15 points
grade 7 math

9514 1404 393

Answer:

  area = 2w² -6w

Step-by-step explanation:

For width w, the length is ...

  L = 2w -6

and the area is ...

  A = LW = (2w -6)(w) = 2w² -6w . . . area of the rectangle

Step-by-step explanation:

that each shirt is 6 dollars

The answer for this question is A:

A = x = –t + 1 and y = 0.5t + 4 when –2 ≤ t ≤ 6

The parametric equations of the curve are:

x = –t + 1 and y = 0.5t + 4 when –5 ≤ t ≤ 3

The parametric equation of the line is, [tex]x=x_0+at,y=y_0+bt[/tex] where [tex](x_0,y_0)[/tex] is the point on the line and [tex]\frac{b}{a}[/tex] is the slope of the line with a, b are real numbers.

If (a, b) and (c, d) are any two points on the line then, slope of the line is:

m = (d - b)/(c - a)

For given situation,

a line goes from (-5, 7) to (3, 3).

Using the formula of slope, the value of m i.e., slope of the line  would be,

⇒ m = (7 - 3)/(-5 - 3)

⇒ m = 4/(-8)

⇒ m = 1/(-2)

⇒ m= 0.5/(-1)

Comparing with m = b/a,

b = 0.5 and a = -1.

From the graph of the line given below,

A point (1, 4) is also on the line.

Let [tex]\bold{(x_0,y_0)=(1,4)}[/tex]

Using the parametric equation of the line,

[tex]x=x_0+at[/tex]

⇒ x = 1 + (-1)t

⇒ x = -t + 1

and [tex]y = y_0+bt[/tex]

⇒ y = 4 + (0.5)t

⇒ y = 0.5t + 4

Therefore, the parametric equations of the curve are:

x = –t + 1 and y = 0.5t + 4 when –5 ≤ t ≤ 3

Learn more about the parametric equations here:

https://brainly.com/question/9056657

#SPJ2

Answer:

B. 226.08 sq in

Step-by-step explanation:

Given data

r= 3 in

h= 9in

The expression for the surface area of a cylinder is

A=2πrh+2πr^2

Substitute

A= 2*3.142*3*9+ 2*3.142*3^2

A= 169.668+ 2*3.142*9

A= 169.668+ 56.556

A=226.224 sq in

Answer:

D) x=-1, x=-9

Step-by-step explanation:

x=-1, x=-9

Answer:

its 96 because it is corresponding to both the 96 degrees in the fig

theoretical probability is based on logic as in:

there's a spinner with five equal sections. There would be a theoretical probability of 20% for each section

Experimental probability is based on results of previous experiments such as:

Damien spun that same spinner 10 times and landed on the red section 3 of ten times

Answer: 1/50 or 0.02

Step-by-step explanation:

30 / 1500 = 1/50

1/50 or 0.02

Answer:

The first one is missing (d - 9) so it would be 5(d -9) or when you factor it out 5d - 45

In the second one (d + 7) is missing so it will be 8d(d + 7) so if you factor that out you will receive 8d^2 + 56

Step-by-step explanation:

3d^2 + 18d -21 =(3d -3)( d + 7)

3d^2 -30d +27 =(3d -3)(d - 9)

Answer:

84in(the first one)

Step-by-step explanation:

You multiply it al together

7 x 3 x 4 = 84

Answer:

[tex]5(w + 4) \\ = 5(9 + 4) \\ = 5 \times 13 \\ = 65[/tex]

Answer:

C

Step-by-step explanation:

Answer:

Can't be Solved

Step-by-step explanation:

tan x = opp/adj

tan x = 23/11

tan x = 2.09090909 which is about

tan x = 2.09

x = 64.4 degrees which is the tangent of 2.09 in degrees.

x = 64.4 degrees

This is the only way to solve, since no answer is equivalent it can't be solved.

Answer:

x = 3 and y = 7

Step-by-step explanation:

Given that,

8x+3y=45 .......(1)

2x+3y=27 ........(2)

We need to solve equations (1) and (2)

Multiply equation (2) by 4.

8x+12y=108 .....(3)

Subtract equation (1) from (3).

8x+12y-(8x+3y)=108-45

12y-3y = 63

9y = 63

y = 7

Put the value of y in equation (1).

2x+3(7)=27

2x+21 = 27

2x = 27-21

2x = 6

x = 3

So, the values of x and y are 3 and 7 respectively.

9514 1404 393

Answer:

  yes

Step-by-step explanation:

A negative exponent in the numerator is the same as a positive exponent in the denominator (and vice versa). So, the first two expressions are equivalent.

An exponent is an indication of repeated multiplication. So, the 2nd and 3rd expressions are equivalent.

Any product can be decomposed to a product of its factors. So, the last two expressions are equivalent.

All of the expressions are equivalent.

Answer:

9

Step-by-step explanation:

because 14-9=5

or 5+9=14

Hope this helped, plz give me brainiest.

Answer:

5/4 or 1 1/4 or 1.25

Step-by-step explanation:

Answer:

10 times plz mark brainliest

Answer:

10

Step-by-step explanation:

10×10=100. TRUST ME I DID THE MATH

Answer:

[tex](x-4)^2+(y-7)^2=125[/tex]

Step-by-step explanation:

1) Find the radius

To find the radius of the circle, use the distance formula for the points (4,7) and (-7,9)

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] where the two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the points (4,7) and (-7,9)

[tex]d=\sqrt{(-7-4)^2+(9-7)^2}\\d=\sqrt{(-11)^2+(2)^2}\\d=\sqrt{121+4}\\d=\sqrt{125}[/tex]

Therefore, the radius of the circle is [tex]\sqrt{125}[/tex] units.

2) Plug all data into the circle equation

Equation of a circle (not centred at the origin):

[tex](x-h)^2+(y-k)^2=r^2[/tex] where the centre is [tex](h,k)[/tex]

Plug in the point (4,7) as (h,k)

[tex](x-4)^2+(y-7)^2=r^2[/tex]

Plug in the radius [tex]\sqrt{125}[/tex]

[tex](x-4)^2+(y-7)^2=(\sqrt{125}) ^2\\(x-4)^2+(y-7)^2=125[/tex]

I hope this helps!

x should be 180 I think

Answer:

para de ser joto cuhhhhhhhhhhhhh

Step-by-step explanation:

ok ok ok so no sabo

Answer: Yes

Step-by-step explanation: A rational number is a number that can be described as a fraction. -92 can be a fraction, therefor it's rational.

No

A rational number is any number that can be expressed as a ratio of two integers. For example, 1.5 is rational since it can be written as 3/2, 6/4, 9/6 or another fraction or two integers. Pi is irrational since it cannot be written as a fraction.

Answer:

The percentage rate of decay per year is of 5.19%.

The function  showing the mass of the sample remaining after t is [tex]A(t) = 520(0.9481)^t[/tex]

Step-by-step explanation:

Exponential equation of decay:

The exponential equation for the amount of a substance is given by:

[tex]A(t) = A(0)(1-r)^t[/tex]

In which A(0) is the initial amount and r is the decay rate, as a decimal.

Every 13 years, its mass decreases by half.

This means that [tex]A(13) = 0.5A(0)[/tex]. We use this to find r. So

[tex]A(t) = A(0)(1-r)^t[/tex]

[tex]0.5A(0) = A(0)(1-r)^{13}[/tex]

[tex](1-r)^{13} = 0.5[/tex]

[tex]\sqrt[13]{(1-r)^{13}} = \sqrt[13]{0.5}[/tex]

[tex]1 - r = (0.5)^\frac{1}{13}[/tex]

[tex]1 - r = 0.9481[/tex]

[tex]r = 1 - 0.9481[/tex]

[tex]r = 0.0519[/tex]

The percentage rate of decay per year is of 5.19%.

The initial mass of a sample of Element X is 520 grams

This means that [tex]A(0) = 520[/tex]. So

[tex]A(t) = A(0)(1-r)^t[/tex]

[tex]A(t) = 520(1-0.0519)^t[/tex]

[tex]A(t) = 520(0.9481)^t[/tex]

The function  showing the mass of the sample remaining after t is [tex]A(t) = 520(0.9481)^t[/tex]

Answer:

D

Step-by-step explanation:

5 1/2= 5 2/4

5 2/4 - 1 3/4 = 3 3/4

Answer:

3 3/4

Step-by-step explanation:

5 1/2 - 1 3/4

5 2/4 - 1 3/4

22/4 - 7/4

15/4

3 3/4

Answer:

-6

Step-by-step explanation:

Absolute value for positive numbers is just that number

Negative numbers are the opposite when doing absolute value

Absolute value of -6 is 6