You have two friends and both were born in February of 2001. What is the probability that they were born exactly one day apart?

Answer:

hi the answer is 6⁵= 7776

Answer:

see below

Step-by-step explanation:

w = x+y/z

Subtract x from each side

w-x = x+y/z -x

w-x = y/z

Multiply each side by z

(w-x) *z = y/z*z

(w-x) *z = y

You can distribute the z if desired

wz -xz = y

Answer:

y = z(w - x)

Step-by-step explanation:

w = x + y/z

Subtract x from both sides

w - x = y/z

Multiply both sides by z

z(w - x) = y

Flip

y = z(w - x)

Answer:

Slope = 5

Step-by-step explanation:

y = mx + b

m = slope

Slope = 5

Answer:

5

Step-by-step explanation:

Since this is written in slop-intercept form (y = mx + b where m is slope and b is y-int.) the slope is 5.

Since a negative number's exponent is always positive, [(-4)⁴]⁵ will always be greater than -[(4¹²)³].

What is number system?

The Number System covers any of the several sets of symbols and usage guidelines for indicating numbers, which are used to indicate how many items are present in a particular group. Thus, the Roman numeral I, the Greek letter alpha, the first letter used as a numeral, the Hebrew letter aleph, or the modern number 1, which is nothing more than Hindu-Arabic in origin, can all be used to express the idea of "oneness."

A mathematical representation of the numbers in a given set is called a number system.

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Answer:

x ∈ 〈-∞,-5/2]∪[3,+∞〉

Step-by-step explanation:

2x²-x-15 ≥ 0

2x²+5x-6x-15 ≥ 0

x(2x+5)-3(2x+5) ≥ 0

(2x+5)(x-3) ≥ 0

so

2x+5 ≥ 0

x-3 ≥ 0

2x+5 ≤ 0

x-3 ≤ 0

solve the equation

x ≥ -5/2

x ≥ 3

x ≤ -5/2

x ≤ 3

x ∈ [3,+∞〉

x ∈ 〈-∞,-5/2]

so x ∈ 〈-∞,-5/2]∪[3,+∞〉

Answer:

y-8x+7=0

Step-by-step explanation:

slope(m)=8

using slope intercept form of equation of staright line we get

y=mx+b

y=8*x+b

y-8x=b ................  eq(i)

since the line include the point (2,9) it satisfies the euation,

here x=2 and y=9

equation: y-8x=b

9-8*2=b

9-16=-b

-7=b

substituting the value of b in eq(i) we get

y-8x=-7

y-8x+7=0   is a required equation of the line.

1.02 is the correct answer i hope this helped<3

Answer:

Discount is $2.50

Sale price is $22.50

Step-by-step explanation:

You can write 10% as 0.10.

Figure out the discount.

$25 x 0.10 = $2.50

The discount is $2.50

The new sale price is the original (normal) price minus the discount.

$25 - $2.50 = $22.50 is the new sale price

Answer:

314.2 cm²

Step-by-step explanation:

The formula for the area of a circle is πr², so since the radius is 10, just multiply 100 × π, which is 314.2, since the problem told you to use 3.142 for π.

The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent

To determine the correct statement, we need to know the properties of a parallelogram.

These properties includes;

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Answer:

15) he would grow 10 1/2 inches in a year

17) 16 and 7/8 buckets of paint

Step-by-step explanation:

Answer:

a= 0.84m

b= 7m

i tried my best but im not sure of the answer

Step-by-step explanation:

5x+3y=4.2

2x=3y

x = 4.2-3y/5

2*(4.2-3y/5) = 3y

=1.68/3 = 0.56

y=0.56

2x = 3*0.56

x = 0.84

a) The length of one belt (b) is 0.6 meters, or 60 centimeters.

b) The total length of 7 belts and 2 shoe laces is: 5 meters.

Let the length of one belt be "b" meters, and the length of one shoe lace be "s" meters.

a) Find the length of a belt:

According to the given information, the total length of 5 belts and 3 shoe laces is 4.2 meters. We can express this information as an equation:

5b + 3s = 4.2

b) Find the total length of 7 belts and 2 shoe laces:

The total length of 3 shoe laces is equal to the length of 2 belts. We can express this information as another equation:

3s = 2b

Now, we can use these two equations to solve for the values of "b" and "s."

Step 1: Solve the second equation for "s":

3s = 2b

Divide both sides by 3:

s = (2/3)b

Step 2: Substitute the value of "s" from the second equation into the first equation:

5b + 3((2/3)b) = 4.2

5b + 2b = 4.2

7b = 4.2

Step 3: Solve for "b":

b = 4.2 / 7

b = 0.6

Now that we have the value of "b," we can find the value of "s" using the second equation:

s = (2/3)b

s = (2/3) * 0.6

s = 0.4

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The domain of the exponential function 3ˣ is the set of all real numbers (or) (-∞, ∞).

Range is \(\begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right) > 0\:\\ \:\mathrm{Interval\:Notation:}&\:\left(0,\:\infty \:\right)\end{bmatrix}\)

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

We know that the domain of a function y = f(x) is the set of all x-values (inputs) where it can be computed and the range is the set of all y-values (outputs) of the function.

From the graphs of f(x) = 3ˣ, we can see that an exponential function can be computed at all values of x. Thus, the domain of an exponential function is the set of all real numbers (or) (-∞, ∞).

Thus, the domain is the set of all real numbers (or) (-∞, ∞).

Range is \(\begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right) > 0\:\\ \:\mathrm{Interval\:Notation:}&\:\left(0,\:\infty \:\right)\end{bmatrix}\)

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Answer:

option 4

Step-by-step explanation:

x² - 16 = 0 ( add 16 to both sides )

x² = 16 ( take square root of both sides )

\(\sqrt{x^2}\) = ± \(\sqrt{16}\)

x = ± 4

Answer:

1. p = -9

2. 4y + 16.

Step-by-step explanation:

1.

First, let's simplify the right-hand side of the equation:

11 + 1/4 (12p+4) = 11 + 3p + 1

= 3p + 12

Next, let's simplify the left-hand side of the equation:

1/4p + 3/4 (p-8) = 1/4p + 3/4p - 6

= 1p - 6

Now we can set the left-hand side equal to the right-hand side:

3p + 12 = 1p - 6

Subtract 1p from both sides:

2p + 12 = -6

Subtract 12 from both sides:

2p = -18

Divide by 2:

p = -9

Therefore, the solution to the equation is p = -9.

2.

First, let's simplify the terms inside each of the parentheses:

5 + 1/3 (9y - 12) = 5 + 3y - 4

= 3y + 1

5/6 (y+ 18) = 5/6y + 15

Now we can combine the simplified terms:

3y + 1 + 5/6y + 15 + 1/6y

= 4y + 16

Therefore, the solution to the equation is 4y + 16.

Using a system of linear equation, the cost of each shirt and pant is $9 and $11 respectively.

A system of linear equations is a collection of one or more linear equations that contain two or more variables. The goal of solving a system of linear equations is to find the values of the variables that satisfy all of the equations in the system.

A linear equation is an equation that can be written in the form of ax+by=c, where x and y are variables, and a, b, and c are coefficients.

In this problem, we need to define our variables and the solve the equations.

Let;

x + 2y = 31 ...eq(i)

3x + y = 38 ...eq(ii)

Solving both equations

x = 9, y = 11

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Answer:

(9 x 100) + (5 x 10) +  (0 x 1) + (9/10) + (5/100)

hope this helps brainliest <3

Answer:

Step-by-step explanation:

The total number of arrangements, we can simply add up the results from each case:

C(21,8) + C(5,1) C(21,7) 8 + C(5,2) C(21,6) 2

Now, We can solve this problem, we can break it down into three cases, based on the number of vowels included in the arrangement.

Hence, Here are the three cases:

Case 1: No vowels included: In this case, we need to select 8 letters from the 21 consonants in the alphabet.

This can be done with C(21,8) ways.

Case 2: One vowel included:

Here, we need to select one of the five vowels and then select 7 letters from the 21 consonants.

The vowel can be placed in any of the 8 positions, but once it is placed, the other vowels must be placed in alphabetical order.

Therefore, the number of arrangements in this case is, C(5,1) C(21,7) 8.

Case 3: Two vowels included: In this case, we need to select two of the five vowels, and then select 6 letters from the 21 consonants.

Again, the vowels must be placed in alphabetical order once they are selected.

However, we have two possible orders to place the vowels - either at the start or in the middle of the 8-letter arrangement.

Therefore, the number of arrangements in this case is C(5,2) C(21,6) 2.

So, The total number of arrangements, we can simply add up the results from each case:

C(21,8) + C(5,1) C(21,7) 8 + C(5,2) C(21,6) 2

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The value of x for the circle h with chords jk and lm intersecting at n inside the circle is 10.

The interseting chord theorem states that, when two chords in a circle intersect each other, then the product of their segment is equal.

For circle h in the given problem,

\(JN = 5, \\NK= 4, \\LN =2\),

The value of segment NM is x.  The figure of the circle h is attached below. In this figure, using the interseting chord theorem the chords can be given as,

LN×NM=JN×NK

2×x=5×4

x=20/2

x=10

Thus, the value of x for the circle h with chords jk and lm intersecting at n inside the circle is 10.

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Answer: b2 should be 5 i believe

Step-by-step explanation:

Answer:

B∨2 = 5

Step-by-step explanation:

Hope this helps!

Answer:

YES

Step-by-step explanation:

Find each length using the distance formula, \( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)

✔️Distance between A(-4, 2) and B(1, 4):

\( AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)

Let,

\( A(-4, 2) = (x_1, y_1) \)

\( B(1, 4) = (x_2, y_2) \)

\( AB = \sqrt{(1 - (-4))^2 + (4 - 2)^2} \)

\( AB = \sqrt{(5)^2 + (2)^2} \)

\( AB = \sqrt{25 + 4} \)

\( AB = \sqrt{29} \)

✔️Distance between C(2, -1) and D(4, 4):

\( CD = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)

Let,

\( C(2, -1) = (x_1, y_1) \)

\( D(4, 4) = (x_2, y_2) \)

\( CD = \sqrt{(4 - 2)^2 + (4 - (-1))^2} \)

\( CD = \sqrt{(2)^2 + (5)^2} \)

\( CD = \sqrt{4 + 25} \)

\( CD = \sqrt{29} \)

AB = CD = √29

Therefore, they both have the same length.

Answer:

(-1,-9) PLEASE MARK BRAINLIEST!!!!!

Step-by-step explanation:

k(-4,-6) , m(-7,-3)

-7+4=-3

-3+6=3

-4+3=-1

-6-3=-9

(-1,-9)

The coordinate of L is  (-1,-9) if the k is the midpoint of LM and k (-4,-6) and M (-7,-3).

It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).

\(\rm Area = |\dfrac{(x_1y_2-y_1x_2)+(x_2y_3-y_2x_3)....+(x_ny_1-y_nx_1)}{2}|\)

It is given that:

if k is the midpoint of LM and k (-4,-6) and m(-7,-3).

It is required to find the coordinate of L:

Using the mid-point theorem:

Let the coordinate of L is (x, y)

(x - 7)/2 = -4

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division.

x - 7 = -8

x = -8 + 7

x = -1

(y - 3)/2 = -6

y - 3 = -12

y = -12 + 3

y = -9

The coordinate of L is  (-1,-9)

Thus, the coordinate of L is  (-1,-9) if the k is the midpoint of LM and k (-4,-6) and M (-7,-3).

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Answer: 4c+32

Step-by-step explanation:

Answer:

Well, 6.94 - 4.99 = 1.95 also that divided by 0.65 = 3 So it is 3  pounds of bananas

Step-by-step explanation:

P.S can I have brainliest?

when a bond's coupon rate equals its market rate (YTM), it trades at par. When the coupon rate is greater than the market rate, it trades at a premium. And when the coupon rate is less than the market rate, it trades at a discount.

When a bond's coupon rate equals its market rate (YTM), it will trade at PAR. This means that the bond's price will be equal to its face value.

When a bond's coupon rate is greater than its market rate (YTM), it will trade at a PREMIUM. This means that investors are willing to pay more for the bond because its coupon payments are higher than the prevailing market interest rates.

When a bond's coupon rate is less than its market rate (YTM), it will trade at a DISCOUNT. This means that investors are not willing to pay the full face value for the bond because its coupon payments are lower than the prevailing market interest rates.

In the given example, the NY Telephone 71/4 bonds are trading at 100, which indicates that they are trading at par. Since the price is equal to the face value, it means that the coupon rate and the market rate (YTM) are the same.

In summary, when a bond's coupon rate equals its market rate (YTM), it trades at par. When the coupon rate is greater than the market rate, it trades at a premium. And when the coupon rate is less than the market rate, it trades at a discount.

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Answer:

the 2nd one lol

Step-by-step explanation:

Answer:

number 2ᕙ(＠°▽°＠)ᕗStep-by-step explanation:

Answer:

The answer is 9996

Step-by-step explanation:

Using the identity (x+a)(x+b) = x  ^2  +(a+b)x+ab

Writing 102 as 100+2 and 98 as 100−2

Hence (100+2)(100−2) = 100  ^2  +[2+(−2)]100+(2)(−2)

= 10000+(0)100−4

= 9996

The answer is 9996

Answer:

9996

Step-by-step explanation:

by using suitable identities ;

identity used here is :

\((a + b) \times (a - b) = (a {}^{2} - b {}^{2} )\)

..........................

Using undetermined coefficients, the general solution of the nonhomogeneous system is x(t) = c1e^t + c2e^(2t) + (3/4)t^2 + (3/2)t + 3/4.

To solve the given nonhomogeneous system x' = [1 3; 3 1]x + [-2t^2; t; 3], we can use the method of undetermined coefficients.

First, we find the solution of the associated homogeneous system, which is x_h(t). The characteristic equation is (λ - 2)(λ - 2) = 0, giving us a repeated eigenvalue of 2 with multiplicity 2. Therefore, x_h(t) = c1e^(2t) + c2te^(2t).

Next, we seek a particular solution, x_p(t), for the nonhomogeneous system. Since the forcing term contains t^2, t, and constants, we assume x_p(t) to be a polynomial of degree 2. Let x_p(t) = at^2 + bt + c.

Differentiating x_p(t), we find x_p'(t) = 2at + b, and substituting into the system, we get:

2a + b = -2t^2

3a + b = t

3a + 2b = 3

Solving this system of equations, we find a = 3/4, b = 3/2, and c = 3/4.

Therefore, the general solution of the nonhomogeneous system is x(t) = c1e^(2t) + c2te^(2t) + (3/4)t^2 + (3/2)t + 3/4, where c1 and c2 are arbitrary constants.

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