What’s the inequality

The segment is a straight line that connects the two points C and D. We want to determine the distance between C and D. Looking at the given points, the x cordinates are 3 and 7. The y coordinates are 6 and - 3.

The first step is to determine the distance between the x coordinate. We can subtract the higher value from the lower value but we must take the absolute value. Therefore, the distance between the x coordinate is 3 - 7 = - 4. The absolute value is 4

The distance between the y coordinate would be 6 - - 3 = 9. The absolute value is 9

The next step is to find the square root of the sum of both distances. It becomes

The length of the segment is 9.85

The  lemonade does Rosanne'a brother drinks is  \(1\div 2\) liter

The remaining should be

\(= (1\ 1\div 2) -(1\div 4) \\\\= 1\ 2\div 4 -1\div 4 \\\\= 1\ 1\div 4 \ liters\)

Since The brother drinks 2/5 of that,

So,

\(= (2\div 5)(1\ 1\div 4 L) \\\\= (2\div 5)(5\div 4 L) \\\\= 2\div 4 L \\\\= 1\div 2 L\)

learn more: https://brainly.com/question/13981855?referrer=searchResults

Answer:

x = 7

y = 13

Step-by-step explanation:

We are told that the numbers 1, 2, x, 11, y, 14 are in ascending order.

Therefore, x must be somewhere between 2 and 11, and y must be somewhere between 11 and 14.

\(\hrulefill\)

The median is the middle value of a data set when all the data values are placed in order of size.

There are 6 numbers in the data set. As this is an even number of data values, the median is the mean of the middle two data values, i.e. the mean of the numbers in 3rd and 4th position.

The two data values in 3rd and 4th position are x and 11.

Given the median is 9, we can set up the following equation and solve for x:

\(\begin{aligned}\dfrac{x+11}{2}&=9\\\\2 \cdot \dfrac{x+11}{2}&=2 \cdot 9\\\\ x+11&=18\\\\x+11-11&=18-11\\\\x&=7\end{aligned}\)

Therefore, the value of x is 7.

\(\hrulefill\)

The mean of a data set is the sum of the data values divided by the number of data values. Therefore, if the mean is 8, we can set up the following equation:

\(\dfrac{1+2+x+11+y+14}{6}=8\)

Substitute the found value of x into the equation, and solve for y:

\(\begin{aligned}\dfrac{1+2+7+11+y+14}{6}&=8\\\\\dfrac{y+35}{6}&=8\\\\6 \cdot \dfrac{y+35}{6}&=6 \cdot 8\\\\y+35&=48\\\\y+35-35&=48-35\\\\y&=13\end{aligned}\)

Therefore, the value of y is 13.

\(\\ \rm\Rrightarrow \dfrac{IJ}{IL}=\dfrac{MN}{MP}\)

\(\\ \rm\Rrightarrow \dfrac{24}{12}=\dfrac{MN}{3.8}\)

\(\\ \rm\Rrightarrow 2=\dfrac{MN}{3.8}\)

\(\\ \rm\Rrightarrow MN=3.8(2)\)

\(\\ \rm\Rrightarrow MN=7.6\)

Answer:

(p,r) = (1/3, 2/9)

Step-by-step explanation:

Here, we want to solve a system of equations

We can rewrite the second equation by dividing through by 2

So we have;

4p + 3r = 2

and

5p - 3r = 1

Add both equations:

9p = 3

p = 3/9

p = 1/3

Recall ;

5p - 3r = 1

3r = 5p - 1

Substitute the value or p here

3r = 5(1/3)-1

3r = 5/3 - 1

3r = 2/3

r = 2/9

So we have the solution set as;

(p,r) = (1/3 , 2/9)

The Jacobian matrix for the given transformation is:

J =  \(\left|\begin{array}{cc}2uv&u^2 + 2v \\v^2-2u& 2uv\end{array}\right|\)

Given that the Jacobian for the transformation, x=u²v+v² and y= uv² -u².

To evaluate the Jacobian for the given transformation, we need to compute the partial derivatives of the new variables (x and y) with respect to the original variables (u and v).

Let start by finding the partial derivative of x with respect to u (denoted as ∂x/∂u):

∂x/∂u = 2uv + 0 = 2uv

Next, find the partial derivative of x with respect to v (denoted as ∂x/∂v):

∂x/∂v = \(u^2\) + 2v

Moving on to y, find the partial derivative of y with respect to u (denoted as ∂y/∂u):

∂y/∂u = \(v^2\) - 2u

Lastly,  find the partial derivative of y with respect to v (denoted as

∂y/∂v):

∂y/∂v = 2uv - 0 = 2uv

Construct the Jacobian matrix J by arranging the partial derivatives:

J = |∂x/∂u   ∂x/∂v |

    | ∂y/∂u  ∂y/∂v |

J =  \(\left|\begin{array}{cc}2uv&u^2 + 2v \\v^2-2u& 2uv\end{array}\right|\)

Therefore, the Jacobian matrix for the given transformation is:

J =  \(\left|\begin{array}{cc}2uv&u^2 + 2v \\v^2-2u& 2uv\end{array}\right|\)

The Jacobian matrix represents the linear transformation between the original variables (u and v) and the new variables (x and y) and provides important information for studying changes in the variables under the transformation.

Learn more about Jacobian matrices and their applications here:

https://brainly.com/question/32227915

#SPJ4

Zig invested for 0.4 years before Zag (option D).

The formula that can be used to determine the number of years is:

Number of years = \(\frac{Log(\frac{FV}{P}) }{r}\)

Where:

FV = future value

P = present value

r = interest rate

Number of years that Zig invested for  = \(\frac{log(\frac{4763.80}{4000}) }{0.0647}\) =  1.17 years

Number of years that Zag invested for  = \(\frac{log(\frac{3821.66}{3000}) }{0.0676}\) =  1.56 years

Difference = 1.56 - 1.17 = 0.39 years ≈0.4 years

Here is the complete question:

Zig and Zag are best friends from daycare. Zag invested $4,000, earned 6.47% annually, and now has $4,763.80. Zig invested $3,000, earned 6.76% annually, and now has $3,821.66. Zig invested his money---- years -----Zag. 1.1; after 1.1; before 0.4; after 0.4; before

To learn more about how to determine the number of years an amount of money would be equal to a certain value, please check: https://brainly.com/question/21841217

#SPJ4

Answer:

12% of 5,500 is 600

Step-by-step explanation:

you turn percent into decimal and then multiply

The equation will be written as \(A = 325[1.004]^{12t}\). The time taken to reach $200 will be 10 years.

Compound interest is defined as the interest levied upon the interest. The formula to calculate the compound interest will be written as:-

\(A = P[1+\dfrac{r}{m}]^{rt}\)

Given that Hassan places $325 into a savings account that offers a monthly compound interest rate of 4.7%.

The equation for the compounding on monthly basis,

\(A = 325[1+\dfrac{0.047}{12}]^{12t}\)

\(A = 325[1.004]^{12t}\)

The time will be calculated as:-

\(A = 325[1.004]^{12t}\)

\(200 = 325[ 1.004]^{12t}\)

log(0.615) = 12 x t x log(1.004)

12t = 121.77

t = 10 years

Therefore, the equation will appear as  \(A = 325[1.004]^{12t}\). It will take 10 years for the price to reach $200.

To know more about compound interest follow

https://brainly.com/question/28158846

#SPJ9

The rate of the canoe in still water is 5 miles per hour, and the rate of the current is 1 mile per hour.

Let's use the letters "c" for the canoe's speed in still water and "r" for the current's speed. The formula is as follows:

Rate times distance

establishing two equations, one for the upstream trip and one for the downstream trip.

Trip downstream:

12 miles is the distance.

rate = c plus r. (since the current is helping them)

t = two hours

We thus have:

12 = (c + r) × 2

When we simplify this equation, we obtain:

6 = c + r

Trip upstream:

12 miles is the distance.

rate equals c-r (since they are now going against the current)

three hours.

We thus have:

12 = (c - r) × 3

When we simplify this equation, we obtain:

4 = c - r

There are now two equations:

6 = c + r

4 = c - r

By combining the two equations, we may find the value of one of the variables:

6 + 4 = 2c

If we simplify, we get:

10 = 2c

When you divide both sides by 2, you get:

c = 5

To solve for the other variable, we may now re-insert this value into one of the equations. Let's apply the formula:

6 = c + r

With c = 5, we obtain:

6 = 5 + r

5 is subtracted from both sides to yield:

r = 1

In still water, the canoe moves at a rate of 5 miles per hour, while the current moves at a rate of 1 mile per hour.

To know more similar question visit:

https://brainly.com/question/13000535

#SPJ1

The radius of the Arctic Circle is approximately 6040.62 km.

To find the radius of the Arctic Circle, we can use the concept of trigonometry and the given information.

Let's consider the Earth as a sphere with a radius of 6400 km.

The Arctic Circle is located at an altitude of 66.6° North.

When we draw a line from the center of the Earth to the Arctic Circle, it will form a right triangle with the radius of the Earth as the hypotenuse and the radius of the Arctic Circle as one of the legs.

Using trigonometric functions, specifically the sine function, we can relate the angles and sides of a right triangle.

We have:

sin(66.6°) = Opposite/Hypotenuse

Let's solve for the Opposite side, which is the radius of the Arctic Circle:

sin(66.6°) = Opposite/6400 km

Opposite = sin(66.6°) × 6400 km

Using a calculator, we can find:

Opposite ≈ 6040.62 km

For similar questions on Arctic Circle

https://brainly.com/question/8890328

#SPJ8

An 8-sided polygon is called an octagon. The word "octagon" comes from the Greek words "okto," which means "eight," and "gonia," which means "angle."

An octagon is a two-dimensional shape that has eight straight sides and eight angles. All of the angles in an octagon add up to 1080 degrees, and each of the eight angles in a regular octagon (an octagon with equal side lengths and equal angles) measures 135 degrees.

Octagons are a common shape in geometry and can be found in a variety of applications, such as in architecture, art, and engineering. For example, many stop signs and traffic signals are octagonal in shape. In architecture, octagons are used in the design of buildings and rooms, and are often used to create interesting visual effects.

In summary, an 8-sided polygon is called an octagon, which is a two-dimensional shape with eight straight sides and eight angles.

To learn more about shapes click on,

https://brainly.com/question/29601950

#SPJ4

Answer:

Step-by-step explanation:

Given the expression cos[arccsc((2√3)/3)]

let y = arccsc((2√3)/3)

Taking cosec of both sides we have;

cosecy = cosec[arccsc((2√3)/3)]

cosecy = (2√3)/3

1/siny =  (2√3)/3

sin y = 3/2√3

Rationalizing 3/2√3

= 3/2√3 *√3/√3

= 3√3/2*3

= 3√3/6

= √3/2

siny = √3/2

y = arcsin(√3/2)

y = 60°

Since y = arccsc((2√3)/3) = 60°

cos[ arccsc((2√3)/3)] = cos60°

cos60° = 1/2

Answer:

It is 1/2

Step-by-step explanation:

Answer:

e=15.33

t=17.88

Step-by-step explanation:

e/9.1=9.6/5.7

cross multiply

5.7e=87.36

e=15.33

t/9.1=11.2/5.7

cross multiply

5.7t=101.92

t=17.88

Answer:

12 photos fit on page = 1

432 photos fit on page = 432/12

= 36 pages

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

36 pages

Step-by-step explanation:

There are 12 photos per page, and Robert has 432 photos. So, we can divide the number of photos he has by the number of photos that fits on each page. By doing so, you'll calculate the number of pages he needs. This calculation is shown below:

\(\frac{432 \ photos}{1} *\frac{1 \ page}{12 \ photos} = 36 \ pages\)

You can see that the units for photos cancel out, resulting in units for pages.

So, Robert will need 36 pages in order to fit all 432 photos into his photo album.

Answer:

7 cm to 1 decimal place

Step-by-step explanation:

We need to know one formula in order to solve this question and it's the volume of a cylinder formula which is π × r² × h where 'r' is the radius and 'h' is the height, we want to work out the radius not the volume so we have to set up an equation to solve for the radius given the information that the volume of the cylinder is 4620 cm³ and the height is 30cm so

→ Step 1 form the equation

π × r² × h = 4620

→ Step 2, substitute in the values in this case we only need to substitute in the height

π × r² × 30 = 4620

→ Step 3, divide 30 from both sides to isolate π and r²

π × r² = 154

→ Step 4, divide both sides by π to isolate r²

r² = 154 ÷ π

r² = 49.0197224723

→ Step 5, square root both sides to isolate 'r'

r = 7.0014086063

So the radius of the cylinder is 7 cm to 1 decimal place

Answer:

7.00 cm.

Step-by-step explanation:

V = π r^2 h so

r^2  = V / π h

r = +√(V / πh)

r =  +√( 4620 / 30π)

r = 7 .00cm.

Answer:

5

Step-by-step explanation:

cause 4 cups are in 1 quart

Answer:

20 cups would equal 5 quarts

Step-by-step explanation:

P = 90 is the solution for the given equation.

Given: Qd=95−4

PQs=5+P

To find Qd if P=5:

Put P = 5 in the equation

Qd=95−4P

Qd = 95 - 4 x 5

Qd = 75

So, Qd = 75.

To find P if Qs = 20:

Put Qs = 20 in the equation

Qs = 5 + PP

= Qs - 5P

= 20 - 5P

= 15

So, P = 15.

To solve Qd=Qs, substitute Qd and Qs with their respective values.

Qd = Qs

95 - 4P = 5 + P

Subtract P from both sides.

95 - 4P - P = 5

Add 4P to both sides.

95 - P = 5

Subtract 95 from both sides.

- P = - 90

Divide both sides by - 1.

P = 90

Thus, P = 90 is the solution for the given equation.

To know more about substitute visit

https://brainly.com/question/29383142

#SPJ11

your ans. in above pic

Answer:    acid + acid = acid

x+%2B++.30%2A5gal+=+.50%285%2Bx%29

           +.5x+=+.20%2A5

                 x = 2 gal

Note:  2gal + 1.5gal = 3.5gal                      

Set Up on ALL mixture problems is to have the same amount of the key ingredient on both sides of the EQ

Step-by-step explanation:

Answer:

7/25

Step-by-step explanation:

The answer is simple. It's a simplified fraction of 28%, or 28/100.

The value of the unknown number is calculated as - 3

Let the unknown number = y

5  less than the number is written as = y - 5

1 more than three times the number is written as = 1 + 3y

Since the first statement and the second statement are equal, we can equate the two and solve for y.

y - 5 = 1 + 3y

collect similar terms together

y - 3y = 1 + 5

-2y = 6

y = -6/2

y = -3

Therefore, the number is - 3

learn more here: https://brainly.com/question/22548668

Building and solving the expression, it is found that the number is -3.

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

They are equivalent, thus:

\(x - 5 = 1 + 3x\)

Solving for x.

\(3x - x = -5 - 1\)

\(2x = -6\)

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

\(x = -3\)

The number is -3.

A similar problem is given at https://brainly.com/question/20742606

Answer:

y = x - 8

Step-by-step explanation:

In order to solve this, we need to use point-slope form.:

y - y1 = m(x - x1)

Substitute the numbers into the equation:

y - (-8) = 1(x - 0)

y + 8 = x

y = x - 8

Answer:

\(-72x^8\)

Step-by-step explanation:

=> \((-2x^2)^3*(-3x)^2\)

=> \(-8x^6*9x^2\)

=> \((-8*9) *(x^6x^2)\)

When bases are same powers are to be added

=> \((-72)(x^{6+2})\)

=> \(-72x^8\)

Answer:

\(- 72x^{8}\)

Step-by-step explanation:

\(( - 2x^2 )^3 \times ( - 3x )^2\)

Distribute the exponents to the brackets.

\(( - 2^3x^{2\times 3} ) \times ( - 3^2x^2 )\)

\(( - 2^3x^{6} ) \times ( - 3^2x^2 )\)

\(( - 8x^{6} ) \times ( 9x^2 )\)

\(- 8 \times x^{6} \times 9 \times x^2\)

\(- 8 \times 9 \times x^2 \times x^{6}\)

Multiply like terms and add exponents with same bases.

\(- 72 \times x^{2+6}\)

\(- 72 \times x^{8}\)

As he cooks on the barbecue, the weight of the tank goes down because some of the propane is getting used up.

Given that is happening, the graph showing that has to start with a lot in it and slowly decrease.

That being said, the graph representing the decrease in propane as time passes is C.

Answer: C.

Answer:

Step-by-step explanation:

Step one:  

monthly earnings= $3680  

22% of the earnings is  

=22/100*3680  

=0.22*3680  

=$809.6  

Jose's take home will be

3680-809.6  

=$2870.4

Step two:

Required

percentage spent on rent and clothing

but the total cost of rent and clothing is

=775+86.12

=$861.12

percentage of rent and cloth is

=(861.12/2870.4)*100

=0.3*100

=30%

The percentage is 30% of the take home

Answer:

(a) P(1) = 3

(b) P(-2) = 15

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

P(x) = x³ + 4x² - 3x + 1

P(1) is x = 1

P(-2) is x = -2

Step 2: Evaluate

P(1)

P(-2)

Answer:

Step-by-step explanation:

Substitute the value of x:

a) P(x) = x³ + 4x² - 3x + 1

b) P(x) = x³ + 4x² - 3x + 1

Answer:

7850 cm

Step-by-step explanation:

The formula for area of a circle is: \(\pi\)\(r^{2}\)

\(50^{2}\) = 2500

(\(\pi\) will be rounded to 3.14)

2500\(\pi\) = 7850

The 99% confidence interval for the population proportion is (0.671, 0.769), using a z-score distribution table.

To find the 99% confidence interval for the population proportion, we can use the following formula:

CI = p ± z x√(p'(1-p')/n)

where CI is the confidence interval, p is the population proportion, p' is the sample proportion, n is the sample size, and z is the z-score associated with the desired confidence level.

In this case, we have p' = 360/500 = 0.72 and n = 500. To find the z-score, we can use a standard normal distribution table or calculator. For a 99% confidence level, the z-score is approximately 2.576.

Substituting these values into the formula, we get:

CI = 0.72 ± 2.576 x √(0.72(1-0.72)/500)

= 0.72 ± 0.049

Therefore, the 99% confidence interval for the population proportion is (0.671, 0.769).

To know more about confidence interval, refer:

https://brainly.com/question/15905481

#SPJ4

Answer:

equation: 2(2w + 2) = 60

length = 16

width = 14

Step-by-step explanation:

width = w

length = w + 2

perimeter = 2(w + w + 2) = 60

equation: 2(2w + 2) = 60

4w + 4 = 60

4w = 56

w = 14

width = 14

length = w + 2 = 14 + 2 = 16

length = 16