Simplify. 1/4+4(1/2−3/4)^2 Enter your answer in the box.

Answers

Answer 1

The Simplest form is [tex] \frac{1}{2}[/tex]

[tex] \frac{1}{4} +4(\frac{1}{2} - \frac{3}{4})^{2}[/tex] PEMDAS

[tex] \frac{1}{4}+4(-\frac{1}{4})^{2}[/tex] Subtract inside parenthesis [tex] \frac{1}{2} - \frac{3}{4} =- \frac{1}{4}[/tex]

[tex] \frac{1}{4}+4( \frac{1}{16})[/tex] Square [tex]- \frac{1}{4}[/tex]

[tex] \frac{1}{4} + \frac{1}{4} [/tex] Multiply 4 and [tex] \frac{1}{16}[/tex]

[tex] \frac{1}{2}[/tex] Add [tex] \frac{1}{4} + \frac{1}{4} [/tex]

Answer 2

The Simplest form of the expression 1/4+4(1/2−3/4)^2 is 1/2

What are equivalent expressions?

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.

Using PEMDAS

1/4+4(1/2−3/4)^2

Subtract inside parenthesis

(1/2−3/4) = -1/4

Now, Square

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

1/4+4(1/16)

Then Multiply 4 and (1/16)

1/4+(1/4)

Now Adding;

2/4 = 1/2

Hence, The Simplest form of the expression 1/4+4(1/2−3/4)^2 is 1/2

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Related Questions

Drinks at the fair cost 2.50$ use an equation to represent the relationship between the numbers of drinks bought ad the cost define your variable and make a table to help write the equation

Answers

C=5/2*d where c-cost. d-drink

Answer:

[tex]C=2.5d[/tex]

Step-by-step explanation:

Your variable is always the number of drinks that you are going to drink, and the independent clause is the cost of the drink, which is $2.5.

Drinks Cost

1 2.5

2 5

3 7.5

4 10

5 12.5

SO now you know that the cos of 3 drinks is 7.5 and that can be escalated to any number that you want just by puttin the number of drinks that are going to be bought and multiply it by the cost.

NEED HELP ASAP 30 POINTS WILL BE GIVEN TO BRAINLIEST
The coordinates of the vertices of △GHJ are G(−1, 3), H(1, 2), and J(−3, −1)
Drag and drop the choices into each box to correctly complete the sentences

been trying to solve this but just don't get it I keep getting it wrong on my homework

Answers

we know that

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

we have

[tex]G(-1,3)\ H(1,2)\ J(-3,-1)[/tex]

Step 1

Find the slope GH

[tex]G(-1,3)\ H(1,2)[/tex]

substitute in the formula

[tex]m=\frac{2-3}{1+1}[/tex]

[tex]m=\frac{-1}{2}[/tex]

[tex]mGH=-\frac{1}{2}[/tex]

Step 2

Find the slope HJ

[tex]H(1,2)\ J(-3,-1)[/tex]

substitute in the formula

[tex]m=\frac{-1-2}{-3-1}[/tex]

[tex]m=\frac{-3}{-4}[/tex]

[tex]mHJ=\frac{3}{4}[/tex]

Step 3

Find the slope JG

[tex]J(-3,-1)\ G(-1,3)[/tex]

substitute in the formula

[tex]m=\frac{3+1}{-1+3}[/tex]

[tex]m=\frac{4}{2}[/tex]

[tex]mJG=2[/tex]

Step 4

Verify if triangle GHJ is a right triangle

we know that

if two lines are perpendicular, then the product of their slopes is equal to minus one

[tex]m1*m2=-1[/tex]

compare slope GH with slope JG

we have

[tex]mGH=-\frac{1}{2}[/tex]

[tex]mJG=2[/tex]

[tex]-\frac{1}{2}*2=-1[/tex] -----> side GH and side JG are perpendicular

The triangle GHJ is a right triangle

The answer in the attached figure

Answer:

- 1/2, 3/4, 2, is, two of these slopes have a product of -1

Step-by-step explanation:

The difference of two numbers is 16 and the sum of their squares is 130. What are the numbers.

Answers

x - y = 16
x^2 + x^2 = 130

----------------
x^2 - y^2 = 256
+(x^2 + y^2 = 130)
2x^2 = 386
x^2 = 193
x = 13.892 (3DP)
----
x - y = 16
13.892 - y = 16
-y = 2.108
y = -2.108
The numbers are: 13.892 and -2.108

How is volume calculated given mass and density?

Sum of mass and density
Mass divided by density
Mass multiplied by density
Difference of mass and density

Answers

Answer:

Step-by-step explanation:

when trying to calculate the volume when being given the M or the mass, and the D or density, hears is the calculations needed for that: P=M/V, which also means volume is the mass divided by the volume, or density. Hence, the answer would be mass divided by density. hope this helps!!! (also, please give me brainliest.)

Volume is calculated given mass and density is Mass divided by density.

What is volume?

Volume is a measure of occupied three-dimensional space. It is often quantified numerically using SI derived units (such as the cubic meter and liter) or by various imperial units (such as the gallon, quart, cubic inch).

Mass is the quantity of matter in a physical body. It is also a measure of the body's inertia, the resistance to acceleration (change of velocity) when a net force is applied.

Density is defined as a measure of how compact the mass in a substance or object is.

Since, density of a substance is measure as the ratio of its mass to its volume,

Density = Mass/Volume

or, Density x volume = mass

or, Volume = Mass/Density

Hence,Volume is calculated given mass and density is Mass divided by density.

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15 POINTS NEED ANSWER ASAP!! WILL GIVE BRAINLIEST TO FIRST ANSWER

Which mass is greatest? a. 179,000 mg c. 75 g b. 0.043 kg d. 23,481 cg

Answers

179,000 mg = 0.179 kg
75 g = 0.075 kg
23,481 cg = 0.23481 kg
and 0.043 kg

so 23,481 cg has greatest mass

answer
d. 23,481 cg

Find the value of k
given that the line through (−1, k)
and (−7,−2)
is parallel to the line y = x+1
.

Answers

The slope of the line given is 1 because that is the coefficient in front of x. A slope is found by dividing the change in y by the change in x. Knowing this, we can set up an equation with the points given.

1 = (-2 - k)/(-7 +1)

Now we'll solve to find k.
Firstly we'll multiple both sides by (-7 + 1):

1(-7 + 1) = (-2 - k)/(-7 +1)(-7 + 1)
-7 = -2 - k

Now we'll add 2 to both sides:
-7 + 2 = -2 - k + 2
-5 = -k

Now to get k by itself we must divide by negative one on both sides:
-5/(-1) = -k/(-1)
5 = k

Your answer is 5 = k

Final answer:

Given two lines are parallel, their slopes are equal. After calculating the slopes of the two lines and solving the equation, we find that the value of 'k' in the question is 4.

Explanation:

In the realm of Mathematics, when two lines are parallel, their slopes are equal. The line y = x + 1 has a slope of 1. To find the slope of the line through (−7,−2) and (−1, k), use the formula for slope, which is m = (y2 - y1) / (x2 - x1). Here, (x1,y1) is (−7,−2) and (x2,y2) is (−1, k). Hence, the equation for slope would look like this: m = (k - (-2)) / (-1 - (-7)).

As the slopes are equal, we can form an equation 1 = (k + 2) / 6. Solving this equation will give us the value of k. By multiplying both sides by 6, we obtain 6 = k + 2. Consequently, subtracting 2 from both sides, we get k = 4.

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10 1/2 - 5 2/3 pleaseee

Answers

10 1/2 - 5 2/3 =
21/2 - 17/3 =
63/6 - 34/6 =
29/6 or 4 5/6 <==

First you convert both of the fractions into improper fractions:
10 1/2 = 21/2
5 2/3 = 17/3

Then you times the fractions by the other fractions denominator:
(21*3)/(2*3)= 63/6
(17*2)/(3*2)=34/6

The you can take the numerators away from eachother and place them over the denominator:
(64-34)/6 = 29/6

Then you take out as many 6's as possible from the 29 and you have that number before the fraction and the remainder as the numerator:
4 5/6

Hope this helps! :)

An airplane flies at a constant speed. It can travel a distance (
d. of 1,800 kilometer in 2 hours(t) Write an equation in the form is d=rt that represents the relationship between distance (
d. and time (t), where r is the constant of proportionality

Answers

I will be right back to help

Strawberry chews cost $0.03 more than lollipops. Sarah pays $0.54 for 2 strawberry chews and 4 lollipops. What is the price of a strawberry chew?

Answers

We will use this system of equations to solve this:

l = lollipop
s = strawberry chew

[tex] \left \{ {{4l + 2s = 0.54} \atop {s = l + 0.03}} \right. [/tex]

So first of all, let me explain these equations.

4l + 2s = 0.54 means that 4 lollipops and 2 strawberry chews cost $0.54
s = l + 0.03 means a lollipop plus 0.03 equals the cost of a strawberry chew.

Now, let's solve for s.

4l + 2s = 0.54
Subtract 4l from boths sides.
2s = 0.54 - 4l
Divide by 2 on both sides.
s = -2l + 0.27

Substitute.

-2l + 0.27 = l + 0.03
Subtract l from both sides.
-3l + 0.27 = 0.03
Subtract 0.27 from both sides.
-3l = -0.24
Divide by -3 on both sides.
l = .08

.08 + .03 = .11

A strawberry chew costs $0.11

Write an equation of the line in slope-intercept form that crosses the y-axis at 3 and increases at a rate of 1?

y = x - 3
y = x + 3
y = -x + 3
y = 3x + 1

Answers

increases at a rate of 1....so ur slope is 1
crosses the y axis at 3...so ur y intercept is 3

in slope intercept form, y = mx + b, the slope will be in the m position and the y intercept will be in the b position

y = mx + b
slope(m) = 1
y int (b) = 3
sub
y = 1x + 3...which can be written as y = x + 3 <=

Write an equivalent expression using the multiplicative identity property

Answers

A possible answer could be 1x9= 9 which is itself.

For an expression equivalent to, let's say, -8, you could do: -2 + -6.

What is 65.6 divided by 8

Answers

The correct answer is 8.2

The answer is 8.2 i hope it helped and good luck

Can someone please please help me.

Answers

Cd || gh #2 is given look at the bottom of the paper

Check out the attached image for the answers all on one sheet.

------------------------------------------------------------------------------

Label each row 1, 2, ..., all the way up to row 7. I'll refer to each statement and reason by the row number. For example, in row 2 we have "statement 2" and "reason 2". Statement 2 is already filled in for us while Reason 2 is blank.

Statement 1 has "CD perpendicular to AE". This is given to us to be true as shown in the "given" portion at the very top of the problem (just under the diagram).

What's also given to us is the fact that "line segment CD is parallel to line segment GH". So we'll write "given" for reason 2.

------------------------------------------------------------------------------

Next up is reason 3, which is "definition of perpendicular". Why is this? Because the statement "angle ABD is a right angle" means angle ABD is 90 degrees. The term "perpendicular" means two lines or line segments or rays cross/meet at a 90 degree angle.

Now onto reason 5. Note how angle ABD and angle GEF are alternate exterior angles. They are outside of the train tracks (CD and GH) and lay on alternate sides of the line FA. Since CD is parallel to GH (see line 2), this means the alternate exterior angles are congruent. For reason 5, we'll put "alternate exterior angles theorem"

------------------------------------------------------------------------------

Statement 7 is the the thing we want to prove. For any proof, the last statement is ALWAYS what you want to prove. If there's anything after this statement then we still have work to do and the proof isn't done. This is the last stop so to speak. So we simply write exactly what we want to prove (next to the "prove:" portion just below the diagram)

Reason 7 is "definition of perpendicular" because GEF is a right angle so GH is perpendicular to line FA. Like with reason 3, a 90 degree angle forms.

------------------------------------------------------------------------------

Once again, check out the attached image to see all of the answers in the right spots.

PLEASE ANSWER ASAPPPPPPPPPPPPPPPPPP

Share the advantages and disadvantages of the different methods for solving quadratic equations that you have learned. Share special techniques that you have developed along the way. For example, explain to your classmates your technique for remembering the quadratic formula (song, rhyme, rhythm, etc.) to help others remember it as well.

Answers

Factoring

The factors of a quadratic equation will be (qx + r) and (sx+t). If the solutions are all integers, you may be able to quickly find q, r, s and t. The advantage of this method is that factoring can be very fast. The disadvantage is that factoring may not work; for instance, factoring will not find solutions that are not integers.

Completing the Square

Completing the square is a multistep process. The main idea is to convert the original equation into one of the form (x + a)^2 = b, where a and b are constants. The advantage of this method are that it always works and that completing the square gives some insight into how algebra works more generally. The disadvantage is that this method is complex.

Quadratic Formula

The quadratic formula is x = (-b +- (b*2 - 4ac)^.5))/2a. The advantages of this method are that the quadratic formula always works and is straightforward. The disadvantages are that the formula provides no insight and can become a rote technique.

Guessing

Sometimes, you can guess an approximate solution. Then, you can increase or decrease your guess, depending on whether the result from your first guess is too big or too small. The advantages of this method are that guessing can be very fast if you guess right, and can get an approximate answer quickly, if that is all you need. The disadvantage is that sometimes you won't be able to make a good guess .

A computer is programmed to scan the digits of the counting numbers. For example, if it scans
1 2 3 4 5 6 7 8 9 10 11 12 13
then it scanned 17 digits altogether. If the computer begins it's task and scans the first 1392 digits starting with 1, what is the last counting number scanned?

Answers

Number of 1-digit numbers scanned (i.e. 1 - 9) = 9 digits

Number of 2-digits numbers scanned (i.e. 10 - 99) = 2 x 90 = 180 digits

Let the number of 3-digits numbers scanned be x (i.e. 100 - y), then 3 x (y - 99) = (1392 - 180 - 9)
3y - 297 = 1203
3y = 1203 + 297 = 1500
y = 1500 / 3 = 500

Therefore, the last counting number scanned is 500.

How do I work out 5x+2+3x

Answers

5x + 2 + 3x

add same types of numbers

5x + 3x + 2

8x + 2

find x

8x + 2 = 0
8x + 2 (-2) = 0 (-2)
8x = -2
8x/8 = -2/8

x = -1/4

hope this helps

5x + 3x = 8x

8x + 2

FINAL ANSWER: 8x + 2

You would add 5x and 3x because they are like terms. The 2 is just a regular number, it doesn’t have a variable along with it.

The standard error of the mean is calculated using which two quantities:

Answers

If a random variable has a standard deviation of σ and a sample of size n is collected for the variable, then the mean has a standard error given by σ/√n. So the standard error of the mean is calculated using the two quantities: standard deviation σ and the sample size n.

Please help me with both questions thank you.

Answers

The First question would be, Transitive Property.

if RS = ST and ST = TU, then RS = TU
this is the transitive property which states : if a = b, and b = c, then a = c
==================
there is a pattern....light, medium, dark, light, medium, dark....etc
so the 10th item is : the lightest triangle...1st answer choice

(-11/2x+3)-2(-11/4x-5/2)=expression in simplest form needed!!

Answers

(-11/2x+3)-2(-11/4x-5/2)
= -11/2x + 3 + 11/2x + 5
= 8

answer
8

The given expression in its simplest form is 8.

The given expression is (-11x/2+3)-2(-11x/4-5/2).

We need to write the given expression in the simplest form.

What is an expression in its simplest form?

A simplified expression is one in which each base is written only once, there are no negative exponents and no parentheses. Simplifying an expression makes it easier to solve complex problems, and using the rules for exponents makes simplifying expressions easier.

Now, the given expression can be simplified as follows:

(-11x/2+3)-2(-11x/4-5/2)

=-11x/2+3+22x/4+10/2

=-11x/2+22x/4+3+5

=-22x/4+22x/4+8

Therefore, the given expression in its simplest form is 8.

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Sweet T purchased a new pair of pants to wear to the battle of the bands on sale at 40 % off . He saved $20 . What was the regular price of the jeans ?

Answers

Hey there!

The answer is $50 because $20 is 40%, so times that by 2 which you get $20 and 80%. Then you divide 20 by 2 then you get 10 which is 20% so you add 10 and you get $50 which is 100%

33 is 75% of what number?

Answers

33 is 75% of what number...

33 = 0.75x
33 / 0.75 = x
44 = x <== so 33 is 75% of 44

Write an expression that is equivalent to 3/5 (3y+15)
3/5y +9, 3/5y+15, 9/5y+9, 9/5y + 15?

Answers

Given the expression

[tex] \frac{3}{5} (3y+15)[/tex]

The expression that is equivalent to the given expression is given by:

[tex]\frac{3}{5} (3y+15)= \frac{9}{5} y+ \frac{3}{5} (15)= \frac{9}{5} y+9[/tex]

I have a Brainliest for math

Answers

The answer is D. 280.50
Hoped this helped
Feel free to ask anymore questions here at brainly.com

Just find ten percent of 3298.

3298 * .10 = 329.8

Hope this helps. (:

Solve the inequality
-8x - 10 > 7x + 20

A.) x < - 30
B.) x > - 2
C.) x > - 30
D.) x < - 2

Answers

Final answer:

To solve the inequality -8x - 10 > 7x + 20, combine like terms, isolate the variable term, and solve for x. The correct answer is D) x < -2.

Explanation:

We need to solve the inequality -8x - 10 > 7x + 20.

First, let's combine like terms by adding 8x to both sides. This gives us -10 > 15x + 20. Next, subtract 20 from both sides to isolate the variable term. This gives us -30 > 15x. Finally, divide both sides by 15 to solve for x. This gives us x < -2.

Therefore, option D.) x < -2 is the correct answer.

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Which phrase best describes a rock? A. a chemical arranged in a lattice B. a gabbro of minerals C. a mixture of crystals D. a fire-formed crystal

Answers

A gabbro of minerals.

Extra points! Write the equation for the vertical line that contains point E(10, –3).

A) y=(3/10)x-3
B) x=10
C) Other (please write the equation)

Answers

Your answer would be B, x = 10. This is because that equation would produce a vertical line (up and down) that crosses every Y value at 10 on the X axis. If you're still confused, this is what the graph would look like.

A line with a slope of 2 passes through (3,9). Which choice is an equation of this line?

Answers

the equation is y=2x+3

Answer:

y - 9 = 22(x - 3)

Step-by-step explanation:

The area of a garden is 12.9 square feet. Each square foot of the garden needs to have 2.6 pounds of soil.How many pounds of soil are needed for the garden?

Answers

2.6 pound of soil for each square foot,
so,for 12.9 square
2.6x12.9=33.54 pound of soils

need help.... what is half of 1 3/4 IN A FRACTION plzzzzz

Answers

well 1 3/4 as improper fraction is 7/4 so 7/4 / 1/2
7/4 x 2/1 is 14/4 or 3 1/2

first add 1 (= 4/4) to 3/4 which equals 7/4, now to get half of 7/4 you make it easier by changing it to 14/8 (= 7/4)

now half of 14/8 is easy

Kim learned in her science class that every 2 minutes she spends in the shower, she uses 17 gallons of water. This rate is constant

Answers

the ratio should be 2 /17

The rate of using water per minute will be 8.5 gallons per minute.

What is the rate of flow?

The rate of flow of water is defined as the amount of water or any liquid flowing in a unit of time. If the gallons of water are flowing in some minutes the rate will be measured in the gallons of water.

Given that Kim learned in her science class that every 2 minutes she spends in the shower, she uses 17 gallons of water.

The rate of flow of water will be calculated as:-

Rate of flow = Volume of water / Time

Rate of flow = 17 / 2

Rate of flow = 8.5 gallons per minute

Therefore, the rate of using water per minute will be 8.5 gallons per minute.

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Each morning librarians place 560 books on a book shelf in the school library. Each student that visits library that day takes exactly 3 books from this shelf. Let s be the number of students which visit library on a particular day. Let b be the number of books left on the shelf at the end of that day. a How does the number of books left on the shelf depend on number of students visiting library? Find formula for the function b(s). What is one sentence starter you can use to make sure you include evidence from the text in your written response? Name a modern day gothic novel and explain how it continues in the gothic tradition Why did the united states experience greater prosperity than europe after the great war? Dimitri deposited 60% of his paycheck into a savings account be deposited $41.67 what was the total of his check nosotros no _______ alumnos en la misma escuela (ser) Find 0.001 more than 18.852. Which of the following is a subsystem of computers providing access to the Internet and offering multimedia and linking capabilities What is an ethnic group What do you predict will happen in two weeks time to seedling (B)? The leaves will turn 180 degrees, and the stem will curl 90 degrees downwards. The stem will turn 90 degrees downward, and the root will curl 90 degrees upwards. It will die because it is lying on its side. The root will turn 90 degrees downward, and the stem will curl 90 degrees upwards. how did the mariachi style music originate? A. indigenous tribes of Mexico B. the criollos of the 19th century C. from a festival in honor of a virgin known as Maria H D. its origins are uncertain D. what is the cost for the 3% highest domestic airfares? (rounded to nearest dollar) A checkers board is 8 squares long and 8 squares wide. The area of each square is 14 square centimeters. Estimate the perimeter of the checkers board to the nearest tenth of a centimeter. Write a chemical equation that describes the dissolving of solid magnesium nitrate, Mg(NO3)2, in water. what did the narrator describe as tadpoles?what did Leeuwenhoek predict was within the heads of these little tadpoles? A compound with the empirical formula SiH3 was found to have a molar mass of approximately 62 g. What is the molecular formula of the compound? Jade wants to buy a $200,000 term life insurance policy. She is 34 years old. Using the premium table, what is her annual premium for a 10 year policy? Which of these best defines the rate of photosynthesis?A- where photosynthesis happens.B- the speed of photosynthesis.C- when photosynthesis happens.D- endothermic the role of geography on the economy of the area in red in the years leading up to the Civil War? What percentage of africans perished during the infamous "middle passage" from africa to the new world? Steam Workshop Downloader