Write inequalities that describe the following statements. (But don't solve them!) a) The sum of two natural numbers is less than 22. b) A computer company manufacturers tablets and personal computers. The plant equipment limits the total number of both that can manufactured in one day. No more than 180 can be produced in one day. c) A farmer grows tomatoes and potatoes. At most, $9,000 can be spent on seeding costs and it costs $100/acre to plant tomatoes and $200/acre to plant potatoes. d) Wei owns a pet store and wishes to buy at least 8 cats and 10 dogs from a breeder. Cats cost $35 each and dogs cost $150 dollars each. Wei does not want to spend more than $1,700 in total.

Answers

Answer 1

a) The sum of two natural numbers is x + y < 22.

b) The total number of tablets and personal computers manufactured is t + c ≤ 180.

c) The spending limit on seeding costs for tomatoes and potatoes is 100t + 200p ≤ 9,000.

d) The minimum number of cats and dogs Wei wants to buy from the breeder is c ≥ 8, d ≥ 10, and the total cost is 35c + 150d ≤ 1,700.

a) Let x and y be natural numbers. The inequality representing the sum of two natural numbers being less than 22 is x + y < 22.

b) Let t represent the number of tablets and c represent the number of personal computers manufactured in one day. The inequality representing the plant equipment limitation is t + c ≤ 180.

c) Let t represent the number of acres planted with tomatoes and p represent the number of acres planted with potatoes. The inequality representing the seeding cost limitation is 100t + 200p ≤ 9,000.

d) Let c represent the number of cats and d represent the number of dogs bought from the breeder. The inequalities representing the number of pets and cost limitations are c ≥ 8, d ≥ 10, and 35c + 150d ≤ 1,700.

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Related Questions

Vance bought 2 packages of large beads and 1 package of medium beads. He bought 2 packages of large buttons and how many more beads than more buttons did vance buy

Answers

There are 472 more buttons bought by Vance than beads.

Define the term difference of number?One of the most crucial arithmetic operations, that is obtained by removing two integers, produces difference in mathematics.

For the stated question table is made.

So,

Total number of beads bought by Vance = Number of beads(2 packages of large beads) + Number of beads(1 package of medium beads).

= (2 × 96) + (1 × 64)

= 2 × (90 + 6) + 64

= (2 × 90) + (2 × 6) + 64

= 180 + 12 + 64

= 256 beads

Now,

Total number of buttons bought by Vance = Total number of buttons (2 packages of large buttons) + Number of buttons (2 packages of medium buttons)

= (2 × 56) + (2 × 38)

= 2 × (50 + 6) + 2 × (30 + 8)

= (2 × 50) + (2 × 6) + (2 × 30) + (2 × 8)

= 100 + 12 + 600 + 16

= 728 buttons

Thus,

Difference for the number of buttons and beads

= 728 – 256

= 472 beads

So,

Therefore, there are 472 more buttons bought by Vance than beads.

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Vance bought 2 packages of large beads and 1 package of medium beads. He bought 2 packages of large buttons

I need this answer please tell me the answer

I need this answer please tell me the answer

Answers

Answer:

less than

\(1 \frac{1}{2} \)

I believe

Pigeonhole suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior. is the following statement true or false:

Answers

Suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior: FALSE

What is a sophomore?A sophomore in the United States is a student in their second year at an educational institution, usually a secondary school or a college or university, but also other types of post-secondary educational institutions. A sophomore in high school is equivalent to a tenth-grade or Class-10 student.In sports, a sophomore is a professional athlete in their second season.

As in the description, it is given that a sophomore in high school is equivalent to a tenth-grade or Class-10 student.

So, the above-given statement becomes false as it says that every student is a sophomore but the class has juniors and seniors.

Therefore, the statement "suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior" is FALSE.

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The complete question is given below:

Suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior. Is the following statement true or false:

"The course must have at least five sophomores, or at least 20 juniors, or at least 10 seniors."

which one ?
it says i need 20 characters so i’m just typing this

which one ? it says i need 20 characters so im just typing this

Answers

Answer is B
(B21/415)

Reflect shape A in the line y = -x

Answers

Answer:

Step-by-step explanation:

convert the polar equation to rectangular coordinates. (use variables x and y as needed.) r = 2 csc()

Answers

In this conversion, we assume that θ is not equal to 0 or any multiple of π, as csc(θ) is undefined for those values.

In rectangular coordinates, the equation r = 2csc(θ) can be expressed as:

x = 2cos(θ)

y = 2sin(θ)

To convert the polar equation r = 2csc(θ) to rectangular coordinates, we need to express the equation in terms of x and y.

In polar coordinates, r represents the distance from the origin (0,0) to a point (x, y), and θ represents the angle between the positive x-axis and the line segment connecting the origin to the point.

To convert r = 2csc(θ) to rectangular coordinates, we can use the following relationships:

x = r * cos(θ)

y = r * sin(θ)

First, let's express csc(θ) in terms of sin(θ):

csc(θ) = 1 / sin(θ)

Now, substitute r = 2csc(θ) into the equations for x and y:

x = (2csc(θ)) * cos(θ)

y = (2csc(θ)) * sin(θ)

Using the relationship between csc(θ) and sin(θ), we can rewrite the equations as:

x = (2/sin(θ)) * cos(θ)

y = (2/sin(θ)) * sin(θ)

Simplifying further:

x = 2cos(θ)

y = 2sin(θ)

Therefore, in rectangular coordinates, the equation r = 2csc(θ) can be expressed as:

x = 2cos(θ)

y = 2sin(θ)

Note: In this conversion, we assume that θ is not equal to 0 or any multiple of π, as csc(θ) is undefined for those values.

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Correct question- How do you convert the polar equation  r = 8cscθ into rectangular form?

Starting at 1:00 p.M., The temperature changes -4 degrees Fahrenheit per hour. Write and solve an equation to find how many hours (x) it will take to reach -1 °F.

Answers

Answer: it will take 5 hours to reach -1 °F.

Step-by-step explanation:

The temperature changes -4 degrees Fahrenheit per hour. This is a linear rate. The rate at which the temperature is decreasing is in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1)d

Where

a represents the first term of the sequence(the starting point)

d represents the common difference.

n = x = the number of terms in the sequence(number of hours)

From the information given,

a = 0(at 1 pm, number of hours is 0)

d = - 4 degrees (it is decreasing)

Tn = -1 °F.

We want to determine the number of hours, x when Tn = -1 °F

Therefore,

- 1 = 0 + (x - 1)- 4

- 1 = - x + 4

x = 4 + 1

x = 5 hours

Pls help and actually answer the question pls

Pls help and actually answer the question pls

Answers

Answer:

y = |x - 1|

Step-by-step explanation:

This is an absolute value function in the form g(x) = |x - h| + k, where

(h, k) is the vertex, (1, 0).  Substitute these values into the function to get the equation of the graph:

y = |x - 1| + 0 = |x - 1|

Need help asap work due in under 40 minutes

Need help asap work due in under 40 minutes

Answers

Answer:

m∠FAL = 119°

Step-by-step explanation:

Need help asap work due in under 40 minutes

math help please and thank you

Answers

for what? :)  .

...................

whats the question ‍♀️

Insert 5 arithmetic means between 18 and -12.​

Answers

The 5 arithmetic means between 18 and -12 are; ​-7, -2, 3, 8, 13

What is the Arithmetic Mean?

Arithmetic Means is defined as the branch of mathematics that deals with the properties as well as the manipulation of numbers.

The formula for the nth term of an arithmetic mean is;

an = a + (n - 1)d

where;

a is first term

d is common difference

n is position of term

In this case, we want 5 terms between 18 and -12 and this means we have a total of 7 terms. Thus;

a = -12

a₇ = 18

18 = -12 + (7 - 1)d

18 + 12 = 6d

30 = 6d

d = 5

a₂ = -12 + (2 - 1)5

a₂ = -12 + 5

a₂ = -7

a₃ = -12 + (3 - 1)5

a₃ = -12 + 10

a₃ = -2

a₄ = -12 + (4 - 1)5

a₄ = 3

Thus;

a₅ = 8

a₆ = 13

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Which expression is equivalent to 6x2/3??

A. 3 x 1/3
B. 4 x 1/3
C. 8 x 1/3
D. 12 x 1/3

Please help ASAP!!


Answers

Answer:

D. 12 x 1 / 3

Step-by-step explanation:

6 x 2 / 3

= ( 6 x 2 ) / 3

= 12 / 3

= 12 x 1 / 3

Answer: D

6*2/3=4

A. 1
B. 4/3
C. 8/3
D. 4

solve the following
2(X+3)=X-4​

Answers

Answer:

2(x+3)=x-4

2x+6=x-4

2x-x=-4-6

x=-10

2(x+3)=x-4

2x+6=x-4

2x-x=-4-6

x=-10

A(n) _______ design is used when the researcher wants to test a relationship between existing variables, and a(n) _______ design is used when a research wants to test a causal link between variables.

Answers

A(n) "correlational" design is used when the researcher wants to test a relationship between existing variables. This design aims to determine the degree to which two variables are related or associated with each other. In a correlational design, the researcher measures the variables of interest and examines the statistical relationship between them, typically using correlation coefficients.

On the other hand, a(n) "experimental" design is used when a researcher wants to test a causal link between variables. In an experimental design, the researcher manipulates one or more independent variables and measures the effect on a dependent variable. By controlling for confounding variables and using random assignment, an experimental design allows for causal inferences to be made.

It's important to note that while correlational designs can provide valuable insights into the relationships between variables, they do not establish causality. Experimental designs, on the other hand, provide stronger evidence for causal relationships by systematically manipulating variables.

A(n) \(\textbf{correlational}\) design is used when the researcher wants to test a relationship between existing variables.

A(n) \(\textbf{experimental}\) design is used when a researcher wants to test a causal link between variables.

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What is the slope of a line perpendicular to the given line plz

What is the slope of a line perpendicular to the given line plz

Answers

Answer:

it should be the negative repirocal of -2 so 1/2

Answer:

mPerpendicular= 1/2

Step-by-step explanation:

What is the area of the figure?


(NEED THE ANSWER ASAP. PLEASE DONT PUT ANYTHING NONSENSE OR I'LL REPORT U. THANK U FOR UR HELP)

Answers

The area of the given figure is 12 square meters

The given figure is a parallelogram

Parallelogram is a geometric figure that has both pair of opposites parallel sides and opposite sides are equal . Number of vertices and edges are four

The height of the parallelogram = 2 meters

The base length of the parallelogram = 6 meters

The area of the parallelogram = The height of the parallelogram × The base length of the parallelogram

Substitute the values in the equation

The area of the parallelogram = 2 × 6

Multiply the numbers

= 12 square meters

Therefore, the area is 12 square meters

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I have solved the question in general , as the given question is incomplete

The complete question is :

What is the area of the figure ?

What is the area of the figure?(NEED THE ANSWER ASAP. PLEASE DONT PUT ANYTHING NONSENSE OR I'LL REPORT

Times for the three parts of a journey are 20 minutes 40 minutes 1 hour and 30 minutes work out the total time for the journey give your answer in hours

Answers

Total time for whole journey can be calculated by adding the three parts of the journey which would give answer as 2.5 hours.

What is a fraction?

The components of an entire or group of items are represented by fractions. A fraction consists of two components. The numerator is that the figure at the top of the line. It details the amount of equal portions that were taken from the total or collection. The denominator is that the figure that appears below the line.

Main Body:

total time = 20 minutes + 40 minutes + 1 hour 30 minutes

                = 2.5 hours or 5/2 hours.

Hence total time for journey is 2.5 hours.

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an interior design working with a computer program decreases the radius of a circular rug by 10%. By what percent does the area of the circular rug decrease?
Please give an explanation on how to solve this problem, thanks!

Answers

Answer:

The decrease is 21%

Step-by-step explanation:

So lets say the Original area is Pi X (Radius^2)

Lets call Radius as R

For the new radius, it would be: R + 0.1R which is 1.1R

The new area is: Pi X 1.1R^2, which going further is 1.21 after squaring 1.1.

The Original area is: Pi X Radius^2

To find the percent decrease, subtract the new area by the original, cross out Pi X Radius squared and you are only left with 21%

I am in middle school so I don't know if it is going to be incorrect, but I ask you to give it a try and tell me if it was right or not. I have barely done this topic but recently I had a bonus homework question on a question almost exactly like this and this is the way I did it and I was correct. Thanks! Hope it helped! :)

Answer:

19%

Step-by-step explanation:

I got it correct in the rsm

Factor the expression.
12x+10

Answers

Answer:  2(6x+5)

Work Shown:

12x+10

2*6x+2*5

2(6x+5)

Effectively, we use the distributive property in reverse when it comes to factoring expressions like this.

The distributive property in general is a*(b+c) = a*b+a*c

1) Find the Greatest Common Factor (GCF).

1 What is the largest number that divides evenly into 12 and 10?

It is 2.

2 What is the highest degree of  that divides evenly into 12and 10?

It is 1, since x is not in every term.

3 Multiplying the results above,

The GCF is 22.

2) Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

\(2(\frac{12x}{2}+\frac{10}{2})\)

3) Simplify each term in parentheses.

2(6x+5)

Pls answer ASAP it is almost due TYSMMM


There are 357 people attending a school play.
Assuming that all but one row of seats in the
theatre is completely full and that each row fits
24 people, how many rows of seats are there in
the theatre?

Answers

There are 15 rows of seats in the theater

How to determine the number of rows?

The given parameters are:

Total number of people = 357People per row = 24

The number of rows is calculated as:

Rows = Total number of people/People per row

This gives

Rows = 357/24

Evaluate the quotient

Rows = 14.875

Round up the number

Rows = 15

Hence, there are 15 rows of seats in the theater

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$131,701. 32 is what percent of $790,207. 91?

Answers

To find the percentage, we can use the following formula:

Percentage = (Part / Whole) * 100

So, $131,701.32 is approximately 16.67% of $790,207.91.

In this case, the part is $131,701.32 and the whole is $790,207.91.

Percentage = ($131,701.32 / $790,207.91) * 100

Calculating the value:

Percentage ≈ 0.1667 * 100

Percentage ≈ 16.67%

Therefore, $131,701.32 is approximately 16.67% of $790,207.91.

Alternatively, we can calculate the percentage by dividing the part by the whole and multiplying by 100:

Percentage = ($131,701.32 / $790,207.91) * 100 ≈ 0.1667 * 100 ≈ 16.67%

So, $131,701.32 is approximately 16.67% of $790,207.91.

If you have any further questions, feel free to ask!

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Uva vez. Cuando esto sucede y se tiene un número intermina
ble o infinite de cifras en la parte decimal del numero, a este se le conoce como numero
decimal periódico; es decir, son números decimales que corresponden a las tracciones
que no son equivalentes a una fracción decimal
preguntas y desous
Lata de explicarle to
que entendiste.
s para obte-
Ejemplo: El número decimal 01, donde la Unea sobre la cifra indica que el número se
repite En la conversion
Residuo
-010-010 5 - 01m, et simbolo – significa "apro-
ximadamente iguala", pues 01,010 on son aproximaciones de
3
e residuo?
4. Escriban las fracciones como número decimal y determinen si se trata de un núme-
ro decimal finito o periódico.
.
.
= 0.2
.
12 = 1.75
sel divi-
0.0>
13
2 름
a) ¿Las fracciones cuya expresión en número decimal es periódica tienen una
fracción decimal equivalente? Justifiquen su respuesta. S.
durerador
b) Expliquen cuándo una fracción se puede representar como número decimal fini-
to y cuándo como número decimal infinito periódico y viceversa.
lenominadores
bo?
SANTANA
Expresas fracciones no decimales mediante aproximaciones con numeros
decimales finitos y mediante números decimales periodicos.

Answers

Answer:

can you translate please and i well answer your question!

Step-by-step explanation:

1. a medical researcher needs 10 people to test the effectiveness of an experimental drug. if 20 people have volunteered for the test, in how many ways can 10 people be selected?

Answers

The number of the ways in which the 10 people will be selected is 92378.

What are permutations and combinations?

Permutations and combinations are the numerous methods by which objects from a set can be picked to form subsets, often without replacement.

It is given that a medical researcher needs 10 people to test the effectiveness of an experimental drug. if 20 people have volunteered for the test.

The number of ways in which 10 people will be selected for the test are,

Number of the ways = ²⁰C₁₀

Number of the ways = (20!)/(10!(20-10)!)

Number of the ways = ( 20 x 19 x 18 x 17 x 16 x 15 x 14 x 13 x 12 ) / ( 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2x 1 )

Number of the ways = 32378

Therefore, the number of the ways in which the 10 people will be selected is 92378.

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every year rob reads 12 less books than his friend.
let t represent the number of books that rob reads and let b represent the number of books that his friend reads.
write an equation to represent the relationship between t and b

Answers

B-12 because b is how many books his friend reads and he reads 12 leas than his friend, so b-12

What is -7(1-4m)=13(2m-3)

Answers

Answer:

It is m = -16.

Step-by-step explanation:

-7 (1 - 4m) = 13 (2m - 3)

-7 + 28m = 26m -39

     2m - 7 = -39

      2m = - 32

        m = -16

Answer:

m = -16

Step-by-step explanation:

-7(1 - 4m) = 13(2m - 3)

Distribute -7 into (1 - 4m), and distribute 13 into (2m - 3):

-7(1 - 4m) = 13(2m - 3)

-7 + 28m = 26m - 39

Add 7 to both sides of the equation:

-7 + 28m + 7 = 26m - 39 + 7

28m = 26m - 32

Subtract 26m from both sides of the equation:

28m - 26m = 26m - 32 - 26m

2m = -32

Divide both sides by 2 to solve for m:

\(\frac{2m}{2} = \frac{-32}{2}\)

m = -16

a researcher records the average age for a group of 25 preschool children selected to participate in a research study. the average age is an example of a statistic.

Answers

Statistics is the branch of mathematics that deals with collecting, analyzing, and interpreting data. A statistic is a numerical value that represents a property of a sample of data. A statistic is used to estimate an unknown parameter in a population.

An example of a statistic is the average age of a group of preschool children selected to participate in a research study. The average age is calculated by summing the ages of all the children in the group and dividing by the total number of children. The result is a single number that represents the average age of the group. The use of statistics is essential in research studies, as it helps to make sense of the data collected.

The population from a sample of data. Statistics also helps to identify patterns, trends, and relationships in the data. The average age of a group of 25 preschool children selected to participate in a research study is an example of a statistic.

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how do you write 36.87 in scientific notation

Answers

3.687 x 10 with a small one above the 10

the graph of g(x) = x³ -9x² + 3x -1 is translated up 5 units to produce the graph of the function h(x). what would be the new equation of h(x)​

Answers

Answer:

h(x) = x^3 - 9x^2 + 3x + 4

Step-by-step explanation:

To write the new equation, we have to understand what the translation is about

What it means is that we are going to add the 5 units to the total value of the equation

we have this as:

h(x) = x^3-9x^2 + 3x-1 + 5

h(x) = x^3 - 9x^2 + 3x + 4

The formula A = 1/2 S^2 expresses the area of an isosceles right
triangle in terms of the length, s, of a leg of the triangle.
Which equation expresses the length of a leg of an isosceles right
triangle in terms of the area?

Answers

Answer:

\(s = \sqrt{2a} \)

Step-by-step explanation:

A = 0.5S^2

2A = S^2

Therefore,

\(s = \sqrt{2a} \)

To express the length in terms of the area, is an illustration of change of subject of formula.

The equation that express S in terms of the area is: \(S =\sqrt{2A}\)

Given that:

\(A = \frac 12S^2\)

First, multiply both sides by 2

\(2 \times A = \frac 12S^2 \times 2\)

\(2 \times A = S^2\)

\(2A = S^2\)

Take positive square roots of both sides

\(\sqrt{2A} = \sqrt{S^2\)

\(\sqrt{2A} = S\)

Rewrite the equation as:

\(S =\sqrt{2A}\)

Hence, the equation that express S in terms of the area is: \(S =\sqrt{2A}\)

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Evaluate (18)^2-(15)^2
Please show working.

Answers

Answer:

99

Step-by-step explanation:

You can solve it by Squaring/multiply 18 by itself and 15 by itself then subtract them both:

(18 × 18) - (15 × 15)

324 - 225

99

You could also do difference of two squares:

(x² - y²)

= (x + y) (x - y)

= (18 + 15) (18 - 15)

= (33) (3)

= 99

Answer:

99

Step-by-step explanation:

Evaluate

= (18)^2-(15)^2

= 324 - 225

= 99

Other Questions
You have used the Distributive Property to transform numerical expressions such as (5)(3) + (2)(3) to (5 + 2)(3). How would you transform 5x + 2x into a single term? Substitute five different values into the expressions 5x + 2x and 7x - 1. What do you notice about the values of the expressions? Is there any value that would make the two expressions equal? Why or why not? No Response(s) Be the first to respond to the Discussion topic!This is 100 pts Which phase of a rep involves contracting and shortening the muscles youre training An example of a bariatric surgical procedure used for treating severely or morbidly obese individuals is called PROCEDURES/RESULTS: Task A. Decimal to BCD Encoder circuit (2.5 marks) 1. Connect the circuit of figure 1 using the 74147 IC (see IC pin configuration). +5V 11 16 2 12 9 401 16VCc 150 NC 13 512 613 14 D 1 B 704 130 3 Decimal inputs BCD outputs 85 120 2 7+147 2 Cis 1101 C 3 817 101 9 91 A 4 GND 8 5 9 10 Figure 1: Decimal to BCD encoder circuit using 74147 IC and IC Pin Configurations (1.25marks) Table 1. Truth Table of Decimal to BCD encoder (1.25 marks) Active-Low Decimal Inputs 2 3 4 5 6 7 8 9 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 X 0 1 1 1 1 1 X X X 0 1 1 1 X X X X 0 1 1 X X X X X 0 1 1 X X X X X X 0 1 O X X X X X X X X 1 0 I Note: Numbers 1-9 are the inputs which are initially should be at 1 or HIGH (should be connected to +5VDC); 0 or LOW means input should be set into the OV or ground; X means don't care condition. The four outputs (A, B, C, and D) should be connected to the LED's. 1 1 0 X X X 1 0 X X X X X X 3 4 10 5 6 789 ? 1 1 1 1 A A 1 1 Active-Low BCD Outputs D C B A I 1 1 1 A 1 1 D 1 + ( 1 1 [0]. 0 0/0/0/0+ Glo 1 0-0 1 01 1 101-101A 0 0 0 0 0 0 0 0 1 1 Task B. BCD to 7-Segment Decoder circuit (2.5 marks) +5VDC RI www R2 ww R3 A 16 13 www 12 B 11 R4 Common Anode 7447 or 7446 10 ww Common Cathode Ond RS 2 9 ww D 15 BEN 6 8 14 R7 ww 9 Figure 2: BCD to 7 segment decoder circait; decoder IC and 7 segment display pin configurations (1.25 marks) Table 2. Truth Table of BCD to 7 segment decoder (1.25 marks) BCD inputs Segments output D B C d a b e 0 0 0 I T 1 ( 0 0 T C 0 0 1 1 1 1 0 0 ? H olc 0 1 1 0 0 1 1 0 0 0 1 0 1 0 1 0 O T 1 1 1 doo ( ( 1 1 b C O T GOO L O 1 D O 1 1 O 1 1 0 1 T 8.8. 1 lot G 1 ( 1 1 alali O DEO O 7 1 0 1 1 Numerical Output 1 3 4 S 61H0 7 8 92. The 74147 is an IC type where data inputs and outputs are active at a low logic this implied in the encoder circuit that you connected to that in Figure 17 (0.25 mark) L.. 14. -18~ we P 3. If all the inputs of 74147 IC are at logic "1", what is its equivalence in decimal numbers? In BCD numbers? (0.25 mark) Tim 4. What decoder IC is required for a common cathode and common anode seven segment display? (0.25 mark) 5. How will you connect a common anode and a common cathode seven segment display in the +5VDC power supply? (0.25 mark) 6. What is the purpose of the resistors at the output of the decoder IC before connecting it to the seven- segment display? Damon is late to class. His professor, Dr. Goldberg, believes the tardiness happened because of the traffic jam. Dr. Goldberg is making a(n) ___________. Group of answer choices just world hypothesis external attribution self-serving bias internal attribution A metal cube has edges of length a=10 cm, at a temperature of 0C. When heated to 100C, the volume of the cube is 1005.1 cm. Determine the coefficient of linear expansion of the metal. Metro Recycling recycles an average of 9400 lb of material per day. Based on the graph, find the following for an average day: A. How many pounds of paper are recycled? B. How many more pounds of glass than plastic are recycled? c. What percent of the recycled material is in the "other" category? Other Plastic Paper 41% Metal 26% the three causes of urbanization were immigration, industrialization, and migration. what does migration refer to? Compute the future worth in year 10 at an interest rate of 12% per year for the following cash flow diagram (diagram starts in year 0):no cost/salary in year 0 and 1, $1200 cost in year 2, $1400 cost in year 3, $1600 cost in year 4 (positive gradient series in years 2-4), no cost/salary in year 5, $1300 cost in year 6, $800 cost in year 7, $300 cost in year 8 (negative gradient series in years 6-8), $200 salary in year 9 and a $700 salary in year 10. Mariela viene a vernos maana, the expression viene a vernos can be translated as:A-is going to see usB-is coming to see usC-is coming to see youD-is going to see youThis goes for people that know Spanish only ! which composition was written for a multimedia performance at the 1958 worlds fair in brussels, belgium? how is responsivity principle essential in interventions designed to reduce recidivism in offender populations? When billing health care services, which type of code describes the type of service that was provided?1. CPT.2. ICD.3. RVU.4. HITECH. Focus Question 2.5Why do stars appear to mov in the night sky Identify each of the following as rational orirrational.23104.426449.39610.97846727460 PLEASE HELP! PHOTO ATTACHEDThe height of a cabinet is twice the width. The depth is 1.5 times the width. The volume of the cabinet is 5.184 in^3. What are the dimensions of the cabinet? 100,000 less than five hundred sixty thousand,three hundred thirteen is __________. the release of co2 into the soil results in the formation of:______ Which of the following epithelial tissue structures is best optimized for transport?a. Simple columnar epitheliumb. Simple squamous epitheliumc. Stratified muscular epitheliumd. Simple cuboidal epitheliume. Stratified squamous epithelium An element with mass 330 grams decays by 25.5% per minute. How much of theelement is remaining after 5 minutes, to the nearest 10th of a gram?