19 POINTS evaluate the expression 2n, if n = 4
ANWSER:
o 8
o 6
o 24
o 2

The correct answer is option a. $7,594.46.

To calculate the amount you would reduce the amount you owe in the first year, we can use the formula for the equal installment of a loan. The formula is:

Installment = Principal / Number of Installments + (Principal - Total Repaid) * Interest Rate

In this case, the principal is $45,000, the number of installments is 5, and the interest rate is 8.5%.

Let's calculate the amount you would reduce the amount you owe in the first year:

Installment = $45,000 / 5 + ($45,000 - $0) * 0.085Installment = $9,000 + $3,825

Installment = $12,825

Therefore, you would reduce the amount you owe by $12,825 in the first year.The correct answer is option a. $7,594.46.

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Vanessa would need to drink about ten cups of liquid to replace the weight she lost while running.

The amount of water needed to be drank is approximately 2 cups of water are required for every pound of body weight reduced.

Vanessa would need to drink about ten cups of liquid to replace the weight she lost while running.

Refilling fluid: To add fluid to something that has been drained, in particular: to replace any fluids the body has lost from dehydration. assist a patient in hydrating.

Oral rehydration solutions (ORSs), which include Pedialyte, are used to treat dehydration. ORSs, which help replace lost fluids, include the correct ratio of salt, sugar, potassium, and other minerals.

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Complete question - A general rehydration recommendation after exercise is 2.5 cups of fluid for every 1 pound of body weight lost. Using this guideline, how much fluid would Vanessa need to consume to make up for the weight that was lost during her run?

Calculation: 2 cups x lbs of body weight lost = cups of water needed

A. Approximately 4 cups of fluid

B. Approximately 8 cups of fluid

C. Approximately 6 cups of fluid

D. Approximately 10 cups of fluid

7. Vanessa asks if she should start using sports drinks. Which of the following would best answer Vanessa's question?

A. A sports drink is not beneficial for you at this time and may provide unnecessary calories.

B. A sports drink would be beneficial to replace fluid and electrolytes when exercising for less than 30 minutes.

C. A sports drink would be beneficial on days when you are exercising for over an hour at a higher intensity.

8. If Vanessa uses a sports drink in the future, how much glucose, sodium and potassium should be provided per 24 fluid ounces of sports drink?

A. No more than 30 g of glucose, 450 g of sodium and 225 mg of potassium.

B. No more than 75 g glucose, 150 mg sodium, 175 mg potassium.

C. No more than 15 g of glucose, 500 mg sodium, 200 mg potassium.

D. No more than 45 g of glucose, 225 mg of sodium and 275 mg of potassium.

A figure which is formed by two rays or lines that shares a common endpoint is called an angle.

The value of each variable. For the circle, the dot represents the center.

A figure which is formed by two rays or lines that shares a common endpoint is called an angle.

An arc is one of the portions of a circle. It is basically a part of the circumference of a circle.

1. The measure of ∠d is;

∠d+ 117°= 180°

∠d= 180°-117°= 63°

The measure of the ∠d is 63°.

2. The measure of ∠c is,

∠c+ 99°= 180°

∠c =180°-99° =81°

The measure of the ∠c is 81 degrees.

3. The measure of arc a is,

The inscribed angle measures half that of the arc comprising;

119° = 1/2 (99+ arc a)
236 = (99+ arc a)
arc a = 230 - 99

The measure of the arc a is 131°.

4. The measure of arc b is,

The inscribed angle measures half that of the arc comprising;

81 = 1/2 (131 + arc b)
162 = (131 + arc b)
arc b = 162 - 131

arc b = 31

The measure of arc b is 31°.

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Answer: -10

Step-by-step explanation:

1. Convert 6 1/4 to an improper fraction

25/4

2. Find the quotient using the keep, change, flip method

- Keep the first fraction (25/4)

- Change the division sign to a multiplication sign

- Flip the second fraction (i.e. find the reciprocal)

-5/8 -> -8/5

3. Multiply and solve by multiplying the numerators and denominators together respectively

25/4 * -8/5

25*-8 = -200

4*5 = 20

-200/20 = -10

Answer:

\(-\frac{12}{5}\)

Step-by-step explanation:

Answer:

5.4

Step-by-step explanation:

The scale of the 2 shapes is 1:1.8. so if the smaller shape's side is 3, insert 3 into the ratio. Now, multiply 3*1.8, and you get your answer of 5.4

The sentence "If it is a dog (d), it has fleas (f)" can be represented in symbolic form as d → f.

In symbolic logic, we represent the components of a sentence using letters or symbols. In this case, the given sentence has two components: "it is a dog" and "it has fleas." To represent these components, we assign the letter 'd' to "it is a dog" and the letter 'f' to "it has fleas."

The sentence "If it is a dog, it has fleas" implies a conditional relationship between the two components. It states that if something is a dog (d), then it has fleas (f). This can be symbolically represented as d → f, where the arrow (→) denotes the conditional relationship.

The given sentence, "If it is a dog (d), it has fleas (f)," can be represented in symbolic form as d → f. The arrow (→) in symbolic logic represents the conditional relationship. It indicates that if something is a dog (d), then it has fleas (f). In this symbolic representation, 'd' stands for "it is a dog," and 'f' represents "it has fleas."

The sentence is a conditional statement because it presents a hypothetical relationship between the two components. The truth value of the sentence depends on whether the antecedent (d) is true or false. If something is indeed a dog, then it implies that it has fleas. However, if it is not a dog, the statement does not make any specific claim about fleas.

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Answer is F

A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0). because division by zero is an undefined operation.

Answer:

d

Step-by-step explanation:

=1000

10^3 is 1000

Answer:

perimeter = 14

area = 6

Step-by-step explanation:

p = 4 + 3 + 7

a = L × w

2

Perimeter: 14m²n²cm

Area: 28m²n²

height: 4m²

length: 7mn²

base: 3mn²

Perimeter =?

Area=?

Perimeter: a + b + c

Area: length × height

Perimeter: a+b+c

= 4m²+7mn²+3mn²

= 14m²n² cm

Area: l×h

= 4m²×7mn²

= 28m²n²

please mark as brainliest answer pls

Answer:

84

Step-by-step explanation:

find the lcm and the hcf of the numbers and then add

Therefore, the value of n that makes the system of equations true is n = 10.

Given:

p = 2n

p - 5 = 1.5n

Substituting the value of p from the first equation into the second equation, we have:

2n - 5 = 1.5n

Next, we can solve for n by subtracting 1.5n from both sides of the equation:

2n - 1.5n - 5 = 0.5n - 5

Simplifying further:

0.5n - 5 = 0

Adding 5 to both sides of the equation:

0.5n = 5

Dividing both sides by 0.5:

n = 10

Therefore, the value of n that makes the system of equations true is n = 10.

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Answer:

Equivalent Fractions with the LCD

1/3 = 3/9

5/9 = 5/9

Solution:

Rewriting input as fractions if necessary:

1/3, 5/9

For the denominators (3, 9) the least common multiple (LCM) is 9.

LCM(3, 9)

Therefore, the least common denominator (LCD) is 9.

Calculations to rewrite the original inputs as equivalent fractions with the LCD:

1/3 = 1/3 × 3/3 = 3/9

5/9 = 5/9 × 1/1 = 5/9

These transformations result in the graph of g(x), which is a horizontally reflected, horizontally compressed, horizontally shifted, and vertically shifted version of the parent function f(x) = log(x).

To achieve the graph of g(x) = log("-2x" - 4) - 1 from the parent function f(x) = log(x), several transformations are applied.

First, a horizontal reflection occurs due to the negative coefficient in front of the x term, "-2x". This reflection flips the graph of f(x) across the y-axis.

Next, a horizontal compression takes place due to the coefficient of 2 in "-2x". This compression squeezes the graph horizontally, making it narrower compared to the parent function.

Then, a horizontal shift to the right occurs by 4 units due to the constant term -4. This shift moves the graph horizontally, shifting it to the right.

Lastly, a vertical shift downward by 1 unit takes place due to the constant term -1. This shift moves the entire graph vertically, shifting it downward.

These transformations result in the graph of g(x), which is a horizontally reflected, horizontally compressed, horizontally shifted, and vertically shifted version of the parent function f(x) = log(x).

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Answer:

1.8 × 40 + 32 = 104

if i got it wrong than your teacher is on crack

Answer:

85.40

Step-by-step explanation: This is because if you do $70*22%, this gives $15.4. Now add this to $70 to get 80.40!  So, the total is 80.40.

The Laplace transform of y''(t) + 4y(t) = sin(nt) with initial values y(0) = 0 and y'(0) = 0 is Y(s) = sin(nt)/(s^2 + 4).

Using the Laplace transform, we can write:

s^2 Y(s) - s*y(0) - y'(0) + 4Y(s) = 1/(s^2 + n^2)

Substituting y(0) = 0 and y'(0) = 0, we get:

s^2 Y(s) + 4Y(s) = 1/(s^2 + n^2)

Factoring out Y(s), we have:

Y(s) = sin(nt)/(s^2 + 4)

To find y(t), we need to take the inverse Laplace transform of Y(s). Using a table of Laplace transforms, we know that the inverse Laplace transform of sin(nt)/(s^2 + 4) is:

y(t) = u(t)*sin(2t)/2

where u(t) is the unit step function.

Therefore, the solution to the differential equation y''(t) + 4y(t) = sin(nt) with initial values y(0) = 0 and y'(0) = 0 is y(t) = u(t)*sin(2t)/2.

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Answer:

C. Obtuse

Step-by-step explanation:

 An obtuse triangle is a triangle with one obtuse angle and two acute angles.

This situation does not contradict Rolle's Theorem because Rolle's Theorem requires the function to be continuous on a closed interval and differentiable on an open interval, which is not satisfied by f(x) = tan x in the interval (0, π).

To show that f(0) = f(π), we evaluate the tangent function at these points. At x = 0, tan(0) = 0, and at x = π, tan(π) = 0. Therefore, f(0) = f(π).

To investigate whether there exists a number c in the interval (0, π) such that f'(c) = 0, we need to find the derivative of f(x). The derivative of tan x is given by f'(x) = sec² x. However, the secant squared function is never equal to zero. Therefore, there is no c in the interval (0, π) where f'(c) = 0.

This situation does not contradict Rolle's Theorem because Rolle's Theorem requires certain conditions to be met. First, the function must be continuous on the closed interval [a, b], which is not satisfied by f(x) = tan x since it is not defined at x = π/2. Second, the function must be differentiable on the open interval (a, b), but f'(x) = sec^2 x is not defined at x = π/2. Thus, the requirements of Rolle's Theorem are not fulfilled, and its conclusion does not apply to f(x) = tan x in the interval (0, π).

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Answer:

0.6

Step-by-step explanation:

Answer:

1. the function would be multiplying the last term by 3

2. 118098

Step-by-step explanation:

1. 6*3=18   *3=54   *3=162...

2. just keep multiplying

The triangle ΔBAD is congruent to the triangle ΔCDA by SSS postulates.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

If the corresponding sides of the triangles are equal. Then the triangles will be a congruent triangles. And it is known as SSS postulates.

BD = AC and AB = CD

In triangles ΔBAD and ΔCDA, we have

BD = AC             (Given)

AB = CD             (Given)

AD = AD             (Common side)

Then the triangle ΔBAD is compatible with the triangle ΔCDA by SSS proposes.

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Given:

Number of green peas = 475

Number of yellow peas = 193

Let's find the 94% confidence interval to estimate the percentage of yellow peas.

Where:

Total number of peas = 475 + 193 = 668

For the sample proportion, we have:

For a 94% confidence interval, the significance level will be:

1 - 0.94 = 0.06

For the critical value, using the z-table, we have:

Now, to find the 94% confidence interval, apply the formula::

Where:

To find the margin of error E, we have:

Thus, we have:

Hence the confidence interval will be:

Lower limit = 0.2559 ==> 25.59%

Upper limit = 0.3219 ==> 32.19 %

The confidence interval does not contain 0.25, hence we can say that the true results contradicts the expectations.

ANSWER:

The confidence interval does not contain the expectation of 25%, hence, the true results contradicts the expectation.

The car was traveling at approximately 40 ft/s when the brakes were first applied.

To find the initial velocity of the car when the brakes were first applied, we can use the kinematic equation:

v^2 = u^2 + 2as

where:

v = final velocity (0 ft/s, as the car comes to a stop)

u = initial velocity (what we want to find)

a = acceleration (deceleration due to braking, -16 ft/s^2)

s = distance (skid marks, 200 ft)

Rearranging the equation, we have:

u^2 = v^2 - 2as

Substituting the given values, we get:

u^2 = 0^2 - 2(-16 ft/s^2)(200 ft)

u^2 = 6400 ft^2/s^2

Taking the square root of both sides, we find:

u = ±80 ft/s

Since we are looking for the initial velocity, we discard the negative value as it represents the opposite direction of motion. Therefore, the car was traveling at approximately 80 ft/s when the brakes were first applied.

Note: It's important to ensure consistent units throughout the calculations, and in this case, we used the unit of feet per second (ft/s) for velocity and feet (ft) for distance.

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Answer:

1 min .234 sec

Step-by-step explanation:

3 min 25 sec to fill 75 litre gas tanks

how many min will fill 55 lite gas

lets convert 3 min 25 sec to seconds

3 min = 3 × 60 sec

60 + 25 = 85 sec

85 sec = 75

x sec = 55

cross multiply

75x = 85 × 55

75x = 4675

x = 4675/75

x = 62.33333333 sec

convert (62.3333333) sec to min

62.34 ÷ 60 = 1 min 2.34 sec

The expression that represent the amount of money she has spent from now to the end of the year is  1.50(18).

Naomi pays $1.50 each time she rides the city bus. She has already ridden the bus 18 times so far this year.

The expression 1.50b + 1.50(18) represents the amount of money she expects to spend on the bus rides for the entire year.

Therefore, the part of the expression that represents the amount of money Naomi expects to spend on bus rides between now and the end of the year can be represented as follows:

She has already ridden 18 times so far this year. Therefore, the expression that represent the amount of money Naomi expect to spend on bus rides between now and the end of year is  1.50(18).

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Answer:

the second answer is the answer

Answer:

\(x = 21 - 2\frac{1}{3}y\)

Step-by-step explanation:

3x + 7y = 63

Minus 7y from both sides, then you get...

3x = 63 - 7y

Now we divide both sides by three to find the value of x:

\(x = 21 - 2\frac{1}{3}y\)

Answer:

Inequality is \(4x+3y\leq 87\)

Slope intercept form is \(y\leq 29-\frac{4}{3}x\)

Solutions are \((2,3)\,,\,(3,4)\)

Graph: attached to the question

Step-by-step explanation:

Given: Group dance numbers last 4 minutes and a solo performance lasts 3 minutes. The maximum duration for the recital is 87 minutes.

To find: inequality (in standard form) that describes the given situation, inequality in slope-intercept form, solutions for the inequality

To graph: the inequality

Solution:

x denotes the number of group dances on the program

y denotes the number of solo numbers on the program

Total duration of group dance numbers = \(4x\) minutes

Total duration of solo performance = \(3y\) minutes

According to question,

\(4x+3y\leq 87\)

Slope intercept form of equation is \(y\leq mx+c\) where m denotes slope of line and c denotes y-intercept of the line.

Slope intercept form of \(4x+3y\leq 87\) :

\(4x+3y\leq 87\\3y\leq 87-4x\\y\leq 29-\frac{4}{3}x\)

For \((x,y)=(2,3)\),

\(4(2)+3(3)\leq 87\\8+9\leq 87\\17\leq 87\,\,which\,\,is\,\,true\)

So, \((2,3)\) is a solution of the inequality.

For \((x,y)=(3,4)\),

\(4(3)+3(4)\leq 87\\12+12\leq 87\\24\leq 87\,\,which\,\,is\,\,true\)

So, \((3,4)\) is a solution of the inequality.

Graph: attached as image