About how many students were awarded a bachelor’s degree in 2009? a. 916,000 b. 685,000 c. 1,601,000 d. 1,322,000

Answer:

B=28

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

40 x 5 ÷ 100

2 x 5 ÷ 5 = 2

The measure of each angle formed by the three support beams for a bridge is 45 degrees.

The question states that three support beams for a bridge form a pair of complementary angles. Complementary angles are two angles that add up to 90 degrees.

Let's denote the angles as Angle A and Angle B. Since the angles are complementary, we can set up the following equation:

Angle A + Angle B = 90 degrees.

To find the measure of each angle, we need to divide 90 degrees by 2 since there are two angles.

Angle A = Angle B = 90 degrees / 2 = 45 degrees.

Therefore, each angle measures 45 degrees.

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The measure of each angle is 45 degrees.

To find the measure of each angle, we need to understand what complementary angles are. Complementary angles are two angles that add up to 90 degrees.

In this case, we have three support beams for a bridge that form a pair of complementary angles. Since the angles are complementary, their sum is 90 degrees.

Let's assume the measure of one angle is x degrees. The other angle will be (90 - x) degrees, as their sum is 90 degrees.

Since the three support beams form a pair of complementary angles, we can set up the equation:

x + (90 - x) = 90

By simplifying the equation, we have:

90 - x + x = 90

90 = 90

This equation is true for any value of x. Therefore, the measure of each angle can be any value, as long as their sum is 90 degrees.

So, the measure of each angle is not fixed, but it will always add up to 90 degrees.

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Answer:2^9

Step-by-step explanation:

The student multiplied the exponents instead of adding the exponents.

Hope this helps.

Answer:

Step-by-step explanation:

To work out the profit as a percentage of the cost price, you can use the following formula:Profit percentage = (Profit / Cost price) x 100%For example, if you bought an item for $50 and sold it for $70, the profit would be $20. To find the profit as a percentage of the cost price, you would use the formula above:Profit percentage = (20 / 50) x 100% = 40%So in this example, the profit as a percentage of the cost price is 40%.To find the best value of a price, you need to consider both the cost and the demand for the item. If the price is too high, people may not be willing to buy it, but if it's too low, you may not make enough profit. The best value is the price that maximizes your profit while still attracting enough customers to make sales.One way to determine the best value is to experiment with different prices and see how they affect sales and profits. You can start with a price that you think is reasonable and then adjust it up or down based on customer feedback and sales data. You can also research the prices of similar items sold by competitors to get an idea of what the market will bear.Ultimately, the best value will depend on factors such as the cost of production, the demand for the item, and the competitive landscape. It's important to find a price that balances all of these factors to maximize your profits and grow your business.

Answer:

15

Step-by-step explanation:

A graph of the resulting triangles after a reflection over the line y = -1 and over the y-axis is shown in the images below.

In Mathematics, a reflection across the line y = k and y = -1 can be modeled by the following transformation rule:

(x, y)                                    →              (x, 2k - y)

(x, y)                                    →              (x, -2 - y)

Ordered pair A (0, 2)    →        Ordered pair A' (0, -4).

Ordered pair B (-8, 8)    →        Ordered pair B' (-8, -10).

Ordered pair C (0, 8)    →        Ordered pair C' (0, -10).

By applying a reflection over the y-axis to the coordinate of the given triangle ABC, we have the following coordinates for triangle A"B"C":

(x, y)                                              →                 (-x, y).

Ordered pair A (0, 2)    →        Ordered pair A" (0, 2).

Ordered pair B (-8, 8)    →        Ordered pair B" (8, 8).

Ordered pair C (0, 8)    →        Ordered pair C" (0, 8).

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answer is 2.

x is divided by 28 and 7 is divided by x

after that cut 28 by 7

and the anwer will be x square = 4

and the square will go to 4

and four will be root 4

and the answer will be x = 2

Answer:

- 2a - 6

Step-by-step explanation:

9 - 4(- a + 9) + 3(7 - 2a) ← distribute parenthesis

= 9 + 4a - 36 + 21 - 6a ← collect like terms

= - 2a - 6

Answer:

36

Step-by-step explanation:

Answer:

15 degrees

X is an Acute Angle

Step-by-step explanation:

x+ 75 = 90

x =15

(a) (i) Φ((x + iy) + (u + iv)) = Φ((x + u) + (y + v)i) = y + v

Φ(x + iy) + Φ(u + iv) = y + v

Since these two expressions are equal, Φ is a homomorphism.

(ii) Φ(x + iy) = 0

y = 0
(iii)  The image of Φ is the set of all real numbers, we have C/R ~= R.

(b)  The centralizer of S in G is the set {1, r^2}.

This means that the kernel of Φ is the set of all complex numbers with an imaginary part of 0, which is the set of all real numbers. That is, ker Φ = R.

The fundamental theorem of Group Hormomorphisms states that for any group homomorphism Φ: G -> H, the kernel of Φ, ker Φ, is a normal subgroup of G, and the image of Φ, im Φ, is a subgroup of H. Furthermore, G/ker Φ is isomorphic to im Φ.

(a) (i) To show that Φ is a homomorphism, we need to show that it preserves the group operation. That is, for any two elements x + iy and u + iv in C, we need to show that Φ((x + iy) + (u + iv)) = Φ(x + iy) + Φ(u + iv). Using the definition of Φ, we have:

Φ((x + iy) + (u + iv)) = Φ((x + u) + (y + v)i) = y + v

Φ(x + iy) + Φ(u + iv) = y + v

Since these two expressions are equal, Φ is a homomorphism.

(ii) The kernel of Φ, ker Φ, is the set of all elements in C that are mapped to the identity element in R, which is 0. That is, ker Φ = {x + iy : Φ(x + iy) = 0}. Using the definition of Φ, we have:

Φ(x + iy) = 0

y = 0

This means that the kernel of Φ is the set of all complex numbers with an imaginary part of 0, which is the set of all real numbers. That is, ker Φ = R.

(iii) To prove that C/ker Φ is isomorphic to R, we can use the fundamental theorem of Group Hormomorphisms. Since ker Φ = R, we have C/R ~= im Φ. Since the image of Φ is the set of all real numbers, we have C/R ~= R.

(b) The centralizer of a subset S of a group G, denoted by C_G(S), is the set of all elements in G that commute with every element in S. That is, C_G(S) = {g : g in G, gs = sg for all s in S}. For the given groups G = D6 and S = {1,r^2}, we have:

C_G(S) = {g : g in G, g1 = 1g and gr^2 = r^2g}

= {g : g in G, g = g and gr^2 = r^2g}

= {1, r^2}

Thus, the centralizer of S in G is the set {1, r^2}.

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The equation has infinite solution.

The equation is as follows:

2(x + 4) = 2x + 8

Let's open the bracket of the left side of the equation

2x + 8 = 2x + 8

Therefore, the equation has both sides equal to each other.

Hence, the solution of the equation is infinite.

An infinite solution has both sides equal.

Therefore, the equation has infinite solution.

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The formula for calculating the area of a trapezoid is given by;

where a and b are the base and h is the height

From the question,

a = 5

b= 13

h = 3

substitute the vakues into the formula

Answer:

8.2 cm

Step-by-step explanation:

\(sin 20 = \frac{x}{24}\)

\(sin20(24) = x\)

\(8.2084 = x\)

The volume of a cinder cone volcano will be 110872040 cubic feet.​

The volume of a cone is defined as the amount of space occupied by a cone in a three-dimensional plane.

The volume of the cone (V) = 1/3 πhr²

Given,

Radius of cone (r) = 1100/2 = 550 feet

Height of cone (h) = 350 feet

The volume of a cinder cone volcano = 1/3 πhr²

Substitute the values of h and r,

The volume of a cinder cone volcano = 1/3 × 3.14× (550)² × (350)

The volume of a cinder cone volcano = 110872040 cubic feet.​

Thus, the volume of a cinder cone volcano will be 110872040 cubic feet.​

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a) To save enough funds to purchase the car in 2.5 years, monthly deposits of $373.69 are required, while weekly deposits of $86.21 are needed.

b) With annual deposits of $2,000, it will take approximately 5 years to accumulate sufficient funds to purchase the car. For borrowing options, under Option 1, the monthly installment amount is $349.56, which reduces to $291.55 with a $1,800 lump sum contribution from parents. Under Option 2, the monthly installment amount is $237.63 for the first 36 months, doubling thereafter.

a) To calculate the minimum required monthly savings, we use the future value formula with monthly compounding: \($10,000 = PMT * ((1 + 0.06/12)^(2.5*12) - 1) / (0.06/12)\). Solving for PMT, the monthly deposit required is approximately $373.69.

b) Similarly, for weekly deposits, we use the future value formula with weekly compounding: \($10,000 = PMT * ((1 + 0.06/52)^(2.5*52) - 1) / (0.06/52)\). Solving for PMT, the weekly deposit required is approximately $86.21.

c) Using the future value formula for annual deposits: \($10,000 = $2,000 * ((1 + 0.06)^t - 1) / 0.06\). Solving for t, the time required to accumulate $10,000, we find it will take approximately 5 years.

d) For Option 1, the monthly installment amount can be calculated using the present value formula: \($13,000 = X * (1 - (1 + 0.06/12)^-30) / (0.06/12).\) Solving for X, the monthly installment amount is approximately $349.56.

e) With a lump sum contribution of $1,800, the remaining loan amount becomes $13,000 - $1,800 = $11,200. Using the same formula as in (d), the new monthly installment amount is approximately $291.55.

f) For Option 2, the monthly installment amount during the first 36 months is $Y. After 36 months, the monthly installment amount doubles. Using the present value formula: \($13,000 = Y * (1 - (1 + 0.06/12)^-36) / (0.06/12) + 2Y * (1 - (1 + 0.06/12)^-30) / (0.06/12)\). Solving for Y, the monthly installment amount is approximately $237.63.

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The matrix a for the linear transformation y = ax where x = [x1 x2] is given by:\(\begin{pmatrix}a_{11}&a_{12}\\a_{21}&a_{22}\end{pmatrix}\)

To find the matrix a in the linear transformation y = ax where x = [x1 x2], we need to use the formula for a linear transformation matrix which is given by:\(\begin{pmatrix}y_1\\y_2\\\vdots\\y_n\end{pmatrix}\) = \(\begin{pmatrix}a_{11}&a_{12}&\cdots&a_{1n}\\a_{21}&a_{22}&\cdots&a_{2n}\\\vdots&\vdots&\ddots&\vdots\\a_{m1}&a_{m2}&\cdots&a_{mn}\end{pmatrix}\) \(\begin{pmatrix}x_1\\x_2\\\vdots\\x_n\end{pmatrix}\)

Where a11, a12, a21, a22 are the coefficients of the linear transformation matrix a. So, using this formula, we can write:y = ax\(\implies\) \(\begin{pmatrix}y_1\\y_2\end{pmatrix}\) = \(\begin{pmatrix}a_{11}&a_{12}\\a_{21}&a_{22}\end{pmatrix}\) \(\begin{pmatrix}x_1\\x_2\end{pmatrix}\)

Comparing this with the general formula for a linear transformation matrix, we can see that:\(m=n=2\)\(a_{11},a_{12},a_{21},a_{22}\) are the coefficients of the matrix a.

Therefore, the matrix a for the linear transformation y = ax where x = [x1 x2] is given by:\(\begin{pmatrix}a_{11}&a_{12}\\a_{21}&a_{22}\end{pmatrix}\)

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Answer:

y=500x+25000

where y is height in ft

and x is time in minute....

Answer:

0.49

Explanation:

Given the expression:

tan 26°

Evaluating using calculator

tan 26° = 0.4877

Hence the decimal rounded to the nearest hundredth is 0.49

Answer:

0.49 to nearest hundredth

Step-by-step explanation:

tan 26⁰ = 0.48773

The approximate probability of drawing one orange marble and one green marble from a bag containing five red marbles, four orange marbles, one yellow marble, and three green marbles is approximately 0.154.

To find the approximate probability of drawing marbles, we can use the following formula

probability = (number of favorable outcomes) / (total number of outcomes)

We need to find the number of favorable outcomes where one marble is orange and the other is green. We can choose one orange marble from four orange marbles in the bag in 4 ways, and one green marble from three green marbles in 3 ways. So, the number of favorable outcomes is 4 x 3 = 12.

The total number of ways of choosing two marbles from the bag is 13C2, which is the number of combinations of 2 marbles that can be drawn from the 13 marbles in the bag. Therefore, the total number of outcomes is

13C2 = (13 x 12) / (2 x 1) = 78

Thus, the approximate probability of drawing one orange marble and one green marble is

probability = number of favorable outcomes / total number of outcomes = 12/78 ≈ 0.154

Therefore, the approximate probability of drawing one orange marble and one green marble from the bag is approximately 0.154.

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The decision-making process involved in Mikaela's decision to attend a Zumba class on Tuesday and Thursday afternoons and make it her regular exercise routine is "escalation."

In the scenario described, Mikaela initially started attending the Zumba class on Tuesday and Thursday afternoons. She found that it gave her a good workout and was satisfied with the results. As a result, she continued attending the class on those days and made it her regular exercise routine. This decision to stick to the same schedule without considering other options or making changes over time is an example of escalation.

Escalation in decision-making refers to the tendency to persist with a chosen course of action even if it may not be the most optimal or efficient choice. It occurs when individuals continue to invest time, effort, and resources into a decision or course of action, even if there may be better alternatives available. In this case, Mikaela has decided to stick with the Zumba class on Tuesday and Thursday afternoons because she found it effective and enjoyable, and she hasn't explored other exercise options since then.

It's important to note that escalation may not always be the best approach in decision-making. It's always a good idea to periodically reassess and evaluate the choices we make to ensure they still align with our goals and needs. Mikaela might benefit from periodically evaluating her exercise routine to see if it still meets her fitness goals and if there are other options she could explore for variety or improved results.

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Answer:

I guess you forget to add the picture

Answer:

68

Step-by-step explanation:

\(4+\left(11-3\right)^2\\(11-3)=8\\=4+8^2\\=4+64\\=68\)

The numbers that can be formed using the  condition is \(20^n\)

When a positive integer has n digits and the first digit is 2, all of the digits are prime, the probability that any two successive digits added together are prime is. Numbers from the set {1,3,5,7,9} must be used in the n odd locations, and numbers from the set {2,4,6,8} must be used in the n even spots.

We cannot include 0 in even positive integers because it is neither positive nor negative.

Order matters and repetitions are permitted.

So, here we are

possibilities are

\(5^n \times 4^n =20^n\)

where n is the integral value

Therefore, the number of positive integers with digits and the specified restriction is \(20^n\)

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Answer:

y = -4x - 66

Step-by-step explanation:

It should be noted that the value of angle x if m∠3=4x+10 and m∠4=5x is 10.

It should be noted that from the information, m∠3=4x+10 and m∠4=5x are equal angles.

Therefore, it should be noted that we will equate them

4x + 10 = 5x

Collect like terms

5x - 4x = 10

x = 10

Therefore, the value of x is 10.

In conclusion, it should be noted that the value of angle x if m∠3=4x+10 and m∠4=5x is 10.

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If m∠3=4x+10 and m∠4=5x are equal. Find x.