Question 3(Multiple Choice Worth 2 points)
(Interior and Exterior Angles MC)
In AJKL, mZJ = 67° and mL = 90°. Determine the measure of the exterior angle to ZK.
23°
113°
O 157°
O 78.5°

Answer:

1 block west and 8 blocks north

Step-by-step explanation:

One block east and two blocks north to the coffee shop. Subtract two blocks west from the one block east, and you get one block west. Add the six blocks north to the two blocks north, and you get eight blocks north.

ANSWER

• Ratio: 2

• Lengths of the sides of the new triangle: 6, 6√2

• Circles: ,see explanation

• Triangle: ,see explanation

EXPLANATION

• The ratio is the quotient between the length of segment DE and, for example, segment AB,

• Now, we have to multiply each side of triangle ABC by 2 to obtain the lengths of the sides of triangle DEF,

• Next, draw the two circles mentioned,

• The intersection between the two circles is point F. The ,triangle is,

A baker can bake 20 cupcakes in two hours, 30 cupcakes in three hours, and 40 cupcakes in four hours.

so, the rate can be calculated as following:

number of cupcakes over the number of hours

So,

No, they can not wash the car in less than 16 minutes while working together.

Given, Kyle can wash the car in 30 minutes.

Michael can wash the car in 40 minutes.

Now, we are asked that working together, can they wash the car in less than 16 minutes.

So, Kyle wash the car = 30 min

Kyle can wash (1/30)th part of the car in 1 min.

Michael wash the car = 40 min

Michael can wash (1/40)th part of the car in 1 min.

Kyle and Michael can together wash the ( 1/30 + 1/40 )th part of the car in 1 min.

Kyle and Michael = 1/30 + 1/40

Kyle and Michael = (4 + 3)/120

Kyle and Michael = 7/120

So, Kyle and Michael can together wash the 7/120th part of the car in 1 min.

and both can together wash the car in 120/7 min i.e. 17.14 min

So, working together both can wash the car in 17.14 min.

Hence, No, they can not wash the car in less than 16 minutes while working together.

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The maximum number of guests Gianna can serve will be 16.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers

From the information, Gianna purchased 5 1/2 pints of ice cream for a party. If each guest will be served exactly 1/3 pint of ice cream

The maximum number of guests Gianna can serve will be:

= 5 1/2 ÷ 1/3

= 11/2 ÷ 1/3

= 11/2 × 3

= 33/2

= 16.5

The maximum number will be 16.

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Complete question

Gianna purchased 5 1/2 pints of ice cream for a party. If each guest will be served exactly 1/3 pint of ice cream, what is the maximum number of guests Gianna can serve?

Box with prime numbers = 2, 3, 5, 7

Box with the other numbers = 1, 4,6,8,9, 10

Possible pairs

12 13 15 17 Four pairs

42 43 45 47 Four pairs

62 63 65 67 Four pairs

82 83 85 87 Four pairs

92 9 3 95 97 Four pairs

102 103 105 107 Four pairs

Total numbers of pairs 24 pairs

Answer:

the answer is D: $10547.20

The expression with a coefficient of 10 and a constant of 5 is given by 10x + 5.

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values. In a equation say : ax + b, [a] is called coefficient of [x] and [b] is independent of [x] and hence is called constant.

We have a expression with a coefficient of 10 and a constant of 5.

The expression with a coefficient of 10 and a constant of 5 is given by -

10x + 5

Therefore, the expression with a coefficient of 10 and a constant of 5 is given by 10x + 5.

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Step 1

Given;

Required; To simplify

Step 2

Hence if we factorize we get;

Therefore;

Answer:

See below

Step-by-step explanation:

f(x) = ( x^2 + 5)^3      f(0) =  5^3 = 125

(x^2+5)^3 = x^6 + 15x^4 + 75 x^2 + 125

so you have       (x^6 + 15x^4 + 75x^2  + 125 - 125) /x

                   = x^5 + 15x^3 + 75x     =   x ( x^4 + 15x^2 + 75)  

find the slope of 4x + 3y equals to​

I will assume a value of a

so

4x+3y=a

Isolate the variable y

3y=-4x+a

y=-(4/3)x+a/3

therefore

Note: the value of the slope not depend of the value of a

Answer: 9.7 seconds

Step-by-step explanation:

[tex]16t^2 =1503\\\\t^2 =1503/16\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7[/tex]

Answer:

1 meter of dispalcement,

17 meters of path distance

Step-by-step explanation:

-4meters/min * 2min = -8meter

3 m/m * 3m = 9meters

-8+9 = 1 meter of displacement, it's looking for the total path's distance, then that is just |-8|+|9|=17 meters

I hope this helps

Answer:

The fish ascended a total of meter.

Step-by-step explanation:

distance= rate x time

D= -4(2)= -8m

A= 3(3)= 9m

-8m+9m= 1m

;)

By '70% off' the text means that there is a discount of 70% on the item, in other words we are only paying 30% of the original value of the item. Therefore if we multiply 30% by the value of the item, we will find the price. This is done below:

The price of the with discount coat is $66

Step 1:

Find the value of x

Using secant theorem

If x = 9

Then 6x+2 = 6(9) + 2 = 54+2 = 56 degrees

The measure of arc PQ = 14(9) - 14 = 126 - 14 = 112 degrees

Step 3:

The total angle in a circumference is 360 degrees

Therefore ,

mPQ + mPSQ = 360

mPSQ = 360 - mPQ

mPSQ= 360 - 112 = 248degrees

The answer is option B

The value of x that makes both expressions equal is 6.5.

So, the value of x that makes both the expression equal.

So, we can write the expression as:

5x - 8 = 3x + 5

Now, solve for x as follows:

5x - 8 = 3x + 5

5x - 3x = 5 + 8

2x = 13

x = 13/2

x = 6.5

Therefore, the value of x that makes both expressions equal is 6.5.

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To solve the multiple questions performed, a process is being followed to get accurate results which are mentioned after the respective questions.

Addition is the process of joining two or more numbers to determine their total. The result of adding the numbers 3 and 4 is 3 + 4 = 7, for instance. Any sort of number, including whole integers, fractions, decimals, and even negative values, can be added to.

The process of subtracting involves calculating the difference between two numbers. For example, subtracting 4 from 7 yields 7 - 4 = 3. Any sort of number, including whole integers, fractions, decimals, and negative values, can be subtracted.

Multiplication is the process of combining two or more numbers to determine their product. The result of multiplying the numbers 3 and 4 is 3 * 4 = 12, for instance. such as addition. Any kind of number may be used for addition, subtraction, and multiplication.

The act of dividing two integers involves determining their quotient. For example, dividing 12 by 4 yields 12 / 4 = 3. Any sort of value could be divided, although some combinations of numbers, such dividing by zero, are not described as division.

How to solve?

1) 3 * (-6) * (7/12) which is -7.5. So, the answer is -18 and 7/120 or negative 18 and 7 over 120.

2) -3.8 + b - 18.4 ≥ 0

-22.2 + b >= 0

∵sum of a number and 18.4 is at least -3.8, we can say that b is greater than or equal to -22.2.

∴b + 18.4 ≥ −3.8.

3) (-3/3) - (6/4) = (-9/3) - (6/4)

(-9/3) - (6/4) = (-9/3) * (4/4) - (6/4) * (3/3)

= (-36/12) - (18/12)

(-36/12) - (18/12) = -54/12 = -9/2 = -4 and 1/2

The correct answer is negative 18 and one-half.

4) 37.50w = $300

w = 8

37.5w + 155.95 = 455.95; w = 8.

5) (-7/6) / (-17/5) = (-7/6) * (5/17)

= (-35/102)

(-35/102) / (35/35) = (-1/3) / 1

= -1/3

6)x/8 + 32 = -7

x/8 = -39

x = -8 * -39

x = 8 * 39

x = 312

7)x = 56

x = 7

x = −88

x = −24

8)= [(2 and one tenth)^5] / [(9 tenths)^4]^5

= [2^5 * (1/10)^5] / [9^4 * (1/10)^4]^5

= [2^5 * (1/10)^5] / [9^4 * (1/10)^4]^5

= 2^5 * (1/10)^5 / (9^4 * (1/10)^4)^5

= 2^5 * (1/10)^5 / 9^4 * (1/10)^4 * 5

= 2^5 * (1/10)^5 / 9^4 * (1/10)^4 * 5

= 2^5 / 10^5 / 9^4 / 10^4 * 5

= 2^5 / (10^5 * 9^4) / 10^4 * 5

= 2^5 / (10^5 * 9^4) / 10^4 * 5

= 32 / (10^9 * 6561) * 5

= 32 / (10^9 * 6561) * 5

= 32 / 65610000 * 5

= 32 / 65610000 * 5

= 32 / 3285050000

= 32 / 3285050000

= 0.0000977077

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The coordinates of the center, endpoints of major axis, endpoints of minor axis, and foci of the ellipse. is (2,-1+3√3) & (2,-1 -3√3).

Calculation:-

[tex]\sqrt{1-\frac{a^{2} }{b^{2} } } =\sqrt{1-\frac{9}{36} } =\sqrt{\frac{36-9}{36} }[/tex]

= [tex]\sqrt{\frac{27}{36} } = \frac{\sqrt{3} }{2}[/tex]

=( b,H ± be) = (2, -1 ± 6x [tex]\frac{\sqrt{3} }{2}[/tex])

(2,-1+3√3) & (2,-1 -3√3).

The long axis is called the major axis and the short axis is called the minor axis. Each major axis endpoint is an ellipse vertex, and each minor axis endpoint is an ellipse vertex. The center of the ellipse is the center of both the major and minor axes. The endpoints of the principal axis are called vertices.

The midpoint of focus is the center of the ellipse. The minor axis is a line segment perpendicular to the major axis, passing through the center, and having ellipses at both ends. Ellipse focal points are two reference points that help draw the ellipse. The foci of the ellipse are on the major axis of the ellipse, equidistant from the origin. An ellipse represents the location of a point that is a constant distance from two fixed points.

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Answer:

Explanation:

Here, we want to get the equation of the line

The general equation of a line in slope-intercept form is:

where m is the slope and b is the y-intercept

We can get the equation through the following:

where (x1,y1) is (0,2) and (x2,y2) is (2,-3)

Substituting the values, we have it that:

For conic section of the form:

The Ends of the Lactus Rectum is given as:

The e in the equation above is the Eccentricity of the Hyperbola.

This can be obtained by the formula:

Thus, comparing the standard form of the conic with the given equation, we have:

Then, we need to obtain the value of the Eccentiricity, e.

Hence, the coordinate of the ends of the each lactus rectum is:

Background:

• Even ,functions are symmetric with respect to the ,y-axis,.

• Odd ,functions are symmetric with respect to the origin.

• Neither ,has no symmetry with respect to the origin or ,y-axis,.

Answer: Even

ANswer:

From the bar diagram,

Number of people own rabbit as pet = 4

Number of people own dog as pet = 8

Number of people own cat as pet = 11

Number of people own goldfish as pet = 6

Number of people own hamster as pet = 5

So, the number of people surveyed about their favorite pets equals the sum of number of people own rabbit, dog, cat, goldfish or hamster as pet.

Number of people surveyed about their favorite pets

Hence 34 people surveyed about their favorite pets.

Option B is correct.

Answer:

LM = √34

Step-by-step explanation:

L is at (-7, 4), and M is at (-2, 1).

LM

[tex] \sqrt{ {( - 7 - ( - 2))}^{2} - {(4 - 1)}^{2} } [/tex]

[tex] \sqrt{ {( - 5)}^{2} + {3}^{2} } = \sqrt{25 + 9} = \sqrt{34} [/tex]

a) We can write the cost function (in function of the units made) as the sum of the fixed cost (2000) and the variable cost (25*x):

b) The revenue R(x) is:

To find the value of x that maximizes R(x) we derive R(x) and equal it to 0:

We can now calculate the maximum revenue as R(3000):

c) The profit function P(x) can be calculated as the difference between the revenue and the cost:

In the same way as we did in b), we can calculate the number of units x that maximize the profit by deriving P(x) and making it equal to 0:

The maximum profit can be then calculated as P(1750):

We can graph R(x) and P(x) as:

Answer:

a) C(x) = 2000 + 25x

b) x = 3000 units

R(3000) = $90000

c) x = 1750 units

P(1750) = $28625

The transformation of the equation [y = 4 - 1/2 √x + 3] is shown on the graph where the curve touched the x-axis on (61, 0).

To develop a graph is to make a diagram that depicts the relationship between two or more objects.

Make a sequence of bars on graph paper as an example of a graph.

Bar graphs, circle graphs, and line graphs are the three most often used types of graphs.

Different types of data can be displayed using different types of graphs.

So, plotting the equation on the graph as follows:

The equation: y = 4 - 1/2 √x + 3

Plot the equation on the graph:

(Refer to the graph attached below)

The curve touches the x-axis on the coordinate (61, 0).

Therefore, the transformation of the equation [y = 4 - 1/2 √x + 3] is shown on the graph where the curve touched the x-axis on (61, 0).

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Answer:

$11700

Step-by-step explanation:

comment if u need the explanantion ;D

slope-intercept form of a line (L1): y = mx + b; where m is the slope and b the y - intercept.

If two lines are parallel, that means the slope of both equations are equal.

L2: y = 3x - 7, m = 3

So, m for L1 is m = 3.

Now we just need to find y - intercept, as follows:

L1 passes through (0,4), then:

4 = 3(0) + b

4 = 0 + b

b = 4

The equation for the line is y = 3x + 4

Answer:

1. Given (angle PQR and angle XYZ are complimentary)

2. Definition of complimentary angles (Complimentary means they are added to 90 degrees)

3. Definition of Complimentary angles (Complimentary angles only include two angles)

4. Subtraction postulate (90 degrees - 10 degrees= 80 degrees which proves they are complimentary)

5. Complimentary angles theorem (angle XYZ is 80 degrees)

Sorry if that's too vague, but I really hope this helps you! I bet someone elses answer would clear it up better, so more research or finding a different answer would probably help, just to confirm. I tried to explain as much as I could, I'm not good at teaching what I know.

tan T = 8/8 = 1

tan ^-1 T = 45°

angle T = 45°

2) angle J = tan J = 2/4

tan J = 1/2

tan^-1 J = 26.57

rounded J = 26.6