If a product normal retails for $40, and a customer has a coupon for 15% off, what will the discounted price of the product be?

Answer:

y = 64°

Step-by-step explanation:

From the picture attached,

m(∠E) = 90°

m(∠E) = m(∠D)

m(∠B) + 67° = 180° [pair of linear angles]

m(∠B) = 113°

m(∠C) + 75° = 180°

m(∠C) = 180° - 75°

           = 105°

Since, sum of interior angles of a polygon = (n - 2) × 180°

Here, n = number of sides

For n = 5,

Sum of interior angles = (5 - 2) × 180°

                                     = 540°

m(∠A) + m(∠B) + m(∠C) + m(∠D) + m(∠E) = 540°

m(∠A) + 113° + 105° + m(∠D) + 90° = 540°

(m∠D) + m(∠D) = 540 - 308 [Since, m(∠A) = m(∠D)]

2(m∠D) = 232

m(∠D) = 116°

m(∠D) + y° = 180° [Linear pair of angles]

116 + y = 180

y = 64°

It is influenced by the independent variables, such as the presence or absence of ammonium nitrate and the duration of light exposure.

Therefore, the correct answer is B. A dependent variable.

Here, we have,

In this experiment, the dependent variable is the variable being measured or observed as the outcome.

It is what we are interested in studying and can be influenced by the independent variables.

In the given scenario, the height of the plants is being monitored over the four weeks.

This height measurement is the outcome of the experiment and is the dependent variable.

It is influenced by the independent variables, such as the presence or absence of ammonium nitrate and the duration of light exposure.

Therefore, the correct answer is B. A dependent variable.

To learn more on experiment click:

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Answer:

7x + 14

Step-by-step explanation:

the first thing to do is expand the parentheses/brackets.

3(5x + 2) -2(4x - 4) will be

3(5x) + 3(2) -2(4x) -2(-4)

= 15x + 6 - 8x + 8

collect like terms

15x - 8x + 6 + 8 = 7x + 14

the answer is 7x + 14

Answer:

3(5x+2)-2(4x-4)

15x+6-8x+8

15x-8x+6+8

7x+14

Answer:

Step-by-step explanation:

In the simplest way, the domain of a function is basically all of the possible values of the input variable or x-axis in a graph. While the range of a function would be all of the real possible outputs that the function can create. In a graph this would be all of the possible values for the y-axis. For example, in the following function...

y = 4x + 3

The domain of this function would be any and all values for x, while the range of the function would be any and all values that the function can output for y.

Hi there!  

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I believe your answer is:  

Option C

»»————-　★　————-««  

Here’s why:

⸻⸻⸻⸻  

[tex]\text{\underline{The Slope Formula Is:}}\\\\m=\frac{y_2-y_1}{x_2-x_1}\\\\(x_1,y_1)\text{ and } (x_2,y_2)\text{ are two points given.}\\\\\text{We are given the points: } (3,5) \text{ and } (9,2).\\\\\text{\underline{The formula for the points should be:}}\\\\m=\frac{5-2}{3-9}, \text{where } (9,2) \text{ is }(x_1,y_1)\text{ and } (3,5) \text{ is } (x_2,y_2).[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

10feet

Step-by-step explanation:

Given the following

Horizontal distance adjacent )= 15feet

Angle of elevation = 33.69°

Required

Height (opposite)

Using the SOH CAHTOA identity

tan theta = opposite/adjacent

tan 33.69 = H/15

H = 15tan33.69

H = 15(0.6667)

H = 9.999

H = 10feet to the nearesst foot

Answer:

( h + 5 )^2 + ( y - 8 ) ^2 = 49

Step-by-step explanation:

Equation of a circle:

( x - h )^2 + ( y - k )^2 = r^2

Where ( h , k ) = center and r = radius

We are given that the circle has a center at ( -5 , 8 ) meaning that h = -5 and k = 8

We are also given that the circle has a radius of 7 meaning that r = 7

Now that we have identified each variable we plug the values into the equation

( h - (-5)^2 + ( y - 8 )^2 = 7^2

Our final step is to simplify

we get that the equation of the circle is

( h + 5 )^2 + ( y - 8 ) ^2 = 49

By the way ^ means exponent

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

Explanation:

The terminal point is at (x,y) = (3,-4)

Apply the pythagorean theorem to find that x^2+y^2 = r^2 solves to r = 5. This is the length of the hypotenuse.

Then we can determine the cosecant of the angle theta using the formula below

csc(theta) = hypotenuse/opposite

csc(theta) = r/y

csc(theta) = 5/(-4)

csc(theta) = -5/4

Side note: csc = 1/sin

Answer:

n/5 = 18

Step-by-step explanation:

Quotient means division.

n/5 = 18

Answer:

its b because when subtract 30-24=6

Answer:

if he is the to form a 666

Step-by-step explanation:

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Answer:

A = 50.2 cm^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2  where r is the radius

A = (3.14) * 4^2

A =50.24

To 1 decimal place

A = 50.2 cm^2

Answer:

50.3 cm^2 to 1 dec. place.

Step-by-step explanation:

Area = pi r^2

= pi * 4^2

= 16 * pi

= 50.265

Answer:

They should warranty the product for 7 years if they want no more than 6.7% of the waffle irons to fail within that time.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The average waffle iron lasts for 12 years and one standard deviation is 8 months.

Measuring the time in months, we have that [tex]\mu = 12*8 = 96[/tex] and [tex]\sigma = 8[/tex]

How long should they warranty the product for if they want no more than 6.7% of the waffle irons to fail within that time?

This is X when Z has a p-value of 0.067, so X when Z = -1.5. Then

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.5 = \frac{X - 96}{8}[/tex]

[tex]X - 96 = -1.5*8[/tex]

[tex]X = 84[/tex]

84 months = 7 years.

They should warranty the product for 7 years if they want no more than 6.7% of the waffle irons to fail within that time.

Answer:

3 1/2 hours

Step-by-step explanation:

time = distance/speed

440/110 = 4 hours

440/880 = 1/2 hours

4 minus 1/2 is 3 1/2

Answer:

hi

Step-by-step explanation:

i just need some points sorry not sorry

Answer:

here is your answer

Step-by-step explanation:

here is your answer

Answer:

[tex]{ \tt{ {x}^{2} + 4x + 3 = 0}} \\ { \tt{(x + 1)(x + 3) = 0}} \\ \\ { \tt{x = - 1 \: \: and \: \: - 3}}[/tex]

Answer:

a. H0: μ<14

H1: μ≥14

Step-by-step explanation:

Mean symbol:

The mean symbol is given by [tex]\mu[/tex]

A cereal company claims that the mean weight of the cereal in its packets is at least 14 oz.

At the null hypothesis, we test if the proportion is of less than 14 oz, that is:

[tex]H_0: \mu < 14[/tex]

At the alternative hypothesis, we test if this proportion is of at least 14 oz, that is:

[tex]H_1: \mu \geq 14[/tex]

So the correct answer is given by option a.

Answer:

[tex]0.\overline{369} = \frac{41}{111}[/tex]

Step-by-step explanation:

x = 0.369369369...

10x = 3.69369369...

100x = 36.9369369...

1000x = 369.369369...

1000x - x = 369

999x = 369

[tex]x = \frac{369}{999} \\\\x = \frac{123}{333}\\\\x = \frac{41}{111}[/tex]

Answer: the numbers with the plus sign are positive and the ones with the negative sign are negative

Step-by-step explanation:

Answer: C

Step-by-step explanation:

See diagram above

9514 1404 393

Answer:

  yes

Step-by-step explanation:

Yes, the turning point at (-4, -16) is a local minimum. It is a minimum because the curve goes upward either side of it. It is local (not global) because the curve has values that are lower than -16 at other values of x.

__

Similarly, the point (4, 16) is a local maximum.

9514 1404 393

Answer:

  D.  21/2

Step-by-step explanation:

It is probably easiest to add up the three terms.

For n=1, the first term is ...

  8(1/4)^(0) = 8

The second term is ...

  8(1/4)^1 = 2

The third term is ...

  8(1/4)^2 = 8/16 = 1/2

The sum of the series is ...

  8 + 2 + 1/2 = (16 +4 +1)/2 = 21/2

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

Explanation:

The radius of each sphere is r = 3

The volume of one sphere is

V = (4/3)*pi*r^3

V = (4/3)*pi*3^3

V = 36pi

That's the volume of one sphere.

Three spheres take up 3*36pi = 108pi cm^3 of space.

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

The radius of the cylinder is also r = 3, since each tennis ball fits perfectly in the container.

The height is h = 18 because we have each ball with a diameter 6, which leads to the three of them stacking to 3*6 = 18.

The volume of the cylinder is...

V = pi*r^2*h

V = pi*3^2*18

V = 162pi

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

Subtract the volume of the cylinder and the combined volume of the spheres:  162pi - 108pi = (162-108)pi = 54pi

This is the exact volume of empty space inside the can.

This points to choice A as the final answer

Answer:

9/10

Step-by-step explanation:

y2-y1÷x2-x1

-18-0/-12-8

-18/-20

9/10

Answer:10/9

Step-by-step explanation:You do y2-y1 over x^2-x^1 and you get 10/9

Answer:

[tex]P (1.41 < z < 2.85) = 0.0771[/tex]

Step-by-step explanation:

Required

[tex]P (1.41 < z < 2.85)[/tex]

This is calculated as:

[tex]P (1.41 < z < 2.85) = P(z < 2.85) - P(z < 1.41)[/tex]

From z probabilities:

[tex]P(z < 2.85) = 0.99781[/tex]

[tex]P(z < 1.41) = 0.92073[/tex]

So, we have:

[tex]P (1.41 < z < 2.85) = 0.99781 - 0.92073[/tex]

[tex]P (1.41 < z < 2.85) = 0.07708[/tex]

Approximate

[tex]P (1.41 < z < 2.85) = 0.0771[/tex]

Answer:

Step-by-step explanation:

If a point (x, y) is reflected across a line, image of the point will be at the same distance from the line as the original point is.

In fact line of reflection works like a mirror.

In the figure attached,

Distance of point B from the line 'm' = 6 units

Therefore, distance of the image point B' from line 'm' = 6 units (on opposite side of the line of reflection)

Answer:

381 cm³

Step-by-step explanation:

Volume of the pot = volume of a cylinder

Volume of the pot = πr²h

Where,

π = 3.14

radius (r) = 4.5 cm

h = 6 cm

Substitute

Volume of the pot = 3.14*4.5²*6

Volume of the pot = 381.51 ≈ 381 cm³ (nearest whole number)

Answer:

(3x+2)^2+1

Step-by-step explanation:

Answer:

a) A =   [tex]\left[\begin{array}{ccc}1&0\\0&0\\0&1\end{array}\right][/tex] 3*2

b) attached below ( Matrix dose not exist )

c) attached below  ( Matrix does not exist )

Step-by-step explanation:

a) Matrix

A =   [tex]\left[\begin{array}{ccc}1&0\\0&0\\0&1\end{array}\right][/tex] 3*2

From the matrix ; Column 1 and Column 2 Belong to COL(A)

while : (1,1)^T  =  ( 1,0 )^T +  ( 0,1 )^T  i.e. (1,1)^T  ∈  Row( A )

and (1, 2)^T. = ( 1,0 )^T + 2 ( 0,1 )^T   i.e. (1, 2)^T  ∈  Row( A )

Hence ; all requirements are fulfilled in Matrix A

b)  The column space is generated by (1,1,1)7T, the null space (or kernel) is generated by (1,2,3)T

Matrix is Non-existent because condition is not met

attached below

c) Rank | A |

dimension of column space= 4 , dimension of Row space = 3

Given that ; column space ≠ Row space

Hence Matrix does not exist