What is the volume?
10 ft
8 ft

10y-6z

10×5=50

6×3=18

50-18=32

y= 5, z= 3

10y - 6z

{Applying The Values}

10y - 6z

=10×5 - 6×3

=50 - 18

= 32

Answer:

(1, - 2 )

Step-by-step explanation:

Given the equations

9x + 2y = 5 ( subtract 9x from both sides )

2y = 5 - 9x ( divide terms by 2 )

y = 2.5 - 4.5x → (1)

7x - 3y = 13 → (2)

Substitute y = 2.5 - 4.5x into (2)

7x - 3(2.5 - 4.5x) = 13

7x - 7.5 + 13.5 = 13 , that is

7x + 6 = 13 ( subtract 6 from both sides )

7x = 7 ( divide both sides by 7 )

x = 1

Substitute x = 1 into (1) and evaluate for y

y = 2.5 - 4.5(1) = 2.5 - 4.5 = - 2

solution is (1, - 2 )

Answer: Vertical test shows that each input has exactly one output. Both functions displayed should be functions. (Use vertical line and make sure it only intersects at one place)

Answer:

x = 7

Step-by-step explanation:

[tex]x + 4 \div 8 = 30 \div 4[/tex]

[tex]x + 0.5 = 7.5[/tex]

[tex]x = 7.5 - 0.5[/tex]

[tex]x = 7[/tex]

Answer:

56

Step-by-step explanation:

x+4=30*2

x=60-4

x=56

Answer:

The solution would be located at the location where the 2 lines intersect:

(2, -5)

Step-by-step explanation:

Answer:

90????

Step-by-step explanation:

is this a tongue twister or what??

Step-by-step explanation:

3x² - 8x + 4 =

3x² - 6x -2x + 4 =

3x(x-2) -2(x-2) =

(3x -2)(x-2)

[tex]\\ \sf\longmapsto 3x^2-8x+4[/tex]

[tex]\\ \sf\longmapsto 3x^2-6x-2x+4[/tex]

[tex]\\ \sf\longmapsto 3x(x-2)-2(x-2)[/tex]

[tex]\\ \sf\longmapsto (x-2)(3x-2)[/tex]

[tex]\\ \sf\longmapsto Done![/tex]

Answer:

Ray AE and Ray EC

Step-by-step explanation:

opposite rays are those that share the same midpoint but extend in opposite directions

Answer:

Answer:

-63

Step-by-step explanation:

Solve parenthisis first. Solve the exponent inside the parenthhisis. 4 to the 2nd power is 16. -25+16=-9. -9*7=-63

P

E

MD

AS

Answer:

Step-by-step explanation:

PEDMAS stands for

Parentheses (brackerts

Exponents (squared, squared roots, powers)

Divide and Multiply from left to right

Add and Subtract from left to right

This means in this case that we first look at everything inside the brackets and at the end multiply by 7. The inside of the brackets says -25 + 4². In PEDMAS, the E (exponent) comes before A (add), so we do 4² first and then we do the -25. This results in:

-25 + 4² =

-25 + 16 =

-9

So now we are left with (-9) x 7

This is just a multiplication which gives us -63.

I hope this helps!

Answer:

D . p = 50

Step-by-step explanation:

To find the value of p we first need to find the values of inner angles

180 - 140 (linear pair)

= 40

180 -90 (linear pair)

= 90

now use angle sum property of triangle

40 + 90 + p = 180

130 + p = 180

p = 180 - 130

p = 50

Answer:

26

Step-by-step explanation:

The question requires you to find the value of x given the expression and distance

The value of x = 26

Driver's first stoppage = 53 miles

Distance remaining = 41 miles

Total distance = Driver's first stoppage + Distance remaining

= 53 + 41

= 94 miles

Given expression:

3x + 16

If 3x + 16 = 94

Then,

3x = 94 - 16

3x = 78

x = 78 / 3

x = 26

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Answer:

5/4 or 1 1/4 cup of oil

Step-by-step explanation:

Let's make a ratio. 1/4:10. We need to multiply 10 by 5 to get 50 cookies and do the same on the other side of the ratio. 1/4x5=5/4 or 1 1/4 and 10x5 is 50. So our final ratio would be 5/4:50. Hope this helped.

(a) See the attached sketch. Each shell will have a radius y chosen from the interval [2, 4], a height of x = 2/y, and thickness ∆y. For infinitely many shells, we have ∆y converging to 0, and each super-thin shell contributes an infinitesimal volume of

2π (radius)² (height) = 4πy

Then the volume of the solid is obtained by integrating over [2, 4]:

[tex]\displaystyle 4\pi \int_2^4 y\,\mathrm dy = 2\pi y^2\bigg|_{y=2}^{y=4} = 2\pi (4^2-2^2) = \boxed{24\pi}[/tex]

(b) See the other attached sketch. (The text is a bit cluttered, but hopefully you'll understand what is drawn.) Each shell has a radius 9 - x (this is the distance between a given x value in the orange shaded region to the axis of revolution) and a height of 8 - x ³ (and this is the distance between the line y = 8 and the curve y = x ³). Then each shell has a volume of

2π (9 - x)² (8 - x ³) = 2π (648 - 144x + 8x ² - 81x ³ + 18x ⁴ - x ⁵)

so that the overall volume of the solid would be

[tex]\displaystyle 2\pi \int_0^2 (648-144x+8x^2-81x^3+18x^4-x^5)\,\mathrm dx = \boxed{\frac{24296\pi}{15}}[/tex]

I leave the details of integrating to you.

Answer:

[tex]f(x) = 25 \times {1.25}^{x} [/tex]

Step-by-step explanation:

1.25 ^ -2 = 0.64 × 25 = 16

1.25 ^-3 =0.512 × 25 =12.8

Answer:

1.01111 is the right answer

The two number which lies between 1 and 1.11111 be : 1.01111 and 1.00111

A fraction represents a part of a whole or, more generally, any number of equal parts.

Given number is :

[tex]1 < \;\;\; < \frac{10}{9}[/tex]

1<     <1.11111

The number would be 1.01111 and 1.00111

There would be many number between this don't take the whole number, we just have to find number between 0 to 11111.

So,

1<1.00111<1.01111<1.11111

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Step-by-step explanation:

[tex] \sqrt{x - 2 + 8} = \sqrt{x + 6} = x[/tex]

[tex] {( \sqrt{x + 6} })^{2} = {x}^{2} [/tex]

[tex]x + 6 = {x}^{2} [/tex]

[tex] {x}^{2} - x - 6 = 0[/tex]

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

x = 3 or x = -2 we dont use the (-2) because we have a sqrt

So x =3

Step-by-step explanation:

12x+4y=12*7+4*4

           =84+16

            =100

3y+2x=3*4+2*7

         =12+14

         =26

Answer:

hope this helps and have a great dayyyyyy

Answer:

yes what we should by you

Step-by-step explanation:

rhsoba

Answer:

Step-by-step explanation:

what u want to explain ?

Answer:

Slope: - 5/4

y-intercept: - 1

Step-by-step explanation:

- 10x - 8y = 8

- 8y = 10x + 8

y = - 10x/8 -8/8

y = - 5/4x - 1

The correct solutions for the equation 4|x + 6x| + 8 = 28 are A. x=-1 and x = 11.

To solve the equation, we need to isolate the absolute value term and then solve for x. Let's go step-by-step:

Step 1: Subtract 8 from both sides of the equation:

4|x + 6x| = 28 - 8

4|x + 6x| = 20

Step 2: Divide both sides by 4:

|x + 6x| = 20 / 4

|x + 6x| = 5

Step 3: Now, since the expression inside the absolute value can be either positive or negative, we need to solve for both cases:

Case 1: (x + 6x) is positive:

x + 6x = 5

7x = 5

x = 5 / 7

Case 2: (x + 6x) is negative:

-(x + 6x) = 5

-7x = 5

x = -5 / 7

So, the possible solutions for x are x = 5/7 and x = -5/7.

However, we need to check if these solutions satisfy the original equation:

For x = 5/7:

4|5/7 + 6(5/7)| + 8 = 4|5/7 + 30/7| + 8 = 4|35/7| + 8 = 4|5| + 8 = 20 + 8 = 28

For x = -5/7:

4|-5/7 + 6(-5/7)| + 8 = 4|-5/7 - 30/7| + 8 = 4|-35/7| + 8 = 4|5| + 8 = 20 + 8 = 28

Both solutions satisfy the equation, so the correct answers are x = 5/7 and x = -5/7. However, these are not among the given options. To find the mistake, let's double-check our steps.

We made a mistake in the original problem statement. The correct equation should be: 4|x + 6| + 8 = 28.

Now, let's solve it again:

Step 1: Subtract 8 from both sides of the equation:

4|x + 6| = 28 - 8

4|x + 6| = 20

Step 2: Divide both sides by 4:

|x + 6| = 20 / 4

|x + 6| = 5

Step 3: Now, since the expression inside the absolute value can be either positive or negative, we need to solve for both cases:

Case 1: (x + 6) is positive:

x + 6 = 5

x = 5 - 6

x = -1

Case 2: (x + 6) is negative:

-(x + 6) = 5

-x - 6 = 5

-x = 5 + 6

-x = 11

x = -11

So, the correct solutions for the equation 4|x + 6| + 8 = 28 are x = -1 and x = -11, which is option B.

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Answer:

5(2x+6)

on putting x=4

then.

5(2×4+6)

5(14)

70

i hope it is helpful

The value of the given expression 5(2x + 6) for x = 4 will be 70.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

As per the given expression,

5(2x + 6)

Put x = 4

5(2x + 6) = 5(2(4) + 6)

⇒ 5(8 + 6) = 5 × 14 = 70

Hence "The value of the given expression 5(2x + 6) for x = 4 will be 70".

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Rewrite the fractions so they have a common denominator:

6/7 = 30/35

1/5 = 7/35

Now add:

30/35 + 7/35 = 37/35

37/35 = 1 and 2/35 inches of rain

Answer:

10 Students

Step-by-step explanation:

162+18= 180

180 divide by 18 is equal to 10