Which statements about opposites are true? 1) The opposite of a number is 1 divided by that number. 2) The opposite of the opposite of a number is the number itself. 3) A non-zero number and its opposite are located on opposite sides of zero on a number line. 4) The opposite of a number is always a negative number

Answer:

b. 0.09

Step-by-step explanation:

0.09 is the only one smaller than 0.59

0.59>0.09

Answer:Its D

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

3 - 6x = -9

I see a lot of negative numbers, which can make an equation more difficult to solve. Let's make these numbers positive.

Add 6x to both sides.

3 = -9 + 6x

Add 9 to both sides.

12 = 6x

Now we want to isolate x by dividing both sides by 6.

2 = x

This is your answer.

Let's check it by plugging x = 2 back into the original equation.

3 - 6x = -9

3 - 6(2) = -9

3 - 12 = -9

-9 = -9

Your answer is correct.

Hope this helps!

The zeros and the multiplicities are

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

f(x) = (x + 6)³(x - 11)²(x - 6)(x + 5)³

The power of each factor are the multiplicities

So, we have

Zero(s) of multiplicity one:

x - 6 = 0

Zero(s) of multiplicity two:

x - 11 = 0

Zero(s) of multiplicity three:

x + 6 = 0 and x + 5 = 0

When evaluated, we have

Zero(s) of multiplicity one:

x = 6

Zero(s) of multiplicity two:

x = 11

Zero(s) of multiplicity three:

x = -6 and x = -5

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Answer:

x = 35

Important things to know:

1. A + (x + 110) will equal 180 degrees

2. The interior angles of a triangle will equal 180 degrees.

With these two pieces of knowledge, you can substitute the value of A as "180 - (x+110)" because A = 180-(x+110)

Step-by-step explanation:

Answer:

a = 3.31ft.

Step-by-step explanation:

The opposite is 3.31 feet.

Please let me know if this helped!!!

Copying the data set into another program allows you to leverage the capabilities of that program for Statistical analysis.

The provided data set can be copied into another program, such as a spreadsheet or a statistical software program, to perform various data analysis tasks. Let's explore some common operations that can be performed using the data set.

1. Descriptive Statistics: By copying the data set into a spreadsheet or statistical software, you can calculate various descriptive statistics, such as the mean, median, mode, standard deviation, and range of the data. These statistics provide insights into the central tendency, variability, and distribution of the data.

A

1   4

2   8

3   9

4   5

5   2

6   7

7   7

8   5

9   8

2. Data Visualization: Once the data set is copied, you can create visualizations to better understand the data. This can include bar charts, histograms, line plots, or box plots, depending on the nature of the data and the insights you want to gain.

3. Data Manipulation: Copying the data set into a spreadsheet allows you to manipulate and transform the data as needed. You can perform operations like sorting, filtering, grouping, and calculating new variables based on existing ones. This enables you to extract meaningful information from the data set.

4. Statistical Analysis: If you are using statistical software, you can conduct advanced statistical analyses on the data set. This may involve regression analysis, hypothesis testing, analysis of variance (ANOVA), or clustering techniques, depending on the specific research question or objective.

5. Data Integration: If you have additional data sets or variables related to the given data set, copying it into a program allows you to merge or join different data sets, thereby enriching the analysis and providing a more comprehensive understanding of the data.

Overall, copying the data set into another program empowers you to perform a wide range of data analysis tasks, enabling you to explore, understand, and draw meaningful insights from the data.

In summary, copying the data set into another program allows you to leverage the capabilities of that program for statistical analysis, calculations, and visualizations, enabling you to gain deeper insights and draw meaningful conclusions from the data.

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Answer:

Graph 1 is the answer

Maci and 2 appointments and Logan had 3 appointments.

The linear equation that represents the total amount earned by Maci is:

Total amount earned = (amount per appointment x number of appointments)  + tips

$170 = ($60 x a) + $50

$170 = $60a + $50

$170 - $50 = $60a

$120 = $60a

a = $120 / $60

a = 2

The linear equation that represents the total amount earned by Logan is:

Profit = total revenue - total cost

Profit = (fee per appointment  x number of appointments) + amount received in tips - (rental fee x number of appointments)

$235 = ($75 x a) + $40 - ($10 x a)

$235 = $75a + $40 - $10a

$235 = $65a + $40

$235 - $40 = $65a

$195 = $65a

a = $195 / 65

a = 3

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ANSWER

• Domain: all real values

• Range: all real positive values

• Asymptote: y = 0

• y-intercept: (0, a)

• The graph is continuous and smooth

EXPLANATION

The domain of this exponential function is all real values because x can take any real value without creating discontinuities.

The range, on the other hand, is all real positive values, not including zero. This is because y = 0 is a horizontal asymptote - i.e. an exponential function such as this cannot be zero.

We can also find the y-intercept, which is the point where the graph crosses the y-axis. This occurs when x = 0,

So the graph contains the point (0, a), which is the y-intercept.

Since there are no discontinuities or "jumps", the graph is continuous and smooth.

The end-behavior is given by the value of b. If b is between 0 and 1, the graph is decreasing and, if b is greater than 1, the graph is increasing.

Answer:

See below for proof

Step-by-step explanation:

\(\displaystyle \frac{\sin x}{1-\cos x}=\frac{\sin x(1+\cos x)}{(1-\cos x)(1+\cos x)}\\\\\frac{\sin x}{1-\cos x}=\frac{\sin x(1+\cos x)}{1-\cos^2 x}\\\\\frac{\sin x}{1-\cos x}=\frac{\sin x(1+\cos x)}{\sin^2 x}\\\\\frac{\sin x}{1-\cos x}=\frac{1+\cos x}{\sin x}\\\\\frac{\sin x}{1-\cos x}=\frac{1}{\sin x}+\frac{\cos x}{\sin x}\\\\\frac{\sin x}{1-\cos x}=\csc x+\cot x\)

Answer:

this one i dont know but ill try

a or 1 2744 cubed

Step-by-step explanation:

Given:

Base area = 196π cm²

Height of cylinder = diameter of base

To find:

Volume of cylinder

Steps:

First lets find the radius of cylinder,

Base area = πr²

        196π = πr²

          196 = r²                    (pi gets canceled)

            14 = r

Radius of cylinder is 14 cm

So, diameter of cylinder is 28 cm             (d= 2r = 2 * 14 = 28)

Therefore height of cylinder is 28 cm

Now lets find the volume of cylinder,

Volume of cylinder = Base area × height

= 196π × 28

= 5488π

= 5488 × π

= 17,241.1 cm cube

Therefore the volume of the cylinder is 17,241.1 cm³

Happy to help :)

If u didn't understand any topic, pls feel free to ask

-19.99; The line of best fit underpredicts the student's science test score.

So correct option is A.

A prediction is an estimation or forecast about future events or conditions, based on past data and trends, current information, and/or mathematical models. Predictions can be made in various fields, such as finance, weather, sports, social sciences, and natural sciences. The accuracy of predictions depends on many factors, including the quality of the data used, the assumptions made, the complexity of the system being analyzed, and the reliability of the methods used. Predictions are not always accurate and are often subject to revision as new information becomes available.

The predicted science score for the student with IQ 100 can be calculated using the line of best fit:

ŷ = −20.3 + 0.7489 * 100 = 71.59

The residual is the difference between the actual science test score and the predicted science score:

residual = actual score - predicted score = 52.6 - 71.59 = -19.99

So the line of best fit underpredicts the student's science test score by 19.99 points.

Therefore, the residual is:

-19.99; The line of best fit underpredicts the student's science test score.

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The distance between point P and line L is 16/9√(13).

To find the distance between point P and line L, we can use the formula for the distance between a point and a line in two-dimensional space. The formula is as follows:

Let P = (x1, y1) be the point and L be the line ax + by + c = 0. Then the distance between P and L is:

|ax1 + by1 + c|/√(a² + b²)

To find a, b, and c for the given line, we need to put it in slope-intercept form y = mx + b by solving for y.

2x - 3y = 12=> 2x - 12 = 3y=> (2/3)x - 4 = y

The slope of the line, m, is the coefficient of x, which is 2/3. Therefore, the line is:

y = (2/3)x - 4The values of a, b, and c are: a = 2/3b = -1c = -4

Now we can substitute the coordinates of P and the values of a, b, and c into the formula for the distance between a point and a line.

Let P = (3, 5).|a(3) + b(5) + c|/√(a² + b²)= |(2/3)(3) - 1(5) - 4|/√[(2/3)² + (-1)²]= |-4/3 - 4|/√(4/9 + 1)= 16/9√(13).

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Answer:

a) 295.2

Step-by-step explanation:

a) cross multiplication method

€1=£0.72

€410=x

x=€410×£0.72

Answer:

\(2\sqrt{x+1}-3\\domain:[-1, \infty)\)

Step-by-step explanation:

\(g(h(x)) = 2(\sqrt{x+1})-3\\g(h(x)) = 2\sqrt{x+1} - 3\\\)

the function is only defined when (x+1) >= 0 (since square root) so the domain is when x >= -1

\(\tan(y )=\cfrac{\stackrel{opposite}{6}}{\underset{adjacent}{4}} \implies \tan( y )= \cfrac{3}{2} \implies \tan^{-1}(~~\tan( y )~~) =\tan^{-1}\left( \cfrac{3}{2} \right) \\\\\\ y =\tan^{-1}\left( \cfrac{3}{2} \right)\implies y \approx 56.31^o \\\\[-0.35em] ~\dotfill\\\\ \tan(x )=\cfrac{\stackrel{opposite}{4}}{\underset{adjacent}{6}} \implies \tan( x )= \cfrac{2}{3} \implies \tan^{-1}(~~\tan( x )~~) =\tan^{-1}\left( \cfrac{2}{3} \right) \\\\\\ x =\tan^{-1}\left( \cfrac{2}{3} \right)\implies x \approx 33.69^o\)

Make sure your calculator is in Degree mode.

Answer:

the correct answer is 131

Step-by-step explanation:

5^3 +3(2)

= 125 +6

=131

Answer:

50

Step-by-step explanation:

the formula for Pythagorean theorem is A^2+B^2=C^2

14 squared is 196 48 squared is 2304 add them together u get 2500 and u have u get the sqrt of 2500 which is 50.

9514 1404 393

Answer:

  34.58 in

Step-by-step explanation:

Relative to the angle marked in this right triangle, the side given is the "adjacent" side, and the side length wanted is that of the hypotenuse. The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

Solving for the hypotenuse, we get ...

  NP = (29 in)/cos(33°) ≈ 34.58 in

Answer:

What's that exactly

Step-by-step explanation:

The length in each circle is:

(a) CD = 19.5 units

(b) UZ = 12.8 units

(a) The Intersecting Secant-Tangent Theorem states that "if two secant lines intersect outside a circle, and a tangent line is drawn from the point of intersection to the circle, then the product of the lengths of the two secant segments is equal to the square of the length of the tangent segment".

Using the theorem, we have:

EC * ED = EG²

6.5 * ED = 13²

6.5ED = 169

ED = 169/6.5

ED = 26 units

ED = EC + CD

26 = 6.5 + CD

CD = 26 - 6.5

CD = 19.5 units

(b) The Secant-Secant Theorem states that "if two secant segments which share an endpoint outside of the circle, the product of one secant segment and its external segment is equal to the product of the other secant segment and its external segment".

Using the theorem above, we can say:

UZ * UW = UX * UY

UZ * 40 = 8 * 64

40UZ = 512

UZ = 512/40

UZ = 12.8 units

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Answer:

80

Step-by-step explanation:

Each boy can be sketched with all of the girls so. 8*10=80

Step-by-step explanation:

12x-5=91°

12x=91+5

x =96

12

x=8°

hope it helps.

The monthly payment for purchasing the home will be $457.85.

The term loan refers to a sort of credit vehicle in which a sum of money is lent to another party in exchange for the value or principal amount being repaid in the future.

Then the formula of monthly payment (MP) will be

\(\rm MP = P \times \dfrac{r(1+r)^n}{(1+r)^n - 1}\\\)

In order to purchase a home, a family borrows $110,000 at 2.9% for 30 years.

We have

P = $110,000

r = 0.029 / 12 = 0.0024

n = 30 × 12 = 360

Then the monthly payment will be

\(\rm MP = 110,000\times \dfrac{0.0024(1+0.0024)^{360}}{(1+0.0024)^{360} - 1}\\\\\)

On further solving, we have

MP = 110000 × 0.0024 × 1.723

MP = $ 457.85

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Using an online finance calculator, the yield to maturity (YTM) of the Ashburn Company's bond at a coupon rate of 8.9 percent paying semiannual interest and selling at 113% of par value is 7.45%.

The Yield to maturity (YTM) is the total return, expressed as an annual rate, anticipated by a bondholder on a bond if it is held until its maturity date.

The maturity date refers to the date when the principal of a fixed investment is repaid at the maturity value.

The yield to maturity can also be computed using the following formula:

YTM = [(Face value/Bond price)1/Time period]-1.

Face (par) value = $100

Bond current price = $113 ($100 x 113%)

Annual coupon rate = 8.9%

Coupon frequency = Semi-annually

Years to maturity = 15 years

Result:

Yield to maturity (YTM) = 7.45%

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Answer:

the y-intercept is -18

Step-by-step explanation:

hope i couldve help :)

The probability that a point chosen at random lies on the shaded region is given as follows:

4/7.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

The area of the shaded region in this problem is given as follows:

4² = 16.

The total area of the figure is given as follows:

16 + 2 x 1/2 x 3 x 4 = 28.

Hence the probability is given as follows:

16/28 = 4/7.

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Answer:

$10,574.40

Step-by-step explanation:

$10,574.40 is already rounded to two decimal places. Rounding to two decimal places means rounding to the hundredths place.