Answer:
(3x + 4)
Step-by-step explanation:
9x²+27x+20 can be factored out to (3x + 4)(3x + 5)
Solve the equation 8x + 7 = 6x + 15. What is the value of x?
someone please tell me what the answer is
4x + 1 = ?
Answer:
5x
Step-by-step explanation:
4x+1=5x
Riboflavin is similar to thiamin in that _____. a. both are easily destroyed by heat. b. both are easily destroyed by ultraviolet light. c. though rare, both can be toxic when consumed in high amounts. d. both serve as coenzymes in energy metabolism. e. both are found in abundant amounts in pork.
Riboflavin is similar to thiamin in that option d: both riboflavin and thiamin serve as coenzymes in energy metabolism.
Riboflavin is similar to thiamin in that both serve as coenzymes in energy metabolism. Coenzymes are molecules that assist enzymes in carrying out their biological functions. In the case of riboflavin and thiamin, they play vital roles in the conversion of carbohydrates, fats, and proteins into usable energy for the body.
Riboflavin, also known as vitamin B2, is an essential nutrient found in various foods such as dairy products, meat, eggs, and leafy green vegetables. It is a water-soluble vitamin, meaning it dissolves in water and is not stored in the body to a significant extent. Therefore, it needs to be regularly replenished through the diet.
Thiamin, also called vitamin B1, is another water-soluble vitamin that plays a crucial role in energy metabolism. It is involved in converting glucose into energy and is found in foods like whole grains, legumes, nuts, and seeds.
Both riboflavin and thiamin work as coenzymes by participating in specific enzymatic reactions. They assist enzymes in catalyzing chemical reactions necessary for energy production. Riboflavin, in the form of its coenzyme derivatives flavin adenine dinucleotide (FAD) and flavin mononucleotide (FMN), acts as a carrier of hydrogen atoms in metabolic reactions. Thiamin, on the other hand, is converted into its active form, thiamin pyrophosphate (TPP), which plays a crucial role in the metabolism of carbohydrates.
Now, let's address the options mentioned in the question to understand how riboflavin is similar to thiamin:
a. both are easily destroyed by heat: While it is true that riboflavin and thiamin can be degraded by heat, riboflavin is more sensitive to heat than thiamin. Riboflavin is easily destroyed when exposed to high temperatures, such as during cooking or food processing. Thiamin, although also susceptible to heat, is relatively more stable.
b. both are easily destroyed by ultraviolet light: This statement is incorrect. Riboflavin is indeed sensitive to ultraviolet (UV) light, which is why it is often stored in opaque containers to protect it from light exposure. However, thiamin is not particularly affected by UV light.
c. though rare, both can be toxic when consumed in high amounts: While excessive intake of any nutrient can potentially be harmful, toxicity from riboflavin and thiamin is rare. These vitamins are considered safe for consumption in recommended amounts, and any excess is typically excreted in the urine.
d. both serve as coenzymes in energy metabolism: This statement is correct, as explained earlier. Both riboflavin and thiamin are essential coenzymes involved in energy metabolism.
e. both are found in abundant amounts in pork: While pork is a source of several nutrients, neither riboflavin nor thiamin is found in exceptionally high amounts in pork. Riboflavin is more commonly found in dairy products, while thiamin is abundant in whole grains and legumes.
In summary, the correct answer is option d: both riboflavin and thiamin serve as coenzymes in energy metabolism. They play important roles in converting food into energy and are essential for overall health and well-being.
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50 points!!!
A quadratic function has one solution at x=-2-√6
What is the exact value of the other root?
x= ________
Answer:
Step-by-step explanation:
Discussion
The form of this root is a "mirror image" of the root that is given. They come in pairs.
So the exact value of the other root is
x = - 2 + √6
You should be very careful looking at this root. The only difference is the plus sign where the minus sign used to be.
The given root has to be of the form a rational number ± an irrational number.
Later on, when you get into higher math classes, you will find there is another kind of number that this same rule applies to.
Which expression is equivalent to 5y (8y-3)?
A. 40y2 – 3
B. 40y2 – 15
c. 4072 – 3y
O D. 40y2 – 15y
Answer:
B
Step-by-step explanation:
Find the value of the angle θ rounded to 1 DP.
Answer:
35
Step-by-step explanation:
no kizzy bruvvvvvvvvv
1. Determine whether the stress function = 50x² - 60xy - 70y² satisfies the conditions of compatibility for a two-dimensional problem. Obtain the stress distribution in the matrix plate. Also draw a sketch showing the boundary stresses on (tensor) form. [4+4+2 points]
The stress function satisfies the conditions of compatibility for a two-dimensional problem.
Given stress function is 50x² - 60xy - 70y²
To determine whether the stress function satisfies the conditions of compatibility for a two-dimensional problem, it is required to find the strains and then check for compatibility equations.
Strain components are given as,
εx = ∂υ/∂x + (du/dx)
εy = ∂υ/∂y + (du/dy)
γxy = ∂υ/∂y + (du/dx)
Here,
υ = 50x² - 60xy - 70y²
du/dx = 100x - 60
ydu/dy = -60x - 140y
∂υ/∂x = 100x - 60y
∂υ/∂y = -60x - 140y
∂²υ/∂y² = -140
∂²υ/∂x² = 100
Now,εx = 100x - 60
yεy = -140y - 60
xγxy = -60y - 60x
Taking derivative of εy w.r.t x,
∂(εy)/∂x = -60
Similarly, taking derivative of εx w.r.t y,
∂(εx)/∂y = -60
∴ The stress function satisfies the conditions of compatibility for a two-dimensional problem.
Stress components are given as,
σx = (C11εx + C12εy)
σy = (C21εx + C22εy)
τxy = (C44γxy)
Here,C11 = C22 = 100, C12 = C21 = -60 and C44 = 0
Therefore,
σx = 100(100x - 60y) - 60(-140y - 60x)
= 19600x - 8800
yσy = -60(100x - 60y) + 100(-140y - 60x)
= -19600y + 8800x
τxy = 0
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brainiest to correct answer
Which part of the technological design process involves learning from other scientists that have solved the problem before?
A. decide on a solution
B. refine the original solution design
C. test and evaluate a solution
D. research existing solutions
Answer:
C. test and evaluate a solution
Samuel wants to buy a snake for $288 and the pet store owner wants him to make 6 equal payments of $49.
6 StartLongDivisionSymbol 288 EndLongDivisionSymbol minus 240 = 48. 48 minus 48 to get a remainder of 0 and a quotient of 49.
What error did the pet store owner make?
There is a multiplication error. The payment should be $48 per month.
There is a multiplication error. The payment should be $58 per month.
6 goes into 288 forty-six times. The answer is $46.
6 goes into 48 nine times. $49 is correct. PTS WORTH: 12
ima be up all night please help
The pet store owner made a multiplication error.
The payment should be $48 per month.
How do we calculate an equal periodic payment?An equal periodic payment can be calculated using the following formula:
P = T / N ............................................. (1)
Where, from the question:
P = periodic payment or the amount required to be paid periodically = ?
T = Total amount payable or the amount Samuel bought the snake = $288
N = Number of periods = 6
Substituting all the relevant values into equation (1), we have:
P = $288 / 6
P = $48
The P = $48 implies that $48 has to be multiplied by 6 to obtain $288.
Therefore, the pet store owner made a multiplication error.
The payment should be $48 per month.
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James has 3 blue candies and 3 green candies. 3 people come in and take 2 candies. What is the probability that they do not take 2 candies of the same color?
~ pls solve, i'm really confused
Answer:
33.3333333333
Step-by-step explanation:
we see that there are 6 candies in total
we also see that there is a 50% chance that someone will take out 3 candies of the same color,
50/3 = 16.66666666666667
so the chance of getting 2 marbles of the same color is 16.66666666666667 + 16.66666666666667 which is 33.3333333333
I hope I could help
a rectangle has one side of 10 cm. how fast is the area of the rectangle changing at the instant when the other side is 17 cm and increasing at 5 cm per minute? (give units.)
Hence 85 is the area of the rectangle changing at the instant when the other side is 17 cm and increasing at 5cm per minute.
What is rectangle?
A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. Because of this, it is also known as an equiangular quadrilateral. Because the opposite sides of a rectangle are equal and parallel, it can also be referred to as a parallelogram.the area of the rectangle changing at the instant when the other side is 17 cm and increasing at 5cm per minute
This can be written as A=17x
Now differentiate with respect to t.
dA/dt=17 dx/dt
increasing at 5cm per minute
dx/dt=5
dA/dt=17 (5)
dA/dt= 85
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In ΔOPQ, q = 4.9 inches, ∠Q=37° and ∠O=89°. Find the length of p, to the nearest 10th of an inch.
Answer:
6.6 in
Step-by-step explanation:
\(\angle P=180^{\circ}-37^{\circ}-89^{\circ}=54^{\circ} \\ \\ \frac{p}{\sin P}=\frac{q}{\sin Q} \\ \\ \frac{p}{\sin 54^{\circ}}=\frac{4.9}{\sin 37^{\circ}} \\ \\ p=\frac{4.9\sin 54^{\circ}}{\sin 37^{\circ}} \\ \\ p \approx 6.6\)
Answer:
Step-by-step explanation:
6.6
Yu-xi draws a triangle with two angles measuring and . what is the measure, in degrees, of the third angle? 78 79 101 102
Considering the definition of a right triangle and its properties, the value of the third angle of a triangle with two angles measuring 79 degrees and 23 degrees is 78 degrees.
Triangle definitionA triangle is a polygon that is determined by three line segments called sides, or by three non-aligned points called vertices.
In other words, a triangle is a polygon made up of three sides, as well as three vertices and three interior angles.
One of the properties of any triangle is that the sum of the interior angles is equal to 180°.
Missing angle value in this caseIn this case, you know that:
One interior angle measures 79°.Another interior angle measures 23°.The sum of the interior angles is equal to 180°.So the value of the missing angle can be calculated by:
79° + 23° + missing angle = 180°
Solving:
102° + missing angle = 180°
missing angle= 180° - 102°
missing angle= 78°
Finally, the value of the third angle of a triangle with two angles measuring 79 degrees and 23 degrees is 78 degrees.
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Answer:
The answer is 78.
Step-by-step explanation:
Person above is right and I'm also taking the test!!
what are type of petty cash book ?
Answer:
columnar petty cash book & imprest petty cash book
Step-by-step explanation:
Leticia and Carmen were each given 120 math questions for the month. After 3 weeks,
Leticia completed 75% of the problems and Carmen completed 60% of the problems
How many more questions did Leticia complete thon Carmen?
Find fx (1,0) and fy (1,0) and interpret these numbers as slopes for the following equation: f( x,y)= sqrt(4-x^2-4y^2) fx(1,0)= fy (1,0)=
The value of fx(1, 0) equal to -(1/√(3)) and fy(1, 0) is equal to -20/√3.
To find fx(1, 0) and fy(1, 0), we need to take the partial derivative of the given equation with respect to x and y respectively, and then evaluate the derivatives at the point (1,0).
First, we have f(x, y) = √(4 - x² - 4y²)
To find fx(1, 0), we'll take the partial derivative of f(x, y) with respect to x:
fx(x, y) = ∂f/∂x = -(x/√(4 - x² - 4y²))
Therefore, fx(1, 0) = -(1/√(4 - 1² - 4×0²)) = -(1/√(3))
fx(1, 0) = -(1/√(3))
To find fy(1,0), we'll take the partial derivative of f(x, y) with respect to y:
fy(x, y) = ∂f/∂y
= -2y/√(4 - x² - 4y²)
Therefore, fy(1, 0) = -20/√(4 - 1² - 4×0²) = -20/ √3
These numbers, fx(1, 0) and fy(1, 0), can be interpreted as slopes of the equation. The slope in this case represents the rate of change of the function in the x and y directions. A negative value for fx(1,0) means that as x increases by a small amount, the function value decreases by a small amount, while a value of 0 for fy(1,0) means that as y increases by a small amount, the function value does not change.
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Can you help me with this math question
Answer:
B
Step-by-step explanation:
because the function is correctly done to be 4/3
✧・゚:Multiple Choice:・゚✧
What is the slope of the line in the graph below?
A. -2
B. -1
C. 1
D. 2
° ♡ ₒ ♡ °
Thank you!
Answer:
-2
Step-by-step explanation:
slope is rise over run
-2/1
= -2
Answer:
-2
Step-by-step explanation:
Slope is rise over run -2/1
What is the price of an article costing
Rs 1300 after levying 13 value Added Tax
find it
SP-?
CP-1300
VAT% - 13%
Answer: Rs 1469
Step-by-step explanation:
Coat of item = RS 1300
Value added tax = 13%
The price of the item will then be calculated as:
= 1300 + (1300 × 13%)
= 1300 + (1300 × 0.13)
= 1300 + 169
= Rs 1469
(5 + i) + (5 - i)
What is the sum or difference?
Answer:
10
Step-by-step explanation:
5+5=10
negative and positive cancel each other out > i-i=0
10+0 simplifies to 10
i need this now ....... EXPLAIN YOUR ANSWER!!!
Three water pumps can move a total 1700 gallons of water per minute from a flooded mineshaft. If engineers
wnat to remove at least 5500 gallons per minute, how many pumps will they need to be operating? The answer choices are:
9.7 water pumps
9 water pumps
10 water pumps
93 water pumps
Answer:
A 9.7
Step-by-step explanation:
I used a caculator
Finding an Unknown Side Length in a Right
WARM-UP Triangle
B
Find the approximate value of a.
4.69 in.
5.09 in.
O
11.05 in.
12 in
30.71 in.
DONE
23°
A
Therefore, the approximate value of AC is 4.69 in.
An approximate value by defect of a number is a value that is close to this number, less than it, as close as possible, and with a requested level of precision. The number 3.1415 is an approximate value by defect of the number π.
Given a right triangle ABC with AB as the hypotenuse of length 11.05 in and angle A = 23°.We are required to find the approximate value of AC.Based on the trigonometric ratios for right triangles, we have:
Tan A = Perpendicular/ Base => Perpendicular = Tan A * Base
On substituting the values, we get:
Tan A = AC / AB=> AC = Tan A * AB
On substituting the values, we get:
AC = Tan 23° * 11.05in= 4.69in (approximately)
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What is the equation of the line?
Solve for x.
x + 47 = -23
x =
Answer:
x = -70
Step-by-step explanation:
x+47=−23
Subtract 47 from both sides.
x+47−47=−23−47
x = −70
Answer:
x=-70
Step-by-step explanation:
x +47= -23
-47 -47
x= -70
a three-quarter sector of a circle of radius 4 inches along with its interior is the 2-d net that forms the lateral surface area of a right circular cone by taping together along the two radii shown. what is the volume of the cone in cubic inches?
We can begin by finding the circumference of the circle using the formula C=2πr, where r is the radius of the circle. C = 2π(4) = 8π. Radius is defined as length between center and arc of circle.
Since the sector of the circle is three-quarters, its central angle is 3/4 * 360 degrees = 270 degrees.
To find the length of the arc of the sector, we use the formula L = rθ, where θ is the central angle in radians.θ = 270 degrees = 3π/2 radians
L = 4(3π/2) = 6π
Therefore, the lateral surface area of the cone is 6π square inches.
The lateral surface area of a cone is given by the formula L = πrℓ, where r is the radius of the base of the cone and ℓ is the slant height.Since the lateral surface area of the cone is 6π square inches and the radius of the base of the cone is 4 inches (the same as the radius of the circle), we have:6π = π(4)ℓ
Solving for ℓ, we get:
ℓ = 3
Now we can find the height of the cone using the Pythagorean theorem. The height, h, the slant height, ℓ, and the radius of the base, r, form a right triangle, where h is the hypotenuse.h^2 = ℓ^2 - r^2
h^2 = 3^2 - 4^2
h^2 = 9 - 16
h^2 = -7 (This is not a valid solution since we cannot take the square root of a negative number.)
Therefore, there must be an error in the given problem, as the dimensions provided do not allow for a valid solution.
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Find the value of the expression:
2c2+3 for c=–11; 0; 15
Answer:
245, 3, 453
Step-by-step explanation:
-11 squared = 121
121 multiplied by 2 = 242
242 + 3 = 245
0 squared is 0
0 multiplied by 2 = 0
0 + 3 = 3
15 squared is 225
225 multiplied by 2 = 450
450 + 3 = 453
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SOMEONE PLS HELP ME ASAPPP: The odometer of a vehicle tells you how far it has traveled in its lifetime. The "trip odometer" can be reset at any time to tell you the length of a particular trip. Suppose the main odometer of a new car is at 467 miles and the trip odometer is at 22 miles. How many more miles do you have to travle before the main odometer is precisely two times the trip odometer?
Answer:
423 milesStep-by-step explanation:
x - the miles to travel
467+x - the main odometer after x miles travel
22+x - the trip odometer after x miles travel
2(22+x) - two times the trip odometer after x miles travel
2(22+x) = 467 + x
44 + 2x = 467 + x
- 44 -44
2x = 423 + x
-x -x
x = 423
Answer:
how far you've driven
Step-by-step explanation:
382.993 to the nearest hundred hundred
Answer:
400
Step-by-step explanation:
382.993 is lies between 300 and 400
and 400 is nearest hundred of 382.993
Answer:
9
Step-by-step explanation:
in the tirhd twistbt the tiw d the n. doouble itb.
How many and what type of solutions does 5x2−2x+6 have?
1 rational solution
2 rational solutions
2 irrational solutions
2 nonreal solutions
Answer:
2 nonreal solutions
Step-by-step explanation:
given a quadratic equation in standard form
ax² + bx + c = 0 (a ≠ 0 )
then the nature of the roots are determined by the discriminant
b² - 4ac
• if b² - 4ac > 0 then 2 real and irrational solutions
• if b² - 4ac > 0 and a perfect square then 2 real and rational solutions
• if b² - 4ac = 0 then 2 real and equal solutions
• if b² - 4ac < 0 then no real solutions
5x² - 2x + 6 = 0 ← in standard form
with a = 5 , b = - 2 , c = 6
b² - 4ac
= (- 2)² - (4 × 5 × 6)
= 4 - 120
= - 116
since b² - 4ac < 0
then there are 2 nonreal solutions to the equation