What single decimal multiplier would you use to increase by 8% followed by a 9% increase?

Hello!

|m² - 7| + n² =

= |-2² - 7| + 5² =

= |-4 - 7| + 5² =

= |-11| + 5² =

= 11 + 5² =

= 11 + 25 =

= 36

Good luck! :)

Answer:

28

Step-by-step explanation:

Given:

The minimum and maximum distance that the dog may be from the house can be found by using the equation:

[tex]|x-500|=8[/tex]

To find:

The minimum and maximum distance that the dog may be from the house.

Solution:

We have,

[tex]|x-500|=8[/tex]

It can be written as:

[tex]x-500=\pm 8[/tex]

Adding 500 on both sides, we get

[tex]x=500\pm 8[/tex]

Now,

[tex]x=500+8[/tex] and [tex]x=500-8[/tex]

[tex]x=508[/tex] and [tex]x=492[/tex]

The minimum distance is 492 meters and the maximum distance is 508 meters.

Therefore, the correct option is C.

Answer:

[tex](2 {a}^{2} + 1)(1 {a}^{2} + 9)[/tex]

Step-by-step explanation:

[tex]2 {a}^{4} + 19 {a}^{2} + 9 \\ 2 {a}^{4} + {a}^{2} + 18{a}^{2} + 9 \\ {a}^{2} (2 {a}^{2} + 1) + 9(2 {a}^{2} + 1) \\ (2 {a}^{2} + 1)( {a}^{2} + 9) \\ [/tex]

Answer:

Daylily: $9

Geranium: $2

Step-by-step explanation:

1 daylily costs x.

1 geranium costs y.

11x + 4y = 107

4x + 12y = 60

Multiply the first equation by 3 and subtract the second equation from it.

29x = 261

x = 9

4x + 12y = 60

4(9) + 12y = 60

12y = 24

y = 2

Answer:

Daylily: $9

Geranium: $2

Answer:

1) Set up a system of equations. Assign each plant a variable. I used X for Daylillies and Y for Geraniums. In this case:

11x + 4y = 107

4x + 12y = 60

2) Get one variable by itsef. You can choose to either get the X or the Y by itself. For the sake of ease, I'll go with achieving X.

3) Using the equation 4x + 12y = 60, isolate the 4x.

4x = -12y + 60

4) Divide both sides by 4.

x = -3y + 15

5) X is isolated. Now plug in that isolated X into another remaining equation in order to isolate Y. Don't forget to combine like terms.

11(-3y + 15) + 4y = 107

-33y + 165 + 4y = 107

-29y + 165 = 107

-29y = -58

y = 2

6) You have your Y, which means that each Geranium costs $2 each. Now, you need to find X. Plug in Y into any of the first two equations that we started with.

4x + 12(2) = 60

4x + 24 = 60

4x = 36

x = 9

7) You now have both X and Y. Daylillies cost $9 each, and Geraniums cost $2 each.

8) You can double-check your answers by plugging in your final X and Y values into any of the first equations you wrote. If it comes out equal, it works.

Answer:

I think album is another name of CD.

When both sides of the equation are simplified, the coefficients are the same.

Step-by-step explanation:

An equation has infinite solutions when both sides of the equation are simplified, the coefficients are the same

Answer:

The answer is A.

Answer:

5 in

Step-by-step explanation:

by doing a proportion of 2/4 for the known sides, you can find that the smaller triangle has sides that are half of the larger one. so 10/2 equals 5

Answer: X = 5

Step-by-step explanation:

4 divided by 2 = 2

So 10 divided by 2 = 5

Answer:

Step-by-step explanation:

Givens

Let the number in the Spanish Class = x

Then the number in the Geometry Class = (4/5) x

Equation

x + (4/5)x < 54

Solution

x + (4/5)x < 54

4/5 = 0.8

x + 0.8x < 54

1.8x < 54                    Divide both sides by 1.8

1.8x / 1.8 < 54/1.8

x < 30

The sign used in the equation is less than, not less than or equal to.

The number of students taking Spanish cannot equal 30. There must be 29 in the Spanish Class.

B

the number doubles by itself

Note: There must be -4 instead of 4 otherwise all options are incorrect.

Given:

A polynomial function has a leading coefficient of 3 and roots -4, 1, and 2, all with multiplicity 1.

To find:

The polynomial function.

Solution:

The general polynomial function is defined as:

[tex]P(x)=a(x-c_1)^{m_1}(x-c_2)^{m_2}...(x-c_n)^{m_n}[/tex]

Where, a is the leading coefficient, [tex]c_1,c_2,...,c_n[/tex] are the zeros  with multiplicity [tex]m_1,m_2,...,m_n[/tex] respectively.

It is given that a polynomial function has a leading coefficient of 3 and roots 4, 1, and 2, all with multiplicity 1. So, the polynomial function is defined as:

[tex]P(x)=3(x-(-4))^1(x-1)^1(x-2)^1[/tex]

[tex]P(x)=3(x+4)(x-1)(x-2)[/tex]

Therefore, the correct option is A.

Answer:

The slope of the perpendicular line is 2/5.

Step-by-step explanation:

We want to find the slope of the line that is perpendicular to the line that passes through the points (-1, 6) and (3, -4).

Recall that the slopes of perpendicular lines are negative reciprocals of each other.

Find the slope of the original line:

[tex]\displaystyle m=\frac{\Delta y}{\Delta x}=\frac{(-4)-(6)}{(3)-(-1)}=\frac{-10}{4}=-\frac{5}{2}[/tex]

The slope of the perpendicular line will be its negative reciprocal.

Thus, the slope of the perpendicular line is 2/5.

The slope of the line perpendicular to the line through the points (-1,6) and (3,-4) is -5/2.

We have to find the slope of the line perpendicular to the line through the points (-1,6) and (3,-4).

using the formula;-

m = (y²-y¹) / (x²-x¹)

Where,

plug the value and simplify.

m = ( (-4 ) - 6)/(3 - (- 1)

m = - 10 / 4

m = - 5/2

Hence, The slope of the line perpendicular to the line through the points (-1,6) and (3,-4) is -5/2.

Answer:

slope = [tex]\frac{6}{7}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (8, 8)

m = [tex]\frac{8-2}{8-1}[/tex] = [tex]\frac{6}{7}[/tex]

Answer:

26.31

Step-by-step explanation:

Use distance formula

d = [tex]\sqrt{(x_{2}-x_{1)^{2} + (y_{2}-y_ ^{1)^2} } }[/tex]

substitute in points and solve

d =  [tex]\sqrt{(7-3)^2 + (23-(-3))^{2} }[/tex]

d = [tex]\sqrt{4^{2}+26^{2} }[/tex]

d = [tex]\sqrt{16 + 676}[/tex]

d = [tex]\sqrt{692}[/tex]

d = 26.30589288

d = 26.31 rounded

Answer:

[tex]Sets = 27[/tex]

Step-by-step explanation:

Given

[tex]Coin = 1[/tex]

[tex]Toss = 5[/tex]

Required

Number of outcomes with at most 3 heads

First, we list out the sample space of a toss of coin 5 times

[tex](HHHHH)[/tex], [tex](HHHHT)[/tex], [tex](HHHTT)[/tex], [tex](HHTTT)[/tex], [tex](HTTTT)[/tex], [tex](TTTTT)[/tex], [tex](TTTTH)[/tex], [tex](TTTHH)[/tex], [tex](TTHHH)[/tex], [tex](THHHH)[/tex], [tex](HTHTH)[/tex], [tex](THTHT)[/tex], [tex](HHTHH)[/tex], [tex](TTHTT)[/tex], [tex](HTTHT)[/tex], [tex](THHTH)[/tex], [tex](THHHT)[/tex], [tex](HTTTH)[/tex], [tex](THHTT)[/tex], [tex](HTTHH)[/tex], [tex](HHTTH)[/tex], [tex](TTHHT)[/tex], [tex](TTHTH)[/tex], [tex](HHTHT)[/tex], [tex](HTHTT)[/tex], [tex](THTHH)[/tex], [tex](THTTH)[/tex], [tex](HTHHT)[/tex], [tex](HTHTT)[/tex], [tex](THTHH)[/tex], [tex](HHHTH)[/tex], [tex](TTTHT)[/tex]

Next, we list out all outcomes with at most 3 heads

, , [tex](HHHTT)[/tex], [tex](HHTTT)[/tex], [tex](HTTTT)[/tex], [tex](TTTTT)[/tex], [tex](TTTTH)[/tex], [tex](TTTHH)[/tex], [tex](TTHHH)[/tex], , [tex](HTHTH)[/tex], [tex](THTHT)[/tex], , [tex](TTHTT)[/tex], [tex](HTTHT)[/tex], [tex](THHTH)[/tex], [tex](THHHT)[/tex], [tex](HTTTH)[/tex], [tex](THHTT)[/tex], [tex](HTTHH)[/tex], [tex](HHTTH)[/tex], [tex](TTHHT)[/tex], [tex](TTHTH)[/tex], [tex](HHTHT)[/tex], [tex](HTHTT)[/tex], [tex](THTHH)[/tex], [tex](THTTH)[/tex], [tex](HTHHT)[/tex], [tex](HTHTT)[/tex], [tex](THTHH)[/tex], [tex](TTTHT)[/tex]

So, the number of set is:

[tex]Sets = 27[/tex]

Answer:

6 trials

Step-by-step explanation:

The number of rats that run the maze incorrectly after t trials ;

N(t) = 100e^-0.14t

Initial number of rats = 100

45% of rats to run the maze incorrectly ; 45% * 100 = 45 rats

N(t) = 45

N(t) = 100e^-0.14t

45 = 100e^-0.14t

45/100 = e^-0.14t

0.45 = e^-0.14t

Take the In of both sides :

In(0.45) = In(e^-0.14t)

- 0.798507 = - 0.14t

Divide both sides by -0.14

- 0.798507 / - 0.14 = - 0.14t / - 0.14

5.7036 = t

To the nearest whole number :

Number of trials, t = 6 trials

1.f(0) = 6

2.f(4)=5

3.f(-3)=-5

4. V(r) represent volume of basketball when radius is r

5.f(9) =5

Answer:

Step-by-step explanation:

1.

[In the attachment]

2.

again taking 4 as x and 5 as y.

since,

y = f(x)

5 = f(4)

that is option 3.

3.

x = -3

y = -5

y = f(x) = -5

f(-3) = -5

1st option

4.

V(r) = 4/3 pi r³

here the ou.tput is V(r) when the input is r.

and since V(r) denotes volume of air inside the basketball

V(r) is the volume of basketball when the radius is r.

that is option 2.

5.

given that:-

x = 9, f(x) = 5

•°• f(9) = 5

that is the 1st option

Answer:

x = π/4 and 5π/4

Step-by-step explanation:

Given the expression;

2cos²x - 1 = 0

2cos²x = 0+1

2cos²x = 1

cos²x = 1/2

cos x = ±√1/2

cos x = ±0.7071

x = arccos(±0.7071)

x = ±45 degrees

Convert to radians

Sence 180° = π rad

45°  = x

x = 45π/180

x = π/4

If x = -45°

Since cos is negative in the 3rd quadrant

x = 180 + 45

x = 225°

x = 225π/180

x = 45π/36

x = 5π/4

Answer:

6 duh!

you can do this by yourself lol

Hello!

(1/3)^2x = (1/3)^x+14 <=>

<=> 2x = x + 14 <=>

<=> 2x - x = 14 <=>

<=> x = 14

Good luck! :)

Answer:

1500

Step-by-step explanation:

The area of the regtangular floor is 360m². The floor is going to be retired with tiles having area of 240cm² . We need to find the number of times . Therefore ,

[tex]\implies 360m^2 = 360 \times 10^4 \ cm^2 [/tex]

And , the number of tiles required will be ,

[tex]\implies n =\dfrac{Area \ of \ floor}{Area \ of \ a \ tile }\\\\\implies n =\dfrac{ 360 \times 10^4 \ cm^2}{240 cm^2} \\\\\implies \underline{\underline{ n = 1,500 }}[/tex]

Hence the required answer is 1500 .

Answer:

Rupees 39,000 are

378.63 Pound sterling

Answer:

The three Rational between 3 and 4

A rational number between 3 and 4 is 1/2 (3 + 4) = 7/2. Hence, 13/4, 7/2 and 15/4 are the three rational numbers lying between 3 and 4.

Step-by-step explanation:

Answer:

45 x 56=

2520 and

5 x 7=35*8=280*9=2520

2520=2520

Hope This Helps!!!

Answer:

The answer is 32.

Step-by-step explanation:

Just multiply the height by the base length. 4*8=32

Answer:

The number of correct answers is 28

Step-by-step explanation:

The value of a correct answer = +3

The value of a wrong answer = -1

The number of questions Ramesh answered = All the questions

The number of mistakes in the question = 5,

Let x represent the number of correct answers therefore, we get;

+3 × x + (-1) × 5 = 79

∴ x = (79 - (-1) × 5)/+3 =  28

The number of correct answers, x = 28

Answer:

(x+5) (x^2+5)

Step-by-step explanation:

x^3+5x^2+3x+15

Using factoring by grouping

x^3+5x^2     +3x+15

x^2(x+5)   + 3(x+5)

Factor out (x+5)

(x+5) (x^2+5)

Answer:

( x + 5 ) (x² + 3)

Step-by-step explanation:

x³ + 5x² + 3x + 15

factor out x²

x² ( x + 5 ) + 3x + 15

factor out 3

x² ( x + 5 ) + 3 ( x + 5 )

factor out x + 5 from the expression

( x + 5 ) (x² + 3)

Answer:

p = 0

Step-by-step explanation:

1 - 4p - 2p = 1 - 5p

-6p + 1 = -5p + 1

-p + 1 = 1

-p = 0

p = 0