How many terms are in the algebraic expression? 2x + 5 + 2y - 3

Based on the simple interest rate of the two banks, Evans should bank with Joyner Bank.

The simple interest rates can be found using the formula:

where;

a) For Ross Bank: $700 principal yields interest of $30 after 2 years

b) For Joyner Bank: $1000 principal yields interest of $46 after 2 years

Solving for the interest rate for Ross Bank:

Rate = 30 * 100 /(700 * 2)

Rate = 2.14%

Solving for the interest rate for Joyner Bank:

Rate = 46 * 100 /(1000 * 2)

Rate = 2.3%

Therefore, Evans should bank with Joyner Bank

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The expected number of rolls until all faces have appeared in some order in six consecutive rolls is 1 / [1 - (5/6)^6].

To find the probability that all faces have appeared in some order in six consecutive rolls of a 6-sided die, we can use the principle of inclusion-exclusion.

Let's calculate the probability of the complement event first, which is the probability that at least one face is missing from the sequence in six consecutive rolls.

In the first roll, there are 6 possibilities for the face that appears. In the second roll, there are 5 possibilities remaining, and so on. Therefore, the probability of missing a face in one roll is (5/6).

Since we want to find the probability of missing a face in six consecutive rolls, we multiply the probabilities together: (5/6)^6.

Now, to find the probability of all faces appearing in some order in six consecutive rolls, we can subtract the probability of the complement event from 1.

Probability = 1 - (5/6)^6.

For the expected number of rolls until such a sequence appears, we can use the concept of geometric distribution. The expected number of rolls for a geometric distribution is equal to 1 divided by the probability of success.

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Answer:

yea that's about right. like the square root of 100 would be 10 and the square root of 90 would be about 9.5 dose that make since?

Yes, it is likely that their square roots are also 10 apart because the square root of 100 is 10.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.

It is given that:

If two numbers are 10 apart.

As we know,

The square root of 100 is 10

√100 = 10

Let us assume the number 90 which is near the 100

The square root of the number 90 is 9.48 which is near or after rounding:

√90 = 9.5

Thus, yes it is likely that their square roots are also 10 apart because the square root of 100 is 10.

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The money invested in stock X is $8,800.

Given,

Total investment in stock portfolio=$10000

Expected return from stock X=13%=0.13

Expected return from stock Y=8%=0.08

Expected return from portfolio=12.4%=0.124

The portfolio return is calculated by taking the weighted average of individual stock returns.

Let x represent the portfolio weightage of stock X.

1-x is the portfolio weightage of stock Y.

money invested in stock X be

0.124=0.13x+0.08(1-x)

0.124=0.13x+0.08-0.08x

0.124-0.08=0.05x

0.044=0.05x

x=0.88

money invested in stock X=0.88*10000=$8800

Thus, the money invested in stock X is $8,800.

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Answer:

the ans is 63°

Step-by-step explanation:

94°+24°+x(suppose)=180°(being a triangle)

x=63°

Answer:

its 63

Step-by-step explanation:

117 would be above 90 degreesand clearly its smaller than a 90 degree angle, meaning its 63 or 67 but 94+23=117 and (a full angle which is 180) 180-117 which gives u 63

The common ratio of the sequence is 0.4 .

What is geometric sequence ratio ?

  Each term in a geometric sequence is found by multiplying or dividing the previous term by the same amount, this is called the common ratio. To find the common ratio, start by calculating the difference between each pair of numbers, moving from one term to the next.

Here the given sequence is ,

=> \(\frac{35}{2},7 , \frac{14}{5},\frac{28}{25}\)

Here the first term \(a_1\) = \(\frac{35}{2}\) and \(a_2=7\)

Now the common ratio is r = \(\frac{a_2}{a_1}\)

=> r = \(\frac{7}{\frac{35}{2} }\)

=> r = \(\frac{7*2}{35}\)

=> r = \(\frac{2}{5}\)

=> r = 0.4

Therefore the common ratio is 0.4 .

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Answer:

-12

Step-by-step explanation:

A "price drop" means a negative change.

The sentence is asking for an integer with a negative change of 12, so -12

-Chetan K

The probability that a simple random sample of 45 unemployed individuals will provide is 0.7372

Here, μ = 17.5, σ = 0.8944, x1 = 16.5 and x2 = 18.5.

We need to compute P(16.5<= X <= 18.5).

The corresponding z-value is calculated using Central Limit Theorem.

z = (x - μ)/σ

z1 ⇒ (16.5 - 17.5)/0.8944 = -1.12

z2 ⇒ (18.5 - 17.5)/0.8944 = 1.12

Therefore, we get

P(16.5 <= X <= 18.5) = P((18.5 - 17.5)/0.8944) <= z <= (18.5 - 17.5)/0.8944)

⇒ P(-1.12 <= z <= 1.12) = P(z <= 1.12) - P(z <= -1.12)

⇒ 0.8686 - 0.1314 = 0.7372

The principal limit theorem states that if you have a population with imply μ and trendy deviation σ and take sufficiently huge random samples from the populace with alternative, then the distribution of the pattern method may be about usually distributed.

The relevant limit theorem (CLT) states that the distribution of pattern manner approximates a normal distribution as the pattern size gets larger, regardless of the population's distribution. sample sizes identical to or extra than 30 are often considered enough for the CLT to preserve.

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Answer:

15

Step-by-step explanation:

10*2 =20 20+10=30 45-30=15

The value of the time premium is $100.

According to the statement

we have to find the time premium from the given information.

So, For this purpose, the given information is:

a strike price of $25 when the option price is $2 and the underlying common stock sells for $24

And

Time premium is the amount by which an option price exceeds its intrinsic value. The value of an option beyond its current exercise value representing the option holder's control until expiration, the risk of the underlying asset, and the risk less return.

So, From the given information and the formula

The value of the time premium is $100.

So, The value of the time premium is $100.

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Velocity of jet in still air is 647 miles per hour and velocity of wind is 70 miles per hour.

Given,

Jet's velocity against wind 1731 / 3 = 577  mile per hour

flying with wind it   2151 / 3 = 717 miles per hour.

Let the velocity of jet in still air be x miles per hour and velocity of wind be y miles per hour.

As such its velocity against wind is x−y and with wind is x+y and therefore

x−y=577;

x+y=717

Adding the two

2x = 1294

x = 647

y= 717 − 647

y = 70

Hence velocity of jet in still air is 647 miles per hour and velocity of wind is 70 miles per hour.

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The statement "The point in the spherical coordinate system represents the point (1.5V3) in the cylindrical coordinate system." is false.

In the spherical coordinate system, a point is represented by (ρ, θ, φ), where ρ is the radial distance, θ is the azimuthal angle in the xy-plane, and φ is the polar angle measured from the positive z-axis.

In the cylindrical coordinate system, a point is represented by (ρ, θ, z), where ρ is the radial distance in the xy-plane, θ is the azimuthal angle in the xy-plane, and z is the height along the z-axis.

The given point (1.5√3) does not provide information about the angles θ and φ, which are necessary to convert to spherical coordinates. Therefore, we cannot determine the corresponding spherical coordinates for the point.

Hence, we cannot conclude that the point (1.5√3) in the spherical coordinate system corresponds to any specific point in the cylindrical coordinate system. Thus, the statement is false.

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Answer:

Here we are given with a graph.

we have been asked to find the value of x for which

As we know that , to find the value of x for the given value of f(x), we need to look onto the vertical axis, and mark a dot on the given value now draw a line perpendicular to vertical axis so that it cut the given straight line, and where they intersect draw another line perpendicular to the horizontal axis and you will get the value where it crosses the horizontal axis.

We get x=5, then f(x)=7.

Plsss give me brainliest :)

The inverse of the function f(x) = -2x + 7 is f⁻¹ = -x/2 + 7/2.

Given the function in the question;

f(x) = -2x + 7

To determine the inverse, first replace f(x) with y in the function.

y = -2x + 7

Next, interchange the variables

x = -2y + 7

Then, solve for y

Add 2y to both sides

x + 2y = -2y + 2y + 7

x + 2y = 7

Subtract x from both sides

x - x + 2y = - x + 7

2y = - x + 7

Divide each term by 2

2y/2 = -x/2 + 7/2

y = -x/2 + 7/2

Now, replace y with f⁻¹

f⁻¹ = -x/2 + 7/2

Therefore, the inverse function is -x/2 + 7/2.

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There are 3 feet in a yard. So to find how many feet are in 9 yards, all you have to do is multiply 9x3 which is 27.

Hope this helped :)

Answer:

Step-by-step explanation:

1 yard= 3 feet

9 multiplied by 3 equals 27

9 yards= 27 feet

La velocidad del recorrido es de 1.67 m/s. Para encontrar la velocidad de un recorrido de 125 m realizado en un tiempo de 75 segundos.

Utilizaremos la fórmula de velocidad promedio, que es la distancia dividida por el tiempo.

Para encontrar la velocidad, sigue estos pasos:

Identifica la distancia recorrida, que es de 125 m.

Identifica el tiempo transcurrido, que es de 75 segundos.

Aplica la fórmula de velocidad promedio: velocidad = distancia / tiempo.

Sustituye los valores conocidos en la fórmula: velocidad = 125 m / 75 s.

Realiza la división: velocidad = 1.67 m/s.

Por lo tanto, la velocidad del recorrido es de 1.67 m/s.

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The area of the triangle is 31.54 square units

From the question, we have the following parameters that can be used in our computation:

We have the following values

a = 7 units

c = 11 units

B = 55 degrees

The area of the triangle is calculated using the following area formula

Area = 1/2absin(C)

Substitute the known values in the above equation, so, we have the following representation

Area = 1/2 * 7 * 11 * sin(55 degrees)

Evaluate

Area = 31.54

Hence, the area is 31.54 square units

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Answer: For the first question it is basically half of the polygon.

Step-by-step explanation:

If you count the units, for example one of the side is 4 units. What is half of 4. It is 2

19 Step-by-step explanation:

Answer:

3.45 sqft

Step-by-step explanation:

Calculate all the areas individually, the 3 lateral sides are the same and using the formula for area we have 1/2 base times height. The height is 2 ft and the base is 1 ft so the area of one of the lateral sides is 1 ft.

There are three lateral sides so you multiply 1 by 3 to get 3.

The base is done the same way. It's base is 1 ft and it's height is 0.9ft so the area is 0.45.

3 + 0.45 = 3.45

The surface area is 3.45 sqft.

I could be wrong but the formula and process is the same, calculate the sides individually using the base height formula for area.

Answer:

2.364646461616161616

Answer:

2.364646461616161616

Step-by-step explanation:

Answer:

Slope of the graph is steeper.

The answer is: \(\mathbf{Slope=\frac{1}{3}}\)

Step-by-step explanation:

First we will find slope of the graph.

The formula used to find slope is: \(Slope=\frac{y_2-y_1}{x_2-x_1}\)

We need to find two points from the graph to find the slope.

Let we take point 1 (-2,1) and point 2 (1,2)

We will have: \(x_1=-2, y_1=1, x_2=1, y_2=2\)

Now finding slope of the graph

\(Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{2-1}{1-(-2)} \\Slope=\frac{2-1}{1+2}\\Slope=\frac{1}{3}\)

So, slope of the graph is: \(\mathbf{Slope=\frac{1}{3}}\)

Now, we will find slope of Linear function.

It has x-intercept of 1 and y-intercept of -2

x-intercept means y=0

So, the point will be: (1,0)

y-intercept means x=0

So, the point will be: (0,-2)

We will have: \(x_1=1, y_1=0, x_2=0, y_2=-2\)

Putting values and finding slope

\(Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-2-0}{0-(1)} \\Slope=\frac{-2-0}{0+1}\\Slope=\frac{-2}{1}\\Slope=-2\)

So, the slope of linear function is: \(\mathbf{Slope=-2}\)

Now, we need to find which of the slope is steeper.

The larger the value of slope, more steeper it is:

Now, comparing the slopes:

The slope of the graph is: \(\mathbf{Slope=\frac{1}{3}}\)

The slope of linear function is: \(\mathbf{Slope=-2}\)

We know that, \(\frac{1}{3}>-2\)

So, Slope of the graph is steeper.

The answer is: \(\mathbf{Slope=\frac{1}{3}}\)

We see that each triangle takes up precisely one half of the parallelogram. From this, we see that the area of a triangle is one half the area of a parallelogram, or the area of a parallelogram is two times the area of a triangle

Answer: 20
              72
              112

Step-by-step explanation:

The number 120 symbolizes  the restaurant that has been open for 120 months.

Use Slope-intercept form

The equation of the straight line is provided by:

y =mx+ b

m stands the slope of the line

b stands for the initial value or y-intercept.

As per the information:

The scatter plot displays the association between the average number of nightly consumers and the number of months since a restaurant opened.

The equation describes the linear standard for these details

y = 5x + 120

Where,

y denotes the number of months since a restaurant opened and,

x denotes the average number of nightly customers.

We have to discover the number 120 in the equation indicate in this context.

On analogizing provided equation with  we have;

m=5

b= 120

means y(0) = 120

and

Thus, The number 120 symbolizes  the restaurant that has been open for 120 months.

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Answer:

4x+2

Step-by-step explanation:

2(2x+1)

4x +2

you distribute the the 2

Answer:

A, and B

Step-by-step explanation:

I think they are the correct answer

3% = 0.03

The total airfare cost = $1,248

The total taxi cost = $1,248 * 0.03 = $37.44

The total cost of all expenditures = $1,248 + $37.44 = $1,285.44

If each cousin paid an equal portion, every cousin would need to pay:

$1,285.44 / 4 = $321.36

Answer:

Step-by-step explanation:

set pizzas as x, set french fries as y

5x + 2y = 73.25

and

2x + y = 30

y= -2x + 30

sub y = -2x + 30 into 5x + 2y = 73.25

5x + 2(-2x+30) = 73.25

5x - 4x + 60 = 73.25

x = 13.25

2(13.25) + y = 30

26.5 + y = 30

y = 3.5

6 pizzas and 4 french fries.

6(13.25) + 4(3.5)

= 79.5 + 14

= 93.5

100 < 93.5

Therefore, Lynn has enough budgets to buy 6 pizzas and 4 french fries.

Answer:

Please find attached the bar model that shows the comparison between Abba's previous height to the height by which Abba grew over the past year

Step-by-step explanation:

A bar model, in mathematics, is defined as a graphic depiction of a given quantity represented by numbers presented in a rectangular box or bar form that is then applied in finding numerical relationship solutions

The height by which Abba grew over the past 1 year = 1 ft.

Abba's current height = 5 feet

Therefore, Abba's initial height = 5 feet - 1 foot = 4 feet

Please find attached the bar model that compares Abba's previous height to the height Abba grew over the past year created with Microsoft Visio

Answer:

Yes

Step-by-step explanation:

Yes, the lines represented by the equations y=x-3 and x-y=8 are parallel. To see why, you can write both equations in slope-intercept form, which is y=mx+b, where m is the slope and b is the y-intercept. For the equation y=x-3, the slope is 1 and the y-intercept is -3. For the equation x-y=8, you can solve for y to get y=x-8, so the slope is also 1 and the y-intercept is -8. Since the slopes are equal, the lines are parallel.

Answer:

117.286

Step-by-step explanation:

Did the formula

Answer:

no sloution

Step-by-step explanation: