In ANOP, the measure of ZP=90°, NP = 16, ON = 65, and PO = 63. What ratio
represents the cosecant of angle N?

Answer:

9 7/8

Step-by-step explanation:

1. 4 3/8 can be converted into the improper fraction 35/8, and 5 1/2 can be converted into 11/2.

2. Now that we have 35/8 + 11/2, we have to find a common denominator. Since 2 goes into 8 four times, we can turn 11/2 into 44/8 by multiplying the numerator and denominator (the top and the bottom numbers) by 4.

3. Now we have 35/8 + 44/8. At this point, the all we have to do is add the numerators (the top numbers). 35+44=79, so our answer is 79/8, which we can simplify to 9 7/8.

Answer:

follow me and I will answer it

a) \(\lim_{x \to 1} f(x)\) exists

As the limit of a function at any certain point can exist, but  the function itself may be not defined at that point.

For example, if \(f(x) =\frac{ (x^3 - 1) }{(x - 1)}\), then \(\lim_{x \to 1}\frac{(x^3 - 1)}{ (x - 1)} = 3\),

So, here f(1)  is undefined as there is a hole in the graph of the function f(x) at the point (1,3).  

Therefore the correct statement about the function cannot be used to conclude that is defined at x = 1 is \(\lim_{x \to 1} f(x)\) exists.

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      Statement              Reason

1.      LQ ║NP                  Given

2.     ∠Q ≅ ∠N                 ASA Theorem

3.     ∠L ≅ ∠P                   Alternate Interior Angles

4.    ΔLMQ ~ ΔPMN         ASA Similar Theorem

Similar shapes are enlargements of each other using a scale factor.

All the corresponding angles in the similar shapes are equal and the corresponding lengths are in the same ratio.

The scale factors for length, area and volume are not the same.

From the given diagram,

 Statement              Reason

1.      LQ ║NP                  Given

2.     ∠Q ≅ ∠N                 ASA Theorem

3.     ∠L ≅ ∠P                   Alternate Interior Angles

4.    ΔLMQ ~ ΔPMN         ASA Similar Theorem

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Answer:

  x = 2

Step-by-step explanation:

The relevant rule of logarithms is ...

  log(a/b) = log(a) -log(b)

This lets us combine the logs on the left to get ...

  log((6 +7x)/(3x -2)) = log(5)

Taking anti-logs gives ...

  (6 +7x)/(3x -2) = 5

  6 +7x = 5(3x -2) . . . . . multiply by (3x -2)

  7x +6 = 15x -10 . . . . . eliminate parentheses

  8x = 16 . . . . . . . . . . . add 10-7x to both sides

 x = 2 . . . . . . . . . . . . . divide by 8

The solution is x = 2.

_____

The graph shows the left side of the equation is equal to the right side for x=2.

\(\begin{array}{llll} \textit{Logarithm of rationals} \\\\ \log_a\left( \frac{x}{y}\right)\implies \log_a(x)-\log_a(y) \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \log(6+7x)-\log(3x-2)=\log(5)\implies \log\left( \cfrac{6+7x}{3x-2} \right)=\log(5) \\\\\\ \cfrac{6+7x}{3x-2}=5\implies 6+7x=15x-10\implies 6=8x-10 \\\\\\ 16=8x\implies \cfrac{16}{8}=x\implies 2=x\)

Answer: -27

Step-by-step explanation: Use inductive reasoning to predict the most probable next number in the list.

3, 9, -3, 3, -9, -3, -15, -9, -21, ?

We can start by looking at the differences between consecutive terms in the list:

9 - 3 = 6 -3 - 9 = -12 3 - (-3) = 6 -9 - 3 = -12 -3 - (-9) = 6 -15 - (-3) = -12 -9 - (-15) = 6 -21 - (-9) = -12

Notice that the differences alternate between positive 6 and negative 12. This suggests that the pattern involves adding 6, then subtracting 12, and then adding 6 again. Applying this pattern to the last term in the list (-21), we get:

-21 + 6 = -15 -15 - 12 = -27 -27 + 6 = -21

Therefore, we predict that the most probable next number in the list is -27.

Answer: f(x) has an axis of symmetry at x = 4 and h(x) has an axis of symmetry at x = -2

Step-by-step explanation:

You can easily find the axis of symmetry by investigating around which line the functions are symmetrical about

for instance, in h(x), the graph is symmetrical on either side of x = -2, meaning that the line x = -2 cuts the parabola in 'half'

in f(x), this is a little harder to think about, but if you know how the graph will be shifted on the x-axis you can figure it out! In this case (x-4)^2 means that the graph will be shifted on the x-axis 4 units to the right (or from the origin to +4 on the X axis)

as such the line x = 4 will cut the function f(x) in 'half'

Answer:

152 cm

Step-by-step explanation:

Perimeter of kite= 2(a+b)

P= 2(AB+CD) = 2(29+47) = 2 *(76) = 152 cm.

If something remains unclear, be free to ask questions!

Answer:

x ≤ - 5 or x ≥ 7

or, in interval notation

[ - ∞, -5] ∪ [7, ∞]

Step-by-step explanation:

From the question we get the following two inequalities
x is at most -5 ==>     x ≤ -5

x is at least 7 ==>       x ≥ 7 which can be rewritten as 7 ≤ x

This can be written as
x ≤ - 5 or x ≥ 7

In interval notation this would be
[ - ∞, -5] ∪ [7, ∞]

On the number line this would be represented as shown in the figure

Answer: A factor of 2 between each number

Step-by-step explanation: 2 (*2), 4 (*2), 8, and so on...

Answer:

Geometric sequence

Step-by-step explanation:

In a geometric sequence you must multiply by a common ratio to get from one term to the next.

To get from 2 to 4, multiply by 2.

To get from 4 to 8, multiply by 2, and so on.

This means that the common ratio is 2

The equation of line containing vertices (8,4) is y = 4.

Y = mx+b, where m is the slope and b is the y-intercept, is the formula for the slope-intercept form (the point where the line crosses the y-axis). Using y=mx+b to graph a line is typically simple. The standard form and the point-slope form are other formats for linear equations.

Equation of line in slope - intercept form is

y = mx + c

where m= slope

c = y - intercept

As it is given that equation of line is horizontal,

this implies

x = 0

y = m (0) + c

y = c

Now, the given coordinates are (8,4)

Slope of the equation equals 0 As the line is horizontal.

⇒ y = 0 (8) + 4

⇒ y = 4

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The steps to create a bar graph are explained below.

To match the two-way table to the segmented bar graph, we need to create a segmented bar graph that represents the data in the table. The table shows the percentage of students in each grade who voted for each mascot option.

Here is how we can match the two-way table to the segmented bar graph:

By creating a segmented bar graph that represents the data in the two-way table, we can visually compare the percentage of students who voted for each mascot option across different grade levels.

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Answer:

The  inverse of the function of f(x) = 4x is h(x) = x/4

Since f(x) = 4x, to obtain its inverse, we write f(x) = y

So, y = 4x.

We now divide both sides by 4. so, we have

y/4 = 4x/4

y/4 = x

Next, we replace x with y. So,

y/4 = x

x/4 = y

Next, we now replace y with f⁻¹(x) which is the inverse of f(x).

So, y = x/4

f⁻¹(x) = x/4

Since  f⁻¹(x) = h(x), replacing these, we have

h(x) = x/4

So, the  inverse of the function of f(x) = 4x is h(x) = x/4

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D. suspended

explanation:

Someone who is unable to use a credit card after repeated failures to pay has had their credit suspended.

Option D is the correct answer.

Credit card suspension is a temporary measure, and the credit card can usually be reinstated once the account is brought up up-to-date.

We have,

When a person repeatedly fails to make payments on their credit card, their credit card company may suspend their credit card.

This means that the person will not be able to use the credit card until they bring their account up-to-date and pay any outstanding balance or fees.

However, repeated failures to pay can have a negative impact on a person's credit score, which is a measure of their creditworthiness.

If the account remains delinquent, it may eventually lead to default, which is when the lender takes legal action to recover the unpaid debt.

Thus,

Someone who is unable to use a credit card after repeated failures to pay has had their credit suspended.

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Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).

Thus, the value of the  sine function for the given values in right angled triangle are obtained as : x = 51.0°.

Triangle angles are measured by the sine function, a trigonometric function. It is equivalent to the ratio of a side across the hypotenuse that is opposite that angle in issue.

sin Ф = opposite side/ hypotenuse

In the given right angled triangle.

sin x = 7/9

x = 51.0°

Thus, the value of the  sine function for the given values in right angled triangle are obtained as : x = 51.0°.

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Answer:

The best predicted value of y = y^= y`= 6.0

Step-by-step explanation:

The given P - value is  = 0.176

And the significance level= 0.01

Since the P-value is greater than the significance level the null hypothesis cannot be rejected telling us that there is no correlation between the attractiveness ratings of the partners.

As there is no correlation between the attractiveness ratings of the partners  the best predicted value of y (attractiveness rating by female of male) is given by mean value

y^= y`= 6.0

The correct option is A, we have a translation of 7 units to the right.-

To find it, we need to analyze two correspondent vertices.

We can see that vertex A is at (1, 5), while the correspondent vertex A' is at (8, 5)

Taking the difference between that, we will get:

A' - A = (8, 5) - (1, 5) = (8 - 1, 5 - 5) = (7, 0)

The first value gives the horizontal translation and the second the vertical one

So,we have a translation of 7 units to the right, the correct option is A.

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The dimensions of the rectangular block indicates;

(a) The largest number of bricks that can be cut from the block is 48 bricks

(b) The volume of the wood left is 216 cm³

The volume of the rectangular block is the product of the length, L, width, W, and height, H.

1. The dimensions of the rectangular block indicates that the block volume is; V = 24 cm × 9 cm × 7 cm = 1,512 cm³

The largest number of bricks that have side lengths of 3 cm that can be cut from the block is therefore;

Number of cubes; (24)/3 × (9)/3 × (7)/3 ⇒ 8 × 3 × 2 = 48

(b) The volume of wood left = 1512 - 48 × 3 × 3 × 3 = 216

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Answer:

?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let's factor the trinomial:

x + 4 is between the answer options

Correct option is D.

The trigonometry identity (1 - cos(Ф))/sin(Ф) = csc(Ф) - cot(Ф) is proved below

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

(1 - cos(Ф))/sin(Ф) = csc(Ф) - cot(Ф)

Using the above as a guide, we have the following:

Expand the fraction

1/sin(Ф) - cos(Ф)/sin(Ф) = csc(Ф) - cot(Ф)

Evaluate the quotient

So, we have the following representation

csc(Ф) - cot(Ф) = csc(Ф) - cot(Ф)

Both sides of the equation are the same

Hence, the identity has been proved

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Answer:

38 in²

Step-by-step explanation:

5 faces:

front: area = 2*6/2 = 6

back = front = 6

left = 3 * 2 = 6

right = 4*2 = 8

bottom = 6*2 = 12

total = 6 + 6 + 6 + 8 + 12 = 38 in²

Consider the coordinate (-1 3/4, 4 1/2).

Therefore, the x coordinate and y coordinate are - 1 3/4 and 4 1/2 respectively.

First, we must move back and forth between -1 and -2 by one and three.

In order to acquire 4 1/2, we must first get 4 above the y-axis, followed by half between 4 and 5.

The location at which the horizontal line at 4 1/2 and the vertical line at -1 3/4 would connect would be marked with a coordinate.

Or,

x = - 1 ( 3/4 ) = - 7/4 = - 1.75 and;

y = 4 1/2 = 9/2 = 4.5

Hence, ( -1 3/4, 4 1/2 ) = ( - 1.75, 4.5 ).

The shown red point on the graph is the coordinate (-1 3/4, 4 1/2).

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(a) The  square of 4 = 16

(b) The  square of 6 = 36

(b) The  square of 13 = 139

(b) The  square of 10 = 100

We know that,

Square of a number is nothing but product of a number with itself.

And it gives power  2.

(a) Now the given number is 4:

The  square of 4 = 4²

                            = 4x4

                            = 16

(b) The given number is 6:

The  square of 6 = 6²

                            = 6x6

                            = 36

(c) The given number is 13:

The  square of 13 = 13²

                            = 13x13

                            = 139

(d) The given number is 10:

The  square of 10 = 10²

                            = 10x10

                            = 100

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Answer:

-1.555 and 1.555

Step-by-step explanation:

For a standard normal distribution:

P(- Ƶ ≤ Z ≤ Ƶ) = 0.88

The normal distribution on the curve is symmetrical about Z = 0

Thus

P( -Ƶ ≤ Z ≤ 0) = P( 0 ≤ Z ≤ Ƶ)

However;

This implies that:

P( -Ƶ ≤ Z ≤ 0)  +  P( 0 ≤ Z ≤ Ƶ) = 0.88

2P ( 0 ≤ Z ≤ Ƶ)  = 0.88

P( 0 ≤ Z ≤ Ƶ) = 0.44

P(Z ≤ Ƶ) - P( Z ≤ 0) = 0.44

Since P(Z ≤ 0) = 0.50

P(Z ≤ Ƶ) = 0.44 + 0.50

P(Z ≤ Ƶ) =  0.94

From the probability value table

z = 1.555

Thus the endpoints are:

-1.555 and 1.555