Find the zeros of the functions
h (x) = 4x squared +36

Answer:

kindly update the question

Answer:

Using the distributive property of multiplication we get:

Using the slope concept, it is found that the angle measurement has to be within 1.2º of 30º.

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem, considering the horizontal distance and the actual angle, the following equation is applied to find the actual height:

\(\tan{30^\circ} = \frac{h}{25}\)

\(h = 25\tan{30^\circ}\)

h = 14.43.

For an error of 5%, the bounds of h are as follows:

\(h_{min} = 0.95 \times 14.43 = 13.71\)

\(h_{max} = 1.05 \times 14.43 = 15.15\)

Hence, the angles will be given by:

\(\tan^{\alpha} = \frac{13.71}{25}\)

\(\alpha = \tan^{-1}{\left(\frac{13.71}{25}\right)}\)

\(\alpha = 28.8\)

\(\tan^{\alpha} = \frac{15.15}{25}\)

\(\alpha = \tan^{-1}{\left(\frac{15.15}{25}\right)}\)

\(\alpha = 31.2\)

Hence the angle measurement has to be within 1.2º of 30º.

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Answer:

3(x + 2)^2 = 48 are x = 2 and x = -6

Step-by-step explanation:

To solve the equation 3(x + 2)^2 = 48, we can follow these steps:

Expand the square by multiplying (x + 2) by itself: (x + 2) * (x + 2).

Simplify the expanded equation: 3(x^2 + 4x + 4) = 48.

Distribute the 3 to each term inside the parentheses: 3x^2 + 12x + 12 = 48.

Move all terms to one side of the equation by subtracting 48 from both sides: 3x^2 + 12x + 12 - 48 = 0.

Simplify the equation: 3x^2 + 12x - 36 = 0.

Divide the entire equation by 3 to simplify it further: x^2 + 4x - 12 = 0.

To solve the quadratic equation, we can use factoring, completing the square, or the quadratic formula.

Factoring: Factor the quadratic equation into two binomials: (x - 2)(x + 6) = 0.

Setting each factor to zero gives us two possible solutions: x - 2 = 0 or x + 6 = 0.

Solve for x: x = 2 or x = -6.

Therefore, the solutions to the equation 3(x + 2)^2 = 48 are x = 2 and x = -6.

Based on the given information, the amount of capital this year (K1) could be something less than 25 (option c).

To determine the amount of capital this year based on the given information, we can use the investment and depreciation rates.

Let's denote the amount of capital this year as K1.

According to the information provided:

People invest 55% of income, but we don't have any information about income. Therefore, we cannot determine the exact investment amount.

10% of capital depreciates. Based on this, the capital at the beginning of this year (K1) can be calculated as follows:

K1 = K - 0.1K

= 0.9K

Since we know that the capital last year was equal to 25, we substitute K = 25 into the equation above:

K1 = 0.9 * 25

= 22.5

Therefore, based on the given information, the amount of capital this year (K1) could be something less than 25 (option c).

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Answer:

k=70

Step-by-step explanation:

to get k by itself you need to multiply k/7 by 7, and you multiply on both sides. 10 times 7 =70

Answer:

Step-by-step explanation:

k/7 = 10

or, k = 7*10

Therefore, k=70.

Answer:

Step-by-step explanation:

Coterminal angles are angles in standard position (angles with the initial side on the positive x -axis) that have a common terminal side. For example 30° , −330° and 390° are all coterminal.

Answer:

Step-by-step explanation:

Coterminal angles have a difference of 360° or multiples of 360°.

Negative coterminal angle with 30° is:

Answer:

\(\frac{1}{3}\)

Step-by-step explanation:

you multiply the denominator with the denominator and the numerator with the numerator

\(\frac{5}{6}x\frac{2}{5}\)

\(\frac{5x2}{6x5}\)

\(\frac{10}{30}\)

\(\frac{1}{3}\)

Hopes this helps please mark brainliest

aggreed very mean.....

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The productivity of the truck in bank measure is most nearly 32.3 (option C).

To calculate the productivity of the truck in bank measure, we need to convert the loose density to bank density. Bank measure refers to the volume of material when it is compacted or in its natural state, while loose measure refers to the volume of material when it is loose or not compacted.

The formula to convert loose density to bank density is as follows:

Bank Density = Loose Density / (1 + Moisture Content)

Since the moisture content is not provided in the question, we assume it to be zero for simplicity. Therefore, the bank density is equal to the loose density.

Next, we need to calculate the truck's productivity in bank measure. The formula for productivity is:

Productivity = Truck Capacity / Cycle Time

However, the truck capacity and cycle time are not provided in the question. Therefore, we cannot directly calculate the productivity.

Given that we have the specifications of the truck's density, we can make an estimation based on industry standards. A common truck capacity for earth hauling is around 20 cubic yards. The cycle time can vary depending on factors such as loading and dumping time, travel distance, and road conditions. For estimation purposes, let's assume a cycle time of 30 minutes (0.5 hours).

Using these values, we can calculate the productivity as follows:

Productivity = Truck Capacity / Cycle Time

Productivity = 20 / 0.5

Productivity = 40 cubic yards per hour

However, the productivity is measured in bank measure (yd³/hr), so we need to adjust the result based on the bank density.

Adjusted Productivity = Productivity * (Loose Density / Bank Density)

Adjusted Productivity = 40 * (100 / 110)

Adjusted Productivity ≈ 32.3 cubic yards per hour (bank measure)

Therefore, the productivity of the truck in bank measure is most nearly 32.3 (option C).

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9514 1404 393

Answer:

Step-by-step explanation:

g(2) = 4(2^2) -9 = 4(4) -9 = 7

f(7) = 7+7 = 14

f(g(2)) = 14

__

f(-2) = -2 +7 = 5

g(5) = 4(5^2) -9 = 4(25) -9 = 91

g(f(-2)) = 91

Answer:

\(5 \sqrt{8}\)

Answer:

?=-1.4

Step-by-step explanation:

The number that fits the ? is -1.4. Hope it helps!

Answer:

-1.4

Step-by-step explanation:

Answer:

41°

Step-by-step explanation:

SOHCAHTOA

Sine = Opposite / Hypotenuse

Cosine = Adjacent / Hypotenuse

Tangent = Opposite / Adjacent

tanx = opp / adj

opposite from angle x is 12 centimeter side

adjacent to angle x is 14 centimeter side

the other side is the hypotenuse because it is opposite the right angle

tanx = 12 / 14

use the inverse tangent button (usually press 2nd or shift on calculator and then press tangent button):

Type in calculator: \(tan^{-1}(\frac{12}{14})\)

The volume of the helium-filled balloon at 0.855 atm and 10.0 °C will be approximately 42.81 L, calculated using the ideal gas law equation.

To compute this problem, we can use the ideal gas law, which states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin.

First, we need to convert the initial temperature of 25 °C to Kelvin:

T1 = 25 + 273.15 = 298.15 K

Next, we can rearrange the ideal gas law equation to solve for V2:

V2 = (P1 * V1 * T2) / (P2 * T1)

We have:

P1 = 1.08 atm (initial pressure)

V1 = 50.0 L (initial volume)

P2 = 0.855 atm (final pressure)

T2 = 10.0 °C (final temperature)

Converting the final temperature to Kelvin:

T2 = 10 + 273.15 = 283.15 K

Substituting the values into the equation:

V2 = (1.08 * 50.0 * 283.15) / (0.855 * 298.15)

V2 ≈ 42.81 L

Therefore, the volume of the helium-filled balloon at 0.855 atm and 10.0 °C will be approximately 42.81 L.

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Given the following trinomial:

Since the given trinomial is quadratic, there are two factors in this equation.

Step 1: Determine the factors of the first term, 2x².

There are no other possible factors of 2x² but 2x and x.

Therefore, we can now generate the initial factors.

Let A and B represent the unknown constants of the factors to be able to get the product of 2x² + 7x + 4.

Step 2: Let's determine A and B.

Let's think of possible constants of A and B that have a product of 4 and a sum of 7x when adding A multiplied by x and B multiplied by 2x.

Let's list down possible pairs.

TABLE

Sum of 4 (A and B) Sum of 7x

1 and 4 1(x) + 4(2x) = x + 8x = 9x

2 and 2 (2)(x) + 2(2x) = 2x + 4x = 6x

4 and 1 4(x) + 1(2x) = 4x + 2x = 6x

-1 and -4 -1(x) - 4(2x) = -x - 8x = -9x

-4 and -1 -4(x) - 1(2x) = -4x - 2x = -6x

None of the possible factors are possible to complete the equation, therefore, we can say that the given trinomial is not a perfect square and is not factorable.

If we are tasked to factor the trinomial by completing the square, we get:

The constant must be 3 and not 4 for it to be factorable and will

give you (2x + 1)(x + 3) = -1.

a. The initial cost or the percentage increase, we cannot calculate the exact value of the new annual heating oil cost.

b. To accurately calculate the new annual heating oil cost and the total annual rental expenses, we need additional information such as the initial cost, the percentage increase in oil prices and the initial annual rental expenses.

The initial annual heating oil cost and the percentage increase in worldwide oil prices that led to the $185 annual increase.

Additionally, we need information regarding Brady's annual rental expenses before any changes.

Let's consider the steps you can take to calculate the new annual heating oil cost and the total annual rental expenses.

To determine the new annual heating oil cost, we need to know the initial cost and the percentage increase in oil prices.

Let's assume the initial annual heating oil cost is X dollars.

If the rise in oil prices leads to a $185 annual increase, we can set up the equation as:

X + 185 = New Annual Heating Oil Cost

The initial cost or the percentage increase, we cannot calculate the exact value of the new annual heating oil cost.

Similarly, we require the initial annual rental expenses for Brady in order to calculate the total annual rental expenses now.

If you can provide the initial annual rental expenses, we can add that to any relevant changes or adjustments to determine the new total annual rental expenses.

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Answer:

{5, 6, 7}

Step-by-step explanation:

When we have a given relation, the domain is the set of inputs, and the range as the set of the outputs.

so for a function f(x), and a domain {a. b. c}

The range is:

{f(a), f(b), f(c)}

In this case, we have:

f(x) = x + 6

and the domain is {-1, 0, 1}

Then the range is:

{ f(-1), f(0), f(1) }

{-1 + 6, 0 + 6, 1 + 6}

{5, 6, 7}

The correct option is the third one.

Five number summary consist of b. First quartile, a. Standard deviation, c. Minimum value, e. Maximum value i Mode, h. Variance, f. Third quartile, j. Mean, g. interquartile range, d. median.

If the data are graphed symmetrically, the distribution demonstrates 0% skewness regardless of how long or fat the tails are. When the median of a data set is utilized, 50% of the data points in the collection have values lower than or equal to the median, and 50% of them have values greater than or equal to the median. The middle score in the set is known as the median. The first step in calculating the median is to order the data points from smallest to greatest. The median in an odd-numbered set will be the value that falls exactly in the middle of the list. You must determine the average of the two middle numbers in a set of even numbers. The average is determined by summing up each value individually and dividing that sum by the total number of observations.

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The transverse axis and foci of the hyperbola are on the x-axis.

To determine whether the transverse axis and foci of the hyperbola are on the x-axis or the y-axis, we need to look at the equation of the hyperbola:

(y²)/10 - (x²)/16 = 1

We can rewrite this equation as:

(x²)/16 - (y²)/10 = -1

Compare this equation with standard form

(x²/a²) - (y²/b²) = 1

The transverse axis of the hyperbola is along the x-axis, since the term with x² is positive and the term with y² is negative.

This means that the hyperbola opens horizontally.

To find the foci of the hyperbola, we need to use the formula:

c = √a² + b²

c =  √16 + 10) =  √26

The foci of the hyperbola are located along the transverse axis, so they are on the x-axis.

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9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

The angle bisector divides the sides proportionally.

  (3x -12)/6 = 21/14

  3x -12 = 9 . . . . . . . multiply by 6 and simplify

  x -4 = 3 . . . . . . . .  divide by 3

  x = 7 . . . . . . . . . . . add 4

The total mass of Dweezildorp's atmosphere from the planet's surface to an elevation of 5000 meters is approximately 5.03 x 10¹⁰ kilograms.

Given information: Radius of Dweezildorp, r = 1000 meters Density of the planet's atmosphere = d = 5000 – 0.01pWhere p is the distance from the planet's center.

The expression for Dweezildorp's atmospheric density is:

d = 5000 – 0.01p

To calculate the total mass of Dweezildorp's atmosphere from the planet's surface to an elevation of 5000 meters, we have to find out the total volume of the atmosphere from the planet's surface to an elevation of 5000 meters.

Volume of Dweezildorp:

V = (4/3)πr³ = (4/3)π(1000)³ cubic meters

We know that:

p = r + hWhere h is the height (elevation) above the planet's surface, andp is the distance from the planet's center.p - r = hSo, the height above the planet's surface (or elevation) is given by:

h = p - r

Given that the distance from the planet's center is 5000 meters (to an elevation of 5000 meters),

h = p - r

= 5000 - 1000

= 4000 meters

Therefore, the total volume of Dweezildorp's atmosphere from the planet's surface to an elevation of 5000 meters is given by:

Vᵢ = (4/3)πr³ (d = 5000 – 0.01p)

We will now integrate Vᵢ with respect to h from 0 to 4000, and solve for mass to find the total mass of Dweezildorp's atmosphere from the planet's surface to an elevation of 5000 meters.

Total mass of Dweezildorp's atmosphere from the planet's surface to an elevation of 5000 meters is given by:

M = ∫(4/3)πr² (d = 5000 – 0.01p)

dhwhere limits of integration are 0 and 4000So,

M = ∫(4/3)πr² (5000 – 0.01p) dh

limits: 0 to 4000

= (4/3)πr² [5000h - 0.005h²]

limits:

0 to 4000

= (4/3)π(1000)² [5000(4000) - 0.005(4000)²]

= (4/3)π(10⁶) [20,000,000 - 8,000,000]

= (4/3)π(10⁶) [12,000,000]

The total mass of Dweezildorp's atmosphere from the planet's surface to an elevation of 5000 meters is:

M = 16 x 10¹² π

≈ 5.03 x 10¹³ grams or 5.03 x 10¹⁰

kilograms (rounded to two decimal places)

Hence, the total mass of Dweezildorp's atmosphere from the planet's surface to an elevation of 5000 meters is approximately 5.03 x 10¹⁰ kilograms.

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The volume of the coffee can rounded to the nearest 10th of a decimal place is 226. 08 cubic inches

It is important to note that the coffee can takes the shape of a cylinder.

The formula for calculating the volume of a cylinder is expressed with the equation;

V = πr²h

This is so as the parameters are enumerated thus;

Also, r = diameter/2 = 6/2 = 3 inches

From the information given, we have that;

Volume = 3.14 × (3)² × 8

Multiply the values

Volume = 226. 08 cubic inches

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The entry to record the purchase will include: a debit to Supplies and a credit to Accounts Payable

Now, given: Purchased supplies = $500 (on account).

To find: What does entry to record the purchase include?

Now,

Hence, the entry to record the purchase will include: a debit to Supplies and a credit to Accounts Payable.

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Answer:

Step-by-step explanation:

h=vt-16t²+s

t= -b/2a

t= -2/.4

t=5 seconds

h= -0.2(5)²+2(5)

h= -0.2(25)+10

h= -5+10

h= 5ft

It takes 5 sec. to reach its max height so it will take 5 sec. to hit the ground so 5+5=10 10 sec. total.

b. Incremental pricing is correct answer.

Incremental pricing is a pricing strategy that focuses on covering only the variable costs associated with exporting a product. It does not take into account fixed costs such as overhead expenses or other costs that are not directly related to the production and export of the product.

On the other hand, the other options mentioned do consider fixed costs in setting the price for export:

a. Flexible cost-plus method: This method considers both variable costs and fixed costs, and adds a markup or profit margin to determine the export price.

c. Standard worldwide price: This strategy sets a uniform price for the product across different markets, taking into account both variable and fixed costs.

d. Rigid cost-plus method: Similar to the flexible cost-plus method, this approach includes both variable and fixed costs in setting the price for export.

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Answer:

Step-by-step explanation:

for 5 feet is $60

2 feet is $150.

sorry if this doesn't help!

The number of tree shades and evergreens will be 42 and 36, respectively.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

An engineer purchased 78 trees at an all-out cost of $4050. The overhanging trees cost $45 each and the evergreens cost $60 each.

Let 'x' be the number of tree shades and 'y' be the number of evergreens. Then the equations are given as,

x + y = 78                               ...1

45x + 60y = 4050                ...2

From equations 1 and 2, then we have

45(78 - y) + 60y = 4050

15y = 540

y = 36

Then the number of tree shades will be given as,

x + 36 = 78

x = 78 - 36

x = 42

The number of tree shades and evergreens will be 42 and 36, respectively.

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The required answer for the best unit for measurements is Solid B.

Given that, solid A is measured in inches, Solid B is measured in centimeters and Solid C is measured in feet.

To determine which solids use the best for measurements, consider the units that are most appropriate and convenient for the given situation.

Solid A is measured in inches(") which is commonly used in the United States. If the moving process happening within the United States and the other measurements in the surrounding environment are in inches, then only Solid A would be the most suitable choice.

Solid B is measured in centimeter (cm) which is metric unit in many others countries around the world . If the moving process happening within the countries where the standard unit is centimeter and the other measurements in the surrounding environment are in centimeter , then only Solid B would be the most suitable choice.

Solid C is measured in feet (') which is commonly used in the United States. If the moving process happening within the United States and the other measurements in the surrounding environment are in feet, then only Solid C would be the most suitable choice.

Hence, the required answer for the best unit for measurements is Solid B.

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\(\frac{AB}{A"B"} = \frac{1}{4}\)  equation clearly illustrates how AABO and AA"B"C relate to one another.

An equation is, for instance, 3x - 5 = 16. We can solve this equation and determine that the value of the variable x is 7.

The three main types of linear equations are the slope-intercept form, standard form, and point-slope form.

Considering the data:

Dilation by a scale factor of 4 from the origin in the form of an A'B'C' reflection over x = 1

<=> The two triangles are comparable to one another since triangles can have the same shape but differ in size, so A′′B′′C′′ is 4 times larger than ABC.

=> the connection between "ABC" and "A"B"C" .

\(\frac{AB}{A"B"} = \frac{1}{4}\)

We settle on C.

\(\frac{AB}{A"B"} = \frac{1}{4}\)  equation clearly illustrates how AABO and AA"B"C relate to one another.

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There are approximately 0.4594 acres in 2.0 hectares.

We need to use the conversion factor between hectares and acres.

Given:

\(1 hectare = 1\) × \(10^4 m^2\)

\(1 acre = 4.356\) × \(10^4 ft\)

To find the number of acres in 2.0 hectares, we can set up the following conversion:

\(2.0 hectares * (1\) × \(10^4 m^2 / 1 hectare) * (1 acre / 4.356\) × \(10^4 ft)\)

Simplifying the units:

\(2.0 * (1\) × \(10^4 m^2) * (1 acre / 4.356\) ×\(10^4 ft)\)

Now, we can perform the calculation:

\(2.0 * (1\) × \(10^4) * (1 /\)\(4.356\) ×\(10^4)\)

= 2.0 * 1 / 4.356

= 0.4594

Therefore, there are approximately 0.4594 acres in 2.0 hectares.

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