a=
4 , 9 , or 6


- Thanks

Answer:

25

Step-by-step explanation:

So, we have (t - 6)^2 and we know t = 11

We can substitute t for 11 into the equation so that becomes:

(11 - 6)^2

Then, we use PEMDAS so we basically do what is inside the parenthesis first

11 - 6 = 5

now we have (5)^2 or in other words, 5 to the second power

This means we multiply 5 by itself so 5 x 5 = 25

Answer:

(11-6)2

=(5)2

=25

you just had to replace t with 11 in order to get your answer

Answer:

60

Step-by-step explanation:tanI=  

adjacent

opposite

​  

=  

3.8

6.7

​  

\tan I = \frac{6.7}{3.8}

tanI=  

3.8

6.7

​  

I=\tan^{-1}(\frac{6.7}{3.8})

I=tan  

−1

(  

3.8

6.7

​  

)

I=60.44\approx 60^{\circ}

I=60.44≈60  

∘

Answers:

A, B, D, E

Nearly everything except choice C is true.

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

Explanation:

Answer:

500 +500+80=1080

250+250+250+250+40+40=1080

Answer:

v2=9c3+18c2

Step-by-step explanation:

Answer:

- 14

Step-by-step explanation:

Step 1:

- 0.5x - 3 = 4      Equation

Step 2:

- 0.5x = 7        Add 3 on both sides

Step 3:

x = 7 ÷ - 0.5      Divide

Answer:

x = - 14

Hope This Helps :)

Answer:

15

5×2=10

10

3+2=5

10+5=15

The inequality comparison is 2/3 > 9/30

To compare the amounts of water poured into the cup and the jar, we can convert both fractions to a common denominator.

The least common multiple of 3 and 10 is 30, so we can rewrite the amounts of water poured as:

Now we can compare these fractions using inequality symbols:

20/30 is greater than 9/30

20/30 > 9/30 : This is true because 20/30 (or 2/3) is greater than 9/30 (or 3/10).

This means that

2/3 > 9/30

Hence, the true inequality comparisons is 2/3 > 9/30

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Answer:

The gambler's expected value if he makes the bet is $45.

Step-by-step explanation:

Expected value:

15% probability of a profit of $2000.

100 - 15 = 85% probability of having to pay $300, that is, a loss of $300.

The expected value is each outcome multiplied by it's probability, so:

\(E = 0.15*2000 - 0.85*300 = 45\)

The gambler's expected value if he makes the bet is $45.

Distance traveled after toll payment is 1.2 miles on highway 40.

The distance may be calculated using a curved route. Displacement measurements can only be made along straight lines. Distance is path-dependent, meaning it varies depending on the direction followed. Displacement simply depends on the body's beginning and ending positions; it is independent of the route.

Distance is the sum of an object's movements, regardless of direction. Distance may be defined as the amount of space an item has covered, regardless of its beginning or finishing position.

The size or extent of the displacement between two points is referred to as distance. Keep in mind that the distance between two points and the distance traveled between them are not the same. The entire length of the journey taken between two points is known as the distance traveled. Travel distance is not a vector.

Distance traveled before toll payment =3/5 miles on highway 40

Distance traveled after toll payment =2*3/5  = 6/5 =

1.2 miles on highway 40.

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Answer:

There are 40 green marbles and 28 blue marbles.

Step-by-step explanation:

There are 68 marbles in the bag. At LEAST 40 are green, therefore 68-40=28. So we have 28 blue marbles

The annualized return for the entire period is the closest to 10.5%.

To calculate the annualized return for the entire period, we need to consider the returns for each year and the return in the first quarter of Year 4. Since the returns are given for each period, we can use the geometric mean to calculate the annualized return.

The formula for calculating the geometric mean return is:

Geometric Mean Return = [(1 + R1) * (1 + R2) * (1 + R3) * (1 + R4)]^(1/n) - 1

Where R1, R2, R3, and R4 are the returns for each respective period, and n is the number of periods.

Given the returns:

Year 1 return: 5% or 0.05

Year 2 return: 12% or 0.12

Year 3 return: -6% or -0.06

First quarter of Year 4 return: 2% or 0.02

Using the formula, we can calculate the annualized return:

Annualized Return = [(1 + 0.05) * (1 + 0.12) * (1 - 0.06) * (1 + 0.02)]^(1/3) - 1

Annualized Return = (1.05 * 1.12 * 0.94 * 1.02)^(1/3) - 1

Annualized Return = 1.121485^(1/3) - 1

Annualized Return ≈ 0.105 or 10.5%

Therefore, the annualized return for the entire period is approximately 10.5%.

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The value x= -2 makes the inequality  true.

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

12 > 2x + 4

Now, if we put x= 8 then

= 2x+ 8

= 2(8)+8

= 16+ 8

= 24 > 12

So, x=8 is not true

Now,  if we put x= 4 then

= 2x+ 8

= 2(4)+8

= 8+ 8

= 16 > 12

So, x=4 is not true

Now,  if we put x= 12 then

= 2x+ 8

= 2(12 )+8

= 24 + 8

= 32 > 12

So, x=12 is not true

and,  if we put x= -2 then

= 2x+ 8

= 2(-2)+8

= -4+ 8

= 4 < 12

So, x=-2 is true.

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On solving the provided question we can say that - The number of times the geometric figure maps onto itself during a 360° rotation is the order of rotational symmetry.

The order of rotational symmetry is the maximum number of rotations that a geometry may fit in. 360°A°, where A° is the smallest angle by which a figure may be rotated from its rotated shape to match its original shape, represents the degree of rotational symmetry. (180 degrees) A shape's degree of rotational symmetry is determined by how many times a perfect circle may be turned while maintaining its appearance. Only when a triangle is back in its original beginning position will a full 360° revolution appear the same.

If a geometric figure maps onto itself when rotated around an angle at its center, it possesses rotational symmetry.The number of times the geometric figure maps onto itself during a 360° rotation is the order of rotational symmetry.

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Using the cosine ratio, the distance between Dimitri and Sarah is calculated as approximately 12.4 m.

The cosine ratio is a trigonometric ratio that represents the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle. It is calculated by dividing the length of the adjacent side by the length of the hypotenuse.

Using the cosine ratio, we have:

Reference angle (∅) = 72 degrees

Hypotenuse length = 40 m

Adjacent length = distance between Dimitri and Sarah = x

Plug in the values:

cos 72 = x/40

x = cos 72 * 40

x ≈ 12.4 [to one decimal place]

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Using multipliers, the expression is given by:

\(y = 0.9875x\)

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

The decimal multiplier for a decrease of x% is given by:

\(M = \frac{100 - b}{100}\)

In this problem, decrease of 1.25%, thus:

\(M = \frac{100 - 1.25}{100} = \frac{98.75}{100} = 0.9875\)

Alex's net proceeds is then of 98.75% = 0.9875 of y, removing the broker proceedings, thus, the expression is:

\(y = 0.9875x\)

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Answer:

(y-5) ÷ 2

Step-by-step explanation:

Answer:

<6=<1=105(being vertically opposite angle )(actually 105° is answer)

Answer:

A 12 inches 9 inches 15 inches

Answer:

The answer is  0

Let u = tan⁻¹x, then du/dx = 1/(1+x²).

Using the formula for the derivative of inverse tangent, we have:

tan(u) = x

sec²(u) du/dx = 1

du/dx = cos²(u)

Substituting into the original expression, we get:

∫(tan⁻¹x × e^tan⁻¹x)/(1+x²) dx = ∫(tan⁻¹x × e^u × cos²(u)) du

Using integration by parts with u = tan⁻¹x and dv = e^u × cos²(u) du, we get:

v = (1/2) e^u (sin(u) + u cos(u))

∫(tan⁻¹x × e^u × cos²(u)) du = (1/2) e^u (sin(u) + u cos(u)) tan⁻¹x - ∫[(sin(u) + u cos(u)) / (1+x²)] dx

Substituting back u = tan⁻¹x, we get:

∫(tan⁻¹x × e^tan⁻¹x × cos²(tan⁻¹x)) dx = (1/2) e^tan⁻¹x (x sin(tan⁻¹x) + cos(tan⁻¹x)) tan⁻¹x - ∫[(x cos(tan⁻¹x) + sin(tan⁻¹x)) / (1+x²)] dx

Using the identity sin(tan⁻¹x) = x / √(1+x²) and cos(tan⁻¹x) = 1 / √(1+x²), we simplify the expression to:

∫(tan⁻¹x × e^tan⁻¹x × cos²(tan⁻¹x)) dx = (1/2) x e^tan⁻¹x + (1/2) ∫[e^tan⁻¹x / (1+x²)] dx

The remaining integral can be solved using another substitution with v = tan⁻¹x, which results in:

∫(tan⁻¹x × e^tan⁻¹x × cos²(tan⁻¹x)) dx = (1/2) x e^tan⁻¹x + (1/2) ln(1+x²) + C, where C is the constant of integration

"97.72% of the female students have scores above," seems to be a misinterpretation as the correct statement is that approximately 99.72% of the female students have scores between the lower and upper limits

To calculate the scores that are three standard deviations above and below the mean, we use the formula:

Lower limit = Mean - (Standard Deviation * 3)

Upper limit = Mean + (Standard Deviation * 3)

Given:

Mean = 269

Standard Deviation = 33

Using the formula, we can calculate the limits:

Lower limit = 269 - (33 * 3) = 269 - 99 = 170

Upper limit = 269 + (33 * 3) = 269 + 99 = 368

Therefore, the lower limit is 170 and the upper limit is 368.

To calculate the probability that a female student will have a score between these limits, we need to find the area under the normal distribution curve between the lower and upper limits. This can be calculated using a standard normal distribution table or calculator.

Since the distribution is assumed to be normal, approximately 99.72% of the scores will fall within three standard deviations from the mean. Therefore, the probability that a female student will have a score between these limits is approximately 99.72%.

For a score of 302, which is above the mean of 269, we can calculate the percentage of female students with scores below 302:

Percentage = (1 - Probability) * 100

= (1 - 0.9972) * 100

= 0.0028 * 100

= 0.28%

Therefore, approximately 0.28% of the female students have scores below 302.

It's important to note that the value mentioned, "97.72% of the female students have scores above," seems to be a misinterpretation as the correct statement is that approximately 99.72% of the female students have scores between the lower and upper limits

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Answer:

A square is a retangle

Step-by-step explanation:

Because a squre is a rectangle

Answer:

Domain: [-4,4]

Step-by-step explanation:

Domain is representative of the space on the graph that x occupies. Because all the points are closed, there should be closed or inclusive brackets outside of the domain. Because the lowest inclusive point is -4, that should be the first domain point. The graph continues until -2, where that line stops, but the second line begins at -2, so we include this point too, and there is no need to mention it in the domain. The second line ends at 4, so that is the highest end of the domain and would be the second domain point. Therefore the domain is [-4, 4]. Remember to keep closed brackets because of the closed points.

Answer:

Here are the angles in each quadrant with a common reference angle of 165°:

First quadrant: angle is 15° (subtract 165° from 180°)

Second quadrant: angle is 195° (subtract 165° from 180° and add the result to 180°)

Third quadrant: angle is 195° (subtract 165° from 180° and then subtract the result from 180°)

Fourth quadrant: angle is 195° (subtract 165° from 360°)

\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} h=0\\ k=0\\ \end{cases}\implies y=a(~~x-0~~)^2 + 0\hspace{4em}\textit{we also know that} \begin{cases} x=3\\ y=18 \end{cases} \\\\\\ 18=a(3-0)^2+0\implies 18=9a\implies \cfrac{18}{9}=a\implies 2=a \\\\\\ y=2(~~x-0~~)^2 + 0\implies \boxed{y=2x^2}\)

Answer: x = 0

Step-by-step explanation:

Given:

   x + 4x = 0

Combine like terms:

   5x = 0

Divide both sides of the equation by 5:

   x = 0

We can also check our work by graphing. See attached, intercepts of the x-axis are solutions.