The human heart beats about 70 times every minute. How many times does it beat in one day

For this case we must factor the following expression:

[tex]16x ^ 2-25y ^ 2[/tex]

By definition, the formula of square difference states that:

[tex]a ^ 2-b ^ 2 = (a + b) (a-b)[/tex]

In this case:

[tex]a = 4x\\b = 5y[/tex]

Then, we can factor the expression as:

[tex](4x + 5y) (4x-5y)[/tex]

Answer:

[tex](4x + 5y) (4x-5y)[/tex]

Final answer:

The expression [tex]16x^2-25y^2[/tex]is a difference of squares and factors into the product of two binomial conjugates, which is (4x + 5y)(4x - 5y).

Explanation:

The expression [tex]16x^2-25y^2[/tex] is a difference of squares, which is a special factoring case where you have two perfect squares separated by a subtraction sign. The difference of squares can be factored into the product of two binomials that are conjugates of each other. This means that they are identical except for the sign between their terms.

The factorization is:

Therefore, the factorization of the given expression is[tex]\((4x + 5y)(4x - 5y)\).[/tex]

Answer:

-3.125

Step-by-step explanation:

Answer: this is the correct answer -3.125

Answer:

1.  1/6 , 2/9 , 1/4 ,  5/18

2.  1/3 , 4/9 , 1/2 , 5/9

3. 5/12 , 5/9 , 5/8 , 25/36

Hope this helps!

The mean absolute deviation from the data representing the number of canoes rented each month from May through October is 9.67. The process involves finding the average of the data set, calculating each number's deviation from that mean, and then averaging those deviations.

To calculate the mean absolute deviation of the provided data set: 15, 29, 36, 45, 31, 12, we take the following steps:

So, the mean absolute deviation of the data set is 9.67.

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Answer:

3x+2y

Step-by-step explanation:

-3x+2y+x-5x

-5x-3x=-8x+x=-7x

-7x+2y

Answer: [tex]-7x+2y[/tex]

Step-by-step explanation:

You have the expression [tex]-3x +2y + x -5x[/tex]

You can observe that this expresssion has two variables. These are:

"x" and "y"

Then, to simplify the expression given, you need to add the like terms (terms that have the same variable), which are:

[tex]-3x[/tex], [tex]-5x[/tex] and [tex]x[/tex]

Therefore, adding the like terms, you get:

[tex](-3x+x-5x)+2y\\-7x+2y[/tex]

Then, the simplified form of  [tex]-3x +2y + x -5x[/tex] is:

[tex]-7x+2y[/tex]

The right answer for this one is C.

The length of side x is  4√3

The tangent of an angle in trigonometry is the ratio of the lengths of the adjacent side to the opposing side. In order for the value of the cosine function to not be 0, it is the ratio of the sine and cosine functions of an acute angle.

Given

Height = 12

θ = 60

tan θ = height/base

tan 60 = 12/base

√3 = 12/x

x = 12/√3 = 4√3

To know more about tan of an angle refer to :

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The transitive property of equality is correctly represented by option A, stating that if WX = XY and XY = YZ, then WX = YZ.

The correct answer is option A.

The transitive property of equality states that if two quantities are equal to a third quantity, then they are equal to each other. Among the given options, the statement that represents the transitive property is:

A) If WX = XY and XY = YZ, then WX = YZ.

This statement adheres to the transitive property because it asserts that if WX is equal to XY and XY is equal to YZ, then it logically follows that WX must be equal to YZ. This principle is fundamental in mathematics and logic, providing a way to establish equality relationships through a chain of equalities.

On the other hand, options B and C do not correctly represent the transitive property:

Option B is a statement about the equality of angles, and it does not involve the transitive relationship between two quantities.

Option C represents the reflexive property (an equality is always equal to itself) rather than the transitive property.

In conclusion, option A accurately represents the transitive property of equality.

The question probable may be:

Which statement represents the transitive property of equality?

A) If WX = XY and XY = YZ, then WX = YZ

B) If mZA = mZB, then mZB = mZA

C) If WX = XY, then XY = WX

Answer:

15

Step-by-step explanation:

we know that the boys in total cost 75 dollars and the girls cost 90.

75 and 90 share but one common factor and that is 15.

Therefore, we can conclude that the tickets cost $15.

Answer:

15

Step-by-step explanation:

Answer:

$2680.00

Step-by-step explanation:

We are informed that Faith Franklin sells furniture and earns 8% commission on her total sales. She sold $33,500 last month. We are required to determine her earnings for that month;

We simply evaluate 8% of  $33,500

[tex]\frac{8}{100}*33500=2680[/tex]

Therefore, she earned $2680.00

Answer:

The value of x (which is also the height of this triangle) is x = 5 units.

Step-by-step explanation:

The formula for the area of a triangle of base b and height h is

A = (1/2)(b)(h).

Here A = 10 units² = (1/2)(4 units)(x).

Multiplying both sides by 2 yields    20 units² = (4units)(x), and thus

       20 units²

x = ------------------ = 5 units

         4 units

The value of x (which is also the height of this triangle) is x = 5 units.

Answer:

x=5

Step-by-step explanation:

Answer:

Step-by-step explanation:

False, because plugging it in would imply that 22.5 = 11.25

False

its false

The answer is false ok. there

Answer:

(8+x)<32

Step-by-step explanation:

What Jenna wrote is "the sum of 8 and x minus 32"

Jenna made a mistake by interpreting the phrase "the sum of 8 and x less than 32" as if it suggested that one should calculate the sum of 8 and x and then subtract 32 from it. This interpretation led her to write the expression as (8 + x) - 32. However, this expression actually represents the value that is 32 less than the sum of 8 and x, which is not what the phrase intends to convey.
The phrase "the sum of 8 and x less than 32" means that when we add 8 and x together, their total should be less than 32. This is a statement about the relationship between the sum of 8 and x and the number 32. It involves a comparison, not an arithmetic operation like subtraction.
To correct the expression according to the original phrase's intent, we need to write an inequality that compares the sum of 8 and x with 32. The phrase suggests that the sum (8 + x) should be smaller than 32. This inequality is written as:
8 + x < 32
This correct expression states that when you add 8 to x, the result should be less than 32. It does not involve subtracting 32 from the sum, but rather compares the sum directly to 32 with a "less than" sign, effectively expressing the original phrase mathematically.

Answer:  C) 2

Step-by-step explanation:

The red curve is: y = eˣ

The blue line is: y = 2x + 3

The intersect at two coordinates: (-1.4, 0.2) & (2, 7)

The only x-value option provided in your answer choices is: x = 2

Answer:

17.15 cm²

Step-by-step explanation:

The area (A) of a parallelogram is calculated using the formula

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

here b = AE + EB = 1.4 + 3.5 = 4.9 and h = BF = 3.5, hence

A = 4.9 × 3.5 = 17.15

Answer:

Nice quote!

Step-by-step explanation:

<:)

The discussion reflects on how accepting the inevitability of death might influence one's ambition, with perspectives ranging from it being a motivator to live more purposefully to a potential cause for nihilism or inaction.

The question delves into philosophical reflections on mortality and ambition, suggesting that acknowledging the inevitability of death might dampen one's drive to achieve. This idea taps into a broader discussion on how our perceptions of life and death can shape our motivations and actions. Ancient philosophies and modern thought leaders offer varying perspectives on this issue.

For instance, sources suggest that embracing the certainty of death can lead to a life lived with greater purpose and less fear, implying that the awareness of mortality can actually enhance one's ambition by instilling a sense of urgency and focus. This is supported by the notion that knowing each day could be our last encourages us to grow, reach out to others, and live authentically. Conversely, others argue that an excessive preoccupation with death may lead to nihilism or inaction, driven by the belief that all efforts are ultimately futile in the face of mortality. The balance between these viewpoints highlights the complex relationship between accepting death and pursuing ambition.

Answer:

The value of x = 34° ⇒ first answer

Step-by-step explanation:

* Lets revise some facts about the circle

- A chord of a circle is a straight line segment whose endpoints

 both lie on the circle

- When two chords, intersect inside a circle then the measure

 of the angles formed is one-half the sum of the measures of the

 intercepted arcs.

* Now lets solve the problem

- There are two chords intersect inside the circle

∵ AC and DB are two chords intersect each other at point O

- The measures of the angles between them is 1/2 the measure

  of their intercepted arc

∵ ∠AOB subtended by arc AB

∵ ∠COD subtended by arc CD

∴ m∠AOB = m∠COD = 1/2[measure arc AB + measure arc CD]

∵ The measure of arc AB = 45°

∵ The measure of arc CD = 23°

∴ m∠AOB = m∠COD = 1/2[45 + 23] = 1/2[68] = 34°

- The measure of angle AOB represented by x

∴ m∠AOB = x

∴ The value of x = 34°

Answer: Surface Area= 40

Step-by-step explanation:

The surface area is the sum of all areas of the triangle. To find the area of the triangle you would multiply the base(4) times the height(3) and divide it by 2. 4x6/2=6. This will give you the area of 6 for one triangle. Since there are 4 triangles you would multiply it by 4. This will give you 24. Now all you got to do is add the square's area which is 4 times 4 giving you 16. Add 16 and 24 and you get 40.

Answer:

Step-by-step explanation:

In other words, solve the system

2x - 3y = 8

4x + 3y = -2

Let's use the method of elimination.  Mult. the first equation by -2:

-4x + 6y = -16

4x  + 3y = -2

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

         8y = -18, so y = -9/4.     If y = -9/4, then 2x - 3(-9/4) = 8, and:

2x + 27/4 = 8, or

2x + 27/4 = 32/4, or

2x  = 5/4, or

x = 5/8

Then the solution is (5/8, -9/4).

If this does not match any of the possible answer choices, please check to ensure that y ou have copied down this problem correctly.  Where do the "- =" symbols following the '8' come from?

To find the values of x and y that fit both equations, we can solve the system of equations using the elimination method. The values of x and y that fit both equations are x = 1 and y = -2.

To find the values of x and y that fit both the equations 2x - 3y = 8 and 4x + 3y = -2, we can solve the system of equations. This can be done using the elimination method or the substitution method. Let's use the elimination method:

Multiplying the first equation by 4 and the second equation by 2, we get:

8x - 12y = 32

8x + 6y = -4

Subtracting the second equation from the first, we get:

-18y = 36

Dividing both sides by -18, we find that y = -2. Substituting this value back into the first equation, we can solve for x:

2x - 3(-2) = 8

2x + 6 = 8

2x = 2

x = 1

Therefore, the values of x and y that fit both equations are x = 1 and y = -2.

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Answer:

x=4 y=10

Step-by-step explanation:

-5y+8x=-18

5y+2x=58

so the first thing you do is cancel out the 5s then you add the 8+2 and -18+58 then you have 10x=40 then you divide both sides by ten. then you plug that four back into an equation so i did 5y+2(4)=58 then 5y+8=58 you subtract 8 from both sides and you have 5y=50 divide both sides by 5 and you get y=10 and that is how you do that

Answer:

$1,615.38

Step-by-step explanation:

Remember that

1 year=52 weeks

we know that

Carmen was hired as a salaried computer programmer for $42,000 per year

or

was hired as a salaried computer programmer for $42,000 per 52 weeks

using proportion

Find out how much is the salary per 2 weeks

[tex]\frac{42,000}{52}=\frac{x}{2}\\\\x=42,000*2/52\\\\x=\$1,615.38[/tex]

Answer

The answer is A or 0.20

Step-by-step explanation:

So if you add all the numbers up so (4+4+10+2+5+6+8+1) that would equal=40

8 is the number of girls with brown hair so I would divide 8 by 40

8/40=0.20

Hope this helps!

Answer:

0.20

There are 8 brown-haired girls, out of 40 students.

8

40

Answer:

correct option for first blank is 5/4 and for second blank is [tex]\frac{ 3i\sqrt{7}}{4}[/tex]

i.e m= [tex]\frac{5}{4}\pm\frac{ 3i\sqrt{7}}{4}[/tex]

Step-by-step explanation:

The given equation

[tex]m^2 - \frac {5m}{2} = \frac{-11}{2}[/tex]

and we have to find m= ______ ± ________

We can use quadratic formula to solve this question.

The above equation can be written as: [tex]m^2 - \frac {5m}{2} + \frac{11}{2} = 0[/tex]

and the formula used will be:

[tex]m= \frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

Putting values of a= 1, b= -5/2 and c= 11/2 and solving we get:[tex]m=\frac{-\frac{-5}{2}\pm\sqrt{{(\frac{-5}{2})}^2-4(1)(\frac{11}{2})}}{2(1)}\\\\m=\frac{\frac{5}{2}\pm\sqrt{(\frac{25}{4})-22}}{2}\\m=\frac{\frac{5}{2}\pm\sqrt{(\frac{-63}{4})}}{2}\\m= \frac{\frac{5}{2}}{2}\pm\frac{\sqrt{(\frac{-63}{4})}}{2}\\m= \frac{5}{4}\pm\frac{\sqrt{-63}}{4}[/tex]

Since there is - sign inside the √ so [tex]\sqrt{-1}[/tex] is equal to i and we have to divide [tex]\sqrt{63}[/tex] into its multiples such that the square root of one multiple is whole no so,

[tex]\sqrt{63}[/tex]  = [tex]\sqrt{9}* \sqrt{7}[/tex]=[tex]3* \sqrt{7}[/tex]

Putting value of [tex]\sqrt{63}[/tex] and [tex]\sqrt{-1}[/tex]

the value of m= [tex]\frac{5}{4}\pm\frac{ 3i\sqrt{7}}{4}[/tex]

so, correct option for first blank is 5/4 and for second blank is [tex]\frac{ 3i\sqrt{7}}{4}[/tex] .

Answer: -4

Step-by-step explanation:

3-9=-6

-6*5=-30

-30-1=-31

6*-31=-186

-186+2=-184

8-2=6

6*7=42

42+4=46.

-184/46=-4

Answer and Step-by-step explanation:

All you have to do is follow the order of operations.

We do everything in the first set of parenthesis, then we work our way out.

[tex]\frac{6(5(3-9)-1) + 2}{7(8-2)+4}[/tex]

First, we would subtract 9 from 3, and 2 from 8.

3 - 9 equals -6

8 - 2 equals 6

[tex]\frac{6(5(-6)-1) + 2}{7(6)+4}[/tex]

Now, we multiply those numbers.

5 times -6 equals -30

7 times 6 is 42

[tex]\frac{6(-30 -1) + 2}{42+4}[/tex]

Now, we simplify.

-30 minus 1 equals -31

42 + 4 equals 46

[tex]\frac{6(-31) + 2}{46}[/tex]

Multiply -31 by 6, then add 2 to the product.

-31 times 6 equals -186

-186 plus 2 equals -184

[tex]\frac{-184}{46}[/tex]

Finally, we divide.

-184 divided by 46 equals

-4

-4 is the answer to the expression.

I hope this helps!

#teamtrees #PAW (Plant And Water)

Answer:

The cake costs $30

Step-by-step explanation:

9(10)=90

120-90=30

Answer:

-282x

Step-by-step explanation:

− 6( 1 4 x - 2 3 x + 5 6 x)

− 6(47 x) = -282x

Answer:

a

Step-by-step explanation:

-6(

1

4

x -

2

3

x +

5

6

x)

-6(

3

12

x -

8

12

x +

10

12

x)

-6(

5

12

x)

-2

1

2

x

Answer:275 276

Step-by-step explanation:

the answer is m = 276

to get the answer you need to subtract 307 - 31 which equals 276

please give me brainliest ^_^

Answer:

y = -2

Step-by-step explanation:

As we move from the point (0, -2) to the point (4, -2), x increases by 4, but y stays the same.  Thus, the slope of this line is m = rise / run = 0/4 = 0.

Since the line passes through y = -2, that is the only descriptor needed for this line.  The slope need not appear in this equation, although we certainly could write y = 0x - 2.  Simplify this to y = -2.

Answer:

the answer is D.  1 1/48 cu.m

Step-by-step explanation:

V =  7/10 * 5/6 * 7/4

V = 245/240 cu.m

V = 49/48 cu.m

V = 1  1/48 cu. m

The answer is D I hope this helped

Answer:

Option F. [tex]y\geq x+b[/tex]

Step-by-step explanation:

we know that

The solution of the inequality of the graph is the shaded area above the solid line

step 1

Find the equation of the solid line

The intercepts are

The y-intercept is the point (0,b)

The x-intercept is the point (-b,0)

Find the slope

[tex]m=\frac{b-0}{0+b} =1[/tex]

The equation of the solid line is

[tex]y=x+b[/tex]

step 2

The solution of the inequality is the shaded area above the solid line

therefore

the inequality is equal to

[tex]y\geq x+b[/tex]

Answer:

B) P(green)=2/8(80)

Step-by-step explanation:

Answer:

B. P(green)=2/8(80)

Step-by-step explanation: