Final answer:
In logic and truth tables, shifting one line correctly while the other is shifted incorrectly will result in credit for the correctly shifted line.
Explanation:
True or False: If you shift one of the lines incorrectly and the other correctly, you will receive credit for the correctly shifted line. True
The statement is true in the context of logic and truth tables. When dealing with truth tables and logical operations, if one line is shifted correctly and the other incorrectly, credit is given for the line that was correctly shifted.
Order these numbers from least to greatest: 3.4 ,7 ,-3.5 ,-3
Answer: -3.5, -3, 3.4, 7
Step-by-step explanation: If you put it on a number line, this would be the order these integers go in!
translate “a number x divided by 5 is at least -19” into a inequality
Answer: x/5 ≥ -19
Step-by-step explanation:
Suppose 40 people come to your
party. If 15% of your guests arrive
early, how many people arrive early?
Step-by-step explanation:
15% as a decimal is 0.15
40*0.15 is 6
6 guests arrive early
6 people arrive early to the party.
Calculating the Number of People Who Arrive Early to a Party
To calculate the number of people who arrive early to a party where 40 people are expected, we use the given percentage of guests that arrive early, which in this case is 15%. The calculation process is straightforward:
Convert the percentage to a decimal by dividing by 100, which gives us 0.15.
Multiply the decimal by the total number of people expected at the party to find the number of people who arrive early.
So, the calculation is:
0.15 x 40 = 6
Therefore, 6 people arrive early to the party.
enter the ratio on its simplest form 9/12
Answer: 3/4
Step-by-step explanation:
To take this ratio to its simplest form, we have to divide by a value divisible by the numerator and denominator.
3 is a divisible value, therefore,
9/12 = 9 ÷ 3 = 3
12 ÷ 3 = 4
Thus, 9/12 = 3/4
I hope this helps.
What are the coordinates for the vertices of the figure? *show your work*
The coordinates for the shape are;
a = (0, 0), b = (a, 0), c = (a, a), and d = (0, a).
Step-by-step explanation:
Step 1:
First, we must assign letters to the four vertices of the given shape.
Assume the lower-left vertex is a, the lower-right vertex is b, the upper-right vertex is c and the upper-left vertex is d.
So the vertices for the shape are a, b, c, and d.
Step 2:
The coordinates for a point on a graph is given by (x coordinate, y coordinate).
So we need to determine the x and y coordinates for the four points on the shape abcd.
Step 3;
The x coordinate for vertex a = 0, the y coordinate for vertex a = 0,
so the coordinates of vertex a = (0, 0).
The x coordinate for vertex b = a - 0 = a, the y coordinate for vertex b = 0,
so the coordinates of vertex b = (a, 0).
The x coordinate for vertex c = a- 0 =a, the y coordinate for vertex c = a- 0= a, so the coordinates of vertex c = (a, a).
The x coordinate for vertex d = 0, the y coordinate for vertex d = a - 0 =a,
so the coordinates of vertex d = (0, a).
Determine the center and radius of the following circle equation:
x2 + y2 – 12x – 18y + 108 = 0
Center:
Radius:
Pls help :)
Answer:
(6, 9 ) and r = 3
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
x² + y² - 12x - 18y + 108 = 0
Rearrange the x- terms and the y- terms together and subtract 108 from both sides, that is
x² - 12x + y² - 18y = - 108
To obtain standard form use the method of completing the square
add ( half the coefficient of the x and y terms )² to both sides
x² + 2(- 6)x + 36 + y² + 2(- 9)y + 81 = - 108 + 36 + 81
(x - 6)² + (y - 9)² = 9 ← in standard form
with centre = (6, 9 ) and r = [tex]\sqrt{9}[/tex] = 3
3/16 Problem Of The Day:
The following expression represents the school’s cost for 6 students to attend an after school event.
6(2k + 5) - 20
Part A: Simplify the expression using the Distributive Property.
Part B: If k = $12.50, what is the school’s cost for the event?
Answer:
A) 12k + 10
B) $160
Step-by-step explanation:
6(2k + 5) - 20
12k + 30 - 20
12k + 10
k = 12.5
12(12.5) + 10 = 160
Answer:
12k +10
Final cos = 160
Step-by-step explanation:
6(2k + 5) - 20
Distribute the 6
6*2k + 6*5 -20
12k +30 -20
12k +10
Let k =12.5
12*12.5 +10
150 +10
160
If both figures have the same perimeter what is the perimeter of each figure,
Yo sup??
perimeter of figure 1 is
2(x+x+5)=2(2x+5)
perimeter of figure 2 is
3x+22
now
4x+10=3x+22
x=12
Hope this helps
Answer:
The correct answer is 58.
Hope this helped!
susie is painting a wall that is 12 feet tall and 9 feet wide if each can of paint has enough paint to cover 8 square feet how many cans of paint will susie need to cover the whole wall
Answer:13.5
Step-by-step explanation:
x= 12*9/ 8
13.5 paints are needed bro
i hope you understand the ans
i didnt add statments
By applying formula of area of rectangle we got that if susie is painting a wall that is 12 feet tall and 9 feet wide if each can of paint has enough paint to cover 8 square feet then total 12 cans of paint will susie need to cover the whole wall
What is rectangle ?Rectangle is a regular quadrilateral with all angle equal to right angle.
Given that wall that is 12 feet tall and 9 feet wide
So area of rectangle = length[tex]\times[/tex]width
Area= [tex]12\times 8=96[/tex]
Given that each can of paint has enough paint to cover 8 square feet
Hence number of cans required = 96/8=12
By applying formula of area of rectangle we got that if susie is painting a wall that is 12 feet tall and 9 feet wide if each can of paint has enough paint to cover 8 square feet then total 12 cans of paint will susie need to cover the whole wall.
To learn more about rectangle visit : https://brainly.com/question/25292087
A triangle has the dimensions shown. The perimeter of
the triangle would be represented by which type of
expression?
linear expression
4x – 2
quadratic expression
exponential expression
rational expression
3x + 1
Answer:
A. linear expression
Step-by-step explanation:
Just got it right on the test.
Answer:
A
Step-by-step explanation:
edg
What is the slope of the line that passes through the points (-2,-4) and (3,5)
Answer:
the slope is 1.8
Answer:
The slope is 1.8
Step-by-step explanation:
m=9/5=1.8
10-ounce package of cashews costs $8.11, and a 16-ounce package of cashews costs $12.
a. What is the cost per ounce for the 10-ounce package of cashews?
b. What is the cost per ounce for the 16-ounce package of cashews?
c. Which package is the better buy?
a. $0.811
b. $0.75
c. 10-ounce package of cashews costs $8.11 is better then a 16-ounce package of cashews costs $12
Step-by-step explanation:
Here we have , 10-ounce package of cashews costs $8.11, and a 16-ounce package of cashews costs $12.
a. What is the cost per ounce for the 10-ounce package of cashews?
cost per ounce for the 10-ounce package of cashews = [tex]\frac{8.11}{10}[/tex]
cost per ounce for the 10-ounce package of cashews = $[tex]0.811[/tex]
b. What is the cost per ounce for the 16-ounce package of cashews?
cost per ounce for the 16-ounce package of cashews = [tex]\frac{12}{16}[/tex]
cost per ounce for the 16-ounce package of cashews = $[tex]0.75[/tex]
c. Which package is the better buy?
10-ounce package of cashews costs $8.11 is better then a 16-ounce package of cashews costs $12 , because cost per ounce for the 10-ounce package of cashews = $[tex]0.811[/tex] is greater then cost per ounce for the 16-ounce package of cashews = $[tex]0.75[/tex]
The cost per ounce for the 10-ounce package of cashews is $0.811, and the cost per ounce for the 16-ounce package is $0.75. The 16-ounce package is the better buy.
Explanation:a. To find the cost per ounce for the 10-ounce package of cashews, we divide the total cost by the number of ounces. $8.11 ÷ 10 ounces = $0.811 per ounce.
b. To find the cost per ounce for the 16-ounce package of cashews, we divide the total cost by the number of ounces. $12 ÷ 16 ounces = $0.75 per ounce.
c. The better buy is the package with the lower cost per ounce. Therefore, the 16-ounce package of cashews is the better buy.
Learn more about cost per ounce here:https://brainly.com/question/35501256
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15 is 0.2% of what number? Please answer!
Answer:
7500
Step-by-step explanation:
0.2 x 7500 divided by 100 =15
Please provide steps
Answer:
623 mm
Step-by-step explanation:
Divide the figure into two separate figures and then add the ares together. To do this, the bottom nust be a rectangle and the top a square. The dimensions of the rectangle will be 32 x 15 since the opposite sides of a rectangle are always equivalent. The dimensions of the top shape are 13 x 11 since the 26 - 15 = 11.
So now find the area of the rectangles and add them together:
15 x 32 = 480
13 x 11 = 143
143 + 480 = 623
The area of the figure is 623 mm
5. Find the measure of angle A
Answer:
where is the angle if angle is not there nobody can answer this question.
Use substitution to find th
7) 4x – 2y = -22
-x+ y=3
Answer:
y = -5
Step-by-step explanation:
x= (-22+2y)/4 = -3+y
-22+2y = 4(-3+y)
-22+2y = -12+4y
-22+12 = 4y-2y
-10 = 2y
-10/2 = y
-5 = y
Answer:
x = -8
y = -5
Step-by-step explanation:
From the given expression, let's make two equations
4x - 2y = - 22--------------------------(i)
-x + y = 3-----------------------------(ii)
to easily substitute, lets make another equation from equation (ii)
y = 3 + x
substitute (y=3+x) in equation (i)
4x - 2 (x+3) = -22
4x - 2x - 6 = -22
2x - 6 = -22
2x = -22 + 6
2x = - 16
x = -16 / 2
x = - 8
lets solve for (y) by substituting (x = - 8) in equation (ii)
- (- 8) + y = 3
8 + y = 3
8 + y = 3
y = 3 - 8
y = - 5
Therefore:
x = - 8
y = - 5
PLEASE FIND ATTACHED FILE
Maths is fun, keep learning!
Solve for x. Write the smaller solution first, and the larger solution second. (3x -6)(-x +3)=0(3x−6)(−x+3)=0
x= 2,3
hope that helped
Reyna has 7 coins worth 5 cents each and 3 coins worth 10 cents each.
If she chooses two of these coins at random, what is the probability
that the two coins together will be worth at least 15 cents?
Answer:
1/5
Step-by-step explanation:
because there is 10 coins and two specific coind you are trying to get and 2/10 simplified is 1/5
The probability that the two randomly selected coins from Reyna's collection will total at least 15 cents is 8/45.
Probability Calculation
To determine the probability that Reyna's two randomly selected coins will total at least 15 cents, we must first calculate the total number of possible outcomes when choosing two coins from the ten that she has (7 nickels and 3 dimes).
Using the combination formula, which is C(n, k) = n! / [k!(n-k)!], we find that the total number of ways to choose 2 coins from 10 is C(10, 2) = 10! / (2!8!) = 45.
The favorable outcomes in this scenario are cases where Reyna picks either two dimes or one nickel and one dime. There is only one way to pick two dimes, and there are 7 ways to pick one nickel and one dime (because she could pick any of her 7 nickels along with one of the 3 dimes). So, there are 7 + 1 = 8 favorable outcomes.
The probability of picking coins that total at least 15 cents becomes the number of favorable outcomes divided by the total number of outcomes, which is 8/45.
Therefore, the probability that the two coins together will be worth at least 15 cents is 8/45.
Drag a statement or reason to each box to complete this proof. If −3(x+8)=−21, then x=−1.
Answer:
Yes, this is true.
Step-by-step explanation:
If you substitue x for -1 you get -3(-1+8)=-21, Then you add -1 and 8 so you should get 7. After, you multiply 7 times -3 you get -21. Proving this statement is correct.
Answer:
See below.
Step-by-step explanation:
We can solve for x:
−3(x+8) = −21
Distribute the -3 over the parentheses:
-3x - 24 = -21
Add 24 to both sides:
-3x -24 + 24 = -21 + 24
-3x = 3
Divide both sides by -3:
x = -1.
So that proves the original equation.
3. Select True or False for each statement about the function y = -9x - 4.
A. The coefficent of x2 is 1.
B. The graph of the function opens up.
000001
tooooo
C. The graph of the function is not a straight line.
D. For positive values of x, as x increases the function decreases,
E. The function does not contain the origin.
Answer: Teacher graded mine and it was: false, true, true, false, true
Step-by-step explanation:
5(y+1)=30 solve for y
Answer:y=5
Step-by-step explanation:
5(y+1)=30
Divide both sides by 5
5(y+1)/5=30/5
We get y+1=6
Subtract 1 from both sides
y+1-1=6-1
We get y=5
where does the line y= -3x+7 cross the y-axis
Answer:
(0, 7 )
Step-by-step explanation:
Where the line crosses the y- axis the x- coordinate of the point is zero.
Substitute x = 0 into the equation and evaluate for y
y = - 3(0) + 7 = 0 + 7 = 7 ⇒ (0, 7 )
Explain why receiving a 15% discount is the same as finding 85% percent of the original cost of an item. Then, explain how the mathematical properties and equivalent expressions helped them understand and solve the problem. Please answer!!
Answer:
15% discount means you're paying 85% of the marked price because total is 100% and 100-15 = 85%
Let X be the naked price
Paid = marked price - discount
Paid = X - (15/100 × X)
Using distribution property,
Paid = X(1 - 15/100)
Paid = X[(100-15)/100]
Paid = X(85/100)
Which is 85/100 × X
Hence 85% of X
Answer: 85% = 0.85
While 15% = 0.15
Step-by-step explanation:
Percentage is a fraction whose denominator is 100. So if we say 15%, we mean 15/100 = 0.15.
If want to find 15% of a 100, it means 15% of 100 = 15/100 × 100 = 15.
To find 85 % of 100 means 85/100 × 100= 85
hence subtraction of 15% from 100% is 85%
Therefore 15% = 15/100 = 0.15
While 85% is 85/100 = 0.85
What is the measure of ∠P, to the nearest degree?
24°
42°
55°
101°
A scalene triangle P Q R. Side P Q is labeled as 5 feet. Side Q R is labeled as 10 feet. Side P R is labeled as 12 feet.
Answer:
55°
Step-by-step explanation:
use The Law of Cosines
cos p = (PR² + PQ² - QR²) / 2 x PR x PQ
= (144 + 25 - 100) / 120
= 69 / 120
=0.575
∠P = 55°
Answer:
55 degrees
Step-by-step explanation:
i took the test
Graph y=-2x+4 and y=-6x what are the intersections points for x and y
Answer:
The graph is attached.
The intersection point: [tex](-1,6)[/tex]
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
[tex]y=mx+b[/tex]
Where "m" is the slope and "b" is the y-intercept.
When the line passes through the origin, the equation is:
[tex]y=mx[/tex]
Where "m" is the slope of the line.
Given the following equation of the line in Slope-Intercept form
[tex]y=-2x+4[/tex]
You notice that:
[tex]m=-2\\\\ b=4[/tex]
Knowing the slope and the y-intercept, you can graph it.
The other line is:
[tex]y=-6x[/tex]
As you can identify, this line passes through the origin and its slope is:
[tex]m=-6[/tex]
Then, you can graph it.
Observe the graph attached.
You can identify that the point in which both lines intersect, is:
[tex](-1,6)[/tex]
Prove algebraically what type of function this is (even, odd, or neither).
The given function is even.
Solution:
Given function:
[tex]f(x)=x^{6}-x^{4}[/tex]
If f(-x) = -f(x), then the function is odd.
If f(-x) = f(x), then the function is even.
[tex]f(x)=x^{6}-x^{4}[/tex]
Substitute x = -x
[tex]f(-x)=(-x)^{6}-(-x)^{4}[/tex]
[tex]=x^{6}-x^{4}[/tex]
= f(x) (given)
f(-x) = f(x)
From the definition, it is even.
Hence the given function is even.
the perimeter of an equilateral triangle is givn as 15x+30. write two different expressions to represent the perimeter. use factoring to write one of the expressions
Answer:
15x+30 ; 15(x+2)
Step-by-step explanation:
You can write it as it is:
15x+30
OR
15(x+2)
PLZ HELP!!!!!!!! due in 30 minutes im timed!
Answer:
For x=20: difference is 22
Step-by-step explanation:
For f: y increased 5 units (from 1 to 6) when x went from 0 to 10. Being linear, when x=20, f will increase with another 5 units, being 6+5=11.
For g: g(20)=1.5×20+3=33
So, for x=20, f(20)-g(20)=11-33=-22
So the difference is 22.
What is 2 times the difference of 73 and twice the sum of 9 and 4?
This results in a final answer of 94.
The question asks for the calculation of 2 times the difference of 73 and twice the sum of 9 and 4. Let's break it down step by step:
First, calculate the sum of 9 and 4, which is 9 + 4 = 13.Next, multiply this sum by 2 to get twice the sum, which results in 13 imes 2 = 26.The difference between 73 and the result from step 2 is 73 - 26 = 47.Finally, multiply that difference by 2 as per the question, giving us 47 imes 2 = 94.Therefore, 2 times the difference of 73 and twice the sum of 9 and 4 equals 94.
Question 1
Determine the midpoint of the segment with endpoint (-9,3) and (7,-8).
Question 2
Answer:
(-1, -2.5)
Step-by-step explanation:
the midpoint of a segment is [tex](\frac{x1+x2}{2} ,\frac{y1+y2}{2}[/tex][tex])[/tex], given points (x1, y1) and (x2, y2)
[tex]midpoint=(\frac{-9+7}{2}, \frac{3-8}{2} )[/tex] [tex]= (\frac{-2}{2}, \frac{-5}{2} ) = (-1, -2.5)[/tex]
Answer:
m (-1, -2.5)
Step-by-step explanation:
x1=-9 x2=7 y1= 3 y2=-8
-9+ 7 3+ -8
m= ------------ , -----------
2 2
m= -2/2, -5/2
m (-1, -2.5)