What is the value of x ?

A.285˚
B.105˚
C.75˚
D.15˚

Answer:

we make the denominator equal to zero then we get the domian

If  a deadly disease infected the hummingbird population, what would most likely happen to the plants option (b) They would become endangered

If a deadly disease infected the hummingbird population, it would most likely lead to a decrease in the pollination of plants that rely on hummingbirds for pollination. Without the hummingbirds to transfer pollen between flowers, these plants would have a reduced rate of successful pollination, which would result in a decrease in their ability to reproduce.

However, it is unlikely that the plants would die within hours or become endangered immediately, nor would they need to migrate. The effect of the loss of hummingbird pollinators on the plants would depend on the specific plant species, their pollination requirements, and the availability of alternative pollinators. Some plants may be more adaptable to using alternative pollinators, while others may suffer more severe consequences. It is also possible that the loss of hummingbirds could lead to a decline in the populations of other animals that depend on the plants, creating a ripple effect in the ecosystem.

Therefore, the correct option is (d) They would become endangered

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Answer: 28 oz

Step-by-step explanation:

for every batch, you will need 0.8 ounces.

so one way to solve this is to add 0.8 35 times to get the final answer.

However, repeated addition is the same as multiplication. you can simply evaluate 0.8 * 35 = 28 oz

thats the answer!

The obtained answers for the given piecewise function are:

(a) The cost of a call that is under six minutes is 0.70 (m < 6)

(b) The cost of a 14-minute call is 2.62 (m > 6; m is an integer)

(c) The cost of a 9 1/2 minute call is 1.66 (m > 6; m is not an integer)

A piecewise function is given by different functions at different intervals.

It is given that,

phone company set the following rate schedule for an m-minute call from any of its pay phones.

C(m) = 0. 70 when m ≤ 6

        = 0.70 + 0.24(m - 6) when m > 6 and m is an integer

        = 0.70 + 0.24([m - 6] + 1) when m > 6 and m is not an integer

(a) The cost of a call that is under six minutes:

Since m < 6, the cost is C(m) = 0.76

Thus, the cost of a call that is under six minutes is 0.76

(b) The cost of a 14-minute call:

Since 14 > 6, the cost is C(m) = 0.70 + 0.24(m - 6) when m > 6 and m is an integer.

C(14) = 0.70 + 0.24(14 - 6)

        = 0.70 + 0.24(8)

        = 0.70 + 1.92

        = 2.62

Thus, the cost of a 14-minute call is 2.62.

(c) The cost of a 9 1/2 minute call:

9 1/2 = 19/2 = 9.5

Since 9.5 > 6, the cost is C(m) = 0.70 + 0.24([m - 6] + 1) when m > 6 and m is not an integer.

C(9.5) = 0.70 + 0.24([9.5 - 6] + 1)

          = 0.70 + 0.24([3.5] + 1)

Since we know that if [x] is a function then its domain is R and the range is Z(integer)

So, [3.5] = 3(is an integer)

Then,

C(9.5) = 0.70 + 0.24(3 + 1)

          = 0.70 + 0.96

          = 1.66

Therefore, the cost of a 9 1/2 minute call is 1.66.

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Answer:

96 sq yards

Step-by-step explanation:

40-24 is 16, and 16/2 is 8. 8 is the second length, so 8 times 12 is 96 which is the area

The range of a set of values is the difference between the maximum and minimum values in the set, the range is 3 - (-2) = 5.

The expression "X - Y" subtracts the value of Y from each value in the set X. If Y is assigned the value 2, then for each x in X, we have:

X - Y = x - 2

the calculation of X - Y for each value in the set X = (0, 1, 2, 3, 4, 5) with

Y = 2

So, if X = (0,1,2,3,4,5), then:

(0) - 2 = -2

(1) - 2 = -1

(2) - 2 = 0

(3) - 2 = 1

(4) - 2 = 2

(5) - 2 = 3

So, the resulting set is (-2, -1, 0, 1, 2, 3).

The resulting set is (-2, -1, 0, 1, 2, 3) and the range is 5.

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According to the Law of Cosines, The length of side j in triangle JKL is approximately 12.7 inches (rounded to the nearest 10th of an inch).

To find the length of side j in triangle JKL, we can use the Law of Cosines. The Law of Cosines states that in a triangle, the square of one side is equal to the sum of the squares of the other two sides, minus twice the product of their lengths and the cosine of the included angle.

Applying the Law of Cosines, we have:

j² = k² + l² - 2kl × cos(J)

Substituting the given values, we get:

j² = (4.4)² + (8.6)² - 2(4.4)(8.6) × cos(129°)

Calculating this expression, we find j ≈ 12.7 inches (rounded to the nearest 10th of an inch).

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The linear equation doesn't have a solution.

The linear equation given is illustrated as: 4x-(2x-1) = x+5+x-6

This will be solved thus:

4x - 2x + 1 = x+5+x-6

4x - 2x + 1 = 2x - 1.

2x + 1 = 2x - 1

Collect like terms

2x - 2x = -1 - 1

0 = -2

This illustrates that the equation doesn't have a solution.

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Solution

Given that the Perimeter is: 340 yards. Lenght is 91 yards

Since P = 2(L + W)

where L is the Length

W is the width

=> 340 = 2(91 + W)

=> 340 = 182 + 2W

=> 158 = 2W

Dividing both sides by 2

=> W = 79

Hence, the width is 79 yards

Answer: it would be 79yards

Step-by-step explanation: 91•2=182

340-182=158

158/2=79yards

Unit walking rate in miles per hour = 5 2/3 / 2 2/3 = 17/3 / 8/3 = 17/3 x 3/8 = 17/8 = 2 1/8 miles per hour.

Unit walking rate in hours per mile = 1/ 17/8 = 8/17 hours per mile.

~you did not write the question properly but i guess this your needed answer

Answer:

y = 8/9x + 53/9

Step-by-step explanation:

5 = 8/9(-1) + b

45/9 = -8/9 + b

b = 53/9

Answer:  0.11

Step-by-step explanation:

5/45=0.11

The value of the game would be 13.33 dollars.

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a proposition is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Value of the game = E(x)

                               \(= [(60\times\frac{5}{6}) + (-10\times\frac{1}{6})]\\\\=50 -1.66\\\\= 48.33\)

P(Plain surface) = 2/6 and

P(Not plain surface) = 1 - 2/6 = 2/3

Let x: Value won/lost in the game

Value of the game

                          \(= [(60\times\frac{2}{6}) + (-10\times\frac{2}{3})]\\\\=20 -6.66\\\\= 13.33\)

Hence, the value of the game would be 13.33 dollars.

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Answer:

its e

Step-by-step explanation:

because e is is referring to savvy

F(x)= f(g(x)) where f(-9) = 5, f'(-9) = 3, f'(3) = 10, g(3) = -9, and g'(3) = -8, and we have to find F'(3). F'(3) is equal to -24.

Given, f(-9) = 5f'(-9) = 3f'(3) = 10g(3) = -9g'(3) = -8F(x)= f(g(x))We need to find F'(3) To calculate F'(3), we will use the Chain Rule of Differentiation, which states that if F(x) is defined as follows: F(x) = f(g(x)), then F'(x) = f'(g(x)) * g'(x).We have the following information: f(-9) = 5f'(-9) = 3f'(3) = 10g(3) = -9g'(3) = -8We will use the chain rule to calculate F'(3)F'(x) = f'(g(x)) * g'(x)Now, to find F'(3), we need to plug in the value of x = 3 in the above formula. F'(3) = f'(g(3)) * g'(3)Putting the values we get, F'(3) = f'(-9) * g'(3)F'(3) = 3 * (-8)F'(3) = -24 Thus, F'(3) is equal to -24.

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Answer:

65⁰

Step-by-step explanation:

Take a look for the pict

Or

x+50⁰=115⁰

x= 115⁰-50⁰

x=65⁰

Answer:

5.45

Step-by-step explanation:

(1.2)(q1+2)=2

The difference in temperature between London and Singapore is 38°c.

The temperature in London was -14°c, while the temperature in Singapore was 24°c. To find the difference in temperature between the two cities, we need to subtract the temperature in London from the temperature in Singapore: 24°c - (-14°c) = 24°c + 14°c = 38°c. Therefore, the difference in temperature between London and Singapore is 38°c.

Temperature is a measure of the hotness or coldness of an object or substance. It is typically measured in units such as degrees Celsius (°C) or degrees Fahrenheit (°F). The higher the temperature of an object or substance, the more energy it has, and the lower the temperature, the less energy it has.

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Arranged from smallest to largest, the given values are 0.2, 3/20, 1/8, 11%, and 13%.

To compare these values, we need to convert the percentages to decimals. We can do this by dividing them by 100. So, 11% becomes 0.11 and 13% becomes 0.13.

Next, we can convert 3/20 and 1/8 to decimals by dividing them using a calculator. We get:

3/20 = 0.15

1/8 = 0.125

Now, we can arrange these values in ascending order:

0.2 < 0.125 < 0.15 < 0.11 < 0.13

Therefore, the values arranged in order from smallest to largest are 0.2, 3/20, 1/8, 11%, and 13%.

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The 3 formulas for perimeter are Square= P=4s, Rectangle=P=2L+2W, Triangle=a+b+c.

In geometry, a shape's whole limits are referred to as its perimeter. The perimeter of a shape is calculated by adding the lengths of its sides and edges. Linear measurements like centimetres, meters, inches, and feet are used to express its dimensions. Defining a length in one dimension or a form in two dimensions with a closed path is called a perimeter. The perimeter of an ellipse or circle is its circumference. Perimeter calculations have many real-world applications. The area around a shape's edge is known as its perimeter. By adding together the side lengths of different forms, you can find their perimeter.

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The controllability matrix for the given state-space model is [0 1; 1 -21/4], indicating that the system is controllable. Similarly, the observability matrix is [0 1; -5 -21/4], indicating that the system is observable. These results suggest that the system can be both controlled and observed effectively.

a) The controllability matrix can be calculated by arranging the columns of the state matrix [0 1; -5 -21/4] and multiplying it with the input matrix [0; 1]. The resulting controllability matrix is [0 1; 1 -21/4].

b) To check the controllability of the system, we need to verify if the controllability matrix has full rank. If the controllability matrix is full rank, it means that all the states of the system can be controlled by applying appropriate inputs. In this case, the controllability matrix has full rank, so the system is controllable.

c) The observability matrix can be obtained by arranging the rows of the state matrix [0 1; -5 -21/4] and multiplying it with the output matrix [5 4]. The resulting observability matrix is [0 1; -5 -21/4].

d) To check the observability of the system, we need to verify if the observability matrix has full rank. If the observability matrix is full rank, it means that all the states of the system can be observed through the outputs. In this case, the observability matrix has full rank, so the system is observable.

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The probability that extra unleaded gas was requested is 35%.

To find the probability that the next customer requested extra unleaded gas, we need to first find the total probability that any customer requests extra unleaded gas.

Since 35% of customers request extra unleaded gas, the probability that a customer requests it is 35%. Of those customers, 30% fill their tanks, so the probability that a customer requesting extra unleaded gas fills their tank is 30%.

Therefore, the probability that a customer requesting extra unleaded gas fills their tank is (35%) * (30%) = 0.105, or about 10.5%.

This is the probability that the next customer requested extra unleaded gas and fills their tank. To find the probability that the next customer simply requested extra unleaded gas, regardless of whether they fill their tank or not, we need to add the probabilities of them requesting extra unleaded gas and either filling or not filling their tank.

The probability that the next customer requested extra unleaded gas and filled their tank is 0.105, as we calculated above. The probability that the next customer requested extra unleaded gas and did not fill their tank is (35%) * (70%) = 0.245, or about 24.5%.

To find the total probability that the next customer requested extra unleaded gas, we need to add these two probabilities: 0.105 + 0.245 = 0.35, or 35%. This is the probability that the next customer requested extra unleaded gas.

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The height of the actual building, given the height of the model, can be found to be 1, 455 feet

The model is such that every inch of the building on the model is 75 feet of the actual building.

This means that if the height of the building in the model is 19 ² / ₅ inches, then the height of the actual building would be:

= Height of building in model x Scale factor per inch

= 19 ² / ₅  x 75

= 97 / 5 x 75

= 1, 455 feet

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Answer:

21

Step-by-step explanation:

Answer:

20 Students chose bananas.

Step-by-step explanation:

You can see that the bananas take up 25% or 1/4 of the chart. To find 1/4 of a number find half of the number twice. Half of 80 is 40 and half of 40 is 20. So, 20 students chose bananas.

Answer:

Exponential growth, as the sign of the basis (the number 1.15) is positive.

Step-by-step explanation:

The equation Y = 250,000(1.15)ˣ represents exponential growth.

In this equation, the base of the exponential term is 1.15, which is greater than 1. When the exponent x increases, the value of the term (1.15)ˣ also increases, leading to exponential growth.

Exponential growth occurs when a quantity increases at an accelerating rate over time. In this case, as x increases, the value of Y grows exponentially, indicating growth rather than decay.

Therefore, the equation Y = 250,000(1.15)ˣ represents exponential growth.

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