Which property of addition is shown in the equation below?
a + bi + 0 + Oi = a + bi
A.commutative property
B.inverse property
C.identity property
D.associative property

Answer:

Greater

Step-by-step explanation:

.4*1.8 is .72

.72 is greater than .4

Step-by-step explanation:

m = number of minutes

x(m) = 0.05m + 0.3

y(m) = 0.04m + 0.2

to find the difference between both company plans we need to subtract y from x :

0.05m + 0.3 - (0.04m + 0.2) =

= 0.05m + 0.3 - 0.04m - 0.2 =

= 0.01m + 0.1

company x charges for n minutes

$0.01n + $0.1

more.

Answer:

The coordinates of point E are (7,8).

Step-by-step explanation:

Point E:

Is given by (x,y).

DE: EF = 2:3.

This means that, for both coordinates x and y:

\(E - D = \frac{2}{2+3}(F-D)\)

\(E - D = \frac{2}{5}(F-D)\)

x-coordinate:

x-coordinate of D: 1

x-coordinate of F: 16

\(E - D = \frac{2}{5}(F-D)\)

\(x - 1 = \frac{2}{5}(16-1)\)

\(x - 1 = 2*3\)

\(x = 7\)

y-coordiante:

y-coordinate of D: 4

y-coordinate of F: 14

\(E - D = \frac{2}{5}(F-D)\)

\(y - 4 = \frac{2}{5}(14-4)\)

\(y - 4 = 2*2\)

\(x = 8\)

The coordinates of point E are (7,8).

a) There may be 512 sandwiches produced at once.

b) 11 condiments are the bare minimum needed to create at least 2000 distinct sandwich options.

In mathematics, a relationship between two expressions or values that are not equal to each other is called 'inequality.

When resolving an inequality, you can do one of the following: • Add the same amount to each side;  Subtract the same amount from each side; • Multiply or divide each side by the same positive amount. You must flip the inequality sign if you multiply or divide either side by a negative number.

Considering that there are 9 different condiments to pick from

Using the relation, one may determine how many different ways there are to arrange n items in a list.

Here, n = 9

As a result, there may be created the following number of sandwiches:

The bare minimum of condiments needed to give at least 2000 distinct sandwich options is:

In order to do this,

n = 11

Since the inequality is satisfied by 211, the number of condiments required to provide at least 2000 distinct sandwiches is 11.

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Thus, the derivative of the given function is found as: \(f'(x) = (2x) /\sqrt{(9 + x^{2} )}\).

The derivative of a function f(x), also known as f'(x) or df/dx, is a measure of how quickly a function changes.  A shift in the value of x is depicted in the image by the symbol x.

Hence, df/dx is a single phrase and should not be mistaken for a fraction. It is also a clue that x is the independent variable because it can be interpreted as the derivative of a function having respect to x.

Given function:

\(f(x ) = \sqrt{9 + x^{2} } .dx\)

Differentiating the function with respect to x, using the chain rule.

\(f'(x) = (9 + x^{2} )^{1/2 - 1} .(0 + 2x)\)

\(f'(x) = (9 + x^{2} )^{-1/2} .(2x)\)

\(f'(x) = (2x) /(9 + x^{2} )^{1/2}\)

\(f'(x) = (2x) /\sqrt{(9 + x^{2} )}\)

Thus, the derivative of the given function is found as: \(f'(x) = (2x) /\sqrt{(9 + x^{2} )}\).

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The entire missing lengths as well as the missing angles of the given right angle triangle are as calculated below using Pythagoras theorem and trigonometric rules.

We are given a right angle triangle and as such we can use both Pythagoras theorem and even trigonometric rules such as sine rule and cosine rules.

a) W are given that A = 30°, Thus;

B = 180 - (90 + 30)

B = 60°

Using sine rule;

a/sin A = b/sin B

a/sin 30 = 6/sin 60

a = 3.464

c/sin 90 = 6/sin 60

c = 6.928

b) a = 13 and b = 13

Using Pythagoras theorem;

c = √(13² + 13²)

c = 18.385

Since a = b, it means it is an isosceles triangle and so;

A = B = 45°

c) B = 30°, c = 10

A = 180 - (30 + 90)

A = 60°

10/sin 90 = b/sin 30

b = 5

10/sin 90 = a/sin 60

a = 8.66

d) A = 45°, c = 12

B = 45°

c/sin 90 = b/sin 45 = a/sin 45

b = a = 12 * sin 45 = 8.485

e) c = 1, b = 1/√2

c/sin 90 = b/sin B

1/sin 90 = (1/√2)/ sin B

B = 45° = A

a = √(1² - (1/√2)²)

a = 0.7071

f) c = 4 and b = 4;

a = √(4² - (4)²)

a = 0

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The area was approximately 430.365 square meters.

To start, let's recall the formula for finding the area of a triangle. The formula is:

Area of a triangle = (base x height) / 2

To do that, we can use Heron's formula. Heron's formula states that the area of a triangle can be found using its sides, a, b, and c, where s is the semi-perimeter of the triangle (half of the perimeter):

Area of a triangle = √(s(s-a)(s-b)(s-c))

where

s = (a+b+c)/2

Now, let's apply Heron's formula to our problem.

We know that the sides of the triangle are 75.6m, 56.7m, and 52.5m. We can add them together and divide by 2 to get the semi-perimeter:

s = (75.6 + 56.7 + 52.5) / 2

s = 92.4

Next, we can substitute the values of a, b, and c into the formula:

Area of a triangle = √(92.4(92.4-75.6)(92.4-56.7)(92.4-52.5))

Area of a triangle = √(92.4(16.8)(35.7)(39.9))

Area of a triangle = √(185623.66256)

Area of a triangle ≈ 430.365m²

= 99 degrees.

So the area of the triangle with sides measuring 75.6m, 56.7m, and 52.5m, and a height of 42m, is approximately 430.365 square meters.

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The angle measures for this problem are given as follows:

The sum of the measures of the internal angles of a triangle is of 180º.

The triangle in this problem is ABC, hence the measure of a is obtained as follows:

a + 68 + 50 = 180

a = 180 - (68 + 50)

a = 62º.

c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:

Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:

a + b = 180

62 + b = 180

b = 118º.

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Answer:

1. \(\frac{3}{8}\)

2. \(\frac{1}{4}\)

3a. \(-\frac{1}{4}\)

3b. 3

3c. \(-\frac{4}{5}\)

4. \(m = \frac{y_1 - y_2}{x_1-x_2}\\\)

Step-by-step explanation:

1.

Rises 6 inches for every horizontal change of 16 inches

Slope = rise/run

Slope = 6/16

Slope = 3/8

2.

Rises 3 feet for every horizontal change of 12 feet

Slope = rise/run

Slope = 3/12

Slope = 1/4

3a.

\(m = \frac{y_1 - y_2}{x_1-x_2}\)

\(m = \frac{3-2}{-2-2}\)

\(m = \frac{1}{-4}\)

\(m = -\frac{1}{4}\)

3b.

\(m = \frac{y_1 - y_2}{x_1-x_2}\\\)

\(m = \frac{-1 - 2}{-1-0}\)

\(m = \frac{-3}{-1}\)

\(m = 3\)

3c.

\(m = \frac{y_1 - y_2}{x_1-x_2}\\\)

\(m = \frac{1 - (-3)}{-1-4}\\\)

\(m = \frac{4}{-5}\\\)

\(m = -\frac{4}{5}\)

4.

\(m = \frac{y_1 - y_2}{x_1-x_2}\\\)

Answer:

B. 10x -40

Step-by-step explanation:

To rewrite the expression 5(2x-8) using the distributive property, we need to separate the expression inside the parentheses and then multiply the two expressions by 5. The answer is: 10x-40.

Answer:

25% of the students are girls.

Step-by-step explanation:

Key skills needed: Ratios, Percents, Fractions

1) There are 6 girls and 18 boys in the class --> This means that there are 6+18 or 24 people in the class total.

2) 6 of the 24 people are girls. So as a fraction --> 6/24 is the number of girls over the total number of people.

3) This can be simplified as 1/4 --> Divide 1 by 4 --> And this is 0.25

4) Multiply this by a 100 to get a percent form --> 25%

Hope you understood and have a nice day!! :D

Answer:

Step-by-step explanation:

7.18/9 divide 9 and that would equal 2/1 so its 2

8.24/40 divide 8 and that would equal 3/5

9.7/21 divide 7 and that would equal 1/3

10.9/1 stays the same so its 9

Answer:

X + 15 < 9

x < 15 - 9

x < -6

Step-by-step explanation:

Hope you got it

The equivalent equation of  r sinθ = 10 in rectangular coordinates is y²  +   y⁴/x² - 100 = 0.

The rectangular coordinates is calculated from the polar equation as follows;

r sinθ = 10

the conversion from polar to rectangular coordinates;

r² = x² + y²

r = √(x² + y²) ----- (1)

y/x = tanθ  ------ (2)

r sinθ = 10

√(x² + y²)(y/x) = 10

(x² + y²)(y²/x²) = 100

y²  +   y⁴/x² = 100

y²  +   y⁴/x² - 100 = 0

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Answer:

\( \frac{x {y}^{2} }{ - 8} \\ x = 7 \\ y = 1 \\ then \\ \frac{7 \times {1}^{2} }{ - 8} = \frac{7}{ - 8} = \frac{ - 7}{8} \\ thank \: you\)

Answer: y = 10/7 x= 26/7 so A (26/7 , 10/7)

Step-by-step explanation:

since an equation for x is already given, we can plug it in to the first equation to solve for y

3(4y-2) + 2y = 14

12y - 6 +2y = 14

14y -6 = 14

14y = 20

y = 20/14

simplify

y = 10/7

plug the y we just found into the equation for x to find the value of x

x = 4(10/7) -2

x= 40/7 - 2

make both fractions

x = 40/7 -14/7

x= 26/7

hope this helps!

The magnitude of the vector sum (A + B) is approximately 4.974.

To find the magnitude of the vector sum (A + B), we need to add the corresponding components of vectors A and B and then calculate the magnitude of the resulting vector.

Given:

Vector A: (5.1, 0)

Vector B: (-2.6, -4.3)

To find the vector sum (A + B), we add the corresponding components:

(A + B) = (5.1 + (-2.6), 0 + (-4.3))

= (2.5, -4.3)

Now, let's calculate the magnitude of the vector (2.5, -4.3):

Magnitude = sqrt((2.5)^2 + (-4.3)^2)

= sqrt(6.25 + 18.49)

= sqrt(24.74)

≈ 4.974

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Answer:

Step-by-step explanation:

Point: 10,-9

k=-2

y=-2x+b

So: 9, -7

8,-5

7,-3

6,-1

5,1

4,3

3,5

2,7

1,9

0,11

y=-2x+11

Answer:

y + 9 = - 2(x - 10)

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = - 2 and (a, b ) = (10, - 9 ) , then

y - (- 9) = - 2(x - 10) , that is

y + 9 = - 2(x - 10)

Answer:

The sum is -8x^2 - x + 5

h.c gjsussisuse udrih eieeiee Getty e

9514 1404 393

Answer:

Step-by-step explanation:

The relationship between time, speed, and distance is ...

  time = distance/speed

__

a) For 1 km, the time in hours is ...

  time = (1 km)/(3.5 km/h) = 1/3.5 h = 2/7 h

In minutes, that is ...

  (60 min/h)(2/7 h) = 120/7 min = 17 1/7 min . . . . time for 1 km

__

b) The time for 10 km is 10 times the time for 1 km, so will be ...

  (10)(2/7 h) = 20/7 h = 2 6/7 h

In hours and minutes, that is 2 hours and (6/7)(60 min) = 360/7 min = 51 3/7 min.

The time for 10 km is 2 hours 51 3/7 minutes.

Answer:

11:33 or in simplified terms 1:3

Step-by-step explanation:

Hope this helps!:)

n⁴ - 2n³ - 23n² + 24n + 144 is the standard form of given zeroes.

What is a linear equation in mathematics?

A linear equation is an algebraic equation of the form y=mx+b. m is the slope and b is the y-intercept. The above is sometimes called a "linear equation in two variables" where y and x are variables.

                              A linear equation is an equation that raises a variable to the first power. ax+b = 0 is an example of a 1 variable. x is a variable and a and b are real numbers.  

Roots : -3(mult . 2), 4(mult.2)

the function is given as

     f(n) = (n + 3)² (n - 4)²

         = (n + 3) (n + 3 ) ( n - 4 ) ( n - 4)

        = (n² + 6n + 9) (n² - 8n + 16 )

        = n⁴ - 8n³ + 16n² + 6n³ - 48n² + 96n + 9n² - 72n + 1

collecting like term,

    f(n) = n⁴ - 2n³ - 23n² + 24n + 144

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Answer:

data set: a ; slope: 1/2

Step-by-step explanation:

If an equation is linear, then the first common differences are all the same.

In table a:

17-12 = 5

22-17 = 5

27-22 = 5

etc.

Equation:

m represents slope

y = mx + b

y = mx + 12 (y-intercept is 12)

17 = 10m + 12

10m = 17-12

10m = 5

m = 10/5 = 1/2

The calculated value of x at g(x) = 2 is x = 2.5

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

f(x) = 3x - 1

Also, we have

g(x) = 2x - 3

When g(x) - 2, we have

2x - 3 = 2

So, we have

2x = 5

Divide by 2

x = 2.5

Hence, the value of x at g(x) = 2 is x = 2.5

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We have the following:

therefore, the last option is correct

Answer: tue x value for this would be 12

Step-by-step explanation: hope this helps

The difference between the observed and expected number of late departures is statistically significant, we need to perform a binomial test by calculating the probability of observing 16 or more late departures out of 300 flights assuming the null hypothesis is true. If the resulting p-value is less than 0.05, we can conclude that the difference is statistically significant.

Based on the given information, an airline with a 95% on-time departure rate has 16 out of 300 flights with late departures. The question asks whether the difference between what occurred (16 late departures) and what you would expect by chance is statistically significant.
To determine if the difference is statistically significant, we need to conduct a hypothesis test. In this case, we can use a binomial test since we are dealing with two possible outcomes: on-time departure or late departure.
The null hypothesis (H0) assumes that the observed number of late departures is equal to what would be expected by chance. The alternative hypothesis (Ha) assumes that there is a significant difference between the observed and expected values.
In this case, the expected number of late departures can be calculated by multiplying the total number of flights (300) by the expected on-time departure rate (95%). This gives us an expected value of 300 * 0.05 = 15.
To perform the binomial test, we can calculate the probability of observing 16 or more late departures out of 300 flights, assuming the null hypothesis is true. This probability can be calculated using the binomial probability formula or by using statistical software.
If the resulting probability (also known as the p-value) is less than the significance level (usually 0.05), we can reject the null hypothesis and conclude that the difference between what occurred and what would be expected by chance is statistically significant. Otherwise, if the p-value is greater than 0.05, we fail to reject the null hypothesis and conclude that the difference is not statistically significant.
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