Find the commission.

Sales: $530 Commission Rate: 8% Commissions: ?

Step-by-step explanation:

First you draw the right triangle and plug in everything you already know

Then you do the pythagoreon theorem

The ladder is 10 ft

On solving the provided question, we can say that - the range \(|x + 1| = 0\) \(x + 1 = 0 = > x = -1\) and \(y = 3\)

Finding the variable's greatest observed value (maximum) and deducting the least observed value will yield the range (minimum). Limits of variation or potential range: a variety of steel costs; several styles; The size or scope of an action or operation: insight. how far a weapon's projectile can or will travel. The number in a list or set between the lowest and maximum is referred to as a range. Line up all the numbers before locating the region. After that, take away (get rid of) the lowest number from the greatest number. The solution provides the list's range.

The regions where the absolute values are zero are known as the vertex points of an absolute value function.

\(|x + 1| = 0\\x + 1 = 0\\x = -1\)

\(y = |-1 + 1| + 3\\y= 0 + 3\\y = 3\)

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Answer:

12

Step-by-step explanation:

a^2+b^2=c^2

9^2+b^2=15^2

81+b^2=225              subtract 81 from both sides

b^2=144                     square root b^2 and 144

b=12

Hope this helps :)

Answer:

= A (The fee at Bank R will be more than the fee at Bank Q only when a customer's balance is more than $600.)

Please find attached photograph for your answer. Hope it helps. Answer is option B. 71°.

Recall the following rules for the given geometric transformations.

Translation c units left:

Translation c units up:

Rotation 90 degrees clockwise about the origin:

Then, the combination of a translation 3 units left, 2 units up and a rotation 90 degrees clockwise about the origin, is given by the rule:

Proved that, sin⁴x-cos⁴x/ sin²x-cos²x = 1​.

Here, we have,

given that,

the LHS is:

sin⁴x-cos⁴x/ sin²x-cos²x

now, we know that,

sin²x+cos²x = 1

and, we know that,

a² - b² = (a+b) (a-b)

so, we get,

sin⁴x-cos⁴x/ sin²x-cos²x

= (sin²x+cos²x) (sin²x-cos²x ) / sin²x-cos²x

=(sin²x+cos²x)

=1

= RHS

Hence, Proved that, sin⁴x-cos⁴x/ sin²x-cos²x = 1​

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The second decile of the given data set, "24, 64, 25, 40, 45, 34, 14, 26, 28, 24, 58, 51"  is 24.

To find the second decile of a data set, we first need to arrange the data in order from lowest to highest, that is :

⇒ 14, 24, 24, 25, 26, 28, 34, 40, 45, 51, 58, 64

The second decile represents the value that divides the data into two parts, where 20% of the data is below the value and 80% of the data is above the value.

Since there are 12 data points in this set,

So, 20% of the data is equal to 0.2 × 12 = 2.4.

Since we cannot have a fractional data point, we round up to 3.

So, the second decile is the third value in the ordered data set.

which is 24.

Therefore, The second decile is 24.

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The answer of the given question based on the equation is , the unknown number is 6.

An equation is the  mathematical statement that asserts equality of the two expressions. It typically consists of the two expressions separated by equal sign " = ". The expressions can include variables, constants, and mathematical operations like addition, subtraction, multiplication, division, and exponentiation. Solving an equation involves finding the value(s) of the variable(s) that make the equation true.

The statement can be translated into an equation as follows:

2(y - 2) = 8

Simplifying the equation, we can distribute the 2 on the left-hand side:

2y - 4 = 8

Then, we can add 4 to both sides to isolate the variable:

2y = 12

Finally, we divide both sides by 2 to solve for y:

y = 6

Therefore, the unknown number is 6.

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Answer:

x = 7 - 3y

Step-by-step explanation:

6y + 2x = 14 (divide all by two)

3y + x = 7 (move 3y to the right to isolate x)

x = 7 - 3y

Answer:

7-3y=x

Step-by-step explanation:

6y+2x=14

2x=14-6y >>> isolate x variable

x=7-3y >>> simplify because everything is divisible by 2

9514 1404 393

Answer:

  y was not substituted for every x

Step-by-step explanation:

To find the inverse of ...

  y = f(x)

you need to solve ...

  x = f(y)

Here, f(x) = x^2 +12x, so f(y) = y^2 +12y

This is not the expression we see on the right of ...

  x = y^2 +12x

Apparently y was not properly substituted into f(x).

sin(x³) + C is the equivalent integral of the function

Given the integral expression below

∫cos(x³)3x²dx

Using the integration by substitution:

let u = x³

du/dx = 3x²

dx = du/3x²

Substitute into the integral expression

∫cos(x³)3x²dx = ∫cos(u)3x²*du/3x²

∫cos(x³)3x²dx = ∫cosudu

∫cos(x³)3x²dx = sinu + C

Substitute the value of u into the expression

∫cos(x³)3x²dx = sin(x³) + C

Hence the equivalent integral of the function is sin(x³) + C

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Answer:

3/10

Step-by-step explanation:

Answer:

\(\frac{3}{10}\)

Step-by-step explanation:

\(\frac{8}{10}\) - \(\frac{5}{10}\) = \(\frac{3}{10}\)

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In a case whereby baseball game receives 3 raffle tickets and a $2 certificate for the team store. A group of people receives 39 raffle tickets the amount of money in certificates the group receive is  $26.

If one baseball game receives 3 raffle tickets and a $2 certificate for the team store, then we can say that each raffle ticket is worth 2/3 dollars ($2 divided by 3 tickets).

So, for 39 raffle tickets, the group would receive (39 x 2/3) = $26

Therefore, the amount of money in certificates the group receive is  $26

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Answer:

182.08

Step-by-step explanation:

The whole number in 4.208 is 4 and rational number is \(\frac{4208}{1000}\)

Positive integers and 0 are examples of whole numbers in mathematics. It is a collection of natural numbers and 0, in other words. Whole numbers do not include fractions, negative integers, or decimals.

Any number that can be expressed as a fraction and where the denominator (the bottom number) and the numerator (the top number) are both integers is considered a rational number. In other words, p/q, where p and q are both integers and q 0, can be used to represent a rational number. Given the number 4.208,where the whole number is equal to 4, the rational number is \(frac42081000\). Since all decimal numbers are not integers, the provided number is not an integer.

Therefore, the rational number is \(frac42081000\) and the whole number in 4.208 is 4.

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The expression "La luna pesca en el charco". which is equivalent to "The moon fishes in the puddle" and is used to express that an event is not likely to happen.

To begin, this expression is not a literal but a figurative expression. Now, the equivalent of this expression in English is "The moon fishes in the puddle". As this is a figurative expression we know that it is impossible for the moon to fish.

Instead, this expression means that something is impossible or not very likely to happen. For example, winning the lottery if you do not buy the lottery.

Note: Here is the question in English:

What is the meaning of the moon fishes in the puddle?

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It will take 15 days for the hair to grow from 12mm to 16.5mm

By "average rate" in this context, we mean the typical or usual amount of hair growth per unit of time, which is often measured in millimeters per day. This rate can vary slightly depending on factors such as age, gender, genetics, diet, and overall health.

Let's first find out how much the hair needs to grow by subtracting its initial length (12mm) from its target length (16.5mm):

16.5mm - 12mm = 4.5mm

Now we can divide this growth by the average rate of hair growth to find the number of days it will take to grow this much:

4.5mm ÷ 0.3mm/day = 15 days

Therefore, it will take 15 days for the hair to grow from 12mm to 16.5mm.

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Answer:

10

Step-by-step explanation:

the quotient is the result of division , that is

120 ÷ 60 = 2

72 ÷ 9 = 8

then sum of quotients = 2 + 8 = 10

The steps to conduct the steps of hypothesis testing on these data are:

The hypothesis will be:

Since we are comparing (GPAs) of three groups (students who check e-mail day by day, students  who check mail at least 2x a week, and students who check mail less than 2x a week), one can be able to make use of one-way analysis of variance (ANOVA) as the fitting test measurement.

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Using the expression 5x/12 = 20, the amount that A originally had was $48.

We have,

Let x be the amount of money that A originally had.

Then, A gave away 1/2 x 1/3 = 1/6 of the amount, which is equal to x/6.

The amount received by B is 1/2 of the remaining amount,

which is (x - x/6)/2 = 5x/12.

We know that 5x/12 = 20,

Solving for x.

5x/12 = 20

5x = 240

x = 48

Therefore,

The amount that A originally had was $48.

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Answer:

A $0.29

Step-by-step explanation:

4 dozen donuts is 48 donuts. (A dozen is 12 so 4 times 12 is 48). $13.92 divided by 48 is $0.29.

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Explanation:

The variable n is a placeholder for a number. Specifically some positive number. Let's say that n = 50. This means Eric biked 50 miles last year.

That would mean in total he biked 50+457 = 507 miles overall over the two years.

Since we don't know what n is, we don't replace it with 50. So we just keep n as it is. We would keep it as n+457

Once, or if, we find out the value of n, then we can replace that letter with that number.

Answer:

931.00

Step-by-step explanation:

First, we need to draw out a right triangle.

The building will be the opposite, the ground will be the adjacent, and the angle of elevation will be the hypotenuse.

Angle B is 10 degrees,  and the adjacent is 5280 feet.

We can find the opposite using trigonometric ratios

tan 0 = opposite/adjacent

Now we solve this equation.

Substitute 5280 for the adjacent

tan 0 = x/5280

0 is the degree, so it would be 10. Substitute this in

tan 10 =x/5280

solve for tan 10

0.1763 =x/5280

Solve for x

0.1763 Times  5280 = x

x= 931.0065

rounded to the nearest tenth, our answer is 931.00

so, the opposite side, or the height of the building, is 931.00

Hope this helps! Have a great rest of your day!

The true statements are:

A circle is a closed, two-dimensional shape where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the middle.

To identify the true statements, we can first rewrite the given equation of the circle in standard form:

x² - 2x + y² = 8

Completing the square, we get:

(x - 1)² + y² = 9

Now we can identify the true statements:

Therefore, the true statements are:

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a) The distance of the stone above ground level at any time t is given by h(t) = 950 + 4.9t², where h(t) is measured in meters and t is measured in seconds.

b) It takes approximately 13.93 seconds for the stone to reach the ground.

c) The stone strikes the ground with a velocity of approximately 136.04 m/s.

d) It takes approximately 16.75 seconds for the stone thrown downward with a speed of 6 m/s to reach the ground.

When objects are dropped or thrown from a height, their speed and position can be determined using physics equations. In this problem, we will calculate the distance, time, and velocity of a stone dropped from a tower.

First, we need to determine the equation for the height of the stone above the ground at any given time t. We can use the formula:

h(t) = h0 + vt + 0.5at²

where h0 is the initial height, v is the initial velocity (which is zero for a dropped object), a is the acceleration due to gravity (g = 9.8 m/s^2), and t is the time since the stone was dropped.

Using the given values, we can plug in the numbers and simplify:

h(t) = 950 + 0t + 0.5(9.8)t²

h(t) = 950 + 4.9t²

To find the time it takes for the stone to reach the ground, we need to set h(t) = 0 and solve for t:

0 = 950 + 4.9t^2

t^2 = 193.88

t ≈ 13.93 seconds

To find the velocity at which the stone strikes the ground, we can use the formula:

v = v₀ + at

where v₀ is the initial velocity (which is zero for a dropped object) and a is the acceleration due to gravity (g = 9.8 m/s²). We can plug in the values for t and solve for v:

v = 0 + 9.8(13.93)

v ≈ 136.04 m/s

Finally, if the stone is thrown downward with a speed of 6 m/s, we can use the same formula for h(t) as before, but with an initial velocity of -6 m/s. We can then find the time it takes to reach the ground using the same method as before:

h(t) = 950 - 6t + 0.5(9.8)t²

0 = 950 - 6t + 4.9t²

t² - 1.22t - 193.88 = 0

t ≈ 16.75 seconds

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Answer:

3.6

Step-by-step explanation:

each piece weighs 3.6 ounces

Answer:

3.6

Step-by-step explanation:

28.8/w=8

8w=28.8

w=28.8/8

w=3.6

Answer:

Step-by-step explanation:

Comment

The area of a right triangle is the product of the two smaller legs divided by  2.

Givens

Horizontal Leg =   4 units.

Vertical Leg      =   8 units

Note. you count units by calling the right angle 0,0. As you move to the next square, count 1 then 2 then 3 ...

Solution

Area = 4 * 8 / 2

Area = 32 / 2

Area = 16

Answer

Area  = 16

Answer:

like terms: (3n,-n),(7,-3)

Step-by-step explanation:

Answer:=2n+2

Step-by-step explanation:

3n+7-n-3=2n+2

Answer:

790,000

Step-by-step explanation:

Take the place behind the place you're trying to round from, (thousands place in this case) and if that number is 5 or above, which it is, you round up. (790,000). If it's 4 or below, keep it as is.