. Gary's father dropped him off at
soccer practice at 2:45 P.M.
His mother picked him up at 16
4:00 P.M. How long did soccer
practice last?

Answer:27.5

Step-by-step explanation:

i did this with a calculator, but the answer is

27.5

Step-by-step explanation:

Using the formula F = (9/5)*C + 32, where C is the temperature in Celsius and F is the temperature in Fahrenheit, we can find the temperature in Fahrenheit:

F = (9/5)*C + 32

F = (9/5)*28 + 32

F = 82.4

Therefore, the temperature in degrees Fahrenheit is 82.4°F.

Answer:

n=12

Step-by-step explanation:

sum of interior angles of polygon with n sides = (n-2)180

measure of an interior angle of a polygon times the number of sides (n) = sum of interior angles of polygon with n sides, therefore:

(n - 2)180 = 150n

180n - 360 = 150n

30n = 360

n = 360/30 = 12

According to the given information EF = 8 and DF = 7.

A triangle is a three-sided polygon made up of three line segments that connect at three endpoints, called vertices. The study of triangles is an important part of geometry, and it has applications in various fields such as engineering, architecture, physics, and computer graphics.

Since triangle ABC and triangle DEF are similar, their corresponding sides are proportional. That is:

AB/DE = BC/EF = AC/DF

We are given AB = 40, BC = 64, AC = 56, and DE = 5. We can use the ratio AB/DE = BC/EF to find EF:

AB/DE = BC/EF

40/5 = 64/EF

8 = 64/EF

EF = 64/8

EF = 8

So EF = 8.

Similarly, we can use the ratio AC/DF to find DF:

AC/DF = AB/DE

56/DF = 40/5

56/DF = 8

DF = 56/8

DF = 7

So DF = 7.

Therefore,according to the given information EF = 8 and DF = 7.

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a) The degree of freedom for a sample size 25 is equals to the 24 and the critical value t* for 80% confidence interval and degree of freedom 24 is equals to 1.318.

b) The degree of freedom for a sample size 55 is equals to the 54 and the critical value t* for 98% confidence interval and degree of freedom 54 is equals to 2.403.

The t-distribution has a bell-shaped density curve but has more variance (spread) than a normal bell curve.

Step 1: First express the confidence level as a number (in decimal) c with 0<c<1.

Step 2: Determine the significance level, denoted

α, by α = 1 − c.

Step 3: Use the t-distribution table to obtain the t-score (critical value) tα/2 where (i) the α is from Step 2 and (ii) the degrees of freedom equals n−1, where n is the sample size.

a) 80% of confidence interval and observation of

Sample size, n = 25

From above definition, degree of freedom= n - 1 = 25 - 1 = 24 and c = 80%

= 0.80

Significance level, α = 1- c = 1 - 0.80 = 0.20

and α/2 = 0.10 then use the t-table the critical t-value for this 80% confidence interval, t₀.₁₀ = 1.711.

b) 98% confidence interval with 55 observations. So, Sample size, n = 55

degree of freedom = n - 1 = 55 - 1 = 54,

c = 98% = 0.98

Significance level, α = 1-0.98 = 0.02

and α/2 = 0.01, then use the t-table the critical t-value for this 98% confidence interval, t₀.₀₁ = 2.669

Hence required value is 2.669.

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The area of the parallelogram above is 490 metres squared.

A parallelogram is a quadrilateral with opposite sides equal to each other and opposite sides parallel to each other.

The area of a parallelogram can be calculated as follows:

area of a parallelogram = bh

where

Therefore,

b = 49 metres

h = 10 metres

Therefore,

area of a parallelogram = 10 × 49

area of a parallelogram = 490 metres squared

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There are 816 possible five-card hands from a normal deck of cards containing exactly two aces and having exactly two red cards.

There are 80 possible five-card hands from a standard deck of 52 cards that contain exactly two aces and have exactly two red cards.

To calculate this, first count the total number of combinations of two aces from the four aces in the deck. This can be done using the combination formula C(n, r) where n is the number of items (4 aces) and r is the number of items to choose (2 aces). Therefore, the number of combinations of two aces is C(4,2) = 6.

Next, count the number of combinations of two red cards. There are 26 red cards in a deck, which can be divided into the two suits of spades and hearts. For each of these suits, calculate the number of combinations of two cards using the same formula as before, C(n, r). Therefore, the number of combinations of two red cards is C(13,2) * 2 = 156.

Finally, multiply the two values together to get the total number of possible five-card hands with exactly two aces and two red cards. This equals 6 * 156 = 960. This value must be reduced by the number of hands that contain more than two aces and/or more than two red cards. This value can be calculated using the same formula. For instance, the number of hands with three aces is C(4,3) * C(13,2) * 2 = 144. This value must be subtracted from 960, leaving a total of 960 - 144 = 816.

Therefore, there are 816 possible five-card hands from a normal deck of cards containing exactly two aces and having exactly two red cards.

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The "x is small" approximation only works when the initial concentration of the reactant is relatively large and the equilibrium constant is small.

What does the "x is small" approximation mean? The x is small approximation does not mean that x is zero. If that were the case, the reactant and product concentrations wouldn't change from their initial values. The x is small approximation just means that when x is added or subtracted to another number, it doesn't change that number by very much. When does the "x is small" approximation work? The "x is small" approximation only works when the initial concentration of the reactant is relatively large and the equilibrium constant is small. What is the <5% rule? The x is small approximation must satisfy the <5% rule, whereby the x approximation divided by the number it was subtracted from is less than 5% (or 0.05). What is the method of successive approximation? The method of successive approximation is solving for x as if it were small, and then substituting the value obtained back into the equation (where x was initially neglected) to solve for x again. This can be repeated until the calculated value of x stops changing with each iteration, an indication that we have arrived at an acceptable value for x.

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In response to the stated question, we may state that therefore, the expressions value of vector will be n = 25.73.

An expression in mathematics is a collection of numbers, variables, and mathematical (such as addition, reduction, multiplication, division, exponentiation, etc.) that express a quantity or value. Expressions might be as basic as "3 + 4" or as complicated as "(3x2 - 2) / (x + 1)". They may also contain functions like "sin(x)" or "log(y)". Expressions can also be evaluated by substituting values for the variables and performing the mathematical operations in the order specified. If x = 2, for example, the formula "3x + 5" equals 3(2) + 5 = 11. Expressions are commonly used in mathematics to describe real-world situations, construct equations, and simplify complicated mathematical topics.

to find vector and magnitude we have

[tex]n^2 = (22.5)^2 + (12.5)^2\\n^2 = 506.25 + 156.25\\n^2 = 662.5\\n = \sqrt(662.5)\\n = 25.73[/tex]

therefore, the value of vector will be n = 25.73.

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In this particular question, the following statements can be used to complete each sentence with either "increases" or "decreases":

- Phytic acid decreases the absorption of zinc from grains.

Oxalic acid decreases the absorption of calcium from spinach.

- Refinement of grains decreases the mineral content of grain products.-

Vitamin C increases the absorption of iron from foods.-

Vitamin D increases the absorption of calcium from foods.

Explanation:

Bioavailability refers to the proportion of a nutrient that is absorbed from food and made available for use in the body. Factors that alter bioavailability of minerals from foods include phytic acid, oxalic acid, refinement of grains, and vitamins C and D. Phytic acid, for instance, decreases the absorption of zinc from grains while oxalic acid decreases the absorption of calcium from spinach.

           Refinement of grains, on the other hand, decreases the mineral content of grain products. Conversely, vitamin C increases the absorption of iron from foods while vitamin D increases the absorption of calcium from foods.

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Answer:

The probabilities are listed as:

P(Ella wins) = 0.75

P(Danila wins) = 5% or 0.05

P(Sophia wins) = 1/5 or 0.2

To determine the order of least to most likely events:

- The probability of Danila winning is the lowest at just 5%. Therefore, Danila winning is the least likely event.

- The probability of Sophia winning (0.2) is greater than Danila's probability of winning (0.05). Hence, Sophia winning is more likely than Danila winning.

- Finally, Ella has the highest probability of winning (0.75) among all three contestants. So, Ella winning is the most likely event.

Therefore, the order of least to most likely events is: Danila wins, Sophia wins, Ella wins.

Answer: Danila, Sophia then Ella

Step-by-step explanation: I took quiz on Khan

The conic section represented by the equation. 2x + 5y - 7 = 0 is a line

The given equation is 2x + 5y - 7 = 0.

To determine the conic section represented by this equation, we can use the discriminant D:

D = B^2 - 4AC

where A, B, and C are the coefficients of x^2, xy, and y^2, respectively, in the general form of the conic section equation Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0.

In this case, A = 0, B = 0, and C = 0 (since there are no x^2, xy, or y^2 terms), so the discriminant is:

D = 0^2 - 4(0)(0) = 0

Since the discriminant is 0, the conic section represented by the equation 2x + 5y - 7 = 0 is a degenerate case, which is a line.

Therefore, the answer is "line".

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Answer:

multiply BD and AC and you got it

Step-by-step explanation:

if yuo put ABD triangle over CEB you got a sqare, if you do it again you got a aqare 20x10

Answer:

58.8 gallons

Step-by-step explanation:

Answer:

275

Step-by-step explanation:

You have a 1 in 2 chance

550/2

275 times

Answer: Shape one: 5, Shape 2: 13

Step-by-step explanation:

shape one
12^2+x^2=13^2

shape two
5^2+12^2=x^2

Answer:

PLEASE MARK ME AS BRAINLLIEST

Step-by-step explanation:

p=12

h=13

b=?

p²+b²=h²

12²+b²=13²

144+b²=169

b²=169-144

   = 25

b=root25

b=5m

b=5

p=12

h=?

p²+b²=h²

12²+5²=h²

144+25=h²

h²=169

h=root169

h=13

Thus, 4.0 moles of NH3 would be produced when 6.0 moles of H2 react with sufficient N2.

Suppose 6.0 mol of H2 reacts with sufficient N2 to produce ammonia, NH3. We can determine the number of moles of NH3 produced using stoichiometry.The balanced chemical equation for the reaction is:[tex]3H2(g) + N2(g) → 2NH3(g)[/tex]

From the equation, we can see that 3 moles of H2 react with 1 mole of N2 to produce 2 moles of NH3.

Therefore, using the mole ratio from the balanced equation, we can calculate the number of moles of NH3 that would be produced when 6.0 mol of H2 reacts with [tex]N2:6.0 mol H2 × (2 mol NH3/3 mol H2) = 4.0 mol NH3[/tex]

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By looking at the box plot, we can determine that the IQR is 40 pounds.

The interquartile range (IQR) of the players' weights is the difference between the upper quartile (Q3) and the lower quartile (Q1). The upper quartile is the value that 75% of the players' weights are below, and the lower quartile is the value that 25% of the players' weights are below.

Calculating the IQR requires the following steps:

In this case, the interquartile range of the players' weights is the difference between the upper quartile (Q3) and the lower quartile (Q1). By looking at the box plot, we can determine that the IQR is 40 pounds.

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The set of ordered pairs (2,1), (3,3), (4,6), (2,3) is NOT a function because the input value of 2 corresponds to both the output values of 1 and 3.

For a set of ordered pairs to be a function, each input (x-value) must correspond to only one output (y-value). Therefore, if there exists an input (x-value) that corresponds to more than one output (y-value), then the set of ordered pairs is NOT a function.

Let's check each set of ordered pairs:

Therefore, the set of ordered pairs that is NOT a function is (2,1), (3,3), (4,6), (2,3).

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The optimal solution would be to use $240 worth of professional grade material for each frame.

An optimal solution is a solution that provides the best possible outcome for a problem or situation, given a set of constraints or requirements. In mathematical optimization, an optimal solution is the solution that maximizes or minimizes an objective function while satisfying a set of constraints.

In other words, an optimal solution is the solution that is most efficient, effective, or desirable according to a certain set of criteria. It is the solution that achieves the best possible outcome, given the available resources and limitations.

To find the optimal solution, we need more information about the specific weight specification and the cost of different types of materials.

However, if we assume that there is only one type of material available, and that it costs $x per yard, we can set up an equation to find the optimal solution:

30x = cost per frame

If the professional grade material costs $8 per yard, then the equation becomes:

30(8) = $240 per frame

So, the optimal solution would be to use $240 worth of professional grade material for each frame, assuming that it meets the weight specification. If the weight specification requires a different amount of material, or if there are other materials available at different prices, the optimal solution would be different.

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The extent to which a sample over or under represents characteristics of the population is known as sampling error.

Sampling error is the difference between the characteristics of a sample and the characteristics of the population from which it is drawn. Sampling error occurs when a sample does not accurately represent a population due to the selection of individuals. It is measured as the difference between a sample statistic and the corresponding population parameter. For example, if a sample of 100 people is taken from a population of 1,000 people, the sample might not accurately reflect the population as a whole due to random selection.

Sampling error is an important consideration in survey research, as it can have an effect on the accuracy of the results. Sampling error can be reduced by using larger sample sizes or by using more representative sampling methods.

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Answer:

2.80

Step-by-step explanation:

It asks to find the shipping and handling price.

The first step is take that percentage, 20% and convert into decimal form. Then you need to multiply that by the original price. So it would be 0.2 x 14.

That gives you 2.80 which is the shipping and handling price. That's all you have to do.

Free Water ≈ 0 M (as bound water is approximately equal to total water). To find the equilibrium concentrations for the two complexes at different temperatures, we can use the provided values in the table:

Ice Water:
[CoCl₄]²⁻ = 3.331x10⁻⁶ M
[Co(H₂O)₆]²⁺ = 0.04246 M
Room Temperature:
[CoCl₄]²⁻ = 3.183x10⁻⁶ M
[Co(H₂O)₆]²⁺ = 0.04243 M
Warm Water:
[CoCl₄]²⁻ = 0.0000957 M
[Co(H₂O)₆]²⁺ = 0.04151 M
#19) To find the equilibrium free chloride concentration at room temperature, use the formula:
Free Chloride = Total Chloride - Bound Chloride
Total Chloride = [CoCl₄]²⁻
Bound Chloride = 4 * [CoCl₄]²⁻ (since 4 chloride ions are used for each complex)
At room temperature:
Free Chloride = Total Chloride - 4 * 3.183x10⁻⁶ M
Free Chloride ≈ 0 M (as bound chloride is approximately equal to total chloride)
#20) To find the equilibrium free water concentration at room temperature, use the formula:
Free Water = Total Water - Bound Water
Total Water = [Co(H₂O)₆]²⁺
Bound Water = 6 * [Co(H₂O)₆]²⁺ (since 6 water molecules are used for each complex)
At room temperature:
Free Water = Total Water - 6 * 0.04243 M.

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Mark needs to invest 5572.24 hours (rounded to one decimal place) of study time in order to achieve an A letter grade in this course.

To determine the estimated minimum number of hours Mark should study, we need to solve for the number of hours such that his predicted score, given by the regression equation from part (b), is at least 90.

The regression equation is as follows: Predicted score = 48.74 + 0.00726(number of hours studied)

Setting the predicted score equal to 90 and solving for the number of hours studied gives:90 = 48.74 + 0.00726 (number of hours studied)

Solving for the number of hours studied gives: number of hours studied = (90 - 48.74)/0.00726= 5572.24

Therefore, Mark should study for 5572.24 hours (rounded to one decimal place) to receive a letter grade of A for this course.

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Answer: 3 5/8 pizzas were there at the start of the party.

Step-by-step explanation:

At the party let number of pizzas were = x Aisha and her friends ate 2 1/2 pizzas after which 1 1/8 pizzas were left.

Therefore the equation formed will be

x- 2 1/2= 1 1/8

x-(5/2)= 9/8

x= 9/8 + 5/2

x= 29/8= 3 5/8

Therefore 3 5/8 pizzas were there at the start of the party.

Step-by-step explanation:

that is the correct answer above

Answer:

So correct option is D)

Hope it helps you:)

280 dogs in all of the city's animal shelters are puppies. The solution has been obtained by using ratios.

What is ratio?

The ratio between two amounts of the same unit can be used to determine how much of one quantity is included in the other.

We are given that different animal shelters in a city shows that 10 of the 70 dogs are puppies and the city's animal shelters collectively house 1,960 dogs each year.

So, from this we get the ratio as

⇒ [tex]\frac{10}{70}[/tex] = [tex]\frac{x}{1960}[/tex]

Now, by cross multiplying, we get

⇒ 19,600 = 70x

⇒ x = 280

Hence, 280 dogs in all of the city's animal shelters are puppies.

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Answer:

y = {18 x + 14, 14 - 15 x, 14 - 39 x}

Step-by-step explanation:

There is zero context to this, so I have no clue if this helps or even answers your question. Try harder with the question next time.