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2 years ago

8

Hoan 6 OF 10 QUESTIONS REMAINING Question 5 10 Points Pam needed to give her gardener the approximate square footage of her back

yard. With each step being about 2 feet, Pam steps it off and counts 20 steps long and 40 steps wide. About how many square feet is the backyard? A 400 square feet 8800 square feet C 120 square feet 3300 square feet D 3200 square feet

1 answer:

Colt1911 [192]2 years ago

5 0

Answer:

D. 3200 square feet

Step-by-step explanation:

(2)(20)*(2)(40)=3200

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Sladkaya [172]

Answer:

$\displaystyle A) 5\log( {x}^{} ) + 2 \log( {y}^{} )$

Step-by-step explanation:

we would like to expand the following logarithmic expression:

$\displaystyle \log( {x}^{5} {y}^{2} )$

remember the multiplication logarithmic indentity given by:

$\displaystyle \rm \log( \alpha \times \beta ) \iff \log( \alpha ) + \log( \beta )$

so our given expression should be

$\displaystyle \log( {x}^{5} ) + \log( {y}^{2} )$

by exponent logarithmic property we acquire:

$\displaystyle 5\log( {x}^{} ) + 2 \log( {y}^{} )$

hence, our answer is A

5 0

3 years ago

Solve 12^x^2+5x-4 = 12^2x+6

faust18 [17]

The solutions for ‘x’ are 2 and -5

<u>Step-by-step explanation:</u>

Given equation:

$12^{x^{2}+5 x-4}=12^{2 x+6}$

Since the base on both sides as ‘12’ are the same, we can write it as

$x^{2}+5 x-4=2 x+6$

$x^{2}+5 x-2 x-4-6=0$

$x^{2}+3 x-10=0$

Often, the value of x is easiest to solve by $a x^{2}+b x+c=0$ by factoring a square factor, setting each factor to zero, and then isolating each factor. Whereas sometimes the equation is too awkward or doesn't matter at all, or you just don't feel like factoring.

<u>The Quadratic Formula:</u> For $a x^{2}+b x+c=0$ , the values of x which are the solutions of the equation are given by:

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Where, a = 1, b = 3 and c = -10

$x=\frac{-3 \pm \sqrt{(-3)^{2}-4(1)(-10)}}{2(1)}$

$x=\frac{-3 \pm \sqrt{9+40}}{2}$

$x=\frac{-3 \pm \sqrt{49}}{2}=\frac{-3 \pm 7}{2}$

So, the solutions for ‘x’ are

$x=\frac{-3+7}{2}=\frac{4}{2}=2$

$x=\frac{-3-7}{2}=\frac{-10}{2}=-5$

The solutions for ‘x’ are 2 and -5

6 0

3 years ago

Read 2 more answers

Help!!<br> What is the relationship between the corresponding angle bisectors BD and XZ?

Harrizon [31]

Answer:

XZ = 2.5 BD

Step-by-step explanation:

Comparing the two triangles,

$\frac{BD}{BC}$ = $\frac{XZ}{XY}$

$\frac{6}{8}$ = $\frac{XZ}{20}$

⇒ XZ = $\frac{20*6}{8}$

= 15

XZ = 15

So that,

BD:XZ = 6:15

= 1:2.5

Therefore, the relationship between BD and XZ is XZ = 2.5 BD.

8 0

3 years ago

Please help! Algebra 1 math.

olya-2409 [2.1K]

A. The data in the table represent a function. y=x/2. This is seen as for every value of x in the table, y=x/2(half of it). You can show this further by trying this fact on each value.

B. For the original function, when x =8, y=x/2=4
For the function given in this part, when x=8, y=3(8)-10
y=24-10 y=14
This means the relation given in this part has a greater value when x=8

C. When x=80, f(x)=3(80)-10
=240-10
=230

4 0

3 years ago

A game shop sells marbles in clear plastic cylinders. Four marbles fit across the diameter of the cylinder and 10 marbles fit fr

slega [8]

To start, you know that this question is asking for the surface area of one of the cylinders, and the formula to finding the surface area of a cylinder is A=2πrh+2<span>πr^2.

Now, to find the surface area, you first need to figure out the height of the plastic cylinder and its radius.
Since you know that the diameter (twice the radius) of the cylinder is equivalent to 4 marbles, and each marble has a diameter of 2 cm, the diameter of the cylinder would be 8 cm. Then, to find its radius, you divide by 2, so its radius is 4.
Now, since you know that the height of the cylinder is 10 marbles, you multiply 10 by 2 to get that the height is 20 cm tall.
Since you now have the values of the height and the radius, plug the values into the surface area of a cylinder formula (r is radius and h is height).
</span>A=2π(4)(20)+2π(4)^2.
<span>Assuming that pi is 3.14, when you simplify this using PEMDAS, you get
502.4+100.48 which then simplifies to 602.88, the area of the plastic to make one cylinder.

</span>

5 0

3 years ago