If someone was born 49 months ago, in which year were they born?

The area of the base of a cylindrical container is defined by b(x) = x*2 - x + 12. Find

vagabundo [1.1K]

Answer: $V=x^3-2x^2+13x-12$

Step-by-step explanation:

Given

The area of the base is given by $b(x)=x^2-x+12$

The height of the container is $h(x)=x-1$

The volume of the cylindrical container is

$V=Area\times height$

Insert the values

$\Rightarrow V=\left( x^2-x+12\right)\cdot \left(x-1\right)\\\Rightarrow V=x^3-x^2+12x-x^2+x-12\\\Rightarrow V=x^3-2x^2+13x-12$

4 0

2 years ago

Pls help me! and no files and pls actually help me

crimeas [40]

Answer:

To find m ( slope) we'll use the Slope Formula:

$\boxed{\sf{Slope\:(m)}=\cfrac{y_2-y_1}{x_2-x_1}}$

Subtract the numbers:-

$\sf 7. \:m=\cfrac{4-2}{6-5} =\boxed{2}$

_______________

$\sf 8.\: m=\cfrac{-1-3}{2-6} =\boxed{1}$

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$\sf 9.\: m=\cfrac{-4-(-2)}{3-1} =\boxed{-1}$

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$\sf 10.\: m=\cfrac{0-3}{0-(-3)} =\boxed{-1}$

_______________

$\sf 11.\:m=\cfrac{4-2}{3-1} =\boxed{1}$

_______________

$\sf 12.\: m=\cfrac{1-7}{2-5} =\boxed{2}$

_______________

$\sf 13.\:m=\cfrac{11-9}{1-(-4)} =\boxed{\frac{2}{5}}$

_______________

$\sf 14.\:m=\cfrac{2-3}{3-5} =\boxed{\frac{1}{2}}$

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$\sf 15.\: m=\cfrac{11-5}{2-9} =\boxed{-\frac{6}{7}}$

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$\sf 16.\: m=\cfrac{-7-\left(-6\right)}{8-13}=\boxed{\frac{1}{5}}$

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$\sf 17.\: m=\cfrac{4-4}{6-1} =\boxed{0}$

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$\sf 18. \: m=\cfrac{2-(-7)}{5-5}=$

↑ Undefined

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6 0

2 years ago

-5x -10 >30 help Hehehehehe.

Mnenie [13.5K]

Answer:

x<-8

Step-by-step explanation:

-5x-10>30

(add 10 to both sides)

-5x-10+10>30+10

-5x>40

$\frac{-5x}{-1}$ < $\frac{40}{-1}$

(dividing through by -1 changes the sign of the inequality from "<" to ">")

5x<-40

(dividing through by 5)

$\frac{5x}{5}$ < $\frac{-40}{5\\}$

x<-8

4 0

3 years ago

The annual salaries of all employees at a financial company are normally distributed with a mean of $34,000 and a standard devia

lora16 [44]

z-score of a company is 5.

What is z- test?

A z-test is a statistical test used to determine whether two population means are different when the variances are known and the sample size is large.

The annual salaries of all employees at a financial company are normally distributed with a mean of $34,000 and a standard deviation of $4,000.

Now, using z- score

z= (x- $\mu$ )/ $\sigma$

z= 54000- 34000/ 4000

z= 20000/4000

z=5.

Hence, z-score of a company is 5.

Learn more about this concept here:

brainly.com/question/1546834

#SPJ1

8 0

1 year ago

Find an equation of the circle that satisfies the given conditions. Endpoints of a diameter are P(−2, 1) and Q(8, 9)

IrinaK [193]

Answer:

Equation of the circle (x-3)²+(y-5)²=(6.4)²

x² -6x +9 +y² -10y +25 = 40.96

Step-by-step explanation:

Step(i):-

Given endpoints of diameter P(−2, 1) and Q(8, 9)

Centre of circle = midpoint of diameter

Centre = $(\frac{-2+8}{2} ,\frac{1+9}{2} )$

Centre (h, k) = (3 , 5)

Step(ii):-

The distance of two end points

PQ = $\sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1} )^{2} }$

$PQ= \sqrt{(8+2 )^{2} +(8 )^{2} }$

PQ = √164 = 12.8

Diameter d = 2r

radius r = d/2

Radius r = 6.4

Final answer:-

Equation of the circle

(x-h)²+(y-k)² = r²

(x-3)²+(y-5)²=(6.4)²

x² -6x +9 +y² -10y +25 = 40.96

x² -6x +y² -10y = 40.96-34

x² -6x +y² -10y -7= 0

4 0

3 years ago