Using the numbers 1 to 9 (inclusive), without repeating any numbers, fill in the boxes to write two equivalent equations. The top equation is written in slope-intercept form. The bottom equation is written in standard form.

Answer: B. The volume of the cylinder is smaller than the volume of the prism.

Step-by-step explanation

Did the test!

The volume of the cylinder is smaller than the volume of the prism.

We have given that,

a. The volume of the cylinder is greater than the volume of the prism

b. The volume of the cylinder is smaller than the volume of the prism.

C. The volume of the cylinder is the same as the volume of the prism

d.You cannot compare the volumes of different shapes

We have to determine the,

the volume of a cylinder with a radius of 3 units and a height of 12 units compared to the volume of a rectangular prism with dimensions 16 units x 16 units x 9 units.

[tex]v=\pi r^2h[/tex]

The volume of the cylinder is smaller than the volume of the prism.

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The correct answer to the simplified form of the mixed fraction equation is determined as [tex]\frac{67x}{10} + 9[/tex].

The given fraction is written as follows;

[tex]3 (\frac{7}{5} x + 4)-2(\frac{3}{2} -\frac{5}{4} x)[/tex]

[tex]=3 (\frac{7}{5} x + 4)-2(\frac{3}{2} -\frac{5}{4} x)\\\\= \frac{21}{5} x + 12 - 3 + \frac{5x}{2} \\\\= \frac{21}{5} x +9 + \frac{5x}{2}\\\\= \frac{42x + 90+ 25x}{10} \\\\= \frac{67x}{10} + 9[/tex]

Thus, the correct answer to the simplified form of the mixed fraction equation is determined as [tex]\frac{67x}{10} + 9[/tex].

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The proportion that satisfies the geometric mean (altitude) theorem for the triangle is 2/h = h/3

According to the theorem, the ratio similar sides of a right triangle are equal. From the given diagram, we are to determine the proportion satisfies the geometric mean (altitude) theorem for the triangle.

Taking the ratio of the base to the height, we will have:
MK/KL = KL/KN

Substitute the measure of the sides

2/h = h/3

Hence the proportion that satisfies the geometric mean (altitude) theorem for the triangle is 2/h = h/3

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Answer:

its D, 2/h = h/3

Step-by-step explanation:

Answer:

Reasons will be definitions, postulates, properties and previously proven theorems. “Given” is only used as a reason if the information in the statement column was given in the problem. Use symbols and abbreviations for words within proofs.

Step-by-step explanation:

Reasons will be definitions, postulates, properties and previously proven theorems. “Given” is only used as a reason if the information in the statement column was given in the problem. Use symbols and abbreviations for words within proofs.

Answer:

$3h

Step-by-step explanation:

w=$44+$12h

w=$35+$15h

$44+$12h=$35+$15h

         -12              -12

$44=$35+$3h

-35    -35

$9=3h

/3   /3

$3=h

Answer:

X = 1

Step-by-step explanation:

1) Move the 3x to the left hand side and change its sign:

4x-19+3x=-12

2) Move 19 to the right hand side and change its sign:

4x+3x=-12+19

3) collect the like terms:

4x+3x= 7x

-12+19= 7

4) Divide both sides by 7

X = 1

Answer:

4x − 19 = −3x − 12

Let's first get rid of any constants, either from the left or right side.

I'll start with the left, by using the inverse operations.

The inverse operation of subtraction (since 19 is negative) is addition.

So, we add 19 to both sides.

Remember that whenever we use inverse operations we need to do the same for the other side, consequently both sides.

+19             +19

Now, we'll end up with:

4x = -3x + 7

Let's get rid of other terms(grouping them), such as -3x.

We do this by adding 3x to both sides because the inverse operation of subtraction (since 3 is negative) is addition.

Add 3x to both sides,

+3x     +3x

7x = 7

Get rid of the co-efficient of x, which is 7.

We do this by dividing by 7 from both sides since the inverse operation of multiplication (because 7 is being multiplied by x) is division.

Divide by 7 from both sides:

÷7 ÷7

x = 1, the value of x is 1.

Answer:

5 cm height

Step-by-step explanation:

V = L * W * H

V / (L* W) = H      =  5cm height

Answer:

90 is the answer

Step-by-step explanation:

360° / 4= 90°

Answer:

Asymptotic discontinuities at [tex]x = (-2)[/tex] and [tex]x = 4[/tex].

Step-by-step explanation:

A linear function has an asymptotic discontinuity at [tex]x = a[/tex] if [tex](x - a)[/tex] is a factor of the denominator after simplification.

The numerator of this function, [tex](x - 1)[/tex], is linear in [tex]x[/tex].

The denominator of this function, [tex](x^{2} - 2\, x - 8)[/tex], is quadratic in [tex]x[/tex]. Using the quadratic formula or otherwise, factor the denominator into binominals:

[tex]\begin{aligned}y &= \frac{(x - 1)}{x^{2} - 2\, x - 8} \\ &= \frac{(x - 1)}{(x - 4)\, (x + 2)}\end{aligned}[/tex].

Simplify the function by liminating binomials that are in both the numerator and the denominator.

Notice that in the simplified expression, binomial factors of the denominator are [tex](x - 4)[/tex] and [tex](x + 2)[/tex] (which is equivalent to [tex](x - (-2))[/tex].) Therefore, the points of discontinuity of this function would be [tex]x = 4[/tex] and [tex]x = (-2)[/tex].

Step-by-step explanation:

The answer for C is:

(x,y) = (-166, 34)

I think your teacher wants you to write it as x=-166, x-=34 ? I'm not sure.

And for D it's:

(x,y) =

[tex](x,y) = ( \frac{16}{3}, - \frac{1}{9} )[/tex]

Which would be x= 16/3, x= -1/9

Answer:

1.2

Step-by-step explanation:

9.2 + 8d = 73.2

d = 8

then first term is   9.2 - d = 1.2

The first term of an arithmetic sequence is 1.2 with a common difference of 8.

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have:

Tenth term of an arithmetic sequence = 73.2  or

a+(10-1)d = 73.2 ....(1)

Second term of an arithmetic sequence = 9.2 or

a+(2-1)d = 9.2 .....(2)

Where a is the first term and d is a common difference.

Solving equations (1) and (2)

From the equation (2) put the value of d in the equation (1), we get:

a+9(9.2-a) = 73.2

a+82.8 - 9a = 73.2

-8a = -9.6

a = 1.2

Thus, the first term of an arithmetic sequence is 1.2 with a common difference 8.

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11% of $150 =

10% = $15

1% = $1.50

$15+$1.50= $16.50

$150-$16.50= $133.50

Clementine has $133.50 left

Answer: Taxes: 11 & 16.50 Earnings after: 133.50

Step-by-step explanation: ok

The cost of 1 purse will be £14.

And, The cost of 1 watch will be £13.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The cost of 1 purse and 1 watch is £27.

The cost of 2 purses and 1 watch is £41.

Now,

Let the cost of 1 purse = x

And, The cost of watch = y

So, We can formulate;

⇒ x + y = £27    ......(i)

And, The cost of 2 purses and 1 watch is £41.

So, We can formulate;

⇒ 2x + y = £41          ..........(ii)

Subtract (i) from (ii), we get;

⇒ 2x + y - x - y = 41 - 27

⇒ x = £14

And, From equation (i), we get;

⇒ x + y = £27

⇒ £14 + y = £27

⇒ y = £27 - £14

⇒ y = £13

Thus, The cost of 1 purse will be £14.

And, The cost of 1 watch will be £13.

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The linear function that can be used to find the amount in dollars Luis can spend on entertainment is given by:

f(x) = (x - 35)/6.

A linear function is modeled by:

y = mx + b

In which:

In this problem:

Hence, the function is given by:

f(x) = (x - 35)/6.

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Answer:

x + y = 9

Step-by-step explanation:

Line is passing through the points (9, 0) and (0, 9)

-> y - intercept (b) = 9

& slope (m) = (9 - 0)/(0 - 9) = 9/(-9) = -1

Equation of line in slope-intercept form is given as:

y = mx + b

Plugging in the values of m and b in the above equation, we find:

y = (-1)x + 9

-> y = -x + 9

-> x + y = 9

This is the required equation of the line

[Note: there are several other points through which line is passing and those points can also be selected for finding the required equation]

Answer:

See below ~

Step-by-step explanation:

Question 1

The missing angles

⇒ The sides are equal

⇒ Angles are not 90°

⇒ It is a rhombus

Question 2

Diameter=6units

Area:-

Answer:

Step-by-step explanation:

The average rate of change of a function on an interval is the ratio of the change in function value to the length of the interval.

__

The average rate of change of f(x) on the interval [5, 10] is ...

  (f(10) -f(5))/(10 -5) = (-0.1(10²) -(-0.1(5²)))/(10 -5) = (-0.1(10 -5)(10 +5))/(10 -5)

  = -0.1(10 +5) = -1.5 . . . . average rate of change of f(x)

The average rate of change of g(x) is calculated the same way, and the simplification of the calculation is the same. The average rate of change of g(x) is ...

  -0.4(10 +5) = -6 . . . . average rate of change of g(x)

The ratio of the average rates of change is ...

  g'(x)/f'(x) = -6/-1.5 = 4

The rate of change of g(x) is 4 times that of f(x).

_____

Additional comment

In the above, we made use of the factoring of the difference of squares in order to simplify the expression: a² -b² = (a +b)(a -b). This let us cancel the denominator factor to show us an interesting fact about the rate of change of a quadratic function.

If we generalize the result we found above, we see that the average rate of change of h(x) = kx² on the interval [a, b] is ....

  h'(x) = k(b +a) . . . . . squared term coefficient times the sum of the ends of the interval

You will notice that (b+a)/2 is the midpoint of the interval, so the average rate of change can also be expressed as ...

  h'(x) = 2k × (midpoint of interval [a, b])

Answer:

third one is the correct answer

Answer:

Height of the rectangular prism is 10.1 millimeters

Step-by-step explanation:

Rectangular Prism Formula = Length * Width * Height
1,919mm^3 = 10 mm * 19mm * height

height = 10.1 millimeters

Answer:

$7,350.00

Step-by-step explanation:

To find out the total amount of money, you need to know the total amount of tickets sold.

So, find out what 20% of 350 is for the second hour and add it to the 350 from the first hour

350 x 0.20 = 70

350 + 70 = 420 total tickets

now you multiply 420 by the amount of money per ticket in order to know the price for all the tickets in both hours

420 x 17.50 = 7,350 dollars total

The approximate angle that the wire meet the ground is 56.4 degrees

The given set up result in a right triangle. A right triangle has one of its angles as 90degrees.

From the given diagram, we are to caculate the measure of beta. Using the SOH CAH TOA identity

sinβ = opposite/hypotenuse

sinβ = 10/12

sinβ = 0.8333

β = arcsin(0.8333)

β = 56.4 degrees

Hence the approximate angle that the wire meet the ground is 56.4 degrees

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Answer:

? = 85°

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 5 , then

sum = 180° × 3 = 540°

sum of the angles around a point = 360° , so

interior angle on right = 360° - 250° = 110°

sum the interior angles and equate to 540°

110° + 115° + 120° + 110° + ? = 540° , that is

455° + ? = 540° ( subtract 455° from both sides )

? = 85°

Answer:

B

Step-by-step explanation:

angles on the circumference of a circle subtended on the same arc are congruent , then

x = 52°

Answer:

D. 20°

Step-by-step explanation:

just do an elimination, since 52° is big then X it obviously can't be 96°. And that leaves us with 32° and 20°. As you can see 32° is bigger than X then it's 20° ♡