SOLVE EACH EQUATION. CHECK YOUR ANSWER.


3 1/5 + b = 4/5



x + 7/4 = 2/3​

There are 2^3 = 8 rows in a truth table for a compound proposition with propositional variables p, q, and r. There are 2^4 = 16 rows in a truth table for the proposition (p∧q)∨(¬r∧ ¬q)∨¬(p∧t). A truth table is a table that shows all the possible combinations of truth values for a compound proposition.

The number of rows in a truth table is 2^n, where n is the number of propositional variables in the compound proposition. In the case of a compound proposition with propositional variables p, q, and r, there are 3 propositional variables, so the number of rows in the truth table is 2^3 = 8.

The proposition (p∧q)∨(¬r∧ ¬q)∨¬(p∧t) has 4 propositional variables, so the number of rows in the truth table is 2^4 = 16.

To learn more about truth table click here : brainly.com/question/30588184

#SPJ11

Answer:

y = - 3x + 14

Step-by-step explanation:

3x + y = 14

y = - 3x + 14

The equation of the line that is parallel to y=-5x+6 and passes through the point (-4,-1) is y = -5x-21.

Given data :

Here, given equation of line is y = -5x+6

Required line is parallel to this given line, so we can say that the slope is same for the lines.

General equation of a line be y = mx+c ,  where m is the slope

Comparing given equation with this equation we get,

m = -5

The required line also passes through the point (-4, -1)

Now, we know that,

m = (y2-y1)/(x2-x1).

⇒ -5 = (-1 - Y ) / ( -4 - x )

⇒ -5 = y + 1 / x + 1

⇒ y+1 = -5x-20

⇒ y = -5x-21

Hence the equation proved.

Learn more about Slope refer to :

https://brainly.com/question/16949303

#SPJ4

Answer:

6 hours * 3 kilometers = 18 hours

Answer:

Train A is 287 tons

Train B is 94 tons

Step-by-step explanation:

My method of solving it may have been a bit different from how you were taught. I divided 381 by 2 to give both trains an equal weight of 190.5 tons. I then divided the difference, 193, by 2 to get 96.5 tons. I subtracted the new difference from the weight of Train B and added it to train A. To double check, you can grab a calculator and see that their weights are equal to 381.

Answer: 7

Step-by-step explanation: If they equal each other, then that must mean that the exponents equal. Therefore, we can draw out the conclusion that x+2=9, which is x=7

To determine if a point is on the market supply curve, we need to check if it satisfies both supply functions.

Supply 1: P = 6 + 0.7Q

Supply 2: P = 16 + 0.6Q

Let's evaluate each option:

a. P = 32.00, Q = 61.14

Using supply 1: P = 6 + 0.7(61.14) = 48.80

Using supply 2: P = 16 + 0.6(61.14) = 52.68

Neither supply function matches the given point, so it is not on the market supply curve.

b. P = 11.00, Q = 7.14

Using supply 1: P = 6 + 0.7(7.14) = 10.00

Using supply 2: P = 16 + 0.6(7.14) = 20.28

Neither supply function matches the given point, so it is not on the market supply curve.

c. P = 16, Q = 14.29

Using supply 1: P = 6 + 0.7(14.29) = 15.00

Using supply 2: P = 16 + 0.6(14.29) = 24.57

Both supply functions match the given point, so it is likely on the market supply curve.

d. P = 24.00, Q = 39.05

Using supply 1: P = 6 + 0.7(39.05) = 33.34

Using supply 2: P = 16 + 0.6(39.05) = 39.43

Both supply functions match the given point, so it is likely on the market supply curve.

Based on the analysis, the most likely point that is not on the market supply curve is option a. P = 32.00, Q = 61.14.

Answer:

Exactly 28million

Step-by-step explanation:

Answer:

26 1/2

or

26.5

Step-by-step explanation:

The slope of the line that contains the given points R(-2,1) and, S(10,6) is 5/12 .

It is given in the question that the line contains the points R(-2,1) and S(10,6).

We know that:-

The formula to find the slope of a line that contains points (a,b) and (c,d) is given by:-

m = (d-b)/(c-a)

Here, we have

m = slope of the line

(a,b) = (-2,1)

(c,d) = (10,6)

Hence, putting the values of (a,b) and (c,d) , we get

Slope of the line that contains the given points R(-2,1) and, S(10,6) is given by:-

(6-1)/(10-(-2)) = 5/12=

To learn more about slope of the line, here:-

brainly.com/question/14511992

#SPJ4

Answer:

  7)  (f+g)(x) = 4^x +5x -5

  8)  (f-g)(x) = 4^x +x +5

Step-by-step explanation:

7) add the two expressions.

  (f+g)(x) = f(x) +g(x) = (4^x +3x) +(2x -5)

  (f+g)(x) = 4^x +5x -5

__

8) subtract g(x) from f(x).

  (f-g)(x) = f(x) -g(x) = (4^x +3x) -(2x -5) = 4^x +3x -2x +5

  (f-g)(x) = 4^x +x +5

Answer:

15%

Step-by-step explanation:

Answer:

15%

Step-by-step explanation:

Since it is increasing from 13 to 15, the difference is 2

so you now

have to divide 2 by 13

because 13 is the original friend amount.

2 divided by 13 is equal to 0.153846153846153846153846153846

since the units are percent

it should techincally turn into

15.3846153846153846153846153846

but since you are rounding to the nearest percent

it would be 15%

Answer:

85 for each person including kevin

Answer:

840

Step-by-step explanation:

7000×2×6 ÷ 100. since it is 2%

= 840

Answer:

1: the wooden part is 3.725 kilograms.

2: 10 Children

Answer:

1 3.725 kg of wood

2 10

Step-by-step explanation:

For question 1 you multiply the total weight by 3/4 to find the weight of the metal, you then subtract this from the total to find the weight of the wood

For question 2 you look at it as a fraction 1/3 kids + 2/3 adults equal 30, since there are twice as many adults. Then you multiply 30 by 1/3 and get 10

Answer:

y = 2x - 3

Step-by-step explanation:

We want to write the equation as y = ax + b, where a is the slope and b is the y-intercept.

Mr. Jaw will spend $x on the sand, where x is the total number of bags of sand needed multiplied by the cost per bag.

To calculate the amount Mr. Jaw will spend on sand, we need to determine the total number of bags of sand required for the circular sandpit.

First, we need to know the area of the sandpit. The area of a circle is calculated using the formula A = πr², where A represents the area and r is the radius. However, since the radius is not provided, we cannot determine the exact area.

Let's assume that Mr. Jaw knows the radius of the sandpit and it is denoted as 'r'. Based on the information given, Mr. Jaw needs 1 bag of sand for every 5 square feet of the sandpit. Therefore, the number of bags of sand required can be calculated as (A/5), where A is the area of the sandpit.

Assuming we have the value of A, we can calculate the total cost by multiplying the number of bags of sand needed by the cost per bag:

Total cost = (A/5) * $8

Without the specific value of the radius or area, we cannot calculate the exact cost Mr. Jaw will spend on sand.

Learn more about area here:

https://brainly.com/question/28642423

#SPJ11

Yes, the polynomial p(z)=anz^n an-1z^n-1 .. a0 is written in factored form as p(z)=an(z-z1)^d1 (z-z2)^d2 …(z-zr)^dr.

To show that if the polynomial p(z) is written in factored form as\(p(z) = an(z-z1)^d1 (z-z2)^d2 ...(z-zr)^dr\), then the coefficients satisfy the following relations:

The degree of the polynomial p(z) is n, which means that the sum of the exponents of the factors in the factored form is equal to n:

\(d1 + d2 + ... + dr = n\)

The coefficient of the highest degree term in p(z) is an, which means that:

\(an = ad1d2*...*dr\)

To prove these relations, we start by expanding the factored form of p(z) using the distributive property:

\(p(z) = an(z-z1)^d1 (z-z2)^d2 ...(z-zr)^dr\)

\(= an*(z^d1 - z1^d1)(z^d2 - z2^d2)...*(z^dr - zr^dr)\)

The degree of p(z) is the highest power of z in this expression, obtained by adding up the highest exponents of z in each term.

Since each factor \((z - zi)\)has a maximum exponent of di, the highest power of z in\(p(z) is d1 + d2 + ... + dr.\)

\(n = d1 + d2 + ... + dr\)

The coefficient of the highest degree term in the expanded form of p(z) is obtained by multiplying the highest degree terms in each factor.

we compare it with the coefficient of the highest degree term in the original polynomial p(z).

\(an*(z1^d1)(z2^d2)...*(zr^dr)\)

On the other hand, the coefficient of the highest degree term in p(z) is the coefficient of \(z^n,\) which is an. Therefore, we have:

\(an = an*(z1^d1)(z2^d2)...*(zr^dr)\)

Dividing both sides by the product of the z-terms, we get:

\(1 = (z1^d1)(z2^d2)...*(zr^dr)\)

Multiplying both sides by an, we get:

\(an = ad1d2*...*dr\)

This proves that the coefficients of the polynomial p(z) satisfy the relations stated above.

Learn more about polynomial

brainly.com/question/11536910

#SPJ11

Answer:

65 percent

Step-by-step explanation:

50 and is for sale at 32.50 dollars

ok to now this

32.5/50=0.65 multiply by 100

65 percent

Radius of cone is decreasing at the rate of \(\frac{1623}{110\pi}\) inches

What is rate of change?

Suppose there is a function and there are two quantities. If one quantity of a function changes, the rate at which other quantity of the function changes is called rate of change of a function.

Here rate of change of radius of cone has been calculated

Radius of cone  = 18 inches

Height of cone = 11 inches

Volume of cone (V) = \(\frac{1}{3} \pi r^2h\)

\(\frac{dV}{dt} = \frac{1}{3} \pi h (2r\frac{dr}{dt})\\-541 = \frac{2}{3} \pi \times 11\times 5\times\frac{dr}{dt}\\\frac{dr}{dt} = -\frac{541 \times 3}{2 \times \pi \times 11 \times 5}\\\frac{dr}{dt} = -\frac{1623}{110 \pi}\)

Radius of cone is decreasing at the rate of \(\frac{1623}{110\pi}\) inches

To learn more about rate of change, refer to the link-

brainly.com/question/24313700

#SPJ4

Answer:

Volume = 1,017.4m^3 .

Step-by-step explanation:

\(V = \frac{1}{3} pir^{2}h \\h (height) = 12m\\r (radius ) = 9m\\PI = 3.14\\V =\frac{1}{3} * 3.14 *9^{2} *12\\\\V = 1,017.36\\V = 1,017.4m^{3} .\)

She needs to locate the squares of the integers between 7.1 and 7.2 in order to estimate √51.

Finding an integer's square root is the inverse of squaring an integer. A number's square value is obtained by multiplying it by itself, whereas the square root of a number can be discovered by looking for a number that, when squared, produces the original value. It follows that a× a = b if "a" is the square root of "b." Every number has two square roots, one of a positive value and one of a negative value because the square of any number is always a positive number.

In the question given to us,

look at the table, we know

(7.1)² = 50.41 and (7.2)² = 51.84

So, (7.1) < √51 < 7.2 { estimate }

They should therefore determine the squares of the numbers between 7.1 and 7.2.

To know more about Square roots, visit:

brainly.com/question/1387049

#SPJ1

The complete question is :

Meredith is trying to estimate √51 She uses this table of values:

What should she do next to find √51 to the nearest hundredth?

A. She should find the average of 7. 1 and 7. 2.

B. She should find the squares of numbers between 7. 2 and 7. 3.

C. She should find the squares of numbers between 7. 1 and 7. 2.

D. She should estimate that √51 is 7. 20.

The correct statements regarding the data-set are given as follows:

The consistency of the data-set is obtained by the IQR of each data-set, subtracting Q3 by Q1, hence:

Due to the lower IQR, the clerks from store A were more consistent.

For mean/median, the lower the mean and median, the faster they were.

More can be learned about mean and median at https://brainly.com/question/14532771

#SPJ1

Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.

Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.

Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.

Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.

Three specific brand name products in the consumer marketplace that correspond to these types of purchases are

Convenience Purchase: Coca-Cola (Soft Drink)

Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.

With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.

Shopping Purchase: Apple iPhone (Smartphone)

The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.

The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.

Specialty Purchase: Rolex (Luxury Watches)

Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.

Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.

These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.

To know more about Convenience purchases:

https://brainly.com/question/30247858

#SPJ4

Answer:

D: 0 < y < 7

Step-by-step explanation:

The domain is the input (i.e. the x values)

The range is the output (i.e. the y values)

So for the range, look at the y-coordinates of the end points of the line: (-6, 0) and (9, 7)  ⇒  0 < y < 7

Answer:

8, 0

Step-by-step explanation:

Answer:

w=k/3-a/3+t/3

Step-by-step explanation:

try isolating w (bring every term not w to the other side and then divide by 3)

Answer:

(a + 4)(b + 1)

Step-by-step explanation:

ab + 4 + a + 4b

Rearrange the expression to find the GCF.

ab + a + 4b + 4

Now find the GCF.

a (b + 1) + 4 (b + 1)

Divide the whole thing by b+1

(a + 4)(b + 1)