Determine whether ABC or DEF is similar to XYZ.

x = −12/5 and y = −58/15

Step-by-step explanation:

x+3y=−14

4x−3y=2

Add these equations to eliminate y:

5x = −12

Then solve 5x = −12 for x:

5x = −12

5x/5 = −12/5 (Divide both sides by 5)

x = −12/5

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

x + 3y = −14

Substitute −12/5 for x in x + 3y = −14:

−12/5 + 3y = −14

3y + −12/5 = −14

(Simplify both sides of the equation)

3y + −12/5 + 12/5 = −14 + 12/5

(Add 12/5 to both sides)

3y = −58/5

3y/3 = −58/5/3

(Divide both sides by 3)

y = −58/15

Answer:

the volume is Pie X Y^-3= 6 + 7/2 which means the surface area is half of Pie/12

Step-by-step explanation:

i don't know there's no picture

Answer:

3.67

Step-by-step explanation:

Note : a × b = 0 ==》 a = 0 Or b = 0

_________________________________

( 2x - 7 )( 5x + 75 ) = 0

2x - 7 = 0 ===》 2x = 7 ===》 x = 7 / 2

===》 x = 3.5

Or

5x + 75 = 0 ==》 5x = - 75 ==》 x = - 75 / 5

==》x = - 15

Step-by-step explanation:

(2x-7)(5x+75)=0

2x(5x+75) -7 (5x+75)=0

10x^2 + 150x - 35x - 525 =0

10x^2 + 115x - 525 =0

5(2x^2 + 23x - 105 ) =0

2x^2 +30x-7x - 105 =0

2x ( x + 15 ) -7 ( x + 15) = 0

(2x-7) (x + 15) =0

so, 2x-7=0 and x+15 =0

x = 7/2 and x = -15

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Answer:

$295,750

Step-by-step explanation:

Given

Tommy's salary increases by 4% each year.

Increase to 4%

1 year = $42,250

7 years = $?

To find

So if 1 year is $42,250, then to find 7 years, you multiply the given by what you are trying to find.

Set up.

1/42250 x 7/x =

295,750

Therefore, Tommy's salary be in $295,750 7 years.

Answer:

I need help with the answer as well

Step-by-step explanation:

Answer:

4 miles?

Step-by-step explanation:

Answer:

3 miles

Step-by-step explanation:

2+1=3

Answer:

(x + 1)(x + 3)eˣ

Step-by-step explanation:

Since f(x) = (x + 1)²eˣ

df(x)/dx = d[(x + 1)²eˣ]/dx

By the product rule, duv/dx = udv/dx + vdu/dx

where  u =  (x + 1)² and v = eˣ

So,  df(x)/dx = d[(x + 1)²eˣ]/dx

= (x + 1)²deˣ/dx + eˣd(x + 1)²/dx

= (x + 1)²eˣ + eˣd(x + 1)²/d(x + 1) × d(x + 1)/dx  (by the chain-rule dy/dx = dy/du × du/dx)

= (x + 1)²eˣ + eˣ[2(x + 1) × 1]

= (x + 1)²eˣ + 2eˣ(x + 1)

= (x + 1)eˣ(x + 1 + 2)

= (x + 1)eˣ(x + 3)

= (x + 1)(x + 3)eˣ

Answer:

The absolute maximum is 4, and the absolute minimum is 2.

Step-by-step explanation:

We are given the function:

[tex]f(x)=x^4-3x^2+4[/tex]

And we want to find the absolute extrema of the function on the interval [-1, 1].

So, we will find the smallest and largest y-value within the interval. First, we can evaluate the function at its endpoints. So:

[tex]f(-1)=(-1)^4-3(-1)^2+4=2[/tex]

And:

[tex]f(1)=(1)^4-3(1)^2+4=2[/tex]

Our endpoints are (-1, 2) and (1, 2).

Recall that extrema only occurs at critical points. Critical points are where the derivative of the function equals 0. So, we can find the derivative of the function:

[tex]\displaystyle f'(x)=\frac{d}{dx}\left[x^4-3x^2+4\right][/tex]

Differentiate:

[tex]f'(x)=4x^3-6x[/tex]

Set the function equal to 0:

[tex]0=4x^3-6x[/tex]

Solve for x. Factor:

[tex]2x(2x^2-3)=0[/tex]

Zero Product Property:

[tex]2x=0\text{ or } 2x^2-3=0[/tex]

Solve for each case. Therefore:

[tex]\displaystyle x=0\text{ or } x=\pm\frac{\sqrt6}{2}[/tex]

The second case is outside of our interval. So we can ignore it.

Evaluate the function at x = 0:

[tex]f(0)=(0)^4-3(0)^2+4=4[/tex]

Therefore, for our function on the interval [-1, 1], the absolute maximum is 4, and the absolute minimum is 2.

Answer: sarah ran 150 miles in 12 weeks

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

You divide and stuff. Then you subtract 3.5 from 5 to get 1.5 and bam answer.

Step-by-step explanation:

Required information to prove the triangles are congruent:

AB=FE

Then you can say they are congruent by SAS

Answer:

4^8

Step-by-step explanation:

4^3 x 4^5 = 4^3+5 = 4^8 = 65536

Answer:

4+7/16

Answer is 11/16

Step-by-step explanation:

Transform the expression then calculate

Answer:

11/16

Step-by-step explanation:

First- make sure they have the same denominator (the number located at the bottom)

(the denominator is the least common multiple (LCM) or essentially where the numbers meet up)

^ 4 and 16 meets up at 16.

^7/16 already has 16 as the denominator, however 1/4 does not.

Therefore-

1/4 * 4/4 + 7/16 * 1/1

^ 4/16 + 7/16

(they have the same denominator, therefore when you add you DO NOT change the denominator)

4+7 is 11- and you keep the denominator

11/16 is a number which you can NOT simplify.

Therefore ^ 11/16 is your answer

The least and greatest weights of the potatoes in the data set are 1/8 and 3/4 respectively.

The weight of the potatoes are:

Therefore, the least weight of the potatoes is 1/8 equivalent to 0.125

The greatest weight of the potatoes is 3/4 equivalent to 0.75

Learn more about fractions:

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Answer:

15%

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

It is given that the measure of interior angle of a polygon is 171∘ . So, the correct answer is “ 40 ”.

Answer:

a 3,5,5,11

b 3,3,37,3

- 2,269

d 113, as it is a prime factor

Answer:

$0.18

Step-by-step explanation:

Given that :

Number of bananas purchased = 8

Cost at which the 8 bananas were purchased = $1.44

The unit price of bananas can be obtained using the relation :

Total Cost of bananas / number of bananas

Unit price = $1.44 / 8

Unit price = $0.18

Price per unit of banana = $0.18

Answer:

The simplified ratio is 7:6

Step-by-step explanation:

First we have to find the GCF of both 154 and 132.  Since the GCF is 22, we will divide 154 by 22 and we get 7.  Now divide 132 by 22 and we get 6.  Therefore, the simplest form or the ratio 154:132 is 7:6.

Answer:

i believe it is 622.71 im not sure tho

Step-by-step explanation:

Answer:

$622.71

Step-by-step explanation:

Net Pay = Gross Pay - Deductions

Net Pay = $1,008.71 - $386.00

Net Pay = $622.71

Leave a like if this helped

Answer:Who is BRIANNA

Step-by-step explanation:

Answer:

x = 4

m<cdb = 82

Step-by-step explanation:

The exterior angle thm states that the exterior angle of a triangle is equal to the sum of the opposite interior angles:

7x + 2 + 17x = 98

24x + 2 = 98

24x = 96

x = 4

m<cdb =

y + 98 = 180

y = 180 - 98

y = 82

Answer:

c

Step-by-step explanation:

Answer:

D. 4 • 1 = 4

Step-by-step explanation:

In Mathematics, we have two kinds of Identity property

a) Identity property of Addition

This means that when you add a number to zero, it gives you that same number

Example: 6 + 0 = 6

b) Identity property of Multiplication,

This means that, when a number is multiplied by 1, it gives that same number.

Example: 8 × 1 = 8

Therefore, from the above question, the equation that demonstrates identity property is 4 • 1 = 4

Option D is the correct answe

Answer:Life table of males at age 30. Probability of dying between ages x and x+1

total population:  

29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001030

30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001061

males:  

29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001420

30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001448

white population

29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001005

30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001037

white males

29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001372

30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001399

non Hispanic white population

29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001083

30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001116

non Hispanic white males

29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001477

30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001503

Jacob, non Hispanic white male. 30 years old.

Probability that Jacob lives to be 30 years old.  

Since the given probabilities are probabilities of dying, I think we simply subtract it from 1 to get the probability of living. We will use the probability of non Hispanic white male.

                                         Probability of living to be 30 y.o.

29 - 30 : 1 - 0.001477 = 0.998523

30 - 31 : 1 - 0.001503 = 0.998497

Step-by-step explanation:

Life table of males at age 30. Probability of dying between ages x and x+1

total population:  

29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001030

30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001061

males:  

29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001420

30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001448

white population

29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001005

30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001037

white males

29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001372

30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001399

non Hispanic white population

29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001083

30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001116

non Hispanic white males

29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001477

30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001503

Jacob, non Hispanic white male. 30 years old.

Probability that Jacob lives to be 30 years old.  

Since the given probabilities are probabilities of dying, I think we simply subtract it from 1 to get the probability of living. We will use the probability of non Hispanic white male.

                                         Probability of living to be 30 y.o.

29 - 30 : 1 - 0.001477 = 0.998523

30 - 31 : 1 - 0.001503 = 0.998497

Answer:

6(6a-2b)

Step-by-step explanation:

Answer:

6(6a-2b)

Step-by-step explanation:

if you multiply the 6 by what's in parenthesis you get 36a-12b

Answer:

sin ∅ = 24/25

Step-by-step explanation:

These are the trigonometric ratios

Remember SOHCAHTOA

Sine = Opposite over Hypotenuse (SOH)

Cosine = Adjacent over Hypotenuse (CAH)

Tangent = Opposite over Adjacent (TOA)

We are asked to find sin ∅

The trig function sin = opposite over hypotenuse

so we need to find the opposite side length of the indicated angle (∅)

The opposite side length is equal to 24

Then we find the hypotenuse ( the longest side length ) which would be 25

so sin ∅ = 24/25

Answer:

y = [tex]\frac{1}{3}[/tex] x² - 2x - 2

Step-by-step explanation:

x-coordinate of the vertex of a parabola is ( [tex]- \frac{b}{2a}[/tex] )

y = f(x) = ax² + bx + c

(x, y) ∈ f(x)

~~~~~~~~~

{ (0, - 2), (3, - 5) } ⊂ { (x, y): y = ax² + bx + c }

a(0)² + b(0) + c = - 2 ⇒ c = - 2

a(3)² + b(3) + ( - 2) = - 5  

9a + 3b - 2 = - 5 ⇒ 3a + b = - 1

[tex]- \frac{b}{2a}[/tex] = 3 ⇒ b = - 6a

[tex]\left \{ {{3a+b=-1} \atop {b=-6a}} \right.[/tex]

3a + ( - 6a) = - 1

a = [tex]\frac{1}{3}[/tex]

b = - 2

y = [tex]\frac{1}{3}[/tex] x² - 2x - 2

The equation of the parabola for the given values is y = x²/3 - 2x - 2.

A parabola is the part of the conic section of which the points are equidistant from a fixed line called as directrix and a fixed point known as focus.

The general equation for the parabola is given as,

y = ax² + bx + c

Where c is the y-intercept.

Substitute c = -2 as per the question to obtain,

y = ax² + bx - 2

At (3,-5) the parabola has minimum value which implies y' = 0 as below,

y' = 2ax + b = 0

Substitute x = 3 to obtain,

2a × 3 + b = 0

=> -6a = b

And, y = -5 at x = 3 which gives,

-5 = 3²a + 3b - 2

=> 9a + 3b = -3

Substitute b = -6a to get,

9a - 18a = -3

=> a = 1/3

Which implies b = -6 × 1/3 = -2

Now, the equation for the parabola becomes as below,

y = x²/3 - 2x - 2

Hence, the required equation of the parabola is obtained as y = x²/3 - 2x - 2.

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