I need this question to be done please I beg u.

It’s very important

I will fail if not done please help me

U must Determine the zeros of each following

we can simply take the whole amount of 30 and divide it by (4 + 1), then distribute to each side accordingly, since they're in a 4 to 1 ratio.

[tex]\underset{\hspace{5em}4~\hfill to~\hfill 1\qquad }{\stackrel{\text{\LARGE 30}}{C\rule[0.35em]{18em}{0.25pt}E\rule[0.35em]{10em}{0.25pt}D}} \\\\\\ \stackrel{CE}{4\left( \frac{30}{4+1} \right)} ~~ : ~~ \stackrel{ED}{1\left( \frac{30}{4+1} \right)}\implies \stackrel{CE}{4\left( 6 \right)} ~~ : ~~ \stackrel{ED}{1\left( 6 \right)}\implies \stackrel{CE}{\text{\LARGE 24}} ~~ : ~~ \stackrel{ED}{\text{\LARGE 6}}[/tex]

The dart player throws a dart horizontally at a speed of 24.75 m/s.

In this question,

The horizontal distance traveled by the dart, x = 2.5 m

The dart hits the board 5 cm below the height from which it was thrown.

⇒ 5 cm = 0.05 m

Let the time taken by the dart to hit the board is t.

The time taken can be calculated using the Newton's second law of motion,

[tex]y = ut+\frac{1}{2}at^{2}[/tex]

Put, u = 0, a = -g and g = 9.8

On substituting the above values, we get

⇒ [tex]-0.05 = 0-\frac{1}{2}(9.8)t^{2}[/tex]

⇒ [tex]0.05(\frac{2}{9.8}) = t^{2}[/tex]

⇒ [tex]t^{2} =0.0102[/tex]

⇒ [tex]t=\sqrt{0.0102}[/tex]

⇒ t = 0.1010 s

Now, the velocity (speed) can be calculated as

displacement = speed × time

⇒ 2.5 = speed × 0.1010

⇒ speed = [tex]\frac{2.5}{0.1010}[/tex]

⇒ speed = 24.7524 m/s

Hence we can conclude that the dart player throws a dart horizontally at a speed of 24.75 m/s.

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Answer:

[tex]\Large\boxed{x=-3}[/tex][tex]\Large\boxed{y=6}[/tex]

Step-by-step explanation:

Given the system of equations

[tex]1)~y=3x+15[/tex]

[tex]2)~3x+3y=9[/tex]

Divide 3 on both sides of the 2) equation

[tex]3x+3y=9[/tex]

[tex]3x\div3+3y\div3=9\div3[/tex]

[tex]x+y=3[/tex]

Current system

[tex]1)~y=3x+15[/tex]

[tex]2)~x+y=3[/tex]

Substitute 1) equation into the 2) equation

[tex]x+(3x+15)=3[/tex]

Combine like terms

[tex]x+3x+15=3[/tex]

[tex]4x+15=3[/tex]

Subtract 15 on both sides

[tex]4x+15-15=3-15[/tex]

[tex]4x=-12[/tex]

Divide 4 on both sides

[tex]4x\div4=-12\div4[/tex]

[tex]\Large\boxed{x=-3}[/tex]

Substitute the x value into one of the equations to find the y value

[tex]y=3x+15[/tex]

[tex]y=3(-3)+15[/tex]

[tex]y=-9+15[/tex]

[tex]\Large\boxed{y=6}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

The simplified expression of (x^0 y^2/3 z^-2y^)^2/3 divided by (x^2 z^1/2)^-6 is x^(12) y^(10/9) z^(-1/3)

The algebraic statement is given as:

(x^0 y^2/3 z^-2y^)^2/3 divided by (x^2 z^1/2)^-6

Rewrite the algebraic statement as:

[(x^0 y^2/3 z^-2y)^2/3]/[(x^2 z^1/2)^-6]

Evaluate the like factors

[(x^0 y^(2/3+1) z^-2)^2/3]/[(x^2 z^1/2)^-6]

Evaluate the sum

[(x^0 y^5/3 z^-2)^2/3]/[(x^2 z^1/2)^-6]

Expand the exponents

[(x^(0*2/3) y^(5/3 * 2/3)z^(-2*2/3)]/[(x^(2*-6) z^(1/2*-6)]

Evaluate the products

[(x^0 y^(10/9) z^(-4/3)]/[(x^(-12) z^(-3)]

Apply the quotient law of indices

x^(0+12) y^(10/9) z^(-4/3+3)

Evaluate the sum of exponents

x^(12) y^(10/9) z^(-1/3)

Hence, the simplified expression of (x^0 y^2/3 z^-2y^)^2/3 divided by (x^2 z^1/2)^-6 is x^(12) y^(10/9) z^(-1/3)

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Step-by-step explanation:

the midpoint is exactly halfway in each coordinate direction.

so, whatever we have to add ti or subtract from the coordinates of T to get to the midpoint, we have to add to or subtract from the midpoint to get to S.

for x we get

0 + 5 = 5

so, we need to add another 5 to get the x coordinate of S.

that is then 5 + 5 = 10

for y we get

2 - 5 = -3

so, we need to subtract another 5 to get the y coordinate of S.

that is then

-3 - 5 = -8

S = (10, -8)

Step-by-step explanation:

TSA of cylinder = 2πr (h + r)

according to the question

height = radius

then,

TSA = 2πr (r + r)

2464=2 × 3.1415×r ×2r

2464/4 ×3.1415 = r×r

196.08 = r^2

r = 14.00

r = 1 4 cm

We know,

volume = 2πr ^2 ×h

=2×3.1415×14×14×14 (h=r)

=17240.552 cm^3

Answer:

8620.5 cm³

Step-by-step explanation:

h = r

SA = 2πrh + 2πr²

Since h = r, we can substitute h with r.

SA = 2πr² + 2πr² = 4πr²

4πr² = 2464 cm²

r = 14 cm

V = πr²h

r = h = 14 cm

V = π(14 cm)²(14 cm)

V = 8620.5 cm³

Step-by-step explanation:

A.

the height, the 17cm leg and half of the baseline (16/2 = 8cm) create a right-angled triangle.

so, Pythagoras applies.

c² = a² + b²

c being the Hypotenuse (side opposite of the 90° angle).

so, we get

17² = height² + 8²

289 = height² + 64

225 = height²

height = sqrt(225) = 15cm

B.

the answer to this is the surface area of the whole box.

it has 5 sides :

bottom : 20×16 rectangle = 320 cm²

left and right : 20×17 rectangles = 340×2 = 680 cm²

front and back : 16×15/2 triangles = 120×2 = 240 cm²

in total that is

320 + 680 + 240 = 1,240 cm² of cardboard

The length of the diameter formed is in the image given is: 10 ft.

The diameter of a circle is the line segment that divides the circle into two equal halves. The diameter divides the circle into semicircles. Also, the diameter of a circle is twice the length of the radius of a circle.

If we know the length of the radius, we can determine the length of the diameter of a circle by multiplying the radius by two. On the other hand, if we know the length of the diameter, to find the length of the radius, divide the diameter by 2.

The image of the circle showing the shelf and the brace line, which is the diameter are shown below.

To find the diameter of the window, add the length of the horizontal shelf and length of the brace. Thus:

Length of the diameter of the window = 8 + 2

Length of the diameter of the window = 10 ft

Thus, the length of the diameter formed is: 10 ft.

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Answer:

10 ft

Step-by-step explanation:

Answer:

The "point-slope" form of the equation of a straight line is:

\begin{gathered}y-y_1=m(x-x_1)\\\\(x_1;\ y_1)\ is\ a\ known\ point\\\\m\ is\ the\ slope\ of\ the\ line\end{gathered}y−y1=m(x−x1)(x1; y1) is a known pointm is the slope of the line

We have:

m=-3;\ (x_1;\ y_1)=(2;-2)m=−3; (x1; y1)=(2;−2)

Substitute

\begin{gathered}y-(-2)=-3(x-2)\\\\y+2=-3(x-2)\end{gathered}y−(−2)=−3(x−2)y+2=−3(x−2)

Answer: B. y + 2 = -3(x - 2

Answer:

Events that mutually exclusive are 1. Landing on a shaded portion and landing on a 3.2. Landing on an unshaded portion and landing on a number less than 2.

Answer: 15 ways

Step-by-step explanation: 5+4+3+2 + 1 = 15

Answer:

15.

Step-by-step explanation:

That would be the number of combinations of 2 from 6.

6C2

= 6! /4!2!

=  6*5/2*1

= 15.

the expression equivalent to 2x + 8 is (x+4) + (x+4)

using the commutative property we can say that

2x +8 = x + x + 8

also 2x + 8 = x + 4 + x + 4

hence 2x + 8 = (x+4) + (x+4)

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Answer:

Its 50

Step-by-step explanation:

60 times 4 it gives you 240.

Now minus all the numbers on the table like this

240 - 55 - 70 - 65 which equals to 50

240 would be the miles

find the following what?

Step-by-step explanation:

a) We can find the iterative rule by first making a table of values.

n -> [tex]a_n[/tex]

1 -> 22

2 -> 28

3 -> 34

We see that [tex]a_n[/tex] increases by 6 each time. Hence, the iterative rule should have the term 6n. However, if we put 1 in for n, we get 6. We want 22-6=16 more than this, or [tex]6n+16[/tex]. This would work for any seat row we give.

b) Our iterative rule to get the number of seats is [tex]6n+16[/tex]. Since we know that this value is 100, we can put both equal to each other.

[tex]6n+16=100\\6n=84\\n=14[/tex]

Thus, the 14th row has 100 seats.

Answer:

(a) S_n = S_1 + 6 (n - 1)

(b) Row 14 has 100 seats

Step-by-step explanation:

(a) The arithmetic sequence would follow the iterative rule,

S_n = S_1 + 6 (n - 1) where S is the number of seats in row n, n is the row number, and S is the number of seats in row 1.

Row 1 = S_1 = 22

       2 = S_2 = 28

       3 = S_3 = 34

       4 = S_4 = 40

       ||      ||    = 46

       ||      ||    = 52

       ||      ||    = 58

       ||      ||    = 64

       ||      ||    = 70

       ||      ||    = 76

       ||      ||    = 82

       ||      ||    = 88

       ||      ||    = 94

Row 14 = S_14 = 100

(b) 100=22+6(n-1) solve for n after setting S_n = 100

100 = 22 + 6_n - 6

84/6 = 6n/6            Row 14 has 100 seats

14 = n

please say thanks!

The probability that knife will hit assistant exactly 3 out of 20 times is  0.001425.

According to the given question.

Number of times a kinfe is thrown = 20

Let p denotes the probability that knife will hits the assistant. And q denotes the probability that knife will not hit the assistant.

so,

p = 1/20

q = 1 - 1/20 = 19/20

Therefore,

The probability that knife will hit assiant exactly 3 out of 20 times

[tex]= ^{20}C_{3} ( \frac{1}{20}) ^{3} (\frac{1}{19} )^{17}[/tex]

= [tex]\frac{20!}{3!17!} (0.05)^{3} (0.0526)^{17}[/tex]

=

Hence, the probability that knife will hit assistant exactly 3 out of 20 times is  0.001425.

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The value of tan(X) in fraction is 7.2/6.4 and in decimal is 1.13

The complete question is added as an attachment

From the question, the given parameters are as follows:

Hypotenuse = XZ

Hypotenuse XZ = 9.6

Leg ZY = 7.2

Leg YX = 6.4

The tangent of X is then calculated as:

tan(X) = ZY/YX

Substitute the known values in the above equation

tan(X) = 7.2/6.4

Evaluate the above quotient

tan(X) = 1.125

Approximate the above result

tan(X) = 1.13

Hence, the value of tan(X) in fraction is 7.2/6.4 and in decimal is 1.13

So, the complete parameters are:

Hypotenuse = XZ

Hypotenuse XZ = 9.6

Leg ZY = 7.2

Leg YX = 6.4

tan(X) = 7.2/6.4

tan(X) = 1.13

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The value to increase is keeping A constant and decreasing the value of B

Fractions are written as a ratio of two integers. For instance a.b is a fraction where a and b are integers.

In the fraction a/b, the numerator is and the denominator is b. If the value of the denominator is decreasing the fraction will increase but if the value of the denominator is increasing the fraction will decrease.

Given the expression A + 2/B, the higher the value of B provided such that that A is constant, the higher the expression. Hence the expression that will cause the value to increase is keeping A constant and decreasing the value of B

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The appropriate test for a comparison a group of 10 dogs and group of 10 cats is called independent sample t-test.

In this question,

The independent samples t test (also called the unpaired samples t test) is the most common form of the T test. It helps you to compare the means of two sets of data.

The Independent samples t test compares the means of two independent groups in order to determine whether there is statistical evidence that the associated population means are significantly different.

The independent sample t-test is a useful statistical method of hypothesis testing when an organization wants to determine whether there is a statistical difference between two categories, groups, or items and, furthermore, if there is a statistical difference, whether that difference is significant.

From the definition, the independent sample t-test is the appropriate test for a comparison a group of 10 dogs and group of 10 cats.

Hence we can conclude that the appropriate test for a comparison a group of 10 dogs and group of 10 cats is called independent sample t-test.

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The heights the balls hit a fence at 350 ft distance are 65 feet, 38 feet and 30 feet, respectively

Juan

Juan's equation is given as:

h = -0.001d^2 + 0.5d + 2.5

h =

Set d to multiples of 50 from 0 to 400.

So, the table of values of Juan's function is:

d (ft)                   h(ft)

0                          2.5

50                        25

100                      42.5

150                        55

200                      62.5

250                        65

300                      62.5

350                        65

400                      42.5

See attachment for the graph of Juan's function

Mark

A quadratic function is represented as:

h = ad^2 + bd + c

Using the values on the table of values, we have:

c = 3 -- the constant value

So, the equation becomes

h = ad^2 + bd + 3

Using the two other values on the table of values, we have:

23 = a(50)^2 + b(50) + 3

38 = a(100)^2 + b(100) + 3

Using a graphing tool, we have:

a = -0.001

b = 0.45

So, Mark's equation is h(d) = -0.001d^2 + 0.45d + 3

See attachment for Mark's graph.

Barry

From the graph, we have the table of values of Barry's function to be:

d (ft)                   h(ft)

0                          2.5

50                        21

100                      35

150                       44

200                      48

250                       46

300                      41

350                       30

400                      14

450                      0

Using a graphing tool, we have the quadratic function to be:

y = -0.001x^2 +0.4x +2.5

From the graphs, equations and tables, the distance travelled by the balls are:

Juan = 505 feet

Mark = 457 feet

Barry = 450 feet

This means that Juan's ball would travel the greatest distance while Barry's ball would travel the shortest.

To do this, we set d = 350

From the graphs, equations and tables, the height at 350 ft by the balls are:

Juan = 65 feet

Mark = 38 feet

Barry = 30 feet

The above represents the height the balls hit the fence

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Answer:

Step-by-step explanation:

If 12 men are needed to run 4 machines. How many men are needed to run 20

we can solve with an equation

12 : 4 = x : 20

x = 12 * 20 : 4

x = 240 : 4

x = 60

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

check

12 : 4 = 60 : 20

3 = 3

the answer is good

Answer:

Dimensions will be 4 * 2 cm.

Step-by-step explanation:

l = length of rectangle and w = width

Perimeter = 2l + 2w = 12

l + w = 6.

---> l = 6 - w

Volume of the cylinder

V = πr^2l

w = 2πr

--> r = w/2π

l = 6 -  w so

V = π(w/2π)^ 2 * (6 - w)

---> V =  w^2/4π (6- w)

---> V = 3w^2/ 2π - w^3/4π

Differentiating:

dV/ dw =  6w/ 2π - 3w^2 / 4π

             =   - 3(w - 4)w / 4π

This equals 0 for maximum volume

- 3(w - 4)w / 4π = 0

w = 0 or w = 4

The answer is 48π units³ or 150.72 units³.

To find the volume of the cone, use the formula : 1/3 × πr²h

We are given that r = 6 and h = 4.

Solving :

Answer:

Step-by-step explanation:

rate of change = change in y/ change in x

The rate of change is 0 if the change in y = 0

                        0 = 0 / change in x

The graph is a horizontal line since the y values do not change.

Step-by-step explanation:

Because the two sides have been shown to be equivalent, the equation is an identity.

Answer:

1.78 feet.

Step-by-step explanation:

If they cost $20 each and its $2 per square foot, the area of the spheres

is 20 / 2 = 10 ft^2.

Area of sphere = 4 π r^2 = 10   (where r = the radius)

---> r^2 = 10 / 4π

            =   0.796

---> r = 0.892 ft

So the diameter = 2 * r  

                           =  1.78 feet to nearest hundredth.    

1  1 / 6  litres of water is needed to watering the entire garden at the given rate.

We need to find how many litres of water is needed to watering the entire garden at this rate.

Let the total garden be x  parts then,

Therefore,

2 / 7 x  = 1 / 3

cross multiply

2x × 3 = 7

6x = 7

divide both sides by 6

6x / 6 = 7 / 6

x = 1 1 / 6

Therefore, Thus,  1 1 / 6  litres of water is needed to watering the entire garden at the given rate.

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f(x) = 2x² + 7x + 6 and g(x) = 2^x + 5 have -

The equation of the functions are given as:

f(x) = 2x² + 7x + 6  &

g(x) = 2^x + 5

Next, we plot the graph of both functions (see attachment)

From the graph, we have the following highlights

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Answer: [tex]\frac{2a+6}{8a}[/tex]

Step-by-step explanation:

[tex]\frac{2(a+3)}{8a}=\frac{2a+6}{8a}[/tex]

Answer:

60

Step-by-step explanation:

Since this angle is unknown, let's just represent it with the variable "x". So the supplement angle of "x" is essentially, the value of the angle that we need to add to "x" to get 180. In other words let's just say that the supplement angle is "y". This means that: [tex]x+y=180[/tex]. If we subtract x from both sides we can represent "y" or the supplement angle as: [tex](180-x)[/tex].

Since it's 660 less than 6 times it's own supplement let's first multiply the supplement by 6

[tex]6(180-x) = 1,080-6x[/tex]

Now let's subtract 660 from it, since it's 660 less

[tex](1,080 - 6x) - (660) = 420 - 6x[/tex]

This value should be equal to the angle, which is represented as "x". So let's set it equal to x

[tex]420-6x=x[/tex]

Add 6x to both sides

[tex]420=7x[/tex]

Divide both sides by 7

[tex]60 = x[/tex]