find the measurement of angle G

Applying the knowledge of quotient and fractions, we have:

The number of soda each person will drink is: \(1\frac{2}{3} \) glasses.

The fraction of sugar to be used per cupcake is: \(1\frac{3}{5} \)

Problem 1:

The expression that matches the situation is: 7 ÷ 3 (quotient of 7 and 3)

7/3 = \(1\frac{2}{3} \)

The number of soda each person will drink is: \(1\frac{2}{3} \) glasses.

Problem 2:

The expression that matches the situation is: 8 ÷ 5 (quotient of 8 and 5)

8/5 = \(1\frac{3}{5} \)

The fraction of sugar to be used per cupcake is: \(1\frac{3}{5} \)

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Answer:

D

Step-by-step explanation:

Non of the other answers have negatives in them.  And you would solve with multipliation.

It's D. Look at the one above me.

The dimensions of the vertical cross section of the prism is D = 5 in x 4 in

Given data ,

Let the prism be represented as A

Now , the value of A is

The formula for the surface area of a prism is SA=2B+ph, where B, is the area of the base, p represents the perimeter of the base, and h stands for the height of the prism

Surface Area of the prism = 2B + ph

The area of the triangular prism is A = ph + ( 1/2 ) bh

Now , the length of the cross section of prism is L = 5 inches

And , the height of the cross section = height of the prism

where the height of the prism H = 4 inches

Hence , the dimension of the cross section is D = 5 in x 4 in

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Answer:

your answer is 30.09

Step-by-step explanation:

hope this helps

Answer:

\(a=1, h=-5, k=-24\)

Step-by-step explanation:

\(f(x)=x^2+10x+1 \\ \\ =x^2+10x+25+1-25 \\ \\ =(x+5)^2-24 \\ \\ \therefore a=1, h=-5, k=-24\)

Given the function:

Let's find the limit of the function as x approaches infinity and also as x approaches negative infinity.

We have:

The limit at infinity of a polynomial whose leading coefficient is negative is negative infinity.

• Also, the limit of the function at negative infinity:

The limit at negtaive infinity of a polynomial whose leading coefficient is negative is infinity.

ANSWER:

The covariance matrix of (Y, Z) is a 2x2 matrix with 0 covariance between Y and Z. The joint pdf of (Y, Z) can be obtained by combining the individual pdfs of X and W. Finally, the coefficient of the linear MMSE estimator for estimating Y based on Z is 0

In this problem, we have two independent Gaussian random variables, X and W, with a mean of 0 and a variance of 1. We use these variables to generate a column vector (Y, Z) with specific linear combinations.

We are asked to calculate the covariance matrix of (Y, Z), find the joint probability density function (pdf) of (Y, Z), and calculate the coefficient of the linear minimum mean square error (MMSE) estimator for estimating Y based on Z.

(a) To calculate the covariance matrix, we need to find the covariances between Y and Z. Using the properties of covariance, we find that \(Cov(Y, Z) = Cov(2X + 3W, -3X + 2W) = 0\). We can then calculate the variances Var(Y) and Var(Z), which are \(Var(Y) = 4Var(X) + 9Var(W) = 4 and Var(Z) = 9Var(X) + 4Var(W) = 9\).

(b) The joint pdf of (Y, Z) can be determined by combining the pdfs of X and W using the linear transformations. Since X and W are independent, their joint pdf is the product of their individual pdfs. The joint pdf of (Y, Z) is given by f(Y, Z) = f(X, W) * |J|, where |J| is the determinant of the Jacobian matrix of the transformation.

(c) The coefficient of the linear MMSE estimator for estimating Y based on Z is calculated as the ratio of the covariance between Y and Z to the variance of Z. In this case, the covariance Cov(Y, Z) is 0, and the variance Var(Z) is 9. Therefore, the coefficient of the linear MMSE estimator is 0/9 = 0.

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Answer:

54÷9 = 6 so for the second box is 6 hot dogs per person

54÷27= 2 third box is 2 hot dogs per person

54÷54= 1 fourth box is 1 hot dog per person

The properties of a kite indicates;

A kite is a quadrilateral with a line of symmetry which corresponding to one of the diagonals, and in which there are two pairs of adjacent congruent sides.

1. Triangle ΔVYZ in the kite is a right triangle, therefore;

m∠VZY = 90° - 49° = 41°

2. m∠VXY = m∠VZY = 41°

Therefore, according to the angle addition postulate, we get;

m∠VXY = 104° - 41° = 63°

3. The measure of angle XWV = 90° - 63° = 27°

The measure of angle XWY, m∠XWY = 2 × 27° = 54°

4. m∠XDA = 90° - 32° = 58°

5. The corresponding angle property of similar angles indicates;

m∠ABC = m∠XDA + m∠XDC

Therefore; m∠ABC = 58° + 64° = 122°

6. m∠BCD = m∠DCX = 90° - 64° = 26°

7. m∠QRT = 90° - (m∠PQR)/2

Therefore; m∠QRT = 90° - 78°/2 = 51°

8. m∠QPS = (90° - 78°/2) + 59° = 110°

9. m∠PSR = 2 × (90° - m∠TRS)

m∠PSR = 2 × (90° - 59°) = 62°

10. The measure of the angle x is; x = 90° - 78° = 12°

The measure of the angle y is; 90° - 41° = 49°

11. The perimeter = 3·y + 3·y + (2·y - 2) + (2·y - 2) = 86 feet

3·y + 3·y + (2·y - 2) + (2·y - 2)  = 2·(5·y - 2) = 86

5·y - 2 = 86/2 = 43

y = (43 + 2)/5 = 9

The diagonals of a kite bisect each other, therefore;

5·x - 15 = 2·x + 3

5·x - 2·x  = 3 + 15 = 18

3·x  = 18

x = 18/3 = 6

x = 6

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Answer:

The product of (px + qy)(ax − by) is pax^2 + qaxby - pbx^2 - qby^2.

Step-by-step explanation:

Answer: apx^2-bpxy+aqxy-bqy^2

Step-by-step explanation: (px+qy)x(ax-by) Multiply each term in the first parenthesis by each term in the second parenthesis (FOIL). That would give you pxax-bpxy+aqxy-qyby. Then calculate the product pxax which would give you apx^2-bpxy+aqxy-qyby. Calculate the other product qyby which would give you apx^2-bpxy+aqxy-bqy^2.  

Answer:

Step-by-step explanation:

​

 First we should go for the Brackets ,then for Exponents then Multiplication /Division (should do from left) and last addition /Subtraction(from left)

The error starts from here- 36-10 + 4

If we are doing addition or subtraction start from left

=36−10+4

=26+4

=30

​So 30 is the correct answer

Answer:

11285

Step-by-step explanation:

Answer:

11,285

Step-by-step explanation:

Line up the numbers so that ther columns add up.

Add the two numbers in the column starting from the right.

The first digit goes to the next column over to the left and the second digit goes directly under the column of the numbers that were added together.

Repeat the steps above till there are no columns left.

The mean square errors for the three-month and four-month moving average forecasts shown below.

How closely a regression line resembles a set of data points is determined by the Mean Squared Error. It is a risk function that corresponds to the squared error loss's expected value. The average, more particularly the mean, of errors squared from data related to a function is used to determine mean square error.

Given:

According to the Given data we construct a table as

Month   Sales   3- month           4- month      3- month     4- month      

                         moving             moving         squared       squared

                        averages            averages      error           error

1             9.6      

2             9.2

3             9.3

4             9.2     9.367                                        0.111            

5             9.2     9.400                   9.450           0.160        0.123    

6             9.2     9.500                  9.500            0.010        0.140    

7             9.2     9.733                   9.625            0.001         0.006  

8             9.2     9.733                   9.725            0.751          0.776  

9             9.2     10.000                 9.950           0.010           0.002  

10            9.2     10.067                  9.975            0.218          0.141  

11             9.2     10.033                   9.950          0.401           0.322

12            9.2     9.633                   9.975             0.004          0.031

13                       9.567                 9.650    

                                                        MSE             0.185            0.176

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15*19=285

base times height is the formula

Answer:

-1/2

Step-by-step explanation:

To find the slope

m = (y2-y1)/(x2-x1)

m= (-4 -1)/(0- - 10)

   = (-4-1)/(0+10)

   = -5/10

= -1/2

Answer:

D

Step-by-step explanation:

hope this helps

A.) \(\frac{24\pi }{5} < \frac{63}{4} < 15.758 < 956\sqrt{e}\) is the set of numbers correctly ordered from least to greatest (ascending order).

Ascending order is a method of arranging numbers from smallest value to largest value. The order goes from left to right. Ascending order is also sometimes named as increasing order.

\(\frac{24\pi }{5} = 15.0796\\\\\frac{63}{4} = 15.75\\\\956\sqrt{e} = 1576.177\)

15.079 < 15.75 < 15.758 < 1576.177

\(\frac{24\pi }{5} < \frac{63}{4} < 15.758 < 956\sqrt{e}\)

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Answer:

7

Step-by-step explanation:

According to the Question,

Given, There is a 2-digit number, the unit digit is 3 & The sum of its tens digit, and the unit digit is 10.

Suppose The Number is XY .

Now, We Know X+Y=10 & Y=3 .

So, X+3=10 ⇔ 7 is the number on Tens Place.

And, the Number is 73 .

Answer:

The y-intercept is 2 and the slope is 1/2. So the equation is y = 1/2x + 2

Step-by-step explanation:

The y-intercept is where the line starts on the y-axis. For the slope to the next point on the line you have to move 2 units to the right and 1 unit up. When writing the slope as a fraction, you always put how far you move up or down above how far you move to the right or left.

The chili was ready at 1:28 p.m.

Jeremiah started making chili for a football party at 10:59 a.m. It took 1 hour and 36 minutes to prepare and assemble the ingredients. After that, the chili had to simmer for 53 minutes.

To determine the time the chili was ready, we need to add the total time it took to prepare the chili to the time Jeremiah started making it.

We can break down the total time into hours and minutes by dividing it by 60 since there are 60 minutes in an hour.

10:59 a.m. + 1 hour 36 minutes = 12:35 p.m. (time to finish preparing the chili)

12:35 p.m. + 53 minutes = 1:28 p.m. (time the chili was ready)

Therefore, the chili was ready at 1:28 p.m.

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Answer:

Step-by-step explanation:

√a^2 + b^2 =a+b

√ (a+b)^2 =a +b

The square root and the square cancel making

√a^2+b^2=a+b

This means that gcd(a, m) is a subset of gcd(b, m) (since any common divisor of a and m is also a common divisor of b and m), and similarly, gcd(b, m) is a subset of gcd(a, m). Therefore, gcd(a, m) = gcd(b, m).

To show that gcd(a, m) = gcd(b, m) when a ≡ b (mod m) and m ≥ 2, we can use the fact that if d divides both a and m, then it also divides b (since a ≡ b (mod m) implies that m divides a-b).
So, let's start by letting d be a common divisor of a and m, and let's show that it is also a common divisor of b and m. Since d divides a and m, we can write a = kd and m = ld for some integers k and l. Then, we have:
b ≡ a (mod m)  (by the definition of congruence)
b ≡ kd (mod ld)  (substituting a = kd and m = ld)
b = jd  (where j = k mod l, since ld divides kd and hence j is an integer)
Therefore, we have shown that if d divides both a and m, then it also divides b and m.

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The point (-0.5, 0.866) represents the angle -4pi/3 graphed on the unit circle.

For an angle \(\theta\) the unit circle is a circle with radius 1 containing the following set of points: \((\cos{\theta}, \sin{\theta})\).

The angle for this problem is given as follows:

-4pi/3.

Hence the sine and the cosine are given as follows:

Hence the point (-0.5, 0.866) represents the angle -4pi/3 graphed on the unit circle.

(the equation of the unit circle is x² + y² = 1).

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Answer: D) There are NO outliers by the 1.5lQR rule in either distribution

Step-by-step explanation:

Answer:

Step-by-step explanation:

y=mx+b   is the standard form

m= slope

If the slopes are the same they are parallel

If the slopes are Opposite signed and reciprocals, then they are perpendicular

both of the slopes are 5, so the lines are parallel

Answer:

Step-by-step explanation:

Given the modulus of a complex number |z1| = 6 and its argument θ1 = 70°

If z1 = a+bi, according to definition;

|z1| = √a²+b²

|z1|² = a²+b²

Since |z1| = 6, |z1|² = 6² = 36

a²+b² = 36 .......... 1

Also the argument is derived from the expression

tan θ = b/a

tan 70 = b/a

b/a = 2.75

b = 2.75a ........ 2

Substitute equation 2 into 1

a²+b² = 36

a²+(2.75a)² = 36

a²+7.5625a² = 36

8.5625a² = 36

a² = 36/8.5625

a² = 4.204379

a = √4.204379

a = 2.051 (to nearest thousandth)

Since b = b = 2.75a

b = 2.75(2.051)

b = 5.639 (to nearest thousandth)

z1 = 2.051+5.639i

Answer: \(-5\sqrt{3}-5i\)

Step-by-step explanation: It was right on Khan

Answer:

\(\displaystyle d = 5\sqrt{2}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Coordinate Planes

Algebra II

Distance Formula: \(\displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)

Step-by-step explanation:

Step 1: Define

Identify.

Point (2, 2)

Point (7, 7)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d.

Answer:

24 1/2

Step-by-step explanation:

Every 1/2 is 2 gallons.

1/2 x 2 gallons = 4 gallons.

The whole number in 6 1/2 is 6.

1 x 6 = 6.

Now, we multiply 6 by 4 because each 1 = 4 gallons.

6 x 4 = 24.

There is still an 1/2 left in 6 1/2.

You add that.

Your answer is 24 1/2.

Hope this helps you!