A favorite activity at LNHS is throwing paper


balls into the trashcan while the teacher isn't


looking. Suppose a paper ball is shot from 5 feet


off the ground, and the paper ball reaches a


height of 10 feet after 3 seconds.


*Write the equation that models the height (h)


of the paper ball at any given second (t).



Help me!!

Answer:

divide the monthly payments by the hire purchase

Step-by-step explanation:

this may be what your asking

Answer:

-2/1

Step-by-step explanation:

Answer:

The multiplicative inverse is 2

Step-by-step explanation:

In mathematics, we call the number 1 the multiplicative identity because if we multiple any number by 1, we get that same number as our answer. A multiplicative inverse of a number, x, is a number y, such that if we multiply x times y, then we get the multiplicative identity. That is, x × y = 1.

Polygons are shapes that have the following:

-sides are all straight

-no overlapping

-shape is always closed

Hope this helps :)

Answer:

A. 27 sq. units

Step-by-step explanation:

A = 1/2 · b · h

A = 1/2 · 3 · 18

A = 1/2 · 54

A = 27 sq. units

Answer:A-27

Step-by-step explanation:

A=1/2 18*3=27

The angle measure of m∠CAF = 23°.

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

Given:

The angle measures,

m∠EBG = 23°

m∠CAE = 52°

From  the figure,

m∠EBG = m∠FAE = 23°

So, from the figure,

m∠CAE = m∠CAF + m∠FAE

Substituting the angle measures,

52 =  m∠CAF + 23

m∠CAF = 52 - 23

 m∠CAF = 22°

Therefore, 23° is the angle measure of  m∠CAF.

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(a) The slope of the line AB is -2. (b) The equation of the line AB is y = -2x + 2, with x-intercept (1, 0) and y-intercept (0, 2). (c) The midpoint of AB is (4, -6).

The slope of the line that contains points A and B is -2. The equation of the line passing through A and B is y = -2x + 2.

  The x-intercept is (1, 0) and the y-intercept is (0, 2).

The midpoint of segment AB is (4, -6).

The length of segment AB can be found using the distance formula:

  AB = √[(10 - (-2))^2 + (-14 - 2)^2] = √(12^2 + (-16)^2) = √(144 + 256) = √400 = 20.

(e) The equation of the perpendicular bisector of AB can be found by finding the midpoint and the negative reciprocal of the slope of AB. The midpoint is (4, -6), and the negative reciprocal of the slope of AB is 1/2. Therefore, the equation of the perpendicular bisector is y = (1/2)x - 8.

(f) The equation of the circle for which AB is a diameter can be found by taking the midpoint of AB and the distance between A and B to find the radius. The center of the circle is the midpoint (4, -6), and the radius is half the length of AB, which is 10. Therefore, the equation of the circle is (x - 4)^2 + (y + 6)^2 = 100.

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The number of the seat in the 18th row will be 113.

Let a₁ be the first term and d is the common difference between the terms. Then the nth term will be given as

\(\rm a_n = a_1 + (n - 1)d\)

Denise is designing the seating arrangement for a concert, an outdoor theater.

To give everyone a good view, each row must have 6 more seats than the row before it, and the 1st row can only have 11 seats.

Then Denise plans the rest of the seating by solving for how many seats are in row 18.

Then the number of the seat in the 18th row will be given as

a₁ = 11

d = 6

n = 18

Then we have

a₁₈ = 11 + (18 – 1) x 6

a₁₈ = 11 + 17 × 6

a₁₈ = 11 + 102

a₁₈ = 113

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Answer:

1. b = 40

2. b = 3

3. b = 10

Step-by-step explanation:

1. y is 40 more than 5 times x.

Equation: y = 5x + 40

b = 40

2. y is 3 more than twice the value of x.

Equation: y = 2x + 3

b = 3

3. y is 10 more than 6 multiplied by x.

Equation: y = 6x + 10

b = 10

Answer:

Slope ( simplified ) = -2

Step-by-step explanation:

Slope Formula: \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

( -4, -1 )

( -2, -5 )

\(\frac{-5-(-1)}{-2-(-4)}\) = \(\frac{-5+1}{-2+4}\) = \(\frac{-4}{2}\) = -2

Slope ( simplified ) = -2

Answer:

66.04

Step-by-step explanation:

26 x 2.54 =

= 66.04

Answer:

66.04 cm

Step-by-step explanation:

All you need to do is multiply 2.54 cm twenty-six times for your answer.

     2  .  5      4

2║40║10 ║0.8  ║→ 50.8

6║ 12║ 3 ║0.24║→ 15.24

50.8 + 15.24 = 66.04

Answer:

Area for sector = arc measure/360 degrees times pir^2

145 degrees/360 degrees times pi3.7^2 =

0.40277 times 13.69pi =

17.314in.^2 or B.

Answer:

13 cubes

Step-by-step explanation:

cube is a 3D square basically

so you can do the volume

2 * 1 * 7/4

14/4

14/4 and you divide it by 1/4

14/4 ÷ 1/4 or 14/4 * 4/1

52/4

13 cubes

Answer:

224 cubes to fill the entire prism.

Step-by-step explanation:

using the formula:

full prism volume: 2 * \(\frac{7}{4}\) * 1 = 3.5 cm³

volume of single cube: (\(\frac{1}{4}\))³ = \(\frac{1}{64}\) cm³

so ? cubes to fill: 3.5 /  \(\frac{1}{64}\) = 224 cubes.

Answer:

SSS

Step-by-step explanation:

because the triagles are pretty much the same the one on the left is half of the one on the right

I got similar SAS on mine

The critical value for this two-tailed test is 2.6759.

To conduct a two-tailed test at the 0.01 level of significance with a sample of 55 observations, we use the t-distribution because the population standard deviation is unknown. The critical value is determined by dividing the significance level (0.01) by 2 to account for both tails of the distribution. This gives an alpha level of 0.005. Using the degrees of freedom for a sample of size 55 (54 degrees of freedom), we find the corresponding critical value from a t-distribution table or calculator. In this case, the critical value is approximately 2.6759 when rounded to four decimal places.Since the population standard deviation is unknown, we'll use the t-distribution instead of the standard normal distribution. The degrees of freedom for a sample of size 55 is 54. Using a t-distribution table or a statistical calculator, the critical value for an alpha level of 0.005 and 54 degrees of freedom is approximately 2.6759 (rounded to four decimal places).

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Let y: R → R³ be a parametrized curve, let f(x, y, z) be a differentiable function and let F(t) = f(y(t)). Then the statement that is not true is (e)

For any point (x, y, z) the direction of the rate of greatest increase of f is opposite to the direction of the rate of greatest decrease.

A parametrized curve, often known as a parameterized curve or a curve defined by a parametric equation, is a collection of points in Euclidean space that are determined by a set of continuous functions known as parameters.The rate of increase or decrease of a function is determined by its first partial derivatives.

Let's look at each alternative in turn to determine which is not true:

(a) If Vf(y(to)) = 0, then F'(to) = 0.This statement is true.

If the directional derivative of f at y(to) is zero, the derivative of F at to is also zero.

(b) If F'(to) = 0, then Vf(y(to)) = 0.This statement is true as well. The directional derivative of f at y(to) is zero if and only if the derivative of F at to is zero.

(c) The tangent line to y at y(to) is parallel to y'(to).This statement is true. The tangent line to y at y(to) is parallel to y'(to).(d) If the image of y lies in a surface of the form f(x, y, z) = c, then F(t) is constant.This statement is also true. If the image of y lies in the level surface of f corresponding to the constant value c, then F(t) is constant.

(e) For any point (x, y, z) the direction of the rate of greatest increase of f is opposite to the direction of the rate of greatest decrease.This statement is false. There are no restrictions on the direction of the rate of increase or decrease of f.

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Multiplicity of 3 is the number of times that the value 3 appears as a root of an equation  is the multiplicity of 3 is 3

Multiplicity of 3 (also known as a 3-fold root) is a mathematical concept used to describe the number of times a certain value appears as a root (or solution) of an equation. Specifically, it refers to the number of times a certain value appears as a root of a given equation when the equation is solved.

For example, the equation x2 = 9 has three solutions: x = 3, -3, and 0. This means that the multiplicity of 3 is 3, because 3 appears three times as a root of the equation. The general formula used to calculate the multiplicity of a given root is:

Multiplicity of x = Number of times x appears as a root of the equation

In this case, the multiplicity of 3 is 3, because 3 appears as a root of the equation three times. Similarly, if there are two solutions, x = -2 and x = 0, the multiplicity of -2 is 2, because -2 appears as a root of the equation twice.

In summary, multiplicity of 3 is the number of times that the value 3 appears as a root of an equation when the equation is solved. In the example above, the multiplicity of 3 is 3.

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Answer:

decay

Step-by-step explanation:

y=28(0.438)^8

This is in the form

y = a b^x

a is the initial value and b is the rate of growth or decay

since b < 1 the function is decaying

Answer:

a = -3

Step-by-step explanation:

Step 1:  Since we're told that 5 to the power of a = 1/125, we can use the following equation to solve for a:

5^a = 1/125

Step 2:  Take the log of both sides

log(5^a) = log(1/125)

Step 3:  According to the power rule of logs, we can bring a down and multiply it by log(5):

a * log(5) = log (1/125)

Step 4:  Divide both sides by log(5) to solve for a:

(a * log(5) = log(1/125)) / log(5)

a = -3

Optional 5:  We can check our answer by plugging in -3 for a and seeing if we get 1/125 when completing the operation:

5^-3 = 1/125

1/(5^3) = 1/125 (rule of exponents states that a negative exponent creates a fraction with 1 as the numerator and the base (5) and exponent (-3 becoming 3) as the denominator

1/125 = 1/125

hello,

the first term is 250 so this is the initial invested amount

\((1+\dfrac{0.08}{12})^{12}=(1+\dfrac{8\%}{12})^{12}\)

is to compute 8% annual interest compounded monthly (there are 12 months in a year)

and then multiply by 4 means that it is computed for 4 years so

finally the answer is

$250 is invested at 8% annual interest compounded monthly for 4 years

hope this helps

Answer:

The answer is below

Step-by-step explanation:

From the image of the leaning tower of Pisa, we can see that it passes through the point (7.75, 0) and (10.75, 42).

a) The equation of a line in slope intercept form is given by y = mx + b, where m is the slope and b is the intercept. Also, the equation of line passing through

\((x_1,y_1)\ and\ (x_2,y_2)\ is:\\\\y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\)

Hence since it passes through  (7.75, 0) and (10.75, 42), the equation is:

\(y-0=\frac{42-0}{10.75-7.75} (x-7.75)\\\\y=14(x-7.75)\\\\y=14x-108.5\)

b) When the tower is 56 meters tall, i.e. y = 56, we need to find the value of x:

y = 14x - 108.5

56 = 14x - 108.5

56 + 108.5 = 14x

164.5=14x

x = 164.5/14

x = 11.75

When the tower is 56 meters tall, the top of the tower is 11.75 m off center

Answer:

The measure of angle ∠PQS is 28.5°

Step-by-step explanation:

If a ray bisects an angle, then it divides it into two equal angles in measures and the measure of each one is half of the measure of this angle.

In our question

∵ Ray QS bisects ∠PQR  

→ That means it divides it into two angles PQS and SQR

∴ m∠PQS = m∠SQR = \(\frac{1}{2}\) m∠PQR

∵ m∠PQR = 57°

→ Multiply its measure by  \(\frac{1}{2}\) to find the measures its parts

∴ m∠PQS =  \(\frac{1}{2}\) × 57°

∴ m∠PQS = 28.5°

∴ The measure of angle ∠PQS = 28.5°

Answer:

24Г7392 is the correct answer

Step-by-step explanation:

A higher confidence interval means less power which in turns means a smaller rejection religion.So our confidence interval would become wider.

Answer:

-46

Step-by-step explanation:

-9-7-8-15-6-1 equals -46

Aya can make 14 mats of 1 foot long.

Division is one of the fundamental arithmetic operation, which is performed to get equal parts of any number given, or finding how many equal parts can be made. It is represented by the symbol "÷" or sometimes "/"

Given that, Aya has 14\(\frac{2}{5}\) feet of chain. She wants to make pieces foot long mat.

Let can make x mats out of the given chain, since each mat is 1 foot long, so,

1×x =  14\(\frac{2}{5}\)

x = 72/5

x = 14.4

x ≈ 14

Hence, She can make 14 mats out of the given chain.

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Answer: 108

Step-by-step explanation: The equation to find the surface area of a square pyramid is s^2+2*s*l.

The area of the square base is equal to s2

The area of one triangle is equal to (s × l)/2

The slant height of a square pyramid equals (l)

Since there are 4 triangles, the area is 4 × (s × l)/2 equals 2 × s × l

Therefore, the surface area, call it SA is Surface Area (SA)=  s2

 +  2 × s × l

so if you plug in the numbers you get 6^2+2*6*6 which equals 108

Answer:

The Answer is 108 feet squared.

Square Surface Area-

A= LxW

A= 6x6

A= 36

Triangle Surface Area-

A= 1/2 bh

A= 1/2 6x6

A = 1/2×36

A= 18

Since there are 4 Triangle multiple 18×4= 72

so... 72+36= 108

BOOM!! LOL

Simple random sampling is least likely to guarantee that the sample will be representative and unbiased.

Simple random sampling is a technique that is used in research in which each member of the population is given an equal chance of being selected. It's the most straightforward and most basic technique for selecting a random sample. Sampling is a statistical method used to gather and analyze data from a subset of a population to provide estimates, hypotheses, or projections of the whole population. A sample is a subset of a population chosen to represent it since it would be difficult to collect data on the entire population. A sample is thus chosen using sampling techniques, which are statistical approaches for choosing representative samples that guarantee unbiased and precise results.

Biased sampling is a type of sampling method that can lead to misleading or erroneous conclusions. It happens when the sample that has been chosen is not representative of the population it is meant to represent. Biased sampling occurs when the selection method used to obtain the sample is flawed.

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Answer:

3.57

Step-by-step explanation:

P=SP -CP

=290-280=10

P%=\(\frac{P*100}{CP}\)

=\(\frac{10*100}{280}\)

=\(\frac{1000}{280}\)

=3.57