6.3x - 7.015 + 9.9 simplified

The solution to the given problem of volume comes out to be the pyramid is 10 cm tall.

The volume of a three-dimensional item, which is measured in cubic units, describes how much room it occupies. Liter and in3 are the symbols for cubic measures.

Here,

The formula: gives the volume of a pyramid.

=> V = base_area * height * (1/3)

The area of the base (base_area) of a pyramid whose base is a rectangle with dimensions of 7.5 cm in length and 2 cm in width can be computed as follows:

base_area equals length * width,

=> 7.5 cm * 2 cm =15 cm².

Additionally, we are informed that the pyramid's (V) volume is 50 cm3.

=> (1/3) * 15 * height = 50

=> height =  (3 * V)/base_area.

When V and base_area's values are entered, we obtain:

=> height = (15/15) / (3*50) = 10 cm

Consequently, the pyramid is 10 cm tall.

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Answer:

Let x = the cost of a movieLet y = the cost of a gameUsing these variables,

we can set up equations.3x + 5y = 42 eq19x + 7y = 72 eq2

We have here a system of equations, where we have two or more equations with two or more different variables.

We use the elimination method to solve for the variables.

Multiply eq1 by 3. Keep eq2.

9x + 15y = 126 eq1

9x + 7y = 72 eq2

Subtract eq2 from eq1 to eliminate the x terms.

8y = 54y  

= 6.75

This rental cost of one video game is $6.75

Substitute the value of y into eq1 to solve for x.

This will give you the rental cost of one movie.

Step-by-step explanation:

Answer: b and d (options 2 and 4)

Step-by-step explanation:

36 photos divided amongst ? pages with 6 on each page means that

#1 (p=6*36) is incorrect

#2 (36=p*6) is correct since the number of pages times 6 should equal 36

#3 (p=36*6) is essentially the first option and therefore incorrect

#4 (p=36/6) is correct because 36 pictures divided with 6 pictures on each page will give you the amount of pages

FYI, the amount of pages is 6.

Answer: The correct answers are the first and the fourth one.

Step-by-step explanation:

Answer:

2nd one I think

Step-by-step explanation:

First shape yz is 3 squares and second shape is 6 squares which is times by two and it is reflected on the y axis I think

The sequence diverges, and the limit as n approaches infinity for an = tan(6n^2 / (5+24n)) does not exist (DNE).

The given sequence is an = tan(6n^2 / (5+24n)). To determine if the sequence converges or diverges, we need to find the limit as n approaches infinity.

lim n→∞ an = lim n→∞ tan(6n^2 / (5+24n))

To evaluate this limit, let's examine the argument of the tangent function:
lim n→∞ (6n^2 / (5+24n))

As n approaches infinity, the dominant term in the denominator is 24n. Therefore, we can rewrite the limit as:
lim n→∞ (6n^2 / (24n))

Now, we can simplify by canceling out the 'n' term:
lim n→∞ (6n / 24)

Further simplification:
lim n→∞ (n / 4)

As n approaches infinity, the expression (n / 4) also approaches infinity. Therefore, the argument of the tangent function approaches infinity. The tangent function oscillates between positive and negative values as its argument increases, and it does not settle on a specific value. Consequently, the limit does not exist.

The sequence diverges, and the limit as n approaches infinity for an = tan(6n^2 / (5+24n)) does not exist (DNE).

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Answer:

The value of SU is 36

Step-by-step explanation:

So,

ST/SE = SU/SF

Here,

Let us take SU as x

Now,

ST/SE = SU/SF

39/13 = x/12

3 = x/12

Multiply 12 from both sides we get,

3 × 12 = x/12 × 12

36 = x

x = SU = 36

Thus, The value of SU is 36

ST/SE = SU/SF

39/13 = 36/12 = 3

{{{ THE BOLDED CHARACTERS SHOULD BE SMALL. }}}

A sequence can be generated by using an = a(n-1) - 5, where a1 = 100 and n is a whole number greater than 1.

a1 = 100 (given)

a2 = a1 - 5 = 100 - 5 = 95

a3 = a2 - 5 = 95 - 5 = 90

a4 = a3 - 5  = 90 - 5 = 85

a5 = a4 - 5 = 85 - 5 = 80

ANSWER for PART (a): 100, 95, 90, 85, 80

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

an = a1 + d(n - 1)

an = 100 + -5(n - 1)

an = 100 + -5n + 5

an = 105 - 5n

ANSWER for PART (b): an = 105 - 5n

Answer:

I agree with the person above me and here give him brainliest

Step-by-step explanation:

Answer:

$111.03

Step-by-step explanation:

79.98 + 31.05 = 111.03

Step-by-step explanation:

The answer is scalene triangle

Answer:

scalene

Step-by-step explanation:

all the sides of a scalene triangle have different lengths, as shown in the picture :)

The spreadsheet formulas for the indicated cells are:

The value in C9 can be found by the formula =sum(C:C8) because the values from C2 to C8 were added up.

The formula in D3 converts the value in C3 to percentages. D7 does that for C7.

E4 takes the sum of the number of rooms from C2 to C4 while F5 takes the sum of D2 to D5.

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Answer: 0.3

Hope this helps.

Answer:

0.3

Step-by-step explanation:

Using the Cramer's Rule, the solution of the given system of equation is (-17/11, 48/11)

The given system of equations are

10x+4y=2

-6x+2y=18

Solving the equations by using Cramer's rule.

We know that, the solution of a system of linear equations in two unknowns

a(1)x+b(1)y = c(1)

a(2)x+b(2)y = c(2)

is given by ∆x=∆1, and ∆y=∆2.

where,

\(\Delta=\text{det}\left [ \begin{matrix} a(1)&b(1) \\ a(2) & b(2)\end{matrix} \right ], \Delta(1)=\text{det}\left [ \begin{matrix} c(1)&b(1) \\ c(2) & b(2)\end{matrix} \right ]\text{ and }\Delta(2)=\text{det}\left [ \begin{matrix} a(1)&c(1) \\ a(2) & c(2)\end{matrix} \right ]\)

Since the given equations are;

10x+4y=2

-6x+2y=18

Now,

\(\Delta=\text{det}\left [ \begin{matrix} 10&4 \\ -6 & 2\end{matrix} \right ]\)

∆ = [(10×2)-(-6×4)]

∆ = 20+24

∆ = 44

\(\Delta(1)=\text{det}\left [ \begin{matrix} 2&4 \\ 18 & 2\end{matrix} \right ]\)

∆(1) = [(2×2)-(18×4)]

∆(1) = 4-72

∆(1) = -68

\(\Delta(2)=\text{det}\left [ \begin{matrix} 10&2 \\ -6 & 18\end{matrix} \right ]\)

∆(2) = [(10×18)-(-6×2)]

∆(2) = 180+12

∆(2) = 192

By Cramer's Rule,

∆x = ∆(1)

44 × x = -68

x = -68/44

x = -17/11

Now,

∆y = ∆(2)

44 × y = 192

y = 192/44

y = 48/11

Hence, the solution of the given system of equation is (-17/11, 48/11).

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The right question is:

Solve the system if possible by using Cramer's rule. If Cramer's rule does not apply, solve the system by using another method. Write all numbers as integers or simplified fractions.

10x+4y=2

-6x+2y=18

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

Explanation:

The angles SPT and TPU marked in red are congruent. They are congruent because of the similar arc markings.

Those angles add to the other angles to form a full 360 degree circle.

Let x be the measure of angle SPT and angle TPU.

86 + 154 + 60 + x + x = 360

300 + 2x = 360

2x = 360-300

2x = 60

x = 60/2

x = 30

Each red angle is 30 degrees.

Then,

angle SPQ = (angle SPT) + (angle TPU) + (angle UPQ)

angle SPQ = (30) + (30) + (86)

angle SPQ = 146 degrees

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

Another approach:

Notice that angles QPR and RPS add to 154+60 = 214 degrees, which is the piece just next to angle SPQ. Subtract from 360 to get:

360 - 214 = 146 degrees

The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

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The quadrature formula (a) is not of the interpolator type, while the quadrature formulas (b) and (c) are of the interpolator type.

A quadrature formula is said to be of the interpolator type if it can be expressed as a linear combination of function values at a finite set of distinct points. In other words, the formula should be exact for polynomials of degree at most n, where n is the number of points used in the formula.

For formula (a), we have 3/4 f(-1) + 5/4 f(1) as the weights for the function values at the two end-points. This formula cannot be exact for polynomials of degree 1 (or higher) since it only involves two function values, and hence it is not of the interpolator type.

For formula (b), we have f(-1) + f(1) as the weights for the function values at the two end-points. This formula is exact for linear functions, i.e., polynomials of degree 1, since it involves two function values, and hence it is of the interpolator type.

For formula (c), we have 2/3 f(0) + 8/3 f(2) + 2/3 f(4) as the weights for the function values at three distinct points. This formula is exact for polynomials of degree 2, i.e., quadratic polynomials, since it involves three function values, and hence it is of the interpolator type.

Therefore, the quadrature formula (a) is not of the interpolator type, while the quadrature formulas (b) and (c) are of the interpolator type

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In a nonequivalent control group interrupted time series design, the independent variable is studied as a factor that influences the dependent variable, while accounting for potential confounding factors. The design involves two groups: the treatment group, which receives the intervention or manipulation of the independent variable, and the nonequivalent control group, which does not receive the intervention.

The control group serves as a comparison for assessing the impact of the independent variable on the treatment group. By comparing the outcomes of both groups over a series of time points before and after the intervention, researchers can analyze the effect of the independent variable while minimizing the influence of extraneous factors.

This design is particularly useful when random assignment of participants to the treatment and control groups is not feasible, as it helps to control for potential threats to internal validity. By using an interrupted time series approach, the researcher can better understand the patterns of change in the dependent variable and establish a causal relationship between the independent variable and the observed outcomes.

In summary, in a nonequivalent control group interrupted time series design, the independent variable is studied as a factor that affects the dependent variable, while using a control group to account for potential confounding factors and enhance the validity of the findings.

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The changes in weights (b) did not affect the decision as Worldwide Delivery remained the most suitable provider. However, the increase in ratings for Overnight Shipping (c) resulted in it becoming the most suitable outsourcing provider according to the given criteria.

1) Factor rating
2) Outsourcing provider
3) Logistics services
4) Weights
5) Ratings

a) Factor rating is a method used to evaluate and select an outsourcing provider based on predetermined criteria. In this case, Fernando Garza's firm wants to select a logistics services provider using factor rating. The table provided includes the weights assigned to different criteria (quality, delivery, and cost) and the ratings of three potential providers (Overnight Shipping, Worldwide Delivery, and United Freight).

To make his decision, Garza needs to multiply the weight of each criterion by the rating of each logistics provider and sum up the results. The highest sum indicates the most suitable outsourcing provider. Let's calculate the results:

Overnight Shipping:
Quality: 5 (weight) x 90 (rating) = 450
Delivery: 3 (weight) x 70 (rating) = 210
Cost: 2 (weight) x 70 (rating) = 140
Total: 450 + 210 + 140 = 800

Worldwide Delivery:
Quality: 5 (weight) x 80 (rating) = 400
Delivery: 3 (weight) x 85 (rating) = 255
Cost: 2 (weight) x 80 (rating) = 160
Total: 400 + 255 + 160 = 815

United Freight:
Quality: 5 (weight) x 75 (rating) = 375
Delivery: 3 (weight) x 70 (rating) = 210
Cost: 2 (weight) x 95 (rating) = 190
Total: 375 + 210 + 190 = 775

Based on these calculations, Worldwide Delivery has the highest total score of 815, making it the most suitable outsourcing provider according to the given criteria.

b) Garza decides to increase the weights for quality, delivery, and cost to 10, 6, and 4, respectively. This change means that Garza now considers quality to be twice as important as before, delivery to be 1.5 times as important, and cost to be twice as important.

Let's recalculate the results with the updated weights:

Overnight Shipping:
Quality: 10 (weight) x 90 (rating) = 900
Delivery: 6 (weight) x 70 (rating) = 420
Cost: 4 (weight) x 70 (rating) = 280
Total: 900 + 420 + 280 = 1600

Worldwide Delivery:
Quality: 10 (weight) x 80 (rating) = 800
Delivery: 6 (weight) x 85 (rating) = 510
Cost: 4 (weight) x 80 (rating) = 320
Total: 800 + 510 + 320 = 1630

United Freight:
Quality: 10 (weight) x 75 (rating) = 750
Delivery: 6 (weight) x 70 (rating) = 420
Cost: 4 (weight) x 95 (rating) = 380
Total: 750 + 420 + 380 = 1550

With the updated weights, the new results show that Worldwide Delivery still has the highest total score of 1630, making it the most suitable outsourcing provider.

c) If Overnight Shipping's ratings for each of the factors increase by 10%, we need to recalculate the results while considering these changes.

Overnight Shipping:
Quality: 10 (weight) x (90 + 10% of 90) = 990
Delivery: 6 (weight) x (70 + 10% of 70) = 462
Cost: 4 (weight) x (70 + 10% of 70) = 308
Total: 990 + 462 + 308 = 1760

With the increased ratings, Overnight Shipping now has the highest total score of 1760, making it the most suitable outsourcing provider.

In summary, the changes in weights (b) did not affect the decision as Worldwide Delivery remained the most suitable provider. However, the increase in ratings for Overnight Shipping (c) resulted in it becoming the most suitable outsourcing provider according to the given criteria.

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Answer:

The answer is D.

Step-by-step explanation:

First, you have to find the area of circle using the formula :

A = π × r²

A = π × 3²

A = 9π

Given that PHU is an equilateral triangle so all sides have a degree of 60°. Next, you have to find the area of minor sector of P and U by using the formula :

A = (θ/360) × π × r²

A = (60/360) × π × 3²

A = 1.5π

Lastly, you have to subtract the area of sector from the area of circle in order to find the area of shaded region :

A = (9π × 2) - (1.5π × 2)

A = 18π - 3π

A = 15π

The work of  5/6 more than 360 is equal to 660.

To calculate what 5/6 is out of 360, you can use the following steps:

Divide 360 by 6 (the denominator of the fraction) to determine the value of 1/6.

360 / 6 = 60 Multiply the value of 1/6 by the numerator (5) to find the value of 5/6.

60 * 5 = 300

Step 1: Calculate 5/6 of 360.

To find 5/6 of a number, you multiply that number by the fraction 5/6. In this case, we want to find 5/6 of 360. To do that, we multiply 360 by 5/6:

(5/6) * 360 = (5 * 360) / 6 = 1800 / 6 = 300

So, 5/6 of 360 is equal to 300.

Step 2: Add the result to 360.

To find 5/6 more than 360, we take the result from Step 1, which is 300, and add it to 360:

300 + 360 = 660

Therefore, 5/6 more than 360 is equal to 660.

In summary, by calculating 5/6 of 360, we found that it is 300. Adding 300 to 360 gives us the final result of 660, which represents 5/6 more than 360.

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The maximum angle when a player is 25 feet far is 14.50° while when 5 feet closer it will be 16.70° and as a player gets closer angle increases.

The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.

The trigonometric function is only valid for the right angle triangle and it is 6 functions which are given as sin cos tan cosec sec cot.

a)

The given condition makes a right-angle triangle as shown below,

The tan function,

tanθ = 6/25

θ = 14.50°

b)

When a player is 5 feet closer means (20 feet far)

tanθ = 6/20

θ = 16.70°

c)

As the player gets closer the angle becomes more and more.

Hence "The maximum angle when a player is 25 feet far is 14.50° while when 5 feet closer it will be 16.70° and as a player gets closer angle increases".

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Answer:

The answer is "More accurately is the left hand".

Step-by-step explanation:

In the given-question when we look at the given equation and see its given graph. This graph offers a much more reliable right hand because it has a smaller distance than that of the left. That being said, the left hand never surpassed the target, again and again, that's why the above given choice is correct.

The empirical probability of drawing the cards will be 6 / 55.

The ratio of the number of outcomes in which a defined event occurs to the total number of trials, not in a theoretical sample space but in a real experiment, is the empirical probability, relative frequency, or experimental probability of an event.

Given that a card is drawn one at a time from a well-shuffled deck of 52 cards. In 13 repetitions of this experiment, 1 king is drawn.

The number of kings in a well-shuffled deck consists of 52 cards which is 4.

The number of ways of drawing consists of 4 kings in 13 repetitions which is ¹³C₄.

In 13 repetitions, 2 kings are drawn by ¹³C₂ ways,

The empirical probability will be calculated as,

P(E) = ¹³C₂ / ¹³C₄

P(E) = [ (13!) / (13-2)! ] ÷ [ (13!) / ( 13-4)!(4!) ]

P(E) = ( 4 x 3 ) / ( 11 x 10)

P(E) = 6 / 55

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Answer:

Step-by-step explanation:

There's no such thing as answer for this, as this is an algebraic expression.

Answer:

-8x² - 9x + 9

Step-by-step explanation:

(2x² - 5x + 1) - (10x² + 4x - 8)

2x² - 5x + 1 - 10x² - 4x + 8

2x² - 10x² - 5x - 4x + 1 + 8

-8x² - 9x + 9

The formula for the linear function which is passing the points (0, 5) and (1, 20) is f(x) = 15x + 5.

According to the given question.

The linear form of the function is

f(x) = mx + b

Also, the function is passing through the points (0, 5) and (1, 20).

So, the given points (0, 5) and (1, 20) must satisfy f(x) = mx + b.

Now,

At (0, 5)

f(0) = m(0) + b

⇒ 5 = 0 + b

⇒ b = 5 ..(i)

Also,

at (1, 20)

f(1) = m(1) + b

⇒ 20 = m + 5     (from i)

⇒ m = 20 - 5

⇒ m = 15

Therefore, the formula for the linear function which is passing the points (0, 5) and (1, 20) is given by

f(x) = 15(x) + 5   (on substituting the vale of m and b in f(x) = mx + b).

⇒ f(x) = 15x + 5

Hemce, the formula of the function is f(x) = 15x + 5.

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Answer:

82 miles

Step-by-step explanation:

When they stop, Harry is 18 miles north and Selma is 80 miles east

Their positions form the vertices of a right triangle with legs 18 and 80

Their distance from each other will be the hypotenuse of this triangle given by the Pythagorean theorem

\(c = \sqrt{a^{2} + b^{2}}\)

where c is the hypotenuse and a, b the shorter legs

Given a = 18, b = 80

\(c = \sqrt{18^{2} + 80^{2}}\\\\c = \sqrt{324 + 6400}\\\\c = \sqrt{6724}\\\\\\c=82\\\\\)