A line passes through (-2,5) and has slope 1/3. what is an equation of the line in point-slope form?​

Answer:

He started with $190

Answer:

190

Step-by-step explanation:

because $70 + $120 gives us $190 of how we got the answer is before he spending the 70$ he had $190.

Answer:

60%

Step-by-step explanation:

The member of females before they leave the team is 16. If 4 leave the team, then it is 12. Hence, the current amount of members if 30. 18 divided by 30 equals 0.6, which makes 60%.

Answer:

5 and a half

Step-by-step explanation:

Because you can fit 2 liters in each can, to find how many you would need, divide 11 by 2, this would give you 5 and a half, 5.5.

It could be that they want you to round up to six or round down to five, so do consider that.

The sale price of the car as a percentage of the original price is 142%

Sale price as a percentage of the original price = sale price / buying price

= 1280/900 × 100

= 1.42222222222222 × 100

= 142.22%

Approximately,

142%

Learn more about percentage:

https://brainly.com/question/843074

#SPJ1

We are given the following inequality

Let's first consider and solve the equation

This means, for our inequality, x cannot be equal to 3, for if it were equal to 3 the inequality would be false.

Option C. is the correct answer.

There are 5 full square and 6 triangles that are half squares.

      5 + (6)(1/2) = 5 + 3 = 8

You could also break this into smaller shapes (like a big triangle on the top and a smaller triangle and rectangle on the bottom and use area formulas to calculate the area.  But counting works well in this example.

Answer: 8

Step-by-step explanation:

First you split up this shape into two different shapes, a triangle and trapezoid

Put a line through the coordinates (-2,2) to  (-1,2); the top is a triangle and the other is a trapezoid

Area of the trapezoid is A = .5x (base1 + base2) x height

base1 of the trapezoid goes from -4 to -1 which is 3

base2 goes from -2 to -1 which is 1

height is 0 to 2 whcich is 2

A = .5 x (3+1) x 2 = 4

Now area of a triangle is A = .5 x base x height

the base goes from -2 to 2 which is 4

the height goes from 2 to 4 which is 2

A = .5 x (4) x (2) = 4

Area of the Trapezoid + Area of the Triangle = Total Area

4 + 4 = 8

The width point highway is \(2x^{3} + 5x^{2} +118\)

To determine the width of the highway between the two buildings, we need to subtract the distances of the buildings from the highway from the total distance between the buildings.

Let's denote the distance between the buildings as "d," the distance of the first building from the highway as "a," and the distance of the second building from the highway as "b."

To find the width of the highway, we subtract the distances of the buildings from the total distance:

Width of the highway = (3x^3 - x^2 + 7x + 100) - (2x^2 + 7x) - (x^3 + 2x^2 - 18)

Simplifying the expression, we combine like terms:

Width of the highway = \(3x^3 - x^2 + 7x + 100 - 2x^2 - 7x - x^3 - 2x^2 + 18\)

Combining like terms further:

Width of the highway = (3x^3 - x^3) + (-x^2 - 2x^2 - 2x^2) + (7x - 7x) + (100 + 18)

Simplifying again:

Width of the highway = 2x^3 - 5x^2 + 100 + 18

Combining the constant terms:

Width of the highway = 2x^3 - 5x^2 + 118

For such more question on width:

https://brainly.com/question/15161439

#SPJ8

The following question may be like this:

Two buildings on opposites sides of a highway are 3x^3- x^2 + 7x +100 feet apart. One building is 2x^2 + 7x feet from the highway. The other building is x^3 + 2x^2 - 18 feet from the highway. What is the standard form of the polynomial representing the width of the highway between the two building

Answer:

B

Step-by-step explanation:

4*4*4=64

(x^5)*3=x^15

y^3

Therefore, the surface represented by the given equation is a sphere centered at the origin with a radius of 6 units.

The given equation rho^2(sin^2(φ)sin^2(θ) + cos^2(φ)) = 36 represents a surface in spherical coordinates. Let's break down the equation to identify the surface:

ρ^2(sin^2(φ)sin^2(θ) + cos^2(φ)) = 36

Here, ρ represents the radial distance, φ is the polar angle, and θ is the azimuthal angle.

By analyzing the equation, we can see that it combines both the azimuthal and polar angles. The terms sin^2(φ)sin^2(θ) and cos^2(φ) involve both angles.

The equation ρ^2(sin^2(φ)sin^2(θ) + cos^2(φ)) = 36 describes a sphere centered at the origin with a radius of 6 units. The constant value of 36 indicates that the squared radial distance from the origin to any point on the surface is 36.

To know more about surface,

https://brainly.com/question/32287159

#SPJ11

The type of sampling technique that has advantage of a built-in assurance of which the sample accurately reflects the numerical compositions of various strata is called: stratified sampling.

Stratified sampling is a sampling technique that involves dividing a population into strata. The strata are composed of each member's shared attributes or characteristics.

Thus, the type of sampling technique that has advantage of a built-in assurance of which the sample accurately reflects the numerical compositions of various strata is called: stratified sampling.

Learn more about stratified sampling on:

https://brainly.com/question/16587013

The value of x in the figure is 5√3.

What is the trigonometry?

Trigonometry is the study of angles and the angular relationships between planar and three-dimensional shapes. The cosecant, cosine, cotangent, secant, sine, and tangent are among the trigonometric functions (also known as the circle functions) that make up trigonometry.

What does cos 30 mean?

The trigonometric function "Cosine" is denoted by the notation "Cos." The definition of cosine is the ratio of a right-angle triangle's hypotenuse to base length (the longest and slant side). Cos (x), where x is the angle formed by the two sides, equals base/hypotenuse, or b/h.

What is the formula of Cos 30?

Cos 30° = √3/2

3/2 is the value of Cos 30°, which is a trigonometric ratio or trigonometric function of a specific angle. The exact value of cos 30 degrees is expressed as 0.8660 roughly.

Cos 30°= b/h

√3/2 = x/10

X= √3/2 × 10

X= 5√3

To know more about trigonometry:

https://brainly.com/question/22986150

#SPJ1

The result of simplifying each number 64²/₃ 64²/₃  using the exponent rules is 256

To solve this exercise we have to resolve algebraic operations following the exponent rules.

64²/₃ * 64²/₃

The base number 64 is the same that: 4³, then we get:

(4)³ ⁽²/₃⁾ * (4)³ ⁽²/₃⁾

Using the power of a power rule that indicates that: the exponent result will be the multiplication of these exponents, we have:

4⁽³*²/³⁾ * 4⁽³*²/³⁾

4⁽⁶/³⁾ * 4⁽⁶/³⁾

(4)² * (4)²

Using the product rule that indicates that: the exponent result will be the addition of these exponents, we have:

4⁽²⁺²⁾

4⁴

4*4*4*4

256

In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.

Example: 3² = 3*3 = 9

Learn more about exponent at: brainly.com/question/847241

#SPJ4

Answer:

integers

Step-by-step explanation:

because integers are always in decimal form

Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

On simplifying the equation (x + 10)² = 256 the dimensions of the original photo is obtained as 6 inches by 6 inches.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

The measure of side of original square photo is x.

The square photo is enlarged by adding 10 inches to it = x + 10

The area of the enlarged square photo is 256 in².

The formula for area of a square is = (side)²

So, the equation to find the side of original photo is -

(x + 10)² = 256

Apply the formula (a + b)² = (a² + 2ab + b²) on the left hand side -

x² + 20x + 100 = 256

x² + 20x + 100 - 256 = 0

x² + 20x - 156 = 0

Factorize the quadratic equation to find the value of x -

x² + 20x - 156 = 0

x² + 26x - 6x - 156 = 0

x(x + 26) - 6(x + 26) = 0

(x + 26) (x - 6)

x = -26, x = 6

Since the side of the square photo cannot be negative, so x = 6 is the correct answer.

The sides of the square are same.

Therefore, the original photo had measurements 6 inches by 6 inches.

To learn more about equation from the given link

brainly.com/question/28196676

#SPJ1

Procedure:

0.

Answer in interval notation: [1, ∞)

2.

Answer in interval notation: [-2, ∞)

Final answer:

Summary:

0. We isolated ,x ,from the inequality by subtracting, multiplying, and dividing different numbers.

1. We translated that inequality to interval notation

Answer:

f(-2) = -28

Step-by-step explanation:

f(x) = 12x-4

Let x = -2

f(-2) = 12(-2) -4

Multiply

    = -24-4

Add

  = -28

These cycles are known as the eccentricity cycles, and they are one of the factors that contribute to the long-term climate variations on Earth

The aspect of Earth's orbital relationship to the Sun that varies with a periodicity of both 400 Ka and 100 Ka is the eccentricity of Earth's orbit. The eccentricity refers to the shape of Earth's orbit around the Sun, which is not a perfect circle, but an ellipse. The eccentricity of Earth's orbit changes over time due to gravitational interactions with other planets, particularly Jupiter and Saturn. When Earth's orbit is more elliptical, its distance from the Sun varies more throughout the year, leading to variations in climate and the amount of solar radiation received on Earth's surface. The periodicity of 400 Ka corresponds to a cycle of variations in Earth's eccentricity that affects the amount of solar radiation received at different latitudes and the distribution of ice ages. The periodicity of 100 Ka corresponds to a cycle of variations in Earth's eccentricity that affects the intensity of the seasons and the distribution of glacial periods. These cycles are known as the eccentricity cycles, and they are one of the factors that contribute to the long-term climate variations on Earth.

To learn more about distribution visit:

https://brainly.com/question/29062095

#SPJ11

Answer:

He saves $1.95. Instead of paying $19.50, He pays $17.55

Step-by-step explanation:

$19.50 ×10/100 = $1.95

That is the discount of the jeans. Taking

$19.50 - $1.95 = $17.55

Answer:

For example if the three points are A, B and C in your diagram then there are infinitely many planes that contain the points. The final point is that if the three points do not lie on a line then there is exactly one plane that contains the points.

Step-by-step explanation:

Lets say the final price of the bike is SP plus 13% VAT. So:

1.13 * SP = 6356.25

SP = 5625

Now SP was after 10% discount on Original Price, say MP. So:

0.9 * MP = 5625

MP = 6250

Therefore, the percent of Marked Price above Cost Price is:

(6250 - 5000) * 100/5000 = 25%

Approximately 95.44% of the data falls within ±2 standard deviations of the mean in a normal distribution.

To find the percentage of the area under the normal curve that falls between ±2 standard deviations, we need to follow the following steps:

We need to know the mean (μ) and standard deviation (σ) of the normal distribution in question. If we assume a standard normal distribution (i.e., a normal distribution with mean of 0 and standard deviation of 1), then we can use a z-score table to find the percentage of area under the curve.

The z-score formula is:

z = (x - μ) / σ

For ±2 standard deviations, the values of x are μ ± 2σ. Therefore, the z-scores are:

z = (μ + 2σ - μ) / σ = 2

z = (μ - 2σ - μ) / σ = -2

A z-score table gives the percentage of area under the standard normal curve that falls to the left of a given z-score. Since the normal distribution is symmetric, the percentage of area to the right of a negative z-score is the same as the percentage of area to the left of the corresponding positive z-score.

Using a z-score table, we find that the percentage of area under the standard normal curve that falls to the left of z = 2 is 0.9772, or 97.72%. Therefore, the percentage of area under the curve that falls between ±2 standard deviations is:

97.72% - (100% - 97.72%) = 95.44%

This means that approximately 95.44% of the data falls within ±2 standard deviations of the mean in a normal distribution.

Learn more about Standard deviations

brainly.com/question/23907081

#SPJ11

Answer:

\(\large \boxed{\displaystyle y = \frac{1}{5} x + 2}\)

\(\large \boxed{\displaystyle y = x - \frac{1}{4}}\)

\(\large \boxed{y=-2x+4}\)

Step-by-step explanation:

\(5y - x = 10\)

Add x to both sides

\(5y = x + 10\)

Divide both sides by 5

\(\displaystyle y = \frac{1}{5} x + 2\)

\(-4y + 4x = 1\)

Subtract 4x from both sides

\(-4y = -4x + 1\)

Divide both sides by -4

\(\displaystyle y = x - \frac{1}{4}\)

\(3y+6x=12\)

Subtract 6x from both sides

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

Divide both sides by 3

\(y=-2x+4\)

Answer: no alike terms

Step-by-step explanation:

6x+12+3x+21+88

Combine Like Terms:

=6x+12+3x+21+88

=(6x+3x)+(12+21+88)

=9x+121

Answer:

=9x+121

The minimum sample size needed is 93.

Given:

A political researcher takes a survey of 300 randomly selected registered voters in atlanta, and each person was asked who they plan on voting for in the 2020 mayoral election. 101 said they plan on voting for candidate a, 184 said they plan on voting for candidate b, and 15 were unsure or plan to vote for another candidate. In question 8, the political researcher estimated p, the population proportion of all registered voters in atlanta who plan to vote for candidate a, with a 95% confidence interval. The researcher now wants to estimate p with a margin of error of 3%.

here

n = 101

p = 0.5

e = 5%=0.05

z score at 95% = 1.96

\(n'=\frac{n}{1+\frac{z^2*p(1-p)}{e^2} }\)

On submitting and solving using calculator

n = 93

Learn more about the sample size here:

https://brainly.com/question/28044641

#SPJ1

The value of test statistic is  -1.14

Define Standard error.

The standard error (SE)of a statistic (usually an estimate of a parameter) is the standard deviation of its sampling distribution or an estimate of that standard deviation. If the statistic is the sample mean, it is called the standard error of the mean (SEM).

Null Hypothesis

P = 0.54

Alternate Hypothesis

P < 0.54

For 0.05 level , the value of Z = 1.645

Decision rule ,

reject null Hypothesis if test statistic Z < -1.645

sample size (n) = 200

sample success (x) = 100

Standard error SE = √(p * (1 - p) / n

                         = √0.54 * (1 - 0.54) / 200

Standard error SE= 0.0352

Sample proportion (р)  = x/n

                               = 100 / 200 ⇒ 0.5

test statistic  Z = (р - P) / SE

                         = (0.5 - 0.54) / 0.0352

test statistic  Z = -1.136 or -1.14

Therefore, the value of test statistic is  -1.14

To read more about Standard error.

https://brainly.com/question/1191244

#SPJ4

The measure of length PQ will be 22 units.

A triangle's third side is stated to be parallel to the line segment uniting its two midpoints, and it is also half as long as the third side.

Given:

PQ = 5x + 62, and MN = 6x-4

Now, using Mid- Point Theorem

PQ= 1/2 MN

-5x+ 62 = 1/2( 6x - 4)

-5x+ 62 = 3x - 2

-5x- 3x = -2 - 62

-8x = -64

x= 8

PQ= 5x+ 62 = -5(8) + 62 = -40 + 62 = 22

Hence, the measure of PQ is 22 units.

The missing image is attached below.

Learn more about the midpoint theorem here:

brainly.com/question/13677972

#SPJ1