Find the missing side. Round your answer to the nearest tenth.

Answer:

-2.2y - 1.8

Step-by-step explanation:

We are to simplify the expression:

1.2y + 4.5 - 3.4y - 6.3

Collect like terms:

1.2y - 3.4y + 4.5 - 6.3

Simplify:

-2.2y - 1.8

That is the answer.

Answer:

2x⁴+x³-x²+54x+56

Step-by-step explanation:

Given the expression length of dylan room =  (x² – 2x + 8) and width = (2x² + 5x – 7), assuming the shap of the room is rectangular in nature, the formula for calculating area of a triangle is given as;

Area of rectangle = Length *Width

Area of the rectangle =  (x² – 2x + 8)(2x² + 5x – 7)

Area of the rectangle  = x²(2x² + 5x – 7) - 2x (2x² + 5x – 7) + 8(2x² + 5x – 7)

= (2x⁴+5x³-7x²)-(4x³+10x²-14x)+(16x²+40x-56)

expanding the bracket

= 2x⁴+5x³-7x²-4x³-10x²+14x+16x²+40x-56

Collecting the like terms;

= 2x⁴+5x³-4x³-7x²-10x²+16x²+40x+14x+56

= 2x⁴+x³-x²+54x+56

Hence, the expression that represents the area (lw) of Dylan's room is 2x⁴+x³-x²+54x+56

Answer:

2x^4+ x^3 - x^2 + 54x - 56 expression represents the area of Dylan’s room

Step-by-step explanation:

C on edge :)

Answer:

6

Step-by-step explanation:

6 appears the most

Answer:

6

Step-by-step explanation:

Put the data in order from smallest to largest

5,6,13,2,6,11,6,5,3,14

2,3,5,5,6,6,6,11,13,14

The mode is the number that appears most often

6 appears most often so it is the mode

Answer:

[tex] C = 28.9 [/tex]

Step-by-step explanation:

Given the right angled triangle, ∆BCD, you are required to find the measure of angle C.

Apply the trigonometric ratio formula to find m < C.

Adjacent side = 7

Hypotenuse = 8

Trigonometric ratio formula to apply would be:

[tex] cos(C) = \frac{7}{8} [/tex]

[tex] cos(C) = 0.875 [/tex]

[tex] C = cos^{-1}(0.875) [/tex]

[tex] C = 28.9 [/tex]

(To nearest tenth)

Answer:

Becky's mistake was that she said [tex]\frac{4}{5} - \frac{5}{4} = 0[/tex], while it's actually equal to [tex]-\frac{9}{4}[/tex].

Step-by-step explanation:

[tex]\quad\begin{aligned} &\dfrac{4}{5} +7 -\dfrac{5}{4}\\\\ \\ =&\dfrac{4}{5} -\dfrac{5}{4}+7&\green{\text{Step } 1} \\\\ \\ \\ =&0+7&\blue{\text{Step } 2}\\\\ \\ \\ =&7&\purple{\text{Step } 3} \\\\ \\ \\ \end{aligned}[/tex]

Step 1 looks fine as she just rearranged the equation, keeping the negatives and positives right.

Step 2 is where she said that  [tex]\frac{4}{5} - \frac{5}{4} = 0[/tex]. This would only be true if we were multiplying one of the numbers by 0. So Step 2 was wrong.

Step 3 is right, as 0+7 = 7.

Hope this helped!

Answer:

step 2 is wrong

Step-by-step explanation:

Step-by-step explanation:

The figure above is a cube since all it's sides are equal

Volume of a cube = l³

where l is the length of one side

From the question

l = 3yd

So the volume of the cube is

Volume = 3³

Volume = 3yd³

Surface area of a cube = l²

Surface area = 3²

= 9yd²

Hope this helps you

Answer: t= v-u/a

Step-by-step explanation: V=u-at

V-u=at

Subtract u from both sides

V-u=at

Divide both sides by a

v-u/a=at/a

v-u/a=t

Alan can conclude that the medicine given out to the treatment group does indeed work and reduces the amount of coughing and the control group with no treatment never got any better so the medicine is far better than no treatment at all.

Answer:

16 and 65536

Step-by-step explanation:

4^2 =16 and 4^8 =65536

Answer:

4^10

Step-by-step explanation:

4^2 x 4^8

When we multiply exponents with the same base, we can add the exponents

4^(2+ 8)

4^10

Answer:

x² = 10

x = ±√10 (Take the square root of both sides)

Answer:

Axis of Symmetry: x = 3

Vertex: (3, 5)

Step-by-step explanation:

Use a graphing calc.

Answer:

3

Step-by-step explanation:

Step-by-step explanation:

Y varies directly as cube root of x is written as

y = k³√x

where k is the constant of proportionality

when y = 3

x = 27

We have

[tex]3 = k \sqrt[3]{27} [/tex]

But ³√27 = 3

That's

3 = 3k

Divide both sides by 3

k = 1

The value of the relationship is

When x = 8

We have

Hope this helps you

Answer:

2/36 or 1/18

Step-by-step explanation:

There are 36 possible outcomes (6x6).

Only 2 possibilities equal 11.  (5+6 and 6+5).

So the probability is 2/36, or 1/18.

Answer:

A = 12

B = 14

Step-by-step explanation:

You essentially have to count the number of squares that are filled in.

Shape A has 12 units filled in.

Shape B has 14 units filled in.

Answer:

28.

Step-by-step explanation:

9x^2 + 2 = 10x

9x^2 - 10x + 2 = 0

The discriminant is b^2 - 4ac.

In this case, a = 9, b = -10, and c = 2.

(-10)^2 - 4 * 9 * 2

= 100 - 36 * 2

= 100 - 72

= 28.

Since the discriminant is positive, there are two real solutions to the function.

Hope this helps!

Answer:

B.

Step-by-step explanation:

To get the inverse of the function defined by the table given, all you need to do is to interchange the coordinate pairs.

That is, the coordinates pair on a table that defines a function is usually given as (x, y). The inverse of the function would be (y, x).

The following are the coordinate pairs given and the inverse of the function represented:

(x, y) => inverse = (y, x)

(7, 21) => inverse = (21, 7)

(10, 30) => inverse = (30, 10)

(13, 39) => inverse = (39, 13)

(16, 48) => inverse = (48, 16)

The table that represents the inverse of the function given in the question is option B

Answer: A. y-In x-3

explanation:

Answer:

45

Step-by-step explanation:

There are 3 cones and 15 flavors

Multiply the number of cones by the number of flavors

3*15

45

There are 45 possible combinations

Answer:

X=36.4 or 36.37306696.... and Y=42

Step-by-step explanation:

So you have a 30-60-90 triangle!

Do Not Worry this is a hard subject to understand, but I will try to do my best with helping you. Right now you need to find x and y. All you have is 21.  Under your 60 angle, which is pointing downward, is the 21. And 21 is initially in the spot of x or 1. so 21 is the x(But not the x on the side of 90). I am sorry if this is a bit confusing.

You are then going to take your side which is x, the side that is directly in the path of 90, and it is going to be 21[tex]\sqrt{3[/tex]. Then on the side of your y, which is in the path of your 60, it will be 2 times your x.

The general layout of this is:

x is underneath the side of 90 degrees.

then on the side where 60 degrees and 30 degrees is, is going to be x[tex]\sqrt{3[/tex].

Then the last side, where 30 degrees and 90 degrees lay, will be 2(x).

So all you have to do is plug everything in.

x=36.4 in decimal

y=42(because all you had to do was plug 21 where the x is, because that is where x is in the general layout.)

The value of x = 42 units

The value of y = 21√3 units

The study of the correlation between a right-angled triangle's sides and angles is the focus of one of the most significant branches of mathematics in history: trigonometry. Hipparchus, a Greek mathematician, introduced this idea.

As per the given diagram:

The triangle is a right angle triangle.

Using trigonometric ratios to find x and y:

tan30° = (P/B)

tan30° = (21/y)

(1/√3) = (21/y)

y = 21√3 units

sin30° = (P/H)

(1/2) = (21/x)

x = 2 × 21

x = 42 units

The value of x and y is 42 units and 21√3 units, respectively.

To learn more on Trigonometry, click:

brainly.com/question/17199821

#SPJ7

Answer:

1

Step-by-step explanation:

concepts used is law of indices

where

(a^b)^c = a^bc

a^m/a^n = a^(m-n)

a^m *a^n = a^(m+n)

a^0 = 1

_______________________________________

50000)^2 = (5*10^4)^2 = 25*10^8

(0.00002)^3 = (2*10^-5)^3 = 8*10^-15

(0.0000001) = 10^-7

now

(50000)^2×(0.00002)^3\(200)×(0.0000001) =  25*10^8 * 8*10^-15/200*10^-7

  = 200*10^8-15-(-7)/200 = 10^-7 +7 = 10^0 = 1

Thus,1 is the answer

Answer:

36 people joined the radio control club.

Step-by-step explanation:

15-3= 12

12*3=36

Answer:

b = [tex]\sqrt[3]{\frac{2d-c}{5} }[/tex]

Step-by-step explanation:

Given

2d = 5b³ + c ( subtract c from both sides )

2d - c = 5b³ ( divide both sides by 5 )

[tex]\frac{2d-c}{5}[/tex] = b³ ( take the cube root of both sides )

[tex]\sqrt[3]{\frac{2d-c}{5} }[/tex] = b

Answer:

Additive inverse = -3/2

Multiplicative inverse = 2/3

Step-by-step explanation:

To find Additive inverse, just change the sign.

Additive inverse of 3/2 = -3/2

If we add  a number and its additive inverse, we will obtain 0.

Multiplicative inverse of number a is 1/a and multiplicative inverse of a fraction  a/b is b/a.

When we multiply a number & its inverse, we will get 1

Multiplicative inverse of 3/2 = 2/3

Answer:

x = pi/8   + pi/2  *n                    x = 3pi/8   +   pi /2 *n

Step-by-step explanation:

cos ^2 ( 2x) - sin ^2 (2x) = 0

Substitute u = 2x

cos ^2 ( u) - sin ^2 (u) = 0

We know cos ^2(x)-sin ^2(x)=cos (2x)

cos ( 2u) =0

Replacing u with 2x

cos  (2 *2x) =0

cos (4x) =0

cos u =0 when u = pi/2 + 2 pi n and 3pi/2 + 2 pi n  where n is an integer

4x = pi/2+2 pi n                    4x = 3pi/2+2pi n

x = pi/8   + pi/2  *n                    x = 3pi/8   +   pi /2 *n

convert 5.6 cm = 56 mm squared

Answer: 560 mm²

Step-by-step explanation:

Note that 1 cm = 10  mm

Given: 5.6 cm²

          = 5.6 cm· cm

           [tex]=5.6\ cm \cdot cm\times \dfrac{10\ mm}{1\ cm}\times \dfrac{10\ mm}{1\ cm}\quad[/tex]

           [tex]=560\ mm\cdot mm\\[/tex]

           [tex]=\large\boxed{560\ mm^2}[/tex]

Answer:

f(x) = 2(x –3)²

Step-by-step explanation:

f(x) = 2x² – 12x + 18

The vertex form of the above expression can be obtained as follow:

f(x) = 2x² – 12x + 18

Factorise

f(x) = 2(x² – 6x + 9)

Next, we shall simplify x² – 6x + 9 by factorisation method.

This is illustrated below:

x² – 6x + 9

Multiply the first term i.e x² and last term i.e 9 together. The result is 9x².

Next, find two factors of 9x² such that their sum will result to the 2nd term i.e –6x in the expression above.

The factors are –3x and –3x

Next, replace –6x with –3x and –3x in the equation above as shown below:

x² – 6x + 9

x² – 3x –3x + 9

Factorise

x(x – 3) –3(x –3)

(x –3)(x –3)

(x –3)²

f(x) = 2x² – 12x + 18

f(x) = 2(x² – 6x + 9)

f(x) = 2(x –3)²

Therefore, the vertex form of the function f(x) = 2x² – 12x + 18 is

f(x) = 2(x –3)²

Answer:

A

Step-by-step explanation:

Answer is a because the common difference is -9

Answer:

the data represent a linear function because there is a common difference of -9

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]10.5 \:trees = 5 \:cabins\\x \: trees\:\:\:\:\:\:=7\:cabins\\\\5x = 73.5\\\frac{5x}{5} = \frac{73.5}{5}\\ x = 14.7 \: trees[/tex]

Answer:

B.

Step-by-step explanation:

First, it must be in descending order (i.e. largest to smallest). Thus, we can eliminate C and D since they go from smallest to largest.

Next, we need to find the degree of A and B. The degree of a polynomial is simply the highest exponent value of all the variables in a single term. If this is confusing, let's use A as an example.

In A, we have four terms: x^3y^3, xy^2, 5xy, and -4. This is a sixth degree polynomial. This is because for the first and largest term, x^3 and y^3, the total value of their exponents is 6. Because of this, A is not our answer.

For B, the biggest term is xy^2, and the degree is 1+2=3. Therefore, our answer is B since it is a third degree polynomial and it's in descending order.

Note that C is also a third-degree polynomial, but it's not written in descending order.

Answer:

3^6-4x=3^3x-3

Step-by-step explanation:

9^3-2x = 27^x-1  ( 9 is 3² and 27 is 3³)

(3²)^3-2x= (3³)^x-1    in case of exponential between brackets , multiply the exponents.

3^6-4x=3^3x-3

Answer:

x = 9/7

Step-by-step explanation:

9^3-2x = 27^x-1

(3^2)^3-2x = (3^3)^x-1

3^2(3-2x) = 3^3(x-1)

2(3-2x) = 3(x-1)

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

-4x + 6 = 3x - 3

-4x = 3x - 9

-7x = -9

x = -9/-7

x = 9/7