Match the mathematical expression with its translation

Answer:

X= -2

Step-by-step explanation:

Answer:

yes it is X= -2

Answer:

(a)V=36πh

Explanation:

• Radius = 6 meters

Part A

An equation that represents the volume V as a function of the height h is:

Part B

Using 3.14 as an approximation for π

The graph of the function is attached below: (V is on the y-axis and h is on the x-axis).

Part C

The initial equation for volume is:

When h=1

If you double the height of a cylinder, h=2:

We observe that when the height is doubled, the volume of the cylinder is also doubled.

Part D

The initial equation for volume is:

If the height of the cylinder is multiplied by 1/3, we have:

The volume of the cylinder will be divided by 3.

Using the graph, we observe a horizontal stretch of the graph by 1/3.

The coordinate of the centroid of the given triangle will be at (-2.33,5).

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The given triangle with vertices has been drawn.

The midpoint of H( – 6, 3) and F(1, 5) will be as,

x = (-6 + 1)/2 = -2.5

y = (3 + 5)/2 = 4 so D(-2.5,4)

The coordinate of the centroid will intersect 2:1 of the median from the vertex side.

Thus by intercept formula,

x = (2 × -2.5 + 1 × -2)/(2 + 1) and y = (2 × 4 + 1 × 7)/(2 + 1)

x = -2.33 and y = 5

So the coordinate of vertices will be (-2.33,5).

Hence "The specified triangle's centroid's coordinate will be at (-2.33,5)".

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Answer:

Step-by-step explanation:

we need from each class 7 girls and 5 boys

to get this, we have three classes and we need 21 girls so we will divide 21 by the three classes which is

21/3=7

and for the boys we will divide the 15 boys by the three classes which is

15/3=5

Answer: 60 yards

Step-by-step explanation: Starting height is 280 yards, add 140 yards, then subtract 360.

Answer:

f(2) = 28

Step-by-step explanation:

f(x) = 2(x)2 + 5(x+2)

f(2) = 2(2)2 + 5(2+2)

= 4.2 + 5(4)

= 8 + 20

= 28

hope this help you

Answer:

x = 1.6666666667

Step-by-step explanation:

x = 2×2 + 5x + 10

= 2x + 5x + 10

-10= 2x+ 5x - x

-10=6x

1.6666666667 = x

x= 1.6666666667

The metric system of measurement is based on the number 10.

This system is also known as the International System of Units (SI) and is used in most countries around the world. In the metric system, various units of measurement are defined as multiples or fractions of a base unit, which is defined for each quantity being measured. For example, the base unit for length is the meter, and the base unit for mass is the kilogram. Prefixes such as kilo-, centi-, and milli- are used to indicate multiples or fractions of the base unit, based on factors of 10. For example, a kilometer is 1000 meters, a centimeter is 1/100 of a meter, and a milligram is 1/1000 of a gram. This makes the metric system easy to use and convert between units, as well as consistent and universally recognized.

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a). The difference between the two population means is estimated at a location to be 2.7.

b). 49 different possible outcomes make up the t distribution. The margin of error at 95% confidence is 1.7.

c). The range of the difference between the two population means' 95% confidence interval is (0.0, 5.4).

d). The (0.0, 5.4) represents the 95% confidence interval for the difference among the two population means.

The variability or spread in a set of data is commonly measured by the standard deviation. The deviation between the values in the data set and the mean, or average, value, is measured. A low standard deviation, for instance, denotes a tendency for data values to be close to the mean, whereas a high standard deviation denotes a larger range of data values.

Using the equation \(x_1-x_2\), we can determine the point estimate of the difference between the two population means. In this instance, we calculate the point estimate as 2.7 by taking the mean of Sample

\(1(x_1=22.8)\) and deducting it from the mean of Sample \(2(x_2=20.1)\).

With the use of the equation \(df=n_1+n_2-2\), it is possible to determine the degrees of freedom for the t distribution. In this instance, the degrees of freedom are 49 because \(n_1\) = 20 and \(n_2\) = 30.

We must apply the formula to determine the margin of error at 95% confidence \(ME=t*\sqrt[s]{n}\).

The sample standard deviation (s) is equal to the average of \(s_1\) and \(s_2\) (3.4), the t value with 95% confidence is 1.67, and n is equal to the

average of \(n_1\) and \(n_2\) (25). When these values are entered into the formula, we get \(ME=1.67*\sqrt[3.4]{25}=1.7\).

Finally, we apply the procedure to determine the 95% confidence interval for the difference between the two population means \(CI=x_1-x_2+/-ME\).

The confidence interval's bottom limit in this instance is \(x_1-x_2-ME2.7-1.7=0.0\) and the upper limit is \(x_1+x_2+ME=2.7+1.7=5.4\).

As a result, the (0.0, 5.4) represents the 95% confidence interval for the difference among the two population means.

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Using the common factors, the expression can be rewritten as follows:

The expression can be represented as follow using common factor.

1 / 4 x³y + 3 / 4 xy²

Using the common factors,

The common factors of 1 / 4 x³y  and  3 / 4 xy² is 1 / 4 xy.

Therefore,

1 / 4 x³y + 3 / 4 xy² = 1 / 4 xy (x² + 3y)

Therefore, rewriting 1 / 4 x³y + 3 / 4 xy² using the common factors is 1 / 4 xy (x² + 3y).

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Answer:

Look below.

Step-by-step explanation:

Bill: 5, 10, 15, 20, 25, 30...

Daughter: 3, 6, 9, 12, 15...

And so on.

Every 5 Bill does, add 3 to the number before in the daughter boxes..

Answer:

The answer is

\(y = \frac{4}{5} x - 6\)

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

From the question

m / slope = 4/5

c / y intercept = - 6

Substituting the values into the above formula

We have the final answer as

\(y = \frac{4}{5} x - 6\)

Hope this helps you

Answer:

the  correct answer is C.

Step-by-step explanation:

i got it right on edge 2020

Yes, the estimated regression equation provides a good fit to the data.

The proportion of the variation in the average yards that can be explained by the regression equation is given by the coefficient of determination, R².                                                                                                                                          

R² is a measure of how well the regression equation fits the data. It represents the percentage of the total variation in the dependent variable that is explained by the independent variable(s).

In this case, the coefficient of determination, R², is 0.828. This means that 82.8% of the variation in the average number of yards per drive can be explained by the regression equation.

Therefore, the estimated regression equation provides a good fit to the data.

B) The fit obtained using just ball speed to the fit obtained using ball speed and the launch angle are:                                                    

Ball Speed = 0.75% and Launch Angle = 0.83.

Therefore, the fit obtained using ball speed and the launch angle is better than the fit obtained using just ball speed. The given answer is correct.

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Answer:

5/14

Step-by-step explanation:

To find the slope using two points

m = ( y2-y1)/(x2-x1)

   = ( -1 - -6)/( 5 - -9)

   = ( -1 +6)/ ( 5+9)

    5/14

Answer:

  2.9403×10^15

Step-by-step explanation:

Your calculator can work this out for you.

  \((8.91\times10^2)(3.3\times10^{12})=(0.891\times10^3)(3.3\times10^{12})\\\\=(0.891\times3.3)(10^{3+12})=\boxed{2.9403\times10^{15}}\)

__

The applicable rule of exponents is ...

  (10^a)(10^b) = 10^(a+b)

__

Additional comments

You can keep a product the same if you divide one factor by 10 and multiply the other factor by 10:

  8.91×10² = (8.91/10)(10×10²) = 0.891×10³

I like to "pre-scale" the numbers in a problem like this so that the product comes out in scientific notation with no adjustment needed. That is, the product of the two mantissas is a number between 1 and 10.

Here, you can tell the product of 8.91 and 3.3 will be more than 24, so scaling will be necessary. It is convenient to scale the larger mantissa to be less than 1 so the product comes out less than 10. That is why we made it 0.891×10³.

Answer:

 2.9403×10^15

Step-by-step explanation:

i took the unit test

The given equation is$\frac{5}{7}=\frac{a_2}{a_3}\times \frac{a_4}{a_5}\times \frac{a_6}{a_7}$Now, let us take $a_2=5$ and $a_4=1$. Thus, we get, $\frac{5}{7}=\frac{5}{a_3}\times \frac{1}{a_5}\times \frac{a_6}{a_7}$To simplify, we get, $\frac{5a_5a_6}{7a_3a_7}=1$

Hence\(, $5a_5a_6=7a_3a_7$Now, let us take $a_5=7$, $a_6=1$, $a_3=5$ and $a_7=1$.\)Putting the values, we get, $5\times7\times1=7\times5\times1$.Thus,\($a_2=5$, $a_3=5$, $a_4=1$, $a_5=7$, $a_6=1$ and $a_7=1$\) satisfies the given equation $\frac{5}{7}=\frac{a_2}{a_3}\times \frac{a_4}{a_5}\times \frac{a_6}{a_7}$.

Therefore, there is a single sequence of integers \($a_2$, $a_3$, $a_4$, $a_5$, $a_6$, $a_7$\)such that $\frac{5}{7}=\frac{a_2}{a_3}\times \frac{a_4}{a_5}\times \frac{a_6}{a_7}$ and the values are: \($a_2=5$, $a_3=5$, $a_4=1$, $a_5=7$, $a_6=1$ and $a_7=1$.\)

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"pq" can refer to different logical operations based on the specific symbols used:

"p ∧ q" represents the conjunction or logical "and" operation.

"p ∨ q" represents the disjunction or logical "or" operation.

The term "contrapositive" does not involve combining p and q directly but rather represents a logical transformation of a single statement.

In logic, the term "pq" represents different logical operations between two statements p and q. Let's explore the meanings of each operation:

1. Conjunction: The conjunction of two statements p and q, denoted as "p ∧ q," is true only when both p and q are true. Otherwise, it evaluates to false. It can also be referred to as the logical "and" operation.

2. Disjunction: The disjunction of two statements p and q, denoted as "p ∨ q," is true if either p or q (or both) is true. It evaluates to false only when both p and q are false. It can also be referred to as the logical "or" operation.

3. Contrapositive: The contrapositive of a statement p, denoted as "¬q → ¬p," is a logical transformation where the original statement is negated and both the hypothesis (p) and conclusion (q) are swapped and negated. In other words, if the original statement is "If p, then q," the contrapositive is "If not q, then not p." The contrapositive preserves the logical equivalence of the original statement.

In summary, "pq" can refer to different logical operations based on the specific symbols used:

- "p ∧ q" represents the conjunction or logical "and" operation.

- "p ∨ q" represents the disjunction or logical "or" operation.

- The term "contrapositive" does not involve combining p and q directly but rather represents a logical transformation of a single statement.

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The first step in finding the distance between vertex P and vertex V is find the length of diagonal between vertex P and vertex R.

option A.

To find the distance between vertex P and vertex V, we need to draw a diagonal line from vertex P to vertex V.

After drawing the diagonal line, we will notice that we have a new right angle triangle.

So since we know the height of the right triangle, we need to find the base of the right triangle first, which is equal to length of diagonal length PR or TV

So the correct answer will be "find the length of diagonal PR first.".

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1. Markway can borrow $667,500 if each bond is sold at a premium of $30.

2. Markway can borrow $621,000 if each bond is sold at a discount of $10.

3. Markway can borrow $656,250 if each bond is sold at 92% of par.

4. Markway can borrow $773,250 if each bond is sold at 103% of par.

1. When each bond is sold at a premium of $30, the total premium amount is $30 x 750 = $22,500. The face amount of each bond is $900, so the borrowing amount would be $900 x 750 + $22,500 = $667,500.

2. When each bond is sold at a discount of $10, the total discount amount is $10 x 750 = $7,500. The face amount of each bond is $900, so the borrowing amount would be $900 x 750 - $7,500 = $621,000.

3. When each bond is sold at 92% of par, the selling price per bond is 92% x $900 = $828. The borrowing amount would be $828 x 750 = $656,250.

4. When each bond is sold at 103% of par, the selling price per bond is 103% x $900 = $927. The borrowing amount would be $927 x 750 = $773,250.

In each scenario, the borrowing amount is determined by multiplying the selling price per bond by the number of bonds. The presence of a premium or discount affects the borrowing amount accordingly.

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a. The new equilibrium income, Y₂, given the increase in government purchases, can be determined by calculating the change in autonomous expenditure (AG) and multiplying it by the multiplier.

b. The graph will show the initial aggregate expenditure (AE₁) and the new aggregate expenditure (AE₂) after the increase in government purchases. The difference between the change in government purchases (AG) and the change in equilibrium income (AY) can be visually represented by the vertical distance between the two equilibrium levels on the graph.

a. To determine the new equilibrium income, Y₂, we need to calculate the change in autonomous expenditure (AG) and multiply it by the multiplier. In this case, the change in government purchases is 2,000 pesos. Since the slope of the planned expenditure function is 2/8, the multiplier is the reciprocal of the slope, which is 8/2 = 4.

Therefore, the change in equilibrium income (AY) is equal to AG multiplied by the multiplier:

AY = AG * multiplier = 2,000 * 4 = 8,000 pesos.

The new equilibrium income, Y₂, is equal to the initial equilibrium income, Y₁, plus the change in equilibrium income (AY):

Y₂ = Y₁ + AY = 800,000,000 + 8,000 = 800,008,000 pesos.

b. On the graph, the horizontal axis represents the level of income (Y), and the vertical axis represents aggregate expenditure (AE). The initial equilibrium level of income, Y₁, is where AE₁ intersects the 45-degree line, which represents the level of income equal to aggregate expenditure. After the increase in government purchases, the new equilibrium level of income, Y₂, is where the new AE₂ curve intersects the 45-degree line.

The vertical distance between the two equilibrium levels, Y₂ and Y₁, represents the change in equilibrium income (AY). The change in government purchases (AG) is represented by a shift of the AE curve. The graph visually demonstrates the difference between the change in government purchases (AG) and the resulting change in equilibrium income (AY).

Using the Keynesian cross model, we have determined the new equilibrium income, Y₂, by calculating the change in autonomous expenditure (AG) and multiplying it by the multiplier. The difference between the change in government purchases (AG) and the change in equilibrium income (AY) can be shown and explained through a graph, illustrating the shift in aggregate expenditure and the vertical distance between the initial and new equilibrium levels.

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Answer:

Hey mate I hope this will help you if so then pls mark me as brainliest

The Highest common factor ( HCF )

Of two prime numbers is 1 because prime numbers doesn't any other factor except themselves and 1. So for all primes the HCF is 1.

17 and 19 are primes so the HCF of both the numbers is 1.

Step-by-step explanation:

The proportion of 16 to 4 is 4 is 1/4 of 16( 4/16 = 1/4)

So x would be 1/4 of 12

12/4 = 3

X = 3

Answer:

Step-by-step explanation:

The proportion of 16 to 4 is 4 so 1/4 of 16( 4/16 = 1/4)

So x would be 1/4 of 12

12/4 = 3

X = 3

The probability that the team wins a game is given as follows:

0.53 = 53%.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

The percentages for wins in this problem are given as follows:

Hence the probability that the team wins a game is given as follows:

p = 0.75 x 0.6 + 0.2 x 0.4

p = 0.53 = 53%.

The complete problem is:

During one season, a high school baseball team leads at the end of the fifth inning in 60% of the games. the team wins 75% of the time when they have the lead after 5 innings, but only 20% of the time when they do not. What is the probability that a team wins a single game.

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If the product of the terms of the fraction is 162 and the fraction is equivalent to 2/9 then the fraction is 6/27.

Let's assume the two terms of the fraction are x and y. We are given that xy = 162. Also, we know that the fraction is equivalent to 2/9. So, we can write,

x/y = 2/9

Cross-multiplying, we get,

9x = 2y

Solving for y, we get,

y = (9/2)x

Substituting this value of y in the equation xy = 162, we get,

x(9/2)x = 162

Simplifying, we get,

(9/2)x² = 162

x² = 36

x = 6 (taking the positive square root as x and y are positive)

Substituting this value of x in the equation y = (9/2)x, we get,

y = (9/2)(6) = 27

So, the fraction is 6/27, which simplifies to 2/9.

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Complete question - The product of two terms of a fraction is 162, find the fraction if it is equivalent to 2/9.

The statement that knowing the value of x tells you nothing about the value of y can be explained by several scenarios. One possible scenario is when the values of x and y are not related in any way. In other words, there is no mathematical or logical connection between them.

Another scenario where knowing the value of x tells you nothing about the value of y is when there are multiple possible values of y for a given value of x. This occurs when the relationship between x and y is not one-to-one. For instance, if x represents a person's age and y represents their height, knowing someone's age does not determine their height since there are different heights for different ages.

Furthermore, it is possible that there is a relationship between x and y, but the value of y is affected by other factors besides x. For example, if x represents the amount of time a student spends studying and y represents their grade on a test, knowing the value of x does not completely predict the value of y because other factors like natural ability and test-taking skills may also play a role in determining the grade.

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We will have the following:

We can see that the shape of the head can be subdivided in smaller shapes, that is:

Now, we calculate the 5 areas, that is:

Now, the total area is:

So, the total area is 108 mm^2-

Answer:

6.5 cm

Step-by-step explanation:

Please find step by step explanation on picture

Answer:

Step-by-step explanation:

Answer:

Perimeter: 2l+2w

Area: lw

Step-by-step explanation:

Let l=length, and w=width

Answer:

For Perimeter its  2times length + 2times width

and for Area its: length times width

Hope this helps :)

Answer:

263,267

Step-by-step explanation:

473/2 is 263.5 and so just add .5 to one and subtract .5 from the other