Fine the missing length to the nearest 10th

Answer:

First graph:

y + 7 = C((x + 5)^3)

-3.8 + 7 = C(4^3)

3.2 = 64C, so C = .05

y = .05((x + 5)^3) - 7

Second graph:

y - 38.45 = C((x + 5)^3)

2 - 38.45 = C(4.5^3)

-36.45 = 91.125C

C = -.4

y = -.4((x + 5)^3) + 38.45

Answer:

it's 0

Step-by-step explanation:

I don't know it's answer you have to ask it to the teacher

The average rate of change over is 1.

Given that;

the function is,

⇒ g (t) = - (t - 1)² + 5

Hence, We need to determine the average rate of change over the interval - 4 ≤ t ≤ 5.

The value of G(-4):

The value of G(-4) can be determined by substituting t = -4 in the function

⇒ g (t) = - (t - 1)² + 5

Thus, we have,

⇒ g (t) = - (-4 - 1)² + 5

⇒ g (t) = - 20

Thus, the value of G(-4) = -20

The value of G(5):

The value of G(5) can be determined by substituting t = 5 in the function , we get,

⇒ g (t) = - (t - 1)² + 5

⇒ g (t) = - (5 - 1)² + 5

⇒ g (t) = - 11

Thus, the value of G(5) is, -11

Now, Average rate of change:

The average rate of change can be determined using the formula,

⇒ G(b) - G (a) / (b - a)

where, a = - 4 and b = 5

Substituting the values, we get,

⇒ G(5) - G (-4) / (5 - (-4))

⇒ ( - 11 - (- 20)) / 9

⇒ 9/9

⇒ 1

Thus, the average rate of change over the interval is. 1.

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An important concept of unit circle in geometry and trigonometry is it helps us to understand and visualize the values of sine, cosine, and tangent functions for different angles.

The unit circle is a circle with a radius of 1 unit, centered at the origin of a coordinate plane.

The coordinates of points on the unit circle correspond to the values of sine and cosine of the corresponding angle.

For example, if we draw a line from the origin to a point on the unit circle that makes an angle of θ with the positive x-axis.

The x-coordinate of that point is cos(θ) and the y-coordinate is sin(θ).

The unit circle is also useful for understanding and visualizing the properties of periodic functions, such as sine and cosine.

Since sine and cosine are periodic with a period of 2π, the unit circle repeats itself every 2π radians or 360 degrees.

Which makes it easier to analyze and graph these functions.

In addition, the unit circle helps us understand the relationships between trigonometric functions.

Pythagorean identity (sin²(θ) + cos²(θ) = 1) is a fundamental relationship that is easy to see and prove using the unit circle.

Overall, the unit circle is an important concept that provides a visual and geometric representation of trigonometric functions and their properties.

It can be a useful tool for solving problems in geometry and trigonometry.

As well as for understanding more advanced concepts in calculus and other branches of mathematics.

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Answer: The width of the garden/fence will be 15 m.

Step-by-step explanation: First, we have to understand that there will be two wide sides and two long sides, and in a rectangle, the long sides always equal each other and the wide sides equal each other as well. This means that one width and one length will equal 120/2=60.

In other words:

one length of the garden + one width of the garden = 60

Now that we know this, we move on to the "3 times" part of the question. For this step, it is easiest to imagine quarters of something, because 3/4 of something will always be 3 x 1/4 of something; The proportion for 3/4:1/4 will always be 3:1.

60 x 3/4 is equal to 45 and 60 x 1/4 is equal to 15.

To check our answer, L+W+L+W = 45+15+45+15 = 120.

This means each wide side is equal to 15.

Answer: 16

Step-by-step explanation:

I am not sure if this answer is 100% correct, but I believe this is a question involving proportions.

If you create a proportional equality equation that looks like this:

[tex]\frac{40}{30}=\frac{x}{12}[/tex]

It will give the x value as the answer to the problem. This is because the two triangles are proportional to one another.

well the first cylinder is small the other is big and if this dosent help i'm so very sorry

Answer:

8 centimeters squared.

Step-by-step explanation

This is just me assuming flower was flat???

The triangle was regular, so it measured 4 by 4 by 4. Triangle formula is 1/2bh.

1/2bh

1/2*4*4

2*4

8

Answer: 5/21

Step-by-step explanation: it just is

the answer is 5/21 (0.23)

Answer:

C. 3 pounds

Step-by-step explanation:

to use % as factors we need to represent them as what they are : parts of 100.

so, e.g. 20% = 0.2 and so on.

x = pounds of the metal with 20% nickel.

0.2x + 0.8×6 = 0.6×(x + 6) = 0.6x + 3.6

0.2x + 4.8 = 0.6x + 3.6

1.2 = 0.4x

x = 1.2/0.4 = 3

she needs to combine 3 pounds of metal with 20% nickel with 6 pounds with 80% nickel to get 9 pounds (3+6) of an alloy with 60% nickel.

Answer:

327

Step-by-step explanation:

To calculate how much Francisca and Elizabeth will raise together, we need to know how many laps or miles they walked. Unfortunately, the problem doesn't provide us with that information.

However, we can calculate how much each girl will raise individually.

Francisca will walk for 3 hours which is equal to 6 half-hours. She raises $25.50 every half-hour so she will raise:

$25.50 x 6 = $153

Elizabeth will walk for 3 hours which is equal to 12 quarter-hours. She raises $14.50 every quarter-hour so she will raise:

$14.50 x 12 = $174

Therefore, Francisca and Elizabeth will raise a total of:

$153 + $174 = $327

Answer:

True

Step-by-step explanation:

Peach snack packs averagely cost more than apple snack packs so a reasonable solution can be P is greater than A

The event lasted for 11,700 seconds.

Time is an essential concept that we use to measure the duration of events. In this context, let's consider an event that lasts for 3 hours and 15 minutes.

To convert time from hours and minutes to seconds, we need to know the number of seconds in an hour and a minute.

There are 60 minutes in an hour, and each minute has 60 seconds.

=> (3 x 60 x 60) = 10,800

=> 15 x 60 = 900

To find the total time of the event, we need to add the time in seconds for the hours and minutes, which is

=> 10,800 seconds + 900 seconds = 11,700 seconds.

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Answer: the last option is correct

Step-by-step explanation:Using the formulas for converting Cartesian coordinates to polar coordinates:

r = √(x^2 + y^2)

θ = atan2(y, x)

where x and y are the Cartesian coordinates, r is the distance from the origin to the point, and θ is the angle between the positive x-axis and the line connecting the origin to the point.

Given the Cartesian coordinates (x, y) = (-7√3/2, 7/2), we can substitute these values into the formulas:

r = √((-7√3/2)^2 + (7/2)^2)

θ = atan2(7/2, -7√3/2)

Simplifying the expressions:

r = √(147/4 + 49/4) = √(196/4) = √49 = 7

θ = atan2(7/2, -7√3/2)

Using a calculator or reference table to find the arctangent of 7/2 divided by -7√3/2, we get:

θ ≈ 5π/6

So the correct answer is: (7, 5π/6), which is option (6).

The zeros of a polynomial function are given as,

x= 1 , x= 2, x= 3 and x= -3

Let the polynomial in standard form be,

y = ( x- 1)(x - 2)(x - 3)(x +3)

⇒ y = (x² - 2x - x +2)( x² - 3x +3x - 9)

⇒ y = (x² - 3x +2)(x² - 9)

⇒ y = x⁴ - 9x² - 3x³ + 27x + 2x² - 18

⇒ y = x⁴ - 3x³ -7x² + 27x  -18

Hence option c is the correct answer.

The given cubic equation is ,

x³ +6x² +11x +6 = 0

Calculating its roots we get,

x³ +6x² +11x +6 = 0

⇒ (x +1)( x+2 )(x+ 3) = 0

Thus the roots are -1, -2, and -3

Hence all the roots are real and are of different values.

Hence option d is the correct option.

The given radical expression can be simplified as,

[tex]\sqrt[4]{625 x^8 y^{12} }[/tex] = 5[tex]x^{2} y^3[/tex]

Hence option a is the correct option.

We can simplify the given expression as,

[tex]27^{1/3}[/tex] = ∛27 = ∛(3³) = 3

Hence option d is the correct option.

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As it was a non-liquidating distribution of investment land worth $510,000 to Topolino, it reduces his stock basis by the same amount, resulting in a negative basis of ($40,000) after the distribution. The answer is (b) ($40,000).

The distribution of the investment land with a fair market value of $510,000 to Topolino is a non-liquidating distribution, which means that it reduces Topolino's stock basis by the amount of the distribution ($510,000).

Topolino's basis in the stock immediately after the distribution will be the sum of his basis in the stock before the distribution ($470,000) minus the amount of the distribution ($510,000), which results in a negative basis of ($40,000). The correct answer is (b) ($40,000).

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Answer:

x = 21.1

y = 18.3

Step-by-step explanation:

                      left triangle     right triangle     large triangle

Short leg:             12                  altitude                    y

Long legs:        altitude                 16                         x

Hypotenuse:         y                       x                          28

The three triangles are similar, so the ratios of the lengths of corresponding sides are equal.

hypotenuse/short leg

28/y = y/12

y² = 12 × 28

y² = 336

y = 18.3

hypotenuse/long leg

28/x = x/16

x² = 28 × 16

x² = 448

x = 21.1

The angle of elevation is 53.1( nearest tenth)

The angle of elevation is an angle that is formed between the horizontal line and the line of sight. Trigonometric ratio is mainly used to solve problems in this case.

A 20ft ladder leans against the wall, the height of the wall will be the opposite to angle of elevation and the height of the ladder will be the hypotenuse.

Therefore using trigonometry ratio;

sin( tetha) = opp/hyp

sin(tetha) = 16/20

sin(tetha) = 0.8

tetha = sin^-1(0.8)

tetha = 53.1°( nearest tenth)

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Answer: (a. x^4/2yz)^2       b. -3ab             c. 2(3a^2-2ab+1)/3ab                   d. -(xy^2+2y^2-4)/4xy             QUESTION 5: a. (7y^3+6v^3+3v^2)/v       b. 9x^2-7x-8

Step-by-step explanation:

For many of these, you must be able to see that anything to the first is just that number, so it will be useless to write z^1 in question one. You can then factor out, and cancel out the numbers that are the same. Then, you can simplify. This is how you can do all of these. This is a very complicated process nd will take a while to do, but once you are able to do it, it becomes easy. If you still are having trouble understanding, you can put it into a long division calculator for polynomials, and they will show you the steps. For the fifth questions, we can cancel out the common factors, and we can also apply rules such as the fraction rule or the exponent rule to do this. The key thing here is to simplify to make it easier when you divide and multiply.

Hope this helps

Mark brainlist please!

The values of the given problems are:

Using angle sum and difference identities, we can calculate:

sin(75°) = sin(45°)cos(30°) + cos(45°)sin(30°)

sin(15°) = sin(45°)cos(30°) - cos(45°)sin(30°)

Then, we find:

sin(75°) + sin(15°) =

[sin(45°)cos(30°) + cos(45°)sin(30°)] + [sin(45°)cos(30°) - cos(45°)sin(30°)]

≈ 1.22

sin(75°) - sin(15°) =

[sin(45°)cos(30°) + cos(45°)sin(30°)] - [sin(45°)cos(30°) - cos(45°)sin(30°)]

≈ 0.71

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The Complete Question

Select the correct answer from each drop-down menu.

sin75° +sin15°=

sin75°-3in15º =

The three sides of the triangle are a, b, P - (a + b)

The length of the missing side, and the lengths of all three sides of a triangular corner shelf.

Given that one side of the triangular shelf measures "a" units and another side measures "b" units, we can find the total of two sides by adding them together:

a + b = total of two sides

If the perimeter of the triangle measures "P" units, we know that the perimeter is the sum of all three sides, so:

a + b + c = P

where "c" is the length of the missing side. We can rearrange this equation to solve for "c":

c = P - a - b

To find the lengths of all three sides of the triangle, we can substitute the value of "c" that we just found into the Triangle Inequality:

a + b > P - a - b

Simplifying this inequality, we get:

2a + 2b > P

Dividing both sides by 2, we get:

a + b > P/2

So, if "a + b > P/2", then the triangle can exist, and we can use the value of "c" that we found earlier to get the lengths of all three sides:

a + b + c = P

a + b + (P - a - b) = P

c = P - (a + b)

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There are 30 minutes in [tex]\frac{2}{4}[/tex] of an hour.

To find the no. of minutes in an hour we can multiply the no. of hours by 60. Suppose to find the no. of minutes in an hour we can simply multiply 1 by 60 so we can get 60 minutes in an hour.

Similarly to find the no. of minutes are in [tex]\frac{2}{4}[/tex] of an hour we can multiply the [tex]\frac{2}{4}[/tex] by 60 to get the required minutes.

[tex]\frac{2}{4}[/tex] × 60 = [tex]\frac{1}{2}[/tex] × 60 = [tex]\frac{60}{2}[/tex]  = 30.

So, from the above explanation, we can conclude that there will be 30 minutes in the [tex]\frac{2}{4}[/tex] of an hour.

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28% of the mixture is fruit juice.

Given that, Adriana mixed 6 L of Brand A juice with 9 L of Brand B juice. Brand A contains 52% fruit juice and Brand B contains 12% fruit juice.

We need to find that what percent of the mixture is fruit juice,

So,

Fruit juice in Brand A = 6 × 0.52 = 3.12 L

Fruit juice in Brand B = 9 × 0.12 = 1.08 L

So, (3.12 + 1.08 / 6 + 9) × 100%

= 28%

Hence 28% of the mixture is fruit juice.

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To solve the equation (x - 3)^2 = 49, we can take the square root of both sides to eliminate the exponent of 2. However, when taking the square root, we need to consider both the positive and negative square roots.

(x - 3)^2 = 49

Taking the square root of both sides, we get:

√((x - 3)^2) = ±√49

Simplifying, we get:

x - 3 = ±7

Adding 3 to both sides, we get:

x = 3 ± 7

So the possible values of x are:

x = 3 + 7 = 10

x = 3 - 7 = -4

Therefore, the correct values of x are -4 and 10. The options given are -46, -4, 10, and 52. So the correct values of x from the options are -4 and 10.

Answer:

-4 and 10.

Step-by-step explanation:

When x = 1/2 and y = 4, the value of the expression (4x + 6)/8y is 1/4.

We have,

The expression is (4x + 6)/8y.

Substituting x = 1/2 and y = 4 in the given expression.

= (4x + 6)/8y

= (4(1/2) + 6)/8(4)

= (2 + 6)/32

= 8/32

= 1/4

Therefore,

When x = 1/2 and y = 4, the value of the expression (4x + 6)/8y is 1/4.

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Answer:

To determine the range of car prices for which the cash-back option will cost less, we need to find the total cost of each option over 60 months for different car prices and compare them. Let's assume the car price ranges from $20,000 to $30,000.

For the 0% financing option, the monthly payment is $16.67 per $1,000 financed, so the monthly payment for a car priced at $20,000 would be:

$20,000 / 1000 * $16.67 = $333.40 per month

Similarly, the monthly payment for a car priced at $30,000 would be:

$30,000 / 1000 * $16.67 = $500.10 per month

Over 60 months, the total cost for the 0% financing option for a car priced at $20,000 would be:

$333.40 * 60 = $20,004

And the total cost for a car priced at $30,000 would be:

$500.10 * 60 = $30,006

For the cash-back option, the cost of the car would be reduced by $2,500, so the total cost over 60 months for a car priced at $20,000 would be:

($20,000 - $2,500) + ($18.41 * $20) * 60 = $19,484

And the total cost for a car priced at $30,000 would be:

($30,000 - $2,500) + ($18.41 * $30) * 60 = $29,222

To find the range of car prices for which the cash back option will cost less, we need to compare the total cost of each option. Setting the two equations equal to each other and solving for x, we get:

($x - $2,500) + ($18.41 * $x) * 60 < $20,004

($x - $2,500) + ($18.41 * $x) * 60 > $30,006

Simplifying, we get:

$17.285x < $22,504

$17.285x > $34,256

Dividing by 17.285, we get:

$1,300.90 < x < $1,978.63

So, for car prices between $13,000.90 and $19,978.63, the cash-back option will cost less.

To find the range of car prices for which the 0% financing option is a better choice, we can simply look at the range of car prices for which the cash-back option is more expensive, which is anything outside of the range of $13,000.90 to $19,978.63. Therefore, for car prices outside of this range, the 0% financing option is the better choice.

1) Polynomial of 4 terms.

2) The rational roots of the function are,

x = - 2, 1

3) The zeroes of the function are,

x = - 2, - 3, 2

4) The zeroes of the function are,

x = 1, - 1, 2i, - 2i

5) The correct function which shows the cubic equation is, option 1.

We have to given that;

1) Function is,

⇒ 3x⁵ + 5x⁴ - 7x³ + 15

Clearly, There are 4 terms in function.

Hence, Polynomial of 4 terms.

2) Function is,

⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0

The correct rational roots are satisfy the function,

Hence, We get;

Plug x = 1,

⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0

⇒ 1⁴ + 5(1)³ + 7 (1)² - 3(1) - 10 = 0

⇒ 0 = 0

Plug x = - 2;

⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0

⇒ 2⁴ + 5(2)³ + 7 (2)² - 3(2) - 10 = 0

⇒ 0 = 0

Thus, The zeroes of the function are,

x = - 2, 1

3) Function is,

⇒ y = (x + 3) (x + 2) (x - 2)

Hence, The zeroes of the function are,

x = - 3

x = - 2

x = 2

4) Function is,

⇒ 3x² - 4 = - x⁴

⇒ x⁴ + 3x² - 4 = 0

⇒ x⁴ + 4x² - x² - 4 = 0

⇒ x² (x² + 4) - 1 (x² + 4) = 0

⇒ (x² - 1) (x² + 4) = 0

⇒ x² - 1 = 0

⇒ x² = 1

⇒ x = ±1

⇒ x² + 4 = 0

⇒ x² = - 4

⇒ x = ±2i

Hence, The zeroes of the function are,

x = 1, - 1, 2i, - 2i

5) By given graph the  correct function which shows the cubic equation is, Option 1.

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Answer:

a)

[tex]4ydy = xdx[/tex]

[tex]2 {y}^{2} = \frac{1}{2} {x}^{2} + c[/tex]

[tex] {y}^{2} = \frac{1}{4} {x}^{2} + c [/tex]

[tex] {y}^{2} - \frac{1}{4} {x}^{2} = c [/tex]

b)

c = 4, so

[tex] {y}^{2} = \frac{1}{4} {x}^{2} + 4[/tex]

[tex]y = - \sqrt{ \frac{1}{4} {x}^{2} + 4} [/tex]

[tex]y = - \frac{ \sqrt{ {x}^{2} + 16} }{2} [/tex]