What are the values of t and u?
t = ?°
u= ?°

Answer:

4 dimes

2 nickels

Step-by-step explanation:

Answer:

4 dimes 2 nickels

Step-by-step explanation:

Answer:

3.775

Step-by-step explanation:

Answer:

3.775 OR 151/40 OR 3 31/40

Step-By-Step Explanation:

Subtract 8 2/5 by 4 5/8

A reflection over a line l  moves every point P  of the plane to the point P ′  on the perpendicular from  P to the line l and on the same distance from l .

If the line is the  x  -axis, a point P  =  ( p 1   p 2 )  moves to the point  P ′  =  ( p 1 , − p 2 ) .

The image of the triangle A B C  is the triangle  A ′ B ′ C ′ with  B ′  =  ( 9 , − 5 )

Answer:

28

Step-by-step explanation:

The two digit numbers less than 50 that when divided by 5 have a remainder of three are: 13, 18, 23, 28, 33, 38, 43, and 38.

Since the number must be evenly divisible by 2, you can remove the odd answers which leaves you with 18, 28, 38, and 48.

The only one that has a remainder of 1 when divided by 3 is 28.

ANSWER:

28

28÷2=14

28÷3=9 with  remainder of 1

28÷5=5 with a remainder of 3

The value of dy/dx is -cotθ, d^2y/dx^2 is -6cosec³θ, slope is -cotθ, concavity is -6cosec³θ.

Parametric Equations Point x = 6cosθ, y = 6sinθ and θ = π/4

We have to determine the value of dy/dx.

We can define dy/dx as;

dy/dx = (dy/dθ)/(dx/dθ)

We first define dy/dθ and dx/dθ.

x = 6cosθ                             y = 6sinθ

dx/dθ = -6sinθ                     dy/dθ = 6cosθ

Now put the value

dy/dx = 6cosθ/(-6sinθ)

dy/dx = -cotθ

Now we have to determine the value of d²y/dx².

d²y/dx² = d/dx(dy/dx)

We can write it as

d²y/dx² = \(\frac{\frac{d}{d\theta}(\frac{dy}{dx})}{dx/d\theta}\)

We first determine the value of d/dθ(dy/dx)

d/dθ(dy/dx) = d/dθ(-cotθ)

d/dθ(dy/dx) = cosec²θ

Now put the value

d²y/dx² = cosec²θ/(-6sinθ)

d²y/dx² = -6cosec³θ

Now we have to determine the slope.

Slope = dy/dx

Slope = -cotθ

Now we have to determine the concavity.

Concavity = d²y/dx²

Concavity = -6cosec³θ

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Answer:

42

Step-by-step explanation:

Rectangle: A = 6 x 5 = 30

Triangle: A = 1/2(6 x 4) = 12

Area of figure: 30 + 12 = 42

Answer:

Step-by-step explanation:

Sandbox has dimensions x and y.

We have:

Substitute x and solve for y:

Find x:

Answer:

7.28

Step-by-step explanation:

Answer: 7.28

Step-by-step explanation:

height= 6 cm

base= 10 cm

the area of the parallelogram.

\(formula = bh\)

\(a = 6 \times 10\)

\(a = 60 {cm}^{2} \)

therefore, the area of the parallelogram is 60 square centimeters.

answer= option c.

Answer: I WOULD SAY 45%

Step-by-step explanation:

The percentage increase in miles per gallon from Toyota city driving to highway driving is 33.33%.

The percentage increase in miles per gallon from Toyota city driving to highway driving can be calculated using the formula:

Percentage increase = ((new value - old value) / old value) x 100

Let's say the old miles per gallon for city driving is 30 and the new miles per gallon for highway driving is 40:

Therefore, there is a 33.33% increase in miles per gallon from Toyota city driving to highway driving.

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The equivalent expression to the sentence "9 more than the quotient of x and 5" is given as follows:

x/5 + 9.

The sentence in the context of this problem is defined as follows:

"9 more than the quotient of x and 5"

The quotient of x and 5 is given by the division of x by 5, as follows:

x/5.

9 more means that 9 is added to the quotient of x and 5, hence the equivalent expression to the sentence "9 more than the quotient of x and 5" is given as follows:

x/5 + 9.

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Answer:

2 fruits

Step-by-step explanation:

That's because bananas and pears are two different fruits

Answer:

1  7/20 pounds

Step-by-step explanation:

3/4 + 3/5

Use common denominator of 20

15/20 + 12/20

Add numerators

27/20

Reduce

1  7/20 pounds

The properties of quadratic functions cause this "death ray" effect is discussed below.

The "death ray" effect refers to the phenomenon where a quadratic function appears to have a sharp point or vertex that shoots off to infinity in a graph. This effect is caused by the properties of quadratic functions, specifically:

The degree of the quadratic function: Quadratic functions have a degree of 2, which means they have a leading term that is a squared variable (x²). This leads to a graph that is a parabola.

The coefficient of the squared term: The coefficient of the squared term in the quadratic function determines the shape of the parabola. If the coefficient is positive, the parabola opens upward, and if the coefficient is negative, the parabola opens downward.

However, when the coefficient of the squared term is negative (a < 0), the graph of the quadratic function opens downward, and the vertex represents the maximum point of the parabola.

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1a)The total direct manufacturing cost incurred to make 14,000 units is $162,400.

1b)The total indirect manufacturing cost incurred to make 14,000 units is $99,400.

2a)The total manufacturing cost directly traceable to the Manufacturing Department is $261,800.

2b)The total fixed portion of the sales representatives’ compensation is $14,000.

3a)The total direct selling expense that can be readily traced to individual sales representatives is $32,200.

3b)The total fixed portion of the sales representatives’ compensation is $14,000.

Cost Accounting is a procedure in which raw data are refined and provides information to the management which plays an important role in the decisions to be taken. The product costs and cost of services can be ascertained with the help of cost accounting.

In variable costing only the manufacturing costs which vary with the output are treated as product costs. As such only the variable part of the manufacturing cost like direct materials, direct labor and variable portion of manufacturing overhead is treated as product cost.

The costs which are incurred for the production of a product are product costs. The costs which are the considered and included in the product costs are direct materials, direct labor and manufacturing overhead.

The costs which are expensed when incurred are referred to as period costs. These costs are not capitalized. These costs are not considered as a part of cost of goods sold. It includes selling expenses, advertising expenses, depreciation expense etc.

Those costs which remain constant and do not change with the changes in the level of activity are known as fixed costs. It is also referred to as time-related costs. Examples of fixed expense are: Fixed factory overhead, Fixed selling and administrative expense, Depreciation, Property taxes.

When the manufacturing department is the cost object, then in such a case the cost incurred for manufacturing the product also includes the manufacturing overhead costs. Such costs are to be directly traced to the products. So, the total direct manufacturing cost incurred is computed by multiplying the cost per unit obtained by adding the direct materials, direct labor, variable manufacturing cost per unit and fixed manufacturing cost per unit by the number of units. Therefore, the total direct manufacturing cost incurred to make 14,000 units is $261,800.

When the manufacturing department is the cost object, then the costs incurred in the manufacturing department is to be allocated to the products directly. Such costs are directly traceable to the products. When the cost object is Manufacturing Department then the indirect manufacturing costs does not exist because the costs are traceable to the Manufacturing Department easily. Therefore, the manufacturing costs are not to be considered as indirect costs when the Manufacturing Department is the cost object.

The total fixed selling expense is computed by multiplying the fixed selling expense per unit by the number of units. Then, the amount of advertising expense is deducted from the total fixed selling expense to compute the fixed portion of the sales representatives’ compensation. Therefore, the amount of fixed portion of the sales representatives’ compensation is $14,000.

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Answer:

If you mean multiply by three when you say “three times”, then 3.

If you mean 1 to the third power when you say “three times”, then 1.

Step-by-step explanation:

1 x 1 x 1 x 1=1 is 1 to the fourth power.

If you mean multiply by three when you say “three times”, then 1x3=3.

If you mean 1 to the third power when you say “three times”, then 1x1x1=1.

The value of the variable 'w' for the given equation 7 ( w + 7 )³ = 7(6³)  is equal to w = -1.

As given in the question,

Given equation is equal to :

7 ( w + 7 )³ = 7(6³)

Divide both the side of the equation by 7 we get,

⇒ 7 ( w + 7 )³ / 7 = 7(6³) /7

⇒( w + 7 )³ = (6³)  

Take cube root both the side of the equation we get,

⇒∛( w + 7 )³ = ∛(6³)  

⇒ w + 7 = 6

Now subtract 7 from both the side of the equation we get,

⇒w + 7 - 7 = 6 - 7

⇒ w = -1

Therefore, the value of the variable 'w' for the given equation is equal to w = -1.

The complete question is:

Solve this equation:

7 ( w + 7 )³ = 7(6³)

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The true statements are;

1) AB + BC = AC

Length of BC = |6 - 1|

2) ∠JMK = 50°

∠KML = 35°

1) From the given number line interval, we can deduce the interpretation as follows;

AB + BC = AC

Length of BC = 5 units or |6 - 1|

Length of B = 3 Units

2) We can see that ∠JML is an angle triangle. Thus, ∠JML = 85°. Thus;

6x + 2 + 4x + 3 = 85

10x + 5 = 85

10x = 85 - 5

10x = 80

x = 80/10

x = 8°

Thus;

∠JMK = 6(8) + 2

∠JMK = 50°

∠KML = 85° - 50°

∠KML = 35°

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Answer:

Explained below.

Step-by-step explanation:

The random variable X is defined as the number of missing pulses and follows a Poisson distribution with parameter (μ = 0.50).

The probability mass function of X is as follows:

\(P(X=x)=\frac{e^{-\mu}\ \mu^{x}}{x!};\ x=0,1,2,3...\)

(a)

Compute the probability that a disk has exactly one missing pulse as follows:

\(P(X=1)=\frac{e^{-0.50}\ 0.50^{1}}{1!}=0.3033\)

Thus, the probability that a disk has exactly one missing pulse is 0.3033.

(b)

Compute the probability that a disk has at least two missing pulses as follows:

\(P(X\geq 2)=1-P(X<2)\\\)

                \(=1-[P(X=0)+P(X=1)]\\=1-[\frac{e^{-0.50}\ 0.50^{0}}{0!}+\frac{e^{-0.50}\ 0.50^{1}}{1!}]\\=1-0.6065-0.3033\\=0.0902\)

Thus, the probability that a disk has at least two missing pulses is 0.0902.

(c)

It is provided that the two disks selected are independent of each other.

The probability that a disk has no missing pulses is:

\(P(X=0)=\frac{e^{-0.50}\ 0.50^{0}}{0!}=0.6065\)

Compute the probability that neither of the two disks contains a missing pulse as follows:

\(P(X_{1}=0,\ X_{2}=0)=P(X_{1}=0)\times P(X_{2}=0)\)

                               \(=0.6065\times 0.6065\\=0.367842\\\approx 0.3678\)

Thus, the probability that neither of the two disks contains a missing pulse is 0.3678.

Answer:

$1881.25

Step-by-step explanation:

Final cost of the computer

\( = 1750 + 7.5\% \: of \: 1750 \\ \\ = 1750 + 0.075 \times 1750 \\ \\ = 1750 + 131.25 \\ \\ = \$ 1,881.25\)

Answer:

6:5

Step-by-step explanation:

Answer:

15

Step-by-step explanat ố sion:

số sauơh on số truiwc 3 don vị

Answer:

£ 550

Step-by-step explanation:

C = p(t + 30)

C = 2(245 + 30)

C = 2 (275)                         [using order of operations]

C = 550

Hope this helps!

Answer:

C = £550

Step-by-step explanation:

Given the Cost formula, C = p(t + 30), and p = 2 and t = 245:

Plug in the values of p and t into the formula:

C = p(t + 30)

C = 2(245 + 30)

C = 2(275)

C = 550

Therefore, the total cost is £550.

Answer:

\(volume \ of \ cylinder = \pi r^2 h\)

\(volume (A) = 3.14 \times 4 \times 4 \times 12 = 602.88 cm^3\\\\volume (B) = 3.14 \times 10 \times 10 \times 8 = 2512 cm^3\)

Answer:

89/14

Step-by-step explanation:if you add all the numbers it is 28x+2=180 and so you subtract 2 from both sides so it is 28x=178 and 178/28=89/14

Answer:

Step-by-step explanation:

\(f(3,7)=\frac{3+7}{2(3)+7}=\frac{10}{13}\\f(4,4)=\frac{4+4}{2(4)+4}=\frac{8}{12}=\frac{2}{3}\\f(1,5)=\frac{1+5}{2(1)+5}=\frac{6}{7}\)

Using proportions, it is found that the total amount budgeted for entertainment is of $720.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

Researching the problem on the internet, it is found that the day trip amount is 10% of the budget for entertainment, hence:

0.1x = 72

x = 72/0.1

x = 720.

Hence the total amount budgeted for entertainment is of $720.

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Answer:

1. 144 m; 2. 720m²;

Step-by-step explanation:

1.

First we need to know how much edges are of the figure. Since there is 12, we need to multiple the length of an edge to how many of them are:

12 • 12 = 144 m

2.

Since one edge is 12 m, first calculate the plot of a little square (as there are 5 in the pic):

12 • 12 = 144 m² (one square)

Now we know that one square's plot is 144 m².

Since there is 5 of them, we need to multiply the plot 5 times, since there are five mini squares:

144 • 5 = 720 m²

Now we know the plot of the full figure.

Answer:

0.4521

Step-by-step explanation:

Answer:

0.4521

Hope this helps! :)