5. Average (missing value). The temperature at the top of Mt. Hood in Oregon was recorded for 5 straight days. For the first four days, the temperatures were 32°, 30°, 22°, and 10°, but a researcher lost the value of day #5. If the average temperature over the 5 days was 19.8°F, what is the missing temperature of day #5?

If the function is h(t) = - 4.9t² + 39.2t + 5. Then the maximum height will be 83.4 meters.

The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.

The function is given as

h(t) = - 4.9t² + 39.2t + 5

Then the differentiation of the function will be

h'(t) = - 9.8t + 39.2

For the maximum height, put h'(t) equals zero. Then we have

              h'(t) = 0

- 9.8t + 39.2 = 0

                  t = 4

Then the maximum height will be

h(t) = - 4.9(4)² + 39.2 x 4 + 5

h(t) = - 4.9 x 16 + 39.2 x 4 + 5

h(t) = - 78.4 + 156.8 + 5

h(t) = 83.4 meters

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Answer:

x<-10

Step-by-step explanation:

4x-12-5x>-2

-1x-12>-2

    +12 +12

-1x>10

-1x/-1>10/-1

x<-10

u switch the inequality when the number is divided by a negative number btw:) hope this helped:D

Answer:

x=24

y=24

Step-by-step explanation:

I hope this helps

The bacteria that cause foodborne illness multiply most abundantly between 40 and 140 degrees Fahrenheit.

Bacteria that cause foodborne illnesses grow and reproduce rapidly at temperatures between 40°F (4.4°C) and 140°F (60°C), which is known as the "Danger Zone." These temperatures allow bacteria to multiply rapidly and increase the risk of foodborne illness.

Therefore, it is important to keep food out of this temperature range as much as possible. Food should be kept below 40°F (4.4°C) or above 140°F (60°C) to reduce the risk of bacterial growth.

Proper cooking, refrigeration, and heating of food can help prevent the growth and spread of harmful bacteria.

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Answer: 8200 miles

Step-by-step explanation:

Based on the question, since she wants to go for five round trips, her first round trip is fixed at 3400 and she will have 4 more additional trips. This can them be calculated as:

= 3400 + 1200x

x = additional trips = 4

We then put the value of x into the equation

= 3400 + 1200x

= 3400 + 1200(4)

= 3400 + 4800

= 8200

She'll have 8200 mile after 5 round trips

600 cactus wren nests the experimenter would expect to be in the entire 200-acre preserve.

To estimate the number of cactus wren nests in the entire 200-acre preserve, we can use the ratio of the area surveyed to the number of nests found.

Let's call the number of nests in the entire 200-acre preserve "N".

The ratio of the area surveyed to the number of nests found is:

2 acres / 6 nests = 200 acres / N nests

We can use this ratio to find the number of nests in the entire 200-acre preserve:

N nests = 200 acres * (6 nests / 2 acres)

N nests = 200 * 3

N nests = 600

So the experimenter would expect to find approximately 600 cactus wren nests in the entire 200-acre preserve, assuming that the habitat is fairly uniform.

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Answer:

100,80

Step-by-step explanation:

The opposite angle theorem states that, : "When two lines cross four angles are created and the opposite angles are equal."

y°=80°

Now, check that , x° and y° are in one straight line. A straight line has angle of 180°. So x° and y° should sum up to 180°

x° + y° = 180°

x° + 80° = 180°

x° = 100°

Answer:

Graph A

Step-by-step explanation:

A = y = 1.5   x =  -2\<x,< 3  

B = y = 0.2   x =  -2<x < 2

C = y = -1.2  x =  -2< x\< 3

D = y =  1.2   x = - 2< x < 2

Answer:

13 Cans

Step-by-step explanation:

If the lengths of the ceiling are 52 feet, the area would be 2704 square ft. 2704÷208=13

This law can be used to find the unknown side of a triangle given the ratio of two sides and the angle opposite one of them.

A polygon is a closed two-dimensional figure that has three or more straight sides. A polygon method is a method of determining an unknown angle or side in a triangle using trigonometric ratios. The cosine law, also known as the Law of Cosines, is used to determine the side lengths or angle measures in any triangle. It relates the length of each side of a triangle to the cosine of one of its angles. The law of cosines states that

`a² = b² + c² − 2bc cos A` or

`b² = a² + c² − 2ac cos B` or

`c² = a² + b² − 2ab cos C`

where a, b, and c are the side lengths of the triangle, and A, B, and C are the angles opposite those sides.

In essence, this law is used to solve a triangle given one side and two angles, two sides and an included angle, or three sides. On the other hand, the sine law, also known as the Law of Sines, is used to solve triangles in which you know the ratio of the lengths of two sides and the measure of the angle opposite one of those sides.

The sine law states that `a/sin A = b/sin B = c/sin C`

where a, b, and c are the side lengths of the triangle, and A, B, and C are the angles opposite those sides.

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Answer:

$200

Step-by-step explanation:

Amanda       Beverly

     9         :       3

difference between Amanda and Beverly = 9 - 3 = 6 portions.

∴ value of 6 portions = $60

   value of 1 portion  =  $ 60 / 6

                                  = $10

Total no. of portions = 8 + 9 + 3 = 20

Total sum of money to be shared = value of 1 portion x Total no. of portions

                                                         = $10 x 20

                                                         = $200

To determine the value of a+c, we can analyze the behavior of the function y = (ax+b)/(x+c) as x approaches infinity and negative infinity.

Given that the graph has a horizontal asymptote at y = 2, it means that as x approaches infinity or negative infinity, the function approaches a constant value of 2. In other words, the numerator (ax+b) must have the same degree as the denominator (x+c) for the asymptote to exist.

Since the denominator (x+c) has a vertical asymptote at x = -3, it means that (x+c) approaches zero as x approaches -3. This implies that c = -3.

To match the degree of the numerator and denominator, we need to have a degree-1 polynomial in the numerator. Since the numerator is ax + b, the degree of the numerator is 1 only if a = 0.

Therefore, we have a = 0 and c = -3. Thus, a + c = 0 + (-3) = -3.

Therefore, the correct answer is: a + c = -3.

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Answer:

5 games

Step-by-step explanation:

5(2.5)=12.50

12.50+2=14.50

Answer:

5

Step-by-step explanation:

We are at the bowling alley and we know that they are offering a special. Every game costs $2.50 and the shoe rentals are $2. We know that by the end of the day, you spend $14.50 dollars in total.

We need to create an expression to solve this question, since every game is $2.50, make the variable x next to that.

$2.50x

Now we know that the shoe rental is $2 extra dollars, therefore we need to add 2 dollars separately.

$2.50x + $2

Now our total is $14.50, therefore :

$2.50x + $2 = $14.50

Now we have an expression, let's solve for x by isolating it.

$2.50x + $2 = $14.50

Subtract 2 from both sides :

$2.50x = $12.50

Divide both sides by $2.50 :

x = 5

Therefore, you played 5 games in total.

\(\qquad\qquad\huge\underline{{\sf Answer}}\)

Let's evaluate ~

\(\qquad \sf  \dashrightarrow \:f(x) =- 8x + 14 + 15 {x}^{2} \)

we have to find value of f(-3), so plug the value of x as -3 in the equation ~

\(\qquad \sf  \dashrightarrow \:f( - 3) =- 8( - 3) + 14 + 15 {( - 3)}^{2} \)

\(\qquad \sf  \dashrightarrow \:f( - 3) = 24 + 14 + 15 {(9)}^{} \)

\(\qquad \sf  \dashrightarrow \:f( - 3) = 38+ 135 \)

\(\qquad \sf  \dashrightarrow \:f( - 3) = 173 \)

I hope it's easy to understand now ~

f(-3):

\(\\ \rm\Rrightarrow 15x²-8x+14\)

\(\\ \rm\Rrightarrow 15(-3)²-8(-3)+14\)

\(\\ \rm\Rrightarrow 15(9)+24+14\)

\(\\ \rm\Rrightarrow 135+38\)

\(\\ \rm\Rrightarrow 173\)

Answer:

19.5 pounds

Step-by-step explanation:

25% of 26 equals 6.5, so 26-6.5 is 19.5 pounds

The sampling method used in the given study is stratified sampling. In this method, the population is divided into homogeneous groups called strata, and a random sample is selected from each stratum to form the final sample. stratified sampling is a useful method for selecting a representative sample from a heterogeneous population when subgroups are well defined.

The given study chooses the sample by dividing the population by voting district and sampling everyone in five districts selected. Therefore, it is an example of stratified sampling where the strata are defined by voting districts. The method is preferred when the population is heterogeneous and it is important to ensure that the sample represents all subgroups of the population.

By dividing the population into strata, the variability within each stratum is reduced, making the sample more representative of the entire population.

In the given study, stratified sampling was used because the researchers wanted to ensure that the sample represents the entire population by selecting individuals from different voting districts. By dividing the population into strata based on voting districts, the researchers were able to reduce the variability within each stratum, making the sample more representative of the entire population.

In addition, the method also ensures that each stratum is represented in the sample, providing a more accurate estimate of the population parameters. Overall, stratified sampling is a useful method for selecting a representative sample from a heterogeneous population when subgroups are well defined.

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The area of the clines and the y-axis is 6 square units

From the question, we have the following parameters that can be used in our computation:

4x - y = 5

Also, we have the boundaries to be

y = -1 and y = 3

Next, we plot the graph of the equation with this boundary (see attachment)

From the graph, we have the shape between the clines and the y-axis to be a trapezoid with the following dimensions

Parallel sides = 1 and 2

Height = 4

So, we have

Area = 1/2 * (Sum of parallel sides) * Height

Substitute the known values in the above equation, so, we have the following representation

Area = 1/2 * (1 + 2) * 4

Evaluate

Area = 6

Hence, the area is 6 square units

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The Surface Area of the regular hexagonal prism is 92.784 square unit.

We have,

a = 2 unit

h= 6 unit

So, surface area of Prism

= 6 ah + 3√3 a²

= 6(2)(6) + 3√3 (2)²

= 72 + 12√3

= 92.784 square unit.

Thus, the Surface Area is 92.784 square unit.

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Our assumption that two consecutive elements of the Fibonacci sequence can be divisible by 13 is false, and the proposition is proved.

We begin with the fact that the Fibonacci sequence is an increasing sequence; that is, each element is greater than the one before it.

The sequence is defined as follows:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229, 832040, 1346269, 2178309, 3524578, 5702887, 9227465, 14930352, 24157817, 39088169, 63245986, 102334155, 165580141, 267914296, 433494437, 701408733, 1134903170, 1836311903, and so on.

Now, let us prove the proposition by contradiction. Assume that there are two consecutive elements of the Fibonacci sequence that are divisible by 13. Then there must be some integer n such that:

F(n) = 13m, andF(n + 1) = 13p,

where m and p are integers.

Since the Fibonacci sequence is defined recursively by F(n) = F(n-1) + F(n-2), we can obtain an expression for F(n-2) in terms of F(n) and F(n-1):

F(n-2) = F(n) - F(n-1)Since F(n) and F(n-1) are both divisible by 13, their difference must also be divisible by 13.

Therefore, F(n-2) is divisible by 13 as well. However, this contradicts the well-ordering principle, which states that every non-empty set of positive integers has a least element.

Since the Fibonacci sequence is an increasing sequence, there must be some least element k such that F(k) is divisible by 13 but F(k-1) is not. But this means that F(k-2) cannot be divisible by 13, which contradicts our assumption that both F(n) and F(n-1) are divisible by 13.

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The additional analysis and evidence may be needed to establish a causal relationship between variables.

The existence of an overall pattern of joint variation between variables, regardless of origin or cause.

In statistics, an association refers to the presence of a relationship or pattern of joint variation between two or more variables. This pattern can take various forms, including linear or curved, but the key characteristic is that the variables tend to vary together in some way.

However, an association alone does not necessarily imply causation. In other words, just because two variables are associated or vary together does not mean that one variable causes the other. Additional analysis and evidence may be needed to establish a causal relationship between variables.

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This creative choice demonstrates Marta's willingness to experiment with her recipes and explore new combinations for an enjoyable culinary experience.

It seems like there are some unrelated terms and typos in your question,

Marta decides to buy yellow tomatoes to add a different color to her salsa, creating a visually appealing and diverse dish.

By incorporating the yellow tomatoes, she not only enhances the appearance of her salsa but also potentially introduces new flavors, as yellow tomatoes might have a slightly different taste compared to the more common red varieties.

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Answer:

9.9\(cm^{3}\)

Step-by-step explanation:

Formula:

1/3(area of the base x height)

1/3 [2.175(2.175)(6.3)]

1/3(4.730625)(6.3)

1/3(29.8029375)

9.9343125

Is the perimeter of the base is 8.7, we need to divide that by 4 (2.175) to find out the side length of the square.  The area of the square, we need to multiply 2.175 by 2.175.

9.9343125 rounded to the nearest tenth is 9.9

Helping in the name of Jesus.

If a categorical variable that can take the values from the set {Red, Blue, Green, Yellow} is included as an independent variable in a linear regression, the number of dummy variables that are created is two

When a categorical variable that has n categories is to be included as an independent variable in a linear regression analysis, it must be converted to n - 1 dummy variables. The reason for this is that including all n categories as dummy variables would cause perfect multicollinearity in the regression analysis, making it impossible to estimate the effect of each variable.In this case, the set of categories {Red, Blue, Green, Yellow} has four categories. As a result, n - 1 = 3 dummy variables are required to represent this variable in a linear regression. This is true since each category is exclusive of the others, and we cannot assume that there is an inherent order to the categories.The dummy variable for the first category is included in the regression model by default, and the remaining n - 1 categories are represented by n - 1 dummy variables. As a result, the number of dummy variables that are required to represent the categorical variable in the regression model is n - 1.

Thus, if a categorical variable that can take the values from the set {Red, Blue, Green, Yellow} is included as an independent variable in a linear regression, the number of dummy variables that are created is two .

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Answer:

1260

Step-by-step explanation:

Answer:

1260 hope this helps

Step-by-step explanation:

Answer:

Prime number

Step-by-step explanation: because it doesn't have a value so yeah its a prime number.

Answer:

V = 0.5

Step-by-step explanation:

V = u + at

If U = 2, a = -5, and t = 1/2, then you can replace these in the equation to make the equation: V= 2 + (-5 x 1/2)

Solve the parenthesis first. -5 times 1/2 is -2.5.

Now the equation is V= 2 + -2.5

Simplifying that even more, 2 + -2.5 is 0.5

Therefore, V = 0.5

Hope this helped!

By using power properties, the expression y⁸ · y³ · x⁰ · x⁻² is equivalent to the expressions 1 / (x² · y⁵) and x⁻² · y⁻⁵. (Correct choices: C, D)

In this question we have a power function with two variables and which has to be simplified by using power properties. The detailed procedure is shown below:

By using power properties, the expression y⁸ · y³ · x⁰ · x⁻² is equivalent to the expressions 1 / (x² · y⁵) and x⁻² · y⁻⁵. (Correct choices: C, D)

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Answer:

12^2 + 16^2 = x^2

144 + 256 = x^2

x =20

C is correct.

Let me know if this helps!