Answer:
5
Step-by-step explanation:
So the square root of 21 is 4.582...
If you round 4.582.. it is 5
Because you look at the first number behind the decimal (tenths place) if it is 4-0 you leave the number the same. If it is 5-9 you increase the number by 1.
Hope this helps ya!!
How many solutions exist for the given equation? 3x 13 = 3(x 6) 1.
You are making a rectangular rug. You want the rug to be twice as long as it is wide. let w represent the width (in feet) of the rug
Answer: l=2w
Step-by-step explanation:
the length is twice the width
Graph y= 1/2x–3. (Ill mark brainliest)
Answer:
Step-by-step explanation:
Answer:
Slope is 1/2 and y intercept is -3 so it is a graph like this
HELPPP PLS
2 Line segment MN has a midpoint of (7, 3.5). Point N is located at (14,7). What are
the coordinates for point M?
Answer:
It would be (0,0)
Step-by-step explanation:
7-7=0 and 3.5-3.5=0
Callie has 3,264 beads. She wants to divide the beads evenly to make 32 necklaces. How many beads will be
used for each necklace?
Answer:
102 beads will be used for each necklace.
Step-by-step explanation:
3,264/32=102
7/6 simplified do not need explanation
Answer: 1 1/6
Step-by-step explanation:hope this helps !
Answer:
it would be
1 1/6
Step-by-step explanation:
Bonjour je suis entrain de faire la distributivité et je bloque sur ce calcul quelqu'un pourrait m'aider svp.
4x+[3-(7-x)]-[4x-(x-2)]
Merci
Answer:
Step-by-step explanation:
beaucoup pour votre aide !
Pour résoudre cette expression, nous allons appliquer la distributivité, c'est-à-dire multiplier chaque terme entre parenthèses par le nombre devant les parenthèses.
On commence par 4x + [3 - (7-x)], ce qui donne:
4x + (3 - 7 + x)
Ensuite, nous pouvons appliquer la distributivité à 4x-(x-2):
4x + (3 - 7 + x) - (4x - x + 2)
Enfin, nous pouvons réorganiser les termes pour simplifier l'expression:
4x + 3 - 7 + x - 4x + x - 2
En réarrangeant, nous obtenons:
-2 - 4 + 5x
Donc, l'expression complète est: -2 - 4 + 5x.
The sum of 3 consecutive odd numbers is 69. Find the numbers. solve the question in step-by-step
The question is related to an arithmetical sequence where common difference is 2.
(a-2) +a + (a+2) =3a=69
a=23
So three odds are
21 23 25
For each of the following relations, decide if it is reflexive, symmetric, and or transitive.
Prove your answers.
(a) Ri is the relation on R given by Ri = {(z,y) ERx R: |x-y <1}.
(b) Let A be a set with at least two elements. Let R be the relation on A given by
(c) Rs is the relation on Z given by R3 = {(z,y) ⬠Zà Z: xy > 0).
(d) R, is the relation on Z given by R, = {(2, y) ⬠Zx Z: 3|(à + 2y)}. (e) Rs is the relation on Z given by Rs = {(x,y) ⬠Zx Z: there exists k ⬠N such that
elyk and yak).
In this question, we were given five relations and asked to determine if they are reflexive, symmetric, and/or transitive.
(a) The relation Ri on R is reflexive, symmetric, and transitive.
(b) The relation R on A is not reflexive, not symmetric, and transitive.
(c) The relation Rs on Z is not reflexive, not symmetric, and transitive.
(d) The relation R, on Z is not reflexive, not symmetric, and not transitive.
(e) The relation Rs on Z is reflexive, not symmetric, and transitive.
What is reflexive relation?A reflexive connection is a relationship between items of a set A in which each element is related to itself. As the name implies, the image of each element of the set is its own reflection. In set theory, a reflexive relation is an essential concept.
(a) Ri is reflexive, symmetric, and transitive.
- Reflexive: For any x ∈ R, (x, x) ∈ Ri since |x - x| = 0 < 1.
- Symmetric: For any (x, y) ∈ Ri, we have |x - y| < 1, which implies |y - x| < 1. Therefore, (y, x) ∈ Ri.
- Transitive: For any (x, y), (y, z) ∈ Ri, we have |x - y| < 1 and |y - z| < 1. Adding these inequalities, we get |x - z| < 2, which implies (x, z) ∈ Ri.
(b) R is not reflexive, symmetric, or transitive.
- Not reflexive: For any x ∈ A, (x, x) ∉ R since x - x = 0 is not a positive integer.
- Not symmetric: For any distinct x, y ∈ A, if (x, y) ∈ R, then x - y = 1, which implies y - x = -1 is not a positive integer. Therefore, (y, x) ∉ R.
- Not transitive: Let A = {1, 2, 3} and R = {(1, 2), (2, 3)}. Then (1, 3) is not in R since 3 - 1 = 2 is not a positive integer.
(c) R3 is not reflexive, symmetric, or transitive.
- Not reflexive: For any x ∈ Z, (x, x) ∉ R3 since x * x = x^2 is not greater than 0.
- Symmetric: For any (x, y) ∈ R3, we have xy > 0, which implies yx > 0. Therefore, (y, x) ∈ R3.
- Not transitive: Let x = -1, y = 2, and z = -1. Then (x, y) ∈ R3 and (y, z) ∈ R3, but (x, z) = (-1, -1) ∉ R3 since xz = 1 is not greater than 0.
(d) R, is not reflexive, symmetric, or transitive.
- Not reflexive: For any y ∈ Z, (y, y) ∉ R, since 3 does not divide y + 2y = 3y.
- Not symmetric: For y = 1 and z = 2, we have (2, 1) ∉ R, but (1, 2) ∈ R since 3 divides 1 + 4 = 5.
- Not transitive: Let x = 2, y = 1, and z = 5. Then (x, y) ∈ R, (y, z) ∈ R, but (x, z) = (2, 5) ∉ R since 3 does not divide 2 + 10 = 12.
(e) Rs is the relation on Z given by Rs = {(x,y) ⬠Zx Z: there exists k ⬠N such that elyk and yak).
- Reflexive: This relation is not reflexive because (1, 1) ∉ Rs as there does not exist k such that 1 x k = 1.
- Symmetric: This relation is not symmetric because, for example, (1, 2) ∈ Rs but (2, 1) ∉ Rs since there does not exist k such that 2 x k = 1.
- Transitive: This relation is not transitive. For example, let x = 1, y = 2, and z = 4. Then (x, y) ∈ Rs and (y, z) ∈ Rs, but (x, z) ∉ Rs since there does not exist k such that 1 x k = 4.
In short, in this question, we were given five relations and asked to determine if they are reflexive, symmetric, and/or transitive.
(a) The relation Ri on R is reflexive, symmetric, and transitive.
(b) The relation R on A is not reflexive, not symmetric, and transitive.
(c) The relation Rs on Z is not reflexive, not symmetric, and transitive.
(d) The relation R, on Z is not reflexive, not symmetric, and not transitive.
(e) The relation Rs on Z is reflexive, not symmetric, and transitive.
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The weight of a body varies inversely as the square of its distance from the center of the earth. If the radius of the earth is 4000 miles, how much would a 200-pound man weigh 2000 miles above the surface of the earth rounded to the nearest pound? pounds
Answer:
3,500 + 750 = 4,250
Weight = (3,500 / 4,250)^2 * 180 = 0.678200692 * 180 =
122.08 pounds
Step-by-step explanation:
to find Use the limit definition of the derivative, f'(x) = limax-0 f(x+Ax)-f(a) the derivative of f (x) = 3x2 - x +1. AZ
After using the limit definition of the derivative, the answer comes as 6x.
The function is f(x) = 3x² - x + 1.
We have to find the derivative of the function using the limit definition of the derivative, f'(x) = limax-0 f( x+ Ax )-f(a).
So, we know that the limit definition of the derivative, f'(x) = limax-0 f(x+ Ax)-f(a) / Ax
By substituting the given values in the above formula, we get; f'(x) = lim Ax-0 {f(x + Ax) - f(x)} / Ax
Now, let us find the derivative of the given function.
Substitute the values in the above formula; f'(x) = lim Ax-0 {f(x + Ax) - f(x)} / Axf'(x) = lim Ax-0 {[3(x + Ax)² - (x + Ax) + 1] - [3x² - x + 1]} / Axf'(x) = lim Ax-0 {[3(x² + 2xAx + A²) - x - Ax + 1] - [3x² - x + 1]} / Axf'(x) = lim Ax-0 {[3x² + 6xAx + 3A² - x - Ax + 1] - [3x² - x + 1]} / Axf'(x) = lim Ax-0 {[6xAx + 3A²] / A}f'(x) = lim Ax-0 {6x + 3Ax}f'(x) = lim Ax-0 {6x} + lim Ax-0 {3Ax}f'(x) = 6x + 0f'(x) = 6xTherefore, the derivative of f(x) = 3x² - x + 1 is f'(x) = 6x.
Answer: f'(x) = 6x.
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what is 2 hours and 20 minutes as a fraction
Answer:
2333/1000 I believe
Step-by-step explanation:
a contractor hired 150 men to pave a road in 30 days. how many men will he hire to do the same work in 20 days
Answer:
225 men----------------------
Find the amount of work in man*days and then divide the result by 20:
150*30/20 = 225Hence the same work will be completed by 225 men.
What is the total purchase price if you buy a chain saw for $539.95 and 2 safety chaps for $69.95 each, with a sales tax of 5%
Answer: \(\$ 713.84\)
Step-by-step explanation:
Given
The price of a chainsaw is \(\$539.95\)
The price of each safety chaps is \(\$69.95\)
Total price before sales tax
\(\Rightarrow C=539.95+2\times 69.95\\\Rightarrow C=\$ 679.85\)
with a tax of 5%, the total cost will be
\(\Rightarrow C_t=1.05C\\\Rightarrow C_t=1.05\times 679.85=\$ 713.84\)
(1 point) a poll is taken in which 302 out of 525 randomly selected voters indicated their preference for a certain candidate. (a) find a 95% confidence interval for p.
Using the standard z table, a 95% confidence interval for p is (0.5327,0.6173).
In the given question,
A poll is taken in which 302 out of 525 randomly selected voters indicated their preference for a certain candidate.
We have to find a 95% confidence interval for p.
From the question, x=302, n=525
So estimation point,
P=x/n
P=302/525
P=0.575
Now the z value of 95% confidence interval is 1.960 using the standard z table.
Margin of Error (E)=z×√{P(1−P)}/n
Now putting the value
E=1.960×√{0.575(1−0.575)}/525
E=1.960×√(0.575×0.425)/525
E=1.960×√0.244/525
E=1.960×√0.000465
E=1.960×0.0216
E=0.0423
At 95% confidence interval for p is
P−E ≤ p ≤ P+E
Now putting the value
0.575−0.0423≤ p ≤0.575+0.0423
0.5327≤ p ≤0.6173
Hence, a 95% confidence interval for p is (0.5327,0.6173).
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what is the mean and median and mode of 2.3.4.3.2
Answer:
Mean: 2+3+4+3+2=14/5= 2.8
Median: 2,2,3,3,4 = 3
Mode: 2 and 3
Find the value of x.
Step-by-step explanation:
here's the answer to your question
F is the number of faces in a prism.
N is the number of sides of its end face.
Write down a formula connecting F and N.
Answer:
F = N + 2
Step-by-step explanation:
2 bases (N) + N side parallelograms (or Rectangles)
3. The volume V of a cone is given by the
formula 1 2 3 Vrh = π, where r is the
radius of the base and h is the height.
a. Solve the formula for height h.
Answer:
Step-by-step explanation:
The most appropriate choice of volume of a cone is given by-
\(h=\frac{3v}{\pi r^{2} }\)
What is volume of a cone?
The volume of a cone is the amount of space occupied by the cone.
Volume of a cone is given by the formula
\(V=\frac{1}{3} \pi r^{2} h\)
Where, r is the radius of cone and h is the height of the cone.
Here,
\(V=\frac{1}{3} \pi r^{2} h\\3V=\pi r^2h\\h=\frac{3V}{\pi r^2}\)
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Which term refers to a process that is deployed to ensure the confidentiality and integrity of data while being stored or when it is transmitted Brainly?
The term refers to a process that is deployed to ensure the confidentiality and integrity of data while being stored or when it is transmitted is called "Encryption".
What is encryption?Data encryption is a computational procedure that converts plaintext/cleartext (unencrypted, readable data) in ciphertext (encrypted data), which is only available to authorised users with the correct cryptographic key.
Some key features regarding the encryption are-
Data is converted into cipher text through encryption that used a cipher (an encrypted technique) and an encryption key. A key (the same key for symmetric key encryption; a distinct, related value for asymmetric cryptography) is employed to decode the cipher - text into the original value once it has been communicated to the receiving party. Since encryption keys function similarly to physical keys, only users who have the appropriate key can "unlock" or decode the encrypted information.Encryption is frequently important to uphold compliance laws imposed by numerous organisations or standards bodies, in addition to the strong data privacy protection it offers.To know more about encryption, here
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Cheyenne has a home insured for $324,484. It would cost $409,087 to rebuild her home. If she has home insurance that provides personal property coverage at 80% of value, how much of her household belongings would be covered? State you answer to the nearest whole dollar. Do not include the $ symbol or any commas
$259,587 of Cheyenne's household belongings would be covered.
What is the percentage?
A percentage that represents a tenth of a quantity. One percent, denoted by the symbol 1%, is equal to one-hundredth of something; hence, 100 percent denotes the full thing, and 200 percent designates twice the amount specified. A portion per hundred is what the percentage denotes. The percentage refers to one in a hundred. The % sign is used to denote it.
The amount of personal property coverage provided by the insurance is 80% of the insured value of the home:
Personal property coverage = 0.8 x insured value of home
Personal property coverage = 0.8 x $324,484
Personal property coverage = $259,587.20
Therefore, $259,587 of Cheyenne's household belongings would be covered.
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Point P(1,7) is located on circle C. The center of circle Cis (-2, 3). What is the radius of the circle?
A
5
B
3
С
D6
Answer:
5 units
Step-by-step explanation:
Hi there!
Equation of a circle: \((x-h)^2+(y-k)^2=r^2\) where the circle is centered at \((h,k)\) and r is the radius
1) Plug in the center (-2,3)
\((x-(-2))^2+(y-3)^2=r^2\\(x+2)^2+(y-3)^2=r^2\)
2) Plug in the given point P(1,7) and solve for r
\((1+2)^2+(7-3)^2=r^2\\(3)^2+(4)^2=r^2\\9+16=r^2\\25=r^2\)
Take the square root of both sides
\(\sqrt{25} =\sqrt{r^2} \\5=r\)
Therefore, the radius of the circle is 5 units.
I hope this helps!
3 pizzas cost $22.50,how much does 1 pizza cost?
Answer:
7.50
Step-by-step explanation:
Take the total cost and divide by the number of pizzas
22.50/ 3 pizzas
7.50 per pizza
\( \rm \longrightarrow \:Cost \: \: of \: \: 1 \: \: pizzas \: = \frac{Cost \: \: of \: \: 3 \: \: pizzas }{Total \: \: pizzas }\)
\(\rm \longrightarrow \:Cost \: \: of \: \: 1 \: \: pizzas \: = \frac{22.50 }{3 } \\ \)
\(\rm \longrightarrow \:Cost \: \: of \: \: 1 \: \: pizzas \: = \cancel\frac{22.50 }{3 } \: \: ^{7.5} \\ \)
\(\rm \longrightarrow \:Cost \: \: of \: \: 1 \: \: pizzas \: = \: 7.5 \)
Hence, the cost of 1 pizza is $7.5
√4(x-5)^2=40 HELPPPPPPPPPPPPPP
Answer:
x = 15
Step-by-step explanation:
\((\sqrt{4(x -5}) ^{2}\) = 40 If you square the square root of something, it would end up being itself.
4(x - 5) = 40
4x - 20 = 40 Add 20 to both sides
4x = 60 Divide both side by 4
x = 15
Answer:
\(\sqrt{4}(x-5)^2=40 \implies x=5 +2 \sqrt{5}, \quad x=5-2 \sqrt{5}\)
\(\sqrt{4(x-5)^2}=40 \implies x=-15, \quad x=25\)
Step-by-step explanation:
Given equation:
\(\sqrt{4}(x-5)^2=40\)
Simplify √4 = 2 :
\(\implies 2(x-5)^2=40\)
Divide both sides by 2:
\(\implies (x-5)^2=20\)
Square root both sides:
\(\implies x-5=\pm \sqrt{20}\)
Simplify the right side of the equation:
\(\implies x-5=\pm \sqrt{4 \cdot 5}\)
\(\implies x-5=\pm \sqrt{4} \sqrt{5}\)
\(\implies x-5=\pm 2 \sqrt{5}\)
Add 5 to both sides:
\(\implies x=5 \pm 2 \sqrt{5}\)
Therefore, the solutions are:
\(x=5 +2 \sqrt{5}\)\(x=5 -2 \sqrt{5}\)---------------------------------------------------------------------------------------
Given equation:
\(\sqrt{4(x-5)^2}=40\)
Square both sides:
\(\implies 4(x-5)^2=1600\)
Divide both sides by 4:
\(\implies (x-5)^2=400\)
Square root both sides:
\(\implies x-5=\pm \sqrt{400}\)
\(\implies x-5=\pm 20\)
Add 5 to both sides:
\(\implies x=5-20=-15\)
\(\implies x=5+20=25\)
Therefore, the solutions are:
\(x = -15\)\(x = 25\)1. calculate the theoretical yield of the solid precipitate. show your work.
The Theoretical yield of solid precipitate is 1.42g/mol
Now, consider solid precipitate as cacl2
let us take the mass of cacl2 and calculate the moles of cacl2.
Mass of CaCl2 =2.0 g
By, default the molar mass of CaCl2 =110.98 g/mol
To calculate the Moles we have a formula:
Moles=Given mass*1 mol/Molar mass of a precipitate.-----(1)
substitute the values in equation (1)
Moles of CaCl2 =2.0 g * 1 mol/110.98g
= 0.018 mol
Take another solid precipitate:
Mass of K2Co3=2.0 g
The molar mass of K2Co3 =138.205 g/mol
Now calculating the moles of K2Co3
substitute the values in equation(1)
Moles of K2Co3 =2.0 g * 1 mol/ 138.205g
=0.0145 moles
According to balanced equation 1mole of CaCl2 reacts with 1 mole of K2CO
Thus, 0.018 moles of CaCl2 will react with 0.018 moles of K2CO3
And,0.0145 moles of K2CO3 will produce 0.0145 moles of CaCO3
Molar mass of CaCO3 =100.0869 g/mol
Theoretical yield of CaCO3 =moles of CaCO3 *molar mass of CaCO3
=0.0145 moles * 100.0869 g/mol
=1.45g/mol
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How can you decompose the composite figure to determine its area?
Answer:
as a trapezoid, a rectangle, and two squares
A camera costs 115 Canadian dollars. If each Canadian dollar is worth 0.952 US dollars, how much will the camera cost in US dollars?
Answer:
$109.48
Step-by-step explanation:
If you multiply 115 by 0.952, it will give you the answer which it $109.48 !
Answer:
109.48
Step-by-step explanation:
you have to multiply
.952 × 115
In a triangle ABC, a= 4 cm, b= 5 cm, c = 3 cm. Find the area of the triangle.
The area of the triangle ABC is 6 square centimeters.
To find the area of the triangle, we can use Heron's formula, which is based on the lengths of the triangle's sides. Heron's formula states that the area (A) of a triangle with side lengths a, b, and c can be calculated using the following formula:
A = √(s(s-a)(s-b)(s-c))
where s is the semi-perimeter of the triangle, calculated as:
s = (a + b + c) / 2
In this case, the side lengths are given as a = 4 cm, b = 5 cm, and c = 3 cm.
Calculating the semi-perimeter:
s = (4 + 5 + 3) / 2 = 6 cm
Using Heron's formula:
A = √(6(6-4)(6-5)(6-3))
= √(621*3)
= √(36)
= 6 cm²
Therefore, the area of triangle ABC is 6 square centimeters.
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Classify each as Polynomial or Not a Polynomial.
1.) 9x-^3 - 2y
2.) 2x^2 - 4√x
3.) 2x 2/3 - 4y
4.) 20x^2
5.) w/2 + 7
6.) 4y/2x
7.) -20x^2 + y
PLEASE HELP!!!
The line plots show the number of kilometers that Jen and Denisha biked each week for 10 weeks.
Based on the data, who is more likely to ride a greater distance in the eleventh week? Move a word to each blank to complete the sentence. ____ is more likely to ride a greater distance because the ____ of her data is greater ^image
Jen
Mean
Mode
Denisha
Range
Answer: first blank: jen
second blank: mean
Step-by-step explanation:
N/A