write the equation of the linear relationship in slope-intercept form, using decimals as needed.

Answer:

2000

Step-by-step explanation:

10 * 200

Answer:

20

Step-by-step explanation:

because 20 is the only number that is 10 times as much as 200

Answer:

Excise tax

Step-by-step explanation:

Correct me if I'm wrong <3

Answer:

45/49

Step-by-step explanation:

The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.

9/14 * 10/7 = 90/98

divide the numerator and the denominator by 2.

90 * 2 = 45

98 * 2 = 49

45/49

The measure of angle O is 56 and the value of m and n are 8.1 in and 14.5 in respectively.

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The longest side is hypotenuse and it is the side facing the right angle. The other two sides are opposite and adjascent.

sin(tetha) = opp/hyp

cos(tetha) = adj/hyp

tan,(tetha) = opp/adj

angle O = 180-(90+34)

= 180- 124

= 56°

To find m,

Tan 34 = m/12

m = Tan34 × 12

m = 8.1 in

using Pythagoras theorem to find n,

n= √8.1²+12²

n = √65.61+144

n = √209.61

= 14.5 in

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Answer:

first graph

Step-by-step explanation:

x > n

the graph will have an open circle at the value n , indicating that x cannot equal n ( note solid circle if x ≥ n )

the arrow from n will point in the right direction, indicating values of x greater than n.

the graph representing x > n is the first graph

The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.

Answer:

x^2

Step-by-step explanation:

1^2=1

2^2=4

3^2=9

Answer:

x = 65.26 degrees or x = 245.26 degrees.

Step-by-step explanation:

To solve the equation 4tan(x)-7=0 for 0<=x<360, we can first isolate the tangent term by adding 7 to both sides:

4tan(x) = 7

Then, we can divide both sides by 4 to get:

tan(x) = 7/4

Now, we need to find the values of x that satisfy this equation. We can use the inverse tangent function (also known as arctan or tan^-1) to do this. Taking the inverse tangent of both sides, we get:

x = tan^-1(7/4)

Using a calculator or a table of trigonometric values, we can find the value of arctan(7/4) to be approximately 65.26 degrees (remember to use the appropriate units, either degrees or radians).

However, we need to be careful here, because the tangent function has a period of 180 degrees (or pi radians), which means that it repeats every 180 degrees. Therefore, there are actually two solutions to this equation in the given domain of 0<=x<360: one in the first quadrant (0 to 90 degrees) and one in the third quadrant (180 to 270 degrees).

To find the solution in the first quadrant, we can simply use the value we just calculated:

x = 65.26 degrees (rounded to two decimal places)

To find the solution in the third quadrant, we can add 180 degrees to the first quadrant solution:

x = 65.26 + 180 = 245.26 degrees (rounded to two decimal places)

So the solutions to the equation 4tan(x)-7=0 for 0<=x<360 are:

x = 65.26 degrees or x = 245.26 degrees.

Answer:

\(55.555...\ (\%)\)

Step-by-step explanation:

What percent of values is between the first and third quartiles

\(\text{Quartile 1} =\frac{75+100}{2} =87.5\)

\(\text{Quartile 2} =\frac{200+225}{2} =212.5\)

50 < 75 < 87.5 < 100 < 125 < 150 < 175 < 200 < 212.5 < 225 < 250

Then we have 5 values between the first and third quartiles which are :

100, 125, 150, 175, 200

Therefore,

The percent of values between the first and third quartiles is :

\(\frac{5}{9} \times 100=55.555...\)

Answer:

Step-by-step explanation: $130-$70 lift = $60/$20 per hour= 3 hours ski time

Answer: 68y+106=36-y

Answer:

\(\mathbf{ \dfrac{\pi}{675}\Big[ 34\sqrt{34} -125\Big] }\)

Step-by-step explanation:

The curve x = f(y)

The area of the surface around the y-axis from y = a → y = b is:

\(=\int^b_a 2 \pi x \sqrt{1 + (\dfrac{dx}{dy})^2} \ dy\)

From the given curve:

\(y = (5x)^{^{\dfrac{1}{3}}\) ; assuming the region bounded by the curve is 0 ≤ y ≤ 1

So;

\(y = (5x)^{^{\dfrac{1}{3}}\)

5x = y³

\(x = \dfrac{1}{5}y^3\)

The differential of the above equation Is:

\(\dfrac{dx}{dy}= \dfrac{1}{5} \times (3y^2)\)

\(\dfrac{dx}{dy}= \dfrac{3}{5}y^2\)

Now, we have the area of the surface produced around the curve \(x = \dfrac{1}{5}y^3\) through the y axis from the region y = 0 to y = 1

∴

\(= \int ^1_0 2 \pi \dfrac{1}{5}y^3 \sqrt{1 + (\dfrac{3}{5}y^2)^2} \ dy\)

\(= \dfrac{ 2 \pi}{5} \int ^1_0 y^3 \sqrt{1 + \dfrac{9}{25}y^4} \ dy\)

\(= \dfrac{ 2 \pi}{5} \int ^1_0 y^3 \sqrt{ \dfrac{25+9y^4}{25}} \ dy\)

\(= \dfrac{ 2 \pi}{5} \int ^1_0 y^3 \dfrac{\sqrt{25+9y^4}}{5}} \ dy\)

\(= \dfrac{ 2 \pi}{25} \int ^1_0 y^3 \sqrt{25+9y^4}} \ dy\)

Let make \(u = \sqrt{25+9y^4}\)

It implies that:

\(u^3 = (25+9y^4)\sqrt{25+9y^4}\)

\(u = \sqrt{25+9y^4} \\\\ du = \dfrac{1}{2\sqrt{25 +9y^4}}(36y^3) \ dy\)

\(du = \dfrac{18y^3}{\sqrt{25 +9y^4}}\ dy\)

\(y^3dy = \dfrac{1}{18}\sqrt{25+9y^4} \ du\)

when y = 0 ;

\(u = \sqrt{25+ 9(0)^4}\)

\(u = \sqrt{25}\)

u = 5

when y = 1;

\(u = \sqrt{25+ 9(1)^4}\)

\(u = \sqrt{25+9}\)

\(u = \sqrt{34}\)

∴

The equation \(\dfrac{ 2 \pi}{25} \int ^1_0 y^3 \sqrt{25+9y^4}} \ dy\) can be written as:

\(= \dfrac{2 \pi}{25} \int ^{\sqrt{34}}_{5} (u ) \dfrac{1}{18} \ udu\)

\(= \dfrac{2 \pi}{25\times 18} \int ^{\sqrt{34}}_{5} (u ) \ udu\)

\(= \dfrac{\pi}{225} \int ^{\sqrt{34}}_{5} (u^2 ) \ udu\)

\(= \dfrac{\pi}{225}\Big[ \dfrac{u^3}{3} \Big] ^{\sqrt{34}}_{3}\\\)

\(\mathbf{= \dfrac{\pi}{675}\Big[ 34\sqrt{34} -125\Big] }\)

Answer:

Step-by-step explanation:

equation

area(base1 + base2)

Answer:

$37,500

Step-by-step explanation:

Expected value is the sum of the outcomes times their probability.

E(X) = (-2500) (1) + (1,000,000) (0.04)

E(X) = 37,500

Another way of calculating it:

E(X) = (-2500+0) (0.96) + (-2500+1,000,000) (0.04)

E(X) = 37,500

Considering the expression of a line, they do not have the same value of m. So, the two lines are not parallel.

A linear equation o line can be expressed in the form y = mx + b

where

Knowing two points (x1, y1) and (x2, y2) of a line, the slope m of said line can be calculated using the following expression:

m= (y2 - y1)÷ (x2 - x1)

Substituting the value of the slope m and the value of one of the points in the expression of a linear equation, y = mx + b, the value of the ordinate to the origin b can be obtained.

Parallel lines are two lines that are always at the same distance from each other and that prolonged towards infinity never touch.

Two lines are parallel if they have the same slope and different y-intercepts. That is, they have the same value of m and different value of b.

In this case, you can calculated the slope of the two lines as:

Being (x1,y1)= (-3,2) and (x2,y2)= (4, -1), the slope m can be calculated as:

m= (-1 -2)÷ (4 - (-3))

Solving:

m= (-3)÷ 7

m= -3/7

Being (x1,y1)= (1,3) and (x2,y2)= (-2,-4), the slope m can be calculated as:

m= (-4 -3)÷ (-2 -1)

Solving:

m= (-7)÷ (-3)

m= 7/3

You can observe that they do not have the same value of m. Finally, the two lines are not parallel.

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\(\begin{cases} -x+3y=9\\\\ y=\cfrac{2}{3}x \end{cases} \\\\[-0.35em] ~\dotfill\\\\ -x+3y=9\implies 3y=9+x\implies \underline{3y-9=x} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{substituting ont the 2nd equation}}{y=\cfrac{2}{3}(\underline{3y-9})\implies 3y=2(3y-9)}\implies 3y=6y-18\implies 18+3y=6y \\\\\\ 18=3y\implies \cfrac{18}{3}=y\implies \boxed{6=y}\)

Answer:

The height is 1.25m.

Step-by-step explanation:

Volume = 1/3 πr²h

Given:

V = 13.4 m³

r = 3.2 m

Asked: height (h)

Substitute the formula with the given values then solve

13.4m³ = 1/3π(3.2m)²h

13.4(3) = 10.24πh

40.2 = 10.24πh

h = 40.2/10.24π

h = 1.25m

The height of the cone is 1.25 meters.

We know that the volume of the cone is given by

V = (1 / 3) * π * r ^2 * h................equation 1

where,

V is the volume of the cone.

r is the radius of the cone's base

h is the height

The volume and radius of the cone are given,

V = 13.4 m

r = 3.2m

substituting these values in equation 1 we get,

13.4 = (1 / 3) * 3.14 * 3.2 ^ 2 * h

on simplifying further

13.4 = 10.717  * h

h = 1.25m

The height of the cone is 1.25 meters.

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Temperature during the day = 5.4 C

After sunset drops = 7.5 C

5.4 - 7.5 = -2.1 C

Wind chill drops 6.3 C

-2.1 - 6.3 = -8.4°C

Answer:

0

Step-by-step explanation:

The solution is given below.

A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.

here, we have,

from the given chart we get,

the solution is attached below.

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Using the law of detachment and the law of syllogism,

We can conclude that Sally is too heavy for the bridge, but we cannot conclude that she can cross the bridge.

We have,

Using the law of detachment, we can conclude from statements 1 and statement 3:

If something weighs more than 2,000 pounds, then it weighs more than Jill's car. (Statement 1)

Sally the elephant weighs 2,325 pounds. (Statement 3)

Therefore, Sally weighs more than Jill's car.

Using the law of syllogism, we can then use the conclusion above and statement 2 to conclude:

Sally weighs more than Jill's car.

If something weighs more than Jill's car, then it is too heavy for the bridge. (Statement 2)

Therefore, Sally is too heavy for the bridge.

Therefore,

We can conclude that Sally is too heavy for the bridge, but we cannot conclude that she can cross the bridge.

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The linear equation of the line is slope =-1/5 and point is 10,2

The slope is given as:

m = -1/5

The point is given as:

10,2

A linear equation in slope intercept form is represented as:

y = m + p

So, we have:

y is intercept

mx is slope

p is point

y = -1/5x - 10

Add 10 to both sides

y + 10 = -1/5x

Express -1/5x as -1/5(x)

y + 10 = -1/5(x)

Subtract 0 from x

y + 10 = -1/5(x - 0)

Hence, the linear equation of the line is y = -1/5x - 10 and y + 10 = -1/5(x - 0)

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Answer:

Best for choice for the first number to subtract = 500

Step-by-step explanation:

The dividend is 673 while the divisor is 25

First step is to subtract from the dividend an easy multiple like 100 times the divisor,20 times the divisor, 10 times the divisor, 5 times the divisor 2 times the divisor etc.

The best choice for the first number to subtract will be 20 times the divisor because when we multiply 20 by 25 and subtract from 673,we will get 173. And the next quotient will be 6 which is in units as the first one of 20 was in tens.

Best choice to subtract = 20 × 25 = 500

Answer: 500

Step-by-step explanation:

The theme is the underlying message, lesson, or central idea conveyed by the narrative or story.

Both a narrative and a story share several common elements that contribute to their structure and presentation. These elements include characters, setting, plot, conflict, and theme.

Characters are essential components of both narratives and stories. They are the individuals or entities that drive the events and experiences within the narrative or story. The setting is the time and place in which the events occur and provide the context for the story.

The plot refers to the sequence of events that unfold and create a structure for the narrative or story. Conflict represents the central problem or challenge faced by the characters and is often a driving force behind the plot's progression.

These shared elements create a framework for both narratives and stories, enabling the development and communication of experiences, ideas, and emotions to the audience. They contribute to the engagement, coherence, and impact of the narrative or story, regardless of the medium or genre in which they are presented.

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Answer:

h = √72 in.

Step-by-step explanation:

Height of the cone using pythagorean theorem, a² + b² = c², where:

a = h

b = ½(6) = 3 in.

c = 9 in.

Plug in the values

h² + 3² = 9²

h² + 9 = 81

h² + 9 - 9 = 81 - 9

h² = 72

h = √72

Answer:

he is wrong becuase 89 times a number greater than 0 cannot result in a product greater than the number

Step-by-step explanation:

Based on real algebra properties, we know that the product of  8/9 and 2 and 3/4 is not 3 and 1/4.

The multiplication of two positive integers equals another positive integer. Each term of a multiplication can be rewritten as sums of multiples of 10, which can be simplified by algebra:

  Given;   Definition of multiplication

 8/9 and 2  = 26/9

3/4

The product is;

26/9 x 3/4

= 13 x 1/6

= 13/6

Based on real algebra properties, we know that the product of  8/9 and 2 and 3/4 is not 3 and 1/4.

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Answer:

x times y is 6

This is the simplest one

Step-by-step explanation:

x=3 and y=2

Answer:

(3,4)

Step-by-step explanation:

so domain is the x value and range is the y value so to find the domain it is

(3,4)

Hope that helps :)

Answer:

  x ≈ 2.09590327429

Step-by-step explanation:

You want the solution to 3^x = 10 using logarithms.

Taking logarithms of both sides of the given equation, we have ...

  x·log(3) = log(10)

Dividing by the coefficient of x gives ...

  x = log(10)/log(3)

  x ≈ 2.09590327429

__

Additional comment

If the logarithm to the base 10 is used, then this becomes ...

  x = 1/log₁₀(3)

The meaning of "log( )" varies with the context. In high-school algebra, it usually means "log₁₀( )". In other contexts, it may mean "ln( )", the natural logarithm.

For the purpose here, it doesn't matter what base the logarithms have, as long as log(10) and log(3) are to the same base.

<95141404393>

The approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.

To evaluate the equation 3^x = 10 using logarithms, we can take the logarithm of both sides of the equation. The most commonly used logarithm is the base 10 logarithm, also known as the common logarithm (log).

Taking the log of both sides, we get:

log(3^x) = log(10)

Now, we can apply the logarithmic property that states log(a^b) = b * log(a). Applying this property to the left side of the equation:

x * log(3) = log(10)

Next, we can divide both sides of the equation by log(3) to isolate the variable x:

x = log(10) / log(3)

Using a calculator, we can evaluate the right side of the equation:

x ≈ 1.46497

Therefore, the approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.

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