Mountain climber Joe climb to a mountain peak that was 1200 feet above its base and 1500 feet east of his base Mountainclimb about crime to him out to pick that was 900 feet above his base and 1000 feet east of his based who climbed a steeper mountain explain

Answer:

x=3

Step-by-step explanation:

2(10x+2)=64

20x+4=64

20x=60

x=60÷20

x=3

Answer:

x=3

Step-by-step explanation:

2

(10x+2)=64

=

20x+4=64

Subtract 4 from both sides

20x=60

Divide both sides by 20

20x/20 = 60/20

therefore x = 3

Answer:

y - 4 = 3x + 12

y= 3x + 12 + 4

y = 3x + 16

Answer:

y = 3x + 16

Step-by-step explanation:

The slope-intercept form is: y = mx + b

m is the slope which in this question is 3.

y = 3x + b

4 = 3(-4) + b

4 = -12 + b

16 = b

The radius of the track is approximately 420.11 feet and hence, the second option is the correct option.

The circumference of a circle is given by the formula,

C = 2πr

where C is the circumference and r is the radius of the circle.

In the given problem, we have been given that the track is circular and has a length of 0.5 miles which is equivalent to,

0.5 x 5,280 = 2,640 feet.

So we can set up an equation,

2πr = 2,640

Solving for r, we get:

r = 2,640 / (2π)

r = 1320 / π

r = 1320 / 3.14

r ≈ 420.38 feet

Therefore, the radius of the track is approximately 420.11 feet.

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Correlation coeffiencients is used to determine the relationships between data, Correlation coefficients can test two or more variable(s) at a time

This is a linear correlation between sets of data. This coefficient can only be between -1 and 1.

Positive values show a positive correlation while a negative value shows negative correlation.  A correlation coefficient of zero shows no relationship between variables.

Based on the explanation, we can conclude that Correlation coefficients can test two or more variable(s) at a time

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The total amount of money left with Ram is Rs. 105

According to the given information:

Amount Ram had = Rs.200

Amount Ram spent= 1/4th of 200

Amount Ram gave to his friend = 1/2th of 90

To find: money left out for Ram.

Let the value of money left with Ram be x

Hence,

Step 1: Amount Ram had =200

Step 2: After spending 1/4th he is left with = 200*1/4 = 50

Step 3: Actual amount he has after spending the money = 200-50 = 150

Step 4: The amount is given to his friend = 90*1/2 = 45

Step 5: The actual amount left with Ram (x) = [step3] -[step4]

                                                                      x  = 150-45

                                                                       x = 105

Therefore the amount available with Ram after spending and giving his friend is Rs. 105.

Here we have to make a note of the original amount that the question specifies. The questions always have a trick to confuse the solvers, so make sure that while reading the question, mark the important aspects such as the amount Ram previously, the amount he spent, and later the amount he gave to his friend.

Always note the value that is given numerically and try to solve it chronologically or maintain the order of the question. Also, specify the steps properly so that the evaluator does not use much time to understand the solution.

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The effect on f(x) is that it is shifted one unit to the left on the x-axis to obtain g(x).

Here,

In mathematics, a graph is a visual representation of a set of objects, called vertices or nodes, and the connections between them, called edges or links.

The function f(x) is translated to g(x) by subtracting 1 from the exponent of 3.

This means that g(x) is obtained by shifting f(x) one unit to the right on the x-axis.

The coefficient of 2 remains unchanged, which means that the overall scaling of the function remains the same.

Therefore, the effect on f(x) is that it is shifted one unit to the left on the x-axis to obtain g(x).

In other words, the graph of g(x) is obtained by taking the graph of f(x) and shifting it to the right by one unit.

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Answer:

Sold for $182 Marked up $42

Step-by-step explanation:

just multiply 140 by 30% which is .3 as a decimal

when multiplied you get 42 so just add that to the original price and you get 182

Answer:

1. 537.1

2. 8.15

3. 9.77

4. 26.75

Step-by-step explanation:

To solve the initial value problem, we need to first find the general solution of the differential equation Dy/dx = 5x^3. Since dy/dx is a function of x,

the general solution of the differential equation is simply the general antiderivative (also called the indefinite integral) of the right hand side.

The antiderivative of x raised to a numerical power not equal to negative one is given by the formula:

∫ x^n dx = (x^(n+1))/(n+1) + C,

where C is the constant of integration. Applying this formula to our given differential equation, we get:

∫ Dy/dx dx = ∫ 5x^3 dx

Integrating both sides with respect to x, we get:

y = (5/4) x^4 + C

Now we use the given initial condition y(0) = 6 to find the specific value of C.

Substituting x=0 and y=6 in the general solution, we get:

6 = (5/4) (0)^4 + C

Simplifying, we get:

C = 6

Thus, the particular solution of the initial value problem is:

y = (5/4) x^4 + 6

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Answer:

A,B,D,E

Step-by-step explanation:

On a number line, all of these would be closer to the positives than -3

Hope this helps! :)

If X and Y are correlated, the covariance term would not be zero, and the final expression for var(Z) would include the covariance term as well.

To find var(Z), we need to determine the variance of Z by substituting the variances of X and Y into the expression. Here's how we can do it step by step:

1. Start with the expression Z = 2X + 3Y.

2. Since variance is a linear operator, we can apply the property var(aX + bY) = a²var(X) + b²var(Y) + 2abcov(X,Y).

3. In this case, a = 2, b = 3, and cov(X,Y) = 0 (assuming X and Y are uncorrelated).

4. Substitute the values into the expression: var(Z) = (2²)var(X) + (3²)var(Y) + 2(2)(3)cov(X,Y).

5. Simplify the expression: var(Z) = 4var(X) + 9var(Y) + 0.

6. Since cov(X,Y) = 0, the last term in the expression becomes zero.

7. Therefore, var(Z) = 4var(X) + 9var(Y).

In summary, var(Z) = 4var(X) + 9var(Y) when X and Y are uncorrelated.

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Answer:

-1/2

Step-by-step explanation:

Slope is change in x over change in y

so..

2-(-4)

over

-1-11

so...

-6/12 or -1/2

Answer:

Step-by-step explanation:

to write the absolute value of a number, use short vertical lines (|) on either side of the number. For example, the absolute value of −3 is written |−3|. Notice that distance is always positive or 0. |−3| = 3, as −3 is 3 units away from 0 and |3| = 3, as 3 is 3 units away from 0.

Answer:

-3, -4, -5, +3, +4, and +5 on the number lines are the values that are farther from 0 than -2 and +2 is the same.

Step-by-step explanation:

to get the slope of any straight line, we simply need two points off of it, let's use those two in the picture below.

\((\stackrel{x_1}{-2}~,~\stackrel{y_1}{8})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{-10}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-10}-\stackrel{y1}{8}}}{\underset{\textit{\large run}} {\underset{x_2}{1}-\underset{x_1}{(-2)}}} \implies \cfrac{-18}{1 +2} \implies \cfrac{ -18 }{ 3 } \implies - 6\)

The slope of the given function is -6.

Slope is a value that describes the steepness and direction of a line.

Given are the input and the output value of a function we need to find the slope of the function,

So,

m = y₂ - y₁ / x₂ - x₁

Taking first two ordered pairs,

(-2, 8) and (-1, 2)

So, the slope (m) = 8-2 / -2+1 = 6 / -1 = -6

Hence, the slope of the given function is -6.

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Based on the information, it can be inferred that of the 2,750 books, 1,750 are hardback and 1,000 are paperback.

Based on the information, to find the number of books of each type in a group of 2,750 we must perform the following operations.

We must first identify how many "groups" of books have been sold. Therefore we add 4 and 7.

Once we have this result, we divide the total number of books sold into groups of 11.

Once we have this result we know that in the total sale of 2,750 books. There are 250 groups of 11 books, of which 4 are hardback and 7 are paperback. So, to find how many paperbacks were sold we must multiply the number of groups by the number of paperbacks in each group:

Note: This question is incomplete because there is some information missing. Here is the complete information

A bookshop sold a total of 2,750 in January. (A) The ratio hardback books sold: paperback books sold is 4:7

Calculate how many paperback books were sold.

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The required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let 'a' be the cost per gallon of fuel in the year 2000, and 'b' be the inflation rate per year. If the rate of inflation is constant then
After 7 year inflation = 7b
Cost of fuel in 2007 = a + 7b

Now,
according to the question
Change in cost of fuel
= cost in 2007 - cost in 2000
= a + 7b - a
= 7b

Thus, the required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

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We can determine the equation in slope-intercept form of the line that bisects the angle formed by BA→ and BC→.

To find the equation of the line that bisects the angle formed by BA→ and BC→, we need to determine the slope and the midpoint of the segment formed by BA→ and BC→.

Let's assume the coordinates of points A, B, and C are (x₁, y₁), (x₂, y₂), and (x₃, y₃), respectively.

To find the slope of BA→, we use the formula:

slope of BA→ = (y₂ - y₁) / (x₂ - x₁)

To find the slope of BC→, we use the formula:

slope of BC→ = (y₃ - y₂) / (x₃ - x₂)

Since the line that bisects the angle is perpendicular to BA→ and BC→, its slope will be the negative reciprocal of the average of the slopes of BA→ and BC→.

Average slope = (slope of BA→ + slope of BC→) / 2

Perpendicular slope = -1 / Average slope

Once we have the perpendicular slope, we can use the midpoint formula to find the coordinates (x, y) of the midpoint of BA→ and BC→. The midpoint coordinates will serve as the (x, y) point in the slope-intercept form.

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

Using these steps, we can determine the equation in slope-intercept form of the line that bisects the angle formed by BA→ and BC→.

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To determine the convergence or divergence of an alternating series, you can use the Alternating Series Test. This test states that if the terms of an alternating series decrease in absolute value and approach zero, then the series converges.

Additionally, if the terms do not approach zero, the series diverges.

To apply the Alternating Series Test, you need to check two conditions:

1. The terms of the series must alternate in sign.

2. The absolute value of the terms must decrease or approach zero.

If both conditions are satisfied, you can conclude that the alternating series converges. However, if either condition fails, the series diverges.

If you want to determine the convergence or divergence more precisely, you can use the Integral Test or the Comparison Test. The Integral Test allows you to compare the convergence or divergence of a series to the convergence or divergence of an improper integral. If the integral converges, the series converges, and if the integral diverges, the series diverges.

The Comparison Test is another method to determine the convergence or divergence of a series. It involves comparing the given series with a known series whose convergence or divergence is already known. If the known series converges and the terms of the given series are less than or equal to the corresponding terms of the known series, then the given series also converges. Conversely, if the known series diverges and the terms of the given series are greater than or equal to the corresponding terms of the known series, then the given series also diverges.

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Answer:

0.29

Step-by-step explanation:

greatest numberrr

Answer: 16, 10, 64

Step-by-step explanation:

64/4=16, so the 3rd number is 4x the first.

16-6=10. 6 less than the first number.

16+10+64=90.

Answer:

x⁵+ 45x⁴+ 810x³+ 7290x²+ 32805x +59049

Step-by-step explanation:

Greetings !

Given expression

\((x + 9) {}^{5} \)

write 5 as a sum

\((x + 9) {}^{3 + 2} \)

\(use \: a {}^{m + n} = a {}^{m} \times a {}^{n} to \: expand \: the \: expression.\)

\((x + 9) {}^{3} \times (x + 9) {}^{2} \)

Use (a+b)³=a³+3a²b+b³ to expand the expression

\((x {}^{3} + 27x {}^{2} + 243x + 729) \times (x + 9) {}^{2} \)

Use (a+b)²=a²+2ab+b² to the second expression to expand it

\((x {}^{3} + 27x {}^{2} + 243x + 729) \times(x {}^{2} + 18x + 81)\)

Finally, simplify the expression gives

\(x {}^{5} + 45x {}^{4} + 810x {}^{3} + 7290x {}^{2} + 32805x + 59049\)

Hope it helps!

Answer:

\(\sf x^5 + 45x^4 + 810x^3 + 7290x^2 + 32805x + 59049\)

Given expression:

\(\bf (x+ 9)^5\)

Use Binomial expression to completely simplify the following expression.

Binomial expression formula:

\(\sf \large \text{ $ \sf (x+y)^n = \ ^n C_0 x^n y^0 + ^n C_1 x^{n-1} y^1+^n C_2 x^{n-2} y^2 +... + ^n C_n x^0 y^n $}\)

Solving steps:

\(\sf \large \text{ $ \sf (x+9)^5 $}\)

expanding:

\(\sf \ ^5 C_0 (x)^5 (9)^0 + ^5 C_1 (x)^{5-1} (9)^1+ ^5 C_2 x^{5-2} (9)^2 +^5 C_3 x^{5-3} (9)^3 +^5 C_4 x^{5-4} (9)^4 + ^5 C_5 x^{5-5} (9)^5\)

calculating:

\(\sf x^5 + 45x^4 + 810x^3 + 7290x^2 + 32805x + 59049\)

Answer: 39*

Step-by-step explanation:

102+39= 141

180-141=39

Answer:

x = 39°

Step-by-step explanation:

We know that,

→ Sum of sides of triangle = 180°

Forming the equation,

→ 39° + 102° + x = 180°

Now the value of x will be,

→ 39° + 102° + x = 180°

→ 141° + x = 180°

→ x = 180° - 141°

→ [ x = 39° ]

Hence, the value of x is 39°.

Answer:

The value of x = 4

Step-by-step explanation:

In this question, we are asked to calculate the value of the angle x

Here the ray cuts the angle into half.

Since the total of the angle was 120, half of this would be 120/2 = 60

Now, it is this value of 60, that our new angle equals to

Mathematically;

3x + 48 = 60

3x = 60-48

3x = 12

x = 12/3

x = 4

The trigonometric function gives the ratio of different sides of a right-angle triangle. The value of Cosec A is (√61)/(6).

The trigonometric function gives the ratio of different sides of a right-angle triangle.

\(\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\\)

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

The Cot is the ratio of the base of the triangle to the perpendicular side of the triangle, therefore, we can write,

Cot A = Base/Perpendicular = 5/6

Thus, the base of the triangle is 5 units, while the length of the perpendicular of the triangle is 6 units. Now the length of the hypotenuse side of the triangle is,

H² = 5² + 6²

H² = 25 + 36

H = √61

Now, the value of Cosec A can be written as,

Cosec A = Hypotenuse/Perpendicular = (√61) / (6)

Hence, the value of Cosec A is (√61)/(6).

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Answer:

7x^2*(x-4)*(x+6)

Step-by-step explanation:

7x^4 + 14x^3 - 168x^2

common factor 7x^2

7x^2*( x^2+2x-24)

now we factor ( x^2+2x-24)

(x-4)*(x+6)

Solution

7x^2*(x-4(*(x+6)

The factorized form 7x²(x-4)(x+6) of the polynomial 7x⁴ + 14x³ - 168x².

What is polynomial ?

The polynomial is the defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculation

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

Given polynomial as:

7x⁴ + 14x³ - 168x²

There is a common factor 7x²

7x²( x² + 2x - 24)

To determine the factor of ( x² + 2x - 24)

⇒ 7x²( x² + 2x - 24)

⇒ 7x²( x² + 6x - 4x -24)

⇒ 7x²[x(x+6) - 4(x+6)]

⇒ 7x²(x-4)(x+6)

Hence, the factorized form 7x²(x-4)(x+6) of the polynomial 7x⁴ + 14x³ - 168x².

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Answer:

2+(-35)

Step-by-step explanation:

please make me brainlist i would love the support

Answer:

\(\frac{1}{30}\)

Step-by-step explanation:

The computation of the probability is shown below:

P(die and spinner) is

= Probability of the die × probability of the spinner.

where,

Probability of the die is

= \(\frac{1}{6}\)

And for the spinner, the probability is

= \(\frac{1}{5}\)

Therefore the probability of both die and inner is

= \(\frac{1}{6} \times \frac{1}{5}\)

= \(\frac{1}{30}\)

We simply multiplied the probabilities of both die and spinner

Answer:

For Plato Users

Step-by-step explanation:

Plato