Answer:
\(1\) and \(6\).
Step-by-step explanation:
Let \(x\) denote one of the integers. Since the two integers add up to \(7\), the other integer would be \((7 - x)\).
The sum of the squares of these integers is \(37\). In other words:
\(x^{2} + (7 - x)^{2} = 37\).
Expand \((7 - x)^{2}\) using binomial expansion. Simplify and rewrite this equation and solve for \(x\).
\(2\, x^{2} - 14\, x + 12 = 0\).
\(x^{2} - 7\, x + 6 = 0\).
Using the quadratic formula or factorization, \(x = 1\) or \(x = 6\). Thus, the two integers are \(1\) and \(6\).
amy sells beaded necklaces. each large necklace sells for $4.10 and each small necklace sells for $3.80. how much will she earn from selling 7 large necklaces and 1 small necklace?
Amy will earn $28.70 + $3.80 = $32.50.
Profit and loss:
A profit and loss (P&L) statement refers to a financial statement that summarizes the revenues, costs, and expenses incurred during a specified period, usually a quarter or fiscal year. These records provide information about a company’s ability or inability to generate profit by increasing revenue, reducing costs, or both. P&L statements are often presented on a cash or accrual basis. Company managers and investors use P&L statements to analyze the financial health of a company.
Amy will earn $28.70 from selling 7 large necklaces (7 x $4.10 = $28.70) and $3.80 from selling 1 small necklace, so in total, she will earn $28.70 + $3.80 = $32.50.
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Guys could you tell me what's the answer of this?
and Explain please.
46 + __ = 100
Answer: 54
Step-by-step explanation: so you do 100 - 46 to find the blank, which is 54
the question is in the photo! :)
Answer:
2
Step-by-step explanation:
So to get the answer we need to figure out what x is
2×2=4
so x has to be 2
Select all of the ordered pairs that make the inequality y > x2 + 3x – 4 true. (0, 0) (2, 1) (–2, –1) (–5, –1)
Answer:
4times1/4(y-(-25/4))=(x-(-3/2)) small 2
4p(y-k)=(x-h)small 2
something like that I belive
or just y>xsmall2+3x-4
Answer:
A and C
Step-by-step explanation:
Metallic blocks x,y, and z were placed in the graduates a, b, c. The initial volume of liquid in the equal sized graduates was 40 ml. Which block was placed in which graduate.
Answer:
hope it helps B-Y, C-Z, A-X
The bearing of a point K from a point L is 084 degrees. What is the bearing of L from K
Answer:
if point bearing of k-l is 084 degree so the bearing of point l-k is 84 degree
The bearing of a point L from a point K is 264 degrees.
What is Addition?
A process of combining two or more numbers is called addition.
Given that;
The bearing of a point K from a point L is 084 degrees.
Now,
Since, The bearing of a point K from a point L is 084 degrees.
Hence, The bearing of a point L from a point K = 180° + 84°
= 264°
Thus, The bearing of a point L from a point K is 264 degrees.
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Compute the following arithmetic problems in Z/8. Represent your answer with the least positive representative of the appropriate equivalence class (a) [3] + [4] 7 ] (b) [2] . ([2] + [7]) 2 ]] (c) ([6] + [5]). ([3] + [7])
The answers to the given arithmetic problems are- (a) [3] + [4] 7 ] = 7, (b) [2] . ([2] + [7]) 2 ]] = 4, and (c) ([6] + [5]). ([3] + [7]) = 110.
Here, we are given three equations as follows, let us solve them one by one-
a. [ [3] + [4] 7 ]
Here [z] = remainder when z is divided by 8
Thus, [4] = 4
⇒ [ [3] + 4*7 ]
= [ 3 + 28 ]
= [ 31 ]
= 7
b. [ [2] . ([2] + [7]) 2 ]
= [ 2 . (2 + 7) 2 ]
= [ 2*9*2 ]
= [ 36 ]
= 4
c. ([6] + [5]). ([3] + [7])
= (6 + 5). (3 + 7)
= 11*10
= 110
The answers to the given arithmetic problems are- (a) [3] + [4] 7 ] = 7, (b) [2] . ([2] + [7]) 2 ]] = 4, and (c) ([6] + [5]). ([3] + [7]) = 110.
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factorize:
(1 - a^2) (1 - b^2) + 4ab
Answer:
(ab+a-b+1)(ab-a+b+1)
Step-by-step explanation:
(1 - a²) (1 - b²) + 4ab= 1 -a²-b² +a²b² +4ab = (a²b² +2ab +1 )- (a²-2ab+b²)= (ab+1)² - (a-b)²= (ab+1 +a-b)(ab+1 -a+b)= (ab+a-b+1)(ab-a+b+1)PLEASE HELP
What is the approximate volume of the cone
Use 3.14 for TT.
57 cm3
339 cm3
509 cm3
1526 cm3
The volume of the Illustrated cone used as an example is 51.3cm³.
How to calculate the volume?Volume is a measurement of three-dimensional space that is occupied. It is frequently expressed numerically using SI-derived units, as well as different imperial or US-standard units. Volume and the definition of length are related.
A cone is a recognizable three-dimensional geometric shape with a flat and curved surface that is pointed upward. The formula for the volume of a cone is V=1/3hπr²
Let's say the radius is 7cm. The volume will be:
= 1/3 × 3.14 × 7²
= 51.3cm³
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G(Z)=z+1/3z−2, Find G(A+H)−G(A)/2
The expression G(A+H) - G(A)/2 simplifies to (2A + H + 1)/(3A - 6).
To evaluate the expression G(A+H) - G(A)/2, we first substitute A+H and A into the expression G(Z) = Z + 1/(3Z - 2).
Let's start with G(A+H):
G(A+H) = (A + H) + 1/(3(A + H) - 2)
Next, we substitute A into the function G(Z):
G(A) = A + 1/(3A - 2)
Substituting these values into the expression G(A+H) - G(A)/2:
(G(A+H) - G(A))/2 = [(A + H) + 1/(3(A + H) - 2) - (A + 1/(3A - 2))]/2
To simplify this expression, we need to find a common denominator for the fractions. The common denominator is 2(3A - 2)(A + H).
Multiplying each term by the common denominator:
[(A + H)(2(3A - 2)(A + H)) + (3(A + H) - 2)] - [(2(A + H)(3A - 2)) + (A + H)] / [2(3A - 2)(A + H)]
Simplifying the numerator:
(2(A + H)(3A - 2)(A + H) + 3(A + H) - 2) - (2(A + H)(3A - 2) + (A + H)) / [2(3A - 2)(A + H)]
Combining like terms:
(2A^2 + 4AH + H^2 + 6A - 4H + 3A + 3H - 2 - 6A - 4H + 2A + 2H) / [2(3A - 2)(A + H)]
Simplifying the numerator:
(2A^2 + H^2 + 9A - 3H - 2) / [2(3A - 2)(A + H)]
Finally, we can write the simplified expression as:
(2A^2 + H^2 + 9A - 3H - 2) / [2(3A - 2)(A + H)]
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Total Number of Boys 58 Number of boys who can roll their tongues 40 Total Number of Girls 78 Number of girls who can roll their tongues 62 What percentage of the class members can roll their tongues? Record your answer and fill in the bubbles on your answer grid. Be sure to use the correct place value.
The percentage of the class members can roll their tongues is 75%
What is the percentage?
It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
Total class members = Total Number of Boys + Total Number of Boys
= 58 + 78
= 136
Total class members who can roll their tongues
= Number of boys who can roll their tongues + Number of girls who can roll their tongues
= 40 + 62
= 102
Percentage of the class members can roll their tongues
= (Total class members who can roll their tongues ) / (Total class members )
= 102/136
= 0.75
= 75%
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in a class of 40 students,only 20% of the students are participating in art club.how many students are not taking part of the club
Answer:
32
Step-by-step explanation:
20% of 40 = 8
40 - 8 = 32
32 students are not taking part of the club.
Someone please answer this I’m confused
1) Advertisement XYZ Company charges $35 for the first four lines and $5.25 per extra
line to run the ad for one week. Jacqueline plans to sell her house and places a 15-line
ad.
a. What will Jacqueline's ad cost to run for one week?
b. What will Jacqueline's ad cost to run for four weeks?
Answer:
a) $92.75
b) $371
Step-by-step explanation:
Let x = number of lines in the ad
Let x = total charge per week to run the ad
Given:
Charge per week for first 4 lines = $35Charge per week for each additional line = $5.25Create equations based on the given information:
y = 35 for x < 4
y = 35 + 5.25(x - 4) for x ≥ 4
Part (a)
Given:
Jacqueline's ad = 15 lines⇒ y = 35 + 5.25(15 - 4)
= 35 + 5.25(11)
= 35 + 57.75
= 92.75
So the ad will cost $92.75 to run for 1 week.
Part (b)
Cost to run the ad for 4 weeks = 4 × cost of 1 week
= 4 × 92.75
= $371
2. Columbia Records unvelled the LP (a vinyl record) in the Waldorf Astoria on June 18, 1948,
In two fomats: 10 inches in diameter and 12 Inches in diameter. If the thickness of one
vinyl record is 0.112 in, then determine the difference in volumes between the 10 inch and
12 inch records.
Solve −4(2x − 1) = −6(x + 2) − 2. (1 point)
(a)−5
(b)5
(c)9
(d)−9
Answer:
c. 9
Step-by-step explanation:
-8x+4=-6x-12-2
-8x+6x=-12-2-4
-2x=-18
2x=18
x=18/2
x=9
Answer:
C. \(9\)
Step-by-step explanation:
\(-4(2x -1) = -6(x +2) -2 \\ -8x +4 = -6x -12 -2 \\ -8x +4 = -6x -14 \\ -8x +4 +6x = -6x -14 +6x \\ - 2x +4 = -14 \\ - 2x +4 -4 = -14 -4 \\ -2x = -18 \\ \frac{-2x}{-2} = \frac{-18}{-2} \\ x = 9\)
The product of which expression contains four decimal places?
O 5.3478x6.4214
O 6.4x9.1
O 521x3.82
O 14.2x0.784
???
Answer:
45.2x0.784
Step-by-step explanation:
This problem equals 35.4368, which has four decimal points
50 POINTS!!!
Help me with this pls
Answer with explanation = Brainliest
Absurd answers = report
Answer:
A)
Step-by-step explanation:
A systems of equations that are 2 completely separate lines will have 1 solution.
A systems of equations that are the same line will have infinite amount of solutions.
A systems of equation that have parallel lines will have no solution.
We see that B, C, and D are all 2 completely separate lines with their own slope and y-intercept. Therefore, they will have 1 solution.
A is our answer because we see that they have the same slope but different y-intercepts. This means that they are parallel lines and will never intersect each other, thus providing us with no solution.
To solve this system of equations, Ayana isolated y in the first equation and then substituted for y in the second equation. What was the result? | 2y = 8 z2 + y = 5 O A. x2 + 8x = 5 O B. x2 + 4x2 = 5 O c. x2 + 4x = 5 D. x2 + 8x2 = 5
2y=8x
if Anya Isolated y, then 2y/2=8x/2
y= 4x
Substituting for y in the second equation x^2+y = 5 gives
x^2+(4x)=5
x^2 + 4x = 5
4(cos⁶A-sin6A) = cos³2A+3cos2A
Answer:
On Paper
Step-by-step explanation:
On the Paper
I hope this helped!
For the problem 9 + 2(3) do you get the same final answer if you add first as you do if you multiply
first?
Answer:
No
Step-by-step explanation:
no you do not get the same answer
This is the order in which you should approach problems, doing otherwise may lead to a wrong answer
P - parenthesis -- meaning solve whatever is the the parenthesis
E - exponents -- an example of an exponent is \(2^{3}\) which equals 8
MD - multiplication/division
AS - addition / subtraction
for our particular problem, we have
9 + 2(3)
multiplication trumps addition thus we perform multiplication first
9 + 6 = 15 ---CORRECT
if we were to addition first we would get
9 + 2(3) = 11(3) = 33 This would be WRONG
note: multiplication and division are on the same level
subtraction and addition are on the same level
if you encounter a problem like 4 ÷ 2 * 3. perform the calculation from left to right thus we would have 4 ÷ 2 = 2 and then 2 * 3 = 6
same applies for addition subtraction
find and sketch the domain of the function. f(x,y)= sqrt (y) + sqrt [25-(x^2)-(y^2)]
The domain of the function is a semicircle with a radius of 5 and centered at the origin, where y is non-negative.
The domain of a function is the set of all possible input values for which the function is defined. In this case, the function is defined as:
\(f(x,y) = \sqrt{y} + \sqrt{[25 - x^2 - y^2} ]\)
To find the domain of this function, we need to determine the values of x and y that would result in the function producing a real-valued output.
For the square root of y to be real, y must be non-negative. That is, y ≥ 0.
For the square root of [\(25 - x^2 - y^2\)] to be real, we must have:
\(25 - x^2 - y^2 \geq 0\\x^2 + y^2 \leq 25\)
This is the equation of a circle with radius 5 centered at the origin. Therefore, the domain of the function is the set of all points (x, y) that lie inside or on this circle and have y ≥ 0.
In interval notation, we can write:
Domain: {(x, y) |\(x^2 + y^2 \leq 25, y \geq 0\)}
To sketch the domain, we can plot the circle with radius 5 centered at the origin and shade the region above the x-axis. This represents all the valid input values for the function. The boundary of the domain is the circle, and the domain includes all points inside the circle and on the circle itself, but not outside the circle.
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convert 150 lb to kg
Write the expression in simplest form 2+3a+9a
Answer: 2+12a
Step-by-step explanation:
add like terms: 3a+9a
Find three rational numbers between - 2 and - 3
And please write in step by step explination.
Step-by-step explanation:
follow these steps with tbe no. of -2 and - 3 you will come with answer
Answer:
- 21/10, -5/2 and -11/4.
Step-by-step explanation:
Rational numbers can be written as a/b where a and b are integers ( b not zero).
So three naumbers between - 2 and -3 are
-2.1, -2.5 and -2.75 which can be written as:
- 21/10, -5/2 and -11/4.
A feed trial to compare three dietary supplements was conducted using 24 pigs of approximately the same body weight. The 24 pigs came from four litters, with each of the four litters containing six pigs. Within a given litter, the six pigs were randomly assigned to the three dietary supplements, with two receiving each supplement. The pigs were housed in 24 identical pens and fed their assigned diets under identical conditions. This is an example of a block design. What are the blocks in this design?a. The 24 different pigsb. The three different dietary supplementsc. The four different littersd. The 24 identical pensIt is don't D
The blocks in this design are c. the four different litters. The pigs within each litter were grouped together as a block, and the three dietary supplements were randomly assigned to the two pigs within each block.
This helps control for any variation between litters that could affect the results of the feed trial. The 24 identical pens are not the blocks in this design, but rather the units where the treatments were applied.
A litter is defined as the live birth of several young at once in an animal from the same mother and typically from the same pair of parents, especially three to eight young. The term is most frequently used to refer to the offspring of mammals, although it can also refer to any animal that bears numerous offspring.
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O Find f o g, g o f, and g o g. f(x) = 3√x-1, g(x) = x^3 + 1 X- (a) fog (b) gof (c) gog
The compositions are:
(a) f o g(x) = 3x³²
(b) g o f(x) = 81x√x - 30√x + 1
(c) g o g(x) = x⁹ + 3x⁶ + 3x³ +
To find f o g, g o f, and g o g, we need to substitute the functions f(x) and g(x) into each composition and simplify the expressions.
(a) f o g:
f o g(x) = f(g(x))
f o g(x) = f(x³ + 1)
f o g(x) = 3√(x³ + 1 - 1)
f o g(x) = 3√(x³)
f o g(x) = 3x³²
(b) g o f:
g o f(x) = g(f(x))
g o f(x) = g(3√x - 1)
g o f(x) = (3√x - 1)³ + 1
g o f(x) = (3√x - 1)(3√x - 1)(3√x - 1) + 1
g o f(x) = (27x - 9√x + 9√x - 3)(3√x - 1) + 1
g o f(x) = (27x - 3)(3√x - 1) + 1
g o f(x) = 81x√x - 27√x - 3√x + 1
g o f(x) = 81x√x - 30√x + 1
(c) g o g:
g o g(x) = g(g(x))
g o g(x) = g(x³ + 1)
g o g(x) = (x³ + 1)³ + 1
g o g(x) = (x⁹ + 3x⁶ + 3x³ + 1) + 1
g o g(x) = x⁹ + 3x⁶ + 3x³ + 2
So, the compositions are:
(a) f o g(x) = 3x³²
(b) g o f(x) = 81x√x - 30√x + 1
(c) g o g(x) = x⁹ + 3x⁶ + 3x³ +
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is the fraction 12/98 a perfect square??
Answer:
No
Step-by-step explanation: By dividing 12/98 you would get a decimal(0.12244897959) by this not being a whole number it can not be a perfect square.
A technique is set at 20 mA, 100 ms and produces 300 mR intensity. Find the new time (ms) if the current is doubled and the intensity is constant
Using inverse square law, the time when the current is doubled and the intensity remains constant is 25ms
What is the new time when the current is doubled?To find the new time (in milliseconds) if the current is doubled and the intensity remains constant, we can use the concept of the Inverse Square Law in radiography.
According to the Inverse Square Law, the intensity of radiation is inversely proportional to the square of the distance or directly proportional to the square of the current. Therefore, if the current is doubled, the intensity will be quadrupled.
Given that the initial intensity is 300 mR (milliroentgens) and the current is doubled, the new intensity will be:
New Intensity = 4 * Initial Intensity = 4 * 300 mR = 1200 mR
Now, we need to find the new time required to produce this new intensity while keeping the intensity constant. Since the intensity is directly proportional to the square of the current, we can set up the following equation:
(New Current / Initial Current)² = (Initial Time / New Time)
Squaring both sides:
(2 / 1)² = (100 ms / New Time)
4 = 100 ms / New Time
Cross-multiplying:
4 * New Time = 100 ms
New Time = 100 ms / 4
New Time = 25 ms
Therefore, if the current is doubled and the intensity remains constant, the new time required would be 25 milliseconds.
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Find the slope of each line defined below and compare their values.
Equation of Line A:
5
y=-=x- 5
3
Submit Annua
Select values from Line B:
The slope of Line A is
of Line A is
X
-8
-6
-4
-2
0
0
-1
-2
-3
-4
and the slope of Line B is
the slope of Line B.
Therefore the slop
Answer: slope of A is -5/3 and the slope of B is -1/2