Question 2 (1 point)
The two rectangles are similar. Which is the correct proportion for corresponding sides?

Answer:

Just add each one and you will get the answer

Step-by-step explanation:

For example 7+9+18+24 = 58

Answer: To write the equation of the line that is parallel to the graph of y = x – 4 and passes through the point (-2, 3), we can use the fact that parallel lines have the same slope.

The slope of y = x – 4 is 1, since the coefficient of x is 1.

So, we can write the equation of the line in the slope-intercept form y = mx + b, where m = 1 and b is the y-intercept. To find the y-intercept, we can substitute the point (-2, 3) into the equation:

y = 1x + b

3 = 1(-2) + b

3 = -2 + b

b = 5

so the equation of the line in slope-intercept form is y = 1x + 5

To write the equation of the line that is parallel to the graph of y + 2x = 4 and passes through the point (-1, 2), we can use the fact that parallel lines have the same slope.

The slope of the equation y + 2x = 4 is -1/2, since the coefficient of x is -1/2.

So, we can write the equation of the line in the slope-intercept form y = mx + b, where m = -1/2 and b is the y-intercept. To find the y-intercept, we can substitute the point (-1, 2) into the equation:

y = -1/2 x + b

2 = -1/2(-1) + b

2 = -1/2 + b

b = 5/2

so the equation of the line in slope-intercept form is y = -1/2x + 5/2

It's important to note that the slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. The y-intercept is the point where the line crosses the y-axis.

Answer: dimensions of the two rectangles are 6x4 and 6x2

Answer:

  (d)  no, there is not a proportional relationship because 58 over 14 does not equal 38 over 3.

Step-by-step explanation:

You want to know if there is a proportional relationship between °C and °F, given the relation (°F, °C) = (58, 14) or (38, 3).

The relationship is proportional if the ratio of input and output is the same in all cases. Here, we see that ...

  58/14 ≠ 38/3 . . . . . . . the relationship is not proportional

<95141404393>

Answer:

50

Step-by-step explanation:

10 x 5 = 50

There is no solution for the given system of inequalities there is no point that satisfies both inequalities.

The following system of inequalities is given as:

a.

y ≥ x + 1

y ≤ -x - 2

b.

y ≥ x + 1

y ≥ - x - 2

The system of the given inequalities represents a region in the x-y plane that is the solution set for the inequalities. To find the solution set, we can graph the inequalities on the same coordinate plane and find the region where they overlap.

The inequality y ≥ x + 1 represents the line y = x + 1 and all the points above it. Similarly, y ≤ -x - 2 represents the line y = -x - 2 and all the points below it.

When we graph these two lines on the same coordinate plane, we find that the lines intersect at the point (-1.5,-0.5) which means that the common region of the two lines(the region where they overlap) is the empty set. This means that there is no point that satisfies both inequalities and therefore there is no solution for the given system of inequalities.

Similarly, therefore there is no solution for the system of inequalities y ≥ x + 1 ; y ≥ - x - 2.

Learn more about inequalities here:

brainly.com/question/20383699

#SPJ1

These conversions can be carried out for any amount of mass given in grams.

0.379 g = 379 mg

787 g = 0.787 Mg

74.3 g = 0.0743 kg

1. To convert 0.379 g to mg, multiply 0.379 by 1000. 0.379 x 1000 = 379 mg.

2. To convert 787 g to Mg, divide 787 by 1000. 787 / 1000 = 0.787 Mg.

3. To convert 74.3 g to kg, divide 74.3 by 1000. 74.3 / 1000 = 0.0743 kg.

The 0.379 g was converted to 379 mg, 787 g was converted to 0.787 Mg, and 74.3 g was converted to 0.0743 kg.

The conversion of 0.379 g to mg is done by multiplying 0.379 by 1000. The result is 379 mg. To convert 787 g to Mg, divide 787 by 1000. The result is 0.787 Mg. To convert 74.3 g to kg, divide 74.3 by 1000. The answer is 0.0743 kg. In summary, 0.379 g was converted to 379 mg, 787 g was converted to 0.787 Mg, and 74.3 g was converted to 0.0743 kg. This demonstrates how to convert mass from grams to different derived units. These conversions can be carried out for any amount of mass given in grams.

Learn more about amount here

https://brainly.com/question/8082054

#SPJ4

[-5, 3) is the interval of all real numbers greater that or equal to -5 but less than 3

A number system is defined as a system of writing to express numbers.

We need to write all real numbers greater that or equal to -5 but less than 3

[-5, 3)

-5 is included in the interval because it is greater than or equal to.

But the 3 is not included in the interval because it is strictly less than

Hence, [-5, 3) is the interval of all real numbers greater that or equal to -5 but less than 3

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ1

The statements that are true include;

An inequality can be described as a relation with a non-equal comparison between two elements, values, variables, numbers or other algebraic expressions.

Inequalities are mostly used to compare two numbers on the number line on the basis of their size.

It is important to note that the positive values are greater than the negatives .

Also, zero(0) is greater than the negative numbers from the left side of the number line.

Hence,  -1. 5 is less than -0. 5, -0. 5 is less than 0, -2. 5 is less than -2

Learn more about inequalities here:

https://brainly.com/question/25275758

#SPJ1

lol they used art how do u not know this

Ryosuke drove his friend 24 miles, which used 1.14 gallons of gas. The total cost of the gas was $4.64, calculated by multiplying 1.14 gallons by the price of one gallon which was $4.05.

1. Calculate the number of miles driven: Subtract the odometer reading when Ryosuke picked his friend up (74,568) from the odometer reading when he dropped his friend off (74,592). This gives us the total number of miles driven (24).

2. Calculate the number of gallons used: Divide the total number of miles driven (24) by the car's gas mileage (28). This gives us the number of gallons used (1.14).

3. Calculate the cost of the gas: Multiply the number of gallons used (1.14) by the price of one gallon of gas ($4.05). This gives us the cost of the gas used ($4.64).

28 miles

= [tex]$\frac{74,592-74,568}{28}$[/tex]

= 1.14 gallons

Cost of gas

= 1.14 gallons x[tex]$\$4.05$[/tex]

= [tex]$\$4.64$[/tex]

1. 74,592 - 74,568 = 24

2. 24 / 28 = 1.14

3. 1.14 x $4.05 = $4.64

Learn more about total cost here

https://brainly.com/question/28652728

#SPJ4

Answer: 45cm^2

Step-by-step explanation:

The area of the parallelogram is the base x the height.

So in this question, you multiply 5 (which is the base) by 9, (which is the height).

Answer:

A = 45 cm²

Step-by-step explanation:

the area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

here b = 5 and h = 9 , then

A = 5 × 9 = 45 cm²

To determine if two triangles are congruent, the following conditions must be met:

To determine if triangle HL is congruent, you must first compare the lengths of each side. If the lengths of each side are equal, then the triangles are similar. Next, you must compare the angles of each triangle. If the angles of each triangle are equal, then the triangles are congruent. Finally, you must compare the pairs of vertical angles, alternate interior angles, alternate exterior angles, and consecutive interior angles. If all of these pairs are equal or supplementary, then the triangles are congruent. If all three conditions are met, then it can be concluded that triangle HL is congruent.

Learn more about Triangles: brainly.com/question/25215131

#SPJ4

Answer:

6.4 x10^ -4

Step-by-step explanation:

the number has to berween 1 and 9 ao multiply by 10000 and because you went from a small number to a bigger number ,it is a negative power

Answer: It would be 6/35

The amount of water needed for 90 mL concentrate is 225 mL

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

2 parts concentrate to 5 parts of water

The above parameter can be expressed using the following ratio expression

Ratio = Concentrate : Water

Substitute the known values in the above equation, so, we have the following representation

Concentrate : Water = 2 : 5

From the question, we have

Concentrate = 90 ml

Substitute the known values in the above equation, so, we have the following representation

90 : Water = 2 : 5

Multiply the second ratio by 45

This gives

90 : Water = 90 : 225

By comparison, we have

Water = 225

Hence, the amount of water  is 225 mL

Read more about ratio at

https://brainly.com/question/2328454

#SPJ1

The linear function that models the amount left is a = 84 - 16d where 16 is the slope of the equation. At the fourth day, there isn't enough money left for the shirt.

A linear function is a type of mathematical function in which the output is directly proportional to the input. A linear function can be expressed by a linear equation of the form y = mx + b, where m is the slope and b is the y-intercept.

To solve this problem, we have to write a linear function that shows how much is spent in d number of days.

a)

The linear function is

a = 84 - 16d

a = Total amount left

d = number of days.

b)

The cost of the shirt is $38, at the end of the fourth day, we would have

a = 84 - 16(4)

a = 84 - 64

a = 20

The money left isn't enough

Learn more on linear function here;

https://brainly.com/question/4025726

#SPJ1

The surface area of the composite figure is 217.28yd²

The volume of the composite figure is 141.12yd³

A composite figure can be defines as a shape created with two or more basic shapes.

The composite figure consist of a triangular prism and cuboid

The surface area of the cuboid =2(lh+lb+bh)

= 2 ( 4.8×2.8 + 8× 2.8 + 4.8×8)

= 2( 13.44+22.40+38.4)

= 2(74.24)

= 148.48yd²

The surface area of the prism = 2B+ph

Base area = 1/2 × 3×8 = 12

The perimeter = 3+8+5 = 16

SA = 2×12+ 16×2.8

SA = 24+44.8

SA = 68.8yd²

the surface area of the composite figure = 148.48+68.8 = 217.28yd²

The volume of the cuboid = 4.8× 2.8 × 8 = 107.52yd³

Volume of the prism = base area × height = 12×2.8 = 33.6yd³

Therefore the volume of composite figure= 107.52+33.6 = 141.12 yd³

learn more about composite figure from

https://brainly.com/question/26642678

#SPJ1

Answer:

25

Step-by-step explanation:

[tex]0<5x-35<90 \\ \\ 0<x-7<18 \\ \\ 7<x<25[/tex]

The tangent line approximation for f(-1.2) is defined as follows:

f(-1.2) = -5.

The point-slope format for the equation of the tangent line is given as follows:

y - y* = m(x - x*).

In which the parameters are given as follows:

The derivative for this problem is given as follows:

f'(x) = 4x - 1.

f(-1)= -6, hence the coordinates of the point are given as follows:

x* = -1, y* = -6.

Hence the slope is given as follows:

m = f'(-1).

m = 4(-1) - 1

m = -5.

Thus the tangent line is defined as follows:

y + 6 = -5(x + 1).

y = -5(x + 1) - 6.

At x = -1.2, the approximation is calculated as follows:

y = -5(-1.2 + 1) - 6

y = -5.

More can be learned about tangent line at https://brainly.com/question/7252502

#SPJ1

A fraction is a numerical expression that represents a part of a whole using two numbers separated by a fraction bar .Fractions can be used to describe how much of a quantity is being referred to. Examples of fractions include 1/2, 3/4, 5/8, 7/10, and 11/12.

1. 1/2 (one half)

2. 3/4 (three fourths)

3. 5/8 (five eighths)

4. 7/10 (seven tenths)

5. 11/12 (eleven twelfths)

Fractions are numerical expressions used to represent parts of a whole. To express a fraction, two numbers are separated by a fraction bar. The top number (numerator) represents the number of parts taken from the whole, and the bottom number (denominator) represents the total number of parts in the whole. For example, if a pizza is divided into four equal slices, each slice can be described as being "1/4" of the pizza. Other examples of fractions include 3/4, 5/8, 7/10, and 11/12. Fractions can help to quickly and accurately describe how much of a quantity is being referred to.

Learn more about fraction here

https://brainly.com/question/10354322

#SPJ4

A fraction is a mathematical phrase that uses two integers and a fraction bar to indicate a portion of a whole. The fractions 5/7, 9/11, 23/53, 35/37, and 43/51 are a few examples.

Parts of a whole can be represented numerically using fractions. Two numbers are separated by a fraction bar to represent a fraction. The total number of pieces in the whole is represented by the bottom number (denominator), while the number at the top (numerator) indicates how many parts were picked from the whole. As an illustration, if a pizza is cut into four equal pieces, each piece might be referred to as "1/4" of the pizza. The fractions 9/11, 23/53, 35/37, and 43/51 are other examples. Fractions make it easier to express a quantity's size succinctly and precisely.

To learn more about fraction link is here

brainly.com/question/10354322

#SPJ4

Answer:

y = [tex]\frac{6}{5}[/tex] x

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 = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 5, - 6 ) and (x₂, y₂ ) = (5, 6 )

m = [tex]\frac{6-(-6)}{5-(-5)}[/tex] = [tex]\frac{6+6}{5+5}[/tex] = [tex]\frac{12}{10}[/tex] = [tex]\frac{6}{5}[/tex] , then

y = [tex]\frac{6}{5}[/tex] x + c ← is the partial equation

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

using (5, 6 ) , then

6 = 6 + c ⇒ c = 6 - 6 = 0

y = [tex]\frac{6}{5}[/tex] x ← equation of line

Answer:

8v+3c

Step-by-step explanation:

Given 2v+6v+3c

1) Add all like terms

-Since both 2 and 6 have "v" and the two together

2) 8v+3c

Answer: 8v+3c

Hope this helps :)

Answer:

See attached graph

Graph is not continuous

Step-by-step explanation:

The function is not continuous as you can see from the break in the graph

It is discontinuous at x = -2

Answer:

See attachment for graph.

The function is not continuous.

Step-by-step explanation:

Piecewise functions have multiple pieces of curves/lines where each piece corresponds to its definition over an interval.

Given piecewise function:

[tex]f(x)=\begin{cases} x-3 \;\;\;\;\: \text{if}\;\;\;x \leq -2\\4x+5 \;\;\; \text{if}\;\; \;x > -2 \end{cases}[/tex]

Therefore, the function has two definitions:

When graphing piecewise functions:

First piece of the function

Substitute x = -2 into the first function:

[tex]\implies f(-2)=-2-3=-5[/tex]

As the interval for the first equation is x ≤ -2, it includes the value of x = -2.  Therefore, place a closed circle at point (-2, -5).

To help graph the line, find another point on the line by inputting another value of x that is less than -2 into the same function:

[tex]\implies f(-5)=-5-3=-8[/tex]

Plot point (-5, -8) and draw a straight line from the closed circle at (-2, -5) through (-5, -8).  Add an arrow at the other endpoint to show it continues indefinitely as x → -∞.

Second piece of the function

Substitute x = -2 into the second function:

[tex]\implies f(-2)=4(-2)+5=-3[/tex]

As the interval for the second equation is x > -2, it does not include the value of x = -2.  Therefore, place an open circle at point (-2, -3).

To help graph the line, find another point on the line by inputting another value of x that is more than -2 into the same function:

[tex]\implies f(1)=4(1)+5=9[/tex]

Plot point (1, 9) and draw a straight line from the open circle at (-2, -3) through (1, 9).  Add an arrow at the other endpoint to show it continues indefinitely as x → ∞.

See attachment for the graph.

[tex]\boxed{\begin{minipage}{8cm}\underline{Determining if a function is continuous at $x=a$}\\\\Condition 1: $f(a)$ exists\\\\Condition 2: $\displaystyle \lim_{x \to a}f(x)$ exists at $x=a$\\\\Condition 3: $\displaystyle \lim_{x \to a}f(x)=f(a)$\\\end{minipage}}[/tex]

If all three conditions are satisfied, the function is continuous at x = a.

If any one of the conditions is not satisfied, the function is not continuous at x = a.

To determine whether or not the given piecewise function is continuous, find if the function is continuous at x = -2.

Condition 1

Does f(-2) exist?  Yes → f(-2) = -5

Condition 2

[tex]\textsf{Does}\;\;\displaystyle \lim_{x \to -2} f(x)\;\; \sf exist\;at\;\;x=-2?[/tex]

To the left of  x =- 2, f(x) = x - 3

To the right of  x = -2 , f(x) = 4x + 5

Evaluate the left and right limits as x approaches -2:

[tex]\displaystyle \lim_{x \to -2^-}f(x)=\lim_{x \to -2^-} -2-3=-5[/tex]

[tex]\displaystyle \lim_{x \to -2^+}f(x)=\lim_{x \to -2^+} 4(-2)+5=-3[/tex]

[tex]\textsf{As}\;\;\displaystyle \lim_{x \to -2^-} f(x) \neq \lim_{x \to -2^+} f(x), \;\; \lim_{x \to -2} f(x)\;\; \textsf{does not exist}.[/tex]

As condition 2 fails, there is no need to proceed to condition 3.

Therefore, the function is not continuous.

Answer:

[tex]\frac{5}{8}[/tex]

Step-by-step explanation:

[tex]\frac{.30}{.48}[/tex] x [tex]\frac{100}{100}[/tex] = [tex]\frac{30}{48}[/tex] ÷ [tex]\frac{6}{6}[/tex] = [tex]\frac{5}{8}[/tex]

The least possible value of p+n+d+q would be 6 + 3 + 3 + 3 = 15. So, the least possible value of p+n+d+q is 15.

To solve this problem, we need to use the concept of prime factorization. First, we need to find the least common multiple of the four numbers, p, n, d, and q. To do this, we can factor each of the numbers into their prime factors:

[tex]p = 2^a * 3^b * 5^c * 7^d \\n = 2^e * 3^f * 5^g * 7^h\\d = 2^i * 3^j * 5^k * 7^l\\q = 2^m * 3^n * 5^o * 7^p[/tex]

The least common multiple (LCM) of p, n, d, and q is the product of the highest power of each prime factor that appears in any of the numbers. For example, the LCM would be 2^i * 3^j * 5^k * 7^l, because that is the highest power of each prime factor that appears in any of the numbers.

Now that we have the LCM of the four numbers, we need to find out how much money that is worth. Since we know that the total value is $1.08, we can divide both sides by the LCM to find out how much each factor is worth:

[tex]1.08/2^i * 3^j * 5^k * 7^l = x[/tex]

x = 0.01102

So, each factor of the LCM is worth 0.01102. Now, we just need to add up the total number of factors that appear in p, n, d, and q. The least possible value of p+n+d+q would be the sum of the number of powers of each prime factor in p, n, d, and q. For example, if[tex]p = 2^2 * 3^3 * 5^1 * 7^0, n = 2^1 * 3^2 * 5^0 * 7^2, d = 2^0 * 3^1 * 5^2 * 7^1,[/tex] and [tex]q = 2^2 * 3^0 * 5^2 * 7^1.[/tex]

Learn more about least common multiple here:

https://brainly.com/question/30060162

#SPJ4

The 50th derivative of y=cos2x is [tex]& y^{50}(x)=-2^{50} \cos (2 x)[/tex].

Consider y=cos 2x

Derivative: The rate of change of a function with respect to a variable. Derivatives are fundamental to the solution of problems in calculus and differential equations.

Finding the nth derivative means to take a few derivatives (1st, 2nd, 3rd…) and look for a pattern. If one exists, then you have a formula for the nth derivative. To find the nth derivative, find the first few derivatives to identify the pattern.  Apply the usual rules of differentiation to a function, then find each successive derivative to arrive at the nth.

The first derivative is

[tex]$$\begin{aligned}& y^{\prime}=-2 \sin 2 x \\& =-2\left[\cos \left(2 x+\frac{\pi}{2}\right)\right]\end{aligned}$$[/tex]

The second derivative is

[tex]$$y^{\prime \prime}=-2^2\left[\cos \left(2 x+2 \cdot \frac{\pi}{2}\right)\right]$$[/tex]

Similarly, we get the [tex]n^{th}[/tex] derivative

[tex]$$y^n(x)=-\left[2^n \cos \left(2 x+n \frac{\pi}{2}\right)\right]$$[/tex]

When n=50

[tex]$$\begin{aligned}& y^{50}(x)=-\left[2^{50} \cos \left(2 x+50 \cdot \frac{\pi}{2}\right)\right] \\& y^{50}(x)=-2^{50} \cos (2 x)\end{aligned}$$[/tex]

Therefore, the [tex]50^{th}[/tex] derivative of y = cos 2x is [tex]& y^{50}(x)=-2^{50} \cos (2 x)[/tex].

For more such questions on derivatives

https://brainly.com/question/29020856

#SPJ4

Answer:

Experian, Equifax, and/or Transunion

Step-by-step explanation:

None

The new coordinate pair of A' is (0,4) when dilated by a scale factor of 1/2

Given,

The coordinates A(0,8),and C(-4,-6) are dilated by a scale factor of 1/2

let the scale factor be k.

What are coordinates?

coordinates can be defined as the pair of numbers which are used to determine the position of a given point.

k = 1/2

and coordinates A(0,8) and C(-4,-6)

the rule of dilation

If a point (x,y) dilated for the scale factor of 'k', we do get image as (kx,ky)

Using this concept, we know scale factor is  , we could get image as

A' (0*1/2 , 8*1/2)

A' ( 0 , 4)

And for C(-4,-6)

C'(-4*1/2 , -6*1/2)

C' (-2,-3)

Hence, The new coordinate pair of A' is (0,4) when dilated by a scale factor of 1/2 .

To learn more about coordinates from the given link.

https://brainly.com/question/29092536

#SPJ1

Complete the Venn diagram using Potatoes only = 48, sugar beets only = 12, the intersection of P and S = 6 and the box outside the P and S = 34

Given: ξ = 100 farms

60 farms only grow potatoes or sugar beets.

4/5 of these 60 farms grow only potatoes.

The number of farms that grow potatoes are 3 times the number that grow sugar beets

Potatoes only = 4/5 × 60 = 48

sugar beets only = 60 - 48 = 12

Let the intersection of P and S be x

Since P = 3S, we have:

48 + x  =  3 (12+x)

48 + x = 36 + 3x

12 = 2x

x = 6

Since we have 100 farms, we can write:

48 + 6 + 12 + y = 100  (y represents the box outside the circles of P and S)

66 + y = 100

y = 100 - 66

y = 34    

Complete the Venn diagram according

Learn more about Venn diagram on:

https://brainly.com/question/2099071

#SPJ1