Algebra, please help ASAP

The value of x for the given triangle is 4.5

A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.

The sum of all three angles of a triangle is always 180°

In the given triangle ABC,

∠A=(9x+16)°, ∠B=(6x+15)°

And the extrior angle ∠C=(19x+3)°

Use the external angle property,

The sum of two interior angles is equal to an exterior angle.

Therefor,

∠C=∠A+∠B

(19x+3)°=(9x+16)°+(6x+5)°

19x+3=15x+21

4x=18

x=4.5

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According to the information the length of x of the boat sail would be 10.5.

To calculate the length of x we must identify the data that we have available. In this case we have the length of the base of both boats sails and the length of the height of one of the boats. According to the above, if these candles have a scale we can apply a rule of thumb to find the length of x. Here is the procedure:

According to the above, the length of x of the boat sail would be 10.5

Note: This question is incomplete. Here is the complete information.

Imagen anexada

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Answer:

4.8 miles per hour.

Step-by-step explanation:

Average speed=Total distance/Time taken

=26.2miles/5.5hour

=4.8 miles per hour

Two uniformly charged, infinite, nonconducting planes are parallel to a yz plane and positioned at x = -50 cm and x = +50 cm. The charge densities on the planes are -50 nC/m² and +25 nC/m², respectively. What is the magnitude of the potential difference between the origin and the point on the x axis at x = +80 cm? (Hint:Use Gauss’ law.)

Answer:

ΔV = 2520 V

Step-by-step explanation:

We are given;

Charge density 1; σ1 = -50 nC/m² = -50 × 10^(-9) nC/m²

Charge density 2; σ2 = +25 nC/m² = +25 × 10^(-9) nC/m²

Now, formula for electric field strength is;

E = -(½ε)(|σ1| ± |σ2|)

ε is vacuum permittivity with a constant value as 8.85 × 10^(−12) C²/N.m²

|σ1| and |σ2| means we are taking the absolute values and would therefore not use the negative sign attached to them.

Now, in between x = 0 cm(0 m) and 50 cm (0.5 m), electric field generated by both charge densities would be in the same direction and thus;

E_in = -(½ε)(|σ1| + |σ2|)

E_in = -(½ × 8.85 × 10^(−12)) × [(50 × 10^(-9)) + (25 × 10^(-9))]

E_in = -4200 V/m

In contrast, when x ≥ 50 cm (0.5 m), electric field generated by both charge densities would be in opposite directions and thus;

E_out = -(½ε)(|σ1| - |σ2|)

E_out = -(½ × 8.85 × 10^(−12)) × [(50 × 10^(-9)) - (25 × 10^(-9))]

E_out = 1400 V/m

The magnitude of the potential difference from the origin to x = 80 cm(0.8 m) is calculated as attached;

From the attachment, we see that;

ΔV = 2520 V

Henry opens a savings account with an annual interest rate of 4.5 percent. After a year, he gets $75,000 in payment. He made a deposit into the savings account of $72,831.68.

Here are the steps on how to calculate the amount Henry invested:

Convert the annual interest rate to a monthly rate.

\(\begin{equation}4.5\% \div 12 = 0.375\%\end{equation}\)

Calculate the number of years.

\(\begin{equation}\frac{18 \text{ months}}{12 \text{ months/year}} = 1.5 \text{ years}\end{equation}\)

Use the compound interest formula to calculate the amount Henry invested.

\(\begin{equation}FV = PV * (1 + r)^t\end{equation}\)

where:

FV is the future value ($75,000)

PV is the present value (unknown)

r is the interest rate (0.375%)

t is the number of years (1.5 years)

\(\begin{equation}\$75,000 = PV \cdot (1 + 0.00375)^{1.5}\end{equation}\)

\$75,000 = PV * 1.0297

\(\begin{equation}PV = \frac{\$75,000}{1.0297}\end{equation}\)

PV = \$72,831.68

Therefore, Henry invested \$72,831.68 in the savings account.

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The value of a Chi-Square goodness-of-fit test at a 5% significance level is 13.45

We need to perform a Chi-Square goodness-of-fit test at a 5% significance level.

First we need to calculate the expected count

expected value = ∑(x)/n

= (40 + 33 + 35 + 32 + 60)/5

= 200/5

= 40

Now we need tocalculate the test statistic value

Observed  expected  O - E    (O - E)^t/E       %

40                40             0            0                   0

33                40             -7          1.225          9.11

35                40             -5          0.625         4.65

32                40             -8         1.6                11.90

60                40             20        10                 74.35

Chi square test is 13.45

Therefore, the value of test statistics is 13.45.

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Answer:

29+15=44

44÷7=6.28

y=6.28

Answer:

hyp = 83.9 ~ 84

Step-by-step explanation:

our given is a triangle and those are side so their squere is equal to the squere of hypothenus .

(82in) ^2 + (18in)^2 = (hyp)^2

6724 + 324 = (hyp)^2

7048 = (hyp)^2

hyp = √7048

hyp = 83.9 ~ 84 so the hypothenus is 83.9 approximate to 84

Answer:

C. Step 2; it should be m∠o + m∠p = 180 degrees (alternate exterior angles)

Step-by-step explanation:

The student first made a mistake in step 2. In order to check if the sum of the measures of the two remote interior angles of a triangle is equal to the measure of the exterior angle, it is necessary to use the property of alternate exterior angles. Alternate exterior angles are angles that are on opposite sides of the transversal and between the same parallel lines, so they are congruent. The measure of alternate exterior angles is always equal to 180 degree. Therefore, the correct statement in step 2 is that m∠o + m∠p = 180 degrees (alternate exterior angles)

Hope this helps

Rewriting the left hand side,

csc²t - cost sec t

= (1/sin²t)-(cost)(1/cost)

= 1/sin²t - 1

= 1/sin²t - sin²t/sin²t

= (1-sin²t)/sin²t

= cos²t/sin²t

= cot²t

Step-by-step explanation:

use bodmas

start with multiplication

-4*10 = -40

5+5/2 - 40

addition next

5 + 5/2 = 7.5

7.5 - 40 = -32.5

Answer:

205.60 yards

Step-by-step explanation:

The properties of a multinomial experiment include all of the following except b) the probability of each outcome can change from trial to trial.

A multinomial experiment is a statistical experiment that involves multiple categorical variables and three or more possible outcomes on each trial. The experiment consists of a fixed number of independent trials, each with the same number of possible outcomes. The probability of each outcome is fixed and known before the experiment begins. The outcomes are mutually exclusive and exhaustive, meaning that one and only one outcome can occur on each trial, and all possible outcomes together encompass all possible events. This experiment is used to analyze data from surveys, polls, and other experiments where there are multiple categories or factors that influence the outcome.

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Answer:

x= 0

Step-by-step explanation:

I'm right

The equation of the axis of symmetry for the parabola y=x² + 4x would be equal to x = 2.

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

Direction the parabola opens the value of p as positive, the parabola opens up.

The focus and vertex both have the same x position, thus the distance would be in terms of the y-coordinates only.

y=x² + 4x

x² + 4x+(-4/2)²-(-4/2)²

x² + 4x+(-2)²-(-2)²

or

y=(x- 2 )²-4

The axis of symmetry is x - 2 = 0

x = 2

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Answer:

Neither

Step-by-step explanation:

For two lines to be parallel, they must have the same slope. 2 and -2 are not the same. For lines to be perpendicular, their slopes must be negative reciprocals (ex 5 and -1/5) The slopes of these lines are not the same or negative reciprocals, so they are not parallel or perpendicular.

Hope this helps :-)

Answer:  x>15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

x

>

15

Interval Notation:

(

15

,

∞

)

x = 26.75 min

26 minutes, would = 3.51. if you add .12 to that it is 3.63.

so the most that she could talk would be 26 minutes.

182.5 is the maximum revenue.

What do revenue means?

Revenue = p(x) × x = ( 300 - x /30)x

⇒R(x) = 300x - x²/30

R'(x) = \(\frac{d}{dx} (300 - \frac{x^{2} }{30} ) = \frac{d}{dx} (300x) - \frac{d}{dx} (\frac{x^{2} }{30})\)

    300 - x /15 = 0

⇒ x = 300 . 15 = 4500

∴ Max Revenue = R(4500) = 300 . 4500 - 4500²/30 = 675000 $

Profit = Revenue - cost

P(x) = 300x -  x²/30 - (75000 + 60x)

P'(x) = d/dx ( 300x - x²/30 - ( 75000 + 60x)

       = d/dx (300x) - d/dx (x²/30) - d/dx ( 75000 + 60z))

       = 300 - x /15 -60

       = 240 - x /15

P'(x) = 0 ⇒ x = 240 . 15  = 3600

P(3600) = 300 .3600 - 3600²/30 - (75000 +60 . 3600) =357000

∴ Max profit is 357000$ when 3600 sets are manufactured

After taxation , p(x) = 300x  - x²/30 - ( 75000 + 60x) -5x

P'(x) = 300x  - x²/30 - ( 75000 + 60x) -5x

      = d/dx (300x) - d/dx (x²/30) - d/dx ( 75000 + 60x ) - d/dx (5x)

      = 300 - x/15 - 60 -5 = 235 - x/15

P'(x) = 0 ⇒ x = 235 . 15 = 3525

Pmax = P(3525) = 300 .3525 - 3525²/30 - ( 75000 + 60 .3525) - 5 .3525= 678375/2  (Decimal ; 339187.5)

P(3525) = 300 - 3525/30 = 365/2 = 182.5

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The minimum sample size required to estimate the mean weekly wage of the workers employed in the plant within plus or minus $20 with a 90% degree of confidence = 11.

To calculate the minimum sample size required to estimate the mean weekly wage of workers employed in a plant within plus or minus $20 with a 90% degree of confidence, we can use the formula for sample size determination:

n = (Z * σ / E)^2

where:

n = minimum sample size

Z = Z-score corresponding to the desired confidence level (in this case, for a 90% confidence level, Z = 1.645)

σ = standard deviation of the population

E = margin of error (in this case, $20)

The standard deviation of the weekly wages is $40 and the desired margin of error is $20, we can substitute these values into the formula:

n = (1.645 * 40 / 20)^2

Calculating this:

n = (1.645 * 2)^2

n = (3.29)^2

n = 10.8241

Since we need a whole number for the sample size, we round up to the nearest whole number:

n = 11

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Answer:18

Step-by-step explanation:

Check on a calculation

Answer:

-16r^2 - 10r

Step-by-step explanation:

all you got to do is distribute

Answer:

We're here to help! Let me take this slowly.

44. First, we have the x-coordinate of the vertex to be -b/2a which is 16. Plugging 16 in, we have y-coordinate to be 135.

Notice that it is y=(x-7)(x-1).

So, we can just plug in values for x and y. Once you've got a lot of points, you can connect the dots and see how you can graph it.

The axis of symmetry is the x-coordinate of the vertex, or x=16.

45. Do the same method as mentioned above. I personally think that using transformations are more confusing, but that's just opinion. The axis of symmetry is x=-(-4)/2(-1) = -2, so axis of symmetry is x=-2.

46. We have x=-4 or x = 1/2.

47. We have (y-7)(y-1) = 0 ==> y=7,y=1

48. We have w^2 = 9, so w = +/- 3

49. We have (p-10)(p-3)=0, so p=10, p=3

50. We have (3m+1)(m+3)=0, so m=-1/3, m=-3

18 root

2

Step-by-step explanation:

In this question imagine there is no y

It will be 10 root2 +5 root2 +3 root 2 it will be 18 root 2

The fact that z requires that you know the population standard deviation sigma is one reason why a t distribution rather than the normal curve is used to identify critical values when determining a level C confidence interval for a population mean.

C is the right response. The fact that z requires that you know the population standard deviation sigma is one reason why a t distribution rather than the normal curve is used to identify critical values when determining a level C confidence interval for a population mean.

Depending on whether we know the population standard deviation or not, we either use a z distribution or a t distribution when computing a confidence interval for a population mean. We use a z distribution when we know the group standard deviation. We employ a t distribution when it is unclear what the population standard deviation is.

The population standard deviation is not known, so we use the sample standard deviation to determine it.

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The negative trend pattern exists in the given data.

The Given information is as follows: Month 1 2 3 4 5 6 7

Value 23 15 20 12 18 22 15

To find: What type of pattern exists in the data

The pattern that exists in the given data can be determined by creating a graph between month and value. So, the graph will be as follows: Type of pattern: From the above graph, it is evident that there is a Negative trend pattern in the data. Answer: (d) Negative trend pattern.

Conclusion: Thus, the negative trend pattern exists in the given data.

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The correct answer is (d) The price must be replaced with a relative price, and the marginal values must be replaced with the corresponding Marginal Rates of Substitution.

When the value of a public good cannot be expressed in monetary terms, the Samuelson condition still holds, but some modifications are required. In this case, the per-unit price (p) used in the Samuelson condition needs to be replaced with a relative price, which represents the trade-off between the public good and other goods or services. Additionally, the marginal values (MV) of the public good need to be replaced with the Marginal Rates of Substitution (MRS), which measure the rate at which one person is willing to substitute the public good for another good.

Therefore, to determine the efficient level of the public good, the modified Samuelson condition uses a relative price and the corresponding Marginal Rates of Substitution.

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Answer:

(-6,-4)

Step-by-step explanation:

to get to -4 from 2 you have to subtract 6, making the slope x/6 but you said the slope is 3/2. divide 6 by 2 and you get 3. 3x3=9 making the slope 9/6. simplify and you get 3/2

Subtract sin (8x − 10) from both sides of the equation.

cos (6x − 12) − sin (8x − 10) = 0

Answer:

It doesn't exist

Step-by-step explanation:

since :

cos (90° – x) = sin x

cos(x) = sin(pi/2 - x)

then

cos(6x-12) =! sin(8x-10)

since (8x-10) =! (pi/2- 6+12)

then this identity of cos(6x-12) = sin(8x-10) doesn't exist

Answer:

The other sides equal 9cm also because a square has four equal sides.

L=9cm * W=9cm =A

A=81 cm