Answer:
Graph B
Step-by-step explanation:
Step 1) y+2≤-2/3x+4
Subtract 2 from both sides to get y≤-2/3x+2
Step 2) We know the line will be solid because of a "≤" sign. Use (0,0) to determine which side will be shaded.
0≤0+2 is true so the side that includes the origin should be shaded.
Use De Morgan's laws to determine whether the two statements are equivalent. (~p∨~q)→r, ~(p∧q)→r
De Morgan's laws state that ~(p∧q) is equivalent to ~p∨~q and ~(p∨q) is equivalent to ~p∧~q. Using this, we can rewrite the second statement ~(p∧q)→r as ~p∨~q→r.
Now, we can compare the two statements:
(~p∨~q)→r and ~p∨~q→r
To determine if they are equivalent, we need to see if they have the same truth value for every possible combination of truth values for p, q, and r.
Let's create a truth table to help us:
| p | q | r | ~p | ~q | ~p∨~q | (~p∨~q)→r | ~p∨~q | (~p∨~q)→r |
|---|---|---|----|----|--------|-------------|--------|-------------|
| T | T | T | F | F | T | T | T | T |
| T | T | F | F | F | T | F | T | F |
| T | F | T | F | T | T | T | T | T |
| T | F | F | F | T | T | F | T | F |
| F | T | T | T | F | T | T | T | T |
| F | T | F | T | F | T | F | T | F |
| F | F | T | T | T | T | T | T | T |
| F | F | F | T | T | T | T | T | T |
As we can see, both statements have the same truth value for every possible combination of truth values for p, q, and r. Therefore, the two statements are equivalent.
We used De Morgan's laws to rewrite ~(p∧q)→r as ~p∨~q→r, then we compared the two statements using a truth table to see if they have the same truth value for every possible combination of truth values for p, q, and r.
Learn more about truth table here:
brainly.com/question/30588184
#SPJ11
14. In the 6-sided figure below, adjacent sides meet at right angles and
the lengths given are in centimeters. What is the area of the figure, in centimeters?
The total area of the composite figure is 228 sq cm
Calculating the area of the figureFrom the question, we have the following parameters that can be used in our computation:
The composite figure with 6 sides
The total area of the composite figure is the sum of the areas of the individual shapes
So, we have
Area = Area of Rectangle + Area of Rectangle
Using the above as a guide, we have the following equation
Area = 12 * 14 + (22 - 12) * 6
Evaluate the products
Area = 228
Hence, the total area of the figure is 228 sq cm
Read more about area at
brainly.com/question/26403859
#SPJ1
-3x + 9 = 5(x - 3)
please help solve this
Answer:
x =3
hope this helped you
please mark as the brainliest (ㆁωㆁ)
PLEASE EXPLAIN!!!
You are planning to use a ceramic tile design in your new bathroom. The tiles are equilateral triangles. You decide to arrange the tiles in a hexagonal shape as shown. If the side of each tile measures 11cm, what will be the exact area of each hexagonal shape?
A: 3,993 cm^2
B: 181.5√3 cm^2
C: 132√3 cm^2
D: 33cm^2
The exact area of each hexagonal shape is 181.5sqrt(3) cm^2. Option B
To determine the exact area of each hexagonal shape formed by the equilateral triangles, we need to calculate the area of one equilateral triangle and then multiply it by the number of triangles that make up the hexagon.
The formula to calculate the area of an equilateral triangle is:
Area = (sqrt(3) / 4) * side^2
Given that the side of each tile measures 11 cm, we can substitute this value into the formula to find the area of one equilateral triangle:
Area = (sqrt(3) / 4) * (11 cm)^2
= (sqrt(3) / 4) * 121 cm^2
= 121sqrt(3) / 4 cm^2
Now, since the hexagon is formed by six equilateral triangles, we can multiply the area of one triangle by 6 to find the total area of the hexagon:
Hexagon Area = 6 * (121sqrt(3) / 4 cm^2)
= 726sqrt(3) / 4 cm^2
= 181.5sqrt(3) cm^2
Therefore, the exact area of each hexagonal shape is 181.5sqrt(3) cm^2.
The correct answer is B: 181.5√3 cm^2.
For more such questions on hexagonal visit:
https://brainly.com/question/25907410
#SPJ8
Find the amount if
8.4% of it is 17.22kg
Answer:
205 because 8.4% of 17.22 is 205
Q7.During summer, the temperature within a room is 37
0C. If an air conditioner
cools the room by 5
0C/min. What will be the temperature of the room after 5 minutes
of switching on the air conditioner?
Answer:
Step-by-step explanation:
37 - 5^5 = 12
ANSWER = 12*C
Find an equation for the perpendicular bisector of the line segment whose endpoints are (4,−1) and (8,7).
Answer: \(y=-\frac{1}{2}x+6\)
Step-by-step explanation:
The slope of the line segment is \(\frac{-1-7}{4-8}=2\).
So, the slope of the perpendicular bisector is -1/2.The midpoint of the line segment is \(\left(\frac{4+8}{2}, \frac{-1+7}{2} \right)=(6, 3)\).
Thus, the equation is:
\(y-3=-\frac{1}{2}(x-6)\\\\y-3=-\frac{1}{2}x+3\\\\y=-\frac{1}{2}x+6\)
Which lines are parallel to the graph of 4x - y = 6?
Answer:
Step-by-step explanation:
i cant see answers help my insta is 813.caden
Answer:
y+1=4(x-2)
y=4x+11
8x-2y+6
Step-by-step explanation:
At the end of Week 3 of my baseball team's season, our record is 5 wins and 7 losses. Each week after that, we win 3 games and lose 1 game. At the end of which week will my team have first won at least twice as many games total this season as it has lost?
Answer:
Week 6
Step-by-step explanation:
Week 3 you are 7-5
Week 4 you are 10-6
Week 5 you are 13-7
Week 6 you are 16-8
16/8 = 2 so week 6 is your answer
Which of the following shows the correct first step for finding the midpoint between the points (2,2) and (-1, 5)
Answer:
A
Step-by-step explanation:
By adding both the x and y coordinates individually and dividing them by two u get the mid point
Find the constant of variation for the relation and use it to write an equation for the statement. Th
a.
C.
If y varies directly as x, and y = 7 when x = 3, find y when x = 7
7
49
49
Y =
343
3
y = 5%; y(7) =
3
3
3
b. 3
d. y = 7x; y(7) =49
y = 3*; y(7) =3
Please select the best answer from the choices provided
Answer:
A
Step-by-step explanation:
Given that y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 7 when x = 3 , then
7 = 3k ( divide both sides by 3 )
\(\frac{7}{3}\) = k
y = \(\frac{7}{3}\) x ← equation of variation
When x = 7 , then
y = \(\frac{7}{3}\) × 7 = \(\frac{49}{3}\)
Example 1Find the length of the segment withthe given endpoints:C (3, 6) and D (7, -3).Post SlideStudents, draw anywhere on this slide!
The segment is a straight line that connects the two points C and D. We want to determine the distance between C and D. Looking at the given points, the x cordinates are 3 and 7. The y coordinates are 6 and - 3.
The first step is to determine the distance between the x coordinate. We can subtract the higher value from the lower value but we must take the absolute value. Therefore, the distance between the x coordinate is 3 - 7 = - 4. The absolute value is 4
The distance between the y coordinate would be 6 - - 3 = 9. The absolute value is 9
The next step is to find the square root of the sum of both distances. It becomes
\(\sqrt{4^2+9^2}\text{ = }\sqrt{97\text{ }}\)The length of the segment is 9.85
plz plz answer this i'll give 11 points
Answer:
A =bh
Step-by-step explanation:
2 1/2 times 5 1/4 = 13.125
g assume a quarterback completes 44% of his passes. what is the probability that the quarterback completes his first pass on his 4th attempt?
The probability that the quarterback completes his first pass on his 4th attempt is 0.44
The term probability in math is defined as the ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes
Here we have given that assume a quarterback completes 44% of his passes.
Here we have to convert the percentage into decimal form, then we get,
=> 44/100
When we divide it, then we get the probability that the quarterback completes his first pass on his 4th attempt is written as,
=> 0.44
To know more about probability here.
https://brainly.com/question/11234923
#SPJ4
Ecological correlation is correlations based on rates or averages, often used in political science or sociology, that tend to over-state the strength of an association. True/False?
It is true, as The term "ecological correlation" refers to correlations based on rates or averages that frequently appear in political science or sociology and tend to exaggerate the significance of a link.
what is correlation?Correlations describe the connections between different variables. Strong, weak, positive, or negative expressions are all possible. 1 = Causation need not always follow from correlation. A statistical measure of the linear relationship between two variables is called correlation (that is, do they change at a constant rate). Without defining cause and effect, this is a common method for illustrating straightforward connections. To illustrate the connection between two quantitative variables, statistical language employs correlation. Additionally, we consider that this connection is linear. In other words, when one variable changes by a given amount, the other variable also changes by a fixed amount, but only by one unit.
The term "ecological correlation" refers to correlations based on rates or averages that frequently appear in political science or sociology and tend to exaggerate the significance of a link.
So, it is true.
To know more about correlation visit:
https://brainly.com/question/30016867
#SPJ4
Please help! :)) :)
Answer:
3/2
Step-by-step explanation:
School starts at 8:35 am. It takes billy 32 minutes to get dressed, 13 minutes to eat breakfast, and 17 minutes to walk to school. At what time should billy get up to be right on time for school? : *
The time Billy should get up to be right on time for school is 6:52 am.
The formula to calculate the time Billy should get up to be right on time for school is as follows: Time Billy Should Get Up = School Start Time - (Time to Get Dressed + Time to Eat Breakfast + Time to Walk to School). In this case, the formula is: Time Billy Should Get Up = 8:35 am - (32 minutes + 13 minutes + 17 minutes). In order to solve this equation, first we must convert the minutes to hours. 32 minutes is equal to 0.53 hours and 13 minutes is equal to 0.22 hours. 17 minutes is equal to 0.28 hours. Thus, the formula is: Time Billy Should Get Up = 8:35 am - (0.53 hours + 0.22 hours + 0.28 hours). Now, we can solve for the time Billy should get up. 8:35 am minus 0.53 hours is 7:42 am. Then, 7:42 am minus 0.22 hours is 7:20 am. Finally, 7:20 am minus 0.28 hours is 6:52 am. Therefore, the time Billy should get up to be right on time for school is 6:52 am.
Learn more about time here:
https://brainly.com/question/28050940
#SPJ4
What was the cost of full coverage insurance in female in her 50s as a percentage of the same insurance in a male in his 30s if female cost $819. 73 and male cost $1192. 64
the cost of full coverage insurance in female in her 50s as a percentage of the same insurance in a male in his 30s if female cost $819. 73 and male cost $1192. 64 was $ 68.73
We have the insurance coverage amount for men of 30 years and for women of 50 years. Therefore, to find the percentage that represents the cost of coverage of the 50-year-old woman based on the cost of coverage of the man, we need to perform the following operation:
Xw= Cw/Cm * 100%
Where:
Cw: cost of coverage for a woman of 50 years.
Cm: coverage cost for a 30-year-old man.
Xw= 819.73/1192.64 *100%
= 68.73
learn more about of percentage here
https://brainly.com/question/11941499
#SPJ4
to determine the relative effectiveness of different study strategies for the sat, suppose three groups of students are randomly selected: one group took the sat without any prior studying; the second group took the sat after studying on their own from a common study booklet available in the bookstore; and the third group took the sat after completing a paid summer study session from a private test-prep company. the means and standard deviations of the resulting sat scores from this hypothetical study are summarized below: since we are comparing more than 2 groups, we will use anova to test whether the data provide evidence that sat score is related to study strategy. one of the conditions that allows us to use anova safely is that of equal (population) standard deviations. can we assume that this condition is met in this case?
We have to make a suspicion based on the given data. The standard deviations of the three bunches are not given within the address, so we cannot straightforwardly decide whether the condition of equal standard deviations is met. Be that as it may, ready to make a few taught surmises based on what we know almost each gather.
The primary gather, which did not think about, is likely to have a bigger change in scores than the other two bunches since understudies with shifting levels of arrangement and capacity took the test. Subsequently, we might anticipate the standard deviation of this group to be bigger than that of the other two bunches.
It is conceivable that the condition of rise to standard deviations isn't met. In case the condition of equal standard deviations isn't met, we may require to utilize an altered adaptation of ANOVA, such as Welch's ANOVA, which does not expect a rise in changes.
To learn about standard deviations visit:
https://brainly.com/question/13905583
#SPJ4
. A cook buys six pumpkins. The mean mass of these pumpkins is 2,1 kg. The heaviest pumpkin, which has a mass of 3 kg, is used first. Calculate the mass of the remaining five pumpkins.
Answer:
9.6kg
Step-by-step explanation:
If the mean mass is 2.1 we can count the mass of these six pumpkins
the total mass of the pumpkins divided by the quantity of them is equal 2.1
TO find the mass multiply 2.1 by the quantity of them (6)
2.1*6=12.6 - the summary weight of six pumpkins
12.6-3=9.6 - the remainder after using the heaviest pumpkin
for a married employee who is paid semiannually, claims 1 federal withholding allowance, completed the pre-2020 form w-4, and earns $ 62,000, the federal income tax withholding when using the percentage method is $
The estimated federal income tax withholding using the percentage method for the given scenario would be $1,940 + $1,680 = $3,620.
To calculate the federal income tax withholding using the percentage method, we need the specific tax rates and brackets for the given income level. The tax rates and brackets may vary depending on the tax year and filing status.
Since you mentioned using the pre-2020 Form W-4, I will assume you are referring to the 2019 tax year. In that case, I can provide an estimate based on the tax rates and brackets for that year.
For a married employee filing jointly in 2019, the federal income tax rates and brackets are as follows:
- 10% on taxable income up to $19,400
- 12% on taxable income between $19,401 and $78,950
- 22% on taxable income between $78,951 and $168,400
- 24% on taxable income between $168,401 and $321,450
- 32% on taxable income between $321,451 and $408,200
- 35% on taxable income between $408,201 and $612,350
- 37% on taxable income over $612,350
To calculate the federal income tax withholding, we need to determine the taxable income based on the employee's earnings and filing status. Assuming no other deductions or adjustments, the taxable income can be calculated as follows:
Taxable Income = Earnings - Standard Deduction - (Withholding Allowances * Withholding Allowance Value)
For the 2019 tax year, the standard deduction for a married couple filing jointly is $24,400, and the value of one withholding allowance is $4,200.
Using the given information of earning $62,000 and claiming 1 federal withholding allowance, we can calculate the taxable income:
Taxable Income = $62,000 - $24,400 - (1 * $4,200) = $33,400
Now we can apply the tax rates to determine the federal income tax withholding:
10% on the first $19,400 = $19,400 * 10% = $1,940
12% on the remaining $14,000 ($33,400 - $19,400) = $14,000 * 12% = $1,680
Therefore, the estimated federal income tax withholding using the percentage method for the given scenario would be $1,940 + $1,680 = $3,620.
To learn more about federal income tax here:
https://brainly.com/question/30200430
#SPJ4
plss help I don’t understand it it’s for homework
Answer: r= -3
Next 3 terms following 54 are -162, 486, -1458
Step-by-step explanation:
pls help me with this:((((
Answer:
See image
Step-by-step explanation:
Use y = mx + b called the slope-intercept form of the equation because you can pick the slope and also the y-intercept right off this equation. If you know what to look for, the information is just right there waiting for you to see it.
The m is the slope, that is the number in front of the x.
The b is the y-intercept, that is the number added on at the end of the equation.
sendo a função f(x) = 4x³ +8x² - 2 . x + 13, determine o valor de 9.f (3)
Answer:
The value of 9f(3) is 1683.
Step-by-step explanation:
This is a compound function, so let's call it \(g\), where it is equal to:
\(g = 9*f(3)\)
To solve it, we need to find \(f(3)\) and apply it on the expression above, this is done below:
\(f(3) = 4*(3)^3 + 8*(3)^2 - 2*3 + 13\\f(3) = 4*27 + 8*9 - 6 + 13\\f(3) = 108 + 72 + 7\\f(3) = 187\\\)
Applying it on \(g\) we have:
\(g = 9*187 =1683\)
Answer:
1,863
Step-by-step explanation:
First thing to do here is to substitute 3 for the value of x
f(3) =4)3)^3 + 8(3)^2 -2(3) + 13
= 4(27) + 8(9) -6 + 13
= 108 + 72 + 7 = 207
we now multiply this result by 9
= 9 * 207 = 1,863
What is the solution to the system of equations?
-1/2x+1/2y=-1
x-y=2
O There is no solution.
O There are infinitely many solutions.
O There is only one solution, (3, 1).
O There is only one solution, (-6,
The system of equations have no solution, the correct option is A.
What is a solution to a system of equations?For a solution to be solution to a system, it must satisfy all the equations of that system, and as all points satisfying an equation are in their graphs, so solution to a system is the intersection of all its equation at single point(as we need common point, which is going to be intersection of course)(this can be one or many, or sometimes none)
Given;
-1/2x+1/2y=-1 (1)
x-y=2 (2)
Now, multiplying equation 1 by 2
-x+y=-2
y=-2+x
Substituting the value of y in equation 2
x+2-x=2
Therefore, the equation have no solution.
Learn more about finding the solution of equation here:
https://brainly.com/question/26254258
#SPJ1
Which of the following regressions represents the weakest linear relationship
between x and y?
Regression 1
y = ax + b
a = -5.8
b=-6.5
r = -0.7621
Regression 2
y = ax + b
a = 2.4
b = -14.7
T= = 0.809
Regression 3
y = ax + b
= -7.4
b=-17.4
a=
r=-0.233
Regression 4.
yax+b
a = -3.4
b= -8.5
T= -0.6121
Please send help
Answer:
Step-by-step explanation:
The strength of a linear relationship between two variables is typically measured by the correlation coefficient (r) or the coefficient of determination (r^2). A value of r or r^2 closer to 1 indicates a stronger positive linear relationship, whereas a value closer to -1 indicates a stronger negative linear relationship. A value of r or r^2 closer to 0 indicates a weaker or no linear relationship.
Looking at the given regression equations and their correlation coefficients, the regression with the weakest linear relationship between x and y is Regression 3:
Regression 1: y = -5.8x - 6.5, r = -0.7621
Regression 2: y = 2.4x - 14.7, r = 0.809
Regression 3: y = -7.4x - 17.4, r = -0.233
Regression 4: y = -3.4x - 8.5, r = -0.6121
Regression 3 has the lowest absolute value of r (0.233), indicating the weakest or no linear relationship between x and y. Therefore, Regression 3 represents the weakest linear relationship between x and y among the given options.
The local newspaper has letters to the editor from 80 people. If this number represents 5% of all of the newspaper's readers, how many readers does the newspaper have?
Answer:
1600 readers
Step-by-step explanation:
80*100=8000
5*n=5n
8000/5=1600
n=1600
help i need help super quick
For what values of x must ABCD be a parallelogram: Side AB = 5x - 8 , Side DC = 2x + 7
Answer:
x = 5
Step-by-step explanation:
5x - 8 = 2x + 7
-2x -2x
3x - 8 = 7
+8 +8
3x = 15
÷3 ÷3
x = 5
I hope this helps!
A farmer plans to build the small silo shown to store chicken feed. What is the circumference of the base of the silo if it can hold a maximum of 132 cubic feet of feed?
Answer:
4√(3π) ft ≈ 12.28 ft
Step-by-step explanation:
The formulas for volume of a cone and a cylinder can be used to find the radius of the silo. Then the formula for the circumference of a circle can be used to find the circumference.
__
Relevant formulas are ...
V = πr²h . . . . . volume, cylinder with radius r, height hV = 1/3πr²h . . . . volume, cone with radius r, height hC = 2πr . . . . . . . . circumference of a circle with radius r__
radius from volumeThe total volume of the silo is the sum of the volumes of a cylinder of height (15 -6) = 9 ft, and a cone of height 6 ft. Both have the same radius: r. The total volume is given as 132 ft³.
V = πr²h + 1/3πr²h' . . . . . . h = cylinder height, h' = cone height
132 ft³ = πr²(9 ft +1/3(6 ft)) = πr²(11 ft)
r² = 132 ft³/(11π ft) = 12/π ft²
r = √(12/π) ft = 2√(3/π) ft
circumference from radiusThen the circumference of the silo is ...
C = 2πr = 2π(2√(3/π)) ft = 4√(3π) ft ≈ 12.28 ft
The circumference of the base of the silo is 4√(3π), about 12.28 feet.