Divide. Write in simplest form.

2/3 divided by 1/5

Answer:

6-4 because if you meausure it by the sides

Answer:

37/50

Step-by-step explanation:

Step 1) Multiply 7/10 by 5/5 to get 35/50

Step 2) Add 3/50 and 35/50

Step 3) 3/50+ 35/50= 37/50

The right answer is option B, which is "As x → ∞, f(x) → ∞, and as x → –∞, f(x) → –∞."

A function from a set X to a set Y allocates precisely one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain. Originally, functions were the idealization of how a variable quantity depended on another quantity.

Here,

First, you must graph all of the supplied points in the table in order to establish the final behavior.

Remember that the behavior of f(x) as x approaches positive and negative infinity is the end behavior of a function.

According to the graph, as x approaches positive infinity, f(x) approaches negative infinity, and as x approaches negative infinity, f(x) approaches negative inifinity. In other words, f(x) always approaches negative infinity in any situation.

The correct answer is option B that is "As x → ∞, f(x) → ∞, and as x → –∞, f(x) → –∞."

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Answer:

Its 12

Step-by-step explanation:

Ok done

Answer:

For x² + kx + 16/9 to be a perfect square, k should be equal to 8/3

Step-by-step explanation:

If x² + kx + 16/9 is a perfect square then it must satisfy the formula of (a + b)² i.e. equal to a² + 2ab + b².

So, first we will form a equal that looks similar to the formula:

\( \rm \implies {x}^{2} + kx + \dfrac{4 \times 4}{3 \times 3} \\ \\ \rm \implies {x}^{2} + kx + { \bigg( \dfrac{4}{3} } \bigg)^{2} \)

Now by comparing we get,

\( \rm \implies k \cancel{x} = 2 \times \cancel{x}\times \frac{4}{3} \\ \\ \rm \implies k = \dfrac{8}{3} \)

Answer:

38

Step-by-step explanation:

$9/hour = 15 cents per minute. $5.70/0.15 = 38 minutes.

Answer:

38 minutes

Step-by-step explanation:

Answer:

Explanation:

The arithmetic sequence formula is generally given as;

From the given sequence, we can see that;

Let's now substitute the above values into the AP formula;

Answer:

There are 14,512 people in the town in 2005.

Step-by-step explanation:

Answer:

y = 2x + 6

y = -1/4 x - 3

Step-by-step explanation:

We can read from the graph that the equation that slopes up to the right has y-intercept 6 and slope 2. The equation that slopes down to the right has y-intercept -3 and slope -1/4.

The equations are:

y = 2x + 6

y = -1/4 x - 3

The statement the most frequently used graphic in reports is the table is false because tables are not typically the most frequently used graphic in reports.

While tables are commonly used in reports to present structured and detailed information, they are not typically the most frequently used graphic. Instead, other types of visuals such as charts, graphs, and diagrams are often employed to present data and communicate information more effectively.

Graphical representations like bar charts, line charts, pie charts, and scatter plots are widely used in reports to visualize patterns, trends, comparisons, and relationships in the data. These visualizations offer a concise and visually appealing way to convey information, making it easier for readers to understand complex data.

Tables, on the other hand, are more suitable for presenting precise numerical values, categorical information, or detailed breakdowns. They are useful for displaying large datasets or providing specific values for reference. However, their format can be dense and may require closer scrutiny, making them less visually impactful compared to graphical representations.

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Answer:

28.65 yds (If you have to round do 29)

Step-by-step explanation:

a^2 + b^2 = c^2

14^2 + 25^2 = c^2

196 + 625 = 821

since c is squared you have to find the square root of 821

821 squared equals 28.65 yards

Answer:

x = 5

When you sell 5 units, the revenue and the production cost would be equal.

Step-by-step explanation:

Given

C represents the cost in dollars

R represents the revenue in dollars

To determine

What is the break-even point?

Break-even point:

We know that the cost gets equal to revenue at the break-even point.

i.e.

\(C = R\)

substitute C=15x+150 and R=45x

\(15x+150 = 45x\)

\(45x - 15x = 150\)

\(30x = 150\)

divide both sides by 30

\(\frac{30}{30}x\:=\:\frac{150}{30}\)

\(x = 5\)

Therefore, when you sell 5 units, the revenue and the production cost would be equal.

We can express this as:

x + 2x = £3.45

We can solve for x with no additional work.

x + 2x = £3.45
3x = £3.45
3x/3 = £3.45/3
x = £1.15

Im guessing you're British by the use of the £ symbol, and I don't understand what "dearer" means as in America we don't use that term. I'll just give you both values.

x = £1.15 (this is the first book)
2x = £2.30 (this is the second book, which costs twice as much as the first.)

Answer:

m = 0

Step-by-step explanation:

1. use the slope formula --> (y2-y1)/(x2-x1)

2. (6 - 6)/(11 - 3)

3. 0/8

4. m = 0

Answer:

x=8

KN=24

LK is congruent to LM

LN is congruent to NL

Answer: x = 8

             MN = 52

             LK is congruent to LM

             LN is  congruent to NL

ΔKLN and ΔMLN have:

LN ≅ LN

∠K = ∠M = 90°

∠KLN = ∠MLN

=> ΔKLN ≅ ΔMLN

=> KN = MN

=> 7x -4 = 5x + 12

⇔ 2x = 16

⇔ x = 8

=> KN = MN = 7.8 - 4 = 52

Step-by-step explanation:

Cohen's conventions for interpreting d, this effect is small. Therefore, the correct answer is a. small.

According to Cohen's conventions for interpreting the effect size (d), the effect described in the study is considered "small." Cohen's conventions provide a general guideline for categorizing the magnitude of an effect size.

In this case, the effect size (d) is calculated to be 0.02. Cohen's conventions typically classify effect sizes as follows:

Small effect: d = 0.2

Medium effect: d = 0.5

Large effect: d = 0.8

Since the effect size of 0.02 is significantly smaller than the threshold for a small effect (0.2), it falls into the "small" category. This means that the difference in the number of words uttered per day between men and women, as reported in the study, is relatively small or negligible in practical terms.

Therefore, the correct answer is a. small.

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(a) tangent line to the graph of f(x) = x^3 at the point (4,2).

(b) equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12).

(a) To find the equation of the tangent line to the graph of f(x) = x^3 at the point (4,2), we need to find the slope of the tangent line at that point. We can do this by taking the derivative of f(x) with respect to x and evaluating it at x = 4. The derivative of f(x) = x^3 is f'(x) = 3x^2. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Once we have the slope, we can use the point-slope form of a linear equation to write the equation of the tangent line.

(b) Similarly, to find the equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12), we differentiate f(x) to find the derivative f'(x). The derivative of f(x) = x^2 - x is f'(x) = 2x - 1. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Using the point-slope form, we can write the equation of the tangent line.

In both cases, the equations of the tangent lines will be in the form y = mx + b, where m is the slope and b is the y-intercept.

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The measure of the central angle that subtends the given arc is approximately 34.38°. It can be found using the formula: Central Angle = (Arc Length / Circumference) * 360°

In this case, the arc length is given as 3 miles and the radius of the circle is given as 5 miles. To find the circumference of the circle, we can use the formula: Circumference = 2 * π * radius
Substituting the given radius value, we get: Circumference = 2 * π * 5 miles
Now, we can calculate the central angle: Central Angle = (3 miles / (2 * π * 5 miles)) * 360°
Simplifying the expression, we get: Central Angle = (3 / (2 * π * 5)) * 360°
Calculating the value, we get: Central Angle ≈ 34.38°
Therefore, the measure of the central angle that subtends the given arc is approximately 34.38°.

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Answer:

this answer is XZ^787*VYZX^885687

Step-by-step explanation:

its not right but i tried

After analysing the given data we conclude that the height of the streetlight is 29.4 feet, under the condition that a six-foot man places a 15 foot shadow. At the same time a streetlight casts an 80-foot shadow.

Now Let us consider the height of the streetlight "h".
The given angle of elevation is 52.5 degrees. This projects that the angle between the horizontal line and the line of sight to the top of the streetlight is 52.5 degrees.
We can apply the tangent function to evaluate h. tan(52.5) = h/20.
Evaluating  for h, we get h = 20 × tan(52.5) = 29.4 feet (rounded to one decimal place).
Therefore, the height of the streetlight is approximately 29.4 feet.
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The complete question is
A six-foot man casts a 15 foot shadow. At the same time a streetlight casts an 80-foot shadow.
The same six-foot tall man wants to indirectly measure the streetlight in screen 3. But it is a cloudy day and there are no shadows. So holding his phone by his eye, he uses the "level" feature on the Measure app to sight the top of the streetlight. Standing 20 feet away he finds an angle of elevation of 52.5 degrees.
Write and solve an equation to determine the height of the streetlight.

When 100 ft of rope is out, the rate at which the boat is approaching the dock is 0 ft/min which means the boat is not moving towards the dock at that moment.

Let x represent the horizontal distance between the boat and the dock (in feet).

Let y represent the vertical distance between the boat and the pulley (in feet).

Since the rope is attached to the front of the boat, which is 10 feet below the level of the pulley, we have y = 10 ft.

The rate of change of the length of the rope, which is related to the distance between the boat and the dock, is dx/dt = 12 ft/min.

We want to find the rate at which the boat is approaching the dock, which is the rate of change of x with respect to time (dx/dt) when 100 ft of rope is out.

Now, let's set up the similar triangles between the boat, the pulley, and the dock.

x / y = (x + 100) / 100

Now, we can differentiate both sides of this equation with respect to time t:

d(x/y)/dt = d((x + 100) / 100)/dt

To solve for dx/dt, we need to differentiate x/y and (x + 100)/100 with respect to time.

Using the quotient rule, we have:

(dx/dt × y - x × dy/dt) / (y²) = (1/100) × (dx/dt)

Substituting y = 10 and dy/dt = 0 (since the pulley is fixed), we get:

(dx/dt × 10 - x × 0) / (10²) = (1/100) × (dx/dt)

10 × dx/dt = (1/100)×(dx/dt)

10 × dx/dt - (1/100) × dx/dt = 0

(1000/100 - 1/100) × dx/dt = 0

(999/100) × dx/dt = 0

dx/dt = 0

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The correct option from the given options is (a) a lower bound on how many donuts he can eat in one sitting.

A lower bound is a value which is equal to or greater than the minimum value of a set. In this given scenario, eight donuts are a lower bound on how many donuts a teenager can eat in one sitting. He might be able to eat more than eight donuts in one sitting but he cannot eat less than eight donuts in one sitting because it's a lower limit.

A lower limit or a lower bound is an absolute minimum. It is the minimum number of donuts that the teenager can consume in one sitting. In this scenario, there is a possibility that the teenager might eat more than eight donuts, but the lower limit is eight.

Therefore, the correct option is (a) a lower bound on how many donuts he can eat in one sitting.

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Answer:

$10.25

Step-by-step explanation:

95/.1=9.5

9.5*9=85.5

85.5/8

=10.25

The measure of angle 46 is 89°.

The measure of angle 6 is equal to (2x-5). To calculate the measure of angle 46, we first need to add 40 to the measure of angle 6. This is because the measure of angle 6 is the reference angle and the measure of angle 46 can be calculated by adding the supplement of angle \(6 (90-6=84)\) to the reference angle. Thus, the measure of angle 46 can be calculated using the formula: measure of angle \(46 = (2x-5) + 84\). Solving for x, we get x = 45. Therefore, the measure of angle 46 is equal to \((2x-5) = (2*45-5) = 89.\)

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The lengths of all four sides of parallelogram ABCD:

AB = 15 cm, BC = 33 cm, CD = 15 cm and AD = 33 cm

Consider a parallelogram ABCD

Let's assume that x represents the length of sides AD and BC

y be the length of sides AB and CD

We know that the formula for the perimeter of parallelogram is

P = 2(length + width)

Here,  AD is 3 cm more than twice AB

So we get an expression,

AD = 3 + 2(AB)

AD = 3 + 2y

x  = 3 + 2y

USing above formula of perimeter, the perimeter of parallelogram ABCD would be,

P = 2(x + y)

96 = 2(3 + 2y + y)

48 = 3 + 3y

45 = 3y

y = 15 cm

And x = 3 + 2(15)

x = 33 cm

Therefore, the lengths of sides AD and BC =  33 cm and the lengths of sides AB and CD = 15 cm

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Answer:

(4,0)

Step-by-step explanation:

Answer:

the answer may be 127.

Step-by-step explanation:when you add 90° + 37° you will get the answer 127

I am not sure.