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3 years ago

Help now asap! The stack consists of five rows of boxes that are all the same size.

Mathematics

1 answer:

gayaneshka [121]3 years ago

4 0

Answer:

Option (a) 55

Step-by-step explanation:

No. of boxes=1²+2²+3²+4²+5²=55

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Question 19 of 25 -

zubka84 [21]

X+14 because (look at the picture)

5 0

3 years ago

Write the equatoin of a graph that has Roots of x={-2,0,4} and has a point of (-1,10)

zheka24 [161]

Step-by-step explanation:

to have "roots" means that the function delivers 0 as function result for these values of x.

so,

f(x) = 0 for x = -2, x = 0 and x = 4

we can build this function as a product of factors.

each factor is an expression of x that turns 0 for the given value of x.

what is the simplest expression of x that turns 0, when x = -2 ?

well : x + 2

as you can easily see, this is 0, when x = -2.

and the easiest existing of x that is 0, when x = 0 ?

totally simple : just x.

and then x - 4 for x = 4

so, our function is

f(x) = x(x + 2)(x - 4)

but : this is one of infinite possibilities.

let's see what happens, if we use the x coordinate (-1) of the given point (-1, 10).

we know, the result must be 10.

-1×(-1 + 2)(-1 - 4) = -1×1×-5 = 5

aha ! so, in order to get 10 instead of just 5 we must multiply the whole thing by 2.

as n×0 is always still 0, this does not change our 0 points (or roots).

so, our full function is :

f(x) = 2x(x + 2)(x - 4)

or, if you need the function as a polynomial, we need to do the multiplications :

f(x) = 2x(x² - 4x + 2x - 8) = 2x(x² - 2x - 8) = 2x³ - 4x² - 16x

3 0

2 years ago

28 students in the class 75% pass how many students pass

SashulF [63]

Answer:

21 students pass

Step-by-step explanation:

Firstly, you can set up the problem into an equation where the variable X would equal the number of students passing. You put X over the total number of students in the class, turning it into a fraction, then set it equal to the fraction $\frac{75}{100}$ (which is 75% represented as a fraction).

$\frac{X}{28} = \frac{75}{100}$

The fraction $\frac{75}{100}$ can be simplified, because 75 and 100 are both multiples of 25, so after canceling out the 25s you would be left with $\frac{3}{4}$ .

$\frac{X}{28} = \frac{3}{4}$

Next, you use the process of cross multiplication which is essentially just multiplying the denominators of both fractions (which would be 28 and 4 in this case) to each side of the equation.

$\frac{X}{28} * 28 * 4 = \frac{3}{4} * 4 * 28$

The denominators cancel out leaving you with a simple equation to simplify.

$4* X = 3 * 28$

$4X = 84$

Finally, divide both sides by four in order to isolate the variable.

$\frac{4X}{4} = \frac{84}{4}$

X = 21.

5 0

3 years ago

Round 6-6/7 to the nearest whole number

almond37 [142]

Answer:

Step-by-step explanation:

6-6/7

using pemdas it's:

6/7= 0.857

6-0.857=5.143

5.143 to the nearest whole number is 5

6 0

3 years ago

an electrician can wire on average 4.5 houses in a week.how many months will it take her to wire 55 houses if she wires the same

Roman55 [17]

If you know how to divide by decimal you have to divide 55 ÷ 4.5 and you would get 12 but if you don't know keep multipling a number times 4.5 but overall if you don't want to do all the work the answer is going to be (55×4.5=12 or 4.5×12=55— 12 houses)

6 0

3 years ago