Find the hypotenuse, c, of the triangle.

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: 28 {x}^{3} + 48 {x}^{2} + 62x + 30}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex](4 {x}^{2} + 4x + 6)(7x + 5)[/tex]

[tex] = \: 7x(4 {x}^{2} + 4x + 6) + 5(4 {x}^{2} + 4x + 6)[/tex]

[tex] = \: 28 {x}^{3} + 28 {x}^{2} + 42x + 20 {x}^{2} + 20x + 30[/tex]

Combining like terms, we have

[tex] = \: 28 {x}^{3} + (28 {x}^{2} + 20 {x}^{2} ) + (42x + 20x) + 30[/tex]

[tex] = \: 28 {x}^{3} + 48 {x}^{2} + 62x + 30[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Step-by-step explanation:

hear is your answer in attachment

Answer:

c. one-tailed test, with rejection region in the upper tail.

Step-by-step explanation:

One tailed test is statistical test in which critical area of distribution is one sided and greater or less than certain value. One tailed test can be left or right sided depending on the population distribution. Rejection region of the one tailed test will determine whether to accept or reject the null hypothesis.

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: (x - 5)(x - 4) }}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\blue{Step-by-step\:explanation}}{\blue{:}}}}}[/tex]

[tex] {x}^{2} - 9x + 20[/tex]

[tex] = {x}^{2} - 4x - 5x + 20[/tex]

Taking "[tex]x[/tex]" as common from first two terms and "[tex]5[/tex]" from last two terms, we have

[tex] = x(x - 4) - 5(x - 4)[/tex]

Taking the factor [tex](x-4)[/tex] as common,

[tex] = (x - 5)(x - 4)[/tex]

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]

Answer:

Letter C

Step-by-step explanation:

Given:

[tex]5a+18<-27[/tex]

Subtract 18 from both sides

[tex]5a<-45[/tex]

Divide 5 from both sides to get [tex]a[/tex] alone

[tex]a<-9[/tex]

Letter C is the correct answer choice because the dot is at -9, the arrow is facing to the left, and the dot is open indicating that it's not greater/less than ""or equal to"".

Hope this is helpful

Answer:

[tex]y = -\frac{1}{2}n + 15[/tex]

Step-by-step explanation:

Linear equation:

A linear equation has the following format:

[tex]y(n) = an + b[/tex]

In which a is the slope and b is the y-intercept.

When she plants 30 stalks, each plant yields 30 oz of beans. When she plants 34 stalks, each plant produces 28 oz of beans.

This means that we have these following two points: (30,30) and (34,28).

Finding the slope:

When we have two points, the slope is given by the change in the output y divided by the change in the input n.

Change in the output: 30 - 28 = 2.

Change in the input: 30 - 34 = -4. So

[tex]a = \frac{2}{-4} = -\frac{1}{2}[/tex]

So

[tex]y = -\frac{1}{2}n + b[/tex]

Finding b:

When [tex]n = 30, y = 30[/tex]. We replace this into the equation to find b. So

[tex]y = -\frac{1}{2}n + b[/tex]

[tex]b = -\frac{1}{2}(30) + 30[/tex]

[tex]b = -15 + 30 = 15[/tex]

So

[tex]y = -\frac{1}{2}n + 15[/tex]

Answer:

MATH

Dior H. asked • 01/13/21

graph the line with the slope 1/2 and y-intercept -2

i need help badly i am crying because its hard

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1 Expert Answer

By:

Raymond B. answered • 01/14/21

TUTOR 5 (1)

Math, microeconomics or criminal justice

ABOUT THIS TUTOR ›

y=mx + b is the standard slope intercept form for a line

m=1/2, b =-2

y=(1/2)x -2. y-intercept is -2 or the point (0,-2)

x intercept is found by setting y=0 and solving for x

0=(1/2)x - 2

(1/2)x = 2

x = 4 = the x intercept or (4,0)

plot the 2 intercepts (0,-2) and (4,0)

(4,0) is on the x axis, 4 units to the right of the origin (0,0)

(0,-2) is on the y axis, 2 units below the origin

once you plot those two points, draw a straight line connecting them. That's the graph of the line

Answer:

2329

Step-by-step explanation:

2000 - 125 - 127 + 1719 - 356 - 782 = 2329

Answer:

Option 1

Step-by-step explanation:

3x - 7y = -7y + 3x

They have simply been moved to opposite ends of the equation.

Answer:

0.4

Step-by-step explanation:

0.2+0.2+0.2=0.6

1.0-0.6=0.4

This isn't 0.2 like the others which is why it's a biased dice like it says.

[tex]x= \pi[/tex]

Step-by-step explanation:

[tex]\cos^2x+\cos x+1=0[/tex]

Let [tex]u= \cos x[/tex]

Then [tex]u^2+2u+1=(u+1)^2=0[/tex]

or

[tex]\cos x = -1[/tex]

This gives us [tex]x= \pi[/tex] or all integer multiples of [tex]\pi (n \pi)[/tex]

Solution :

a). P(X = x)

     =   [tex]$p(1-p)^x$[/tex]  for x = 0, 1, 2, ....

   P(x ≤ 3) = 0.837

b). Expectation = [tex]$\frac{(1-p)}{p}$[/tex]

                        = 1.7397

  Variance = [tex]$\frac{(1-p)}{p^2}$[/tex]

                 = 4.7663726

  Standard deviation = 2.1832

 Therefore, mean + standard deviation

                  = 1.7397 + 2.1832

                  = 3.9229

[tex]$P(x > 3.9229) = 0.1626$[/tex]

So the required P = 2 x 0.1626

                             = 0.325

did u add the attachment of the the statements? cuz i dont see it.

Answer:

Number of black balls=2

Total number of balls=3

Probability =2/3

Answer:

(a) [tex]A = A_0 * e^{kt}[/tex]

(b) There will be 1lb left after 14 hours

Step-by-step explanation:

Solving (a): The equation

Since the substance decomposes at a proportional rate, then it follows the following equation

[tex]A(t) = A_0 * e^{kt}[/tex]

Where

[tex]A_0 \to[/tex] Initial Amount

[tex]k \to[/tex] rate

[tex]t \to[/tex] time

[tex]A(t) \to[/tex] Amount at time t

Solving (b):

We have:

[tex]t = 4.6hr[/tex]

[tex]A_0 = 8[/tex]

[tex]A(4.6) = 4[/tex]

First, we calculate k using:

[tex]A(t) = A_0 * e^{kt}[/tex]

This gives:

[tex]A(4.6) = 8 * e^{k*4.6}[/tex]

Substitute: [tex]A(4.6) = 4[/tex]

[tex]4 = 8 * e^{k*4.6}[/tex]

Divide both sides by 4

[tex]0.5 = e^{k*4.6}[/tex]

Take natural logarithm of both sides

[tex]\ln(0.5) = \ln(e^{k*4.6})[/tex]

This gives:

[tex]-0.6931 = k*4.6[/tex]

Solve for k

[tex]k = \frac{-0.6931}{4.6}[/tex]

[tex]k = -0.1507[/tex]

So, we have:

[tex]A(t) = A_0 * e^{kt}[/tex]

[tex]A(t) = 8e^{-0.1507t}[/tex]

To calculate the time when 1 lb will remain, we have:

[tex]A(t) = 1[/tex]

So, the equation becomes

[tex]1= 8e^{-0.1507t}[/tex]

Divide both sides by 8

[tex]0.125= e^{-0.1507t}[/tex]

Take natural logarithm of both sides

[tex]\ln(0.125)= \ln(e^{-0.1507t})[/tex]

[tex]-2.0794= -0.1507t[/tex]

Solve for t

[tex]t = \frac{-2.0794}{-0.1507}[/tex]

[tex]t = 13.7983[/tex]

[tex]t = 14[/tex] --- approximated

Answer:

i dont know just study hard bro

Step-by-step explanation:

Answer:

A =36 ft^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 ( b1+b2)h where b1 and b2 are the lengths of the bases

A = 1/2 ( 13+5) *4

A = 1/2 ( 18)*4

A =36 ft^2

Answer:

I'm acutally not too sure on this but give me a moment to solve this

Step-by-step explanation:

The zeros of the quadratic function: y = 6x^2 + x – 35 are x = -2.5 or x = 7/3

The function is given as:

y = 6x^2 + x - 35

Expand the function

y = 6x^2 + 15x - 14x - 35

Factorize the function

y = (2x + 5) * (3x - 7)

Set the function to 0

(2x + 5) * (3x - 7) = 0

Split

2x + 5 = 0 or 3x - 7 = 0

Solve for x

x = -2.5 or x = 7/3

Hence, the zeros of the quadratic function: y = 6x^2 + x – 35 are x = -2.5 or x = 7/3

Read more about quadratic functions at:

https://brainly.com/question/1214333

#SPJ1

Answer:

Step-by-step explanation:

r = 1/2 unit

[tex]Volume= \frac{4}{3}\pi r^{3}\\\\=\frac{4}{3}\pi *\frac{1}{2}*\frac{1}{2}*\frac{1}{2}\\\\=\frac{1}{3}*\pi *\frac{1}{2}\\\\=\frac{1}{6}\pi[/tex]

Answer:

1/6 * 1/2 = 1/12

Step-by-step explanation:

1 number on a 6 sided die is 1 out of 6 (1/6) and an even number (2,4,6) on a 6 sided die is 3/6 or 1/2 (always simplify when multiplying fractions)

so 1 times 1 = 1 and 6 times 2 = 12 making it 1/12

Answer:

y=1/4x - 1

Step-by-step explanation:

going off of the picture, I'd say this is your answer

9514 1404 393

Answer:

  AC = 17

Step-by-step explanation:

The segment sum theorem tells you ...

  AB +BC = AC

Substituting the given expressions, we have ...

  (3x +4) +(4x -1) = (6x +5)

  x = 2 . . . . . . . . . . . . . . . . . . subtract 3+6x from both sides

  AC = 6x +5 = 6(2) +5

  AC = 17

_____

  AB = 10, BC = 7

Answer:

-2.5 or - 2 1/2

Step-by-step explanation:

Writing out the expression Mathematically ;

1/3(-15÷1/2)1/4

Using PEMDAS :

Solving the bracket first

(-15 ÷ 1/2) = (-15 * 2/1) = - 30

We have :

1/3(-30)1/4 = - 10 * 1/4 = - 10 / 4 = - 2.5

-2.5 = - 2 1/2

Answer:

* Giống nhau: đều là biểu hiện bằng tiền về lao động sống và lao động hóa trong quá trình sản xuất

* Khác nhau:

+ Về thời gian: chi phí sản xuất gắn liền với từng thời kỳ, còn giá thành sản phẩm gắn với thời hạn hoàn thành sản phẩm. ...

+ Có những chi phí được tính vào giá thành nhưng không được tính vào chi phí kỳ này.

+ Mối quan hệ chi phí và tính giá thành sản phẩm: Chi phí là cơ sở để tính giá thành, giá thành là thước đo chi phí sản xuất mà doanh nghiệp bỏ ra để có được khối lượng hoàn thành.

+ Có nhiều chi phí phát sinh trong kỳ nhưng chưa có sản phẩm hoàn thành do đó chưa có giá thành.

Step-by-step explanation:

Step-by-step explanation:

the answer is in the above image

Answer:

x = 1

y = 5

z = 2

Step-by-step explanation:

System of equations:

6x - 2y + z = -2

2x + 3y - 3z = 11

x + 6y = 31

Isolate one variable in any of the equations:

x + 6y = 31

x = 31 - 6y

Plug in this value for x in another equation:

6(31 - 6y) - 2y + z = -2

186 - 36y - 2y + z = -2

186 - 38y + z = -2

-38y + z = -188

z = -188 + 38y

Plug in these values in the remaining equation:

2(31 - 6y) + 3y - 3(-188 + 38y) = 11

62 - 12y + 3y + 564 - 114y = 11

626 - 12y + 3y - 114y = 11

626 - 9y - 114y = 11

626 - 123y = 11

-123y = -615

y = 5

Plug in value of y into our other answers to solve for x and z:

x = 31 - 6(5)

x = 31 - 30

x = 1

z = -188 + 38(5)

z = -188 + 190

z = 2

Check your work:

6x - 2y + z = -2

6(1) - 2(5) + 2 = -2

6 - 10 + 2 = -2

-4 + 2 = -2

-2 = -2

Correct!

*Note there are several ways to solve for these types of problems. I used substitution*

Answer:

4033

Step-by-step explanation:

An easy way to solve this problem is to notice the numerator, 2017^4-2016^4 resembles the special product a^2 - b^2. In this case, 2017^4 is a^2 and 2016^4 is b^2. We can set up equations to solve for a and b:

a^2 = 2017^4

a = 2017^2

b^2 = 2016^4

b = 2016^2

Now, the special product a^2 - b^2 factors to (a + b)(a - b), so we can substitute that for the numerator:

We can notice that both the numerator and denominator contain 2017^2 + 2016^2, so we can divide by [tex]\frac{2017^2+2016^2}{2017^2+2016^2}[/tex] which is just one, and will simplify the fraction to just:

2017^2 - 2016^2

This again is just the special product a^2 - b^2, but in this case a is 2017 and b is 2016. Using this we can factor it:

(2017 + 2016)(2017 - 2016)

And, without using a calculator, this is easy to simplify:

(4033)(1)

4033

Answer:

LHS×0=RHS×0

0=0

hence,proved

Answer:

0.2 amps

Step-by-step explanation:

Given data

The formula V=IR is the formula for ohms law

Which state that  the voltage is directly proportional to the current and the resistance in an electric circuit

Now

R= 15 ohms

V= 3volts

V= IR

3= I*15

I= 3/15

I= 0.2 amps

Hence he current flowing is 0.2 amps