Graph the following system of inequalities

Answer:

The missing side length is 12.

Step-by-step explanation:

Answer:

[tex]75\% \: of \: 96 \\ = \frac{75}{100 } \times \frac{96}{1} \\ = \frac{3}{4} \times \frac{96}{1} \\ = 24 \times 3 \\ = 72[/tex]

Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

The triangles are similar   so

x + 46 + 78 = 180

x = 56°

The evaluation of the expression 2ˣ - x² when x = 5 is 7

From the question, we have the following parameters that can be used in our computation:

Expression: 2^x- x^2

Value x = 5

Rewrite the expression as

Expression: 2ˣ - x²

Substitute the known values in the above equation, so, we have the following representation

2ˣ - x² = 2⁵ - 5²

When the exponents are evaluated. we have

2ˣ - x² = 32 - 25

Evaluate the like terms in the equation

So, we have the following representation

2ˣ - x² = 7

Using the above as a guide, we have the following:

The solution is 7

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The 5 ways to solve problems are identifying the problem, generating different solutions, choosing one solution, implementing the chosen solution and evaluating the result.

A problem is any type of disruption from normality that is impeding progress. A problem can be time-consuming and requires too much energy to solve it.

There are 5 different steps to solving a problem

Step 1. Identify the Problem

Step 2. Generate potential solutions

Step 3. Choose one solution

Step 4. Implement the solution you’ve chosen

Step 5. Evaluate results

Sometimes it is required to start the process entirely over. To make the problem-solving process easier, it’s best to facilitate the solution as much as possible. Try to concentrate on the solution instead of the problem. Finally, be in the correct psyche to want to change. This contains having the right mindset language, both are positive and open-minded. With sufficient practice, any problem can be solved.

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Answer:

2

Step-by-step explanation:

look at where it intersects the line that goes straight up

Answer: 527.79 m²

Step-by-step explanation:

formula is A = 2πrh + 2πr²

A = 2π x 4 x 17 + 2π x 4²

A = 527.79 m²

Step-by-step explanation:

if the question is to round 3.79 to the nearest tenth then here you go: *can't really grab you question, but....*

So, 3.79 to the nearest tenth would be 3.8

Why? How?

To round, you have to convert the farthest right value, which is 5 or higher, to one and add it to it's previous. So, 9 is higher than 5, could be 5, but can change to 1 and be added to it's previous 7 making 7 8, and that's how we get 3.8 (8 being the tenth of the decimal...hope I'm making sense. it's just the rules, how it works, and how I can explain it).

Hope you get it right and good luck :)

Answer:

a=11

Step-by-step explanation:

set the formula up as

22+7a = 9a

22 = 9a - 7a

22 = 2a

22/2 = a

11 = a

The volume of the cone is 50π cubic units .

A cone is a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the apex or vertex. A cone is formed by a set of line segments, half-lines, or lines connecting a common point, the apex, to all of the points on a base that is in a plane that does not contain the apex.

A cone has a circular base.

A cone has no edges, one face, and one vertex.

The length of the line segment from a cone's apex to any point around the circle of the cone's base is known as the slant height of the cone.

A right circular cone is a cone with its apex perpendicular to the base of the cone and directly above it.

An oblique cone is one that doesn't have its apex precisely over the base's circle.

Radius of the cone = 5

Height of the cone is 6

Volume of the cone = [tex]\frac{1}{3}\pi r^{2} h[/tex] = [tex]\frac{1}{3}\pi *5^{2}* 6 = 50\pi[/tex] cubic units.

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Because two triangles are said to be congruent when all three of their corresponding sides and all three of their corresponding angles have the same measure, the right answer is SSS.

Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is the name given to a triangle with vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found.

In the order below, beginning with triangles DAB and BCD, write the names of the vertices.

AB = CD

DA = BC

Since both triangles' BD sides are the same, BD = BD.

The SSS feature of a congruent triangle allows us to conclude that the triangles DAB and BCD are congruent since they share the same three sides.

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Answer:

p(r(-3)) = 114

Step-by-step explanation:

I assume you want help with just #4:

[tex]r(x)=5r+2\\r(-3)=5(-3)+2=-15+2=-13\\\\p(x)=x^2+4x-3\\p(r(-3))=p(-13)=(-13)^2+4(-13)-3=169-52-3=117-3=114[/tex]

27 2/10

   or

27 1/5

----------------------------------

Answer:

110°

Step-by-step explanation:

i dont think u need explanation so ill do it fast

The y-intercept of the quadratic function f(x) = (x - 8)(x + 3) is (0, -24).

The graph's intersection with the y-axis is known as the y-intercept. Finding the intercepts for any function with the formula y = f(x) is crucial when graphing the function. An intercept can be one of two different forms for a function. The x-intercept and the y-intercept are what they are. A function's intercept is the location on the axis where the function's graph crosses it.

This is an illustration of a y-intercept. Think about the line y = x + 3. The point where this graph crosses the y-axis is (0,3). Therefore, the y-intercept of the line y = x+ 3 is (0,3).

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All of the coefficients of a zero polynomial's variables are equal to zero. In other words, it indicates that the powers of all the variables are equal to zero.

Zero polynomials are any polynomials that have all of their variables' coefficients set to zero.

Thus, a polynomial with a value of zero has no value.

A constant function or zero map is the function that defines it, and it is typically written as P(x) = 0, where x is the variable of the polynomial whose coefficient is 0.

A zero polynomial is a polynomial that has zero as its coefficient and an endless number of terms and variables of various powers.

Like this: 0x^2 + 0x + 0.

The graph of the zero polynomial is the x-axis, and the zero polynomial function is defined as y = P(x) = 0.

Real numbers are believed to be the domain, while 0 is the range.

The range is the set of values for the dependent variable y, whereas the domain is the set of values for the variable x for which the function is defined.

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The probability that you correctly guess the letter section and then guess the correct number section where your car is located is 0.01.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Total possible outcomes.

= 8 x 22

= 176

Now,

Probability of guessing the correct letter.

= [tex]^8C_1[/tex] / 176

Probability of guessing the correct section.

= [tex]^{22}C_1[/tex] / 176

The probability that you correctly guess the letter section and then guess the correct number section.

= [tex]^8C_1 \times ^{22}C_1[/tex] / 176 x 176

= 8 x 22 / 176 x 176

=  1 / 176

= 0 .005

= 0.01

Thus,

The probability that you correctly guess where your car is located is 0.01.

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Answer:

option D

Step-by-step explanation:

Answer: D

Step-by-step explanation: my teacher said it was D.

Answer:

The fourth one

Step-by-step explanation:

Surface area of a cylinder: [tex]SA=2\pi rh+2\pi r^2[/tex]

where r = radius and h = height

We have a given height of 14cm and a given diameter of 6cm

We need the radius, not the diameter

To convert diameter to radius we simply divide by 2

6 / 2 = 3

so R = 3

We now plug in the given values into the formula

[tex]SA=2\pi (3)(14)+2\pi (3)^2[/tex]

This equation matches with answer choice D

Answer:

2 + m

Step-by-step explanation:

Answer:

60 m times 10 m

Step-by-step explanation:

So your answer is the second one!

Answer:

60 m × 10 m

Step-by-step explanation:

A) 2(14+10)=2(24)=48

B) 2(70+70)=2(140)=280

C) 2(60+10)=2(70)=140

Answer:

The numbers would be 21,23 and 25.

The largest is 25. (If this is what you are asking)

Step-by-step explanation:

The question stated that 3 consecutive odd numbers made up that 69.

Therefore, you can divide the 69 by 3 to determine the range of these numbers.

69/3= 33. So we know the range is 30-35-39 (These are the numbers youd look at to see which consecutive numbers adds up to the 69)

Reason why you divide:

For example, you wouldnt be able to use a number in its 30s or 10s because itd be too high or too low.

Hope it helps.

Answer:

6 months

Step-by-step explanation:

5cm +3x = 23 (goal)

-5              -5

3x=18

x=6 months

Answer:

plant b height will exceed the height of plant a after 16 days.

Step-by-step explanation:

Plant a: 5 cm tall and rate of change = 3 cm per month

Plant b: 4  cm tall and rate of change = 5 cm per month.

Now we have to form the linear equations.

Plant a:

y = 3x + 5, where y is the total height and "x" be the number of months.

Plant b:

y = 5x + 4 , where y is the total height and "x" be the number of months.

Now we have to when the height of the plant a and plant b are the same.

To do that, we have to equivate both the equations and find x.

3x + 5 = 5x + 4

Isolate the variables terms and constants.

5x - 3x = 5 - 4

2x = 1

Dividing both sides by 2, we get

x = 1 ÷ 2

x = 0.5 months.

So after 15 days, the height of the plant a and plant b are the same.

Therefore, plant b height will exceed the height of plant a after 16 days.

Answer:

it should be cylander b

Step-by-step explanation:

the formula for volume is πr^2(h) and the number being squared would need to be bigger for a greater volume.

Answer:

Irrational number

Step-by-step explanation:

Answer: $49

Step-by-step explanation:

2.5% of 40 = 1, 9x1= 9, 40+9 = $49

Answer:

Slope=-3.333/2.000=-1.667

X-intercept= -13/5 = -2.60000

Y-intercept= -13/3 = 14.33333

Answer:

he paid 19 dollars

Step-by-step explanation:

first we subtract tax which is 2 dollars then we find 50%

Answer:

x = 6

Step-by-step explanation:

The two triangles are similar so to find x we can use similarity ratio

x/18 = 8/24 cross multiply fractions

24x = 144 divide both sides by 24

x = 6

Answer:

i would say A because you have more of the 4 than anything else

Step-by-step explanation: