Find the smallest number that is divisible by both 18 and 48.

Answer:

¡Hola! Lo siento, pero no hablo español. ¡qué tengas un lindo día! También necesito puntos porque soy nuevo.

Step-by-step explanation:

Answer:

8 40/7 - 5 40/7 = (56 + 40)/7 - (35 + 40)/7 = 96/7 - 75/7 = 21/7 = 3

Hope this helps!

:)

Answer:

8 40/7 - 5 40/7 = (56 + 40)/7 - (35 + 40)/7 = 96/7 - 75/7 = 21/7 = 3

Hope this helps!

:)

Step-by-step explanation:

Answer:

Your final answer would be what's in the attached image.

Step-by-step explanation:

Any number in front of a matrix just means you need to distribute (multiply) to the numbers inside. In this case, here's what your work would look like:

-1 × 4 = -4

-1 × 3 = -3

-1 × -2 = 2

-1 × 0 = 0

Make sure to place your final answers in the correct spots.

Hope this helps!

Answer:

(2, 60°)

Step-by-step explanation:

A point in polar form (a,b) is represented by a radius and an angle (r, ϴ). To convert, use the formula r² = a² + b² to get r, and  \(tan^{-1}\)(b/a) = ϴ

\(r = \sqrt{1^{2} + \sqrt{3} ^{2} }\)

\(r = \sqrt{1+3}\)

\(r = \sqrt{4}\)

= 2

\(tan^{-1}\)(\(\sqrt{3}\)/1) = ϴ

= 60°

The equation adds 0.10x to her fixed salary of $75 to find her total salary based on her sales.

What is the equivalent expression?

Equivalent expressions are expressions that perform the same function despite their appearance. If two algebraic expressions are equivalent, they have the same value when we use the same variable value.

The correct equation that represents Sondra's salary is:

y = 0.10x + 75

In this equation, "y" represents Sondra's salary and "x" represents her sales.

The equation states that Sondra earns a fixed weekly salary of $75, and in addition to that, she earns a commission of 10% of her sales.

Hence, the equation adds 0.10x to her fixed salary of $75 to find her total salary based on her sales.

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We have to determine the values of `f(-8)`, `f(8)` and all values of `c` in the interval `(-8,8)` such that `f '(c) = 0`.Function given, `f(x) = 4 - x^(2/3)`Therefore, `f(-8) = 4 - (-8)^(2/3)`The value of `(-8)^(2/3)` is not real. Hence, `f(-8)` does not exist. Further, `f(8) = 4 - 8^(2/3)`Value of `8^(2/3)`

Let `y = 8^(2/3)`Then, `y^3 = 8^2`⇒ `y = 8^(2/3)` is equal to `y = 4`.Thus, `f(8) = 4 - 4 = 0`.We know that,`f'(x) = (-2/3)x^(-1/3)`To find `f'(c) = 0`, solve `f'(x) = 0`.Let's solve `f'(x) = 0` for `x`.`f'(x) = 0`⇒ `(-2/3)x^(-1/3) = 0`⇒ `x^(-1/3) = 0` which is not possible. So, there is no value of `c` in `(-8,8)` such that `f '(c) = 0`.

Rolle's theorem states that if a function is continuous on a closed interval and differentiable on the open interval, then there exists at least one value in the open interval such that the derivative of the function is zero. In this case, the given function `f(x)` is not differentiable at `x = -8` as well as `x = 8`. Also, there is no value of `c` in `(-8,8)` such that `f'(c) = 0`. Therefore, Rolle's theorem is not applicable in this case.

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Answer:

A: (0,-5)

B:(4,-5) and (6,1)

C: (0,4)and (0,-5)

Step-by-step explanation:

Answer: X = -10

Step-by-step explanation:

Times two to the parentheses

Minus X from both sides, left with 3X-16=-46

Add 16 to both sides 3X=-30

Divide both sides by 3

Answer X=-10

Answer:

x = -10

Steps:

2(2x - 8) = x - 46  Multiply 2 and 2x, and multiply 2 and -8

4x - 16 = x - 46  You then have this equation

-x           -x  Subtract x from both sides

Now let me stop here.  Why are we subtracting?  Because we have variables on both sides, we subtract the least number with the variable. We have 4x and we have x.  Now, x means 1x, and 1x is less than 4x. Therefore, we subtract 1x from both sides : 4x - 1x = 3x.

3x -16 = -46  Then you get this

    +16   +16  Add 16 to both sides (if it said 3x +16 = -46, then you'd subtract)

3x = -30  You now have this

3       3  You only want x, so divide 3 from both sides

x = -10  Hope this helps!

The probability that the numbers on the red and blue dice are the same when thrown is 1/6, or approximately 0.167.

To find the probability that the numbers on a red and a blue die are the same when thrown, follow these steps:

1. Determine the total number of possible outcomes. There are 6 sides on each die, so there are 6 × 6 = 36 possible outcomes when throwing both dice.

2. Determine the number of favorable outcomes, which are the outcomes where the numbers on both dice are the same. There are 6 such outcomes:

(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), and (6, 6).

3. Calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes. In this case, the probability is 6 favorable outcomes / 36 total outcomes = 1/6, or approximately 0.167 (rounded to three decimal places).

So, the probability that the numbers on the red and blue dice are the same when thrown is 1/6, or approximately 0.167.

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Answer:

Common factor

Difference of cubes

Sum of cubes

Difference of squares

Step-by-step explanation:

Answer: A, B, C, and D

common factor

difference of cubes

sum of cubes

difference of squares

Answer: This has no answer

Step-by-step explanation:

The human brain cannot answer this……

By setting up an inequality, the maximum number of vans that are needed to ferry 80 people are 7 vans.

To find the maximum number of vans needed to ferry 80 people using the given terms, let's set up an inequality. Let's use the variable "v" to represent the number of vans.

Since a van can ferry a maximum of 12 people, we can write the inequality as:

12v ≥ 80

Now, let's solve for "v":

Divide both sides of the inequality by 12.
v ≥ 80/12

Simplify the inequality.
v ≥ 6.67

Since we cannot have a fraction of a van, we need to round up to the nearest whole number:

v ≥ 7

Therefore, the maximum number of vans needed to ferry 80 people is 7 vans.

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Answer:

Multiply each side by -5 add 25 to each side

Step-by-step explanation:

- 1/5 (x - 25) = 7

Multiply each side by -5

(x - 25) = -35

add 25 to each side

x-25+25=-35+25

x=-10

The mass of water vapor (g) / mass of dry air (kg) is the humidity measure of  the mixing ratio

The mixing ratio is defined as the mass of water vapor in grams divided by the mass of dry air in kilograms in a mixture of air and water vapor. It is a useful parameter for meteorologists and atmospheric scientists to describe the amount of water vapor in the atmosphere, particularly in the upper atmosphere where the relative humidity may be very low.

Relative humidity is the ratio of the partial pressure of water vapor in the air to the equilibrium vapor pressure at a given temperature and pressure, expressed as a percentage. Vapor pressure is the pressure exerted by a vapor in thermodynamic equilibrium with its condensed phases at a given temperature in a closed system. Absolute humidity is the mass of water vapor per unit volume of moist air.

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Answer:

The maximum area possible is 648 squared meters.

Step-by-step explanation:

Let the length of the existing wall be \(\ell\).

And let the width of the fence be \(w\).

The area of the enclosure will be given by:

\(A=w\ell\)

Since the area is bounded by one existing wall, the perimeter (the 72 meters of fencing material) will only be:

\(72=2w+\ell\)

We want to maximize the area.

From the perimeter, we can subtract 2w from both sides to obtain:

\(\ell=72-2w\)

Substituting this for our area formula, we acquire:

\(A=w(72-2w)\)

This is now a quadratic. Recall that the maximum value of a quadratic always occurs at its vertex.

We can distribute:

\(A=-2w^2+72w\)

Find the vertex of the quadratic. Using the vertex formula, we acquire that:

\(\displaystyle w=-\frac{b}{2a}=-\frac{(72)}{2(-2)}=18\)

So, the maximum area is:

\(A=-2(18)^2+72(18)=648\text{ meters}^2\)

The inequality that represents the cost, c, that Mr. Daniels can spend on the class trip is; c < 300

We are told that;

Mr. Daniels is organizing a class trip.

Mr. Daniels wants to spend less than $300

Thus, if the cost that Mr. Daniels can spend on the class trip is given as c, then it means that c has to be less than the amount which he wants to spend which is $300.

Thus, since c has to be less than $300, then it means that the inequality to be used would be a less than sign which can be expressed as;

c < 300

Thus, we conclude that it is the required inequality.

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The length of the hypotenuse of the right triangle is:

B = 24.4

Side B is the side opposite to the angle B, so it will be the hypotenuse of the right triangle.

We know the other two sides of the right triangle, so we can use the Pythagorean theorem to get:

C^2 + A^2 = B^2

Replacing the values that we know:

A = 20

C = 14

We will get:

20^2 + 14^2 = B^2

√(20^2 + 14^2) = B

24.4 = B

That is the length of the hypotenuse

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The sum is -3 by drawing an arrow for -5 and then for 2 in positive direction and sum it.

It is defined as the representation of the numbers on a straight line that goes infinitely on both sides.

We have:

= -5 + 2

To find the above expression sum.

First draw a number line.

From 0 draw a line for -5 (in negative direction)

Then again draw the arrow for 2 (in positive direction)

Then sum it:

= (-5) + 2

= -3 (arrow in the negative direction)

Thus, sum is -3 by drawing an arrow for -5 and then for 2 in positive direction and sum it.

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Answer:

The last year value of the house will be $230,000.

Step-by-step explanation:

GIVEN: Decrease in house price = 20%

            Current house price = $184,000

TO FIND: Value of the house last year

SOLUTION:

If the value of the house decreased by 20% during last year, this means the value of the house this year is 80% of last year's value.

Let the value of the house last year be 'x'.

If the value of the house today is  $184,000, then:

                           \(80/100 * x = 184,000\\\\0.8x = 184,000\\\\x = 184,000/0.8\\\\x = 230,000\)

Therefore, the last year value of the house will be $230,000.

The area of the region bounded by the given curves is 0.7123 square units

In this question we have been given two curves y = sin^2(x), y = sin^3(x), 0 ≤ x ≤ π

We need to find the area of the region bounded by the given curves.

We know that the formula for the area between two curves f and g :

A = |∫_[a to b] [f(x) - g(x)] dx|

here, a = 0, b = π, f(x) = sin^2(x) and g(x) = sin^3(x)

So, A = |∫_[0 to π] [sin^2(x) - sin^3(x)] dx|

A = |∫_[0 to π] sin^2(x) dx - ∫_[0 to π] sin^3(x) dx|

consider ∫_[0 to π] sin^2(x) dx

= ∫_[0 to π] (1 - cos(2x) / 2) dx

= π/2

Now consider ∫_[0 to π] sin^3(x) dx

= ∫_[0 to π] (1 - cos^2(x)) sin(x)  dx

= 4/3

So A = |π/2 - 4/3|

        = 3π - 8/2

        = 0.7123

Therefore, the required area: 0.7123 square units

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Answer:

The answer is 649.

Step-by-step explanation:

\({\tt{\underline{\underline{\purple{SOLUTION:}}}}}\)

To solve the above equation we will follow the BODMAS rule.

It stands for :

Solving this question by bodmas rule :

\( \tt{ = 9 \times 2 + ({5}^{3} \times 5) + 60 \div 10}\)

\( \tt{ = 9 \times 2 + (5 \times 5 \times 5\times 5) + 60 \div 10}\)

\( \tt{ = 9 \times 2 + (25 \times 5\times 5) + 60 \div 10}\)

\( \tt{ = 9 \times 2 + (125\times 5) + 60 \div 10}\)

\( \tt{ = 9 \times 2 + (625) + 60 \div 10}\)

\( \tt{ = 9 \times 2 + 625 + 60 \div 10}\)

\( \tt{ = 9 \times 2 + 625 + 6}\)

\( \tt{ = 18 + 625 + 6}\)

\( \tt{ = 643+ 6}\)

\( \tt{ = \red{649}}\)

Hence, the answer is 649.

\(\rule{300}{2.5}\)

Answer:

for the first one they are opposite angles so they are the same degrees so x=15 I forget adjacent angles so idk the second one sorry

0.10 > 0.05 is value of p - value of the data .

What does P stand for?

If we use 10% p - value cutoff = 0.10

then as 0.10 > 0.05

reject the null / data is consistent with the alternative hypothesis .

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Answer:

22

Step-by-step explanation:

22 x 3 = 66

1/3 would be 22

Answer: 54°

Step-by-step explanation:

We can see that this triangle is a right triangle (look at the little square in the triangle's corner-- that tells us that it's a right angle). A right angle is 90°

A triangle always has 180° in total.

So, we can add 90° and 36° and subtract the sum from 180°

180° - (90° + 36°) = 180° - 126° = 54°

Answer:

x = 54

Step-by-step explanation:

One of the properties for any triangle is that the sum of angles in the triangle will always equal 180 degrees. As one can see, one of the angles is (90) degrees, this is indicated by the box around the angle. It is given that one of the other angles is (36) degrees. One can call the unknown angle (x) and form an equation. Substitute in the given values and solve for (x).

(90) + (36) + (x) = 180

Simplify,

126 + x = 180

Inverse operations,

126 + x = 180

-126       -126

x = 54

Answer:

choose the third choice

56/120

Step-by-step explanation:

The body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

To express the body mass of the man's two children in terms of their father's body mass, we can use the given ratios.

Let the body mass of the man be x kg.

The first child's body mass is five-sixths of their father's body mass:

Body mass of the first child = (5/6) * x

= 5x/6 kg.

The second child's body mass is four-fifths of their father's body mass:

Body mass of the second child = (4/5) * x

= 4x/5 kg.

Therefore, the body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

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Figures LMNO and L'M'N'O' can be said to be: B. They are similar.

Similar figures are two or more figures that have the same shape but different size. That is, their corresponding angles are congruent but their corresponding sides are not equal. Thus, their corresponding sides have ratios that are the same, which means they are proportional to each other.

Thus, we are told that figures LMNO and L'M'N'O' have corresponding angles that are congruent but do not have corresponding congruent side lengths, this means that they are similar figures.

Therefore, figures LMNO and L'M'N'O' can be said to be: B. They are similar.

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