A ball is thrown at an initial height of 5 feet with an initial upward velocity at 29 ft/s. The balls height h (in feet) after t seconds is give by: h= 5 + 29t -16t^2. Find the values of t if the balls height is 17ft. Round your answer(s) to the nearest thousandth.

The BMI of an 118-lb adult who is 5 feet 4 inches tall is approximately 20.25.

BMI stands for Body Mass Index.

It's a measure of body fat based on height and weight that applies to both adult men and women.

BMI is an easy-to-perform screening tool for body fat levels that can help identify individuals who have health risks linked with excess body fatness.

It's important to keep in mind that the BMI measurement should not be used as a diagnostic tool for health conditions and is only one component in an overall evaluation of a person's health status.

Using the formula below, we can calculate the BMI of an 118-lb adult who is 5 feet 4 inches tall: BMI = (weight in pounds / (height in inches x height in inches)) x 703

First, we need to convert the height into inches:5 feet 4 inches = 64 inches

Next, we plug the values into the formula and solve for the BMI:

BMI = (118 / (64 x 64)) x 703BMI = (118 / 4,096) x 703BMI = 0.0288 x 703BMI = 20.2464

Therefore, the BMI of an 118-lb adult who is 5 feet 4 inches tall is approximately 20.25.

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Answer:

x= 0.5

Step-by-step explanation:

It makes sense

The value of x is 1/2.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

–3x + 1 + 10x = x + 4

Now, solving for x

-3x+ 10x - x = 4 - 1

7x - x = 3

6x = 3

x= 3/6

x= 1/2

Hence, the value of x is 1/2.

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Suction

ule hash

x(u,v) = u Y(UN) = =-4V

Therefore

DT (u,v) = av วง DT (UN) = [ㅎ]

Thus,

J (u,v) = det DT (u,v) = |: 1

J(u,v) = -4

here is response J(u,v) = -4

Common synonyms for response include response, rejoinder, rejoinder, and rejoinder. All of these words mean ``speak, write, or something in return,'' but the response may mean a quick or spontaneous response to someone or something that acts as a stimulus.

text A reply is a writing style that expresses your reaction to something. It's your chance to let the world know you're thinking about something. Text response is also called reader response, which is correct, but is sometimes confused with read-and-write narrative.

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Answer:

432

Step-by-step explanation:

Hope this helps!

When a prism is cut by a plane parallel to its bases and perpendicular to its height h, the shape of the intersection will be a rectangle. It is important to note that the rectangle may have different side lengths depending on the specific dimensions of the prism.

If a prism is cut by a plane that is parallel to the bases of the prism and perpendicular to its height h, the shape of the intersection between the prism and the plane would be a rectangle.

When a plane intersects a prism parallel to its bases, it creates cross-sections that are congruent to the bases. This means that the resulting shape of the intersection will have the same outline as the original bases of the prism.

Since the bases of a prism are typically quadrilaterals with right angles, such as rectangles or squares, the intersection shape will also have those characteristics. In this case, since the prism is cut by a plane parallel to its bases, the intersections will be congruent to the bases and have the same shape.

A rectangle is a quadrilateral with four right angles, and its opposite sides are equal in length. When a prism is cut by a plane parallel to its bases, the resulting intersection shape will maintain these properties and be a rectangle.

Therefore, when a prism is cut by a plane parallel to its bases and perpendicular to its height h, the shape of the intersection will be a rectangle. It is important to note that the rectangle may have different side lengths depending on the specific dimensions of the prism.

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To find:

The sketch of v, 2v and 1/2 v.

Solution:

Given the v = <3,2>.

(a)

The sketch of v is shown below:

(b)

The value of 2v can be obtained as follows:

The sketch of 2v is shown below:

(c)

The value of 1/2 v can be obtained as follows:

The sketch of 1/2 v is shown below:

Answer:

The maximum height of the ball is: 14.0625ft

Step-by-step explanation:

The missing information is:

\(h(t) = 30t - 16t^2\)

Required

The maximum height the ball attained

First, we calculate the time to reach the maximum height.

For a function: \(h(t) = at^2 + bt + c\)

The maximum is: \(t = \frac{-b}{2a}\)

So, the maximum of \(h(t) = 30t - 16t^2\) is:

\(t = \frac{-b}{2a}\)

Where

\(a = -16; b = 30\)

So:

\(t = -\frac{30}{2*-16}\)

\(t = -\frac{30}{-32}\)

\(t = \frac{30}{32}\)

\(t = 0.9375\)

The maximum height is then calculated as:

\(h(t) = 30t - 16t^2\)

\(h(0.9375) = 30 * 0.9375- 16 * 0.9375^2\)

\(h(0.9375) = 28.125- 14.0625\)

\(h(0.9375) = 14.0625\)

Answer:

128 x 7 = 896

896 + 3 = 899

Correct

Answer:

-2/3

Step-by-step explanation:

Rise= -2

Run= 3

-2/3

Answer:

1,422

Step-by-step explanation:

goodluck <3

answer: -3

hope this helps :)

Answer:

8 + 6t

Step-by-step explanation:

just distribute the negative signs in front of the parenthesis which is technically just -1

or if its easier, just multiply the numbers inside the parenthesis by -1 and get rid of the parenthesis

The minimum number of dots that could lie on the whole surface of four standard dice glued together is 56.

This can be achieved by placing the faces with 1 dot opposite the faces with 6 dots, the faces with 2 dots opposite the faces with 5 dots, and the faces with 3 dots opposite the faces with 4 dots on all four dice. Since the sum of the numbers on opposite faces of each individual die is always 7, the sum of the numbers on opposite faces of the four glued-together dice is also always 7. Therefore, the minimum number of dots on the whole surface is 7 times the number of faces, which is 7 x 8 = 56.

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Answer:

Step-by-step explanation:

Based on the information in the tape diagram and table, we can see that the ratio of oil to vinegar in Iara's salad dressing is 8 to 1. This means that for every 8 spoonfuls of oil, she uses 1 spoonful of vinegar.

To calculate the amount of oil and vinegar in the dressing, we can use the following formula:

amount = original ratio * total amount of dressing ÷ (original ratio + 1)

For the oil, the formula would be:

oil amount = 8 * 33 ÷ (8 + 1) = 8 * 33 ÷ 9 = 88 spoonfuls

And for the vinegar, the formula would be:

vinegar amount = 1 * 33 ÷ (8 + 1) = 1 * 33 ÷ 9 = 11 spoonfuls

So the final answer is:

Oil: 88 spoonfuls

Vinegar: 11 spoonfuls

The correct option is (C) Isosceles. An Isosceles triangle can be constructed with a 50° angle between two 8-inch sides.

This is because isosceles triangle having two sides that are equal in length, and have 50° angle, which is acute angle, that is less than 90°. This state that the remaining angle in the triangle must also be acute triangle, as the sum of all angles in a triangle must equal 180°.

This means that the remaining angle must be 80° (i.e. 180 - 50 = 80). An isosceles triangle is triangle consisting of  two sides of equal length and two angles of equal measure. The two equal sides that make up the isosceles triangle are referred to as the base and the remaining side is height or altitude.

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As per the given information, we can conclude that the average distribution of colors in a bag of Skittles is:

- 20% of bags have an equal number of candies of each color. So, each color will have 100/6 = 16.67 (approx. 17) pieces of candy.

- 40% of bags have a 2-1-1-3-1-1 ratio of colors. Using this ratio, we can find out the number of pieces for each color:

- Red: 2/8 * 100 = 25

- Orange: 1/8 * 100 = 12.5 (approx. 13)

- Yellow: 1/8 * 100 = 12.5 (approx. 13)

- Green: 3/8 * 100 = 37.5 (approx. 38)

- Blue: 1/8 * 100 = 12.5 (approx. 13)

- Purple: 1/8 * 100 = 12.5 (approx. 13)

- 40% of bags have only red candies, which means the remaining colors have 0 pieces.

Therefore, the average distribution of colors in a bag of Skittles can be calculated as:

- Red: 40% * 100 = 40 pieces

- Orange: (20% * 17) + (40% * 13) = 4.4 + 5.2 = 9.6 (approx. 10)

- Yellow: (20% * 17) + (40% * 13) = 4.4 + 5.2 = 9.6 (approx. 10)

- Green: (20% * 17) + (40% * 38) = 4.4 + 15.2 = 19.6 (approx. 20)

- Blue: (20% * 17) + (40% * 13) = 4.4 + 5.2 = 9.6 (approx. 10)

- Purple: (20% * 17) + (40% * 13) = 4.4 + 5.2 = 9.6 (approx. 10)

Thus, the average distribution of colors in a bag of Skittles is 40 pieces of red, 10 pieces each of orange, yellow, blue, and purple, and 20 pieces of green.

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the parallel line is 2x+5y+15=0.

Step-by-step explanation:

ok I hope it will work

soo,

Solution

given,

given parallel line 2x+5y=15

which goes through the point (-10,1)

now,

let 2x+5y=15 be equation no.1

then the line which is parallel to the equation 1st

2 x+5y+k = 0 let it be equation no.2

now the equation no.2 passes through the point (-10,1)

or, 2x+5y+k =0

or, 2*-10+5*1+k= 0

or, -20+5+k= 0

or, -15+k= 0

or, k= 15

putting the value of k in equation no.2 we get,

or, 2x+5y+k=0

or, 2x+5y+15=0

which is a required line.

Answer:

obtuse

Step-by-step explanation:

A triangle with sides of 3,4and6 is NOT a Right triangle.

According to a recent survey of 1,001 adult Canadians, 27 percent of respondents indicated that they do not want to be unionized.

The survey of 1,001 adult Canadians asked respondents about their preference regarding unionization. Out of the total respondents, 27 percent expressed that they do not want to be unionized. This percentage represents the proportion of individuals who indicated a lack of interest or desire to be part of a labor union.

It is important to note that without additional information about the survey methodology, sample representation, and any potential biases, the result should be interpreted within the context of the survey's limitations. The percentage obtained from the survey reflects the preferences of the respondents in the sample but may not necessarily represent the opinions of the entire population of adult Canadians.

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Answer:

it's = 0

you have to use the steps of maths

Answer:

If its just 15 then its 1

Step-by-step explanation:

Because 15 divided by 1 is 15 which is the fraction.

Answer:

Below,...!

Step-by-step explanation:

15 is not a fraction as is you can put any number over a one and that whole number immediately becomes a fraction:

\(\frac{7}{1} or \frac{43}{1} or \frac{987}{1} or \frac{1}{1} or \frac{15}{1}\)

15/1 is your fraction so 15/1 divided into 15 equals 1

\(\frac{15}{1} / 15 = 1/1 = 1\)

Answer: 1

Chow,...!

\(\begin{array}{cllll} -6x+5y&=&34\\ -6x-10y&=&4 \end{array} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{ \textit{using elimination method} }{\begin{array}{cllll} \text{\LARGE -1}(-6x+5y&=&34)\\ -6x-10y&=&4 \end{array}}\implies \begin{array}{clclll} 6x ~~ -5y&=&-34\\ -6x-10y&=&4\\\cline{1-3} 0 ~~ -15y&=&-30 \end{array} \\\\\\ -15y=-30\implies y=\cfrac{-30}{-15}\implies y=2 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{substituting on the 1st equation}}{-6x+5(2)=34\implies} -6x+10=34\implies x=\cfrac{24}{-6}\implies x=-4 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill (-4~~,~~2)~\hfill\)

Your approach is incorrect because it overcounts the possible arrangements.

Your initial step of placing one person in one of the five groups is correct. There are indeed five ways to do that. However, the subsequent probabilities you calculated are incorrect.

The flaw in your approach lies in assuming that there are only 14 students remaining to be placed in the groups after the first person is assigned. This assumption is incorrect because once the first person is placed in a group, there are only 14 students left, but we are specifically interested in the probability of the second and third desired persons being in the same group.

Let's consider a correct approach using the combination formula:

First, let's calculate the total number of ways to divide 15 students into five groups of three each. We can use the combination formula for this:

C(n, r) = n / (r(n - r)

Where n is the total number of students (15) and r is the number of students in each group (3).

C(15, 3) = 15! / (3 (15 - 3) = 455

So, there are 455 possible ways to divide the students into groups.

Now we have 13 entities: {Linda, Martin, Nancy, 12 remaining students}.

We need to place these 13 entities into 5 groups. The number of ways to do this is given by the combination formula:

C(13, 3) = 13 / 3 (13 - 3)= 286

Therefore, there are 286 ways to place Linda, Martin, and Nancy in the same group.

Finally, we can calculate the probability by dividing the number of favorable outcomes (286) by the total number of outcomes (455):

Probability = 286 / 455 = 2 / 3

So, the probability that Linda, Martin, and Nancy are in the same lab group today is 2/3.

Note that the 5 you mentioned is unnecessary because it incorrectly assumes that there are 14 students remaining after placing the first person. It's important to consider the correct number of entities and groups throughout the calculation.

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The total number of possible combinations of numbers and letters on the license plates: 10 * 9 * 8 * 26 * 26 * 26

For the first number on the license plate, there are 10 options (0-9). For the second number, there are 10 options again, but since the numbers cannot be repeated, only 9 options are available. Similarly, for the third number, there are 10 options initially, but since the numbers cannot be repeated, only 8 options remain.

For the letters, there are 26 options for each position (first letter, second letter, and third letter) since all 26 letters of the alphabet can be used. The letters can be repeated, so there are no restrictions on the number of options for each letter.

To calculate the total number of different license plates, we multiply the number of options for each position together: 10 * 9 * 8 * 26 * 26 * 26. This gives us the total number of possible combinations of numbers and letters on the license plates.

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Answer:

yall not all of the answers for these ones are on here. go to symbolab and type in the hyperbola like x^2/a^2-y^2/b^2=1 and look at where it intersects the axis. it'll get you the right answer

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The third graph aka the one that looks most like an X. It's right because Edge said so.

Assuming its y^2/6^2 - x^2/2^2 = 1 I repeat the answer is the third graph. C.

75% people came to each other activities

PERCENTAGES:

percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part; thus, 100 percent represents the entirety and 200 percent specifies twice the given quantity.

The music concert was attended by 250 people

350 people attended the drama play

the percentage of people at other activities

30 /100 × 250 = 75%

75% people came to each other activities

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Answer:

π112 or 3.14(112)

Step-by-step explanation:

Answer:

351.86

Step-by-step explanation: