If f(x)=
=
(3+x)
(x-3)
what is f(a + 2)?

Answer:

It is probably 70 I am 90% sure.

Step-by-step explanation:

Answer:

\(\frac{5}{6}\)

Step-by-step explanation:

The divisors of 12 that are ≤12 are 1, 2, 3, 4, and 6. The probability that the roll of a dice will be a divisor of 12 is 5/6.

Answer:

Step-by-step explanation:

5/6

Answer:

2,144

Step-by-step explanation:

\(\frac{15000 - 1600}{6.25}\)  The number of visitors during the time period divided by the total hours.  

2,144

Answer:

250

Step-by-step explanation:

because 147 rounded is 150 14 is 10 and 85 is 90 these added together are 250

The value of the quotient expression given as negative 7.3 divided by one half is -14.6

The quotient expression is given as:

negative 7.3 divided by one half

Rewrite the above expression properly, as follows:

-7.3/0.5

Evaluate the quotient

-14.6

Hence, the value of the quotient expression given as negative 7.3 divided by one half is -14.6

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Answer:

-14.6

Step-by-step explanation:

Treat the one half as a fraction.

Then remember that when you divide by a fraction, you need to multiply by the reciprocal of the fraction, so dividing by half is the same as multiplying by 2. Also, negative times positive is negative.

-7.3 / (1/2) = -7.3 × 2/1 = -7.3 × 2 = -14.6

Answer:

b+3=9+3

a+5=12

a+5=b+3

12-3=9

A single outlier does not affect the values of the quartiles.

An outlier is a number that is way smaller or way larger than that of other numbers in a data set. An outlier does not affect the values of the upper and lower quartiles. This is an advantage of the upper and lower quartiles over range.

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Answer:

answer

A) 11.7²+X.6²

B) 7²+10² 0²

Answer:

a.

Step-by-step explanation:

The p-value is a measurement of the likelihood that a difference observed is due to a random chance or a sampling error. In an alternative way, the p-value of a study represents the probability or area under distribution for obtaining more radical outcomes whenever the null hypothesis is true.

Any observable change is deemed to be addressed by sampling variability if the P-value is greater than the selected alpha level. A statistical test will nearly always show a substantial difference with a suitably big sample unless there is no impact at all when the effect size is exactly zero.

As a result, simply reporting the P-value alone for a study is insufficient to fully validate the results and findings of scientific publications.

Answer:

y = 150z + .25x

y = $ amount of rental

z = weeks rented

x = miles driven

i hope this helps :)

The perimeter of rectangle M'N'O'P' is given as follows:

54 cm.

A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.

The ratio between the areas is given as follows:

126/14 = 9.

The area is measure in square units, while the perimeter is measured in units, hence the ratio of the perimeters is the square root of the ratio of the areas, that is:

3.

Hence the perimeter of rectangle M'N'O'P' is given as follows:

3 x 18 = 54 cm.

The complete problem is:

Rectangle MNOP has a perimeter of 18 cm and an area of 14 cm2. After rectangle MNOP is dilated, rectangle M'N'O'P' has an area of 126 cm2. What is the perimeter of rectangle M'N'O'P'?

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Answer:

point a is positive but point b is negative

Answer:

B

Step-by-step explanation:

i took da test

The value of x is 1.6 or 8/5 which makes the order 8/7, 1 2/5, x, 1 2/3, and 2 from least to greatest option (B) 8/5 is correct.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

These fractions are in order from least to greatest:

8/7, 1 2/5, x, 1 2/3, 2

As we know the number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, 1/2, 4/5, 3/7, etc are the numbers.

The fractions number are: 8/7, 1 2/5, x, 1 2/3, 2

The fraction can be written as a decimal:

8/7, 7/5, x, 5/3, 2

or

1.14, 1.4, x, 1.66, 2,

x will be 8/5 = 1.6

Thus, the value of x is 1.6 or 8/5 which makes the order 8/7, 1 2/5, x, 1 2/3, and 2 from least to greatest option (B) 8/5 is correct.

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Answer:

Step-by-step explanation:

Area = height × side

21   = 3 * side

side = 7 cm

The side of a rhombus is half the longer diagonal

longer diagonal = 2*side =2*7=14cm

Answer:

\(BC=5.1\)

\(B=23^{\circ}\)

\(C=116^{\circ}\)

Step-by-step explanation:

The diagram shows triangle ABC, with two side measures and the included angle.

To find the measure of the third side, we can use the Law of Cosines.

\(\boxed{\begin{minipage}{6 cm}\underline{Law of Cosines} \\\\$c^2=a^2+b^2-2ab \cos C$\\\\where:\\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides.\\ \phantom{ww}$\bullet$ $C$ is the angle opposite side $c$. \\\end{minipage}}\)

In this case, A is the angle, and BC is the side opposite angle A, so:

\(BC^2=AB^2+AC^2-2(AB)(AC) \cos A\)

Substitute the given side lengths and angle in the formula, and solve for BC:

\(BC^2=7^2+3^2-2(7)(3) \cos 41^{\circ}\)

\(BC^2=49+9-2(7)(3) \cos 41^{\circ}\)

\(BC^2=49+9-42\cos 41^{\circ}\)

\(BC^2=58-42\cos 41^{\circ}\)

\(BC=\sqrt{58-42\cos 41^{\circ}}\)

\(BC=5.12856682...\)

\(BC=5.1\; \sf (nearest\;tenth)\)

Now we have the length of all three sides of the triangle and one of the interior angles, we can use the Law of Sines to find the measures of angles B and C.

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c} $\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

In this case, side BC is opposite angle A, side AC is opposite angle B, and side AB is opposite angle C. Therefore:

\(\dfrac{\sin A}{BC}=\dfrac{\sin B}{AC}=\dfrac{\sin C}{AB}\)

Substitute the values of the sides and angle A into the formula and solve for the remaining angles.

\(\dfrac{\sin 41^{\circ}}{5.12856682...}=\dfrac{\sin B}{3}=\dfrac{\sin C}{7}\)

Therefore:

\(\dfrac{\sin B}{3}=\dfrac{\sin 41^{\circ}}{5.12856682...}\)

\(\sin B=\dfrac{3\sin 41^{\circ}}{5.12856682...}\)

\(B=\sin^{-1}\left(\dfrac{3\sin 41^{\circ}}{5.12856682...}\right)\)

\(B=22.5672442...^{\circ}\)

\(B=23^{\circ}\)

From the diagram, we can see that angle C is obtuse (it measures more than 90° but less than 180°). Therefore, we need to use sin(180° - C):

\(\dfrac{\sin (180^{\circ}-C)}{7}=\dfrac{\sin 41^{\circ}}{5.12856682...}\)

\(\sin (180^{\circ}-C)=\dfrac{7\sin 41^{\circ}}{5.12856682...}\)

\(180^{\circ}-C=\sin^{-1}\left(\dfrac{7\sin 41^{\circ}}{5.12856682...}\right)\)

\(180^{\circ}-C=63.5672442...^{\circ}\)

\(C=180^{\circ}-63.5672442...^{\circ}\)

\(C=116.432755...^{\circ}\)

\(C=116^{\circ}\)

\(\hrulefill\)

Additional notes:

I have used the exact measure of side BC in my calculations for angles B and C. However, the results will be the same (when rounded to the nearest degree), if you use the rounded measure of BC in your angle calculations.

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Answer:

According to the Central Limit Theorem, the sampling distribution of sample means would have a mean of 5.4 years.

Step-by-step explanation:

For a normally distributed random variable X, with mean and standard deviation, the sampling distribution of sample means with size n can be approximated to a normal distribution with mean and standard deviation.

As long as n is at least 30, the Central Limit Theorem can also be applied to skewed variables.

We have the following problem:

Answer:

Step-by-step explanation:

The mean of the sampling distribution of sample means can be calculated using the formula:

μM = μ

where μ is the population mean and M is the sample mean.

Thus, μM = μ = 5.4 years.

Therefore, the mean of the sampling distribution of sample means would also be 5.4 years.

HI Your answer is 42

I have calculated it you can trust me

Well you have marked right in the pic

PLEASE MARK AS BRAINLIEST

The values of the notation and the vectors of the transformation are;

1. a. D (6, 2)

b. M(-7, 8)

2. M'(2, 2), N'(3, 1), O'(7, 1)

3. The mapping notation is; (x - 6, y - 2)

The vector notation is; <-6, -2>

4. a. The vector is; \(\overrightarrow{EM}\)

The component form of the vector is; : \(\overrightarrow{EM}\) = ·6·i - 8·j

The length of the vector is 10 units

b. The vector is; \(\overrightarrow{VT}\)

The components of \(\overrightarrow{VT}\) = 5·j

The length of \(\overrightarrow{VT}\) = 5

A vector is a quantity that has magnitude and direction, such that it indicates the relative position of an object from another.

1. The translation  is  (x, y) ⇒ (x + 2, y - 5)

a. The image of D(4, 7) is therefore;

D'(4 + 2, 7 - 5) = D(6, 2)

b. The pre-image of M' (-5, 3) is M (-5 - 2, 3 + 5) = M(-7, 8)

2. The image of the triangle ΔMNO, with vertices, M(-2, 4), N(-1, 1), O(3, 3) after the translation (x, y) ⇒ (x + 4, y - 2) are;

M'(-2 + 4, 4 - 2) = M'(2, 2), N'(-1 + 4, 1 - 2) = N'(3, -1), O'(3 + 4, 3 - 2) = O'(7, 1)

3. The change in coordinate of the triangle are;

R(1, 6), R'(-5, 4), which indicates that the translation is (x - 6, y - 2)

The translation in mapping notation is (x - 6, y - 2)

The translation in vector notation is; <-6, -2>

4. a. The vector is \(\overrightarrow{EM}\)

The change in the coordinate of the vector from the start to the arrow head is; Coordinates of the vector start = (2, 9), vector head = (8, 1)

Δ = (8 - 2, 1 - 9) = (6, -8)

The component of the vector is therefore;

\(\overrightarrow{EM}\) = 6·i - 8·j

The length= √(6² + (-8)²) = 10

b. The vector is \(\overrightarrow{VT}\)

The change is from (6, 2) to (6, 7), which indicates;

Δ = (x + 0, y + 5)

The component form is therefore;

\(\overrightarrow{VT}\) = 5·j

The length = √(5²) = 5

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The value of k for the line through points (-1, k) and (-7,-2) will be 4.

What is Equation of line?

The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope 'm' is defined as;

y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The line passing through the points (-1, k) and (-7, -2).

And, The equation of parallel line is;

⇒ y = x + 1

Now,

Since, We know that;

The slopes of two parallel lines are always same.

So, We need to find the slope of given parallel line, which is same as slope of the line passing through the points (-1, k) and (-7,-2).

Slope of parallel line y = x + 1 is;

dy/dx = m₁ = 1

And, slope of the line passing through the points (-1, k) and (-7,-2) is;

m₂ = (- 2 - k) / (- 7 - (-1))

m₂ = (- 2 - k ) / (- 7 + 1)

m₂ = (- 2 - k) / (-6)

Since, m₁ = m₂

So, we can formulate;

(- 2 - k) / (-6) = 1

(2 + k) / 6 = 1

Multiply by 6, we get;

2 + k = 6

Subtract 2 both side, we get;

k = 6 - 2

k = 4

Thus, The value of k for the line through points (-1, k) and (-7,-2) will be 4.

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The rule may be extended or generalized to products of three or more functions, to a rule for higher-order derivatives of a product, and to other contexts.

Answer:

We don't need to worry about the displaystyle- {3} −3 anyway, because we dcided in the first step that displaystyle {x}ge- {2} x ≥ −2. So the domain for this case is displaystyle {x}ge- {2}, {x}ne {3} x≥ −2,x≠ 3, which we can write as displaystyle {left [- {2}, {3}right)}cup {left ({3},inftyright)} [−2,3)∪(3,∞).

Step-by-step explanation:

Answer:

6 cans

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

gotta trust

Answer:

148

Step-by-step explanation:

just searched it up good luck sorry if its wrong

Answer:

Alice wins if a total of 4 is rolled. Finn wins if a total of 11 is rolled.

Answer:

Answer: 10.5

With out being rounded it’s 10.5417

Step-by-step explanation:

The area represented by g(x) is the definite integral of g(x) with respect to t from t=0 to t=x:

g(x) = ∫(t^4) dt from 0 to x

To find g'(x) using Part 1 of the Fundamental Theorem of Calculus, we know that:

g'(x) = d/dx (∫(t^4) dt from 0 to x) = (t^4) evaluated at x = x^4

To find g'(x) using Part 2 of the Fundamental Theorem of Calculus, we can evaluate the integral:

g(x) = ∫(t^4) dt = (1/5)t^5 evaluated from 0 to x = (1/5)x^5

then take the derivative of g(x) with respect to x:

g'(x) = d/dx ((1/5) x^5) = (1/5) * 5x^4 = x^4

Both ways give the same result of g'(x) = x^4

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Answer:

8.6

Step-by-step explanation:

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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