How do I write an equation for this relationship (where y represents the number of blocks and x represents the stage number).

Answer:

its 9 only

Step-by-step explanation:

cuz the formula of area of square is side²

Answer:

Yeah it's 9. Bcs the area of the square is *side × side*

Answer: x=5 (simplified)

Answer:

4x-3=2x+7

4x-2x=7+3

2x=10

2x/2x=10/2

x=5

Answer:

Diameter = 14 yd

Step-by-step explanation:

Given:

Area of semicircle = 76.97 yd²

Required:

Diameter of semicircle

Solution:

Area of a semicircle = ½(πr²)

Area = 76.97 yd²

Plug in the values

Thus:

½(π*r²) = 76.97

Multiply both sides by 2

πr² = 2*76.97

πr² = 153.94

Divide both sides by π

r² = 153.94/π

r² = 49.0

Take the square root of both sides

r = √49.0

r = 7 yd

Diameter = 2(r)

Diameter = 2(7) = 14 yd

Step-by-step explanation:

f(x) = 2x²+8x+10

vertex point :

x = -8/2(2)= -8/4

=> x = -2 <= this is a symetry axis

f(-2)= 2(-2)²+8(-2)+10=8-16+10=2

the vertex point : (-2, 2)

intercept with y-axis :

f(0) = 0+0+10 = 10

the point : (0, 10)

the drawing as attached

X coordinate of vertex

y coordinate

Vertex is at (-2,2)

Put x=0

Graph attached

Step-by-step explanation:

1. you must first find the value of y

[tex]6y + 12 = 30 \\ 6y = 30 - 12 \\ 6y = 18 \\ y = 3 \\ 23 + 7 - 5y \\ 23 + 7 - 5(3) = 15[/tex]

Answer: We can use the information given to find the number of stars in the universe by multiplying the number of galaxies by the number of stars per galaxy:

number of stars = (10 ^ 11 galaxies) x (10 ^ 11 stars per galaxy)

This is a simple arithmetic problem and we can find the solution by multiplying the numbers 10^11 and 10^11

10^11 * 10^11 = (10101010101010101010)(101010101010101010*10) = 10^(11+11) = 10^22

So, there are estimated to be 10 ^ 22 stars in the known universe.

Step-by-step explanation:

It would take 116.18 seconds for the space stations that are 7100 km apart at speed of 110000 km to meet

An equation is an expression that shows the relationship between two or more numbers.

The speed of an object is the ratio of the total distance travelled to the total time taken. It is given by:

Speed = distance / time

Distance = Speed * time

The spaceships are moving at 110000 km/h

The distance covered by each in x hours is:

Distance = 110000 * x = 110000x

Since they are 7100 km apart, hence:

110000x + 110000x = 7100

220000x = 7100

x = 0.03227 hours = 116.18 seconds

It would take 116.18 seconds for the spaceships to meet.

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Answer:

A) I’m 100% sure it’s correct!

Step-by-step explanation:

Answer:

A. 7

Step-by-step explanation:

[tex]82 - 75 \\ = 7[/tex]

Answer:

x1=3+√3

x2=3-√3

Step-by-step explanation:

caiso calculator

mode 5 --> 3

then

1 = -6 =6

then hit =

you will get

x1=3+√3

x2=3-√3++99+

Answer:

the answer is B.450 +15x

Answer:

B

Step-by-step explanation:

Answer:

y = 3x + 9

Step-by-step explanation:

The initial equation would be y = mx + b where m is the slope and b is the y-intercept. Then you would use the equation y^2 - y^1 / x^2 - x^1 to get the slope. Substituting the factors in it would be, 15 - 12 / 2 - 1 having a slope of 3. Then seeing as x is 0 y is 9, 9 must be the y-intercept.

Answer:

A

Step-by-step explanation:

Ben uses clay to make the rectangular prism to the left. Naomi uses cardboard to make the triangular prism to the right. Therefore, Naomi's prism has a greater volume.

The volume of the rectangular prism is the product of the length, breadth, and height of the given prism.

Volume of rectangular prism = (length x width x height)

Ben uses clay to make the rectangular prism to the left.

Volume of rectangular prism = (length x width x height)

= 11 x 5 x 2

= 110 cubic in

Naomi uses cardboard to make the triangular prism to the right.

The volume of a right triangular prism = ( height× Base Area)

= 4 x 18 x 4

= 288 cubic in

Therefore, Naomi's prism has a greater volume.

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Answer:

The length is 15 inches squared

Step-by-step explanation:

total area / height = length

120 / 8 = 15

If the height of a right triangular prism is 1⁵/₆ inches. The surface area of the solid formed is 598.33 in².

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

A three-dimensional solid form with six faces, including rectangular bases, is called a rectangular prism. A rectangular prism also refers to a cuboid. A cuboid and a rectangular prism have the same cross-section.

First step:-

Right triangular prism=1⁵/₆ inches= 11/6 inches

Height of the base=8²/₃ inches = 26/3 inches

Second step:-

Surface area = 5(10× 10) + (0.5÷ 10 × 26/3) + 3(10× 11/6)

Surface area = 5(100) +43.33+ 3(18.33)

Surface area = 500) +43.33 + 55

Surface area = 598.33 in²

Therefore the surface area of the solid formed is about 598.33 in²

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Answer:

It will take them 8 hours to meet

Step-by-step explanation:

If Hanna travels 22 mph towards Jamie and Jamie travels 14 mph towards Hanna that means that the speed with which the close up equals...

22 + 14 = 36 mph

Now divide the distance between them by the speed with which they get closer to each other, and get...

288 miles / 36 mph = 8h

Answer:

D. 1.28 per decade

Step-by-step explanation:

I calculated it logically

Answer:

Mode

Step-by-step explanation:

If you have an outlier, the best way to measure a set of data is the mode, or the number that occurs the most.

Answer:

Using the Quadratic Formula

x=-b ± √b²-4ac/[2a]

x= -(-5) ± √5² - 4(1)(5)/(2)

x= 5 ± √25-20 /(2)

x= 5 ± √5 /(2)

x= 5 + √5/(2) and 5 - √5/(2)

Answer

B and C

Answer: Option 2

Step-by-step explanation:

[tex]-7(3x-7)+21x \geq 50\\\\-21x+49+21x \geq 50 \\\\49\geq 50[/tex]

This is false, so there are no solutions.

Answer:

You are correct. The answer is the blue point marked

Step-by-step explanation:

Answer: To solve the quadratic equation 8x^2 + 16x + 3 = 0, Patel could use the following steps:

Divide both sides of the equation by 8 to obtain x^2 + 2x + 3/8 = 0.

Rewrite the equation in the form (x + a)^2 = b by completing the square: x^2 + 2x + (1/2)^2 = (1/2)^2 - (3/8).

Rewrite the equation as (x + a)^2 - b = 0. In this case, a = 1/2 and b = -3/8.

Use the quadratic formula to solve for x:

x = (-1/2) +/- sqrt((1/2)^2 - (-3/8))

= (-1/2) +/- sqrt(5/8)

= (-1/2) +/- sqrt(40/64)

= (-1/2) +/- sqrt(10/16)

= (-1/2) +/- (5/8)

= -1 +/- 5/8

= -1 + 5/8 or -1 - 5/8

= -7/8 or 1/8

Therefore, the solutions to the quadratic equation are x = -7/8 or x = 1/8.

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. If there are 4 apples, each apple has 4 fourths x 4 apples =16 fourths

2. Something is missing???

3. 6/4 x 5/5=30/20, 15/10 x 2/2=30/20 so both are same length

Therefore , the solution of the given problem of solution of trigonometry d = 33.977 m is the distance from the balloon's base to its apex..

Trigonometry is a discipline of mathematics that examines relationships between triangles' degrees and sides. Trigonometry is used frequently in geometry because every straight-sided form may be broken down into a group of triangles. Trigonometry and other areas of mathematics, particularly calculus, real or complex, infinite series, logarithms, and infinite series, have a staggering amount of interrelationships.

Here,

Angle of elevation to the balloon's peak: = 28°

When the balloon is erect, a right triangle is formed by the horizontal distance to the balloon, l, the height of the balloon, h, and the distance to the top of the balloon, d.

Aside from the hypotenuse

l = The leg next to the provided reference angle

,h = The leg perpendicular to the specified angle,

Trigonometric ratios give us;

Cosx is equal to the product of the hypotenuse and adjacent lengths.

where we obtain;

Cos x equals l/d

=>Cos 28 = 30 m /d

=> d = 30m/Cos 28 ≈ 33.977

Therefore , the solution of the given problem of solution of trigonometry d = 33.977 m is the distance from the balloon's base to its apex.

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Answer:

radius: 9

center: (-6, -8)

Step-by-step explanation:

First, you may wan to rearrange the equation so it is easier to sole, like:

x^2 + 12x + y^2 + 16y + 19 =0

Next, we need to complete the square. x^2 + 12x is the start of the square of x + 6, which ends in 36, and y^2 + 16y is the start of the square of x + 8, which ends in 64. We can start to write in the squares like:

x^2 + 12x + 36 - 36 + y^2 + 16y + 64 - 64 + 19 = 0

(36 & 64 are subtracted so the equation stays the same)

You can factor getting:

(x + 6)^2 - 36 + (y + 8)^2 - 64 + 19 = 0

You can combine the constants to get -36 - 64 + 19 = -81 and we can add 81 to both sides to get:

(x + 6)^2 + (y + 8)^2 = 81

The standard form of a circle equation is:

(x - h)^2 + (y - k)^2 = r^2

where (h, k) is the center and r is the radius.

In this case, by substituting, we get the center is (-6, -8) and the radius is 9.

Answer:

a. Their down payment is 25% of the purchase price.

Calculation:

Down payment ÷ Purchase price = Percentage

$35,000 ÷ $140,000 = 0.25 = 25%

b. A $7,000 down payment would be 5% of the purchase price.

Calculation:

Down payment ÷ Purchase price = Percentage

$7,000 ÷ $140,000 = 0.05 = 5%