Simplify the expression. 5–3 • 70

Answer:

150π cm³

Step-by-step explanation:

Hey There!

The first step to solving this equation is to volume of a cylinder

[tex]V=\pi r^{2} h[/tex]

r=radius

h=hypotenuse

now we just plug in the numbers

we now have

[tex]V=\pi 5^{2} 6\\5^{2} =25\\6x25=150\\V=150\pi[/tex]cm³

hope this helps :)

Answer:

... 150π cm³

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ℍ !

Answer:

[tex]x = -1[/tex] or [tex]x = -11[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 2|x+6| - 4[/tex]

Required

Find x when

[tex]f(x) = 6[/tex]

Substitute 6 for f(x)

[tex]6 = 2|x+6| - 4[/tex]

Add 4 to both sides

[tex]4+6 = 2|x+6| - 4+4[/tex]

[tex]10 = 2|x+6|[/tex]

Divide both sides by 2

[tex]5 = |x + 6|[/tex]

Rewrite as:

[tex]|x + 6| = 5[/tex]

This can be split to:

[tex]x + 6 = 5[/tex] or [tex]-(x + 6)=5[/tex]

Solve for x in both cases

[tex]x = 5 - 6[/tex] or [tex]x + 6 = -5[/tex]

[tex]x = -1[/tex] or [tex]x = -6 - 5[/tex]

[tex]x = -1[/tex] or [tex]x = -11[/tex]

Answer:

i think it’s x= -1, x = -11

Step-by-step explanation:

Answer:

the function is increasing on (-4, 1)

Step-by-step explanation:

First the graph descends (drops), until it reaches x = -4.  Then the graph rises, until x = 1.  Thus, we say "the function is increasing on (-4, 1)."

Answer:

9

Step-by-step explanation:

Hey There!

If you didnt know the given angles in the triangle added together equal the missing triangles supplement aka z+50

So all we have to do is set up an equation

z+50=30+6x-45

step 1 combine like terms

30-45=-15

now we have

z+30=6x-15

step 2 add 15 to each side

-15+15 cancels out

30=15=45

now we have

z+45=6z

step 3 subtract z from each side

z-z cancels out

6z-z=5z

now we have

45=5z

step 4 divide each side by 5

5/5 cancels out

45/5=9

z=5

so we can conclude that z=9

hope this helps :)

Answer:

V=462.076m ^3

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Answer:

9 hours

Step-by-step explanation:

If he earns 12.50 an hour...

112.50 ÷ 12.50 = 9 hours

Answer:

9 hours

Step-by-step explanation:

112.50 ÷ 12.50 = 9 or 9 hours

Answer:

b

Step-by-step explanation:

Answer:

Surface area

Step-by-step explanation:

Area is the space taken up by one surface plane

Volume is the amount of space taken up by the entire object

Perimeter is the length of all the edges of the shape combined

Answer:

[tex]x^3-3x^2+3x-1[/tex]

Step-by-step explanation:

the volume of a cube is the side length cubed, which in this case is [tex](x-1)^3[/tex], which simplifies to [tex]\boxed{x^3-3x^2+3x-1}[/tex].

Answer:

Step-by-step explanation:

The line has two clear points (6,10) and (2,2)

y=mx+b

m=(y2-y1)/(x2-x1)

m=(2-10)/(2-6)=-8/-4=2 so far our line is

y=2x+b, using point (2,2) we can solve for b

2=2(2)+b

2=4+b

b=-2 so our line is

y=2x-2, and we want to know the coordinates for (4,b)

b=2(4)-2

b=8-2

b=6

Now we want to know the coordinates for (a,8)

8=2a-2

10=2a

a=5

Answer:

7.88

Step-by-step explanation:

Hope this helps :D

When rounding to the nearest hundredth, the number 7.884 becomes 7.88.

To round 7.884 to the nearest hundredth, we look at the digit in the thousandth place, which is 8.

Now, If the digit to the right is less than 5, you simply drop all the digits to the right and keep the desired decimal place unchanged.

If the digit to the right is 5 or greater, you round up the desired decimal place by increasing it by one. Drop all the digits to the right.

Since 8 is greater than or equal to 5, we round up the digit in the hundredth place.

Therefore, when rounding to the nearest hundredth, the number 7.884 becomes 7.88.

Learn more about Rounding off here:

https://brainly.com/question/13391706

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Answer:

we need the graph in order to find the answer.

Step-by-step explanation:

Answer:

I guess it's 8

Step-by-step explanation:

Answer: The second one, B

Step-by-step explanation:

Answer:

(c)- 4/13

Step-by-step explanation:

There are 4 types of cards in a ordinary deck clovers, diamands, hearts, and spades

each set has 1 seven each, so 4 sevens total.

Also, each type of card has 13 different cards in it

so, your answer is 4/13

Answer:

the correct answer is 17.5%

Step-by-step explanation:

Answer:

=> ( 546 x 65 ) /35 = 294

total seats are there : 294 +546 = 840 seats

Step-by-step explanation:

Answer:

[tex]A=2x^2+3x-5[/tex]

Step-by-step explanation:

Given that,

Length = (2x+5) cm

Width = (x-1) cm

We need to find the area of a rectangle. The formula for the area of rectangle is given by :

A = lb

[tex]A=(2x+5)(x-1)\\\\=2x^2-2x+5x-5\\\\=2x^2+3x-5[/tex]

So, the required area is equal to [tex]2x^2+3x-5[/tex].

Answer:

it would be 748 feet, sorry if im worng!

Answer:

z = 9/2

Step-by-step explanation:

1/2z = 9 1/4?

z = 9/2

Explanation:

Simplify

9 x 1/4 → 9/4

Multiply 2 to both sides to cancel out the 2

1z = 9/4

Note: 1z is just z

Answer:

[tex]\frac{1}{3}x + \frac{1}{2}[/tex]

Step-by-step explanation:

Rearranging the fractions:

[tex]\frac{1}{3} x+\frac{2}{3} x-\frac{2}{3} x +\frac{3}{4} -\frac{1}{4} \\\\= \frac{1}{3} x +\frac{2}{4} \\\\= \frac{1}{3} x + \frac{1}{2}[/tex]

Answer:

Sergio will buy the kayak first in 33.33 weeks.

Step-by-step explanation:

Sergio's per week savings = $24

Let the period of the savings = x

Then total savings of Sergio in x weeks = $24x

If y represents the total amount,

y = 24x ------(1)

Table given in the picture represents the savings of Lia.

If the points given in the table are plotted on graph, a straight line is formed.

Let the equation of the line is,

y = mx + b

m = Slope of line

b = y-intercept

Slope of the line = Savings per week

                            = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

For two points (4, 72) and (8, 144) lying on the straight line,

Slope 'm' = [tex]\frac{144-72}{8-4}[/tex]

               = [tex]\frac{72}{4}[/tex]

               = 18

Equation of the line will be,

y = 18x + b

Since, (12, 216) also lies on the line,

216 = 18(12) + b  

b = 216 - 216

b = 0

Therefore, equation of the line will be,

y = 18x -----(2)

Cost of kayak = $800

For Lia's savings,

800 = 18x

18x = 800

x = 44.44 weeks

For Sergio,

800 = 24x

x = 33.33 weeks

Therefore, Sergio will be able to buy the kayak first and it will take 33.33 weeks to purchase.

Answer:

They found 15 shells together :)

brainliest pls :D

Step-by-step explanation:

5+(5*2)=15

Answer:

15

Step-by-step explanation:

Jayda has 5

Ruby has twice as much as that which means she has 5(2)

Ruby has ten

Combine

15

:)

Answer:

no, because the hypotenuses must have different lengths

Step-by-step explanation:

Yes, the given two triangles DEF and ABC are congruent, if AB ≅ DE.

Given that, EFD and ABC are two triangles.

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

Here,

If the hypotenuse and one leg of a triangle is equal to the hypotenuse and leg of another triangle then they are congruent.

From the triangles DEF and ABC,

∠F = ∠B (Equal angles measures 90°)

DF = AC (Equal in measure, which 7 cm)

To satisfy congruence, two sides and an angle have to be equal, if AB = DE then the two triangles would be congruent.

Yes, the given two triangles DEF and ABC are congruent, if AB ≅ DE.

To learn more about the congruent theorem visit:

https://brainly.com/question/24033497.

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I think it´s all of them except 1.33

Answer:

52%

There were 50 Students surveyed

12 girls preferred to work at the senior center

14 boys preferred to work at the senior center

12 + 14 = 26 students prefer to work at the senior center

26 students out of 50 students= 26/50

26/50= 52%

Step-by-step explanation:

Answer:

y = x² - 4x - 5

Step-by-step explanation:

y = x² - 4x - 5 = x² + x - 5x - 5 = x (x + 1) -5 (x + 1) = (x − 5) (x + 1)

x intercepts, value that cancels each: x = 5, x = -1

Answer:

2(x-2) + 3 (4x-1) = 0​

x = 1/2