Which of the following is the value or PQ

Answer:

She will make 125 dollars

Step-by-step explanation:

First figure out how many hours are in between 8 AM and 6PM

Second multiply that number by the salary she makes per hour. In this case its 12.50*10

Lastly Get the answer and add a dollar sign :D

Answer:

1 milimiter

Step-by-step explanation:

that the answer

Answer:

juicy no no square

Step-by-step explanation:

The value of x = z = 73 degrees and y = 107degrees

3) Geometry is a branch of mathematics that deals with the measurement of lines and angles.

From the diagram shown, we can see that the two lines intersect at a point. The following is therefore true:

The sum of z and 107 is supplementary. Hence;

Also, the sum of x and y is also supplementary. This shows that:

From the calculations, hence x = z = 73 degrees and y = 107degrees

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Answer:

? = 92°

Step-by-step explanation:

the chord- chord angle ? is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, that is

? = \(\frac{1}{2}\) (LM + AK) = \(\frac{1}{2}\) (120 + 64)° = \(\frac{1}{2}\) × 184° = 92°

Answer:

\(H_o :\) Satisfaction and Gender are independent of one another

\(H_a :\) Satisfaction and Gender are dependent of one another

Step-by-step explanation:

Given

Parameters: Meal satisfaction and Gender

Test: If both parameters are dependent

Required

The appropriate hypotheses

To do this, we set the null hypothesis to independence of both parameters

i.e.

\(H_o :\) Satisfaction and Gender are independent of one another

The alternate hypothesis will be the opposite, i.e. dependence of both parameters

i.e.

\(H_a :\) Satisfaction and Gender are dependent of one another

Answer:

a = b = 3√2

Step-by-step explanation:

Use trigonometry:

\( \sin(45°) = \frac{a}{6} \)

Cross-multiply to find a:

\(a = 6 \times \sin(45°) = 6 \times \frac{ \sqrt{2} }{2} = \frac{6 \sqrt{2} }{2} = 3 \sqrt{2} \)

Use the Pythagorean theorem to find b:

\( {b}^{2} = {6}^{2} - {a}^{2} \)

\( {b}^{2} = {6}^{2} - ( {3 \sqrt{2}) }^{2} = 36 - 9 \times 2 = 36 - 18 = 18\)

\(b > 0\)

\(b = \sqrt{18} = 3 \sqrt{2} \)

An example of a boundary value problem is the Sturm-Liouville problem, which entails determining the eigenvalues and eigenfunctions of a differential equation that complies with specific boundary requirements.

The general formula for the Sturm-Liouville problem's solution in x is y(x) = a * f(x) + b * g(x), where a and b are constants and f(x) and g(x) are the differential equation's eigenfunctions. When the differential equation and boundary conditions are solved, the eigenvalues and eigenfunctions are discovered.

For instance, if the differential equation has the following form: -y" + q(x)y = lambda* w(x)y where y is the dependent variable, y" is the second derivative of y, q(x) and w(x) are functions of x, and lambda is the eigenvalue, the boundary conditions can be of the following

form: where L is the length of the interval on which the differential equation is defined, y(0) = 0, and y(L) = 0.

The general solution in x can be expressed in the form: y(x) = a * f(x) + b * g(x), where a and b are constants and f(x) and g(x) are the eigenfunctions of the differential equation. The eigenvalues and eigenfunctions can be discovered by solving this differential equation and the boundary conditions.

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Unit rate is the conversion of one unit to another unit with its standard conversion.

The amount of soda left after the party is 19 liters 222 ml.

It is the conversion of one unit to another unit with its standard conversion.

Example:

1 minute = 60 seconds

1 km = 100 m

1 m = 100 cm

We have,

Amount of soda = 22 liters

Amount of soda bought = 2 liters 13 ml

Amount of soda drank with family = 765 ml

1 liter = 1000 ml

22 l = 22000 ml

2l = 2000 ml

The amount of soda left after the party.

= 22000 ml - 2000 ml - 13 ml  - 765 ml

= 19222 ml

This means,

= 19 liter and 222 ml

Thus,

The amount of soda left after the party is 19 liters 222 ml.

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Answer:

14

Step-by-step explanation:

(a+b)^2

(a+b)(a+b)

FOIL

a^2 + ab+ab + b^2

Combine like terms

a^2 +2ab + b^2

Rearranging

a^2+b^2 +2ab

We know a^2+b^2 = 4  and ab= 5

4 + 2(5)

4+10

14

Answer:

C. 14.

Step-by-step explanation:

We use the identity:-

a^2 + b^2 = (a + b)^2 - 2ab

So 4 = (a + b)^2 - 2(5)

(a + b)^2 =  4 + 2(5)

= 14.

the Discriminant will always be greater than or equal to zero. This means that the polynomial has at least one real root.

Let f(x) = a0 + a1x + a2x2 + a3x3 be a polynomial function of odd degree 3.

We know that the degree of a polynomial is the highest power of the variable in the equation. Since the degree of f(x) is 3, then a3 ≠ 0.

Now, consider the Discriminant of the polynomial, which is defined as the expression below:

Discriminant = b2 - 4ac

In this case, b2 = a2^2, c = a0 and a = a3, thus the Discriminant is:

Discriminant = a2^2 - 4a0a3

Since a3 ≠ 0 (as mentioned before), the Discriminant will always be greater than or equal to zero. This means that the polynomial has at least one real root.

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Answer:

x = 1 and y = 4

Step-by-step explanation:

m² = 7x + 7; m³= 4y and m∧4 = 112

√(m∧4) = √112

∴ m² = √112

Hence, 7x + 7 = √112

(7x + 7)² = 112

49x² + 14x + 49 = 112

49x² + 14x - 63 = 0

7x² + 2x - 9 = 0

7x² + 9x - 7x - 9 = 0

x(7x + 9) - 1(7x + 9) = 0

(x - 1)(7x + 9) = 0

x - 1 = 0

∴ x = 1

When x = 1

m²= 7 + 7 = 14

m³= 4y and m∧4 = 112

Also m∧4/m²= m² = 112/14 = 8

Hence, m° = 2; m = 2 X 2 = 4; m² = 2 x 2 x 2  = 8; m³= 2 x 2 x2 x 2 =  16

m³ = 16 = 4y

∴ y = 16/4 = 4

The number of years it will take the investment to amount to $6,000 is 8 years.

Simple interest is when the return on an investment grows at a linear rate. This means that the investment would grow at a constant value with the passage of time.

Time = Interest earned / (principal x interest rate)

Interest rate = value of the investment - amount deposited

$6,000 = $4,000 = $2,000

Time = $2,000 / ($4,000 x 0.0625)

Time = 8 years

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We clearly seen that a little sign mistake here in 'j'.

In the given question  you have computed the cross product of v=i+2j−3k and w=2i−j+2k. You got v×w=i+8j−5k Without actually redoing v×w and we have to tell how can we spot a mistake in my work.

cross product of v and w i.e v×w is orthogonal to v and w

i.e (v×w)×v = 0 = (v×w)×w

Now v×w = i+8j₋5k

v = i+2j−3k

w = 2i−j+2k

then,

(v×w)×v = ( i+8j₋5k)×(i+2j−3k)

(v×w)×v = 1+16+15

(v×w)×v = 32≠0

and

(v×w)×w = ( i+8j₋5k)×(2i−j+2k)

(v×w)×w = 2₋8₋10

(v×w)×w = ₋16≠0

hence given cross product is wrong

Also we clearly seen that a little sign mistake here in 'j'

i.e if (v×w) = ( i₋8j₋5k)

(v×w)×v = ( i₋8j₋5k)×(i+2j−3k)

(v×w)×v = 1₋16+15

(v×w)×v = 0

and

(v×w)×w = ( i₋8j₋5k)×(2i−j+2k)

(v×w)×w = 2+8₋10

Hence, (v×w) = ( i₋8j₋5k)

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Answer:

ans: value of z is greater than 34

Step-by-step explanation:

draw the number line as shown in picture

Step-by-step explanation:

Area = 12 ft x 12 ft = 144 ft^2

Cost =  144 ft^2  *  $ 4/ ft^2 = $ 576

9514 1404 393

Answer:

  the average speed is 50 10/13 mph

Step-by-step explanation:

The relationship between time, speed, and distance is ...

  distance = speed × time

The distance traveled in the first part of the car's journey is ...

  (45 mi/h)(2/3 h) = 30 mi

The distance traveled in the second part of the car's journey is ...

  (60 mi/h)(25/60 h) = 25 mi

Then the total distance is 30 mi +25 mi = 55 mi.

The total time is ...

  40 min +25 min = 65 min = 65/60 h = 13/12 h

The average speed for the trip is ...

  speed = distance/time = (55 mi)/(13/12 h) = 660/13 mi/h = 50 10/13 mi/h

The average speed of the journey is 50 10/13 mi/h, just over 50 mi/h.

The function y = -16x² + 48x + 64 is a non linear function with a parabolic shape graph.

An equation is an expression that shows the relationship between two or more numbers and variables.

A non linear function is a function whose graph is not linear or can be represented by a straight line.

The function y = -16x² + 48x + 64 is a non linear function with a parabolic shape graph.

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Answer:

\(sin(theta) = \frac{5}{13} \)

The solution is,  the domain is: x ∈ (-∞, ∞).

Here, we have,

When we have two functions, f(x) and g(x), the composite function:

(f°g)(x)

is just the first function evaluated in the second one, or:

f( g(x))

And the domain of a function is the set of inputs that we can use as the variable x, we usually start by thinking that the domain is the set of all real numbers, unless there is a given value of x that causes problems, like a zero in the denominator, for example:

f(x) = 1/(x + 1)

where for x = -1 we have a zero in the denominator, then the domain is the set of all real numbers except x = -1.

Now, we have:

f(x) = x^2

g(x) = x + 9

then:

(f ∘ g)(x) = (x + 9)^2

And there is no value of x that causes problems here, so the domain is the set of all real numbers, that, in interval notation, is written as:

x ∈ (-∞, ∞)

(g ∘ f)(x)

this is g(f(x)) = (x^2) + 9 = x^2 + 9

And again, here we do not have any problem with a given value of x, so the domain is again the set of all real numbers:

x ∈ (-∞, ∞)

(f ∘ f)(x) = f(f(x)) = (f(x))^2 = (x^2)^2 = x^4

And for the domain, again, there is no value of x that causes a given problem, then the domain is the same as in the previous cases:

x ∈ (-∞, ∞)

(g ∘ g)(x) = g( g(x) ) = (g(x) + 9) = (x + 9) +9 = x + 18

And again, there are no values of x that cause a problem here,

so the domain is:

x ∈ (-∞, ∞)

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complete question:

Consider the following functions. f(x) = x2, g(x) = x + 9 Find (f ∘ g)(x). Find the domain of (f ∘ g)(x). (Enter your answer using interval notation.) Find (g ∘ f)(x). Find the domain of (g ∘ f)(x). (Enter your answer using interval notation.) Find (f ∘ f)(x). Find the domain of (f ∘ f)(x). (Enter your answer using interval notation.) Find (g ∘ g)(x). Find the domain of (g ∘ g)(x). (Enter your answer using interval notat

Answer:

[(2*8) + 3] *4 = 76

[2*(8 - 3)]*4 = 40

Step-by-step explanation:

Los paréntesis ( ), corchetes [ ] y llaves {} son símbolos de agrupación que indican el orden de las cuatro operaciones aritméticas básicas (suma, resta, multiplicación y división). Las reglas del orden de operaciones establece que se debe realizar primero el cálculo dentro de los símbolos de agrupación.

En otras palabras, la jerarquía de operaciones es el orden en el que hay que realizar las distintas operaciones, ya que unas tienen prioridad frente a otras. Y establece primero debes empezar por resolver los paréntesis, luego los corchetes y finalmente las llaves. Es decir, cuando haya símbolos de agrupación dentro de símbolos de agrupación, calcula de adentro hacia afuera. Esto es, empieza simplificando los símbolos de agrupación en el centro.

Para obtener 76, se pueden realizar la siguiente operación combinada:

[(2*8) + 3] *4

Aplicando lo anteriormente mencionado de la jerarquía de operaciones, comienzas por resolver el paréntesis:

[16 + 3]*4

Ahora, resolviendo el corchete:

19*4

Finalmente, resolviendo la multiplicación:

19*4= 76

Entonces [(2*8) + 3] *4 =76

Para obtener 40, se pueden realizar la siguiente operación combinada:

[2*(8 - 3)]*4

Comenzando a resolver el paréntesis:

[2*5]*4

Ahora, resolviendo el corchete:

10*4

Finalmente, resolviendo la multiplicación:

10*4= 40

Entonces [2*(8 - 3)]*4 = 40

Answer: I THINK 250

Step-by-step explanation: 125 is half and 125 times 2 is 250.

The value of R(A) = 4, N(AT ) = 3, R(AT ) = 4, and N (A) = 3.

Given that

Dimension of matrix  = 7×5

Rank of matrix = 4

The range space of A,

Which is a subspace of R, is known as R(A).

It is made up of all conceivable linear combinations of A's columns.

The dimension of R(A) =  rank of A,

Which is 4 in this case.

The null space of the transpose of A,

Which is also a subspace of R, is designated as N(AT).

All potential answers to the equation ATx = 0,

Where x is a R column vector, are included in it.

N(AT) has a dimension = nullity of A,

which in this case is 3 in this example.

The range space of the transposition of A, is designated as R(AT).

The rows of A are arranged in all conceivable linear configurations.

The rank of A = 4

Thus it equal to dimension of R(AT).

N(A) is the null space of A.

Axe = 0, where x is a column vector in R, are included in it.

The nullity of AT, which is three, is likewise equivalent to the dimension of N(A).

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Answer:

B. 60 cm²

Step-by-step explanation:

The formula for the area of a trapezoid is: \(\frac{1}{2}(b_{1} + b_{2} )h\)

Plugging in the given values, we can solve:

\(\frac{1}{2} (13+7)(6)\\\\\frac{1}{2}(20)(6)\\\\10(6)\\\\= 60\)

hope this helps!

Answer:

It is correct please I do not want yo sound rude can you give me brainliest answer.

Answer:

correct steps

Step-by-step explanation:

if asked to find angles in terms of the ratios, then don't forget to shift sin / cos / tan across the equal sign and change it to arc sin / cos / tan.

The weighted dollar amount of the savings account as per the an investment portfolio is; $67.20.

A percentage is a minimum number or ratio that is measured by a fraction of 100.

Given that An investment portfolio is;

Investment Amount   Invested    ROR

Savings Account  $3,200     2.1%

Municipal Bond  $4,900       4.5%

Preferred Stock   $940         10.5%    

Common Stock A       $1,675     -3.5%

The weighted dollar amount of the savings account is;

= 2.1% of $3200

=  ( 2.1 / 100)  × $3200

= ($6720) /100

= $ 67.20

Therefore, the weighted dollar amount of the savings account as per the an investment portfolio is; $67.20.

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The ball is in the air for approximately 2.8 + √7 seconds, which rounds to 5.2 seconds when rounded to one decimal place.To write the equation in vertex form, we need to complete the square.

The given equation is h = -4.9t² + 27.44t + 0.584. We can rewrite it as:

h = -4.9(t² - 5.6t) + 0.584

Now, we want to complete the square inside the parentheses. To do this, we need to add and subtract the square of half the coefficient of t. In this case, the coefficient is -5.6, so we have:

h = -4.9(t² - 5.6t + (5.6/2)² - (5.6/2)²) + 0.584

Simplifying, we get:

h = -4.9((t - 2.8)² - 2.8²) + 0.584

Expanding further:

h = -4.9(t - 2.8)² + 4.9(2.8)² + 0.584

Thus, the equation in vertex form is: h = -4.9(t - 2.8)² + 34.328

b) The ball's height when it was hit can be found by evaluating the equation at t = 0:

h = -4.9(0 - 2.8)² + 34.328

h = -4.9(-2.8)² + 4.328

h = -4.9(7.84) + 34.328

h ≈ 0.784 meters

To find the time at which the ball reaches its maximum height, we can use the fact that the maximum height occurs at the vertex of the parabolic equation. The vertex of a parabola in the form h = a(t - h₀)² + k is given by (h₀, k). Comparing this to our equation, we can see that the vertex occurs at t = 2.8 and h = 34.328. Therefore, the ball reaches its maximum height at 2.8 seconds, and the maximum height is 34.328 meters.

The total time the ball is in the air can be determined by finding the time it takes for the ball to reach the ground. When the ball hits the ground, its height is 0. To find this time, we can set the equation equal to 0 and solve for t:

0 = -4.9(t - 2.8)² + 34.328

4.9(t - 2.8)² = 34.328

(t - 2.8)² ≈ 7

t - 2.8 ≈ ±√7

t ≈ 2.8 ± √7

Since time cannot be negative in this context, we can ignore the negative value.

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Answer:

Just some background:

Congruent means that a triangle has the same angle measures and side lengths of another triangle.

SAS congruence theorem: If two sides and the angle between these two sides are congruent to the corresponding sides and angle of another triangle, then the two triangles are congruent. Congruent triangles: When two triangles have the same shape and size, they are congruent.

Let's look at A first.

The triangle on left, we know 40 and 30 degree angles. So 3 all angles together = 180, so the 3rd angle = 180-30-40 = 110.

Now look at the triangle on the right. The angle shown is 110! This angle is between the sides marked with || and ||| marks, indicating that those two sides are the same length between both triangles.

Therefore both triangles are the same by Side-Angle-Side or SAS.

Now look at B.

It's a right triangle. We are missing 1 side of each triangle.

Let's solve for the missing "leg" of the triangle on the right. The pythagorean theorem says that a^2 + b^2 = c^2 where a and b are the 'legs' or sides of the triangle and c is the hypotenuse (always the longest length opposite the right angle).

so 2^2 + b^2 = 4^2

4 + b^2 = 16

b^2 = 16-4

b^2 = 12

That missing side is the \(\sqrt{12}\).

This does NOT match the triangle on the left.

Theses two triangles are NOT congruent.

Answer:

im pretty sure thats 30

Step-by-step explanation: 3*10=30

2. The coordinates of the vertex are given as follows:

a) (5,-4).

b) (2,4).

c) (2,-8).

3 - a) g(x) = (x + 1)² + 7.

3 - b) The transformations were: shift left of one unit, shift up of seven units.

For problem 2, the transformations and the coordinates of the vertex are given as follows:

For problem 3, completing the squares, the definition of function g(x) is given as follows:

x² + 2x + 8 = (x + 1)² + 7.

Meaning that the transformations are given as follows:

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