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2 years ago

Write the following word phase as a mathematical equation. The sum of 7 and twice a number, squared.

Mathematics

1 answer:

agasfer [191]2 years ago

4 0

Answer:

$(7+(2n))^2$

You don't technically need the ( ) around the 2n, but I included them to avoid confusion.

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What is the 6th term of the geometric sequence 1024,528,256

zmey [24]

167 i believe according to my calculations

3 0

3 years ago

Jillian is trying to save water, so she reduces the size of her square grass lawn by 8 feet on each side the area of the smaller

horsena [70]

Answer: 20 feet by 20 feet.

Step-by-step explanation:

1. You know that $x$ is the original measure of one side. Since it is a square, all its sides are equal.

2. Therefore, to solve the problem you only need to solve for $x$ , as you can see below:

- You have that:

$(a-b)^{2}=a^{2}-2ab+b^{2}$

- Then, you obtain the following quadratic equation:

$(x-8)^{2} =144\\x^{2}-2(x)(8)+8^{2}=144\\x^{2}-16x-80=0$

- Apply the Quadratic formula to solve it:

$x=\frac{-b+/-\sqrt{b^{2}-4ac}}{2a}\\a=1\\b=-16\\c=-80$

- Then, you obtain:

$x_1=20\\x_2=-4$

3. The dimensions cannot be negative, therefore, the answer is: 20 feet by 20 feet.

3 0

3 years ago

Read 2 more answers

What is the value of x?<br><br> Please help! Thanks!

leonid [27]

Answer:

x=75

Step-by-step explanation:

We can use proportions to solve this problem. Put the side of the small triangle over the side of the large triangle.

42 50

------ = ----------

42+63 50+x

42 50

------ = ----------

105 50+x

Using cross products

42(50+x) = 50*(105)

2100+42x = 5250

Subtract 2100 from each side

2100-2100+42x = 5250-2100

42x =3150

Divide by 42

42x/42 = 3150/42

x = 75

8 0

3 years ago

What is the best approximation of 6% tax on a $102 purchase? A) $6 B) $12 C) $18 D) $24

larisa [96]

Here, On Approximation, Just consider $102 as $100

Then, 6% of 100 would be: $6

In short, Your Answer would be: Option A

Hope this helps!

6 0

2 years ago

Marissa is drawing coins from a bag that contains 5 pennies (yellow), 4 nickels (green), 5 dimes

Anna007 [38]

Answer:

$\frac{4}{16}=\frac{1}{4}=0.25=25\%$

Step-by-step explanation:

Total number of coins in the bag = 5 + 4 + 5 + 2 = 16 coins

Number of nickels in the bag = 4

We have to find the probability that Marissa draws a nickels from the bag.

Probability is defined as the ratio of Number of "Favorable Outcomes" to "Total number of possible outcomes"

In this case total number of possible outcomes is the total number of coins which is 16.

Favorable/Desires outcome is drawing a Nickle from the bag which are 4 in number. So, number of favorable outcomes is 4

Therefore, the probability that she will draw a nickel = $\frac{4}{16}=\frac{1}{4}=0.25=25\%$

7 0

2 years ago