A cubic function has turning points at (-1,2) and (1,-2). Which could be its graph?

Answer:

3 to the fourth power would basically mean 3 x 3 x 3 x 3

Step-by-step explanation:

Alot of people get this confused with 3 x 4 but when multuply to the power of four its 3 x 3 x 3 x 3 which is 81

Brainliest?

The company's expectation is $486.26.

Since the probability that an 80-year-old male in the U.S. will die within one year is approximately 0.069941, to determine, if an insurance company sells a one-year, $ 12,000 life insurance policy to such a person for $ 495, what is the company's expectation, the following calculation must be performed:

Therefore, the company's expectation is $486.26.

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Answer:

Sig figs, if unspecified are always the number with the least number of sig figs. 532.1 has 4 sig figs and 15 has 2 sig figs, so your answer will have 2 sig figs.

Step-by-step explanation:

The 1x8 vector resulting from multiplying each entry of x by 4.x4 = [4*x1, 4*x2, 4*x3, 4*x4, 4*x5, 4*x6, 4*x7, 4*x8]

For example, if x = [1, 2, 3, 4, 5, 6, 7, 8], x4 would be [4, 8, 12, 16, 20, 24, 28, 32]. This can be represented mathematically as x4 = [4x1, 4x2, 4x3, 4x4, 4x5, 4x6, 4x7, 4x8] which is the same as 4*x = [4x1, 4x2, 4x3, 4x4, 4x5, 4x6, 4x7, 4x8]. By multiplying each entry of x by 4, we can create a new vector x4 with every entry multiplied by 4.Multiplying each entry of a 1x8 vector x by 4 can be expressed as multiplying the vector by the scalar 4, resulting in a 1x8 vector x4. For example, if x = [1, 2, 3, 4, 5, 6, 7, 8], then x4 = [4, 8, 12, 16, 20, 24, 28, 32].

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Answer:

The other leg = 8 cm

Step-by-step explanation:

a^2 + b^2 = c^2

a^2 + (15)^2 = (17)^2

a^2 + 225 = 289

a^2 = 64

a = 8

Answer:

its 225

Step-by-step explanation:

Answer:

166.66 pounds

Step-by-step explanation:

160/0.96=166.66667

This is how I remember doing these questions

Based on the net cash flow, the depreciation and amortization, and the tax rate, the expected sales of McGwire Aerospace is $66.67 million.

First, find the net income:

= Net cash flow - depreciation and amortization

= 12 - 5

= 7 million

Given this net income, the sales are:

Net income = ( Sales - (Sales x 75%) - 5) x (1 - 40%)

7 / 0.60 = 0.25x - 5

11.67 = 0.25x - 5

0.25x = 16.67

x = 66.67 million

In conclusion, the expected sales are $66.67 million.

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Answer:

The arc-length is about 1.1953.

Step-by-step explanation:

We are given the equation:

\(y=3-x^2\)

And we want to find the length of its arc from:

\(0\leq x\leq \sqrt3/2\)

Recall that arc-length is given by the formula:

\(\displaystyle S = \int_a^b \sqrt{1+ \left(\frac{dy}{dx}\right)^2}\, dx\)

By differentiating and substituting into the arc-length formula, we will acquire:

\(\displaystyle S=\int\limits^{\sqrt{3}/2}_0 {\sqrt{1+4x^2} \, dx\)

To evaluate, we can use trigonometric substitution. Note that:

\(\displaystyle S=\int\limits^\sqrt3/2}_0 {\sqrt{(1)^2+(2x)^2} \, dx\)

Since this is in the form a² + u², we will make the substitution u = atan(θ).

In this case, a = 1 and u = 2x. Thus:

\(\displaystyle 2x = \tan \theta\)

Differentiating both sides with respect to x:

\(\displaystyle 2\, dx = \sec^2 \theta \, d\theta\)

So:

\(\displaystyle dx = \frac{1}{2}\sec^2 \theta \, d\theta\)

Additionally, we must rewrite our bounds. Hence:

\(\displaystyle 2(0) = \tan \theta \Rightarrow \theta = 0\)

And:

\(\displaystyle 2\left(\frac{\sqrt{3}}{2}\right) = \tan\theta \Rightarrow \theta = \frac{\pi}{3}\)

Thus:

\(\displaystyle S = \int_{0}^{\pi /3}\sqrt{1+(\tan\theta)^2}\cdot \frac{1}{2}\sec^2\theta\, d\theta\)

Simplify:

\(\displaystyle S = \frac{1}{2}\int_{0}^{\pi /3}\sqrt{1+\tan^2\theta} \cdot \sec^2\theta d\theta\)

Using trigonometric identities:

\(\displaystyle S = \frac{1}{2}\int_{0}^{\pi /3}\sqrt{(\sec^2\theta)} \cdot \sec^2\theta d\theta\)

Simplify:

\(\displaystyle S = \frac{1}{2}\int_{0}^{\pi /3} \sec^3\theta \, d\theta\)

We can apply the reduction formula:

\(\displaystyle \int \sec^nu \, du = \frac{\sec^{n-2}u\tan u}{n-1}+\frac{n-2}{n-1}\int \sec^{n-2} u \, du\)

Hence:

\(\displaystyle S = \frac{1}{2}\left(\frac{\sec \theta \tan\theta}{2}\Big|_{0}^{\pi /3} + \frac{1}{2} \int_0^{\pi /3} \sec \theta\, d\theta\right)\)

This is a common integral:

\(\displaystyle S = \frac{1}{2}\left(\frac{\sec \theta \tan\theta}{2}+ \frac{1}{2} \left(\ln \left(\sec \theta + \tan\theta\right)\right)\Bigg|_{0}^{\pi /3} \right)\)

Evaluate. Hence:

\(\displaystyle \begin{aligned} S = \frac{1}{2}\left[\left(\frac{\sec\dfrac{\pi}{3}\tan\dfrac{\pi}{3}}{2}+\frac{1}{2}\ln\left(\sec\dfrac{\pi}{3}+\tan\dfrac{\pi}{3}\right)\right) \\ - \left(\frac{\sec0\tan0}{2}+\frac{1}{2}\ln\left(\sec 0 +\tan 0\right)\right)\right] \end{aligned}\)

Evaluate:

\(\displaystyle \begin{aligned} S &=\frac{1}{2} \left[ \left(\frac{(2)\left(\sqrt{3}\right)}{2} + \frac{1}{2}\ln \left(2 + \sqrt{3}\right) \right)-\left(\frac{(1)(0)}{2} + \frac{1}{2}\ln \left(1+0\right) \right) \right] \\ \\&= \frac{1}{2}\left(\sqrt{3} + \frac{1}{2} \ln \left(2+\sqrt{3}\right)\right) \\ \\ &\approx 1.1953 \end{aligned}\)

Thus, the length of the arc is about 1.1953 units.

The correct answer is M. In the circular flow model, export spending is the flow of money that occurs when goods and services produced domestically are sold to foreign countries.

From the given options, the flow that represents export spending is flow M, which is the flow of goods and services from the firms to the foreign sector. Flow M represents the export of goods and services produced domestically to foreign countries, which generates income and foreign exchange for the domestic economy. The other options listed do not represent export spending but rather represent other flows such as household consumption (flow A), factor payments (flow F), government spending (flow G), and imports (flow N).

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Answer:

the circle has a radius

Step-by-step explanation:

You launch an object off a 55-foot cliff. If the object was launched at 85 feet/second,  64.23 feet/second long it will take for the object to hit the ground below. This can be solved using the concept of law of conservation of energy.

Three fundamental quantities all maintain their original values. Energy, momentum, and angular momentum are these. Energy is a conserved quantity, which could surprise you if you've read instances in previous pages, such the kinetic energy of charging elephants. The first law of thermodynamics, generally known as the law of conservation of energy, stipulates that the energy of a closed system must remain constant and cannot rise or fall on its own without external intervention.

Given that,

Height of the cliff, h= 55 Foot

Initial speed of the projectile, u = 85 m/s

Let, the projectile hit the ground with velocity "v"

Applying the law of conservation of energy,

mgh + 1/2 mu² = 1/2 mv²

or, m (gh + 1/2 u²) = 1/2 mv²

or, (gh + 1/2 u²) = 1/2 v²

or, 10 × 55 + (1/2 × (55)²) = 1/2 v²

or, 550 + 1512.5 = 1/2 v²

or, 2062.5 = 1/2 v²

or, 4125 = v²

or, v = 64.23 feet/second

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The perimeter of the given triangle with given lengths is; 78

The perimeter of a triangle is defined as the sum total of the 3 side lengths of the triangle.

Now, we are given the triangle as QRS.

We are given that;

A is the midpoint of QR

B is the midpoint of RS

C is the midpoint of SQ

Thus;

QA = RA = 10

BR = SB = 15

SQ = 28

Thus;

Perimeter of Triangle = 2(10) + 2(15) + 28 = 78

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The linear function in a data table can by found by substituting the point on the general form Ax + By + C = 0 or by plotting the points on the graph

The linear function is defined as the the function that has one or more variable without exponent.

The general form of the linear function

Ax + By + C = 0

The linear function can be written in different form

The slope intercept form is

y = mx + b

Where m is the slope of the line

b is the y intercept

You can check it by substituting the value in the equation

Another method is to plot the points on the table on a graph. If the graph is a straight line, then it will be linear function

Hence, the linear function in the data table can be find by substituting the values in the general form or the graphing method

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The measures of ∠ ABC = 81° and ∠ FEC = 90°

A common property of all kinds of triangles is the angle sum property. The angle sum property of triangles is 180°. This means that the sum of all the interior angles of a triangle is equal to 180°.

Given that, BE is the median of Δ ABC, m ∠ ABE = 40°30

40°30 = 40°+30/60° = 40.5°

Since, BE is the median so, AE = EC and m ∠ ABE = m ∠ CBE

m ∠ ABE = m ∠ CBE = m ∠ ABC → By angle sum postulate

m ∠ ABC = 40.5°*2 = 81°

Since, AB = BC, then m ∠ A = m ∠ C → {angles opposite to equal sides are equal}

In Δ ABC, let m ∠ A = m ∠ C = x

x + x + m ∠ ABC = 180°

2x = 180° -  81°

2x = 99°

x = 49.5°

Therefore,  m ∠ A = m ∠ C =  49.5°

In Δ CBE,

m ∠ BCE + m ∠ CBE + m ∠ BEC = 180°

49.5° + 40.5° + m ∠ BEC = 180°

m ∠ BEC = 180° - 90°

m ∠ BEC = 90°

Now,

m ∠ BEC + m ∠ FEC = 180° → by linear pair sum

m ∠ FEC = 180° -  90°

m ∠ FEC = 90°

Hence, The measures of ∠ ABC = 81° and ∠ FEC = 90°

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Answer:

762.24

Step-by-step explanation:

Rounded to the hundredth place

Given dimensions:

x=31 feet, y= 24 feet and z= 95 feet

We can split the shape above into 3 components: A, B, and C

To find the total area, we will find the sum of the areas of each component

For A

The shape of A is that of a semi-circle.

The area of a semi-circle is given to be

The radius will be the diameter divided by 2

y= diameter

r= radius = y/2

r=24/2 =12 feet

pi=3.14

For B

The shape is a rectangle

The area of a rectangle is given by

A = l x b

where l = 31 and b = 24

Area = 31 x 24

Area = 744 square feet

For C

The shape is a triangle

The area of the triangle is given by

base = 64 feet, height = 24 feet

The total area is

22

Answer:

796871

Step-by-step explanation:

Based on the given conditions, formulate:

5000 x (1 - (1 + 10%) 10)

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

           1 - (1 + 10%)                                                                          

Evaluate the equation/expression:

796871.23005

Find the closest integer to

798871.23005

=  796871

Answer:

The final temperature is the sum of the initial temperature and the change in temperature.  The initial temperature is 102°F.  The change in temperature is -3°F.

Operation:

102°F + (-3°F) = (102 - 3)°F = 99°F

Step-by-step explanation:

Answer:

concave up

Step-by-step explanation:

there is no negatives in the equation (in front of x-value)

The equation of the line perpendicular to 7x+5y = 4 is y = 5/7(x) -15/7. The equation of the line parallel to 7x+5y = 4 is  y = -7/5(x) -53/5

Given that: the line is perpendicular/parallel to the line 7x+5y = 4 and it passes through (−4,-5)

The slope-intercept form of a straight line is:

y = mx + c

where m is the slope and c is the y-intercept

For perpendicular case:

When the two lines are perpendicular, the product of their slope is -1 i.e.

m₁ x m₂ = -1

where m₁ and m₂ represent the slope of the lines

Let the slope of the given line be m₁ and the slope of the unknown line be m₂

Line1(given):

7x+5y = 4  => y = (-7/5)x + 4/5

Thus,  m₁ = -7/5

m₁ x m₂ = -1

-7/5 x m₂ = -1

m₂= 5/7

Line 2(unknown) with the point (−4,-5):

y = mx + c

-5 = 5/7 (-4) + c

-5 = -20/7 + c

c = -15/7

Thus, the equation of the line is y = 5/7(x) -15/7

For parallel case:

When the two lines are parallel, they have equal slope i.e. m₁ = m₂

Line1(given):

7x+5y = 4  => y = (-7/5)x + 4/5

Thus,  m₁ = -7/5

m₂= -7/5

Line 2(unknown) with the point (−4,-5):

y = mx + c

-5 = -7/5(-4) + c

-5 = 28/5 + c

c = -53/5

Thus, equation of the line is y = -7/5(x) -53/5

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Answer:

5 shipments had at least 10 broken tiles but less than 20 broken tiles.

If a parallelogram is (x + 5) cm long and (x-8) cm wide. The perimeter is: 4x - 6 cm.

The length of all four sides of a square constitutes its perimeter whereas the circumference of a circle which is also known as the perimeter is the distance around it.

One pair of opposite sides lengths are determined by (x + 5) cm and the other pair's length is determined by (x - 8) cm.

Let x represent the  perimeter P of the parallelogram:

P = 2(x + 5) + 2(x - 8)

Simplify

P = 2x + 10 + 2x - 16

P = 4x - 6

Therefore  we can conclude  that the perimeter  of x is 4x - 6 cm.

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The complete question is:

A parallelogram is (x+5)cm long and (x-8)cm wide. Find the perimeter of the parallelogram.

The trigonometric identities are verified that they are true.

What are trigonometric expressions?

Trigonometric identities are, by definition, reciprocal. These formulas show the connections between the sine/cosine functions and tangents.

1. LHS = sec x [ sec x - cos x]+(sin x+ cos x)/sin x- cot x

       = sec²x - sec x cos x +(sin x+ cos x)/sin x - cos x/sin x

       = sec²x - cos x/cos x +(sin x+ cos x- cos x)/sin x

       = sec²x - 1 + sin x /sin x

       = sec²x - 1 +1

      = sec²x

      = RHS

2. LHS = cos (π-Θ)+ sin (π/2 + Θ)

           = - cos Θ + cos Θ

           = 0

          = RHS

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The coordinates of the point on the directed line segment from (-7, 9) to (3, -1) that partitions the segment into a ratio of 2 to 3 are (-3, 5).

To find the coordinates of the point that divides the directed line segment from (-7, 9) to (3, -1) into a ratio of 2 to 3, we can use the section formula.

Let's label the coordinates of the desired point as (x, y). According to the section formula, the x-coordinate of the point is given by:

x = (2 * 3 + 3 * (-7)) / (2 + 3) = (6 - 21) / 5 = -15 / 5 = -3

Similarly, the y-coordinate of the point is given by:

y = (2 * (-1) + 3 * 9) / (2 + 3) = (-2 + 27) / 5 = 25 / 5 = 5

Therefore, the coordinates of the point that divides the line segment in a ratio of 2 to 3 are (-3, 5).

To understand this conceptually, consider the line segment as a distance from the starting point (-7, 9) to the ending point (3, -1). The ratio of 2 to 3 means that the desired point is two-thirds of the way from the starting point and one-third of the way from the ending point. By calculating the x and y coordinates using the section formula, we find that the desired point is located at (-3, 5).

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well, the profit is clearly just 490 - 350 = 140.

Now, if we take 350(origin amount) to be the 100%, what is 140 off of it in percentage?

\(\begin{array}{ccll} Amount&\%\\ \cline{1-2} 350 & 100\\ 140& x \end{array} \implies \cfrac{350}{140}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{5}{2} ~~=~~ \cfrac{100}{x}\implies 5x=200\implies x=\cfrac{200}{5}\implies x=40\)

Answer:

A. He needs 18.7 yards of fencing to go all the way around the yard.

Answer:

15.46

Step-by-step explanation:

Answer:

15.46

Step-by-step explanation: if this isnt it im sory

The measure of side length x in the right triangle is approximately 6.03 cm.

The figure in the image is a right triangle having one of its interior angle at 90 degrees.

From the figure:

Angle θ = 37 degrees

Adjacent to angle θ = 8 cm

Opposite to angle θ = x

To solve for the missing side length x, we use the trigonometric ratio.

Note that: tangent = opposite / adjacent

Hence:

tan( θ ) = opposite / adjacent

Plug in the given values and solve for x:

tan( 37 ) = x / 8

x = tan( 37 ) × 8

x = 6.03 cm

Therefore, the value of x is 6.03 cm.

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