Question 2(Multiple Choice Worth 2 points)
(Order of Operations with Radicals MC)

Evaluate quantity the square root of 36 times 3 squared minus the cube root of negative 64 end quantity divided by 2 squared.

one fourth
thirty fourths
fifty-eight fourths
seventy-eight fourths

Answer: The answer is the first choice, <L = <P

Step-by-step explanation:

There are two triangles.

Triangle LMN

         and

Triangle PQR

If both of these triangles are congruent then that must mean that:

<L = <P

<M = <Q

<N - <R

Hope this helps!!

Answer:

4 × 3 = 3 × 4 4 \times 3 = 3 \times 4 4×3=3×44, times, 3, equals, 3, times, 4.

Answer:

Changing the order does not change the product.

Step-by-step explanation:

For example: 4 x 3 = 3 x 4 4 \times 4 4 x3x44, times, 3, equals, 3, times, 4.

Levy is painting a miniature model of a World War II tank. His figure uses a 1:72 scale and is 22.5 cm long. The actual tank is 1620 cm long.

To determine the length of the actual tank, we need to scale up the length of the miniature model using the given scale of 1:72.

Let's denote the length of the actual tank as "x".

According to the scale, 1 cm on the miniature model represents 72 cm on the actual tank.

So, we can set up the following proportion:

1 cm (miniature model) / 72 cm (actual tank) = 22.5 cm (miniature model) / x cm (actual tank)

Cross-multiplying and solving for x, we get:

x = (72 cm * 22.5 cm) / 1 cmx = 1620 cm

The actual tank is 1620 cm long.

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The probability of landing on a 9 and then landing on a number less than 8 is 1/8

Given that a spinner, spined twice, we need to find the probability of landing on a 9 and then landing on a number less than 8,

So,

Probability = favorable outcomes / total outcomes

Therefore,

Favorable outcomes = 1 and 2

Total outcomes = 4

So,

P(landing on a 9 and then landing on a number less than 8) = 1/4 x 2/4

= 1/4 x 1/2 = 1/8

Hence, the probability of landing on a 9 and then landing on a number less than 8 is 1/8

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Answer:

Answer is 12/13 B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

a and c

Step-by-step explanation:

ANSWER:9

Step-by-step explanation:

Answer:

\(x=13,\:y=0\)

Step-by-step explanation:

Isolate x for 2x-3y=26: \(x=\frac{26+3y}{2}\)

\(\mathrm{Substitute\:}x=\frac{26+3y}{2}\)

\(\begin{bmatrix}3\cdot \frac{26+3y}{2}-4.6y=39\end{bmatrix}\)

\(Simplify\)

\(\begin{bmatrix}39-0.1y=39\end{bmatrix}\)

Isolate y for 39-0.1y=39: y=0

\(\mathrm{For\:}x=\frac{26+3y}{2}\)

\(\mathrm{Substitute\:}y=0\)

\(x=\frac{26+3\cdot \:0}{2}\)

\(\frac{26+3*0}{2}=13\)

\(x=13\)

\(\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}\)

\(x=13,\:y=0\)

Answer:

1.3 is the common difference.

Step-by-step explanation:

Answer:

14 batches

Step-by-step explanation:

take 5/12 and 1/34 and find the lowest common factor (204) mult 5/12 by 17

85/204 and 1/34 by 6 is 6/204 figure out how many times 6 goes into 85 about 14.17

so 14 full batches

This is the coordinate plane shown below:

The horizontal axis is x-axis and the vertical axis is the y-axis.

See that the coordinate plane is broken down into 4 quadrants.

• Top Right - 1st quadrant

• Top Left - 2nd quadrant

• Bottom Left - 3rd quadrant

• Bottom Right - 4th quadrant

Now, we can plot a pair of point (x,y) on the coordinate plane.

We can have 4 types of points:

• (x positive, y positive) >>> falls in 1st quadrant

• (x negative, y positive) >>> falls in 2nd quadrant

• (x negative, y negative) >>> falls in 3rd quadrant

• (x positive, y negative) >>> falls in 4th quadrant

Let's plot 4 types of points in each coordinate and show in coordinate plane.

Let's plot:

A=(2,2)

B=(-2,2)

C=(-2,-2)

D=(2,-2)

In coordinate plane, they are:

Answer:

The cost of 1 kg is AED1.49

Step-by-step explanation:

Given

\(Cost = AED7.75\)

\(Weight = 5.2kg\)

Required

Determine the cost of 1 kg grape

To do this, we simply divide the cost of 5.2kg by 5.2kg.

i.e.

\(Unit\ Cost = \frac{AED7.75}{5.2kg}\)

\(Unit\ Cost = AED1.49/kg\) -- approximated

So, the cost of 1 kg is AED1.49

The limit of tan(x) - 1/x - pi/4 when x approaches pi/4 is equal to 2.

The limit we are trying to find is the derivative of some function f(x) at some number a. To solve this, we must first identify which function and number we are dealing with.

Since the limit represents tan(x) - 1/x - pi/4, this implies that the function we are dealing with is f(x) = tan(x) - 1 and a = pi/4. To calculate the derivative of this function, we can use the chain rule, which states that the derivative of a composite function (f(g(x))) is equal to f'(g(x))g'(x).

In this case, we have f(g(x)) = tan(x) - 1 and g(x) = x, so the derivative of f(x) at a = pi/4 is:

f'(g(x)) = f'(x) = sec^2(x)

g'(x) = 1

Therefore, the derivative of f(x) at a = pi/4 is sec^2(pi/4) = 2.

The limit we are trying to find is therefore equal to 2.

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Answer:

A

Step-by-step explanation:

To find 10% of 500 you would multiply 500 by 0.1

the interval over which the graph of f(x) = -(x + 3) - 1 is decreasing is (-∞, +∞).

What is a function?

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.

The given function is:

f(x) = -(x + 3) - 1

To find the interval over which the function is decreasing, we need to find the values of x where the function's derivative is negative.

The derivative of the function is:

f'(x) = -1

The derivative is a constant, which means the function has a constant slope of -1. Since the slope is negative, the function is decreasing over its entire domain.

Therefore, the interval over which the graph of f(x) = -(x + 3) - 1 is decreasing is (-∞, +∞).

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The values of a, m and b that satisfy the Mean Value Theorem are given as follows:

There are two conditions for the Mean Value Theorem to be applied on the interval [0,3].

For the continuity, the lateral limits at x = 0 and at x = 1 have to be equal, hence, at x = 0, the value of a is obtained as follows:

-(0)² + 3(0) + a = 2.

a = 2.

At x = 1, we have that:

-(1)² + 3(1) + 2 = m(1) + b

m + b = 4.

For the differentiability, the lateral limits of the derivative have to be equal at x = 1, hence the value of m is obtained as follows:

-2(1) + 3 = m.

m = -2 + 3

m = 1.

Then the value of b is obtained as follows:

b = 4 - m = 4 - 1 = 3.

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11, - 6, -1, 4, 9, 14, 19, ... are mapped onto 4. ... A;-l = (-ltQn (mod N),. (A5.34) ... 131 2, 14, 34, 38, 42, 78, 90, 178, 778, 974(1000).

Step-by-step explanation:

the nearest .1/2 incp, we say the 'unit 131/2 incl. 1.4 a measUrement is-stated tp- be 546 inch, this UM= the

Part (a)

Answer: Constant of proportionality = 5/8

Reason:

The general template equation is y = kx where k is the constant of proportionality. It is the slope of the line.

The direct proportion line must pass through the origin. In other words, the y intercept must be zero.

=====================================

Part (b)

Answer: Not Proportional

Reason:

The y intercept isn't zero.

Plug x = 0 into the equation to find y = 1 is the y intercept. This graph does not pass through the origin.

Answer:

3(238+12) is the expression

Step-by-step explanation:

hope this helps

the way i interpreted this expression is 3(238+12)

Answer:

3/12 is the same as 3 divided by 12

Answer:

A is 48/100, and B is 4 and 4/10 or in all fraction 44/10

Step-by-step explanation:

Answer:

1 and 3

speed with direction is called velocity

Answer:

Step-by-step explanation:

Velocity is the rate and direction of an object's movement.

Answer:

12/10, 18/15

Step-by-step explanation:

There you go!

The equation of the ellipse  derived as is

(x - h)^2 / a^2 + (y - k)^2 / b^2 = 1.

The equation of foci is

F₁ = (h - √(a^2 - b^2), k) , F₂ = (h + √(a^2 - b^2), k)

An ellipse is  described as a set of points in a plane such that the sum of the distances from each point to two fixed points, called foci, is constant.

We can write the equation of an ellipse as:

(x - h)^2 / a^2 + (y - k)^2 / b^2 = 1

where (h, k) = the center of the ellipse,

a = the semi-major axis,

and b = the semi-minor axis.

The foci of the ellipse are located along the major axis and are equidistant from the center, with a distance of : √(a^2 - b^2).

we know also the formula to find the foci of an ellipse is:

F₁ = (h - √(a^2 - b^2), k)

F₂ = (h + √(a^2 - b^2), k)

The sum of the distances from each point on the ellipse to the foci is constant. The equation can then be written as:

2a = √((x - h + √(a^2 - b^2))^2 + (y - k)^2) + √((x - h - √(a^2 - b^2))^2 + (y - k)^2)

Simplifying, we then can write  the equation of the ellipse as:

(x - h)^2 / a^2 + (y - k)^2 / b^2 = 1

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The solution is, f(x) = 7 is a even function.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

Solution:

Given that we have to find the even function

A function is even if and only if f(–x) = f(x)

Steps to follow:

Replace x with -x and compare the result to f(x).

If f(-x) = f(x), the function is even.

If f(-x) = - f(x), the function is odd.

If f(-x) ≠ f(x) and f(-x) ≠ -f(x), the function is neither even nor odd.

now,

Option 4

f(x) = 7

f(-x) = 7

Thus f(-x) = f(x)

Thus it is a even function.

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Answer :

0.2322

Step-by-step explanation:

Proportion, p of those who used e - ticket to get boarding pass = 112 / 280 = 0.4

p = 0.4

1 - p = 1 - 0.4 = 0.6

Number of samples, n = 8

P(x = 4)

Using the binomial probability formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

P(x = 4) = 8C4 * 0.4^4 * 0.6^4

P(x = 4) = 70 * 0.0256 * 0.1296

P(x = 4) = 0.2322432

P(x = 4) = 0.2322