A composite figure is shown.

A five-sided figure with two parallel bases. The top one is 4.6 inches. The vertical height between these bases is 3.15 inches. That vertical height intersects the bottom base, leaving 3.3 inches between it and the vertex to the left. The side on the right is the longest at 6.3 inches. There is a horizontal line connecting the vertex of the bottom base to the 6.3-inch side and that line is 3 inches.

Which of the following represents the total area of the figure?

10.663 in2
24.413 in2
28.448 in2
34.335 in2

Answer:

C. Fertility= Nutrients * Moisture / Pollutant

Step-by-step explanation:

F=NM/P

F= Fertility of the soil

N= Amount of nutrients in the soil

M= Amount of moisture in the soil

P= Amount of pollutant in the soil

F=NM/P

Fertility of the soil

= Amount of nutrients in the soil * Amount of moisture in the soil / Amount of pollutant in the soil

Fertility= Nutrients * Moisture / Pollutant

Option C is the correct answer

Answer:

-1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

2(3x - 1) ≥ 4x - 6

Step 2: Solve for x

Here we see that any value x greater than or equal to -2 would work as a solution.

That's wrong. Bloemfontein and Upington are cities in South Africa that are quite far apart, and the distance between them is much greater than 163.8 km. In reality, the distance from Bloemfontein to Upington is approximately 687 km by road. It's important to ensure the accuracy of information when discussing distances between locations.

An atom with mass number 16 and nine neutrons corresponds to nitrogen (N). The compound with 10.0 g carbon and 13.32 g oxygen has 57.1% oxygen, while the compound with 10.0 g carbon and 26.64 g oxygen has 72.8% oxygen. The atomic symbol for an atom with 16 neutrons and atomic number 15 is \(^{31}P\) (phosphorus isotope). Elements Li, Na, K, Rb are Alkali Metals; Be, Mg, Ca, Sr, Ba are Alkaline Earth Metals; F, Cl, Br, I are Halogens; He, Ne, Ar, Kr, Xe, Rn are Noble Gases.

Part a) An atom with a mass number of 16 and nine neutrons would have an atomic number of 7. The atomic number represents the number of protons in an atom, which uniquely identifies an element.

Therefore, the element with an atomic number of 7 is nitrogen (N). Nitrogen has a mass number of 14, but the given atom has an additional two neutrons.

Part b) To calculate the percentage of oxygen in a compound, we need to determine the mass of oxygen relative to the total mass of the compound and multiply by 100.

Compound 1: 10.0 g carbon + 13.32 g oxygen

The total mass of the compound is 10.0 g + 13.32 g = 23.32 g.

The mass percentage of oxygen is (13.32 g / 23.32 g) × 100% = 57.1%.

Compound 2: 10.0 g carbon + 26.64 g oxygen

The total mass of the compound is 10.0 g + 26.64 g = 36.64 g.

The mass percentage of oxygen is (26.64 g / 36.64 g) × 100% = 72.8%.

Part c) An atomic symbol represents an element and includes its atomic number as a subscript and the mass number as a superscript. Given 16 neutrons and an atomic number of 15, the element is phosphorus (P).

The atomic symbol for this isotope of phosphorus is ^31P (with 15 as the atomic number and 31 as the mass number).

Part d)

Alkali Metals: Li, Na, K, Rb

Alkaline Earth Metals: Be, Mg, Ca, Sr, Ba

Halogens: F, Cl, Br, I

Noble Gases: He, Ne, Ar, Kr, Xe, Rn

Alkali Metals: Li, Na, K, Rb

Alkaline Earth Metals: Be, Mg, Ca, Sr, Ba

Halogens: F, Cl, Br, I

Noble Gases: He, Ne, Ar, Kr, Xe, Rn

Therefore, the elements can be classified as follows:

Alkali Metals: Li, Na, K, Rb

Alkaline Earth Metals: Be, Mg, Ca, Sr, Ba

Halogens: F, Cl, Br, I

Noble Gases: He, Ne, Ar, Kr, Xe, Rn

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The probability of winning on the fourth ticket is 0.83%.

Given, The probability of winning based on the type of lottery tickets we purchase is 0.05 or 1 in 20.

This means that the probability of winning is 1/20=0.05.We will play each Saturday until we win.

This statement gives us a hint that we need to find the probability of winning after four attempts/tries

Let the probability of not winning be (1-0.05)=0.95.

Now, the probability of not winning after 4 tries is:P(N) = 0.95 x 0.95 x 0.95 x 0.95 = 0.8145

The probability of winning on the fourth ticket is equal to the probability of not winning in three tickets (0.8145) multiplied by the probability of winning on the fourth ticket (0.05).

Thus, the probability of winning on the fourth ticket is:0.8145 x 0.05 = 0.040725 or 0.04

Summary: The probability of winning based on the type of lottery tickets we purchase is 0.05 or 1 in 20. We will play each Saturday until we win. The probability of winning on the fourth ticket is 0.83%.

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CP hens remianing = 5000

Gina caught the longer fish, relative to fish of the same species.

As given, the mean length of bluefish is 284 mm and standard deviation is 39 mm. While the mean length of pompano is 123 mm with a standard deviation of 34 mm.

Stewart caught a bluefish that was 322 mm long, and Gina caught a pompano that was 176 mm long. Let us find out who caught the longer fish, relative to fish of the same species.

The z-score for Stewart's bluefish can be found as follows:

z = (x - μ) / σ, where x is the observed value, μ is the mean, and σ is the standard deviation. Thus,

z = (322 - 284) / 39 = 0.974.

The z-score for Gina's pompano can be found as follows:

z = (x - μ) / σ, where x is the observed value, μ is the mean, and σ is the standard deviation. Thus,

z = (176 - 123) / 34 = 1.56.

Comparing the z-scores, Gina's pompano is further from the mean of its species than Stewart's bluefish is from the mean of its species.

Therefore, Gina caught the longer fish, relative to fish of the same species.

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The sampling technique used in this scenario is a) random sampling. The researcher interviews all passengers on five randomly selected flights.

The sampling technique used in this scenario is random sampling. Random sampling involves selecting individuals from a population in such a way that each individual has an equal chance of being chosen. In this case, the researcher selects five flights at random, and then interviews all passengers on those selected flights.

Random sampling helps ensure that the sample is representative of the population and reduces the potential for bias. By randomly selecting flights, the researcher increases the likelihood of obtaining a diverse range of passengers, capturing a variety of opinions and experiences.

Other sampling techniques have different characteristics. Cluster sampling involves dividing the population into groups or clusters and randomly selecting entire clusters to be included in the sample. Stratified sampling involves dividing the population into subgroups or strata and then randomly selecting individuals from each stratum. Systematic sampling involves selecting every nth individual from a list. Convenience sampling involves selecting individuals based on their availability or accessibility, which may introduce bias into the sample.

In summary, the sampling technique used in this scenario is random sampling, as the researcher randomly selects five flights and interviews all passengers on those selected flights. This approach helps ensure a representative sample and reduces potential bias.

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The domain and range of f(x) = -24 are given as follows:

The domain and range of f(x) = 0.5(x + 4)² - 11 are given as follows:

The range of y = -2x² + 12x - 13 is given as follows:

y <= 5.

The domain of a function is the set that contains all the input values that can be assumed by the function.

As neither of the functions in this problem have any restriction, the domain is all real values for the two of them.

The range of a function is the set that contains all the output values that can be assumed by the function.

The ranges are given as follows:

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Answer:

sorry i have no clue

Step-by-step explanation:

Answer: 315 dollars for board and for the garden its 12

Step-by-step explanation:

To maximize the number of people that can be fed, subject to the constraint that the total cost of rice and beans cannot exceed $2,000,000. Let's first rewrite the cost constraint as an equation:

38.5x + 35y = 2,000,000

Now we can rewrite the expression for P in terms of one variable.

How optimal allocation for famine relief funds?

To find the maximum number of people that can be fed, which means we need to maximize the function P= 1.1x +y - 108 subject to the budget constraint:

38.5x + 35y = 2,000,000

First, we can rewrite the budget constraint as:

77x + 70y = 4,000,000y - 108.

To do this, we can use the constraints provided by the budget and the prices of rice and beans. Let's assume that the organization will spend all of the $2,000,000, so we have the equation:

38.5x + 35y = 2,000,000

This represents all the possible combinations of sacks of rice and beans that can be bought with the given budget.

To make the problem easier to work with, we can solve for y in terms of x:

y = (2,000,000 - 38.5x) / 35

Now we can substitute this expression for y into the function for P:

P = 1.1x + (2,000,000 - 38.5x) / 35 - 108

Simplifying this, we get:

P = (14x - 3250) / 35

To maximize P, we can take the derivative and set it equal to zero:

dP/dx = 14/35 = 0

Solving for x, we get:

x = 100,000/14

x = 7,142.857

Since we can't buy a fraction of a sack, we round down to the nearest whole number:

x = 7,142

Now we can use the equation we derived earlier to find the corresponding value of y:

y = (2,000,000 - 38.5 x) / 35

y = (2,000,000 - 38.5(7,142)) / 35

y = 22,000

Therefore, the maximum number of people that can be fed is:

P = 1.1 x + y - 108

P = 1.1(7,142) + 22,000 - 108

P = 30,346

So, the organization should buy 7,142 sacks of rice and 22,000 sacks of beans to feed the maximum number of people.

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Answer:

9x^8+66

Step-by-step explanation:

To solve this problem, we need to use the Laplace transform and the recursive relation (7) as follows:

(a) We know that T(1/2) = r2. Using the recursive relation (7), we can express T(s) in terms of T(s-1/2) as:

T(s) = sT(s-1/2)

Substituting s = 1 in the above equation, we get:
T(1) = 1 * T(1/2)
T(1) = T(1/2) = r2

Now, taking the Laplace transform of both sides of the recursive relation (7), we get:
L{tT(s)} = L{xT(s-1/2)}

Using the property of Laplace transform that L{t^n} = n!/s^(n+1), we can rewrite the left-hand side as:
L{tT(s)} = -d/ds L{T(s)}

Similarly, using the property of Laplace transform that L{x^n} = n!/s^(n+1), we can rewrite the right-hand side as:
L{xT(s-1/2)} = -d/ds L{T(s-1/2)}

Substituting these expressions in the Laplace transform equation, we get:
-d/ds L{T(s)} = -d/ds L{T(s-1/2)}

Simplifying the above equation, we get:
L{T(s)} = L{T(s-1/2)}

Now, using the initial condition T(1/2) = r2, we can rewrite the above equation as:
L{T(s)} = L{T(s-1/2)} = r2/s

Taking the Laplace transform of t-1/2, we get:
L{t-1/2} = 1/s^(3/2)

Multiplying this expression by L{T(s)} = r2/s, we get:
L{t-1/2} L{T(s)} = r2/s^(5/2)

The answer to part (a) is L{t-1/2} = r2/s^(5/2).

(b) To determine L{x7/2}, we can use the fact that L{x^n} = n!/s^(n+1). Thus, we have:
L{x7/2} = (7/2)!/s^(7/2+1)

Simplifying the above expression, we get:
L{x7/2} = 7!/2^7 s^(1/2)

Now, multiplying this expression by L{T(s)} = r2/s, we get:
L{x7/2} L{T(s)} = 7!/2^7 r2 s^(-3/2)

The answer to part (b) is L{x7/2} = 7!/2^7 r2 s^(-3/2).

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The pairings of equivalent expresions are:

To do it we just need to simplify the 3 expressions.

The first one is:

2(m + 3) + m - 2

2m + 6 + m - 2

3m + 4   this is equivalent to the first one.

5(m + 1) - 1 =

5m + 5 - 1

5m + 4   this is equivalent to the second one.

m + m + m + 1 + 3

= 3m + 4   this is equivalent to the first one.

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Answer:

$45

Step-by-step explanation:

In order to begin solving this problem, we need to first calculate the number of remaining (unused) boxes. We do this by multiplying the total number of boxes by the percentage of boxes remaining. Since Mr. Smith used 6/15 of the boxes we know that there are 9/15 remaining (15-6 = 9). If we divide 9 by 15 we get 0.60 which is the percentage of remaining boxes in decimal form. Now we simply multiply this by the total initial number of boxes

30 * 0.60 = 18 remaining boxes

Now that we know how many unused boxes there are, we simply multiply this number by the cost of each box.

18 * $2.15 = $45

If the device needs 3 volts and 1.2 Amp, then the minimum number of AA batteries which are required to power this equipment is 3.

In order to find minimum number of AA batteries needed to power the portable communication-device, we compare voltage and current requirements of device with specifications of AA batteries.

We know that,

AA battery voltage: 1.5 volts

AA battery current: 0.5 Amps

Device voltage requirement: 3 volts

Device current requirement: 1.2 Amps

First, we calculate voltage requirement. Since each AA battery provides 1.5 volts, we calculate how many batteries are needed to reach the desired 3 volts by dividing the device voltage requirement by the battery voltage:

3 volts / 1.5 volts = 2 batteries

So, at least 2-AA batteries are needed to satisfy voltage requirement.

Next, we consider current requirement, each AA battery can provide up to 0.5 Amps, so we check if this is sufficient to meet the device's current requirement of 1.2 Amps.

Since the device requires 1.2 Amps, and each AA battery can provide 0.5 Amps, we can find how many batteries are needed by dividing device current requirement by battery current,

So, (1.2 Amps)/(0.5 Amps) = 2.4 batteries,

We can't have a fraction of a battery, on rounding up to nearest whole number. We need at least 3-AA batteries to satisfy current-requirement.

Therefore, 3 AA batteries are required.

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Answer:

i dont know

Step-by-step explanation: just for points sorry :(

Answer:

This is referred to as an expression. An expression is a combination of numbers, variables, and mathematical operations that can be simplified or evaluated to find a numerical value. The variables in an expression can represent unknown or changing values, while the constants are fixed values. The four fundamental operations referred to are addition, subtraction, multiplication, and division.

is it factorisatiom or solving equation?

Step-by-step explanation:

2m² + 2m - 12 divide the equation by 2

then: m² + m - 6

factorise: (m + 3)(m - 2)

solve m + 3 =0 or m - 2 =0

m= -3 or m = 2

Answer:

\(\boxed{\sf m=2,\:m=-3}\)

Step-by-step explanation:

\(\sf 2m^2+ 2m - 12 = 0\)

We can solve the problem by the quadratic equation:

\(\boxed{\sf x=\cfrac{-b\pm \sqrt{b^2-4ac}}{2a}}\)

\(\sf a=2,\:b=2,\:c=-12\)

\(\sf m=\cfrac{-2\pm \sqrt{2^2-4\times \:2\left(-12\right)}}{2\times \:2}\)

lot's solve \(\sf \sqrt{2^2-4\cdot \:2\left(-12\right)}\)

Multiply 4 * 2* 12= 96

→ \(\sf \sqrt{2^2+96}\)

→ \(\sf \sqrt{4+96}\)

Add 4 + 96= 100

→ \(\sf \sqrt{100}\)

→ \(\sf \sqrt{10^2}\)

→ \(\sf 10\)

________________

\(\sf m=\cfrac{-2\pm \:10}{2\times \:2}\)

Separate solutions:

\(\sf m_1=\cfrac{-2+10}{2\times \:2}\)

Add/Subtract then Multiply:

→ \(\sf \cfrac{8}{2\times \:2}\)

Divide:

→ \(\sf \cfrac{8}{4}\)

→ \(\boxed{\sf 2}\)

______________________

Add/Subtract then Multiply:

\(\sf m_2=\cfrac{-2-10}{2\times \:2}\)

→ Divide:

→ \(\sf -\cfrac{12}{4}\)

→ \(\boxed {\sf -3}\)

Solutions:

\(\sf m=2,\:m=-3\)

_______________________________________

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The magnitude of the cross product u x v is  \(27\sqrt{3}\).

To compute the vector product (cross product) of u and v, we can use the formula:

u x v = |u| |v| sin(θ) n

Where:

|u| and |v| are the magnitudes of vectors u and v,

theta is the angle between u and v, and

n is the unit vector perpendicular to the plane formed by u and v.

Given:

u = 6

v = 9

θ = 2\(\pi\)/3

To find the magnitude of the cross product, we can use the formula:

|u x v| = |u| |v| sin(θ)

Plugging in the values, we get:

|u x v| = 6 * 9 * sin(2\(\pi\)/3)

       = 54 * \(\sqrt{3}\)/ 2

       = 27 \(\sqrt{3}\)

So the magnitude of the cross product is 27 \(\sqrt{3}\).

To determine the direction of the cross product, we can use the right-hand rule. Since the angle between u and v is 2\(\pi\)/3 (or 120°), the cross product will be perpendicular to the plane formed by u and v, pointing in a direction determined by the right-hand rule.

In conclusion, the vector product of u and v is 27 \(\sqrt{3}\), and its direction is perpendicular to the plane formed by u and v.

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Answer:

m= -2/3

Step-by-step explanation:

m= 4-2/-6-(-3) = -2/3

Answer:

Ok,first write the 2 points

(0,6)(9,3)

Second,find the slope with this formula

\(m=\frac{3-6}{9-0}\)

\(m=\frac{-3}{9}\)

\(m=\frac{-1}{3}\) this is the slope

The slope intercept form for 2 points is:

y-y1=m(x-x1)

\(y-6=\frac{-1}{3} (x-0)\) This is the final equation.

I hope this help :)

Answer:

33 miles

Step-by-step explanation: I think it is correct

Monday: 3 miles

Tuesday: 10 miles

Wednesday: 20 miles because 10 x 2 = 20

3 miles + 10 miles + 20 miles = 33 miles

Hope this helps!

Answer:

the total angles shoudl add up to 180 but the angles listed adds up to 190 degreees

Step-by-step explanation:

I want brainliest!

Jackie pays $130 monthly for her group health insurance.

To find out how much Jackie pays for her group health insurance monthly, we need to calculate 40% of the annual cost. Given that the annual cost is $3,900 and her company pays 40% of that, we can calculate the amount Jackie pays.

First, we find the company's contribution by multiplying the annual cost by 40%: $3,900 × 0.40 = $1,560. This is the amount the company pays towards Jackie's health insurance.

To determine Jackie's monthly payment, we divide her annual payment by 12 (months in a year) since she pays monthly. So, Jackie's monthly payment is $1,560 ÷ 12 = $130.

Therefore, Jackie pays $130 per month for her group health insurance. This calculation takes into account the company's contribution of 40% of the annual cost, resulting in an affordable monthly payment for Jackie.

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Answer:

The answer is

→ C.) The graph starts flat but curves steeply upward.

Step-by-step explanation:

Explaining option C:

The quick leaps in y-coordinates indicate that it continues to travel higher up faster and faster while the x-coordinates proceed continuously.

The first choice is incorrect since the slope formula yields a value of 15 for the slope. The second choice is incorrect since it is impossible for it to be a horizontal line unless x = 0, which it is not because it equals 2. The last choice is incorrect because, rather of continuously increasing in size, a parabola function begins to decrease in size (the vertex would be visible in the function if this was a parabola.)

Therefore, Option C.) The graph starts flat but curves steeply upward is your answer.

Hope this helped! :^)

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- ✨7272033Alt✨

Submitted on 4/20/2022 at 12:45 PM

(To avoid plagarism, by users whom decide to copy.)

Step-by-step explanation:

a trapezoid.

the 2 sides on the left and the right are equal (congruent), and so are the diagonals.

but these diagonals are usually not perpendicular (perpendicular = intersecting each other at 90°).

= 65% x 120 = 78 pounds of iron

Answer:

78

Step-by-step explanation:

65% of 120 = 78