39.76 divided by 2.8

Answer:

m ≤ 5

Step-by-step explanation:

I will begin by assuming m to be the number.

Then, the sum of m and 3 is: m + 3.

The symbol for "less than or equal to" is ≤.

So we form an inequality, like this :

m + 3 ≤ 8

To find m subtract 3 on each side:

m ≤ 5

Therefore, m ≤ 5.

Answer:

the diameter of the circle is ⅓ of the height

so the radius is 1/6 of the height

the area of the flag is 1*1.5 of the height

(we need to consider this)

pi*(1/6)² / 1.5

= 0.058177

so the percentage is

5.82 %

So, the required percentage is  \(5.81\%\).

To understand the calculations, check below.

The area of the disk is defined as the ‘ measure of surface ‘ surrounded by the round edge (circumference) of the disk. The area of a disk can be derived by breaking it into a number of identical parts of disk as units — calculating their areas and summing them up till the disk is reformed.

That is \(Area=\pi \frac{d^2}{4}\)

Let the width and the length of the flag be \(2x\) and \(3x\) respectively.

So, the diameter of the gold-colored disk will be \(\frac{2x}{3}\)

Now, by using the above formula the area of the gold disk will be,

\(\pi \frac{d^2}{4}=\pi\times\frac{4x^2}{4\times 9} \\ =\frac{\pi x^2}{9}\)

And the area of the flag will be,

\(Area=l\times b\\=2x\times 3x\\=6x ^2\)

So, the required percentage is,

\(\frac{(\frac{\pi x^2}{9} )}{6x^2} \times 100=\frac{\pi}{54}\times 100\\ =5.81\%\)

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Answer:

To find the coordinates of the point on the x-axis that is reflected over the x-axis from the point P, you can use the formula (x, -y). In this case, the x-coordinate of point P is 4, so the x-coordinate of the reflected point will also be 4. The y-coordinate of point P is 7, so the y-coordinate of the reflected point will be -7. Therefore, the coordinates of the reflected point are (4, -7).

9514 1404 393

Answer:

 B, E

Step-by-step explanation:

Like terms are ones that have the same variable, or that have no variable at all.

There are two terms with y as the variable. These are like terms.

There are two constant terms (with no variable). These are like terms.

The like term pairs are ...

If BCDE is congruent to OPQR, then DE is congruent to QR .

Congruence means the same point on two different shapes , like parallels

so BC is congruent to OP

and

DE is congruent to QR

In plain English, two objects are said to be congruent if they overlap, i.e., have the same size and shape. If two angles have the same measure, they are said to be congruent. They are congruent if the sides' lengths line up.

Two triangles are said to be congruent if their sides and angles are an exact match.

Conditions for Congruence of Triangles:

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Answer:

1/2 or 0.5

Step-by-step explanation:

The percentage of our new facility's seating is full will be 76%.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

The percentage is given as,

Percentage (P) = [Initial value - Final value] / Initial value x 100

Our new training room can seat 150 employees.

If 6 tables consisting of 6 chairs are now taken.

Then the number of occupied seats by tables will be

⇒ 6 x 6

⇒ 36

Then the percentage of our new facility's seating is full will be

P = [(150 - 36) / 150]  x 100

P = (114/150) x 100

P = 0.76 x 100

P = 76%

The percentage of our new facility's seating is full will be 76%.

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Answer: No.

Step-by-step explanation:

I guess that here we have the statement:

If the sum of two numbers is odd----> can their quotient be an odd number?

first, for n an integer number, we have that:

an odd number can be written as 2n + 1

an even number can be written as 2n.

The sum of two numbers is only odd if one of them is odd and the other even.

Then we have a number that is 2n and other that is 2k + 1, for n and k integer numbers.

Now, let's see if the quotient can also be an odd number.

One way to think this is:

There is an odd number such that when we multiply it by another odd number, the result is an even number?

no, and i can prove it as:

let 2k + 1 be an odd number, and 2j + 1 other.

the product is:

(2k + 1)*(2j + 1) = 2*(2*k*j + k + j) + 1

and as k and j are integers, also does 2*k*j + k + j, so:

2*(2*k*j + k + j) + 1 is an odd number.

This says that the product of two odd numbers is always odd, then we never can have that the quotient between an even number and an odd number is odd.

Answer:

I can explain how to complete each of the steps you have provided.

1. Draw a point at (1, -2)

This is a simple step. Just mark a dot on your paper at the coordinates (1, -2).

2.

Draw an 8-unit long radius

Using your compass, set the radius to 8 units. Place the compass on the point you drew in step 1 and draw a circle around it, making sure that the radius is 8 units long.

3. Using a compass

Draw a circle with your point from step one as your center and the point from step two as the side: This step is already completed in step 2.

4. Using a protractor draw a 70 degree arc

Place your protractor on the center of the circle (the point you drew in step 1) and draw a 70 degree arc on the circle.

5. Draw a central angle which intercepts your arc

Use a straight edge to draw a line from the center of the circle to each endpoint of the arc you drew in step 4. This creates a central angle, which is an angle whose vertex is at the center of the circle and whose sides intercept the circle.

6. Draw an inscribed angle which intercepts a 40 degree arc

Use a straight edge to draw a line from one endpoint of the 70 degree arc to the other endpoint. Then, draw a perpendicular bisector of this line, which intersects the center of the circle. This creates a 40 degree arc on the circle. Draw a line from the center of the circle to one endpoint of the 40 degree arc, and draw a line from that endpoint to the other endpoint of the 40 degree arc. This creates an inscribed angle, which is an angle whose vertex is on the circle and whose sides intercept the circle.

7. Draw a tangent line

Choose a point on the circle that is not on the 70 degree arc. Draw a line from that point tangent to the circle.

8. Draw a secant line

Choose two points on the circle that are not on the 70 degree arc. Draw a line through those points, which intersects the circle at two points.

9. Equation of your circle

The equation of a circle with center (a,b) and radius r is (x-a)^2 + (y-b)^2 = r^2. Using the coordinates of the center from step 1 and the radius from step 2, the equation of the circle is (x-1)^2 + (y+2)^2 = 64.

The number of minutes it would take Athlete J to run one mile is 12 minutes.

The number of hours it would take Athlete h to run 5 miles is 10/11 hour.

Athlete h runs faster because his average speed is greater than that of  Athlete J.

In order to determine the time it would take Athlete J to run one mile, the average speed has to be determined.

Average speed = total distance / time

2/3 ÷ 8

2/3 x 1/8 = 1/12 mile / minute

Time it would take Athlete J to run one mile = distance / speed

1 ÷ 1/12 = 12 minutes

Average speed of Athlete H = 2 3/4 ÷ 1/2

11/4 x 2 = 5 1/2 miles / hour

Time it would take Athlete H to run 5 miles = distance / speed

5  ÷ 11/2

5 x 2/11 = 10/11 hours

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Answer:

A

Step-by-step explanation:

The nth term of 11,13,15,17 is,

⇒ T (n) = 9 + 2n

Given that;

The sequence is,

11, 13, 15, 17, ....

Here, Common difference is,

13 - 11 = 2

15 - 13 = 2

Hence, Sequence is in Arithmetic sequence.

So, the nth term of 11,13,15,17 is,

⇒ T (n) = a + (n - 1)d

⇒ T (n) = 11 + (n - 1) 2

⇒ T (n) = 11 + 2n - 2

⇒ T (n) = 9 + 2n

Thus, The nth term of 11,13,15,17 is,

⇒ T (n) = 9 + 2n

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As per the given data, the number of integers in R ∩ S is 2, and the correct answer is (B) Two.

In mathematics, the intersection of two sets is a set containing all elements that are members of both sets.

In symbols, the intersection of two sets A and B is denoted by A ∩ B, and it contains all elements that belong to both A and B.

The intersection of two sets contains only the elements that are present in both sets. In this case,

R ∩ S = {x | x > 0 and x < 3}

The integers that are present in this set are 1 and 2.

Therefore, the number of integers in R ∩ S is 2, and the correct answer is (B) Two.

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The answer of the given question based on the scatterplot for determining  when she will reach 10,000 songs the answer is Maria will reach 10,000 songs in approximately 13.33 months, or about 14 months.

Slope is  measure of  steepness or incline of  line. In geometry and mathematics, slope is defined as  ratio of the change in  y-coordinates to  change in  x-coordinates between two distinct points on  line. This is often represented by  letter "m".

To determine when Maria will reach 10,000 songs, we need to find the point on the line of best fit where the y-value is 10,000.

From the scatterplot, we can estimate that the line of best fit intersects the y-axis at approximately 2000. This means that the initial number of songs downloaded was 2000.

Next, we need to find the slope of the line of best fit. Let's choose the points (5, 6500) and (10, 9500).

The slope of the line passing through these two points is:

slope = (y2 - y1)/(x2 - x1) = (9500 - 6500)/(10 - 5) = 600 songs per month

This means that Maria is downloading 600 songs per month on average.

Finally, we can use the slope-intercept form of a line to find the x-value when the y-value is 10,000:

y = mx + b

10,000 = 600x + 2000

8000 = 600x

x = 13.33

Therefore, Maria will reach 10,000 songs in approximately 13.33 months, or about 14 months.

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The step in which the subtraction property of equality was applied to solve the equation is given as follows:

D. The subtraction property of equality was not applied to solve this equation.

The subtraction property of equality states that subtracting the same number from both sides of an equation does not affect the equality, and hence it is used to isolate a variable that is adding on a side of the expression.

For this problem, to remove the term -7, we add 7 to both sides of the expression, hence the addition property of equality was applied.

In the other step, the multiplication property was applied, hence option D is the correct option for this problem.

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Answer:

4Cl + 2Pb → 2PbCl2

Step-by-step explanation:

It's simplest reaction is:

Pb + Cl2 → PbCl2

Answer:

A

Step-by-step explanation:

To solve the equation 7x-3(x-6)=30, we need to use the distributive property to simplify the left-hand side of the equation:

7x - 3(x-6) = 30

7x - 3x + 18 = 30

4x + 18 = 30

Next, we need to isolate the variable term on one side of the equation. To do this, we can subtract 18 from both sides:

4x + 18 - 18 = 30 - 18

4x = 12

Finally, we can solve for x by dividing both sides by 4:

4x/4 = 12/4

x = 3

Therefore, the solution to the equation 7x-3(x-6)=30 is x = 3. Answer A is correct.

Answer:

given ,

a point , let's say , A( 1 , 4 ) on the cartesion plane.

to find - the horizontal distance of the point from the origin.

\(\underline\bold{using \: Distance \: formula \:} \\ \\ d(AO) = \sqrt{( x_{2} - x_{1}) {}^{2} +( y_{2} - y_{1}) {}^{2} } \\ \\ d(AO) = \sqrt{(1 - 0) {}^{2} + (4 - 0) {}^{2} } \\ \\ d(AO) = \sqrt{1 + 4} \\ \\ d(AO) = \sqrt{5} units \)

hope helpful :D

Answer:

x = 18

Step-by-step explanation:

The sum of interior angles in a triangle = 180 degrees

The given is a right triangle which means one of the angle is = 90

so the sum of 3x + 2x = 90

5x = 90 divide both sides by 5

x = 18 to find the measure of angles replace x with 18

The roots of the given polynomial x³ - 52x² + 581x - k are distinct prime numbers represents that value of k is equal to 602.

Let p, q, and r be the three distinct prime roots of the polynomial,

x³ - 52x² + 581x - k.

By Vieta's formulas, we know that,

p + q + r = 52

pq + qr + rp = 581

pqr = k

Use the fact that p, q, and r are prime numbers to simplify the problem.

Since 581 is an odd number,

One of the primes must be 2.

Assume that p = 2.

Then we have,

q + r = 50

2q + 2r + qr = 581

2qr = k

Solving the first equation for q, we get q = 50 - r.

Substituting this into the second equation, we get,

2(50 - r) + 2r + 2r(50 - r) = 581

⇒ 100 - 2r + 2r + 100r - 2r² = 581

⇒ 2r² - 100r + 481 = 0

Using the quadratic formula, solve for r,

r = (-b ± √(b² - 4ac)) / (2a)

here,

a = 2, b = -100, and c = 481

Substitute the value we get,

r = (-(-100) ± √((-100)² - 4(2)(481))) / (2(2))

⇒ r = (100 ± √(10000 - 3848)) / 4

r = (100 ± √6152) / 4

r ≈ 44.6 or r ≈ 5.4

q and r must be a prime number,

Consider

r = 7 and q = 43.

or r = 43 and q = 7

This implies,

k

= pqr

= (2)(7)(43)

= 602

Therefore, from the roots of the polynomial the value of k is 602.

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The above question is incomplete, the complete question is:

The roots of the polynomial x³ -52x² + 581x - k are distinct prime numbers. find k.

The range of juice amounts is most likely dispensed by a machine

programmed to dispense 12 ounces of juice at a time is between 11 and 12 ounces.

Option B is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The machine is programmed to dispense 12 ounces.

This means,

The amount dispensed can not be more than 12 ounces.

The amount dispensed can be less than 12 ounces.

Now,

The range of juice amounts is most likely dispensed by a machine.

11 ≤ x ≤ 12

Thus,

The range of juice amounts most likely dispensed by a machine is between 11 and 12 ounces.

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Answer:

tan(θ)= dn/de

θ=arctan(dn/de)

Step-by-step explanation:

Plane ADF is another way to label Plane J.

In order to determine which of the given options is another way to label Plane J, we need to first identify the key characteristics of Plane J.

These characteristics are its points, lines, and planes that it contains. We can then use these characteristics to compare and match them with the given options.

Here are the key characteristics of Plane J: Points: J, A, D Lines: JA, JD, AD Planes: Plane J Now let's examine each option to see which one matches the characteristics of Plane J: Option A: Plane h This option is not a match since Plane h is not one of the planes that contain the points J, A, and D.

Option B: Plane ABD This option is not a match since Plane ABD contains points A, B, and D but not point J.

Option C: Plane EFG This option is not a match since Plane EFG contains points E, F, and G but not point J.

Option D: Plane ADF This option is a match since Plane ADF contains points A, D, and F which are all points that are contained in Plane J.

Therefore, Plane ADF is another way to label Plane J.

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Answer:

ee

Step-by-step explanation:

Answer:

Mark bakes 36 cookies

Joe bakes cookies

36-12=24

Joe bakes 23 cookies

Answer:

378873

Step-by-step explanation:

Using the relation :

y = 180000(1.07)^x

x = Number of days since May 6 ;

y = Number of mosquitoes after x days

x = May 17- May 6 = 11 days

Therefore, number of mosquitoes inhabiting the city on May 17 will be :

y = 180000(1.07)^11

y = 180000 * 2.1048519522998348950643

y = 378873.351413970281111574

y = 378873 (nearest whole number).

Answer:

I believe that it is 6 dollars and 6 cents.

ok

under the -4 is a 16

under the 0 is a 4

under the 8 is a -20

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