if t varies inversely with a and t is 2 when a is 36 what is t when s is 3

Answer:

Olga's mistake was in Step 3 because she divided the entire equation by 3 instead of dividing it by 1/3.

Answer:

step 3

Step-by-step explanation: it was wrong

Answer:

35 in²

Step-by-step explanation:

Total area = Area of rectangle + Area of parallelogram

Area of rectangle= base*height

Area of parallelogram = base*height

Total area:

Answer:

B. 35 in²

Step-by-step explanation:

Formula: A = b x h

Solution:

A = (5 in.)(3 in.) + (5 in.)(4 in.)

A = 15 in. + (5 in.)(4 in.)

A = 15 in. + 20 in.

A =  35 in.²

Answer:

17.) A = 17.5 cm squared

18.) A = 36

Step-by-step explanation:

17.) 7 x 5 x 1/2

7 x 5 = 35

35 x 1/2 = 17.5

18.) 8 x 9 x 1/2

8 x 9 = 72

72 x 1/2 = 36

I hope this helped. I am sorry if you get this wrong.

Answer:

Step-by-step explanation:

17 : i 12x^2(4x−3) ,

ii : 5x(x−3y) ,

iii: 5xy^2z(3x^2−5z^2)

18) since the two polynomial are equal then :

2x^3+ax^2+3x-5 = x^3+x^2-2x+a  same remainder x-2 then x=2

2(2)^3+a(2)^2+3(2)-5=(2)^3+(2)^2-2(2)+a     solve for a

-3a=9

a=-3

18 ) x^3+y^3 -125+15xy

       x^3+y^3-(5)^3-3(x)(y)(-5)   then factorize x^3+y^3

       (x+y)(x^2-xy+y^2)- (5)(5)^2-3(x)(y)(-5)   common factor x+y-5

        (x+y-5)(x^2-xy+y^2-5^2-3xy         given x+y=5

          5-5( x^2-xy+y^2-25-3xy) = 0

the value of the expression equal to zero

Answer:

Option (4). 1

Step-by-step explanation:

Given expression is [tex]\frac{(216)^{n-2}}{(\frac{1}{36})^{3n}}[/tex]= 216

[tex]\frac{[(6)^3]^{n-2}}{[(\frac{1}{6})^2]^{3n}}[/tex] = 216

[tex]\frac{(6)^{3(n-2)}}{(\frac{1}{6})^{2\times 3n}}[/tex] = 216

[tex]\frac{(6)^{3(n-2)}}{(6)^{-6n}}[/tex] = 216

[tex]\frac{(6)^{3n-6}}{(6)^{-6n}}[/tex] = 216

[tex](6)^{3n-6}\times (6)^{6n}[/tex] = 216

[tex](6)^{3n-6+6n}[/tex] = [tex](6)^3[/tex]

[tex](6)^{9n-6}=(6)^3[/tex]

9n - 6 = 3

9n = 3 + 6

9n = 9

n = 1

Option (4) will be the answer.

Answer:

k = 13The smallest zero or root is x = -10

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

note: you can write "x^2" to mean "x squared"

f(x) = x^2+3x-10

f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5

f(x+5) = (x^2+10x+25)+3(x+5)-10

f(x+5) = x^2+10x+25+3x+15-10

f(x+5) = x^2+13x+30

Compare this with x^2+kx+30 and we see that k = 13

x^2+13x+30 = 0

(x+10)(x+3) = 0

x+10 = 0 or x+3 = 0

x = -10 or x = -3

The smallest zero is x = -10 as its the left-most value on a number line.

Step-by-step explanation: Hope this helps kind of.

Answer:

x= 50°

Hope it helps!

Step-by-step explanation:

The sum of the exterior angles of a polygon is always 360°

So, x+40+x+20+2x+2x = 360

6x + 60= 360

6x = 360-60 = 300

6x= 300

x= 300/6

= 50

Answer:

Step-by-step explanation:

9)

10110 in base 2

base 5= 10110*5/2=50550/2=25275

base 10=10110*5=50550

10)

110001 in base 2

base 5= 110001*5/2=550005/2=275002.5

base 10=110001*5=550005

11)

14 in base 5

base 2=14*2/5=28/5=56/10=5.6

base 10=14*2=28

12)

40 in base 5

base 2=40*2/5=80/5=160/10=16

base 10=40*2=80

13)

124 in base 5

base 2=124*2/5=248/5=49.6

base 10=124*2=248

14)

200 in base 5

base 2=200*2/5=400/5=80

base 10=200*2=400

15)

21 in base 5

base 2= 21*2/5=42/5=84/10=8.4

base 10=21*2=42

Answer:

Part A : y²(x + 2)(x + 4)

Part B: (x + 4) (x + 4)

Part C: (x + 4) (x - 4)

Step-by-step explanation:

Part A: Factor x²y²+ 6xy²+ 8y²

x²y²+ 6xy²+ 8y²

y² is very common across the quadratic equation , hence

= y² (x² + 6x + 8)

= (y²) (x² + 6x + 8)

= (y²) (x² + 2x +4x + 8)

= (y²) (x² + 2x)+(4x + 8)

= (y²) (x(x + 2)+ 4(x + 2))

= y²(x+2)(x+4)

Part B: Factor x² + 8x + 16

x² + 8x + 16

= x² + 4x + 4x + 16

= (x² + 4x) + (4x + 16)

= x( x + 4) + 4(x + 4)

= (x + 4) (x + 4)

Part C: Factor x² − 16

= x² − 16

= x² + 0x − 16

= x² + 4x - 4x - 16

= (x² + 4x) - (4x - 16)

= x (x + 4) - 4(x + 4)

= (x + 4) (x - 4)

Answer:

[tex]y=4x^2+12x+9[/tex]

Step-by-step explanation:

Perform the square of the binomial, combine like terms, and then write the remaining expression in decreasing order of powers of x:

[tex]y=(2x+3)^2\\y=(2x+3)\,(2x+3)\\y=4x^2+6x+6x+9\\y=4x^2+12x+9[/tex]

$0.50 × c

because she gets $0.50 dollars for each cup

Answer:

$0.50 x c

Step-by-step explanation:

I hope this helps

Answer:

D: 64 x^27 y^125

Step-by-step explanation:

You can use either a calc or your knowledge of cube roots. I will be using knowledge.

You can automatically rule out a and b as if you take the cube root of 12, no whole number comes out. You are left with c and d. Option D is correct because the cube root of 64 is a whole number (4), the cube root of 27 is a whole number (3), and the cube root of 125 is also a whole number(5).

Answer:

[tex]S.D = 15.98[/tex]

Step-by-step explanation:

Given: 76,45,64,80,92

Required: Determine the standard deviation

We start by calculating the mean

[tex]Mean = \frac {\sum x}{n}[/tex]

Where x-> 76,45,64,80,92 and n = 5

[tex]Mean = \frac {76+45+64+80+92}{5}[/tex]

[tex]Mean = \frac{357}{5}[/tex]

[tex]Mean = 71.4[/tex]

Subtract Mean (71.4) from each of the given data

[tex]76 - 71.4 = 4.6\\45 - 71.4 = -26.5\\64 - 71.4 = -7.4\\80 - 71.4 = 8.6\\92 - 71.4 = 20.6[/tex]

Determine the absolute value of the above result

[tex]|4.6| = 4.6\\|-26.5| = 26.5\\|-7.4| = 7.4\\|8.6| = 8.6\\|20.6| = 20.6[/tex]

Square Individual Result

[tex]4.6^2 = 21.16 \\26.5^2 = 702.25\\7.4^2 = 54.76\\8.6^2 = 73.96\\20.6^2 = 424.36[/tex]

Calculate the mean of the above result to give the variance

[tex]Mean = \frac {\sum x}{n}[/tex]

[tex]Mean = \frac{21.16 + 702.25 + 54.76 + 73.96 + 424.36}{5}\\Mean = \frac{1276.49}{5}\\Mean = 255.298[/tex]

Hence, Variance = 255.298

Standard Deviation is calculated by [tex]\sqrt{Var}[/tex]

[tex]SD = \sqrt{255.298}[/tex]

[tex]S.D = 15.9780474402[/tex]

[tex]S.D = 15.98 (Approximated)[/tex]

Answer:

X=5

Step-by-step explanation:

4x²=100

x2=100÷4

x²=25

√x²=√25

x=5

Answer:

Step-by-step explanation:

First, you need to simplify step-by-step:

6x−24x+13

=6x+−24x+13

Now, you combine like terms:

=6x+−24x+13

=(6x+−24x)+(13)

=−18x+13

That's how you get your answer:

=−18x+13

Answer:

Around 16.73 feet

Step-by-step explanation:

The sine of an angle is the length of the opposite side divided by the length of the hypotenuse. Therefore:

[tex]\sin 42 = \dfrac{x}{25} \\\\x=25\cdot \sin 42\approx 16.73[/tex]

Hope this helps!

Answer:

The abswer woudl be 6.4

Step-by-step explanation:

you would divide 4.9 by 2.6 and get 1.884615 and then multiply that by 3.4 to get 6.4

Step-by-step explanation: Our first task in this problem is to setup variables representing length and width and we do that by using the second sentence.

The length is twice the width

So if we call our width x, that means that our length is 2 times x or 2x

Width of the rectangle ⇒ x

Length of the rectangle ⇒ 2x

Before moving on, go ahead and draw a picture of your

rectangle so that you can visualize what's going on.

I have done this for you below.

We label our widths x and our lengths 2x.

Now we can use the first sentence to setup our equation.

The perimeter of a rectangle is the distance

around the outside of the figure.

So if our perimeter is 60, that means that x + x + 2x + 2x = 60.

Simplifying by combining like terms, we get 6x = 60.

Now dividing both sides by 6, we find that x = 10.

Since x represents width, our width is 10.

Our length therefore with be 2(10) or 20.

So our width is 10 and our length is 20.

Answer:

Number of child tickets = 9

Number of adult tickets = 36

Number of senior tickets = 27

Step-by-step explanation:

Given:

The ratio of adult tickets to child tickets = 4:1

Ratio of adult  tickets to senior tickets = 4:3

Number of total tickets = 72

Find:

The number of each ticket.

Computation:

Ratio between Adult to senior to child = 4:3:1

So,

Number of child tickets = [1 / (4+3+1)]Total tickets

Number of child tickets = [1 / (8)]72

Number of child tickets = 9

Number of adult tickets = [4 / (4+3+1)]Total tickets

Number of adult tickets = 36

Number of senior tickets = [3 / (4+3+1)]Total tickets

Number of senior tickets = 27

Answer:

12n+3

Step-by-step explanation:

Answer: The expression equivalent to -2(4+3x) is D. -8-6x

Answer:

-8 -6x

Step-by-step explanation:

−2(4+3x)

Distribute

-2*4 -2*3x

-8 -6x

Answer:

I-xI=12

-x=12

-x=-12

x=-12 or -12.

{-12, 12}

Answer

Algebra

Step-by-step explanation:

Intermediate is the same as algebra 2

Answer:

Step-by-step explanation:

Algebra

Answer:

[tex]y=-4\,x-4[/tex]   which agrees with answer "A" in the list of possible options

Step-by-step explanation:

From the fact that there is a steady rate of increase in the x and in the respective y values (notice that x increases in steps of 1 unit, and at the same time y values increase in steps of "-4" units) the data belongs to the equation of a line.

We can determine that equation using just two pairs of points, like for example (-1, 0) and (0, -4).

We first find the slope using the slope formula for the segment that joints any two points on the plane:

[tex]slope=\frac{y_2-y_1}{x_2-x_1} \\slope=\frac{-4-0}{0-(-1)}\\slope = -4[/tex]

we now write the slope-intercept general form of a line with slope "-4", and solve for the intercept by using the point (0,-4) which should be in the line:

[tex]y=m\.x+b\\y=-4\,x+b\\-4=-4\,(0)+b\\b=-4[/tex]

Therefore the equation for this points is:

[tex]y=-4\,x-4[/tex]

Answer:

the answer should be 7.875 I think?Hope this helps.

Step-by-step explanation:

Answer:

4.) x=-3 and y=4

Step-by-step explanation:

[x+4] + [-9x] = [28]

First plug in x into the equation

[-3+4] + [-9(-3)] = [28]

[1] + [27] = [28]

1+27=28 (True)

Next, plug in y into the equation

[y^2+1] + [-17] = [0]

[(4)(4)+1] + [-17] = [0]

[16+1] + [-17] = [0]

[17] + [-17] =[0]

17 + -17=0 (True)

The Answer is D- X = -3 and Y= 4

Answer:

D, -3, 4

Step-by-step explanation:

EDGE 2020

Answer: x = 17.2

Step-by-step explanation:

So we can combine 8.7x and 1.9x as they are considered like terms.

So basically since they have the same base of x we can disregard the x when subtracting.

So its more like 8.7-1.9 which = 6.8

Now add the x back

So it is 6.8x = 116.96

Now we need to isolate the variable.

To do this we need to divide the 6.8 on both sides.

So x = 116.96/6.8

x = 17.2

Answer:

*,-

Step-by-step explanation:

18x3=54

54-24=30

Answer:

A. (x, y) → (−x, y)

Step-by-step explanation:

The reflection over the y-axis will fix the y-component and change sign of x-component.

Hope this helps!