Which expression is equivalent to 9(4 + r)?

Answer:

Pls refer

Step-by-step explanation:

I hope you understand

Feel free to ask any doubts

Answer:

C

Step-by-step explanation:

250÷60×45=187.5

Answer is C.

The new matrix that is formed by the 3A + B is given below. Then the value of x is 102.

[tex]\begin{bmatrix} w & z \\y & z \\\end{bmatrix} = \begin{bmatrix} 46 & 102 \\15 & -2 \\\end{bmatrix}[/tex]

A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The [tex]a_{ij }[/tex] element in a matrix, such as M, refers to the i-th row and j-th column element.

The matrices are given below.

[tex]\rm A = \begin{bmatrix}9 & 27 \\0 & 6 \\\end{bmatrix}\\\\\\B = \begin{bmatrix}19 & 21 \\15 & -20\\\end{bmatrix}[/tex]

Then the new matrix is given as 3A + B. Then we have

[tex]\rm 3A + B =\begin{bmatrix} w & z \\y & z \\\end{bmatrix}\\\\\\3A + B =3 \times \begin{bmatrix}9 & 27 \\0 & 6 \\\end{bmatrix} + \begin{bmatrix}19 & 21 \\15 & -20\\\end{bmatrix}\\\\\\3A + B = \begin{bmatrix}27& 81\\0 & 18\\\end{bmatrix} + \begin{bmatrix}19 & 21 \\15 & -20\\\end{bmatrix}\\\\\\3A + B = \begin{bmatrix} 46 & 102 \\15 & -2 \\\end{bmatrix}[/tex]

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Answer:

Step-by-step explanation:

Remark

The hyperbola opens to the left. That means that if you take ruler and apply it so it sits vertically in the middle of the hyperbola and draw a straight line, the line will go through 2 points.

What that means is that there is 1 x value and 2 y values - one above the x axis and one below.

Answer

This is NOT a function

[tex]\boxed{\bold{a_n = a_{n-1} -0.8}}[/tex]

Sequence: 1.2, 0.4, -0.4, – 1.2, -2,...

See that with every next term, the integers are decreasing by 0.8

recursive formula : [tex]\sf a_n = a_{n-1} +d[/tex]

[tex]\bold a_1 = 1.2,[/tex] [tex]\sf a_n = a_{n-1} + (-0.8)[/tex]

Answer:

(5-i)

(5-4i)

(-12i^2+2i+2)

(6i^2-2i)

Answer:

center = (-2, 6)

radius = 6

Step-by-step explanation:

Equation of a circle

[tex](x-a)^2+(y-b)^2=r^2[/tex]

(where (a, b) is the center and r is the radius)

Therefore, we need to rewrite the given equation into the standard form of an equation of a circle.

Given equation:

[tex]x^2+y^2+4x-12y+4=0[/tex]

Collect like terms and subtract 4 from both sides:

[tex]\implies x^2+4x+y^2-12y=-4[/tex]

Complete the square for both variables by adding the square of half of the coefficient of [tex]x[/tex] and [tex]y[/tex] to both sides:

[tex]\implies x^2+4x+\left(\dfrac{4}{2}\right)^2+y^2-12y+\left(\dfrac{-12}{2}\right)^2=-4+\left(\dfrac{4}{2}\right)^2+\left(\dfrac{-12}{2}\right)^2[/tex]

[tex]\implies x^2+4x+4+y^2-12y+36=-4+4+36[/tex]

Factor both variables:

[tex]\implies (x+2)^2+(y-6)^2=36[/tex]

Therefore:

Answer:

200 ft per min.

Step-by-step explanation:

So this is asking if so and so can walk 3000 ft in 15 min, how many ft can they walk in 1 min.

So just divide the 3000 and 15 by 15.

So 200 over 1.

Answer:

it's 44. something

it has something to do with the part circle it's a 180%

Answer: 26.93 square inches

Step-by-step explanation:

first let us find the area of the rectangle shape

rectangle area = length times width

rectangle area = 2 times 11

rectangle area = 22 inches

now let us do the half circle area

half circle area = 1/2(πr^2)

half circle area ~ 1/2 times 3.14(1)^2

half circle area ~ 1/2 times 3.14^2

half circle area ~ 1/2 times 9.8596

half circle area ~ 4.9298

now let’s add the half circle area and the rectangle area to get our total area

total area ~ 4.9298 + 22

total area ~ 26.9298

total area ~ 26.93

26.93 square inches is the total area rounded to the nearest hundredth.

The Mean Absolute Deviation for the following data: 6, 1, 3, 8, 5, 11, 1, 5 is 2.5

The mean absolute deviation of a dataset is the average distance between each data point and the mean.

mean absolute deviation = [tex]\frac{summation|x-mean|}{n}[/tex]

where

Therefore, let's calculate the mean first.

Arrange the data in ascending order.

1, 1, 3, 5, 5, 6, 8, 11

mean = 1 + 1 + 3 + 5 + 5 + 6 + 8 + 11 / 8 = 40 / 8 = 5

Therefore, let's calculate the distance between each dat point and mean.

|1 - 5| + |1-5| + |3-5| + |5-5| + |5-5| + |6-5| + |8-5| + |11-5|

4 + 4 + 2 + 0 + 0 + 1 + 3 + 6 = 20

Hence,

mean absolute deviation = 20 / 8 = 2.5

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Answer:

You pay 67.5 for the shoes.

Step-by-step explanation:

10% of 75 is 7.5.

75 - 7.5 = 67.5

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Answer:

Here ya go! Hope it helps

base= 10 ft

height= 12 ft

the surface area of the given pyramid.

[tex]s.a = {a}^{2} + 2a \sqrt{ \frac{ {a}^{2} }{4} + {h}^{2} } [/tex]

[tex]s.a = {10}^{2} + 2 \times 10 \times \sqrt{ \frac{ {10}^{2} }{4} { \times 12}^{2} } [/tex]

[tex]s.a = 360 \: {ft}^{2} [/tex]

therefore, the surface area of the given pyramid is 360 square feets.

answer= option D

Answer:

[tex]y=2(x-2.5)^2-1.5[/tex]

Step-by-step explanation:

[tex]y=2x^2-10x+11[/tex]

Factor highest common numerical factor of the first two terms:

[tex]y=2(x^2-5x)+11[/tex]

Add [tex](\frac{-5}{2})^2[/tex] inside the parentheses and subtract [tex]2(\frac{-5}{2})^2[/tex]:

[tex]y=2(x^2-5x+6.25)+11-12.5[/tex]

[tex]y=2(x^2-5x+6.25)-1.5[/tex]

Factor parentheses:

[tex]y=2(x-2.5)^2-1.5[/tex]

Compare to vertex form of parabola

Vertex at (2.5,-1.5)

Answer:

x = 12°

Welcome to concept of Inscribed Angle theorem

In the diagram shown above, the inscribed angle m∠SUT intercepts the diameter ST.

Then,

m∠SUT = 90°

In Δ SUT,

m∠S + m∠U + m∠T = 180°

Substitute.

m∠S + 90° + 43° = 180°

m∠S + 133° = 180°

Subtract 133° from each side.

m∠S = 47°

m∠UST = 47°

By Inscribed Angle Theorem,

m∠arc UT = 2 ⋅ m∠UST

Substitute.

(9x - 14)° = 2 ⋅ 47°

(9x - 14)° = 94°

9x - 14 = 94

Add 14 to each side.

9x = 108

Divide each side by 9

x = 12

Hence, we get as x = 12°

Step-by-step explanation:

Here...

2 × 2 × 2 × 3 × 3 × 5 = 360..

hence the LCM is 360...

[tex]..[/tex]

( There is also another method to solve this but I choose this one cause this one is easy to understand....)

The equivalent expression of the given expression (3x⁴ + 17x³ − x) and (− 2x⁴ − 5x) will be (x⁴ + 17x³ − 6x).

The equivalent is the functions that are in different forms but are equal to the same value.

The expression is given below.

(3x⁴ + 17x³ − x) + (− 2x⁴ − 5x)

Then the equivalent expression of the given expression will be

3x⁴ + 17x³ − x − 2x⁴ − 5x

x⁴ + 17x³ − 6x

The equivalent expression of the given expression (3x⁴ + 17x³ − x) and (− 2x⁴ − 5x) will be (x⁴ + 17x³ − 6x).

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Step-by-step explanation:

when given similar terms sometimes its easier to work the problem out before sinplifying

Answer:

15 2/3

Step-by-step explanation:

[tex]5\frac{2}{3} + 2 \frac{2}{3} = 8[/tex]

[tex]8 + 2 \frac{2}{3} + 5[/tex]

[tex]10 \frac{2}{3} + 5 = 15 \frac{2}{3} [/tex]

[tex]15 \frac{2}{3} [/tex]

Answer:

15 2/3

Step-by-step explanation:

Answer:

Rent

Step-by-step explanation:

When someone wants to buy something for a specific time without keeping it permanently, they rent it. Like a hotel, you rent a hotel for a certain number of nights, you do not stay there forever. When you buy something, you keep it forever, like buying a toy, it's your's and no one can rightfully take it from you. To lease something is to let someone rent the item you are leasing, so when they pay rent, you get paid.

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Answer:

[tex]4+x=22[/tex]

Step-by-step explanation:

Hope this helps

Answer:

(2,0)

Step-by-step explanation:

Answer:

[tex]\left( x-2\right)^{2} +\left( y-6\right)^{2} =12[/tex]

Step-by-step explanation:

Formula ………………………………………………………………………

The equation of a circle with center (a , b) and radius r is :

[tex]\left( x-a\right)^{2} +\left( y-b\right)^{2} =r^{2}[/tex]

===================

Now ,let’s apply what we have learnt:

The equation of the circle with center (a , b) = (2 , 6) and radius r = 2√3 is :

[tex]\left( x-2\right)^{2} +\left( y-6\right)^{2} =\left( 2\sqrt{3} \right)^{2}[/tex]

[tex]\Longleftrightarrow \left( x-2\right)^{2} +\left( y-6\right)^{2} =12[/tex]

[tex]\text{Note :} \left( 2\sqrt{3} \right)^{2} =2^{2}\times \sqrt{3}^{2} =4\times3=12[/tex]

Answer:

-5(y - 3)/-2

Step-by-step explanation:

y² - 9/-2y × -5y/y + 3

Multiply Rewrite

Simplify the expression

(y - 3)×(y + 3)/2 × 5/y + 3

Simplify the expression

y - 3/2 × 5

Calculate

5(y - 3)/2

HOPE THIS HELPS :)

Answer:

[tex]\huge\boxed{\dfrac{-5(y-3)}{-2}}[/tex]

Step-by-step explanation:

[tex]\dfrac{y^2-9}{-2y}\cdot\dfrac{-5y}{y+3}=\dfrac{y^2-3^2}{-2y}\cdot\dfrac{-5y}{y+3}[/tex]

use: a² - b² = (a - b)(a + b)

[tex]=\dfrac{(y-3)(y+3)}{-2y}\cdot\dfrac{-5y}{y+3}[/tex]

simplify fractions

(y + 3) and y

[tex]=\dfrac{y-3}{-2}\cdot\dfrac{-5}{1}=\dfrac{-5(y-3)}{-2\cdot1}=\dfrac{-5(y-3)}{-2}[/tex]

[tex]18*(7*(-3))=18*7+18*(-3)\\18*-21=126 - 54\\-378 \neq 72[/tex]

LHS [tex]\neq[/tex] RHS

Answer :

To verify an equation, we need to see if the LHS = RHS.

Equation [tex]\downarrow[/tex]

[tex]18\times(7\times(-3))=18\times7+18\times(-3)[/tex]

Let's solve the left hand side (LHS) first.

[tex]18\times(7\times(-3))\\= 18 \times (-21)\\=\underline{ -378}[/tex]

Now, let's solve the right hand side (RHS).

[tex]18\times7+18\times(-3)\\= 126 - 54\\=\underline {72}[/tex]

But,

[tex]\boxed{-378 \neq 72}[/tex]

We can see that the LHS doesn't match or isn't equal to the RHS.

Hence, we can say that LHS [tex]\neq[/tex] RHS & the  equation is NOT true.

[tex]\rule{150pt}{2pt}[/tex]

The cost in dollars of making x items is given by the function C(x) = 10x + 900. The fixed cost is 900 dollars. C(25 ) = $1150. The Range is 250.

The function is a type of relation, or rule, that maps one input to specific single output.

The cost in dollars of making x items is given by the function

C(x) = 10x + 900

a. The fixed cost is determined when zero items are produced. Find the fixed cost for this item.

The fixed cost

C(0) = 10(0) + 900

       = 0 + 900

       = $900

b. What is the cost of making 25 items?

C(25) = 10(25) + 900

       = 250 + 900

       = $1150

Therefore, C(25 ) = $1150

c. Suppose the maximum cost allowed is $1900. What are the domain and range of the cost function, C(x)?

The domain is the set of values for which the given function is defined.

Range = Maximum value of the data set - Minimum value of the dataset

Range = C(25 ) - C(0)

           = 1150 - 900

           = 250

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Answer:

448 cm³

Step-by-step explanation:

Finding volume :

Answer: 448 cm³

Step-by-step explanation:

    Volume of a triangle prism can be found with;

V = [tex]\frac{1}{2}[/tex] * W * L * H

V = [tex]\frac{1}{2}[/tex] * W * L * H

V = [tex]\frac{1}{2}[/tex] * 8 cm * 14 cm * 8 cm

V = [tex]\frac{1}{2}[/tex] * 8 cm * 14 cm * 8 cm

V = 448 cm³

     The triangle prism has an area of 448 cm³