If wxy~ VTU find the measure of angle T

Answer:

The answer is 9

Step-by-step explanation:

When x = 2,

f(2) = 3×2^2-3

f(2) = 3×4-3

f(2) = 12-3

f(2)= 9

Answer:

y = -2/5x + 12/5

Step-by-step explanation:

(1,2) and (6,0)

Slope:

m=(y2-y1)/(x2-x1)

m=(0-2)/(6-1)

m=(-2)/5

m = -2/5

Slope-intercept:

y - y1 = m(x - x1)

y - 2 = -2/5(x - 1)

y - 2 = -2/5x + 2/5

y = -2/5x + 12/5

Answer: $31045.5

Step-by-step explanation:

First, you have to start by writing your equation. Start with letting p = the amount of product sold and d = dollars, or the amount of profit the CEO makes.

So, your equation should look like this:

d = the percentage the CEO earns (the profit of the company)

Profit is equal to the amount of gains minus the amount of losses. The amount of gains would be $855 times the number of products sold, and the losses per month are $6780 flat as shown in the problem. Finally, the percentage is 15%, as you're also told in the problem.

So now your equation looks like this:

d = 15% (855p - 6780)

OR

d = .15 (855p - 6780)

Now, you can substitute your 250 products sold in for p, and solve as shown below.

d = .15 (855(250) - 6780)

d = .15 (213750 - 6780)

d = .15 (206970)

d =  31045.5

Answer:

$31045.5

Step-by-step explanation:

We need to find the profit after selling the products first so

$855 × 250 = $213750

Then we need to subtract the expenses from the profit

$213750 - $6780 = $206970

Since the CEO get paid 15% of the total profit, we just need to take 15% of the above number

$206970 × 0.15 = $31045.5

Answer:

142

Step-by-step explanation:

\(76.216=76\\66.36=66\)

\(76+66=142\)

Answer:

9940

Step-by-step explanation:

its easy please give brainlist

Answer:

~10525.41 after 7 years

Step-by-step explanation:

y=a(1+r)^x

That's the equation for exponential growth

a= the starting amount

r= the rate at which it is growing

x=years

with that information

a=7000

r=6% or 0.06

so y=7000(1+0.06)^x -> y=7000(1.06)^x

x=7

y=7000(1.06)^7

y~10525.41

Number of cylindrical cans of paint does he need to paint 75 ​ornaments is 20.

The total area that the cylinder's curved surface and round bases enclose is referred to as its surface area. The cylinder's total surface area consists of the curving surface as well as the areas of the two bases, each of which is shaped like a circle. A cylinder is a 3D solid object made up of two circular bases connected by a curving face.

Surface Area of Cylinder = 2πrh+2πr²

where , r is radius of cylinder=4.6cm

H is height of cylinder=2*6.5cm=13cm

A=2×π×4.6×13+2×π×4.6²≈508.68668cm²

Total Number of cans of paint needed to paint 75 ​ornaments=75×508.68668

/1900=20.

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Answer:

D

Step-by-step explanation:

Only way you apply Pythagoras is if the triangle is a right triangle. it won't work anyway else

Answer:

9 < √91 < 10

Step-by-step explanation:

just square everything

Answer:

6 pens and 4 pencils

Step-by-step explanation:

6 x 4 = 24

4 x 2 = 8

24 + 8 = 32

its equal to because if you do +50-50 and keep going it will always go back to 0. Hope this helps! :D

Answer:

C or Equal To

Step-by-step explanation:

The input was 0 at first

50 - 50 is 0

Hope this Helps

▼・ᴥ・▼

The number of movies on the shelf is given as follows:

36 movies.

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

For this problem, the parameters are given as follows:

Hence the total number of outcomes, representing the number of movies on the shelf, is obtained as follows:

1/4 = 9/x

x = 9 x 4

x = 36 movies.

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The number of electoral votes does the state of nevada have in the electoral college is 6 electoral votes.

Nevada will be having a total of 6 electoral votes in the electoral college. The number of electoral votes for each state is equal to the total number of its members in Congress, which will be including its representatives in the House of Representatives and its two senators.

Therefore, since Nevada has 4 members in the House of Representatives and 2 senators, the state has a total of 6 members in Congress, and hence it can be concluded that a total of 6 electoral votes will be there in the Electoral College.

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Answer:

The total volume of water in the pool  =-2 (x-11)(x+5) ft^3

Step-by-step explanation:

a) (2x^2 + 12x + 10) - (4x^2-100)

= 2x^2+12x+10-4x^2+100

= -2x^2+12x+110

b)

Lets simplify first by taking the GCF out:

= -2 (x^2-6x-55)

Now Just simplify by finding the product of a and c

I used -11 and 5 because when you multiply -11x5 you get -55, and when you do -11+5 you get -6.

= -2 (x-11)(x+5) ft^3

Answer:

Given expressions

Deep end:   \(2x^2+12x+10\)

Shallow end:  \(4x^2-100\)

a) Difference between the deep end and shallow end

⇒ difference = deep end - shallow end

                     \(=(2x^2+12x+10)-(4x^2-100)\)

b) simplifying:

                     \(=2x^2+12x+10-4x^2+100\)

                     \(=(-2x^2+12x+110) \textsf{ ft}^3\)

Answer:

Nominal decisions can be broken into two distinct categories: dichotomous decisions and polychotomous decisions.

The total cost for 10 hours of work would be 25 + 50(10) = 525.

Cost is the monitorial associated with the purchase of production of food or service if can include the prices of material of which is over it and other expenses that are related to the production of the code of service cost is a major fraction of when deciding whether to purchase a product something as it is and indicator of the value of the product of sound service.
The marginal cost of producing 5 items can be calculated using the equation C(x)=1300+4x/10. The marginal cost is the cost associated with producing one additional item. To calculate the marginal cost, we can plug in x=5 into the equation.

The equation in slope-intercept form for cost, c, after h hours of service is c = 25 + 50h.

The total cost for 8 hours of work would be 25 + 50(8) = 425.

The total cost for 10 hours of work would be 25 + 50(10) = 525.

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The total cost of plastering and coloring the walls and ceiling of the square hall at the given rates is Rs 38,625.

To find the total cost of plastering and coloring the walls and ceiling of the square hall, we need to calculate the surface area of the walls and ceiling.

Given:

Length of the hall (L) = 15 m

Height of the hall (H) = 5 m

Size of each square window (Ww) = 2 m

Size of each door (Wd x Hd) = 1.5 m x 4 m

Let's calculate the surface area of the walls and ceiling separately:

1. Walls:

The hall has four walls, excluding the ceiling and floor.

The surface area of each wall can be calculated as:

\(\[A_w = L \times H\]\)

Since there are four walls, the total surface area of the walls is:

\(\[A_{\text{total walls}} = 4 \times A_w\]\)

2. Ceiling:

The surface area of the ceiling can be calculated as:

\(\[A_{\text{ceiling}} = L \times W\]\)

where W is the width of the hall. In this case, since it is a square hall, the width is equal to the length:

\(\[W = L\]\)

Therefore, the total surface area of the ceiling is:

\(\[A_{\text{total ceiling}} = A_{\text{ceiling}}\]\)

Now, let's calculate the surface area of the walls and ceiling:

\(\[A_{\text{total walls}} = 4 \times (L \times H)\]\[A_{\text{total ceiling}} = L \times L\]\)

To find the total cost of plastering and coloring, we need to multiply the respective surface areas by their corresponding rates:

Total cost of plastering the walls = \(\(A_{\text{total walls}} \times \text{Rate per square meter for plastering}\)\)

Total cost of coloring the walls = \(\(A_{\text{total walls}} \times \text{Rate per square meter for coloring}\)\)

Total cost of coloring the ceiling = \(\(A_{\text{total ceiling}} \times \text{Rate per square meter for coloring}\)\)

Finally, to find the overall total cost, we can add the costs of plastering the walls and coloring both the walls and ceiling:

Overall total cost = Total cost of plastering the walls + Total cost of coloring the walls + Total cost of coloring the ceiling

Now, let's calculate the values:

Given:

Length of the hall (L) = 15 m

Height of the hall (H) = 5 m

Size of each square window (Ww) = 2 m

Size of each door (Wd x Hd) = 1.5 m x 4 m

Rate per square meter for plastering = Rs 50

Rate per square meter for coloring = Rs 45

1. Calculate the surface area of the walls:

\(\[A_w = L \times H\]\[A_w = 15 \times 5\]\[A_w = 75 \, \text{sq. m}\]\)

2. Calculate the surface area of the ceiling:

\(\[A_{\text{ceiling}} = L \times L\]\[A_{\text{ceiling}} = 15 \times 15\]\[A_{\text{ceiling}} = 225 \, \text{sq. m}\]\)

3. Calculate the total surface area of the walls:

\(\[A_{\text{total walls}} = 4 \times A_w\]\[A_{\text{total walls}} = 4 \times 75\]\[A_{\text{total walls}} = 300 \, \text{sq. m}\]\)

4. Calculate the total cost of plastering the walls:

Total cost of plastering the walls = \(\(A_{\text{total walls}} \times \text{Rate per square meter for plastering}\)\)

Total cost of plastering the walls =\(\(300 \times 50\)\)

Total cost of plastering the walls = Rs 15,000

5. Calculate the total cost of coloring the walls:

Total cost of coloring the walls = \(\(A_{\text{total walls}} \times \text{Rate per square meter for coloring}\)\)

Total cost of coloring the walls = Rs 13,500

6. Calculate the total cost of coloring the ceiling:

Total cost of coloring the ceiling = \(\(A_{\text{total ceiling}} \times \text{Rate per square meter for coloring}\)\)

Total cost of coloring the ceiling = \(\(225 \times 45\)\)

Total cost of coloring the ceiling = Rs 10,125

7. Calculate the overall total cost:

Overall total cost = Total cost of plastering the walls + Total cost of coloring the walls + Total cost of coloring the ceiling

Overall total cost = Rs 15,000 + Rs 13,500 + Rs 10,125

Overall total cost = Rs 38,625

Therefore, the total cost of plastering and coloring the walls and ceiling of the square hall at the given rates is Rs 38,625.

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The equation holds true, confirming that (-5, 2) is indeed the solution to the given equation.

To complete the missing value in the solution to the equation x - 5y = -15, we substitute the given x-value (-5) into the equation and solve for y.

Substituting x = -5 into the equation, we have:

-5 - 5y = -15

Next, we simplify the equation by combining like terms:

-5y = -15 + 5

-5y = -10

To isolate y, we divide both sides of the equation by -5:

y = (-10) / (-5)

Simplifying further, we have:

y = 2

Therefore, the missing value in the solution to the equation is y = 2.

In the ordered pair form, the solution is represented as (-5, 2), where -5 corresponds to the x-value and 2 corresponds to the y-value.

This means that when x is equal to -5, and y is equal to 2, the equation x - 5y = -15 is satisfied. Plugging in these values into the equation:

-5 - 5(2) = -15

-5 - 10 = -15

-15 = -15

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To find the probability P(0.1 < (Y1)^2 + (Y2)^2 < 6), where Y1 = 3 - (1/2)(X1 + X2) and Y2 = X1 - X2, the expression is simplified and involves the bivariate normal distribution, requiring numerical methods or specialized software to evaluate the integral within the specified range.

To find P(0.1 < (Y1)^2 + (Y2)^2 < 6), we need to determine the probability that the sum of squares of Y1 and Y2 falls within the specified range.

Given that Y1 = 3 - (1/2)(X1 + X2) and Y2 = X1 - X2, we can rewrite the expression (Y1)^2 + (Y2)^2 as follows:

(Y1)^2 + (Y2)^2 = (3 - (1/2)(X1 + X2))^2 + (X1 - X2)^2

Expanding this expression, we get:

(Y1)^2 + (Y2)^2 = 9 - 3(X1 + X2) + 1/4(X1 + X2)^2 + X1^2 + X2^2 - 2X1X2

Simplifying further:

(Y1)^2 + (Y2)^2 = 9 - (3/2)(X1 + X2) + 1/4(X1^2 + 2X1X2 + X2^2) + X1^2 + X2^2 - 2X1X2

Combining like terms:

(Y1)^2 + (Y2)^2 = 9 - (3/2)(X1 + X2) + (5/4)(X1^2 + X2^2) + (1/4)(2X1X2)

Next, we substitute the correlation between X1 and X2, which is given as 1/2:

(Y1)^2 + (Y2)^2 = 9 - (3/2)(X1 + X2) + (5/4)(X1^2 + X2^2) + (1/4)(2X1X2)

= 9 - (3/2)(X1 + X2) + (5/4)(X1^2 + X2^2) + (1/4)(2 * (1/2) * X1X2)

= 9 - (3/2)(X1 + X2) + (5/4)(X1^2 + X2^2) + (1/4)(X1X2)

Now, we can rewrite the inequality 0.1 < (Y1)^2 + (Y2)^2 < 6 in terms of the expression we obtained:

0.1 < 9 - (3/2)(X1 + X2) + (5/4)(X1^2 + X2^2) + (1/4)(X1X2) < 6

To simplify the expression further, we can rearrange the inequality:

-8.9 < -(3/2)(X1 + X2) + (5/4)(X1^2 + X2^2) + (1/4)(X1X2) < -3.1

Now, we need to calculate the probability P(-8.9 < -(3/2)(X1 + X2) + (5/4)(X1^2 + X2^2) + (1/4)(X1X2) < -3.1) under the given bivariate normal distribution with mean values of 0, variances of 1, and correlation of 1/2.

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Answer:

4

Step-by-step explanation:

Answer:

3 acute angles.

Step-by-step explanation:

Triangles have three angles. If any one angle is obtuse or right-angle, then the remaining two angles must be acute. Or else, all the 3 angles can be acute.

An example can be an equilateral triangle because it has 3 acute angles. Each angle is 60 degrees.

The required area of the polygons is given as 100 ft², 9 ft², 16 ft², and 64 ft².

Given that,
The dimensions of this polygon are shown in feet (ft). 10ft/3ft/4 ft/8 ft. The area, in square feet, of the polygon is to be determined.

A polygon is defined as a geometric shape that is composed of 3 or more sides these sides are equal in length, and an equal measure of angle at the vertex,

Examples of polygons, equilateral triangles, squares, pentagons etc

Here,
Assumed that all the polygons are square,
The area of the square is given as (side)².
1,
Side = 10 ft
Area of the square = [10 ft]² = 100 ft²

Similarly,
For side 3 areas is 9 ft²,

For side 4 areas is 16 ft²,

For side 8 areas is 64 ft²,

Thus, the required area of the polygons is given as 100 ft², 9 ft², 16 ft², and 64 ft².

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If Oliver chooses four of his toy cars and measures their wheel length , and  If he divide circumference by diameter for each of his wheel length, then he would find that (c) each time Oliver will get 3.14  .

let radius of circular wheel be = r ;

the diameter of the circular wheel will be = 2r ;

So , the circumference of the wheel is = 2πr ;

on dividing circumference by the diameter for each of his wheel length ,

we get ;

= \(\frac{2\pi r}{d}\)  ;

Substituting the value of diameter, d = 2r ;

we get ;

= \(\frac{2\pi r}{2r}\) ;

After simplification ,

we have ;

= π .

We know that,  value of \(\pi\) is  \(3.14\)  .

Therefore , On dividing each time we will get 3.14  .

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Answer:

704 cubic units

Step-by-step explanation:

First let's calculate the volume of the cube. The formula to calculate the volume of a cube is V = a^3, a being the edge length of the cube. So we need to cube the value of a, which is 8. 8 cubed is 512 cubic units.

Now we need to calculate the volume of the triangular prism. The formula to calculate the volume of a cube is V = 1/2b * a * h, a being the side edge length of the prism, b being the height of the triangular side, and h being the base edge length of the triangular side, if that makes any sense (easier to explain visually). h and a are equal to the given a, which is 8 in this case. And b in the formula is equal to b in the given problem. So we substitute the values into the formula: V = (1/2*6) * 8 * 8 = 3 * 64 = 192 cubic units.

Now we take the sum of both of the figures:

512 + 192 = 704 cubic units.

Answer:

False

Step-by-step explanation:

4/8 equals to 1/2 but 6/10 equals to 3/5. Correct would be if it was 5/10

\(35m>-30\\\\\implies \dfrac{35m}{35}>-\dfrac{30}{35}\\\\\implies m>-\dfrac{6}{7}\)

The probability of getting exactly one face card is 0.72.

According to the questions two cards are drawn from a deck.

Since, we know that

Total number of cards in a deck = 52

Total number of face cards =  3 × 4 = 12

So, the number of ways of selecting 2 cards from a deck = \(^{52} C_{2}\)

And, the total number of ways of  getting exactly one face cards

= \(^{12} C_{1} \times ^{40} C_{1}\)  + \(^{40} C_{1} \times ^{12} C_{1}\)

= 2\(^{40} C_{1} \times ^{12} C_{1}\)

Therefore, the probability of getting exactly one face card

= \(\frac{2(^{40} C_{1} \times ^{12} C_{1})}{^{52C_{2} } }\)

\(= \frac{2(\frac{40 \times 39!}{1!\times 39!} \frac{12\times 11!}{11!}) }{\frac{52\times 51\times 50!}{2!\times50!} }\)

\(= \frac{2(40\times 12)}{26\times 51}\)

\(=\frac{2\times 480}{1326}\)

= 0.72

Hence, the probability of getting exactly one face card is 0.72.

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Answer:

It has a slope of 0

Step-by-step explanation:

Answer:

a slope of zero

Step-by-step explanation:

a vertical line has an undefined slope, a horizontal line has a slope of zero

The function f is increasing on the interval (6, ∞).

The function f will be increasing in the intervals where f'(x) > 0.

To find these intervals, we can examine the sign of each factor of f'(x), which is (x + 1)²(x - 3)⁵(x - 6)⁴.

We can analyze the sign of f(x) by considering the factors individually:

(x+1)²: This factor is always positive since it is the square of a real number.

(x - 3)⁵: This factor is positive when x>3 and negative when x< 3.

(x - 6)⁴: This factor is positive when x>6 and  negative when x< 6.

We need to consider the overlapping regions of positivity for each factor.

When x>6, all three factors are positive, so  f ′ (x) is positive.

When 3<x<6: In this interval, the factor  (x+1)² is positive, but both (x−3)⁵ and (x−6)⁴ are negative.

Thus, f ′ (x) is negative.

When x<−1: In this interval,  (x+1)² is negative, while (x−3)⁵ and (x−6)⁴ are positive.

Hence, f ′ (x) is negative.

Therefore,  the function f(x) is increasing on the interval x>6.

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1. The outcomes in the sample space of choosing a letter from the word STARK are: S, T, A, R, K.

2. Number of outcomes in the sample space = 6 (from THANKS) × 5 (from STARK) = 30.

3. The Probability of choosing the letters AA is 0, as there are no occurrences of the letter A in both words together.

1. The outcomes in the sample space of choosing a letter from the word THANKS are: T, H, A, N, K, S.

  The outcomes in the sample space of choosing a letter from the word STARK are: S, T, A, R, K.

2. To find the number of outcomes in the sample space, we multiply the number of outcomes for each word.

  Number of outcomes in the sample space = Number of outcomes for the first word × Number of outcomes for the second word

  Number of outcomes in the sample space = 6 (from THANKS) × 5 (from STARK) = 30.

3. The probability of choosing the letters AA would be the number of favorable outcomes (which is 0 in this case) divided by the total number of outcomes in the sample space.

  Probability of choosing AA = Number of favorable outcomes / Total number of outcomes

  Probability of choosing AA = 0 / 30 = 0.

Therefore, the probability of choosing the letters AA is 0, as there are no occurrences of the letter A in both words together.

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