PLEASE HELP ME
TEMPERATURE The hottest temperature recorded in Key West, Florida, was 98°F. This was 25°F colder than 3 times the coldest temperature
recorded in Key West. Which equation can be used to find the coldest temperature recorded in Key West? What is the coldest temperature
recorded in Key West?
A) 3T + 2598; 24.3°
O B) T+25=98; 73°
O C) 3T98; 32.7"
OD) 3T-25= 98; 41°

Answers

Answer 1

The equation that can be used to find the coldest temperature recorded in Key west is 3T - 25°F = 98°F and the coldest temperature recorded is 41°F.

What is an equation?

The equation represents the relationship of two expressions on either side of the sign.

We have,

The hottest temperature = 98°F.

And that this was 25°F colder than 3 times the coldest temperature.

If we let the coldest temperature be denoted by T

We can write an equation as:

98°F + 25°F = 3T

Subtracting 25° on both sides.

98°F = 3T - 25°F

3T - 25°F = 98°F

The coldest temperature recorded in key west:

3°T - 25°T = 98°F

3°T = 123°F

T = 103°F / 3

T = 41°F

Thus the equation that can be used to find the coldest temperature recorded in Key west is 3T - 25°F = 98°F and the coldest temperature recorded is 41°F.

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Related Questions

Select the correct answer from each drop-down menu.


• Drop down box 1

Division property of equality
Multiplication property of equality
Substitution property of equality


• Drop down box 2

csin(A) = bsin(C)
ccos(B) =bcos(C)
csin(B) =bsin(C)


• Drop down box 3

Division property of equality
Multiplication property of equality
Substitution property of equality


Really need this answer please

Select the correct answer from each drop-down menu. Drop down box 1Division property of equality Multiplication

Answers

We can see here that in selecting the correct answer, we have:

Drop down box 1: Multiplication property of equality.

Drop down box 2: csin(B) =bsin(C)

Drop down box 3: Division property of equality.

What is Multiplication property of equality?

A key idea in algebra is the multiplication property of equality, which asserts that if we multiply both sides of an equation by the same non-zero number, the equality is still maintained.

In other words, if a = b, then for any non-zero number c, we have:

a × c = b × c

Algebraic equations and expressions are frequently solved using the multiplication property of equality, a potent tool.

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Chastity ran a hypothesis test with an alpha level of .01 and her test statistic fell outside of the critical region. what should she do?

Answers

The critical region is determined based on the alpha level, which is the probability of making a Type I error (rejecting the null hypothesis when it is true). An alpha level of .01 means that there is a 1% chance of making a Type I error.

If Chastity ran a hypothesis test with an alpha level of .01 and her test statistic fell outside of the critical region, it means that the test statistic does not provide enough evidence to reject the null hypothesis.

In this case, Chastity should fail to reject the null hypothesis and accept it as the plausible explanation. This implies that there is not enough evidence to support the alternative hypothesis.

When a test statistic falls outside of the critical region, it indicates that the observed data is not extreme enough to reject the null hypothesis. The critical region is determined based on the alpha level, which is the probability of making a Type I error (rejecting the null hypothesis when it is true). An alpha level of .01 means that there is a 1% chance of making a Type I error.

In summary, when Chastity's test statistic falls outside of the critical region, she should fail to reject the null hypothesis and accept it as the plausible explanation. This means that there is not enough evidence to support the alternative hypothesis at the given alpha level of .01.

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View Policies Current Attempt in Progress Using the information provided in the table, the network diagram and the project completion time = 25 weeks, reduce the completion time of the project by 5 we

Answers

Strategies such as fast-tracking, crashing, prioritization, and resource optimization can be employed to reduce the project completion time by 5 weeks.


To reduce the completion time of the project by 5 weeks, we need to analyze the provided information and make appropriate adjustments. The initial completion time of the project is 25 weeks.

To achieve a reduction of 5 weeks, we can consider several strategies:

1. Fast-tracking: This involves overlapping or parallelizing certain project activities that were initially planned to be executed sequentially. By identifying tasks that can be performed concurrently, we can potentially save time. However, it's important to evaluate the impact on resource allocation and potential risks associated with fast-tracking.

2. Crashing: This strategy focuses on expediting critical activities by adding more resources or adopting alternative approaches to complete them faster. By compressing the schedule of critical tasks, we can reduce the overall project duration. However, this may come at an additional cost.

3. Prioritization: By reevaluating the project tasks and their priorities, we can allocate resources more efficiently. This ensures that critical activities receive higher attention and are completed earlier, resulting in an accelerated project timeline.

4. Resource optimization: Analyzing the resource allocation and identifying potential areas for optimization can lead to time savings. By ensuring that resources are utilized effectively and efficiently, we can streamline the project execution process.

It's important to note that implementing any of these strategies requires careful evaluation, considering factors such as project constraints, risks, cost implications, and stakeholder agreements. A comprehensive analysis of the project plan, resource availability, and critical path can guide the decision-making process for reducing the project completion time.

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What are the advantages of using graphing calculator?

Answers

Graphing calculators provide a variety of advantages to students. They are powerful tools that allow students to graph equations, visualize data, and explore mathematical concepts.

Graphing calculators also provide students with a comprehensive set of math functions, including trigonometric, exponential, and logarithmic functions. This means that students can use them to solve complex equations, or to develop and graph mathematical models.

With a graphing calculator, students can easily manipulate the graph to explore the effect of changing variables on the equation. This is particularly useful for understanding calculus concepts, and for visualizing the effects of different mathematical operations.

Overall, graphing calculators provide a variety of advantages and are an invaluable tool for students studying mathematics.

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surface area of a cube if the sides are 0.7

Answers

Answer:

\(SA = 2.94 \, \textrm{units}^2\)

Step-by-step explanation:

The surface area of a regular 3D figure can be represented as:

\(SA = A_{\textrm{\,1 side}} \cdot (\# \textrm{ of sides})\).

Therefore, the surface area of a cube is:

\(SA = s^2 \cdot 6\)

where \(s\) is the length of a side.

To solve this problem, simply input the given side length into the above formula:

\(SA = 0.7^2 \cdot 6\)

and simplify.

\(SA = 0.49 \cdot 6\)

\(SA = 2.94 \, \textrm{units}^2\)

A line passes through (–2, –3) and has a slope of

3
4
. Which is an equation of the line?

Answers

Answer:

 y  = 3x + 3

Step-by-step explanation:

Given parameters;

 Coordinates of the line;

            (-2, -3)

  Slope of the line  = 3

Unknown:

Equation of the line = ?

Solution:

The equation of any straight line is often expressed as;

            y  = mx + c

y and x are the coordinates

c is the intercept

  Now insert values of y, x and m to find c;

   -3  = 3(-2) + c

   -3  = -6 + c

    c = -3 + 6  = 3

The equation of the line is;

         y  = 3x + 3

im learning about isosceles trapezoids right now, and i forgot to take notes of the formulas. can someone please list them for me? thanks

Answers

The formula to find the area of an isosceles trapezoid is: Area = (sum of parallel sides ÷ 2) × height.

can someone help me plz

can someone help me plz

Answers

Answer:

21/2 = 10.5

y = 10.5*hours

The answer to this question is Y =10.5

William and
Debra
Pierce are celebrating their
20th anniversary by having a reception at a local reception hall. They have budgeted
$2,000 for their reception. If the reception hall charges a
$50 cleanup fee plus
$36 per​ person, find the greatest number of people that they may invite and still stay within their budget.

Answers

Answer:

54

Step-by-step explanation:

i put in the calculator 50+36×54= and got this 1,994

What is the equivalent ratio of 9:3 ?

Answers

3:1 should be the answer.

Answer:

3 : 1

Step-by-step explanation:

An arithmetic sequence has common difference d. the series sums s2, s5 and s7 themselves form an arithmetic sequence. find, in terms of d, the common difference for this sequence.

Answers

To find the common difference for the arithmetic sequence formed by the series sums s2, s5, and s7, let's analyze the given information.

The sum of the second term (s2), fifth term (s5), and seventh term (s7) themselves form an arithmetic sequence.

Let's denote the second term as a + 2d, the fifth term as a + 5d, and the seventh term as a + 7d, where 'a' is the first term and 'd' is the common difference.

Using the arithmetic sequence formula for the sum of terms, we have:

s2 = (2/2) * (2a + (2-1)d) = 2a + d

s5 = (5/2) * (2a + (5-1)d) = 5a + 6d

s7 = (7/2) * (2a + (7-1)d) = 7a + 12d

Since the sums s2, s5, and s7 themselves form an arithmetic sequence, we can express their differences:

s5 - s2 = (5a + 6d) - (2a + d) = 3a + 5d

s7 - s5 = (7a + 12d) - (5a + 6d) = 2a + 6d

Now, equating the differences, we have:

3a + 5d = 2a + 6d

Simplifying the equation, we find:

a = d

Therefore, the common difference for the arithmetic sequence formed by the series sums s2, s5, and s7 is 'd'.

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a population is modeled by the differential equation dp dt = 1.2p 1 − p 4300 .
(a) For what values of P is the population increasing and for what values of P is
the population decreasing?
(b) If the initial population is 5500, what is the limiting pupulation?
(c) What are the equilibrium solutions?

Answers

a) the population cannot be negative, the limiting population is 4300.

b)the population is increasing when 0 < p < 4300 and decreases when p > 4300.

c)the equilibrium solutions are p = 0 and p = 4300.

(a) To determine when the population is increasing or decreasing, we need to look at the sign of dp/dt.

\(\frac{dp}{dt} = 1.2p(1 - \frac{p}{4300})\)

For dp/dt to be positive (i.e. population is increasing),

we need\(1 - \frac{p}{4300} > 0, or \ p < 4300.\)

For dp/dt to be negative (i.e. population is decreasing),

we need\(1 - \frac{p}{4300} < 0, or p > 4300.\)

Therefore, the population is increasing when 0 < p < 4300 and decreases when p > 4300.

(b) To find the limiting population, we need to find the value of p as t approaches infinity.

As t approaches infinity,\(\frac{dp}{dt}\)approaches 0. Therefore, we can set \(\frac{dp}{dt}\) = 0 and solve for p.

0 = 1.2p(1 - p/4300)

Simplifying, we get:

0 = p(1 - p/4300)

So, either p = 0 or 1 - p/4300 = 0.

Solving for p, we get:

p = 0 or p = 4300.

Since the population cannot be negative, the limiting population is 4300.

(c) Equilibrium solutions occur when\(dp/dt = 0.\)We already found the equilibrium solutions in part (b): p = 0 and p = 4300.

Therefore, the equilibrium solutions are p = 0 and p = 4300.

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a)  The population is increasing when 0 < p < 4300, and  decreasing when p > 4300.

b)  The population cannot be negative, the limiting population is 4300.

c)  these are the equilibrium solutions.  At p = 0, the population is not

increasing or decreasing, and at p = 4300,  the population is decreasing

but not changing in size.

(a) To determine when the population is increasing or decreasing, we

need to find the sign of dp/dt. We have:

dp/dt = 1.2p(1 - p/4300)

This expression is positive when 1 - p/4300 > 0, i.e., when p < 4300, and

negative when 1 - p/4300 < 0, i.e., when p > 4300.

Therefore, the population is increasing when 0 < p < 4300, and

decreasing when p > 4300.

(b) To find the limiting population, we need to solve for p as t approaches infinity. To do this, we set dp/dt = 0 and solve for p:

1.2p(1 - p/4300) = 0

This equation has two solutions: p = 0 and p = 4300. Since the population cannot be negative, the limiting population is 4300.

(c) To find the equilibrium solutions, we need to solve for p when dp/dt = 0. We already found that the only solutions to dp/dt = 0 are p = 0 and

p = 4300.

Therefore, these are the equilibrium solutions.

At p = 0, the population is not increasing or decreasing, and at p = 4300,

the population is decreasing but not changing in size.

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Help
1. 4 < 7 Multiply both sides by 3, then by 2, then by 4, then by 9

2. 11 > -2 Add 3 to both sides, then add 3, then add (-4)

3. -2 \leq -2 Subtract 6 from both sides, then 8, and then 2

4. -4 < 8 Divide both sides by -4, then by -2

5. Write a short explanation of the effects of the above operations. Did this affect the inequality sign? Was it still true? Why or why not?

Answers

The short explanation of the effects of the above operations will not affect the inequality.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

1. 4 < 7 Multiply both sides by 3, then by 2, then by 4, then by 9, then we have

4 x 3 x 2 x 4 x 9 < 7 x 3 x 2 x 4 x 9

864 < 1512

2. 11 > -2 Add 3 to both sides, then add 3, then add (-4)

11 + 3 + (-4) > - 2 + 3 + (-4)

10 > - 3

3. -2 ≤ -2 Subtract 6 from both sides, then 8, and then 2

-2 - 6 - 8 - 2 ≤ -2 - 6 - 8 - 2

- 18 ≤ - 18

4. -4 < 8 Divide both sides by -4, then by -2

- 4 / (-4) > 8 / (-4)

1 / (-2) > - 2 / (-2)

- 1/2 < 1

The short explanation of the effects of the above operations will not affect the inequality.

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Mhanifa please help look at the picture attached

Mhanifa please help look at the picture attached

Answers

Answer:

B. (3, 2)

Step-by-step explanation:

Given vertices of triangle:

A(1, 2), B(3, 4), C(5, 0)

The centroid is found as the average of x- and y- coordinates of three vertices:

C = ((x₁ + x₂ + x₃)/3, (y₁ + y₂ + y₃)/3)

Substitute the coordinates into formula:

C = ((1 + 3 + 5)/3, (2 + 4 + 0)/3) = (3, 2)

Correct choice is B

Answer:

B. (3, 2)

Step-by-step explanation:

Because it is the "Correct Answer"

EMERGENCY! PLEASE ANSWER ASAP! ​

EMERGENCY! PLEASE ANSWER ASAP!

Answers

Answer:

The asnwer in the bottom right corner is correct. When multiplying exponents with the same base all you do is add the exponent for example: For 9 to the 6 power times 9 to the 4 power the answer is 9 to the 10 since we just add 4 and 6

Step-by-step explanation:

use simpson's rule with n=4 to approximate the solution to part b at x=0.5 to three decimal places.

Answers

Using the value of ∫01x3+1dx obtained above, we can approximate the value of∫0.50x3+1dx as:Simpson's Rule ∫abf(x)dx≈b−a3n[f(a)+2∑i=12n−1f(ai)+4∑i=14n−1f(xi)+f(b)]≈15[0+2{(13)3+1}+4{(14)3+1}+13+3]≈0.7828Therefore, the solution to part b at x=0.5 to three decimal places is approximately equal to 0.7828.

The solution to part b at x

=0.5 to three decimal places using Simpson's Rule with n

=4 is given as follows:Approximate the value of∫01x3+1dx, with Simpson's Rule using n

=4 subintervals.Simpson's Rule formula for integrating a function, f(x), with n subintervals is given as:Simpson's Rule ∫abf(x)dx≈b−a3n[f(a)+2∑i

=12n−1f(ai)+4∑i

=14n−1f(xi)+f(b)]where h

=(b−a)n and xi

=a+ih for i

=1,2,3,...,n.Substituting a

=0, b=1, f(x)

=x3+1, and n

=4 in Simpson's Rule formula:∫01x3+1dx≈14[0+2{(13)3+1+(23)3+1}+4{(14)3+1+(34)3+1}+13+3]≈1.1354The value of ∫01x3+1dx is approximately equal to 1.1354, using Simpson's Rule with n

=4 subintervals. We want to approximate the solution to part b at x

=0.5 to three decimal places. Using the value of ∫01x3+1dx obtained above, we can approximate the value of∫0.50x3+1dx as:Simpson's Rule ∫abf(x)dx≈b−a3n[f(a)+2∑i

=12n−1f(ai)+4∑i

=14n−1f(xi)+f(b)]≈15[0+2{(13)3+1}+4{(14)3+1}+13+3]≈0.7828Therefore, the solution to part b at x

=0.5 to three decimal places is approximately equal to 0.7828.

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Let Q(x, y) denote the statement "x is the capital of y." What are these truth values ? a) Q(Denver, Colorado) b) Q(Detroit, Michigan) c) Q(Massachusetts, Boston) d) Q(New York, New York)

Answers

The truth values of the statement are

a) Q(Denver, Colorado) is true

b) Q(Detroit, Michigan) is false

c) Q(Massachusetts, Boston) is true

d) Q(New York, New York) is false

In this case, we are considering statements of the form "x is the capital of y," where x and y are specific places. These statements can have different truth values, depending on whether they are true or false. Let's explore the truth values of some specific examples.

a) Q(Denver, Colorado)

This statement asserts that Denver is the capital of Colorado. Is this true or false? Well, the capital of Colorado is actually Denver, so this statement is true. Therefore, the truth value of Q(Denver, Colorado) is true.

b) Q(Detroit, Michigan)

This statement asserts that Detroit is the capital of Michigan. Is this true or false? Actually, Lansing is the capital of Michigan, not Detroit. Therefore, this statement is false. The truth value of Q(Detroit, Michigan) is false.

c) Q(Massachusetts, Boston)

This statement asserts that Boston is the capital of Massachusetts. Is this true or false? Yes, Boston is indeed the capital of Massachusetts, so this statement is true. The truth value of Q(Massachusetts, Boston) is true.

d) Q(New York, New York)

This statement asserts that New York is the capital of New York. Is this true or false? Actually, Albany is the capital of New York, not New York City. Therefore, this statement is false. The truth value of Q(New York, New York) is false.

So, as we can see, the truth values of these statements depend on the specific relationships between x and y. When x is indeed the capital of y, the statement Q(x, y) is true, and when x is not the capital of y, the statement is false.

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John owns a clothing store that sells graphic t-shirts and shorts.

He sells the t-shirts for $6 each and the shorts for $14 each.

He is limited to the constraints show by the set of inequalities below.

Which of the points (s, t) will maximize John's profit?

A. (4, 16)

B. (12, 0)

C. (0, 20)

D. (0, 10)

John owns a clothing store that sells graphic t-shirts and shorts. He sells the t-shirts for $6 each

Answers

Answer:

i think its A

Step-by-step explanation:

bc s need to be up on 4 and down on 16

Answer: (12, 0) or (30,0).

Step-by-step explanation: Depends on which quiz you're taking. The answer to this problem is (12,0). (30,0) is the answer to the question which has the system of inequalities as :

s ≤ 40 - 3t

s ≥ 12 - t

s ≤ 30 - t

s ≥ 0

t ≥ 0

A bag contains 7 red marbles, 8 blue marbles and 3 green marbles. If three marbles are drawn out of the bag, what is the exact probability that all three marbles drawn will be blue?

Answers

Answer:

6.862745098%

Step-by-step explanation:

8/18x7/17x6/16=0.06862745098

0.06862745098 * 100 = 6.862745098%

¿Cuantas dimensiones tiene una cebolla?

Answers

Answer:

Una cebolla es un objeto tridimensional, en tanto tiene una profundidad, una altura y una anchura específicas.

Se entiende por tres dimensiones a la posibilidad de percibir un objeto a través de tres expresiones geométricamente diferentes: a través de su altura, es decir, su longitud; a través de su anchura, es decir, su extensión hacia los lados; y a través de su profundidad, entendida como la extensión que tiene el objeto desde sus bordes hacia adentro.

ly| ≤3

Are the lines on graph at 3 and -3 also part of the answer?

ly| 3Are the lines on graph at 3 and -3 also part of the answer?

Answers

Answer:

Yes, the lines on the graph at 3 and -3 a part  of the solution,

Step-by-step explanation:

The inequality \(|y| \leq 3\) contains all the values of \(y\) 3 units from the origin including the values 3 and -3.

Thus, the lines on the graph y =-3 and y = 3 are the part of the solution.

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(Normal Approximation) Samples of size 49 are selected from a population with mean 40 and standard deviation 7.5. The standard error of the sampling distribution of sample means isa. 0.30 b. 1.07 c. 7.50d. 0.82

Answers

The standard error of the sampling distribution of sample means is b. 1.07

When using normal approximation to estimate the sampling distribution of sample means, we consider a few key factors: the sample size (n), the population mean (μ), and the population standard deviation (σ). In this case, we are given a sample size of 49, a population mean of 40, and a standard deviation of 7.5.

The standard error (SE) of the sampling distribution of sample means is an essential value that allows us to understand the variability of sample means around the population mean. To calculate the standard error, we use the following formula:

SE = σ / √n

Where σ is the population standard deviation, and n is the sample size. Plugging in the given values, we get:

SE = 7.5 / √49

SE = 7.5 / 7

SE = 1.07

Therefore, the standard error of the sampling distribution of sample means is 1.07 (option b). This value helps us understand the degree to which individual sample means may deviate from the true population mean, with smaller values indicating less variability and greater precision in our estimates.

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Solve for x . Pls help!

!! I’ll give brainliest! :)

Solve for x . Pls help!!! Ill give brainliest! :)

Answers

Answer:

where is the question

Step-by-step explanation:

which of the following could be used to find the slope of the line tangent to the curve tan−1(x−2y 2)=x2−3 y tan−1(2)−1 tan−1(x−2y 2)=x2−3y tan−1(2)−1 ?

Answers

The derivative is used to find the slope of the line tangent to the curve tan−1(x−2y²)=x²−3y tan−1(2)−1 tan−1(x−2y²)=x²−3y tan−1(2)−1.

What is a tangent line?

In geometry, a tangent line to a plane curve at a given point is a straight line that "just touches" the curve at that point and no closer. It is the same as the limit of secant lines when the two endpoints of the secant line get closer and closer to each other. Some sources refer to a tangent line as a tangent. In general, it is a line that intersects a curved surface at just one point, or the derivative of a function at a certain point.

What is a derivative?

The derivative is a number that expresses how quickly a function changes at a particular point. In general, the derivative of a function measures the slope of the line that best approximates the function at that point. The derivative is a useful concept in calculus, which deals with the study of rates of change and their applications.How to find the derivative of a function?In calculus, the derivative of a function is the slope of the tangent line to the function at a given point. To find the derivative of a function, we can use the following steps:Find the difference quotient by subtracting the value of the function at two points, divided by the difference between those points.Take the limit as the difference between those points approaches zero.The result is the derivative of the function at that point.

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A triangle has sides with lengths 8, 15, and 17.

Is this a Pythagorean Triple? (yes/no)

With a ratio comparing 8/15, that acute angle should measure between and degrees but closer to degrees.

A triangle has sides with lengths 8, 15, and 17.Is this a Pythagorean Triple? (yes/no)With a ratio comparing

Answers

Answer:

Yes, the triangle with sides 8, 15, and 17 is a Pythagorean triple. This is because 8^2 + 15^2 = 64 + 225 = 289 = 17^2. As for the acute angle between sides 8 and 15, we can use the inverse tangent function to find it. tan(theta) = 8/15 theta = arctan(8/15) Using a calculator, we find that theta ≈ 28.07 degrees. Since we know this is an acute angle, we can conclude that it measures between 0 and 90 degrees, and is closer to 28 degrees than to 62 degrees.

which point is located at 5_2​

which point is located at 5_2

Answers

Hey there!

Point D is located at point (5, -2)

In coordinates, the first number represents the x-coordinate, and the second number represents the y-coordinate. (TIP: YOU MUST START AT THE ORIGIN, OR (0, 0). In the x-coordinate, you go left/right that number of spaces, left for negative and right for positive. For the y-coordinate, you go up/down that number of spaces, down for negative and up for positive. This means that the point (5, -2) is 5 units right and 2 units down, which lands on point D.

Hope it helps and have an amazing day!

Please help need by tomorrow it would be very very very appreciated

Please help need by tomorrow it would be very very very appreciated

Answers

The linear inequality for the graph in this problem is given as follows:

y ≥ 2x/3 + 1.

How to define a linear function?

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

m is the slope.b is the intercept.

The graph crosses the y-axis at y = 1, hence the intercept b is given as follows:

b = 1.

When x increases by 3, y increases by 2, hence the slope m is given as follows:

m = 2/3.

Then the linear function is given as follows:

y = 2x/3 + 1.

Numbers above the solid line are graphed, hence the inequality is given as follows:

y ≥ 2x/3 + 1.

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Help I don’t understand what’s happening

Help I dont understand whats happening

Answers

Solution of Square root,  x² = 30: x = √30 = √30² = 30, x = -√30 = -√30² = 30

Solution of Cube root, x³ = 30: x = ∛30 = ∛30³ = 30, x = -∛30 = -∛30³ = -30

Given,

Square root x² = 30

Then, the value of:

x = √30 = √30² = 30

x = -√30 = -√30² = 30

x = ∛30 = ∛30² = 3.107

x = -∛30 = -∛30² = -3.107

Now,

Cube root, x³ = 30

x = √30 = √30³ = 164.317

x = -√30 = -√30³ = -164.317

x = ∛30 = ∛30³ = 30

x = -∛30 = -∛30³ = -30

Therefore,

Solution of Square root,  x² = 30:

x = √30 = √30² = 30

x = -√30 = -√30² = 30

Solution of Cube root, x³ = 30:

x = ∛30 = ∛30³ = 30

x = -∛30 = -∛30³ = -30

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Let​ p, q, and r represent the following simple statements.
​p:The chair is broken.
​q:It is time to sleep..
​r:Upper I study.
Write the symbolic statement in words.
(p ∨ q) ∧ ~r
Choose the correct answer below.
A.It is time to sleep or the chair is broken and I do not study.
B.The chair is broken or it is time to sleep​, and I do not study.
C.The chair is broken​,and it is time to sleep or I do not study.
D.It is time to sleep and the chair is broken​, or I do not study.

Answers

The correct option is B.

The symbolic statement (p ∨ q) ∧ ~r represents "The chair is broken or it is time to sleep, and I do not study".

The statement (p ∨ q) ∧ ~r can be broken down as follows:

p ∨ q represents "The chair is broken or it is time to sleep".~r represents "I do not study".

The ∧ symbol represents "and".Therefore, the entire statement can be written as "The chair is broken or it is time to sleep, and I do not study"."It is time to sleep or the chair is broken and I do not study".

Hence the correct option is B.

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Find the volume, the total surface area and the lateral surface area of the cuboid having: 1) Length = 10 m, breadth = 35cm and height = 1.2m

Answers

Answer:

Volume = 4.2m³

Total surface area = 31.84m²

Lateral surface area = 24.84m²

Step-by-step explanation:

1m = 100cm

Cuboid's;

Length (l) = 10m

Width (w) = 35cm = 0.35m

height(h) = 1.2m

Volume:

Volume (v) of a cuboid is given by: Length × Width × Height = l × w × h

v = 10m × 0.35m × 1.2m = 4.2m³

Total Surface Area:

Total surface area (\(A_{T}\)) is given by adding the areas of all rectangles that make the cuboid.

\(A_{T}\) = 2(10m × 1.2m) + 2(0.35m × 1.2m) + 2(10m × 0.35m)  = 24m² + 0.84m² + 7m² = 31.84m²

\(A_{T}\) = 31.84m²

Lateral Surface Area:

Lateral surface area (\(A_{L}\)) is found by subtracting base and top area from the total surface area.

Base and top area = 2(10m × 0.35m) = 7m²

∴ \(A_{L}\) = 31.84m² = 7m² = 24.84m²

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