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The Solution:

The given expression is

Clearly, we have that Ayna's work was wrong.

But Lesile' work is correct.

Thus, the correct answer is

Answer:

The answers are correct.

Step-by-step explanation:

Please rate the answer and like it if it helped.

A horizontal line is in the form

y =

This means the x component changes and the y component stays the same

( -7, 10)

The line is in the form

y = 10

x can be any value

The slope is zero since it is horizontal

The point ( 3,10) is on the line

The equation of the line is y = 10

The y intercept is 10 not -7

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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Answer:

(x-1)(x-4)

Step-by-step explanation:

I used long division with polynomials to help me find the other factor to this problem.  Divide x cubed -5x squared -6x+8 by x+2 to get x squared -5x+4.

Hope this helps!

Answer:  (x + 2) (x - 4) (x - 1)

Step-by-step explanation:

Use synthetic division. If the remainder (last digit) is zero, then it is a factor. The other digits represent the coefficients of the reduced polynomial.

x³ - 3x² - 6 + 8   ; x + 2 = 0  --> x = -2

-2  |  1   -3    -6    8

    |  ↓   -2   10   -8  

       1    -5    4    0    → remainder is 0

Reduced polynomial: x² -5x + 4

                                = (x - 4) (x - 1)

Factored form: (x + 2) (x - 4) (x - 1)

You need to add 3 5/9 to make 8. If you want to know what 4 4/9 goes to, to make 8, do the opposite which is subtracting. 8 turn to 7 9/9 and then subtract 4 4/9 and then you get the answer aka 3 5/9.

Answer:

  (b)  95.5°

Step-by-step explanation:

The supplement is found by subtracting the angle measure from 180°.

  180° -84.5° = 95.5° . . . . supplement to given angle

The result of the division of the dividend; 5x² + 70x - 160 by the divisor; x - 2 as required is; 5x + 80.

As evident in the task content; the quotient of the expression given is to be determined.

By first dividing; 5x² by x; we have; 5x. Hence, by multiplying 5x by x - 2; we have; 5x² - 10x.

By subtracting 5x² - 10x from 5x² + 70x - 160; we have; 80x - 160.

Finally; by dividing 80x - 160 by x - 2; we have +80.

Ultimately, the result of the quotient as required to be determined is; 5x + 80.

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The monthly cell phone bill when shared data equals zero is given as follows:

$26.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

The intercept of the line in this problem is given as follows:

b = 26.

Hence $26 is the monthly cell phone bill when shared data equals zero.

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Answer:

3n + 5 = 23,

3n = 18

n = 6

since "n" = 6,

2n - 3

= 2×6 - 3

12 - 3

= 9

A large expected number of events in random data usually makes mining for these events meaningless as a lot of false positives are generated. Hence, the statement is true.

When a large expected number of events are present in random data, it can lead to a lot of false positive results when mining for these events. This is because a large expected number of events increases the probability that any observed event is just a random occurrence and not a meaningful or significant one.

When there is a high rate of false positive results, the validity and reliability of the findings are called into question, making the data mining process meaningless. To ensure the validity and reliability of results, it's important to have a reasonable number of expected events in the data and to use appropriate statistical methods to control the false positive results.

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Answer:

5.6 and 3,043.2

Step-by-step explanation:

\( \huge \: \tt \green{Answer} \)

Olivia and kieran share ratio 2 : 5

\( \texttt{olivia's share \: of \: money = £42 }= \frac{2}{7} \\ \)

Total Amount of Money = Olivia's share of money × Reciprocal of olivia's share

\( \tt \: = > 42 \times \frac{7}{2} \\ \\ = > 147\)

Kieran's share of Money =

\( = > 147 \times \frac{5}{7} \\ \\ = > \sf{ \pink{£105}}\)

Answer:

Step-by-step explanation:

Restate the problem:

 "  29% of x is $28.9 million"

   (29/100)x = $28.9 million  

          [in word (story) problems "of" usually means multiply]

          29% may be written as (29/100) or 0.29 as needed by the problem.

   x = (100/29)($28.9 million)

   x ≅  $99.655 million

   x ≅ $100 million         [rounded

Answer:

I think the answer is

t=r/r-3

r=t(r-3)

r=tr-t3

Answer:

y = 6x + 43

Step-by-step explanation:

Our unknown line is of the form

y = kx + m

Where k is the slope of the line.

Since our line is parallel to 6x+1, the slope of the two lines must be equal. In other words, the two must have the same value of k.

In our line 6x+1, the k value is 6.

Thus, our unknown line must look like this:

y = 6x + m

Now, we need to find out what m is. Our line passes through (-7, 1).

Thus, we know that when x is equal to -7, y is equal to 1,

We can put these two values:

x = -7

y = 1

...into our line to find m.

y = 6x + m

1 = 6 * (-7) + m

Since 6 * (-7) = -42

1 = - 42 + m

1 = m - 42

Now, we can add 42 to both sides:

1 + 42 = m - 42 + 42

43 = m

m = 43

Our line has the k-value of 6, and m-value of 43. As such, the equation will be the following:

y = kx + m

y = 6x + 43

Answer: y = 6x + 43

Answer:

  x ≥ 5

Step-by-step explanation:

You want the domain of the equation y = √(x -5) -1.

The domain of the function is the set of x-values for which it is defined. The square root is not defined for negative values, so the domain is ...

  x -5 ≥ 0

  x ≥ 5 . . . . . . the domain of this function

__

Additional comment

The range is the set of y-values the function may produce. Here, that set of values is y ≥ -1.

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Answer:

1) g is the dependent variable.(A)

2) u is the independent variable.(D)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The formed triangles are similar and the ratio of corresponding sides is equal:

The light source should be at 3 m height

Both triangles are congruent so

\(\\ \bull\sf\longmapsto \dfrac{x}{4}=\dfrac{9}{12}\)

\(\\ \bull\sf\longmapsto 12x=36\)

\(\\ \bull\sf\longmapsto x=3\)

Light source should be at 3m

Answer:

It would be 16.25

Step-by-step explanation:

Hope it helped you brainiest plz

8 equals 16 fluid ounces

and if you add 1/4 + 16 it equals 16.25.

Answer:132 oz

Step-by-step explanation:

The graph that shows the new position of the rectangle after a translation is; Option C

When it comes to transformation in mathematics, there are different types such as reflection, dilation, rotation, translation.

Now, we are dealing with translation which is defined as a transformation of a shape in a plane that preserves the length, which tells us that the object is transformed without getting its dimensions affected.

In this case, we see the rectangle in the graph and we can conclude that the translation of the rectangle shows the correct translation would be the second option because it shows that the length is preserved without getting its dimensions or shape altered.

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The straight-line distance between Akira's house and Cooper's house is 6.13 kilometers (rounded to the nearest tenth)

Given that,To get from home to his friend Akira's house, Jaden would have to walk 2.8 kilometers due east.The straight-line distance between Akira's house and Cooper's house is given by the distance between two points in a coordinate plane. Let the home be the origin (0, 0) of the coordinate plane and Akira's house be represented by the point (2.8, 4.7). Similarly, let Cooper's house be represented by the point (8.3, 7.4).The distance formula between the two points (2.8, 4.7) and (8.3, 7.4) is given by:distance = √[(8.3 - 2.8)² + (7.4 - 4.7)²]= √[5.5² + 2.7²]= √(30.25 + 7.29)= √37.54= 6.13 km (rounded to the nearest tenth)

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The value of df, when x = π/4 and dx = 1/24, is (-5π - 5√2)/(96√2).

To find the derivative of the function f(x) = -5cos(x) + xtan(x), we'll use the sum and product rules of differentiation. Let's start by finding df/dx.

Apply the product rule:

Let u(x) = -5cos(x) and v(x) = xtan(x).

Then, the product rule states that (uv)' = u'v + uv'.

Derivative of u(x):

u'(x) = d/dx[-5cos(x)] = -5 * d/dx[cos(x)] = 5sin(x) [Using the chain rule]

Derivative of v(x):

v'(x) = d/dx[xtan(x)] = x * d/dx[tan(x)] + tan(x) * d/dx[x] [Using the product rule]

= x * sec^2(x) + tan(x) [Using the derivative of tan(x) = sec^2(x)]

Applying the product rule:

(uv)' = (5sin(x))(xtan(x)) + (-5cos(x))(x * sec^2(x) + tan(x))

= 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)

Simplify the expression:

df/dx = 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)

Now, we need to evaluate df/dx at x = π/4 and dx = 1/24.

Substitute x = π/4 into the derivative expression:

df/dx = 5(π/4)sin(π/4)tan(π/4) - 5(π/4)cos(π/4)sec^2(π/4) - 5cos(π/4)tan(π/4)

Simplify the trigonometric values:

sin(π/4) = cos(π/4) = 1/√2

tan(π/4) = 1

sec(π/4) = √2

Substituting these values:

df/dx = 5(π/4)(1/√2)(1)(1) - 5(π/4)(1/√2)(√2)^2 - 5(1/√2)(1)

Simplifying further:

df/dx = 5(π/4)(1/√2) - 5(π/4)(1/√2)(2) - 5(1/√2)

= (5π/4√2) - (10π/4√2) - (5/√2)

= (5π - 10π - 5√2)/(4√2)

= (-5π - 5√2)/(4√2)

= (-5π - 5√2)/(4√2)

Now, to evaluate df/dx when dx = 1/24, we'll multiply the derivative by the given value:

df = (-5π - 5√2)/(4√2) * (1/24)

= (-5π - 5√2)/(96√2)

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We cannot conclude that whether a subject lies or does not lie is independent of the polygraph test indication.

The test statistic needed to test the claim that whether a subject lies or does not lie is independent of the polygraph test indication is the chi-square statistic.

In this case, the grand total is 90. The row totals are 57 and 33, and the column totals are 42 and 48. The expected frequencies are as follows:

The chi-square statistic is calculated as 0.177. The p-value for the chi-square statistic is calculated using a chi-square table. The degrees of freedom for the chi-square table are the number of rows minus 1, multiplied by the number of columns minus 1.

Since the p-value is greater than 0.05, we fail to reject the null hypothesis. We cannot conclude that whether a subject lies or does not lie is independent of the polygraph test indication.

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After considering the given data we come to the conclusion that the length of AB is 12.124 units, under the condition that A (-3, 5) and B (4, -2) are the given coordinates.

The distance between two points in a plane can be found using the distance formula which is an application of the Pythagorean theorem. The formula is given by d=√ ( ((x₂ – x₁ )² + (y₂ – y₁ )²)

Here (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

Applying the given coordinates of A (-3, 5) and B (4, -2), we can evaluate the distance between them as follows:

d = √( (4 - (-3))² + (-2 - 5)² )

 = √(7² + (-7)²)

 = √(98 + 49)

 = √147

 = 12.124

Therefore, the length of AB is approximately 12.124 units.

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Answer:

what table could you explain

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The theorem we use for this is

\(a(a + b) = c(c + d)\)

Solve for d.

\(a(a + b) = c { }^{2} + cd\)

\(a(a + b) - {c}^{2} \)

\( \frac{a(a + b) - {c}^{2} }{c} \)

A is the answer

The correct answer is  CI = (71.415%, 78.915%)

The correct option is (A)

A confidence interval is the mean of your estimate plus and minus the variation in that estimate.

Given:

x = 376

Sample = 500 students

CI= [(376/500-1.96 √((376/500)*(124/500)/500) , (376/500-1.96                

                                                                         √((376/500)*(124/500)/500)]

CI = (71.415%, 78.915%)

Hence, CI = (71.415%, 78.915%)

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