I need help part d of this question

Answer:

Length, l = 10 m, breadth = 8 m

Step-by-step explanation:

Let l be the length and b be the width of the rectangle.

The area of a rectangle is given by :

A = lb

80 = lb ...(1)

The perimeter of a rectangle is given by :

P = 2(l+b)

36 = 2(l+b)

18 = (l+b) ....(2)

We need to solve equation (1) and (2). On solving we get :

l = 10, b = 8

So, the dimensions of the shop is 10 m and 8 m.

Answer:

caca

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

(0)(8)(3+1−4)

=0(3+1−4)

=0(4−4)

=(0)(0)

=0

Answer: It’s -4

Step-by-step explanation:

Given:

A figure in which a transversal line intersect two parallel lines.

[tex]m\angle 2=4x+7, m\angle 7=5x-13, m\angle 5=68[/tex] and [tex]m\angle 3=3y-2[/tex].

To find:

The value of x and y.

Solution:

We know that, if a transversal line intersect two parallel lines, then

(1) Alternate exterior angles are equal.

(2) Same sided interior angles are supplementary. So their sum is 180 degrees.

In the given figure j and k are parallel lines and l is a transversal line.

From the given figure, it is clear that,

[tex]m\angle 2=m\angle 7[/tex]                (Alternate exterior angles are equal)    

[tex]4x+7=5x-13[/tex]

[tex]7+13=5x-4x[/tex]

[tex]20=x[/tex]

Therefore, the value of x is 20.

Now,

[tex]\angle 3+\angle 5=180[/tex]     (Same sided interior angles are supplementary)

[tex]3y-2+68=180[/tex]

[tex]3y+66=180[/tex]

[tex]3y=180-66[/tex]

[tex]y=\dfrac{180-66}{3}[/tex]

[tex]y=\dfrac{114}{3}[/tex]

[tex]y=38[/tex]

Therefore, the value of y is 38.

Answer:

if you use Newton's 2nd rule:

F = m* a (force = mass * acceleration)

you can rearrange the terms to:

a = F/m (acceleration = Force/mass)

which will let you solve for acceleration.

Answer: 4 Chocolates

Answer: 1,320 cl

Step-by-step explanation:

Water and orange squash are mixed in the ratio 11 : 2.

This means that at their simplest if using cl, it would take 11cl of water and 2 cl of orange squash for a proper dilution.

If 240 cl of orange sqaush is used and you need to find the amount of water, use direct proportion with x as water.

11     :    2

x     :     240

Cross-multiply:

2x = 11 * 240

x = 2,640 / 2

= 1,320 cl

Answer:

d) centimeters

cat average height is 23-25 cm

if you would write it in meters it would be 0.23-0.25 m

in mm 230-250mm

Its just the most convinient

Answer:

Slope = -2

Step-by-step explanation:

y2-y1/ x2-x1

Answer:

$19

Step-by-step explanation:

this is the answer

Answer:

the answer is 200 mph because you take and divide the 400 miles by 20 mph

Step-by-step explanation:

Answer:

1/32

Step-by-step explanation:

Anything to the power of 0 is 1.

1*x^-5 (negative power means the reciprocal)

1/2^5 = 1/32

1*1/32=1/32

When x = 2, the value of 4⁰ × x⁻⁵ is 0.03125.

To evaluate the expression 4⁰ × x⁻⁵ when x = 2, we'll substitute the value of x into the expression and perform the necessary calculations.

First, let's evaluate 4⁰. Any number raised to the power of 0 is equal to 1. Therefore, 4⁰ = 1.

Next, let's evaluate x⁻⁵ when x = 2. A negative exponent indicates the reciprocal of the base raised to the positive exponent. So, x⁻⁵ = 1 / x⁵.

Substituting x = 2, we have 1 / 2⁵.

Now, we can simplify the expression:

1 / 2⁵ = 1 / 32 = 0.03125

Therefore, when x = 2, the value of 4⁰ × x⁻⁵ is 0.03125.

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Answer:

Step-by-step explanation:

Use FOIL method

(2 - 7x)(-x + 2) = 2*(-x) + 2*2 + (-7x)*(-x) + (-7x)*2

                     = -2x + 4 + 7x² - 14x    {Combine like terms}

                   =  7x² - 14x - 2x + 4

                   = 7x² - 16x + 4

x²(2-7x)(-x + 2)= x² (7x² - 16x + 4)

                      = x²*7x² - 16x * x² + 4x²

                      [tex]7x^{2+2} -16x^{1+2} + 4x^{2}\\\\= 7x^{4} - 16x^{3} + 4x^{2}[/tex]

Answer: $‭373.08‬

Step-by-step explanation:

First find out what she earned from her normal wages.

She is paid $6.25 per hour for 30 hours in a week. Her weekly pay is therefore:

= 6.25 * 30

= $187.50

She then gets 8% of her sales as commission. Her commission is therfore:

= 8% * 2,319.75

= $‭185.58‬

Her gross pay is therefore:

= Weekly pay + Commission

= 187.50 + 185.58

= $‭373.08‬

Answer:

$7400

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4%/100 = 0.04 per year,

then, solving our equation

I = 5000 × 0.04 × 12 = 2400

I = $ 2,400.00

The simple interest accumulated

on a principal of $ 5,000.00

at a rate of 4% per year

for 12 years is $ 2,400.00.

The total amount due on a simple-interest loan if the principal is $5,000 with a rate of 4% for 12 years is $2400 and this can be determined by using the simple interest formula.

Given :

The total amount due on a simple-interest loan if the principal is $5,000 with a rate of 4% for 12 years.

The total amount due on a simple interest loan can be determined by using the simple interest formula which is given by the equation:

[tex]\rm I = PRT[/tex]

Given that time, T = 12 years

Rate, R = 4% = 0.04

Principal amount, P = $5000

Now, put the value of P, R, and T in the equation (1).

[tex]\rm I = 5000\times 0.04 \times 12[/tex]

I = $2400

The total amount due on a simple-interest loan if the principal is $5,000 with a rate of 4% for 12 years is $2400.

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The only statement that is true regarding the given graph of polynomial b(x) is; Option D; Over the interval [0, 1], b(x) is negative and is decreasing.

The given graph represents the polynomial b(x). Let us look at the options;

Option A; Over the interval (0, 1), we can see that the curve is decreasing from b(x) = 0 to b(x) = -2. Thus, the statement is wrong.

Option B; Over the interval of (0, 1), b(x) is not positive over the interval (0, 1) and so the statement is wrong.

Option C; Over the interval of (0, 1), b(x) is not positive and increasing and so the statement is wrong.

Option D; Over the interval of (0, 1), b(x) is negative and is also decreasing and so this option is correct.

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Answer:

( 10,-7)

i didn't understand what u wrote in choice

The coordinates of the point S of the line RS having midpoint T are found to be (10, -7).

In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.

here, we have,

The points that are given to us are R(-2,3) and T(4, -2).

The point T is the mid point of the line segment RS.

If A(a, b) and B(c, d) are the two points then the mid point M of the two points will be,

M = ((a+c)/2), ((b+d/2))

So, using the above modified form of section formula we can find the coordinates of the point S.

Assuming point S to be x and y.  

So, putting all the values,

(4, -2) = ((-2+x)/2), ((3+y/2))

Now, solving further, we get,

-1+x/2 = 4

-2+x = 8

x = 10

And,

3 + y = -4

y = -7

So, the coordinates are (10, -7).

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Answer:

-4

Step-by-step explanation:

as x goes up one y goes down 4

slope is change in y over change in x

-4/1=-4

The slope of the linear function represented by the table is -6.

To find the slope of the linear function represented by the table, we can use the formula for slope:

Slope (m) = (change in y) / (change in x)

Let's calculate the slope using two points from the table. We'll choose the points (-1, 2) and (2, -16):

(change in y) = -16 - 2 = -18

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

Slope (m) = (-18) / (3) = -6

Therefore, the slope of the linear function represented by the table is -6.

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Answer:

0.01%

Step-by-step explanation:

y=a (0.5)^t/5730

y=a [(0.5)^t/5730]

when you put 0.5^1/5730

it'll give you 0.99

The "equation" is y=a(1-r)^t

so 1-0.99 is 0.01

The percent of carbon-14 released each year will be 50.

Consider the function:

y = a (1 ± r) ˣ

Where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

If there is a plus sign, then there is exponential growth happening by r fraction or 100r %.

If there is a minus sign, then there is exponential decay happening by r fraction or 100r %.

The equation is given below.

[tex]\rm y= a \left ( 0.5 \right )^{t/5730}[/tex]

Where 'a' is the initial amount (in grams) and 't' represents the number of years.

The equation is also written as,

[tex]\rm y= a \left ( 0.5 \right )^{t/5730}\\\\\rm y= a \left ( 1 - 0.5 \right )^{t/5730}[/tex]

The percent of carbon-14 released each year will be 50.

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Answer:

34 weeks

Step-by-step explanation:

As given,

Wage of 1 hour = $12

⇒1$ = [tex]\frac{1}{12}[/tex] hour

⇒$3000 = [tex]\frac{3000}{12}[/tex] = 250 hour

As given,

1 week = 5 days

And he works

[tex]1\frac{1}{2} = \frac{3}{2}[/tex] hour in 1 day

⇒5 days = 5×[tex]\frac{3}{2}[/tex] = [tex]\frac{15}{2}[/tex] hours

⇒1 week = [tex]\frac{15}{2}[/tex] hours

⇒1 hour = [tex]\frac{2}{15}[/tex] week

⇒250 hour = [tex]\frac{250 . 2}{15}[/tex] = 33.34 weeks ≈ 34 weeks

∴ we get

He has to Approximately work for 34 weeks with the extra hour per day to reach your goal.

Answer:

Step-by-step explanation:

You are given adjacent and you want opposite. You can use the relationship of tangent. SOHCAHTOA

tan(51) = x/15

x = 18.5

Answer:

I believe it is: 6n+8+7y+4m

Step-by-step explanation:

You can't do anything about the numbers with variables afterwards, so you just list those and you just add and subtract the numbers without variables.  Since the top and bottom are the same, you just list it once.  Sorry, not the best explanation.  Please let me know if I am wrong.  It's been a while since I had to any type of algebra.

Answer:

7ab (a+b)(a-b)

Step-by-step explanation:

Answer:

Step-by-step explanation:

x² - x -6 = x²  + 2x - 3x - 3*2

            =x(x + 2) - 3(x + 2)

            = (x + 2 )(x - 3)

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

                      [tex]= \frac{1}{(x+2)(x-3)}-\frac{x(x-3)}{(x+2)(x-3)}\\\\=\frac{1-x(x-3)}{(x+2)(x-3)}\\\\=\frac{1-x^{2}+3x}{(x+2)(x-3)}\\\\[/tex]

Answer:

4 or 8

Step-by-step explanation:

'C. The sum of four products; there are four terms' is the correct answer

Answer:

To find the next number in the sequence, multiply the number before by 2.

By this logic, numbers 4-8 in the sequence would be 152, 304, 608, 1,216, and 2,432

Thus, the 8th term is 2,432

The correct answer is one

good luck in math