Rashad draws a figure and divides it into equal parts. Two of the parta are red. The other 4 parts are blue. Rashad saya that 2/4 of the figure is red. What error is he making? Explain. Then write the correct fraction of the figure that is red.

The two positive consecutive even integers that, when their squares are subtracted, equal 76 are 18 and 20.

In this problem, the two positive consecutive even integers can be represented as x and x+2. The problem states that the difference of their squares is 76, which can be put into the equation (x + 2)^2 - x^2 = 76. By simplifying this equation, we get 4x + 4 = 76. Solving for x, we find that x = 18. Therefore, the two consecutive even integers are 18 and 20.

https://brainly.com/question/20887867

#SPJ11

A student concluded that the solution of the equation [tex]\sqrt{2x+1}+3 = 0[/tex] is x = 4. The conclusion is true.

Perfect squares are those integers whose square root is an integer.

Let x-a be the closest perfect square less than x,

and let x+b be the closest perfect square more than x, then we get x-a < x < x+b (no perfect square in between x-a and x+b, except possibly x itself).

Then, we get:

[tex]\sqrt{x-a} < \sqrt{x} < \sqrt{x+b}[/tex]

[tex]\sqrt{2x+1}+3 = 0\\\\\sqrt{2x+1}= -3[/tex]

by taking square on both sides we get

[tex](\sqrt{2x+1})^2 = (- 3)^2 \\\\2x+ 1 = 9[/tex]

when x = 4

2(4) + 1

= 9

Thus, the solution of the equation is 4.

Learn more about square root here:

brainly.com/question/7200235

#SPJ2

1(17/24) simplified is 41/24.

We have,

To simplify the mixed number 1 17/24, we need to convert it to an improper fraction.

To do that, we multiply the whole number (1) by the denominator of the fraction (24), and then add the numerator (17):

1 x 24 + 17 = 24 + 17 = 41

So, the mixed number 1 17/24 is equivalent to the improper fraction 41/24.

Therefore,

1(17/24) simplified is 41/24.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ6

Answer: The correct option is 4.

Explanation:

The formula of law of cosine is,

[tex]a^2=b^2+c^2-2bc\cos(A)[/tex]

Where a,b,c are sides of the triangle and A is the interior angle of vertex A.

Reason for correct option:

From the above formula we can easily conclude that to find an unknown angle measure we need the length of all sides of the triangle.

In figure 4 all sides are given, so the correct option is 4.

Reason for incorrect option:

In figure 1,2 and three all sides are not known, so we can apply the cosine rule to mind the unknown angle measure.

Therefore option 1,2 and 3 are incorrect.

The assertion is not totally true.

It is not always necessary to dispose of debris dropped more than 20 feet to the outside using an enclosed chute.

It is crucial to check the precise restrictions that apply in your area as building codes and regulations might differ based on the jurisdiction.

It is important to keep in mind that, in some circumstances, a covered chute may be necessary for safety reasons or to stop the materials from spreading or causing harm while being disposed of.

These specifications may be unique to certain locales, building types, or construction projects.

Therefore, it is crucial to check your area's construction laws and regulations to ascertain the precise specifications for disposal requirements.

Learn more about safety reasons click;

https://brainly.com/question/30722272

#SPJ6

Answer:

its reflection

Step-by-step explanation:

I did it on edge ; )

Answer:

C. [tex]\dfrac{1}{(m-4)(m-3)}[/tex]

Step-by-step explanation:

First note that

[tex]m^2-16=(m+4)(m-4) \quad \text {and} \quad m^2-9=(m+3)(m-3)[/tex]

On the other hand, the expression from the question is equivalent to

[tex]\dfrac{m+3}{m^2-16} \cdot \dfrac{m+4}{m^2-9}=\dfrac{m+3}{(m+4)(m-4)}\dfrac{m+4}{(m+3)(m-3)}[/tex]

we cancel the equal terms in the numerator and the denominator and finally we get that our expression is equivalent to

[tex]\dfrac{1}{(m-4)(m-3)}[/tex]

o to 100 miles per hour

Answer:

Vertical angles : Opposite angles made by two intersecting lines.

Corresponding angles : which occupy the same relative position at each intersection where a straight line crosses two others.

Alternate interior angles : when a transversal passes through two line then the angles that are formed on opposite sides of the transversal and inside the two lines.

Alternate exterior angles : angles on the outer side of each of those two lines but on opposite sides of the transversal.

Here, line k passes through the lines p and q,

Thus, by the above explanation,

Vertical pairs are, angle 1 and angle 4, angle 2 and 3, angle 5 and angle 8,  angle 6 and 7,

Corresponding pairs,

angle 2 and angle 6, angle 1 and angle 5, angle 4 and angle 8, angle 3 and angle 7,

Alternate interior angles pair,

angle 4 and angle 5, angle 6 and angle 3,

Alternate exterior angles pair,

angle 2 and angle 8, angle 1 and angle 7,

Vertical angles are always equal in measure,

Now, the p and q are parallel lines,

So, the corresponding angles will be congruent as well as alternative interior or exterior will be congruent.

Therefore, the required pair,

Corresponding pairs :

m∠1=m∠5

m∠2=m∠6

Alternative interior pairs :

m∠3=m∠6

m∠4=m∠5,

Alternate exterior pairs :

m∠1=m∠8

m∠2=m∠7

Vertical pairs :

m∠1=m∠4

m∠5=m∠8

m∠2=m∠3

m∠6=m∠7

Answer:

9,800

Step-by-step explanation:

Helen's Shop

60 m x 80 m = 4,800 m2

Parking Lot

Length = 2 × 50 m = 100 m

Area = 50 m × 100 m = 5,000 m2

Final Answer

4,800 m2 + 5,000 m2 = 9,800 m2

Answer:  The required result is [tex]40\dfrac{3}{8}.[/tex]

Step-by-step explanation:  We are given to perform the following indicated operation :

[tex]E=7\dfrac{1}{8}\times5\dfrac{2}{3}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

To perform the given multiplication, first we need to convert the mixed fraction to improper fraction.

The simplification of the given operation is as follows :

[tex]E\\\\\\=7\dfrac{1}{8}\times5\dfrac{2}{3}\\\\\\=\dfrac{57}{8}\times\dfrac{17}{3}\\\\\\=\dfrac{19\times17}{8}\\\\\\=\dfrac{323}{8}\\\\\\=40\dfrac{3}{8}[/tex]

Thus, the required result is [tex]40\dfrac{3}{8}.[/tex]

Answer:

  $5308.79

Step-by-step explanation:

The future value can be computed from ...

  FV = P(1 +r/n)^(nt)

where P is the principal invested, r is the annual interest rate, n is the number of times per year it is compounded, and t is the number of years.

You have P = $5000, r = 0.03, n = 12 (months per year), t = 2.

Filling in the given numbers, we have ...

  FV = $5000(1 +.03/12)^(12·2) ≈ $5000(1.0617570) ≈ $5308.79

The amount of the withdrawal will be $5308.79.

Final answer:

To find the withdrawal amount for Myron's CD, the compound interest formula is used with the respective values plugged in. After 2 years, with 3% interest compounded monthly on a principal of $5000, the withdrawal amount is approximately $5,304.91.

Explanation:

The question deals with the calculation of compound interest for a Certificate of Deposit (CD), specifically with different compounding periods.

To calculate the withdrawal amount for Myron's 2-year CD with a principal amount of $5000 at a 3% interest rate compounded monthly, the formula for compound interest is:

[tex]A = P (1 + r/n)^{nt[/tex]

Where:

By plugging in Myron's values, we get:

[tex]A = $5000 (1 + 0.03/12)^{12\times 2[/tex]

Calculating this we find that A, the withdrawal amount, is approximately $5,304.91.

Answer:  The description is mentioned in the below explanation.

Step-by-step explanation:

Since  greatest integer function rounds down a real number to the nearest integer. for example, if f(x)=[x] and for x =1.3 f(x)= [1.3]= 1

or x= 0.9 f(0.9)= [0.9]= 0

Here, The given function, y=4[x+2]

Which is a greatest integer function and it is described on  [0,3)

So, For the values of  [tex]1 >x\geq 0[/tex],we take  x=0 ⇒ y= 4(0+2)= 8

For,  [tex]2>x\geq 1[/tex] , we take x=1, ⇒ y = 4(1+2)= 12

For,  [tex]3>x\geq 2[/tex] we take x=2, ⇒ y = 4(2+2)=16

The graph description for the open or close interval, is mean describe values of variable for the interval. The graph [tex]y=4[x+2][/tex] is described and the values of y we get are 8,12, and 16 for the values of x as 0,1 and 2.

Integer keeps the values as positive or the negative and graphed at the number line.

Given information-

The function of the graph given in the problem is,

[tex]y=4[x+2][/tex]

This function need to be describe on the points [0,3).

The close bracket is used in left side means the value 0 is included and the  open bracket is used in right side means the value 3 is excluded.

Thus find the value of variable y for the different intervals o x,

The interval is,

[tex]0\leq x<3[/tex]

         [tex]y=4(0+2)\\y=4\times2\\y=8[/tex]

         [tex]y=4(1+2)\\y=4\times3\\y=12[/tex]

         [tex]y=4(2+2)\\y=4\times4\\y=16[/tex]

The graph of the given point is attached below.

Thus the graph [tex]y=4[x+2][/tex] is described and the values of y we get are 8,12, and 16 for the values of x as 0,1 and 2.

Learn more about the graph integer on a number line here;

https://brainly.com/question/90983

Answer:

Step-by-step explanation:

2^3)(2^-4) = 2^(3-4) = 2^-1 = 1/2

answer is D.

add exponents and keep the same base.then find the reciprocal and change the sign of the exponent