The width of a rectangle is 4 cm less than the length. The perimeter is at most 48 cm. What are the restrictions on the dimensions of the rectangle?

Answer:

131

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₁₂ = 38 and a₈₅ = 257 , then

a₁ +11d = 38 → (1)

a₁ + 84d = 257 → (2)

Subtract (1) from (2) term by term

73d = 219 ( divide both sides by 73 )

d = 3

Substitute d = 3 into (1)

a₁ + 11(3) = 38

a₁ + 33 = 38 ( subtract 33 from both sides )

a₁ = 5

Thus

5 + 3(n - 1) = 395 ( subtract 5 from both sides )

3(n - 1) = 390 ( divide both sides by 3 )

n - 1 = 130 ( add 1 to both sides )

n = 131

Thus there are 131 terms in the sequence

Answer:

[tex] {9}^{3} [/tex]

Step-by-step explanation:

[tex]9 \times 9 \times 9 \\ = {9}^{3} [/tex]

Answer:

70

Step-by-step explanation:

Step 1:

a² + b² = c²

Step 2:

56² + 42² = 4900

Step 3:

4900 ÷ 70 = 70

Answer:

70

Hope This Helps :)

Answer:

I think its 22/25 , 0.8888, and then 8/9

Step-by-step explanation:

first convert them to decimals

can i get brainliest

Answer:

Option (2)

Step-by-step explanation:

From the picture attached,

m∠JKL = m∠JMK + m∠KML

Since, m∠KML + m∠HML = 180° [Linear pair of the angles]

m∠HML = 180° - m∠KML

              = 180° - 132°

              = 48°

Therefore, m∠JML = 41° + 48°

                               = 89°

Since measure of angle JML is less than 90°, by definition of an acute angle it will be an acute angle.

Option (2) will be the answer.

Answer:

The answer is acute bru

Step-by-step explanation:

Answer:4200

Step-by-step explanation:

Answer:

x < - 3

Step-by-step explanation:

Given the interval (- ∞, - 3 )

The parenthesis on both ends indicates that x cannot equal the end values.

Thus

x < - 3 represents the interval

Answer:

r^14

multiply r^5xr^9 by adding the exponents

Answer:

C . y= 5x -18

Step-by-step explanation:

[tex](5,7) = (x_1 ,y_1) \\ (8,22)=(x_2,y_2)[/tex]

Plug in the values into the following equation

[tex] \frac{y - y _1}{x - x_1} = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

[tex] \frac{y - 7}{x - 5} = \frac{22 - 7}{8 - 5} \\ \frac{y - 7}{x - 5} = \frac{15}{3} [/tex]

Cross Multiply

[tex]3(y - 7) = 15(x - 15) \\ 3y - 21 = 15x - 75[/tex]

Collect like terms and simplify

[tex]3y = 15x - 75 + 21 \\ 3y = 15x - 54[/tex]

Divide through by 3

[tex] \frac{3y}{3} = \frac{15x}{ 3 } - \frac{54}{3} \\ y = 5x - 18[/tex]

Answer:

18.49 ounces

Step-by-step explanation:

Answer:

y=2/3-4

Step-by-step explanation:

Answer:

$4501

Step-by-step explanation:

Since we are already given the amount gained in 4 years, we simply need to subtract the same amount to find the balance 4 years ago.

4709-208=4501

$4501

Answer:

Hey there!

6x>-18

Divide by 6 on both sides

x>-3

Let me know if this helps :)

Answer:

See below.

Step-by-step explanation:

So we have:

[tex]\text{if }j=k\text{ then } k=j[/tex]

This is an example of the symmetric property. The equation remains true every if you flip them.

-19+44

-361+1936

1575

therefore 2 squareroot-19+44

=1575

Answer:

1/(-3)

Step-by-step explanation:

Simplify the following:

2/(-6)

Hint: | Reduce 2/(-6) to lowest terms. Start by finding the GCD of 2 and -6.

The gcd of 2 and -6 is 2, so 2/(-6) = (2×1)/(2 (-3)) = 2/2×1/(-3) = 1/(-3):

Answer: 1/(-3)

Answer:

5/4

Step-by-step explanation:

1/20, 2/3, and 20/25 do not have a whole number that could fit in them when 5/4 does (1 1/4) so when all the other fractions can't have a whole number fit in, 5/4 or 1 1/4 does.

The fraction 5/4 does not belong to.

A fraction is a quantity which is not whole number. In the mathematical expression, a fraction usually has a numerator and a denominator.

The numerator is the number top of the fraction. While the denominator is the number below of the fraction.

for example, a fraction is = 3/8

where 3 is the numerator while 8 is the denominator

A proper fraction is a fraction in which the numerator is smaller than the denominator in value .

For an example is 3/7

An improper fraction is a fraction in which the numerator is greater than the denominator in value.

For an example is 7/3

Here given in the options, 1/20, 20/25, and 2/3 are proper fractions because their numerator is smaller than the denominator in value. (as 1<20, 20<25, 2<3)

But 5/4 is an improper fraction as numerator is greater than the denominator in value.

So 5/4 does not belong to because it is an improper fraction while others are the proper fraction.

Learn more about proper and improper fraction

here: https://brainly.com/question/2445936

#SPJ2

Answer:

over the interval [2,3)

for an input value of 1.5, the corresponding output value is -2

Step-by-step explanation:

Answer:

The average velocity of the ball at the given time interval is -122.3 ft/s

Step-by-step explanation:

Given;

velocity of the ball, v = 34 ft/s

height of the ball, y = 34t - 26t²

initial time, t₀ = 3 seconds

final time, t = 3 + 0.01 = 3.01 seconds

At t = 3 s

y(3) = 34(3) - 26(3)² = -132

The average velocity of the ball in ft/s is given as;

[tex]V_{avg} = \frac{y(3.01)-y(3)}{3.01 -3}\\\\V_{avg} = \frac{34(3.01)-26(3.01)^2-y(3)}{3.01 -3}\\\\V_{avg} = \frac{-133.223-y(3)}{0.01}\\\\V_{avg} = \frac{-133.223-(-132)}{0.01}\\\\V_{avg} =\frac{-1.223}{0.01}\\\\V_{avg} = -122.3 \ ft/s[/tex]

Therefore, the average velocity of the ball at the given time interval is -122.3 ft/s

Answer:

the graph you are looking for should look like this!

Step-by-step explanation:

hope this helped!

(hint* if you are ever in trouble use desmos! its a free online graphing calculator and HELPS SOO much! its what i used to give you the answer, i just typed in the inequality and it tells you the answer)

The shaded region represents the possible solutions of the inequality.

Given is the inequality -

y ≤ (1/2)x - 4

Refer to the graph of the inequality attached. It is showing the inequality being plotted. The shaded region represents the possible solutions of the inequality.

Therefore, the shaded region represents the possible solutions of the inequality.

To solve more questions on equations, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ2

Answer:

-2y2 - 4y - 7

Step-by-step explanation:

2y2 + 2y2 - 6y2 - 4y - 5 - 3 + 1

4y2 - 6y2 - 4y - 8 + 1

-2y2 - 4y - 7

Answer:

Steps to solve:

3^2 • 3^-8 • 3^0

~Apple exponent rule [ a^b * a^c = a^b+c ]

3^2-8+0

~Simplify

3^-6

~Use exponent rule [ a^-b = 1/a^b ]

1/3^6

~Simplify

1/729

Best of Luck!

Answer:

3^-6 which equals 1/3^6

Step-by-step explanation:

all you do is add the exponents.

3^0 is equal to 0 so that one doesn't matter, you just cross it out.

now you're left with 3^2x3^-8

so add 2+(-8) which is -6 so the answer is: 3^-6

since the exponent is negative, you put a 1 above the problem, making it a fraction: 1/3^-6

Answer: The correct answer would be B,D,E

Step-by-step explanation: I AM TAKING THE TEST

Answer:

Equilateral Triangle, Isosceles Triangle, Scalene Triangle

Step-by-step explanation:

Equilateral: 3 lines of symmetry

Isosceles: 1 line of symmetry

Scalene: no lines of symmetry

Answer:

Step-by-step explanation:

To write 3km: 500m in its lowest terms. we need to make sure the units are the same.

Converting 3km to metres:

Since 1km = 1000m

3km = (3*1000)m

3km = 3000m

The expression becomes 3000m:500m

3000m:500m = 3000/500

3000m:500m = 6*500/500*1

3000m:500m = 6/1

Hence 3km: 500m in its lowest term is 6:1

Answer:

Step-by-step explanation:

5x - 17 + 3x - 11 = 180

8x - 28 = 180

8x = 208

x = 26

Answer:

The answer would be x=26

Step-by-step explanation:

Answer:

40p + 10 (1.5p)

Step-by-step explanation:

= 40 · p + (50-40) · (1.5p)

= 40p + 10 (1.5p)