⚠️URGENT⚠️


What is the relationship between Za and Zb?
A vertical angle
B complementary angle
C supplementary angle
D none of the above

Answer:

B.   3,158

Step-by-step explanation:

h(x) = -49x − 125

Let x = -67

h(-67) = -49(-67) − 125

          =3283-125

          = 3158

Answer:

Answer B

Step-by-step explanation:

To find the value of h(-67) for the function h(x) = -49x - 125,

we substitute -67 for x in the function and evaluate it.

h ( - 67 ) = - 49 ( - 67 ) - 125

Now we can simplify the expression:

h ( -67 ) = 3283 - 125

h ( -67 ) = 3158

There are 11,838,890 ways to arrange 7 elves and 5 goblins in a row without any goblins standing next to each other.

This can be calculated using the formula for combinations, n!/(r!(n-r)!), where n is the total number of elves and goblins (12) and r is the number of goblins (5). The calculation is written as 12!/(5!(12-5)!) = 11,838,890.

To illustrate, one possible arrangement is EE EG EEG EEG EGEE EG. Here, E stands for elf and G stands for a goblin. The arrangement starts with two elves, followed by an elf and a goblin, followed by three elves, followed by an elf and a goblin, followed by two elves, and finally ending with an elf.

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Answer:

V = \(\frac{7}{8}\) units³

Step-by-step explanation:

the volume (V) of the prism is calculated as

V = Ah ( A is the area of the base and h the height ) , then

V = \(\frac{1}{2}\) × 1 \(\frac{3}{4}\) ( change mixed number to improper fraction )

   = \(\frac{1}{2}\) × \(\frac{7}{4}\)

   = \(\frac{1(7)}{2(4)}\)

   = \(\frac{7}{8}\) units³

Answer:

2.19

Step-by-step explanation:

Answer:

1) The first equation of the system is y = 2·x + 3

2) The second equation of the system is y = 3·x - 1

3) The solution of the system is (4, 11)

Step-by-step explanation:

1) From the coordinates of the first table, we have;

The points of the y-coordinate have a common difference of two

The rate of change of the function using the first and the last point is given as follows;

Rate of change = Slope, m = (7 - 1)/(2 - (-1)) = 2

The, equation of the line in point and slope form is, y - 7 = 2 × (x - 2)

∴ The equation of the line in slope and intercept form is y = 2·x + 3

Therefore, the first equation of the system is y = 2·x + 3

2) Similarly from the coordinates of the second table, we have;

The points of the y-coordinate have a common difference of six

The rate of change of the function using the first and the last point is given as follows;

Rate of change = Slope, m = (11 - (-7))/(4 - (-2)) = 3

The, equation of the line in point and slope form is, y - 11 = 3 × (x - 4)

∴ The equation of the line in slope and intercept form is y = 3·x - 1

Therefore, the second equation of the system is y = 3·x - 1

3) Equating both equations in the system of equations to find a common solution gives;

2·x + 3 = 3·x - 1

∴ x = 4

From y = 3·x - 1  or y = 2·x + 3, we have the value of y at the solution point as  y = 3 × 4 - 1 = 11 or 2 × 4 + 3 = 11

∴ y = 11 at point of the common solution of the system of equations

Therefore, the coordinates of the common point which is the solution of the system is (4, 11).

Answer:

Select the correct answer from each drop-down menu.

A system of linear equations is given by the tables.

x y

-1 1

0 3

1 5

2 7

x y

-2 -7

0 -1

2 5

4 11

The first equation of this system is y =

2

x + 3.

The second equation of this system is y = 3x −

1

.

The solution of the system is (

4

,

11

).

Step-by-step explanation:

Answer:

AA similarity

Step-by-step explanation:

Similar triangles are the triangles that have corresponding sides in proportion to each other and corresponding angles are equal.

Similar triangles can be proved by any one of the rules, given below.

1) AA similarity

2) SAS similarity

3) SSS similarity

A represent angle and S denotes side.

  In ΔABC & ΔPQR,

                ∠A = ∠P           {Both the angles are marked by double curves}

                ∠B = ∠Q           {Both the angles are marked by single curve}

ΔABC ~ ΔPQR by AA similarity

Answer:4a = 2⋅(2a)⋅1 4 a = 2 ⋅ ( 2 a) ⋅ 1

Step-by-step explanation:

Factor 4a^2-4a+1. 4a2 − 4a + 1 4 a 2 - 4 a + 1. Rewrite 4a2 4 a 2 as (2a)2 ( 2 a) 2. (2a)2 − 4a+1 ( 2 a) 2 - 4 a + 1. Rewrite 1 1 as 12 1 2. (2a)2 − 4a+12 ( 2 a) 2 - 4 a + 1 2. Check that the middle term is two times the product of the numbers being squared in the first term and third term. 4a = 2⋅(2a)⋅1 4 a = 2 ⋅ ( 2 a) ⋅ 1.

Greetings from Brasil...

The solution to this problem will be to add all the quantities of juice he used to make the punch. Note that all volume units must be the same (we cannot add liters to milliliters. Only liters to liters and milliliters to milliliters). We will work with milliliters

 tropical drink = 3,500mL

       ginger ale = 3,095mL

pineapple juice = 1,600mL        

                  total = 3,500 + 3,095 + 1,600

(or 8.195L)

Answer:

I think the answer could be C

Step-by-step explanation:

Sorry if im wrong

Answer:

92 inches

Step-by-step explanation:

When a tire's size = P220/65 R 18, it means that:

the total diameter of the tire = 5.65 + 18 + 5.65 = 29.3 inches

the circumference = 2 x π x radius   or   diameter x π = 29.3 x 3.141592 = 92 inches

Answer:

Step-by-step explanation:

\( \frac{3}{2} + \frac{x}{3} = \frac{11}{6} \)

\( \frac{x}{3} = \frac{11}{6} - \frac{3}{2} \)

\( \frac{x}{3} = \frac{11 - 3 \times 3}{6} \)

\( \frac{x}{3} = \frac{11 - 9}{6} \)

\( \frac{x}{3} = \frac{2}{6} \)

\( \frac{x}{3} = \frac{1}{3} \)

\(x = \frac{3 \times 1}{3} \)

\(x = 1\)

Answer:

x = 1

Step-by-step explanation:

3/ 2 + x/ 3 = 11/ 6

taking LCM

(9 + 2x)/ 6 = 11/ 6

multpiying both sides by 6

9 + 2x = 11

subtracting btih sides by 9

2x = 11 - 9

2x = 2

dividing both by 2

x = 1

To find the consumer's and producer's surplus, we need more information about the demand and supply functions or the market equilibrium.

You provided the demand function D(x) = 25, but we require additional details to proceed with the calculations. The consumer's surplus is the difference between the maximum price consumers are willing to pay and the price they actually pay. It represents the benefit or surplus gained by consumers in a market transaction.

The producer's surplus is the difference between the minimum price producers are willing to accept and the price they actually receive. It represents the benefit or surplus gained by producers in a market transaction.

To calculate these surpluses, we typically need information about the supply function, equilibrium price, and equilibrium quantity. These values help determine the areas of the consumer's and producer's surpluses on the supply-demand graph.

Please provide the necessary information about the supply function, equilibrium price, or any other relevant details so that I can assist you in calculating the consumer's and producer's surplus accurately.

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Answer:

less than 3

9/4

Step-by-step explanation:

Answer:

less than 3

9/4

Step-by-step explanation:

boom!!!

Answer:

x = 15.75

Step-by-step explanation:

I'm going to assume you mean solve for x so:

\(\frac{9}{x} =\frac{32}{56} \\\\32x=504\\x=15.75\)

Answer:

pi r^2

Step-by-step explanation:

Take the radius and square it (multiply it by itself) and then multiply by pi (3.14)

Answer:

A = πr²

Step-by-step explanation:

The area of a circle is equal to A = πr²

π = 3.14159 ...

       -> it is a value that goes on forever, most calculators will have a button for this, it is called "Pi" or "π"

r = the radius

       -> this is the distance of half the width of the circle. You can see the parts of a circle attached

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Given the following?

a1 = 28

a2 = 21

a3 = 14

a4 = 7

We are asked to find the formula for the nth term in above arthmetic sequence.

Generally the nth term of an arithmetic sequence is:

an = a1 + (n - 1)d

Where:

a1 is the first term

d is the common difference.

Lets find the common difference, d:

d = a2 - a1 = a3 - a2

d = 21 - 28 = 14 - 21

d = -7 = -7

d = -7

So,

an = a1 + (n - 1)d

an = 28 + (n - 1)-7

an = 28 -7n + 7

an = -7n + 28

Answer:

2/5

Step-by-step explanation:

We can represent the probability that the spinner lands on purple as:

\(\dfrac{\# \text{ purple spins}}{\#\text{ total spins}}\)

\(=\dfrac{80}{40 + 80 + 80}\)

\(= \dfrac{80}{200}\)

\(\boxed{=\dfrac{2}{5}}\)

So, the probability of this spinner landing on purple is 2/5.

The area enclosed by the curve x = t^2 − 3t, y = √t and the y-axis is 2.08 square units.

We have been given parametric equations x = t^2 − 3t, y = √t

We need to find the area enclosed by the curve x = t^2 − 3t, y = √t and the y-axis.

Consider x = 0

So, t^2 − 3t =  0

t(t - 3) = 0

t = 0   or  t = 3

Let f(t) =  t^2 − 3t and g(t) = t

Differentiate the curve f(t) with respect to t.

f'(t) = 2t - 3

NWe know that the formula to find the area under the curve.

A = ∫[a to b] g(t)f'(t) dt

here, a = 0 and b = 3

so, A = ∫[0 to 3] √t (2t - 3) dt

A = ∫[0 to 3] (2t√t - 3√t) dt

A = ∫[0 to 3] (2t^(3/2) - 3t^(1/2)) dt

A = [4/5 t^(5/2) - 2 t^(3/2)]_[t = 0, t = 3]

A = 4/5 3^(5/2) - 2 3^(3/2) - 0 + 0

A = 4/5 3^(5/2) - 2 3^(3/2)

A = 6√3 /5

A = 2.08

Therefore,  the area of the curve is 2.08 square units.

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Answer:

a. yes

b. no

c. yes

d. yes

e. yes

f. no

Step-by-step explanation:

a regular polygon must be equiangular (all angles are same) and equilateral (all sides are same)

A. equilateral triangle, regular

B. is a rectangle and the sides of rectangle are not all equal, thus, not regular

C. octagon, regular

D. flipped pentagon, regular

E. square, regular

F. not normal pentagon, not regular

Answer:

a. yes  

b. no  

c. yes  

d. yes  

e. yes  

f. no

Step-by-step explanation:

a regular polygon must be equiangular (all angles are same) and equilateral (all sides are same)

A. equilateral triangle, regular

B. is a rectangle and the sides of rectangle are not all equal, thus, not regular

C. octagon, regular

D. flipped pentagon, regular

E. square, regular

F. not normal pentagon, not regular

Answer:

D

Step-by-step explanation:

Firstly, the question is phrased very very badly as the four answers provided are coordinate points rather than how far apart the cities are in units.

To calculate the distance between two points, we have to use Pythagoras' Theorem as it's just pretty much a right-angle triangle. Please look at the (terribly drawn) image provided.

Keep in mind that these points are only roughly placed on the map.

But firstly, to use Pythagoras' Theorem (a^2 + b^2 = c^2), we must find the length of the two sides.

To find the length of the horizontal line (which from now on I'll refer to as 'a'), we must subtract the smaller x value from the larger one.

47 - 35 = 12

To find the length of the vertical line (which from now on I'll refer to as 'b'), we must subtract the smaller y value from the larger one.

122 - 78 = 44

I assume that the answer you should pick is D. (12, 44)

However, that doesn't exactly answer the question... it's worded a little weirdly.

To solve the rest of the equation, do the following:

Now that we know that the length of a = 12 and the length of b = 44, we can use Pythagoras' Theorem.

a^2 + b^2 = c^2

12^2 + 44^2 = c^2

144 + 1936 = c^2

2080 = c^2

c = \(\sqrt{2080}\)

c = 45.61

The answer is 45.61 units.

Answer:

(x + 6)(x + 7)

Step-by-step explanation:

To factor the trinomial x^2 + 13x + 42, we need to find two numbers that multiply to 42 and add up to 13.

One way to do this is to list all the pairs of factors of 42 and see which pair adds up to 13:

1, 42 -> 1 + 42 = 43

2, 21 -> 2 + 21 = 23

3, 14 -> 3 + 14 = 17

6, 7 -> 6 + 7 = 13

So the pair of factors that we want is 6 and 7. We can use these numbers to rewrite the middle term of the trinomial:

x^2 + 13x + 42 = x^2 + 6x + 7x + 42

Next, we can group the first two terms and the last two terms:

x^2 + 6x + 7x + 42 = (x^2 + 6x) + (7x + 42)

Now, we can factor out the greatest common factor from each group:

x(x + 6) + 7(x + 6)

Notice that we have a common factor of (x + 6) in both terms. We can factor this out:

(x + 6)(x + 7)

Answer: Mulan= Shan yu

Kuzko= Yzma

Hercules= hades

Step-by-step explanation:

Answer: you didnt post graphs to look at

Step-by-step explanation:

The sample mean and sample standard deviation provide valuable information about a set of data, but they should be used with caution when making inferences about the population. It is important to use statistical methods to determine the reliability of these estimates and to account for sources of variability in the data.

Firstly, the sample mean is a measure of central tendency that represents the average value of a set of data. In this case, the sample mean of 290 rooms occupied per day is the sum of the number of rooms occupied each day over the 25-day period divided by the total number of days. It is important to note that the sample mean is only representative of the specific sample of 25 days and may not accurately reflect the population mean.

Secondly, the sample standard deviation is a measure of dispersion that indicates how spread out the data is from the mean. A smaller standard deviation means that the data points are closer to the mean, while a larger standard deviation means that the data points are more spread out. In this case, the sample standard deviation of 20 rooms indicates that there is some variability in the number of rooms occupied each day.

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The amount of money more that Key Club still need to earn in order to have reached their target is  $ 382. 50

To find the amount of money needed  by Kay Club to get to their target, first, find the amount of money earned from the bake sale :

= 2 / 5 x Target amount

= 2 / 5 x 1, 700

= $ 680

Then, they did a good sale and earned 3 / 8 of the amount :

= 3 / 8 x 1, 700

= $ 637. 50

The amount of money that Key Club still needs is:

= Total amount - amount raised

= 1, 700 - 680 - 637. 50

= $ 382. 50

In conclusion. Key Club would still need to engage in other activities to be able to reach their goal of $ 1, 700 as they have to raise $ 382. 50.

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Answer:

i wonder why

Step-by-step explanation:

Answer:

Step-by-step explanation:

The probability of getting one even and one odd is the sum of probability of getting even and of getting odd and even. Since there are 3 even or odd on each die out of six numbers you have

P(EO)(3/6)(3/6)=1/4 and P(OE)=(3/6)(3/6)=1/4 so 1/4+1/4= 1/2

or you can find the probability of getting two odds or two evens and subtract that from 1

P(EE)=(3/6)(3/6)=1/4, P(OO)=(3/6)(3/6)=1/4

P(EO)=1-1/4-1/4=1/2

These are the true sentences that can be constructed using the symbols:

Increasing function:

If for all x in the open interval containing x₁ and x₂ such that x₁ < x < x₂, then f(x₁) < f(x).

Decreasing function:

If for all x in the open interval containing x₁ and x₂ such that x₁ < x < x₂, then f(x₁) > f(x).

Constant function:

If for all x in the open interval containing x₁ and x₂, then f(x₁) = f(x).

These symbols can be used in constructing true sentences:

Increasing function:

x₁ < x₂ and f(x₁) < f(x₂)

x₁ < x₂ and f(x₁) ≤ f(x₂)

x₁ < x₂ and f(x) < f(x₂) for all x in the open interval containing x₁ and x₂

Decreasing function:

x₁ < x₂ and f(x₁) > f(x₂)

x₁ < x₂ and f(x₁) ≥ f(x₂)

x₁ < x₂ and f(x) > f(x₂) for all x in the open interval containing x₁ and x₂

Constant function:

f(x₁) = f(x₂)

f(x) = f(x₁) for all x in the open interval containing x₁ and x₂

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