Answer:
The point does not lie in the solution sets of the given system of inequalities
Step-by-step explanation:
We need to check whether the point (1,-5) is a solution to the system of inequality
We substitute x=1 and y=-5 into the top inequality:
. This is true
We substitute x=1 and y=-5 into the bottom inequality:
. This is false.
Since the point does not satisfy both inequalities, it is not a solution to the system of inequalities.
your profile pic is pretty btw: and hope my answer helped
art contractors must locate an equipment staging area to serve three construction sites, located at (x,y) coordinates (0,3), (1,4) and (5,5). traffic between the staging area and each of the sites is 30 trips a week, except for the site located at (5,5), which is only 10 trips a week. what is the best set of co-ordinates for the equipment staging area?
Using the concepts of co-ordinate geometry, we got that (1.14,3.17) is best set of co-ordinates for the equipment staging if art contractors must locate an equipment staging area to serve the three construction sites, located at (x,y) coordinates (0,3), (1,4) and (5,5).
So, for x co-ordinates how we can find the output, for this we need to find that co-ordinate in which stagging area is maximum.
So that co-ordinate is given = [x-coordinate of point A + x-co-ordinate of point y)/2.0]-1.36
=>the best x-co-ordinate is =[(0+5)/2.0]-1.36
=>the best x-co-ordinate is =1.14,
Similarly, for the y-co-ordinate
the best y-co-ordinate is given by =[[y-co-ordinate of point A+ y-co-ordinate of point B]/2.0] +0.67
=>the best y-co-ordinate is given by =[(0+5)/2/0]+0.67=2.5+0.67
=>the best y-co-ordinate is given by=(
Therefore, the best x and y co-ordinate is (1.14,3.17)
Hence, when art contractors locate an equipment staging area to serve three construction sites, located at (x,y) coordinates (0,3), (1,4) and (5,5). traffic between the staging area and each of the sites is 30 trips a week, except for the site located at (5,5), which is only 10 trips a week. the best set of co-ordinates for the equipment staging area is (1.14,3.17).
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use the figure to complete the following statements
Step-by-step explanation:
I don't see the options and how they are written, but I can tell you the right answer in numbers :
sin(F) = 3/5 = 0.6
cos(F) = 4/5 = 0.8
sin(G) = 4/5 = 0.8
cos(G) = 3/5 = 0.6
why ?
remember the norm circle (radius 1) with ask the trigonometric functions.
the sine of an angle is the vertical height from that point in the circle arc down to x-axis.
the cosine of an angle is the length on the x-axis from the center of the circle to the point, where the sine touches the x-axis.
in any case, sine and cosine enclose the right angle (90°).
each function is now defined for the norm circle with radius = 1.
for angles in larger circles we need to divide the find lengths by the actual radius (we formality do this in the norm circle too, but a division by 1 does not change anything).
for the angles at F and G the radius is the side with the length 5.
Lolly wrote a total of 10 pages over 5 hours. How many hours will Lolly have to spend writing this week in order to have written a total of 20 pages?
Answer:
10 hours
Step-by-step explanation:
since she spent 5 hours writing 10 pages. you just have to multiple by 2 to know how long it will take to write 20 pages
Three people each have a tendency to lie 1/3 of the time. There is a coin flip that they all see. They all say it's Heads. What's the probability it is actually Heads
The probability is 8/9.
From the question, we have
probability = (1/3)*(1/3)*(1/3) = 1/27 chance (all of them lie)
probability = (2/3)*(2/3)*(2/3) = 8/27 chance (all of them true).
Since, they all say it's heads.
Thus, the probability of it being heads = (8/27)/ ((8/27)+(1/27)) = 8/9.
Probability:
Chance is referred to as probability. This branch of mathematics studies the probability of a random event. The value is between 0 and 1. Probability is a concept that mathematics has adopted to predict the likelihood of particular events. Probability is just the measure of how likely something is to occur. With the help of this fundamental theory of probability, which is also used to describe the probability distribution, you will be able to comprehend the possible results for a random experiment. How likely something is to occur can be determined using probability. It might be challenging to predict many things with complete certainty. We can only predict whether an event will occur or how likely it is using it, not if it will actually occur.
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% of 100 = 80 what the answer
Answer:
100% - 80%=20%
Step-by-step explanation:
that's the answer
5+9=21.38 what is the answer too this problem
Help please. Isabelle's lemon cookie recipe calls for 5 cups of sugar.
How much sugar would Isabelle use to make 4 1/5 batches of cookies?
The quantity of sugar Isabelle would need to make 4 1/5 batches of cookies is 21 cups of sugar
Calculating the quantity of sugar neededFrom the question, we are to determine the quantity of sugar that Isabelle would need to make the given number of batches. The number of batches Isabelle wants to make is 4 1/5 batches.
From the given information, Isabelle's lemon cookie recipe calls for 5 cups of sugar. If 1 batch of the lemon cookie calls for 5 cups of sugar
Then, 4 1/5 batches of the lemon cookie will call for 5 × 4 1/5 cups of sugar 5 × 4 1/5
= 5 × 21/5= 21
Hence, Isabelle will need 21 cups of sugar
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can someone do these for me pls i’m lazy
consider this confidence interval interpretation: we are 95% confident the mean sodium content for all beef hot dogs is between 353.2 and 449.1 mg. what needs to be done to fix this statement?
"We are 95% confident that the mean sodium content for all beef hot dogs is between 353.2 and 449.1 mg." is the correct statement.
The true parameter must be properly and contextually stated.
We are researching confidence intervals for population means rather than for particular observations. The parameter is, to put it in plain English, the average sodium content of all beef hot dogs. The phrase "We are 95% confident" would be a better translation.
Thus the correct statement is as mentioned above.
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In triangle ABC, what is the measure of angle C if A = 120°, a = 25, and b = 20? Round the answer to the nearest hundredth.
The angle C = 103.85° using the sine rule and rounded to the nearest hundredth.
What is the sine rule?In trigonometry, the sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles.
Considering the ∆ABC, the sine rule states that;
(a/sinA) = (b/sinB) = (c/sinC)
so
25/sin120° = 20/sinB
sinB = (20 × sin120°)/25 {cross multiplication}
sinB = 0.6928
B = sin^(-1)[0.6928)] {sine inverse}
B = 43. 85°
Sum of interior angles in ∆ABC is 180° so;
C = 180° - (120° + 43.85°)
C = 180° - 76.15°
C = 103.85°
With the application of the sine rule, we can conclude that the value of the angle C is 103.85° rounded to the nearest hundredth.
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8x + 24 I was solutions
Step-by-step explanation:
8x + 24 is a simplified expression.
It is not an equation, so it can't be solved.
There are two terms in 8x + 24, 8x and 24.
The two terms are unlike terms, so they cannot be combined together.
Use the properties of operations to multiply (8-2x) (-0.25x)
_x + _x^2
the _ is the blanks im supposed to fill in
The blanks are -2 and 0.5 respectively, by solving the expression (8 - 2x) *(-0.25x)
What does the term Algebraic Expression means?
In mathematics, an algebraic expression is an expression composed of variables and constants as well as algebraic operations (addition, subtraction, etc.). Terms combine to form expressions.
Solution:
Given the expression, we need to solve it by using the properties of basic multiplication.
= (8 - 2x)*(-0.25x)
= (8*(-0.25x)) + (-2x * (-0.25x))
= -2x + 0.5[tex]x^{2}[/tex]
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Which point is located on the x-axis?
Answer:7
Step-by-step explanation:
yabba dabba doo
Find the geometric mean between 2 and 19. Write your answer in radical form or round to the nearest tenth, if
necessary.
Answer: 6.2
Step-by-step explanation:
Geometric Mean = √( 2 x 19 ) = 2√38 = 6.1644
A 10 pound bag of apples costs $9.85 - what is the price per pound?
Answer:
Step-by-step explanation:
$9.85 / 10 ≈ $0.99
when playing yahtzee, you roll five regular 6-sided dice. how many different outcomes are possible from a single roll? the order of the dice does not matter.
Answer:
6
Step-by-step explanation:
The height, in feet, of a flying disc after t seconds is modeled by the equation h(t)=−4.5t^2+19.6t+3. What does the 3 in the equation represent?
The 3 in the equation is the starting point
Function given:
h(t) = −4.5t2 + 19.6t + 3
At t =0 we get h(0) = 3. This is called the y-intercept
It is the start point indicating the disc was thrown at 3 feet of height.
Using the common convention in geometry the horizontal axis in a graph in represented by the x-axis and the vertical axis in a graph is represented by the y-axis. The intercepts are the points on the graph at which the graph crosses the two axes. The point where the graph is drawn crosses the horizontal axis is called the x-intercept or the x-axis, and when the graph crosses the vertical axis is called as the y-intercept or the y-axis.
I hope this answer helps.
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Given mn, find the value of x.
(5x+2)®
(4x+6)°
m
The value of x in the angle illustrated as (5x + 2)° and (4x + 6)° is 4
How to calculate the value of x?It is important to note that line m and line n are parallel. In the diagram, they also intersect each other.
Therefore, it should be noted that according to angle rule, (5x + 2) and (4x + 6) are alternate angles. In this case, they're equal.
These will be illustrated as:
5x + 2 = 4x + 6
Collect like terms
5x - 4x = 6 - 2
x = 4
Therefore, x is 4°.
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there are four boxes that look the same. in one box (the special box), half of the marbles are blue. but only 1/8 of the marbles in the other boxes are blue. you pick a box at random and randomly select a marble from it. the marble is blue. what should your new odds be that the box you picked is the special one?
The new odds that the box picked is a special one is 4
Since, there are four boxes that look the same. in one box (the special one), half of the marbles are blue. but only 1/8 of the marbles in the other boxes are blue.
We will have this hypothesis:
The box the blue marble was picked from is the special box.
Prior confidence we had:
Ratio of special boxes to non special boxes=1:3
Now P(blue &special)=1/2, given that a box is selected from the special box, there is 1/2 chance that it is blue
And P(blue & not special)=1/8, given that a box is selected from a non-special box, there is 1/8 chance that it is blue
According to Baye's factor ,we get:
P(B & S)/P(B & NS)=(1/2)/(1/8)
=4
Thus, 4 is the new odds that the box picked is the special one.
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Graph the line with slope 1 passing through the point -2, -5 .
~Shown Graph and Question~
Answer: y = x - 3
Step-by-step explanation:
Answer:
y = x+3
Step-by-step explanation:
First of all we have to find the equation of the line
Slope-intercept form is:
[tex]y=mx+b[/tex]
Putting the value of slope
[tex]y=x+b[/tex]
Putting the point in the equation
(-4,-1)
[tex]-2=-5+b\\b=-2+5\\b=3[/tex]
So the equation is:
[tex]y=x+3[/tex]
The graph is attached with the answer
Keywords: Equation of line, slope
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(12x)^1/2 in radical form
Answer: [tex]\sqrt{12x}[/tex]
Step-by-step explanation:
Can somone help me with this will mark u brainliest
Answer:
[tex] = 3 + \sqrt{25 } - \sqrt{12} \\ = 3 + 5 - \sqrt{12 \\ } \\ = 8 - \sqrt{12} [/tex]
[tex] = 8 - 2 \sqrt{3} [/tex]
option d is correct
Of the students at Milton Middle School, 112 are girls. If 40% of the students are girls, how many total students are there at Milton Middle school
what is the smallest odd number you can make with 3 4 6 and 8
Answer: You cannot.
Step-by-step explanation:
3 can be multiplied into an odd number
4 cannot be multiplied into an odd number
6 cannot be multiplied into an odd number
8 cannot be multiplied into an odd number
Overall, you will not be able to get an odd number with the numbers provided.
Answer: 4683
Step-by-step explanation:
To have an odd number, and since the only odd number you have in your list is 3, that would be in the one's place. Then, you have to put the smallest number (except for 3) in the front. Now, you have two more places to fill in (4 _ _ 3). Like the 4, put the 6 after the 4 to have the smallest possible hundreds place. Now place the eight. Your final number should be... 4683.
What is the slope of the line below?
Answer:
1/2
Step-by-step explanation:
if you take the (2,2) and make it (6,10), you add 4 to the x and 8 to the y. putting this as rise over run (x/y) it comes out to four eighths (4/8). reducing that comes out to one half (4/8).
Which sentence describes a benefit that short-term disability insurance offers a policyholder?
A. It provides 30% to 40% of the policyholder’s income for up to one year.
B. It provides 10% to 25% of the policyholder’s income for up to two years.
C. It provides 50% of the policyholder’s income for up to one year.
D. It provides 40% to 60% of the policyholder’s income for up to one year.
The sentence that describes a benefit of short-term disability insurance is D. It provides 40% to 60% of the policyholder’s income for up to one year.
What is short-term disability insurance?Short-term disability insurance is meant to cover a portion of a person's wages in the event that they get injured such that they are unable to work and earn a salary in that time.
The short-term disability insurance policies these days generally cover about 40% to 60% of the income that the policyholder would have made in one year and so has less premiums.
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What is the slope of the line that contains these points?
The slope of the line that contains the the given points is 1/5 .
The slope of the line containing the two points (x₁ , y₁) and (x₂ , y₂) is calculated using the formula
slope = (y₂ - y₁)/(x₂ - x₁)
In the question ,
it is given that the
line contains the points x [tex]=[/tex] -4 , y [tex]=[/tex] -3
and x = 1 , y = -2 .
we need two points to find the slope of the line
Substituting the values in the formula for slope ,
we get
slope = (-2 -(-3))/(1-(-4))
= (-2+3)/(1+4)
= 1/5
Therefore , The slope of the line that contains the the given points is 1/5 .
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Jackson buys 60 books at £3 each.
He sells 35 of these at £8 each and
the remainder at £4 each. What
percentage profit does he make
(give the answer to the nearest
whole number).
Answer:
111%
Step-by-step explanation:
£3 × 60 = £180
(35 × £8) + ( 25 × £4) = £380
£380 ‐ £180 = £200
200/180 × 100% = 111% (nearest whole number)
A school had 1 200 students last year and only 1 080 students this year. What was the percent decrease in the number of students?
The percentage decrease in the number of students in the school was 10%.
What is the percentage?The percentage refers to the ratio or proportion of students that reduced the number of the school population for the present year in comparison to last year's.
We can compute the percentage by finding the decrease in population and taking the result as a numerator of the total number in the last year and multiplying the result by 100.
Percentages represent fractional values and are usually depicted by the percentage sign (%).
The total number of students in the school last year = 1,200
The total number of students in the school this year = 1,080
The decrease in the number of students = 120 (1,200 - 1,080)
The percentage decrease = 10% (120/1,200 x 100)
Thus, we can conclude that the school population decreased by 10%.
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What is the slope of the line created by this equation?
Round your answer out to two decimal places
6x + 7y = 5
Answer:
-0.86
Step-by-step explanation:
What is the slope of the line created by this equation? Round your answer out to two decimal places. 6x + 7y = 5
_____________________________________________
Slope intercept form solves for y:
y = mx + b when m = slope and b = y-intercept
First, solve for y:
6x + 7y = 5
subtract 6x from both sides:
6x + 7y - 6x = 5 - 6x
7y = 5 - 6x
divide both sides by 7:
7y/7 = (5 - 6x)/7
y = 5/7 - 6/7x
rearrange right side:
y = - 6/7x + 5/7
Back to the equation: y = mx + b when m = slope and b = y-intercept
your slope is -6/7
in decimal form, rounded to two digits: -0.86