Answer:
x = [tex]\frac{17}{24}[/tex]
Step-by-step explanation:
Given
- [tex]\frac{5}{8}[/tex] - (- [tex]\frac{4}{3}[/tex] ) = x
Note that - (- [tex]\frac{4}{3}[/tex] ) = + [tex]\frac{4}{3}[/tex] , thus
- [tex]\frac{5}{8}[/tex] + [tex]\frac{4}{3}[/tex] = x
Multiply through by 24 ( the lcm of 8 and 3 ) to clear the fractions
- 15 + 32 = 24x
17 = 24x ( divide both sides by 24 )
[tex]\frac{17}{24}[/tex] = x
A biologist monitors the growth of molds to better understand how they spread. She begins with a culture of 50 molds in a container that can hold 1,000 cultures. Which model represents this scenario?
Answer:
D. y = StartFraction 1,000 Over 1 + 19 e Superscript negative 0.6 t Baseline EndFraction
Step-by-step explanation:
edge 2020
If a rectangle is 5 units wide and x units high what is its perimeter?
Answer:
10 +2x
Step-by-step explanation:
Put the given values into the perimeter formula and simplify.
P = 2(L+W)
P = 2(5 + x)
P = 10 +2x . . . . the perimeter of the rectangle in units
Determine if 0.737337333733337333337... is rational or irrational.
Answer:
The number 0.737337333733337333337...0.737337333733337333337... is irrational because it is a decimal that does not repeat or terminate
Step-by-step explanation:
it is not repeating or terminating which means it is irrational
The given number 0.737337333733337333337... non-repeating and non-terminating so it will be an irrational number.
What is an irrational number?Any real number that cannot be written as the quotient of two integers, p/q, where p and q are both integers, is referred to as an irrational number.
In another word, irrational numbers are those numbers that can not terminate.
For example, √2, and √3 are irrational numbers because they cannot be written as p/q where p and q both should be integers.
Given the decimal 0.737337333733337333337... it not repeating and nonterminating so we cannot convert it into the fraction p/q such that p and q both remain integers.
Hence "The given number 0.737337333733337333337... non-repeating and non-terminating so it will be an irrational number".
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Solve the system of equations: 3x + 4y = 11 x – 2y = – 3
Answer:
{x,y}={1,2}
Step-by-step explanation:
stephon scores 75,75,81,95 on four math tests. what is his mean math test score?
Answer:
should be 81.5
Step-by-step explanation:
A right triangle has one vertex on the graph of y = x^8, x>0, at (x, y), another at the origin, and the third on the positive y-axis at (0, y), as shown in the figure. Express the area A of the triangle as a function of x.
Answer:
Area = [tex]\frac{1}{2}x^{9}[/tex]
Step-by-step explanation:
From the graph attached,
Triangle given is a right triangle.
This triangle ha three vertices (0, y), (x, y) and (0, 0).
Therefore, measure of the base = x units
And measure of the height of the triangle = y units
Area of a triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(x)(y)[/tex]
Since, y = [tex]x^{8}[/tex]
Therefore, Area of the triangle = [tex]\frac{1}{2}(x)(x)^8[/tex]
= [tex]\frac{1}{2}x^{9}[/tex]
Area of the given right triangle is [tex]\frac{1}{2}x^{9}[/tex] units².
The aspect ratio of a TV screen is the ratio of the width to the height of the image. A regular TV has an aspect ratio of 16: 9. Find the height and width of a 51-inch TV screen to the nearest tenth of an inch. (The measure given is the length of the diagonal across the screen.)
Answer:
Width = 44.45 inches
Height = 25.00 inches
Step-by-step explanation:
(16x)^2 + (9x)^2 = 51^2
256x^2 + 81x^2 = 2601
337x^2 = 2601
x^2 = 7.718
x = 2.778
Width = 44.45 inches
Height = 25.00 inches
I think this is right
The width and height of the given TV screen will be 44.45 inches and 25.00 inches.
What is a rectangle?A rectangle is a geometrical figure in which opposite sides are equal.
The angle between any two consecutive sides will be 90 degrees.
Area of rectangle = length × width.
Perimeter of rectangle = 2( length + width).
The length of any TV is measured diagonally.
So,
Diagonal = 51 inches
Now the ratio is ;
W/H = 16 / 9
Let's say both are fractions of x
So,
Width = 16x , Height = 9x
By Pythagoras theorem,
(16x)² + (9x)² = 51²
256x² + 81x² = 2601
337x² = 2601
x² = 7.718
x = 2.778
So width = 16(2.778) = 44.45 inches.
And height = 9(2.778) = 25.00 inches
Hence "The width and height of the given TV screen will be 44.45 inches and 25.00 inches".
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6²-26+3
A) quadratic monomial
B) cubic binomial
C) quartic trinomial
D) quadratic trinomial
solve for x: 3/2+1/2x=2x
What is the slope m of the graphed line?
A. m= 0
B. m= 5
C. m= 1/5
D. m= -1/5
Answer:
m=1/5
Step-by-step explanation:
please mark me as a brainlist...
Will switching points when calculating distance affect the final answer? Explain. (1 point)
Switching points when calculating distance will affect the final answer because the formula adds the differences of the corresponding X-
and y-values
Switching points when calculating distance will not affect the final answer because the formula adds the differences of the
corresponding X- and y-values.
Switching points when calculating distance will affect the final answer because the formula finds the differences of the corresponding x-
and y-values
Switching points when calculating distance will not affect the final answer because the formula squares the differences of the
corresponding X- and y-values.
Answer:b
Step-by-step explanation:
Susie starts her hike at 255 feet below sea level when she reaches the end of the hike she is still below sea level at -178 feet what was the change in elevation from the beginning of Susie’s hike to the end of the hike
Answer:
98 was the change in elevation
Step-by-step explanation:
I need help in an hour or less pls The number N of bacteria in a refrigerated food is given by N(T ) = 20T 2 – 80T + 500, 2 ≤ T ≤ 14 where T is the temperature of the food in degrees Celsius. When the food is removed from refrigeration, the temperature of the food is given by T(t) = 4t + 2, 0≤ t ≤ 3 where t is the time in hours. a. Find the composition (N ० T)(t) and interpret its meaning in context. To get the N number of T temperature, after is given in t in the time of hours. b. Find the time when the bacteria count reaches 2000.
Answer:
The number N of bacteria in a refrigerated food is given by N(T) = 10T^2 - 20T + 600, 2 ≤ T ≤ 20 where T is the temperature of the food in degrees Celsius. When the food is removed from refrigeration, the temperature of the food is given by T(t) = 3t + 2, 0 ≤ t ≤ 6 where t is the time in hours.
Step-by-step explanation:
(-7)-(-2)
what is negative 7 minus negative 2
Answer:
is -5.
Step-by-step explanation:
add 2 to -7
Answer:
-5
Step-by-step explanation:
A negative minus a negative will also result in a negative. Subtracting regularly and adding a negative symbol will give you your'e answer.
-5x + 4 = 2x + 16
How do I solve this
Find the endpoint of segment CD if D(-3, 1/2) and the midpoint is (-1/2, 3).
Answer:
Step-by-step explanation:
(x - 3)/2 = -1/2
x - 3 = -1
x = 2
(y + 1/2)/2= 3
y + 0.5 = 6
y = 5.5
(2, 5.5) the other endpoint
Given: 2x + 3y = 6. When x has a value of zero, the y value is 2.
True
False
Answer:
True
Step-by-step explanation:
2x+3y=6
2(0)+3y=6
0+3y=6
3y=6
y=2
To determine the number of trout in a lake, a conservationist catches 132 trout, tags them, and throws them back into the lake. Later, 22 trout are caught; 11 of them are tagged. How many trout would the conservationist expect to be in the lake?
The conservationist would expect that there are how many trout in the lake?
Is 6.34_ rational or irrational
Answer:
rational
Step-by-step explanation:
I WILL GIVE BRAINLIEST!!!!! Consider the scenario below. This morning Haidar noticed that her dog, Aldi, seemed unwell. She took him to the vet, where he was diagnosed with an ear infection. The veterinarian prescribed an antibiotic called amoxicillin to help Aldi feel better. Haidar will give Aldi 150 mg of the antibiotic once each day for 10 days. Each time Haidar gives Aldi his next dose of medication, 40% of the previous dose remains in his bloodstream. Use what you know about recursive sequences and iteration to explore the mathematics related to this scenario. 1. Determine the amount of medication that is in Aldi’s bloodstream after Haidar gives him each of the 1st, 2nd, 3rd, and 4th doses of amoxicillin. Show your work.
Answer:
225 mg remain in Aldi bloodstream
Step-by-step explanation:
150mg of amoxicillin was given daily for 10 days equals 1,500
of the 1500-40% =600mg
600mg divided by 4 days = 225mg still in blood stream
Simplify. 3x – 8(x + 4)
Answer:
-5x - 32
Step-by-step explanation:
Use distributive rule : a(b + c) = ab + ac
3x - 8(x + 4) =3x + x*(-8) + 4*(-8)
= 3x - 8x - 32 {combine like terms}
= -5x - 32
Solve the equation for the variable.
[tex] - 5.2x + 57.9 = 15.9 + 1.8x[/tex]
x = [?]
Answer:
x = 6
Step-by-step explanation:
Given
- 5.2x + 57.9 = 15.9 + 1.8x ( subtract 1.8x from both sides )
- 7x + 57.9 = 15.9 ( subtract 57.9 from both sides )
- 7x = - 42 ( divide both sides by - 7 )
x = 6
What are the correct answers for this?
Find AC if AB = 17 and BC = 9
Answer:
ANSWER:-
Step-by-step explanation:
AB+BC=AC
17+9
=26 is the answer.
I will mark you the BRAINLIEST IF U DO THIS WELL
Answer: i think 0<u<425.65
this is considering every player will bought only one uniform for the season
Step-by-step explanation:
what is 63,120,000 written in scientific notation
Writing a number in scientific notation involves writing the number to the appropriate power of 10. Hence, the number written in scientific notation is [tex]6.312 \times 10^{7}[/tex]
Given the number : 63,120, 000
63,120,000 = 6312 × 10000
6312 = 6.312 × 1000
63,120,000 = 6.312 × (10000) × (1000) = 6.312 × 10000000
We can expressed the value to the power of 10 thus :
6.312 × 10000000 = 6.312 × [tex]10^{7} = 6.312 \times 10^{7} [/tex]
Therefore, the Number written in scientific notation is [tex]6.312 \times 10^{7}[/tex]
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R is the midpoint of AM. If RA = x2 - 16x and MR = 80, find x.
Answer:
x = - 4 or x = 20
Step-by-step explanation:
Given R is the midpoint of AM, then
RA = MR , substitute values
x² - 16x = 80 ( subtract 80 from both sides )
x² - 16x - 80 = 0 ← in standard form
(x - 20)(x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 20 = 0 ⇒ x = 20
x + 4 = 0 ⇒ x = - 4
The average hoverboard has a maximum speed of 8 miles per hour. How
many hours would it take Mr. Grigorian to get to school if he lives 18
miles away?
what are the common multiples of 8 and 12?
Answer:
common multiples: 24, 48, 72, 96
Answer:
common multiples include 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96.
or 12, 24, 36, 48, 60, 72, 84, 96.
Step-by-step explanation:
2/3x = 6
A. x = 9
B. x = 4
C. x = 18
D. x = 12
Answer:
x = 9
Step-by-step explanation:
2/3x = 6
Multiply each side by 3/2
3/2 * 2/3x = 6 * 3/2
x = 18/2
x = 9