Translate the following sentence into an equation: Four times a number, plus six, is equal to 30
fasst

Answer:

Step-by-step explanation:

Answer:

y-intercept(0, -9)

Step-by-step explanation:

Answer: 19.101 miles north

Step-by-step explanation:

Now were given an right angled trinagle with the with the 2nd angle being 23 degrees and given a triangle leg length of 45 miles which is adjcent to the angle and were trying to find how find out how far north it went meaning were trying to find how far up it went thus trying to find the side opposite of the angle.

So now we know our facts we need a trig function which uses both the adjacent and opposites sides, that would be tangent.

The radius of curvature of the curve \(a^{2y\)=x³-a³ at the point where the curve intersects the x-axis is 27\(a^{\frac{3}{2}\).

To find the radius of curvature of the curve \(a^{2y\)=x³-a³ at the point where the curve intersects the x-axis, we need to first find the equation of the curve and then determine the value of y and its derivative at that point.

When the curve intersects the x-axis, y=0. Therefore, we have:

a⁰ = x³ - a³

x³ = a³

x = a

Next, we need to find the derivative of y with respect to x:

dy/dx = -2x/(3a²√(x³-a³))

At the point where x=a and y=0, we have:

dy/dx = -2a/(3a²√(a³-a³)) = 0

Therefore, the radius of curvature is given by:

R = (1/|d²y/dx²|) = (1/|d/dx(dy/dx)|)

To find d/dx(dy/dx), we need to differentiate the expression for dy/dx with respect to x:

d/dx(dy/dx) = -2/(3a²(x³-a³\()^{\frac{3}{2}\)) + 4x²/(9a⁴(x³-a³\()^{\frac{1}{2}\))

At x=a, we have:

d/dx(dy/dx) = -2/(3a²(a³-a³\()^{\frac{3}{2}\)) + 4a²/(9a⁴(a³-a³\()^{\frac{1}{2}\)) = -2/27a³

Therefore, the radius of curvature is:

R = (1/|-2/27a³|) = 27\(a^{\frac{3}{2}\)

To learn more about radius of curvature click on,

https://brainly.com/question/31403088

#SPJ1

Answer:

10×10=100

The grid has 100 squares

75 squares are shaded blue

so that is 75 out of 100 or 75/100

which 75/100 = 0.75 which equals 75%

Step-by-step explanation:

The answer is choice 4 which is 75%

Answer:

D

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

x = 4

because 5x + 20 = 5(x + 4)

Answer:

x = 14

Step-by-step explanation:

x = 14

Answer:

4747

Step-by-step explanation:

Answer:

Dilation

Step-by-step explanation:

Given: The first triangle has side lengths of 6, 10, 8 and the second triangle has side lengths of 3, 5, 4 such that these two right triangles have identical angle measures but different side lengths.

To choose: the correct option

Dilation refers to a transformation when a figure is reduced or enlarged.

Each side of the large triangle is halved to get the small triangle.

So, Dilation transformation maps the large triangle onto the small triangle

The transformation is because the Dilation.

The geometric transformation is a bijection of a set that has a geometric structure by itself or another set.

Given that the first triangle has side lengths of 6, 10, 8 and the second triangle has side lengths of 3, 5, 4 such that these two right triangles have identical angle measures but different side lengths.

So, we need to identify the type of transformation.

We see that the measures of the sides are decreased by a scale factor of 2.

So we can say there is a dilation,

Dilation refers to a transformation when a figure is reduced or enlarged.

Each side of the large triangle is halved to get the small triangle.

So, Dilation transformation maps the large triangle onto the small triangle.

Hence the correct option is Dilation.

Learn more about transformation click;

https://brainly.com/question/11709244

#SPJ2

Answer:

correct is A, D, and E

hope it help! please make me a brainliest!

Answer:

A.) Mostly made of gas

D.) They have rings

E.) They have thick atmospheres

Step-by-step explanation:

Answer:

10 feet

Step-by-step explanation:

Answer:

The answer toy our problem is, The maximum number of days by which the completion of work can be delayed is 15.

Step-by-step explanation:

We are given that the penalty amount paid by the construction company from the first day as sequence, 4000, 5000, 6000, ‘ and so on ‘. The company can pay 165000 as penalty for this delay at maximum that is

 \(S_{n}\)​ = 165000.

Let us find the amount as arithmetic series as follows:

4000 + 5000 + 6000

The arithmetic series being, first term is \(a_{1}\) = 4000, second term is \(a_{2}\) = 5000.

We would have to find our common difference ‘ d ‘ by subtracting the first term from the second term as shown below:

\(d = a_{2} - a_{1} = 5000 - 4000 = 1000\)

The sum of the arithmetic series with our first term ‘ a ‘ which the common difference being, \(S_{n} = \frac{n}{2} [ 2a + ( n - 1 )d ]\) ( ‘ d ‘ being the difference. )

Next we can substitute a = 4000, d = 1000 and \(S_{n}\) = 165000 in “ \(S_{n} = \frac{n}{2} [ 2a + ( n - 1 )d ]\) “ which can be represented as:

Determining, \(S_{n} = \frac{n}{2} [ 2a + ( n - 1 )d ]\)

⇒ 165000 = \(\frac{n}{2}\) [( 2 x 4000 ) + ( n - 1 ) 1000 ]

⇒ 2 x 165000 = n(8000 + 1000n - 1000 )

⇒ 330000 = n(7000 + 1000n)

⇒ 330000 = 7000n + \(1000n^2\)

⇒ \(1000n^2\) + 7000n - 330000 = 0

⇒ \(1000n^2\) ( \(n^2\) + 7n - 330 ) = 0

⇒  \(n^2\) + 7n - 330 = 0

⇒ \(n^2\) + 22n - 15n - 330 = 0

⇒ n( n + 22 ) - 15 ( n + 22 ) = 0

⇒ ( n + 22 )( n - 15 ) = 0

⇒ n = -22, n = 15

We need to ‘ forget ‘ the negative value of ‘ n ‘ which will represent number of days delayed, therefore, we get n=15.

Thus the answer to your problem is, The maximum number of days by which the completion of work can be delayed is 15.

Answer:

1) x < 30

2) x > 20

3) x >= 250

4) x > 20

5-10) I cant see the numbers on the graph

Step-by-step explanation:

Answer:

For the graphs you have to basically make those words into a mathematical equation to make more sense like for the first problem in which..

x>30

remember, open circles mean that its it can't be greater for symbols like < and >

closed circles are for inequalities that are greater than or equal to or less than or equal to which are these symbols: ≤ and ≥

Answer:

P= 112,490.26207887

P= 112,490 (it should be a whole number for oliy represents the number of humans)

Step-by-step explanation:

1,240,000 = P e^(0.08×30)

1,240,000 = P e^(0.08×30)

________ ____________

e^(0.08×30) e^(0.08×30)

P = 112,490.26207887

or

1,240,000 = P e^(0.08×30)

____________ ____________

11.0231763806 11.0231763806

P = 112,490.26207887

Answer:

x=18

Step-by-step explanation:

This two angles are complementary, which means that they both add up to 90. So we could set up the equation:

(4x+1)+(x-1)=90

5x=90

x=\(\frac{90}{5}\)

x=18

Have a nice day! :)

Answer:

y = 4x - 33     Brainlist me!

Step-by-step explanation:

To write an equation of the line in point-slope form that passes through the point (7, -5) and has a slope of m = 4, you can use the point-slope formula:

y - y1 = m(x - x1)

In this formula, (x1, y1) is a point on the line, and m is the slope of the line.

Substituting the given values into the formula, we get:

y - (-5) = 4(x - 7)

y + 5 = 4x - 28

y = 4x - 33

Therefore, the equation of the line in point-slope form is:

y = 4x - 33

Answer:

The equation of the line in point-slope form that passes through the point (7, -5) and has a slope of m = 4 is: y - (-5) = 4(x - 7)

Simplifying this equation gives us: y + 5 = 4x - 28

Thus, the final equation is: y = 4x - 33

Step-by-step explanation:

Answer:

I think its C

Step-by-step explanation:

Answer:

68%

Step-by-step explanation:

We start by calculating the z-scores of both

z-score = (x-mean)/SD

for 2.21

z-score = (2.21-2.61)/0.4 = -1

For 3.01

z-score = (3.01-2.61)/0.4 = 0.4/0.4 = 1

So what we want to find is the percentage between -1 SD and 1 SD of the mean

This is the percentage corresponding to the probability

P(-1 < x < 1)

According to the empirical rule, this is a value of;

68.269%

Answer is \(2\sqrt{2}\) mi

Given,

Kaylib’s eye-level height is 48 ft

Addison’s eye-level height is 85 and one-third ft above sea level.

From the formula d= \(\sqrt{3h/2}\),

get the difference as:

\(d=\sqrt{(3*(85+1/3))/2} - \sqrt{(3*48)/2}\)

=\(\sqrt{256/2} - \sqrt{3*24}\)

=\(\sqrt{128} - 6\sqrt{2}\)

=\(8\sqrt{2} - 6\sqrt{2}\)

d=\(2\sqrt{2}\)

Therefore, Addison sees \(2\sqrt{2}\)mi to the horizon

To know more about Height from sea level questions

https://brainly.com/question/10255119

Answer:

Step-by-step explanation:

Answer:

y = - 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 )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 4, 1 ) and (x₂, y₂ ) = (- 3, 0 )

m = \(\frac{0-1}{-3-(-4)}\) = \(\frac{-1}{-3+4}\) = \(\frac{-1}{1}\) = - 1 , then

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (- 3, 0 )

0 = - 1(- 3) + c = 3 + c ( subtract 3 from both sides )

- 3 = c

y = - x - 3 ← equation of line

The amount in the account after 4 years, rounded to the nearest cent, will be approximately $17,332.8.

Recall the compounding formula:

A = P * \(e^{rt}\)

Where:

A = Final amount in the account

P = Initial principal (deposit)

e = Euler's number (approximately 2.71828)

r = Annual interest rate (as a decimal)

t = Time in years

Given:

Initial principal (P) = $16,000

Annual interest rate (r) = 2%  = 0.02

time (t) = 4 years.

Substitute these values into the formula, we get:

A = $16,000 * \(e^{0.02 * 4}\)

Using a calculator, we can calculate:

A = $16,000 * \(e^{0.08}\)

A = $16,000 * 1.0833

A = $17,332.8

Therefore, the amount in the account after 4 years, rounded to the nearest cent, will be approximately $17,332.8.

Learn more about compound interest here:

https://brainly.com/question/28020457

#SPJ1

Answer: 1134.11

A=3.14*r^2

Step-by-step explanation:

Answer:

a ≈ 1134.11 cm2

Step-by-step explanation:

The formula:

\(a=\pi r^{2}\)

\(a=\pi (19)^{2} =361\pi\)

\(a=1134.11cm^{2}\)

Hope this helps

Answer:

Rider 1 does one round in 15 min, and will complete another in each consecutive multiple of 15 min

Rider 2 does one round in 18 min, and will complete another in each consecutive multiple of 18 min

Assuming that they start together, they will complete another round together in a time that is both multiples of 15min and 18 min.

Then we need to find the smallest common multiple between 15 and 18.

To smallest common multiple between two numbers, a and b, is equal to:

a*b/(greatest common factor between a and b).

Now, the greatest common factor between 15 and 18 can be found if we write those numbers as a product of prime numbers, such as:

15 = 3*5

18 = 2*3*3

The greatest common factor is 3.

Then the smallest common multiple will be:

(15*18)/3 = 90

This means that after 90 mins, they will meet again at the starting place.

Answer: A) 0

P(A and B) = 0 when events A and B are disjoint, aka mutually exclusive.

We say that two events are mutually exclusive if they cannot happen at the same time. An example would be flipping a coin to have it land on heads and tails at the same time.

Answer:

x + 2

Step-by-step explanation:

Area = x² + 11x + 18

length = x + 9

width = ?

Area = length x width

Factor the polynomial x² + 11x + 18:

length x width = (x + 9)(x + 2) = x² + 11x + 18

The length is x + 9, therefore the width is x + 2

Answer: 56.52mm

Step-by-step explanation:

First, you have to find the circumference of the wheel and divide it by 25 since the spokes are equally spaced.

The equation for the circumference of a circle is:

C = 2πr

C = 2 x π x 225

C = 1413

Then, you divide it by 25

1413/25 = 56.52

Answer:

The farmer needs to increase production, since the current rate is 2 quarts per minute.

Step-by-step explanation:

Just took the lil quiz

Using the distance formula, the length of segment PQ is:

C. √68 units

The distance formula is given as:

d = \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\).

Segment PQ has the following endpoints:

P(-2, 3)

Q(6, 1)

To find the length of segment PQ using the distance formula, we can apply the formula, where:

\((x_1, y_1)\)are the coordinates of point P

\((x_2, y_2)\) are the coordinates of point Q.

Given:

P(-2, 3) = \((x_1, y_1)\)

Q(6, 1) = \((x_2, y_2)\)

Let's substitute the values into the formula:

PQ = √[(6 - (-2))² + (1 - 3)²]

PQ = √[(8)² + (-2)²)

PQ = √(64 + 4)

length of segment PQ = √68 units

Learn more about length of segment on:

https://brainly.com/question/24778489

#SPJ1

Answer:

multiply 12*7

Step-by-step explanation:

Answer:

84 m²

Step-by-step explanation:

12 times 7 (for a rectangle)

Answer:

The function has one real zero and two nonreal zeros. The graph of the function intersects the x-axis at exactly one

location.