Mr. Parsons wants to build a new banister for the stair case shown. If the
rise of the stairs of a building is 5 ft and the run is 12 ft. What will be the
length of the new banister? *

Step-by-step explanation:

where is the polygon??

No need to worry, I know the original question that was being asked.

Here is the answer to the problem:

Given the factors of function f as (x-6) and (x-1), the zeros of the function are 6 and 1.

In general, given the function, f(x), its zeros can be found by setting the function to zero. The values of x that represent the set equation are the zeroes of the function. To find the zeros of a function, find the values of x where f(x) = 0.

The factors of the function f are (x-6) and (x-1).

The zeros of function f are 1 and 6.

x - 6 = 0 ⇒ x = 6

x - 1 = 0 ⇒ x = 1

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Final answer:

The zeros of function f, given the factors (x - 6) and (x - 1), are 6 and 1. Hence, the correct answer to the student's question is option C: 1 and 6.

Explanation:

The factors of function f are given as (x − 6) and (x − 1). To find the zeros of function f, we need to set each factor equal to zero and solve for x. This gives us the equations:

x - 6 = 0 → x = 6

x - 1 = 0 → x = 1

Therefore, the zeros of function f are 6 and 1. Hence, the correct answer is option C: 1 and 6.

Check the attached picture for the diagram attached to the question

Answer: VOLUME A = VOLUME B

Step-by-step explanation:

The volume of a prism = cross-sectional area × length

PRISM A:

Rectangular prism

Cross-section, as given above, equals 3units by 2units

Therefore, the Area of the cross-section equals

Area of rectangle= Length × Width

Area of rectangle( 3×2) = 6

Length = 3.61

The volume is 6 × 3.61 = 21.66 unit^3

PRISM B:

Triangular prism:

Cross-section, as given above, equals 4units by 3units

Therefore, the Area of the cross-section equals

Area of triangle = (1/2) × base × height

Area of triangle 0.5 × 4 × 3= 6

Length = 3.61

The volume is 6 × 3.61 = 21.66unit^3

Answer: D) Volume A = Volume B

Answer:

2000 bacteria

Step-by-step explanation:

The number of bacteria double 2 times because 170/85=2. 500 times 2 is 1000 and 1000 times 2 is 2000.

Answer:

24 units ²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (a + b)

where h is the perpendicular height and a, b the parallel bases

Counting the squares in the diagram gives

h = 4, a = 4, b = 8, thus

A = [tex]\frac{1}{2}[/tex] × 4 × (4 + 8) = 2 × 12 = 24 units²

To find the new price of the jeans after using a 30% off coupon, multiply the original price by the discount percentage and subtract that amount from the original price.

To find the new price of the jeans after using the 30% off coupon, you need to multiply the original price by the discount percentage and subtract that amount from the original price. Here's how:

Therefore, the new price of the jeans after using the coupon is $23.80.

Another term for y value is range.

The domain of a function is a set of values for which the function is defined.

The range of the function is the set of all values that a function takes.

Now in the given question, for another term of y-

Reciprocal- reciprocal means opposite.

Function- function is when the y values do not repeat in a pattern.

Range- Range is another term for a y value.

Independent Value - an independent value is X.

Therefore,another term for a y value is Range.

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Answer:

$50

Step-by-step explanation:

Sale on sweater = 40% .

Money saved = $20 .

Let original price be x then ,

=> 40% of x = $20

=> 40x/100 = $20

=> x = $20 *100/40

=> x = $ 50

Answer:

6.

Step-by-step explanation:

To solve this, you can set up an equation as such:

x²-18= 3x

Now, rearrange this to make it an equation in standard form:

x²-3x-18=0.

Simply turn this equation into factored form:

(x-6)(x+3)= 0.

The only positive solution here is x=6.

The problem is about a quadratic equation where a number's square, minus 18 equals 3 times the number. This equation is solved by factoring to get two potential solutions, -3 and 6. The positive solution is 6.

The subject matter of this question is quadratic equations in Mathematics. We are to find a number where the difference between the square of the number and 18 is equal to 3 times the number.

We first turn this into a quadratic equation:x2 - 3x - 18 = 0. Then we solve using a technique such as factoring which results to (x - 6)(x + 3) = 0. Giving the solutions x = 6 and x = -3.

Since you asked for the positive solution, x = 6 is the correct answer.

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Answer:

see explanation

Step-by-step explanation:

Calculate the length using the distance formula

AB = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = A(4,3) and (x₂, y₂ ) = B(- 2, 1)

AB = [tex]\sqrt{(-2-4)^2+(1-3)^2}[/tex]

     = [tex]\sqrt{(-6)^2+(-2)^2}[/tex]

     = [tex]\sqrt{36+4}[/tex]

     = [tex]\sqrt{40}[/tex]

     = [tex]\sqrt{4(10)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{10}[/tex] = 2[tex]\sqrt{10}[/tex] ← exact length

Answer:

The weight of the box of candies is 1.5b kg greater than the weight of the watermelon.

Step-by-step explanation:

Let's begin by listing out the variables we were given:

weight of the watermelon = b (kg),

weight of watermelon = (2/5) * weight of candies

weight of candies = 1 ÷ (2/5) = 1 ÷ 0.4

weight of candies = 2.5b (kg)

How much is the weight of the box of candies greater than the weight of the watermelon is given by:

weight of the box of candies - weight of watermelon= 2.5b - b = 1.5b (kg)

Therefore, the weight of the box of candies is greater than the weight of the watermelon by 1.5b (kg)

Answer:

g(x) = -2x - 2

Step-by-step explanation:

When translating up, you are changing the y-intercept, b, or in this case, -9.

To solve this, simply add 7 to -9, since you are moving upwards. You will get -2.

Hope this helps!

= Cube root of -27 = -3 (because the factors of 27 = 3×3×3)

= Cube root of 125 = 5 ( because the factors of 125 = 5×5×5)

Thus, cube root of -27/125 = -3/5

Answer:

-3/5

Step-by-step explanation:

hello :

- 27 =(-3)^3  and  125= 5^3

-27/125 ​ = (-3)^3 / 5^3 = (-3/5)^3  

so : ∛((-3/5)^3 )= -3/5

Answer:

P= 7/9 miles

A= (7/18) miles²

Step-by-step explanation:

Length 'l' = (1/6) mile

Width 'w'= (2/9) mile

Perimeter 'P' is given by:

'P' = 2l + 2w => 2(1/6) + 2(2/9)

P= 7/9 miles

Area 'A' is given by:

A= l x w =(1/6) x (2/9) = (7/18) miles²

Answer:

C. 45.82

Step-by-step explanation:

We know the circumference is given by

C = 2 * pi *r

24 = 2 * 3.14 * r

24 = 6.28r

Divide each side by 6.28

24/6.28 = r

r = 3.821656051

We want to find the area

A = pi r^2

A =3.14 * (3.821656051) ^2

   =45.85987261

Answer:

Height of the building is 32.67 meters.

Step-by-step explanation:

Volume of a Pyramid = [tex]\frac{1}{3}(\text{Area of the rectangular base})(\text{Height})[/tex]

Side of the square base of the Memphis pyramid = 180 m

Height of the pyramid = 98 meters

Volume = [tex][\frac{1}{3}(180)^2](98)[/tex]

             = 1058400 cubic meters

Another building having the same base and volume, is in the shape of a prism.

Therefore, Volume of the pyramid = volume of the building(prism) = 1058400 cubic meters

Volume of the prism = (Area of the base) × height

1058400 = (180)²h

h = [tex]\frac{1058400}{180\times 180}[/tex]

h = 32.67 meters

Therefore, height of the building in the prism shape is 32.67 meters.  

Answer:

photo please!

Step-by-step explanation:

Answer:

x=0

Step-by-step explanation:

10(x-2) = -20

10(-2) = -20

A positive multiplied by a negative is a negative.

Hope this helps!

-MoCKEry

Answer:

0

Step-by-step explanation:

10(x−2)=−20

10x -20=-20

10x=0

x=0

Answer: It will be a hollow cylinder, the central core has a radius of 2 and It will have a surface area equal to 48pi

Step-by-step explanation:

Just did it on algebra nation

Answer: 280

To find the total number of 6th grade students at Dutchtown Middle, we can set up a proportion based on the information given:

- 45% of the 6th graders went to the Valentine's Dance.

- 126 students attended the dance.

Let us denote the total number of 6th grade students as N.

Given that 45% of the 6th graders is equal to 126 students, we can write the equation as:

(45/100)N = 126

[tex]\[ 0.45N = 126 \][/tex]

[tex]\[ N = \frac{126}{0.45} \][/tex]

[tex]\[ N = \frac{126}{0.45} \]\[ N = 280 \][/tex]

Therefore, the total number of 6th grade students at Dutchtown Middle is 280.

Answer:

the correct answer would be 3030000000

Step-by-step explanation:

2500000000+530000000=3030000000

Answer:

All positive. :)

Step-by-step explanation:

took it give me brainelist if it's right ty

Answer:

THE ANSWER IS A

Step-by-step explanation:

Answer:

y = 5x

Step-by-step explanation:

The standard equation for directly proportional equations is y = kx. We can see that y is directionally proportional to x when y = 30 and x = 6 and we need to work out an equation connecting x and y.

→ First step is to substitute in the values

y = k × x

30 = k × 6

→ Divide both sides by 6 to isolate k and find the value of k

5 = k

k = 5

→ Now we substitute k = 5 back into y = kx

y = 5x

Answer:

y=5x

Step-by-step explanation:

The answer is y=5x hope you have a nice day!

Answer:

Long story short its C)

Step-by-step explanation:

Option B is correct, (-3 + 5i) (1) = -3 + 5i equation demonstrates the multiplicative identity property

A number system is defined as a system of writing to express numbers.

The multiplicative identity property is a multiplicative property in mathematics where each number multiplied by 1 will produce the original number or can be stated simply  :

"The product of any number and one is that number"

So The Multiplicative Identity is 1 can be stated in the formula:

a×1=1×a=a

(-3 + 5i) (1) = -3 + 5i

This is a multiplication operation and 1 is a Multiplicative Identity of multiplication, so the statement is true

Hence, option B is correct, (-3 + 5i) (1) = -3 + 5i equation demonstrates the multiplicative identity property

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Answer:2.5

Step-by-step explanation:

Answer:

By using function notation

This question os incomplete

Answer: A commercial bank.

if i could get brainliest that would be great

Step-by-step explanation:

Commercial banks are financial institutions whose functions, among many, are: offering banking services to individuals, groups and companies, to make profit. One of the roles performed by these types of financial institutions is to credit loans to individuals, small businesses, and other groups, and as such, they are the first line to which a small business, such as the one controlled by Glenn and Maggie, would go to, to request a loan to be able to open up their other branches. This bank would give them the loan and allow them to make profit, without having any ties to the banking institution, just as long as they return the investment given to them.

A "commercial bank" is most suitable for Glenn and Maggie’s business. A further explanation is below.

Thus the above answer is correct.

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