hhhhhhelp me pleaseeeeeeeeeeeeeeeeeeee

Answer:

24

Step-by-step explanation:

i dont know if its correct

By working with the exponential function, we will see that after 13.68 years the value of the card will be $27.09.

We know that the original value is $5.75, and it increases a 12% per year, then the value of the card is given by the exponential function:

\(f(x) = \$ 5.75*(1 + 0.12)^x\)

We want to find the value of x such that:

f(x) = $27.09, so we need to solve:

\(f(x) = \$ 5.75*(1 + 0.12)^x = \$ 27.09\\\\(1.12)^x = 27.09/5.75\)

Now we can apply the natural logarithm to both sides:

\(ln(1.12^x) = ln(27.09/5.75)\\\\x*ln(1.12) = ln(27.09/5.75)\\\\x = \frac{ln(27.09/5.75)}{ln(1.12)} = 13.68\)

This means that after 13.68 years, the value of the card will be $27.09.

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Answer:

true

Step-by-step explanation:

The statement 'The correct way to solve an expression is to work the problem from left to right.' is True.

"It is a combination of numbers, variables and mathematical operations."

"It is a rule that states the sequence in which the multiple operations in an expression should be solved."

For given question,

To solve an expression we use PEMDAS ordering.

This means, first we solve parentheses, then solve exponents, then perform all multiplications and divisions from left to right and lastly perform addition and subtraction, from left to right.

This means, to solve an expression work the problem from left to right.

Therefore the statement 'The correct way to solve an expression is to work the problem from left to right.' is True.

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Answer:

22/7 * 8.5 * 8.5 = answer

Answer:

Step-by-step explanation:

A = π r² ≈ 3.14 × (8.5)² = 226.865 m²

The angle θ = 90° is not a solution to trigonometric equation sin 2θ = 1. (Right choice: A)

In this problem we must determine what angle is not a solution of a given trigonometric equation. The solution set is found by means of algebra properties and trigonometric formulas:

sin 2θ = 1

2θ = 90° + 360° · i, where i is a whole number.

θ = 45° + 180° · i

According to this expression, θ₁ = 45°, θ₂ = 225° and θ₃ = - 135° are solutions to this equation. θ = 90° is not a solution of sin 2θ = 1.

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X goes left and right. Y goes up and down. Hope this help:)

11. Angle KEF = 40°, Angle KEJ = 50°

12. Angle HEF = 115°, Angle KED = 140°

13. Angle JEF = 90°, Angle KEF = 90°

14.   Angle DEF = 180°

The study of points, lines, and shapes in two and three dimensions, as well as their properties and relationships, is the focus of the mathematical discipline known as geometry.

11.  Acute angles: Those angles are less than 90 degree angles.

     Angle KEF = 40°

     Angle KEJ = 50°

     Angle KEH = 75°

     Angle JEH = 25°

     Angle HED = 65°

12. Obtuse angles: Those angles are more than 90 degree angles.

     Angle HEF = 115°

     Angle KED = 140°

13. Right angle: Those angles are 90 degree angle.

     Angle JEF = 90°

     Angle KEF = 90°

14. Straight angle: Those angles make 180 degree angle.

     Angle DEF = 180°

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For f to be continuous at x=2, b must be equal to 6.  That is, when b=6, there is no break in the function at x=2, and the function is continuous.

To determine the value of b for which f is continuous at x=2, we need to first find the limit of f(x) as x approaches 2 from the left and from the right. From the left, the limit is 4b-4. From the right, it is 2b+2. To make the function continuous at x=2, we need to make sure that the left- and right-hand limits are equal. Setting the two limits equal to each other, 4b-4 = 2b+2, and solving for b yields b=6. Therefore, for f to be continuous at x=2, b must be equal to 6.

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The shape with a rotational symmetry would remain the same when rotated

The shape with the smallest angle of rotational symmetry of 180 degrees is shape D

To do this, we simply examine each of the options

Shape A: Cross

The shape has 4 equal sides.

So, the smallest angle of rotational symmetry is:

Angle = 360/4

Angle = 90

The smallest angle of rotational symmetry is 90 degrees

Shape B: Star

The shape has 5 vertices.

So, the smallest angle of rotational symmetry is:

Angle = 360/5

Angle = 72

The smallest angle of rotational symmetry is 72 degrees

Shape C: Composite figure

This shape has a square and a triangle merged together at two ends

This means that the smallest angle of rotational symmetry is a complete rotation of 360 degrees

Shape D: Circle

The circle is divided into two equal segments.

The angle on the straight line of each segment is:

Angle = 360/2

Angle = 180

The smallest angle of rotational symmetry is 180 degrees

Hence, the shape with the smallest angle of rotational symmetry of 180 degrees is shape D

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x+7.9=8.5

solving x would be .6

if my answer helps please mark as brainliest.

Answer:

Approximately \(0.012\) (that's approximately \(1.2\%\).)

Step-by-step explanation:

The question did not specify the exact distribution of the size of those images. However, the sample size \(n = 80\) is a rather large number. Assume that:

If both assumptions are met, the central limit theorem would apply. This theorem would suggest that the sum of the sizes of these \(80\) image (a random variable) will approximately follow a normal distribution. The mean of that sum would be approximately \(n\cdot \mu= 80 \times 0.5\). The standard deviation of that sum would be approximately \(\sigma\, \sqrt{n} = 0.2\times \sqrt{80}\).

Let \(\displaystyle \Sigma X\) denote the sum of these eighty sizes.

Under these assumption, \(\displaystyle \Sigma X \stackrel{\text{app.}}{\sim} \mathrm{N}\left(n\, \mu,\, \sigma\,\sqrt{n}\right)\).

That is: \(\displaystyle \Sigma X \stackrel{\text{app.}}{\sim} \mathrm{N}\left({80\times 0.5},\, \left(0.2\times \sqrt{80}\right)^2}\right)\).

The question is asking for the probability \(P(49 \le \Sigma X \le 53)\). Therefore, calculate the \(z\)-score that corresponding to \(\Sigma X = 49\) and \(\Sigma X = 53\):

Make use of a \(z\)-table to find these two probabilities:

Calculate the probability that this question is asking for:

\(\begin{aligned}& P(49 \le \Sigma X \le 53) \\ &= P(\Sigma X < 53) - P(\Sigma X < 49) \\ & \approx 0.99942 - 0.98778 \approx 0.012 = 1.2\%\end{aligned}\).

The graph of the quadratic function y = -2x² + 1 is given by the image presented at the end of the answer.

The parent quadratic function is given as follows:

y = x².

The transformed quadratic function is given as follows:

y = -2x² + 1.

The transformations are given as follows:

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How can I complete step 3 in proof and review it what is step 3

Answer:

Suppose the equation that describes the change in water vapor in a cloud (y) with respect to temperature (x): C(x) = x³ - 4x² - 7x + 10

You find the x-intercepts of the cubic equation by finding the roots. Let y be zero:

x³ - 4x² - 7x + 10 = 0

Now, find possible factors of the constant term in the equation: 10. These could be 1, 2, 5, and 10. Suppose we choose 1. We substitute x=1. If the answer is zero, then x=1 is one of the roots.

(1)³ - 4(1)² - 7(1) + 10 = 0

Hence, x=1 or x-1 = 0 is one of the roots. We use this to manipulate the rest of the terms in the original equation, such that you can factor out (x-1). Substitute -x² - 3x² to -4x³ because they are just equal. Same is true for +3x - 10x for -7x:

x³ -x² - 3x²+3x - 10x + 10 = 0

Factor out like terms such that they have a common factor of (x-1) as much as possible.

x³ -x² = x²(x-1)

- 3x²+3x = -3x(x-1)

- 10x + 10 = -10(x-1)

The factored equation is:

x²(x-1)-3x(x-1)-10(x-1) = 0

Factor out (x-1):

(x-1)(x²-3x-10) = 0

Now, we have the quadratic equation left to be solved:x²-3x-10

Use the quadratic formula to find the roots:

x = [-b +/- √(b²-4ac)]/2a,

The a, b and c coefficients are based on the general form of the quadratic equation: ax² + bx + c. Hence, a=1, b=-3 and c=-10. Substituting the values:

x = [-(-3) +/- √((-3)²-4(1)(-10))]/2(1)

x = 5, -2

Therefore, the roots of the cubic equations are x = 1, x = 5 and x =- 2. These are the x-intercepts of the equation. At temperatures °C, 5°C and -2°C, there is no change in water vapor in a cloud. The graph is shown in the attached picture

Step-by-step explanation:

Answer:

Center: (-3, 2)

Radius: 4

Step-by-step explanation:

x2 + 6x + y2 - 4y = 3​

x² + 6x + 9 + y² - 4y + 4 = 3 + 9 + 4

(x + 3)² + (y - 2)² = 16

(x + 3)² + (y - 2)² = 4²

Center: (-3, 2)

Radius: 4

Answer:

Very handy question to know the answer to. I know of no place on the planet that does not have a tax of some sort.

The tax only applies when money changes hands. It does not apply to any discounts

So if you take the deal, the cost is

Cost of 2 pizzas = normal price - the discount.

Cost of 2 pizzas = 2*10.50 - 2.00

Cost of 2 pizzas = 21 - 2

Cost of 2 pizzas = 19.00 dollars.

Not you add on the sales tax. You can do this one of two ways, the long way or the short way.

Long way

Find the sales tax

Tax = % * cost

Tax = (7.5/100) * 19

Tax = 1.425 don't round yet.

Total Cost = purchase + tax

Total Cost = 19.00 + 1.425 = 20.425 Now round. This is a real problem. It depends on what you have been told to do about rounding when 5 is the last digit. I round up. So my answer would be 20.43 <<<<< Answer.

Short Way

Cost = (Price - discount)*(1 + %/100)

Cost = (21 - 2)*(1+ 7.5/100)

Cost = 19 * (1.075)

Cost = 20.425 = 20.43

Step-by-step explanation:

Answer: range: 49-22=27

median: 40+41=81 81/2=40.5

mean: add up all the numbers=485 485/12=40.4

mode: 39, 40 and 46

Answer:

simple 49-22=27

mode 39, 40 and 46

Step-by-step explanation:

Answer:

8 meters.

Step-by-step explanation:

the formula for the hypotenuse of a right triangle is: \(a^2 + b^2 = c^2\). Where C= hypotenuse and a and b = other sides. We can sub in a and c to get \(6^2 + x^2 = 10^2\\\). Simplify to \(36+x^2=100\). Subtract 36 from both sides to get x^2 = 64. \(\sqrt{64} =8\)

The ratio of the number of chocolate cakes to the number of vanilla cakes​ is 14:3

To find the ratio of the number of chocolate cakes to the number of vanilla cakes, we can first find the total number of cakes baked and then the number of vanilla cakes.

Since 30% of the cakes are vanilla cakes. Let the total number of cakes baked be x.

Thus, the number of vanilla cakes is 0.30x.

Since only half of the vanilla cakes were sold, the number of vanilla cakes remaining is 0.5 × 0.30x = 0.15x.

Since the total number of cakes baked is x, the number of chocolate cakes is x - 0.30x = 0.70x

Thus, the ratio of the number of chocolate cakes to the number of vanilla cakes is:

0.70x : 0.15x

14 : 3

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Answer:1.5

Step-by-step explanation:

Y=1/2 of x

The area of the 72-degree sector of a circle with a radius of 10 is approximately 62.8318 square units.

To find the area of a sector, you can use the formula:

Area of sector = (θ/360) * π * \(r^2\)

where θ is the central angle of the sector, π is a mathematical constant approximately equal to 3.14159, and r is the radius of the circle.

In this case, the central angle is 72 degrees and the radius is 10. Plugging these values into the formula, we get:

Area of sector = (72/360) * π * \(10^2\)

= (1/5) * π * 100

= (1/5) * 3.14159 * 100

= 0.2 * 3.14159 * 100

= 0.628318 * 100

= 62.8318

Therefore, the area of the 72-degree sector of a circle with a radius of 10 is approximately 62.8318 square units.

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13689÷ 3

4563÷3

1521÷3

507÷3

169÷13

117 ,, ans

This function represents a downward-opening parabola with a vertical shift of 6 units upward.

The given function is Ƒ(t) = –1/(2t²) + 2t + 6.

This is a quadratic function in terms of t. The general form of a quadratic function is f(t) = at² + bt + c, where a, b, and c are constants.

Comparing the given function Ƒ(t) = –1/(2t²) + 2t + 6 with the general form, we can see that a = -1/2, b = 2, and c = 6.

So, the function Ƒ(t) can be written as:

Ƒ(t) = (-1/2)t² + 2t + 6

This function represents a downward-opening parabola with a vertical shift of 6 units upward.

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Answer:

sin(r) = 15/17

cos(r) = 8/17

tan(r) = 15/8

sin(s) = 8/17

cos(s) = 15/17

tan(s) = 8/17

Step-by-step explanation:

⭐What are trigonometric functions?

To find out what sin, cos, or tan of each angle is, we need to identify what type of side lengths the given side lengths are (opposite, adjacent, or hypotenuse).

I have labeled it in the picture attached to this response.

⭐if this response helped you, please mark it the "brainliest"!⭐

The expression for the perimeter is 8x + 14.

The perimeter of the rectangle is 54 cm.

We have,

The perimeter of the rectangle.

= 2 (length x width)

Length = 2(x + 4)

Width = 3x - 1

Now,

The perimeter of the rectangle.

= 2 ( 2(x + 4) + 2x - 1)

= 2 (2x + 8 + 2x - 1)

= 2 (4x + 7)

= 8x + 14

Now,

Substitute x = 5 cm

8x + 14

= 8 x 5 + 14

= 40 + 14

= 54 cm

Thus,

The expression for the perimeter is 8x + 14.

The perimeter of the rectangle is 54 cm.

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The given focal points and the lengths of the minor and major axis of 16 and 20 gives the equation of the ellipse as the option;

\( B. \: \frac{(x + 3)^{2}}{ 100} + \frac{(y - 2)^{2}}{ 64} = 1 \)

The equation of an ellipse is presented as follows;

\( \mathbf{ \frac{(x - h)^{2}}{ {a}^{2} } + \frac{(y - k)^{2}}{ {b}^{2} } } = 1 \)

Where;

(x, y) = Coordinates of the center of the ellipse

a = Semi major axis

b = Semi minor axis

Length of minor axis = 16 units

Length of major axis = 20 units

By observation of the coordinates of the focal point, we have;

y-value of the center of the ellipse, k = 2

x-value of the center, h = (-9 + (3 - (-9))/2 = -3

The equation of the ellipse is therefore;

\( \frac{(x - ( - 3))^{2}}{ {10}^{2} } + \frac{(y - 2)^{2}}{ {8}^{2} } = 1 \)

\( \frac{(x + 3)^{2}}{ 100} + \frac{(y - 2)^{2}}{ 64} = 1 \)

The equation that represents the ellipse is the option;

\( B. \: \frac{(x + 3)^{2}}{ 100} + \frac{(y - 2)^{2}}{ 64} = 1 \)

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Answer:

part a: true

part b: false

part c: False

part d: true

Answer:

0.7769 = 77.69% probability that the owner will experience at least one Category III hurricane during the mortgage period

Step-by-step explanation:

We have only the mean, so we use the Poisson distribution to solve this question.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

\(P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}\)

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\(\mu\) is the mean in the given interval.

It uses the estimate that the probability of a named Category III hurricane or higher striking that particular region of the coast in any one year is 0.05.

This means that \(\mu = 0.05n\), in which n is the number of yeas.

If a homeowner takes a 30-year mortgage on a recently purchased property, what is the likelihood that the owner will experience at least one Category III hurricane during the mortgage period

30 years means that \(\mu = 0.05*30 = 1.5\).

This probability is:

\(P(X \geq 1) = 1 - P(X = 0)\)

In which

\(P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}\)

\(P(X = 0) = \frac{e^{-1.5}*(1.5)^{0}}{(0)!} = 0.2231\)

\(P(X \geq 1) = 1 - P(X = 0) = 1 - 0.2231 = 0.7769\)

0.7769 = 77.69% probability that the owner will experience at least one Category III hurricane during the mortgage period

Let X become a variable refer to the number of Category ll hurricanes that occurred during the mortgage period. As per the information given, the variable x has a random variable.

For point a:

     \(\to P(X > 1) = 1 - P(X = 0)\\\\ \to P(X > 1) = 1^{-30} C_o (0.05)^0 (1 -0.05)^{30}\\\\ \to P(X > 1) = 0.7854\)

For point b:

\(\to P(X > 2) = 1 - P(X =0) - P(X = 1)\\\\ \to P(X > 2) = 1 ^{-30} C_0(0.05)^0 (1 -0.05)^{30 -30} C_1 (0.05)^1+(1 - 0.05)^{29}\\\\ \to P(X > 2) = 0.4465\)

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