Answer:
It is a well formed formula
Step-by-step explanation:
1 - p,q,r are well formed formulas.
2 - [tex]p \ \lor \ q[/tex] is a well formed formula as well.
3 - [tex]\neg r[/tex] is a well formula as well
4 - [tex](\ p \ \lor \ q) \ \land \ \neg r[/tex] is a well formula as well.
Two angles are supplementary. Angle A is twice as large as angle B. What is the measure of each angle ?
When using the Distance Formula, the solution is the perimeter of a polygon.
true or false?
Answer:
false
Step-by-step explanation:
When solving the distance formula it is the distance from one point to another. If you had a rectangle and used the distance formula from each point then you would have a perimeter
Yesterday a car rental agency rented 237 vehicles, of which 51 were sport utility vehicles.
What is the experimental probability that the first vehicle rented today will be a sport utility
vehicle?
Write your answer as a fraction or whole number.
P(sport utility vehicle)
Submit
Next up
Dong for now? Try these next:
Answer:
21.5%
Step-by-step explanation:
51 divided by 237 to get percentage (237*.215% = 51)
What is the length of in the right triangle below?
A.
150
B.
25
C.
D.
625
Answer:
25
Step-by-step explanation:
We can use the Pythagorean theorem to solve
a^2 + b^2 = c^2
We know the two legs and want to find the hypotenuse
15^2+ 20 ^2 = c^2
225 + 400 = c^2
625 = c^2
Taking the square root of each side
sqrt(625) = c^2
25 = c
Solve the System of equations.
Answer:
x=9y=12Step-by-step explanation:
Plug x as 2y-15 in the first equation and solve for y.
-5(2y-15)+4y=3
-10y+75+4y=3
-6y+75=3
-6y=-72
y=12
Plug y as 12 in the second equation and solve for x.
x=2(12)-15
x=24-15
x=9
Find x.................
Answer:
90°
Step-by-step explanation:
Theres a right angke beside x
And Angles on a straight line = 180 so 180-90°= 90°
Answer:
90
Step-by-step explanation:
I looked it up on the internet
A motorcycle stunt rider jumped across the Snake River. The path of his motorcycle was given
approximately by the function H(1) 0.0004.x2 + 2.582 + 700, where H is measured in
feet above the river and is the horizontal distance from his launch ramp.
How high above the river was the launch ramp?
What was the rider's maximum height above the river, and how far was the ramp when he reached maximum height?
Correct question:
A motorcycle stunt rider jumped across the Snake River. The path of his motorcycle was given
approximately by the function H(t) = - 0.0004.x2 + 2.582 + 700, where H is measured in
feet above the river and is the horizontal distance from his launch ramp.
How high above the river was the launch ramp?
What was the rider's maximum height above the river, and how far was the ramp when he reached maximum height?
Answer:
A) 700 feet ; 4866.7025 feet above the river
3227.5 Feets from the ramp
Step-by-step explanation:
Given the Height function:
H(t) = 0.0004x^2 + 2.582x + 700
H = height in feet above the river
x = horizontal distance from launch ramp.
How high above the river was the launch ramp?
H(t) = - 0.0004x^2 + 2.582x + 700
To find height of launch ramp above the river, we set the horizontal distance to 0, because at this point, the motorcycle stunt rider is on the launch ramp and thus the value of H when x = 0 should give the height of the launch ramp above the river.
At x = 0
Height (H) =
- 0.0004(0)^2 + 2.582(0)+ 700
0 + 0 + 700 = 700 Feets
B) Maximum height abive the river and how far the rider is from the ramp when maximum height is reached :
Taking the derivative of H with respect to x
dH'/dx = 2*-(0.0004)x^(2-1) + 2.582x^(1-1) + 0
dH'/dx = 2*-(0.0004)x^(1) + 2.582x^(0) + 0
dH'/dx = - 0.0008x + 2.582
Set dH'/dx = 0 and find x:
0 = - 0.0008x + 2.582
-2.582 = - 0.0008x
x = 2.582 / 0.0008
x = 3227.5 feets
To get vertical position at x = 0
Height (H) =
- 0.0004(3227.5)^2 + 2.582(3227.5)+ 700
- 4166.7025 + 8333.405 + 700
= 4866.7025 feet
4866.7025 feet above the river
3227.5 Feets from the ramp
Using quadratic function concepts, it is found that:
The launch ramp was 700 feet above the river.The maximum height is of 4866.7 feet.The ramp was 3227.5 feet along when he reached maximum height.The height after x seconds is given by the following equation:
[tex]H(x) = -0.0004x^2 + 2.582x + 700[/tex]
Which is a quadratic equation with coefficients [tex]a = -0.0004, b = 2.582, c = 700[/tex]
The height of the ramp is the initial height, which is:
[tex]H(0) = -0.0004(0)^2 + 2.582(0) + 700 = 700[/tex]
Thus, the launch ramp was 700 feet above the river.
The maximum height is the h-value of the vertex, given by:
[tex]h_{MAX} = -\frac{\Delta}{4a} = -\frac{b^2 - 4ac}{4a}[/tex]
Then, substituting the coefficients:
[tex]h_{MAX} = -\frac{(2.582)^2 - 4(-0.0004)(700)}{4(-0.0004)} = 4866.7[/tex]
The maximum height is of 4866.7 feet.
The horizontal distance is the x-value of the vertex, given by:
[tex]x_V = -\frac{b}{2a} = -\frac{2.582}{2(-0.0004)} = 3227.5[/tex]
The ramp was 3227.5 feet along when he reached maximum height.
A similar problem is given at https://brainly.com/question/24705734
29% of workers got their job through networking. A researcher feels this percentage has changed. Express the null and alternative hypotheses in symbolic form for this claim (enter as a percentage).
Answer: [tex]H_0:p=0.29[/tex]
[tex]H_a: p \neq0.29[/tex]
Step-by-step explanation:
A null hypothesis[tex](H_0)[/tex] is a type of statement used in statistics that proposes that there is no difference between particular characteristics of a population whereas the alternative hypothesis[tex](H_a)[/tex] proposes that there is a difference.
Let p be the population proportion of workers got their job through networking.
Given: 29% of workers got their job through networking.
i.e. [tex]H_0:p=0.29[/tex]
A researcher feels this percentage has changed.
i.e. [tex]H_a: p \neq0.29[/tex]
Hence, the required null and alternative hypotheses in symbolic form for this claim:
[tex]H_0:p=0.29[/tex]
[tex]H_a: p \neq0.29[/tex]
Find all of the angle measures in the image.
Answer:
Angle 2= 45
Angle 3= 45
Angle 4= 135
Angle 5= 135
Angle 6= 45
Angle 7= 45
Angle 8= 135
A storage basin is 1240 ft by 637 ft. It’s 15.63 ft deep. How many gallons of water is in the basin
Answer:
12345824.4
Step-by-step explanation:
I'm not really sure. I just did 1240x637x15.63=12345824.4
answer:
53,445.1 gallons of water
Step-by-step explanation:
im not exactly sure but i looked up how to calculate gallons in a container and the website i went to told me to measure the interior length, width, and height which was already done, then it told me to multiply the length by width by height to get the volume of the container then it told me to divide the volume by 231 to get the number of gallons in the container, so 1,240* 637= 789,880* 15.63= 12,345,824.4÷231= 53,445.127272727272727272727272727 which rounded to the nearest tenth is 53,445.1, i honestly hope that this is right and that it helps
Which of the following is the minor arc for the circle shown below?
A. AWR
B. AW
C. RAW
D. RA
Answer:
RA
Step-by-step explanation:
What is the y-value in the solution to this system of linear equations?
4x + 5y = -12
-2x + 3y = -16
-4.
-2
оооо
2
5
Answer:
y = -4
Step-by-step explanation:
4x + 5y = -12 ....eq1
-2x + 3y = -16 ...eq2
From eq1, solve for x:
4x + 5y = -12
4x = -12 - 5y
x = -12 - 5y/4
From eq2, substitute value of x:
-2(-12-5y/4) + 3y = -16
3y - 2 (-5y-12/4) = -16
3y - 2(-5y-12)/4 = -16
12y - 2(-5y - 12) = -16
4*3y - 4*2(-5y-12)/4 = 4*(-16)
12y - 2(-5y-12) = -64
12y + 10y + 24 = -64 (divide both sides by common factor 2)
6y + 5y + 12 = -32
11y = -32 - 12
11y = -44
Divide both sides by 11
11y/11 = -44/11
y = -4
Which represents the value of c?
1. What is the length of the shortest side if the perimeter of the rectangle is
56 inches?
3х
5х – 4
Answer:
Length of Shortest Side = 12 inches
Step-by-step explanation:
Length of Shortest Side = L = 3x
Length of Longest Side = W = 5x-4
Condition:
2L+2W = Perimeter
2(3x)+2(5x-4) = 56
6x+10x-8 = 56
16x-8 = 56
Adding 8 to both sides
16x = 56+8
16x = 64
Dividing both sides by 14
=> x = 4
Now,
Length of the Shortest Side = L = 3(4) = 12 inches
Length of the Longest Side = W = 5(4)-4 = 16 inches
Answer:
12 inches
Step-by-step explanation:
The length is the longest side.
The width is the shortest side.
Length : [tex]l=5x-4[/tex]
Width : [tex]w=3x[/tex]
Apply formula for the perimeter of a rectangle.
[tex]P=2l+2w[/tex]
[tex]P=perimeter\\l=length\\w=width[/tex]
Plug in the values.
[tex]56=2(5x-4)+2(3x)[/tex]
[tex]56=10x-8+6x[/tex]
[tex]56=16x-8[/tex]
[tex]64=16x[/tex]
[tex]4=x[/tex]
The shortest side is the width.
[tex]w=3x[/tex]
Plug in the value for x.
[tex]w=3(4)[/tex]
[tex]w=12[/tex]
A box contains 100 marbles, some of which are red and the rest blue. A sample of 10 marbles is taken randomly (with replacement) from the box and the statistic: number of red marbles in the sample is calculated. The probability model for this statistic is shown below. (Note: the probabilities should add to 1 - any difference from 1 is due to round-off errors.)
values probability
(%)
0 0.6047
1 4.0311
2 12.0932
3 21.4991
4 25.0823
5 20.0658
6 11.1477
7 4.2467
8 1.0617
9 0.1573
10 0.0105
a. Roughly, what is the shape of the probability model? Write the shape in a complete sentence
b. Calculate the center (mean) of the probability model. Use R as a calculator to calculate the mean. Write the mean in a complete sentence
c. Argue that 1.5 is a good guess for the standard deviation of the probability model. Write a brief answer
d. Suppose you repeat the experiment of sampling 10 randomly with replacement n times. Each time, you calculate the number of red marbles in your sample. Suppose you were to make a plot of the running means of the results, what would happen as n increases?
Step-by-step explanation:
a) The Roughly shape of the probability model is bell shaped or symmetric
( normal )
(b) Roughly, guess the center (mean) of the probability model
The mean is 5/10 =0.5
Because the symmetric distribution mean is middle bar and here we see using histogram 5/10 is mean .
(c) Argue that 1.5 is a good guess for the standard deviation of the probability model.
Yes 1.5 is very good guess because then it follow normal distribution it is exactly correct .
3(x+4)-1=-7 plz help
Answer:
x = -6
Step-by-step explanation:
3(x+4)-1=-7
Add 1 to each side
3(x+4)-1+1=-7+1
3(x+4)=-6
Divide by 3
3/3(x+4)=-6/3
x+4 = -2
Subtract 4 from each side
x+4-4 = -2-4
x = -6
Answer:
- 6Step-by-step explanation:
[tex]3(x + 4) - 1 = - 7[/tex]
Distribute 3 through the parentheses
[tex]3x + 12 - 1 = - 7[/tex]
Calculate the difference
[tex]3x + 11 = - 7[/tex]
Move constant to R.H.S and change it's sign
[tex]3x = - 7 - 11[/tex]
Calculate
[tex]3x = - 18[/tex]
Divide both sides of the equation by 3
[tex] \frac{3x}{3} = \frac{ - 18}{3} [/tex]
Calculate
[tex]x = - 6[/tex]
hope this helps
Best regards!!
(x*129)-3=126 what is x
Answer:
x should equal 1
Step-by-step explanation:
(1*129)-3=126
129-3=126
126=126
Answer:
x=1
Step-by-step explanation:
We can start by adding 3 to both sides to get rid of the -3
That leaves us with 129x=129
It ends up working out really evenly because by dividing both sides by 129, we are left with x=1
What is 0.09% written as a decimal?
A. 0.9
B. 0.009
C. 0.0009
D. 0.09
Answer:
C. 0.0009
Step-by-step explanation:
0.09/100
= 0.0009
Answer:A
Step-by-step explanation:0.09=0.9
Rotation
The triangle DEF with vertices D (-4, 4), E (-1, 2), F (-3, 1). Graph the figure and its image after a 90 ° clockwise rotation about its origin.
Answer:
Step-by-step explanation:
The vertices of the already rotated triangle are:
D '(4, 4)
E '(1, 3)
F '(2, 1)
Answer:
D '(4, 4)
E '(1, 3)
F '(2, 1)
Step-by-step explanation:
Each of the following linear equations defines y as a function of x for all integers x from 1 to 100. For which of the following equations is the standard deviation of the y-values corresponding to all the x-values the greatest?
a) y = x/3
b) y = x/2+40
c) y = x
d) y = 2x + 50
e) y = 3x − 20
Answer:
Option E
Step-by-step explanation:
y = x /3
let x = 1, 2, 3
y = 0.333, 0.667, 1
y = x/2 + 40
let x = 1, 2, 3
y = 40.5, 41, 41.5
y = x
let x = 1, 2, 3
y = 1, 2, 3
y = 2x + 50
let x = 1, 2, 3
y = 52, 54, 56
y = 3x - 20
let x = 1, 2, 3
y = -17, -14, -11
The standard deviation is the spread of data, the data that is most spread is option E.
Find the value of x, rounded to the nearest tenth.
Answer:
x = 8.9 units
Step-by-step explanation:
We will use the theorem of intersecting tangent and secant segments.
"If secant and tangent are drawn to a circle from an external point, the product of lengths of the secant and its external segment will equal the square of the length of tangent."
8(8 + 2) = x²
x² = 80
x = √80
x = 8.944
x ≈ 8.9 units
Therefore, length of the tangent = 8.9 units
A cosine function is graphed below. Use the drop-down menus to describe the graph. The amplitude of the graph is __ . The equation of the midline is __ . The period of the function is __ . The function is shifted __ left. The function is shifted __ units up.
Amplitude:4
Equation of Midline: 2
Period of function:3
Function shifted left:0.5
Function shifted up: 2
From the graphed cosine function we are given, we have;
1) Amplitude = 4
2) Equation of midline; m = 2
3) Period of the function = 3π
4) The function shifted 0.5 units left.
5) The function shifted 2 units up.
1) The amplitude is the distance between the center line and the positive or negative peak of the graph. Now, the positive peak is 6 and the negative one is 2. Thus, Amplitude = 6 - 2 = 42) Equation of the midline is the line that divides the entire sinusoidal curve into 2 equal parts along the x-axis. Since amplitude is 4, then the equation of midline is; m = 4/2 ; m = 2.3) The period is the time it takes for the graph to repeat or complete one cycle and in this graph, it is 3π.4) Looking at the graph, ideally the coordinate (-0.5π, 6) should have been on the y-axis which is at (0π, 6). This means it was shifted by 0.5 units to the left side.5) The positive peak should be equal to the negative peak but in this case, positive is 6 and negative is 2. This means, for them to be equal, they have to each be 4. Thus, the graph was shifted by 2 units upwards .Read more; https://brainly.com/question/16280305
The hypotenuse of an isosceles triangles measures 10 inches long. What is the length of one leg of the triangle?
For any isosceles right triangle (aka 45-45-90 triangle), the hypotenuse is always equal to sqrt(2) times the leg. If x is the leg and y is the hypotenuse, then
[tex]y = x*\sqrt{2}[/tex]
which solves to
[tex]x = \frac{y}{\sqrt{2}}[/tex]
from here we plug in the given hypotenuse y = 10 to get the final answer. Optionally we could rationalize the denominator, but your teacher has chosen not to.
Answer:b
On edge
Step-by-step explanation:
help please winth this will give bralienst
Answer:
1rst way they give is CORRECT WAY
The rest of the options are the INCORRECT WAY.
Step-by-step explanation:
When you do 620*7 + 6 = 4376 is the answer you get.
When you do the other math - you do not get the same initial value.
a.Find the L.C.M of 18, 40, and 75.
Answer:
1800
Step-by-step explanation:
Hello,
First of all we need to find the prime factorisation of the numbers.
18 = 2 * 3 * 3
40 = 2 * 2 * 2 * 5
75 = 3 * 5 * 5
It means that the LCM should have 5 * 5 , 2 * 2 * 2 and 3 * 3
Then LCM = 3 * 3 * 2 * 2 * 2 * 5 * 5 = 1800
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Answer:
1800
Step-by-step explanation:
→ First of all we need to find the prime factorisation of the numbers.
18 = 2 × 3 × 3 or 2 × 3²
40 = 2 × 2 × 2 × 5 or 2³ × 5
75 = 3 × 5 × 5 or 5² × 3
→ Now find the number that appear twice or more and write them down
3 and 3 from 18
2, 2 and 2 from 40
5 and 5 from 75
→ Now multiply all of these numbers together
3 × 3 × 2 × 2 × 2 × 5 × 5 = 3² × 2³ × 5² = 1800
Thank you for the help!!
Answer:
B. 5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
You know that the empty barrel is 1/4 of the full barrel. Find 1/4 of 20 to get 0.25 x 20 = 5
Every year the United States Department of Transportation publishes reports on the number of alcohol related and non-alcohol related highway vehicle fatalities. Below is a summary of the number of alcohol related highway vehicle fatalities from 2001 to 2010.
Line graph about Alcohol related fatalities
Determine the average number of alcohol-related fatalities from 2001 to 2006. Round to the nearest whole number.
Complete question:
The line graph relating to the question was not attached. However, the line graph has can be found in the attachment below.
Answer:
17,209
Step-by-step explanation:
The line graph provides information about alcohol-related highway fatalities between year 2001 to 2010.
Determine the average number of alcohol-related fatalities from 2001 to 2006. Round to the nearest whole number.
The average number of alcohol related fatalities between 2001 - 2006 can be calculated thus :
From the graph:
Year - - - - - - - - - - Number of fatalities
2001 - - - - - - - - - - 17401
2002 - - - - - - - - - 17525
2003 - - - - - - - - - 17013
2004 - - - - - - - - - 16694
2005 - - - - - - - - - 16885
2006 - - - - - - - - - 17738
To get the average :
Sum of fatalities / number of years
(17401 + 17525 + 17013 + 16694 + 16885 + 17738) / 6
= 103256 / 6
= 17209.333
Average number of alcohol related fatalities is 17,209 (to the nearest whole number)
The doubling time of a cityʹs population is 8 years. How long does it take for the population to quadruple.
Answer:
16 Years
Step-by-step explanation:
which of the binomials below is a factor of this trinomial? 8x^2 + 10x-3
Answer:
The factors are (4x-1) and (2x+3)
Step-by-step explanation:
The factors of 8x^2 + 10x -3 can be found by grouping terms
8x^2 - 2x + 12x - 3
2x (4x -1) + 3(4x-1)
(4x-1)(2x+3)
6.3.67 x 10-3 is equivalent to:
A. 0.03267
B. 3.35.7
C. 0.003267
D. 3267