I need help on this question

the answer for this question is 249,842

Answer:

B (0, 285 ) , C (380, 0 )

Step-by-step explanation:

the first step is to obtain the equation of the line in slope- intercept form

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = A(- 260, 480 ) and (x₂, y₂ ) = D (620, - 180 )

m = \(\frac{-180-480}{620-(-260)}\) = \(\frac{-660}{620+260}\) = \(\frac{-660}{880}\) = - \(\frac{66}{88}\) = - 0.75 , then

y = - 0.75x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equatio

using (620, - 180 ) , then

- 180 = - 465 + c ⇒ c = - 180 + 465 = 285

So y- intercept is B (0, 285 )

y = - 0.75x + 285 ← equation of line

to find the x- intercept , let y = 0 in the equation and solve for x

0 = - 0.75 + 285 ( subtract 285 from both sides )

- 285 = - 0.75x ( divide both sides by - 0.75 )

380 = x

x- intercept is C (380, 0 )

Difference:

x values

260 + 620 = 880

y values

480 + 180 = 660

Gradient = change in y/ change in x

Or

gradient = rise/run

= 660/880

= 3/4

= 0.75

We've got a negative slope - gradient must be negative

y = mx + c

y = - 0.75x + c

To find the y-intercept (c), which on the diagram is point B - you substitute one of the coordinates into the equation y = - 0.75x + c.

You use - point A or D - it don't matter which

I'll pick D - (620,−180)

y= -0.75x + c

-180 = - 0.75 x 620 + c

-180 = - 465 + c

+465

285= c

Thus, the equation is:

y = - 0.75x + 285

or

y = - 3/4x + 285

Where point B is (0,285) and C is (380,0)

To find:

B substitute x = 0 into the equation

(y= - 3/4 x 0 + 285)

C substitute y = 0 in the equation

0 = - 3/4x + 285

-285

- 285 = - 0.75x

÷ - 0.75

380 = x

( I converted 3/4 to 0.75 to make things clearer)

Hope this helps!

A VWX has vertices at V(-1,0), W(6,8), and X(4,-3). If the triangle is translated f(,y) —— (x-1,y–5), then the new coordinates will be OV'(0, -5), W'(-7, -13), X'(-5, -2).

Explanation: A coordinate plane is used to determine the position of figures, and it has four quadrants labeled I, II, III, and IV. A geometric figure's coordinates must be given in order to reflect it on a coordinate plane.

A geometric figure's image obtained by moving it is known as a translation. If the triangle's vertices V(-1,0), W(6,8), and X(4,-3) are translated by the vector (-1,-5), the new coordinates will be obtained by subtracting the coordinates of (-1,-5) from each vertex. So, V' (-1,0) + (-1,-5) = (0,-5) or OV' (0,-5), W'(6,8) + (-1,-5) = (-7,-13) or W'(-7,-13), and X'(4,-3) + (-1,-5) = (-5,-8) or X'(-5,-2).

Hence, the correct answer is option (A) OV'(0, -5), W'(-7, -13), X'(-5, -2).

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Answer:

\(\large\boxed{8 \div(x - y)}\)

Step-by-step explanation:

Sentence: The quotient of 8 and the difference of x and y

We know that:

Quotient = division

Difference = subtraction

Write out the sentence in an equation:

The quotient of 8 and the difference of x and y.

\(\large\boxed{8 \div(x - y)}\)

Let me know if you have any questions!

The best description of the relationship between the y-axis and the line connecting F to F' after reflection over the y-axis is that they are perpendicular to each other.

When a triangle is reflected over the y-axis, its vertices swap their x-coordinates while keeping their y-coordinates the same. Let's consider the points F and F' on the reflected triangle.

The line connecting F to F' is the vertical line on the y-axis because the reflection over the y-axis does not change the y-coordinate. The y-axis itself is also a vertical line.

Since both the line connecting F to F' and the y-axis are vertical lines, they are perpendicular to each other. This is because perpendicular lines have slopes that are negative reciprocals of each other, and vertical lines have undefined slopes.

Therefore, the best description of the relationship between the y-axis and the line connecting F to F' after reflection over the y-axis is that they are perpendicular to each other.

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The branch of statistics used to make the given statement is Option(D) Descriptive Statistics.

Which are the different branches of statistics?

The area of mathematics that deals with data is statistics. Data collection, descriptive statistics, and inferential statistics are the three main subfields of statistics.

For the given question, we are presented with data quantitatively. The data shows out of 500 students, 31% missed class due to alcohol consumption.

Therefore the branch of statistics that was used to make the above statement is descriptive statistics.

Hence Option(d) is correct.

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Answer: -5/7

Step-by-step explanation:

-11/28 = -0.39

-5/7 = -0.71

9/-14 = -0.64

29/-42 = -0.69

Out of these, -5/7 is the greatest rational number, even if they are all negative.

Hope this helps!

Solution: x<5/8

decimal:x<0.625

interval notation:-∞,5/8

Step-by-step explanation:

add/subtract the numbers : 5-4=1

expand 1-5(7x+5):35x-24

add 24 to both sides

35-24+24<-5x+1+24

simplify

35x<-5x+25

add 5x to both sides

35x+5x <-5x+25x+5x

simplify

40x/40 <25/40

simplify

x<5/8

Total time spend by Natalie doing her Math and English homework is 90 minutes ,equation represents the time she for math homework is a function of time she spends her English homework is y = 90-x.

As given,

Total time spend =90 minutes

Time spend on doing

English homework =x minutes

Math homework =y minutes

Equation representing the function,

y = 90-x

Therefore, total time spend is 90 minutes , equation represents the time she for math homework is a function of time she spends her English homework is y = 90-x.

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Answer:

-15%

Step-by-step explanation:

Using the concept of probability, the probability that the first experiment is successful is 70.97%

To calculate the probability that the first experiment is successful, we use the relation thus :

Inserting the values into the formula :

Therefore, the probability value is 70.97%

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Answer:

Exact Form:

2√61

Decimal Form:

15.62049935…

Step-by-step explanation:

I think lol

The height of the bottom of the hole after the second day is 2579 feet.

Mathematicians employ the action of addition to combine numbers. The sum of the given numbers is the outcome of addition, or the total of the given numbers.

As per the given data:

Drilling on first day = 323 feet.

Drilling on second day = drilling on first day + 1933 feet

Drilling on second day = 323 feet + 1933 feet

= 2256 feet

Total drilling = Drilling on first day + Drilling on second day

= 323 feet + 2256 feet

= 2579 feet

Hence, the height of the bottom of the hole after the second day is 2579 feet.

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The value of f(10) = 107 and f(-3) = 16.

The function is defined as in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). An example of this would be y=x2. You only get one output for y if you enter anything for x. Considering that x is the input value.

Given that f(x)=x² + 7

We do determine the values of F (10) and F(-3)

Now f(10)

= (10)2 +7

= 100 +7

= 107

Now f(-3)

= (-3)2 +7

= 9 +7

= 16

Therefore the value of f(10) = 107 and f(-3) = 16

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Answer:

-17(-)-18=-17+18=1 or -17+18=1

Step-by-step explanation:

if -17 is one number you Add 18.

-17(-)-18=-17+18=1

No, a fraction is not a term. The distributive property can be applied to fractions because it is a general mathematical principle.

A fraction is not considered a term in the traditional sense. It is a mathematical expression that represents division. However, the distributive property can still be applied to fractions because the property itself is a fundamental rule of arithmetic that extends beyond specific types of expressions.

The distributive property states that for any real numbers a, b, and c:

a × (b + c) = (a × b) + (a × c).

When working with fractions, we can apply the distributive property as follows:

Let's consider the expression: a × (b/c).

We can rewrite this as: (a × b)/c.

Now, let's distribute the 'a' to 'b' and 'c':

(a × b)/c = (a/c) × b.

In this step, we applied the distributive property to the fraction (a/c) by treating it as a whole.

Although fractions represent division, we can still use the distributive property because it is a general mathematical principle that allows for manipulating expressions involving addition, subtraction, multiplication, and division.

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Answer:green to total 2/10

Step-by-step explanation:

He spent 2 hours 5 minutes working on his project altogether

What is an equation?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.

Total time =  1 hour and 15 minutes + 50 minutes.  

Add minutes

=>   Total time = 1 hour  65 minutes.  

1 hour = 60 minutes

So,

65 minutes =  1 hour  5 minutes.

So, the  total time =   1 hour  +   1 hour  +5 minutes.

                             =  2 hours 5 minutes.

He spent 2 hours 5 minutes working on his project altogether

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The distance between the 2 points is 7.3 units.

So,

The formula for the distance between two points P(a, b) and Q(c,d) is:

Use the following formula for the points M(6, 16) and Z(-1, 14):

Which, when rounded to the nearest tenth, equals 7.3 (units).

Therefore, the distance between the 2 points is 7.3 units.

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D.  When multiple tests are done in analysis of variance, the family error rate is the family error rate is the probability of making one or more type 1 errors among the tests in the set.

It is also known as the familywise error rate (FWER). This is because when multiple tests are conducted simultaneously, the probability of making at least one type 1 error increases, and the FWER is used to control this error rate. To control the FWER, researchers use methods such as the Bonferroni correction or the Holm-Bonferroni correction, which adjust the significance level of each test to maintain the desired overall error rate.

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Answer:

Step-by-step explanation:

Student G only involves in the band but Student B involves in the band and those who play piano. We can also assume that the instrument that Student B plays in the band is the piano.

The student of class B plays both pianos and they are in the band while a student of class G is in the band without knowing their role play as per the Venn diagram shown.

Given that,
The Venn diagram below provides a visual representation of the students in Mr. Griffin's class who participate in music programs after school. What does the diagram tell you about the musical involvement of Student B and Student G is to be determined

The Venn diagram is a mathematical representation of the system of scenarios.

Here,
There are 7 classes named A, B, C, D, E, F, and G in the Venn diagram
Where students of classes A and F are the proper piano players,
while, students of class B and D are both in the band and also they plays piano, and students of C, E, and G has no specified role play but they are part of the band,

Thus, the student of class B plays both pianos and they are in the band while a student of class G is in the band without knowing their role play.

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The cost of one apple is $0.70.

Let's assume that the cost of one apple is "a" dollars and the cost of one banana is "b" dollars. We can create two equations based on the information given:

4a + 9b = 12.70 ...(1)

8a + 11b = 17.70 ...(2)

To solve for "a", we can use elimination method by multiplying equation (1) by 8 and equation (2) by -4, so that the coefficients of "a" in both equations will be equal and opposite:

32a + 72b = 101.60

-32a - 44b = -70.80

Adding these two equations, we get:

28b = 30.80

Simplifying and solving for "b", we get:

b = 1.10

Now, we can substitute the value of "b" in equation (1) and solve for "a":

4a + 9(1.10) = 12.70

4a + 9.90 = 12.70

4a = 2.80

a = 0.70

Therefore, the cost of one apple is $0.70.

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The major reason to use a value of 0.1 rather than 0.5 in the simple exponential smoothing forecasting method is to place more emphasis on recent data points.

In simple exponential smoothing, the forecasted value for the next period is calculated by combining the actual value from the current period with a weighted average of the forecasted value from the previous period. The weighting factor, represented by 'a', determines the level of importance given to the most recent data points.

By choosing a smaller value of 'a' (e.g., 0.1), more weight is placed on recent observations, resulting in a forecast that is more responsive to recent changes in the data. This is particularly useful when the underlying pattern in the data is changing rapidly or when there is a need to capture short-term fluctuations or trends.

On the other hand, choosing a larger value of 'a' (e.g., 0.5) would give equal weight to all data points, making the forecast more stable and less sensitive to recent changes. This is appropriate when the underlying pattern is relatively stable and there is a desire to smooth out short-term fluctuations in the data.

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Answer: y = 60x, choice D

=================================================

Explanation:

1 hour = 60 miles ... one way to represent the speed of 60 mph

x hours = 60x miles ... multiply both sides by x

After x hours, the cheetah has ran 60x miles. This is assuming the speed is kept the same at 60 mph.

The information about the 50 yards is never used. It's likely thrown in there as filler or as a distraction.

The results of the operations between two complex numbers are listed below:

Case A: z + w = 2√6 + i 2√6, z - w = - 2√2 + i 2√2

Case B: z + w = √2 / 2 - i √2 / 2, z - w = - √6 / 2 - i √6 / 2

In this problem we find two complex numbers, whose following operations must be found: addition, subtraction. These operations are perform by component addition:

Case A

z + w = (4 · cos 75° + i 4 sin 75°) + (4 · cos 15° + i 4 · sin 15°)

z + w = 2√6 + i 2√6

z - w = (4 · cos 75° + i 4 sin 75°) - (4 · cos 15° + i 4 · sin 15°)

z - w = - 2√2 + i 2√2

Case B

z + w = (cos 255° + i sin 255°) + (cos 15° + i sin 15°)

z + w = √2 / 2 - i √2 / 2

z - w = (cos 255° + i sin 255°) - (cos 15° + i sin 15°)

z - w = - √6 / 2 - i √6 / 2

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19°

The unknown angle be x

20:-

If unknown angle be x

\(\\ \sf\longmapsto x+76=180\)

\(\\ \sf\longmapsto x=180-76\)

\(\\ \sf\longmapsto x=104°\)

Answer:

Step-by-step explanation:

Greatest common factor (GCF) of 22 and 44 is 22.

GCF(22,44) = 22

We will now calculate the prime factors of 22 and 44, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22 and 44.