Answer:
1. B.) (3x=2) Meters
2. D.) 16
3. D.) 85cm
Match the graph to the solution of the system of equations.
(-4, 3)
(-1, 4)
(3, -3)
(3, 4)
(3, -4)
(4, 3)
(4, -1)
Answer:
see explanation
Step-by-step explanation:
The solutions to the system of equations is at the point of intersection of the 2 lines.
(3, - 4 ) ← first one
(- 1, 4 ) ← second one
(3, - 3 ) ← third one
(3, 4 ) ← fourth one
What is the solution of log (2t+4) = log (14+3t)
Which of the following is the multiplicative inverse of 4?
16
-4
1/4
-1/4
Realize the logical function OUT using CMOS logic (Switch-Switch)
_ _ _
OUT = c + (AB)
student submitted image, transcription available below
Build the truth table and the corresponding diagram.
CMOS logic gates can be implemented using transistors where the input signal is applied to the gate terminal of MOSFET (Metal Oxide Semiconductor Field Effect Transistor) and output is taken from the drain terminal of MOSFET.
Given: Logical function OUT = c + AB using CMOS logic (Switch-Switch)
We need to draw the truth table and the corresponding diagram for the given logical function using CMOS logic.
CMOS (Complementary Metal Oxide Semiconductor) technology is used to implement digital circuits with high speed and high noise immunity. It is widely used in VLSI technology.
The given logical function using CMOS logic is as follows.
OUT = c + (AB)
CMOS logic gates can be implemented using transistors where the input signal is applied to the gate terminal of MOSFET (Metal Oxide Semiconductor Field Effect Transistor) and output is taken from the drain terminal of MOSFET.
In CMOS technology, MOSFETs are used in pairs to implement logic gates as shown below:
Truth table for the given logical function using CMOS logic (Switch-Switch):
The truth table can be obtained by following the below steps:
Let c= 0 (open switch) then the expression becomes OUT = AB
Let A = 0 and B = 0, then OUT = 0+0=0
Let A = 0 and B = 1, then OUT = 0+0=0
Let A = 1 and B = 0, then OUT = 0+0=0
Let A = 1 and B = 1, then OUT = 0+1=1
Let c= 1 (closed switch) then the expression becomes OUT = 1+AB
Let A = 0 and B = 0, then OUT = 1+0=1
Let A = 0 and B = 1, then OUT = 1+0=1
Let A = 1 and B = 0, then OUT = 1+0=1
Let A = 1 and B = 1, then OUT = 1+1=1
The truth table is as follows:
Diagram for the given logical function using CMOS logic (Switch-Switch):
The corresponding circuit diagram for the given logical function using CMOS logic is as follows:
Therefore, the diagram for the given logical function using CMOS logic is as shown above.
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The owner purchases 5 buckets, 10 brushes, 48 towels, and 1 case of air fresheners for the car wash. The total cost of the purchases is $144. 8. Each bucket costs $2. 89, each brush costs $7. 91, and each towel costs $0. 36. What is the cost, in dollars, of the case of air fresheners?
The total cost of the purchases is $144. 8. So, the cost of the case of air fresheners is $33.97.
Let's start by calculating the total cost of the buckets, brushes, and towels.
The cost of 5 buckets is
5 buckets x $2.89/bucket = $14.45
The cost of 10 brushes is
10 brushes x $7.91/brush = $79.10
The cost of 48 towels is
48 towels x $0.36/towel = $17.28
So the total cost of the buckets, brushes, and towels is
$14.45 + $79.10 + $17.28 = $110.83
We know that the total cost of all the purchases, including the case of air fresheners, is $144.8. Therefore, we can calculate the cost of the case of air fresheners by subtracting the total cost of the buckets, brushes, and towels from the total cost of all the purchases
$144.8 - $110.83 = $33.97
So $33.97 is the cost of the case of air fresheners.
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N = 2^p x 5^q x 7^r and 500 = 2^2 x 5^3.
The HCF of N and 500 is 2^2 x 5^2.
The LCM of N and 500 is 2^3 x 5^3 x 7.
Find p, q and r
Answer:
p= 2, q = 3and r=1
Step-by-step explanation:
I think this is the answer
hope helps!!!There were 578 piglets and 234 adult pigs in the warehouse building yesterday. Today, 126 piglets were sold, and 46 piglets will be delivered to the market later, How many piglets will be left at the Warehouse?
Answer:
=406 piglets in the warehouse
Step-by-step explanation:
578-126=452
452-46=406
Polaris, the North Star, is very important in navigation because it does not appear to move in the sky.
True
False
Elliott Farms has a silo for storage. The silo is a right circular cylinder topped by a right circular cone, both having the same radius. The height of the cone is half the height of the cylinder. The diameter of the base of the silo is 10 meters and the height of the entire silo is 27 meters. What is the volume, in cubic meters, of the silo
the volume of the silo is approximately 11,657.88 cubic meters.
To find the volume of the silo, we need to calculate the volumes of the cylinder and the cone separately, and then add them together.
The radius of the base of the silo is half the diameter, so it's 10 meters / 2 = 5 meters.
The height of the cylinder is given as 27 meters. Since the height of the cone is half the height of the cylinder, the height of the cone is 27 meters / 2 = 13.5 meters.
The volume of a cylinder is calculated using the formula:
Volume of Cylinder = π * radius^2 * height
Plugging in the values, we get:
Volume of Cylinder = π * 5^2 * 27 = 3375π cubic meters (approximately 10,598.07 cubic meters)
The volume of a cone is calculated using the formula:
Volume of Cone = (1/3) * π * radius^2 * height
Plugging in the values, we get:
Volume of Cone = (1/3) * π * 5^2 * 13.5 = 337.5π cubic meters (approximately 1059.81 cubic meters)
Adding the volumes of the cylinder and the cone, we get:
Volume of Silo = 3375π + 337.5π = 3712.5π cubic meters (approximately 11,657.88 cubic meters)
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When you fold a piece of a piece of paper in half, the thickness of the folded piece is twice the thickness of the original piece. A piece of copy paper is about 0.1 mm thick.
Part 1
How thick is a piece of copy paper that has been folded in half 7 times?
The piece of paper is about
1.28
cm thick after being folded 7 times.
Part 2 out of 2
Suppose that you could fold a piece of copy paper in half 12 times. How thick would it be? Write your answer in centimeters.
The piece of paper is about
cm thick after being folded 12 times.
Answer:
Part A: 6.4 MM Part B: 20.48 CM
Step-by-step explanation:
Every time the paper is folded, the thickness increases by a multiple of 2. This means that this is a gerometric Sequence, since there is a mulitplyer, or ratio, value.
Al is the first value in the seqence so,
A1 =0.1
r is the ratio multiplyer since each fold dubles the thickness the multiplier is 2.
r=2
Part A
The Thickness of the paper folded 7 times is 6.4 mm
Part B
The Thickness of the paper folded 12 times is 204.8mm
Convert this value into centimeters divide it by 10. So the final answer is 20.48 cm
The theoretical thickness of the piece of paper is not achievable in reality.
What is the geometry of a piece of paper?The geometry of a piece of paper is a two-dimensional flat shape that can be described as a rectangle or square.
In geometry, a rectangle is a quadrilateral with four right angles (90-degree angles) and opposite sides that are equal in length.
A square is a special case of a rectangle, where all four sides are equal in length.
We have,
It's important to note that it is not possible to fold a piece of paper in half more than about 7-8 times due to the physical limitations of the paper's size and thickness.
However, we can still calculate the theoretical thickness of a piece of copy paper that has been folded 12 times.
Part 1:
When a piece of paper is folded in half once, the thickness doubles, so the thickness after one fold is:
0.1 mm x 2 = 0.2 mm
After the second fold, the thickness doubles again:
0.2 mm x 2 = 0.4 mm
We can see that with each fold, the thickness doubles.
So after 7 folds, the thickness would be:
0.1 mm x \(2^7\) = 12.8 mm
Converting to centimeters, we get:
12.8 mm = 1.28 cm
Part 2:
Using the same doubling logic, we can find the theoretical thickness of a piece of paper folded 12 times:
0.1 mm x \(2^{12}\) = 40.96 mm
Converting to centimeters, we get:
40.96 mm = 4.096 cm
However, as mentioned earlier, it is not possible to fold a piece of paper in half more than about 7-8 times due to physical limitations.
So this theoretical thickness is not achievable in reality.
Thus,
The theoretical thickness of the piece of paper is not achievable in reality.
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Which of the following can tell us the variation of data within a group of samples? (Check all correct options)
a. T-value
b. Variance
c. Standard deviation
d. Mean
Variance and Standard deviation can tell us the variation of data within a group of samples.
What is a variance?
Variance is a term used in probability theory and statistics to measure how far a group of numbers are spread out from their mean value.
In the context of hypothesis testing, the variance of two groups of data is compared to see if they are statistically significant.
A smaller variance indicates that the data points are closer together, whereas a larger variance indicates that the data points are farther apart.
What is Standard deviation?
The standard deviation is the square root of the variance, and it is used to express the average distance that data points deviate from the mean in a group of samples.
It is used in statistics to measure how tightly a set of data is clustered around its mean.
What is Mean?
The average value of a group of numbers is referred to as the mean.
It is calculated by adding all of the numbers together and then dividing by the total number of numbers.
What is T-value?
The t-value is used to test the null hypothesis, which states that there is no significant difference between two groups of data.
The t-value is calculated by subtracting the mean of one group from the mean of the other group and then dividing by the standard deviation of the two groups combined.
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find the net change in the value of the function between the given inputs. f(x) = 6x − 5; from 1 to 6
The net change in the value of the function between x = 1 and x = 6 is 30.
To find the net change in the value of the function between the inputs of 1 and 6, we need to find the difference between the output values of the function at x = 1 and x = 6, and then take the absolute value of that difference.
First, we can find the output value of the function at x = 1:
f(1) = 6(1) - 5 = 1
Next, we can find the output value of the function at x = 6:
f(6) = 6(6) - 5 = 31
The net change in the value of the function between x = 1 and x = 6 is the absolute value of the difference between these two output values:
|f(6) - f(1)| = |31 - 1| = 30
Therefore, the net change in the value of the function between x = 1 and x = 6 is 30.
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√9pr / (pr)^-3/2 =
A. √3pr
B. 3/pr
C. 3√pr
D. 3pr
E. 3p²r²
Answer:
E
Step-by-step explanation:
=√9pr / (pr)^-3/2
=3√(pr) × (pr)^3/2
= 3p²r²
Answer:
E. 3p²r²
Step-by-step explanation:
√9pr / (pr)^-3/2=
3(pr)^1/2*(pr)^3/2=
3(pr)^(1/2+3/2)=
3(pr)^2=3p^2r^2
Pythagorean theorem!! If you have a leg that is 10in long and the hypotenuse is 26in long, what is the length of the other leg?
Answer:
a = 24 inches
Step-by-step explanation:
a^2 + b^2 = c^2
a^2 + 10^2 = 26^2
a^2 + 100 = 676 ////// -100 both sides
a^2 = 576
a = 24 /////UNITS!
a = 24 in.
Find x. I need it ASAP
Answer:
x = 27°
Step-by-step explanation:
Because of the two parallel lines, we can conclude that
corner DAB = corner FDE = 2x
In ∆DAB
Corner DAB = 2x
Corner BDA = 2x (given)
Corner ABD = 72 (given)
The sum of three corners in any trianle, adds up to 180°.
So if one corner is 72° and the other two corners are the same, then the two corners together, must be 180-72 = 108°.
For each corner that is 108/2= 54
so corner BDA = 54° and also corner DAB = 54°.
Given was BDA = 2x and BDA = 54°
so 2x = 54°
then x = 27°
Several classes in your school are going on a field trip. To transport the students, the teachers rent buses and vans. A total of 120 students are going on this field trip. Each bus can seat 24 students, and each van can seat 8 students. (a) Write a linear equation that describes the relationship of the number of buses and the number of vans needed, assuming exactly 120 students need transportation. (b) If the teachers rent 4 buses, how many vans will they need to transport all the students? (c) If the teachers rent 6 vans, how many buses will they need to transport all the students? (d) Suppose the teachers rented only vans. How many vans would they need? Show your work, and explain your answer. (e) Suppose the teachers rented only buses. How many buses would they need? Show your work, and explain your answer.
a) A linear equation that describes the relationship between the number of buses and the number of vans needed for 120 students is 24x + 8y = 120.
b) If the teachers rent 4 buses, the number of vans they will need to transport all the students is 3.
c) If the teachers rent 6 vans, the number of buses they will need to transport all the students is 3.
d) If the teachers rent only vans, the number of vans needed will be 15.
e) Suppose the teachers rented only buses, the number of buses needed will be 5.
What is a linear equation?A linear equation is an algebraic equation of the form y = mx+b.
A linear equation involves a constant and a first-order (linear) term, with m as the slope and b as the y-intercept.
The total number of students on the field trip = 120
The number of students a bus can seat = 24
The number of students a van can seat = 8
Linear equation:Let the number of buses = x and the number of vans = y
24x + 8y = 120
b) Renting 4 buses, the number of vans needed:
24(4) + 8y = 120
96 + 8y = 120
8y = 24
y = 3
c) Renting 6 vans, the number of buses will be:
24x + 8(6) = 120
24x = 48 = 120
24x = 72
x = 3
d) Renting only vans, the number needed will be:
24(0) + 8y = 120
8y = 120
y = 15
e) Renting only buses, the number needed will be:
24x + 8(0) = 120
24x = 120
x = 5
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Which equation could Sameer use to solve for the value of n if n + 13 = 17?
Answer:
n = 17-13
Step-by-step explanation:
n+13=17
Subtract 13 from each side
n+13-13 = 17-13
n = 17-13
Solve using the quadratic formula.
9p2 - 4p - 8 = 0
2\times 3x\times y\times 4z\times 2x\times y\times z
Step-by-step explanation:
48{x}^{2} {y}^{2} {z}^{2}
Answer:
\(48x^2y^2z^2\)
Step-by-step explanation:
\(2 \times 3x \times y \times 4z \times 2x \times y \times z\)
\(=> 2 \times (3x \times 2x) \times (y \times y) \times (4z \times z)\)
\(=> 2 \times 6x^2 \times y^2 \times 4z^2\)
\(=> 48x^2y^2z^2\)
The test scores for the Chapter 5 test in Algebra I were:75,95,90,95,60,95,75,95,90Question:a. Find the mean, median, mode, and range of the data.b. Which measure best describes the set of data? Why?c. If test scores of 65 and 75 were added to the set, what would happen to the mean?
Answer:
mean : 85.6
mode : 95
median : 90
range : 35
Step-by-step explanation:
B The mean
The reason why is because it shows the average test score of all the students .
C The mean would decrease because there is more numbers to divide by after adding all of them together .
If the sample correlation coefficient of x and y is r=0, which of the following statements is correct?
-the least squares estimate in linear regression
-the least squares estimate in linear regression
-the least squares estimate in linear regression
statistics
-x and y are independent
-there is no relationship between x and y
If the sample correlation coefficient of x and y is r = 0, x and y are independent. Thus, option C is the answer.
The coefficient of correlation measures the statistical relationship between two variables. It is denoted by "r". The value lies between - 1 and + 1.
When r is 1 it means there is a perfect positive correlation. When r is -1 it means there is a perfect negative correlation. When r is 0 it means there is no correlation.
Thus, the two variables are independent. There is no linear relationship between the two variables. Change in one variable has no impact on another variable.
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Divide the amount of white sugar by the amount of brown sugar. What is the quotient? 3over 8 ,2over3,2, or 2and 2 3rds
By dividing the amount of white sugar by brown sugar we get, 2 2/3. The quotient is 2.
A fraction is a numerical quantity that is not a whole number. In other words, fraction can be defined as a small or tiny part, amount, or proportion of something.
A fraction represented with its quotient and remainder is a mixed fraction. In other words, a mixed fraction is a combination of a whole number and a proper fraction.
Amount of white sugar ÷ Amount of brown sugar
2/3 ÷ 1/4
2/3 × 4/1
8/3
2 2/3.
Here quotient is 2 and 2 is the remainder.
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h bvv bv
can you help me please.
Answer:
Step-by-step explanation:
-x + 2y = 16
y = mx + 8
Start with the top equation. Add x to both sides.
-x + 2y + x = x + 16 Combine the left
2y = x + 16 Divide by 2
2y/2 = (1/2)x + 1/2(16)
y = 1/2 x + 8
If m = 1/2, both equations together will give an infinite number of solutions.
Give the basic units that are used in surveying for length, area, volume, and angles in (a) The English system of units. (b) The SI system of units.
Answer: (a) The English system of units used in surveying:
Length: The basic unit of length is the foot (ft).
Area: The basic unit of area is the square foot (ft²).
Volume: The basic unit of volume is the cubic foot (ft³).
Angles: The basic unit of angles is degrees (°).
(b) The SI (International System of Units) system of units used in surveying:
Length: The basic unit of length is the meter (m).
Area: The basic unit of area is the square meter (m²).
Volume: The basic unit of volume is the cubic meter (m³).
Angles: The basic unit of angles is the degree (°) or the radian (rad).
It's worth noting that while the English system is still used in some countries, the SI system is the globally recognized and widely adopted system of measurement.
Step-by-step explanation:
Nga's car insurance premium increased by $60, which was 8% of the original cost. What was the original cost of premium?
Answer:
$750
Step-by-step explanation:
If p represents the original cost, the relationship expressed in the problem statement is ...
60 = 0.08p
Dividing by 0.08, we find ...
p = 60/0.08 = 750
The original cost of the premium was $750.
Write an equation in slope-intercept form for the line with slope -2/3
and y-intercept -4.
Step-by-step explanation:
Given
slope (m) = - 2/ 3
Y-intercept (c) = - 4
Now writing in Slope intercept form
y = mx + c
y =( - 2/3) x - 4
Hope it will help :)
I need to divide 3/4÷1/8
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
Because you could type in the calculator, (3÷4) ÷ (1÷8) = 6
Pens and Pencils
Mrs. Charles ordered 150 pencils and 225 pens for the academy store. The pens cost 15 cents more than the pencils. Mrs. Charles’ total order was $135. Mrs. Charles was quite surprised by this amount as she thought the total would be $120.
If the cost of one pencil and one pen is 69 cents, who do you think is right, the supplier or Mrs. Charles? Support your answer with
mathematical evidence.
What is the cost of each pencil? Each pen? Support your answer with mathematical evidence.
The following system of equations is graphed below.
Find the solution to the system.
-2x+3y=-3
2x + 5y = 27
Answer:
(6,3)
Step-by-step explanation:
PLEASE HELP ASAP!!
Solve the equation below.
A. 196
B. 198
C. 243
D. 248
Answer:
196
Step-by-step explanation:
I calculated it with my calculator