Solve the system by graphing
{y=5x-8}
{y=-3x+8

Answer:

Step-by-step explanation:

Area of a triangle: .5(b*h)

which means that

.5(4(x-1)*(2x+5))=30

mulitply the two equations

(4x-4)(2x+5) = 8x²+12x-20

distribute the 1/2

.5(8x²+12x-20)

4x²+6x-10 = 30

divide both sides by 2

2x²+3x-5= 15

move everything to one side

2x²+3x-20=0

not sure if you need to solve it but x= 2.5 or x= -4

option a-0.2816. To find the probability that Judy will answer exactly 3 questions correctly, we can use the binomial probability formula. In this case, the number of trials is 10 (since there are 10 questions), the probability of success is 1/4 (since there is only one correct answer out of 4 possible choices), and we want to find the probability of getting exactly 3 successes.

The binomial probability formula is:
P(X=k) = (n choose k) * p^k * (1-p)^(n-k)

Where:
- P(X=k) is the probability of getting exactly k successes
- (n choose k) represents the number of ways to choose k items out of n items
- p is the probability of success on a single trial
- k is the number of successes
- n is the number of trials

Using this formula, we can calculate the probability as follows:

P(X=3) = (10 choose 3) * (1/4)^3 * (3/4)^(10-3)

(10 choose 3) = 10! / (3! * (10-3)!)
= 10! / (3! * 7!)
= (10 * 9 * 8) / (3 * 2 * 1)
= 120

Now we can substitute the values into the formula:

P(X=3) = 120 * (1/4)^3 * (3/4)^(10-3)
= 120 * (1/64) * (3/4)^7
= 120 * (1/64) * (2187/16384)
= 0.2816

Therefore, the probability that Judy will answer exactly 3 questions correctly is 0.2816.

The correct answer is option a-0.2816.

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Answer:

c and a

Step-by-step explanation:

Answer: i

Step-by-step explanation:im pretty sure

Answer:

103/25

Step-by-step explanation:

103/25

Hope I helped!

Answer:

130/25

Step-by-step explanation:

hope this helps

Answer:

127°

Step-by-step explanation:

171+62+127=360

Answer:

x=127°

Step-by-step explanation:

x+171° +62=360°

x=360°-(171°+62°)

x=127°

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

2×3=6

Have a nice day!

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What is Vector field?

A vector field is a function that associates a vector to every point in a given space, commonly used in calculus and physics to model physical phenomena.

According toh the given information:

To sketch the vector field F(x, y) = (\(Y_{i} +X_{j}\))/ sqrt(x² + y²), we can first analyze the behavior of the vector field at various points in the xy-plane.

Let's consider a few points:

1) At the origin (0,0), the denominator of the expression for F is undefined, so the vector field is not defined at this point.

2) Along the x-axis (y = 0), F(x,0) = xj / |x|, which means that the vectors point horizontally to the left for negative values of x and horizontally to the right for positive values of x.

3) Along the y-axis (x = 0), F(0,y) = yi / |y|, which means that the vectors point vertically upwards for positive values of y and vertically downwards for negative values of y.

4) At points away from the origin, we can analyze the direction of the vectors by considering the value of the expression \(Y_{i} +X_{j}\) . If y is positive, then the vector will point upwards (in the positive y direction) and if y is negative, the vector will point downwards (in the negative y direction). Similarly, if x is positive, the vector will point towards the right (in the positive x direction) and if x is negative, the vector will point towards the left (in the negative x direction). The magnitude of the vectors decreases as we move away from the origin, because the denominator of the expression for F increases.

Based on this analysis, we can sketch the vector field.

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Using the vector end points the slope of the vector field is plotted.

The steps below are used to create a vector field:

a) Convert the supplied function to vector notation (also known as vector components form).

b) Define some arbitrary vector space points.

c) Apply the provided function to each of these points to determine the vector values.

d) Assess the arbitrary points as the absolute starting position and the arbitrary points plus vector values as the absolute finishing point.

Draw each of the aforementioned vectors such that it begins at the aforementioned starting point and finishes at the aforementioned computed finishing point.

For the given vector field we evaluate the function at different coordinates such as (0, 1), (0, -1), (1, 0), (-1, 0).

For f(0, 1) we have <1, 1>

For (1, 0) = <1, 1>

For (-1, 0) = <-1, -1>

Using the vector end points the slope of the vector field is plotted.

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SSS congruence rules states that if three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent.

The SSS (Side-Side-Side) congruence rule states that if three sides of one triangle are equal to the three sides of another triangle, equal, and the two triangles share the same dimensions then the two triangles are congruent. This means that all of the angles and sides of the two triangles are In order for two triangles to be congruent according to the SSS congruence rule, the lengths of the three corresponding sides of the two triangles must be equal. If all three of these conditions are met, then the two triangles are congruent and can be used to solve a variety of geometric problems.

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The SSS congruence rule is rule that is used to prove two triangles congruent . Its full form is Side-Side-Side Congruence .

The Two Triangles can be called as  Congruent Triangles if their sides have same length and the angles also have the same measure.

One of the 4 rules in proving the triangles congruent is SSS .

The SSS Congruence Rules also called as (Side-Side-Side) Rule means that if all the three sides of one triangle are equal to the corresponding three sides in the other triangle ,

then we can say that the two triangles are congruent by SSS (Side-Side-Side) Rule .

Therefore , The SSS Congruence rule means Side-Side-Side Congruence .

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Answer:

b = 100.9 cm

Step-by-step explanation:

a / A = 42.8 / 34.5 = 1.24

B x 1.24 = b

81.4 x 1.24 = 100.9

Answer:

do you have a picture of the triangle if not where are these points on the triangle

Hello!

surface area

= 2(6*2) + 2(4*2) + 4*6

= 2*12 + 2*8 + 24

= 24 + 16 + 24

= 64 square inches

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Answer:

he process of changing light into stored chemical energy in the form of sugars

Step-by-step explanation:

The process in which light energy is converted to chemical energy in the form of sugars is correct.

Option (B) is correct.

What is the definition of photosynthesis?

Photosynthesis is the process by which green plants, algae and some forms of bacteria use energy from sunlight to convert carbon dioxide and water into glucose.

Given that:

Photosynthesis is the process in which light energy is converted to chemical energy in the form of sugars. In a process driven by light energy, glucose molecules (or other sugars) are constructed from water and carbon dioxide, and oxygen is released as a byproduct.

Photosynthesis is the process by which plants use sunlight, water, and carbon dioxide to create oxygen and energy in the form of sugar. 5 - 8

So, the process in which light energy is converted to chemical energy in the form of sugars is correct.

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Answer:

\(f'(x)= \frac{13}{(2x+3)^2}\\\)

Step-by-step explanation:

\(f(x)= \frac{3x-2}{2x+3} \\\)

\(f'(x)=\frac{dy}{dx} = \frac{d}{dx}(\frac{3x-2}{2x+3})\\ f'(x)= \frac{(2x+3)\frac{d}{dx}(3x-2)-(3x-2)\frac{d}{dx}(2x+3) }{(2x+3)^{2} } \\f'(x)= \frac{(2x+3)(3)-(3x-2)(2)}{(2x+3)^{2} } \\\)

\(f'(x)= \frac{6x+9-6x+4}{(2x+3)^{2} }\\ f'(x)= \frac{13}{(2x+3)^2}\\\)

When a man on top of a building sees a car approaching him and as the car moves 100 ft closer, the angle of depression changes from 15 to 33 degrees, the height of the building is 159.8 feet.

To solve the problem, we can use the tangent function. Let x be the distance between the man and the building, then we have:

tan(15) = h / x ...........(1) and tan(33) = h / (x - 100) ...........(2)

Dividing (2) by (1), we get:

tan(33) / tan(15) = (x - 100) / x

Simplifying the expression, we have:

(x - 100) / x = 2.22

Solving for x, we get:

x = 100 / 1.22 ≈ 81.97

Using equation (1), we can solve for the height of the building:

h = x * tan(15)

h ≈ 159.8

Therefore, the height of the building is approximately 159.8 feet.

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Answer:

(0,-2)

Step-by-step explanation:

The y axis is the axis that is up and down

The y intercept or where it cuts the y axis is at the point -2

The x value is 0 and the y value is -2

The y intercept is (0,-2)

Answer:

it's 0,-2

Step-by-step explanation:

Look where it touches the y axis (going up and down)

Answer:

It is 8.1 × 10^-7

Step-by-step explanation:

\( {(9 \times {10}^{ - 4} )}^{2} \\ = \{{9}^{2} \times {10}^{( - 4 \times 2)} \} \\ = 81 \times {10}^{ - 8} \\ = 8.1 \times {10}^{ - 7} \)

☆Concept:-

The Question is based on the law of exponents .

The law to be used in this question is

\(\boxed{\sf a^m\times a^n=a^{m+n}}\)

Solution:-

\(\\ \tt\longmapsto (9\times 10^{-4})^2\)

\(\\ \tt\longmapsto 9^2\times 10^{-4(2)}\)

\(\\ \tt\longmapsto 81\times 10^{-8}\)

\(\\ \tt\longmapsto 8.1\times 10^{-7}\)

Answer:

Adult tickets = $60

Children tickets = $123

Step-by-step explanation:

Let x represent the adult tickets sold

Let y represent the children tickets sold

x + y = 183......equation 1

5x + 2y= 546........equation 2

Multiply equation 1 by 5 and equation 2 by 1

5x + 5y = 915

-

5x + 2y= 546

3y = 369

y= 369/3

y= 123

Substitute 123 for y in equation 1

x + 123= 183

x= 183-123

x= 60

Hence the price of adult tickets sold is $60 and the price of children tickets sold is $123

Answer:

The number is 72

Step-by-step explanation:

2/3*27 = 2*9 = 18

so 18 = 25%

25% = 1/4

so 1/4 = 18/?

so ? = 18*4 = 72

Answer:

x=72

Step-by-step explanation:

This is an easy equation.

2/3*27=25/100x

solve.

2/3 * 27 is 18

18=25/100x

Divide. (25/100 can be converted to 1/4

Divide 18 by 1/4x

x=72!

Cheers, I hope you can understand.

Answer:

B) 3x-6y

Step-by-step explanation:

2x+x=3x

5y+y=6y

3x-6y

Answer:

A) 3x - 4y

(2x - 5y) + (x + y)

=> 2x - 5y + x + y

=> 2x + x - 5y + y ------(arranging the like terms together)

=> 3x - 4y

The natural breaks, quantile, and equal interval classification schemes are methods used to categorize data for the purpose of creating thematic maps. Each scheme has its own approach and considerations: Natural Breaks, Quantile, Equal Interval.

Natural Breaks (Jenks): This classification scheme aims to identify natural groupings or breakpoints in the data. It seeks to minimize the variance within each group while maximizing the variance between groups. Natural breaks are determined by analyzing the distribution of the data and identifying points where significant gaps or changes occur. This method is useful for data that exhibits distinct clusters or patterns.

Quantile (Equal Count): The quantile classification scheme divides the data into equal-sized classes based on the number of data values. It ensures that an equal number of observations fall into each class. This approach is beneficial when the goal is to have an equal representation of data points in each category. Quantiles are useful for data that is evenly distributed and when maintaining an equal sample size in each class is important.

Equal Interval: In the equal interval classification scheme, the range of the data is divided into equal intervals, and data values are assigned to the corresponding interval. This method is straightforward and creates classes of equal width. It is useful when the range of values is important to represent accurately. However, it may not account for data distribution or variations in density.

In summary, the natural breaks scheme focuses on identifying natural groupings, the quantile scheme ensures an equal representation of data in each class, and the equal interval scheme creates classes of equal width based on the range of values. The choice of classification scheme depends on the nature of the data and the desired representation in the thematic map.

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14 ft to 21 ft = 2 ft to 3 ft

Answer:

x = 15°

Step-by-step explanation:

the inscribed angle APB is half the measure of the central angle AOB , so

x = \(\frac{1}{2}\) × 30° = 15°

Answer:

( 5x-9) (5x+9)

Step-by-step explanation:

25 x^2 - 81

Rewriting

(5x)^2 -9^2

This is the difference of squares

a^2 -b^2 = ( a-b)(a+b)

(5x)^2 -9^2 = ( 5x-9) (5x+9)

25x^2 -81

Write the number in the exponential form with an exponent of 2

5^2 x^2 -81

Write the number in the exponential form with an exponent of 2

5^2 x^2 -9^2

Multiply the terms with equal exponents by multiplying their bases

(5x)^2 -9^2

Using a^2-b^2=(a-b)(a+b), factor the expression

(5x-9)× (5x+9)

Answer: (5x-9)×(5x+9)

PLEASE GIVE ME BRAINLIEST ANSWER

Answer:

looking at it I think B is P from another angle

Answer:

x = 9

Step-by-step explanation:

i think this is right sry if its not

The conversion of a fraction number with denominator 5 and numerator 2 , 2/5 in decimals is equals to the 0.4 value.

A decimal number can be defined as a number whose whole number part and fractional part are separated by a decimal point. Writing 2/5 as a decimal number by converting the denominator to powers of 10. We multiply the numerator and denominator by a number so that the denominator is a power of 10.

2/5 = (2 × 2) / (5 × 2) = 4/10

Now move the decimal point to the left as many places as there are zeros in the denominator, which is a power of 10.

The decimal moved one place to the left because the denominator was 10. Therefore, 4/10 = 0.4. Hence, required value is 0.4.

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Answer:

sec

Step-by-step explanation:

1/cosin = sec or cosin^-1