Alberts bank account decreased by a total of 193 over a period of 12 days. what was the average daily decrease in his account?

Fi and Se decide that they are going to make money by selling trail mix.

1. Key Information;

Sunflower seeds cost $4 per pound

Raisins cost $1.5 per pound

They have only $34 left to spend.

2. Variables are ;

s = no. of pounds of sunflower seeds

r = no. of pounds of raisin seeds

3. The equation ( inequality ) is;

The profit margins (return on sales) for each division are approximately :Division A = 10.85%,Division B = 9.11% and The calculations for the year would be:Net Income = $85,428,Return on Assets = 18.9%.

To compute the profit margins (return on sales) for each division, we divide the profit by the sales and multiply by 100 to express the result as a percentage.

For Division A:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($230,000 / $2,120,000) * 100

Profit Margin ≈ 10.85%

For Division B:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($34,700 / $381,000) * 100

Profit Margin ≈ 9.11%

To calculate the net income and return on assets for Polly Esther Dress Shops Inc., we use the given information.

Net Income = Profit Margin * Sales

Net Income = 7% * $1,220,400

Net Income = $85,428

Return on Assets = Profit Margin * Asset Turnover

Return on Assets = 7% * 2.7

Return on Assets = 18.9%

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The required probability for the three dices to be rolled for the given condition is equal to ,

probability 0.579 when X=0,

probability 0.347 when X =1

probability 0.069 for X = 2

probability 0.005 when X = 3.

The random variable X represents the number of times the number '2' is rolled when three dices are rolled.

X represents the values from 0 (when no '2' is rolled) to 3 (when all three dices show '2'.

Probabilities for each case, use the binomial probability formula, we, have,

P(X = a) =ⁿCₐ × pᵃ × (1-p)ⁿ⁻ᵃ

n = Number of trials (in this case, n = 3)

a = Number of successes (here, 'a' ranges from 0 to 3).

p = Probability of success (rolling a '2' on a single die)

p = 1/6

Required probabilities for each possibility is,

P(X = 0) = (³C₀) × (1/6)^0 × (5/6)^3

             = 125/216

             ≈ 0.579

P(X = 1) = ((³C₁) × (1/6)¹ × (5/6)²  

            = 75/216

            ≈ 0.347

P(X = 2) = ³C₂× (1/6)²× (5/6)¹  

             = 15/216

             ≈ 0.069

P(X = 3) = (³C₃) × (1/6)³× (5/6)⁰

             = 1/216

             = 0.004629

             ≈ 0.005

Therefore, the random variable X for the number of times 2 is rolled for three dices are rolled represents probability distribution,

X = 0 with probability 0.579

X = 1 with probability 0.347

X = 2 with probability 0.069

X = 3 with probability 0.005

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Step-by-step explanation:

Let V be the volume of the cone.

The student says that, the volume of a cone with a 4-inch diameter is two times the volume of a cone with the same height and a 2-inch radius.

If diameter is 4 inch, radius = 2 inch

Volume of the cone,

\(V=\dfrac{\pi }{3}\times 2^2\times h\\\\V=\dfrac{4\pi h}{3}\) .......(1)

If radius, r = 2 inch

New volume,

\(V=\dfrac{\pi }{3}\times 2^2\times h\\\\V=\dfrac{4\pi h}{3}\) ....(2)

We can see that the volume in both case is same. Hence, the student is correct.

Answer:Pencil, pen, ruler, protractor, pair of compasses and eraser ... Work out the volume of prism B. me x3' (X27). 15X27 = 405. 405 ..cm3 ... 3. Below are two similar parallelograms. X1.5. 4cm / A /. 6cm. B. The area of ... bon Area: 120 cm? 3 ... Two clay models of the Statue of Liberty are mathematically similar.

Step-by-step explanation:

Sorry If It Dont Help But It Helped Meh...Come Back To Meh If Its Wrong‍♀️....

Answer:

y = -1, x =4

Step-by-step explanation:

3x-`13=-2x+7

x = 4

y=3(4)-13

y = -1

The general solution to the given nonhomogeneous system.

x(t) = (c₁\(e^{t\) - \(e^{-9t\) + C₁)(8  1) + (c₂\(e^{8t\) + 8\(e^{-9t\) + C₂)(1  1  1)

To solve the given nonhomogeneous system using the variation of parameters method, we will first find the general solution to the associated homogeneous system, and then we will find a particular solution to the nonhomogeneous system. Finally, the general solution to the nonhomogeneous system will be obtained by combining the solutions.

The given system is:

x' = (0 8 -1 9) x + (8\(e^{-9t\))

Step 1: Find the general solution to the associated homogeneous system.

To do this, we need to solve the equation:

x' = (0 8 -1 9) x

The characteristic equation of the coefficient matrix is:

|λ - 0 8 |

|-1 λ - 9| = λ^2 - 9λ - 8 = (λ - 1)(λ - 8)

So the eigenvalues are λ₁ = 1 and λ₂ = 8.

For λ₁ = 1, we solve (A - λ₁I)v = 0:

(0 - 1 8) (v₁) = (0)

(-1 9 - 1) (v₂) = (0)

This leads to the equations:

-v₁ + 8v₂ = 0

-v₁ + 9v₂ = 0

Solving this system of equations, we find v₁ = 8 and v₂ = 1.

Therefore, the first eigenvector corresponding to λ₁ = 1 is v₁ = (8 1).

For λ₂ = 8, we solve (A - λ₂I)v = 0:

(-8 - 1 8) (v₁) = (0)

(-1 1 - 1) (v₂) = (0)

This leads to the equations:

-8v₁ - v₂ + 8v₃ = 0

-v₁ + v₂ - v₃ = 0

Solving this system of equations, we find v₁ = 1, v₂ = 1, and v₃ = 1.

Therefore, the second eigenvector corresponding to λ₂ = 8 is v₂ = (1  1  1).

The general solution to the associated homogeneous system is then given by:

x_h(t) = c₁\(e^{t\)(8 1) + c₂\(e^{8t\)(1 1 1)

Step 2: Find a particular solution to the nonhomogeneous system.

To find a particular solution, we assume a solution of the form:

x_p(t) = u₁(t)(8 1) + u₂(t)(1 1 1)

Now, let's substitute this solution form into the original system:

x' = (0 8 -1 9) x + (8\(e^{-9t\))

Differentiating the assumed solution form:

x' = u₁'(t)(8 1) + u₂'(t)(1 1 1)

Substituting these derivatives into the system:

u₁'(t)(8 1) + u₂'(t)(1 1 1) = (0 8 -1 9)(u₁(t)(8 1) + u₂(t)(1 1 1)) + (8\(e^{-9t\))

This equation can be written as two separate equations for the components of the vectors:

8u₁'(t) + u₂'(t) = 0

8u₁'(t) + 9u₂'(t) = 8\(e^{-9t\)

Solving these equations, we find u₁'(t) = \(e^{-9t\) and u₂'(t) = -8\(e^{-9t\).

Integrating both sides, we obtain:

u₁(t) = -\(e^{-9t\) + C₁

u₂(t) = 8\(e^{-9t\) + C₂

where C₁ and C₂ are constants of integration.

Therefore, the particular solution to the nonhomogeneous system is:

x_p(t) = (-\(e^{-9t\) + C₁)(8 1) + (8\(e^{-9t\) + C₂)(1 1 1)

Step 3: Combine the solutions.

The general solution to the nonhomogeneous system is given by:

x(t) = x_h(t) + x_p(t)

= c₁\(e^{t\)(8 1) + c₂\(e^{8t\)(1 1 1) + (-\(e^{-9t\) + C₁)(8 1) + (8\(e^{-9t\) + C₂)(1 1 1)

Simplifying and grouping terms, we get:

x(t) = (c₁\(e^{t\) - \(e^{-9t\) + C₁)(8 1) + (c₂\(e^{8t\) + 8\(e^{-9t\) + C₂)(1 1 1)

This is the general solution to the given nonhomogeneous system.

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In the last 10 presidential elections, the Democratic candidate has won six times in Michigan and four times in Ohio.

In the context of presidential elections, Michigan and Ohio are two key swing states that often play a crucial role in determining the outcome of the overall election. The statement indicates that in the last 10 presidential elections, the Democratic candidate emerged victorious six times in Michigan and four times in Ohio.

This information suggests that Michigan has been a more favorable state for the Democratic candidate compared to Ohio in recent election cycles. The Democratic candidate's success in Michigan for six out of the last 10 elections implies a higher level of support or electoral advantage in that state.

On the other hand, the Democratic candidate won four out of the last 10 elections in Ohio, indicating a relatively more balanced or competitive political landscape in that state. While the Democratic candidate has had some success in Ohio, the Republican candidate likely secured victories in the remaining six elections.

The varying electoral outcomes in these swing states highlight the importance of analyzing the political dynamics, demographics, and voting patterns within each state to understand the factors that contribute to election results. These results can provide insights into the electoral strategies, voter preferences, and overall political landscape of Michigan and Ohio.

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The equation can be written as 6 + (-6y) = -6y - 1 + (7).

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

The given is an equation with missing parts.

The left hand side of the equation does not contain a term with variable, but the right hand side contains it.

Adding that term in the left hand side, we get, 6 + (-6y) in the left hand side.

So the right hand side must be equal.

So the expression in the right hand side is -6y - 1 + (7).

Hence the expressions are 6 + (-6y) on the left hand side and  -6y - 1 + (7) on the right hand side.

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Expression is a combination of numbers, operators and variables. the value of the expression −51 − 17 − (−37) is -31.

Expression is a combination of numbers, operators and variables.

The given expression is minus fifty one minus seventeen minus of minus thirty seven.

−51 − 17 − (−37)

We have to use BODMAS rule to solve this expression

-51-17+37

Now add  minus fifty one and minus seventeen

We get minus 68

-68+37

Now subtract 37 from 68 and put minus sign in the answer.

We get answer as minus thirty one.

-31

Hence option C is correct. the value of the expression −51 − 17 − (−37) is -31.

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The correct option (a) 2000, is the miles are driven on each tire.

For the stated question-

Miles are driven on each tire = Total distance/number of tires.

Miles are driven on each tire = 10000/5

Miles are driven on each tire = 2000

Thus, the number of miles are driven on each tire is 2000 miles.

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Answer: 68

Step-by-step explanation: do 75+37 which equals 112 then subtract 180 by 112 which equals 68

hope this helps

Answer:

A

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , then

x + 37° + 75° = 180° , that is

x + 112° = 180° ( subtract 112° from both sides )

x = 68°

To investigate whether there is convincing evidence, at a 5 percent level of significance, that a longer hand length is associated with a decrease in the time to complete the 100-meter freestyle, the researcher should use a linear regression t-test.

1. The researcher collects data on hand length and 100-meter freestyle completion time for twenty randomly selected swimmers.
2. Calculate the correlation coefficient (r) to measure the strength and direction of the relationship between hand length and freestyle completion time.
3. Perform a linear regression analysis to obtain the slope (b) and the y-intercept (a) of the best-fit line.
4. Conduct a linear regression t-test to determine if the slope (b) is significantly different from zero at a 5 percent level of significance.
5. If the t-test results in a p-value less than 0.05 (5 percent level of significance), there is convincing evidence that a longer hand length is associated with a decrease in the time to complete the 100-meter freestyle.

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Answer:

(24, 41 )

Step-by-step explanation:

y = 3x - 31 → (1)

y = - 2x + 89 → (2)

substitute y = 3x - 31 into (2)

3x - 31 = - 2x + 89 ( add 2x to both sides )

5x - 31 = 89 ( add 31 to both sides )

5x = 120 ( divide both sides by 5 )

x = 24

substitute x = 24 into either of the 2 equations and solve for y

substituting into (1)

y = 3(24) - 31 = 72 - 31 = 41

solution is (24, 41 )

Answer:

(24,41)

Step-by-step explanation:

Set the 2 equations equal to each other.

3x - 31 = -2x + 89  Add 2x to both sides of the equal sign

3x + 2x -31 = -2x + 2x + 89

5x -31 = 89  Add 31 to both sides of the equal sign

5x -31 + 31 = 89 + 31

5x = 120  Divide both sides by 5

\(\frac{5x}{5}\) = \(\frac{120}{5}\)

x = 24  This is your x value.

Substitute 24 for x into either of the two original equations to solve for y.

y = 3x -31

y = 3(24) - 31

y = 72 - 31

y = 41  This is your y value.

Check:

y = 3x -31

41 = 3(24) - 31

41 = 72 -31

41 = 41 Checks

y = -2x + 89

41 = -2(24) + 89

41 = -48 + 89

41 = 41 Checks.

The first equation, x_1 + 4x_2 - 2x_3 = 0, represents a plane in three-dimensional space. Its solution set consists of all points (x_1, x_2, x_3) that satisfy the equation. Since the equation equals zero, the solution set corresponds to all points lying on this plane.

The second equation, x_1 + 4x_2 - 2x_3 = -5, is similar to the first equation but with a constant term of -5 on the right-hand side. This shifts the entire plane downward by 5 units along the z-axis. Consequently, the solution set represents all points on the shifted plane.

To describe the solution set of the second equation, x = [x_1 x_2 x_3], in parametric vector form, we can express one variable in terms of the other variables. By rearranging the equation, we have x_1 = -5 - 4x_2 + 2x_3. Letting x_2 = t and x_3 = s, we can write the solution set as x = [-5 - 4t + 2s, t, s]. This parametric vector form allows us to express the solution set using two free variables, t and s, with x_1 being dependent on those variables.

The solution set of x_1 + 4x_2 - 2x_3 = 0 represents a plane in three-dimensional space, while the solution set of x_1 + 4x_2 - 2x_3 = -5 represents the same plane shifted downward by 5 units along the z-axis. The solution set of the second equation can be described in parametric vector form as x = [-5 - 4t + 2s, t, s], where t and s are free variables.

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The measure of the exterior angle is a = 54

Where is the exterior angle?

the exterior angle 2a = a + 10 + 44

                               2a  = a + 54

                                 2a - a = 54

                                      a = 54

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Based on the given task content; the simplification of 7x - x to its simplest form is 6x.

Simplify 7x - x

7x and -x

So,

7x - x

= 6x

Therefore, 6x is the result of the simplification of 7x - x to its simplest form.

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\(\huge\boxed{Hello\;there!}\)

\(\huge\boxed{\sf{Solution:}}\)

\(\bigstar\)10m=-5(m-7)

\(\bigstar\)10m=-5m+35

\(\bigstar\) -5m+10m=35

\(\bigstar\)15m=35

\(\bigstar\) m=\(\displaystyle\frac{35}{15}\)

\(\bigstar\) m=\(\displaystyle\frac{7}{3}\)

\(\huge\bold{I\;really\;hope\;you\;found\;my\;answer\;helpful!}\)

\(\sf{Answered\;by:\\}\\\rm{StillEnjoyingLife\)

Oregon has 5 golf course per 100,000 people.

The butterfly method for adding or subtracting fractions is:

Write the fractions side by side as you normally would, but this time draw two wings along the diagonals formed by the numerator of one fraction and the denominator of the other fraction.

Multiply the numbers in each wing as shown by the wings, which resemble a multiplicand.

To give it a body, join the lower halves of the wings together to form a loop that resembles a body. Then, multiply the two denominators it joins to place the result within the body.

Adjust the numbers in the antennas in accordance with how fractions are being altered, then add or subtract the resulting value from the body number.

If required, simplify or minimize the outcome.

Given that the golf course for 4301089 people is 190.

4201089 = 190

100000 = x

Using the butterfly method for multiplication we have:

x = 190 * 100000 / 4201089

x = 5

Hence, Oregon has 5 golf course per 100,000 people.

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The equation that would help the mathematician model the surface area of a square piece of paper as it was repeatedly cut is \(y = 36 \times \frac{1}{2}^x\)

Option D is the correct answer.

We have,

In this equation, the variable x represents the number of times the square is cut in half, and y represents the surface area of the square.

As x increases, the exponent of 1/2 decreases, causing the value of y to decrease.

This exponential decay accurately represents the idea that the surface area becomes less and less but never reaches zero units²

Thus,

The equation that would help the mathematician model the surface area of a square piece of paper as it was repeatedly cut is \(y = 36 \times \frac{1}{2}^x\).

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The correct equation that would help model the surface area of a square piece of paper as it is repeatedly cut in half is:  \(\(y=36(\frac{1}{2})^x\)\)

As the square is cut in half, the side length of the square is divided by 2, resulting in the area being divided by \(\(2^2 = 4\)\).

Therefore, the equation \(y=36(\frac{1}{2})^x\)\)accurately represents the decreasing surface area of the square as it is repeatedly cut in half.

and, \(\(y=x^2+4x-16\)\)is a quadratic equation that does not represent the decreasing nature of the surface area.

and, \(\(y=-25x^2\)\) is a quadratic equation with a negative coefficient.

and, \(\(y=9(2)^x\)\)represents exponential growth rather than the decreasing nature of the surface area when the square is cut in half.

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By factorials, the values of variables x and y are 2 and 1560, respectively.

In this problem we need to find the values of the variables x and y derived from the multiplication of 38 fractions, whose definition is done by the following expression involving factorials:

n! / [(n + 2)! / 2!] = x / y

2 · n! / (n + 2)! = x / y

2 / [(n + 1) · (n + 2)] = x / y

If we know that n = 38, then the values of x and y are, respectively:

x = 2

y = 39 · 40

y = 1560

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nswer

First image

Angle ABC covers around the inside and outside of the circle.

Second image

Angle x l

hird image

Angle DBE l

ngle of arc DE l

ngle of arc AC l

ourth angle

ll the angles at U lie inside the circle.

ngle 78° l

ngle 114° l

ope this Helps!!!

So the equation of the red graph is already given to us: \(f(x) = x^2\). I assume you meant the blue graph?

We can use the vertex form: \(y = a(x - h)^2+ k\), where \((h,k)\) is the vertex. (We can ignore \(a\) because \(a\) is 1 for this graph.) Remember that the vertex is the maximum or minimum of a parabola and the point that the line of symmetry passes through. For f(x) the vertex is (0,0).

The vertex for \(g(x)\) is at \((-4, -2)\) on the coordinate plane. (4 left, 2 down)

Plug into the vertex form:

\(y = (x - (-4))^2 -2\)

The double negative becomes a positive, and then you're done:

\(y = (x + 4)^2-2\)

The flour-to-water ratio in Jada's paste recipe is 4:1. (or 4 parts flour to 1 ratio part water). This means that 1 pint (or 2 cups) of water was added for every 4 cups of flour used to form the paste.

In mathematics, ratios demonstrate how frequently one number is contained in another. For example, if there are 8 oranges and 6 lemons in a fruit dish, the ratio of oranges to lemons is 8 to 6. In a similar vein, the orange-to-whole-fruit ratio is 8, whereas the lemon-to-orange ratio is 6:8. A ratio is an ordered pair of numbers a and b represented as a / b, where b is not zero. A ratio is an equation that equates two ratios. For example, if there is one male and three girls (for every boy she has three daughters), 3/4 are girls and 1/4 are boys.

The flour-to-water ratio in Jada's paste recipe is 4:1. (or 4 parts flour to 1 part water). This means that 1 pint (or 2 cups) of water was added for every 4 cups of flour used to form the paste.

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Above triangle is an equilateral triangle.

This means that

\(y + 3 = 2y - 5\)

Lets us solve for y.

\(y - 2y = - 5 - 3 \\ - y = - 8 \\ \frac{ - y}{ - 1} = \frac{ - 8}{ - 1} \\ y = 8\)

All three angles are equal in an equilateral triangle.

this means that if given that one angle is 10x° then all the other 2 angles are equal to 10x°

\(10x + 10 x+ 10x = 180 \\\)

Sum of all interior angles of a triangle is 180°

Let us solve for x

\(30x = 180 \\ \frac{30x}{30} = \frac{180}{30} \\ x = 6\)

x=6°

GOODLUCK

According to the question we have , the opportunity cost for Costa Rica to produce 1 ton of coffee is 1 ton of coconuts.

To determine the opportunity cost for Costa Rica to produce 1 ton of coffee, we need to look at the production possibilities of both goods in Jamaica and Costa Rica. From the table, we can see that Jamaica can produce 1 ton of coconuts or 1 ton of coffee, while Costa Rica can produce 1 ton of coconuts or 2 tons of coffee.

Therefore, the opportunity cost for Costa Rica to produce 1 ton of coffee is the amount of coconuts that Costa Rica must give up to produce 1 ton of coffee. In this case, Costa Rica could produce 2 tons of coffee or 1 ton of coconuts. Therefore, the opportunity cost for Costa Rica to produce 1 ton of coffee is 1 ton of coconuts.

In other words, if Costa Rica decides to produce 1 ton of coffee, it will have to give up the production of 1 ton of coconuts. This is the opportunity cost of producing coffee instead of coconuts.

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Therefore, the compound interest of the annuity due of BD 400 paid each 4 months for 6.2 years at a nominal rate of 3% per annum is BD 40,652.17.

Compound interest of an annuity due can be calculated using the formula:A = R * [(1 + i)ⁿ - 1] / i * (1 + i)

whereA = future value of the annuity dueR = regular paymenti = interest raten = number of payments First, we need to calculate the effective rate of interest per period since the nominal rate is given per annum. The effective rate of interest per period is calculated as

:(1 + i/n)^n - 1 = 3/1003/100 = (1 + i/4)^4 - 1

(1 + i/4)^4 = 1.0075i/4 = (1.0075)^(1/4) - 1i = 0.0303So,

the effective rate of interest per 4 months is 3.03%.Next, we can substitute the given values in the formula:

A = BD 400 * [(1 + 0.0303)^(6.2 * 3) - 1] / 0.0303 * (1 + 0.0303)A = BD 400 * [4.227 - 1] / 0.0303 * 1.0303A = BD 400 * 101.63A = BD 40,652.17

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The coordinates of the center are (-1, 8) and the length of the radius is 4 units.

The equation of a circle can be written in the form:

\((x - h)^2 + (y - k)^2 = r^2\)

Where (h, k) is the center of the circle, and r is the radius.

Starting with the given equation:

\(x^2 + y^2 + 2x - 16y + 49 = 0\)

Completing the square for x and y, we get:

\((x + 1)^2 - 1 + (y - 8)^2 - 64 + 49 = 0\)

Simplifying, we get:

\((x + 1)^2 + (y - 8)^2 = 16\)

So the center of the circle is (-1, 8) and the radius is 4.

Now we can see that the center of the circle is (-1, 8) and the radius is 4. Therefore, the coordinates of the center are (-1, 8) and the length of the radius is 4 units.

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Answer:
5

Step-by-step explanation:

35.95 - 19.50 = 16.45 ÷ 3.29 = 5

Answer:

BEC°

Step-by-step explanation:

complementary means "to add up to 90°"

90° - 34° = 56°

the Z confused me for a bit, then figured out you tried to type in the angle sign.