Randy hung a total of 900 feet of Christmas lights on the exterior of his house this past holiday season. If 1 foot equals 30.48 centimeters, how many centimeters of Christmas lights did Randy hang?

Answer:

150-50/6-2

100/4

25

Step-by-step explanation:

25 soda bottles the machine can make per minute.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

We have to use the two points (2, 50) (6, 150) shown to find the number of soda bottles the machine can make per minute.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

x₁=2, y₁=50, x₂=6, y₂=150

substitute in slope formula

Number of soda bottles=slope=150-50/6-2

=100/4

=25

Hence 25 soda bottles the machine can make per minute.

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Answer: 60 oranges left

Step-by-step explanation:

100-20=80

80-20=60

your welcome:)

Answer:

x=4

Step-by-step explanation:

the ones on top of each other you are adding together so -10x + -2x equals -12x and -32+-16 equals -48 and -48 divided by -12x equals positive 4

Answer:

Step-by-step explanation:

you can see from the picture that adding 2y and -2y cancels out. So the remaining parts of the equations are

-10x=-32

-2x=-16

add the two together:

-12x=-48

x=4

The perimeter of the rectangle in the given diagram is: D. 42 units.

In order to determine the perimeter of this rectangle, we would have to find the length of the third side of the right-angled triangle by using Pythagorean's theorem. Mathematically, Pythagorean's theorem is given by this mathematical expression:

a² + b² = c²

Where:

a, b, and c represents the side lengths of a right-angled triangle.

9² + b² = 15²

81 + b² = 225

b² = 225 - 81

b = √144

b = 12 units.

Mathematically, the perimeter of a rectangle can be calculated by using this mathematical expression;

P = 2(L + W)

Where:

P = 2(9 + 12)

P = 42 units.

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Evaluate \(3(x + 5)\) at \(x = - 1\)

Let's solve!~

\(3( - 1 + 5)\)

\(3( - 4)\)

\( - 12\)

Thus, The value of 3(x+5)=-12 at x=-1

Answer:

\(Here,3(x+5)\)

\( = > 3( - 1 + 5)\)

\( = > - 3 +1 5\)

\( = > 12\)

Step-by-step explanation:

The value of expression 3(x+5) is 12 when x=-1.

Answer:

98

Step-by-step explanation:

An average score can be calculated by finding the sum of all scores and then dividing by the number of tests. So we can create an equation like this:

\(\frac{(92+86+83+90+91+x)}{6}=90\)

The numerator is the sum of her scores, where x represents the score of her next test (which is what we're trying to find).

The denominator is the total number of tests, which is 6 - this includes the 5 she has taken already and the next test that she hasn't taken yet.

Furthermore, we know all of this has to equal 90 because that's the average we're looking for.

Now we just solve for x.

Step 1) Multiply by 6:

\(92+86+83+90+91+x=90 \times 6\)

Step 2) Simplify equation:

\(442+x=540\)

Step 3) Subtract 442:

\(x=540-442=98\)

Therefore, x = 98, so Danielle must achieve a score of 98 to have an overall class average of 90.

Answer:

2:1

Step-by-step explanation:

2:3=1:3

as product of extremes = product of means

(2)(3):(1)(3)

6:3

2:1

"An arithmetic sequence is a linear function whose domain is restricted to the set of non-negative integers."  

The general form an arithmetic sequence is:

       \(a_{n} = a_{1} + (n- 1) d\)

So, the statement provided is True.

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The critical value used to test if there is evidence of an effect due to blocks at the 5% level of significance is 10.76.

The critical value can be determined using a statistical table.

The degrees of freedom for the blocks is 4 (df_b = 5 - 1 = 4) and for the treatments is 2 (df_t = 3 - 1 = 2).

The critical value for a 5% level of significance is 10.76.

This value can be found in the statistical table given in the textbook.

The critical value used to test if there is evidence of an effect due to blocks at the 5% level of significance can be calculated by using the F-test statistic.

The F-test is used to compare the variance between the blocks (SSBL) and the variance between the groups (SSB).

The F statistic is calculated by dividing the variance between the blocks (SSBL) by the variance between the groups (SSB).

In this case,

The F statistic is 3738/1048.93 = 3.56.

The critical value for a 5% level of significance can be found using a statistical table.

According to the table,

The critical value for an F statistic of 3.56 with four degrees of freedom in the numerator and four degrees of freedom in the denominator is 10.76

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Using a Karnaugh map, the expression Y = ABC + ABC + ABC + BCD + BCD can be simplified to Y = ABC + BCD.

By analyzing the given expression and constructing a Karnaugh map, we identify two groups of adjacent 1s: ABC and BCD. The simplified expression is obtained by combining these groups.

Using the Karnaugh map, we locate the positions of the 1s corresponding to ABC and BCD:

```

   CD

AB  00  01  11  10

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

00 |  0   0   0   0  |

01 |  0   0   0   0  |

11 |  0   0   0   0  |

10 |  1   1   1   0  |

```

From the map, we can observe that ABC is represented by the 1s in the top-left corner and BCD is represented by the 1s in the bottom-right corner.

Combining these groups, we obtain the simplified expression: Y = ABC + BCD.

Therefore, using the Karnaugh map, the expression Y = ABC + ABC + ABC + BCD + BCD simplifies to Y = ABC + BCD.

Note: The Karnaugh map is a helpful tool in Boolean algebra for simplifying expressions by identifying adjacent groups of 1s.

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Answer:

12 minutes

Step-by-step explanation:

my guts are always right

Answer:

15. 36 units

16. 15 units.

Step-by-step explanation:

15.

Length of rectangle = 11 units

Width of rectangle = 7 units.

=> 2(11 + 7)

=> 2(18)

=> 36 units.

Perimeter of the rectangle will be 36 units. (Ans)

16. Length of side of pentagon= 3 inches

=> 5 × 3

=> 15 units.

Perimeter of the pentagon will be 15 units (Ans)

Answer:

Step-by-step explanation:

6x-5x+7x=34

x+7x=34

8x=34

x=\(\frac{34}{8}\)

Answer:

X= 5 2/3

Step-by-step explanation:

Combine Like terms

6x=34

Inverse Operation

x=35/6

Simplify

X=5 2/3

The factor that provides the basis for the grading of newly diagnosed malignant tumours is degree of differentiation.

The level of differentiation impacts an individual's capacity to control their emotions, thoughts, individuality, and connections to others. The degree of any differential equation can be obtained when it is expressed as a polynomial; otherwise, the degree cannot be defined.

The mechanisms by which immature cells develop into mature cells with particular roles are described in biology. This indicates the degree to which tumour tissue resembles the healthy tissue from which it originated in the context of cancer. Compared to poorly or undifferentiated cancer cells, well-differentiated cancer cells resemble normal cells more and grow and spread more slowly. Tumour grading systems, which vary for each form of cancer, use differentiation.

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Answer:

Let be x for how far the car go in $1

488-224

x-1

x = 224/488 ≈ 0.46

•°•The car can go 0.46 km far in $1 worth of petrol.

Answer: (9 x 10^10) - (4 x 10^10) in scientific notation is 5x x 10^10

Answer:

C. y= 3(x + 2)^2 + 2

Step-by-step explanation:

A. Rewrite in vertex form and use this form to find the vertex  

( h , k ) . ( 2 , − 2 )

B. Rewrite in vertex form and use this form to find the vertex  

( h , k ) . ( − 2 , 2 )

C. Rewrite in vertex form and use this form to find the vertex  

( h , k ) . ( − 2 , 2 )

D. Rewrite in vertex form and use this form to find the vertex  

( h , k ) . ( 2 , 2 )

Since the limit is a finite value, the integral is convergent. Furthermore, the value of the convergent integral is 21e^(-1), which is approximately 7.713.

whether the integral is convergent or divergent.

First, let's rewrite the integral using proper notation:

∫(1 to ∞) 21e^(-x) dx

Now, to determine if the integral is convergent or divergent, we'll perform the following steps:

1. Apply the limit as the upper bound approaches infinity:

lim(b→∞) ∫(1 to b) 21e^(-x) dx

2. Evaluate the improper integral using the antiderivative:

F(x) = -21e^(-x)

Now, we need to find the limit as b approaches infinity:

lim(b→∞) (F(b) - F(1))

3. Calculate the limit:

lim(b→∞) (-21e^(-b) - (-21e^(-1)))

As b approaches infinity, e^(-b) approaches 0. Therefore, the limit is:

-(-21e^(-1)) = 21e^(-1)

Since the limit is a finite value, the integral is convergent. Furthermore, the value of the convergent integral is 21e^(-1), which is approximately 7.713.

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Answer:

1/ \(x^{-8}\)

Step-by-step explanation:

when there is two powers the correct method to solve is to multiply them so

4 * -2 = -8

Answer:

first option

Step-by-step explanation:

The solution to the system of equations given graphically is at the point/s of intersection of the 2 functions.

There is only 1 point of intersection at about x = 1.5

Using proportions, it is found that she needs 4 consecutive hits to raise her batting average to .400.

A proportion is a fraction of a total amount.

Hence, the batting average is given by the number of hits divided by the number of at-bats.

If she gets x consecutive hits, she will have 8 + x hits in 25 + x at-bats, for an average of 0.400, hence:

\(0.4 = \frac{8 + x}{25 + x}\)

8 + x = 10 + 0.4x

0.6x = 2

x = 3.33

Rounding up, she needs 4 consecutive hits to raise her batting average to .400.

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Answer:

18-Yes 19-No 20-yes 21- yes

Step-by-step explanation:

18

1 to 4, 5 to 20

Yes, this is correct

WE can multiply 1*5 and 4*5 to get 5 to 20

19

Wrong

3 to 11, 1 to 3 isn't correct

For example, if we were to divide 3 by 3 to get one, 11/3 is 2. (6)

So, no

20

2/3 is 2 to 3

14/21 is 14 to 21

If we multiply 2*7 and 3*7, we get 14 to 21

21 25 to 30 is  equal to 35 to 42

They just added 7 to both numbers

if we divide ratio 1 by 5, we get 5:6

if we divide ratio 2 by 7 we get 5 to 6

Answer:

Step-by-step explanation:

If Lee builds 5 toys in 5 minutes, then that means he builds 1 toy per minute

Additionally, in 9 hours, there are 540 minutes (9 * 60)

If Lee creates 1 toy per minute for 540 minutes, he will have 540 toys

If Lee builds 5 toys in 5 minutes, then that means he builds 1 toy per minute

Additionally, in 9 hours, there are 540 minutes (9 * 60)

If Lee creates 1 toy per minute for 540 minutes, he will have 540 toys

Given:

The depth, d , of a lake is 57 m, rounded to the nearest integer.

To find:

The error interval for d in the form a ≤ d < b.

Solution:

The depth, d , of a lake is 57 m, rounded to the nearest integer.

If the depths of the lake is 56.5m or greater than this up to 57 m, then the depth, d , of a lake is 57 m, rounded to the nearest integer.

\(56.5\leq d\leq 57\)             ...(i)

If the depths of the lake is 57m or greater than this up to 57.5 m but not 57.5 m, then the depth, d , of a lake is 57 m, rounded to the nearest integer.

\(57\leq d<57.5\)             ...(ii)

Using (i) and (ii), we get

\(56.5\leq d<57.5\)

Therefore, the error interval for d is \(56.5\leq d<57.5\).

True. The simulations for paired design and independent group design are the same, but the way data is collected differs.

In paired design, data is collected from two related samples, while in independent groups design, data is collected from two unrelated samples. Despite this difference in data collection, the simulations for both designs are the same.

The simulations for paired design and independent group design are similar because they both involve testing a null hypothesis using statistical methods. In both designs, the goal is to determine whether there is a significant difference between two groups or samples.

However, in paired design, the difference between the two samples is calculated within each pair of related observations, while in independent groups design, the difference is calculated between two unrelated samples. The simulations for both designs involve generating random data sets based on assumptions about the population parameters and testing whether the observed differences between groups are statistically significant.

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The curve is y = In(sec(x)) and we have to find its length. We are given the range as 0 ≤ x ≤ π/4. So, the formula for the length of the curve is given as:

To solve for the length of the curve of y = In(sec(x)), we use the formula,

`L = ∫[a,b] √[1+(f′(x))^2] dx`.Where, `a = 0` and `b = π/4`. And `f′(x)` is the derivative of `In(sec(x))`.

We know that:`f′(x) = d/dx[In(sec(x))]`

Using the formula of logarithm differentiation, we can write the above equation as:

`f′(x) = d/dx[In(1/cos(x))]`

So,`f′(x) = -d/dx[In(cos(x))]`

Therefore,`f′(x) = -sin(x)/cos(x)`

Substituting the values, we get:

`L = ∫[a,b] √[1+(f′(x))^2] dx`

`L = ∫[0,π/4] √[1+(-sin(x)/cos(x))^2] dx`

`L = ∫[0,π/4] √[(cos^2(x)+sin^2(x))/(cos^2(x))] dx`

`L = ∫[0,π/4] sec(x) dx`

Now, `L = ln(sec(x) + tan(x)) + C` where `C` is a constant.

We calculate the constant by substituting the values of `a = 0` and `b = π/4`:

`L = ln(sec(π/4) + tan(π/4)) - ln(sec(0) + tan(0))`

`L = ln(√2 + 1) - ln(1 + 0)`

`L = ln(√2 + 1)`

Thus, the exact length of the curve is `ln(√2 + 1)` units.

Thus, the exact length of the curve of y = In(sec(x)), 0≤x≤π/4 is `ln(√2 + 1)` units.

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Answer:

1 hour: 4 dollars

Step-by-step explanation:

If Billy is being paid $100 for 25 hours of work, that means for every 5 hours of work, he is making $20. This means that for every hour of work, Billy is making $4. So the rate is 1 hour: 4 dollars

I hope this helps :)