plssssss helppppp i give 98 points

Answer:

308

Step-by-step explanation:

so to find how much a rectangular prisim is by

length * with* height

11* 7 * 12

= 924 cubic feet

and then we just divid by 3

=308

Answer:

$4.73

Step-by-step explanation:

just do 20 minus 15.27

To solve this problem, we have to calculate the volume of a hemisphere and the volume of a cylinder and add them together. The volume of the glass can be only be calculated when we find the volume of the hemisphere and the volume of the cylinder and then add then up together.

The volume of a hemisphere is given as

[tex]v = \frac{2}{3} * \pi * r^3[/tex]

Data

Let's substitute the values into the equation and solve.

[tex]v = \frac{2}{3} * \pi * r^3\\v = 56.556cm^3\\[/tex]

The formula of volume of a cylinder is

[tex]v = \pi r^2 h[/tex]

data given

Let's substitute the values into the equation and solve

[tex]v = \pi r^2 h\\v = 3.142 * 3^2 * 3\\v = 84.834cm^3[/tex]

Let's add both volumes together so we have the volume of the glass cup

[tex]56.556 + 84.834 = 141.39cm^3[/tex]

The volume of the glass can be only be calculated when we find the volume of the hemisphere and the volume of the cylinder and then add then up together.

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The coordinates of the vertex of the given parabola [tex]y=x^2+5x+10[/tex] will be [tex](\dfrac{5}{2},\dfrac{15}{4})[/tex].

Vertex of the parabola is the point of intersection of symmetry axis of the parabola and the parabola itself.

The given equation of parabola is [tex]y=x^2 + 5x + 10[/tex].

To get the coordinates of vertex of this parabola, we have to write the equation of parabola in the standard form.

So, write the equation of parabola in its standard form as,

[tex]y=x^2 + 5x + 10\\y=x^2+2\times \dfrac{5}{2}x+\dfrac{25}{4}-\dfrac{25}{4}+10\\y=(x-\dfrac{5}{2})^2+\dfrac{15}{4}\\(y-\dfrac{15}{4})=(x-\dfrac{5}{2})^2[/tex]

The standard form of parabola is,

[tex]y-b=(x-a)^2[/tex] where (a, b) is the coordinate of the vertex.

So, by comparing the equations, the vertex of the parabola will be [tex](\dfrac{5}{2},\dfrac{15}{4})[/tex].

Therefore, the coordinates of the vertex of the given parabola [tex]y=x^2+5x+10[/tex] will be [tex](\dfrac{5}{2},\dfrac{15}{4})[/tex].

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Answer:

[tex]y = 5[/tex].

Or, equivalently:

[tex]\begin{aligned}\begin{bmatrix}0 \\ -3 \\ 0\end{bmatrix} \left(\begin{bmatrix}x \\ y \\ z\end{bmatrix} - \begin{bmatrix}1 \\ 5 \\ -3\end{bmatrix}\right) = 0\end{aligned}[/tex].

Step-by-step explanation:

Every plane in [tex]\mathbb{R}^{3}[/tex] could be represented with a vector equation of the form [tex]\vec{n}\, (\vec{r} - \vec{r}_{0}) = 0[/tex], where:

Notice that in this question, the coordinates (and hence the position vectors) of the points in this plane are already given. For example, the position vector of the point [tex](1,\, 5,\, -3)[/tex] is the vector:

[tex]\begin{aligned}\vec{r}_{0} = \begin{bmatrix}1 \\ 5 \\ -3\end{bmatrix}\end{aligned}[/tex].

Specifically in [tex]\mathbb{R}^{3}[/tex], normal vectors of a plane could be found by:

Subtracting position vectors of points in this plane from each other would give directions that are parallel to this plane:

[tex]\begin{aligned}\begin{bmatrix}2 \\ 5 \\ -3\end{bmatrix} - \begin{bmatrix}1 \\ 5 \\ -3\end{bmatrix} = \begin{bmatrix}1 \\ 0 \\ 0\end{bmatrix}\end{aligned}[/tex].

[tex]\begin{aligned}\begin{bmatrix}3 \\ 5 \\ 2\end{bmatrix} - \begin{bmatrix}1 \\ 5 \\ -3\end{bmatrix} = \begin{bmatrix}2 \\ 0 \\ 5\end{bmatrix}\end{aligned}[/tex].

The cross product between these two vectors in [tex]\mathbb{R}^{3}[/tex] would be:

[tex]\begin{aligned} \vec{n} = \begin{bmatrix}1 \\ 0 \\ 0\end{bmatrix} \times \begin{bmatrix}2 \\ 0 \\ 5\end{bmatrix} = & \begin{bmatrix}0 \times 5 - 0 \times 0 \\ 0 \times 2 - 1 \times 5\\ 1 \times 0 - 0 \times 2\end{bmatrix} = \begin{bmatrix}0 \\ -3 \\ 0\end{bmatrix}\end{aligned}[/tex].

(Note that the cross product between other directions parallel to the plane might give other normal vectors that are parallel to the one in this example.)

Using the position vector of the point [tex](1,\, 5,\, -3)[/tex] as [tex]\vec{r}_{0}[/tex], one possible vector equation for this plane would be:

[tex]\begin{aligned}\begin{bmatrix}0 \\ -3 \\ 0\end{bmatrix} \left(\begin{bmatrix}x \\ y \\ z\end{bmatrix} - \begin{bmatrix}1 \\ 5 \\ -3\end{bmatrix}\right) = 0\end{aligned}[/tex].

Expand the dot product and simplify to obtain a scalar equation for this plane:

[tex]\begin{aligned}\begin{bmatrix}0 \\ -3 \\ 0\end{bmatrix} \begin{bmatrix}x - 1 \\ y - 5 \\ z - (-3)\end{bmatrix} = 0\end{aligned}[/tex].

[tex]0\, (x - 1) + (-3)\, (y - 5) + 0\, (z - (-3)) = 0[/tex].

[tex](-3)\, (y - 5) = 0[/tex].

[tex]y = 5[/tex].

Answer:

the answer of√343k is 18k

Answer:

x = -3 + √42

Step-by-step explanation:

1) Expand the square

2) Distribute
3) Distribute

4) Distribute

5) Combine like terms

6) Add the numbers

7) Move terms to the left side

8) Subtract the numbers

9) Use the quadratic formula

10) Simplify

11) Separate the equations

12) Solve

Therefore, the solution of this equation is x = -3 + √42

Step-by-step explanation:

(x + 3)² + 4 = 46

(x + 3)² = 42

x + 3 = ±sqrt(42)

x = ±sqrt(42) - 3

x1 = sqrt(42) - 3 = 3.480740698...

x2 = -sqrt(42) - 3 = -9.480740698...

Answer:

The additive inverse of the number -10 1/4 is +41/4

The additive inverse of any number is such a number added to the given number to get zero.

Let the additive inverse of the given number be "x", hence:

-10 1/4 + x = 0

x = 0 - (-10 1/4)

x = 10 1/4

x = 41/4

Hence the additive inverse of the number -10 1/4 is +41/4

Answer:  y=4/3x+1

Step-by-step explanation:

The formula is Y=mx+b

b is the y-intercept and MX is slope

Answer:30.28 cm^2

Step-by-step explanation: area of the rectangle = 6x4 = 24

area of semicircle -> (πr^2)/2

radius of semcircle = 4/2 = 2

area of this question semicricle = (π2^2)/2

= 6.28 (3 s.f.)

total area = 24+6.28 =30.28 cm^2

remember put units ^^

Answer:

560

Step-by-step explanation:

16 times 5 times 4=320

6 times 16 divide 2 then multiple 5

Answer:

1.

Step-by-step explanation:

1) if sin30=0.5; tan45=1; tan30=1/√3; sin60=√3/2, then

2) 0.5+0.5=1.

Answer:  

Area: 153.86

Circumference: 43.96

Answer:

1875

Step-by-step explanation:

3x5 = 15

15x 5 = 75

75x 5 = 375

375 x 5 = 1875

1875 because at the end of the next week, which basically turns 8 weeks into 4, and the number of contaminants multiply by 5 each other week.

Answer:

Step-by-step explanation:

f(w) = [tex]w^{2}[/tex] + 6w

f(w) = f(-2) = [tex](-2)^{2}[/tex] + 6*(-2) = 4 - 12 = -8

f(w) = f(-1) = [tex](-1)^{2}[/tex] + 6*(-1) = 1 - 6 = -5

f(w) = f(0) = [tex]0^{2}[/tex] + 6*0 = 0 + 0 = 0

f(w) = f(1) = [tex]1^{2}[/tex] + 6*1 = 1 + 6 = 7

Answer:4/3

4/3

Step-by-step explanation:

Answer:

b x h

Step-by-step explanation:

product of the base (b) and the height (h) just means b x h.

Answer:

The answer is:

the first one

second one

:D

Step-by-step explanation:

in this case, any number in the tens place less than five will make the number round down

Answer:

The answer is x = 10.

Step-by-step explanation:

Two options:

1. Looking at the image it looks like a parallelogram. So, most side lengths are equal to each other or are the same.

2. We can use the Pythagorean Theorem to solve for x.

The expression which is not equivalent to the provided expression is expression number 1, x²(-4x+1)-2(3x-4).

Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.

The expression given in the problem is

f(x)=-4x³+x²-6x+8

The option given as,

From the given expression, if we take out x from the first three terms, it looks like option 2.

f(x)=-4x³+x²-6x+8

f(x)=x(-4x²+x-6)+8

From the given expression, if the last three terms factored, it looks like option 3.

f(x)=-4x³+x²-6x+8

f(x)=-4x³+x^2-4x-2x+8

f(x)=-4x³+x(x-4)-2(x-4)

f(x)=-4x³+(x-4)(x-2)

Rearrange the given expression, and make it looks like option 4.

f(x)=-4x³+x²-6x+8

f(x)=-4x²+8+x²-6x

f(x)=-4(x³-2)+x(x-6)

Thus, the expression which is not equivalent to the provided expression is expression number 1, x²(-4x+1)-2(3x-4).

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Answer:

A. Similar - AA

Step-by-step explanation:

The AA similarity postulate states that two triangles are similar if they have two congruent corresponding angles.

The triangles in the picture have two corresponding congruent angles.

Similar triangles may or may not be congruent

The true statement is (a) Similar - AA

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

From the complete question, we have the following highlights about the triangles

The angles at points A and D are congruent (85 degrees)

The angles at points B and E are congruent (30 degrees)

This means that the triangles are similar.

The similarity theorem is the AA theorem i.e. Angle-Angle

Hence, the true statement is (a) Similar - AA

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Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. The amount that will be in the account after 10 years is $651.56.

Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. It's the outcome of reinvesting interest rather than paying it out so that interest is received on the principal plus previously collected interest in the next quarter.

[tex]A = P(1+ \dfrac{r}{n})^{nt}[/tex]

The principal amount is $400 which is invested for a period of 10 years at an interest rate of 5% annually. Therefore, the amount in the account after 10 years will be,

[tex]A = P(1+ \dfrac{r}{n})^{nt}\\\\A = \$400 (1+ \dfrac{0.05}{1})^{1 \times 10})\\\\A=\$651.56[/tex]

Hence, the amount that will be in the account after 10 years is $651.56.

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Answer:

Steps

-x/3 >5

Multiply both sides by 3

3(-x/3)>5.3

Simplify

-X> 15

Multiply both sides by - 1 (reverse the inequality)

(-x)(-1)<15(-1)

Simplify

X< -15

so C is the answer

The economic order quantity of the product with the demand of 390 units is 1392.86 units.

This refers to an inventory management technique that helps make efficient inventory management decisions.

The formula for economic order quantity is [tex]\sqrt{2 * D * S / H}[/tex]

Given data

Demand = 390 units.

Unit price of product is ETB 25.

Ordering cost is ETB 40 per order

inventory carrying cost is estimated to be 35 percent per yer

EOQ = [tex]\sqrt{2*390*25/40*0.35}}[/tex]

EOQ = 19,500 / 14

EOQ = 1392.85714286

EOQ = 1392.86 units

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Answer:

C) f(x) = (x - 1)(x - 1)(x-6)

Explanation:

Multiplicity means number of times a factor appears in a particular equation.

For example, a root of 3 has multiplicity of 3 then = (x - 3)(x - 3)(x - 3)

Breakdown for this question:

If a polynomial where root of 1 has multiplicity of 2, then it means (x - 1)²

Where polynomial of root of 6 has multiplicity of 1, then it means (x - 6)

Joining them together:

(x - 1)²(x - 6) = (x -1)(x - 1)(x - 6) Hence option C is correct.

Answer:  It breaks up into 864+216

Reason:

x = some positive real number

The ratio 4:1 scales up to 4x:1x, so we have two parts one is 4x and the other is 1x. Those two parts add up to 1080

4x+1x = 1080

5x = 1080

x = 1080/5

x = 216

We can then find 4x = 4*216 = 864

As a check: 864+216 = 1080, so the answer is confirmed.