Gabriela has dinner at a cafe and the cost of her meal is
$
45.00
$45.00dollar sign, 45, point, 00. Because of the service, she wants to leave a
15
%
15%15, percent tip.
What is her total bill including tip?

Explanation

We are given the following:

We are required to determine the value of:

3We know that the multiplication and division laws of logarithm state:

Therefore, we have:

We also know that the power law of logarithm states:

Therefore, we have:

Hence, the answer is -11.

Answer:

\(\frac{5}{14}\)

Step-by-step explanation:

First, find the total number of students:

\(252+140=392\)

Then, divide the number of students at hand by the total number:

\(\frac{140}{392}\)

When possible, reduce the fraction to its simpliest form:

\(\frac{140}{392}\div\frac{28}{28}=\frac{5}{14}\)

Answer:

About 26.67 percent.

The correlation coefficient that represents the strongest relationship between two variables is -0.75.

In correlation coefficients, the absolute value indicates the strength of the relationship between variables. The strength of the association increases with the absolute value's proximity to 1.

The maximum absolute value in this instance is -0.75, which denotes a significant negative correlation. The relevance of the reverse correlation value of -0.75 is demonstrated by the noteworthy unfavorable correlation between the two variables.

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Answer:

Your answer is 3/4  or  0.75

Step-by-step explanation:

4/5  /   16/15

4/5  *   15/16

Cross simplify.

So, it will take the rider 5.1 seconds to reach a height of 50 ft above the ground after reaching the low point.

The circumference of the ferris wheel is equal to the diameter times pi, or 50*pi=157.08 ft. Since the ferris wheel makes one revolution every 40 seconds, the speed of the ferris wheel is 157.08/40=3.92 ft/sec.

Since the rider starts at a height of 30 ft above the ground and ends up 50 ft above the ground, the total change in height is 50-30=20 ft. Since the speed of the ferris wheel is 3.92 ft/sec, it will take the rider 20/3.92=5.1 seconds to reach a height of 50 ft above the ground after reaching the low point.

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Answer:

-2/3

Step-by-step explanation:

We need to pick two points on the line.

(-2,0) and (1,-2)

We can use the slope formula

m = (y2-y1)/(x2-x1)

m = ( -2-0)/(1 - -2)

   = (-2-0)/(1+2)

    = -2/3

Answer:

The rate at which the water level is rising when the depth of the water in the cup is 5 centimeters is approximately 0.407 centimeters per second.

Step-by-step explanation:

From Geometry, we find that the volume of the cone (\(V\)), measured in cubic centimeters, is defined by the formula:

\(V = \frac{\pi\cdot \cdor r^{2}\cdot h}{3}\) (Eq. 1)

All right circular cone satisfies the following relationship:

\(\frac{h}{r} = \frac{h_{max}}{r_{max}}\)

\(r = \left(\frac{r_{max}}{h_{max}} \right)\cdot h\) (Eq. 2)

Where:

\(r\) - Radius of the right circular cone, measured in centimeters.

\(h\) - Height of the right circular cone, measured in centimeters.

By applying (Eq. 2) in (Eq. 1), we get the following formula:

\(V = \frac{\pi}{3} \cdot \left(\frac{r_{max}}{h_{max}} \right)^{2}\cdot h^{3}\) (Eq. 1b)

Given that \(r_{max}\) and \(h_{max}\) are constant, we get the rate of change for the volume of the right circular cone (\(\dot V\)), measured in cubic centimeters per second:

\(\dot V = \pi\cdot \left(\frac{r_{max}}{h_{max}} \right)^{2}\cdot h^{2}\cdot \dot h\) (Eq. 2)

Where \(\dot h\) is the rate of change of the water level, measured in centimeters per second.

If we know that \(\dot V = 2\,\frac{cm^{3}}{s}\), \(r_{max} = 3\,cm\), \(h_{max} = 12\,cm\) and \(h = 5\,cm\), the rate of change of the water level is:

\(\dot h = \frac{\dot V}{\pi\cdot h^{2}}\cdot \left(\frac{h_{max}}{r_{max}} \right)^{2}\)

\(\dot h =\left[\frac{2\,\frac{cm^{3}}{s} }{\pi\cdot (5\,cm)^{2}}\right] \cdot \left(\frac{12\,cm}{3\,cm} \right)^{2}\)

\(\dot h \approx 0.407\,\frac{cm}{s}\)

The rate at which the water level is rising when the depth of the water in the cup is 5 centimeters is approximately 0.407 centimeters per second.

The rate at which the water level is rising when the depth of the water in the cup is 5 centimetre is approximately 0.407 centimetre per second.

Given the height h of the cup is 12 cm, and the radius r of the opening is 3 cm.

Given, A cup has the shape of a right circular cone.

We know that the volume of cone, V \(=\frac{\pi r^{2}h }{3}\).......equation 1.

here h is the height and r is the radius of the cone respectively.

All right circular cone satisfies the relationship, \(\frac{h}{r} =\frac{h_{max} }{r_{max} }\)

Now, \(r=\frac{r_{max} }{h_{max} } h\)...equation 2.

From equation 1 and equation 2, we get\(V=\frac{\pi }{3} . (\frac{r_{max} }{h_{max} }h) ^{2} .h\\\)

\(V=\frac{\pi }{3} .(\frac{r_{max} }{h_{max} } )^{2}. h^{3}\)

Given that \(r_{max}\) and \(h_{max}\) are constant, we get the rate of change for the volume of the right circular cone \(V_{1}\) , measured in cubic centimetre per second.

\(V_{1} =\pi (\frac{r_{max} }{h_{max} })^{2} h^{2} .h_{1}\)  here \(h_{1}\)  is the rate of change of the water level, measured in centimetres per second.

Here \(V_{1} =2cm^{3} per sec\), \(r_{max} =3\), \(h_{max}=12\) and \(h=5\) putting these values in above formulae, we get   \(2 =\pi (\frac{3}{12} )^{2} .5^{2} .h_{1}\)

on calculating we get, \(h_{1} = 0.407 cm per sec\)

Hence The rate at which the water level is rising when the depth of the water in the cup is 5 centimetre is approximately 0.407 centimetres per second.

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Answer:

4^11

Step-by-step explanation:

[(4^3)(4^4)]÷(4^1+4^-4)

using laws of indices

(4^3)(4^4)=4^(3+4)

=4^7

(4^1 +4^-4)=4^(1-4)

=4^-3

4^7/4^-3,recalling about laws of indices if the exponentials are dividiy ,you subtract the powers give their base is equal

4^7/4^-3=4^(7-(-3)

=4^(7+3)

=4^11

I think the answer is the second one?

\(answer = $78 \\ solution \\ marked \: price = $120 \\ discount \: percent = 35 \\ discount \: amount = discount \: percent \: of \: mp \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 35 \: of \: 120 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \ = $42 \\ selling \: price = mp - discount \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 120 - 42 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = $78 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment\)..

Jerry is trying to classify cells by their physical characteristics of having a nucleus, a cell wall, and the ability to conduct photosynthesis, the multicellular organism would most likely fit into the domain Eukarya.

The three domains of life are Archaea, Bacteria, and Eukarya. Archaea and Bacteria are both prokaryotic domains, consisting of organisms that lack a nucleus and membrane-bound organelles. On the other hand, Eukarya is the domain that includes organisms with eukaryotic cells, which possess a nucleus and membrane-bound organelles.

In the case of the multicellular organism described, it exhibits characteristics such as having a nucleus and a cell wall, which are typically associated with eukaryotic cells. Additionally, the ability to conduct photosynthesis indicates the presence of chloroplasts, specialized organelles involved in photosynthesis, which are typically found in eukaryotes.

Therefore, based on the given characteristics, the organism is most likely classified within the domain Eukarya, which includes a wide range of organisms such as plants, animals, fungi, and protists that possess eukaryotic cells.

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Answer:

The answer is a = -13 - 1/4b

Step-by-step explanation:

Look at attachment:

Hope this helps! :)

Answer:

196.48

Step-by-step explanation:

Area of the semi-circle:

A= (πr^2)/2

A= (3.14 x 64)/2

A= 100.48

Area of triangle:

A= 1/2bh

A= 1/2(16)(12)

A= 96

96 + 100.48= 196.48

brainliest pls

Step-by-step explanation:

Area of the given figure= area of semicircle + area of triangle

= 1/2 py r²+ 1/2 × b× h

= 1/2×22/7×8+1/2×16×12

= 760/7 m²

Answer:

We can begin by simplifying each equation:

A. 52 = 8n + 4 can be rewritten as 48 = 8n or 6 = n

B. 4(2n + 1) = 52 can be simplified to 8n + 4 = 52 or 8n = 48 or 6 = n

C. 4=52-8n can be rewritten as 8n = 48 or 6 = n

D. 4n = 48 can be simplified to n = 12

Therefore, equations A, B, and C are equivalent, and equation D is not equivalent to the others.

So, the correct answers are A, B, and C.

Answer:

Step-by-step explanation:first you have to multiply then divide then add then subtract and then substitute and then you will get the answer.

A neural network is a complicated set of possibly nonlinear equations. There are at least two degrees to a nonlinear equation.

This means that a variable in the equation can only be raised to the power of two or higher. A linear equation is typically represented as y = mx + c, where x and y are variables, m is the line's slope, and c is a constant. A nonlinear equation is one in which the highest degree of any term is two or greater. Since equation 1 has the highest degree of 2, and equation 2 involves variables x and y, this is an example of a nonlinear equation. + 2x + 1 = 0, 3x + 4y = 5, etc.

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The value of x in the triangle using the cosine rule is 22.1 degrees.

An equation is an expression that shows the relationship between two or more numbers and variables.

Cosine rule is used to show the relationship between the sides and angles of a triangle. It is given by:

c² = a² + b² - 2ab cos C

Where a, b, c are the sides and C is the angle opposite side c.

Using cosine rule:

8² = 14² + 19² - 2(14)(19) * cos(x)

cos(x) = 0.9267

x = 22.1°

The value of x in the triangle using the cosine rule is 22.1 degrees.

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Using the law of Cosines, the value of x to the nearest tenth is 77.8

From the question, we are to determine the value of x

Using the law of Cosines

c² = a² + b² - 2ab cos C

c is the unknown side length  

a and b are the given side lengths

and C is the included angle

From the given information,

a = 63

b = 62

C = 142°

Then,

x² = 63² + 61² -2×63×61 cos 142°

x² = 3969 + 3721 -7686(-0.788)

x² = 7690 + 6056.568

x² = 13746.569

x = √13746.569

x = 77.8

Hence, the value of x to the nearest tenth is 77.8

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The required answer is the approximately 5.98 feet.

The area of a circular trampoline is given as 112.07 square feet.

To find the radius of the trampoline,

area of a circle:

A = πr^2

where A is the area and r is the radius of the circle.

To find the radius,

r = √(A/π)

Substituting the given area, we have:

r = √(112.07/π)

Now,  calculate the value of the radius using a calculator or estimation. the value of π to be approximately 3.14:

r = √(112.07/3.14)
r ≈ √(35.70675)
r ≈ 5.98

Therefore, the radius of the circular trampoline is approximately 5.98 feet.

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Answer:

y+3= -4x

Step-by-step explanation:

general equation is (y-y1) = m(x-x1)

m=rise/run=  -4/1 (is negative because looking from left to right on the graph it goes downward)

pick any point on the line to put in. the equation for example (0,-3)

y+3= -4x

Interactions involving dummy variables can provide insights into the different effects of independent variables across categories.

1. Dummy variables are binary variables that represent categorical variables in a regression analysis. When interactions are included between dummy variables and other independent variables, it allows for differential effects of the independent variables based on the different levels of the categorical variable.

For example, let's consider a regression model to predict income based on education level and gender. We can include an interaction term between education level (represented by dummy variables for different levels) and gender. This interaction term allows us to examine whether the effect of education level on income differs between males and females. It helps capture any gender-specific differences in the relationship between education and income.

1.2 The linear probability model (LPM) is a common approach to estimate the probability of an event occurring using a linear regression framework. However, it has several problems:

1. The predicted probabilities from the LPM can fall outside the [0, 1] range: Since the LPM does not impose any restrictions on the predicted probabilities, they can sometimes exceed the valid probability range. This violates the assumption of probabilities being bounded between 0 and 1.

2. Heteroscedasticity: The LPM assumes constant error variance across the range of the predictors. However, in practice, the variability of the error term may change with different levels of the predictors, resulting in heteroscedasticity. This violates the assumption of homoscedasticity.

3. Non-linearity: The LPM assumes a linear relationship between the predictors and the probability of the event. However, this may not always be the case, and using a linear model can result in misspecification.

To remedy these problems, an alternative to the LPM is to use logistic regression or probit regression models. These models explicitly model the probability of an event occurring and address the issues mentioned above. They provide predicted probabilities that fall within the valid range of 0 to 1, account for heteroscedasticity, and allow for non-linear relationships between the predictors and the probability of the event.

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Answer:

18c-30d+36

Step-by-step explanation:

distribute

Answer:

18c-30d+36

Step-by-step explanation:

Step-by-step explanation:

part (a) - you plug 25 into the given function they give you and that'll be your answer

part (b) - 200 is your original amount given by the function so what is half of 200? 100. So set 100 on the right side of your function and solve for t to find the year

Answer:

bruh what grade is this tho

Step-by-step explanation:

Answer: did you make that up ??

Step-by-step explanation:

Answer:

A. Alternate interior

B. Transitive property

C. Converse alternate interior angles theorem.

Given equation is a first-order nonlinear ordinary differential equation (ODE): y' - (x + y - 1)^2 = 0

What is differential equation ?

A differential equation is an equation that contains at least one derivative of an unknown function, either a normal differential equation or a partial differential equation.

This equation can be solved using various methods, such as numerical methods or analytical methods like the implicit function theorem or the method of characteristics. However, finding an exact solution can be challenging and may not always be possible.

If you would like to find an approximate solution to this ODE, you could use numerical methods such as Euler's method, Runge-Kutta method, or the finite difference method. These methods can provide a numerical approximation to the solution for a given range of x and a specified initial condition.

The given equation is a first-order nonlinear ordinary differential equation (ODE):

y' - (x + y - 1)^2 = 0

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1/7 of the animals in the zoo are male monkeys.

To find the fraction of animals in the zoo that are male monkeys, we have to calculate the product of the fractions representing the proportion of monkeys and the proportion of male monkeys among them.

Given that 1/5 of the animals in the zoo are monkeys, we will then represent this as:

= 1/5

= 5/25.

And 5/7 of the monkeys are male which is written as 5/7.

To get fraction of male monkeys, we will multiply these two fractions:

= (5/25) * (5/7)

= 25/175

= 1/7.

Full question:

1/5 of the animals in the zoo are monkeys 5/7 of the monkeys are male. What fraction of the animals in the zoo are male monkeys?

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Let's break down the expression step by step:

Let's start with the innermost function, \($\tan^{-1} 1$\) , which is the inverse tangent of 1. The inverse tangent of 1 is \($\frac{\pi}{4}$\) radians or \($45$\) degrees.

Now, let's consider the function \($\cos^{-1} \frac{1}{2}$\) , which is the inverse cosine of

\($\frac{1}{2}$\) . The inverse cosine of \($\frac{1}{2}$ is $\frac{\pi}{3}$\)  radians or \($60$\) degrees.

Now, we have  \($\sin(\cos^{-1} \frac{1}{2} - \tan^{-1} 1)$\). Substituting the values we

found earlier, we get \($\sin(\frac{\pi}{3} - \frac{\pi}{4})$\) .

We can simplify the expression within the sine function by finding a common denominator for the two angles:

\($\frac{\pi}{3} - \frac{\pi}{4} = \frac{4\pi - 3\pi}{12} = \frac{\pi}{12}$.\)

Finally, we evaluate \($\sin(\frac{\pi}{12})$\) . The exact value of  \($\sin(\frac{\pi}{12})$\)  can be found

using trigonometric identities or a reference triangle. The exact

value is \($\frac{\sqrt{6} - \sqrt{2}}{4}$.\)

Therefore, the exact value of  \($\sin(\cos^{-1} \frac{1}{2} - \tan^{-1} 1)$\)  

is   \($\frac{\sqrt{6} - \sqrt{2}}{4}$.\)

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Answer:x=21

Step-by-step explanation:

10/14=15/x

5/7=15x^-1

(5/7)/15=ans

ans=x^-1

ans^-1=21

Answer: x=21

Step-by-step explanation:

\(\frac{10}{14} =\frac{15}{x}\)

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 14x, the least common multiple of 14,x.

x×10=14×15

Multiply 14 and 15 to get 210.

x×10=210

Divide both sides by 10.

x=

10

210

​

Divide 210 by 10 to get 21.

x=21

The expected value of the gain if you purchase one ticket is $0.749.

To calculate the expected value of the gain, we need to determine the probability of winning and the amount that can be won.

In this case, there are 1,000 tickets sold and only one television to be won. Therefore, the probability of winning the television is 1/1,000.

The amount that can be won is the value of the television minus the cost of the ticket, which is $750 - $1 = $749.

So, the expected value of the gain can be calculated as follows:

Expected value = probability of winning x amount that can be won

Expected value = (1/1,000) x $749

Expected value = $0.749

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The name for the decimal value of the point "m" on the number line is determined by the position of the point relative to the nearest whole numbers.

On a number line, each point represents a specific value. The name for a decimal value depends on its position relative to the nearest whole numbers. If the point "m" falls between two whole numbers, it is referred to as a decimal value.

For example, if "m" falls between 3 and 4 on the number line, its decimal value would be represented as 3.m or 3.m0, where "m" represents the specific decimal digit. The decimal value can be determined by measuring the distance between "m" and the nearest whole numbers and expressing it as a fraction or a decimal digit.

If "m" falls exactly on a whole number, then it is not considered a decimal value. For instance, if "m" coincides with point 5 on the number line, it is simply referred to as the whole number 5, without any decimal component. However, if "m" falls between two whole numbers, it signifies a specific decimal value determined by its position on the number line.

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