M<1=(x+4) degrees and m <2=7x degrees find the angle measures

Answer:

Step-by-step explanation:

1. j

2. k

3. L

4. Lj

5. kL

6. jk

Answer:

\(y=6,850x - 13,456,500\)

Step-by-step explanation:

To find the linear model, we need to find a linear equation, where its slope is defined as

\(m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }\)

So, we use the given points (1970, 38000) and (1990, 175000), to find the slope

\(m=\frac{175,000-38,000}{1990-1970}=\frac{137,000}{20} =6,850\)

Now, we use the point-slope formula to find the equation

\(y-y_{1} =m(x-x_{1} )\\y-38000=6850(x-1970)\\y=6850x-13,494,500+38,000\\y=6,850x - 13,456,500\)

Therefore, the linear model is

\(y=6,850x - 13,456,500\)

The placement results provided, the student should start with Math 100.

The placement results indicate that the student has placements for Math 111, Math 100, and Math 102+. Math 111 typically corresponds to a higher-level course than Math 100, and Math 102+ implies a placement beyond Math 102.

To progress towards Math 103E, it is essential to follow the recommended course sequence. Usually, Math courses are designed to build upon previously learned concepts and skills. Starting with Math 100 would provide the foundational knowledge necessary to succeed in subsequent courses.

Therefore, the student should first start with Math 100, and upon successful completion, they can proceed to Math 103E. It is important for the student to consult with their academic advisor or the mathematics department at their institution for specific course placement and sequencing information to ensure they are following the appropriate path.

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Answer:

C. Australia and Antarctica were a single landmass in the past.

Step-by-step explanation:

The most likely explanation for why the fossils of this plant are found on these two continents is that Australia and Antarctica were a single landmass in the past.

This evidence is vastly supported by the theory of plate tectonics originally, the theory of continental drift.

Plate tectonics proposes that all land masses were once joined together as a single supercontinent called Pangaea.

The region of Antartica and Australia were once joined as a single continental mass.

The plant must have developed together at that time.

When the continents moved apart, they still had the fossils.

Answer:

The rate of change is 28.

Step-by-step explanation:

The equation is in slope-intercept form,  y = mx + b, where m is the slope, and b is the y-intercept.

Answer:

y⁸/x¹⁰

\( \\ \)

Step-by-step explanation:

\( \sf{\large{( \frac{ {x}^{ - 4}y }{ {x}^{ - 9} {y}^{5} } ) ^{2} }}\)

\( \large{ \sf{= \frac{ {x}^{ - 4 \times 2} {y}^{2} }{ {x}^{ - 9 \times 2} {y}^{5 \times 2} } }}\)

\( \large{ \sf{= \frac{ {x}^{ - 8} {y}^{2} }{ {x}^{ - 18} {y}^{10} } }}\)

\( \large{ \sf{ = {x}^{ - 8 - ( - 18)} {y}^{2 - 10} }}\)

\( \large{ \sf{ = {x}^{ - 8 + 18} {y}^{ - 8} }}\)

\( \large{ \sf{ = {x}^{10} {y}^{ - 8} }}\)

\( \large{ \sf{ = \frac{ {x}^{10} }{ {y}^{8} } }} \)

\( \large{ \sf{ = \frac{ {y}^{8} }{ {x}^{10} } }}\)

Answer:

  B)  2%

Step-by-step explanation:

The simple interest formula is ...

  I = Prt

Interest I is earned on principal P when it is invested at rate r for t years.

Filling in the given values, we can solve for r:

  200 = 2000r(5)

  200/10000 = r = 2/100 = 2%

The interest rate is 2%.

Answer:

2x

Step-by-step explanation:

The distance from the pole at which the cable is anchored is about 25 feet from the pole .

Given that a 35-foot cable is run from the top of the pole and anchored to the ground at a distance from the pole. The problem is to determine about how far away from the pole would it be anchored.

Let AB be the pole of length 40 feet, and CD be the 35-foot long cable anchored to the ground at D and attached to the top of the pole at C. Let E be the point on the ground at which the cable is taut and is anchored. The distance ED is to be determined.

we can see that ∆CDE is a right-angled triangle with ∠CED = 90°.

Using Pythagoras Theorem, we have:CD² = CE² + DE²35² = (40 - ED)² + DE² .

Simplifying the above equation

1225 = 1600 - 80ED + ED²

1225 - 1600 + 80ED - ED² = 0ED² - 80ED + 375 = 0

Factorizing the above quadratic equation

ED² - 25ED - 15ED + 375 = 0ED(ED - 25) - 15(ED - 25)

  = 0(ED - 15)(ED - 25) = 0So, ED = 15 ft or ED = 25 ft.

The negative value of ED is extraneous since it represents a point below the ground, which is not possible. Therefore, the distance from the pole at which the cable is anchored is about 25 feet from the pole.

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The selling price of the bicycle is equal to R1,102.

In Mathematics, profit can be defined as a measure of the amount of money generated when the selling price is deducted from the cost price of a good or service, which is usually provided by producers.

Mathematically, the amount of profit made from selling a bicycle can be calculated by using the following function:

Profit made = Cost price - Selling price

Making selling price the subject of formula, we have:

Selling price = Cost price - Profit made

Selling price = R1489 - R387.

Selling price = R1,102.

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The complete square form of - 3x² + 33 = 48x is [x + 8]² = 75

To do this, we add and subtract a constant term to the quadratic expression to make it a perfect square.

In this case, we use the formula x² + 2bx + b² = (x + b)² to rewrite the quadratic expression as a perfect square trinomial, and then we solved for the variable by isolating the squared term and taking the square root.

Here we have

- 3x² + 33 = 48x

Keep 'x' terms on one side and constant terms sides on another side

=> - 3x² - 48x = - 33

Divide by - 3 on both sides

=> -3(x² + 4x)/3 = - 33/3  

=> x² + 16x = 11      

Take half of the 'x' term and square it and add on both sides

=> x² + 2(8x) (x) + (8)² = 11 + (8)²  

Which is in the form of x² + 2bx + b² = (x + b)²

=> [x + 8]² = 75

Therefore,

The complete square form of - 3x² + 33 = 48x is [x + 8]² = 75

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Answer:

y(x)=6^(x)-3

Step-by-step explanation:

Let the exponential function be y(x) = ab^(x) but since the graph is translated 3 units down, y(x) = ab^(x)-3. Now, y(0)=-2=a*b^(0)-3. a=1. The equation is nearly complete but we need b, we can find it by using the point y(1)=3. y(x)=b^(x) - 3. y(1)=3=b-3, b=6. The equation of the function is y(x)=6^(x)-3

Answer:

I agree with the first one

The component form of the following vectors is Option A. V = (38.3, 32.1).

To find the component form of a vector given its magnitude and direction angle, we can use trigonometry.

The component form of a vector in two dimensions is represented as (x, y), where x is the horizontal component and y is the vertical component.

In this case, the magnitude of the vector is given as 50, and the direction angle θ is 50°. We can use this information to calculate the horizontal and vertical components.

The horizontal component (x) can be found using the formula x = magnitude * cos(θ), and the vertical component (y) can be found using y = magnitude * sin(θ).

Let's calculate the components:

x = 50 * cos(50°) ≈ 38.3

y = 50 * sin(50°) ≈ 32.1

Rounding the answers to the nearest tenth, we get the component form of the vector V as (38.3, 32.1).

Therefore, the correct answer is A. V = (38.3, 32.1).

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The question is incomplete. Find the full content below:

Find the component form of the following vectors. Round your answers to the tenth.

Magnitude of v = 50, direction angle θ = 50°

A. V = (38.3, 32.1)

B. V = (33.8, 31.2)

C. V = (32.1, 38.3)

D. V = (31.2, 33.8)

Answer:

Step-by-step explanation:

The sequence starts with 4 and each subsequent term is obtained by multiplying the previous term by -3. Therefore, the equation to describe the sequence is:

aₙ = 4(-3)^(n-1)

where aₙ represents the nth term in the sequence.

Using this equation, we can find the values of the first few terms in the sequence as follows:

a₁ = 4(-3)^(1-1) = 4(1) = 4

a₂ = 4(-3)^(2-1) = 4(-3) = -12

a₃ = 4(-3)^(3-1) = 4(9) = 36

and so on.

Note that the index n starts at 1, but in some contexts it may start at 0, in which case we would need to adjust the exponent accordingly.

Answer:

Exponential decay is represented by the equation:

y = a * e^(-bx)

where:

y is the final value

a is the initial value

b is the decay rate

x is the time variable

The exponential decay rate, b, can be found by taking the natural logarithm (ln) of both sides of the equation, then rearranging to isolate the decay rate:

ln(y/a) = -bx

b = -ln(y/a)/x

So, to find the exponential decay rate, you would need to know the initial value (a), the final value (y), and the time elapsed (x). Then, you can use the formula above to calculate the decay rate, b.

The expressions "1+b" and "1-b" are not sufficient to find the exponential decay rate, as they do not contain enough information about the specific scenario or data set.

if this helps, can you please mark my answer brainliest?

Answer:

Harry made 9 resolutions.

Step-by-step explanation:

Tim made x resolutions.

Harry made five more, x + 5.

Harry and Tim's together was 13.

x + x + 5 = 13

combine like terms.

2x + 5 = 13

subtract 5

2x = 8

divide by 2

x = 4

Tim made 4 resolutions.

Harry made 4 + 5, that is, 9 resolutions.

Check:

Harry and Tim together is 13.

4 + 9 = 13

Harry made 9 resolutions.

Answer:

A 3

Step-by-step explanation:

3 is a multiple of all of the numbers

Answer:

3

Step-by-step explanation:

3×7=21

3×8=24

3×15=45

3×10=30

3×14=42

3×20=60

3×28=84

The function values are f(10) = 198 and g(-6) = 24/7; the range of h(x) is 3/5 < h(x) < 31/25 and the inverse function is p-1(x) = -(1 + 3x)/(5 + x)

Given that

f(x) = 2x^2 - 2

g(x) = 4x/(x - 1)

So, we have

f(10) = 2(10)^2 - 2 = 198

g(-6) = 4(-6)/(-6 - 1) = 24/7

Here, we have

h(x) = (7x - 4)/5x

Where

1 < x < 5

So, we have

h(1) = (7(1) - 4)/5(1) = 3/5

h(5) = (7(5) - 4)/5(5) = 31/25

So the range is 3/5 < h(x) < 31/25

Here, we have

P(x) = (5x - 1)/(3 - x)

So, we have

x = (5y - 1)/(3 - y)

This gives

3x - xy = 5y - 1

So, we have

y(5 + x) = -1 - 3x

This gives

y = -(1 + 3x)/(5 + x)

So, the inverse function is p-1(x) = -(1 + 3x)/(5 + x)

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the value of variable x in the rhombus is Option (c) 25.

A parallelogram is a particular instance of a rhombus. opposite sides and angles of the rhombus are parallel and equal. The rhombus has equal-length sides on each side, and its diagonals meet at right angles to form its shape as square. The rhombus is sometimes called as a diamond or rhombus.

Let O be the intersection point of the line AC and the line BD in the rhombus.

This two lines intersect at a 90° angle in the center. ( Property of Rhombus)

∠AOD=90°

∠AOD+∠OAD+∠ODA=180° (triangle sum property)

90°+x+x+40°=180°

2x=180°-130°

x=25

Hence the value of x=25.

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Answer:

48/52

Step-by-step explanation:

Answer:

the answer is c. 1

Step-by-step explanation:

f(x)= -4x -5

f(-1)= -4(-1) -5

f(-1) =4 -5

f(-1)= -1

f(-1/-1) =-1/-1

f= 1

Answer:

sec²-2scθ+tanθ+tan²θ=1-sinθ/1+sinθ

sec²-2scθ+tanθ+tan²θ

= 1+sin²θ-2sinθ/cos²θ

=-1+sinθ/1+sinθ

=1-sinθ/sinθ+1

1-sinθ/sinθ+1=-1+sinθ/1+sinθ True

Answer:

search it up o the internet maybe

Step-by-step explanation:

Answer:

53 hours and 45 minutes

Step-by-step explanation:

since they open for 10 hours and 45 minutes a day.

10*5=50 hours, 45*5=225 minutes

add the minutes and hours together and it is 53 hours and 45 minutes

There are a total of 3 forwards on the team.

A fraction represents a part of the whole or group of objects.In a fraction, numerator and denominator are separated by a horizontal bar known as the fractional bar

Given:

2/8 of the players are forwards.

Total number of players on the team = 12

We will determine the total number of forwards on the team by multiplying the total number of players by the fraction representing the forwards.

Fraction representing the forwards:

= 2/8

= 1/4

Total forwards on the team:

= 12 * (1/4)

= 3.

Translated question:

Of the 12 players on the team, 2/8 are forwards. What are the total forward in the team?

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The amount more in income tax that Cho pays than Helen each month would be £56.

First, find Helen's yearly salary :

= 1, 720 x  12

= £ 20, 640

Both Cho's and Helen's annual salaries fall within the Basic rate tax bracket.

Cho 's monthly tax would be:

= (( 24, 000 - 12, 570 ) x 20 % ) / 12

= £ 190. 50

Helen's monthly tax :

= (( 20, 640 - 12, 570 ) x 20 % ) / 12

= £ 134.50

The difference is therefore :

= 190. 50 - 134.50

= £56

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