Which transformations could be performed to show that
AABC is similar to AA"B"C"?
-10
8+
B
6
4
id d
С
2
ic
-10 -8 6 4 -22N14 6
A
8 10 x
B"
a reflection over the x-axis, then a dilation by a scale
factor of 3
a reflection over the x-axis, then a dilation by a scale
factor of
a 180° rotation about the origin, then a dilation by a
scale factor of 3
a 180° rotation about the origin, then a dilation by a
scale factor of
6
-8
10

Answer:

$

180

Step-by-step explanation:

The original price is the quotient between $120 and 2/3, we get:

P = $180

We know that 2/3 of the original price is $120, then to get the original price, we need to take the quotient between $120 and 2/3.

[tex]P = \frac{\$120}{2/3} = (3/2)*\$ 120[/tex]

By taking that quotient we will see that the original price of the coat is:

[tex]P = (3/2)*\$120 = $180[/tex]

We conclude that the original price of the coat is $120.

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Answer: ps = 1012.5

Therefore the producers' surplus for the supply equation at the indicated unit price p is 1012.5

Step-by-step explanation:

Given that;

p = 120 + q ; p = 165

Now to find the producer's surplus for supply equation p=f(q) at the indicated unit price; we find p

so from p = 120 + q ; p = 165, if we substitute for q

120 + q = 165

q = 165 - 120 = 45

so

ps = ⁴⁵∫₀ ( 165 - (120+q) dq

ps = ⁴⁵∫₀ ( 45 - q) dq

USING THE EXPRESSION [ xⁿdx = xⁿ⁺¹ / n+1]

ps =  [45q - q²/2]₀⁴⁵

ps = [45(45) - 45²/2] [45(0) - (0)²/2]  

ps =  [2025 - 1012.5] - [0]

ps = 1012.5

Therefore the producers' surplus for the supply equation at the indicated unit price p is 1012.5

Answer:

x= 2, y= 2, and z= 6

Step-by-step explanation:

If this is a Diophantine equation, add 35 to both sides and factor the left:

(3x+1)(2y+7)(z+5) = 847 = 7 times 112

Each integer factorization of 847 into 3 factors leads to a different number/value of x, y, and z. If the first factor, (3x+1), is 1 more than a multiple of 3, and the second factor, (2y+7), is odd, then x, y, and z will be integers.

For example:

847 = 121 times -7 times -1 gives (x, y, z) = (40, -7, -6) because 121 times -7 times -1 is 847 as well, it checks out.

If x, y, and z need to be positive, then the three numbers/factors need to be greater than 1, 7, and 5. The only combination that works is 7 times 11 times 11, which gives (x, y, z) = (2, 2, 6).

:)

Answer:  17 per week

Step-by-step explanation:

10 weeks = 70 days

105 + 65 = 170

107 / 70 = 2.42857142857

2.42857142857 x 7 days = $17

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-7,-2) and (11,3)

The distance between the points is

We have the final answer as

Hope this helps you

Answer:

m<B = m<C = 55

Step-by-step explanation:

Since those two sides are congruent, the base angles are congruent.

m<B = m<C = x

m<A + m<B + m<C = 180

70 + x + x = 180

2x + 70 = 180

2x = 110

x = 55

m<B = m<C = 55

Answer:

the flux of the flow field F across σ = 135

Step-by-step explanation:

Given that :

F = 2xi + 3yj

and σ is the cube with opposite corners at (0,0,0) and (3,3,3) oriented outwards.

Using divergence theorem,

[tex]\iint \ F.ds = \iiint \ div. f \ dV[/tex]

[tex]div \ f = \dfrac{\partial }{\partial x}2x + \dfrac{\partial}{\partial y }(3y)[/tex]

f = 2 +3 = 5

where ;

F = 2xi + 3yj

Thus , the triple integral can now be ;

[tex]= \iiint 5.dV[/tex]

[tex]=5 \iiint \ dV[/tex]

[tex]= 5 \ \int^{3}_{0}\int^{3}_{0}\int^{3}_{0} \ dV[/tex]

= 5(3)(3)(3)

= 135

Answer:

1200

Step-by-step explanation:

First we need to figure out how many bricks can be set in an hour, so you do 2.5*60, since there are 60 min. in an hour. That's 150.

Now we do 8 hours. You do 150*8, which is 1200.

Hope this helps.

Answer:

1200

Step-by-step explanation:

The reason behind this answer is because you first multiply 2.5 by 60 for the 60 minutes in an hour and ultimately get 150 then you multiply that answer by 8 to get 1200.

Answer:

7

Step-by-step explanation:

Because these two triangles share an angle and their corresponding sides are parallel, they are similar.

So, we can set up a proportion relating corresponding sides:

10 / (10 + 8) = (3x - 6) / (3x - 6 + 12)

10/18 = (3x - 6) / (3x + 6)

Cross-multiply:

18 * (3x - 6) = 10 * (3x + 6)

54x - 108 = 30x + 60

24x = 168

x = 168/24 = 7

The answer is 7.

~ an aesthetics lover

━━━━━━━☆☆━━━━━━━

▹ Answer

(w = 7, w = 8/5)

▹ Step-by-Step Explanation

(7 - w)(5w - 8) = 0

Separate:

7 - w = 0

5w - 8 = 0

Solve:

w = 7

5w - 8 = 0

(w = 7, w = 8/5)

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer:

w = 7, 8/5

Step-by-step explanation:

(7 - w) (5w - 8) = 0

(7 - w) × (5w - 8) = 0

7 × 5w - 7 × 8 - w × 5w + w × 8 = 0

35w - 56 - 5w² + 8w = 0

- 5w² + 43w - 56 = 0

5w² - 43w + 56 = 0

5w² - 35w - 8w + 56 = 0

5w(w - 7) - 8(w - 7) = 0

(w - 7) (5w - 8) = 0

w - 7 = 0 OR 5w - 8 = 0

w = 7 OR w = 8/5

Thus, the value of w is 7, 8/5

Answer:

[tex](y+4)(x-4)[/tex]

Step-by-step explanation:

Given the expression:

[tex]xy-4y+4x-16[/tex]

[tex](xy-4y)+(4x-16)[/tex]

Take the common factor

[tex]y(x-4)+4(x-4)[/tex]

[tex](y+4)(x-4)[/tex]

The factored expression is (x - 4)(y + 4).

To factor the expression xy - 4y + 4x - 16 by grouping, we first group the terms in pairs and look for common factors:

xy - 4y + 4x - 16

Now, let's factor by grouping:

Step 1: Group the terms in pairs.

(xy - 4y) + (4x - 16)

Step 2: Factor out the common factor from each group.

In the first group, we can factor out "y" from the two terms:

y(x - 4)

In the second group, we can factor out "4" from the two terms:

4(x - 4)

Step 3: Notice that both groups have a common factor of (x - 4). Factor it out.

(x - 4)(y + 4)

So, the factored expression is (x - 4)(y + 4).

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Answer:

-15

Step-by-step explanation:

start from the inside and go out.

So first plug in -3 into g(x)

g(-3) = -3 - 7 = -10

then plug in -10 into f(x)

f(-10) = 2(-10) + 5 = -15

so f(g(x)) = -15

Answer:

Step-by-step explanation:

f(x) = 2x + 5

g(x) = x − 7

To find f(g(x)) substitute g(x) into f(x) that's replace every x in f(x) by g(x)

That's

f(g(x)) = 2(x - 7) + 5

= 2x - 14 + 5

f(g(x)) = 2x - 9

When x = - 3

Substitute - 3 into f(g(x))

That's

Hope this helps you

Answer:

b. $7,482.

Step-by-step explanation:

20,403 nets $5,996,106 after 35 years.

7,482 nets $2,198,837 after 35 years.

$7,482 is over 2 million and the smallest amount, so you don't have to solve for the other ones.

The real amount that must deposit each year to achieve your goal is $16,017 option (c) is correct.

An investment is a payment made to acquire the securities of other firms with the intention of making a profit.

First, we will calculate the real rate of interest:

r = [(1+nominal rate)/(1+inflation rate)] - 1

Nominal rate = 9.94% = 0.094

Inflation rate = 3.2% = 0.032

r = [(1+0.094)/(1+0.032)] - 1

After calculating,

r = 0.0653 or 6.53%

Deposit amount each year:

Future value = PV[(1+r)ⁿ - 1]/(r)

2000000 = PV[(1+0.0653)³⁵ - 1]/(0.0653)

After calculating,

PV = $16020.544

The value $16020.544 is near the $16,017.

Thus, the real amount that must deposit each year to achieve your goal is $16,017 option (c) is correct.

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Step-by-step explanation:

The slope of the tangent line of a function f(x) is the derivative, f'(x).

Here, we can use exponent rule to find the derivatives:

If y = xⁿ, then y' = nxⁿ⁻¹.

7. g(x) = x²

g'(x) = 2x

g'(2) = 4

8. g(x) = x² − 4x

g'(x) = 2x − 4

g'(1) = -2

9. g(x) = 5/(x + 3)

g(x) = 5 (x + 3)⁻¹

g'(x) = -5 (x + 3)⁻²

g'(-2) = -5

Answer:

The function  is  [tex]D = 2sin ( \frac{\pi}{2} - \frac{\pi}{12} t) + 6[/tex]

Step-by-step explanation:

From the question we are told that

    The  maximum depth is [tex]d = 8 \ ft[/tex]

      The  minimum depth is  [tex]d_i = 4 \ ft[/tex]

Generally the average depth is mathematically represented as

       [tex]d_a = \frac{8 + 4}{2}[/tex]

=>   [tex]d_a = 6 \ ft[/tex]

Generally  the amplitude is mathematically represented as

      [tex]A = d - d_a[/tex]

=>    [tex]A = 8 - 6[/tex]

=>    [tex]A = 2[/tex]

Generally the period is  24 hours given that the the interval between the maximum depth and the minimum depth is half a day

Generally the period is mathematically represented as

         [tex]T = \frac{2 \pi }{w}[/tex]

here w is the angular  frequency

So

     [tex]w = \frac{2 \pi}{24}[/tex]

      [tex]w = \frac{\pi}{12}[/tex]

Generally the depth can be modeled with a sin function as follows

     [tex]D = Acos (wt) + d_a[/tex]

Now  from co-function identity we have  that [tex]for \ cos (z) = sin (\frac{\pi}{2} - z)[/tex]

So  

     [tex]D = Asin ( \frac{\pi}{2} - wt) + d_a[/tex]

     [tex]D = 2sin ( \frac{\pi}{2} - \frac{\pi}{12} t) + 6[/tex]

The function that models the depth, in feet, of the water at the pier yesterday, as a function of time t in minutes past high tide is; D = 2 sin((π/2) - (π/12)t) + 6

We are given;

Thus;

Average depth; d = (d1 + d2)/2

d = (4 + 8)/2

d = 6 ft

Now, to find the amplitude, we will just subtract the minimum depth from the maximum one to get; A = d2 - d1

A = 8 - 6

A = 2 ft

Now, the period T is a whole day which is 24 hours and so we can find the angular frequency ω from the formula;

ω = 2π/T

Thus;

ω = 2π/24

ω = π/12

Where;

d_i is average depth

Thus;

D = 2 sin((π/2) - (π/12)t) + 6

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

36 square units

Answer:

That would be false

Step-by-step explanation:

if you look at where the decimal is, 40.7 would be bigger

Solve the "f" function with substitute 4 and solve the "g" function with what we get for the "f" function.

f(4) = 2(8) + 3

f(4) = 16 + 3

f(4) = 19

g(19) = 4(19) - 1

g(19) = 76 - 1

g(19) = 75

Best of Luck!

Answer:

2¹+3¹ , 2³ -2¹ , 3²

Step-by-step explanation:

to know the magnitude of the value of each expression 3² =9 ,

2³ -2¹ =8-2=6

2¹ +3¹ = 5

Answer:

Step-by-step explanation:

The correct answer is 15.15.

The solution is 15.2625

The value of the equation 5% of 55% of 555 is A = 15.2625

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number be represented as n = 555

Now , let the equation be represented as A

The value of A = 5% of 55% of 555

On simplifying the equation , we get

55 % of 555 = 555 x ( 55/100 )

55 % of 555 = 555 x 0.55

55 % of 555 = 305.25

Now , 5% of 55% of 555 = A

A = 5 % of 305.25

The value of A = 305.25 x ( 5/100 )

The value of A = 305.25 x ( 0.05 )

The value of A = 15.2625

Hence , the value of the equation is A = 15.2625

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Answer:

[tex] \boxed{ \bold{{ \boxed{ \sf8 {x}^{7} + 3 {x}^{6} + {x}^{5} + 5 {x}^{4} - 2 {x}^{3} }}}}[/tex]

Step-by-step explanation:

Here, we have to arrange the polynomial from higher power to lower power.

So, Option C is the correct option

Hope I helped!

Best regards! :D

Answer:

D. He needs 6 cups of flour for 3 batches

Answer:

$32

Step-by-step explanation:

24/3= 8

8x4= 32

Adam gets paid $32 per hour

The amount Adam paid per hour is $32.

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Janet:

Paid per hour = $24

Adam:

Paid per hour = $32

This means,

3/4 = $24

Multiply 4/3 on both sides.

1 = 4/3 x 24

1 = $32

Thus,

Adam paid $32 per hour.

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Answer:

x =1     x = -7

Step-by-step explanation:

|4x + 12| = 16

Absolute value equations have two solutions, one positive and one negative

4x+12 = 16          4x+12 = -16

Subtract 12 from each side

4x+12-12 = 16-12          4x+12-12 = -16-12

4x =4                               4x =-28

Divide by 4

4x/4 = 4/4                       4x/4 = -28/4

x =1                                   x = -7

Answer:

[tex]\Huge \boxed{\mathrm{ Rational }}[/tex]

Step-by-step explanation:

Rational numbers can be expressed as fractions with whole numbers as the numerator and the denominator.

[tex]\displaystyle \frac{0.4}{0.8}[/tex]

Multiply both the numerator and the denominator by 10.

[tex]\displaystyle \frac{4}{8} =\frac{1}{2}[/tex]

The result is a simplified fraction with both the numerator and the denominator being whole numbers. The result is rational.

Answer:

the answer is 117/500 hop this helps:)

Step-by-step explanation:

0.234 = 117 / 500

as a fraction

To convert the decimal 0.234 to a fraction, just follow these steps:

Step 1: Write down the number as a fraction of one:

0.234 = 0.234/1

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 3 numbers after the decimal point, we multiply both numerator and denominator by 1000. So,

0.234/1

= (0.234 × 1000)

(1 × 1000)

= 234

1000

.

Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(234,1000) = 2. So,

(234÷2)

(1000÷2)

= 117/500

when reduced to the simplest form.

Hope it helped u if yes mark me BRAINLIEST!

Tysm!

I would appreciate it!

Answer:

True

Step-by-step explanation:

The given statement is true as a common approach to keeping a record of each customer's account receivable is to use a subsidiary accounts receivable ledger. An account's receivable subsidiary ledger  is an accounting ledger that shows the transaction and payment history of each customer to whom the business extends credit.

Answer:

76/86

Step-by-step explanation:

Answer:

76/86 is the answer it is the lowest term

Answer:

if ABCD is a rhombus then the diagonal of rhombus bisect it into two equal triangles.

Step-by-step explanation:

In triangles ABC and CDA,

so the triangles are congruent to each other by S.S.S. fact/ axiom

Answer: Find the answer in the attachment

Step-by-step explanation:

The volume constrained both by the cone and the sphere is [tex]21.905\pi[/tex] cubic units.

The volume of a solid in cylindrical coordinates ([tex]V[/tex]) can be determined by the following triple integral:

[tex]V = \iiint dz\,r\,dr\,d\theta[/tex] (1)

The solid is constrained by the following equations in cylindrical coordinates:

Sphere

[tex]r^{2}+z^{2} = 32[/tex] (2)

Cone

[tex]z = r[/tex] (3)

The integration limits can be identified by using the following intervals:

[tex]z \in [0, +\sqrt{32-4^{2}}][/tex], [tex]r \in [0,4][/tex], [tex]\theta \in [0,2\pi][/tex]

And the triple integral has the following form:

[tex]V = \int\limits_{0}^{2\pi}\int\limits_{0}^{4}\int\limits_{0}^{+\sqrt{32-r^{2}}} dz\,r\,dr\,d\theta[/tex] (4)

Now we proceed to integrate the expression thrice:

[tex]V = \int\limits_{0}^{2\pi}\int\limits_{0}^{4}\sqrt{32-r^{2}}\,r\,dr\,d\theta = 10.952\int\limits_{0}^{2\pi}\,d\theta = 21.905\pi[/tex]

The volume constrained both by the cone and the sphere is [tex]21.905\pi[/tex] cubic units.

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