I don't understand It sucks

Answer:

(a) 7.5 seconds

(b) The horizontal distance the package  travel during its descent is 1737.8 ft

Step-by-step explanation:

(a) The given function for the height of the object is s = -16·t² + v₀·t + s₀

The initial height of the object s₀ = 900 feet

The initial vertical velocity of the object v₀\(_y\) = 0 m/s

The time it takes the package to strike the ground is found as follows;

0 = -16·t² + 0×t + 900

900 = 16·t²

t² = 900/16 = 62.25

t = √62.25 = 7.5 seconds

(b) Given that the horizontal velocity of the package is given as 158 miles/hour, we have

158 miles/hour = 231.7126 ft/s

The horizontal distance the package  covers in the 7.5 second of vertical flight = 231.7126 ft/s × 7.5 s = 1737.8445 feet = 1737.8 ft to one decimal place

The horizontal distance the package  travel during its descent = 1737.8 ft.

Answer: B not sure if I’m right though .

Step-by-step explanation:

Answer:

answer would be c

Step-by-step explanation:

-8+R=-2

is R=6

Answer:

60

Step-by-step explanation:

asked google

Answer:

60

Step-by-step explanation:

5: 5 10 15 20 25 30 35 40 45 50 55 60 65 70

12: 12 24 36 48 60 72 84

Answer:

x = 0.3

Step-by-step explanation:

x=\sqrt{0.09},\:x=-\sqrt{0.09}\quad

In lexicographical order, uppercase letters generally come before lowercase letters. When comparing the strings "Car" and "car," we consider the characters from left to right and compare their corresponding ASCII values.

The first character in both strings is 'C' in "Car" and 'c' in "car." In the ASCII table, the uppercase 'C' has a smaller value compared to the lowercase 'c.' Since the uppercase 'C' comes before the lowercase 'c' in the ASCII sequence, we can conclude that "Car" comes before "car" in lexicographical order.

When ordering strings lexicographically, the comparison is done on a character-by-character basis from left to right. If the characters in the corresponding positions are equal, the comparison moves on to the next character. However, in this case, the characters 'C' and 'c' are not equal, and the comparison can be determined immediately.

The concept of lexicographical order is based on the alphabetical order of characters, with uppercase letters typically preceding lowercase letters. It is essential to note that different programming languages or sorting algorithms may have slight variations in how they handle uppercase and lowercase letters in lexicographical order. However, the general rule remains the same: uppercase letters precede lowercase letters.

In conclusion, in lexicographical order, the string "Car" comes before the string "car" due to the lowercase 'c' having a higher ASCII value than the uppercase 'C.'

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The equivalent operation is: b = (a < 5) ? 12 : (d = 30);

The original if/else statement is:

if (a < 5)

   b = 12;

else

   d = 30;

In this statement, the condition (a < 5) is evaluated. If the condition is true (i.e., if the value of a is less than 5), then the statement b = 12; is executed. Otherwise, if the condition is false (i.e., if the value of a is greater than or equal to 5), then the statement d = 30; is executed.

The equivalent operation using the conditional (ternary) operator is:

b = (a < 5) ? 12 : d = 30;

In this statement, the condition (a < 5) is evaluated. If the condition is true, the value 12 is assigned to b. This is indicated by ? in the statement. The : separates the true and false cases.

If the condition is false (i.e., if the value of a is greater than or equal to 5), the value 30 is assigned to d. This is the value assigned after the : in the statement.

The ternary operator statement (a < 5) ? 12 : d = 30; achieves the same outcome as the original if/else statement, providing an alternative way to write the logic based on the condition a < 5.

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To convert 21.73 m to customary units, we need to use the conversion factors as follows:

meter = 39.37 inches1

inch = 2.54

cm1 foot

= 12 inches

We have:

21.7.

3 m

= 21.73 x 39.37 inches (since 1 mete

r = 39.37 inches)

= 856.301 inches

= 71 feet 4.3 inches (since 1 foot = 12 inches)

The smallest tick mark on

1" = 1' 0"

architect’s scale is 1/16 inch.

This means that there are 16 tick marks in an inch. A fractional ruler was used for scale measurements of a line on the 1/4" = 1'-0" scale. The two ends of the line correspond to 6 2.7/4" and 9 6/8". To get the length of the line in inches, we need to convert the two ends to inches, then subtract them to get the length as follows:

\(6 2.7/4" \\= 6 x 12 + 2.7\\ = 74.7"  (since 1 foot\\ = 12 inches)\\9 6/8" = 9 x 12 + 6 \\= 114" (since 1 foo\\t = 12 inches)\)

Length of the line = 114 - 74.7 = 39.3 inches (rounded off to one decimal place)

Multiplying 3/5 by

\(17/13\\ gives:\\3/5 x 17/13\\= (3 x 17)/(5 x 13)\\= 51/65\)

This is already in its lowest form.

Therefore, the answer is:51/65 (an improper fraction)

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Variance and standard deviation are both measures of the dispersion or spread of a dataset, but they differ in terms of the unit of measurement.

Variance is the average of the squared differences between each data point and the mean of the dataset. It measures how far each data point is from the mean, squared, and then averages these squared differences. Variance is expressed in squared units, making it difficult to interpret in the original unit of measurement. For example, if we are measuring the heights of individuals in centimeters, the variance would be expressed in square centimeters.

Standard deviation, on the other hand, is the square root of the variance. It is a more commonly used measure because it is expressed in the same unit as the original data. Standard deviation represents the average distance of each data point from the mean. It provides a more intuitive understanding of the spread of the dataset. For example, if the standard deviation of a dataset of heights is 5 cm, it means that most heights in the dataset are within 5 cm of the mean height.

To illustrate the application of these measures, consider a dataset of test scores for two students: Student A and Student B.

If Student A has test scores of 80, 85, 90, and 95, and Student B has test scores of 70, 80, 90, and 100, we can calculate the variance and standard deviation for each student's scores.

The variance for Student A's scores might be 62.5, and the standard deviation would be approximately 7.91. For Student B, the variance might be 125 and the standard deviation would be approximately 11.18.

These measures help us understand how much the scores deviate from the mean, and how spread out the scores are within each dataset.

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The function rule for f⁻¹ is f⁻¹(y)=(x/4)+4. And, the function rule for g⁻¹ is g⁻¹(v)=(4u-65)/2.

The inverse function is defined as the function that is considered "undo" or reverse of another function. For example, let us consider a function to be f. Then, the inverse function is written as f⁻¹.

a) Given f(x)=4x-16. Let's consider y=f(x)=4x-16. Then,

y=4x-16

4x=y+16

x=(y+16)/4

=(y/4)+4

To find the inverse function, then put x=y, we get,

f⁻¹(y)=(x/4)+4

b) Given g(u)=(2u+9)/4+14. Let g(u)=v=(2u+9)/4+14. Then,

v-14=(2u+9)/4

2u+9=4v-56

2u=4v-65

u=(4v-65)/2

To find the inverse function, then put u=v, we get,

g⁻¹(v)=(4u-65)/2

The required answers are f⁻¹(y)=(x/4)+4 and g⁻¹(v)=(4u-65)/2.

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The complete question is -

a. Given that f(a) = 4x-16 where f(x) = y, define a function rule for f⁻¹.

f⁻¹(y) =

b. Given that g(u) = (2u + 9)/4 +14 where g(u) = v, define a function rule for g⁻¹.

g⁻¹(v) =

Answer:

12/3=4 ..............

Answer:

( -9, -6)

Step-by-step explanation:

The red dot is the original (6, 9)

The blue dot is when it is rotated 270 degrees clockwise (-9, -6).

The exact value of tan 0, given sec 8 and 0 in quadrant IV, is -17/9. Option d is correct. In quadrant IV, cosine is positive and sine is negative.

Since secant is the reciprocal of cosine, sec 8 will be positive. To find the value of tan 0, we can use the identity tan²(theta) = sec²(theta) - 1.

Given that sec 8 is positive, we can determine its value using the identity sec²(theta) = 1 + tan²(theta). In this case, sec²(8) = 1 + tan²(8). Since sec 8 is known, we can solve for tan 8.

sec²(8) = 1 + tan²(8)

1 + tan²(8) = sec²(8)

tan²(8) = sec²(8) - 1

Substituting the value of sec 8, we get:

tan²(8) = (1/cos²(8)) - 1

Now, we can take the square root of both sides and consider the negative value for tan 0 since 0 is in quadrant IV:

tan 8 = -√[(1/cos²(8)) - 1]

tan 0 = -√[(1/sec²(8)) - 1]

      = -√[(1/(sec 8)²) - 1]

      = -√[(1/(sec 8))² - (sec 8)²/(sec 8)²]

      = -√[(1 - (sec 8)²)/(sec 8)²]

      = -√[-1/(sec 8)²]

      = -1/(sec 8)(√[1/(sec 8)²])

      = -1/(sec 8)(1/(sec 8))

      = -1/(sec 8)²

      = -1/(sec²(8))

      = -1/cos²(8)

      = -1/(1/cos²(8))

      = -1/(1/sec²(8))

      = -1/(1 + tan²(8))

      = -1/(1 + tan²(0))

      = -1/(1 + (-17/9)²)

      = -1/(1 + 289/81)

      = -1/(370/81)

      = -81/370

      = -17/9

Therefore, the exact value of tan 0, given sec 8 and 0 in quadrant IV, is -17/9.( Option d)

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Answer:

Jon is now 10% faster.

Step-by-step explanation:

Since Jon's average speed was 20 MPH and his new average speed is now 22 MPH, we can see that his speed increased by 2 MPH. Now we know that, we would now do 2÷20 = .1

10% is the percent form of 0.1

The value of length of side of triangle AD using the angle bisector theorem is obtained as: AD = 4.68.

Angles are measurements created by joining two lines, also known as the vertex. Geometric forms such as triangles but also rectangles contain internal angles produced by their sides.

Using the angle bisector theorem in the given triangles:

The ratios of the sides will be equal.

AB / BC = AD / DC

AB = 9 ; BC = 11.7 AD = 3.6

Put the values.

9/11.7 = 3.6 / AD

AD = 3.6*11.7 / 9

AD = 4.68

Thus, the value of length of side of triangle AD using the angle bisector theorem is obtained as: AD = 4.68.

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Answer:

98

Step-by-step explanation:

3 bed house= 33 rooms

4 bed house 40 rooms

4 bed house 25 rooms

each house is worth 2 houses. so u double everything

hope I got it right

The value of sin(30°) is 1/2.

The branch of mathematics concerned with specific functions of angles and their application to calculations.

The diagram is attached below:

We know,

sin 30= Perpendicular/ Hypotenuse.

As, the hypotenuse is the opposite side of the right angle and the perpendicular is opposite to the given angle.

So,

sin 30 = 5/10

sin 30 = 1/2

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Answer:

32 pounds of almonds

Step-by-step explanation:

Let the number of pounds of almond be a while that of cashews be c

we want to make a total of 80 pounds

Thus;

a + c = 80 ••••••••(i)

Furthermore;

Let us work with the costs

Costs of a pounds of almonds will be ;

a * 2.5 = 2.5a

cost of c pounds of cashews

c * 3.25 = 3.25c

Total cost at which they sell will be 80 * 2.95 = 236

Thus;

3.25c + 2.5a = 236 •••••(ii)

From i, c = 80-a

Put this into ii

3.25(80-a) + 2.5a = 236

260-3.25a + 2.5a = 236

0.75a= 24

a = 24/0.75

a = 32

Answer:

Step-by-step explanation:

34567

Answer:

3/5^4

Step-by-step explanation:

(2^5 / 3^2)^4

(32 / 9)^4

= 159.8195

Answer: 2. Two numbers are 35 and 21

Step-by-step explanation:

( see images!)

so hmm the reply above is very nice by "2023Kl" for 2)

let's poke the one before 2)

J = Jar of cottage cheese price

B = Buns of bread price

so two J and three B cost €10, that means 2J + 3B = 10.

we also know that one J is €2 more than a B, so J = B + 2.

\(J=B+2 \\\\[-0.35em] ~\dotfill\\\\ 2J+3B=10\implies \stackrel{\textit{substituting from above}}{2(B+2)+3B=10}\implies 2B+4+3B=10 \\\\\\ 5B+4=10\implies 5B=6\implies B=\cfrac{6}{5}\implies \boxed{B=1.2} \\\\\\ J=B+2\implies J=\cfrac{6}{5}+2\implies J=\cfrac{6+10}{5}\implies J=\cfrac{16}{5}\implies \boxed{J=3.2}\)

The sample size is too small, the sample is not representative of the population and the wording of survey question influences the response self-selected sample are potential limitations for a research study.

The sample size being too small can limit the accuracy and precision of the results and reduce the power of statistical tests.

A sample not being representative of the population can result in sampling bias, which can affect the validity of the results.

The wording of a survey question can influence the response, which can result in biased results. A self-selected sample, where participants voluntarily participate in a study, can also result in biased results because only those who are interested or motivated to participate will do so.

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The cliff is 98.89 feet tall.

In the attached diagram, we can there are two triangles forming. Small triangle involves Juan and tent and larger triangle involves Juan and cliff. As per the known fact, tan theta = perpendicular ÷ base. So, tan theta will be common for both the triangles. Hence, relating the components of tan theta, of both the triangles.

Smaller triangle :

tan theta = 10/45

Larger triangle :

tan theta = h/(400 + 45)

tan theta = h/445

Relating both the triangles as follows -

10/45 = h/445

Performing cross multiplication

10×445 = h×45

h = 4450÷45

h = 98.89 feet

Hence, the cliff is 98.89 feet tall.

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Answer:   The three sides are 15 cm, 25 cm, 30 cm

=====================================================

Explanation:

Let x be some positive real number

The sides are in ratio 3:5:6 which means we can multiply all three sides by x getting 3x:5x:6x

The sides of the triangle are 3x, 5x and 6x. The sides add up to the perimeter 70

3x+5x+6x = 70

14x = 70

x = 70/14

x = 5

With this x value, we can find the three sides

The three sides are 15 cm, 25 cm, 30 cm.

As a check:

15+25+30 = 40+30 = 70

and note how the ratio 15:25:30 reduces to 3:5:6 after dividing all three parts by the GCF 5

Both conditions are satisfied, so we have confirmed our answers.

Answer:

5

Step-by-step explanation:

(3x) + (5x) (6x) = 70

=     14             = 70

        70/14

=     5

When we roll three fair coins, there are two possible outcomes for each coin - either it lands heads up or tails up. There are 8 elementary events in the sample space of the experiment of rolling three fair coins.

The sample space of this experiment consists of all possible combinations of three outcomes, which can be calculated by multiplying the number of outcomes for each coin: 2 x 2 x 2 = 8.
Each of these combinations is called an elementary event, which means that there are 8 elementary events in the sample space of the experiment of rolling three fair coins. We can list them as follows:
1. HHH (all three coins land heads up)
2. HHT (two coins land heads up, one lands tails up)
3. HTH (two coins land heads up, one lands tails up)
4. THH (two coins land heads up, one lands tails up)
5. HTT (one coin lands heads up, two land tails up)
6. THT (one coin lands heads up, two land tails up)
7. TTH (one coin lands heads up, two land tails up)
8. TTT (all three coins land tails up)

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By completing the squares we will see that the solutions are:

a) For 2x^2 + 8x - 1 = 0:

x = -2 ±√4.5

b) For x^2+4x-7 = 0

x = ±√11 - 2

Remember that the perfect square trinomial is:

(a + b)^2 = a^2 + 2ab + b^2

The first quadratic equation is:

2x^2 + 8x - 1 = 0

Dividing by 2 we get:

x^2 + 4x - 1/2 = 0

We can rewrite this as:

x^2 + 2*2*x - 1/2 = 0

Adding and subtracting 2^2 = 4, we get:

x^2 + 2*2*x + 4 - 4 - 1/2 = 0

(x + 2)^2 - 4 - 1/2 = 0

(x + 2)^2 = 4.5

Now we can solve this:

x + 2 = ±√4.5

x = -2 ±√4.5

These are the two solutions.

The other quadratic equation is:

x^2+4x-7 = 0

We can rewrite this as:

x^2 + 2*2*x - 7 = 0

Again, add and subtract 4 to get:

x^2 + 2*2*x + 4 - 4 - 7 = 0

(x + 2)^2 = 11

Solving this we get:

x = ±√11 - 2

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Answer:

provide a valid passport

Step-by-step explanation:

Answer:

be a us citizen

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

3500 divided by 5 equals 700

700 times 7% equals 49

Answer:

Why might Washington have fought inequality privately instead of openly calling for an end to legal discrimination

Step-by-step explanation:

noono