Use the order of operations to simplify the expression.

(5)^2 - (1/4)^2

Answers

Answer 1

[tex]5^2 - \left(\dfrac 14 \right)^2= 25 - \dfrac{1}{16} = \dfrac{400-1}{16} = \dfrac{399}{16}=24\dfrac{15}{16}[/tex]


Related Questions

what is the volume inside a cylinder 10ft radius 6 ft height

Answers

Answer:

1884.956ft³

Step-by-step explanation:

[tex]volume = \pi {r}^{2} h \\ = \pi \times {10ft}^{2} \times 6ft \\ = 600\pi {ft}^{3} \\ = 1884.956 {ft}^{3} [/tex]

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Answers

Answer:

Hi shelp >//<

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Answer:

Hi shelp >//<

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Step-by-step explanation:

enebe eeeHAHAHA

Complete the inequality.
(-9/8)/(-2 3/4) ? 3/22
>
<
=

Answers

Answer:

(-3/8)/(-2 3/4) = 3/22  

Step-by-step explanation:

Solve the following;

[tex]\frac{\left(-\frac{3}{8}\right)}{\left(-2\frac{3}{4}\right)}[/tex]

[tex]=\frac{\left(-\frac{3}{8}\right)}{\left(-\frac{11}{4}\right)}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}[/tex]

[tex]=\frac{\frac{3}{8}}{\frac{11}{4}}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}[/tex]

[tex]=\frac{3\cdot \:4}{8\cdot \:11}[/tex]

[tex]\frac{3}{22}[/tex]

Thus, [tex]\frac{\left(-\frac{3}{8}\right)}{\left(-2\frac{3}{4}\right)}[/tex] = [tex]\frac{3}{22}[/tex]

~Learn with lenvy~

How to write 12/4 as a whole number

Answers

Answer:

3

Step-by-step explanation:

12 Divided By 4 Is 3

And 3 Is A Whole Number

Your answer is 3

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

Need help please!

1.) m varies directly as a and b; m=10 when a=4 and b=7. Find m when a=11 and b=8.

2.) q varies jointly as x and y. Find q when x=2 and y=5, given that q=90 when x=3 and y=5.

3.) F varies jointly as x and y. If F=1 when x=1/2 and y=1/3, find F when x=2 and y=3.

4.) Let x be proportional to p and q^2, and inversely proportional to r^3. If x=9 when p=4, q=9, and r=3, find x if p=6, q=2, and r=5.

Answers

Answer:

4) v=kx^2/y^3

2= k(4^2)/(3^3)

2 =k16/27

k = 2(27/16) = 27/8

v = (27/8)(3^2)/(2^3 = (27/8)(9/8) = 243/64

v = 243/64 when x=3 and y=2

Step-by-step explanation:

here

F varies jointly as x and y and the value of x is 3 and y is 2.

We have given that,

1.) m varies directly as a and b  m=10 when a=4 and b=7. Find m when a=11 and b=8.

What is the formula?

v=kx^2/y^3

2= k(4^2)/(3^3)

2 =k(16/27)

k = 2(27/16)

k = 27/8

v = (27/8)(3^2)/(2^3)

= (27/8)(9/8)

= 243/64

v = 243/64 when x=3 and y=2.

Therefore we get the value of x is 3 and y is 2.

To learn more about the inverse value visit:

https://brainly.com/question/3831584

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Factor 2x2 + 7x + 10x + 35 by grouping.

Answers

Answer:

(x+5)(2x+7)

Step-by-step explanation:

x(2x+7) + 5(2x+7)

(x+5)(2x+7)

I hope this helps!!

1 Susie wants to make some hot cereal for breakfast. The directions say to use 3 cups
of water with 1 cup of cereal to make 4 servings. Susie only wants 1 serving.
a
How much cereal should she use?
b How much water should she use?

Answers

Using proportions to relate the amount of cups needed, it is found that she should use:

a) 0.25 cups of cereal.

b) 0.75 cups of water.

What is a proportion?

A proportion is a fraction of a total amount.

In this problem, for 4 servings, 3 cups of water and 1 cup of cereal is needed. One serving is one-fourth of the amount, hence:

Item a:

1/4 x 1 = 0.25 cups of cereal.

Item b:

1/4 x 3 = 3/4 = 0.75 cups of water.

More can be learned about proportions at https://brainly.com/question/24372153

Based on a survey, assume that 35% of consumers are comfortable having drones deliver their purchases. Suppose that we want to find the probability that when six consumers are randomly selected,
delivery by drones. Identify the values of n, ×, p, and q.

Answers

Answer:

Suppose that we want to find the probability that when six consumers are randomly selected, actually three of them are comfortable with delivery by drones.

Step-by-step explanation:   hopes this helps you!

5 divided by 62.55 need help asap due today and also i cant watch ads

Answers

the answer of 5/62.55 = 0.0799360512

What can be divided into 6 and 4 without leaving a remainder?

Answers

Answer:

6,12,18,24,30,36,42,48,54,60... All of the numbers in this list can be divided by 6 with no remainder.

A natural number that has at least one factor other than 1 and itself.

Hope it helps!!!Brainliest pls!!!

Show that 9.1 is not a solution of the equation n-6.4 = 2.61. Then find
the solution

Answers

Answer:

The solution is 9.01.

Step-by-step explanation:

To prove that 9.1 isn't the solution we have to plug 9.1 into the equation. By replacing n with 9.1 we get 2.7 which isn't equal to 2.61.

To find the solution we must add 6.4 to both sides of the equation.

This graph shows the amount of sugar and the total calories in 8 items on the
menu at a restaurant

Answers

Answer:

a: there are 30 calories additional grams of sugar for every additional calorie in a menu item

Step-by-step explanation:

Which phrase describes the algebraic expression 6x?
O the quotient of 6 and a number
O the difference of 6 and a number
O the product of 6 and a number
O the sum of 6 and a number

Answers

Answer:

The product of 6 and a number

Step-by-step explanation:

There isn't any "real" mathematics needed to find the answer, just common background knowledge:

6x = 6 times x,

and product is referencing multiplication

(Since quotient is for division, difference for subtraction, and sum for addition)

considering we need to represent an expression which uses multiplication in words, the correct answer is:

O the product of 6 and a number

Solve for x.
5x = 25
=
x = [?]
=

Answers

It's 25 because 25 divided by 5 is 5.

Stedents are decorating a banner to hang in the school way. The banner is 9 1/2 feet long and 2 1/2 feet wide . What is the area of the border the students are decorating?
3 4/5square feet
12 square foot
24 square feet
23 3/4square feet

Answers

Answer:

it would be 12 square feet human

Step-by-step explanation:

9 1/2+2 1/2=12 so 12 square feet

Please help! It's very confusing to me

Answers

Answer:

b. is the equation and 18 is the answer.

Step-by-step explanation:

the 9 plus b has to equal the 27

18 is the value of b.

Calculate the IQR given the box plot​

Answers

Answer:

10

Step-by-step explanation:

The Interquartile Range (IQR) is the difference between Q3 and Q1.

From the diagram we see that Q1 = 40, and Q3 = 50

IQR = Q3-Q1 = 50 - 40 = 10

What will be the angle A?​

Answers

Answer: 30 degrees

Step-by-step explanation:

Prove it Step by Step. Parallelogram Based Question. I will make Brainelist + 50 points ​

Answers

Answer:

(i) ABCD = ABEC

(ii) As BF || AC then BE || AC, so CE = AB.

As AB = DC, then DC = CE

(iii) ΔDGE ≠ ΔCFE so I assume there is a typing error in the question, as

ΔDGC = ΔCFE

As DC = CE (as proved in (i)), AC || BE and DG ⊥ AC and CF ⊥ BE then ΔDGC = ΔCFE

(iv)  As DG ⊥ AC and CF ⊥ BE,  and AC || BE, then DG || CF

(v)  As  AC || BE  then GF || DC.  As DG || CF (as proved in (iv)), then DGFC is a parallelogram.

What is the process of writing a number as a product of several factors

Answers

Answer:

Step-by-step explanation:

you need to write out all the numbers that contain the specific number in their times tables, for example. factors of 20 are 1, 20, 4, 5, and 2 because all these numbers have 20 in their times tables.

Brainliest if correct

Answers

Answer:

correct answer here

Step-by-step explanation:

Answer:the largest angle has a measure of _____degrees.

Answers

Answer:

depends mostly it'll b 180 degress

Step-by-step explanation:

tim drives at an average of 80km per hour for 3 hours 45 minutes. work out how many kilometres tim drives

Answers

Tim covered 21.333 kilometers

Kilometers, km covered is distance, d

d = speed / time

d = 80 / 3 hours 45 mins

Converting 45 mins to hours we have

1 hour = 60 minutes

? Hours = 45 minutes

? = 45 / 60 = 0.75

So time is 3.75 hours

d = 80 / 3.75

= 64 / 3

= 21.333km


hope it helps

Answer:

300 km

Step-by-step explanation:

Tim drives 80 km in 1 hour or 60 minutes

Tim drives in 1 minute = 80/60 km

so, tim drives in 3 hours 45 minutes ( 225 minutes)

[tex] \frac{80 \times 225}{60} [/tex]

= 300 km

Find the exact value or type
"undefined"
tan(-315)
[?]

Answers

Answer:

the exact value of tan(-315) is 1

Answer:

The tangent of -315 is opp/adj = 1/1 = 1

Step-by-step explanation:

The angle -315 is in the 1st quadrant, in which we see a 45-45-90 triangle.  Thus, this triangle has 'opposite side' = 1, 'adjacent side' = 1, and hypotenuse √2.  The tangent of -315 is thus opp/adj = 1/1 = 1

Who is the father of maths???​

Answers

Answer: Archimedes

Step-by-step explanation:

Archimedes was considered the father of mathematics, simply because he made profound advancements in both science and math. His title is purely a nickname, and not because he actually created math.

Answer:

Archimedes is known as the Father Of Mathematics

Step-by-step explanation:

How many 12 hours periods (half days) will pass after 25 hours? Enter only the whole number of period that have passed?

Answers

Answer:

2

Step-by-step explanation:

12 + 12 = 24

Katie ate dinner at a restaurant. The bill came to $77. If she left an 18% tip, how much was the tip?


Can someone pls help me?​

Answers

Answer:

$13.86

Step-by-step explanation:

Just multiply 77 by 18 percent as a decimal (.18) to get the answer, which is $13.86

Hopefully this helps- let me know if you have any questions!

An envelope is 8 centimeters wide, and it measures 17 centimeters along the diagonal. How tall is the envelope? centimeters​

Answers

Answer:

15cm

Step-by-step explanation:

√289-64√22515cm

© the envelope is 15cm rall.

Answer:

15cm

Step-by-step explanation:

√289-64

√225

15cm

If cosθ=2/3 find cscθ using identities. This is in quad. 1.

Answers

Step-by-step explanation:

cos θ = 2/3

[tex] \quad \twoheadrightarrow\sf {cos \; \theta = \dfrac{Base}{Hypotenuse} } \\ [/tex]

Hence, base = 2 units and hypotenuse = 3 units.

[tex] \quad \twoheadrightarrow\sf { H^2 = B^2 + P^2} \\ [/tex]

[tex] \quad \twoheadrightarrow\sf { P^2 = H^2 - B^2} \\ [/tex]

[tex] \quad \twoheadrightarrow\sf { P^2 = (3)^2 - (2)^2} \\ [/tex]

[tex] \quad \twoheadrightarrow\sf { P^2 = 9- 4} \\ [/tex]

[tex] \quad \twoheadrightarrow\bf { P = \sqrt{5}} \\ [/tex]

Now, we know that :

[tex] \quad \twoheadrightarrow\sf {cosec \; \theta = \dfrac{Hypotenuse}{Perpendicular} } \\ [/tex]

[tex] \quad \twoheadrightarrow\bf{cosec \; \theta = \dfrac{3}{\sqrt{5}} } \\ [/tex]

Therefore, the required answer is 3/5.

ach of the
7
cats in a pet store was weighed. Here are their weights (in pounds).
5, 9, 9, 16, 12, 15, 6
Find the median and mean weights of these cats.
If necessary, round your answers to the nearest tenth.

Answers

Answer: 10.3, 9

Step-by-step explanation:

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