There are 10 fruits in a basket and 5 of them are apples. Write the ratio in simplest form.

Depending on whether the movement is along the x-axis or the y-axis, the ordered pair would be either (0.25, 0) or (0, 0.25).

To plot an ordered pair starting from the origin and moving 0.25, we need both an x-coordinate and a y-coordinate.

We are starting from the origin (0, 0), we can apply the movement of 0.25 to either the x-axis or the y-axis.

If we move 0.25 units on the x-axis, the x-coordinate of the ordered pair would be 0.25, and the y-coordinate would remain 0 since there is no movement on the y-axis. Therefore, the ordered pair would be (0.25, 0).

Similarly, if we move 0.25 units on the y-axis, the x-coordinate would remain 0 since there is no movement on the x-axis, and the y-coordinate of the ordered pair would be 0.25. In this case, the ordered pair would be (0, 0.25).

So, depending on whether the movement is along the x-axis or the y-axis, the ordered pair would be either (0.25, 0) or (0, 0.25).

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Answer:

Step-by-step explanation:

y=(x+5)(x+4)=x²+5x+4x+20=x²+9x+20=x²+9x+(9/2)²-(9/2)²+20

\(y=(x+\frac{9}{2} )^2-\frac{81}{4} +20\\y=(x+\frac{9}{2})^2-\frac{81}{4}+\frac{80}{4}\\y=(x+\frac{9}{2})^2-\frac{1}{4}\)

vertex is (9/2,-1/4) or(4.5,-0.25)

Answer:

25? somewhere around that

Step-by-step explanation:

Answer:

when the imposter is sus

Answer:

10 km/h

228 km/h

Step-by-step explanation:

We are told the speed of one of the buses. Since we know that both buses only travelled 7 hours, we can multiply the speed of the first bus by 7 hours to get its total distance

10 km/h * 7 hours = 70 km

Now we subtract this amount from the total distance that the two buses are seperated initially

1666 / 70 = 1596 km

Finally, we can divide this remaining distance by the 7 hours that the second bus travelled to get the second buses rate of speed.

1596 / 7 = 228 km/h

**The total distance between both buses is probably wrong and may be 166km and not 1666 as the question states**

The value of dy/dx is 3.

In maths, there is a branch to study and that is calculus. The differentiation is one such part of the calculus that can be defined as the technique of locating the derivatives of a particular function. It is denoted by dy/dx, and the rate of change of variable x with respect to variable y is designated as dy/dx. Differentiation follows a certain list of formulas for its execution.

Finding the value of dy/dx.

∴y=3x [given above]

⇒y=3x

Now, differentiating both sides, we have

dy/dx= 3 x^0 [∵ for y, differentiation of the rate of change of variable x with respect to y]

[formula used in right-hand side is d/dx=nx^(n-1), n is an integer]

⇒dy/dx=3 x^0

⇒dy/dx=3  [∵x^0=1(law of indices)]

⇒dy/dx=3

Thus, the value of dy/dx is 6(x-1).

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i) cost of oil change = $29.99

ii) Balance on December 1 = $252.009

iii) Difference between the two balance = $85.79

According to the question we have been that

           Total balance on November 1 = $337.88

i) We need to find how much did the oil change cost.

  For that we will first calculate how much balance was left after depositing after pay check.

Balance after spending in groceries= $337.88 - $ 42.59 = $295.29

Balance after depositing from savings account = $295.29 + $125.00 = $420.29

Balance after spending in electric bill = $420.29 - $35.67 = $384.62

Balance after depositing from paycheck = $415.00 + $384.62 = $799.62

Therefore, Cost of oil changing = $799.62 - $769.63 = $29.99

ii) For the balance on December 1 after rent had paid, we will first calculate the balance after spending for birthday present.

Balance after spending for birthday present = $769.63 - $17.54 = $752.09

Therefore the balance on December 1 = $752.09 - $500.00 = $252.09

iii) Difference in the two balance is

                                    = balance on November 1 - Balance on December 1

                                    = $337.88 - $252.09

                                    = $85.79

Hence the difference in the two balances is $85.79

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Answer:

It is not true that m/D = m/A.

In geometry, two lines are parallel if they are coplanar (lie in the same plane) and do not intersect. If two lines are parallel, then the measures of the corresponding angles (angles that lie on the same side of the transversal and between the same two lines) are equal. Therefore, if segment AD is parallel to segment BC and segment AB is parallel to segment CD, then the measure of angle ZD is equal to the measure of angle ZA, or m/D = m/A.

The other statements about the measure of angle ZD are true. If angle ZD is equal to angle ZA, then the sum of the measures of angles ZD and ZA is equal to 180 degrees. Additionally, if angle ZD is equal to angle ZA, then the measure of angle ZD is equal to the measure of angle ZB.

Therefore, the statement that is NOT true about the measure of angle ZD is:

D. m/D = m/A

Step-by-step explanation:

It is not true that m/D = m/A.

In geometry, two lines are parallel if they are coplanar (lie in the same plane) and do not intersect. If two lines are parallel, then the measures of the corresponding angles (angles that lie on the same side of the transversal and between the same two lines) are equal. Therefore, if segment AD is parallel to segment BC and segment AB is parallel to segment CD, then the measure of angle ZD is equal to the measure of angle ZA, or m/D = m/A.

The other statements about the measure of angle ZD are true. If angle ZD is equal to angle ZA, then the sum of the measures of angles ZD and ZA is equal to 180 degrees. Additionally, if angle ZD is equal to angle ZA, then the measure of angle ZD is equal to the measure of angle ZB.

Therefore, the statement that is NOT true about the measure of angle ZD is:

D. m/D = m/A

The vertical distance through which the car rises is 16.7 m

"It is a triangle whose one of the angle is 90°."

In right triangle, for angle 'x',

sin(x) = (opposite side of angle x)/hypotenuse

For given example,

Consider the following figure for given situation.

A car travels 120 m along AC.

ΔABC is right triangle with hypotenuse AC.

∠C = 8°

Consider sine of angle C,

\(\Rightarrow sin(C)=\frac{AB}{AC}\\\\\Rightarrow sin(8^{\circ})=\frac{AB}{120}\\\\ \Rightarrow 0.1392=\frac{AB}{120}\\\\ \Rightarrow AB = 0.1392\times 120\\\\\Rightarrow AB = 16.70~ m\)

Therefore, the vertical distance through which the car rises is 16.7 m

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Answer:

<

Step-by-step explanation:

Answer:

A. d = 0.75m.

Step-by-step explanation:

If, for 3 1/2 minutes (3.5 minutes) the car travels 2 5/8 miles (2.625 miles),

Then in m minutes the car will travel d miles

d = (2.625*m)÷ 3.5

d = 0.75m

Which is option A

The solution of the given expression \(\sqrt{7xy^7}\sqrt{21x^5y^5}\)will be 7x³y⁶√3.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The given expression will be solved as follows:-

E =  \(\sqrt{7xy^7}\sqrt{21x^5y^5}\)

E = \(\sqrt{7\times 7\times 3\times xy^7\times x^5y^5\)

E=\(\sqrt{7\times 7\times 3\times x^6y^{12}\)

E = 7x³y⁶√3.

Therefore the solution of the given expression \(\sqrt{7xy^7}\sqrt{21x^5y^5}\)will be 7x³y⁶√3.

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Answer:

It has only one solution.

Answer:

1 solution to your question

Answer:

y = w/(h - 5c^3)

Step-by-step explanation:

w = yh - 5yc^3

factorise out y:

w = y(h - 5c^3)

rearrange:

y = w/(h - 5c^3)

I think this is correct.

Answer:

gravity

i think the question is not informated

Step-by-step explanation:

Answer: a 1 in 6

Step-by-step explanation:

words, you have a 1 in 6 chance (or a 1 out of 6 chance) of rolling a 1 when you roll the die. possibilities. Ex) There are six outcomes for rolling a die: 1, 2, 3, 4, 5, and 6.

Answer:

8.99.19 × 10^12 or

8991900000000

Step-by-step explanation:

9000000000000 (12 zeros)

Minus

8100000000 (8 zeros, the 1 takes the 9th decimal place)

Equals = 8991900000000

The four basic logic gates are AND, OR, NOT, and XOR.

1. AND Gate: This gate takes two or more inputs and produces an output of 1 (true) only if all the inputs are 1 (true).
2. OR Gate: This gate takes two or more inputs and produces an output of 1 (true) if at least one of the inputs is 1 (true).
3. NOT Gate (Inverter): This gate has only one input and inverts it, producing an output of 1 (true) if the input is 0 (false) and vice versa.
4. XOR Gate (Exclusive OR): This gate takes two inputs and produces an output of 1 (true) if either, but not both, of the inputs are 1 (true).

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Answer:

C

Step-by-step explanation:

The vertical line test determines that more than 1 point falls on the vertical line making the graph NOT a function

The complete solution is:

∫4\(sin^{-1}(2x) dx = sin^{-1}(2x)\) x 4x + √(1 - (2x)²) + C, where C is the constant of integration.

We have,

\(u = sin^{-1)}(2x)\)

dv = 4 dx

Taking the derivative of u, we get:

du/dx = 1 / √(1 - (2x)²)

Integrating dv, we get:

v = ∫4 dx = 4x

Now, applying the integration by parts formula:

∫4 \(sin^{-1}(2x) dx\) = uv - ∫vdu

Plugging in the values, we have:

∫4 \(sin^{-})(2x) dx = sin^{-1}(2x) \times\) 4x - ∫(4x / √(1 - (2x)²)) dx

At this point, we need to evaluate the integral on the right side.

Let's perform a substitution to simplify it:

Let u = 1 - (2x)²

Differentiating u with respect to x, we get:

du/dx = -4(2x) = -8x

Solving for dx, we have:

dx = -du / (8x)

Substituting these values, the integral becomes:

∫(4x / √(1 - (2x)²)) dx = ∫(-4x / (8x x √u)) (-du / (8x))

Simplifying, we get:

∫(4x / √(1 - (2x)²)) dx = ∫(-1 / (2√u)) du

= -∫(1 / (2√u)) du

= -√u + C

Substituting back the value of u, we have:

∫(4x / √(1 - (2x)²)) dx = -√(1 - (2x)²) + C

Therefore,

The complete solution is:

∫4\(sin^{-1}(2x) dx = sin^{-1}(2x)\) x 4x + √(1 - (2x)²) + C, where C is the constant of integration.

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The complete question:

a) Evaluate the integral ∫4 sin^(-1)(2x) dx using integration by parts.

Answer:

X is an acute angle, which means it is less than 90*, so it is probably 45*

Step-by-step explanation:

I was confused at first but then, I’m just like, I can solve this!

Answer:

120°.

Step-by-step explanation:

If extend the line by the 50° and 90°, you form a triangle. They're alternate interior angles so the angle outside of the triangle at the left of the bottomost line is congruent to 150°. You then can subtract that from 180° to get the angle inside the triangle that's next to it, which gives you 30°. The 90° is also on the same like as one of the angles inside of the triangle, meaning together the two should equal 180°, making the angle inside the triangle 90° also. You then have 2 of the triangle's angles and can subtract the sum of them from 180° to get the 3rd angle of it (60°). That 3rd angle is on the same line to x, so 180°-60° should give you x, making x 120°, I think.

Answer:

The student did not distribute properly to get A= P+Prt. The equation can be fixed by putting a factor of P in the denominator: r=(A-P)/Pt

Step-by-step explanation:

just did it

There is an error in step 2 where distributive property was not followed.

Simple Interest (S.I.) is the method of calculating the interest amount for a particular principal amount of money at some rate of interest.

Steps taken by the student to solve the formula of the simple interest for the values of '',

Step 1 : A = P( 1 +rt)

Step 2 : A = P + rt

Step 3 : A - p = rt

Step 4 : r = (A - P)/ t

There is an error in step 2 where distributive property was not followed.

Correct steps should be,

Step 1 : A = P( 1 +rt)

Step 2 : A = P + Prt [By distributive property]

Step 3 : A - P = Prt

Step 4 : r = (A-P)/Pt

Therefore, error was made in step 2.

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the marginal distribution of Z is fz(z) = (z + 1) * p^2 * (1 - p)^(z-2).To find the marginal distribution of Z, we need to calculate fz(z) = P(Z = z).

Since X and Y are independent variables following the Geometric(p) distribution, we know that their probability mass functions (pmfs) are given by:

fx(x) = (1 - p)^(x-1) * p, for x = 1, 2, 3, ...
fy(y) = (1 - p)^(y-1) * p, for y = 1, 2, 3, ...

To find fz(z), we can consider the possible combinations of x and y that sum up to z:

fz(z) = P(Z = z) = P(X+Y = z) = Σ P(X = x, Y = z-x) for all valid x

Since X and Y are independent, we can rewrite the joint probability as a product:

fz(z) = Σ [fx(x) * fy(z-x)] for all valid x

Substituting the pmfs of X and Y, we have:

fz(z) = Σ [(1 - p)^(x-1) * p * (1 - p)^(z-x-1) * p] for all valid x

Simplifying, we get:

fz(z) = (1 - p)^(z-2) * p^2 * Σ 1 for all valid x

Since Σ 1 for all valid x is equal to z+1 (the number of valid combinations), we can rewrite the expression as:

fz(z) = (z + 1) * p^2 * (1 - p)^(z-2)

Therefore, the marginal distribution of Z is fz(z) = (z + 1) * p^2 * (1 - p)^(z-2).

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Answer:

The random process described is a symmetrical random walk.

A symmetrical random walk is a mathematical model that represents a series of steps taken in either a forward (+1) or backward (-1) direction, each with equal probability. Starting from point zero, the process involves taking a certain number of steps. The outcome at each step is independent of previous steps, making it a stochastic process. The key characteristic of a symmetrical random walk is that, on average, the process remains centered around its starting point. This means that over a large number of steps, the expected displacement from the starting point approaches zero.

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Answer:

14x+13y-15

Step-by-step explanation:

This is pretty simple. When it asks to combine terms, simply add up all of the same terms. So, all the numbers with x, all with y, and all with no value. For example, for x, we simply add up 5x+8x+x, with x equaling 1.

Hope this helps!

Answer:

14x+13y−15

Step-by-step explanation:

\(5x+3y+8x+x+10y-15 \\ 5x + 8x + x + 10y + 3y - 15 \\ 13x + x + 13y - 15 \\ 14x+13y−15 \)

the answer is volume

V = ( 4/3 ) × π × r^3

V = ( 4/3 ) × π × ( 6/2 )^3

V = ( 4/3 ) × π × ( 3 )^3

V = ( 4/3 ) × 3 × 9 × π

V = 4 × 9 × π

V = 36 π m^3

Thus the correct answer is option D .

74=p×38 is the percent equation that can be used to solve the following problem 38 What's is the percent of 74

To find the percent of a number, we need to divide the part (38) by the whole (74) and then multiply by 100 to convert the decimal to a percentage.

So the percent equation is:

38/74 = p/100

We can cross-multiply to solve for p:

74p = 38 × 100

p = (38 × 100) / 74

p = 51.35

Therefore, the percent of 38 in 74 is approximately 51.35%, option B is correct

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