Josh’s walking stick is 4.875 feet long what is the same length written as a mixed number

Answer:

a-25

b-243

5^3 = 125/3 = 25

3^6 = 729/3 = 243

Answer:

1000 tiles

Step-by-step explanation:

Determine total floor space
800 x 10 = 8000 squared cm total floor space.
Divide floor space by size of tile
8000 / 8 = 1000 tiles now required to cover the floor.

The linear program shows that there are different attainable arrangements that accomplish the same ideal objective function value..

Based on the given data, since the objective function values at the five corner points are diverse, able to conclude that there's no one-of-a-kind ideal arrangement for this linear program.

The reality that there are numerous distinctive objective function values at the corner points suggests that there are numerous ideal arrangements or that the objective work isn't maximized or minimized at any of the corner points.

In this case, the linear program may have numerous ideal arrangements, showing that there are different attainable arrangements that accomplish the same ideal objective function value.

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Answer:

195.205998 years

Step-by-step explanation:

P=P0(1.046)^t   P=future population   P0=initial population  t=years passed

38,000,000,000 = 5,849,000(1.046)^t

1.046^t = 38,000,000,000/5,849,000

1.046^t = 38,000,000/5,849

plug in log on both sides

log 1.046^t = log (38,000,000/5,849)

t[log 1.046] = log (38,000,000/5,849)

t = In (38,000,000/5,849)/ In 1.046

t ≈ 195.205998 (hope this helps)

Answer:

Step-by-step explanation:

B) the stone hits the water within the first 2 seconds. Because the stone drops at the speed of 88 feet/second, and 88 x 2 is 176. but the bridge is only 135 feet tall.

so,

88 feet/second

176 feet/2 seconds

135 feet means that it reached the river within 2 seconds. it reached the river in 1.545 seconds

a) The formula that models the height of the stone after t seconds is: s(t) = 135 + 88t + 16.1t²

b) No, the stone does not hit the water within the first 2 seconds.

(a) The formula for the height of an object thrown downward with an initial velocity and under the influence of gravity is expressed as:

s(t) = s₀ + v₀t + ¹/₂gt²

where:

s(t) is the height of the stone at time t,

s₀ is the initial height

v₀ is the initial velocity

g is the acceleration due to gravity

We are given:

s₀ = 135 ft

v₀ = 88 ft/s

g = 32.2 ft/s²

Thus:

s(t) = 135 + (88)t + ¹/₂(32.2)t²

s(t) = 135 + 88t + 16.1t²

(b) To check if the stone hits the water within the first 2 seconds, we need to find s(2) and determine if it is less than or equal to 0 (water level).

s(2) = 135 + 88(2) + 16.1(2)^2

s(2) = 135 + 176 + 64.4

s(2) = 375.4 ft

Since the height at t = 2 seconds is 375.4 feet, and this height is above the water level (which is 0 feet), the stone does not hit the water within the first 2 seconds.

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Answer:

No

Step-by-step explanation:

I don't think it is proportional

Here it is not proportional.

What is proportional?

Proportional relationships are relationships between two variables where their ratios are equivalent.

Another way to think about them is that, in a proportional relationship, one variable is always a constant value time the other.

Here given that,

\(y=-\frac{5}{9x}\)

Here it is not proportional.

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The missing reasons used in solving the given inequality are;

Reason 2; Subtraction property

Reason 3; Subtraction property of order

Reason 5; Division property of order.

There are different properties of algebra such as distributive property, commutative property, associative property, addition property, division property e.t.c

We are given the inequality as;

−2(x + 3) − 4 > 4x + 30

Step 1;

-2x - 6 - 4 > 4x + 30

Reason 1; Distributive property

Step 2; -2x - 10 > 4x + 30

Reason 2; Subtraction property

Step 3; -6x - 10 > 30

Reason 3; Subtraction property of order

Step 4; 6x > 40

Reason 4; Addition property of order

Step 5; x < -20/3

Reason 5; Division property of order.

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Answer:

-24

hope this helped! :3

Step-by-step explanation:

3 x -4 = -12

-12 x 2 = -24

Answer:

3× -4 = -12

-12 × 2=-24

Step-by-step explanation:

follow your sign discriptively take notice in change of ur sign.

+× - = -

- × - = +

+ × + = +

- × + = -

Answer:

B. x is less than or equal to 5

Step-by-step explanation:

The dot is on 5 and is also a solid dot which means it is less than or equal to or greater than or equal to

In this case it is less than or equal to because the line goes to the left

Hope this helped!

Answer:

$50

Step-by-step explanation:

Create a proportion where x is the cost of 8 books:

\(\frac{3}{18.75}\) = \(\frac{8}{x}\)

Cross multiply and solve for x:

3x = 150

x = 50

So, 8 books would cost $50

Answer: $50

Step-by-step explanation:

$18.75 divided by 3 = $6.25

$6.25 times 8 = $50

Hope this helps!!

Answer:

3,215.36 cubic meters

Step-by-step explanation:

Volume of Cylinder:pi×radius squared×height

3.14×8×8×16=3,215.36

I hope this helps:)

The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

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Answer:

-16

Step-by-step explanation:

fog(x)=f(gx)

= -5×4+4

= -20+4

= -16

The comparisons that are true are 11. -5 < 0 12. 9 > -8 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51  19. 17 < 23  20. 18 > -36 and that is not true are 13. -7 = -7 (not true) 18. -32 > 4 (not true)

To make each statement true, write < or >. We need to compare two values for each statement to determine whether it is true or false.

To indicate that the first value is less than the second value, write <.

Alternatively, to indicate that the first value is greater than the second value, write >.

Below are the comparisons: 11. -5 < 0 12. 9 > -8 13. -7 > -7 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 18. -32 > 4 19. 17 > 23 20. 18 > -36

To determine the direction of inequality, we need to compare the values.

We used inequality signs such as > (greater than) or < (less than) to indicate which value is larger or smaller than the other.

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The correct question would be as

Write > or < to make each statement true.

11. -5 0

12. 9 -8

13. -7 7

14. 55 -75

15. -32 -24

16. 89 73

17. -58 -51

18. -32 4

19. 17 23

20. 18 -36​

The sample size is maximized with the value of p vs the value of p-hat. Thus the correct option is C.

In the given question, when choosing a sample size for a population proportion a practitioner is considering either setting p = 0.5, or, using a preliminary estimate of p-hat=0.7.

We have to check which statement is true:

The formula to compute the sample size for population proportion is given below:

n = \(\frac{z^{2}_{\alpha/2}\times p\times(1-p)}{E^2}\)

where p is the estimated proportion. If prior estimates of proportion is not available, then p is taken as 0.5.

keeping the confidence level and margin of error constant, let \(\frac{z^{2}_{\alpha/2}}{E^2}\) = C

Suppose p=0.5

n = C × 0.5 × (1-0.5)

n = 0.25C

Suppose p-hat = 0.7

n = C × 0.7 × (1-0.7)

n = 0.21C

For any other estimate of p the sample size n will be the smaller as compared to p=0.5.

Therefore the sample size is maximized with the value of p vs the value of p-hat. Thus the correct option is C.

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The values of x, y , and z in the matrix equation is 3, 4, 0 respectively.

The solution of the matrix equation is calculated by applying Cramer's rule as shown below;

[ 1     1     -1 ]  [ 7 ]

[ 2    3     0 ] [ 18 ]

[ -5   -7    -1 ] [ -43 ]

The determinant of the matrix is calculated as follows;

[ 1     1     -1 ]  

[ 2    3     0 ]

[ -5   -7    -1 ]

Δ = 1 (-3 - 0) - 1(-2 - 0 )  - 1(-14 + 15)

Δ = -2

The x determinant of the matrix is calculated as follows;

[ 7     1     -1 ]  

[ 18    3     0 ]

[ -43   -7    -1 ]

Δx = 7 (-3 - 0) - 1 (-18 - 0 )  - 1(-126 + 129)

Δx = -6

The y determinant of the matrix is calculated as follows;

[ 1     7     -1 ]  

[ 2    18     0 ]

[ -5   -43   -1 ]

Δy = 1 (-18 - 0 )   - 7(-2 - 0 )  -1(-86 + 90)

Δy = -8

The z determinant of the matrix is calculated as follows;

[ 1     1     7 ]  

[ 2    3    18 ]

[ -5   -7   -43]

Δz = 1 (-129 + 126) - 1(-86 + 90) + 7(-14 + 15)

Δz = 0

The values of x, y , and z is calculated as;

x = Δx/Δ = -6/-2 = 3

y = Δy/Δ = -8/-2 = 4

z = Δz/Δ = 0/-2 = 0

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Answer:

All pairs are congruent, ANSWER CHOICE E

Step-by-step explanation:

Congruent shapes are exactly equal in shape and size. As you can see, The pairs are congruent, just flipped or rotated.

Answer:

your answer is going to be 94

Step-by-step explanation:

1×5=5

5+89=94

Answer: 1*5+89 = 94

               The answer is 94

Answer:

There is a 1/250 chance that his ticket will be chosen

There is a 249/250 chance that his ticket will not be chosen

Step-by-step explanation:

Hope that helps!

Answer:

B

Step-by-step explanation:

Reflections are mirror images over what they are being reflected off.

Think of your own reflection in the mirror. It's not exact, like pictures is it? You could also think of it as folding a piece of paper that has wet paint on it in half. The painted image transfers to the other side of the paper, but it's not exactly the same as the original.

I don't know how exactly to explain it, but that is how I think of it.

Based on the information, there are 25 cars with good brakes and good tires.

Total cars = 50

Cars with faulty brakes = 10

Cars with faulty tires = 15

Cars with faulty brakes and good tires = 2

Let's calculate the number of cars with good brakes and good tires:

Cars with faulty brakes or faulty tires = Cars with faulty brakes + Cars with faulty tires - Cars with faulty brakes and good tires

= 10 + 15 - 2

= 25

Cars with good brakes and good tires = Total cars - Cars with faulty brakes or faulty tires

= 50 - 25

= 25

Therefore, there are 25 cars with good brakes and good tires.

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Answer:

  x = 1

Step-by-step explanation:

You want to know the value of x in the trapezoid with adjacent angles (43x+2)° and 135°.

The two marked angles can be considered "consecutive interior angles" where a transversal crosses parallel lines. As such, they are supplementary.

  (43x +2)° +135° = 180°

  43x = 43 . . . . . . . . . . . . . . divide by °, subtract 137

  x = 1 . . . . . . . . . . . . . . . divide by 43

The value of x is 1.

__

Additional comment

Given that the figure is a trapezoid, we have to assume that the top and bottom horizontal lines are the parallel bases.

<95141404393>

Step-by-step explanation:

9 1/5=46/5 ; 7 1/2=15/2

common denominator is 10

46/5-15/2=( 92-75)/10= 17/10= 1 7/10 feet= 1.7 feet

The number 2/5 is both a ratio and a fraction.

The number 2/5 is both a ratio and a fraction. Fractions are meant to signify the numerator and denominator in an expression. in the above expression, we have the denominator as 5 and the numerator as 2.

The expression is also a ratio because it indicates the quantitative relationship between the figures.

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Answer:

\(\huge\boxed{a=9 ; b = -8}\)

Step-by-step explanation:

\(f(x) = \frac{ax+b}{x}\)

Putting x = 1

=> \(f(1) = \frac{a(1)+b}{1}\)

Given that f(1) = 1

=> \(1 = a + b\)

=> \(a+b = 1\)  -------------------(1)

Now,

Putting x = 2

=> \(f(2) = \frac{a(2)+b}{2}\)

Given that f(2) = 5

=> \(5 = \frac{2a+b}{2}\)

=> \(2a+b = 5*2\)

=> \(2a+b = 10\)  ----------------(2)

Subtracting (2) from (1)

\(a+b-(2a+b) = 1-10\\a+b-2a-b = -9\\a-2a = -9\\-a = -9\\a = 9\)

For b , Put a = 9 in equation (1)

\(9+b = 1\\Subtracting \ both \ sides \ by \ 9\\b = 1-9\\b = -8\)

The simplified form of the rational expression \((7x)/(14x^6)\) is \(1/(2x^6).\)

To simplify the rational expression \((7x)/(14x^6)\), we can begin by simplifying the numerator and denominator separately.

In the numerator, 7x, we can see that both 7 and x have a common factor of 7. So, we can rewrite the numerator as 7 × x = 7x.

In the denominator, \(14x^6\), we can see that both 14 and x^6 have a common factor of \(2x^6\).

So, we can rewrite the denominator as

\(14 \times x^6 = 2 \times 7 \times x^6 = 2 \times 7x^6.\)

Now, we can simplify the rational expression by canceling out the common factors in the numerator and denominator:

\((7x)/(14x^6) = (7x)/(2 \times 7x^6) \\= (7x)/(2 \times 7 \times x^6) \\= (cross(7x))/(2 \times cross(7) \times x^6) \\= 1/(2x^6)\)

Therefore, the simplified form of the rational expression\((7x)/(14x^6)\) is \(1/(2x^6).\)

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Answer: 40 dollars

Step-by-step explanation:

i hope the explanation is right:)

If he invites 5 friends for 40 bucks each then one friend that he knows will go is 40 dollars. So the only thing you have to do for this problem is multiply 40 by the number of friends which in this case i believe is 1.

The distance from the vertex to the focus is p.

In this case, p = 1. This parabola is centered at the origin also known as the point (0,0). In other words, (h, k) = (0, 0).

The general equation for a parabola is

(x - h)^2 = 4p(y - k).

P = 1

h = 0

k = 0

We now plug and chug.

(x - 0)^2 = 4(1)(y - 0)

x^2 = 4y

Done.

P. S. I decided to include a picture of the graph of this parabola.

Answer:

10,000

Step-by-step explanation:

because 10 times 10 is 100 times 100 equals the answer

sry if i get it wrong  have a great day

Answer:

10 to the fourth power 10^4

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Its shows -6

Answer:

A

Step-by-step explanation:

The answer is -6 degrees Celsius