Write 4,000,000 in scientific notation.

Answer:

what's the question? I don't know

The pay in total will be:

since 3 cost $17then 6 will cost 2(17)=$34

then we apply the coupon for 25% off, obtainning 34-0.25(34)=$25.5

now we add the taxes, 25.5+0.06(25.5)=$27.03

To solve this problem, we need to use the theorem which states that the sum of angles in a triangle is equal to 180 degrees. The value of m<FED is equal to 120 degrees. From the diagram given, m<CBD is complimentary with m<BED

The value of m<FED can be calculated by summing the entire entity and equating to 180 degrees.

Data;

\(35+(16x-8)+(2x+9) = 180\)

Reason: The sum of angles in a triangle is equal to 180 degrees.

But we would need to solve for the value of x.

\(35+(16x-8)+(2x+9) = 180\\35 + 16x - 8 + 2x + 9 = 180\\36+ 18x = 180\\180 - 36 = 18x\\18x = 144\\x = \frac{144}{18} \\x = 8\)

Let's substitute the value of x into m<FED

\(m < FED = 16x - 8\\x = 8\\m < FED = 16(8) - 8 \\m < FED = 128 - 8\\m < FED = 120^0\)

The value of m<FED is equal to 120 degrees.

From the diagram given, m<CBD is complimentary with m<BED

Learn more on sum of angles in a triangle here;

https://brainly.com/question/20377858

#SPJ1

Answer:

A= 180-41=  

A= 139 degrees

B= 180-41

B = 139 degrees

Step-by-step explanation:

On a straight line its 180 degrees

A is separating a straight line with a 41-degree angle so.  

A= 180-41  

A= 139 degrees

B is also separating a straight line with a 41-degree angle so.

B= 180-41

B = 139 degrees

Answer:

Hi

Please mark brainliest

Answer :

34.56

I hope it helps

Upon graphing of the function rule h = 8 - 0.4j, we see that the graph is continuous.

We are given the function as; h = 8 - 0.4j

Let h represent the height in inches on the y-axis and let j represent the amount of juice in ounces on the x-axis.

We are told that the height of the juice in a 20-oz bottle depends on the amount of juice. This means that j is an independent variable and h is dependent variable.

The function  represents the height of juice after drinking j ounces of juice. Therefore as the juice is being drank, the height of the juice in bottle will change continuously. Therefore, the graph of our given function will be continuous because we can drink fractions of an ounce juice.

The equation of a line in slope-intercept form is given as;

y = mx + b

where;

m is Slope of line

b is y-intercept

If we rewrite our function slope-intercept form of equation, we will get;

h = -0.4j + 8

Thus;

Slope = -0.3

y-intercept = 8.

The graph is as plotted in the attached file

Read more about Linear Function Graph at; https://brainly.com/question/4025726

#SPJ1

Answer:

360°

Step-by-step explanation:

The sum of the exterior angles of any n-gon is 360°

Answer:cooks a burger

Step-by-step explanation: eat the burger

Answer:

A = 22.62°

B = 67.38°

c = 26

Step-by-step explanation:

\(a^2+b^2=c^2\\10^2+24^2=c^2\\100+576=c^2\\676=c^2\\26=c\)

\(\sin A=\frac{\text{Opposite}}{\text{Hypotenuse}}=\frac{10}{26}\\\\A=\sin^{-1}(\frac{10}{26})\\\\A\approx22.62^\circ\)<-- You can also use other trig ratios

\(B=180^\circ-(90^\circ+22.62^\circ)=180^\circ-112.62^\circ=67.38^\circ\)

There's no specific order in how to solve for A and B, so there may be more than one way to approach these solutions.

The expanded form of 12³ is given as follows:

12³ = 12 x 12 x 12 = 1728 cubic feet.

The volume of a cube of side length a is given by the cube of the side length, as follows:

V(a) = a³.

This expression is equivalent to multiplying the side length of the object by itself twice, as follows:

V(a) = a x a x a.

The side length for this problem is given as follows:

a = 12 feet.

Hence the volume of the cube is given as follows:

V = 12³ = 1728 feet³.

More can be learned about the volume of a cube at https://brainly.com/question/1972490

#SPJ1

The volume of the cylindrical shaped pool with water is V = 75.4 feet³

Given data ,

Let the diameter of the pool be d = 8 feet

So , radius r = 4 feet

And , the height of the cylindrical pool is h = 3 feet

Now , the water is half full

So , Volume of Cylindrical pool is V = ( 1/2 ) πr²h

V = ( 1/2 ) ( 3.14 ) ( 4 )² ( 3 )

On simplifying , we get

V = 75.4 feet³

Hence , the amount of water in pool is V = 75.4 feet³

To learn more about cylinder click :

https://brainly.com/question/16134180

#SPJ1

The allusion in this statement is "Sasquatch," referencing a legendary creature known for its large size and used humorously to imply the person's abnormally large shoe size.

The allusion in the given statement is "Sasquatch." Sasquatch, also known as Bigfoot, is a legendary creature often depicted as a large, hairy, and elusive humanoid. In this context, the reference to Sasquatch is used metaphorically to humorously imply that the person's shoe size is abnormally large.

The mention of Sasquatch adds a playful and exaggerated tone to the conversation about shopping for shoes. It serves as a lighthearted way for the dad to comment on the frequency of buying new shoes, suggesting that the person's feet grow rapidly or that they have a high shoe consumption rate.

for such more question on Sasquatch

https://brainly.com/question/26866234

#SPJ11

Answer: 4)

Step-by-step explanation:

f(4) = -14

g(4) = 10

g(-2) = 4

f(2) = -8

f(-2) = 4

The correct statement is 4) f(-2) = g(-2)

Or by inspection, we can see that the graph f(x) intersects g(x) at x = -2 and    y = 4. So, f(-2) = g(-2) = 4 is true

Answer:2

Step-by-step explanation:

Answer:

2/5 or 0.4

Step-by-step explanation:

Answer:

  745

Step-by-step explanation:

You want the original number of books in the library if adding 298 children's books increased the fraction of children's books from 2/5 to 4/7.

We often like to work problems like this in terms of "ratio units." Here, we'll let x represent the number of books in a ratio unit. This means the number of children's books is originally 2x, and the total number of books is originally 5x. Then we have ...

  (2x +298)/(5x +298) = 4//7

Cross multiplying gives ...

  7(2x +298) = 4(5x +298)

  3(298) = 6x . . . . . . . . . . . . . subtract (14x+4(298))

  149 = x

  745 = 5x . . . . . . the original number of books in the library

There were 745 books in the library at first.

__

Additional comment

If we let x represent the original number of library books, then the arithmetic involves more fractions. You would have an equation like ...

  2/5x +298 = 4/7(x +298)

<95141404393>

The coordinates of the vertices of trapezoid J'K'L'M' with its graph include the following:

J' (-3, 0).

K' (-3, -3).

L' (-8, 6).

M' (-8, 1).

In Mathematics and Geometry, the rotation of a point 90° about the center (origin) in a clockwise direction would produce a point that has these coordinates (y, -x).

By applying a rotation of 90° clockwise to the vertices of trapezoid JKLM, the coordinates of the vertices of the image are as follows:

(x, y)               →                ((y - b) + a, -(x - a) + b)

J (2, 1)           →     ((1 - 3) - 1, -(2 + 1) + 3) = (-2 - 1, -3 + 3) = J' (-3, 0).

K (5, 1)           →     ((1 - 3) - 1, -(5 + 1) + 3) = (-2 - 1, -6 + 3) = K' (-3, -3).

L (8, -4)           →     ((-4 - 3) - 1, -(8 + 1) + 3) = (-7 - 1, -9 + 3) = L' (-8, 6).

M (1, -4)           →     ((-4 - 3) - 1, -(1 + 1) + 3) = (-7 - 1, -2 + 3) = M' (-8, 1).

Read more on rotation here: brainly.com/question/28854313

#SPJ1

Answer:

3 and 9

Step-by-step explanation:

let Peter's age be x then James is x + 6

The average of their ages is twice Peter's age, that is

\(\frac{x+x+6}{2}\) = 2x

\(\frac{2x+6}{2}\) = 2x

x + 3 = 2x ( subtract x from both sides )

3 = x

Then Peter is 3 years old and James is x + 6 = 3 + 6 = 9 years old

Answer: The domain of a function is the set of all input values (x-values) for which the function produces a valid output value (y-value).

For the function y = 3^√x, the input value x can't be negative because the value under the square root should be non-negative and 3^√x is defined for all x in the domain of real numbers. This means that the domain of the function y = 3^√x is (-∞,∞).

Step-by-step explanation:

The domain of the function is  [0, ∞).

A function has an input and an output.

A function can be one-to-one or onto-one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The function y = 3^√x has a base of 3, which means that the output of the function is always a positive number.

For the function to be defined, the input x must also be a positive number or zero, as the square root of a negative number is not a real number.

Therefore,

The domain of the function is all non-negative real numbers, or [0, ∞).

In interval notation, the domain can be written as [0, ∞).

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ5

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{3 {i}^{2} + 6i}}}}}\)

Step-by-step explanation:

\( \sf{(2 + i)(i + 2i)}\)

Use the distribute property to multiply each term of the first binomial by each term of the second binomial.

⇒\( \sf{2(i + 2i) + i(i + 2i)}\)

⇒\( \sf{2i + 4i + {i}^{2} + 2 {i}^{2} }\)

Collect like terms

⇒\( \sf{3 {i}^{2} + 6i}\)

Hope I helped!

Best regards!

Answer:

37.26

Step-by-step explanation:

To solve this all you have to do is substitute 8.1 for r! That gives you the equation of 8.1*4.6, which equals 37.26!

We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour.

Sample Mean: = (29 + 27 + 34 + 40 + 22 + 28 + 14 + 35 + 26 + 35 + 12 + 30 + 23 + 18 + 11 + 22 + 23 + 33) / 18

= 480 / 18

≈ 26.667

Sample Standard Deviation (s):

= ✓((Σ(29 - 26.667)² + (27 - 26.667)² + ... + (33 - 26.667)²) / (18 - 1))

≈ ✓(319.778 / 17)

≈ ✓(18.81)

≈ 4.336

Confidence level = 99%

Sample Size (n) = 18

Sample Mean = 26.667

Sample Standard Deviation (s) = 4.336

Degrees of Freedom (df) = n - 1 = 18 - 1 = 17

Using a t-table or statistical software, we find that the critical value for a 99% confidence level with 17 degrees of freedom is approximately 2.898.

Margin of Error (E) = 2.898 * (4.336 / ✓18))

≈ 3.748

Confidence Interval = (26.667 - 3.748, 26.667 + 3.748)

= (22.919, 30.415)

We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour. This means that if we were to repeat the study multiple times and construct confidence intervals, approximately 99% of those intervals would contain the true mean healing rate of the population.

Learn more about confidence interval on

https://brainly.com/question/15712887

#SPJ1

The incircle centered at point P has a radius of 7 units.

Here given that,

PA = 12 units.

PZ = 7 units

The complete question is :

"Point P is the incenter of triangle ABC, PZ = 7 units, and PA = 12 units.

The radius of the incircle centered at point P is ? units."

To learn more about incenter radius refer to :

https://brainly.com/question/1511303

#SPJ1

Answer:

32/68

Step-by-step explanation:

32+36 = 68

therefore the answer is

32 upon the whole total 68

32/68

hope this helps

pls mark brainliest!

Answer:

8:9

8/9

8 to 9

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 32 and 36 is 4

Divide both the numerator and denominator by the GCD

\(\frac{32 / 4}{36 / 4}\)

= \(\frac{8}{9}\)

Therefore, 32/36 simplified to lowest terms is 8/9 or 8:9 or 8 to 9

[RevyBreeze]

The times the 7 in the Susan's scores is greater than Sarah's score is 100 times

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

Susan = 87, 325

Sarah = 46, 175

The values of the 7's in their scores are

Susan = 7, 000

Sarah = 70

So, we have

Number of times = 7000/70

Evaluate

Number of times = 100

Hence, the number of times is 100

Read more about fractions at

https://brainly.com/question/17220365

#SPJ1

The length of the side of the square is given as follows:

20 cm.

In the figure, there are two expressions used to give the side length to each square, as follows:

In a square, all the four side lengths have the same length, hence the value of x is obtained as follows:

6x - 1 = 4x + 6

2x = 7

x = 3.5 cm.

Then the side length of the square is obtained as follows:

6(3.5) - 1 = 20 cm.

More can be learned about the side length of a square at https://brainly.com/question/24487155

#SPJ1

Check the picture below.

\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{2}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{7})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(~~5 - 2~~)^2 + (~~7 - 1~~)^2} \implies d=\sqrt{( 3 )^2 + ( 6 )^2} \\\\\\ d=\sqrt{ 9 + 36 } \implies d=\sqrt{ 45 }\implies d\approx 6.7\)

The value of \((f+g)(1)\) is 3.

In this question we must apply the definition of addition between functions, whose operation is described below:

\((f+g) (x) = f(x) + g(x)\) (1)

\((x, (f+g)(x)) = (x, f(x))+(x, g(x))\) (1b)

If we know that \((x, f(x) ) = (1,1)\) and \((x,g(x)) = (1,2)\), then the result of the operation is:

\((1, (f+g) (1)) = (1, 3)\)

The value of \((f+g)(1)\) is 3.

We kindly invite to check this question on functions: https://brainly.com/question/12431044

The equation of the line perpendicular to y=1/2x-1 and passing through the point (5,6) is y = -2x + 16.

To find the equation of the line perpendicular to y=1/2x-1, we need to determine its slope. We can recall that the slope of a line in slope-intercept form, y = mx + b, is given by m, the coefficient of x. So in the given equation y=1/2x-1, the slope is 1/2.

The slope of a line perpendicular to this line will be the negative reciprocal of the slope, which means it will be -2. To see why this is true, remember that the product of the slopes of two perpendicular lines is always -1. So if the slope of the original line is m, the slope of the perpendicular line will be -1/m.

Now that we know the slope of the perpendicular line is -2, we can use the point-slope form of the equation of a line to find its equation. The point-slope form is:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is a point on the line.

We are given a point on the perpendicular line, (5, 6), so we can substitute that into the equation and also substitute in the slope, -2:

y - 6 = -2(x - 5)

y - 6 = -2x + 10

y = -2x + 16

Hence, the equation of the line perpendicular to y=1/2x-1 and passing through the point (5,6) is y = -2x + 16.

To learn more about Line of Perpendicular and Slope of a line, refer to the following answers:

https://brainly.com/question/25842670

https://brainly.com/question/30422569

Answer:

a) 15yd

b)2.45ft

Step-by-step explanation:

P = perimeter, l=length and w = width of the rectangle

P = 2l+2w

a) 40 = 2l+2(5)

40 = 2l+10

30=2l

15=l

b) 18.4 = 2(6.75) + 2w

18.4 = 13.5+2w

4.9=2w

2.45=w