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Answer:

16

Step-by-step explanation:

Answer:

16 feet is the length.

Step-by-step explanation:

The area of a rectangle is A = L x W

If we know the area then:

208 = L x 13

208/13 = L

L= 16 feet

Answer:

x = -9

Step-by-step explanation:

Given:

BC = x + 19

ST = x + 29

Required:

Value of x

Solution:

Midsegment theorem states that the midsegment of a triangle = ½ of the length of its third side

Thus:

BC = ½(ST)

Substitute

x + 19 = ½(x + 29)

Multiply both sides by 2

2(x + 19) = x + 29

2x + 38 = x + 29

Collect like terms

2x - x = -38 + 29

x = -9

Answer:

3.79 centimetres

Step-by-step explanation:

1 day = 24 hours

91 ÷ 24 = 3.79 centimetres

Answer:

if the question you're asking is how many cm does bamboo grow per hour, then around 3.81 cm per hour.

Answer:

x=70

Step-by-step explanation:

To solve this problem, you set up the equation 45+(2x-5)=180

Next, subtract 45 from 180 to get the equation 2x-5=135

After that, add 5 to 135 to get 2x=140

Divide 140 by 2 to get X=70

Answer:

It's a parallelogram because it has two parallel side (a,d)+(b,c) or (a,b)+(d,c). The shape is connected by the line "a,d"

Step-by-step explanation:

Answer:

2 3/5 :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Standard equation of a circle is given by,

(x - h)² + (y - k)² = r²

Here, (h, k) is the center of the circle.

From the graph given in the picture,

Center of the circle → (-1, 1)

Radius of the circle = 3 units

Therefore, standard equation of the circle will be,

(x + 1)² + (y - 1)² = 3²

(x + 1)² + (y - 1)² = 9

General equation of the circle is the expanded form of the standard equation.

x² + 2x + 1 + y² + 1 - 2y = 9

x² + y² + 2x - 2y + 2 = 9

x² + y² + 2x - 2y - 7 = 0

Therefore, general equation of the given circle is,

x² + y² + 2x - 2y - 7 = 0

Answer:

4/52 or 1/13 (simplified)

Step-by-step explanation:

There are 4 "10's" in a pack.

This means you have the chance to pick 4 10's.

So out of 52 cards, you can get 4.

4/52 -> Which can be simplified to 1/13.

This is the probability of getting a 10 (once) in a standard deck of cards.

The probability of drawing a 10 from a standard deck of 52 cards is 1/13.

Number of 10's in a standard deck of 52 cards  =4

Total cards =52

Probability is the measurement of the possibilities of events.

P(event) =Favorable outcomes/ Total possible outcomes

Here, Favorable outcomes =4

Total possible outcomes =52

P(10) =4/52

P(10) =1/13

So, the probability of drawing a 10 from a standard deck of 52 cards =1/13

Thus, the probability of drawing a 10 from a standard deck of 52 cards is 1/13

To get more about probability visit:

https://brainly.com/question/24756209

Answer:

-3

Step-by-step explanation:

The slope should be -3 since the rise is -3 and the run is 1 it would be -3/1.

Answer:

4.8

Step-by-step explanation:

area of rectangle = lxb = 8x

area of trapezium =  (a+b)h/2 = ( x+13)6 /2 = 3x + 39

Aea of whole figure = 91.8

8x + 3x+ 39 = 91.8

11x = 91.8-39

x= 52.8 /11 = 4.8

I hope im right! !t

Answer:

[tex]Rate = -2h-1[/tex]

Step-by-step explanation:

Given

[tex]f(x) = -2x^2 + 3x - 7[/tex]

[tex]Interval: [1,1+h][/tex]

Required

The average rate of change

This is calculated as:

[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]

Where:

[tex][a,b] = [1,1+h][/tex]

So, we have:

[tex]Rate = \frac{f(1+h) - f(1)}{1+h - 1}[/tex]

[tex]Rate = \frac{f(1+h) - f(1)}{h}[/tex]

Calculate f(1+h) and f(1)

[tex]f(x) = -2x^2 + 3x - 7[/tex]

[tex]f(1) = -2 * 1^2 + 3 * 1 - 7 = -6[/tex]

[tex]f(1+h) = -2 * (1+h)^2 + 3 * (1+h) - 7[/tex]

Evaluate squares and open bracket

[tex]f(1+h) = -2 * (1+h+h+h^2) + 3+3h - 7[/tex]

[tex]f(1+h) = -2-2h-2h-2h^2 + 3+3h - 7[/tex]

[tex]f(1+h) = -2-4h-2h^2 + 3+3h - 7[/tex]

Collect like terms

[tex]f(1+h) = -2h^2-4h +3h-2+ 3 - 7[/tex]

[tex]f(1+h) = -2h^2-h-6[/tex]

So, we have:

[tex]Rate = \frac{f(1+h) - f(1)}{h}[/tex]

[tex]Rate = \frac{-2h^2-h-6 - -6}{h}[/tex]

[tex]Rate = \frac{-2h^2-h-6 +6}{h}[/tex]

[tex]Rate = \frac{-2h^2-h}{h}[/tex]

Factorize the numerator

[tex]Rate = \frac{h(-2h-1)}{h}[/tex]

Divide

[tex]Rate = -2h-1[/tex]

Answer:

Don't click the site its a scam and will give your phone a virus

Answer:

Hello!

Distributive property: a(b+c)=ab+ac

Minus and plus sign.

Then multiply by the numbers.

Hope this helps!

Thanks!

Have a great day!

Step-by-step explanation:

Answer:

Step-by-step explanation:

2 should be 50 degrees as well. 1 should be 130 (to get the needed 180) 3 should be 130 degrees.  Hopefully this is correct

Answer:

It's geometric and common difference is 3

Step-by-step explanation:

15/5=3

45/15=3

Answer:

its geometric and the common ratio is 3

Step-by-step explanation:

Answer:

-4x, 1y, -14

Step-by-step explanation:

Hope this helps :)

Answer:

B

Step-by-step explanation:

Anything to the 0 power is 1

Answer:

3

Step-by-step explanation:

Given that,

[tex]f(x) =-x^3-8x^2-15x+3[/tex]

We need to find the value of  f(x) when k = -5

Put x = -5 in th  given function.

So,

[tex]f(-5) =-(-5)^3-8(-5)^2-15(-5)+3\\\\=3[/tex]

Hence, the value of the given function is equal to 3.

Answer:

Step-by-step explanation:

x+ y = 0  

and

-2x + 5y + 2 = 0

Step-by-step explanation:

given line

3x+5y+2=0

5x+3y-2=0

solution

when two line bisect each other then line equation of bisector is express as

  1

and here

A1 = 3

B1  = 5

C1 = 2

and

A2 = 5

B2  = 3

C2 = -2

so now put value in equation 1 we get

solve it we get

-2x + 5y + 2 = 0   1

and

3x+5y+2 = - ( 5x+3y-2 )

solve it we get

8x + 8y = 0

x + y = 0  2

Answer: D -12x +12y -2 =0

Step-by-step explanation:

Edge 2021

Answer:

6

i think the - was meant to be an = instead of -

Step-by-step explanation:

rate of change is the same as slope

that is slope-intercept form.

y=mx+b

m is slope

slope= 6

Answer:

The rate of change is 6

Step-by-step explanation:

Set the equation equal to 0:

y-6x+3=0

Now solve for y because we want the equation in y=mx+b form where m is the rate

Subtract 3:

y-6x=-3

add 6x

y=6x-3

Now in y=mx+b form

m would equal 6

Answer:

$19,500 - $1000

Step-by-step explanation:

the amount Brianna earns in excess of the amount Lisa earns can be determined by subtracting the amount Brianna earns from that Lisa earns

$19,500 - $1000 = $18,500

Answer:

Step-by-step explanation:

Let the depreciation rate is x per year, then we have:

Exponential function for this case is:

Value of the car after 3 years:

Answer:

$400

Step-by-step explanation:

The future value of the investment increase will be $6,028.98.

The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest. Compound interest is commonly abbreviated C.I. in mathematics.

Given:

P = $3000

R = 7%

T = 10 years

r = R/100

r = 7/100

r = 0.07 rate per year,

Then solve the equation for A

A = P[tex](1 + r/n)^{nt[/tex]

A = 3,000.00[tex](1 + 0.07/12)^{(12)(10)[/tex]

A = 3,000.00[tex](1 + 0.0058333333333333)^{(120)[/tex]

A = $6,028.98

Hence, the future value will be $6,028.98.

Learn more about Compound Interest here:

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Answer:

d

Step-by-step explanation:

Answer: D

Step-by-step explanation:

The probability of picking a brown pencil greater than the probability as NOT picking a brown pencil because there more brown pencils than purple so there is a higher chance you will get a brown than NOT get a brown.

Answer:

Positive 233

Step-by-step explanation:

7300-3280-2620-1167(14000/12)=233.

Answer:

A

Step-by-step explanation:

Given

P(t) = 60 [tex](3)^{\frac{t}{2} }[/tex]

Then

P(1) = 60 × [tex]3^{\frac{1}{2} }[/tex] = 60[tex]\sqrt{3}[/tex]

P(2) = 60 × 3 = 180

P(3) = 60 × [tex]3^{\frac{3}{2} }[/tex] = 60 ×[tex]\sqrt{3^{3} }[/tex] = 60 × 3[tex]\sqrt{3}[/tex] = 180[tex]\sqrt{3}[/tex]

P(4) = 60 × 3² = 60 × 9 = 540

P(5) = 60 × [tex]3^{\frac{5}{2} }[/tex] = 60 × [tex]\sqrt{3^{5} }[/tex] = 60 × 9[tex]\sqrt{3}[/tex] = 540[tex]\sqrt{3}[/tex]

P(6) = 60 × 3³ = 60 × 27 = 1620

From these 6 results we see that

P(3) = 3 × P(1)

P(4) = 3 × P(2)

P(5) = 3 × P(3)

P(6) = 3 × P(4)

The predicted number of organisms triples every 2 days → A

Answer:

[tex]\sqrt{-25} = 5i[/tex]

Step-by-step explanation:

Given

[tex]\sqrt{-25[/tex]

Required

An equivalent

We have:

[tex]\sqrt{-25[/tex]

Express -25 as -1 * 25

[tex]\sqrt{-25} = \sqrt{-1 * 25}[/tex]

Split

[tex]\sqrt{-25} = \sqrt{-1} * \sqrt{25}[/tex]

[tex]\sqrt{25} = 5[/tex], so:

[tex]\sqrt{-25} = \sqrt{-1} * 5[/tex]

[tex]\sqrt{-1} = i[/tex] --- complex numbers

So:

[tex]\sqrt{-25} = i * 5[/tex]

[tex]\sqrt{-25} = 5i[/tex]

Hence, the equivalent is (D)