Solve: log (7t + 2) = 2
t =​

Answer:

623.

Step-by-step explanation:

Answer:

i am sure that the answer is 623

Answer:

q=12.5

Step-by-step explanation:

Divide each term by 0.5 and simplify

Answer:

12.5

Step-by-step explanation:

0.5q = 6.25

/0.5        /0.5

q = 12.5

Answer:

C

Step-by-step explanation:

We know that people who have high salaries can afford expensive cars. But they cannot get wealthier by just driving expensive cars. Common sense.

Answer:

4.592 is greater

hmm.

ok

Answer:

4.524

Step-by-step explanation:

To use the splitpts function in Matlab, you will first need to define two sets of points with different arrays for each set. Then, you can use the syntax newSetOfPoints = splitpts(originalSetOfPoints) to split the original set of points into two new sets.

The "splitpts" function in MATLAB is used to split a set of points into two sets based on a specified split point. Here are the steps to use this function:

1. Define the set of points you want to split. For example:
```
points = [1 2 3 4 5 6 7 8 9 10];
```

2. Specify the split point. This can be any number between the minimum and maximum values of the set of points. For example:
```
splitPoint = 5;
```

3. Use the "splitpts" function to split the set of points into two sets. The first set will contain all the points less than or equal to the split point, and the second set will contain all the points greater than the split point. For example:
```
[set1, set2] = splitpts(points, splitPoint);
```

4. The resulting sets will be stored in the variables "set1" and "set2". You can display these sets using the "disp" function:
```
disp(set1);
disp(set2);
```

The output will be:
```
1 2 3 4 5
6 7 8 9 10
```

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Using the fraction model, Emma made a mistake by adding 5 and 3 to get 8/100, instead of 3/100 + 5/10 = 53/100.

Fractions can be referred to as a part of a whole number.

The following are the information given that was omitted:

1 grid having 10 equal columns. 5 are shaded.

This can be expressed as a fraction, as 5/10.

Another identical grid shows, 100 squares with 3 of them shaded, which can be represented in fraction, as 3/100.

The model for the addition problem would be solved as:

3/100 + 5/10 = 53/100

Therefore, using the fraction model, Emma made a mistake by adding 5 and 3 to get 8/100, instead of 3/100 + 5/10 = 53/100.

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Answer:

it is 2 minus six

2-6

Step-by-step explanation:

hdgeheksdiddh

Answer:

-27/64

Step-by-step explanation:

Exact form

-27/64

Decimal Form

-0.421875

Answer:

the answer is no solution

To solve the initial value problem y'' - 2y' - 3y = 0, with y(0) = 1 and y'(0) = 2, we can use the method of Laplace transforms.

First, we take the Laplace transform of the given differential equation to obtain an algebraic equation in terms of the Laplace transform of the unknown function y(t). Then, we solve the algebraic equation for the Laplace transform of y(t) using standard algebraic techniques. Finally, we take the inverse Laplace transform to obtain the solution y(t) in the time domain.

Applying the Laplace transform to the given differential equation, we have s²Y(s) - sy(0) - y'(0) - 2(sY(s) - y(0)) - 3Y(s) = 0, where Y(s) represents the Laplace transform of y(t). Simplifying this equation, we get (s² - 2s - 3)Y(s) - (s - 2) = s²Y(s) - 3s - 4. Rearranging the equation, we have Y(s) = (s - 2) / (s² - 2s - 3).

To solve this equation for Y(s), we can decompose the expression into partial fractions, which yields Y(s) = 1 / (s - 3) - 1 / (s + 1). Taking the inverse Laplace transform of Y(s), we obtain y(t) = e^(3t) - e^(-t), which is the solution to the initial value problem.

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The  percent of phones have a battery life less than 5 hours or greater than 5.5 hours is 52.27%.

A z-score, also known as a standard score, provides information on how far a data point is from the mean. Technically speaking, however, it's a measurement of how many standard deviations a raw score is from or above the population mean.

You can plot a z-score on a normal distribution curve. The range of Z-scores ranges from -3 standard deviations (which would be on the far left of the normal distribution curve) to +3 standard deviations (which would fall to the far right of the normal distribution curve). You must be aware of the mean and population standard deviation in order to use a z-score.

Given the talk time battery life of a group of cell phones

Mean = μ = 5 hours

standard deviation = σ = 15 minutes = 0.25 hours

to calculate P(5 > x > 5.5)

formula for z score is

z = (x - μ)/σ

x = 5

z = (5 - 5)/.25

z = 0

P-value from Z-Table:

P(x < 5) = 0.5

P(x > 5) = 1 - P(x<5) = 0.5

at x= 5.5

z = (5.5 - 5)/.25

z = 2

P-value from Z-Table:

P(x < 5.5) = 0.97725

P(x > 5.5) = 1 - P(x < 5.5) = 0.02275

P(5 < x < 5.5) = P(x < 5.5) - 0.5 = 0.47725

for P(5 > x > 5.5) = 1 - P(5 < x < 5.5) = 1 -0.47725

P(5 > x > 5.5) = 0.52275

percent = 0.52275 x 100 = 52.27%

Hence the percent at   P(5 > x > 5.5) is 52.27%.

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Answer:

Step-by-step explanation:

Answer:

the x is 5

Step-by-step explanation:

x=5y+20:

x=5y+20

x=(5)(-3)+20

x=5 (simplify boy sides of the equation)

At least 11 students must take the quiz to assure that at least two have exactly the same answers to all five questions.

Determining the minimum number of students required to guarantee that at least two students have the same answers to all five questions on a multiple choice quiz. Under the area of probability and combinatorics.

There are 4 possible answers for each of the 5 questions, so there are a total of \(4^5 = 1024\) possible sets of answers.

Let's consider the opposite scenario where no two students have exactly the same answers to all five questions. In this case, the first student can choose any of the 1024 possible sets of answers. The second student must choose a different set of answers from the first student, so there are 1023 possible sets of answers for the second student. Similarly, the third student must choose a different set of answers from the first two students, so there are 1022 possible sets of answers for the third student. Continuing in this way, the nth student has 1025-n possible sets of answers to choose from.

Therefore, the total number of possible sets of answers for n students is the product of the number of possible sets of answers for each student:

1024 × 1023 × 1022 × ... × (1025-n)

We want to find the minimum value of n such that this product is less than 1024, because that is the maximum number of sets of answers possible. That is, we want to solve the inequality:

1024 × 1023 × 1022 × ... × (1025-n) < 1024

To simplify this expression, notice that each term in the product is very close to 1024, which suggests that we can approximate the product as \(1024^n\). This approximation is valid when n is much smaller than 1024, which is the case here.

Using this approximation, we can rewrite the inequality as:

\(1024^n\)< 1024

Taking the logarithm base 2 of both sides, we get:

n < log2(1024) = 10

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Answer:

x = 8

Step-by-step explanation:

:)

Answer:

8

Step-by-step explanation:

I believe one of the rules of angles states that angle (4x-6) = angle (7x-30).

so 4x-6 = 7x-30

moving like terms together,

7x-4x = -6 + 30

3x = 24

x = 24/3

x = 8

Answer:

392/100 X 109 = 427.28

427.28/100 X 97 = 414.4616

414.46

Answer:

766

Step-by-step explanation:

Answer:

the other person's right

The transformation of System A into System B is:

Equation [A2]+ Equation [A 1] → Equation [B 1]"

The correct answer choice is option D

How can we transform System A into System B?

To transform System A into System B as 1 × Equation [A2] + Equation [A1]→ Equation [B1] and 1 × Equation [A2] → Equation [B2].

System A:

-3x + 4y = -23 [A1]

7x - 2y = -5 [A2]

Multiply equation [A2] by 2

14x - 4y = -10

Add the equation to equation [A1]

14x - 4y = -10

-3x + 4y = -23 [A1]

11x = -33 [B1]

Multiply equation [A2] by 1

7x - 2y = -5 ....[B2]

So therefore, it can be deduced from the step-by-step explanation above that System A is ultimately transformed into System B as 1 × Equation [A2] + Equation [A1]→ Equation [B1] and 1 × Equation [A2] → Equation [B2].

The complete image is attached.

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1/4 is a division expression and also a quotient of 1/4.

Badru is correct.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

1/4

This is in the form of a ÷ b.

a ÷ b = a/b

This is a division problem and also a quotient problem.

Example:

5 ÷ 2

= 5/2

= 2.5

5 ÷ 2 is a division expression and 2.5 is the quotient of 5 ÷ 2.

Thus,

Badru is correct.

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The complete question is:

Darius says that 1/4 is a division expression and is not a quotient. Badru says that 1/4 is a division expression and is also the quotient of 1/4. Who is correct? Explain.

Answer:

The volume of a cylinder is given by the formula V = πr²h, where r is the radius of the base and h is the height of the cylinder. Since the volume of oil in the tank is directly proportional to the depth of the oil, we can calculate the amount of oil left in the tank when it is 3 feet deep using a simple ratio.

First, we need to convert the tank's capacity from gallons to cubic feet because our measurements are in feet. According to the U.S. liquid gallon to cubic foot conversion, 1 gallon is approximately 0.133681 cubic feet. So, the tank's total volume in cubic feet is 620 gallons * 0.133681 cubic feet/gallon.

Let's denote the total volume of the tank as V_total and the remaining volume when the tank is 3 feet deep as V_remaining.

V_total = 620 * 0.133681 cubic feet.

Given that the total height (h_total) of the tank is 8 feet and the remaining height (h_remaining) is 3 feet, we can set up the following proportion:

h_remaining / h_total = V_remaining / V_total.

By cross-multiplying and solving for V_remaining, we can find the remaining volume in the tank when it's 3 feet deep. Then, we convert this volume back to gallons by dividing by 0.133681.

Let's calculate that.

Apologies for the confusion; I made a mistake. I can't execute calculations directly in this manner. I'll carry out the calculations below instead:

The total volume of the tank in cubic feet is:

V_total = 620 gallons * 0.133681 cubic feet/gallon = 82.9022 cubic feet.

The remaining volume when the tank is 3 feet deep can be calculated with the proportion:

h_remaining / h_total = V_remaining / V_total.

After cross-multiplying and solving for V_remaining, we have:

V_remaining = (h_remaining / h_total) * V_total = (3 ft / 8 ft) * 82.9022 cubic feet = 31.0941 cubic feet.

Then, we convert this volume back to gallons by dividing by 0.133681:

V_remaining_gal = 31.0941 cubic feet / 0.133681 = 232.63 gallons.

Rounding to the nearest whole number, approximately 233 gallons remain in the tank when the depth of the oil is 3 feet.

Answer:

ik

Step-by-step explanation:

To count the number of subsets of a set with k elements, we use the recurrence relation sk+1 = 2sk with the initial condition s0 = 1.

For your initial condition, consider a set with 0 elements, which has only one subset - the empty set. Thus, S(0) = 1. Using the recurrence relation and initial condition, you can compute the cardinality of the power set for any set of size k.

To count the number of subsets of a set with k elements, we can set up a recurrence relation.

Let sk be the cardinality of the power set of a set with k elements. When we add one more element to the set, we have two options for each subset: either include the new element or don't include it.

This means that the number of subsets of the set with k+1 elements is twice the number of subsets of the set with k elements. Therefore, we have the recurrence relation: sk+1 = 2sk.

Our initial condition is the number of subsets of an empty set, which is 1 (since the empty set itself is a subset). So s0 = 1.

In this course, when working with counting activities and sets, you can set up a recurrence relation to count the number of subsets of a set with k elements. Let S(k) represent the cardinality of the power set of a set of size k.

When you add one more element to the set, you essentially double the number of possible subsets, as each existing subset can either include or exclude the new element.

Therefore, the recurrence relation can be expressed as:

S(k) = 2 * S(k-1)

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Answer:

The PC 5150 is sold anywhere from $50 - $500 I believe it is a reasonable price since it is an old item and does not work as well as the newer and better ones.

Hope this helped : )

Answer:

C: (4, -12)

Step-by-step explanation:

graph starts at 48 and keeps going down by 4 making the x intercept stop at 4. y intercept goes down by 4 but stops on the negative side of 12. so (4,-12)

the answer to your question is C. 6^4

Answer:C? sorry if im wrong

Step-by-step explanation:

Therefore , the solution to the given problem of unitary method comes out to be 34 marbles are therefore on the sixth line.

The term unitary refers to a single or unique or variable unit. As a result, the purpose of this strategy is to construct values with regard to a single unit. For instance, if a car drives 44 kilometres on two litres of fuel, the unitary technique can be used to determine how many kilometers it will travel on one.

Here,

Every subsequent line, beginning with one, contains two less characters than the one before it.

This signifies that your starting line contains three marbles. The 3 marbles are multiplied by 2 to get 3x2=6, and the result is subtracted to get 6-2=4.

This implies that you will receive 4 marbles for the following line.

As a result, in order to determine the sixth line, you must first determine the fifth line by counting the number of marbles on the fourth line because your diagram does not include a fifth line.

(4) = ten marbles.

10×2=20

20-2=18

(5) line = (18)

18×2=36

36-2=34

Therefore , the solution to the given problem of unitary method comes out to be 34 marbles are therefore on the sixth line.

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Answer:

(5,4)

Step-by-step explanation:

To solve a system of equations by substitution, you need to solve one of the equations for one variable (either x or y). In this case, we can solve the second equation for x: x=2y-3. Then substitute this expression into the first equation and solve for y: 5(2y-3)-y=21. Solving for y gives us y=4. Substitute this value back into the second equation and solve for x: x=2(4)-3=5. Therefore, the solution is (5,4).

yw;)

Answer:

         a₁₅ = 9 565 938

Step-by-step explanation:

6÷2 = 3  and   18÷6 = 3  so:  q = 3

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