A parking garage charges $5 for the first hour, $10 for up to two hours, and $12 for the entire day. Let G be the dollar cost of parking for t hours. Is t a function of G? Explain your reasoning. (pleaseeee help I will mark you brainliest.)

Answer:

C

Hope it helps you, tell me if im wrong pls, be safe :D

The balance of the account in 16 years if the interest is compounded continuously will be $7,599.24.

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

\(\rm A = P(1+\dfrac{r}{n})^{nt}\)

It is given that, Jane invests $5,757 in an account that earns an annual interest rate of 2%.

We must first divide "2%" by the principal ($5,757) to get a decimal, which we must then multiply by. So:

5,757 × 0.02 = 115.14

Then we multiply the product of P×R by the time, 16 years. So:

115.14 × 16 = 1,842.24

We now add the principle to our finished product. So:

5,757.00 + 1,842.24 = $7,599.24

Thus, the balance of the account in 16 years if the interest is compounded continuously will be $7,599.24.

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Answer:

\(\frac{\sqrt{15} }{2}\)

Step-by-step explanation:

\(\sqrt{f(\frac{3}{2} )\) , substitute \(\frac{3}{2}\) to x

\(f(\frac{3}{2} )=4(\frac{3}{2} )-(\frac{3}{2} )^2\) = \(\frac{15}{4}\) or 3.75

\(\sqrt{f(\frac{3}{2} )\)=\(\sqrt{3.75}\) = \(\frac{\sqrt{15} }{2}\)

Answer:

2x^3+17x^2+10x−50

Step-by-step explanation:

Check the picture below.

\(\sin( \theta )=\cfrac{\stackrel{opposite}{0.5}}{\underset{hypotenuse}{0.64}} \implies \sin^{-1}(~~\sin( \theta )~~) =\sin^{-1}\left( \cfrac{0.5}{0.64} \right) \\\\\\ \theta =\sin^{-1}\left( \cfrac{0.5}{0.64} \right)\implies \theta \approx 51.4^o\)

Make sure your calculator is in Degree mode.

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

Work Shown:

B = amount Beth earned

P = amount Pam earned

amounts are in dollars

Pam earned $4 less than 3 times as much as Beth, so,

P = 3B-4

Together they earned $860, meaning

P+B = 860

Plug the first equation into the second. Solve for B

P+B = 860

3B-4+B = 860

4B-4 = 860

4B = 860+4

4B = 864

B = 864/4

B = 216

Use this to find P

P = 3B-4

P = 3*216-4

P = 648-4

P = 644

Beth earned $216 and Pam earned $644.

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

Check:

B+P = 860

216+644 = 860

860 = 860

First equation is true

P = 3B-4

644 = 3*216-4

644 = 644

Second equation is true

Both equations are true when (B,P) = (216,644) so the solutions have been confirmed.

The distance between the points (−3, −5) and (−3, −7) is 2 units.

The distance formula gives the shortest distance between two points in a two-dimensional plane.

The distance formula is a useful tool for calculating the distance between two points.

Therefore,

d = √(x₂ - x₁)²+(y₂ - y₁)²

Let's find the distance between the points (−3, −5) and (−3, −7).

Hence,

x₁ = -3

x₂ = -3

y₁ = -5

y₂ = -7

d = √(-3 + 3)² + (-7 + 5)²

d = √(-2)²

d = √4

d = 2

Therefore, the distance between the point is 2 units.

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Answer:

1 is the answer

Answer:

the answer is C

Step-by-step explanation:

Based on the given histogram, the data is skewed with a maximum range of 49.

This is because the frequency bars are not evenly distributed across the x-axis intervals, indicating that the data is not symmetric. The lack of a shaded bar for the 40 to 49 interval also suggests that there were fewer donations in that range compared to the other intervals.

One possible explanation for this skewness could be that the charity had suggested donation levels, with a minimum of $10, resulting in a large number of donations in the 10 to 19 interval. Additionally, the shaded bar stopping at 1 for the 30 to 39 and 50 to 59 intervals suggests that there were fewer donations in those ranges. This could be due to a variety of reasons, such as donors being more likely to give in the suggested $10 increments, or the charity's fundraising efforts being more effective at attracting donors in certain age or income brackets.

Overall, the histogram does not suggest a bimodal distribution, as there is not a clear separation between two distinct modes. The maximum range of 49 also indicates that there were no extreme outliers or large donations that would skew the data towards a higher range. Therefore, it is likely that the data represents a typical distribution of donations to a charity, with most donors giving smaller amounts and fewer donors giving larger amounts.

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To solve this problem, we need to use the theorem which states that the sum of angles in a triangle is equal to 180 degrees. The value of m<FED is equal to 120 degrees. From the diagram given, m<CBD is complimentary with m<BED

The value of m<FED can be calculated by summing the entire entity and equating to 180 degrees.

Data;

\(35+(16x-8)+(2x+9) = 180\)

Reason: The sum of angles in a triangle is equal to 180 degrees.

But we would need to solve for the value of x.

\(35+(16x-8)+(2x+9) = 180\\35 + 16x - 8 + 2x + 9 = 180\\36+ 18x = 180\\180 - 36 = 18x\\18x = 144\\x = \frac{144}{18} \\x = 8\)

Let's substitute the value of x into m<FED

\(m < FED = 16x - 8\\x = 8\\m < FED = 16(8) - 8 \\m < FED = 128 - 8\\m < FED = 120^0\)

The value of m<FED is equal to 120 degrees.

From the diagram given, m<CBD is complimentary with m<BED

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Using the equation that models the proportional relationship, the amount of portion the witch drinks to be invisible for 16 minutes is: 64 ml.

The equation that represent a proportional relationship between two variables, x and y, is given as y = kx, where the unit rate of the relationship is represented as k in the equation.

Given the following:

The equation for this relationship is given as y = 4x.

To find the amount of portion (y) the witch drank to be invisible for 16 minutes (x), substitute x = 16 into y = 4x:

y = 4(16)

y = 64

The witch will drink 64 ml of the portion.

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Step-by-step explanation:

To simplify the expression x^-2y(x^3y^5)^3, we need to perform the operations inside the parentheses first, using the exponent rule that (a^m)^n = a^(mn):

x^-2y(x^3y^5)^3 = x^-2y(x^(33)y^(53)) = x^-2y(x^9y^15)

Next, we can simplify the expression by multiplying the coefficients (numbers) and adding the exponents of x and y, using the product rule that x^mx^n = x^(m+n) and (xy)^m = x^my^m:

x^-2y(x^9y^15) = (1y/x^2)(x^9*y^15) = y^(15+1)x^(9-2) = y^16x^7

Therefore, the simplified form of x^-2y(x^3y^5)^3 is y^16*x^7.

Note that this expression is defined for all values of x and y except for x=0.

Answer:

2

Step-by-step explanation:

slope of line= \( \frac{y1 - y2}{x1 - x2} \)

slope of JK

\( = \frac{3 - ( - 9)}{5 - ( - 1)} \\ = \frac{3 + 9}{5 + 1} \\ = \frac{12}{6} \\ = 2\)

Answer:

Slope = 2

Step-by-step explanation:

Slope = \(\frac{rise}{run}\)

Slope = \(\frac{3+9}{5+1}\)

Slope = \(\frac{12}{6}\)

Slope = 2

Answer:

So

Domain: (-∞,∞)

Range: [\(-\frac{105}{8} ,\)∞)

Step-by-step explanation:

Answer:

Domain: (-∞,∞)

Range: [-105/8,∞)

Step-by-step explanation: Hope this helps.

Answer:

245 miles

Step-by-step explanation:

210 = 6 gallons

210/6 = how far you can travel with one gallon

210/6 = 35

7*35 = how far you can travel with 7 gallons

7*35 = 245

Answer:

Ann drove 245 miles during her drive last weekend.

Step-by-step explanation:

If Ann used 7 gallons of gas during her drive last weekend, we can use the car's MPG to find out how far she drove by multiplying the number of gallons used by the MPG:

7 gallons * 35 miles/gallon = 245 miles

The expression that is always equivalent to sin x when 0° < x < 90° is (1) cos (90° - x). Option 1

To understand why, let's analyze the trigonometric functions involved. In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. Since we are considering angles between 0° and 90°, we can guarantee that the side opposite the angle will always be the shortest side of the triangle, and the hypotenuse will be the longest side.

Now let's examine the expression cos (90° - x). The cosine of an angle is defined as the ratio of the length of the side adjacent to the angle to the length of the hypotenuse. In a right triangle, when we subtract an angle x from 90°, we are left with the complementary angle to x. This means that the remaining angle in the triangle is 90° - x.

Since the side adjacent to the angle 90° - x is the same as the side opposite the angle x, and the hypotenuse is the same, the ratio of the adjacent side to the hypotenuse remains the same. Therefore, cos (90° - x) is equivalent to sin x for angles between 0° and 90°.

On the other hand, options (2) cos (45° - x) and (3) cos (2x) do not always yield the same value as sin x for all angles between 0° and 90°. The expression cos x (option 4) is equivalent to sin (90° - x), not sin x.

Option 1 is correct.

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wa can rewrite it as 12/1 which is A

   Actual length of the pole and the length of the shadow cast by the pole follow the proportional relationship.

Following this rule, 20 feet tall flagpole will cast 3.33 feet shadow.

  If the length of the shadow = x feet

Proportional relationship will be defined by the expression,

\(\frac{\text{Actual height}}{\text{Length of the shadow}}\rightarrow \frac{6}{1}= \frac{20}{x}\)

\(6x=20\)

\(x=\frac{20}{6}\)

\(x=3.33\) feet

   Therefore, length of the shadow cast by flagpole will be 3.33 feet.

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Answer:

Rewrite the decimal number as a fraction with 1 in the denominator

4.399=4.3991

Multiply to remove 3 decimal places. Here, you multiply top and bottom by 103 = 1000Rewrite the decimal number as a fraction with 1 in the denominator

4.399=4.3991

Multiply to remove 3 decimal places. Here, you multiply top and bottom by 103 = 10004.3991×10001000=43991000

Simplify the improper fraction,

=43991000

In conclusion,

4.399=43991000

We have that \(\frac{4399}{1000}\) is the reduced improper fraction of \(4.399\)

\(\frac{4399}{1000}\)

From the Question we are told that

Write 4.399 as a ratio of two integers

Generally to reduce 4.399 to an improper fraction we have that

\(\frac{4399}{1000}=4.399\)

Improper action representation of the given integer

We proceed to reducing the fraction .We see that the are no means to reduce the fraction

Therefore

\(\frac{4399}{1000}\) is the reduced improper fraction of \(4.399\)

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1) The mean and the standard deviation of the total amount of money that she earns in a month are of:

2) The probability that she earns more than $2750 in a given month is of: 0.3192 = 31.92%.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

When two variables are added, the mean is given by the sum of the means, hence:

\(\mu = 2100 + 550 = 2650\)

The standard deviation is given by the square root of the sum of the variances, hence:

\(\sigma = \sqrt{200^2 + 70^2} = 211.9\)

The probability that she earns more than $2750 in a given month is  one subtracted by the p-value of Z = 2750, hence:

Z = (2750 - 2650)/211.9

Z = 0.47

Z = 0.47 has a p-value of 0.6808.

1 - 0.6808 = 0.3192 = 31.92%.

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Answer:

We can use the distance formula to find the distance between two points:

distance = √[(x2 - x1)² + (y2 - y1)²]

Plugging in the coordinates, we get:

distance = √[(3 - (-2))² + (5 - (-5))²]

distance = √[5² + 10²]

distance = √(25 + 100)

distance = √125

distance ≈ 11.2 (rounded to the nearest tenth)

Therefore, the distance between (-2,-5) and (3, 5) is approximately 11.2 units.

Answer:

None of the options are correct, but I got g(x)=1/2x+2.

Step-by-step explanation:

You start with the equation. You first need to change f(x) to y, and switch the x and y values. After this, your equation would be x=2y-4. Then, you need to icolate the y value, and to do that you first cancel out the four by adding it to both sides, and now your equation should be x+4=2y. The second step in icolating the y value is dividing everything in the equation by two. Now that the y is icolated, you equation should be y=1/2x+2. You then change the y to be g(x), and that's how I got my answer, g(x)=1/2x+2. You should ask your teacher about this, becuase from my calculations, none of the given responses would be correct. Sorry if that doesn't help you at all but yeah

Answer:

D, g(x) = 1/2 x + 2

Step-by-step explanation:

The second answer IS ONE TO ONE

An equivalent inequality to the given \(-4(x + 7) < 3(x - 2)\) is \(7x > -22.\)

To find an equivalent inequality, we can start by simplifying the given inequality and then make adjustments to preserve its truth.

Let's simplify the given inequality step by step:

\(-4(x + 7) < 3(x - 2)\)

Expanding both sides:

\(-4x - 28 < 3x - 6\)

Grouping like terms:

\(-4x - 3x < -6 + 28\)

Simplifying:

\(-7x < 22\)

To maintain the direction of the inequality, we need to multiply both sides by -1.

However, when we multiply or divide both sides of an inequality by a negative number, the direction of the inequality is reversed.

Therefore, we need to flip the inequality sign:

\(7x > -22\)

Hence, an equivalent inequality to the given \(-4(x + 7) < 3(x - 2)\) is

\(7x > -22.\)

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Answer:

  (d)  y = 3x² +2x -6

Step-by-step explanation:

The equation of a parabola through thee points can be found different ways. One is to use a quadratic regression tool. Another is to write and solve linear equations in the coefficients. (3 equations in 3 unknowns).

__

Here, we can eliminate answer choices that don't work to arrive at the correct answer choice.

The point (0, -6) is the y-intercept of the function. That means the value of the constant term in the quadratic is -6. (Eliminates A and C.)

The y-values of the other two points are both greater than -6, indicating the parabola opens upward. That means the leading coefficient is positive. (Eliminates B.)

The only reasonable choice is D:

  y = 3x² +2x -6

__

Additional comment

You get the same answer if you use a regression tool.

Answer:

\(y = 3\, x^{2} + 2\, x - 6\).

Step-by-step explanation:

In general, the equation of a parabola is in the form \(y = a\, x^{2} + b\, x + c\) for some constants \(a\), \(b\), and \(c\), where \(a \ne 0\).

Let \(y = a\, x^{2} + b\, x + c\!\) denote the equation of this parabola for some constants \(a\), \(b\), and \(c\) where \(a \ne 0\). A point \((x_{0},\, y_{0})\) is on this parabola if and only if the equation of this parabola holds after substituting in \(x = x_{0}\) and \(y = y_{0}\):

\(y_{0} = a\, {x_{0}}^{2} + b\, x_{0} + c\).

Thus, each of the three distinct points on this parabola would give a equation about \(a\), \(b\), and \(c\):

Simplify the equations:

\(\left\lbrace\begin{aligned}& 9\, a - 3\, b + c = 15 \\ & c = 6 \\ & 4\, a + 2\, b + c = 10\end{aligned}\right.\).

Solve this linear system of three equations and three unknowns for \(a\), \(b\), and \(c\):

\(\left\lbrace \begin{aligned} & a = 3 \\ & b = 2 \\ & c = (-6) \end{aligned}\right.\).

Therefore, the equation of this parabola would be:

\(y = 3\, x^{2} + 2\, x - 6\).

Answer:

100,00

Step-by-step explanation:

In order to find this, you would divide 450,000,000 by 4500. You would then get the final answer of 100,000. Hope this helps!

Answer:

circumference=2πr=2×22/7×6.5=40.8571428571

option

A.

A.40.82 in

is your answer.

Step-by-step explanation:

the formula for the circumference of a circle for just the radius is

2r(pie)

so just insert 6.5 for r

2(6.5)(pie)

40.82

Hope that helps :)

Answer:

m=21

Step-by-step explanation:

based on the dilation from 'ABC' to 'QRS' (which is 3) m should =21

hope this helps! :)