6 on the sq rt 5 - 4 on the sq rt 7
To simplify the given expression, substitute the values of each square root and simplify the expression to get the final result of 1.416.
To simplify the given expression:
3 times the square root of 5 - 2 times the square root of 7 + the square root of 45 - the square root of 28
We can simplify each square root separately:
√5 = 2.236 (approx.)
√7 = 2.646 (approx.)
√45 = 6.708 (approx.)
√28 = 5.292 (approx.)
Substituting these values in the expression:
3(2.236) - 2(2.646) + 6.708 - 5.292
This simplifies to:
6.708 - 5.292 = 1.416
Therefore, the simplified expression is 1.416.
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Simplify using the order of operations.
4(52 – 10)
90
4
0
60
Answer:
168 which is not listed
Step-by-step explanation:
Do what is inside the brackets first. Subtract the two terms
52 - 10 = 42
Now multiply by 4
42 * 4 = 168 which is none of your answers. There must be more to the problem.
Of the 60 students in the drama club, 36 take mathematics, 27 take physics and 20 students take both mathematics and physics. How many drama club students take neither mathematics nor physics?
20 pts. Graph f(x)=3/4x+2. Use the line tool and select two points to graph the line.
The graph of the line is obtained as the straight line passes through (-2.667,0) and (0,2).
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
A linear equation has the form y = mx + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0.
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that, the equation of the line is f(x)=3/4x+2.
We have to draw the graph using the two points. The point through which the line passes.
The slope of the given line is -3/4 and having an intercept of 2.
Thus, the graph of the line is obtained as the straight line passes through (-2.667,0) and (0,2).
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To graph the line y = (3/4)x + 2, choose two points and connect them by drawing a straight line.
Explanation:To graph the line y = (3/4)x + 2, we can select two points and connect them. Let's choose the points (0, 2) and (4, 5). Substitute the x-values into the equation to find the corresponding y-values:
When x = 0, y = (3/4)(0) + 2 = 2When x = 4, y = (3/4)(4) + 2 = 5Plot these two points on the graph and draw a straight line passing through them. Label the graph with f(x) and x.
The equation of p = 3s represents the perimeter, "p" of an equilateral triangle with side length "s". Is there a proportional relationship between the perimeter and the side length of an equilateral triangle? Explain please.
Yes, there is.
Two variable are in a proportional relationship if one is a multiple of other, i.e. if their ratio is constant.
In fact, two equivalent ways of saying that x and y are in a proportional relationship are saying that there exists a number k such that
[tex] y = kx\quad\text{or}\quad \dfrac{y}{x}=k [/tex]
In this case, you can see that the perimeter is always three times the side, which makes sense, because the perimeter of an equilateral triangle is composed of three "copies" of the side of the triangle.
So, the perimeter is a multiple of the side (with k=3), and in fact you have
[tex] p = 3s \iff \dfrac{p}{s} = 3 [/tex]
which are the two equivalent ways of saying that p and s are in a proportional relationship.
Yes, there is a proportional relationship between the perimeter and the side length of an equilateral triangle as indicated by the equation p = 3s. If you double the side length, the perimeter also doubles.
Explanation:Yes, there is a proportional relationship between the perimeter and the side length of an equilateral triangle. This can be observed from the equation p = 3s, which indicates that the perimeter is always three times the length of each side. In terms of proportionality, if you double the side length of the triangle (for instance), the perimeter also doubles. This is because the three sides of an equilateral triangle are of equal length, so any change in side length will cause a proportional change in the perimeter.
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Katlyn made 4 dresses with 7 yards of fabric. How much yards did she use on one dress
-3/4x < 12
-
13c < -169
-
5b-28 > 27
3x-7> 4x + 2
-
Solve each inequality for the variable. Show your work
2. Solve the following system. Show all your work. -3x + 2y + z = -6 x + 3y + 2z = 5 4x + 4y + 3z = 13 Is there a step I'm skipping because every time I add the first 2 equations, I keep getting -2x + 5y + 3z with no variables eliminated.
-3x + 2y + z = -6
(3)x + 3y + 2z = 5(3) We want to get rid of any variable within 2 equations. The easiest one would be by multiplying both sides of eq#2 by 3 and add it to eq#1.
-3x+2y+z=-6
3x+9y+6z=15
Add them together to get 11y+7z=9
(-4)x+3y+2z=5(-4) Now,multiply the original eq#2 by -4 to cancel out x in the last equation
-4x-12y-8z=-20
4x + 4y + 3z = 13
add them together to get -8y-5z=-7
Now multiply the eq 11y+7z=9 by 5 and the equation -8y-5z=-7 by 7 to cancel out the z variable when we add them together.
Once we multiply them, we get
-56y-35z=-49
55y+35z=45
add them together to get -y=-4 and we know y=4
substitute y into any equation here that has y and any other 1 variable like -8y-5z=-7 and get z=-5
Finally, we know y=4 and z=-5, we can substitue that into any of the original eqs like -3x + 2y + z = -6 and we get x=-3
To check, just substitute these values into any of the equations above
What is the center of the circle shown below?
A. B
B. A
C. Y
D. AB
If you look at the circle, center is B. It's located right in the center of the circle.
Answer
A. B
The center of the circle in the given figure is B.
Option A is the correct answer.
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2πr.
The area of a circle is given as πr².
We have,
The given figure has:
AB = radius
Ay = chord
B is the center
Thus,
The center of the circle is B.
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Given the geometric sequence an = 2(−3)n − 1, which of the following values for n lies in the appropriate domain for n?
Think that the domain is n=1.
Answer:
n belongs to set of natural numbers
Step-by-step explanation:
Given the geometric sequence
[tex]a_n = 2(−3)^n − 1,[/tex]
Here an denotes the nh term.
Naturally, n cannot be 0 or negative.
Because the first term has n =1, and so on.
Domain for n is the set of all natural numbers
n = 1,2,3.....
Write two decimals that are equivalent to 8.1
Two decimals equivalent to 8.1 are 8.100 and 8.10. Zeroes added after the decimal do not change the value. 08.1 is also equivalent to 8.1 as a zero before the decimal does not alter the value.
Explanation:Two decimals equivalent to 8.1 could be represented as 8.100 and 8.10. The reason for this is that adding zeros at the end of a decimal does not change its value. So, 8.100, 8.10, and 8.1 all represent the same decimal value.
Similarly, we can place a zero before the decimal, then 08.1 would be equivalent to 8.1. Note that the zero that comes before the decimal point does not change the actual value of the number.
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PLEASE HELP ME!!!
Please help me find the measure of AEC, and please show all work. Thanks :)))
∠BEC ≅ ∠CED definition of angle bisector
∠BEC = ∠CED definition of congruency
∠AEB , ∠BEC, and ∠CED are supplementary
∠AEB + ∠BEC + ∠CED = 180 definition of supplementary angles
∠AEB + ∠CED + ∠CED = 180 substitution
11x - 12 + 4x + 1 + 4x + 1 = 180 substitution
19x - 10 = 180 simplified (added like terms)
19x = 190 addition property of equality
x = 10 division property of equality
*****************************************************************
∠AEB = 11x - 12
= 11(10) - 12
= 110 - 12
= 98
∠BEC = ∠CED = 4x + 1
= 4(10) + 1
= 40 + 1
= 41
********************************************************************
∠AEB + ∠BEC = ∠AEC segment addition property
98 + 41 = ∠AEC substitution
139 = ∠AEC simplified (added like terms)
Answer: 139°
An angle bisector divides an angle into two equal halves. The measure of angle AEC is: [tex]139^o[/tex]
Given that:
[tex]\angle AEB = 11x - 12[/tex]
[tex]\angle CED = 4x + 1[/tex]
Since ray BD bisects [tex]\angle BED[/tex], then:
[tex]\angle BEC = \angle CED[/tex]
This implies that:
[tex]\angle BEC = 4x + 1[/tex]
[tex]\angle AEC[/tex] is calculated as:
[tex]\angle AEC = \angle AEB + \angle BEC[/tex]
This gives:
[tex]\angle AEC = 11x - 12 + 4x + 1[/tex]
Collect like terms
[tex]\angle AEC = 11x + 4x- 12 + 1[/tex]
[tex]\angle AEC = 15x-11[/tex]
Next, we calculate the value of x as follows:
[tex]\angle AEB + \angle CED + \angle BEC = 180[/tex] --- angle on a straight line.
This gives:
[tex]11x - 12 + 4x + 1 + 4x + 1 = 180[/tex]
Collect like terms
[tex]11x + 4x + 4x = 180+12-1-1[/tex]
[tex]19x = 190[/tex]
Divide by 19
[tex]x = 10[/tex]
Substitute 10 for x in [tex]\angle AEC = 15x-11[/tex]
[tex]\angle AEC= 15 \times 10 - 11[/tex]
[tex]\angle AEC= 139^o[/tex]
Hence, the measure of [tex]\angle AEC[/tex] is [tex]139^o[/tex]
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What is 28.37 rounded to nearest whole number
The number after rounded to nearest whole number is,
⇒ 28
We have to given that,
To round the number 28.37 nearest whole number.
Since, Rounding numbers refers to changing a number's digits such that it approximates a value. The provided number is more simply represented by this value.
Here, Number is,
28.37
Since, 3 < 5
Hence, The number after rounded to nearest whole number is,
⇒ 28
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Bart and sam played a game in witch each player earns or loses points earned or lost.The player with the greatest score after two turns wins.Bart earned 123 and lost 180 points.Sam earned 185 points and lost 225 points.Use a problem-solving model to find which person won the game.Explain
you need a lot to explain
Express 15$ for 10 gallons as a unit rate
That would be $1.50 per Gallon
Write 6(x – 5)4 + 4(x – 5)2 + 6 = 0 in the form of a quadratic by using substitution.
A. 6u2 + 4u + 6 = 0, where u = x – 5
B. 6u2 + 4u + 6 = 0, where u = (x – 5)2
C. 6u4 + 4u + 6 = 0, where u = x – 5
D. 6u4 + 4u + 6 = 0, where u = (x – 5)2
We are given the equation:
[tex]6(x-5)^{4}+4(x-5)^{2}+6=0[/tex]..........(1)
Now we have to write it in quadratic form using substitution.
The general form of quadratic equation is given by:
[tex]ax^{2}+bx+c=0[/tex]
So let us say
[tex](x-5)^{2}=u[/tex].......(2)
Plugging the value of (x-5)² from equation (2) in (1),
[tex]6u^{2}+4u+6=0[/tex]
Answer : Option B. [tex]6u^{2}+4u+6=0[/tex]
Answer:
B
Step-by-step explanation:
Someone help me please? giving away 35 points and brainliest (only if right)
1.Complete the similarity statement for the two triangles shown
Enter your answer in the box Δ XBR~ Δ
Answer:
that guy deserves the brainliest so this is just so you can get it to him
Step-by-step explanation:
the expression 9/2÷3 is the same as
Answer:
4.5 ÷ 3
Step-by-step explanation:
9/3 = 4.5
therefore this is the same as the previous expression
Final answer:
The expression 9/2 / 3 is equivalent to 9/2 * 1/3, which simplifies to 9/6 or 1.5. This multiplication by the reciprocal ensures the equality of the operation.
Explanation:
The expression 9/2 / 3 can be understood in terms of multiplication and division. When we divide by a number, it is the same as multiplying by its reciprocal. In this case, dividing by 3 is the same as multiplying by 1/3. Hence, we can rewrite the expression as 9/2 * 1/3.
To calculate this, we multiply the numerators together and the denominators together:
(9*1) / (2*3) = 9 / 6 = 1.5, or 3/2 when written as a fraction.
Performing the same operation on both sides of the equals sign maintains the equality. So, if any fraction has the same number in the numerator and the denominator, that fraction is equal to 1.
PAGEANT is most similar in meaning to beauty, sovereign, gallant, show?
The term 'pageant' is most similar in meaning to 'show.' Both terms refer to public exhibits or performances intended to entertain.
Explanation:The word pageant is conceptually closest in meaning to the term 'show.' A pageant typically refers to a public entertainment consisting of a procession of people in elaborate, colorful costumes, or an outdoor performance of a historical scene. This coincides with the term 'show,' which generally signifies a public display or exhibition, especially when intended to entertain. Drawing from the research conducted by anthropologist Marcia Ochoa, we commonly see pageants in the context of beauty competitions, such as Miss Venezuela, or similar contests held by specific communities, such as transformistas in Venezuela. These events focus on the public presentation of candidates, much like a show.
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The word “pageant” is most similar in meaning to “show”.
The word “pageant” is derived from the Latin word "pagina," which means a play or stage. In modern usage, a pageant is a public entertainment consisting of a procession of people in elaborate, colorful costumes, or an outdoor performance of a historical scene. It’s essentially a type of show that is often grand and celebrates a special event or anniversary.
Beauty: This term often refers to a combination of qualities, such as shape, color, or form, that pleases the aesthetic senses, especially the sight. In the context of a beauty pageant, it’s a show that judges its contestants primarily on their physical appearance. However, the term “beauty” itself doesn’t convey the aspect of a show or performance that “pageant” does.
Sovereign: This term refers to a supreme ruler, especially a monarch. A sovereign might be a figure in a pageant, but the word “sovereign” itself refers to a position of power and rule, not a show or performance.
Gallant: This term is used to describe someone brave, heroic, or chivalrous. A person might behave gallantly in a pageant, but again, the word “gallant” itself doesn’t convey the meaning of a show or performance.
So, among the options provided, “pageant” is most similar in meaning to “show”, as both involve a public display or performance.
Anita began solving the system {x+y=8, x−y=2 by writing 2x=10 .
Which property justifies this step?
Division Property of Equality
Multiplication Property of Equality
Addition Property of Equality
Substitution Property of Equality
Anita began solving the system {x+y=8, x−y=2 by writing 2x=10 .
x+y=8
x−y=2
When we add both equations , we will get 2x = 10
x+x becomes 2x
+y -y becomes 0
8 + 2 becomes 10
So by adding two equations we got 2x = 10
Hence we say Addition Property of Equality.
Addition Property of Equality means adding both sides of equations.
x terms and y terms are added . then number are added on the right side
Answer:
Option C is correct
Addition property of Equality justifies the step.
Step-by-step explanation:
Given the system of equation: x+y = 8 and x-y = 2.
Addition Property of Equality: The method of solving systems of linear equations is the addition Property, in which the two equations are added together to eliminate one of the variables.
Adding the equations states that we add the left sides of the two equations together, and we add the right sides together.
Using the addition property in equation: x+y=8 and x-y =2
then,
[tex](x+y)+(x-y)=8+2[/tex] or
[tex](x+x)+(y-y)[/tex] =10
Eliminate the y- variable; we have
2x=10
Therefore, the only property justifies the step is, Addition Property of Equality.
William has eight more nickels than dimes in his pocket for a total of $2.50
there is a 1:8 ratio so there will be 40 nickels and 5 dimes
What is the answer > , <, or = -37/8______-4.63
Caden owns a popular retail website. The initial number of transactions that took place in the first hour of Monday was 10, and the number of transactions doubled every hour after the first hour. Which statement best describes the initial number of transactions in this situation? A. The initial number of transactions is a dependent variable. B. The initial number of transactions is neither an independent nor a dependent variable. C. The initial number of transactions is an independent variable. D. The initial number of transactions is both an independent and a dependent variable.
The initial number of transactions that took place in the first hour of Monday, which was 10, will not have any impact or bearing on the transactions for the rest of the day. Likewise, the initial number of transactions will not be affected by any other transactions or any other parameter. Thus, we can safely say that the initial number of transactions is neither an independent or a dependent variable.
Thus, out of the given options, Option C is the correct answer.
What is the result of dividing 2x^3+6x^2+6x+2 by x+1 ?
PLEASE HELP, WILL GIVE 5 RATING
2x² + 4x + 2
using long division to obtain the quotient
The result of dividing the polynomial 2x³ + 6x² + 6x + 2 by x + 1 is 2x² + 4x + 2, which can be obtained using synthetic division.
Explanation:The given question is about polynomial division. To divide a polynomial, we commonly use long division or synthetic division. In this case, we are dividing the polynomial 2x³ + 6x² + 6x + 2 by (x + 1).
Using synthetic division, we get:
First, write down the coefficients of the dividend polynomial (2, 6, 6, 2) and below them the divider (in this case, -1, because we have 'x + 1' and '-1' is the root of 'x + 1'). Copy down the leading coefficient (2 in this case) to the bottom line. Multiply it by the root identified earlier, and add it to the next coefficient (2*-1 = -2; 6 + -2 = 4). Repeat this process (4*-1 = -4; 6 + -4 = 2). At the end, you should see that the remainder is zero (2*-1 = -2; 2 + -2 = 0).
Therefore, the quotient is 2x² + 4x + 2.
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PLEASE HELP ME!!! GEOMETRY!
Please help me find the proofs that I would use in parts a and b.
a) substitution (refer to statements 1 and 2)
b) definition of supplementary
c) subtraction property of equality
-4x+3y=21, where x is time and y is velocity in kilometers per hour. Use this function to determine when a certain particle will reach 30km/hr.
HELP ME PLEASE!!!!!!!!!!!!!!!!!!!!
Which of these shows the result of using the first equation to substitute for y in the second equation, then combining like terms? y = 2x 2x + 3y = 16
A. 8x = 16
B. 4x = 16
C. 5x = 16
D. 5y = 16
By substituting y = 2x into the second equation and combining like terms, we get the equation 8x = 16.
Explanation:This question is from the field of Algebra. You are asked to substitute the first equation into the second equation, then simplify by combining like terms. Substituting y = 2x from the first equation into the second equation 2x + 3y = 16, we replace y with 2x, thus transforming the second equation into 2x + 3(2x) = 16. Distributing the 3 to the 2x within the parentheses gives us 2x + 6x = 16. By combining the like terms on the left side, we get 8x = 16 which is option A.
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The second-largest state in the us is texas, covering 268,580 square miles (including water). What is the approximate radius of a sphere with the same surface area as the area of texas?
The state of texas covers approxmiately 268,581 squared mi. During a hail storm the entire state is covered in 1billion meters of hail.(average radius of 1.4292cm)assume the hail falls so that the gaps of air are limited to 26% of the volume.
Answer:
the answer is C. 146 miles
2/3+y−1/9=7/9
Solve for Y
So the y would be hopefully that helps you ❤.
y = 2/9
2/3+y-1/9=7/9
=> 2/3+y=7/9+1/9
=> 6/9+y=8/9
So, y=2/9
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!
An on-line electronics store must sell at least $5000 worth of computers and printers per day. Each printer costs $350 and each computer costs $750. The store can ship a maximum of 20 items per day. Which system of inequalities models correctly the number of computers, c, and number printers, p, the store could sell per day?
D is the correct answer I think.
On tuesday gavin jogged 5 km. On wednesday, he jogged 6.2 km and on thursday he sprinted 50m how many meters did he travel in total during those three days