Find the measure of LK:



LK= ______

Answer:

(-2,1)

Step-by-step explanation:

The solution of a system of equations is wherever the two lines intersect. So, this is quite easy. We can see they intersect at (-2,1). We can tell it is (-2,1) becuase it is two units left and one units up from the origin.

That is the solution.

(-2,1)

Answer:

The answer is (-2,1). Hope this helps :)

Step-by-step explanation:

Answer:

\(\boxed{\boxed{\sf 3}}\)

Step-by-step explanation:

\(\sf 2(2)+(-1)\)

Follow the PEMDAS order of operations:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

_________________________

\(\sf 2(2)+(-1)\)

1) Multiplication/Division:

Multiply 2* 2= 4

2) Addition/Subtraction:

Subtract 1 - 4 = 3:

__________________________________

Answer:

Think about the PEMDAS rules for order of operations.

Multiplication comes before addition or subtraction, so first we have "the product of a number and 5" - that's 5x. Then "six more" than that would be 5x + 6. "Equals" means the "=" sign, so the final answer is 5x + 6 = 8.

Answer:8

Step-by-step explanation:

Five blue marbles, two green marbles, and three red marbles are contained in a bag. The assertions are all true.

It is 9/23 * 8/22 * 7/21 * 6/20 likely that all four marbles are red. Total marble count is 23. (9 red, 7 white, and 7 blue). Without replacement, you wish to choose 4 marbles at random.

A) The odds of choosing a red marble are 3/10, whereas the odds of choosing a green marble are 2/10. Hence, claim A is accurate.

B) The odds of choosing a blue marble are 5/10, whereas the odds of choosing a red stone are 3/10. Thus, assertion B is accurate.

B) The odds of choosing a green marble are 2/10, which is reduced to 1/5. Hence, claim C is accurate.

D) The likelihood of choosing any red or green marbles = (3+2)/10, which can be expressed as 5/10. D is therefore true, as stated.

D) The likelihood of choosing the blue marble was 5/10, which can be expressed as 1/2. E is therefore true, as a result.

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The interval where function f(x) is negative and greater than 0 is (-∞, -3) U (-1.1, 0)

We have,

The function f(x) crosses the x-axis at (-3, 0), (-1.1, 0), and (0.9, 0), it means that f(x) is negative for x values less than -3, between -1.1 and 0.9, and greater than 0.

Therefore, we can say that:

f(x) < 0 for x < -3 and -1.1 < x < 0.9

And,

The function f(x) has a minimum value of (0, -3) and a maximum value of (-2.4, 17).

This means that f(x) is positive for x values greater than -2.4. Therefore, we can say that:

f(x) > 0 for x > -2.4

Now,

Combining these inequalities, we can say that f(x) is negative over the intervals (-∞, -3) and (-1.1, 0.9), and positive over the interval (-2.4, ∞).

So,

The interval where f(x) is negative and greater than 0 is:

(-∞, -3) U (-1.1, 0)

Thus,

The interval where f(x) is negative and greater than 0 is (-∞, -3) U (-1.1, 0)

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Answer:

1000 balls

(there are infinitely many solutions to this question; you can scale up 1000, use a different total, etc.)

Step-by-step explanation:

there are, of course, multiple possible numbers,

but the easiest way is to go with 1000, because we can say 375 / 1000 and 400 / 1000

(0.4 + 0.275 + 0.225 = 1)

400 out of 1000 balls are red (400/1000 = 4/10 = 0.4)

375 out of 1000 balls are green (375/1000 = 3.75/10 = 0.375)

225 out of 1000 balls are yellow (225/1000 = 2.25/10 = 0.225)

the question never gave detail as to if the answer should be the lowest number of possible balls, so this value is possible.

So, a possible number of balls in this bag is 1000.

Answer:

7x10^2

Step-by-step explanation:

So scientific notation involves two numbers: one is ten and the other ranges from 0 to 10. In this case your value would be 7 and to notate it so it is equal to 700 you would put 10 to the second power... hope this helps :)))

Answer:

(scientific notation)

= 7e2

(scientific e notation)

= 700 × 10⁰

(engineering notation)

(one)

= 700

(real number)

3 ¾

Step-by-step explanation:

-3½+4¼=-²/⁴ +17/4=15/4

3¾

Answer:

5/4 or 1 1/4

Step-by-step explanation:

-3 1/2 - (-4 1/4) multiply the number by the denominator and add the numerator: -3*2 = -6 + 1 = -5 same for the other...

-5/2 - (-15/4) now you need the same least common denominator...

-10/4 + 15/4

= 5/4 or 1 1/4

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

Answer:

It is most likely that, out of 25 online readers, between 12 and 13 work in the business industry.

Step-by-step explanation:

Answer:

There is about a 0.046 chance that 9 or fewer online readers work in the business industry. This is unusual and is convincing evidence that less than 50% of online readers work in the business industry.

Step-by-step explanation:

I just took the test, The other person is very wrong!!!

Answer:

1. 13x/760-13x

2. X = 29.23

3. X> 29.23

4. X<29.23

5. Max price = 29.23c

Step-by-step explanation:

1. D(x) = 760-13x

To get Elasticity, we differentiate the equation

D'x = -13

Elasticity is expressed as:

E(x) = -x*D'(x)/760-13x

= X(-13)/760-13x

\(\frac{-13x}{760-13x}\)

B. Price elasticity with demand = 1

13x/760-13x = 1

We cross multiply

13x = 1(760-13x)

13x = 760-13x

Collect like terms

26x = 760

X = 29.23

C. When elasticity of demand is elastic

13x/760-13x > 1

We cross multiply

13x > 1(760-13x)

13x > 760-13x

Collect like terms

26x > 760

X > 29.23

C. Greater than 29.23

D. When inelastic

This follows same solution as 2 and 3 but the sign is different.

E(x) <1

13x/760-13x < 1

We cross multiply

13x < 1(760-13x)

13x < 760-13x

Collect like terms

26x < 760

X < 29.23

B. less than 29.23

E. We get total revenue

X(760-13X)

= 760x - 13x²

We differentiate this

760-26x = 0

760 = 26x

X = 29.23

revenue is a maximum at price is 29.23c

f. The last question is incomplete

The transformations of f(x) are (a) a horizontal shrink by a factor of 1/4,

From the question, we have the following functions that can be used in our computation:

f(x) = x²

g(x) = (4x)²

Mathematically, these equations can be represented as

g(x) = f(4x)

The above equations implies that, we have the transformation to be:

The 4x implies that the function f(x) is horizontally shrunk by a factor of 1/4

Hence, the transformed function is (a)

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h(x) = f(x)g(x) represents the product of two functions, combining their behaviors into a new function.

In mathematics, the expression h(x) = f(x)g(x) represents the product of two functions, f(x) and g(x). When evaluating h(x) for a given value of x, it involves multiplying the corresponding values of f(x) and g(x).

The product of two functions allows for the combination of their individual behaviors and characteristics. The resulting function, h(x), inherits properties from both f(x) and g(x). The behavior of h(x) will depend on the specific functions involved.

For example, if f(x) represents a linear function and g(x) represents an exponential function, their product h(x) = f(x)g(x) will exhibit a combined behavior reflecting both linearity and exponential growth. The specific form of the functions will determine the precise behavior of h(x) and its graph.

It is important to note that the product of two functions assumes that the functions are defined for the given values of x and that the multiplication operation is valid for the corresponding function values.

h(x) = f(x)g(x) represents the product of two functions, combining their behaviors to form a new function. The specific nature of h(x) depends on the characteristics of f(x) and g(x).

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Answer:

A and C are the answer

Step-by-step explanation:

hope it helps bye!!

Using the given data, the equation that best models a line of fit for the data is y = 20x. The slope of the line of fit indicates that for each additional hour that Sally works, she earns an additional $20, on average. So, the correct option is D).

For finding the equation of the line of best fit and the slope

Firstly, Find the mean of x and y.

Mean of x = (2 + 3 + 4 + 5 + 6 + 7 + 8 + 9) / 8 = 5.5

Mean of y = (40 + 70 + 110 + 120 + 150 + 140 + 180 + 190) / 8 = 127.5

Calculate the deviations from the mean for x and y.

Deviation from mean of x = x - mean of x

= [2 - 5.5, 3 - 5.5, 4 - 5.5, 5 - 5.5, 6 - 5.5, 7 - 5.5, 8 - 5.5, 9 - 5.5]

= [-3.5, -2.5, -1.5, -0.5, 0.5, 1.5, 2.5, 3.5]

Deviation from mean of y = y - mean of y

= [40 - 127.5, 70 - 127.5, 110 - 127.5, 120 - 127.5, 150 - 127.5, 140 - 127.5, 180 - 127.5, 190 - 127.5]

= [-87.5, -57.5, -17.5, -7.5, 22.5, 12.5, 52.5, 62.5]

Calculate the product of the deviations for each data point.

Product of deviations = deviation from mean of x * deviation from mean of y

[(2-5.5) * (40-127.5)] + [(3-5.5) * (70-127.5)] + [(4-5.5) * (110-127.5)] + [(5-5.5) * (120-127.5)] + [(6-5.5) * (150-127.5)] + [(7-5.5) * (140-127.5)] + [(8-5.5) * (180-127.5)] + [(9-5.5) * (190-127.5)]

= [-135.625, -51.875, 32.625, 28.125, 17.8125, 26.25, 137.8125, 229.0625]

Calculate the sum of the deviations of x squared.

Sum of deviations of x squared = (deviation from mean of x)²

= (-3.5)² + (-2.5)² + (-1.5)² + (-0.5)² + 0.5² + 1.5² + 2.5² + 3.5²

= 70

Calculate the slope of the line of best fit.

slope = sum of products of deviations / sum of deviations of x squared

= (−135.625 + (−51.875) + 32.625 + 28.125 + 17.8125 + 26.25 + 137.8125 + 229.0625) / 70

= 20

Calculate the y-intercept of the line of best fit.

y-intercept = mean of y - slope * mean of x

= 127.5 - 20 * 5.5

= 10

The equation of the line of best fit in slope-intercept form.

y = slope * x + y-intercept

= 20x + 10

Therefore, the equation that best models a line of fit for the data is D) y = 20x, and the slope is 20. So, the correct answer is D).

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Answer:

-3-15i

Step-by-step explanation:

3i*-5 = -15i

3i*i = 3i^2 (i^2 = -1)

= -3-15i

It seems that the traffic conditions at this particular intersection can be unpredictable and potentially hazardous, which is why a traffic officer is called in when necessary.  The hourly traffic pattern between 12:00 p.m. and 10:00 p.m. is random.

Based on the information provided, it appears that at a particular traffic signal in New York, if more than 17 cars are held up at the intersection, a traffic officer will intervene and direct the traffic.

The hourly traffic pattern between 12:00 p.m. and 10:00 p.m. is random, generated between 5 and 25, with no external factors affecting it.

Specifically, between 5:00 p.m. and 6:00 p.m., the letters B, D, and F are associated with the random numbers generated, while the letters A, C, and E are not mentioned. It is unclear what these letters represent, but it is possible that they are used to categorize or track different aspects of the traffic flow, such as different lanes or directions.

It is important for drivers to exercise caution and follow any  given by the officer to ensure the safety of themselves and others on the road.

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Given:

The diagram of a circle.

\(m\angle BPV=124^\circ ,m\angle VPE=30^\circ ,m\angle EPF=76^\circ, m\angle FPD=48^\circ\).

To find:

The measure of arc BEF.

Solution:

The measure of central angle is equal to the measure of corresponding arc.

So, in the given figure,

\(n(arcBV)=124^\circ ,m(arcVE)=30^\circ ,m(arcEF)=76^\circ, m(arcFD)=48^\circ\)

Now,

\(m(arcBEF)=m(arcBV)+m(arcVE)+m(arcEF)\)

\(m(arcBEF)=124^\circ +30^\circ+76^\circ\)

\(m(arcBEF)=230^\circ\)

Therefore, the measure of arc BEF is 230 degrees.

Hence, He had to pay $ 18.11 for the tip on a restaurant bill.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

Josiah ate dinner at a restaurant and his bill was $15.75,

He wanted to leave  15% tip,

Then He had to pay,

=15.75+15 % of 15.75

=15.75 + 0.15*15.75

=18.11

Hence, He had to pay $ 18.11 for tip on the restaurant bill.

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Answer:

\(6x^{2}\)+ 7x - 20

Step-by-step explanation:

(2x+5)(3x−4)

=(2x+5)(3x+−4)

=(2x)(3x)+(2x)(−4)+(5)(3x)+(5)(−4)

=\(6x^{2}\)−8x+15x−20

=\(6x^{2}\)+7x−20

Answer:

FG

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

The location of the point on the number line that is of the way from A = 2 to B = 17 is 9.5, which is option E. None of the above.

To find the location of the point on the number line that is of the way from A = 2 to B = 17, we use the formula:

Midpoint = (A + B) / 2

Where A = 2, B = 17

Midpoint = (2 + 17) / 2

= 19/2

= 9.5

To find the location of the point on the number line that represents a particular fraction of the distance from A to B, we can use the following formula:

point = A + (fraction * (B - A))

where A = 2 and B = 17. Let's put these values ​​into the formula and calculate the position:

Point = 2 + (Fraction * (17 - 2))

We need to determine the value of Fraction. represents a fraction. Represents the distance from A to B.

Answer choices are given as decimals, not fractions, so convert to fractions.

OA: 11 = 11/20

OB: 9 = 9/20

OC: 12 = 12/20

OD: 10 = 10/20

Then plug each fraction into the formula to see which option is Make sure you give the correct position.

OA: point = 2 + (11/20 * (17 - 2)) = 2 + (11/20 * 15) = 2 + 8.25 = 10.25

OB: point = 2 + (9/20 * (17 - 2)) = 2 + (9/20 * 15 ) = 2 + 6.75 = 8.75

OC: Points = 2 + (12/20 * (17 - 2))

= 2 + (12/20 * 15)

= 2 + 9

= 11 44​​44

D: points = 2 + (10/ 20 * ( 17 - 2))

= 2 + (10/20 * 15)

= 2 + 7.5

= 9.5 of 2 passes after 17

The point representing (11/20) is at position 11.

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Let angle 4 denote the angle adjacent to angle 3 on the right side (so between lines a and b, to the right of line c). Angles 3 and 4 are then supplementary.

Lines a and b are parallel, so angles 1 and 4 are congruent because they are alternating interior angles.

By the transitive property, angles 2 and 4 are also congruent.

Again, transitively, angles 2 and 3 are supplementary.

Let angle 5 denote the angle to the left of angle 2 (between a and b, to the left of d). Angles 5 and 2 are supplementary.

Transitively, angles 5 and 3 are congruent.

These two angles correspond to one another, so lines c and d are parallel.

Answer:

base = 12; height = 3

Step-by-step explanation:

Area: ( b x h ) / 2

base: 2x

height: (x - 3)

---------------------------------

( ( 2x )*( x - 3 ) )/ 2 = 18

( 2x ^2 - 6x ) = 36

2x ^2 - 6x - 36 = 0

(quadratic formula)

x = 6

x = -3

---------------------------------

taking the positive value : x = 6

---------------------------------

base: 2x = 2(6) = 12

height: x - 3 = 6 - 3 = 3

Answer:

Step-by-step explanation:

3. \(\frac{-4-4}{-2-3} =\frac{-8}{-5} =\frac{8}{5}\)

4.\(\frac{5-(-3)}{2-(-2)} =\frac{8}{4} =2\)

Answer:

3. 1.6 and 4. 2

Step-by-step explanation:

3. m = (y2-y1)/(x1-x2)

m = ( 4-(-4))/(3-(-2))

m = 8/5= 1.6

4. m = (-3-5)/(-2-2)

m = -8/-4

m = 2

Answer:

scarlet Witch

Step-by-step explanation:

most strongest and most powerful e

= [3x3^-2x(-2)^6/2x3^-1x(-2)^5]^2 = 1

Answer:

1

Step-by-step explanation:

\([\frac{3a^{-2} b^6}{2a^{-1}b^5}] ^{2} \\=[1.5 a^{-2-(-1)} b^{6-5}]^2\\=[1.5a^{-2+1}b]^2\\=[1.5a^{-1}b]^2\\\\Substituting\ a=3,b=-2, we\ get,\\=[1.5*3^{-1}*-2]^2\\=[1.5*1/3*-2]^2\\=[1/2*-2]^2\\=[-1]^2\\=1\)

Hello!

3x + 4 = 1

3x + 4 - 4 = 1 - 4

3x = -3

3x/3 = -3/3

x = -1

The solution of the equation 3x + 4 = 1 is -1.

The answer is:

C) x = -1

Work/explanation:

To solve this equation, I subtract 4 from each side:

\(\sf{3x+4=1}\)

Subtract :

\(\sf{3x=-3}\)

Divide each side by 3:

\(\sf{x=-1}\)

Hence, C is correct.

The population of the island after 10 years will be approximately 2385.

The formula for exponential growth is \(y = y_0e^{(kt)}.\)

The formula for exponential decay is \(y = y_0e^{(-kt)}\).

Increases in a population's or a dispersed group's membership are referred to as population growth. The actual annual increase in the human population is about 83 million, or 1.1%.

Given,  an island's population grows exponentially and the continuous growth rate is 3% per year and the current population is 1,767.

∴ The population be 10 years from now will be,

\(y_{10} = y_0e^{(0.03)\times10}\).

We have written 3% as a decimal and it is the correct way of putting it into the formula for exponential growth or decaying equations.

\(y_{10} = 1767e^{0.3}\).

\(y_{10} = 1767\times1.35\).

\(y_{10} = 2385\).

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