Write 0.0000000642 in scientific notation.

Answer:

x=−4/5 or x=−3

Step-by-step explanation:

Step 1: Factor left side of equation.

(5x+4)(x+3)=0

Step 2: Set factors equal to 0.

5x+4=0 or x+3=0

x=−4/5 or x=−3

Answer:

Step-by-step explanation:

Answer:

20/6

Step-by-step explanation:

16/6 is 2 4/6

6/6 is 1

3 is well 3

and 20/6 is 3 1/2

Answer: Perimeter of given square:40,Area of given square:100

Perimeter of Dilated square:200

Area of Dilated square: 2500

Step-by-step explanation:

Answer:

di ako sure pero ito :)

Step-by-step explanation:

A line segment has two endpoints. It contains these endpoints and all the points of the line between them. You can measure the length of a segment, but not of a line.

A segment is named by its two endpoints, for example, AB¯¯¯¯¯ .

Louis used a total amount 7/8 cup of milk to make both pancakes and muffins. He used 3/8 cup for pancakes and 4/8 cup for muffins.

3/8 cup of milk = 0.375 cups

4/8 cup of milk = 0.5 cups

Total milk used = 0.375 cups + 0.5 cups

Total milk used = 0.875 cups

Remaining milk = 1 cup - 0.875 cups

Remaining milk = 0.125 cups

Louis had 1 cup of milk to make both pancakes and muffins. To do this, he needed to use 3/8 cup of milk for the pancakes and 4/8 cup of milk for the muffins. This means that he used a total of 7/8 cup of milk. By using 3/8 cup of milk for pancakes and 4/8 cup of milk for muffins, Louis was able to make both pancakes and muffins with the same amount of milk. This demonstrates how precise measurements can help to create the perfect amount of food. This also helps to ensure that no food is wasted, as every last drop of milk was used up in the process. Therefore, Louis was able to make both pancakes and muffins successfully with just 1 cup of milk.

Learn more about amount here

https://brainly.com/question/28970975

#SPJ4

Answer:

  see attached

Step-by-step explanation:

The boundary line has intercepts that are each found by setting the other variable to 0.

  x-intercept = 4/2 = 2

  y-intercept = 4/1 = 4

The line through these points, (2, 0) and (0, 4), will be dashed, because it is not included in the solution set. The values of x and y that are in the solution set are greater than those on the line, so shading will be to the upper right.

Answer:

x > 3

Step-by-step explanation:

This is an open circle, meaning there will be no equal sign.

The line is going to the right of 3, meaning x > 3

So, our inequality is x > 3

The simplified value is \(\frac{7a^{8}+12 }{21a^{5}}\).

What is a mathematical expression?

A mathematical expression is a phrase that contains at least two terms or numbers and one action. It's possible to multiply, divide, add, or subtract with this mathematical operation.

The given expression is \(\frac{a^{3}}{3}+\frac{4}{7a^{5}}\).

This can be simplified by cross-multiplying and adding.

\(\frac{a^{3}}{3}+\frac{4}{7a^{5}}=\frac{7a^{5}*a^{3}+4*3}{3*7a^{5}} \\=\frac{7a^{8}+12}{21a^{5}}\).

Therefore the simplified value of the given expression is :

\(\frac{a^{3}}{3}+\frac{4}{7a^{5}}=\frac{7a^{8}+12 }{21a^{5}}\)

To learn more about simplifying the expressions, refer to the link below:

https://brainly.com/question/723406

#SPJ1

Answer:

8 pages

Step-by-step explanation:

It is given that,

You need to read 20 poems in 5 days for an English project. Each poem is 2 pages long.

We need to find no of pages you need to read each day. Let the no of pages are x. It can be calculated as follow :

\(x=20\times 2/5\\\\=20\times \dfrac{2}{5}\\\\=4\times 2\\\\=8\)

Hence, there are 8 pages you need to read each day.

The measure of angle c is 70 degrees.

If angle a and angle b are complementary, it means that the sum of their measures is equal to 90 degrees.

Given:

Measure of angle a = 10x + 10

Measure of angle b = 20

We can set up the equation:

(10x + 10) + 20 = 90

Simplifying the equation:

10x + 30 = 90

Subtracting 30 from both sides:

10x = 60

Dividing both sides by 10:

x = 6

Now, we have found the value of x to be 6.

To find the measure of angle c, we can substitute the value of x into the equation for angle a:

Measure of angle a = 10x + 10

Measure of angle a = 10(6) + 10

Measure of angle a = 60 + 10

Measure of angle a = 70

As a result, angle c has a measure of 70 degrees.

for such more question on angle

https://brainly.com/question/25716982

#SPJ8

The percent of sales tax was 6.8%.

Tax is a form of government imposed financial obligation which is required to be paid by individuals or businesses within a given jurisdiction. Tax is usually calculated as a percentage of income or profit and is used to fund public services such as education, health care, infrastructure, and other public goods. Generally, taxes are progressive, meaning that tax rates increase as income increases.

Step 1: Subtract the cost of the computer from the total cost including sales tax.

1,337.50 - 1,250 = 87.50

Step 2: Find the amount of sales tax paid by dividing the amount of sales tax by the cost of the computer.

87.50 / 1,250 = 0.07

Step 3: Convert the decimal to a percent by multiplying it by 100.

0.07 x 100 = 7%

So ,The percent of sales tax was 7%.

To learn more about tax
https://brainly.com/question/28735352
#SPJ1

Answer:

D

Step-by-step explanation:

The square root of 50 is approximately equal to 7.07

-7.1111… can be rounded to -7.11

23/3 is equal to approximately 7.67

-7 1/5 is equal to -7.2

Answer:

−87+33i

Step-by-step explanation:

Answer:

-13-14i

Step-by-step explanation:

-7+-6= -13

-5i+-9i= -14i

Answer:

a₁₃ = 4096

Step-by-step explanation:

The n th term of a geometric sequence is

\(a_{n}\) = a₁ \((r)^{n-1}\)

where a₁ is the first term and r the common ratio

Here a₁ = 1 and r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{2}{1}\) = 2 , then

a₁₃ = 1 × \(2^{12}\) = 4096

Answer : (-2, -8)

Step-by-step explanation:

Refer to attachment.

Hope it helps.

Answer:

A

Step-by-step explanation:

So the minute hand if it goes around the entire clock (circle)  we have

360 degrees (think degrees wise) and 60 minutes (think minute wise.)

If we divide 360 degrees into 60 parts for each minute we have 360/60 = 6

degrees for each minute that passed.

From 12:12 to 12:50 we have 50-12= 38 minutes

38 minutes * 6 degrees for each minute = 228 degrees

Answer:

Step-by-step explanation:

all i can do for you, is to show the hyperboloïde

Answer:

A 31.3

Step-by-step explanation:

just took the test

Answer:

27.0m^2

Step-by-step explanation:

Use the formula A = 0.5 * a * b * sin (x)

this formula is used for obtuse angles where a & b are the sides (12,7) and x is the angle between them.

Fill in the blanks:

A = 0.5 * 12 * 7 * sin (40)

use demos scientific calculator

A= 26.99

round up

27.0 m^2

Anomers of D-glucopyranose differ in their stereochemistry at C1. So, the last option is accurate.

The anomers of D-glucopyranose differ in their stereochemistry at the C1 carbon, which is also known as the anomeric carbon. The anomeric carbon is the carbon that becomes a new chiral center when a cyclic monosaccharide, such as D-glucopyranose, forms a hemiacetal or hemiketal ring structure through a reaction with an alcohol or amine group on the same molecule.

D-glucopyranose exists in two anomeric forms: alpha-D-glucopyranose and beta-D-glucopyranose. These two forms are called anomers because they have different configurations at the C1 carbon, resulting in different spatial arrangements of the hydroxyl group attached to the C1 carbon.

Learn more about stereochemistry here:

brainly.com/question/13266148

#SPJ4

The height of the main cable 20 meters from the center is 16 meters above the road.

To find the equation of the parabola, we need to use the information given about the height of the cables at the towers and the center of the bridge. We know that the main cables are 20 meters above the road at the towers, so we can use this information to find the distance between the towers, which is

distance between towers = 80 meters - 2(20 meters) = 40 meters

We also know that the main cables are 4 meters above the road at the center, so we can use this information to find the height of the vertex of the parabola, which is

vertex height = 4 meters + 20 meters = 24 meters

We can now use the vertex form of a parabola to write the equation

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

where (h, k) is the vertex and a is a constant that determines the shape of the parabola.

Substituting the values we found for the vertex height and the distance between the towers, we get

y = a(x - 40)^2 + 24

We now need to find the value of a. To do this, we can use the fact that the vertical cables are spaced every 10 meters. This means that the distance between the vertex of the parabola and a point on the main cable 10 meters from the center of the bridge is

distance = 10 meters

Substituting x = 50 (since the center of the bridge is at x = 40 + 10 = 50) and y = 14 (since the cable is 4 meters above the road at this point), we get

14 = a(50 - 40)^2 + 24

-10 = 100a

a = -0.1

Substituting this value of a into the equation we found earlier, we get

y = -0.1(x - 40)^2 + 24

To find the height of the main cable 20 meters from the center, we can substitute x = 60 (since the center of the bridge is at x = 50 and we want to go 20 meters to the right) into the equation

y = -0.1(60 - 40)^2 + 24

y = -0.1(20)^2 + 24

y = -0.1(400) + 24

y = -40 + 24

y = -16

Learn more about parabola here

brainly.com/question/4074088

#SPJ4

Answer:

Step-by-step explanation:

\(5x + y = 28\)

\(x + y = 8\)

Solve the equation for y by moving 'x' to R.H.S and changing its sign

\(5x + y = 28\)

\(y = 2 - x\)

Substitute the given value of y into the equation 5x + y = 28

\(5x + 2 - x = 28\)

Solve the equation for x

Collect like terms

\(4x + 2 = 28\)

Move constant to R.H.S and change its sign

\(4x = 28 - 2\)

Subtract the numbers

\(4x = 26\)

Divide both sides of the equation by 4

\( \frac{4x}{4} = \frac{26}{4} \)

Calculate

\(x = \frac{26}{4} \)

Reduce the numbers with 2

\(x = \frac{13}{2} \)

Now, substitute the given value of x into the equation y = 2 - x

\(y = 2 - \frac{13}{2} \)

Solve the equation for y

\(y = - \frac{9}{2} \)

The possible solution of the system is the ordered pair ( x , y )

-------------------------------------------------------------

Let's check if the given ordered pair is the solution of the system of equation:

plug the value of x and y in both equation

\(5 \times \frac{13}{2} - \frac{9}{2} = 28\)

\( \frac{13}{2} - \frac{9}{2} = 2\)

Simplify the equalities

\(28 = 28\)

\(2 = 2\)

Since , all of the equalities are true, the ordered pair is the solution of the system.

\((x \:, y \: ) = ( \frac{13}{2} \: , - \frac{9}{2}) \)

Hope this helps....

Best regards!!

Answer:

\(\boxed{x=6.5} \\ \boxed{y=-4.5}\)

Step-by-step explanation:

5x + y = 28

x + y = 2

Subtract both equations. (eliminating y variable)

4x + 0 = 26

4x = 26

Divide both sides by 4.

x = \(\frac{26}{4}\)

x = 6.5

Plug x as 6.5 in the second equation and solve for y.

6.5 + y = 2

Subtract 6.5 on both sides.

6.5 - 6.5 + y = 2 - 6.5

y = -4.5

it would be by 2

Step-by-step explanation:

since the smaller box has the coordinates of (0,3), (2,3), (1,2), (3,2) you can multiply each number by 2 which would give you the bigger boxes coordinates which is (0,6), (4,6), (2,4), (3,2).

hopefully that was what you were looking for I haven't done those types of questions in awhile.

The factor by which quadrilateral ABCD convert to A'B'C'D' is 2.

You must specify the extent of the shape's enlargement when describing one.

The scale factor is the ratio of two dimensions such that one figure is large and another is small.

The side length of a small quadrilateral

AB = 2 units.

The side length of a big quadrilateral

A'B' = 4 units.

Factor by which A'B'C'D' is bigger than ABCD = A'B'  / AB

⇒ 4/2 = 2

Hence "The factor by which quadrilateral ABCD convert to A'B'C'D' is 2".

To learn more about scale factors,

brainly.com/question/22312172

#SPJ2

The statement which is true about the end behavior of the graphed function is third option that is as the x-values go to negative infinity, the function's values are equal to zero.

A coordinate plane is a two dimensional plane formed by the intersection of two number lines . One of these number lines is a horizontal number lines called the x-axis and the other number line is a vertical number line called the y-axis.

The exact answer is third option that is as the x-values go to negative infinity, the function's values are equal to zero.

Step by step explanation:

Minimum value (negative 1.25, negative 3.25)

Maximum value of (0.25, negative 1.75)

The x intercepts where the graph crosses the x axis.

Value of x when y=0 crosses x axis at (negative 2.25, 0)

The y intercept are where the graph crosses the y axis.

Value of y when x=0 crosses y axis at (0, negative 2)

The line exits the plane at (negative 2.75, 6) and (1.5, 6).

It can be seen from the coordinates that as the x-values go to negative infinity, the function's values are equal to zero, the coordinates of y approaches zero.

Learn more about coordinates from:

https://brainly.com/question/17206319

#SPJ10

Answer:

D

Step-by-step explanation:

The value of  tan(45°+Θ) after using trigonometric ratio is  

1+tanΘ/ 1-tanΘ.

What is trigonometric ratios?

   There are six trigonometric ratios used in trigonometry: sine, cosine, tangent, secant, and cotangent. The abbreviations for these ratios are sin, cos, tan, sec, cosec(or csc), and cot. Look at the below-displayed right-angled triangle. Any two of the three sides of a right-angled triangle can be compared in terms of their relative angles using trigonometric ratios.

Here the given,

=> tan(45°+Θ)

Now using formula ,

=> tan(a+b) = \(\frac{tan a+tan b}{1-tan a*tanb}\)

=> tan(45°+Θ)= (tan 45°+tanΘ)/(1-tan45°*tanΘ)

We know that tan 45°=1 then ,

=> tan (45°+Θ)= 1+tanΘ/ 1-tanΘ

Hence the formula for  tan (45°+Θ) is  1+tanΘ/ 1-tanΘ.

TO learn more about trigonometric ratio refer the below link

https://brainly.com/question/24349828

#SPJ4

The first two numbers between 100 and 150 that have a HCF of 22 are 110 and 132

The greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.

According to the question, we are to find two numbers between 100 and

150 that have a HCF of 22.

In order to do that we will multiply 22 by the values 5 and 6

First number = 22 * 5 = 10

Second number = 22 * 6 = 132

Hence the first two numbers between 100 and 150 that have a HCF of 22 are 110 and 132

Learn more on HCF here; https://brainly.com/question/21504246

#SPJ1

Answer:

1) 42.51

2) 39.76

Answer:

solution given;

let

AB=a

AC=b=30ft

AB=c=20ft

<A=115°

By using Cosine rule.

a²=b²+c²-2bc cos angle

a²=30²+20²-2*30*20 Cos 115°

a²=1807.1419

a=√[1807.1419]

a=42.51

Side A is 42.51ft.

Again

Cos B=\( \frac{a²+c²-b²}{2ac} \)

Cos B=\( \frac{42.51²+20²-30²}{2*42.51*20} \)

Cos B=0.7687

<B=Cos -¹(0.7687)

<B=39.46°

Angle B is 39.46

Answer:

The complex number would be in the 4th quadrant.

Step-by-step explanation:

We know that a complex number is a number that can be expressed in the form of a + bi,

where

Given the complex number

10 - 13i

Here,

As the coefficient of the imaginary part holds a negative sign, and the real part holds a positive sign.

Thus, the complex number would be in the 4th quadrant.