Use the graph below to determine the number of solutions the system has.

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{m = 9}}}}}[/tex]

Option A is the correct option

Step-by-step explanation:

[tex] \sf{5m + 3m - 8 = 64}[/tex]

Collect like terms

⇒[tex] \sf{8m - 8 = 64}[/tex]

Move 8 to right hand side and change it's sign

⇒[tex] \sf{8m = 64 + 8}[/tex]

Add the numbers

⇒[tex] \sf{8m = 72}[/tex]

Divide both sides of the equation by 8

⇒[tex] \sf{ \frac{8m}{8} = \frac{72}{8} }[/tex]

Calculate

⇒[tex] \sf{m = 9}[/tex]

Hope I helped!

Best regards!!

Answer:

[tex]\Huge \boxed{m=9}[/tex]

Step-by-step explanation:

[tex]5m + 3m - 8 = 64[/tex]

Combining like terms.

[tex]8m - 8 = 64[/tex]

Adding 8 to both sides.

[tex]8m=72[/tex]

Dividing both sides by 8.

[tex]m=9[/tex]

Answer:

[tex] \boxed{ \bold{ \sf{x = 25°}}}[/tex]

[tex] \boxed{ \bold{ \sf{(x + 5) = 30°}}}[/tex]

[tex] \boxed{ \bold{ \sf{5x = 125°}}}[/tex]

Step-by-step explanation:

We know that sum of angle of triangle adds up to 180°

Finding the value of x

[tex] \sf{5x + x + x + 5 = 180°}[/tex]

Collect like terms

⇒[tex] \sf{7x + 5 = 180}[/tex]

Move 5 to right hand side and change its sign

⇒[tex] \sf{7x = 180 - 5}[/tex]

Subtract 5 from 180

⇒[tex] \sf{7x = 175}[/tex]

Divide both sides of the equation by 7

⇒[tex] \sf{ \frac{7x}{7} = \frac{175}{7} }[/tex]

Calculate

⇒[tex] \sf{x = 25°}[/tex]

Finding the value of ( x + 5 )°

[tex] \sf{x + 5}[/tex]

plug the value of x

⇒[tex] \sf{25 + 5}[/tex]

Add the numbers

⇒[tex] \sf{30°}[/tex]

Finding the value of 5x

[tex] \sf{5 \times 25}[/tex]

Multiply the numbers

⇒[tex] \sf{125°}[/tex]

Hope I helped!

Best regards!!

Answer:

x° = 25°

(x + 5)° = 30°

5x° = 125°

Step-by-step explanation:

total angle inside the triangle = 180 = x + (x+5) + 5x

180 = x + x + 5 + 5x

group like terms

7x + 5 = 180

subtract 5 each sides

7x = 175

x = 175/7

x = 25°

solve for : (x + 5)°

(x + 5)° = 25 + 5

(x + 5)° = 30°

solve for 5x°

5x° = 5 * 25

5x° = 125

check

180 = x + (x+5) + 5x

180 = 25 + (25+5) + (5*25)

180 = 25 + 30 + 125

180 = 180

Answer:

∠ OLM = 47°

Step-by-step explanation:

Given:

∠ NLO = 41°

∠ NLM = 88°

Find:

∠ OLM

Computation:

⇒ ∠ NLM = ∠ NLO + ∠ OLM

⇒ 88° = 41° + ∠ OLM

⇒ ∠ OLM = 88° - 41°

⇒ ∠ OLM = 47°

Answer:

47

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, But I would show how to solve the problem

The area of a sector of a circle with radius r and a subtended central angle  θ in degree has an area of:

Area = [tex]\frac{\theta}{360}*\pi r^2[/tex]

Where θ is in degrees.

If the central angle is in radian, then the area of the sector is given as:

[tex]Area=\frac{\theta}{2\pi}*\pi r^2\\ Area=\frac{\theta}{2}* r^2[/tex]

Let us assume A circle has a radius of 2.5 mm a sector of the circle has a central angle of 4 pi/3 radians.

Therefore the radius (r) = 2.5 mm and the central angle (θ) = 4π/3

Therefore:

[tex]Area=\frac{\theta}{2}*r^2\\ \\Area=\frac{\frac{4\pi}{3} }{2} *2.5^2=13.1\ mm^2\\[/tex]

Answer:

The answer is 10/3.

Step-by-step explanation:

Think of position. After one hour just as the fast truck starts, the slow truck is at a position 50 miles. Let's see where they aree at time t hours after the fast truck begins his trip: Slow Truck: 50 miles + (50 miles/hour)×t Fast Truck: (65 miles per hour)×t .

What is t when their positions are the same?

50 + 50t = 65t

50 = 65t - 50t

50 = 15t

50/15 = t

10/3 = t

t = 10/3.

It is proven that "the sum of the squares of four consecutive integers is an even integer" is the solution part.

To prove that the sum of the squares of four consecutive integers is an even integer, we need to show that it can be expressed as twice another integer.

Let's assume the four consecutive integers are n, n+1, n+2, and n+3.

The sum of their squares can be expressed as:

[tex]n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2[/tex]

Expanding the squares, we have:

[tex]n^2 + (n^2 + 2n + 1) + (n^2 + 4n + 4) + (n^2 + 6n + 9)[/tex]

Combining like terms, we simplify this expression to:

[tex]4n^2 + 12n + 14[/tex]

Now, let's consider this expression [tex]4n^2 + 12n + 14[/tex].

We can factor out 2 from each term, resulting in:

[tex]2(2n^2 + 6n + 7)[/tex]

Since [tex]2n^2 + 6n + 7[/tex] is an integer, let's denote it as k, where k is an integer.

Therefore, the expression becomes:

2k.

We have successfully expressed the sum of the squares of four consecutive integers as twice another integer (2k), which proves that it is an even integer.

Hence, the sum of the squares of four consecutive integers is an even integer.

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Answer:

y = [tex]\frac{4}{3}[/tex] x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{4}{3}[/tex] x - 5 ← is in slope- intercept form

with slope m = [tex]\frac{4}{3}[/tex]

Parallel lines have equal slopes, thus

y = [tex]\frac{4}{3}[/tex] x + c ← is the partial equation

To find c substitute (- 6, - 5) into the partial equation

- 5 = - 8 + c ⇒ c = - 5 + 8 = 3

y = [tex]\frac{4}{3}[/tex] x + 3 ← equation of parallel line

Answer:

the answer to the promblem is 521,000

Answer:

522,000

Step-by-step  

If the number is 5 you let it go up if its below you let it go down.

Answer:

D

Step-by-step explanation:

The question has 2 + (-8), and in the timeline, your starting point has to be in positive 2. As for the -8, the negative goes to the left, and therefore your answer is D, as that is the only timeline that follows the instructions of the question,

Answer:

[tex]\Huge \boxed{\mathrm{D}}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

2 + ( -8 )

2 is on the number line.

When -8 is added to 2, the value decreases, and it moves 8 units to the left side.

The result is -6.

[tex]\rule[225]{225}{2}[/tex]

Answer:

35,012,129 > 35,011,129

Answer:

>

Step-by-step explanation:

everything is the same but the 12 and 11

Step-by-step explanation:

Given that,

The hypotenuse of a right triangle is 15 cm

Let x is the length of the other leg. So, the length of the first leg is 2x.

Using Pythagoras theorem for the right angle triangle such that,

hypotenuse² = base²+height²

Let base is x and height is 2x

So,

[tex]15^2=x^2+(2x)^2\\\\225=x^2+4x^2\\\\225=5x^2\\\\x^2=45\\\\x=3\sqrt{5} \ cm[/tex]

Hence,

Base = [tex]3\sqrt{5} \ cm[/tex]

Height = [tex]2\times 3\sqrt{5} \ cm=6\sqrt5\ cm[/tex]

Hyoptenuse = 15 cm (given)

Answer:

c

Step-by-step explanation:

Answer:

A.25

Step-by-step explanation:

Answer:

Center: (4, -6)

Radius: 2

Step-by-step explanation:

Circle Equation: (x - h)² + (y - k)² = r²

(h, k) is center

r = radius

Step 1: Write out equation

(x - 4)² + (y + 6)³ = 4

Step 2: Identify variables

h = 4

k = -6

r² = 4

Step 3: Find answers

Center = (4, -6)

√r² = √4

r = 2

Answer:

Option (3)

Step-by-step explanation:

If a complex number is in the form of (a + ib), real part of the complex number is 'a' and imaginary part is 'b'.

Given complex number is (-3 + 2i )

Comparing this number with (a + ib), real part of the number will be (-3) and imaginary part of the number will be 2.

Option (3) will be the answer.

Answer:

What do you want for the answer?

This?

500-50n

Step-by-step explanation:

Answer:

The question is not complete, below is the complete question:

Suppose that a factory worker turns 62 years old and retires from her job. Which statistic is not affected? A. number of unemployed B. unemployment rate C. labor force D. labor-force participation rate

Answer:

The correct andwer is:

number of unemployed (A.)

Step-by-step explanation:

The terms highlighted in the options of the question refer to terms associated with the labour force of an economy. Let us take a look at each of them and justify why we chose the option A

1. Number of unemployed: The number of unemployed in an economy refers to the number of people who are without employement, while actively searching for employment, willing to work and have actively sought for employment in the past four weeks. In this example, a factory worker retiring at 62 is not actively looking for work anymore, hence this transition does not affect the number of unemployed individuals in an economy

2. unemployment rate: The unemployment rate refers to the percentage of labor force that is jobless. Mathematically, it is represented as:

[tex]Unemployment\ rate\ =\ \frac{umemployed}{Labour\ force} \times\ 100[/tex]

In this example, a factory worker retiring at 62, reduces the labor force (number fit to work) in a population, and since the unemployment rate is in turn affected by the labour force (inversely), the unemployment rte is affected by the retiring of the factory worker

3. Labor force: The labor force in an economy are all the individuals who are fit and able to work. It inclues all those who are actively employed and those who are unemployed. A retired factory worker is not part of the labor force, because retirement age disqualifies him/her from being fit to work, hence the retirement reduces the labor force.

4. Labor-force participation rate: This is the coolective numbere of civilians or non-institutional people 16 years or older, who are working or actively looking for work. Retirement reduces the labor-force participation rate

Answer:

The range of the function is -10, 10.

 The period of the function is 1.2 seconds.

The maximum of the function is 10 centimeters.

Step-by-step explanation:

The range of a cosine function is the set of output values. In this situation, the range is the distance the pendulum covers, which is represented on the D(t) axis. The graph shows that the range of the function D(t) is [-10, 10].

The period is the length of a cycle. The graph shows that the cycle repeats every 1.2 seconds.

The maximum is the y-value of the highest point on the graph. The graph shows the maximum of the function is 10 centimeters.

Answer:

y= 4x -15

Step-by-step explanation:

Please see attached picture for full solution.

ne s o

Step-by-step explanation:

Answer:

GDE = 63

EDH = 63

GDH = 126

FDG = 74

FDH = 200

FDE = 137

Step-by-step explanation:

It is stated that DE bisects <GDH. Since bisecting means halving into equal parts, <GDE = <EDH

from the question,

<GDE = (8x-1)

<EDH = (6x+15)

Since <GDE = <EDH,

(8x-1) = (6x+15), if we collect like terms

8x - 6x = 15 + 1

2x = 16

x = 8°

Again, from the diagram, we see that

<GDH = <GDE + <EDH, thus

<GDH = (8x-1) + (6x+15)

<GDH = 8x -1 + 6x + 15

<GDH = 14x + 14, substitute for x

<GDH = 14*7 + 14

<GDH = 112 + 14

<GDH = 126°

<FDG = 180 - <CDF - <GDE

<FDG = 180 - 43 - 63

<FDG = 74°

<FDH = <FDG + <GDE + <EDH

<FDH = <FDG + <GDH

<FDH = 74 + 126

<FDH = 200°

<FDE = <FDG + <GDE

<FDE = 74 + 63

<FDE = 137°

The measure of angle m∠GDE is 71.4° and the measure of angle m∠EDH is 65.6° on straight angle ∠CDE.

The straight angle ∠CDE, DE bisects GDH, m∠GDE=(8x-1)°, m∠EDH=(6x+15)° and m∠CDF=43°.

Here, m∠GDE+m∠EDH+m∠CDF = 180°

So, (8x-1)°+(6x+15)°+43°=180°

14x+57°=180°

14x=180°-57°

14x=123

x=123/14

x=8.8°

m∠GDE=8x-1

= 71.4°

m∠EDH= 65.6°

Hence, the measure of angle m∠GDE is 71.4° and the measure of angle m∠EDH is 65.6° on straight angle ∠CDE.

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Answer:  1/4

Step-by-step explanation:

If there are  6 black markers and they are a total combination of 24 difference colored markers.  

The  the fraction will be 6/24  which reduces to 1/4

Answer:

56

Step-by-step explanation:

Answer:

30.39in^2 (^2 means squared)

Step-by-step explanation:

3 x 3 = 9in^2

3.1 x 6.9 =21.39in^2

9 + 21.39 = 30.39in^2

Answer:

20%

Step-by-step explanation:

Turn 2 out of 10 into a percentage.

[tex]\frac{2}{10}[/tex] × [tex]\frac{10}{10}[/tex] = [tex]\frac{20}{100}[/tex] → 20%

Answer:

1/9

Step-by-step explanation:

The probability that two brown sit together is 0.2.

What is the meaning of arrangements?

the act of putting things in order

Here, it is given that ;

there are Two brown and 8 red birds.

Total number of ways 10 distinct birds can sit = 10!

Now,

When out of total arrangement the number of ways in which two brown birds and 8 red birds can sit is :

¹⁰C₂ = 10!/ (2! x 8!)

¹⁰C₂ = 45 ways

Now, consider two brown birds as one bird then the number of arrangement will be :

⁹C₁ = 9!/1! = 9

The probability that two brown sit together will be :

9/45 = 0.2

Therefore, the probability that two brown sit together is 0.2.

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Answer:

  107° 30'

Step-by-step explanation:

As in part (a), the hour hand moves 30° per hour, so at 1:25, it has moved ...

  (1 25/60)(30°) = 42.5°

from the vertical at noon.

Similarly, the minute hand moves 6° per minute, so at 1:25, it has moved ...

  (25)(6°) = 150° from the vertical at 1 o'clock.

The exact angle difference is ...

  150° -42.5° = 107.5° = 107° 30'

Answer:

A= Area

B= Base of the figure

H= Height of the figure

B and H are multiplied together to find the area

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

The given statement is false because behavioral field study deals with the cognitive processes during field study or task.

In the given statement only the physical strength of the students is measured while behavioral field study measures or explores human behavior and how or what techniques are students using to perform the field task.

Hence, the correct option is "False".

Answer:

6x^2

Step-by-step explanation:

Because we are multiplying 6 and a number x squared, we know that x will have an exponent of 2. Then, multiplying that by 6 and using conventional algebraic techniques, we can combine the two terms together.

6 * x^2

6x^2

Answer:

[tex]\displaystyle \rm \longmapsto 6 \times x {}^{2} [/tex]

[tex]\displaystyle \rm \longmapsto {6x}^{2} [/tex]