The solution to the equation 4q = 52 is q = 13. We obtained this solution by dividing both sides of the equation by 4, which allowed us to isolate the variable q.
To solve the equation 4q = 52:
Step 1: We need to isolate the variable q on one side of the equation, so we will divide both sides by 4.
4q/4 = 52/4
q = 13
Step 2: We have now solved for q and obtained the value of 13.
Step 3: To check our solution, we substitute q = 13 back into the original equation.
4(13) = 52
This is a true statement, so our solution is correct.
Therefore, the solution to the equation 4q = 52 is q = 13. We obtained this solution by dividing both sides of the equation by 4, which allowed us to isolate the variable q. To check our solution, we substituted q = 13 back into the original equation and verified that it is true.
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Can u please help me with part b I will pick the best one
Answer:
(1. 7x10^4)=10x10x10x10x1.7=17,000
(8.5x10^-2)= 10x-10x8.5= -850
17,000 -850= 16,150
Step-by-step explanation:
someone help 6th grade math i will give brainliest
Answer:
decimal 0.13
percent is 13
Step-by-step explanation:
Answer:
Decimal: 13
Percent: 13%
Step-by-step explanation:
Sorry if it wrong
AABC and ADEF are similar. The lengths of AB and AC are 5 units each, and the length of BC is 6 units.
If the length of EF is 3 units, then the length of DE is
units. If m/ABC is 53°, then mZEDF is
rights reserved.
o search
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77°F Sunny
The length of DE is 3 units, and the measure of ∠ZEDF is 53°.
Let's analyze the given information and use the properties of similar triangles to find the length of DE and the measure of ∠ZEDF.
First, since triangles AABC and ADEF are similar, we know that their corresponding sides are proportional.
Using the given lengths, we have:
AB/DE = AC/EF = BC/DF
Substituting the known values:
5/DE = 5/3 = 6/DF
Cross-multiplying, we get:
5 \(\times\) 3 = 5 \(\times\) DE
15 = 5 \(\times\) DE
Dividing both sides by 5, we find:
DE = 15/5 = 3 units
Therefore, the length of DE is 3 units.
Now, let's find the measure of ∠ZEDF.
Since ∠ABC and ∠DEF are corresponding angles in similar triangles, they have the same measure.
Given that m/ABC is 53°, we can conclude that m/DEF is also 53°.
Hence, the measure of ∠ZEDF is 53°.
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Need help with this ASAP!!
Answer:
64
Step-by-step explanation:
40x1.6
Find the volume of radius 7 cm in diameter of 12 cm in 3.14
The volume of a sphere with a radius of 7 cm (or diameter of 12 cm) is 904.32 cubic centimeters.
To find the volume of a sphere with a radius of 7 cm, we can use the formula:
V = (4/3) * π * r^3
where V represents the volume and r represents the radius. However, you mentioned that the diameter of the sphere is 12 cm, so we need to adjust the radius accordingly.
The diameter of a sphere is twice the radius, so the radius of this sphere is 12 cm / 2 = 6 cm. Now we can calculate the volume using the formula:
V = (4/3) * π * (6 cm)^3
V = (4/3) * 3.14 * (6 cm)^3
V = (4/3) * 3.14 * 216 cm^3
V = 904.32 cm^3
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The cost of a pair of pants was reduced from $50 to $40. By what percent did the cost of the pair of pants decrease? 2% 10% 20% 40%
Answer:
C. 20%
Step-by-step explanation:
50*2=100
40*2=80
100-80=20
A percentage is a number or ratio that represents a fraction of 100.
The percentage decrease in the cost of the pair of pants is 20%.
What is a percentage?A percentage is a number or ratio that represents a fraction of 100.
Example:
50% = 50/100 = 1/2
10% = 10/100 = 1/10
25% = 25/100 = 1/4
20% = 20/100 = 1/5
We have,
The initial cost of pair of pants = $50
The final cost of pair of pants after reduced = $40
The percentage decrease in the cost of pair of pants:
= [( Initial cost - Final cost ) / Initial cost] x 100
= [(50 - 40) / 50] x 100
= (10/50) x 100
= 20%
Thus,
The percentage decrease in the cost of the pair of pants is 20%.
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Please help fast Prefer A Expert or Above to Help Me out it’s the bottom one!
The value is approximate.
==========================================================
Explanation:
Focus on the upper triangle.
Label the unknown horizontal side as y
Use the pythagorean theorem to solve for y
a^2+b^2 = c^2
10^2 + y^2 = 26^2
100+y^2 = 676
y^2 = 676-100
y^2 = 576
y = sqrt(576)
y = 24
-----------
Now move to the bottom triangle
With respect to the reference angle, the side y = 24 is opposite this. The hypotenuse is unknown.
Use the sine rule to connect the two and solve for x
sin(angle) = opposite/hypotenuse
sin(32) = y/x
sin(32) = 24/x
x*sin(32) = 24
x = 24/sin(32)
x = 45.2899179551967 which is approximate
x = 45 rounding to the nearest whole number
Side x is approximately 45 cm long.
Note: make sure your calculator is in degree mode.
evelyn wants to estimate the proportion of people who own a tablet computer. a random survey of individuals finds a 95% confidence interval to be (0.62,0.78). what is the correct interpretation of the 95% confidence interval? select the correct answer below: we estimate with 95% confidence that the sample proportion of people who own a tablet computer is between 0.62 and 0.78. we estimate with 95% confidence that the true population proportion of people who own a tablet computer is between 0.62 and 0.78. we estimate that 95% of the time a survey is taken, the proportion of people who own a tablet computer will be between 0.62 and 0.78.
The correct interpretation of the 95% confidence interval is: "We estimate with 95% confidence that the true population proportion of people who own a tablet computer is between 0.62 and 0.78."
This means that if we were to repeat the survey many times and construct a confidence interval for each sample, 95% of those intervals would contain the true proportion of people in the population who own a tablet computer. The interval (0.62, 0.78) is the range of values that is likely to contain the true population proportion with 95% confidence, based on the sample data.
Hence, the correct interpretation of the 95% confidence interval is:
"We estimate with 95% confidence that the true population proportion of people who own a tablet computer is between 0.62 and 0.78."
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Brynn rides her bike 84 miles in 4 hours.
a. Create a ratio of Brynn's miles per hour.
Answer:
21:1
Step-by-step explanation:
84 / 4=21
So you have a 45 45 right triangle you know that one of the sizes 1/6 and the other one is unknown and and you know that the hypotenuse would be equal to the cot a and b What is the hypotenuse?
The length of the hypotenuse is 1.
We have,
Let's denote the unknown leg of the right triangle as x.
Since we have a 45-45-90 triangle, we know that the two legs are congruent.
So,
We can set up the following equation:
1/6 = x/c, where c is the length of the hypotenuse.
To solve for c, we can cross-multiply:
x = 1/6 x c
c = 6x
Now, we also know that the hypotenuse is equal to the cotangent of both angles a and b.
Since the two acute angles in a 45-45-90 triangle are congruent, we only need to find the cotangent of one of the angles.
The cotangent of an angle is equal to the ratio of the adjacent side to the opposite side.
In a 45-45-90 triangle, the two legs are congruent, so the adjacent and opposite sides are equal.
So, the cotangent of each acute angle is equal to 1.
So we have:
c = cot(a) = cot(b) = 1
Substituting this value of c into the equation we found earlier:
6x = 1
x = 1/6
Now,
The length of the hypotenuse is:
c = 6x = 6(1/6) = 1
Thus,
The length of the hypotenuse is 1.
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Can someone pls help me it would mean a lot
The position where where angle, θ would be located is at: angle F (∠F).
What is a right angle?A right angle can be defined as a type of angle that is formed by the intersection of two (2) straight lines at 90 degrees. This ultimately implies that, a right angle has a measure of 90 degrees.
Additionally, all right angles are are formed as a linear pair and they are marked with a right angle symbol.
In conclusion, the measure of the angle in this right angle triangle would be calculated by using the tangent function as follows:
Tanθ = Opposite side/Adjacent side
Tanθ = 6/4
Angle, θ = tan⁻¹(6/4)
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Chan Resources incurred $280,000 of research and development costs to develop a product for which a patent was granted on January 2, 2014. Costs associated with obtaining the patent totaled $97,000. On March 31, 2020, Chan paid $180,000 for legal fees in a successful defense of the patent. The total amount capitalized for the patent through March 31, 2020 should be
The total develop a product amount capitalized for the patent through March 31, 2020, is $557,000.
To the total amount capitalized for the patent through March 31, 2020, the research and development costs, the costs associated with obtaining the patent, and the legal fees for defending the patent.
The research and development costs incurred by Chan Resources to develop the product amount to $280,000. These costs are eligible for capitalization.
The costs associated with obtaining the patent total $97,000. These costs are also eligible for capitalization.
The legal fees paid for the successful Defense of the patent amount to $180,000. These fees are considered direct costs of maintaining and defending the patent and are also eligible for capitalization.
To calculate the total amount capitalized for the patent through March 31, 2020,
Research and development costs: $280,000
Costs associated with obtaining the patent: $97,000
Legal fees for defense: $180,000
Total amount capitalized for the patent through March 31, 2020:
$280,000 + $97,000 + $180,000 = $557,000
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4cm
12cm
5cm
Find the volume of the prism.
Answer:
240
Step-by-step explanation:
Answer:
240cm^3
Step-by-step explanation:
5*4=20
20*12=240
In C and Unix, Write a function float binomialDistribution(int K, int n, float p) that returns the probability of K
successes in n trials where p is the probability of success of an individual trial. The function should
be called from main which will ask user to input these three parameters.
(Hint: The probability can be computed using the probability mass function as given below:
f(k,n,p) = (n k)pk (1-p)n-k
for k = 0,1,2,...,where
(n k)= n!/k!(n-k)!
Input:
Enter k value: 4
Enter n value: 6
Enter p value: 0.3
Output:
The answer is 0.059535
Given the input example you provided (K = 4, n = 6, p = 0.3), the output will be "The answer is 0.059535".
Here is an example of how you can implement the `binomialDistribution` function in C to calculate the probability of K successes in n trials with a given probability of success p:
```c
#include <stdio.h>
// Function to calculate the binomial distribution probability
float binomial Distribution(int K, int n, float p) {
int i;
float result = 1.0;
// Calculate the binomial coefficient (n k)
for (i = 1; i <= K; i++) {
result *= (n - i + 1);
result /= i;
}
// Multiply by p^K and (1 - p)^(n - K)
result *= pow(p, K) * pow(1 - p, n - K);
return result;
}
int main() {
int K, n;
float p, probability;
// Input values from the user
printf("Enter k value: ");
scanf("%d", &K);
printf("Enter n value: ");
scanf("%d", &n);
printf("Enter p value: ");
scanf("%f", &p);
// Calculate the binomial distribution probability
probability = binomialDistribution(K, n, p);
// Print the result
printf("The answer is %f\n", probability);
return 0;
}
```
In this example, we define the `binomialDistribution` function that takes three parameters: K (number of successes), n (number of trials), and p (probability of success). The function calculates the binomial coefficient (n k) and multiplies it by p^K and (1 - p)^(n - K) to obtain the probability.
In the `main` function, we prompt the user to input the values of K, n, and p. Then, we call the `binomialDistribution` function with these values and store the result in the `probability` variable. Finally, we print the result to the console.
Given the input example you provided (K = 4, n = 6, p = 0.3), the output will be "The answer is 0.059535".
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In a family with 7 children, excluding multiple births, what is the probability of having 7 boys? Assume that a girl is as likely as a boy at each birth. Let E be the event that the family has 7 boys, where the sample space S is the set of all possible permutations of girls and boys for 7 children. Find the number of elements in event E, n(E), and the total number of outcomes in the sample space, n(S). n(E) = n(S)=
The probability of having 7 boys in a family with 7 children is 1 out of 128, as there is only one favorable outcome out of 128 total possible outcomes.
To find the probability, we need to calculate n(E) and n(S).
In this case, event E represents the scenario where all 7 children are boys. The sample space S consists of all possible permutations of boys and girls for the 7 children, which is 2^7 = 128.
This is because each child has 2 possibilities (boy or girl), and we multiply these possibilities for all 7 children.
Since event E includes only one specific outcome (all boys), n(E) is equal to 1. Therefore, both n(E) and n(S) are 1 and 128, respectively. The probability of having 7 boys is given by n(E)/n(S) = 1/128.
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Will the product of negative 1/3 ⁵⁰ B positive or negative? How do you know?
the product of negative 1/3 ⁵⁰
The expression is :
\((-\frac{1}{3})^{50}\)Since the product of negative to negative is positive
and negative x negative x negative = negative
Thus, if we multiply the negative upto odd number times the resultant will be negative
if we multiply the negative upto even number times the resultant will be positive
In the given expression we multiply (-1/3) upto 50 times
50 is the even number so the the resultant value will be positive
Answer : Positive
becasue if we multiply the negative upto odd number times the resultant will be negative & if we multiply the negative upto even number times the resultant will be positive
J(-3, 8) K(-3, -1) L(4, -1) and M(4, 8)
PLEASE 16 POINTS I WILL GIVE BRAINLEST 5 STARS THANK YOU PLEASE PLEASE I NEED HELPPPPPPPPPPPPPP
Answer:
Step-by-step explanation:
draw the dots where the coordinates for each letter align.
Method: start with x. move your finger how many spaces the first number sys across the X line do the same for y, but up and down.
then just draw a dot where it ends at.
repeat this process until the polygon is complete.
trace a line from each dot like connect the dots.
Hope this helped!
Answer:
All u do is graph it I will attach attachment
Step-by-step explanation:
Can someone please help
Answer:
10.) If you buy all larger cans (aka the 7-gallon cans), you would have saved approx. $30.21
9.) Seth would need a score of 95% in order to average an 80%
Step-by-step explanation:
10.) It costs $15.50 per 5-gal. If you want to buy 45 gallons, it would cost you $139.50 if you bought 5-gallon cans.
It costs $17.00 per 7-gallon. If you want to buy 45 gallons, it would cost you $109.29 if you bought 7-gallon cans.
Now, let's compare prices. Buying 45 gallons worth of 7-gallon cans is less expensive by.... (139.50 - 109.29 = 30.21)
Therefore, you saved $30.21.
9.) An average is done by adding up all the numbers and dividing it by how many numbers you added it by. Let's write an equation to make things easier. So far, we don't know the score he needs to get on his fourth test so let's make it a variable x.
(82 + 68 + 75 + x) / 4 = 80
Let's solve for x.
(82 + 68 + 75 + x) / 4 = 80 *Multiply both sides by 4
82 + 68 + 75 + x = 320 *Add like terms
225 + x = 320 *Subtract 225 from boths to get x on one side
x = 95
Exercise 10
You randomly choose one of the tiles. Without replacing the first tile, you choose a second tile. What is the probability of the compound event? Write your answer as a fraction or percent rounded to the nearest tenth.
The probability of choosing a 5 and then a 6 is 1/49
Finding the probability of the compound eventFrom the question, we have the following parameters that can be used in our computation:
The tiles
Where we have
Total = 7
The probability of choosing a 5 and then a 6 is
P = P(5) * P(6)
So, we have
P = 1/7 * 1/7
Evaluate
P = 1/49
Hence, the probability of choosing a 5 and then a 6 is 1/49
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Question
You randomly choose one of the tiles. Without replacing the first tile, you choose a second tile. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth. The probability of choosing a 5 and then a 6
An advertisement firm reports that the proportion of consumers who respond favorably to a certain advertisement is 0.70. Three simulations, A, B, and C, were designed to create a sampling distribution of a sample proportion from a population with proportion 0.70. Each simulation consisted of 2,500 trials. For each trial of a simulation, a sample of size n was selected at random, and the sample proportion was recorded. The value of n varied among the simulations. The following histograms summarize the results of the simulations. Simulation A Relative Frequency 0.50 0.60 0.70 0.80 0.90 Relative Frequency 0.68 0.72 0.69 0.70 0.71 Simulation C Relative Frequency 0.60 0.65 0.70 0.75 0.80 .Which of the following lists the simulations in order from the least sample size n to the greatest sample size n ? A) Simulation A, simulation B, simulation C B) Simulation A, simulation C, simulation B C) Simulation B, simulation A, simulation C Simulation B, simulation C, simulation A D) Simulation C, simulation A, simulation B
Based on this information, we can conclude that the order of simulations from the least sample size (n) to the greatest sample size (n) is:
C) Simulation B, simulation A, simulation C
Based on the given information, we can determine the order of simulations from the least sample size (n) to the greatest sample size (n) by examining the histograms.
Looking at the histograms, we can see that the relative frequencies for each simulation are centered around the population proportion of 0.70.
However, we need to consider the relative frequencies that are closest to 0.70, as they indicate the simulations with sample sizes closest to the population size.
Comparing the histograms, we can see that the relative frequency closest to 0.70 in Simulation A is 0.69. In Simulation C, the relative frequency closest to 0.70 is also 0.70.
However, in Simulation B, the relative frequency closest to 0.70 is 0.80.
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5. Find the Fourier coefficients of the periodic ( -5 to 5) function y(t) = -3 when -5
In summary, the Fourier coefficients for the periodic function y(t) = -3 on the interval -5 ≤ t ≤ 5 are:
c₀ = -3 (DC component)
cₙ = 0 for n ≠ 0 (other coefficients)
To find the Fourier coefficients of the periodic function y(t) = -3 on the interval -5 ≤ t ≤ 5, we can use the formula for Fourier series coefficients:
cn = (1/T) ∫[t₀-T/2, t₀+T/2] y(t) \(e^{(-i2\pi nt/T)}\) dt
where T is the period of the function and n is an integer.
In this case, the function y(t) is constant, y(t) = -3, and the period is T = 10 (since the interval -5 ≤ t ≤ 5 spans 10 units).
To find the Fourier coefficient c₀ (corresponding to the DC component or the average value of the function), we use the formula:
c₀ = (1/T) ∫[-T/2, T/2] y(t) dt
Substituting the given values:
c₀ = (1/10) ∫[-5, 5] (-3) dt
= (-3/10) \([t]_{-5}^{5}\)
= (-3/10) [5 - (-5)]
= (-3/10) [10]
= -3
Therefore, the DC component (c₀) of the Fourier series of y(t) is -3.
For the other coefficients (cₙ where n ≠ 0), we can calculate them using the formula:
cₙ = (1/T) ∫[-T/2, T/2] y(t)\(e^{(-i2\pi nt/T) }\)dt
Since y(t) is constant, the integral becomes:
cₙ = (1/T) ∫[-T/2, T/2] (-3) \(e^{(-i2\pi nt/T)}\) dt
= (-3/T) ∫[-T/2, T/2] \(e^{(-i2\pi nt/T)}\) dt
The integral of e^(-i2πnt/T) over the interval [-T/2, T/2] evaluates to 0 when n ≠ 0. This is because the exponential function oscillates and integrates to zero over a symmetric interval.
all the coefficients cₙ for n ≠ 0 are zero.
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Consider the system and find the eigenvalues and the eigenvectors
Eigenvalues are the special set of scalar values which is associated with the set of linear equations in matrix equations.
What are Eigenvalues?
Your information is incomplete. Therefore, an overview will be given. An eigenvector of a linear transformation is a nonzero vector that changes by a scalar factor when the linear transformation is applied to it.
The eigenvectors of matrix A are those vectors X for which multiplication by A will result in a vector in thesame direction or opposite direction to X.
Since the zero vector 0 has no direction, 0 is never allowed to be an eigenvector.
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An eigenvector of a linear transformation and eigenvectors of a system
Ax = Bx can be determined where B is an eigenvalue of A.
What are Eigenvalues?An eigenvector of a linear transformation is a nonzero vector that changes by a scalar factor when the linear transformation is applied to it.
The eigenvectors of matrix A are those vectors X for which multiplication by A will result in a vector in the same direction or opposite direction to X.
The basic equation is
Ax = Bx
here B is an eigenvalue of A.
Since the zero vector has no direction, zero is never allowed to be an eigenvector.
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How does affordance contribute to motor development?
1. Affordably presented by objects or environments, such as a ball providing the opportunity to practice grasping, throwing, and catching.
2. Individuals perceive these affordances and decide to engage with them, based on their current motor abilities and developmental stage.
3. Through interacting with affordances, individuals practice and develop their motor skills by attempting, refining, and mastering the actions associated with affordance.
Affordably is a term used to describe the relationship between an individual's perception of their environment and their ability to interact with it. In terms of motor development, affordances refer to the opportunities for movement that the environment presents. These opportunities can be both physical and social and can include objects to manipulate, spaces to explore, and people to interact with.
The concept of affordance is important for motor development because it provides children with opportunities to practice and refine their motor skills. As children explore their environment, they are able to perceive the various affordances that it presents, and they can use these affordances to develop their motor skills.
For example, a child may perceive that a box can be used as a stepping stool, and they may use this affordance to climb up onto a table. In doing so, they are developing their balance, coordination, and strength. Similarly, a child may perceive that a ball can be thrown, caught, and bounced, and they can use these affordances to develop their hand-eye coordination, spatial awareness, and timing.
Overall, affordance plays an important role in motor development by providing children with opportunities to explore and interact with their environment and to develop their motor skills in the process.
Affordance contributes to motor development by providing opportunities for individuals to interact with their environment, which in turn helps them develop and refine their motor skills. Affordance refers to the potential actions or uses that an object or environment provides to an individual. In the context of motor development, affordances can be seen as opportunities for practicing and enhancing motor abilities.
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The absolute value of three, written as |3|
Answer:
In this subtraction, PR5T and 47Y6 represent 4-digit numbers. What number does PR5T represent?
PR5T - 47Y6 = 1998
Answer:
Step-by-step explanation:
Help,, i'll mark as brainliest
The first question would be distance from the start, as it is steadily going up as time goes on.
The second question would be distance from the end, as it is steadily going down as time goes on.
The third question would be speed, as the speed is staying stable as shown by the straight lines seen within the distance from start/end graphs being linear lines.
Which equation has infinite solutions?
3(x – 1) = x + 2(x + 1) + 1
x – 4(x + 1) = –3(x + 1) + 1
2x + 3 = 2 x plus 3 equals StartFraction one-half EndFraction left-parenthesis 4 x plus 2 right-parenthesis plus 2.(4x + 2) + 2
StartFraction one-third EndFraction left-parenthesis 6 x minus 3 right-parenthesis equals 3 left-parenthesis x plus 1 right-parenthesis minus x minus 2.(6x – 3) = 3(x + 1) – x – 2
The equation that has an infinite number of solutions is \(2x + 3 = \frac{1}{2}(4x + 2) + 2\)
How to determine the equation?An equation that has an infinite number of solutions would be in the form
a = a
This means that both sides of the equation would be the same
Start by simplifying the options
3(x – 1) = x + 2(x + 1) + 1
3x - 3 = x + 3x + 2 + 1
3x - 3 = 4x + 3
Evaluate
x = 6 ----- one solution
x – 4(x + 1) = –3(x + 1) + 1
x - 4x - 4 = -3x - 3 + 1
-3x - 4 = -3x - 2
-4 = -2 ---- no solution
\(2x + 3 = \frac{1}{2}(4x + 2) + 2\)
2x + 3 = 2x + 1 + 2
2x + 3 = 2x + 3
Subtract 2x
3 = 3 ---- infinite solution
Hence, the equation that has an infinite number of solutions is \(2x + 3 = \frac{1}{2}(4x + 2) + 2\)
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Complete question
Which equation has infinite solutions?
3(x – 1) = x + 2(x + 1) + 1
x – 4(x + 1) = –3(x + 1) + 1
\(2x + 3 = \frac{1}{2}(4x + 2) + 2\)
\(\frac 13(6x - 3) = 3(x + 1) - x - 2\)
bacteria can multiply an alarming rate when each bacteria cell splits into two new cells, thus doubling. if we start with only one bacteria which doubles every hour, how many bacteria will we have after one day?
Answer:
16,777,216 bacterias.
Step-by-step explanation:
There are 24 hours in one day, and the given bacteria (1) doubles every hour.
Hour 0: 1
Hour 1: 1 x 2 = 2
Hour 2: 2 x 2 = 4
Hour 3: 4 x 2 = 8
Hour 4: 8 x 2 = 16
Hour 5: 16 x 2 = 32
Hour 6: 32 x 2 = 64
Hour 7: 64 x 2 = 128
Hour 8: 128 x 2 = 256
Hour 9: 256 x 2 = 512
Hour 10: 512 x 2 = 1,024
Hour 11: 1,024 x 2 = 2,048
Hour 12: 2,048 x 2 = 4,096
Hour 13: 4,096 x 2 = 8,192
Hour 14: 8,192 x 2 = 16,384
Hour 15: 16,384 x 2 = 32,768
Hour 16: 32,768 x 2 = 65,536
Hour 17: 65,536 x 2 = 131,072
Hour 18: 131,072 x 2 = 262,144
Hour 19: 262,144 x 2 = 524,288
Hour 20: 524,288 x 2 = 1,048,576
Hour 21: 1,048,576 x 2 = 2,097,152
Hour 22: 2,097,152 x 2 = 4,194,304
Hour 23: 4,194,304 x 2 = 8,388,608
Hour 24: 8,388,608 x 2 = 16,777,216
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Another way to do it is using exponential functions. If it doubles every hour as such: \(2^{x}\) , in which x is the amount of hours: \(2^{24} = 16777216\)
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Smith City received 2. 45 inche of rain on Monday and 1. 72 inche of rain on Tueday. Write an equation howing a way to etimate to the nearet inch the total rainfall for the two day
an equation showing a way to estimate to the neasrt inch the total rainfall for the two day 2.45 + 1.72 ≈ 4.2 inches
1. Add the two amounts of rainfall together: 2.45 + 1.72
2. Round the answer to the nearest inch: 4.2 inches
3. The equation to estimate the total rainfall for the two days is 2.45 + 1.72 ≈ 4.2 inches.
This equation provides a simple way to estimate the total rainfall for two days. By adding the two amounts of rainfall, we can then round the answer to the nearest inch to obtain the estimated total rainfall. This equation can be used to quickly and accurately estimate rainfall totals for any two-day period.
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Wendy traveled 12 miles to school in 20 minutes. What was her speed in
miles per hour?
Answer:
36 mph.
Step-by-step explanation:
Speed is a rate. It can be represented as the distance traveled/the time spent traveling.
\(s=d/t\)
In this problem, we know the distance and the time. All that needs to be done is some conversion and then plugging in.
In the problem, we know that Wendy travels 12 miles in 20 minutes. But to get her speed in miles per hour, we need to convert 20 minutes into hours.
To do this, let's set up a quick proportion. Let's call the number of hours in 20 minutes x.
I\(\frac{20minutes}{xhours}=\frac{60 minutes}{1 hour}\)
If there are 60 minutes in an hour, then there are 20 minutes in 1/3 of an hour.
Now we can plug 1/3 hours in.
\(s=\frac{12}{1/3}\)
This is the same as saying
\(s=12*3\)
\(s=36\)
what is the slope of the graph of the equation 4x - 6y=2?A.-4B.-1C.2/3D.3/2
Given:
\(4x-6y=2\)Write the abve expression in the for of y=mx+c, then m will be the slope of the equation.
\(\begin{gathered} 4x-6y=2 \\ -6y=-4x+2 \\ y=\frac{-4x+2}{-6} \\ y=\frac{2}{3}x-\frac{1}{3} \end{gathered}\)Compare the above expression with y=mx+c. The slope of the given equation is 2/3, and the correct option is option C.