K
A ball is thrown vertically upward from the top of a building 32 feet tall with an initial velocity of 16 feet per second. The distances (in feet) of the ball from the ground after 1 seconds
iss-32+16t-16t^2
(a) After how many seconds does the ball strike the ground?
(b) After how many seconds will the ball pass the top of the building on its way down?
(a) After how many seconds does the ball strike the ground?

Answer: The sum of the numbers from 1 to 400 that are divisible by 11 is equal to $11 \cdot 666 = 7326$.

Step-by-step explanation:

To find the sum of all the natural numbers from 1 to 400 that are not divisible by 11, we can first find the sum of all the natural numbers from 1 to 400, and then subtract the sum of all the natural numbers from 1 to 400 that are divisible by 11.

The sum of the natural numbers from 1 to 400 is equal to $\frac{400 \cdot 401}{2} = 80150$.

There are 400/11 = 36 numbers that are divisible by 11 between 1 and 400, inclusive. The sum of these numbers is equal to $11 + 22 + 33 + \dots + 396 = 11(1 + 2 + 3 + \dots + 36)$. The sum of the first 36 natural numbers is equal to $\frac{36 \cdot 37}{2} = 666$. Therefore, the sum of the numbers from 1 to 400 that are divisible by 11 is equal to $11 \cdot 666 = 7326$.

Subtracting the sum of the numbers that are divisible by 11 from the sum of all the numbers from 1 to 400 gives us a final answer of $80150 - 7326 = 72824$. This is not equal to 35840, as stated in the problem.

Answer:

--------------------------------

Use the sum of the first n terms formula for an AP:

The sum of all natural numbers from 1 to 400:

The greatest natural number less than 400 but divisible by 11:

Sum of the numbers divisible by 11:

Sum of the numbers not divisible by 11:

Answer:

Step-by-step explanation:

$4.50 + $4.50(0.15) = $5.18

$2.25 + $2.25(0.15) = $2.59

$3.00 + $3.00(0.15) = $3.45

The given parametric equation represents the graph mentioned in Option A.

A parametric equation is defined as a kind of equation that inherit an independent variable called a parameter, and where dependent variables are defined as continuous functions of the parameter.

here,
For equation, x = t cos (t), y = t, z = t sin(t), t ≥ 0.
Since,

x² + y² = t²cos²(t) + t² sin²t
x² + y² = t²
x² + y² = z²

Here, the x-z cross-section of the curve is a circle. But as t accumulates, the radius of the circle also advances in the y direction, and those circular cross-sections extend as the value of the parameter t increase.
The curve will draft as circles in x-z planes while moving towards y direction and also the radius of those circular cross sections increases at the same rate as its advancement towards y direction.

Thus, the given parametric equation represents the graph mentioned in Option A.

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Answer:

Theres nothing to solve for wheres the numbers?

Step-by-step explanation:

Answer:

Make sure to keep track of the signs of the variables. If you add or subtract a variable on one side of the equation, you must do the same to the other side.

Don't forget to distribute if you have a variable inside parentheses. For example, if you have 3x + 2(x + 4) = 7, you would need to distribute the 2 to get 3x + 2x + 8 = 7.

When solving for a variable, make sure to perform the same operation on both sides of the equation to isolate the variable. For example, if you want to solve for x in the equation 3x + 2 = 7, you would need to subtract 2 from both sides to get 3x = 5.

Answer:

0.27 is the answer

I wish you luck in your assignments.

Answer:

Step-by-step explanation:

0.27

It will take 9 seconds a pendulum that is 9 meters long to swing back and forth.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

WE are Given the expression of length L in feet of a pendulum to the time t in seconds that it takes to swing back and forth modeled as;

T = 2√L

Given

Length of the pendulum = 9 meters

Required Time (period)

Substitute the given value into the formula

T =  2√L

T =  2√9

T = 2  x 3

T = 6 seconds

Hence the period is 6 seconds

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The solution of the system of equations:

y = 3x - 4

y = (-1/2)*x + 3

Is (2, 2).

Here we have the following system of equations:

y = 3x - 4

y = (-1/2)*x + 3

To solve this graphically, we just need to graph both equations on the same coordinate axis, and find a point where these two graphs intercept.

Below you can see the graph of the system, and there you can see that the lines intercept at the point (2, 2), so that is the solution of the system.

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Answer:

Step-by-step explanation:

a.we should Make their denominators the same.

16[tex]x^{8}[/tex]÷4x=4[tex]x^{7}[/tex]

b.molecule multiply 4[tex]x^{7}[/tex], 5·4[tex]x^{7}[/tex]=20[tex]x^{7}[/tex]

c.finally, we get it

the answer is 20[tex]x^{7}[/tex]

Answer:

which one is correct about HRM?

The cost of the order can be expressed as 7x + 5, where x is the number of t-shirts ordered.

In this expression, "7x" represents the cost of the t-shirts, where each shirt is $7 and the number of shirts is represented by "x". The "$5" represents the flat shipping fee for the entire order, which does not change regardless of the number of shirts being ordered.

By adding the cost of the shirts and the shipping fee, we can find the total cost of the order. It's important to understand that the value of "x" must be specified to evaluate the expression.

For example, if 3 shirts are ordered, then x = 3 and the expression becomes:

So the total cost of the order would be $26.

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We calculated length of model bird in the picture = 2 ¹⁵₁₆ inch and scale factor =1/2

It is expressed as the ratio of the dimension of a model object and dimension of an actual object.

A scale factor is a number which is multiplied by an object in order to form a proportional enlarged or reduced object.

Given, the length of an actual bird = 5⁷₈ inch = 47/8 inch

also given, 1 inch = 0.5 inch

   1 inch = 1/2 inch

we need to determine the length of model bird by multiplying the above factor.

now, length of model bird = 47/8 × 0.5 inch = 47/16 inch = 2¹⁵₁₆ inch

scale factor = length of model bird/ length of actual bird = 47/16 /47/8

scale factor = 1/2

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The linear equation y = 15x +100. And the graph and table are given in the attached image.

Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.

Given:

Laura gets a job at Costco to make extra money during the holidays and will get paid $15 an hour.

She also gets a $100 bonus for agreeing to start right away.

Let x be an hour, she worked.

And y be the total earnings.

So, the equation,

y = 15x + 100

The table is given in the attached image.

And the graph is also given.

Therefore, the equation is y = 15x + 100

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The value of c obtained from the linear inequality (3/5)·c + 7 ≤ 2/5 is the option;

c ≤ -11

An inequality is a (non equal) comparison between two expressions that have different values.

The specified inequality can be expressed as follows;

[tex]\dfrac{3}{5} \times c + 7 \leq \dfrac{2}{5}[/tex]

Simplifying the above inequality by subtracting  7 from both sides, we get;

[tex]\dfrac{3}{5} \times c + 7 - 7 \leq \dfrac{2}{5} - 7[/tex]

Evaluating and simplifying the right hand side into a fraction, we get;

[tex]\dfrac{3}{5} \times c + 0 \leq \dfrac{2}{5} - 7 = \dfrac{2 - 35}{5} = \dfrac{-33}{5}[/tex]

[tex]\dfrac{3}{5} \times c \leq \dfrac{-33}{5}[/tex]

Multiplying both sides by 5, we get;

[tex]5\times \dfrac{3}{5} \times c \leq 5 \times \dfrac{-33}{5}[/tex]

[tex]\dfrac{5}{5} = 1[/tex], therefore;

3·c ≤ -33

Dividing both sides of the above inequality by 3, we get;

3·c ÷ 3 ≤ -33 ÷ 3

c ≤ -11

The correct option is; c ≤ -11

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Answer:

144

Step-by-step explanation:

9+2+4+6+123=

11+10+123
21+123
144

Answer:

2/15 6/15 8/15 9/15 12/15

Step-by-step explanation:

Answer: 2/15, 6/15, 8/15, 9/15, 12/15.

Step-by-step explanation:

Just treat the denominators like they are not there for now, and treat the numerators like they are whole numbers and then rearrange:

8, 2, 9, 6, 12

Now rearrange from smallest to largest:

2, 6, 8, 9, 12

Now just put the denominators back in under the arranged numbers:

2/15, 6/15, 8/15, 9/15, 12/15

Words and their definitions:

Numerator: Top part of the fraction

Denominator: Bottom part of the fraction

One possible set of perimeters for the two figures is 4x and 16x.

Dilation is one of the type of transformation where the size of the object is made smaller or larger without affecting the shape.

Let A be the area of the original figure.

New area after dilation = 16A

Suppose that the figure is a square.

Area of a square is the square of it's side length and perimeter is four times the length of one side.

Let 'x' be the length of a side of the original figure.

Area of the original figure, A = x²

Perimeter of original figure = 4x

New area = 16 A = 16 x² = (4x)²

So the side length of new figure = 4x

Perimeter of new figure = 4 (4x) = 16x

Hence one of the possible set of perimeters for the two figures given is 4x and 16x.

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Using a subtraction operation, the overall temperature change over those five days that Joe tracked the temperature in his town was a decrease of 3°C.

The temperature change can be computed by determining the differences in temperature from one day to the next and summing the differences.

The temperature change can also be computed by finding the difference between the ending period's temperature and the beginning period's temperature.

Days         Temperature     Change

Monday          23°C                  0

Tuesday          14°C (23 - 9)    -9

Wednesday    21°C (14 + 7)    +7

Thursday       25°C (21 + 4)    +4

Friday            20°C (25 - 5)    -5

Overall change =                  -3°C

= 20°C - 23°C = -3°C

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Lowest price of an iPhone in Paris is €800 because they stated that one euro is equal to one dollar; when multiplied, the result is 944; this indicates that the iPhone is priced lower in Paris.

It is possible to compare the conversion rates of sterling into the euro and the dollar using the same amount of pounds.

Sterling to Euro : [tex]$750 \times 1.14=6855$[/tex]

Pounds to dollars : [tex]$750 \times 1.39=\$ 1042.5$[/tex]

One phone may be purchased with one pound. The dollar is insufficient to purchase a cell phone, but the euro has enough money to do so. Paris has the lowest pricing for the iPhone from this perspective.

The iPhone SE (2020), which costs Rs 40,000, costs more over a lakh rupees according to the most recent Apple price list for India. Everywhere in the globe, the USA market offers the cheapest prices for iPhones.

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a) Probability of student passed in English and Accounting [tex]= \frac{21}{50}[/tex]

b)  Probability of  Number of Student passed Accounting [tex]=\frac{3}{5}[/tex]

c)  Given that student passed Accounting. Probability that they passed English = [tex]\frac{9}{125}[/tex]

The ratio of favorable outcomes to all possible outcomes of an event is known as the probability.

Here let us assume the Total Number of students is 100.

Students who passes in English = 60% of total number of students  

                                                   =  [tex]60*100/100=60[/tex]

Students who passes in English = 60.

Out of 60 students , 70% of 60 pass in Accounting = [tex]70/100*60=42[/tex]

So Student who passed in both English and Accounting = 42.

Also Number of student that do not passed in English = 100 - 60 = 40.

Out of these 40 students , 45% passes in Accounting = [tex]45/100*40=18[/tex]

So Number of student pass in Accounting but not in English = 18.

Total Number of student pass in Accounting = 42 + 18 = 60.

A) Number of student passed in English and Accounting = 42

   Total Number of student = 100

   Probability of student passed in English and Accounting= [tex]\frac{42}{100} = \frac{21}{50}[/tex]

B) Total Number of Student passed Accounting = 60

    Total Number of student = 100

    Probability of  Number of Student passed Accounting = [tex]\frac{60}{100} = \frac{3}{5}[/tex]

C) Probability that student passed Accounting = 60/100.

    Probability that student passed English = 60/100.

Given that student passed Accounting. Probability that they passed

 English = [tex]\frac{60}{100} * \frac{60}{100} = \frac{3600}{10000} = \frac{9}{125}[/tex]

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When convert it into rectangular form we get x=-1/2 and y=0.

To convert a point in polar coordinates (r, θ) to rectangular coordinates (x, y), you can use the following formulas:

[tex]x = r * cos(θ) \\y = r * sin(θ)[/tex]

Where r is the distance from the origin to the point, and θ is the angle in radians between the positive x-axis and the line connecting the point to the origin.

Alternatively, you can also convert from rectangular to polar coordinates using the following formulas:

[tex]r = sqrt(x^2 + y^2)\\θ = atan2(y, x)[/tex]

Where x, y are the rectangular coordinates and atan2 is a function that computes the angle of a point in a cartesian plane.

In general, it's worth noting that the polar coordinates are often used in some physics and engineering problems, while the rectangular coordinates are often used in computer graphics, analytic geometry and other fields.

The angle of 1's inverse tangent is 45°. This is the outcome of translating to polar coordinates in the form (r,theta).

To convert it into rectangle equation we have

[tex]x=rcos(theta)\\y=rsin(theta)\\r=1\\theta= 3*pi/2\\x= cos(3*pi/2)\\x= -1/2\\y=sin(3*pi/2)\\y=0[/tex]

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The maximum allowable pipe diameter is given as : 0.501. Option B

From the question the interior diameter of the pipe is said to be 0.49

The pipe is said to have the thickness of 0.005 inches.

The exterior diameter of the pipe would be solved as 0.49 + 2 * 0.005

= 0.49 + 0.01

= 0.5

The questions said the variance in the diameter of this pipe is 0.001

Then the maximum allowable pipe diameter would be solved as: 0.001 + 0.5 = 0.501

The diameter of the pipe that is allowable is 0.501

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Answer:

incorrect

Step-by-step explanation:

y= 1/3x+2 because the slope(m) going up by 1 takes up 3 spaces going out and u it in rise/run form rise being up and run being out and the y intercept(b) is where the y axis and the slope meet (basically it starts at the 2)

The component vectors to a linear combination is given by the equation

A = 20 i^ + 14 j^ - 23 k^

The dot product, or inner product, of two vectors, is the sum of the products of corresponding components. Equivalently, it is the product of their magnitudes, times the cosine of the angle between them . The dot product , also known as the inner product, of u and v to be the number u ⋅ v given by

u ⋅ v = u₁v₁ + u₂v₂ + u₃v₃

An equivalent definition, typically used in physics, is

u ⋅ v = ∣u∣ ∣v∣ cos θ,

where θ is the angle between u and v

Two nonzero vectors are perpendicular, or orthogonal, if and only if their dot product is equal to zero

Given data ,

Let the component vectors be represented as A

The value of A is

< 20 , 14 , -23 >   be equation (1)

On simplifying the equation to the linear combination , we get

< 20 , 14 , -23 > = 20 i^ + 14 j^ - 23 k^

So , the linear combination of the vectors is given by the equation ,

A = 20 i^ + 14 j^ - 23 k^

Hence , the equation is 20 i^ + 14 j^ - 23 k^

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Step-by-step explanation:

first of all, if he continuously earns only $160 per month (or at least in that dimension), then he will not have to pay any income tax.

but to do the exercise :

100% = $160

1% = 100%/100 = 160/100 = $1.60

10% = 1% × 10 = 1.6 × 10 = $16

he earns after tax

160 - 16 = $144

FYI :

when we combine all the calculations above into one sequence, then we know

100% - 10% = 90%

and 90% of 100% is 100% × 0.9

and so he earns after tax

160 × 0.9 = $144

Tracy gets $1299.375 interest after 8 years and 3 months for an investment of  $3,500 at a 4.5% annual interest rate.

What is Simple Interest?

Simple interest is calculated based on a loan's principal or the initial deposit into a savings account. Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued.

The formula for calculating Simple Interest is -

S.I. = (P×R×T)/100

where, P = initial principal balance, R = annual interest rate and T = time (in years)

So, the principal rate, P = $3,500, the interest value, R = 4.5%, and the Time is T= 8.25 years.

Applying the formula for Simple Interest -

S.I. = (P×R×T)/100

S.I. = (3500×4.5×8.25)/100

S.I. = 1299.375

Therefore, the interest amount obtained is $1299.375.

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Therefore , the solution of the given problem of area comes out to be

r = 8.

The term "area" describes the amount of space occupied by a 2D form or surface. We use cm2 or m2 as our units for measuring area. A shape's area is determined by dividing its length by its breadth.

Here,

A 90 degree sector occupies 1/4 of a circle, which has 360 degrees. Consequently, the area of the whole circle can be written as

Sector Size/Sector Area = Circle Area/360

16 ft2/90 = n/360

(360) (16 ft2)/90 = n

(4)(16 ft2) = n

The total size of the circle is n = 64 ft2.

Since Area of a Circle equals r2,

∏r2 = 64

r2 = 64/∏

r = √(64/∏)

We multiply by / to get by rationalizing the denominator.

r = √(64∏)/√(∏2) Then using the denominator's square root, we can obtain the solution of

r = √(64∏)/∏

r = 8

Therefore , the solution of the given problem of area comes out to be

r = 8.

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The building in the drawing is 700 centimeters or 7 meters.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

An ordered pair of integers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you might express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls.

Given 3 meters on real is equal to 7 centimeters on drawing

i.e. 3 meters=7 centimeters

or, 1 meter = 7/3 centimeters

We need to find reading for 300 meters so,

or, 300 meters=7/3*300 centimeters

                        =700 centimeters or 7  meters

Therefore the building in the drawing is 700 centimeters or 7 meters.

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Answer:A two-way table, also known as a contingency table, is a way to organize and present categorical data in a tabular format. It can be used to show the relationship between two categorical variables, such as whether a student lives with a grandparent and the number of people who live in their home.

Based on the information you provided, the two-way table would look like this:

More than 4 people | 6 | 10

4 or fewer people | 4 | 30

It should be noted that the information you provided does not add up to 50 students.

Total for students living with grandparents: 10,

Total for students with more than 4 people: 6+10 =16.

Let me know if this table is incorrect and I'll provide you with more information

Step-by-step explanation: