The two equations that describe the time x, when 405 cells would be expected are:
5(3^x) = 405 log3(405/5) = xTo solve for x in the first equation, we can divide both sides by 5 to get:
3^x = 81
Then, we can take the log base 3 of both sides to get:
x = log3(81)
x = 4
To solve for x in the second equation, we can use the properties of logarithms to simplify:
log3(405/5) = log3(81)
x = log3(81)
x = 4
Both equations give us the same answer of x = 4, which means that after 4 hours, there would be 405 cells on the plate if the cell growth is exponential.
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y = −3x2 + 6x + 2 y = 3x + 2 solve in a system of non linear equations
Answer: x = 0, Y = 2
x = 1, Y = 5
Step-by-step explanation:
Y = −3x^2 + 6x + 2
Y = 3x + 2
We can set the two equations equal to each other, since they both equal Y:
−3x^2 + 6x + 2 = 3x + 2
−3x^2 + 3x = 0
3x(-x + 1) = 0
This gives us two possible solutions:
x = 0
x = 1
When x = 0, Y = 3(0) + 2 = 2
When x = 1, Y = 3(1) + 2 = 5
Therefore, the solutions to the system of equations are:
x = 0, Y = 2
x = 1, Y = 5
write the phase as an algebraic expression
k less than 24
Answer:
k < 24
Step-by-step explanation:
The phrase "k less than 24" can be written as an algebraic expression using the symbol "<" which means "less than."
So, "k less than 24" can be written as:
k < 24
This means that the value of "k" is smaller than 24. For example, if k = 20, then 20 is less than 24, so the statement "k < 24" is true.
If k = 30, then 30 is not less than 24, so the statement "k < 24" is false.
I hope this helps!
- Dante
PLS HELP ME OUT I CAN'T FIGURE IT OUT
Answer:
B. Vertical anglesStep-by-step explanation:
Greetings!!
Vertical angles are angles that are opposite of each other when two lines cross. Vertical angles are. congruent, meaning that they have the same angle measure. For example, angle 1 and angle 3 are vertical angles.
Also look at the image attached above
Hope it helps!!!!
The perimeter of a regular hexagon is 90 feet.
What is the area of the hexagon?
Enter your answer rounded to the nearest tenth in the box.
Answer: 584.6
Step-by-step explanation: I just took the test
find the measure of the missing angles
Answer:
b = 50°
c = 130°
Step-by-step explanation:
B
Vertical angles are congruent (have the same measurement)
C
Adjacent angles ae supplemental (add to 180°)
Answer:
b = 50°
c = 130°
Step-by-step explanation:
Assuming that the long-run demand for oranges is the same as the short-run demand, you would expect a binding price ceiling to result in a________ that is_________in the long run than in the short run.(Surplus/Shortage) (Larger/Smaller)
If the long-term demand for oranges is the same as the short-term demand, a binding price ceiling will result in a shortage that is larger in long-run demand than the short-run demand. So the answers are shortage and larger.
A shortage occurs when there is a difference between the quantity that is supplied and the quantity that is required of a product, service, or resource. Surplus is a term used to describe situations where there is more supply than demand for a product, service, or resource.
So when the long-run demand is the same as the short-run demand, binding price ceilings typically result in a shortage when there is a lack of supply of products. And, the result will be larger in the case of the long run compared to the short run. Therefore, the first blank can be filled with shortage and the second blank with larger.
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If y is inversely proportional
to x and y = 27 when x = 4,
find x when y = 8.
The value of x when y = 8 is 13.5
How to determine the value of xIf y is inversely proportional to x, it means that their product is a constant value.
We can represent this relationship using the formula:
y * x = k
where k is the constant of proportionality.
We are given that y = 27 when x = 4, so we can solve for k:
27 * 4 = k
This gives
k = 108
Now that we know the value of k, we can use it to find x when y = 8:
y * x = k
This guves
8 * x = 108
So, we have
x = 13.5
Hence, when y = 8, the value of x is 13.5.
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Find the value of x pls
Step-by-step explanation:
180-(20+x+40)
=180-(60+x)
x=180-60
=120
Enter an equation for which the solution is the spreed of the train, in miles per hour where where the train's distance from the departing station is 285 miles and it has traveled for 10 hours.
The speed of the train is 28.5 miles per hour.
According to given condition :
One possible equation to solve for the speed of the train is:
speed = distance / time
In this case, the distance is 285 miles, and the time is 10 hours. Plugging in those values, we get:
speed = 285 / 10
Simplifying this expression, we get:
speed = 28.5
Therefore, the speed of the train is 28.5 miles per hour.
What is equation ?
An equation is a mathematical statement that shows that two expressions are equal. Equations typically use variables, numbers, and mathematical operations such as addition, subtraction, multiplication, and division. The purpose of an equation is to find the value(s) of the variable(s) that make the equation true.
For example, an equation might be:
2x + 3 = 7
This equation means that if we multiply x by 2 and then add 3, we get 7. The solution to this equation is x = 2, since if we substitute x = 2 into the equation, we get:
2(2) + 3 = 7
4 + 3 = 7
7 = 7
which is true.
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what is the 58 % conversion in decimal ?
Answer: 0.58
Step-by-step explanation: ..
In the garden, the ratio of roses to daisies is 2:5. There are 40 roses. How many daisies are there?
The ratio of roses to daisies is 2:5. If there are 40 roses, then there are 100 daisies.
In the garden, the ratio of roses to daisies is 2:5. This means that for every 2 roses, there are 5 daisies. We can use this information to find the number of daisies when there are 40 roses.
Set up a proportion using the given ratio and the number of roses.
2/5 = 40/x
Cross multiply to solve for x, we get:
2 * x = 5 * 40
Then, simplify the expression:
2x = 200
Divide both sides by 2 to isolate x.
x = 100
Therefore, there are 100 daisies in the garden when there are 40 roses.
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Answer:
Step-by-step explanation:
there 2:6
What is the discount for a retail price of $892 and a discount rate of 12%
Please help me I am very confused
The solutions are x=3.69 and x=-4.2
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax2+bx+c=0. with a ≠ 0 .
2x²+x-31=0
Solve this with the quadratic formula
x=-b±√b²-4ac/2a
a=2,b=1,c=-31
x=-1±√1+248/4
x=-1±√249/4
x=-1+√249/4
x=-1 + 15.77/4 =14.77/4
x=3.6925
and x=-1-√249/4
x=-1 -15.77/4 =-4.1925
Hence, the solutions are x=3.69 and x=-4.2
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algebra 2
help it’s due at 12 i need to come up with my own stuff
The vertex form equation is illustrated below.
How to explain the equationDirectrix (d): The directrix is the horizontal line y = -2.
Focus (F): The focus is the point (0, 2).
Vertex (V): The vertex is the point (0, 0).
Equation: The equation of the parabola is y = 1/4x^2.
The vertex form of a parabola is given by y = a(x-h)^2 + k, where (h, k) is the vertex. We already know the vertex of this parabola, which is (0, 0). To find the value of a, we can use the fact that the distance between the focus and the vertex is equal to the distance between the directrix and the vertex.
The distance between the focus (0, 2) and the vertex (0, 0) is 2 units. The distance between the directrix y = -2 and the vertex (0, 0) is also 2 units. Therefore, we can say that 1/(4a) = 2, or a = 1/8.
So, the vertex form equation of the parabola is y = 1/8(x-0)^2 + 0, which simplifies to y = 1/8x^2.
Vertex: The vertex is (0, 0).
Axis of Symmetry (AOS): The axis of symmetry is the vertical line x = 0.
Domain: The domain of the parabola is all real numbers, because the parabola continues indefinitely in both directions along the x-axis.
Range: The range of the parabola is y >= 0, because the lowest point on the parabola is the vertex (0, 0).
Transformations: The only transformation applied to the basic parabola y = x^2 is a vertical compression by a factor of 1/8.
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5. A population of bumble bees starts at 20 bees in the spring. Every week, the
population of bumble bees triples. Write the geometric sequence formula and
find the number of bees after 32 weeks. Show all of your work.
After 32 weeks, the population of bumble bees will be 6.77315 x 10¹⁴ bees.
Solving for the population of bumble bees after 32 weeks:The population of bumble bees triples every week, so the common ratio is 3. The starting population is 20 bees.
The formula for a geometric sequence is:
a_n = a_1 * rⁿ⁻¹
where,
a_n = the nth term in the sequence
a_1 = the first term
r = the common ratio
n = the number of terms.
Using this formula, we can find the number of bees after 32 weeks:
a_32 = 20 * 3³²⁻¹
a_32 = 20 * 3³¹
a_32 = 6.773150 × 10¹⁴
Therefore, after 32 weeks, the population of bumble bees will be approximately 6.77315 x 10¹⁴ bees.
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How do you find a vector with two points?
Answer: To find the directional vector, subtract the coordinates of the initial point from the coordinates of the terminal point.
Step-by-step explanation:
(3x-1)(x^2+5x-4)
Find the perimeter of the rectangle.
Answer:
2(8x−5+x^2 )
Step-by-step explanation:
2(3x−1+x^2+5x−4)
2((3x+5x)+(−1−4)+x^ )
2(8x−5+x^2 )
Answer: look at the image for the answer and explanation
Step-by-step explanation:
9. If the volume is constant, the pressure of a gas in a container varies directly as the
temperature. (Temperature must be measured in kelvins (K), a unit of measurement used
in physics.). If the pressure is 8 pounds per square inch at a temperature of 500 K, what
is the pressure at a temperature of 600 K?
Answer:
the pressure at a temperature of 600 K is 9.6 pounds per square inch.
Step-by-step explanation:
If the pressure of a gas in a container varies directly as the temperature, then we can use the formula P1/T1 = P2/T2, where P1 is the initial pressure, T1 is the initial temperature, P2 is the final pressure, and T2 is the final temperature.
Using the values given in the problem, we can write:
8/500 = P2/600
Solving for P2, we get:
P2 = (8/500) * 600 = 9.6 pounds per square inch
Therefore, the pressure at a temperature of 600 K is 9.6 pounds per square inch.
How to convert teaspoons to ounces
To convert teaspoons to ounces divide the ingredient or material's volume times its density by 5.751669.
Divide the volume times the density of the substance or material by 5.751669 to convert a teaspoon measurement to an ounce.
Hence, the volume in ounces is calculated by multiplying the teaspoons by the component or material's density and dividing the result by 5.751669.
ounces = teaspoons × ingredient density / 5.751669
One-third of a tablespoon's volume is represented by a teaspoon. Although a teaspoon is roughly equivalent to 4.9 millilitres, on nutrition labels, a teaspoon is actually equal to 5 millilitres.
The teaspoon is a common volume measurement in the US. Teaspoons can be written as tsp, although they can also be spelled as t, ts, or tspn.
One ounce is equal to 1/16 of a pound in terms of mass/weight. The troy ounce, which is equivalent to 1/12 of a troy pound, should not be confused with the common ounce.
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When filling out a W-4 form, in what situation would a teen want to claim exemption from federal income taxes being withheld from their paycheck? What is the benefit of doing so?
The benefit of doing so is: If the teenager has earned less than $12,000 then they don't get the federal taxes withheld. It would be beneficial to the teen because they would get more money.
A teen might want to claim exemption from federal income taxes being withheld from their paycheck if they expect to earn less than the standard deduction amount for the tax year and they will not owe any federal income tax.
For the tax year 2022, the standard deduction amount for a single taxpayer who is not claimed as a dependent on another taxpayer's return is $12,950.
By claiming exemption from federal income taxes, the teen would have more money in their paycheck and would not have to wait to receive a tax refund when they file their tax return at the end of the year.
However, if the teen ends up earning more than the standard deduction amount or if they have other sources of taxable income, they may owe federal income tax and may have to pay a penalty for not having enough taxes withheld during the year.
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What are the steps you take to find the área of a compound figure?
How do you show your work when finding area of compound figure?
Answer:
1. Divide the compound figure into parts whose areas can be calculated. These parts must be simple shapes such are rectangles, triangle, circles, etc. for which there is a formula, and the dimensions (length, width, height, radius, etc.) must be shown or can be calculated.
2. Calculate the area of each part.
3. Add all areas together.
A rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 32ft long and 26ft wide.
Find the area of the garden. Use the value 3.14 for pi, and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
Using 3.14 for π, we have:
[tex]32(26) + \frac{1}{2} (3.14)( {13}^{2} ) = 1097.33[/tex]
about 1,097.33 square feet
To estimate the amount of lumber in a tract of timber, an owner randomly selected seventy 50-by-50-foot squares, and counted
the number of trees with diameters exceeding 12 inches in each square. The data are listed here.
O
Relative Frequency
Relative Frequency
7
9
2
11
9
7
X+S
9
0. 40
0. 35
0. 30
0. 25
0. 20
0. 15
0. 10
0. 05
0. 40
0. 35
0. 30
0. 25
0. 20
0. 15
0. 10
0. 05
8
x + 2s
9
x + 3s
H
Need Help?
7 4 8 10
1
6
5
10
8
748
10 8
USE SALT
5. 526
8
4
9
8
7
(a) Construct a relative frequency histogram to describe the data.
Frequency of lumber
5
Interval
Read It
3. 382 to 11. 961
6
06 9
11 10 11 8 8 10 8 8 12
1. 237 to 14. 106
7
7
11
8 8 10
9
9560
Frequency of lumber
L
77
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14
amount of lumber
7 8
to 9. 816
7 7
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14
amount of lumber
7 7
10 10 7 4 8 7
(c) Calculates for the data. (Round your answer to three decimal places. )
S = 2. 145
✔timber trees
(b) Calculate the sample mean x as an estimate of μ, the mean number of trees for all 50-by-50-foot squares in the tract.
(Round your answer to three decimal places. )
X = 7. 671
timber trees
Construct the intervals x ±s, x ± 2s, and X + 3s. Calculate the percentage of squares falling into each of the three intervals,
and compare with the corresponding percentages given by the Empirical Rule and Tchebysheff's Theorem. (Round your
interval values to three decimal places. Round actual percentages to two decimal places. )
Actual Percentage
Relative Frequency
X %
Relative Frequency
X %
0. 40
0. 35
0. 30
0. 25
0. 20
0. 15
0. 10
0. 05
X %
0. 40
0. 35
0. 30
0. 25
0. 20
0. 15
0. 10
0. 05
Frequency of lumber
7
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14
amount of lumber
Frequency of lumber
at least 0
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14
amount of lumber
Tchebysheff
at least 75%
at least 89%
%
95
Empirical
≈ 68%
≈ 99. 7%
%
The amount of lumber in a tract of timber, an owner randomly selected seventy 50-by-50-foot squares, and counted the number of trees with diameters exceeding 12 inches in each square is 16.67
In order to estimate the amount of lumber in a tract of timber, an owner will use a technique called sample size estimation.
By using this data, the owner can then calculate an estimate of the total amount of lumber present in the tract of timber.
In this case, the sample size is 70, the square size is 2500 square feet, and the diameter of the trees is 12 inches. Therefore, the formula becomes:
=> Total Trees = (Number of Trees in Sample / 70) x (2500 / 12).
If we plug in the number of trees counted in each square, we can find the total estimated number of trees in the tract of timber.
If the owner counted 7 trees in the first square, the formula would be
=> (7 / 70) x (2500 / 12) = 16.67.
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Complete Question:
To estimate the amount of lumber in a tract of timber, an owner randomly selected seventy 50-by-50-foot squares and counted the number of trees with diameters exceeding 12 inches in each square. The data are listed here.
7 9 8 10 3 7 7 9 9 11 7 9 5 5 10 10 9 8 2 8 5
A square lawn with a side length of 15 yards has a square shed built near the back, which has a side length of x yards. What are the factors that represent the
area of the yard that can be mowed?
xn
The factor that represents the area of the yard that can be mowed is (225 - x²).
What is area?
An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure.
The total area of the lawn is given by the formula -
Area of square lawn = (side length of square lawn)²
= (15 yards)²
= 225 square yards
The shed is also a square, with side length x yards.
So, the area of the shed is -
Area of square shed = (side length of square shed)²
= x²
To find the area of the yard that can be mowed, we need to subtract the area of the shed from the total area of the lawn -
Area of yard that can be mowed = Area of square lawn - Area of square shed
= 225 - x²
Therefore, the value is obtained as (225 - x²).
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how to convert ml in liter
The conversion from mililitres to litre will be done using the relation between the two, where 1 liter has 1000 mililitres.
Firstly know the abbreviations. In this question, ml represents mililitres. Now, The mentioned problem is from unit conversion. As we know the relation, that one litre contains 1000 milliliters of any fluid. So, this is the method of conversion from mililitres to litre.
We can understand given conversion through example. Let us say Zainab has a bottle of 2000 mililitres. Now how many litres of liquid can this bottle contain?
1000 mililitres is present in 1 liter
So, 2000 mililitres will contain = 2000/1000
Performing division
2,000 mililitres will contain 2 litre liquid.
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Solve the following word problem.
1. Mikey worked on her mathematics homework for 3/4 hour and her science
homework for 7/8 hour. How long did she spend in all doing homework?
2. There are 60 students in a class. Three-fourths of them are girls. How many
boys are there?
3. One day in Baguio, the temperature went from - 2 °C to 8°C. What is the
change in temperature?
4. The elevation of Mt. Everest is 29 028 ft. The elevation of the Dead Sea is -485
ft. Find the difference in the elevation between Mt. Everest and the Dead Sea.
1
5. Angie cleans 3 of the yard. Alex cleans 4 of the remaining. What fraction of
the yard is left unclean?
Answer:
Listed below
Step-by-step explanation:
1. To solve number 1 we need to find a common denominator.
What is a common denominator?A common denominator consists of two or more fractions that have the same denominator.
[tex]\frac{3}{4} =\frac{6}{8}[/tex]
How can we convert this? Well, to go from 4 to 8, we multiply by 2. Doing the same to the top number (Numerator) will get us a fraction of [tex]\frac{6}{8}[/tex].
Adding the two fractions together:
[tex]\frac{7}{8} +\frac{6}{8}= \frac{13}{8} or1 \frac{5}{8}[/tex]
Therefore, the answer to question 1 is [tex]1\frac{5}{8}[/tex].
2. If there are 60 students in a class, and [tex]\frac{3}{4}[/tex] of them are girls, we can use this equation to solve for the number of girls in the class:
60 × 0.75 = 45Why do we multiply by 0.75?We multiply by 0.75 because 0.75 is equivalent to [tex]\frac{3}{4}[/tex].
So, there are 45 girls in the class.
To solve for the rest of the class that are boys, we can use this equation:
60 - 45 = 15The answer to question 2 is 15 boys.
3. If the temperature was -2°C, and it is now 8°C, we can use this equation to solve for the temperature difference:
-2 + 10 = 8So, the temperature difference is 10°C.
4. If Mt. Everest's elevation is at 29,028 feet, and the dead sea is -458, we can use this equation to solve for the difference in elevation:
29,028 + 458 = 29,486Therefore, the difference in elevation is 29,486 feet.
[tex]1/p^2q^-4r^9[/tex]
Hyo can type 200 words in 5 minutes. How long would it take Hyo to type a 500-word paper?
Please help me solve this problem ASAP
Answer:
In the triangle we are given Angle A,B andC
a) To find the value of x we will say
angle A + angle B + angle C = 180(sum of angles in triangle add up to 180)
35 + 52 + 3(x+2) = 180
87 + 3x + 6 = 180
3x + 93 = 180
3x = 180 - 93
3x = 87
x = 29
b) To find the measure for angle C we need to substitute the value of x
angle c = 3(x+2)
= 3(29+2)
= 3(31)
= 93
what does a rhombus look like
A rhombus with opposite sides are parallel and equal, and opposite angles are equal looks like Diamond.
A closed two-dimensional plane figure is a rhombus. It is regarded as a peculiar parallelogram, and due to its distinctive characteristics, it acquires a distinct identity as a quadrilateral. Due to its equal length sides, a rhombus is also known as an equilateral quadrilateral. The name "rhombus" is derived from the Greek word "rhombos," which really refers to a spinning object.
Due to the fact that it is a quadrilateral with two pairs of parallel sides, a rhombus can be considered a particular parallelogram. A rhombus also has equal sides on all four sides, exactly like a square. Because of this, it is often referred to as a tilted square. To comprehend the relationship between the rhombus shape, parallelogram, and square, look at the graphic below.
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