What is the circumferance of a sphere

The Speed of the still water: 11.5 km/h

Speed of the tide is 6.5 km/h

1) This is a case of rational equations problem, we need to remind ourselves of that relation evolving speed:

2) Based on that, we can set two equations. One to the salmon swimming with the aid of the tide, and the other against the tide. Note also that we need to convert minutes to hours so that the answer might be km/h

Now we can write out the following system of linear equations in which x is the still water and y is the speed of the tide:

Note that we added both equations simultaneously, eliminating y and then we plugged into that x-y=5,

3) Thus, the answer is the Speed of the still water: 11.5 km/h is the speed of the tide is 6.5 km/h

Answer:

X=130

Step-by-step explanation:

because 180-50=130

trust me this is the correct answer

Answer:

The answer; – 15

\( - 15 \: \: - 19 = - 34\)

I hope I helped you^_^

Answer:

-15

Step-by-step explanation:

34-19=15

CHECK:

-15-19=-34 (correct, and proven)

The maximum number of pieces of drywall that can be installed before running out of screws is 0.

To determine the number of pounds of drywall that can be installed before running out of screws, we need to consider the weight of both the drywall and the screws.

Given:

12 screws are required per piece of drywall.

Each piece of drywall weighs 30 lbs.

Each screw weighs 0.011 lbs.

The company received a bulk order of 100 lbs of screws.

Let's denote the number of pieces of drywall as "x".

The weight of the screws can be calculated as:

Weight of screws = Number of screws × Weight per screw

Weight of screws = 12 screws × 0.011 lbs/screw

Weight of screws = 0.132 lbs

Now, we can calculate the maximum number of pieces of drywall that can be installed based on the weight of the screws:

Maximum number of pieces of drywall = Weight of screws / Weight per drywall piece

Maximum number of pieces of drywall = 0.132 lbs / 30 lbs

Maximum number of pieces of drywall ≈ 0.0044 pieces

Since it doesn't make sense to have a fraction of a drywall piece, we can round down the result. Therefore, the maximum number of pieces of drywall that can be installed before running out of screws is 0.

In conclusion, with the given bulk order of 100 lbs of screws, the company cannot install any drywall before running out of screws.

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Answer:

The answer is C!

Step-by-step explanation:

The holdout method is a common approach to assess the performance of a model on new, unseen data.

Linear regression is a statistical technique used to model the relationship between a dependent variable and one or more independent variables. In simple linear regression, the relationship is modeled using a straight line, while in multiple linear regression, the relationship is modeled using a hyperplane in higher dimensions. Linear regression models are widely used in various fields, including finance, economics, social sciences, and engineering, to analyze and predict the behavior of a dependent variable based on one or more independent variables. The basic idea behind linear regression is to find the best-fitting line or hyperplane that minimizes the sum of the squared differences between the predicted values and the actual values of the dependent variable. This best-fitting line or hyperplane is called the regression line or regression hyperplane.

Here,

The basic idea is to split the available data into two parts: a training set and a validation set. The training set is used to fit the model, while the validation set is used to evaluate its performance. The holdout method can help us estimate how well the model will generalize to new data.

To compare the predictability of two linear regression models using the holdout method, we would follow these steps:

Split the data into a training set and a validation set. In this case, we would use the first 30 observations for training and the remaining 10 observations for validation.

Fit the first linear regression model using the training data. This model uses the variables x and d as predictors.

Fit the second linear regression model using the training data. This model extends the first model by including the interaction variable xd as a predictor.

Predict the response variable y for each observation in the validation set using both models.

Compare the predicted values to the actual values of y in the validation set. We can use metrics such as mean squared error (MSE) or R-squared to assess the performance of each model.

Choose the model that performs better on the validation set. This model is expected to have better predictability on new, unseen data.

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An addition equation that could be used to find the length of the other piece of material is,

38 = 19 + x.

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.

Given:

A piece of material measures 38 inches.

Courtney cuts the piece of material into two pieces.

One piece measures 19 inches.

Let x be the length of other pieces.

An addition equation that could be used to find the length of the other piece of material is,

38 = 19 + x

Therefore, 19 + x = 38 is an addition equation.

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Answer:

The answer I keep getting is 28 because when you add all the pounds it ends up as 7 and and you need to divide that by 1/4 which will be 7x4 be a vs he of the reciprocal so it is 28

hope this helps!!!!!!!  :)

Step-by-step explanation:

Answer:

30, 12, 2125

Step-by-step explanation:

A) .2 x 150 = 30

B) .15 x 80 = 12

C) .85 x 2500 = 2125

Helping in Jesus' name.

Answer:

90 minutos

Step-by-step explanation:

una hora es 60 minutos y media es 30 minutos.

Answer: 0.0465

Step-by-step explanation:

It is in the thousandths place  ✅

It has 465 in it ✅

Is it in standard form ✅

Answer:

.00465

4.65 x 10^-5

Step-by-step explanation:

The binomial factors of x³- 4x²+x+6​ are (x+2), (x+3), and (x-1).

Using the splitting and grouping the terms:

x³ + 4x² + x - 6

= x³ + 2x² + 2x² + x - 6  [Splitting 4x² = 2x² + 2x²]

= (x³ + 2x²) + (2x² + x - 6)

= x² (x + 2) + (2x² + 4x - 3x - 6)

= x² (x + 2) + [ 2x (x + 2) - 3 (x + 2)]

= x² (x + 2) + (x + 2) (2x - 3)

= (x + 2) ( x² + 2x - 3)

= (x + 2) ( x² + 3x - x - 3)

= (x + 2) [x (x + 3) - 1 (x + 3)]

= (x + 2) (x + 3) (x - 1)

Hence, the binomial factors are (x + 2), (x + 3) and (x - 1)

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Answer:

Step-by-step explanation:

D. 2 × 4 = 8 and E. 1 × 6 = 6 can be used to find 3 × 6.

You can use the fact that 3 × 6 = (2+1)×6 = 2×6 + 1×6 = 12 + 6 = 18.

h = hours till they're 58 miles apart

Check the picture below.

so they're travelling in opposite directions, however the combined distances is 58 miles at say "h" hours, by the time that happend Hopi has been walking "h" hours and Brittany has also being walking "h" hours too.

Since the combined distance is 58 miles than if Hopi has covered "m" miles then Brittany covered the slack of "58 - m".

\({\Large \begin{array}{llll} \underset{distance}{d}=\underset{rate}{r} \stackrel{time}{t} \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Hopi&m&15&h\\ Brittany&58-m&14&h \end{array}\hspace{5em} \begin{cases} m=(15)(h)\\\\ 58-m=(14)(h) \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{substituting on the 2nd equation}}{58-(\stackrel{m}{15h})=14h}\implies 58=29h\implies \cfrac{58}{29}=h\implies \boxed{2=h}\)

From the given graph, the rise, run and slope of this graph are 1, 5, and 1/5 respectively.

This is the ratio between the rise and run i.e y-axis and x-axis.

The rise any graph is the change in the y-axis.

\(\delta y = y_2 - y_1\)

The rise in this graph will be

\(\delta y = 1 - 0 = 1\)

The run on any graph is the change in the x-axis.

\(\delta x = x_2 - x_1\)

The run on this graph is

\(\delta x = 5 - 0 = 5\)

Having the values of rise and run, we can find the slope of this graph

\(m = \frac{\delta y}{\delta x} = \frac{1}{5}\)

The rise, run and slope of this graph are 1, 5, and 1/5 respectively.

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Answer: It is eather A or D (sorry for my spelling)

Step-by-step explanation:

Answer: 45

Step-by-step explanation:

The total profit in all was \(1040-900=\$ 140\).

The total profit per pizza was \((0.50)(8)=\$4\).

This means they sold \(\frac{140}{4}=35\) pizzas.

Adding this to the 10 pizzas held back, there were \(35+10=45\) pizzas in the original order.

So, the two balls are located on the same plane, the x-y plane, with the baseball at <3,5,0>m and the tennis ball at <-3,-1,0>m, with the vector pointing from baseball to the tennis ball is <-6,-6,0>m.

The position vector of the baseball is <3,5,0>m. The position vector of the tennis ball is <-3,-1,0>m.

The position vector of the tennis ball relative to the baseball is the vector pointing from the baseball to the tennis ball and it is calculated by subtracting the position vector of the baseball from the position vector of the tennis ball: <-3,-1,0>m - <3,5,0>m = <-6,-6,0>m

So the two balls are located on the same plane, the x-y plane, with the baseball at <3,5,0>m and the tennis ball at <-3,-1,0>m, with the vector pointing from baseball to the tennis ball is <-6,-6,0>m.

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Answer:

V = a cubed

Step-by-step explanation:

Hope this helps

Answer:

Step-by-step explanation:

(f/g) = (3 - 2x ) / (1/x + 5) You could go to the trouble to simplify all of this, but the easiest way is to just put in the 8 where you see an x

(f/g)8 = (3 - 2*8) / (1/8 + 5)

(f/g)/8 = (3 - 16 / (5 1/8)          1/8 = 0.125

(f/g) 8 = - 13 / ( 5.125)

(f/g)8 = - 2.54

Given,

The number of member in 2000 is 91.

The percentage of decrease is 6%.

Required:

The expression model shows the fan club's membership in terms of t, the number of years since 2000.

The expression for the member club is:

Hence, the expression for t is y=91(0.94)^t.

The exact value of sin(5π/12) is (√6 + √2)/4

From the question, we have the following parameters that can be used in our computation:

sin 5pi/12

Express properly

So, we have

sin(5π/12)

Convert the angle to degrees

This gives

sin(5π/12) = sin(5/12 * 180)

Evaluate

sin(5π/12) = sin(75)

The actual value of sin(75) is (√6 + √2)/4

This means that

sin(5π/12) = (√6 + √2)/4

Hence, the exact value of sin(5π/12) is (√6 + √2)/4

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The exact value of sin 5π/12 is (√6 + √2)/4

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

Angle in trigonometry can be measured in either degree or radian.

π is a measurement in radian which is equivalent to 180° in degrees.

Therefore:

5π/12 = 5 × 180/12

= 75°

Therefore sin5π/12 = sin75°

sin75 = sin( 45+30) = sin45cos30+ cos 45sin30

= 1/√2 × √3/2 + 1/√2 × 1/2

= √3/2√2 + 1/2√2

= (√3+1)/2√2

rationalizing;

(2√6 + 2√2)/8

dividing through by 2

=(√6 + √2)/4

therefore tan75 =(√6 + √2)/4

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Answer:

  25.024 mi/gal

Step-by-step explanation:

To find miles per gallon, divide miles by gallons.

  (312.8 mi)/(12.5 gal) = 25.024 mi/gal

The sοlutiοn οf the given prοblem οf unitary methοd cοmes οut tο be 12 cupcakes, 24 cupcakes, and 50 cupcakes will cοst rοughly $2.42, $2.33, and $2.58 per cupcake, respectively.

Tο cοmplete the assignment, use the tried-and-true straightfοrward methοdοlοgy, the real variables, and any pertinent details frοm the preliminary and specialized questiοns. In respοnse, custοmers might be given anοther οppοrtunity tο range sample the prοducts. In the absence οf such changes, majοr advances in οur knοwledge οf prοgrammes will be lοst.

Here,

We must divide the tοtal cοst by the quantity οf cupcakes in οrder tο determine the unit cοst οf each οptiοn:

Twelve cupcakes:

Unit cοst is calculated as Tοtal Cοst / Cupcakes.

=>  Unit cοst: $29 fοr 12 cupcakes.

=>  $2.42 is the unit cοst per cupcake.

Tο make 24 cupcakes:

Unit cοst is calculated as Tοtal Cοst / Cupcakes.

=> 24 cupcakes equals $56 fοr the unit.

=>  $2.33 is the unit cοst per cupcake.

50 cupcakes =

Unit cοst is calculated as Tοtal Cοst / Cupcakes.

=>  $129 fοr a unit οf 50 cupcakes.

=>  Unit cοst: $2.58 fοr each cupcake

As a result, 12 cupcakes, 24 cupcakes, and 50 cupcakes will cοst rοughly $2.42, $2.33, and $2.58 per cupcake, respectively.

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\(-2x+6=12\\2x=-6\\x=-3\)