Answer:
0 or 1.110838652
Step-by-step explanation:
6. The octopus was swimming 3 feet below the surface. If the octopus swam up 3
feet? Represent the octopus location using an integer.*
Answer:
Octopus Location: 0
Step-by-step explanation:
If the octopus was swimming 3 ft below the surface, it's considered -3.
The octopus then swam up 3 feet, so we add 3 to the -3 from the previous statement.
-3 + 3 = 0
One number is 4 less than a second number. Twice the second number is 13 less than 5 times the first. Find the two numbers.
Answer:
7 , 11
Step-by-step explanation:
Let the second number be 'x'
the first number = x - 4
Twice the second number : 2*x = 2x
5times first = 5*(x -4) = 5*x - 5*4 = 5x - 20
13 less than 5 times the first = 5x - 20 - 13 = 5x - 33
5x - 33 = 2x
Add 33 to both sides
5x - 33 + 33 = 2x +33
5x = 2x + 33
Subtract '2x'from both sides
5x - 2x = 2x - 2x + 33
3x = 33
Divide both sides by 3
[tex]\frac{3x}{3}=\frac{33}{3}[/tex]
x = 11
First number = x - 4 = 11 - 4 = 7
The numbers are 7 , 11
Suppose a caravan (5 cars) travels 100 km, beginning in front of one tollbooth, passing through a second tollbooth, and nishing just after a third tollbooth. The distance between two tollbooths is 50 km. Each car takes 12 sec to serve. The tollbooth starts to serve the caravan when the entire caravan is lined up. The caravan can only dispatch a tollbooth after all cars in the caravan are served. What is the end-to-end delay (from when the caravan is lined up before 1st tollbooth till the caravan is served by the 3rd tollbooth)
Answer:
1 hr 2 min 30 secs
Step-by-step explanation:
Assume Propagation speed = 100 km/hr
number of cars = 5
distance between booths = 50 km
Total distance = 100 km
take taken to serve each car = 12 secs
Determine the end to end delay
first calculate the propagation delay = Total distance / propagation speed
= 100 / 100 = 1 hr
next calculate : Time taken to serve 5 cars in each Tollbooth
= 5 * 12 secs = 60 secs
Next calculate : transmission delay ( time taken by three tollbooth to reach 5 cars )
= 60 secs * 3 = 180 secs = 2 min 30 secs
therefore end-end delay
= propagation delay + transmission delay
= 1 hr 2 min 30 secs
kendrick bought 5 gallons of gass for 16.25. how much did kendrick pay per gallon?
Answer:
$3.25 per gallon
Step-by-step explanation:
Answer: he paid 3.25 for each gallon
Step-by-step explanation:
Divide the money (16.25) by the gallon (5) and get 1 gallon for 3.25
The seventh-grade class supplied bags of snacks and beverages for the school dance. They supplied 50 more beverages than bags of snacks. The dance was supplied with a total of 400 items. How many of each were supplied.
A) Define the variables.
B) Write a systems of equations for the situation.
C) Graph the system.
Answer:
C
Step-by-step explanation:
Hope this help and have a nice day
When solving a system of equations algebraically, which statement results in no solution?
Answer:
all of these
0 does not equal 1
4 does not equal 7
2 does not equal -2
-3 does not equal 3
All of the given equations have no solution.
What are system of equations in mathematics?A system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables. They are of the form -
ax + by + c = 0
dx + ey + f = 0
We have the given system of linear equations that has no solutions.
For no solutions, the final equation should be of the form -
α = β
where [α] and [β] are constant integers.
So all the equations result in no solution.
Therefore, all of the given equations have no solution.
To solve more questions on system of equations, visit the link below-
brainly.com/question/1126982
#SPJ2
In spite of the potential safety hazards, some people would like to have an Internet connection in their car. A preliminary survey of adult Americans has estimated this proportion to be somewhere around 0.40. Use the given preliminary estimate to determine the sample size required to estimate this proportion with 95% confidence and a margin of error of 0.02. (Round your answer up to the nearest integer.)
Answer:
The sample size required is of 2305.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
A preliminary survey of adult Americans has estimated this proportion to be somewhere around 0.40.
This means that [tex]\pi = 0.4[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The sample size required to estimate this proportion with 95% confidence and a margin of error of 0.02.
The sample size required is of n.
n is found when M = 0.02. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.02 = 1.96\sqrt{0.4*0.6}{n}}[/tex]
[tex]0.02\sqrt{n} = 1.96\sqrt{0.4*0.6}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.4*0.6}}{0.02}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.4*0.6}}{0.02})^2[/tex]
[tex]n = 2304.96[/tex]
Rounding up
The sample size required is of 2305.
3. A lemonade recipe calls for 1 cup each of sugar and lemon juice and 8 cups of water
Answer:
what exactly are we solving
Step-by-step explanation:
Evaluate the following Piecewise Function.
Please sturggeling
Answer:
[tex]f(0)=4[/tex]
[tex]f(6) = 8[/tex]
Step-by-step explanation:
Given
The piece wise function
Solving (a): f(0)
To solve for f(0), we make use of:
[tex]f(x) = x + 4[/tex]
Because: the inequality [tex]x < 5[/tex] satisfies x = 0
i.e: [tex]0 < 5[/tex]
So, we have:
[tex]f(x) = x + 4[/tex]
[tex]f(0)=0 + 4[/tex]
[tex]f(0)=4[/tex]
Solving (b): f(6)
To solve for f(6), we make use of:
[tex]f(x) = 8[/tex]
Because: the inequality [tex]5 \le x < 7[/tex] satisfies x = 6
i.e: [tex]5 \le 6 < 7[/tex]
So, we have:
[tex]f(6) = 8[/tex]
Which of the following values of f are solutions to the inequality below?
Select all that apply.
f≥ -5
Answer:
-4
Step-by-step explanation:
HELP ME PLEASE IT WOULD BE NICE
Answer:
90 degre i cant wright the small o thing but is 90
Step-by-step explanation:
What is the equation of the given line in slope-intercept form?
A. Y = 3x - 2
B. Y = -1/3x + 2
C. Y = -3x + 2
D. Y = 3x + 2
Answer:
C
Step-by-step explanation:
slope intercept is y=mx+b
The y-intercept is at 2 so b=2.
The slope is rise/run, equaling -3
so y= -3x+2
Find the value of x, then classify the quadrilateral
1) Find the value of x
2) Classfy the quadrilateral
Answer:
1) 49 degrees
2) It is a trapezoid
Step-by-step explanation:
1) the angles of a quadrilateral are 360 degrees, 78 + 102 + 132 + ? = 360
312 + ? = 360
? = 48
Which of these groups of relative frequencies would be best represented by a
pie chart?
A. 16%; 18%; 17%; 16%; 17%; 16%
B. 20%; 19%; 21%; 20%; 20%
C. 6%; 14%; 80%
D. 25%; 24%; 26%: 25%
Answer:
C
Step-by-step explanation:
different size wedges would be the most visibly different
Parallel slope of line x-7y=7
Answer:
The slope would be x/y so really the b value could be anything if you leave the slope the same. Hope this helps!
Step-by-step explanation:
x - 7y = 7
-7y = -x + 7
7y = x - 7
y = x/7 - 1
Answer al 4 question and I’ll give your Brainly
Answer:
C-C-B-D
Step-by-step explanation:
Hope this helps and look out for people trying to take your points!
For what values of b will F(x) = logbx be a decreasing function?
Answer:
It is a decreasing function for 0 < b < 1.
Step-by-step explanation:
Logarithm function:
The logarithm function is given by:
[tex]F(x) = \log_{b}{(x)}[/tex]
The base b determines if the function increases or decreases.
For 0 < b < 1, the function decreases.
For b > 1, the function increases.
In this question:
By the definition above, it is a decreasing function for 0 < b < 1.
27
The diagram shows a right-angled triangle and a quarter circle.
D
9 m
А
6 m
B.
The right-angled triangle ABC has angle ABC = 90°
The quarter circle has centre C and radius CB.
Work out the area of the quarter circle.
Give your answer correct to 3 significant figures.
You must show all your working.
Answer:
A ≈ 35.3 units²
Step-by-step explanation:
Calculate the radius CB using Pythagoras' identity in the right triangle.
CB² + AB² = AC²
CB² + 6² = 9²
CB² + 36 = 81 ( subtract 36 from both sides )
CB² = 45 = r²
Then area of quarter circle is
A = [tex]\frac{1}{4}[/tex] × πr² = [tex]\frac{1}{4}[/tex] × π × 45 ≈ 35.3
helppp i’ll give brainlest
Answer:
16square ft
Step-by-step explanation:
2x2+2x3x1/2x4=16 square ft
Area of base: 2x2
Area of one side of the triangular prism: 1/2xbasexheight=1/2 x2x3
What is the distance between the points (-6, 2) and (-4, 7)? Round to the nearest tenth if necessary.
Answer:
The distance is 5.4.
Step-by-step explanation:
Hope this helps!! Have an Amazing day!!
Answer:
5.385
Step-by-step explanation:
Use the distance formula with (-6,2) (-4,7)
[tex]\sqrt{(x_{2}-x_{1})^2 + (y_{2}-y_{1})^2 }[/tex]
[tex]\sqrt{(-4--6)^2 + (7-2)^2 }[/tex]
[tex]\sqrt{(2^2) + (5^2)}[/tex]
[tex]\sqrt{4+25}[/tex]
[tex]\sqrt{29}[/tex]
= 5.385
First, rewrite
7/9 and 16/21
so that they have a common denominator.
In the following diagram,
ℓ
∥
m
.
Solve for each of the variables w, x, y, and z. For each solution, explain, in complete sentences which special angles allowed you to create an equation in order to find a solution.
Answer:
w = 94 degrees
x = 105 degrees
y = 75 degrees
z = 86 degrees
Step-by-step explanation:
The 75 degree angle + x = 180 degrees, because together they form straight line. They are supplementary angles.
180 - x = 75
x = 105 degrees
The 86 degree angle and z are equal, because they are vertical angles...they share a vertex. So z = 86 degrees
In some of the other problems we've looked at together, we've talked about corresponding angles. Angles in the same position on the next parallel line, cut by a transversal. The angle right above x, where p intersects l, corresponds to y. I've called it Y' in the picture I'm attaching.
So if the 75 degree angle is equal to its vertical angle, Y', which is equal to its corresponding angle of y. y = 75 degrees
Using all of what's here about supplementary angles and corresponding angles, you know that the two angles in the z/86 degree area are 94 degrees. (180 - 86 = 94) Which means w and its vertical angle are also 94 degrees. w = 94 degrees.
I'm sorry this is so wordy. I don't want it to be confusing for you. I am hoping I can help you understand enough so these problems don't stress you out :) I have circled vertical angle pairs (about half of them) in pink. I have circled the supplemental angle pairs (about half of them) in purple.
Please help me!
What is the volume of the prism below?
2 3/4 units3
3 1/2 units3
5 units3
8 units3
Answer:
Step-by-step explanation:
Answer:
3 1/2 units cubed.
1 3/4 · 1 · 2 = 3 1/2
from 2005 to 2015, a population of lions decreased by 2% annualy. there were 1500 of this population of likns in 2005. how many lions wew left by 2015
Answer:
30
Step-by-step explanation:
I think that's the answer but if I'm wrong tell me right away I'll try another method.
Can someone help me out pls.
What was done to the previous equation?
A) 2x – 10. <--original equation
B) 11x – 10
C) -8 + 11x – 2
D) -8 – 11x – 2
E) -8 + 6x + 5x – 2
F) -8 – 3x + 5x – 2
Ok ill answer the question but do you want me to evaluate it or find it to the simplest form ?
HELPPPP!!!! The starting and finish lines for a race in Sullivan are 1.6 inches apart on a map of the course. If the scale of the map is 8 inches = 5.5 miles, then what is the actual distance between the starting line and the finish line?
Answer:
The answer is 110 miles
Step-by-step explanation:
make me the brainliest plz
PLEASE HELP THIS IS DUE I HAVE BEEN TRYING AND DONT UNDERSTAND IT!!!!
Answer:
Step-by-step explanation:
Moving a coordinate left will subtract from the x coordinate (left 3 means subtract 3 from x coordinate)
Moving a coordinate right will add to the x coordinate (right 3 means add 3 to x coordinate)
Moving a coordinate down will subtract from the y coordinate (down 3 means subtract 3 from y coordinate)
Moving a coordinate up will add to the y coordinate (up 3 means add 3 to y coordinate)
Reflect means flip the sign of the corresponding coordinate
reflect over x axis flip the sign of x coordinate
reflect over y axis flip the sign of y coordinate
-6(2p + 1) = -7p - 31
Answer:
P=5
Step-by-step explanation:
-6(2p + 1) = -7p - 31
Expand -6(2p+1)
Apply distributive law;
a=-6, b=2p, c=1
=-6*2p+(-6)*1
=-6*2p-6*1
Simplify; -6*2p-6*1
=-12p-6
-12p-6=-7p-31
Add 6 to both sides;
-12p-6+6=-7p-31+6
simplify;
-12p=-7p-25
Add 7p to both sides;
-12p+7p=-7p-25+7p
Simplify;
-5p=-25
Divide both sides by -5
-5p/-5=-25/-5
Simplify:
p=5
Answered by the One and Only #DrippQueenMo
Answer:
p=5
Step-by-step explanation:
first you want to get rid of the parentheses in -6(2p+1) so take -6 and times it by 2p and 1 to get -12p-6. You can do this because of the distributive property. Now you have the equation -12p - 6 = -7p - 31. So now you want to get the p values on one side. Adding 7p to both sides of the equations get rid of the -7p. -12p + 7p equals -5p so now you have the equation -5p - 6 = -31. so now you need to get the whole numbers on one side. So add 6 to both sides so you can get rid of the -6. this leaves you with the equation -5p= -25. Now to find the value of p you divide both sides by -5. This gives you p = 5.
If you work 7 miles from your home and work 5 days a week, how many miles do you travel for work each week?
The edge of each cube used to build this rectangular prism is 1/4 centimeter long. Which equation shows the volume of the prism, in cubic centimeters?
Answer:
jus trynna get points
Step-by-step explanation: