Silva the formula I=Prt, in general, to find the principal, p.

Answer: 3 ≤ 47

Step-by-step explanation:

The inequality given is 3 ≤ 47.

To determine the solutions to this inequality, we need to find the values of x that satisfy the inequality.

Looking at the options provided:

x = 24: This is not a solution because 24 is less than 47.

x = 51: This is a solution because 51 is greater than or equal to 47.

x = 6: This is not a solution because 6 is less than 47.

x = 99: This is a solution because 99 is greater than or equal to 47.

Therefore, the solutions to the inequality 3 ≤ 47 are x = 51 and x = 99.

3.1.1 The basic property of operations used is the commutative property of multiplication.

3.1.2 The basic property of operations used is the additive inverse property.

3.1.3 The basic property of operations used is the associative property of addition.

3.1.1 The basic property of operations used in this calculation is the commutative property of multiplication. It states that the order of the factors in a multiplication problem can be rearranged without changing the product. In this case, the numbers 25 and 4 were swapped, resulting in the same product of 100.

3.1.2 The basic property of operations used in this calculation is the additive inverse property. It states that for any number, there exists an additive inverse such that when the number and its additive inverse are added together, the result is zero. In this case, adding 412 and its additive inverse (-412) results in zero.

3.1.3 The basic property of operations used in this calculation is the associative property of addition. It states that the grouping of numbers being added does not affect the sum. In this case, the numbers 25, 37, 20, 5, 30, and 7 were regrouped to facilitate easier mental addition. By grouping 25 and 37, and then grouping 20, 5, 30, and 7, the final sum of 62 is obtained, which is the same as adding all the numbers together in the original order.

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Answer:

500 below because you just do the opposite

Answer:

The domain of the function should be:

'x greater than or equal to negative -5'.

Hence, option A is true.

Step-by-step explanation:

Given the expression

\(2\sqrt{x-5}\)

The domain of a function is the set of input or arguments for which the function is real and defined

We know that the value, inside the radicand, is the number found inside a radical symbol which must be greater than 0, otherwise, it would make the function undefined,

i.e.

x-5 ≥ 0

x ≥ 5

In other words, the domain of the function should be:

'x greater than or equal to negative -5'.

Therefore, the domain of the function:

x ≥ 5

\(\mathrm{Domain\:of\:}\:2\sqrt{x-5}\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:5\:\\ \:\mathrm{Interval\:Notation:}&\:[5,\:\infty \:)\end{bmatrix}\)

Hence, option A is true.

The domain of the function y = 2√(x - 5) will be x greater-than-or-equal-to 5. Then the correct option is C.

The domain means all the possible values of x and the range means all the possible values of y.

The function is given below.

y = 2√(x - 5)

Then the domain of the function will be

We know that the value inside the square root should be greater than or equal to zero. Then the domain will be

x - 5 ≥ 0

Simplify the inequality, then the domain of the function will be

x - 5 ≥ 0

x ≥ 5

The domain of the function y = 2√(x - 5) will be x greater-than-or-equal-to 5.

Then the correct option is C.

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Answer:

a) B=65, c=20, a=18

b) A=55, B=35, c=12.5

c) b=4.95, a=7.2, B=55

Step-by-step explanation:

The sine of an angle is the ratio of the opposite side to the hypotenuse.

The cosine of an angle is the ratio of the adjacent side to the hypotenuse.

For a:

sin25=8/c

From the table sin25=.40

So .40=8/c and so c=8/.4=20

Similarly, cosine can be used to find a.

For the angles, the acute angles of a right triangle will add up to 90.

Answer:

$6.84

Step-by-step explanation:

This is quite a simple question, simply add the new deposited amount into the original balance to get your answer.

A ray from the vertex of the angle through the point where the two arcs intersect. This ray is a copy of the original angle.

The steps for constructing a copy of an angle:

Step 1: Draw the angle.

Step 2: Place the center of the protractor on the vertex of the angle.

Step 3: Line up the baseline of the protractor with one of the angle's rays.

Step 4: Read the degree measure where the other ray crosses the protractor.

Step 5: Draw a ray from the vertex of the angle to the right.

Step 6: Use a ruler to mark the same distance on the ray that was just drawn.

Step 7: Draw a ray from the vertex through the point just marked on the ray.

This is the copy of the angle's second ray.

Step 8: Use a compass to draw an arc centered at the vertex of the original angle that passes through one of the angle's rays.

Step 9: Without adjusting the compass, draw another arc that intersects the previous arc at a point.

Step 10: Draw a ray from the vertex through the point where the two arcs intersect.

This is the copy of the original angle.

Using a compass, draw an arc centered on the vertex of the original angle passing through one of the angle rays. Place the tip of the

compass on the vertex of the original angle and draw an arc that intersects one of the angle rays.

Draws another arc that intersects the previous arc at a point without adjusting the compass.

Draw a second arc that intersects the first arc at another point, keeping the compass latitude.

Using a ruler or ruler, draw a ray from the vertex of the angle through the point where the two arcs intersect. This ray is a copy of the original angle.

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Answer:

D. Multiply the second equation by 3. The solution is x = 12, y = 10.

Step-by-step explanation:

First, look at the y variable of the first equation. It is 3y.

To solve by elimination, the variables have to add together to 0.

So, -3y needs to be added to -3y to eliminate the y variable.

The second equation has the y variable of -y, so it has to be multiplied by 3.

So, answer choice D is the correct answer.

Answer:

6n=48

Step-by-step explanation:

product means multiplication

6×n=48

6n=48

An equation that shows this relationship is: A. 6n = 48.

In order to solve this word problem, we would assign a variable to the unknown number, and then translate the word problem into an algebraic equation as follows:

Let the variable n represent the unknown number.

Based on the statement "The product of 6 and a number is 48," we can logically deduce the following algebraic equation;

6 × n = 48

6n = 48

n = 48/6

n = 8.

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Answer:

20 Inches is the actual height

Step-by-step explanation:

Okay so it means 1 inch = 5 inches. There are 4 inches. 4 x 5 = 20.

2(x + 7) + 3(x + 1) =

= 2x + 14 + 3x + 3 = 5x + 17

The amount of money needed to mortgage is $1,11,600.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

You bought a house priced at $139,500.

Assuming you put 20% down payment,

= 139,500 x 0.2

= $27900

Now, 139500 - 27900 = $1,11,600

Hence, the mortgage amount is $1,11,600.

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Answer:

No image I cannot tell you

Step-by-step explanation:

6.

the y-intercept is 4, which means the line crosses the y-axis at the point (0,4).

[just put a dot on the number four that's right under the letter y]

the slope of the line is positive, so it goes up from left to right.

Start at the y-intercept. Move up 2 and then move right 1.

You are now at the point (1,6).

[go to 1 for the horizontal line, then go up 6 spaces.] [connect two points]

7. y= -1/2-3

8. y=3x+4

The Multiplicative inverse of 1/16 ÷ 1/81 +-1/8​ is 16/79

1/16 ÷ 1/81   +    -1/8

1/16 ÷ 1/81   = 81/16

+    -1/8  = - 1/8

81/16  - 1/8

Then,

= 81/16  - 2/16

= (81 - 2)/16

= 79/16

Multiplicative inverse = 16/79

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Answer:

What percent of the large square is shaded? The grid is divided into 10 rectangles. For percents, you need to look at 100 equal-sized parts of the whole

Step-by-step explanation:

With a video tutorial and in-depth explanations, learn how to properly measure baking ingredients and why measuring is so crucial in baking.

12 grams/cake × 3 cakes = 36 grams.

That is 500 ml of milk per cake times 3 cakes, giving 1500 ml of milk for three cakes.

two cups per cake multiplied by three cakes is equal to 6 cups.

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The thing that t best determines whether a borrowers interest rate on an adjustable rate loan goes up or down is: C. A market's condition.

Market conditions  help to show how the state of an economy or how good or bad the economy of a nation is.

Market condition help to  show the state of affairs of a nation economy as well as the  overall situation that a market is facing at a particular period of time.

Therefore we can conclude that market condition can tend to show if a  borrowers interest rate on an adjustable rate loan goes up or down.

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The complete question is:

What best determines whether a borrower's investment on an adjustable rate loan goes up or down?

a fixed interest rate

a bank's finances

a market's condition

a person's finances

answer

x=14

Step-by-step explanation:

4.5(8-x)+36=102-2.5(3x+24)

36-4.5x+36=102-7.5x-60

-4.5x=42-7.5x

7.5x-4.5x=42

3x=42

x=42/3

x=14

The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.

The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.

Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).

The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.

The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.

The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).

Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

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Answer:

Its F $1.75

Step-by-step explanation:

Because you add all the numbers up then once you get your answer you divided it by how many numbers there are like you'll get 8.75 divide it by 5 and you have your answer

Answer:

The Answer is H $1.14

Step-by-step explanation:

First You have to add both mean in the second column:

$1.29+0.99=$2.28

Then you have to divide the price that u given in the second column that u get after u add both the price :

$2.29/2=1.14

∴The mean price of apples per pound is $1.14

Answer:

Step-by-step explanation:

x+9

Let x, be 4

4+9=13

given condition,

x+9<4x

4+9<4(4)

13<16

The answer is:

Work/explanation:

Our inequality is:

\(\sf{x+9 < 4x}\)

Flip it

\(\sf{4x > x+9}\)

Solve

\(\sf{4x-x > 9}\)

Combine like terms

\(\sf{3x > 9}\)

Divide each side by 3

\(\sf{x > 3}\)

Answer:

(6, -5)

Explanation:

Answer:

x+3+ 8/2x^2-1

Step-by-step explanation:

Hope it helps!

To answer this question, we need to compare the ratios of miles traveled to gallons of gas used for car A and car B when they both use 1 gallon of gas.

For car A, we can see from the graph that 50 miles are traveled for every 2 gallons of gas used, or in other words, 25 miles are traveled for every 1 gallon of gas used. Therefore, car A can travel 25 times the distance for 1 gallon of gas.

For car B, we can see from the table that 40 miles are traveled for every 2 gallons of gas used, or in other words, 20 miles are traveled for every 1 gallon of gas used. Therefore, car B can travel 20 times the distance for 1 gallon of gas.

To compare the two ratios, we can divide the ratio of miles traveled to gallons of gas used for car A by the ratio for car B:

25/20 = 1.25

Therefore, car A can travel 1.25 times the distance car B can travel when both cars use 1 gallon of gas.

Answer:

A=$2100

B=$1400

Step-by-step explanation:

3500*1.06=3710

a+b=3500

1.05a+1.075b=3710

1.05a+1.05b=3675

1.05a+1.075b=3710

Subtract 1.05a+1.05b=3675 from 1.05a+1.075b=3710

0.025b=35

b=1400

a=3500-1400=2100

Double check: (2100*1.05)+(1400*1.075)=3710

3500*1.06=3710

The amount invested in the account that pays a 5% interest is $2100 and the amount invested in the account that pays a 7.5% interest is $1400.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

0.05a + 0.075b = (0.06 x $3500)

0.05a + 0.075b = $210 ----- equation 1

a + b = $3,500   -------- equation 2

Where:

a is the amount invested in the account that paid a 5% interest.

b is the amount invested in the account that paid a 7.5% interest.

The amount invested in the account that pays a 7.5% interest.

In order to determine this value, multiply equation 2 by 0.05

0.05a + 0.05b = 175  ------- equation 3

0.025b = 35

b = $1400

The amount invested in the account that pays a 5% interest.

a + $1400 = $3500

a = $3500 - 1400

a = $2100

Therefore, The amount invested in the account that pays a 5% interest is $2100 and the amount invested in the account that pays a 7.5% interest is $1400.

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Answer:

15*8*10-7*8*11=584

Step-by-step explanation:

The value of y in the triangle is 2√10 units.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

The value of y can be found using the similar triangle ratios as follows:

Hence,

8 / y = y / 5

cross multiply

y² = 8 × 5

y²= 40

square root both sides of the equation

y = √40

Therefore,

y = 2√10 units

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Answer:

The equation of the tangent line to the curve at (-1, 4) is y - 4 =

= (-2e^4/9)(x + 1).

Step-by-step explanation:

First, we need to find dy/dt and dx/dt using the given parametric equations:

dx/dt = -2e^(-2t)

dy/dt = 8e^(8t) - 6

Then, we can find dy/dx by dividing dy/dt by dx/dt:

dy/dx = (dy/dt)/(dx/dt)

dy/dx = [8e^(8t) - 6] / [-2e^(-2t)]

dy/dx = -3e^(10t) + 4e^(2t)

To find d2y/dx2, we need to take the derivative of dy/dx with respect to t and divide by dx/dt:

d/dt(dy/dx) = d/dt[-3e^(10t) + 4e^(2t)]

d/dt(dy/dx) = -30e^(10t) + 8e^(2t)

d2y/dx2 = [d/dt(dy/dx)] / dx/dt

d2y/dx2 = (-30e^(10t) + 8e^(2t)) / (-2e^(-2t))

d2y/dx2 = 15e^(12t) - 4e^(4t)

Next, we can find the point on the curve corresponding to t=2:

x = (2^2 - 1)6 = 30

y = 2cos(pi*2) = -2

To find the equation of the tangent line, we need the slope of the tangent, which is given by dy/dt at t=2:

dy/dt = -2pi sin(pi*2) = 0

Therefore, the slope of the tangent is 0, which means the tangent line is a horizontal line passing through the point (30,-2). The equation of the tangent line is y = -2.

Finally, to find the equation of the tangent(s) to the curve at (-1, 4), we need to find the value(s) of t that correspond to this point. We can set x = -1 and solve for t:

t^3 - 4t - 1 = -1

t^3 - 4t = 0

t(t^2 - 4) = 0

t = 0 or t = ±2

Since the point (-1,4) corresponds to t=2, we can find dy/dt and dx/dt at t=2:

dx/dt = 18

dy/dt = -4e^4

The slope of the tangent is dy/dx, which is given by dy/dt divided by dx/dt:

dy/dx = (dy/dt)/(dx/dt)

dy/dx = (-4e^4)/18

dy/dx = -2e^4/9

So the equation of the tangent line is:

y - 4 = (-2e^4/9)(x + 1)

Therefore, the equation of the tangent line to the curve at (-1, 4) is y - 4 = (-2e^4/9)(x + 1).

Answer:

3x+y-10

Step-by-step explanation:

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