Solve please
Thank you!

Answer:

okay so its K,X (64,4)

Step-by-step explanation:

so we take any x's out that are the same or subtract them so that leaves us with only two x's and the rest are integers so we solve it from there

The exponential function f with base b is defined by f(x) = bˣ, b > 0, and b ≠ 1. Using interval notation, the domain of this function is (-∞, ∞) and the range is (0, ∞).

As an exponential function is defined for all real numbers, its domain is all real numbers, which can be written as (-∞, ∞), in interval notation.

Yet, the range of an exponential function is never zero.

This is due to the fact that the outcome of raising any real number to a positive power, as the exponential function does, will always be greater than 0. As a result, the exponential function with base b has a range of (0, ∞).

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Answer:

<QRP=42 degrees

Step-by-step explanation:

Since the angles are sequential, they are the same. This is because the transversal cuts across parallel lines, creating said sequential angles.

Answer:

42 degrees since QS&TV are parallel

Answer:

A) <

angle X is greater .

Step-by-step explanation:

really don't know how to...

Answer:

> im pretty sure mke sure you pay attention in class if im not correct

Step-by-step explanation:

.

Step-by-step explanation:

since sqrt(25)×sqrt(25) = 25, then x can be any number, because x = x in all cases. and then both sides of the equation are always equal, no matter what value we give x, as long as x is a factor in both sides.

sqrt(25)×x×sqrt(25) = 25x

is always true for every x.

if the question would be

sqrt(25)×x×sqrt(25) = 25

then the answer can only be x = 1. because for every other value of x the equality is destroyed.

The time taken by the rock to hit the ground is  3 seconds.

It is given in the question that:-

\(t=\frac{\sqrt{h} }{4}\)

Where,

t represents the time (in seconds) taken by the object to reach the ground, and

h represents the height from which the object is falling

We have to find the time taken by a rock to hit the ground after falling from a height of 125 feet.

Using the formula given in the question, we can write,

\(t=\frac{\sqrt{125} }{4}=\frac{5\sqrt{5} }{4}\)

We know that,

\(\sqrt{5}\) ≈ 2.23

Hence, we can write,

t ≈ (5*2.23)/4 ≈ 2.7875 ≈ 3 seconds (estimated to nearest integer)

Hence, it takes around 3 seconds for the rock to hit the ground after falling from a height of 125 feet.

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Answer:

62 degrees

Step-by-step explanation:

first we find angle C by subtracting 116 from 180

180-116

64 degrees is angle c

Sum of all three angles of a triangle is 180 degrees

(3x-13)+(2x+4)+64=180

5x-9+64=180

5x+55=180

    -55.  -55

5x=125

/5.  /5

x=25

Now we know x we can find angle A

3(25)-13

75-13

62 degrees

Hopes this helps please mark brainliest

numerele care apartin si lui a si lui b sunt:

15

a/b={3,9,21,27}

b/a={5,25}

b)

in total sunt 15 numere impare pana la 30(cazuri posibile)

numai 7 numere apartin lui AUB(cazuri favorabile)

probabilitatea= cazuri favorabile/cazuri posibile

probabilitatea=7/15

crown?

The given height of the rectangle is 10.910 m ± 0.0004 m

The given width of the rectangle is 5.747 m ± 0.004 m

To find the absolute uncertainty in the area of the rectangle, first find the area of the rectangle.

The area of the rectangle is given by;

Area (A) = length (l) × breadth (b)

We can use the given measurements to calculate the area of the rectangle as follows;

l = height

= 10.910 m ± 0.0004 m

b = width

= 5.747 m ± 0.004 m

Area (A) = l × b

= (10.910 m ± 0.0004 m) × (5.747 m ± 0.004 m)

Area (A) = (10.910 m × 5.747 m) ± [(0.0004 m/10.910 m + 0.004 m/5.747 m) × (10.910 m × 5.747 m)]

Area (A) = (62.63217 m²) ± (0.0004 m/10.910 m + 0.004 m/5.747 m) × (62.63217 m²)

Area (A) = (62.63217 m²) ± 0.0566 m²

Therefore, the absolute uncertainty in the area of the rectangle is 0.0566 m².

The fractional uncertainty in the area of the rectangle is given by;

Fractional uncertainty = absolute uncertainty/mean value

Fractional uncertainty = 0.0566 m²/62.63217 m²

Fractional uncertainty = 0.000903.

Therefore, the fractional uncertainty in the area of the rectangle is 0.000903.

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There are 648 integers from 1 through 999 that do not have any repeated digits.


To solve this problem, we can break it down into three cases:

Case 1: Single-digit numbers
There are 9 single-digit numbers (1, 2, 3, 4, 5, 6, 7, 8, 9), and all of them have no repeated digits.

Case 2: Two-digit numbers
To count the number of two-digit numbers without repeated digits, we can consider the first digit and second digit separately. For the first digit, we have 9 choices (excluding 0 and the digit chosen for the second digit). For the second digit, we have 9 choices (excluding the digit chosen for the first digit). Therefore, there are 9 x 9 = 81 two-digit numbers without repeated digits.

Case 3: Three-digit numbers
To count the number of three-digit numbers without repeated digits, we can again consider each digit separately. For the first digit, we have 9 choices (excluding 0). For the second digit, we have 9 choices (excluding the digit chosen for the first digit), and for the third digit, we have 8 choices (excluding the two digits already chosen). Therefore, there are 9 x 9 x 8 = 648 three-digit numbers without repeated digits.

Adding up the numbers from each case, we get a total of 9 + 81 + 648 = 738 numbers from 1 through 999 without repeated digits. However, we need to exclude the numbers from 100 to 199, 200 to 299, ..., 800 to 899, which each have a repeated digit (namely, the digit 1, 2, ..., or 8). There are 8 such blocks of 100 numbers, so we need to subtract 8 x 9 = 72 from our total count.

Therefore, the final answer is 738 - 72 = 666 integers from 1 through 999 that do not have any repeated digits.

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Statistics report that the average successful quitter is able to stop smoking after multiple attempts, usually between 8 to 10 times.  everyone's journey to quitting smoking is unique and may take more or fewer attempts to achieve success.

According to statistics, the average successful quitter is able to stop smoking after attempting to quit 6 to 30 times. This number varies due to individual factors and the methods used for quitting. Remember, persistence is key, and it is never too late to quit smoking for a healthier lifestyle.

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Answer:

ok

Step-by-step explanation:

Answer:

srry I needed the points hope u don\t mind

Step-by-step explanation:

If U and V are orthogonal then the magnitude of U times V will be U.V = 0 or |UxV| = uv.

U and V are two orthogonal vectors.

since the angle between them is θ = 90⁰

let u and v be the magnitudes of the vectors U and V respectively.

so first dot-product: If two non-zero vectors are orthogonal than the dot product of these vectors will be zero. Dot product of two vectors is expressed by:

U.V = uv cosθ

since these vectors are orthogonal so,

U.V = uv cos90⁰ = 0

And Cross-product: Magnitude Cross product of two orthogonal vectors will be equal to product of magnitude of these vectors.

|UxV| = uv sin θ

|UxV| = uv sin 90⁰ = uv

Therefore, U.V = 0, |UxV| = uv.

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The estimated cost of tuition in 2018 using this linear function model is $726,430

What is the linear function?

A linear function is a mathematical function that describes a straight line. The general form of a linear function is:

y = f(x) = mx + b

To estimate the cost of tuition in 2018 using a linear function model, we can use the two given data points to find the slope and y-intercept of the line.

First, we can find the slope of the line by using the formula:

m = (y2 - y1) / (x2 - x1)

Where (x1, y1) is the data point for 2002 and (x2, y2) is the data point for 2012.

Substituting the values, we get:

m = (8,240 - 4,790) / (2012 - 2002) = 3,450 / 10 = 345

Next, we can use one of the data points and the slope to find the y-intercept of the line. Let's use the data point for 2002:

y = mx + b

4,790 = 345 * 2002 + b

b = 4,790 - 345 * 2002 = -1,015,290

So, the equation of the line is y = 345x - 1,015,290

To estimate the cost of tuition in 2018, we can substitute x = 2018 into the equation:

y = 345(2018) - 1,015,290 = 726,430

Hence, the estimated cost of tuition in 2018 using this linear function model is $726,430

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(i) The equation for the tangent plane f(x, y) ≈ -7y + 8

(ii) The estimate (-1.21301) with the exact value (0.79)

(i) The partial derivatives of f(x, y), we differentiate f(x, y) with respect to each variable while treating the other variable as a constant.

The partial derivative with respect to x, denoted as fa (the subscript "a" represents the partial derivative with respect to x), is found by differentiating the terms involving x and treating y as a constant:

fa = d/dx (1 - 1/4 x² - 3y³ + xy)

= 0 - 1/4 × 2x - 0 + y

= -1/2 x + y

Similarly, the partial derivative with respect to y, denoted as fy, is found by differentiating the terms involving y and treating x as a constant

fy = d/dy (1 - 1/4 x² - 3y³ + xy)

= 0 - 0 - 9y² + x

= x - 9y²

To compute the equation for the tangent plane to f at the point (2, 1), we use the partial derivatives evaluated at this point

fa(2, 1) = -1/2 × 2 + 1 = 0

fy(2, 1) = 2 - 9 × 1² = -7

The equation for the tangent plane is given by:

f(x, y) ≈ f(2, 1) + fa(2, 1)(x - 2) + fy(2, 1)(y - 1)

Substituting the values, we have:

f(x, y) ≈ 1 + 0(x - 2) - 7(y - 1)

≈ 1 - 7(y - 1)

Simplifying, we get the equation for the tangent plane:

f(x, y) ≈ -7y + 8

(ii) To estimate the value of f(2.04, 1.03) using the equation for the tangent plane, we substitute x = 2.04 and y = 1.03:

f(2.04, 1.03) ≈ -7(1.03) + 8

≈ -7.21 + 8

≈ 0.79

To compare this estimate to the exact value, we evaluate f(2.04, 1.03) using the original function:

f(2.04, 1.03) = 1 - 1/4 (2.04)² - 3(1.03)³ + (2.04)(1.03)

≈ 1 - 1/4 (4.1616) - 3(1.09327) + (2.1072)

≈ 1 - 1.0404 - 3.27981 + 2.1072

≈ -1.21301

Comparing the estimate (-1.21301) with the exact value (0.79), we see that they differ significantly. The values do not agree to any decimal places.

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See below for the solution to each question

From the graph, we can see that:

V(x) have a positive value from x > 0 to x < 5.5

When x = 0 and ≥ 5.5, the values of V(x) are either 0 or negative

Hence, the reasonable domain of V(x) is 0 < x < 5.5

From the graph, the maximum value of V(x) is at

V(2) = 182

Hence, the approximate value of x that gives the maximum volume is 2

This is the interval where V(x) increase as x increase

From the graph, V(x) increase from x > 0 to x = 2

Hence, the approximate values of x where the volume increases are 0 < x ≤ 2

The other function is

B(x) = 140

So, the point of intersection represent where the volume is 140

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The standard form of the equation of the parabola with the given characteristic(s) and vertex at the origin is:

\(y=-\frac{1}{3}x^{2}\)

What is the equation of the parabola with a vertex at the origin and a vertical axis, which passes through the point (-3, -3)?

The equation of the parabola in standard form is \(y=-\frac{1}{3}x^{2}\). This equation represents a parabola with a vertex at the origin (0, 0) and a vertical axis. Additionally, it passes through the point (-3, -3), satisfying the given characteristics.

To find the standard form of the equation of a parabola with a vertex at the origin and a vertical axis, we can use the general equation of a parabola:

y=\(a(x-h)^{2}\)+k

where (h, k) = the vertex of the parabola.

Since the vertex is at the origin , the equation becomes:

y=a\(x^{2}\)

Now, we need to find the value of 'a' using the given point on the parabola (-3, -3).

These values are satisfied the equation, we have:

\(-3=a(-3)^2\)

Simplifying:

−3=9a

Dividing both sides by 9:

\(a=-\frac{1}{3}\)

Therefore, the standard form of the equation of the parabola with the given characteristic(s) and vertex at the origin is:

\(y=-\frac{1}{3}x^{2}\)

Hence, the equation  in standard form is:\(y=-\frac{1}{3}x^{2}\)  

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Answer:

15 female students in her sample

Step-by-step explanation:

134/1065 x 120 = 15.1

Answer:

absolute value function

Step-by-step explanation:

hope this helps

Answer:

Period = 8π

Phase shift = 2π/3

Amplitude = 1/2

Vertical shift = 2

Step-by-step explanation:

y = A sin((2π/T)θ − B) + C

where A is the amplitude,

T is the period,

B is the phase shift,

and C is the vertical shift.

y = ½ sin(¼θ − 2π/3) + 2

So A = 1/2, T = 8π, B = 2π/3, and C = 2.

Answer:

$324

Step-by-step explanation:

it earn 8% interest each year how much at the end of year 1,

to calculate this you multiply 300 by 108% = 300 x 1.08 = 324

Answer:

Area = 50 cm²

Step-by-step explanation:

Area of a trapezium ABDE = ½(a + b)h

where,

a = BD = 2.5 cm

b = AE = 7.5 cm

h = DE = ?

We need to find DE ti be able to calculate the area.

DE = CE - CD

DE = CE - 5

Since ∆ACE is similar to ∆BCD, therefore:

AE/BD = CE/CD

Plug in the values

7.5/2.5 = CE/5

Cross multiply

CE*2.5 = 7.5*5

CE*2.5 = 37.5

Divide both side any 2.5

CE = 37.5/2.5

CE = 15

Thus, DE = CE - 5 = 15 - 5

DE = 10

✅Area of trapezium = ½(BD + AE)DE

= ½(2.5 + 7.5)*10

= ½(10)10

= 50 cm²

The sum of angle in a triangle is 180°

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC.

The sum of angle A, B and C is 180 i.e A+B +C = 180°

Also a triangle is a 3 sided polygon. The sum of of angle in a polygon is( n-2)180

How do we prove that the sum of angle in a triangle is 180°?

Since triangle is 3 sided, n= 3, because n denote the number if sides

therefore the sum of angle = (n-2) 180 = (3-2)×180

= 180°

therefore the sum of angle In a triangle is 180°

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Answer:

y = 2.3x

Step-by-step explanation:

y = kx  

52.9 = 23x

52.9 ÷ 23 = x

x = 2.3

Answer:

a) \(\frac{dA}{dt} = 48 \pi\frac{in^{2}}{min}\)

b) \( \frac{dh}{dt} = - \frac{13}{3} \frac{in}{min}\)

c) \(\frac{dh}{dt} = - 2\frac{h}{r} \frac {dr}{dt}\)

Step-by-step explanation:

In order to solve this problem, we must first picture a cylinder of height h and radius r (see attached picture).

a) So, in order to find the rate at which the area of the circular surface of the dough is increasing with respect to time, we need to start by using the are formula for a circle:

\(A=\pi r^{2}\)

So, to find the rate of change of the area, we can now take the derivative of this formula with respect to the radius r:

\(dA = \pi(2) r dr\)

and divide both sides into dt so we get:

\(\frac{dA}{dr} = 2\pi r \frac{dr}{dt}\)

and now we can substitute:

\(\frac{dA}{dr} = 2\pi(12in)(2\frac{in}{min})\)

\(\frac{dA}{dt} = 48\pi\frac{in^{2}}{min}\)

b) In order to solve part b, we can start with the formula for the volume:

\(V=\pi r^{2} h\)

and solve the equation for h, so we get:

\(h=\frac{V}{\pi r^{2}}\)

So now we can rewrite the equation so we get:

\(h=\frac{V}{\pi}r^{-2}\)

and now we can take its derivative so we get:

\(dh=\frac{V}{\pi} (-2) r^{-3} dr\)

we can rewrite the derivative so we get:

\(\frac{dh}{dt}=-2\frac{V}{\pi r^{3}}\frac{dr}{dt}\)

we can take the original volume formula and substitute it into our current derivative, so we get:

\(\frac{dh}{dt}= -2\frac{\pi r^{2} h}{\pi r^{3}} \frac{dr}{dt}\)

and simplify:

\(\frac{dh}{dt} =-2\frac{h}{r} \frac{dr}{dt}\)

so now we can go ahead and substitute the values  provided by the problem:

\(\frac{dh}{dt} =-2\frac{13in}{12in} (2\frac{in}{min})\)

Which simplifies to:

\( \frac{dh}{dt} = - \frac{13}{3} \frac{in}{min}\)

c)

Part c was explained as part of part b where we got the expression for the rate of change of the height of the dough with respect to the radius of the dough in terms of the height h and the radius r:

\(\frac{dh}{dt} =-2\frac{h}{r} \frac{dr}{dt}\)

The rate of change of the height of the pizza with respect to (w.r.t.) time

can be found given that the volume of the pizza is constant.

Reasons:

The height of the dough when t = k is 13 inches

Radius of the dough = 12 inches

Rate at which the radius of the dough is increasing, \(\dfrac{dr}{dt}\) = 2 in.²/min

(a) Required: The rate of increase of the surface area with time

Solution:

The circular surface area, A = π·r²

By chain rule of differentiation, we have;

\(\dfrac{dA}{dt} = \mathbf{\dfrac{dA}{dr} \times \dfrac{dr}{dt}}\)

\(\dfrac{dA}{dt} = \dfrac{d ( \pi \cdot r^2)}{dr} \times \dfrac{dr}{dt} = 2 \cdot \pi \times 2 = 4 \cdot \pi\)

The rate of increase of the surface area with time, \(\mathbf{\dfrac{dA}{dt}}\) = 4·π in.²/min.

(b) Required: The rate of decrease of the height with respect to time

The volume of the pizza is constant, given by; V = π·r² ·h

Therefore;

\(h = \mathbf{ \dfrac{V}{\pi \cdot r^2}}\)

\(\dfrac{dh}{dt} = \dfrac{d \left( \dfrac{V}{\pi \cdot r^2} \right)}{dr} \times \dfrac{dr}{dt} = \dfrac{-2 \cdot V}{\pi \cdot r^3} = \dfrac{-2 \cdot \pi \cdot r^2 \cdot h}{\pi \cdot r^3} \times \dfrac{dr}{dt} = \mathbf{-2 \cdot \dfrac{h}{r} \times \dfrac{dr}{dt}}\)

\(\dfrac{dh}{dt} = -2 \cdot \dfrac{h}{r} \times \dfrac{dr}{dt} = -2 \times \dfrac{13}{12} \times 2 = \dfrac{13}{3} = 4. \overline 3\)

The rate at which the height of the dough is decreasing, \(\mathbf{\dfrac{dh}{dt}}\)= \(\underline{4.\overline 3 \ in./min}\)

(c) Required:]The expression for the rate of change the height of the dough with respect to the radius of the cone.

Solution:

\(\dfrac{dh}{dr} = \dfrac{d \left( \dfrac{V}{\pi \cdot r^2} \right)}{dr} = \dfrac{-2 \cdot V}{\pi \cdot r^3} = \dfrac{-2 \cdot \pi \cdot r^2 \cdot h}{\pi \cdot r^3} = -2 \cdot \dfrac{h}{r}\)

\(\dfrac{dh}{dr} = \mathbf{ -2 \cdot \dfrac{h}{r}}\)

The rate of change the height of the dough w.r.t. the radius is \(\underline{\dfrac{dh}{dr} = -2 \cdot \dfrac{h}{r}}\)

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Therefore, the distance between the two points is 13 units.

Distance is the measure of the length between two points or objects. It is the amount of space between two points, or the length of a path traveled by an object. Distance is typically measured in units such as meters, kilometers, miles, feet, or yards. In physics, distance is often used to describe the separation between two objects in space, and it is an important factor in many scientific calculations, such as speed, velocity,

and acceleration.

by the question.

Here is the plot of the two points on the coordinate plane:

The first point (-8, 7) is plotted 8 units to the left of the y-axis and 7 units above the x-axis. The second point (5, 7) is plotted 5 units to the right of the y-axis and 7 units above the x-axis.

To find the distance between these two points, we can use the distance formula:

\(distance =\sqrt((x2 - x1)^2 + (y2 - y1)^2)\)

where?\((x_1, y_1)\)and \((x_2, y_2)\) are the coordinates of the two points.

Plugging in the coordinates, we get:

\(distance = \sqrt((5 - (-8))^2 + (7 - 7)^2)\)

        = \(\sqrt((13)^2 + (0)^2)\)

        = \(\sqrt(169)\)

        = 13

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Answer:

the equation is x^2-16

Step-by-step explanation:

sum:0=+4-4

product:-16=+4*-4

(x-4)(x+4)

when you open the brackets the equation you will obtain will be x^2-16

The two integers whose sum is 0 and product is -16 are 4 and -4 and this can be determined by using the arithmetic operations.

Given :

Two integers whose sum is 0 and the product is -16.

The following steps can be used to determine the two unknown integers:

Step 1 - Let the two unknown integers be 'a' and 'b'.

Step 2 - According to the given data, the sum of two integers is 0 that is:

a + b = 0

a = -b  --- (1)

Step 3 - Also it is given that the product of the two integers is -16 that is:

ab = -16    --- (2)

Step 4 - Substitute the value of 'a' in equation (2).

\(\rm b^2= 16\)

b = 4

Step 5 - Substitute the value of b in equation (1).

a = -4

The two integers whose sum is 0 and product is -16 are 4 and -4.

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When testing the goodness of fit for the logistic regression model, if the obtained chi-square is less than the critical value, one would " Accept the null hypothesis". The correct option is c.

In the goodness of fit test for the logistic regression model, the null hypothesis states that there is no significant difference between the observed and expected values. If the obtained chi-square value is less than the critical value, it means that the difference between the observed and expected values is not significant, and hence, we fail to reject the null hypothesis. Therefore, we accept the null hypothesis and conclude that the model fits the data well. On the other hand, if the obtained chi-square value is greater than the critical value, we reject the null hypothesis and conclude that the model does not fit the data well.

The correct option is c.

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