Solve 4x-9 = k for x.
A. x=k+9/4
B. x= 4k+9
C. x= k + 9
D. x = k-9/4​

Answer:

Step-by-step explanation:

4.1-1.25=2.85

lets divide

2.85/0.005=570

Answer:

2.85/0.005=570

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

Step 1: Simplify both sides of the equation.

−7+3(8n−8)=8(7+3n)

−7+(3)(8n)+(3)(−8)=(8)(7)+(8)(3n)(Distribute)

−7+24n+−24=56+24n

(24n)+(−7+−24)=24n+56(Combine Like Terms)

24n+−31=24n+56

24n−31=24n+56

Step 2: Subtract 24n from both sides.

24n−31−24n=24n+56−24n

−31=56

Step 3: Add 31 to both sides.

−31+31=56+31

0=87

Answer:

There are no solutions.

Step-by-step explanation:

Answer:

its 3

Step-by-etep explanation:

A 40 gram sample of a substance that’s used for drug research has a k-value of 0.1472. The substance's half-life, in days, is approximately 4.7 days.

The half-life of a substance is the time it takes for half of the substance to decay or undergo a transformation. The half-life can be determined using the formula:

t = (0.693 / k)

where t is the half-life and k is the decay constant.

In this case, we are given that the sample has a k-value of 0.1472. We can use this value to calculate the half-life.

t = (0.693 / 0.1472) ≈ 4.7 days

Therefore, the substance's half-life, rounded to the nearest tenth, is approximately 4.7 days.

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A circle passes through the three vertices of an isosceles triangle that has two sides of length 3 and a base of length 2. So the area of this circle is 81π/32.

These are the specified parameters:

Sides of an isosceles triangle

a = 3

b = 3

c = 2

Find the height of an isosceles triangle

h² = a² - (c/2)²

    = 3² - 1²

    = 9 - 1

    = 8

h = √8

h = 2√2

Find the area of the triangle

A = 1/2 × c × h

  = 1/2 × 2 × 2√2

  = 2√2

Find the length of the radius of the circle

r = abc / (4 A)

 = (3 × 3 × 2) / (4 × 2√2)

 = 9/4√2

 = 9√2/8

Fnd the area of the circle

A = π × r²

  = π × (9√2/8)²

  = 81π/32

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Answer:

D

Step-by-step explanation:

Answer:

\(f(-4)=48\)

Step-by-step explanation:

Value of functions

To evaluate a function for a given value of x, we replace the x for the value and perform the resulting operations.

The given function is (corrected):

\(f(x)=-4x+x^2+16\)

We need to find f(-4), so we use x=-4:

\(f(-4)=-4*(-4)+(-4)^2+16\)

\(f(-4)=16+16+16\)

\(\boxed{f(-4)=48}\)

Answer:

A=3√5

B=11√7

Step-by-step explanation:

5√5-2√5

5-2√5

3√5

B) 8√7+3√7

8+3√7

11√7

The rate at which the top of the ladder is slipping down at the instant when the bottom of the ladder is 15 feet from the base of the building is -75/8 feet per second

The length of the ladder = 17

Consider the length of the base as x and the height is h

The rate at which the ladder is sliding = 5 feet per second

dx/dt = 5

Apply the Pythagorean theorem

x^2 + h^2 = 17^2

h^2 = 289 - x^2

h = \(\sqrt{289-x^2}\)

The rate of change of height with respect to x is

dh/dx = - x / (289 - x^2)^(1/2)

dh/dt = dh/dx × dx/dt

Substitute the values in the equation

= - 15 / (289 - 15^2)^(1/2) × 5

= -15/8 × 5

= -75/8 feet per second

Therefore, the rate of change of height when x = 15 is -75/8 feet per second

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The expression that can be used  to find the temperature at noon is

–22.4 + 12.8 option B

Generally, The word "temperature" refers to the degree to which something is hot or cold and may be described using a number of different scales, such as Fahrenheit and Celsius.

The direction in that heat energy will spontaneously flow is indicated by temperature; specifically, it will flow from a hotter body (one that is at a higher temperature) to a colder one (one at a lower temperature).

In conclusion,  the temperature was 22.4°F below zero meaning

-22.4F in mathematical terms

and  12.8°F above zero in mathematical terms

Therefore, –22.4 + 12.8 is the expression that can be used  to find the temperature at noon

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Answer:

the answer for your question is 1200pi

the expression in terms of sine and cosine and simplified is [(cos A - sin A)(1 + 2 sin A)] / [(sin A - 1)² - cos² A].

The expression to be written in terms of sine and cosine is:(cos A - 2 sin A cos A )/ (cos² A - sin² A + sin A - 1

We know that cos 2A = cos² A - sin² A and

sin 2A = 2sin A cos A

Therefore, cos 2A + 1 = cos² A - sin² A + 1 and cos 2A - 1

= cos² A - sin² A

We can simplify the denominator as follows:cos² A - sin² A + sin A - 1

= cos² A - (1 - sin² A) + sin A - 2

= cos² A - cos 2A + sin A - 2

= -[cos 2A - cos² A - sin A + 2]

= -[cos 2A - (1 - sin A)²]

Now, we can rewrite the given expression as

:cos A - 2 sin A cos A / [-cos 2A + (1 - sin A)²]

= [(cos A - sin A)(1 + 2 sin A)] / [(sin A - 1)² - cos² A]

Therefore, the expression in terms of sine and cosine and simplified is [(cos A - sin A)(1 + 2 sin A)] / [(sin A - 1)² - cos² A].

Cos is a trigonometric function that gives the ratio of the length of the adjacent side to the hypotenuse side of a right-angled triangle, while Trigonometry is the study of triangles, especially right triangles, and the relations between their sides and angles.

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Answer:

2, 400

Step-by-step explanation:

1) 25 times 40 for how many miles the shark has done, which is 1,000

2) Do 1000 divided by 25, which is 40, so 40 hours.

3) Do 40 times 60 for how many minutes the shark has swam, which is 2, 400.

Answer:

2,400

Step-by-step explanation:

1) 25 times 40 for how many miles the shark has done, which is 1,000

2) Do 1000 divided by 25, which is 40, so 40 hours.

3) Do 40 times 60 for how many minutes the shark has swam, which is 2, 400.

Answer:

We are finding hypotenuse:

6^2 + 8^2

36 + 64 = 100

Now we need to find a number that should be squared to equal 100.

10^2 = 100!

10 is your answer.

Answer:

the answer is 15 because you have to do the problem in the parentheses first then multiply by 5

Answer:

False.

Step-by-step explanation:

You can put x=0 into both of the equations to justify. At the first equation, when x=0, f(x)=0. In the second equation, when x=0, f(x)=3. F(x) is the value of y. So, the function has moved 3 units up, not 3 units to the right.

To summarize, in this example:
- 20 trees die
- 5 trees are sold for $20 each
- 10 trees grow to be more than 5 ft
- 28 trees taller than 5 ft are sold for $50 each
- 11 trees taller than 5 ft are sold for $30 each
- 17 trees taller than 5 ft remain in the forest

The forest consists of two types of trees: those that are 0–5 ft tall and those that are taller than 5 ft. Each year, there are different percentages of what happens to these trees.
For the 0–5 ft tall trees:
- 40% of them die
- 10% are sold for $20 each
- 30% stay between 0 and 5 ft
- 20% grow to be more than 5 ft
For the trees taller than 5 ft:
- 50% of them are sold for $50 each
- 20% are sold for $30 each
- 30% remain in the forest
To better understand the distribution and changes in the forest, let's consider an example with 100 trees.
In this example, we start with 100 trees, of which:
- 0–5 ft tall trees: 50 trees
- Taller than 5 ft trees: 50 trees
For the 0–5 ft tall trees:
- 40% of them die, so 40% of 50 trees is 20 trees die
- 10% are sold for $20 each, so 10% of 50 trees is 5 trees sold
- 30% stay between 0 and 5 ft, so 30% of 50 trees is 15 trees stay
- 20% grow to be more than 5 ft, so 20% of 50 trees is 10 trees grow
After these changes, we have:
- 0–5 ft tall trees: 15 trees (remaining trees)
- Taller than 5 ft trees: 55 trees (remaining trees + growth)
For the trees taller than 5 ft:
- 50% of them are sold for $50 each, so 50% of 55 trees is 27.5 trees sold (rounding to 28 trees sold)
- 20% are sold for $30 each, so 20% of 55 trees is 11 trees sold
- 30% remain in the forest, so 30% of 55 trees is 16.5 trees remain (rounding to 17 trees remain)
After these changes, we have:
- 0–5 ft tall trees: 15 trees (remaining trees)
- Taller than 5 ft trees: 17 trees (remaining trees)
To summarize, in this example:
- 20 trees die
- 5 trees are sold for $20 each
- 10 trees grow to be more than 5 ft
- 28 trees taller than 5 ft are sold for $50 each
- 11 trees taller than 5 ft are sold for $30 each
- 17 trees taller than 5 ft remain in the forest

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Answer:

n=11

Step-by-step explanation:

an=a1+(n-1)d

14=-36+(n-1)5

14=-36+5n-5

14+36+5=5n

55=5n

n= 11

The statements that are true regarding the diagram are:

Think of ABC as having outside angles.

∠ 1 , ∠ 4 ,and ∠ 6

A triangle's exterior angle is equal to the sum of its inner angles on either side.

Exterior 1 has the following

Exterior angle of a triangle is given by the formula: ∠(1 = 5 + 3).

Similarly,

Exterior 4 consists of

∠ (4 = 5 +  2) this is the exterior angle of the triangle.

Similarly,

Exterior 6 consists of

Exterior angle of a triangle is given by the formula: ∠6 = ∠2 + ∠3

Property Triangle Sum:

This is the formula that tells us that the number of angles in a triangle is 180.

hence

m∠2 + m∠3 + m∠5 = 180°

The linear pair has it that the angles that are in a straight line is 180 degrees. Hence m∠5 + m∠6 = 180°

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Answer:

C

Step-by-step explanation:

Because for every x value there is only one y value

Answer:

B.  43.2

Step-by-step explanation:

The volume of the given sphere is 6040.93 cubic cm

A sphere is a geometrical object that is a three-dimensional analogue to a two-dimensional circle.

The formula for calculating the volume of a sphere is expressed as:

V = 1/3pir^3

where

r is the radius of the sphere

Given the following parameters

r = 11.3cm

Substitute the given radius into the formula to have:

V = 1/3(3.14) * 11.3^3

V = 18122.78632/3

V = 6040.93 cubic cm

Hence the volume of the given sphere is 6040.93 cubic cm

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The accountant's suspicion that the mean meal expenditure is different from $51 per day is supported by the hypothesis test. The evidence suggests that the mean expenditure is significantly higher than $51, based on the sample data collected.

In this case, the computed t-value is calculated as t = 2.449. By comparing this t-value to the critical t-values or by calculating the p-value, we can determine if the null hypothesis should be rejected.

Based on the p-value, if it is less than alpha (p < α), it means that the probability of obtaining a sample mean as extreme as $56, assuming the true mean is $51, is less than 5%. Therefore, we reject the null hypothesis.

The conclusion is that there is sufficient evidence to suggest that the mean meal expenditure is different from $51 per day. The accountant's skepticism is justified based on the data provided.

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Answer:

Step-by-step explanation:

If the related function is decreasing when x < 0, it means that as x decreases (moves to the left on the x-axis), the corresponding y-values of the function decrease as well. In other words, the function is getting smaller as x becomes more negative.

Given that the zeros of the function are -2 and 2, it means that when x = -2 or x = 2, the function evaluates to zero. This means that the graph of the function intersects the x-axis at x = -2 and x = 2.

Based on this information, we can conclude that the related function starts from positive values, decreases as x moves to the left (x < 0), and intersects the x-axis at x = -2 and x = 2.

Answer:

5

Step-by-step explanation: