A 9ft ladder lens against the side of a house the bottom of the ladder is 6ft from the side of the house how high is the top of the ladder from the ground round the answer to the nearest tenth

Answer:

The first one

Step-by-step explanation:

The coordinate of the point on the directed line segment from (- 10, 2) to (-3,-5) will be;

⇒ (x , y) = (- 6, - 2)

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

The two points are;

(- 10, 2) and (- 3, 5)

And, The partitions the segment into a ratio of 4 to 3.

Now,

Since, We know that;

The The coordinate of the point on the directed line segment from

(x₁, y₁) to (x₂, y₂) that partitions the segment into a ratio of m₁ to m₂ will be;

⇒ x = (m₁ x₂ + m₂ x₁) / (m₁ + m₂)

⇒ y = (m₁ y₂ + m₂ y₁) / (m₁ + m₂)

Hence, The coordinate of the point on the directed line segment from

(- 10, 2) to (-3,-5) will be;

x = (4×-3 + 3×-10) / (4 + 3)

x = (-12 - 30) / 7

x = - 42/7

x = - 6

And,

y = (4×-5 + 3×2) / (4 + 3)

y = (-20 + 6) / 7

y = - 14/7

y = - 2

Thus, The coordinate of the point on the directed line segment from

(- 10, 2) to (-3,-5) will be;

⇒ (x , y) = (- 6, - 2)

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1. ≈ 33759 bees

The parent function for exponential functions is y = a(b^x), where "a" is the initial value and "b" is the growth rate. In this case, "x" is the number of days, and "y" is the number of bees after "x" days. We already know that the initial value is 20, so we can set "a = 20". Next, we know that after 5 days, there are 29 bees, which we can also plug into our equation: "x = 5" and "y = 29". Then, we end up with the equation 29=20(b^5) and solve for the growth rate, "b". To solve for "b", first divide both sides by 20, and then take the 5th root of both sides:

29 = 20(b^5)

29/20 = b^5

^5√(29/20) = ^5√(b^5)

^5√(29/20) = b

Now, we know the equation to this problem is y = 20((^5√(29/20))^x). We can plug in "x = 100" to find the number of bees after 100 days.

y = 20((^5√(29/20))^100)

y ≈ 33759 bees

2. No, you can't find the inverse of the function y=4x^2 + 12x + 9, because, for an inverse to be possible, it must pass the horizontal line test, which this function does not pass. The domain restriction necessary would have to make it so the function passes the horizontal line test, which would mean restricting half of the function from its vertex in this case. The x-value of the vertex (refer to the vertex formula) of this function is -12/8, so we can restrict the domain by only letting the domain be [-12/8, +infinity). Finding the inverse (switch "x" and "y", and solve for "y"):

x = 4y^2 + 12y + 9                                x:  [-12/8, +infinity)

x - 9 = 4y^2 + 12y

x - 9 = 4y^2 + 12y

(x - 9)/4 = y^2 + 3y

(x - 9)/4 + 2.25 = y^2 + 3y + 2.25

(x - 9)/4 + 2.25 = (y + 1.5)^2

√((x - 9)/4 + 2.25) = y + 1.5

√((x - 9 + 9)/4) = y + 1.5

(√(x) / 2) - 1.5 = y

(-3 + √(x))/2 = y

3a. To solve this problem, we have to find a way to use "log base5 of 3" and "log base5 of 8" to get "log base5 of 2".

First, we can exclude the logbase5 so the problem is easier to look at. We need to find a way to get "2" using "3" and/or "8" (cannot use subtraction/addition in this step, and using "3" and/or "8" is required with multiplication/division). Keep in mind the rules of logs with the same base.

8^1/3 = 2

Now, we put the logbase5 back in:

logbase5 of (8^1/3) = logbase5 of 2

From log rules, we can move the exponent "1/3" down:

1/3 * logbase5 of 8

We know that logbase5 of 8 = 1.2920

1/3 * 1.2920

approximately 0.4307

3b. As previously explained, we need to use "3" and "8" to get to "75/8" while keeping in mind the rules of logs.

First, we can simplify "logbase5 of (75/8)":

logbase5 of (75/8) = (logbase5 of 75) - (logbase5 of 8)

Now, ignore the "logbase5" and use provided values of "3" and "8" to get to 75. Note that we can use the number 5: logbasex of x= 1 [x^1 = x]

(5^2) * 3 = 75

Next, place the "logbase5" back in, and simplify

logbase5 of ((5^2) * 3) - logbase5 of 8

logbase5 of (5^2) + logbase5 of 3 - logbase5 of 8

2logbase5 of 5 + logbase5 of 3 - logbase5 of 8

2(1) + 0.6826 - 1.2920

approximately 1.3906

A) The explicit formula which model this situation will be;

⇒ an = $43,000 + $1,100n

Where, ''an'' be the construction worker's salary in the nth year.

B) The value of a₁₀ = $54,000

C) After 11 years her salary will be $55,100.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A construction worker's starting salary = $43,000.

And, Each year she receives a $1100 raise.

Now,

A) Let ''an'' be the construction worker's salary in the nth year.

So, We can formulate;

⇒ an = $43,000 + $1,100n

B) Since, The construction worker's salary in the nth year is,

⇒ an = $43,000 + $1,100n

Put n = 10, we get;

⇒ a₁₀ = $43,000 + $1,100 × 10

⇒ a₁₀ = $43,000 + $11,000

⇒ a₁₀ = $54,000

C) Let after n year her salary will be $55,100.

So, We can formulate;

⇒ an = $43,000 + $1,100n

⇒ $55,100 = $43,000 + $1,100n

Solve for n as;

⇒ $55,100 - $43,000 = $1,100n

⇒ $12,100 = $1,100n

⇒ n = 12,100 / 1,100

⇒ n = 11

Thus, After 11 years her salary will be $55,100.

Therefore, A) The explicit formula which model this situation will be;

⇒ an = $43,000 + $1,100n

Where, ''an'' be the construction worker's salary in the nth year.

B) The value of a₁₀ = $54,000

C) After 11 years her salary will be $55,100.

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The distance between each tick mark on this number line= 1/5 units

What is unit rate?

A unit rate is the cost for only one of anything. This is expressed as a ratio with a denominator of 1. For instance, if you covered 70 yards in 10 seconds, you did so at an average speed of 7 yards per second. Although both of the ratios—70 yards in 10 seconds and 7 yards in one second—are rates, only the latter is a unit rate.

5 equal spaces between 0 and 1 shows,

5 equal spaces= 1 unit

1 equal space = x units

Do the cross multiplication.

5*x=1*1

5x=1

x=1/5

So, the distance between each tick mark on this number line= 1/5 units

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Answer:

1/5 is the answer

Sara calculated the unit rate as dollars per orange whereas Sara's friend Daniel calculated unit rate as oranges per dollar.

What is unit rate?

One of a given object constitutes a unit. The cost of only one of an item is its unit rate. With one as the denominator, this is written as a ratio. For instance, you would move 7 yards on average every second if you covered 70 yards in 10 seconds.

Sara said there was a ratio of 12 to 8, so the unit rate was $1.50 per orange, it means she is calculating the unit rate as dollar per oranges.

Whereas, his friend Daniel, he thought the ratio would be 8:12, so the unit rate would be 8/12 oranges per dollar.

In this way both the unit rates are correct.

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Answer:Zn≅Zm implies (Z/2)n≅Zn/2Zn≅Zm/2Zm≅(Z/2)m.

Step-by-step explanation:

The coordinates of point P along QR so that the ratio of QP to PR is 1 to 4 is P(6,3).

It is the comparison of one quantity with another. For example, if your weight is 30 kg and your father's weight is 90 kg, then the ratio of weight is 1:3.

Given:

The coordinates of Q = (8,4),

The coordinates of R = (-2, -1),

The ratio of QP/PR = 1/4,

Calculate the coordinates of the P by the following formula,

P(x, y) = [(mx₂ + nx₁) / m + n , (my₂ + ny₁ ) / m + n]

Here m and n are ratio and m/n = 1/4

Substitute the values,

P(x, y) = [1 × (-2) + 4 × 8] / 1 + 4 , [1 × (-1) + 4 × 4] / 1 + 4

P(x, y) = (6,3)

Therefore, the coordinates of point P along QR so that the ratio of QP to PR is 1 to 4 is P(6,3).

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Answer:

[tex]5\frac{1}{3}[/tex]

Step-by-step explanation:

3 5/9 x 1 1/2

32/9 x 3/2

96/18

16/3

5 1/3

Hopes this helps please mark brainliest

Answer:

Papina found 27 more shells than Camila.

Step-by-step explanation:

Let x = the number of seashells that Camila found.

That means that

4x = the number of seashells that Papina found.

Papina's shells + Camila's shells = 45

4x + x = 45

Combine like terms.

5x = 45

Divide by 5.

x = 9

Camila found x shells. That is 9 shells.

Papina found 4x shells.

4x

= 4(9)

= 36

Papina found 36 shells.

36 - 9

= 27

Papina found 27 more shells than Camila.

The age of Molly is 24 years.

We have two persons. The names of the two persons are Wally and Molly. The age of Wally is 12 years. Billy has a cousin named Molly. The age of Molly is twice the age of Wally. It means that to find the age of Molly, we will multiply the age of Wally by two. Let the age of Molly be represented by the variable "x". A constant's value remains constant across time. A variable, on the other hand, changes its value depending on the equation. Variables are often written in alphabets or symbols. Constants are frequently written in numbers.

x = 2*12 = 24

Hence, Molly is 24 years old.

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Answer:

5 and 11

Step-by-step explanation:

x =2

fx=3x-1

3(2)-1

6-1

= 5

when x= 4

fx=3x-1

3(4)-1

12-1

11

f(x) =5 and 11

Answer:

5 and 11

Step-by-step explanation:

Input the values of x in the function and solve using basic mathematical operations.

[tex]f(2)=3(2)-1=6-1=5\\\\\\f(4)=3(4)-1=12-1=11[/tex]

He should add 7.5 or 7 1/2 cups of water.

Cup of concentrate = 1

Cup of water = 1 1/2

                     = 3/2

                     = 1.5

Cups of concentrate = 5

Cups of water = 5 * 1.5

                       = 7.5

                       = 15/2

                       = 7 1/2

Hence, He should add 7.5 or 7 1/2 cups of water.

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The amount you need to sell the job if you want to make 15% net margin, based on the costs, is $7, 857.26

First, find the total cost for the project:
= Equipment + cost of labor + overhead

Cost of labor and equipment:

= 4, 200 + ( 16 x 32 per man- hour)

= $ 4, 712

The total cost is then:
= 4, 712 x ( 1 + 45%)

= $6, 832.40

The amount to sell for is:
= Total cost x ( 1 + net margin)

= 6, 832.40 x ( 1 + 15%)

= $7, 857.26

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Y=21,000(1.20)*. D=anan1 d = a n a n 1 is the formula for figuring out the common difference of an arithmetic series, where d is the common difference and an a n is the nth term. A common difference in an arithmetic series is one between any term and its predecessor, and it is typically denoted by the letter "d".

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Answer:

Step-by-step explanation:

10$ for cheese pizza
15$ for peproni pizza

he sold 64 pizza in which 3 of them are of cheese
so therefore,

64-3=61
61*10 = 610
3*15  =  45

           ---------

           $655

A. 136 in.
When spinning 180, you face backwards. When the initial spins, you can just think of it as moving the horn from the left hand to the right. That happens a second time. Two arms is equal to 68 in., so double of that is 136 in.

I don’t believe I can solve the 2nd question

The maximum value of the quadratic function F(x) = -3x² + 18x + 3 is 30 when x = 3

The quadratic equation is given as

F(x) = -3x² + 18x + 3

The above function is a quadratic function

As a general rule, a quadratic function has the following representation:

F(x) = ax² + bx + 3

This means that: a = -3

The value of a for a quadratic function must be less than 0 for the function to have a maximum

This means that the function has a maximum value because -3 is less than 0

Solving further, we have

F(x) = -3x² + 18x + 3

Differentiate and set to 0

-6x + 18 = 0

So, we have

x = 3

Substitute x = 3 in F(x)

F(3) = -3(3)² + 18(3) + 3

Evaluate

F(3) = 30

This represents the maximum value

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Answer:

Option B

Step-by-step explanation:

If 3 scoops = 6 quarts

Then we divide both sides by 3 to find :

1 scoop = 2 quarts

Now we multiply both sides by 6 :

6 scoops = 12 quarts

Now we multiply the 1 scoop equation by 9 to find the last value in the table :

9 scoops = 18 quarts

These values matches only table B

Hope this helped and have a good day

If you can give brainliest and check comments above

Answer:

Step-by-step explanation:

8 10

The equation to model the total cost, c, in dollars, of a hamburger with t additional toppings on Mondays is c = 3 + 0.50t.

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Let the additional topping = t

Therefore, the cost will be expressed as:

c = 1/2(6) + (0.50 × t)

c = 1/2(6) + 0.50t

c = 3 + 0.50t

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Answer:

?

Step-by-step explanation:

c.r.=6/3=12/6=2

[tex]c.r=\frac{a_{n}}{a_{n-1}} \\\frac{a_{n}}{a_{n-1}} =2\\a_{n}=2a_{n-1}[/tex]

Answer:

pretty sure it is c

Step-by-step explanation:

Match up the sides for example 4 and 24 are on the same side

so 36 gets matched up with x

If you need a better explanation, comment on my answer lol

Hope it helps Have a good day : )

The measurement of ∠1 =  136° and ∠2 = x = 44°, using Vertically opposed angles.

What is Vertically opposed angles?

Two lines intersecting at a point create vertical angles. Every time they are on an equal footing. Alternatively stated, four angles are created anytime two lines cross or intersect. Two opposed angles are equal and are referred to as vertical angles, as we can see. Due to their position opposite one another, they are also known as "Vertically opposed angles."

Angles that are vertically opposed to one another at a certain vertex are formed by two straight lines intersecting. The equality of the vertically opposed angles has been established.

∠x = 44

∠2 = x = 44

∠1 + ∠2 = 180

∠1 = 180 - 44 = 136°

Hence, The measurement of ∠1 =  136° and ∠2 = x = 44°.

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Answer:

The value of cos 0 is 1.Here, we will discuss the value for cos 0 degrees and how the values are derived using the quadrants of a unit circle. The trigonometric functions are also known as an angle function that relates the angles of a triangle to the length of the triangle sides.

Trigonometric functions are one of the most important topics which are used in the study of periodic phenomena like sound and light waves, the study of harmonic oscillators and finding the average temperature variations.

The three basic trigonometric ratios are sine function, cosine function, and tangent function. It is commonly defined for the angles less than a right angle, trigonometric functions are stated as the ratio of two sides of a right triangle containing the angle in which the values can be found in the length of various line segments around a unit circle. The angles of a triangle are calculated with respect to sin, cos and tan functions. Usually, the degrees are represented as 0°, 30°, 45°, 60°, 90°, 180°, 270° and 360°.Cos 0 Degree ValueTo define the cosine function of an acute angle, start with the right-angled triangle ABC with the angle of interest and the sides of a triangle. The three sides of the triangle are defined as follows:The opposite side is defined as the side opposite the angle of interest.The hypotenuse side is the side opposite the right angle and it is the longest side of a right triangleThe adjacent side is the remaining side where it forms a side of both the angle of interest and the right angleThe cosine function of an angle is equal to the length of the adjacent side divided by the length of the hypotenuse side and the formula is given by:Cos θ = Adjacent Side / Hypotenuse SideValue of Cos 0 Using Unit CircleAssume a unit circle with the center at the origin of the coordinate axes. Consider that P (a, b) be any point on the circle which forms an angle AOP = x radian. This means that the length of the arc AP is equal to x. So we define that cos x = a and sin x = b

Step-by-step explanation:

lots to read but answer is 1

The height that the Kite C can fly after the string on Kite C is tripled is 59.917 feet.

Given,

The length of the string on Kite C = 28 3/4 feet = 21.75 feet

The depth of the Kite C = -6 2/3 feet = -5.333 feet

The string on Kite C is tripled = 21.75 × 3 = 65.25 feet

We have to find the height of the Kite C can fly;

Here,

The first height that the Kite C can fly;

Length + depth = 21.75 + (- 5.333) = 16.417 feet

Now,

The height that the Kite C can fly after the string on Kite C is tripled;

Tripled length + depth = 65.25 + (-5.333) = 59.917 feet.

That is,

The height that the Kite C can fly after the string on Kite C is tripled is 59.917 feet.

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The graph that represents the given table is graph 2

The table is given,

At x = 0

The value of y = -2

The y intercept of the line is -2

The slope of the line is the change in y coordinates with respect to the change in x coordinates of the line

The two points are (0, -2) and (1, -3.5)

The slope of the line m = [tex](\frac{y_2-y_1}{x_2-x_1} )[/tex]

Substitute the values in the equation

The slope of the line = -3.5 - (-2) / 1 - 0

= -1.5 /1

= -1.5

The slope of the line is negative and the y intercept of the line is negative, the correct graph is graph 2

Hence, the graph that represents the given table is graph 2

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A deferred tax liability can arise when the tax return and the income statement report a revenue or expense in different years

A deferred tax liability is a balance-sheet entry that records taxes that are owed but are not due to be paid until a later date. The liability is postponed due to a timing difference between when the tax was accrued and when it is due to be paid.

On the balance sheet, deferred income tax appears as a liability. The most common cause of deferred income tax is a discrepancy between the IRS and GAAP depreciation methods. Income tax deferral can be classified as either a current or long-term liability.

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