Which of the following are true statements about the expression 5 + (-5)?​

To make the expression If a = b + c and c ___ 0, then a > b  right, c will be c > 0.

What exactly are expressions?

In mathematics, an expression is a combination of numbers, symbols, and operators (such as +, -, *, /, and ^) that represents a quantity or a relationship between quantities. It can be  number, variable, or combination of both.

Expressions are used to represent mathematical operations, formulas, and relationships. They can be simple or complex, and they can be evaluated or simplified using mathematical rules and operations.

Now,

The correct relationship symbol that makes the statement true is ">" (greater than).

If a = b + c and c > 0, then a will always be greater than b. This is because adding a positive value (c) to b will increase the result (a) above the value of b.

To know more about expressions visit the link

brainly.com/question/13947055

#SPJ1

Answer:

5 is the correct answer

Step-by-step explanation:

20 divide by 100 because it is in percent and 20 miltiply by 100 and there is the sign of multiply (of) is also known as multiply soo 20\100 * 25 will be the answer 5

The polynomial with complex coefficients of the smallest possible degree is found as: P(x) = x⁴ + 17x² + 16.

The given zeroes for the polynomial is-

4i and 1i.

From the conjugate zeroes theorem, for the polynomial having eal coefficients.

Then, -4i and -i is also the zeroes of the polynomial.

Thus, forming the polynomial P(x).

P(x) = (x + i)(x - i).(x + 4i)(x - 4i)

Using the property.

P(x) = (x² - i²).(x² - (4i)²)

We know that, i² = -1

P(x) = (x² + 1).(x² + 16)

Simplifying the equation;

P(x) = x⁴ + 17x² + 16

In which the coefficient of the highest power (x⁴) is 1.

Thus, the polynomial with complex coefficients of the smallest possible degree is found as: P(x) = x⁴ + 17x² + 16.

To know more about the complex coefficients, here

https://brainly.com/question/5564133

#SPJ4

11 x 7 + 11 x 4 is the expression of the total area as the sum of the areas of

each room.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

11 (7 + 4)

Using the property of multiplication over addition.

11 x 7 + 11 x 4

Thus,

11 x 7 + 11 x 4.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ9

Answer:

She has 12 oranges left

Step-by-step explanation:

convert 3/5 to a decimal

3÷5=0.6

then multiply that by 20

0.6*20=12

7 raised to the power of 4 equals 2,401, and the exponent we were looking for is 4.

What is meant by power?

Power is a function that represents the number of times a base number is multiplied by itself. It is the rate at which work is done or energy is transferred, measured in watts.

What is meant by exponent?

An exponent is a mathematical notation used to indicate the number of times a quantity is multiplied by itself. It is written as a superscript and represents the power to which a number or expression is raised.

According to the given information

To find the value of the exponent that satisfies the equation 7ˣ = 2,401, we can take the logarithm of both sides of the equation with respect to base 7. This gives us:

log7(7ˣ) = log7(2,401)

x = log7(2,401)

Using a calculator, we can find that log7(2,401) is approximately 3. Therefore, the value of x that satisfies the equation 7ˣ = 2,401 is 3.

Alternatively, we could also use the fact that 2,401 is equal to 7⁴ - 2, which can be written as:

7⁴ - 2 = (7²)² - 2

= 49² - 2

= 2,401

To know more about exponent visit

brainly.com/question/15993626

#SPJ1

Answer:

with the years labeled on the horizontal axis and the number of hours labeled on the vertical axis. The graph shows that the number of hours spent watching TV declined steadily over the 5-year period, starting at around 1750 hours in Year 1 and falling to around 1300 hours in Year 5. The graph also shows a clear, downward-sloping trend from Year 1 to Year 5.

Step-by-step explanation:

Answer:

420 unique combinations.

Step-by-step explanation:

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

One object from each set:

2 from one set, 5, 6 and 7 by others. Sets are independent, so, by the fundamental counting principle:

2*5*6*7 = 10*42 = 420

420 unique combinations.

The line of best fit has a positive linear relationship for these 25 movies as the theatre income rises.

Scatter plots are graphs that show how independent quantities in a data collection relate to one another. On a double plane or in a Numerical system, it represents sets of data.

a) As you can see, the line of best fit has a positive linear relationship for these 25 movies as the theatre income rises.

b) Because the linear regression model has a positive slope, there is a positive association between theatre income and rental revenue for these 21 films.

c) A film that grossed $40 million in theatres would bring in roughly 8.5 million dollars in rental earnings. Finding the mainly relevant line segment that x coordinate is 40 yields this result.

More about the scatter plot link is given below.

https://brainly.com/question/13984412

#SPJ1

The probability that that arrow will land on the part labelled C after the first spin would be = 1/5.

To calculate the probability of the chosen event, the formula for probability should be used which is given as follows:

Probability = possible outcome/ sample space

Where possible outcome = 2

sample space = A,B,B,B,C,C,D,D,D,E = 10

Therefore the probability that the arrow will land on the part labelled C after the first spin = 2/10 = 1/5.

Learn more about probability here:

https://brainly.com/question/30657432

#SPJ1

Answer:

7/12

Step-by-step explanation:

\(\frac{2}{3}\) + (-\(\frac{5}{6}\)) + \(\frac{3}{4}\) = \(\frac{8}{12}\) + (-\(\frac{10}{12}\)) + \(\frac{9}{12}\) = -\(\frac{2}{12}\) + \(\frac{9}{12}\) = \(\frac{7}{12}\)

Answer:

Step-by-step explanation:

A) if she starts with $61 in her saving account, write an inequality to show how much she wants to have.

- Starts with $61

- Wants AT LEAST $1500

$61 <  $1500

B) how much does Kindra need to save?

If she already has $61 and she needs to get at least $1500, subtract to find out how much more she needs.

$1500 - $61 = $1,439 (she needs to save at least $1,439 more)

$1500 > $1,439

The measures οf the three angIes are x = 51.43 degrees, y = 92.85 degrees, and z = 118.85 degrees.

A Iinear equatiοn is a mathematicaI equatiοn that describes a straight Iine in a twο-dimensiοnaI pIane.

We can use the infοrmatiοn given in the prοbIem tο fοrm a system οf three equatiοns with three variabIes. Let x, y, and z represent the measures οf the first, secοnd, and third angIes, respectiveIy.

Frοm the first piece οf infοrmatiοn, we knοw that: x + y + z = 180

Frοm the secοnd piece οf infοrmatiοn, we knοw that: y + z = 5x

Frοm the third piece οf infοrmatiοn, we knοw that: z = y + 26

We can substitute the third equatiοn intο the secοnd equatiοn tο eIiminate z:

y + (y + 26) = 5x

2y + 26 = 5x

2y = 5x - 26

y = (5x - 26)/2

We can substitute this expressiοn fοr y intο the first equatiοn tο eIiminate y and z:

x + (5x - 26)/2 + (5x - 26)/2 + 26 = 180

2x + 5x - 26 + 26 = 360

7x = 360

x = 51.43

We can substitute this vaIue οf x back intο the expressiοn fοr y tο find y:

y = (5x - 26)/2

y = (5(51.43) - 26)/2

y = 92.85

FinaIIy, we can use the equatiοn z = y + 26 tο find z:

z = y + 26

z = 92.85 + 26

z = 118.85

Therefοre, the measures οf the three angIes are x = 51.43 degrees, y = 92.85 degrees, and z = 118.85 degrees.

To learn more about linear equation from the given link:

https://brainly.com/question/11897796

#SPJ9

Answer:

I'll give you a basic idea on how to do them

Pythagoras theorem

If you know two other sides of the right triangle, it's the easiest option; all you need to do is apply the Pythagorean theorem:

a² + b² = c²

If a is the missing side, then transform the equation to the form where a is on one side and take a square root:

a = √(c² - b²)

If b is unknown, then:

b = √(c² - a²)

If c is unknown, then:

c = √(a² + b²)

5.

a=5, b=7 and c=?

c=√(5^2 + 7^2)

c= √(25 + 49)

c= √74

Hope it helps:)

The resultant force acting on the block is 47.6N.

The acceleration of the block will be 23.8 m/s².

The speed of the block after 5 seconds of movement is 119 m/s.

In this question, we need to make use of Newton's second law, hence:

resultant force = mass × acceleration

So, for question a. The value of the resultant force  will be obtained by adding the two forces together:

resultant force = F₁ + F₂

                       = 25N + 22.6N

                        = 47.6N

b.  Its acceleration will be:

acceleration = resultant force / mass

                  = 47.6N / 2kg

                  = 23.8 m/s²

c. The speed of the block after 5 seconds of movement will be:

Velocity  (v) = u + at

velocity = initial velocity + acceleration x time

Based on the block was initially at rest, the initial velocity is 0.

Hence:

V = acceleration x time

    = 23.8 m/s² x 5s

     = 119 m/s

Hence the speed of the block after 5 seconds of movement will be: 119 m/s.

Learn more about resultant force  from

https://brainly.com/question/25239010

#SPJ1

See full text below

The block in the figure is at rest when the forces begin to act.

F₁ = 25N

F, = 22.6 N

m = 2kg

to. Find the value of the resultant force.

b. Determine its acceleration.

C. Calculate the speed of the block after 5 seconds of movement.

Answer:

-3

Step-by-step explanation:

That's the number the line goes through

The sοlutiοns tο the quadratic equatiοn \(x^2 - 11x - 60 = 0\) are x = 15 and x = -4.

Each quadratic prοblem can be sοlved using the quadratic fοrmula. The equatiοn is first changed tο have the fοrm \(ax^2+bx+c=0\), where a, b, and c are cοefficients.

Tο sοlve fοr x in the quadratic equatiοn x² - 11x - 60 = 0, we can use the quadratic fοrmula:

\(x = (-b \± \sqrt{(b^2 - 4ac))} / 2a\)

where a, b, and c are the coefficients of the quadratic equation ax² + bx + c = 0.

In this case, a = 1, b = -11, and c = -60. Substituting these values into the quadratic formula, we get:

\(x = (-(-11) \± \sqrt{((-11)^2 - 4(1)(-60)))} / 2(1)\)

Simplifying the expression under the square root, we get:

\(x = (11 \± \sqrt{(121 \+ 240))} / 2\\x = (11 \± \sqrt{(361)) / 2}\\x = (11 \± 19) / 2\)

So we have two solutions:

x = (11 + 19) / 2 = 15

x = (11 - 19) / 2 = -4

Therefore, the solutions to the quadratic equation x² - 11x - 60 = 0 are x = 15 and x = -4.

To know more about quadratic equation visit,

https://brainly.com/question/1214333

#SPJ1

Answer:

(3f)-7

Step-by-step explanation:

Answer:

Plant cells have a plasma membrane, chloroplasts, plasmodesmata, and plastids used for storage, and an oversized central bodily cavity, whereas animal cells don't.

Answer:

$5.86

Step-by-step explanation:

The total was $36.31

We were given the price of 1, which was $1.15

$36.31-$1.15 = $35.16 remaining

Since the other 6 friends ordered the same meal, they would have paid the same price, so we would divide by 6

$35.16/6 = $5.86

Answer:

Step-by-step explanation:

One of the solutions is to graph it and get coordinates of its intersection with the x- axis.

See the graph attached below.

As you see the entire graph is above the x-axis. It means there are no real roots.

Use graphical method

y=4x⁶-4x⁴+3x³-2x+6

Graph attached

As there is no x intercepts,no real zeros

The mean and standard deviation (in ) of the sampling distribution of the difference in sample means \(\sigma_1\) -  \(\sigma_2\) = (7)² ÷100+ 6² /150.

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

Given:

Level A:

S.D. = 7

Level B: Mean = 20

S.D. = 6

So, \(\nu_1\) = 22

\(\nu_2\) = 20

Then,  \(\nu_1\) - \(\nu_2\)   = 22-20=2

and, \(\sigma_1\) -  \(\sigma_2\)

= (7)² ÷100+ 6² /150

Learn more about standard deviation here:

https://brainly.com/question/23907081

#SPJ1

Answer:

Angle y = 60°

Angle x = 65°

Answer: $61.76

Step-by-step explanation:

Multiply the price of coffee ($9.65) times the weight (6.4)

=$61.76

Answer:

50.18

Step-by-step explanation:

.

(9) The slope of a line perpendicular to the line, f(x) = 0.75x + 6 is - 4/3.

(10) The slope of a line parallel to this line, y = 10 -8x is -8.

The slope of a line perpendicular to the line is the negative reciprocal of the slope of the line equation.

Question 9.

f(x) = 0.75x + 6

where;

The slope of a line perpendicular to this line = -1/0.75 = -100/75 = -4/3

Question 10.

For the equation of another line, y = 10 - 8x

The slope of a line parallel to this line is equal to the slope of this line and it is calculated as follows;

y = 10 - 8x

where;

slope of a line parallel to the line = -8

Learn more about slope of lines here: https://brainly.com/question/3493733

#SPJ1

Answer:

\(m=\frac{7}{5}\)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Point (-23, 8)

Point (12, -17)

Step 2: Find slope m

Step 3: Find perpendicular slope m

And we have our final answer!

As this is when it hits the ground, the projectile is in the air for 6 seconds.

Physically speaking, the missile would have been at ground level two seconds prior to launch if x were negative. Thus, we disregard the unfavorable option.

Objects that are thrown, shot, or launched with a certain initial velocity and then move against the forces of gravity and air resistance are known as projectiles. Projectiles can be anything from arrows and bullets to rocks and water balloons. Typically, a bow, slingshot, gun, or cannon is used to fire them. When projectiles are launched, gravity, air resistance, and other forces influence their trajectories.

from the question:

We must discover the moment the missile strikes the ground in order to calculate how long it was in the air. The height of the missile above the earth would be zero at that point.

Thus we must resolve the following equation:

y = -3x² - 12x + 96 = 0

We can use the quadratic formula to solve this equation in the quadratic form:

x = (-b ± √(b² - 4ac)) / 2a

where a = -3, b = -12, and c = 96.

Plugging in these values, we get:

x = (-(-12) ± √((-12)² - 4(-3)(96))) / 2(-3)

x = (12 ± √(144 + 1152)) / (-6)

x = (12 ± √1296) / (-6)

x = (12 ± 36) / (-6)

So, the solutions are:

x = -2 or x = 6

Physically speaking, the missile would have been at ground level two seconds prior to launch if x were negative. Thus, we disregard the unfavorable option.

As a result, the missile is in the air for 6 seconds before it strikes the earth.

To learn more about the projectile visit:

brainly.com/question/30572910

#SPJ1

Answer:

The last one at right bottom

Answer:

Is bottom left

Step-by-step explanation:

Answer:

The answer is 132 square units

Step-by-step explanation:

Cutting the shape

we have two trapeziums

A=(area of small +Area of big)Trapezium

A=1/2(3+9)8 + 1/2(9+12)8

A=1/2×12×8 + 1/2×21×8

A=12×4 + 4×21

A=48+84

A=132 square units