Help me pls!!!
2.a) One fraction is between 1 and 2 less than another fraction or decimal. List three possible pairs of fractions or fractions and decimals. Circle the value in each pair that is less.

b) Represent each pair together on a single number line.

In the main() function, we prompt the user to enter the values of , , and . Then, we call the user-defined function to calculate and display the maximum root.

The quadratic equation is given by: a² + b + c = 0. To find the maximum root of the quadratic equation, a user-defined function is required. The function takes parameters , , and and returns the maximum root. This function can be used in the main() function to obtain the values of , , and from the user and display the maximum root.

To find the maximum root of a quadratic equation, we need to determine the vertex of the parabola represented by the equation. The x-coordinate of the vertex is given by = -/2. By substituting this value into the quadratic equation, we can calculate the maximum root.

The user-defined function will compute the maximum root as follows: Calculate the discriminant, Δ = ² - 4. If Δ < 0, the equation has no real roots, so return an appropriate error message. Calculate the x-coordinate of the vertex, = -/2.

To know more about main() function refer here:

https://brainly.com/question/15054703#

#SPJ11

Answer: 24

Step-by-step explanation:

Answer:

12.89

Step-by-step explanation:

use a calculator

Answer:

There are 15 integers between 2020 and 2400 which have four distinct digits arranged in increasing order.

Step-by-step explanation:

This can be obtained by after a simple counting of number from 2020 and 2400 as follows:

The first set of integers are:

2345, 2346, 2347, 2348, and 2349.

Therefore, there are 6 integers in first set.

The second set of integers are:

2356, 2357, 2358, and 2359.

Therefore, there are 4 integers in second set.

The third set of integers are:

2367, 2368, and 2369.

Therefore, there are 3 integers in third set.

The fourth set of integers are:

2378, and 2379.

Therefore, there are 2 integers in fourth set.

The fifth and the last set of integer is:

2389

Therefore, there is only 1 integers in fifth set.

Adding all the integers from each of the set above, we have:

Total number of integers = 6 + 4 + 3 + 2 + 1 = 15

Therefore, there are 15 integers between 2020 and 2400 which have four distinct digits arranged in increasing order.

Answer:

139 quarts

Step-by-step explanation:

Answer:

The mechanic would use 139 quarts for the 17 cars.

Answer:

y=-3x, or y=-3x+0

Step-by-step explanation:

Answer:

1676

Step-by-step explanation:

14,000-5,358-2,834-$4,132 = 1676

Answer:

See explanation

Step-by-step explanation:

So what you would need to do is take 300/10

300/10 which is 1/10 of 300, would be 30

You can also check your work by doing 30 x 10

This equals 300, so its correct.

Answer:1144.2 for question 5

Step-by-step explanation:

Answer:

It would take 3 men working at the same rate 8 days to finish the job that 4 men can finish in 6 days.

Step-by-step explanation:

To solve this problem, we can use the formula:

(time 1) x (number of people 1) = (time 2) x (number of people 2)

Let's plug in the given values:

(6 days) x (4 men) = (time 2) x (3 men)

Simplifying this equation, we can solve for the unknown variable (time 2):

time 2 = (6 days x 4 men) / (3 men)

time 2 = 8 days

Therefore, it would take 3 men working at the same rate 8 days to finish the same job that 4 men can finish in 6 days

Step-by-step explanation:

(x + 2)( x – 2)

A. x2 − 8

B. 3x2 − 14x − y

C. x2 − 4

D. x2 − 2

2. Factor Completely: x2 − 36

A. (x + 6)(x – 6)

B. (x + 6)(x + 6)

C. (x – 6)(x − 6)

D. Prime

3. Factor Completely: 4x2 − 81

A. (4x – 9)(x + 9)

B. (2x + 9)(2x + 9)

C. (2x + 9)(2x – 9)

D. (2x – 9)(2x − 9)

4. Factor Completely: x2 + 16

A. (x + 4)(x + 4)

B. (x + 4)(x – 4)

C. Prime

D. (x – 4)(x − 4)

5. Factor Completely: 2x2 − 18

A. Prime

B. 2(x2 − 9)

C. 2(x + 3)(x – 3)

D. 2(x + 3)(x + 3)

6. Factor Completely: 3x2 − 21

The standard matrix for the linear transformation can be obtained by applying the transformation to the standard basis vectors. Additionally, an explicit formula for the transformation can be derived by observing the pattern in how the transformation operates on the basis vectors.

To determine the determinant of the linear transformation, we need to compute the determinant of its standard matrix. The standard matrix is obtained by applying the transformation to the standard basis vectors [1, 0] and [0, 1], and arranging the resulting vectors as columns. Let's denote the resulting vectors as [a, b] and [c, d]. The standard matrix for the transformation is then [[a, c], [b, d]]. The determinant of this matrix, denoted as det(A), provides the determinant of the linear transformation.

To find the explicit formula for the linear transformation, we examine how it operates on the basis vectors [1, 0] and [0, 1]. By applying the transformation, we obtain [a, b] and [c, d] respectively. From this pattern, we can deduce the formula for the transformation as T(x, y) = [ax + by, cx + dy], where a, b, c, and d are the entries of the standard matrix.

In summary, the determinant of the linear transformation is given by det(A), where A is the standard matrix. The standard matrix is obtained by applying the transformation to the standard basis vectors, and the explicit formula for the transformation is T(x, y) = [ax + by, cx + dy].

know more about standard matrix :brainly.com/question/31040879

#SPJ11

It should be noted that the value of angle x if m∠3=4x+10 and m∠4=5x is 10.

It should be noted that from the information, m∠3=4x+10 and m∠4=5x are equal angles.

Therefore, it should be noted that we will equate them

4x + 10 = 5x

Collect like terms

5x - 4x = 10

x = 10

Therefore, the value of x is 10.

In conclusion, it should be noted that the value of angle x if m∠3=4x+10 and m∠4=5x is 10.

Learn more about angles on:

brainly.com/question/25716982

#SPJ1

If m∠3=4x+10 and m∠4=5x are equal. Find x.

Answer:Utilities and Groceries

Step-by-step explanation:Variable expenses are defined as such because the amount you spend may vary each month. Although variable costs are quite often discretionary expenses, some may be necessities. Buying gas for your car each month is a variable expense, as are car repairs and maintenance. Grocery shopping is also a variable expense.

Answer:

d

Step-by-step explanation:

Answer:

x = -1

Step-by-step explanation:

The vertex is halfway between the focus and the directrix.

So here the directrix is  a vertical line  to the left of the vertex and passing through the point (2-3, 9) = (-1, 9)

It is x = -1.

The exact length of line segment PQ is 22.4.

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

\(D = √[(x-p)² + (y-q)²] D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.\)

Given;

p(x,y)=(17,4)

m(x,y)=(-2,16)

Now,

\(D = √[(x-p)² + (y-q)²] D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.\)

D^2= (-2-17)^2+(16-4)^2

D^2=361+144

D^2= 505

D=22.4

Therefore, the distance will be 22.4

Learn more about distance between two points here:

brainly.com/question/16410393

#SPJ1

Answer:

D

Step-by-step explanation:

It's D because 60 +70 +(180-130)=180

= 60+70+50=180

Answer:

Let C be the position of the meteorological station, B the position of the balloon and CB be the cable.

Let the height of the balloon from the ground be AB=hmetres.

In a right angled triangle ACB

BC

AB

=sin60

∘

⇒

200

h

=

2

3

since

sin60

∘

=

2

3

⇒h=200×

2

3

⇒h=100

3

∴h=100×1.732=173.2 since

3

=1.732

Hence, the height of the balloon above the ground is 173.2m

By inscribing the given information in a right triangle, we will see that the ballon is 167.7 meters above the ground.

Think in the situation as in a right triangle, you have a hypotenuse that is equal to the length of the cable, you know one angle of 57°, and the opposite cathetus to this angle represents the height at which the ballon is, this is what we want to find.

Using the relation:

sin(θ) = (opposite cathetus)/hypotenuse.

Where:

Replacing that we get:

sin(57°) = height/200m

sin(57°)*200m = height = 167.7m

So the balloon is 167.7 meters above the ground.

If you want to learn more, you can read:

https://brainly.com/question/15345177

The best description of the distribution of points earned is E) Skewed to the right with a gap.

To determine the best description of the distribution of points earned, we need to look at the shape of the distribution.

The shape of the distribution can be described by the presence or absence of peaks, gaps, and tails, as well as whether the distribution is symmetric or skewed.The term "bimodal" means that the distribution has two peaks, while "skewed to the right" means that the tail of the distribution is longer on the right side.

Based on the answer choices given, the best description of the distribution of points earned is E) Skewed to the right with a gap, since it describes a distribution that has a long tail on the right side and a gap between the two groups of scores.

Learn more about distribution at

https://brainly.com/question/17762304

#SPJ11

Answer:

Mac is 19 years old, Joe is 11 years old

Step-by-step explanation:

2J - 3 = M

J + M = 30

M = 30 - J

2J - 3 = 30 - J

3J = 33

J = 11

M = 30 - 11

M = 19

Answer:

2,800 light bulbs

Step-by-step explanation:

Hope this helps!!

Answer:

2800

Step-by-step explanation:

2%= .02 (decimal form)

56x .02=1.12

56/1.12=50

50 x 56= 2800

To check

2800 x .02= 56

:)

Answer:

.003411

Step-by-step explanation:

Is the OBJ box supposed to mean something?

9 students prefer this candy bar.

To find how many students prefer this candy bar:

Students are 35 and the percentage who prefer mound candies is 25%.

So,

On rounding off the number comes to:

Therefore, 9 students prefer this candy bar.

Know more about percentages here:

https://brainly.com/question/24877689

#SPJ4

In the given proof, we are provided with a series of statements and axioms. We need to use the results from page 36 of the cheat sheet (excluding Theorem 11, which is the goal of the proof) to complete the proof. Let's analyze the steps and apply the appropriate results to complete the proof:

Proof:

1. (-a) -((a+b) (a-(ab)))

2. b-a-b

3. a-a (Axiom 6, Axiom 1, Theorem 1)

We start with the first statement: (-a) -((a+b) (a-(ab))). To simplify this expression, we can use one of the results from page 36 of the cheat sheet. Let's consider Result 5, which states: "(-a)-(b-(a-(ab))) = a-ab." By comparing the given expression with Result 5, we can see that we need to make a few adjustments to match the pattern.

We have (-a) -((a+b) (a-(ab))), and we can rewrite it as (-a) - ((a+b) - (a - (ab))). Now, we can apply Result 5, which gives us (-a) - ((a+b) - (a - (ab))) = a - (ab).

So, our first statement simplifies to a - (ab).

Moving on to the second statement: b-a-b. To prove this statement, we can utilize another result from page 36. Let's consider Result 2, which states: "a - (b - a) = 2a - b." By comparing the given expression with Result 2, we see that we need to rearrange the terms.

We have b - a - b, and we can rewrite it as b - (a - b). Now, we can apply Result 2, which gives us b - (a - b) = 2b - a.

So, our second statement simplifies to 2b - a.

Finally, we have the third statement: a - a. This statement is directly derived from Axiom 6, which states: "a - a = 0."

Combining the simplified forms of the first and second statements, we have a - (ab) = 0 and 2b - a = 0. Now, we can use these two equations along with Axiom 1, which states: "a - (ab) = (a - b)a," to derive the conclusion.

From a - (ab) = 0, we can multiply both sides by a to get a^2 - a(ab) = 0. Rearranging this equation, we have a^2 = a(ab).

Next, we substitute 2b - a = 0 into the equation a^2 = a(ab). This yields a^2 = (2b)(ab), which simplifies to a^2 = 2(ab)^2.

Using Theorem 1, which states: "If a^2 = b^2, then a = b or a = -b," we can conclude that a = √(2(ab)^2) or a = -√(2(ab)^2).

Therefore, by applying the results from page 36 of the cheat sheet and the given axioms, we have derived the conclusion that a = √(2(ab)^2) or a = -√(2(ab)^2) in the given proof.

Learn more about Derive Conclude :

https://brainly.com/question/31432740

#SPJ11

The first three nonzero terms of the Maclaurin series for the function y = x/sin(x) are:
1, (x^2)/6, (x^4)/120

To find the first three nonzero terms of the Maclaurin series for the function y = x/sin(x), we can use the Maclaurin series for sin(x) and then divide x by that series.

The Maclaurin series for sin(x) is:
sin(x) = x - (x^3)/6 + (x^5)/120 - ...

Now, divide x by the sin(x) series:
y = x/(x - (x^3)/6 + (x^5)/120 - ...)

Perform the division:
y = (x)/(x(1 - (x^2)/6 + (x^4)/120 - ...))

y = 1/(1 - (x^2)/6 + (x^4)/120 - ...)

Now, we can use the formula for the sum of an infinite geometric series, where the first term is 1 and the common ratio is (x^2)/6:

y = 1 + (x^2)/6 + (x^4)/120 + ...

The first consecutive three nonzero terms of the Maclaurin series is:

1, (x^2)/6, (x^4)/120

To learn more about series, refer below:

https://brainly.com/question/15415793

#SPJ11

The required value of constant of variation, k does not exist for which x and y vary directly.

What is the constant of proportion?

A constant of proportion is illustrated as the ratio which relates two given quantities with each other in the relationship of proportion.  Constant of proportion is also called constant variation, rate of change, and constant ratio.

Solving for the value of constant of variation  

When a quantity varies directly with others, then we have a relation, y = kx, where k is the constant of the proportion      —-- 1

Given relation is y = 4x + 1

On comparing it with equation 1, we get, that y does not vary directly with x

Hence, the required value of constant of variation does not exist.

To learn more about the constant of proportion, visit the link:

https://brainly.com/question/24868934

#SPJ4

The system of equations that correctly represents the situation of Lina and Sarika's ages are:

A system of equations is two or more equations solved concurrently or at the same time.

A system of equations is called simultaneous equations.

The sum of Lina and Sarika's ages = 31

Lina's age > Sarika's by 5 years

Let Lina's age = L

Let Sarika's age = S

L + S = 31... Equation 1

L - S = 5... Equation 2

2L = 36

L = 18.

Substituting L = 18 into either Equation 1 or 2:

18 + S = 31

S = 31 - 18

S = 13

Learn more about simultaneous equations at https://brainly.com/question/148035.

#SPJ1

Answer: x= 6

Step-by-step explanation:

Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.  

You can see they do not look the same so they add up to equal 180

12x + 3 +105 = 180

12x + 108 = 180

12x = 72

x = 6

Answer: 10P4 = 1098*7 = 5040 possible PIN numbers.

This problem involves selecting 4 digits out of a total of 10 digits (0-9) without repetition. This is a permutation problem because the order in which the digits are selected matters.

Answer: 25C3 = (252423)/(321) = 2300 possible sundaes.

This problem involves selecting 3 toppings out of a total of 25 toppings with no regard to order, since the order in which the toppings are selected does not matter. This is a combination problem.

Answer: 26P4 = 262524*23 = 358,800 possible codes.

This problem involves selecting 4 letters out of a total of 26 letters without repetition. This is a permutation problem because the order in which the letters are selected matters.

Answer: 19C3 = (191817)/(321) = 969 possible ways.

This problem involves selecting 3 runners out of a total of 19 runners with no regard to order, since the order in which the runners are selected does not matter. This is a combination problem.

Answer: 207C10 = (207206205204203202201200199198)/(10987654321) = 2,451,172,945,010 possible squads.

This problem involves selecting 10 members out of a total of 207 members with no regard to order, since the order in which the members are selected does not matter. This is a combination problem.

Answer: 50C5 = (5049484746)/(54321) = 2,118,760 possible committees.

This problem involves selecting 5 teachers out of a total of 50 teachers with no regard to order, since the order in which the teachers are selected does not matter. This is a combination problem.

Answer: 50P3 = 504948 = 117,600 possible combinations.

This problem involves selecting 3 members out of a total of 50 members with regard to order, since the order in which the members are selected matters. This is a permutation problem.

Answer: 12C9 = (121110)/(321) = 220 possible line-ups.

This problem involves selecting 9 players out of a total of 12 players with no regard to order, since the order in which the players are selected does not matter. This is a combination problem.

Answer: 12C9 = (121110)/(321) = 220 possible line-ups.

Learn more about Permutation and Combination problems

brainly.com/question/23603030

#SPJ11