All categories

3 years ago

What is the simplified form of the following expression?

Mathematics

2 answers:

Alex3 years ago

8 0

Hey there!

$\bold{\frac{9+4^2}{5}}$
$\bold{4^2=4\times4=16}$
$\bold{\frac{9+16}{5}}$
$\bold{9+16=25}$
$\bold{\frac{25\div5=5}{5\div5=1}}$

$\bold{\frac{5}{1}=5}$
$\boxed{\boxed{\bold{Answer:A.5}}}\checkmark$

$\star$ Good luck on your assignment and enjoy your day $\star$

~ $\frak{LoveYourselfFirst:)}$

tigry1 [53]3 years ago

7 0

Hello there!

Answer:

$\boxed{A.=5}$

Step-by-step explanation:

PEMDAS

Order of operations

Parenthesis

Exponent

Multiply

Divide

Add

Subtract

Left/Right

First, you do exponent.

$4^2=4*4=16$

$\frac{9+16}{5}$

Add by the numerator.

$9+16=25$

$\frac{25}{5}=5$

$\boxed{5}$ , is the CORRECT/FINAL ANSWER!

Hope this helps you!

Have a nice day! :)

:D

-Charlie

Thanks!

You might be interested in

The area of a circle is 39.62cm2. Find the length of the radius rounded to 2 DP.

Shkiper50 [21]

Using the formula for area of a circle:

Area = pi x radius^2

Replace area with the given value:

39.62 = pi x radius^2

Divide both sides by pi

Radius^2 = 39.62/pi

Radius^2 = 12.62

Solve for radius by taking the square root of both sides

Radius = sqrt(12.62)

Radius = 3.55 cm

4 0

3 years ago

You want to solve 11% of what number is 22. Explain how you can solve that by using a proportion

Doss [256]

Write the first ratio as 11/100 and set it equal to 22/n.

since 11 x 2=22 you can multiply 100 x 2 and you'll get 200.

*Check*: 11% of 200=22

3 0

3 years ago

What this solving system of equations? x+y=-3 y=x^2+4x+1

Sedbober [7]

Answer:

Step-by-step explanation:

y = -x-3

y = x^2 + 4x + 1

x^2 + 4x + 1 = -x-3

x^2 + 5x + 4 = 0

Quadratic Formula

x = [-5±√(5²-4⋅1⋅4)]/[2⋅1] = [-5±√9]/2 = [-5±3]/2 = 1,-4

(x,y) = (1,-4) of(-4,1)

5 0

3 years ago

Read 2 more answers

Which is the longest? A. 2 km B. 25 m C. 2,500 cm D. 3,000 mm

Leona [35]

2km=2000m
25m=25m
2500cm=25m
3000mm=3m

Hence the longest is 2km=2000m

8 0

3 years ago

The following prices, in dollars, of 7.5-cubic-foot refrigerators were recorded from a random sample. 314 305 344 283 285 310 3

Mariana [72]

Answer:

$t=\frac{310.9-300}{\frac{31.09}{\sqrt{10}}}=1.109$

The degrees of freedom are given by:

$df=n-1=10-1=9$

And the p value would be given by:

$p_v =P(t_{9}>1.109)=0.148$

Since the p value is higher than the significance level of 0.05 we don't have enough evidence to conclude that the true mean is significantly higher than $300 because we FAIL to reject the null hypothesis.

Step-by-step explanation:

Information given

314 305 344 283 285 310 383 285 300 300

We can calculate the sample mean and deviation with the following formula:

$\bar X =\frac{\sum_{i=1}^n X_i}{n}$

$s =\sqrt{\frac{\sum_{i=1}^n (x_i -\bar X)^2}{n-1}}$

$\bar X=310.9$ represent the sample mean

$s=31.09$ represent the standard deviation for the sample

$n=10$ sample size

$\mu_o =300$ represent the value to test

$\alpha=0.05$ represent the significance level

t would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to verify if the true mean is greater than 300, the system of hypothesis would be:

Null hypothesis: $\mu \leq 300$

Alternative hypothesis: $\mu > 300$

The statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Replacing the info given we got:

$t=\frac{310.9-300}{\frac{31.09}{\sqrt{10}}}=1.109$

The degrees of freedom are given by:

$df=n-1=10-1=9$

And the p value would be given by:

$p_v =P(t_{9}>1.109)=0.148$

6 0

3 years ago