You and 2 friends have a job cleaning houses. You split the total money you make so
that you each get the same amount. On the first day, you earn $93. The second day,
you earn $75. The third day, you earn $108. How much money do you each get for 3
days of work?

Answer:

Height above the bottom gorge is 113 feet

Step-by-step explanation:

The width of the gorge = 40 feet

The height of the higher cliff = 158 feet

The height of the lower cliff = 98 feet

The length of the bridge = √((158-98)² + 40²) = 72.11 feet

The slope of the bridge = (158-98)/40 = 1.5

The length of 1/4 of the bridge from the lower cliff =72.11 - 3/4×72.11 = 18.03 feet

The angle of inclination of the bridge = tan⁻¹(1.5) = 56.31°

The height above the bottom at 3/4 from the higher cliff = The height above the bottom at 1/4 from the lower cliff = 98+ 18.03×sin(56.31 ) = 113 feet

Which can also be found directly from the heights of the two cliffs knowing that 3/4 from the higher cliff = 1/4 from the lower cliff giving;

Height above the bottom gorge = 98 + 1/4×(158 - 98) = 113 feet.

Answer:

do you have the graph to solve it?

Answer:

D

Step-by-step explanation:

First find the slope.

\(Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{5-[-9]}{4-[-3]}=\dfrac{5+9}{4+3}\\\\\\=\dfrac{14}{7}=2\)

Point slope form:

y - y1 = m(x -x1)

y -[-9] = 2 (x - [-3])

y +9 = 2 (x + 3)

The true statement among these options is that Line NQ intersects the circle at point Q. As indicated in the diagram, Line NQ crosses the circle, intersecting it precisely at point Q.

In the given diagram, Circle P is depicted, with Line VU passing through the center point P. Line PT extends from the center point P to intersect with the circle at point T.

Line SR crosses the circle, intersecting it at some point(s). Line NQ intersects the circle at point Q.

The other statements do not align with the given information.

Line VT, for instance, does not intersect the circle but rather extends from the center to a point on the circle.

Line SR, although it passes through the circle, does not intersect it at a specific point. Hence, the only accurate statement is that Line NQ intersects the circle at point Q.

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SOLUTION

We want to solve

To do this, change the mixed fraction into improper fraction.

We say, 2 multiplied by 12, then plus 1. We write the result as the numerator over the denominator which is 2. That is

We then multiply by 4, we have

Hence the answer is 50

The correct option is (1) less than 10 times the original distance.The original distance was  30 cm and the new distance is 94.86 cm which is less than 10 times the original.

The force of attraction and repulsion among two charged bodies are directly proportional to a product of their charges but inversely proportional to a square of a distance between them, according to Coulomb's law.

It works along the line that connects the two charges that are called point charges.

The formula for Coulomb's law is-

\(f_{}=\frac{q_{1} q_{2}}{4 \pi \epsilon d_{}^{2}}\)

where, q₁ and q₂ are the charges;

d is the distance between them.

Now, according to the question;

Two charges that were initially separated by a particular distance are pushed closer together until force between the two is reduced by a factor of ten.

Coulomb's law of force

\(f_{1}=\frac{q_{1} q_{2}}{4 \pi \epsilon d_{1}{ }^{2}}\)

d₁ is the initial distance.

So when charges are separated further, a new force is f₂, which is represented as

\(f_{2}=\frac{q_{1} q_{2}}{4 \pi \epsilon d_{2}^{2}}\)

d₂ is the moved distance

As a result, the given force is decreased by ten times its original value.

Thus, \(f_{2}=\frac{f_{1}}{10}\)

use the expression in both forces

\(\begin{gathered} \frac{f_{1}}{10}=\frac{q_{1} q_{2}}{4 \pi \epsilon d_{2}{ }^{2}} \\\frac{q_{1} q_{2}}{4 \times 10 \pi \epsilon d_{1}{ }^{2}}=\frac{q_{1} q_{2}}{4 \pi \epsilon d_{2}{ }^{2}} \\ \frac{1}{10 \times d_{1}{ }^{2}}=\frac{1}{d_{2}{ }^{2}} \\ d_{2}=\sqrt{10} d_{1}\end{gathered}\)

Now, calculate the moved distance d₂,

\(\begin{aligned}& d_{2}=\sqrt{10} d_{1} \\ & d_{2}=\sqrt{10} \times 30 \\& d_{2}=3.162 \times 30 \\ & d_{2}=94.868 \mathrm{~cm}\end{aligned}\)

The new distance is 94.868 cm.

Therefore, the new obtained distance is less than the 10 times the original distance.

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The complete question is-

Two charges originally separated by a certain distance are moved farther apart until the force between them has decreased by a factor of 10.  Is the new distance

(1) less than 10,

(2) equal to 10, or

(3) greater than 10;

times the original distance? If the original distance was 30 cm.

Answer:

The volume is 216 cm³

Step-by-step explanation:

Hope this helped Mark BRAINLEST!!!

Answer:

- 4/7

Step-by-step explanation:

The resulting point is 5 units right and 2 units down, and the resulting coordinates are (- 4, 4).

Used the concept of coordinate that states,

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

The coordinate is (- 9, 6) and (5, - 2).

Now the value of the resulting coordinate is found as,

(- 9 + 5, 6 - 2)

= (- 4, 4)

Therefore, the resulting point is 5 units right and 2 units down, and the resulting coordinates are (- 4, 4).

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Answer:100,000,000

Step-by-step explanation:

1,000,000 x 100 = 100,000,000

The given two planes 2x + 4y + 3z = 5 and x + 8y + 10z = 3 are perpendicular to each other.

According to the given question.

We have two planes

2x - 4y + 3z = 5

and,

x + 8y + 10z = 3

Since, two planes are perpenicular if

\(a_{1} a_{2} + b_{1} b_{2} + c_{1} c_{2} = 0\)

Where \(a_{1}\), \(b_{1}\) and \(c_{1}\) and \(a_{2}\), \(b_{2}\) and \(c_{2}\) are the direction ratios of planes.

And the two planes are parallel to each other if

\(\frac{a_{1} }{a_{2} } =\frac{b_{1} }{b_{2} } = \frac{c_{1} }{c_{2} }\)

Here, the direction ratios of plane 2x + 4y + 3z = 5 are 2, -4, and 3  and the direction ratios of plane x + 8y + 10z = 3 are 1, 8, and 10

Now,

2(1) + (-4)(8) + 3(10)

= 2 - 32 + 30

= 0

Since, the sum of the product of the direction ratios of  the two palnes is 0. Therefore, the given two planes 2x + 4y + 3z = 5 and x + 8y + 10z = 3 are perpendicular to each other.

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The equilibrium price is the price at which the quantity demanded equals the quantity supplied.

Looking at the graph, we can see that the demand curve intersects the supply curve at a quantity of approximately 200 million boxes. To find the corresponding equilibrium price, we need to find the price level at this quantity.

From the graph, we can observe that the price axis ranges from $20 to $40. Since the graph is not accurately scaled, we can estimate the equilibrium price to be around $30 per box based on the midpoint of the price range.

Therefore, the equilibrium price in this market is approximately $30 per box.

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Answer:

I thinks its 25%

Step-by-step explanation:

Answer:

D)2

the minus sign outside the bracket when multiplied by a negative number in the bracket is equal to a positive number

Answer:

D) 2

Step-by-step explanation:

the solution of the given rational equation is x = -1/7, which means the value of x is equal to negative one by seven when the equation is true.

Given Rational Equation

:

$\frac{4x - 1}{12} = \frac{11}{12} x$

We have to solve the above rational equation.So, let's solve it.

First of all, we will multiply each term of the equation by the LCD (Lowest Common Denominator), in order to remove

fractions from the equation.So, the LCD is 12

.Now, multiply 12 with each term of the equation.

$12 × \frac{4x - 1}{12} = 12 × \frac{11}{12}x$

Simplify the above equation by canceling out the denominator on LHS

.4x - 1 = 11x

Solve the above equation for x

Subtract 4x from both sides of the equation.-1 = 7x

Divide each term by 7 in order to isolate x. $x = -\frac{1}{7}$

Hence, the solution of the given rational equation is x = -1/7, which means the value of x is equal to negative one by seven when the equation is true.

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The solution to the rational equation is \($x = 3$\).

To solve the rational equation \($\frac{4x - 1}{12} = \frac{11}{12}$\) for \($x$\), we can follow these steps:

1. Start by multiplying both sides of the equation by 12 to eliminate the denominator: \($(12) \cdot \frac{4x - 1}{12} = (12) \cdot \frac{11}{12}$\).

2. Simplify the equation: \($4x - 1 = 11$\).

3. Add 1 to both sides of the equation to isolate the variable term: \($4x - 1 + 1 = 11 + 1$\).

4. Simplify further: \($4x = 12$\).

5. Divide both sides of the equation by 4 to solve for \($x$\): \($\frac{4x}{4} = \frac{12}{4}$\).

6. Simplify the equation: \($x = 3$\).

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Answer:

p = 11.2

Step-by-step explanation:

Given equation is :

2.6(5.5p – 12.4) = 127.92

Using the distributive property :

14.3p - 32.24 = 127.92

Using addition property :

14.3p - 32.24 + 32.24= 127.92 + 32.24 (adding 32.24 to the both sides)

14.3p = 160.16

Using division property :

\(p=\dfrac{160.16}{14.3}\\\\p=11.2\)

So, the value of p is 11.2

Answer:

11.2

Step-by-step explanation:

Did it on edge.

The value of k is approximately 10.33.

What is the exterior angle?

An exterior angle is an angle that forms a linear pair with an interior angle of a polygon. It is formed by extending one of the sides of the polygon. In other words, it is the angle formed between a side of a polygon and the extension of an adjacent side.

In a triangle, the measure of an exterior angle is equal to the sum of the measures of its two remote interior angles. In this problem, the exterior angle to the bottom left interior angle is (5k - 3) degrees, and the corresponding remote interior angle is (9 + k) degrees. Therefore, we can write:

(5k - 3) = (9 + k) + x

where x is the other remote interior angle of the triangle.

Simplifying this equation, we get:

5k - 3 = 9 + k + x

4k = 12 + x

x = 4k - 12

Now, we know that the sum of the interior angles of a triangle is 180 degrees. So, we can write:

(9 + k) + (5k - 3) + x = 180

Substituting x with 4k - 12, we get:

(9 + k) + (5k - 3) + (4k - 12) = 180

Simplifying this equation, we get:

18k - 6 = 180

18k = 186

k = 10.33 (rounded to two decimal places)

Therefore, the value of k is approximately 10.33.

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Answer:

9.75

Step-by-step explanation:

13÷4=3.25

3.25×3=9.75

The value of a is -1 When we put the value of x as zero all the terms which include x become zero then only constant terms are remaining.

The given question is in the form of an equation.

let's try to understand what is an equation.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance,

the equation 4x + 56 = 14 consists of the two equations 4x + 56 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically have one or more variables.

There are so many types of equations present linear equations, quadratic equations, and cubic equations.

According to the degree of the equation so many different types of equations.

2x^2 + x -a + 4  = 5 put x = 0.

2*0 + 0 - a + 4  = 5

-a + 4 = 5

-a = 5 - 4

-a  = 1

a  = -1.

So the value of a is -1.

Given Question is incomplete complete question here

What should be the value of a if the value of  2x^2 + x -a + 4  equals to  5 when x =0.

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Answer:

4

Step-by-step explanation:

1) 7a: 7 times a number

2) 2a+3: 3 more than twice a number

3) 30d, 30 minutes times the number of days she practices.

Answer: (3, -9)

Step-by-step explanation:

The equation of P is \((x-3)^2 +(y+2)^2 =49\)

Substituting the coordinates of each of the points into the equation, we see that only (3, -9) satisfies the equation.

The ellipse's equation is \($\frac{x^2}{3^2}+\frac{y^2}{4^2}=1$\) , The hyperbola's equation is \($ \frac{x^2}{(-4)^2}-\frac{y^2}{(-7)^2}=1$\) and  [-3, 3] is the ellipse's domain.

The ellipse's equation is (Part A) \($\frac{x^2}{3^2}+\frac{y^2}{4^2}=1$\) , The hyperbola's equation is shown in Part B as \($ \frac{x^2}{(-4)^2}-\frac{y^2}{(-7)^2}=1$\)

Part C: [-3, 3] is the ellipse's domain.

The hyperbola's domain lies between [-, -4].

The ellipse and hyperbola's domains do not intersect, hence the system of equations cannot be solved. The origin is the location of the ellipse's centre;8 units make up the vertical main axis. The minor axis equals six units.

Here is a general representation of the ellipse equation:;\($\frac{x^2}{b^2}+\frac{y^2}{a^2}=1$\)

a= The semi-major axis, where 8/2 = 4.

The semi-minor axis, b= 6/2 = 3.

Therefore, the ellipse's equation is

\(${\frac{-x^2}{3^2}+\frac{y^2}{4^2}=1}$\)

The negative vertex and the domain of the hyperbola are equal.

∴ The hyperbola's domain is [x -4] = [-, -4]

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(a) The total expected payoffs for Tech when going for one point are (0.98)($7.2 million) + (0.02)(-$1.7 million) = $7,014,000 (0.02)(0.20)($7.2 million) + (0.02)(0.80)(-$1.7 million) = -$108,000 Therefore, based on the expected payoffs, Tech should go for one point.

(b)  Tech’s probability of winning the game in overtime should be 76.82% to make Tech indifferent to going for either 1 or 2 points.

Decision tree analysis is a graph with different decision options and their potential consequences. Tech can go for two points or one point, and if one point is successful, it will go over time. The decision tree analysis is as follows: The following probabilities and outcomes will be used for decision tree analysis if Tech goes for two points: Probability of winning = 0.33 The payoff for a win is $7.2 million The payoff for a loss is -$1.7 million The probability of losing is 0.67 The payoff for a win is -$1.7 million The payoff for a loss is -$1.7 million If Tech goes for one point, the following probabilities and outcomes will be used: Probability of winning = 0.98 The payoff for a win is $7.2 million The payoff for a loss is -$1.7 million The probability of losing is 0.02 The payoff for a win is -$1.7 million The payoff for a loss is -$1.7 million If it goes for one point and loses, it will have a 20% chance of winning in overtime. Therefore, the probability of going for one point and winning is 0.98, while the probability of going for one point and losing is 0.02. If Tech goes for one point and goes to overtime, the probability of winning in overtime is 0.20. The total expected payoffs for Tech when going for two points are: (0.33)($7.2 million) + (0.67)(-$1.7 million) = $1,386,000 The total expected payoffs for Tech when going for one point are: (0.98)($7.2 million) + (0.02)(-$1.7 million) = $7,014,000 (0.02)(0.20)($7.2 million) + (0.02)(0.80)(-$1.7 million) = -$108,000 Therefore, based on the expected payoffs, Tech should go for one point.

(b) Let P be the probability that Tech will go for one point, and 1 – P be the probability that Tech will go for two points. Then, the overall probability of Tech winning the game is given by: P(Tech wins) = P(Tech wins, goes for one point) + P(Tech wins, goes for two points)Let A denote the event that Tech goes for one point and wins, B denote the event that Tech goes for two points and wins, and C denotes the event that Tech goes for two points and loses. Then we have: P(Tech wins) = P(A) + P(B) = 0.98P + 0.33(1 – P)If Tech goes for one point, there is a 0.98 probability of winning, and if Tech goes for two points, there is a 0.33 probability of winning. Let D denote the event that the game goes into overtime. Then: P(A) = P(Tech wins | A)P(A) = 0.98P(1 – 0.2)P(B) = P(Tech wins | B)P(B) = 0.33P(C) = P(Tech loses | C)P(C) = 0.67(1 – P)Hence: P(Tech wins) = P(A) + P(B) = 0.98P + 0.33(1 – P)If Tech is indifferent between going for one point and going for two points, it follows that the payouts for the Sugar Bowl and the Gator Bowl must be equalized. We have: P(Tech wins) = P(Tech wins, goes for one point) + P(Tech wins, goes for two points) = $7.2 million x P(A) + $7.2 million x P(B) + $1.7 million x P(C)Now we can solve for P as follows:0.98P + 0.33(1 – P) = $7.2 million x P(A) + $7.2 million x P(B) + $1.7 million x P(C)0.98P + 0.33 – 0.33P = $7.2 million x 0.98P + $7.2 million x 0.33P + $1.7 million x 0.67(1 – P)0.65P = $7.2 million x 0.98P + $7.2 million x 0.33P + $1.139 million – $1.139 P0.481P = $7.2 million x 0.98P + $7.2 million x 0.33P + $1.139 millionP = $1.139 million/$1.4815 millionP = 0.7682, or 76.82%Therefore, Tech’s probability of winning the game in overtime should be 76.82% to make Tech indifferent to going for either 1 or 2 points.

The possible dimensions of S1, can range from 0 to 4, and if S1 ≠ S2, then the possible dimensions of S1 can range from 1 to 4, where the dimension of S1 is equal to the dimension of S2 plus 1 up to a maximum dimension of 4.

(1) The possible dimensions of S1, when S2 is a nonzero subspace contained inside it and dim(S2) = 4, can be any integer value from 0 to 4.

(2) If S1 ≠ S2, then the possible dimensions of S1 can range from 1 to 4. Since S1 ≠ S2, it means that S1 must have at least one additional vector that is not present in S2. Therefore, the dimension of S1 can be equal to the dimension of S2 plus 1 (dim(S2) + 1), up to the maximum possible dimension of 4.

To elaborate further, when S1 ≠ S2, it implies that there exists a vector in S1 that is not in S2. This additional vector increases the dimension of S1 by one. Hence, the possible dimensions of S1 can be 1, 2, 3, or 4, as long as it is greater than or equal to the dimension of S2 plus 1. However, it is important to note that the specific dimension of S1 depends on the specific vectors and subspaces involved in the given context.

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Answer:

252

Step-by-step explanation:

t50 = t1 + (n - 1)(d)

= 7 + (50 - 1) (5)

= 7 + (49)(5)

= 7 + 245

= 252

Answer:

The 50ᵗʰ term of this sequence is 252

Step-by-step explanation:

Here,

First Term = a₁ = 7

Common Difference = (d) = 5

Now, For 50ᵗʰ term, n = 50

aₙ = a + (n - 1)d

a₅₀ = 7 + (50 - 1) × 5

a₅₀ = 7 + 49 × 5

a₅₀ = 7 + 245

a₅₀ = 252

Thus, The 50ᵗʰ term of this sequence is 252

-TheUnknownScientist

Answer:

22m²

Step-by-step explanation:

2 wide, 9 height is 18 for the rectangle figure. We see that the rectangle figure has a width of 2 while the entire width is 4. So 4-2 means the width of the right triangle that's split off is 2.

We see the rectangle height is 5, and total figure is 9, so 9-5 = height of 4 for the triangle.

4x2 x 1/2(since its a triangle) = 4

4+18 = 22

Answer:

It's 33.33%

Step-by-step explanation:

It's 3/9 = 1/3 = 0.3333 = 33.33%