What is the measure of the third angle?

Answer: -2

Step-by-step explanation:

The graph passes through (-2, 3) and (4, -9).

So, the average rate of change is [tex]\frac{-9-3}{4-(-2)}=\boxed{-2}[/tex]

Step-by-step explanation:

it's 2x²+8x

and I cannot understand your question

Answer:

x = - 6, x = - 1

Step-by-step explanation:

[tex]\frac{2x}{x+2}[/tex] = - [tex]\frac{6}{x+4}[/tex] ( cross- multiply )

2x(x + 4) = - 6(x + 2) ← distribute parenthesis on both sides )

2x² + 8x = - 6x - 12 ( subtract - 6x - 12 from both sides )

2x² + 14x + 12 = 0 ( divide through by 2 )

x² + 7x + 6 = 0 ← in standard form

(x + 6)(x + 1) = 0 ← in factored form

equate each factor to zero and solve for x

x + 6 = 0 ⇒ x = - 6

x + 1 = 0 ⇒ x = - 1

a) The target cost for Model J20, assuming that the historical markup on product cost and selling price is maintained, is $200 per unit.

b) The required cost reduction per unit is $30 per unit ($230 - $200).

c) An evaluation of the three engineering improvements together to determine if the required cost reduction (drift) can be achieved as follows:

While the calculated cost reduction, including direct materials, is $25, the required reduction to achieve the target markup cost is $30.

Thus, the expected target cost reduction does not add up with the calculated cost reduction, envisaged by the engineers.

Model J20 Selling price per unit = $460

Direct materials $175

Direct labor 40

Factory overhead 15

Total $230

Direct labor rate = $30 per hour

Direct labor rate per minute = $0.50 ($30/60)

Direct labor hours per unit = 1¹/₃ hours ($40/$30) or 80 minutes

Normal direct labor time = 80 minutes

Plastic printer cover =        -15 minutes

Total new direct labor time = 65 minutes

Direct labor rate per unit = $32.50 ($0.5 x 65)

Additional inspection time = 6 minutes

Injection molding machine = 1 minute

Direct materials cost = $155 ($175 - $20)

Historical markup = 200% ($460/$230 x 100)

Target cost based on historical markup = $200 ($400 x 100/200)

Required cost reduction per unit is $30 per unit ($230 - $200)

1. Direct labor reduction of $7.50 per unit ($40 - $32.50)

2. Additional inspection $3 per unit (6 x $0.50)

3. Injection molding productivity improvement $0.50 per unit

4. Material cost reduction = $20

Total savings are $25 per unit ($7.50 - $3 + $0.50 + $20).

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Answer:

I don't know what are you saying bro

Answer:

A:The Reqd. No. of Permutations=3360

Step-by-step explanation:

I couldn’t find the answer to B..sorry

Answer: u - 8 = -9

Step-by-step explanation:

Given equation

-7u - 5 = 2

Add 5 on both sides

-7u - 5 + 5 = 2 + 5

-7u = 7

Divide -7 on both sides

-7u / (-7) = 7 / (-7)

u = -1

Substitute values into the goal expression

u - 8 = (-1) - 8 = [tex]\Large\boxed{-9}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

The answer is -9.

First, let's find the value of u.

Now, substitute in the expression.

The number of kilometres travelled by the satellite in discuss in which case, the satellite makes 8 revolutions around the earth is; C = 177,271.8 km.

Given from the task content, the earth's diameter is; 6371 km and since, the height at which the satellite orbits the earth is; 343km, it follows that the diameter of orbit if the satellite in discuss is;

D = 6371 + (343)×2

Hence, we have; diameter, D = 7057 km.

Hence, the distance travelled after 8 revolutions is;

C = 8 × πd

C = 8 × 3.14 × 7057

C = 177,271.8 km.

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Expanding the desired form, we have

[tex]A \sin(\omega t + \phi) = A \bigg(\sin(\omega t) \cos(\phi) + \cos(\omega t) \sin(\phi)\bigg)[/tex]

and matching it up with the given expression, we see that

[tex]\begin{cases} A \sin(\omega t) \cos(\phi) = 2 \sin(4\pi t) \\ A \cos(\omega t) \sin(\phi) = 5 \cos(4\pi t) \end{cases}[/tex]

A natural choice for one of the symbols is [tex]\omega = 4\pi[/tex]. Then

[tex]\begin{cases} A \cos(\phi) = 2 \\ A \sin(\phi) = 5 \end{cases}[/tex]

Use the Pythagorean identity to eliminate [tex]\phi[/tex].

[tex](A\cos(\phi))^2 + (A\sin(\phi))^2 = A^2 \cos^2(\phi) + A^2 \sin^2(\phi) = A^2 (\cos^2(\phi) + \sin^2(\phi)) = A^2[/tex]

so that

[tex]A^2 = 2^2 + 5^2 = 29 \implies A = \pm\sqrt{29}[/tex]

Use the definition of tangent to eliminate [tex]A[/tex].

[tex]\tan(\phi) = \dfrac{\sin(\phi)}{\cos(\phi)} = \dfrac{A\sin(\phi)}{\cos(\phi)}[/tex]

so that

[tex]\tan(\phi) = \dfrac52 \implies \phi = \tan^{-1}\left(\dfrac52\right)[/tex]

We end up with

[tex]y(t) = 2 \sin(4\pi t) + 5 \cos(4\pi t) = \boxed{\pm\sqrt{29} \sin\left(4\pi t + \tan^{-1}\left(\dfrac52\right)\right)}[/tex]

where

• amplitude:

[tex]|A| = \boxed{\sqrt{29}}[/tex]

• angular frequency:

[tex]\boxed{4\pi}[/tex]

• phase shift:

[tex]4\pi t + \tan^{-1}\left(\dfrac 52\right) = 4\pi \left(t + \boxed{\frac1{4\pi} \tan^{-1}\left(\frac52\right)}\,\right)[/tex]

Answer:

Each Cat video gets 750 comments

Each dog video gets 450 comments

Hope this helps you!

Answer:

He gets 750 comments on the cat videos and 450 on the dog videos the answer to the second question is yes

Step-by-step explanation:

khan :)

The amount of money which you must invest today is equal to $68,517.85.

Mathematically, the present value of an investment can be calculated by using this formula:

Present Value, PV = FV/(1 + r)^t

Given the following data:

Time, t = 9 years.

Future value, FA = $190,000.

Interest rate, r = 12% = 0.12.

Substituting the given parameters into the formula, we have;

PV = 190,000/(1 + 0.12)^9

PV = 190,000/(1.12)^9

PV = 190,000/2.7730

PV = $68,517.85.

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Answer:

A = 8000

B = 4000

C = 12000

Step-by-step explanation:

$24000 = A,B and C

A = 2B

B = 1/3C

solve for the letter that gets described the most

that letter is B

A =2B

B = 1/3C -> C = 3B

24000 = A + B + C

24000 = 2B + B + 3B

24000 = 6B

B = 4000

A =2B = 8000

C = 3B = 12000

Your answers seem to be on the right track. These online homework apps can be picky about the answer they accept, though.

Given [tex]f(x) = x^4 - 2x^2 + 3[/tex], we have derivative

[tex]f'(x) = 4x^3 - 4x = 4x (x^2 - 1) = 4x (x - 1) (x + 1)[/tex]

with critical points when [tex]f'(x) = 0[/tex]; this happens when [tex]x=0[/tex] or [tex]x=\pm1[/tex].

We also have second derivative

[tex]f''(x) = 12x^2 - 4 = 12 \left(x^2-\dfrac13\right) = 12 \left(x - \dfrac1{\sqrt3}\right) \left(x + \dfrac1{\sqrt3}\right)[/tex]

with (possible) inflection points when [tex]x=\pm\frac1{\sqrt3}=\pm\frac{\sqrt3}3[/tex].

Intercept

If "intercept" specifically means [tex]y[/tex]-intercept, what you have is correct. Setting [tex]x=0[/tex] gives [tex]f(0) = 3[/tex], so the intercept is the point (0, 3).

They could also be expecting the [tex]x[/tex]-intercepts, in which case we set [tex]f(x)=0[/tex] and solve for [tex]x[/tex]. However, we have

[tex]x^4 - 2x^2 + 3 = \left(x^2 - 1\right)^2 + 2[/tex]

and

[tex]x^2-1\ge-1 \implies (x^2-1)^2 \ge (-1)^2 = 1 \implies x^4-2x^2+3 \ge 2[/tex]

so there are no [tex]x[/tex]-intercepts to worry about.

Relative minima/maxima

Check the sign of the second derivative at each critical point.

[tex]f''(-1) = 8 > 0 \implies \text{rel. min.}[/tex]

[tex]f''(0) = -4 < 0 \implies \text{rel. max.}[/tex]

[tex]f''(1) = 8 > 0 \implies \text{rel. min.}[/tex]

So we have two relative minima at the points (-1, 2) and (1, 2), and a relative maximum at (0, 3).

Inflection points

Simply evaluate [tex]f[/tex] at each of the candidate inflection points found earlier.

[tex]f\left(-\dfrac{\sqrt3}3\right) = \dfrac{22}9[/tex]

[tex]f\left(\dfrac{\sqrt3}3\right) = \dfrac{22}9[/tex]

Answer:

Consider the table for y= |x+1| :

x   |   y

---------

0      1

1       2

2      3

-1      2

-2     3

This would give us the parent function of y=|x| but translated up one unit. It should look like a v starting at (0, 1)

Answer:

x= 14

Step-by-step explanation:

First (and only) we subtract 17 from both sides :

17 + x - 17 = 31 - 17

x = 31 - 17

x = 14

Hope this helped and have a good day

The answer is 14.

To solve this, only one step is required, which is : Subtract 17 from each side.

Answer:

x = 185 grams

Step-by-step explanation:

let 100% of the recommended daily amount = x

148 = 80%x

148 = 0.8x

divide by 0.8 both sides

x = 185

The coordinates of the center is at (1, 0) and the length of the radius is 4 units.

An equation is an expression that shows the relationship between two or more variables and numbers.

The standard form of a circle is:

(x - h)² + (y - k)² = r²

Where (h, k) is the center of the circle and r is the radius.

The coordinates of the center is at (1, 0) and the length of the radius is 4 units.

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Based on the stem and leaf plots given, the correct stem and leaf plot for the first table on per capita income is the third stem and leaf diagram.

For the table on the basketball tornament, the correct stem and leaf plot would be the last one.

First look at the key to the bottom right of the plot to see how to interpret the data.

The key on the third stem and lead plot says 1 I 2 = 12,000. This means that every steam and lead pairing is in thousands.

Based on the income per capita being in thousands, this is the most likely stem and lead plot for the first table on income per capita.

The second table about basketball tornament appearances is on single and double digits. Only a small stem and leaf key will do.

Look at the number of appearances. The minimum is 1. On a stem and leaf, this is shown as 0 I 1. Options A and B don't have this so we go to Options C and D.

As established, Option C is for data in their thousands so it is out. The correct stem and leaf plot is therefore Option D.

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Sim wants to increase his waist size to 32.4 inches.

Sim wants the increase to be 8% of 30 inches.

The amount of increase Sim wants in his waist size exists

8% × 30 inches.

= 0.08 × 30 inches.

= 2.4 inches.

Adding the wanted increase to his present size would create Sim's waist size to be

30 in + 2.4 in = 32.4 inches.

Sim wants to increase his waist size to 32.4 inches.

Therefore, the correct answer is 32.4 inches.

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The upper quartile for the given data is 51 .

Given data: {51,49,52,46,50,38,38,45,34,52,46}

Data in arranged form: {34,38,38,45,46,46,49,50,51,52,52}

Find the median first, then the upper quartile. There are eleven data points, thus look at term six to determine the median as there are five data points on any side. The median is 46 because the sixth term is 46.

The upper extreme, 52, and the median are then used to determine the upper quartile; make sure not to include the median data point when dividing the groups. The upper quartile is the third term (between the median and upper extreme) because there would be two data points on each side if there were only five data points from the median to the upper extreme. The third term, which is 51, falls into the upper quartile.

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Answer:

35.4m below sea level

Step-by-step explanation:

172.5 - 137.1 = 35.4

The shark's location is now 35.4m below sea level.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

For example 4 -2 = 2

Using the arithmetic operations of addition and subtraction, the shark's location is now in relation to sea level if the shark begins 172.5 meters below sea level and then swam up 137.1 meters.

Assume that distance below sea level is positive,

⇒ 172.5 - 137.1 = 35.4

Hence, the shark's location is now 35.4m below sea level.

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Answer:

Step-by-step explanation:

You worked 16 hours and 45 minutes

5 1/2 = 5 hours and 30 minutes

6 3/4 = 6 hours and 45 minutes

4 1/2 = 4 hours and 30 minutes

Add the hour and minutes.

5 hours 30 min + 4 hours 30 min = 10 hours

10 hours + 6 hours 45 min = 16 hours and 45 minutes

Answer:

5w^2 + 6w - 32

Step-by-step explanation:

Subtract as needed and combine like terms

(-2w^2 + 6w - 19) - (-7w^2 +13) dont forget to distribute the negative

so you get this:

-2w^2 + 7w^2 = 5w^2

6w

-19 - 13 = - 32

your answer is 5w^2 + 6w - 32

hope this helps :)

Hi :)

Let's solve by combining like terms

Combining like terms means you add or subtract

Solve by combining like terms

[tex]\implies\darkblue\sf{-2w^2+6w-19-(-7w^2+13)}\\\implies\darkblue\sf{-2w^2+6w-19+7w^2-13}\\\implies\darkblue\sf{-2w^2+7w^2+6w-19-13}\\\implies\darkblue\sf{\underline{5w^2+6w-32}}[/tex]

[tex]\tt{Learn\:More;Work\:Harder}[/tex]

:)

Answer:

choice C. Yes, this image proves the pythagorean theorem is true because 9 + 16 = 25

Step-by-step explanation:

Answer:

0.45 per egg

Step-by-step explanation:

since it's 3 dozen that mean it's gonna be 36 eggs divided by 16.20 so it's 0.45 per egg

The amount of money invested in stocks was $50000, $90000 was invested in bonds and $75000 was invested in CDs

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

Let x represent the amount of money invested in stocks, y represent bonds and z represent CDs, hence:

x + y + z = 215000     (1)

Also:

0.0225z + 0.02y + 0.092x = 8087.5    (2)

And:

y = 15000 + z    (3)

The solution of the equation is:

x = 50000, y = 90000 and z = 75000

The amount of money invested in stocks was $50000, $90000 was invested in bonds and $75000 was invested in CDs

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Answer: an improper fraction

Step-by-step explanation:  An improper fraction is a fraction that is larger than 1 7/3 is larger than one because 7, the numerator is larger than the denominator so 7/3 is an improper fraction

The original price of the item is $180

The values given in the question are;

Actual cost of the item Joyce bought= $108
The item was sold 40 percent off the original price

The original price can be calculated as follows

The first step is to subtract 40% from 100%

100%- 40%

= 60%

Let x represent the original price of the item

60/100x= 108

0.6x= 108

Divide both sides by the coefficient of x which is 0.6

0.6x/0.6= 108/0.6

x= 180

Thus, the original price of the item is $180

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Given the area and perimeter of the rectangular dining room, the dimensions of the dining room are 8m by 8m.

The area of rectangle is expressed as;

A = l × b

The perimeter of a rectangle is expressed as;

P = 2( l + b )

Given that;

We use the information given to form a system of equations.

A = l × b

64 = l × b

P = 2( l + b )

32 = 2( l + b )

Hence, we have;

64 = l × b --------- equ 1

32 = 2( l + b )-----equ 2

Lets make l the subject of the formula in equation 1

64 = l × b

l = 64/b -------------equ 3

Substitute equation 3 into equation 2

32 = 2( l + b )

32 = 2l + 2b

32 = 2(64/b) + 2b

32 = 128/b + 2b

Now, we solve for b.

32 = 128/b + 2b

32 - 2b = 128/b

32b - 2b² = 128

2b² - 32b + 128 = 0

We factor out 2

2( b² - 16b + 64) = 0

From perfect square rule

2( 8-b )² = 0

divide both side by 2 and take the square root of both side

( 8-b )² = 0

8-b = 0

b = 8

Substitute b=8 into equation 1

64 = l × b

64 = l × 8

l = 64/8

l = 8

Given the area and perimeter of the rectangular dining room, the dimensions of the dining room are 8m by 8m.

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