what is the unit rate if 65 miles in 2 ½ hour.

Answer:The two containers will have the same amount of water in 50 minutes

Step-by-step explanation:

800-6x=1000-10x

Answer: B its associative property

Step-by-step explanation:

i have a feeling its B im sorry if im wrong

The area of the equilateral triangle is approximately 0.4 square centimeters.

A triangle is a three-sided polygon made up of three line segments that connect at three endpoints, called vertices. The study of triangles is an important part of geometry, and it has applications in various fields such as engineering, architecture, physics, and computer graphics.

To find the area of an equilateral triangle with side length 1 cm, we can use the formula:

Area = (√3/4) x \(side length^2\)

Plugging in the values, we get:

Area = (√3/4) x\(1^2\)

Area = √3/4

To round to 1 decimal place, we get:

Area ≈ \(0.4 cm^2\)

Therefore, the area of the equilateral triangle is approximately 0.4 square centimeters.

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The value of x that will make the expression equal is 4. Option B is correct.

Given the indices expression;

\(3^{2x+1} = 3^{x+5}\)

Since the base values are the same, they will cancel out to have:

\(2x + 1 = x + 5\)

Collect the like terms:

\(2x - x = 5 - 1\\x = 4\\\)

Hence the value of x that will make the expression equal is 4

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Answer:

the correct option is C which is 4

Step-by-step explanation:

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Left-handedness is more common than usual among mathematicians and more common than usual among artists option (d) more; more is correct.

An equation set and a set of variables that define connections between the variables make up a mathematical model, which often explains a system.

As we know,

Mathematicians are more likely than average to be left-handed, while artists are more likely than average to be left-handed.

Thus, Left-handedness is more common than usual among mathematicians and more common than usual among artists option (d) more; more is correct.

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Step-by-step explanation:

power of 10       add (or subtract)     keep

    coefficients        add  

      divide            subtract  

This is how you work with sci notation and powers of 10

Answer:

The runner's speed is "10" minutes per mile

Step-by-step explanation:

EDGE 2020

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The nurse will have to administer 3 milliliters with each dose.

When the prescriber orders medication f 150 mcg po q.12h, the pharmacy sends a bottle labeled:

medication f 0.05 mg/ml.

Milliliters will the nurse administer with each dose :

The conversion factor from mcg to mg is 1/1000.

Therefore, 150 mcg = 150/1000 = 0.15 mg.

The nurse has to administer 0.15 mg of medication f per dose.

The medication f available with the pharmacy is 0.05 mg/ml.

So, the nurse has to administer 0.15 mg in a single dose, which is equal to three times the quantity of medication f available in the bottle (0.05 mg/ml).

Therefore, the nurse has to administer 3 ml (0.05 mg/ml × 3 ml) of medication f with each dose.

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The correct answer is d) To avoid a large number of classes with very small frequencies.

Unequal class intervals are sometimes used in a frequency distribution to avoid a large number of classes with very small frequencies. This can occur when the data range is very large or when there is a lot of variability in the data.

For example, if we have a dataset with values ranging from 0 to 1000, using equal class intervals of size 100 would result in 10 classes. However, if the data is skewed and most of the values fall in the lower range, many of the classes may have very small frequencies. Using unequal class intervals can help group the data in a way that results in more meaningful class frequencies.

Additionally, unequal class intervals can be used to better represent the distribution of the data. For example, if there is a cluster of values around a certain range, using a smaller class interval around that range can provide more detail and information about the data distribution.

Therefore, the correct answer is d) To avoid a large number of classes with very small frequencies.

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The solutions are all the points inside the shaded region:

(1, 0.5) , (2,-1) and (2.5, -2)

Answer:

A. 102

B. 78

Step-by-step explanation:

mEG = 360 - 258 = 102°

m∠EFG = 1/2 ( major arc - manor arc) = 1/2 (258 - 102) = 78°

960 square meters is the surface area of the right triangular prism.

To find the surface area of the right triangular prism, we need to find the area of each face and add them up.

The triangular faces are congruent, so we just need to find the area of one of them and multiply by 2. The base of the triangle is 8 m and the height is 15 m, so the area of one triangular face is:

(1/2) x base x height = (1/2) x 8 m x 15 m = 60 m^2

The rectangular faces also come in pairs, so we need to find the area. instead, we will solve this using Perimeter of the side triangle multiplied by the length of the prism,

So,

the hypotenuse of the given triangle,

hypotenuse²=8²+15²

hypotenuse² = 225+64

hypotenuse = 17

So, the perimeter of the triangle = 17+15 + 8 = 40 m

Thus, the Surface area

2 x 60  (for the triangular faces) + 40*21(side) = 120+ 840 = 960

Therefore, the surface area of the right triangular prism is 960 square meters.

Answer:

2^-2

Step-by-step explanation:

When multiplying indices or exponents with the same base number, you can add the powers:

2^4 x 2³ = 2^7 (4 + 3 = 7)

2^5 x 2^4 = 2^9 (5 + 4 = 9)

When dividing indices or exponents with the same base number, you can subtract the powers:

2^7 ÷ 2^9 = 2^-2 (7 - 9 = -2)

Answer:

(8,-7)

Step-by-step explanation:

(8,7) flipped on the x is (8,-7)

Answer:

Use the Rational Zero Theorem to find rational zeros

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

The polar coordinates (r, θ) for point B with rectangular coordinates (-5, 12) are (13, 112.62°).

The polar coordinates (r, θ) for point B with rectangular coordinates (-5, 12) can be determined as follows.

1. Calculate the radius r:

r = √(x² + y²) = √((-5)² + 12²) = √(25 + 144) = √169 = 13.

2. Calculate the angle θ in radians:

θ = arctan(y/x) = arctan(12/-5) ≈ -1.176 radians.

3. Convert θ from radians to degrees:

θ = (-1.176 * 180) / π ≈ -67.38 degrees.

4. Adjust the angle to the proper quadrant (since point B is in the second quadrant):

θ = 180 - 67.38 = 112.62 degrees.

So, the polar coordinates (r, θ) for point B are (13, 112.62°).

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Answer:

Step-by-step explanation:

8×-4

Answer: (5,7)

Step-by-step explanation:

The volume of each individual brick is 72 cubic inches.

The volume of a rectangular prism of height H, width W, and length L is given by:

V = L*H*W

In this case we have:

Then, replacing these in the volume equation, we get:

V = (8 in)*(4 in)*(2.25 in) = 72in³

So the correct option is the second one.

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Answer:

The volume of each individual brick is 72 cubic inches.

Step-by-step explanation:

How to get the volume of each brick?

The volume of a rectangular prism of height H, width W, and length L is given by:

V = L*H*W

In this case we have:

L = 8in

W = 4in

H = 2.25 in

Then, replacing these in the volume equation, we get:

V = (8 in)*(4 in)*(2.25 in) = 72in³

So the correct option is the second one.

Answer:

1.2

Step-by-step explanation:

How to solve your problem

Topics: Algebra, Quadratic Equation

2

+

1

=

−

3

2x+1=x-3

2x+1=x−3

Solve

1

Subtract

1

1

1

from both sides of the equation

2

+

1

=

−

3

2x+1=x-3

2x+1=x−3

2

+

1

−

1

=

−

3

−

1

2x+1{\color{#c92786}{-1}}=x-3{\color{#c92786}{-1}}

2x+1−1=x−3−1

2

Simplify

Subtract the numbers

Subtract the numbers

2

=

−

4

2x=x-4

2x=x−4

3

Subtract

x

x

from both sides of the equation

2

=

−

4

2x=x-4

2x=x−4

2

−

=

−

4

−

2x{\color{#c92786}{-x}}=x-4{\color{#c92786}{-x}}

2x−x=x−4−x

4

Simplify

Combine like terms

Multiply by 1

Combine like terms

=

−

4

x=-4

x=−4

Solution

=

−

4

x = 2s - t - 4u - 4v - 4y = -3 - (3t + 9u + 6v + 6w)z = t + 2u + 2v + 2w + yw = u + v + w

Given the augmented matrix [1, -1, 1, 1 | 0, 2, 3, 3], the linear system is as follows: x - y + z + w = 02y + 3z + 3w = -1.To find the general solution of the linear system, we first write the system as an augmented matrix [A|B], and then bring it to reduced row-echelon form, [I|C]. Then, we express the general solution of the system by making C a function of some arbitrary parameters. Then, let's proceed as follows:1. [A|B] = [1, -1, 1, 1 | 0, 2, 3, 3].2. We use row operations to bring the augmented matrix to its reduced row-echelon form. The steps are listed below.3. We express the general solution of the system as a function of parameters.x = 2s - t - 4u - 4v - 4y = -3 - (3t + 9u + 6v + 6w)z = t + 2u + 2v + 2w + yw = u + v + w.where s, t, u, v, and w are arbitrary parameters. Therefore, the general solution of the linear system is x = 2s - t - 4u - 4v - 4y = -3 - (3t + 9u + 6v + 6w)z = t + 2u + 2v + 2w + yw = u + v + w.

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Answer:

0 - 1 - 2 - 3 - 4 - 5

2 - 22.1 - 32.4 - 32.9 - 23.6 - 4.5

Step-by-step explanation:

The function is:

Calculating the value of H for each value of t from 0 to 5

Correct answer choice is the 3rd one or C

The correct graph would be a straight line with a slope of 45 and passing through the origin (0, 0).

We have,

The graph that models the cost, y, in cents of making x minutes of international calls would be a linear graph, as the cost is directly proportional to the number of minutes.

The equation of the linear graph would be:

y = 45x

Here, y represents the cost in cents, and x represents the number of minutes.

Therefore,

The correct graph would be a straight line with a slope of 45 and passing through the origin (0, 0).

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Answer:

$187

Step-by-step explanation:

289/17 = 17

Hourly = $17

17 × 11 = 187

Answer = $187

In the Histogram the horizontal line (dimension) represents the value of the selected collection plan element. The vertical line (dimension) represents the count or sum of occurrences of the primary collection element on the horizontal line.

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the solutions to the quadratic equation 2 + 9x - 5 = 0 are x = 1/2 and x = -5

A quadratic equation is a second-degree polynomial equation in one variable. It can be written in the form a + bx + c = 0, where a, b, and c are constants and x is the variable.

Apply the Zero Product Property.

(2x - 1)(x + 5) = 0

Solve.

Setting each factor to zero and solving for x, we get:

2x - 1 = 0, x + 5 = 0

2x = 1, x = -5

x = 1/2, x = -5

Therefore, the solutions to the quadratic equation 2 + 9x - 5 = 0 are x = 1/2 and x = -5

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