the diagram shows 3 identical circles inside a rectangle. each circle touches the other two circles and the sides of the rectangle, as shown in the diagram. the radius of each circle is 32mm. work out the area of the rectangle. give your answer correct to 3 significant figures.

Answer:

  7

Step-by-step explanation:

There is a point of inflection at each point where the graph crosses the line y=2. There are 7 points of inflection shown.

__

A point of inflection is where the graph changes from being concave downward to concave upward, or vice versa. For a sine function, that is everywhere the function crosses its midline.

Answer:

7 inflection points

Step-by-step explanation:

The given function [tex]f(x)=sinx+2[/tex] has a midline of y=2 where each point of the function that intersects the line is an inflection point. Inflection points are where the concavity changes, defined by when the second derivative is equal to 0 or undefined.

[tex]f(x)=sin(x)+2[/tex]

[tex]f'(x)=cos(x)[/tex]

[tex]f''(x)=-sin(x)[/tex]

[tex]0=-sin(x)[/tex]

[tex]x=\pi n[/tex] for any integer [tex]n[/tex]

From [tex][-10,10][/tex], there are 7 inflection points, which are[tex]x=-3\pi,-2\pi,-\pi,0,\pi,2\pi,3\pi[/tex]

Answer:

2 [tex]\frac{5}{16}[/tex]

Step-by-step explanation:

2 [tex]\frac{5}{16}[/tex] × 4 = 9 3/4

9 3/4 × 1/4 = 2 5/16

I hope this helps!

Answer:

3 1/4 feet

Step-by-step explanation:

1/4 of 9 3/4

change 9 3/4 into an improper fraction → 39/3

1/4 x 39/3 = 39/12

convert back to a mixed number by dividing 12 into 39

which goes in three times with a remainder of 3 → 3 3/12

however, 3/12 can be simplified to equal 1/4

Answer:

C -7, 3

Step-by-step explanation:

Answer:

A (7, 3).

Step-by-step explanation:

( -7, -3) reflected over the x axis goes to the point (-7, 3)

(-7, 3) reflected across the y axis goes to (7, 3).

Step-by-step explanation:

4(x-3)-8=16

4x-12-8=16

4x-20=16

4x-20+20=16+20

add

4x=36

divide both

4x/4  36/4

Simplify

x = 9

Answer:

Write a list of steps

Step-by-step explanation:

Pls mark me brainliest! Tnx

Answer:

Option A: [tex]x=0[/tex], [tex]x=-2[/tex], and [tex]x=-4[/tex]

Step-by-step explanation:

[tex]f(x)=x^3+6x^2+8x[/tex]

[tex]0=x^3+6x^2+8x[/tex]

[tex]0=x(x^2+6x+8)[/tex]

[tex]0=x(x+2)(x+4)[/tex]

[tex]x=0[/tex], [tex]x=-2[/tex], and [tex]x=-4[/tex]

[tex]x^3+6x^2+8x = 0\\\\\implies x^3+2x^2 +4x^2+8x =0\\\\\implies x^2(x+2) +4x (x+2) =0\\\\\implies (x+2)(x^2 +4x) = 0\\\\\implies x (x+2) (x+4)=0\\\\\text{Hence,} \\\\x = 0 ,-2,-4[/tex]

Answer:

x=0 y=-4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Compare the left and right side of the given equation in terms of the lines they represent:

Their intersection seems not possible. Lets graph and confirm.

See attached below.

It means there are no real solutions. Correct answer choice is B

Answer:

116−−√

110−−√

14√

18√

Step-by-step explanation:

= [180 - (100 + 40)]° = 40°

Answers:

Hope you could get an idea from here.

Doubt clarification - use comment section.

[tex] \sf \: I = P(1 + \frac{r}{n} {)}^{nt} - P \\ \sf = 893(1 + \frac{41}{500} ) ^{1 \times 5} - 893 \\ \sf= 893 \times ( \frac{541}{500} ) ^{5} - 893 \\ \sf= 1324.30 - 893 \\ \sf = 431.30[/tex]

Answer:

$431.30(approximate value)

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

Below in bold.

Step-by-step explanation:

Point slope form is y - y1 = m(x - x1)

where m = the slope of the line and (x1, y1) is a point on the line.

Here m = 5, x1 = -3 and y1 = 6.

So we have:

y - 6 = 5( x - (-3))

y - 6 = 5(x + 3)   (Answer)

Answer:

2s for the first box

6u for the second box

Step-by-step explanation:

when they say like terms, just think about how the letter parts of the expression are the same

like 1/2s and 2s both have the singular variable s

and how 6u and 9u both have the singular variable u

To solve this one you have to find the ones that are connected by variables or look the same

For example.

1x and 2x are like terms because they have the same variable X

4d and 6/2d are like terms because they have the same variable D

4 and 3 are like terms because they have no variables, and they are the same

So now that you understand what like terms are you may so it

1/2 and 2s are like terms because they share the same variable S

6u and 9u are like terms because they share the same variable U

I hope this helped and if it's wrong blame me

Ps. Brainlist would really help

Answer:

5y - 6x = 8 or y = 6x/5 + 8/5

Step-by-step explanation:

let M1= gradient of line AB and M2= gradient of the second line

When two lines are perpendicular, the product of their gradients is -1

i.e, M1M2= -1

M2= -1/M1

A(2,9) and B(8,4)

gradient= (y2-y1)/(x2-x1)

M1= (4-9)/(8-2)

= -5/6

M2= -1÷ -5/6

-1 × -6/5= 6/5

Equation of the line passing through C(-3,-2)

[y-(-2)]/[x-(-3)= 6/5

(y+2)/(x+3)= 6/5

5(y+2)= 6(x+3)

5y+10=6x+18

5y= 6x + 8

y= 6x/5 + 8/5

As per the slope-intercept form of a straight line, the equation of the required line is 5y = 6x + 8.

The slope-intercept form of a straight line is: y = mx + c

Here, m = slope of the line , c = y-intercept

If the slope of a line is 'a', then the slope of the line that is perpendicular to the given line is (- 1/a).

The given coordinates of the points A, B, C are (2, 9); (8, 4); and C(- 3, - 2) respectively.

Therefore, the slope of the line AB is (m)

= (y₂ - y₁)/(x₂ - x₁)

= (4 - 9)/(8 - 2)

= (- 5)/6

Slope of the required line is perpendicular to AB.

Therefore, the slope of the required line is

= - 1/(- 5/6)

= 6/5

This line passes through point C(- 3, - 2).

- 2 = - 3(6/5) + c

⇒ c = -2 + 18/5

⇒ c = 8/5

The equation of the required line is

y = (6/5) x + (8/5)

⇒ 5y = 6x + 8

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The answer would be 6.

Hello there! :)

Hope it helps. Use the comment section to clarify any doubts.

Answered by

~A teen who adores helping others

#LetItSnow

Good luck.

the equation of line which passes through point  (10, 1)  and having slope 1/10 is y = x/10 + 0.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

y = mx + b

In which the coefficients are described as follows:

• The coefficient m is the slope of the function, representing the rate of change of the function.

• The coefficient b is the y-intercept of the function, representing the value of y when the function crosses the y-axis(x = 0).

Here, it is given that line passes though point (10,1) and having slope of 1/10.

Now, Let us find the equation of the line using point-slope equation of line :

(y-y₁) = m(x-x₁)

Substituting all the values in above equation to get the equation of line :

(y-1) = 1/10(x-10)

y - 1 = x/10 - 1

y = x/10 + 0

Therefore, the equation of line which passes through point  (10, 1)  and having slope 1/10 is y = x/10 + 0.

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this is the answer: -5 < -12/40 < 19/38

Answer:

C = 25

Step-by-step explanation:

C = 5/9(77-32)

C = 5/9(45)

C = 25

Answer:

B.

square, triangle, circle, circle

Step-by-step explanation:

Answer:

  C.  square, circle, circle, triangle

Step-by-step explanation:

The repeating patterns are 4 elements long. Element 20 will be the last element in the 5th repeat of the pattern. That is, the triangle must be the last element of the pattern.

The rule in choice C has the triangle last.

Answer:

12

Step-by-step explanation:

Since RS = QS, we know 2x + 8 = 8x - 4

Subtract 2x from each side

8 = 6x - 4

Add 4 to each side

12 = 6x

Divide each side by 6

2 = x

SR is 2x + 8, so it is 2(2) + 8, so RS = 12

The length of the segment SR is 12.

Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.

Since RS = QS, we know 2x + 8 = 8x - 4

Subtract 2x from each side

8 = 6x - 4

Add 4 to each side

12 = 6x

Divide each side by 6

2 = x

SR is 2x + 8, so it is 2(2) + 8, SR = 12

Hence, the segment SR is 12.

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Answer:

[tex]3x^3 - 5x + 1 - \frac{10}{x + 3}[/tex]

or

3x^3 - 5x + 1

Remainder: -10

Step-by-step explanation:

Please see attached image for full explanation!

1.) Write the coefficient of each term.

2.) Beginning with 3, multiply by -3, or x + 3 = 0 (the divisor.)

3.) Add the product to the next coefficient and repeat until you get to the last number, -7.

4.) You should have the numbers 3, 0, -5, 1, and -10.

5.) Rewrite this quotient as an equation:

3x^3 - 5x + 1

Note that the highest power is 3, one less than that of the highest power in the original equation.

6.) Don't forget the remainder!

You can include this in the equation or not, depending on the instructions.

Therefore, the final answer is 3x^3 - 5x + 1 - 10/x+3 or 3x^3 - 5x + 1 R: -10.

This is cross multipication.  Multiply 117 times 36 together for that you would use a calculator. You get 4221. Next step is to multiply x and 12 together that would be 12x.

4221= 12x

Divide  by 12 on both sides:

x= 351

351 is # of trouts in the lake .

Answer:

The larger number is [tex]1100[/tex]

Step-by-step explanation:

Let larger number be [tex]x[/tex]

We have

[tex]\frac{x}{700} =\frac{11}{7} \\\\x=100\times11\\\\=1100[/tex]

Answer:

The larger number is 1100.

Step-by-step explanation:

Solution :

Let the,

Now, According to the question :

[tex]\begin{gathered} \dashrightarrow\sf{Smaller \: number} = \tt{700} \end{gathered}[/tex]

[tex]\begin{gathered} \dashrightarrow\sf{7x}= \tt{700} \end{gathered}[/tex]

[tex]\begin{gathered} \dashrightarrow\sf{x}= \tt{700 \div 7} \end{gathered}[/tex]

[tex]\begin{gathered} \dashrightarrow\sf{x}= \tt{ \dfrac{700}{7} } \end{gathered}[/tex]

[tex]\begin{gathered} \dashrightarrow\sf{x}= \tt{\cancel{\dfrac{700}{7}}} \end{gathered}[/tex]

[tex]\begin{gathered} \dashrightarrow \sf{x}= \tt{100} \end{gathered}[/tex]

Hence, the value of x is 100.

Now, calculating the larger number :

[tex]\begin{gathered} \dashrightarrow\sf{Larger \: number} = \tt{11x} \end{gathered}[/tex]

[tex]\begin{gathered} \dashrightarrow\sf{Larger \: number} = \tt{11 \times 100} \end{gathered}[/tex]

[tex]\begin{gathered} \dashrightarrow\sf{Larger \: number} = \tt{1100} \end{gathered}[/tex]

Hence, the larger number is 1100

[tex]\rule{300}{1.5}[/tex]

Answer:

Step-by-step explanation:

Reflection across the line y=x swaps the x and y coordinates:

  (x, y) ⇒ (y, x)

The image points are ...

  A(6, -2) ⇒ A'(-2, 6)

  B( 6, 3) ⇒ B'(3, 6)

  C(-2, -6) ⇒ C'(-6, -2)

The function that best defines this arithmetic sequence is:

The recursive function that defines the sequence is:

[tex]f(n) = f(n - 1) + d[/tex]

[tex]f(1) = f_0[/tex]

In this problem, the sequence is: {9, 5, 1, -3}

Hence, the function is:

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To identify the functions which best define the given sequence, we have to identify the number pattern.

The correct option is (a).

Given:

The given sequence is as follows,

[tex]9,5,1,-3[/tex]

The arithmetic sequence define as the difference between two consecutive number would be same.

If we subtract 4 form each digit we will get next digit.

[tex]9-4=5\\5-4=1\\1-4=-3[/tex]

So the function would be,

[tex]f(1) = 9, f(n + 1) = f(n) -4; \rm for \:n\geq 1[/tex]

The option (b) and (d) show the increasing function whereas we have decreasing sequence.

Thus, the correct option is (a).

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Answer:

26.18 units

Step-by-step explanation:

You could use distance formula three times to calculate the length of each side. Add the three lengths to find the perimeter. However, (see image) if you look at a graph of these points, two of the sides are the hypotenuse of a right triangle that have known, integer values--Pythagorean triples. The sides are 3-4-5 and the other is 6-8-10. We use the Pythagorean theorem to find the third side. See image.

11.18 + 5 + 10

= 26.18 units

The perimeter of triangle is 26.18.

A triangle is 2-dimensional closed curve. which has 3 sides, 3 angles and 3 vertices.

According to the question,

Triangle ABC has coordinates A(-6,2), B(-3,6), C(5,0).

Distance formula: √(x₂-x₁)² + (y₂-y₁)².

Points A and B are (-6,2) and (-3,6)

= √(-3-(-6))² + (6-2)²

= √9+16

= √25

=5.

Thus, point A and B has distance, S₁ = 5.

Points B and C are (-3,6) and (5,0)

Distance formula: √(x₂-x₁)² + (y₂-y₁)²

= √(5-(-3))² + (0-6)²

= √(8)² + (-6)²

= √(64+36)

=√100

=10.

Thus, point B and C has distance, S₂ = 10.

Points C and A are (5,0) and (-6,2)

Distance formula: √(x₂-x₁)² + (y₂-y₁)²

= √(-6-(5))² + (2-0)²

= √((-11)² + (2)²)

=√(121+4)

=√125

=5√5

Thus, point C and A has distance, S₃= 5√5.

Perimeter of triangle = S₁ + S₂+S₃

= 5 + 10 + 5√5

=15+5√5

=15+5(2.23606)

=15+11.1803

=26.1803 ≈ 26.18

Hence, the perimeter of triangle is 26.18.

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Answer:

b maybe....

Step-by-step explanation:

Step-by-step explanation:

5/9 × (x - 32) = 1.8 × x + 32 = 9/5 × x + 32

5×(x - 32) = 9×9/5 × x + 32×9

5×5×(x - 32) = 9×9×x + 32×9×5

25x - 32×25 = 81x + 32×45

32×(-25 - 45) = 56x

4×(-70) = 7x

x = 4×(-10) = -40

-40° is the same temperature in Celsius and in Fahrenheit.