x 5 10 15 20 y 21 26 31 36 An equation is y =

Answer:

8y

Step-by-step explanation:

Answer:

  A = 90°

  B = 37°

  C = 53°

Step-by-step explanation:

Given three sides of a triangle, the Law of Cosines can be used to find the angles.

__

For angle A (the largest), we can use ...

  a² = b² +c² -2bc·cos(A)

Solving for A, we get ...

  A = arccos((b² +c² -a²)/(2bc)) = arccos((3² +4² -5²)/(2·3·4)) = arccos(0)

  A = 90°

We can use a similar equation for angle B:

  B = arccos((a² +c² -b²)/(2ac)) = arccos((25 +16 -9)/(2·5.4)) = arccos(4/5)

  B ≈ 37°

The sum of angles is 180°, so ...

  C = 180° -90° -37°

  C = 53°

Answer:

12 times

Step-by-step explanation:

first, find out how much she makes weekly.

40 (hours per week she works * 30 ($ she will earn per hour)

40 * 30 = 1200 per week

for 52 weeks so multiply that by her weekly pay

multiply her weekly pay (1200) by the weeks she works annually (52)

52 * 1200 = 62,400

she makes just $62,400 (annually, before taxes) with her new employer

subtract how much more money she needs

62,400 - 63,300 = -900

she needs 900 dollars

divide by the money she makes on weekends (for dog sitting)

900/75 = 12

she will need to dog sit at least 12 times to make approx. $63,300 annually, before taxes.

hope this helps:)

As no table mentioned it can't be told which city accurately but you can find it by below precedence.

Find the city having temperature 10°F , that's the answer

Answer:

a

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

3(25-(12))=39

3(13)=39

39=39

[tex]\huge\underline\mathsf \colorbox{cyan}{-1/2}[/tex]

Step-by-step explanation:

Answer: y = 5x-3

Step-by-step explanation: Using y = mx+b, where m is the slope, and b is the y intercept, you just plug in 5 and -3.

Answer:

0

Step-by-step explanation:

slope = y2-y1/x2-x1

X1= 3 y1= -2

X2 = 9 y2= -2

slope= -2--2/9-3

slope= -2+2/6

slope= 0/6

slope= 0

Answer:

2x=x+30 [vertically opposite angle]

or,2x-x=30

:.x=30

Answer:

2x = x+30

2x - x = 30

X = 30

And goodluck

One Opposite side pair of a trapezoid has equal length

A is true

<J is supplement to <K

JK and LM are not paralle

<J is congruent to <M may be true

May not be

Answer:

A.  [tex]\sf \overline{KL}[/tex] is parallel to [tex]\sf \overline{JM}[/tex]

D.  ∠J is supplementary to ∠K

Step-by-step explanation:

Properties of a trapezoid:

Although the sides of the shape do not have any arrows to indicate that any are parallel, we know that a trapezoid has one pair of parallel sides, so:

When two angles sum to 180° they are called supplementary angles.

As the two angles that are on the same leg sum to 180° then:

Answer:

See below ~

Step-by-step explanation:

Problem 9

Problem 10

Answer: h'(1)=6/5

-1.5

Step-by-step explanation:

Answer:

45 cubic units

Step-by-step explanation:

Vtotal = 1/2 (2.5*3) * 6 *2

where

2.5 is the base

3 is the height

6 is the length

2 is the number of prisms

Answer:

The correct answer is 90 cubic units which is Option A.

Hope this helps you!!

Please Mark me Brainleast friend!!

-2.15

-2.154 should be your answer!! have a blessed day x

Answer:

Option B {1,3,4,5}

Step-by-step explanation:

The domain of the function is nothing but the input of the given function

Therefore the domain of given function is

{1,3,4,5} Option B

He had bank fees $15 that were not in his check register.

The correct option is (B)

Balancing statement is a final statement of your income tax liability for a tax year. It is issued by Revenue when your income tax liability has been reviewed and it shows: your total income from all sources. tax reliefs and credits claimed. amounts of income tax

Balance in check register be,

=Initial Balance - ( Expense on Food Market + Frank's auto parts + Barber shop ) + Deposit

Initial Balance = 900

Expense on Food Market= 67.25

Frank's auto parts =36.80

Barber shop =15

Deposit =650.45

So,

Balance = 900 - (67.25 + 36.80 + 15) + 650.45

              = 1550.45-119.05

             = $1431.40

Balance on Account statement be,

=  Opening balance - ( checks amount on different dates ) + deposit - fees

= 900 - (67.25 + 36.80 + 15) + 650.45  - 15

= 1550.45-134.05

= $1416.40

As, the balances in bank statement and in checking register are not matched. This is because the fees $15 paid on 9/30 is not calculated by Jerry in his check register

thus,

= $1431.40 - $15.00 (Fees)

= $1416.40

Now the balance on account and checking statements matched.

So, he had bank fees were not in Check Register.

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Answer:

Aida did not correctly divide by the common factor to get (4 + 8).

Answer:

B). Aida did not correctly divide by the common factor to get (4 + 8).

Step-by-step explanation:

Aida applied the distributive property to write the equivalent expressions given as

15 + 21 = 3(4 + 8)

But Aida made a mistake.

Since to get the common factor of 15 and 21 she did not divide these numbers by 3 correctly.

In simple words by division of 3 in 15 and 21, we get 5 and 7 instead of 5 and 8.

Therefore, Aida did not correctly divide by the common factor to get (4 + 8). ⇒ option B is the correct answer.

To find the value of f(3) we need to follow the below steps :

Step 1 : First plot the graph of f(x)

Step 2 : We need to find f(3) or the function value at x = 3 therefore, in the graph locate the point (3,0)

Step 3 : Draw a line parallel to Y-axis passing through the point (3,0) .

Step 4 : Now there exists two cases :

If the drawn line do not intersect the graph of f(x), then no value of f(3) exists for the given function of x

If the drawn line intersects the graph, then the intersection point is marked and a line parallel to x - axis is drawn passing through that marked or intersection point. And the line where it intersects the y - axis is our required value of f(3).

If this is wrong than I guess I wasn't smart enough :)

We will solve these through graphical way .

Find some coordinates

And

Find some coordinates

Graph both

The intersection points are

Answer:

1.36 centimeters

Step-by-step explanation:

Given,

side length ( a ) = 17 mm

To find : Perimeter of regular octagon ( in cm )

Octagon has 8 sides.

Perimeter of regular octagon

= 8 x a

= 8 x 17

= 136 mm

1 mm = 0.1 cm

136 mm

= 136 x 0.1

= 1.36 centimeters ( cm )

Hence,

Perimeter of regular octagon is 1.36 centimeters.

Answer:

13.6 cm

Step-by-step explanation:

17 mm = 1.7 cm

Perimeter of octagon

= 8 x 1.7 cm

= 13.6 cm

walking tour is $15

boat tour is $18

Answer:

28

Step-by-step explanation:

Since n = 3, you would times n (3) 4 times then add that to 3, then divide that by three, and there's your answer!

The solution to the amount of light bulbs Julia needs to sell to meet her quota is represented by the shaded area in graph X.

An equation is an expression that shows the relationship between two or more variables and numbers.

Let x represent the incandescent light bulbs and y represent the fluorescent light bulbs. Therefore:

x + y > 100   (1)

Also:

2x + 5y ≥ 350    (2)

The solution to the amount of light bulbs Julia needs to sell to meet her quota is represented by the shaded area in graph X.

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Answer:

last one

Step-by-step explanation:

after solving that, i got the same answer from the orginail one:

x=1,x=8

The proportion is equivalent to the original equation is (x+1)/2x = x²-7x+10 / 4x [option c]

Proportion is a mathematical comparison between two numbers. According to proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other.

Given is an equation, 1/2 + 1/2x = x²-7x+10 / 4x

We need to determine the proportion equivalent to this,

So, taking the LHS,

1/2 + 1/2x

= 2+2x / 4x

= 2(x+1) / 4x

= x+1 / 2x

Hence, the proportion is equivalent to the original equation is (x+1)/2x = x²-7x+10 / 4x [option c]

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Answer: I think its D

Step-by-step explanation:

Answer:

Maximum value = 7, minimum value = 8

Step-by-step explanation:

Your answer is right !

Answer:

[tex]\displaystyle \lim_{x \to 2} \frac{\sqrt{x + 7} - 3 \sqrt{2x - 3}}{\sqrt[3]{x + 6} - 2 \sqrt[3]{3x - 5}} = \boxed{ \frac{34}{23} }[/tex]

General Formulas and Concepts:
Calculus

Limits

Limit Rule [Variable Direct Substitution]:
[tex]\displaystyle \lim_{x \to c} x = c[/tex]

Limit Property [Multiplied Constant]:
[tex]\displaystyle \lim_{x \to c} bf(x) = b \lim_{x \to c} f(x)[/tex]

Limit Property [Multiplication]:
[tex]\displaystyle \lim_{x \to c} f(x)g(x) = \lim_{x \to c} f(x) \lim_{x \to c} g(x)[/tex]

Step-by-step explanation:

*Note:

The problem is too big to fit all work. I will assume that you know how to do basic algebra and calculus.

Step 1: Define

Identify given limit.

[tex]\displaystyle \lim_{x \to 2} \frac{\sqrt{x + 7} - 3 \sqrt{2x - 3}}{\sqrt[3]{x + 6} - 2 \sqrt[3]{3x - 5}}[/tex]

Step 2: Find Limit (Algebriaclly)

Rationalize the function and apply basic limit techniques listed under "Calculus":

[tex]\displaystyle\begin{aligned}\lim_{x \to 2} \frac{\sqrt{x + 7} - 3 \sqrt{2x - 3}}{\sqrt[3]{x + 6} - 2 \sqrt[3]{3x - 5}} & = \lim_{x \to 2} - \frac{17(x - 2)}{\big( \sqrt[3]{x + 6} - 2 \sqrt[3]{3x - 5} \big) \big( \sqrt{x + 7} + 3 \sqrt{2x - 3} \big)} \\& = -17 \lim_{x \to 2} \frac{1}{\sqrt{x + 7} + 3 \sqrt{2x - 3}} \lim_{x \to 2} \frac{x - 2}{\sqrt[3]{x + 6} - 2 \sqrt[3]{3x - 5}}\end{aligned}[/tex]

[tex]\displaystyle\begin{aligned}\lim_{x \to 2} \frac{\sqrt{x + 7} - 3 \sqrt{2x - 3}}{\sqrt[3]{x + 6} - 2 \sqrt[3]{3x - 5}} & = - \frac{17}{6} \lim_{x \to 2} \frac{x - 2}{\sqrt[3]{x + 6} - 2 \sqrt[3]{3x - 5}} \\\end{aligned}[/tex]

Let's now focus on just the rationalization of the function within the limit:

[tex]\displaystyle\begin{aligned}\frac{x - 2}{\sqrt[3]{x + 6} - 2 \sqrt[3]{3x - 5}} & = \frac{(x - 2) \bigg[ (x + 6)^\Big{\frac{2}{3}} + 2 \sqrt[3]{x + 6} \sqrt[3]{3x - 5} + 4(3x - 5)^\Big{\frac{2}{3}} \bigg] }{\Big( \sqrt[3]{x + 6} - 2 \sqrt[3]{3x - 5} \Big) \bigg[ (x + 6)^\Big{\frac{2}{3}} + 2 \sqrt[3]{x + 6} \sqrt[3]{3x - 5} + 4(3x - 5)^\Big{\frac{2}{3}} \bigg] } \\& = - \frac{1}{23} \bigg[ (x + 6)^\Big{\frac{2}{3}} + 2 \sqrt[3]{x + 6} \sqrt[3]{3x - 5} + 4(3x - 5)^\Big{\frac{2}{3}} \bigg] \\\end{aligned}[/tex]

Substitute in the simplified function and continue:

[tex]\displaystyle\begin{aligned}\lim_{x \to 2} \frac{\sqrt{x + 7} - 3 \sqrt{2x - 3}}{\sqrt[3]{x + 6} - 2 \sqrt[3]{3x - 5}} & = - \frac{17}{6} \lim_{x \to 2} \frac{x - 2}{\sqrt[3]{x + 6} - 2 \sqrt[3]{3x - 5}} \\& = \frac{17}{138} \lim_{x \to 2} \bigg[ (x + 6)^\Big{\frac{2}{3}} + 2 \sqrt[3]{x + 6} \sqrt[3]{3x - 5} + 4(3x - 5)^\Big{\frac{2}{3}} \bigg] \\& = \frac{17}{138} (12) \\& = \boxed{ \frac{34}{23} } \\\end{aligned}[/tex]

∴ we have evaluated the following limit without L' Hopital's Rule.

Step 3: Geometrical Interpretation

We can also graph the given function and approximate the limit. Please refer to the attachment for visualization.

___

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___

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

Answer:

  34/23

Step-by-step explanation:

The limit can be evaluated by simplifying the expression in such a way as to cancel the offending zeros.

__

Define the following (to help keep the algebra cleaner):

  [tex]a=\sqrt{x+7},\ b=3\sqrt{2x-3}\\\\c=\sqrt[3]{x+6}.\ d=2\sqrt[3]{3x-5}[/tex]

Then the desired limit is ...

  [tex]\displaystyle \lim_{x\to 2}\dfrac{a-b}{c-d}[/tex]

We observe that ...

  [tex](a-b)(a+b)=\underline{a^2-b^2}=(x+7)-(3^2(2x-3))=-17x+34=\underline{-17(x-2)}\\\\(c-d)(c^2+cd+d^2)=\underline{c^3-d^3}=(x+6)-(2^3(3x-5))=-23x+46=\underline{-23(x-2)}\\\\\displaystyle\lim_{x\to2}{(a+b)}=3+3=6\\\\\lim_{x\to2}{(c^2+cd+d^2)}=4+4+4=12[/tex]

In the following expression, the factors (x-2) cancel, so, our limit is ...

  [tex]\displaystyle\lim_{x\to2}\dfrac{a-b}{c-d}=\lim_{x\to2}\dfrac{(a^2-b^2)(c^2+cd+d^2)}{(c^3-d^3)(a+b)}=\lim_{x\to2}\dfrac{-17(x-2)(12)}{-23(x-2)(6)}=\boxed{\dfrac{34}{23}}[/tex]

The relationship between the variable x and y will be linear. Then the correct option is A.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The graph is given below.

At x = 2, the value of y will be 6.

At x = 3, the value of y will be 4.

At x = 4, the value of y will be 2.

Then the relationship between the variable x and y will be linear.

Then the equation of the line will be

y = -2x + 10

Thus, the correct option is A.

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