(6,3*10^-2)÷(2,1*10^4​

Answer:

C: 3^0 = 1

Step-by-step explanation:

When dividing two exponents with the same bases, you subtract them

2-2 = 0

so: 3^0 which equals 1

For this specific question there's an even easier way

dividing a number by itself is always gives 1 so it has to be C

Answer:

X = 7

Step-by-step explanation:

If you look you can see that the middle line has 6 and 3.

3 is half of 6 right?

So this means that 3.5 is half of whatever x is.

Just multiply 3.5 by 2 to find x.

(3.5)(2) = x

x = 7

Therefore, x is equal to 7.

I hope this helps!!

- Kay :)

Answer:

x = 20

Step-by-step explanation:

60 = x+40

subtract 40 from both sides and you get

20 = x

so x = 20

The value of x in the trapezoid given, to the nearest tenth, is: 10.5.

A trapezoid is a quadrilateral that has two sides only that are parallel to each other.

To find the area of a trapezoid, the formula used is expressed as: 1/2(a + b) × h, where:

Given the following:

Area of trapezoid = 174 units²

AP = 6

PB = x + 3

CD = 2x + 6

AC = 10

Using the formula, we variables in the formula are:

a = AP + PB = 6 + x + 3 = x + 9

b = CD = 2x + 3

h = PC = √(AC² - AP²)

h = √(10² - 6²) = 8

Plug in the values into 1/2(a + b) × h:

174 = 1/2(x + 9 + 2x + 3) × 8

174 = 1/2(3x + 12) × 8

174 = (3x + 12) × 4

174 = 12x + 48

174 - 48 = 12x

126 = 12x

126/12 = x

10.5 = x

x = 10.5

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According to the angles between intersecting secant and tangent, the value of

angle DF is 52 degrees

angle PQR = 49 degrees

The value of angle DF is solved using the angles of intersecting secant out side the circle

The theorem give the formula in the form

44 = 1/2 (140 - DF)

88 = 140 - DF

DF = 140 - 88

DF = 52 degrees

Using intersection of tangents, for the second figure

exterior angle = 1/2 (major arc - minor arc)

major arc = 360 - 131 = 229

PQR = 1/2 (229 - 131)

PQR = 49 degrees

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The equations that can be used to solve for y, the length of the room, are: y(y + 5) = 750, y² – 5y = 750, and y(y – 5) + 750 = 0.

It states that when multiplying a number by a group of numbers added together, you can multiply the number by each individual number in the group and add the products together to get the same answer.

In order to find the length of the room, we need to solve for y in each of the equations given.

First, let's solve for y in the equation y(y + 5) = 750. We can use the distributive property to expand the equation to y² + 5y = 750.

Then, we can subtract 750 from both sides of the equation to get y² + 5y - 750 = 0.

To solve the equation, we need to factor it. We can use the difference of squares formula to factor the equation, yielding (y + 25)(y - 30) = 0. Therefore, one solution for y is y = -25, and the other solution is y = 30.

Second, let's solve for y in the equation y² – 5y = 750.

To solve this equation, we can add 5y to both sides to get y² = 5y + 750. Then, we can divide both sides by y to get y = 5y + 750.

We can then subtract 5y from both sides to get y - 5y = 750. Finally, we can divide both sides by 5 to get y = 150.

Third, let's solve for y in the equation y(y – 5) + 750 = 0.

To solve this equation, we can use the distributive property to expand the equation to y² – 5y + 750 = 0.

Then, we can subtract 750 from both sides to get y² – 5y = -750.

To solve the equation, we need to factor it. We can use the difference of squares formula to factor the equation, yielding (y + 25)(y - 30) = 0. Therefore, one solution for y is y = -25, and the other solution is y = 30.

In conclusion, the equations that can be used to solve for y, the length of the room, are y(y + 5) = 750, y2 – 5y = 750, and y(y – 5) + 750 = 0. The solutions for y are y = -25 and y = 30.

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Answer: I think that if it is not 214 than you should just guess and see if that is the correct answer

Step-by-step explanation:

Answer:

3:1:4

Step-by-step explanation:

So the ratio is 18:6:24

To simplify it you divide all the numbers by 6 ( the highest common factor )

It then becomes 3:1:4

HOPE THIS HELPED

The answer is:  4100x  +  21390

We need to know the number of months Marian wants to save to get the specific value.

In the equation, we will need to calculate the maximum amount of money Marian can spend on the house.

We can calculate the maximum amount of money Marian can spend on a house by multiplying her monthly income by the number of months she would want to save.

Marian earns $4,100.00 per month

Suppose Marian wants  to save for  x months,  then the maximum amount that she can spend on the house is:

4100  *   x    +  21390

The answer is:  4100x  +  21390

We need to know the number of months Marian wants to save to get the specific value.

Hope this helps!

Calista's grade on her last assignment is 98.

To determine Calista's grade on her last assignment, we can calculate the average grade using the given information.

The sum of Calista's grades on the first five assignments is: 62 + 88 + 92 + 74 + 78 = 394.

Since the average grade is given as 82, we can find the total sum of all six assignments by multiplying the average grade by the number of assignments, which is 6: 82 * 6 = 492.

To find Calista's grade on her last assignment, we subtract the sum of her grades on the first five assignments from the total sum: 492 - 394 = 98.

To determine Calista's grade on her last assignment, we can calculate the average grade using the given information.

The sum of Calista's grades on the first five assignments is: 62 + 88 + 92 + 74 + 78 = 394.

Since the average grade is given as 82, we can find the total sum of all six assignments by multiplying the average grade by the number of assignments, which is 6: 82 * 6 = 492.

To find Calista's grade on her last assignment, we subtract the sum of her grades on the first five assignments from the total sum: 492 - 394 = 98.

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Answer:

Step-by-step explanation:

i am working on the assumption that nobody does all three of them

i got 4 because including the people that do swimming and park, the total number of people that do swimming is 22.

the same logic goes for cycling: including the people that do swimming and visit the national park, the total is 23.

so that means that find how many people do swimming and cycling, we have to add the people doing only swimming, with the people doing both swimming and park and then subtract that answer from 22 which gives you 4

The perimeter of the triangle OQR is 68 cm

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

Circles with the centers O, Q and R

When these centers are connected, the connection forms a triangle

The triangle OQR

Also from the question, we have the following values of radii

Radii = 8 cm, 11 cm and 15 cm

The perimeter of the triangle OQR is calculated as

Perimeter = Twice the sum of the radii

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

Perimeter = 2 *(8 + 11 + 15)

Evaluate the sum

Perimeter = 2 * 34

Evaluate the products

Perimeter = 68

Hence, the perimeter is 68 cm

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Answer:

1) When r = 2, M = 20.

2) When M  = 540, r = 6.

Step-by-step explanation:

M is a directly proportional to r cubed

This means that the equation for M has the following format:

\(M = ar^3\)

In which a is a multiplier.

When r=4 M=160.

We use this to find a. So

\(M = ar^3\)

\(160 = a(4^3)\)

\(64a = 160\)

\(a = \frac{160}{64}\)

\(a = 2.5\)

So

\(M = 2.5r^3\)

1) work out the value of M when r=2

\(M = 2.5*2^3 = 2.5*8 = 20\)

When r = 2, M = 20.

2) work out the value of r when M=540

\(M = 2.5r^3\)

\(540 = 2.5r^3\)

\(r^3 = \frac{540}{2.5}\)

\(r^3 = 216\)

\(r = \sqrt[3]{216}\)

\(r = 6\)

When M  = 540, r = 6.

The required probability is 3 √7 / 32.

Given, a square with sides of length 4 units and a red-shaded triangle with sides 3 units, 3 units and 4 units. We need to find the probability that a randomly selected point within the square falls in the red-shaded triangle.To find the probability, we need to divide the area of the red-shaded triangle by the area of the square. So, Area of square = 4 × 4 = 16 square units. Area of triangle = 1/2 × base × height.

Using Pythagorean theorem, the height of the triangle is found as: h = √(4² − 3²) = √7

The area of the triangle is: A = 1/2 × base × height= 1/2 × 3 × √7= 3/2 √7 square units. So, the probability that a randomly selected point within the square falls in the red-shaded triangle is:  P = Area of triangle/Area of square= (3/2 √7) / 16= 3 √7 / 32.

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bearing in mind that a cube has all equal sides, Check the picture below.

Part A: There are 28 green beans in the garden. Part B: There are 80 plants that are either pumpkin or tomato. Part C: There are 52 more corn plants than cucumber plants.

A circle graph, often called a pie chart, is a circular graph with sectors on it, each representing a particular category or set of data. Each sector's area or angle is proportionate to the amount it stands for. In data visualisation, circle graphs are frequently used to show the relative sizes or proportions of several categories or groups within a dataset. They can instantly convey the distribution of data without the need for laborious numerical calculations, which makes them effective for presenting data that is divided into discrete groups. However, if the data is not presented in a clear and simple manner or if the sectors are not precisely drawn to scale, circle graphs may be deceiving.

Part A: The percentage of green beans in the circle graph is 14%.

14% of 200 = 0.14 x 200 = 28

Part B: The circle graph shows:

pumpkin plants and tomato plants is 20% + 20% = 40%.

40% of 200 = 0.40 x 200 = 80

Part C: The corn plants is 36% and the percentage of cucumber plants is 10%.

36% of 200 - 10% of 200 = (0.36 x 200) - (0.10 x 200) = 72 - 20 = 52

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Answer: A and B

Step-by-step explanation:

you can’t have division by a variable in a polynomial, so c and e are out.

you also cannot have a variable with a fractional exponent(or variables under a radicals), so d is out.

To solve the given equation, add 4 on each side and multiply by 8

Given the equation:

To solve the above equation, we follow the following steps:

STEP 1:

Add 4 on each side of the equation:

STEP 2:

Multiply each side by 8:

Answer:

     y = 2x +1

Step-by-step explanation:

Rewriting the given equation to solve for b, you have ...

  b = y - mx

Using the given values of (x, y) = (4, 9) and m = 2, you find b to be ...

  b = 9 -2(4) = 1

Then the equation is ...

  y = mx +b

  y = 2x +1

Answer:

78.5 %

Step-by-step explanation:

the probability = π(2)² / (4×4) ×100%

= 4π /16 × 100%

= π/4 ×100%

= (π×25)%

= 3.14 × 25 %

= 78.5 %

Answer:

i need a better picture reference to help you

Step-by-step explanation:

Answer:

65.82

Step-by-step explanation:

The reference angle we are using is the 60 degree angle, therefore n is the opposite.

We have the adjacent side as 38. So we can use this equation

tan(60) = 38/x

38 * tan(60) = 65.8179306876 or 65.82

You are very welcome!

Kayden Kohl

8th Grade Student

Answer:

F(x) = x^3  and G(x) = (4x)^3 − 5

so

G(x) = F(4x) -5

the visual effect is

1) shrink horizontally by 1/4

2) shift down by 5

therefore  

the answer is the option

D.The graph of G(x) is the graph of F(x) compressed horizontally and shifted 5 units down.

Step-by-step explanation:

Answer: 393 + 491 = 708 + 176

Step-by-step explanation:

Simplify the right side and use a variable for the blank

393+x=708+176

393+x=884

Now subtract 393 on both sides

393-393+x=884-393

x=491

Answer:

(x+11)/3

Step-by-step explanation:

The domain and the range of the function represented by the graph are [-2, 2) and (-4, 4]

In mathematics, the domain and range of a function are used to describe the set of possible input and output values of the function, respectively.

From the graph, we have the set of input values to be

Input = From -2 (closed circle) to 2 (open circle)

This means that the domain is

[-2, 2)

From the graph, we have the set of output values to be

Output = From -4 (open circle) to 4 (closed circle)

This means that the range is

(-4, 4]

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(a) The initial bullfrog population is, 100.

(b) Function that models the bullfrog population is, \(n(t) = 100(1.5)^t\).

(c) The projected bullfrog population after 13 years is, 19462.

(d) The number of years takes the population to reach 25,000 are 13.6 years.

What is population growth?

The rise in the number of people on Earth is referred to as population growth. The majority of human history saw a relatively steady population size. Energy, food, water, and medical care, however, became more accessible and dependable as a result of innovation and industrialization.

(a) From the given graph initial population can be founded at t = 0.

Therefore, at t = 0 the initial population is 100.

(b) From the graph the points are (0, 100) and (2, 225).

Let exponential function be

n(t) = ab^t

At (0, 100) ⇒ 100 = a(b)^0

⇒ a = 100

At (2, 225) ⇒ 225 = ab^2

⇒ 225 = 100 · b^2

⇒ b^2 = 2.25

⇒ b = 1.5

Therefore, \(n(t) = 100(1.5)^t\)

(c) We have to find projected bullfrog population after 13 years.

Plug t = 13 in the above equation.

\(n(13) = 100(1.5)^1^3 = 19461.95068\)

n(13) ≈ 19462

Hence, the bullfrog population after 13 years is, 19462.

(d) We have to find the number of years to takes the population to reach 25,000.

Plug n(t) = 25000 in the above equation.

\(25000=100(1.5)^t\\t = 13.6\)

Hence, the number of years are 13.6 years.

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Answer:

Booster club purchased 5 pies.

Step-by-step explanation:

Let the number of pies purchased by booster club be represented by n. The school also donated 3 pies to sell.

So that,

Total number of pies = n + 3

Given that there was 64 pieces of pies to sell after cutting each pie into 8 pieces.

Thus,

8( n + 3) = 64

8n + 24 = 64

8n = 64 - 24

8n = 40

Divide both sides by 8 to have,

n = 5

The number of pies purchased by booster club is 5.