Divide. write in smplest form 12÷2 2/7

Solve for x<br> Write the smaller solution first, and the larger solution second.<br> -x^2-8=-33

kenny6666 [7]

Answer:

x = -5, 5

Step-by-step explanation:

-x^2-8=-33

Add 8 to each side

-x^2-8+8=-33+8

-x^2 = -25

Divide each side by -1

x^2 = 25

Take the square root of each side

sqrt(x^2) = ±sqrt(25)

x = ±5

8 0

3 years ago

Read 2 more answers

Anthony bought 3.4 pounds of Halloween candy that cost $6.95 a pound. How much money did he spend on candy?

ratelena [41]

Answer:

23.63

Step-by-step explanation:

3.4 x 6.95

8 0

2 years ago

Read 2 more answers

Please help me!

dybincka [34]

Answer:

They are only equal on day 0, both having 10 population.

Step-by-step explanation:

Given the bacteria on the counter is initially measured at 5 and doubles every 3 days we can generate the following geometric equation:

$f(x)=10*2^{\frac{x}{3} }$

Given the bacteria on the stove is measured at 10 and doubles every 4 days we can create another equation:

$f(x)=10*2^{\frac{x}{4} }$

To find how many days it will take for the bacteria population to equal the same lets set both equations equal to eachother:

$10*2^{x/3}=10*2^{x/4}$

Divide both sides by 10

$2^{x/3}=2^{x/4}$

Since both exponents have the same base we can set the exponents equal to eachother and solve for x:

$\frac{x}{3}=\frac{x}{4}$

Multiply both sides by 3 to isolate x on the left side

$x=\frac{3x}{4}$

Multiply both sides by 4 to remove fraction

$4x=3x$

Subtract 3x to isolate x on the left side

$x=0$

Plug x into one of our original equations

$f(0)=10*2^{0/3}$

Solve

$f(0)=10$

6 0

2 years ago

Sally invests £8000 in a savings account. The account pays 2.8% compound interest per year work out the value of her investment

Alborosie

Answer: the value of her investment after 4 years is £8934.3

Step-by-step explanation:

The formula for determining compound interest is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount invested.

t represents the duration of the investment in years.

From the information given,

P = 8000

r = 2.8% = 2.8/100 = 0.028

n = 1 because it was compounded once in a year.

t = 4 years

Therefore,

A = 8000(1+0.028/1)^1 × 4

A = 8000(1+0.028)^4

A = 8000(1.028)^4

A = £8934.3 to the the nearest penny

6 0

3 years ago

Eva is making a pattern using these shapes can you arrange Evas shapes to make a symmetrical pattern

ratelena [41]

Answer:

pyramid, cone, sphere, cube

Step-by-step explanation:

A symmetrical pattern is one that is arranged in such a way that there is a progressive repetition of a pattern. Each pattern formed is the same with respect to each other.

Eva could form series symmetrical patterns with the shapes he has, which depends on the arrangement of the shapes to form desired pattern.

One simple pattern to be formed is;

pyramid, cone, sphere, cube

pyramid, cone, sphere, cube.

Thus, this would generate four symmetrical continuous patterns.

pyramid, cone, sphere, cube : pyramid, cone, sphere, cube : pyramid, cone, sphere, cube : pyramid, cone, sphere, cube.

6 0

3 years ago