number of campgrounds that North Dakota has = 465 campgrounds
The number of countries = 12 countries
The number of campgrounds that West Virginia has = 711 campgrounds
Given that the North Dakota was proportional to West Virginia in the number of campgrounds to counties.
The proportion will be
465 / 12 = 711 / x
Divide the terms
38.75 = 711 / x
x = 711 / 38.75
Divide the terms
x = 18.4
x ≈ 18 countries
Hence, number of countries would west Virginia be expected to have is 18 countries
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Please someone help me I rlly don’t get this I’ll give you like 40 points
Answers
Answer:
Step-by-step explanation:
H(n)=91x(-1/7) n-1
do not know
Hope it helps the answer is the 2nd one have a great day
A package of 25 fishing hooks costs $9.95 , while a package with 40 hooks costs $13.99 . Which is the better buy? Round your answer to the nearest cent if necessary.
Answers
Therefore, the package with 40 hooks is the better buy in terms of cost efficiency.
To determine which package is the better buy, we need to compare the cost per hook for each package.
For the package of 25 hooks costing $9.95, we divide the total cost by the number of hooks:
Cost per hook = $9.95 / 25 = $0.398
Rounding to the nearest cent, the cost per hook is $0.40.
For the package of 40 hooks costing $13.99, we divide the total cost by the number of hooks:
Cost per hook = $13.99 / 40 = $0.3498
Rounding to the nearest cent, the cost per hook is $0.35.
Comparing the two costs per hook, we can see that the package with 40 hooks for $13.99 offers a better deal, as the cost per hook is lower at $0.35.
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2.
(05.03)
An irregular polygon is shown below:
Image of irregular polygon with length of 9 units and height of 4 units labeled on the left side. The top side length of 4 units, the side adjacent to it on the right is 2 units.
The area of the irregular polygon is
square units. (4 points)
Answers
Answer:
I tried looking it up, and i found 15 square units. sorry if its wrong :(
Step-by-step explanation:
Which of the following is not a rate?
A florist charges $36 for a dozen roses.
A florist charges $36 for a dozen roses.
The number of roses in a special Valentine's Day bouquet is 18.
The number of roses in a special Valentine's Day bouquet is 18.
The florist pays his employees $12.25 per hour.
The florist pays his employees $12.25 per hour.
The employee at the florist works 40 hours a week.
Answers
Answer:
I am pretty sure it is The number of roses in a special Valentine's Day bouquet is 18.
Which ordered pairs are solutions to the equation 3x+12y=2?
Select the correct answer below:
A. (7,10)
B. (-8,-8)
C. (-7,4)
D. (-2,-4)
E. none of the above
Answers
Answer:
E
Step-by-step explanation:
Substitute each point into the equation to test whether they would equate to 2. Point a equates to 141, point b to -120, c to 27 and d to -54. Therefore, none of the points would correctly balance/be solutions to the equation
The solutions to the equation 3x + 12y = 2 is the option E. none of the above.
What is Equation?Equations are the mathematical expressions which consist of two expressions including one or more variables connected with an equal to sign.
We have to find the solution of the equation 3x + 12y = 2.
Substitute each ordered pairs given.
A. (7, 10)
(3 × 7) + (12 × 10 ) = 21 + 120 ≠ 2
B. (-8, -8)
(7 × -8) + (12 × -8) ≠ 2
C. (-7, 4)
(3 × -7) + (12 × 4) = -21 + 48 ≠ 2
D. (-2, -4)
(3 × -2) + (12 × -4) ≠ 2
So none of the ordered pairs satisfies the given equation.
Hence there is no solutions for the given equation in the options.
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Can someone please help me with this
Answers
Answer:
D
Step-by-step explanation:
the lines are perpendicular if the slopes are negative reciprocals of each other.
If the slope of the first line is -1/3 then the negative reciprocal is 3
y=3x+b
we know that when x=2 y=1 which we can use to solve for b
1=3*2+b
b= -5
thus our final equation is
y=3x-5
Does anyone know what this is!? Or have got this question too please help me:(
Answers
The perimeter of the triangle shown is 225 feet, find the length of each side
X feet = How many Feet?
5x feet = how many feet?
(6x - 3) feet = for many feet?
Answers
Answer:
I have solved it and attached in the explanation.
Step-by-step explanation:
Use the number line below, where , RS=6y+2, ST=15y+9 and RT=5y-13. Find
the value of RS, ST, and RT *
Answers
Answer:
RS = - 7
ST = - 13.5 = - 13½
RT = - 20.5 = - 20½
Step-by-step explanation:
From the question given above, the following were obtained:
RS = 6y + 2
ST = 15y + 9
RT = 5y - 13
To obtain RS, ST and RT, we must first obtain the value of y. This can be obtained as follow:
From diagram above, it is evident that:
RT = RS + ST
RS = 6y + 2
ST = 15y + 9
RT = 5y - 13
5y - 13 = 6y + 2 + 15y + 9
5y - 13 = 6y + 15y + 2 + 9
5y - 13 = 21y + 11
Collect like terms
5y - 12y = 11 + 13
- 16y = 24
Divide both side by - 16
y = 24/ - 16
y = - 1.5
Finally, we shall determine RS, ST and RT as follow:
RS = 6y + 2
y = - 1.5
RS = 6(-1.5) + 2
RS = - 9 + 2
RS = - 7
ST = 15y + 9
y = - 1.5
ST = 15(-1.5) + 9
ST = - 22.5 + 9
ST = - 13.5 = - 13½
RT = 5y - 13
y = - 1.5
RT = 5(-1.5) - 13
RT = - 7.5 - 13
RT = - 20.5 = - 20½
A ship leaves port on a bearing of 36.0° and travels 12.1 mi. The ship then turns due east and travels 6.1 mi. How far is the ship from port, and what is its bearing
Answers
The bearing angle exists 53.49°.
How to estimate the bearing angle of a ship?A bearing of 36° corresponds to the corresponding angle of
θ = 90 -36 = 54°
The (x, y) values for the position of the ship after achieving its first heading exist:
\(x_1\) = 12.1 Cos 54° = 7.11 m
\(y_1\) = 12.1 Sin 54° = 9.78 m
Our second displacement exists a simple 4.6 mi due east, that exists, the positive x-direction. The components exist therefore
\(x_2\) = 6.1 mi
\(y_2\) = 0 mi
To find the total displacement from the port, we'll add these two vectors' components and use the distance formula:
Δx \(= x_1+x_2\)
= 7.11 mi + 6.1 mi = 13.21 mi
Δy \(=y_1+y_2\)
= 9.78 mi + 0 mi = 9.78 mi
\($r=\sqrt{(x_{total})^2+(y_{total})^2}\)
\(=\sqrt{(13.21mi)^2+(9.78mi)^2}\)
= 16.43 mi
The direction of the displacement vector exists given by
tan θ = Δy/Δx
θ = arc tan (Δy/Δx)
= arc tan (9.78/13.21)
= 36.51°
The question requested for the bearing angle, which exists just this angle subtracted from 90°:
90° - 36.51° = 53.49°.
Therefore, the bearing angle exists 53.49°.
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