Simplify the expresion 9(8 - 5)^3 + (8 + 2) ÷ 5

Answer:

JML = 176°

Step-by-step explanation:

JML = 2 angle JKL

= 2 × 88°

= 176°

HOPE THIS HELPS AND HAVE A NICE DAY <3

The graph of f(x) is the second one, so the correct option is B.

Here we have f(x), a piecewise function, and we want to see which one of the four graphs is the correct one.

You can see that the first domain of the function is:

x ≤ -4

So we must have a closed circle at x = -4, when the parabola ends.

The second domain is:

-4 < x < 1

So x here is not equal to -4 nor 1, so this part starts and ends with open circles.

finally, the linear part starts with a closed circle.

Also, notice that the line has a negative slope, so it goes down, then we can discard the first option.

Then we can see that the correct option is the second graph.

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This is an exponential growth. We would apply the exponential growth formula which is expressed as

y = a(1 + r)^t

Where

a represents the imitial number of subscribers

r represents the growth rate

t represents the number of years

y represents the number of subscribers after t years

From the information given,

a = 750

r = 80/100 = 0.8

t = 9 (number of years between 2000 and 2010)

Thus,

y = 750(1 + 0.8)^9

y = 750(1.8)^9

y = 148769.48

Rounding to the nearest whole number, the number of cell phone subscribers in 2010 is

148769

The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively

Given the function :

Substitute the given value of x to obtain the corresponding f(x) values :

x = -0.6

f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358

x = -0.51

f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350

x = -0.501

f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967

x = -0.5

f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959

x = -0.4999

f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958

x = 0.499

f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951

x = -0.49

f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188

x = -0.4

f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125

Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013

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Answer:you have the correct answer

Step-by-step explanation:

Answer: B i think

Step-by-step explanation:

A term can be a number, a variable, product of two or more variables or product of a number and a variable. An algebraic expression is formed by a single term or by a group of terms.

Answer:

34

Step-by-step explanation:

15 mins is 1/4 od an hour so mulitply 8 1/2 (8.5) x 4

Answer:

First we figure out how many words in total she has to read.

This would be the (number of pages) times (number of words per page).

820 * 350 = 287000

so she has to read 287000 words

we divide this by 110 to get how long it would take for her to finish (in minutes)

287000 / 110 = 2609.09090909....

then since there are 60 minutes in an hour, we divide that number by 60

2609.09090909... / 60 = 43.48484848...

Therefore it would take her about 43.5 hours to complete her assignment.

Step-by-step explanation:

Answer:

There is no solution to the systems of equation.

Step-by-step explanation:

Graph the system by using y=mx+b

Both systems are y=2/5x+5/2.

Answer:

that guy is wrong. its the first option.

Step-by-step explanation:

i just took it

Answer: 2x - 3 = 15 , 81/x - 3 = 6

Step-by-step explanation:

Substitute 9 for x on each equation and see if the sides are equal to each other

4 + 5x = 18

4 + 45 = 18

49 = 18 ( false )

2x - 3 = 15

2(9) - 3 = 15

18 - 3 = 15

15 = 15

3x + 2 = 25

3(9) + 2 = 25

27 + 2 = 25

29 = 25 ( false )

24 - 2x = 13

24 - 2(9) = 13

24 - 18 = 13

6 = 13 ( false )

x/3 + 7 = 8

9/3 + 7 = 8

3 + 7 = 8

10 = 8 ( false )

81/x - 3 = 6

81/9 - 3 = 6

9 - 3 = 6

6 = 6

Hope this helps !

Understanding statistical questions and data distributions is an important concept in data analysis and statistics. A statistical question is one that can be answered by collecting and analyzing data.

These questions typically ask about a population or group of individuals and are often related to trends or patterns.

Data distributions refer to the way data is spread out or distributed within a dataset. This can include measures like the mean, median, and standard deviation. Understanding data distributions is important for making accurate interpretations and predictions based on the data.

To practice understanding statistical questions and data distributions, it's important to work with real-world datasets and ask questions that can be answered using statistical analysis.

This can involve looking at trends and patterns in the data and interpreting the results in a meaningful way. By building these skills, you can become better equipped to analyze and interpret data in a variety of settings.

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Answer:

A = 2184 cm²

Step-by-step explanation:

the area (A) of the figure is calculated as

A = \(\frac{1}{2}\) h(b₁ + b₂)

where h is the perpendicular height between the bases b₁ and b₂

here h = 42 , b₁ = 52 , b₂ = 52 , then

A = \(\frac{1}{2}\) × 42 × (52 + 52) = 21 × 104 = 2184 cm²

Answer:

A = 2184 cm2

Step-by-step explanation:

Area of a parallelogram:

\(A = b*h\)

\(b=52,h=42\)

\(A=(42)(52)=2184cm^{2}\)

Hope this helps.

Answer:

The unknown value of x is 6.6

Step-by-step explanation:

38.9 + x = 45.5

x = 45.5 - 38.9

x = 6.6

Answer:

question 18. the height of the cylinder is approximately 8.45 cm.

question 19. the height of the cylinder is 5 cm, the volume of the cylinder is approximately 98.17 cm^3.

I dont know how to do question 20, sorry.

question 18 explanation

The formula for the volume of a cylinder is:

V = πr^2h

where V is the volume, r is the radius of the base, and h is the height.

We are given that the volume is 6000 cm^3 and the diameter (which is twice the radius) of the base is 30 cm. Therefore, the radius of the base is:

r = d/2 = 30/2 = 15 cm

Substituting the given values into the formula for the volume, we get:

6000 cm^3 = π(15 cm)^2h

Simplifying the equation, we get:

6000 cm^3 = 225πh

Dividing both sides by 225π, we get:

h = 6000 cm^3 / (225π) ≈ 8.45 cm

Therefore, the height of the cylinder is approximately 8.45 cm.

question 19 explanation

If a cylinder has the same height as its width, it means that the diameter (which is twice the radius) of the base is equal to the height. Let's choose a value for the height, for example, let's say the height is 5 cm.

Then, the diameter of the base is also 5 cm, and the radius is:

r = d/2 = 5/2 = 2.5 cm

The formula for the volume of a cylinder is:

V = πr^2h

Substituting the given values, we get:

V = π(2.5 cm)^2(5 cm) = 31.25π cm^3 ≈ 98.17 cm^3

Therefore, if the height of the cylinder is 5 cm, the volume of the cylinder is approximately 98.17 cm^3.

The reasonable domain for the function f(x) = -2/3x + 4 in this situation is B. 0 ≤ x ≤ 6

In this question, we have:

Function, f(x) = -2/3x + 4

Where

x is the bottles of hand sanitizer per month

The function f(x) cannot be less than 0

So, we have

-2/3x + 4 = 0

This gives

-2/3x = -4

Solve for x

x = 6

This means that x cannot exceed 6

Hence, the domain is (b) . 0 ≤ x ≤ 6

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The magnitude of the acceleration is a constant value of 18

Each part of the location vector's second derivative must be calculated.

Given:

x = 402 + 8t

y = 2 cos(3t)

z = 2 sin(3t)

The position vector r(t) = (x, y, z)

First, let's find the velocity vector v(t) by taking the first derivative of each component:

v(t) = (dx/dt, dy/dt, dz/dt)

v(t) = (8, -6 sin(3t), 6 cos(3t))

Next, let's find the acceleration vector a(t) by taking the first derivative of each component of the velocity vector:

a(t) = (d²x/dt², d²y/dt², d²z/dt²)

a(t) = (0, -18 cos(3t), -18 sin(3t))

Finally, we can find the magnitude of the acceleration vector:

|a(t)| = √[(d²x/dt²)² + (d²y/dt²)² + (d²z/dt²)²]

|a(t)| = √[0² + (-18 cos(3t))² + (-18 sin(3t))²]

|a(t)| = √(324 cos²(3t) + 324 sin²(3t))

|a(t)| = √324 (cos²(3t) + sin²(3t))

|a(t)| = 18

Therefore, the magnitude of the acceleration is a constant value of 18.

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From the given parameters the magnitude of the acceleration is  18

Recall that the magnitude of acceleration is a physical term defined as the ratio of velocity variation to time, represented by the equation a = v/t. It is a vector quantity that includes both magnitude and direction

x = 402 + 8t

y = 2 cos(3t)

z = 2 sin(3t)

The position vector r(t) = (x, y, z)

But, the velocity vector v(t) by taking the first derivative of each component:

v(t) = (dx/dt, dy/dt, dz/dt)

v(t) = (8, -6 sin(3t), 6 cos(3t))

And  the acceleration vector a(t) by taking the first derivative of each component of the velocity vector:

a(t) = (d²x/dt², d²y/dt², d²z/dt²)

a(t) = (0, -18 cos(3t), -18 sin(3t))

Now, the magnitude of the acceleration vector:

|a(t)| = √[(d²x/dt²)² + (d²y/dt²)² + (d²z/dt²)²]

|a(t)| = √[0² + (-18 cos(3t))² + (-18 sin(3t))²]

|a(t)| = √(324 cos²(3t) + 324 sin²(3t))

|a(t)| = √324 (cos²(3t) + sin²(3t))

|a(t)| = 18

In conclusion,  magnitude of the acceleration is 18.

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Total amount of canvas Dwayne buy is, 36 feet.

Given that;

Dwayne buys 4 yards of white canvas and 8 yards of blue canvas.

Hence, Total amount of canvas is,

⇒ 4 + 8 yards

⇒ 12 yards

Since, 1 yards = 3 feet

Hence, We get;

⇒ 12 yards = 12 × 3 = 36 feet

Thus, Total amount of canvas is, 36 feet.

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Answer:

D+Q = 31

10D + 25Q = 595

10D + 10Q = 310

subtract to get

15Q = 285 Q = 285/15 = 19 quarters D = 31-19 = 12 dimes

We have

In order to graph a line, we need to calculate two points.

If x=0

y=-2(0)-4

y=-4

Point (0,-4)

if x=2

y=-2(2)-4

y=-8

Point (2,-8)

Therefore the graph of the line is

ANSWER

B.

Answer:

  (A) 308 clocks

  (B) 423 clocks

Step-by-step explanation:

The contribution margin is the amount by which the selling price of the clock exceeds the cost of the clock. The contribution margin is used to figure the break-even point, and the amount of profit from sales.

  contribution margin = selling price - variable cost - purchase price

  contribution margin = $84 -5 -53 = $26

__

To break even, the contribution margin from 'b' clocks must equal or exceed the owner's fixed cost:

  26b ≥ 8000

  b ≥ 8000/26

  b ≥ 307.7

The owner must sell 308 clocks each month to break even.

__

To make a profit of $3000, the owner must sell enough clocks to cover the $8000 fixed cost and contribute an additional $3000. That is, the total contribution margin from selling p clocks must be about $3000+8000 = $11000.

  26p ≈ 11000

  p ≈ 11000/26 ≈ 423.08

The owner must sell about 423 clocks each month to earn a profit of about $3000.

__

Additional comment

Selling 423 clocks will yield a profit of $2998.

Answer:

= (9×10.35$)÷5

= $18.63

Answer:

9 bags would cost 18.63

Step-by-step explanation:

To determine the cost for 9 bags of oranges, we can use proportions to solve

10.35               x

------------   = -------------

5 bags          9 bags

Using cross products

10.35 * 9 = 10 * 5

93.15=5x

Divide each side by 5

93.15/5 = x

18.63 =x

9 bags would cost 18.63

The sum of the first 8 terms is 13.5

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

9, 3, 1, 1/3, ...

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

First term, a = 9

Common ratio, r = 1/3

The sum of GP (of n terms) is calculated as

Sum = Sn = a(r^n - 1) / (r - 1)

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

Sum = 9 * ((1/3)^8 - 1)/((1/3) - 1)

Evaluate

Sum = 13.5

Hence, the sum is 13.5

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Answer:

85

Step-by-step explanation:

To find the average value of a data set, divide the sum all the data values by the total number of values.

\(\sf Average=\dfrac{\textsf{sum of all the numbers}}{\textsf{amount of numbers}}\)

Given scores:  126, 38, 56, 82, 123

Therefore:

\(\sf Batting\:average=\dfrac{126+38+56+82+123}{5}=\dfrac{425}{5}=85\)

Therefore, Rahul's batting average was 85

Answer:

4

Step-by-step explanation:

-3+4+2+1=4

Answer: 16.25 cubic cm

Step-by-step explanation:

The volume of a prism is found using V = l*w*h. Here l = 1.25, w = 4 and h = 3.25. Substitute and simplify.

V = 1.25(4)(3.25)

V = 16.25

Answer:

23200

Step-by-step explanation: I took the test

Answer:

Radius is 9

Formula of a circumference is:

2πr

we can use pie/π as 3.14

3.14 x 2 x 9 (radius) = 56.52

Step-by-step explanation:

If there is a diameter only do half of that and that would be your radius.

Answer:

18π inches (or approximately 56.549 inches)

Step-by-step explanation:

The formula to find circumference is 2πr (or πd). Since we are given the radius (which is half of a circle), we will use 2πr, and the radius (or r) is equal to 9. So you just plug that into the circumference formula, and get:

2*π*9 = 18π

So, the circumference is 18π inches or approximately 56.549 inches (when rounded to the nearest thousandths).

Answer: B

Step-by-step explanation:

The vertical asymptotes are at x=-4 and x=1, so the denominator needs to have factors of (x+4) and (x-1).

This eliminates everything except for B.

The annual interest rate of jessica's loan is 6%.

Interest rate is the amount a lender charges a borrower and is a percentage of the principal.

To calculate the annual interest rate of Jessica's loan, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the annual interest rate is 6%.

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