|3t+6| =9

A. n= -5
B. n= 1
C. n= -1 or 1
D. n= -5 or 1

Answer:

Yes they are similar by SAS or side-angle-side Similarity Theorem

Step-by-step explanation:

Given

In Triangle UWV

WU=6

VU=4

In Triangle UST

US=9

UT=6

Solution

AngleWUV = AngleSUT as they are Vertically Opposite Angles

And

US/UW = UT/UV

or

9/6 = 6/4

which can be simplified into

3/2 = 3/2

Since the ratio of two sides and an angle is equal, TriangleUWV is similar to TriangleUST by Side-Angle-Side Similarity Theorem

Answer:

10 cm

Step-by-step explanation:

Area= S×S= area

so, ?= 100cm².

10cm×10cm

=100cm².

therefore, the length of square is 10 cm.

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if the answer help. mark me brainlist.

Answer:

-3,8

Step-by-step explanation:

Answer:

by solving it's angle it's easy

Answer:

Distance covered in 2 hours is 60 miles. So, David will cover 880 yards of distance in 1 minute.

Answer:

distance = 5 units

Step-by-step explanation:

we can calculate the distance d using the distance formula

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = (0, 0 ) and (x₂, y₂ ) = (3, 4 )

d = \(\sqrt{(3-0)^2+(4-0)^2}\)

  = \(\sqrt{3^2+4^2}\)

  = \(\sqrt{9+16}\)

   = \(\sqrt{25}\)

   = 5

Formula to find the distance between two points is given by -

\( \small \underline{ \boxed{ \sf{ \pmb{ Distance = \sqrt{ (y_2 -y_1)^2 + (x_2-x_1)^2}}}}}\\\)

As per question, points are -

On substituting the values :-

\(\: \: \: \: \: \longrightarrow \sf {Distance(XQ) = \sqrt{ (0-4)^2 + (0-3)^2 }}\\\)

\(\: \: \: \: \:\longrightarrow \sf {Distance (XQ)= \sqrt{ (-4)^2 + (-3)^2 }}\\\)

\(\: \: \: \: \:\longrightarrow \sf {Distance(XQ) = \sqrt{ 16+9}}\\\)

\(\: \: \: \: \:\longrightarrow \sf {Distance (XQ)= \sqrt{ 25} }\\\)

\(\: \: \: \: \:\longrightarrow \sf {Distance(XQ) = 5}\\\)

\( \: \: \: \: \:\longrightarrow \boxed{ \tt{ \pmb{ \red{Distance(XQ) = 5 }}}}\\\)

\( \\ \therefore \underline{ \cal{ \pmb{The \:distance \: of \: the\: two \:points \: is \: \frak{\purple{ 5.} }}}}\\\)

Answer:

Step-by-step explanation:

Depending on the tools available to your 11y.o., it's a typical question for linear inequalities.

Where a,b,c are the # of 1,15,50 coins given by the buyer, and d,e,f the # of coins given back by the seller.

1×a + 15×b + 50×c > 1×d + 15×e + 50×f

a+b+c+1>=d+e+f

a+b+c >=2

Now, there are other clues in the text :

If the seller gives back money, then you didn't pay with 1's, otherwise, it means you overpay and you could have given fewer coins. So a=0.

Similarly, the seller cannot give you back a coin of 50, otherwise, you could have given fewer coins as the buyer. So f=0.

So that gives :

15×b + 50×c > 1×d + 15×e

b+c+1>=d+e

b+c >=2

From that point on, there is only a handful of scenarios to test.

Answer:

B)

Step-by-step explanation:

The answer is B) you have to devide the terms

Answer:

\(x=-1,\:y=-1\)

Step-by-step explanation:

\(\begin{bmatrix}-6x+5y=1\\ 6x+4y=-10\end{bmatrix}\)

\(\mathrm{Add\:the\:equations}\)

\(6x+4y=-10\)

\(+\)

\(\underline{-6x+5y=1}\)

\(9y=-9\)

\(\begin{bmatrix}-6x+5y=1\\ 9y=-9\end{bmatrix}\)

Solve 9y=-9 for y: y=-1

\(\mathrm{For\:}-6x+5y=1\mathrm{\:plug\:in\:}y=-1\)

Solve -6x+5(-1)=1 for x: x=-1

\(\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}\)

\(x=-1,\:y=-1\)

Volume= 4188.7902 m^3

The measure of the angles are: K, L, C, N, O G = -3/4, 65, 8 40.4, 89 and 44 respectively

To determine K

9x + 2 = 23 + 5x -1

9x -5x = -1 +2

4x = -3Making x the subject we have

x= -3/4

To find the value of L

Let angle L be x

x + 65 = 130

x=130-65

That is x = 65

To find the m<C

4x + 7 = 3x + 15

Collecting like terms

4x - 3x = 15-7

Making x the subject of the relation we have

x=8

To find the m<N

7x + 6x - 1 = 90

13x = 89

x=89/13

x= 6.9

Substitute x = 6.9 in 6x -1

6(6.9) -1

m<L = 40.4

To find the m<O

5x - 11 = 4x +9

5x-4x = 9 +11

x=20

By substitution in 4x +9 we have

4(20) +9

80+9

m<S = 89

To find the value of the angle G

6x - 4 = 5x +4

6x - 5x = 4+4

x = 8

Therefore the m<G is

5x +4

5(8) +4

40+4 = 44 digress

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Answer:

35 square units

Step-by-step explanation:

Area of the parallelogram = 7*5 = 35 square units

Answer:

B. 5.5 million tonnes { see the chart } measure the oil produced by USA in year 3.

Generally, the amount measured represents by numbers on the y-axis. Take the difference between the highest and lowest amounts to calculate the amount for the US.

22.5 - 17 = 5.5

Area of the shaded region is -0.5, volume of the solid is -2π/3 and k = 15 / 3

(a) To find the area of the shaded region enclosed by the graphs of f and g, you can use the formula for the area of a region bounded by two functions:

Area = ∫[lower bound]^[upper bound] |f(x) - g(x)| dx

In this case, the lower bound is 0 and the upper bound is 1, so the area of the shaded region is:

Area = ∫0^1 |2x(1 - x) - 3(x−1)x√| dx

You can simplify this expression to:

Area = ∫0^1 |2x - 3x^(3/2)| dx

You can then evaluate the integral to find the area of the shaded region:

Area = [x - (3/2)x^(5/2)]0^1

= 1 - (3/2) * 1^(5/2)

= 1 - (3/2) * 1

= 1 - 1.5

= -0.5

So the area of the shaded region is -0.5.

(b) To find the volume of the solid generated when the shaded region is revolved about the horizontal line y = 2, you can use the formula for the volume of a solid of revolution:

Volume = ∫[lower bound]^[upper bound] π[radius]^2 dx

In this case, the radius of the solid is the distance from the y-axis to the graph of the function, which is 2 - f(x). The lower bound is 0 and the upper bound is 1, so the volume of the solid is:

Volume = ∫0^1 π[2 - f(x)]^2 dx

= π ∫0^1 [4 - 4x + x^2] dx

= π [x - 2x^2 + (1/3)x^3]0^1

= π [(1/3) - 2 + 1]

= π [(1/3) - 1]

= π (-2/3)

= -2π/3

So the volume of the solid is -2π/3.

(c) To find the value of k for which the volume of the solid with square cross sections is equal to 15, you can write an equation involving an integral expression that can be used to find k.

The volume of the solid with square cross sections is given by the formula:

Volume = ∫[lower bound]^[upper bound] h(x) * g(x) dx

In this case, the function h is given by h(x) = kx(1 - x), and the function g is given by g(x) = 3(x−1)x√. The lower bound is 0 and the upper bound is 1, so the volume of the solid is:

Volume = ∫0^1 kx(1 - x) * 3(x−1)x√ dx

= 3 ∫0^1 kx(1 - x)(x−1)x√ dx

To find the value of k that makes the volume of the solid equal to 15, you can set the volume equal to 15 and solve for k:

15 = 3 ∫0^1 kx(1 - x)(x−1)x√ dx

k = 15 / 3

Thus, Area of the shaded region is -0.5, volume of the solid is -2π/3 and k = 15 / 3.

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The butterfly spread is constructed using the following three calls: - Buy 1 call with an exercise price of 120 at a price of $15.40.- Sell 2 calls with an exercise price of 125 at a price of $13.50 each.- Buy 1 call with an exercise price of 130 at a price of $11.35.


A butterfly spread involves buying one option with a lower exercise price, selling two options with a middle exercise price, and buying one option with a higher exercise price. In this case, we buy the call with an exercise price of 120, sell two calls with an exercise price of 125, and buy the call with an exercise price of 130.

To analyze the strategy, we need to consider the stock price at expiration. The breakeven stock prices are calculated by adding and subtracting the net debit or credit from the middle exercise price. In this case, the net debit is $1.60 ($15.40 – 2*$13.50 + $11.35), so the breakeven prices are $121.40 ($125 - $1.60) and $128.60 ($125 + $1.60).

The maximum profit of $1.60 occurs when the stock price is exactly at the middle exercise price of 125 at expiration. In this case, the two sold calls expire worthless, and the two bought calls have intrinsic value of $5 each. The minimum profit of -$1.40 occurs when the stock price is below $121.40 or above $128.60 at expiration. In this situation, all the options expire worthless, resulting in a loss of the net debit.

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Answer: 32

Step-by-step explanation:

When given a question where there is a distinct set of items to choose from, the total number of configurations is equal to 2 to the power of number of different choices. Since there are five different choices, the number of different sundaes is equal to 2^5 or 32 sundaes.

Answer:

Step-by-step explanation:

Half a turn is 180

so 180-33 is your

a² when a=1.1

1.1² = 1.21

b² when b= 3/4

3/4² = 0.1875

Good luck!!!

Answer:

0.06 yards = 2.16 inches

Step-by-step explanation:

1 yard = 36 inches

0.06 yards = 0.06*36 = 2.16 inches

Answer:

2.16 inches

Step-by-step explanation:

The series 1 + 12√2 + 13√3 + 14√4 + 15√5 + ... is convergent.

To determine whether the series 1 + 12√2 + 13√3 + 14√4 + 15√5 + ... is convergent or divergent, we can use the comparison test.

Note that for n ≥ 2, we have: n√n > n√(n-1)

This is because n√n - (n-1)√(n-1) = n(√n - √(n-1)) > 0. Therefore, we can write: n√n > (n-1)√n

Multiplying both sides by n and simplifying, we get:

n^2√n > (n-1)n√n

n^2√n > n^2√(n-1)

Taking the square root of both sides, we get: n√n > √(n-1)n

Using this inequality, we can compare the given series to the series:

1 + 12√2 + 13√3 + 14√4 + 15√5 + ...

1 + 12√2 + 13√3 + 14√4 + 15√5 + ...

1 + 12√2 + 13√3 + 14√4 + 15√5 + ...

1 + 2√2 + 3√3 + 4√4 + 5√5 + ...

Notice that the series on the right-hand side is a p-series with \(p = \frac{3}{2}\), which we know converges. Therefore, the series on the left-hand side, which is greater than the convergent series on the right-hand side, must also converge by the comparison test.

Hence, the series 1 + 12√2 + 13√3 + 14√4 + 15√5 + ... is convergent.

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Answer:

110.5

Step-by-step explanation:

208=13+(3-1)d

208=13+2d

-13. -13

195=2d

÷2. ÷2

97.5=d. (d means difference)

13(first term)+97.5=110.5(the answer

Answer:

36

Step-by-step explanation:

Answer:

I believe it's y=⅓x+2, you can input it into desmos to see if it's correct

Answer:

For question a the answer is option  b at 50$

For question b the answer is 50 miles and option a is less

Step-by-step explanation:

The total number of red marbles in the vase are 10.

A ratio is described as a comparison between two amounts with the same unit to determine the amount of 1 quantity is contained in the other. Ratios are divided into two sorts.

The first is a part-to-part ratio, and the second is a part-to-whole ratio. The part-to-part ratio expresses the relationship between 2 separate entities or groupings.

Now, according to the question;

Let 'x' be the red marbles in the vase.

Let 'y' be the orange marbles in the vase.

The total number of marbles in the vase are 60

x  + y = 60 (equation 1)

The ratio of red marbles to orange ones is 1:5.

Thus, x/y = 1/5

cross multiplying;

5x = y

or y = 5x

substitute the value of y in equation 1;

x  + y = 60 (equation 1)

x  + 5x = 60

6x = 60

x = 10  (red marbles)

Thus, the number of red marbles in the vase are 10.

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Answer:

52.6?

Step-by-step explanation:

Step-by-step explanation:

\( \\ 994.14 \div 18.9\)

\( \\ = \frac{99414}{100} \div \frac{189}{10} \)

\( \\ = \frac{49707}{50} \div \frac{189}{10} \)

\( \\ = \frac{49707}{50} \times \frac{10}{189} \)

\( \\ = \frac{263}{5} \)

\( \\ = 52.6\)

For sample of employee’s age and the number of sick days the employee takes per year, the 95% confidence interval for the average number of sick days an employee will take per year, the 47 employee is equals to the (0.81, 6.81).

The estimated regression line for model of number of sick days the employee takes per year days is Sick Days = 14.310162 − 0.2369(Age)

Prediction for avg no. of sick days for employee aged 47, \(\bar X = 14.310162 - 0.2369 × Age\)

= 14.310162 - 0.2369 × 47

= 3.175862 = 3

Sample size, n = 10

Sample error, SE = 1.682207

So, standard deviations, s =

\(SE× \sqrt{n} = 1.682207 × \sqrt{10}\) = 5.31960

Number of degree of freedom, df = 10 - 1 = 9

Level of significance, α = 0.05 and α/2 = 0.025

Based on the provided information, the critical value for α = 0.05 and df = 9 ( degree of freedom) is equals to the 2.262. Now, the 95% confidence interval is written as, \(CI = \bar X ± \frac{ t_c × s}{\sqrt{n}}\).

Substitutes all known values in above formula, \(CI = 3 ± \frac{ 2.262 × 5.31960}{\sqrt{10}}\)

= 3 ± 3.805152234

=> CI = (0.81, 6.81)

Hence, required confidence interval is (0.81, 6.81).

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Complete question:

The above figure complete the question.

The personnel director of a large hospital is interested in determining the relationship (if any) between an employee’s age and the number of sick days the employee takes per year. The director randomly selects ten employees and records their age and the number of sick days which they took in the previous year. The estimated regression line and the standard error are given.

Sick Days=14.310162−0.2369(Age)

se = 1.682207

Find the 95% confidence interval for the average number of sick days an employee will take per year, given the employee is 47. Round your answer to two decimal places

a) To maximize its net savings, the company should use the new machine for 7 years.  b) The net savings during the first year of use of the machine are $405 (rounded off to the nearest dollar).  c) The net savings over the period determined in part a are $1,833.33 (rounded off to the nearest cent).

Step-by-step explanation: a) To determine for how many years should the company use the new machine to maximize its net savings, we need to find the value of x that maximizes the difference between the savings and the costs.To do this, we need to first calculate the net savings, N(x), which is given by:S'(x) - C'(x) = 175 - x² - (x² + 11x) = -2x² - 11x + 175To find the maximum value of N(x), we need to find the critical values, which are the values of x that make N'(x) = 0:N'(x) = -4x - 11 = 0 ⇒ x = -11/4The critical value x = -11/4 is not a valid solution because x represents the number of years of operation of the machine, which cannot be negative. (i.e., not use it at all).However, this answer does not make sense because the company would not introduce a new machine that it does not intend to use. Therefore, we need to examine the concavity of N(x) to see if there is a local maximum in the feasible interval.

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The projectile is shot straight up from the Earth's surface at a speed of 1.00 × 10^4 km/hr. The main answer is that the projectile will eventually reach a maximum value and then fall back to the Earth due to the force of gravity.

When a projectile is shot straight up from the Earth's surface, it experiences an initial upward velocity. As it moves against the force of gravity, its velocity gradually decreases until it reaches a point where its vertical velocity becomes zero.

This point is known as the maximum height of the projectile. At this maximum height, the projectile momentarily stops and starts to fall back to the Earth under the influence of gravity.

During the ascent phase, the projectile's speed decreases due to the opposing force of gravity. However, its velocity is not constant as it is influenced by the acceleration due to gravity.

Once the projectile reaches its maximum height, its velocity becomes zero in the vertical direction. From there, it starts to descend, accelerating downwards under the force of gravity.

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                                          "Complete question"

A Projectile Is Shot Straight Up From The Earth's Surface At A Speed Of 1.00×104 Km/Hr . How High Does It Go?

Answer:

4/10 or 2/5

Step-by-step explanation:

9/10-1/2 = 9/10-5/10 = 4/10 = 2/5

Answer:

2/5

Step-by-step explanation:

9/10-1/2

9/10-1×5/2×5

9/10-5/10

9-5/10

4/10

2/5