The measure of a base angle of an isosceles triangle is 13
more than 3 times the measure of the vertex angle. How
many degrees are in the vertex angie?

Answer:

Step-by-step explanation:

Answer:

3rd option

Step-by-step explanation:

Given the recursive formula with a₁ = - 3 and d = 10

The explicit formula for an arithmetic sequence is

\(a_{n}\) = a₁ + (n - 1)d , that is

\(a_{n}\) = - 3 + 10(n - 1) = - 3 + 10n - 10 = 10n - 13

Answer:

B

Step-by-step explanation:

Figure A

2(8*4 + 4*4 + 4*8)

160

Figure B

6*4^2

96

Answer:

8.7m

Step-by-step explanation:

[6.7]²+5.5}²

=[75.14]

√75.14m

=8.7m

Step-by-step explanation:

\( {(df)}^{2} = {(de)}^{2} + {(ef)}^{2} \\ = {6.7}^{2} + {5.5}^{2} \\ = 44.89 + 30.25 \\ = 75.14 \\ df = \sqrt{75.14} = 8.67m \\ thank \: you\)

To find f'(8) for the given function f(x) = 5x², we use the definition of the derivative. By evaluating the limit as h approaches 0 of [f(x+h) - f(x)]/h, we can determine the derivative at the specific point x = 8.

The derivative of a function represents its rate of change at a particular point. In this case, we are given f(x) = 5x² as the function. To find f'(8), we need to compute the limit of [f(x+h) - f(x)]/h as h approaches 0. Let's substitute x = 8 into the function to get f(8) = 5(8)² = 320. Now we can evaluate the limit as h approaches 0:

lim(h→0) [f(8+h) - f(8)]/h = lim(h→0) [5(8+h)² - 320]/h

Expanding the squared term and simplifying, we have:

lim(h→0) [5(64 + 16h + h²) - 320]/h = lim(h→0) [320 + 80h + 5h² - 320]/h

Canceling out the common terms, we obtain:

lim(h→0) (80h + 5h²)/h = lim(h→0) (80 + 5h)

Evaluating the limit as h approaches 0, we find:

lim(h→0) (80 + 5h) = 80

Therefore, f'(8) = 80. This means that at x = 8, the rate of change of the function f(x) = 5x² is equal to 80.

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Answer:

A

Step-by-step explanation:

I think, if im wrong im sorry

Answer & Step-by-step explanation:

(5√2 - 4√3)(5√2 - 4√3)

We can rewrite this equation into a more simpler form.

(5√2 - 4√3)²

Now, we multiply. When multiplying, its important we multiply each term instead of combining them together.

When you multiply a radical by itself, then the base number will be by itself as the product.

So......

(5)² = 25

(4)² = 16

(√2)² = 2

(√3)² = 3

So, now the equation looks like this..

(25 * 2) + (16 * 3)

Multiply the terms.

50 + 48

Add the numbers.

50 + 48 = 98

So, your answer will be answer choice D. The radical in choice D represents the radicals that are in the problem multiplied together.

Vector equation of the line tangent to the graph of r(t) at the point p0 on the curve r(t) = (3t - 1) i + 13t j + 4 k.

To find a vector equation of the line tangent to the graph of r(t) at the point P0 on the curve r(t) = (3t - 1) i + 13t j + 16 k, where P0 is given as (-1,4), we can use the following steps:

Step 1: Find the derivative of r(t) with respect to t:

r'(t) = 3 i + 13 j

Step 2: Evaluate the derivative at the point P0:

r'(-1) = 3 i + 13 j

Step 3: Use the point P0 and the vector r'(-1) to form the vector equation of the tangent line:

r(t) = P0 + r'(-1) t

where t is a scalar parameter.

Plugging in the values, we get:

r(t) = (-1)i + 4j + (3i + 13j)t

Simplifying, we get:

r(t) = (3t - 1) i + 13t j + 4 k

Therefore, the vector equation of the line tangent to the graph of r(t) at the point P0 on the curve

r(t) = (3t - 1) i + 13t j + 16 k  is

r(t) = (3t - 1) i + 13t j + 4 k.

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The required orders are Kara served 12.5 orders, Harry served 22.5 orders, and Erin served 50 orders.

An equation that holds true for one or more values of the variable but holds false for other values of the variable is known as a conditional equation. In Hannah's example, the equation holds true for the value of x equal to 10, but not for other values, such as 1. The equation is a conditional equation as a result.

Let we consider the number of orders Kara served as x.

Then, Harry served x + 10 orders and Erin served 4x orders.

The total number of orders they served is x + x + 10 + 4x = 86 orders.

So, 6x + 10 = 86

6x = 76

x = 12.5

Kara served 12.5 orders, Harry served 22.5 orders, and Erin served 50 orders.

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Answer:

Step-by-step explanation:

Let the orders served by Kira be k.

Orders served by Henry= 10 less than Kira

                                       = k-10

Orders served by Erin= 4 times of Kira

                                   = 4k

Total orders served= 86

     Kira+Henry+Erin= 86

               k+k-10+4k= 86

                       6k-10= 86

                            6k= 86+10

                            6k= 96

                              k= 96/6

                              k= 16

Kira= k= 16

Henry= k-10= 16-10= 6

Erin= 4k= 4x16= 64

∴ Kira served 16 orders, Henry served 6 orders & Erin served 64 orders

Answer:

yo add me on intagram Its_yo-Boy_Jonathan65

Step-by-step explanation:

Answer:

c=836

Step-by-step explanation:

=, c=430+ 406

c=836

Answer:

x+ 51+41=180°

X= 180-92

x= 88

Thus this is your answer.

Answer:

H < I < J

Step-by-step explanation:

H + I + J = 180

41 + 51 + J = 180

92 + J = 180

J = 88

Answer:

118

Step-by-step explanation:

The key piece of information to focus on is that there are around 120 fruits. 15 is the biggest of the given divisors, and the gaps between multiples of 15 is the greatest (compared to 4 and 6) which will narrow down our options. Therefore we can first try approaching the problem by finding multiples of 15 that are close to 120.

The question says that when the number (let's call it A) is divided by 15, it leaves 13. Therefore we can express A as such:

A-13 = 15x OR 15x + 13 = A

Where 'x' represents a whole number showing that the number is divisible by 15.

The closest multiples of 15 to 120 are 105 (15*7), 120 (15*8), and 135 (15*9).

A is one of these numbers + 13, let's see which ones are closest:

105+13 = 118, 120+13 = 133, 135+13 = 148

118 is very close to 120, so let's check it with the other numbers:

118/4 = 29 r 2

118/6 = 19 r 4

The exact number of fruits is 118.

Hope this helped!

Answer:

118

Step-by-step explanation:

We are told that there are about 120 fruits.

Fruits divided equally among 4 students

Multiples of 4:  4, 8, 12, ... 112, 116, 120, 124, ...

Therefore, 116, 120 and 124 are closest to 120.

Add the given remainder of 2 to these numbers:

Fruits divided equally among 6 students

Multiples of 6:  6, 12, 18, ... 108, 114, 120, 126 ...

Therefore, 114, 120 and 126 are closest to 120.

Add the given remainder of 4 to these numbers:

Fruits divided equally among 15 students

Multiples of 15:  15, 30, 45, ... 105, 120, 135, ...

Therefore, 105, 120 and 135 are closest to 120.

Add the given remainder of 13 to these numbers:

Therefore, as the total of 118 fruits is common to all three groups the exact number of fruits is 118.

Check

Divide 118 by each group of students:

As the remainders concur with the given amount of fruit left over for each group of students, this verifies that the exact number of fruits is 118.

Answer:

B. How many hours does each employee work in a week?

Step-by-step explanation:

A statistical question is one that has a variable answer.

The answers to the question, "How many hours does each employee work in a week?" vary by employee, so it is a statistical question.

I hope i helped

Answer:

4x - 5y = 10

Step-by-step explanation:

We can use the point-slope form to find the line equation:

\( \displaystyle{y - y_1 = m(x - x_1)}\)

Where (x1,y1) is the point that the line intersects and m is slope. We know the line passes through (-5,-6) and the slope is parallel to the line 4x - 5y = 35. Meaning the slope of that line is equal to slope of 4x - 5y = 35.

In this equation form Ax + By = C, we can find slope by m = - A/B. Therefore, m = -4/-5 which equals to 4/5. Hence, the slope is 4/5

\( \displaystyle{y - y_1 = \dfrac{4}{5}(x - x_1)}\)

And also it intersects the point (-5,-6). Therefore:

\( \displaystyle{y - ( - 6) = \dfrac{4}{5}(x - ( - 5))} \\ \\ \displaystyle{y + 6 = \dfrac{4}{5}(x + 5)}\)

Then convert to Ax + By = C to match with the given equation in problem:

\( \displaystyle{5(y + 6 )= 5 \left(\dfrac{4}{5}(x + 5) \right)} \\ \\ \displaystyle{5y + 30 = 4(x + 5)} \\ \\ \displaystyle{5y + 30 = 4x + 20} \\ \\ \displaystyle{ \therefore 4x - 5y = 10}\)

The linear equation with slope 1 and y-intercept -7 is y = x - 7.

The slope and y-intercept of y = -3x are -3 and 0 respectively.

The slope and y-intercept of 2x + 5y = 20 are -2/5 and 4 respectively.

The slope and y-intercept of x -2y = 2 are 1/2 and -1 respectively.

A straight line on the coordinate plane is represented by a linear function.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

The slope y-intercept form of a linear equation is given as y = mx + c where m is the slope while c is the y-intercept.

06)

As per the given,

Slope m = 1

y-intercept = -7

So, y = (1)x - 7

y = x - 7.

Hence "The linear equation with slope 1 and y-intercept -7 is y = x - 7".

07)

As per the given equation,y = -3x

Compare with y = mx + c.

Slope m = -3 and y-intercept = 0.

Hence "The slope and y-intercept of y = -3x are -3 and 0 respectively".

08)

As per the given equation,2x + 5y = 20

5y = 20 - 2x

y = (-2/5)x + 4

Compare with y = mx + c.

Slope m = -2/5 and y-intercept = 4.

Hence "The slope and y-intercept of 2x + 5y = 20 are -2/5 and 4 respectively".

09)

As per the given equation,x -2y = 2

x - 2 = 2y

y = (1/2)x - 1

Compare with y = mx + c.

Slope m = 1/2 and y-intercept = -1.

Hence "The slope and y-intercept of x -2y = 2 are 1/2 and -1 respectively.".

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Answer: Choice C)  {6, 9, 12}

=======================================================

Explanation:

Something like choice A can't form a triangle because the first two sides add to 6+9 = 15, which is not longer than the third side 15. We need to have x+y > z to be true. The same goes for choice B as well because 3+3 = 6 is too small compared to the third side 7. Choice D is similar to choice A.

In short, we can rule out choices A, B, and D.

The only thing left is choice C. Picking any two sides leads to having that sum be larger than the third side

So the conditions of the triangle inequality theorem work out here, and we have a triangle.

The cheetah can travel 74.6 miles in 1 hour at its top speed.

To determine how far a cheetah can travel in 1 hour, we need to use the information provided and make some calculations.

First, we know that the cheetah can travel at its top speed for 1.5 hours, covering a distance of 111.9 miles. This means that we can calculate the cheetah's average speed during this time as follows:

Average speed = Distance covered / Time taken

Plugging in the values, we get:-

Average speed = 111.9 miles / 1.5 hours = 74.6 miles/hour

This means that the cheetah can run at an average speed of 74.6 miles per hour.

Now, to determine how far the cheetah can travel in 1 hour, we can use the formula:

Distance = Speed x Time

Plugging in the values, we get:-

Distance = 74.6 miles/hour x 1 hour = 74.6 miles

Therefore, the cheetah can travel 74.6 miles in 1 hour at its top speed.

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The number of possible sets of heads and tails that have 2 heads is 11.

Given,

There is one coin and it is flipped five times.

First, we have to list out the outcome when we toss the coin five times.

(HHHHH), (HHHHT), (HHHTT), (HHTTT), (HTTTT), (TTTTT), (TTTTH), (TTTHH), (TTHHH), (THHHH), (THTHT), (HTHTH), (THHTT), (THHHT), (HTTTH), (HTTHH), (HTHHH), (THTTT), (TTHTH), (TTTHT), (TTHHT), (HHTHH), (TTHTT), (HHTTH), (HHTHT), (HTHTT), (THTHH), (THTTH), (HTHHT), (HHHTH)

Now, we can list out the possible sets with 2 heads.

(HHTTT), (TTTHH), (THTHT), (HTTHT), (HTTTH), (THHTT), (TTHHT), (TTHTH), (HTHTT), (THTTH), (HTHTT)

So, the number of possible sets of heads and tails that have 2 heads is 11.

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Answer:

-7/3

Step-by-step explanation:

The first step is to combine like numbers. Although there are several different ways to go about doing this, I started by adding 2y to both sides which left me with -8-6y=6. I then added 8 to both sides and got 6y=14. Now divide 6 on both sides to get "y" by itself which left me with y = -14/6. When you simplify the answer you get -7/3.

The plan that is most useful for demonstrating a new technology or service or to reach a market that is widely spread out is a proof-of-concept website

The statement about the market section of the classic business plan that is not true is that some people prefer to relocate the competition and competitive advantage section from the market section to the industry section.

A critical risk to the success of your business plan is Overlooked competition.

The pitch deck categories that is sometimes given in the form of a user's experience is Problem slide.

There are two goals you can seek in the "ask" of your elevator pitch. One is to build your network and the other is to get the listener to Make a micro-commitment

A good marketing strategy is most likely to focus on the longer-term competitive plan.

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The total change in the consumed quantity of x₁ as per given price and income  is equal to 213.

x₁ = (21/7)P₁

x₂ = (51/7)P₂

P₁ = 10

P₂ = 5

P₁' = 81

To calculate the total change in the quantity consumed of x₁ when the price of P₁ changes from P₁ to P₁',

The difference between the quantities consumed at the original price and the new price.

Let's calculate the quantity consumed at the original price,

x₁ orig

= (21/7)P₁

= (21/7) × 10

= 30

x₂ orig

= (51/7)P₂

= (51/7) × 5

= 36.4286 (approximated to 4 decimal places)

Now, let's calculate the quantity consumed at the new price,

x₁ new

= (21/7)P1'

= (21/7) × 81

= 243

x₂ new

= (51/7)P2

= (51/7) × 5

= 36.4286

The total change in the quantity consumed of x₁ can be calculated as the difference between the new quantity and the original quantity,

Change in x₁

= x₁ new - x₁ original

= 243 - 30

= 213

Therefore, the total change in the quantity consumed of x₁ is 213.

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The above question is incomplete, the complete question is:

The optimal amount of x1, x2, P1, P2 and income are given by the following:

x1= 21/ 7p1 x2= 51 / 7p2

The original prices are: P1=10 P2=5 The original income is: I =4189 The new price of P1 is the following: P1'=81 Assume that the price of x1 has changed from P1 to P1'. What is the total change in the quantity consumed of x1?

Please answer step by step

The answers that describe the quadrilateral DEFG area rectangle and parallelogram.

The correct answer choice is option A and B.

A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.

Quadrilateral DEFG

if line DE || FG,

line EF // GD,

DF = EG and

diagonals DF and EG are perpendicular,

then, the quadrilateral is a parallelogram

Hence, the quadrilateral DEFG is a rectangle and parallelogram.

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Answer:

Step-by-step explanation:

I think your teacher meant to say Reflexive property instead of reflection. The reflexive property is the idea that any segment is the same length as itself. It seems like a trivial idea, but it's useful to be able to pull triangles apart like in this problem here.

Note: when naming a segment, the order of the endpoints listed doesn't matter. So that's why EU is the same as UE.

Answer:

red cuz its an odd number so every even number row is blue

Step-by-step explanation:

The color of 35th row in the football stadium is blue color.

A recurring arrangement of numbers, forms, colors, and other elements constitutes a pattern in mathematics. The Pattern can be connected to any kind of occasion or thing. When a group of numbers are arranged in a particular way, the arrangement is referred to as a pattern. Patterns can also occasionally be referred to as a series.

Given that, workers are installing new seats in the football stadium with the team colors.

Here, the pattern is starting with the first row, every sixth row of seats is red. The other rows are blue.

So, 6th row, 12th row, 18th row and so on....

We understood that, red seat are even rows and remaining are blue seat rows

Here, 35th row is blue in color

Therefore, the color of 35th row in the football stadium is blue color.

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The distance between two trains is 224 miles.

The speed of one train is 75 miles per hour and the speed of the second train is 85 miles per hour.

The train is moving towards each other. So the relative speed of the train is,

So the distance between trains 224 miles is covered at the speed of 160 miles per hour.

Determine the time after which trains meet each other.

So two trains meet after 1.4 hours.

-6x+35 = -6x+35 has the same thing on each side: , so this has infinite solutions. Option c is correct.

An equation will have infinite solutions if both sides of the equal sign are the exact same thing, for instance . (You can test this with any value of x and find that they all work!)

So to find the equations that have infinite solutions, we need to see which have the same exact sides.

(Choice A)

-6x+35 = -6x-35 have the different thing on each side: , so this has no solution.

(Choice B)

6x+35  = -6x-35 does not have the same thing on each side, so it doesn’t have infinite solutions (it has 1).

(Choice C)

-6x+35 = -6x+35 has the same thing on each side: , so this has infinite solutions.

(Choice D)

6x+35=-6x+35 And finally,  has the different thing on each side: , so it has one solution.

Hence , -6x+35 = -6x+35 has the same thing on each side: , so this has infinite solutions.

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