What values of a and b make this equation true?

Answer:

It is actually very simple:

Notice that they don't actually do the square of 49 and 64. For some reason, they do the square root of the values without squaring them. If we were to do it in the right way, the answer would be:

\(49^{2} +64^{2} = c^{2}\)⇔ 2401+4096 = \(c^{2}\) ⇔ 6497 = \(c^{2}\) ⇔ \(\sqrt{6497}\) = \(\sqrt{c^{2} }\) ⇔ 80,6 ≈ c

I believe this is the answer. I hope I had helped :)

The height of the water tank of the air cooler brought by Anu is 40 cm.

Height is the vertical measurement of an object. If the measurement is not made vertically, the measurement is termed the length or width. Volume is a measure of how much space an object can occupy. Volume is used to determine the density of an object.

given,

Length = 50 cm

Width = 20 cm

Maximum tank volume = 40 liters = 40,000 cm3

Tank height?

Steps,

Tank volume = length x width x height

40,000 = 50 x 20 x height

40,000 = 1000 x height

Tank height = 40,000 : 1000

Tank height = 40 cm

So, the height of the air conditioning tank that can hold 40 liters of water is 40 cm.

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The solution to the equation does not exist

From the question, we have the following parameters that can be used in our computation:

2x - 3 = 0

2x - 3 = 3

Also from the question, we understand that the graph is given as

3 = 0

The above equation is false, and cannot be represented on a graph

This is so because 0 and 3 do not have the same value

Similarly, we have 2x - 3 = 0 and 2x - 3 = 3

By substitution, the equations becomes

0 = 3

Hence, the equation has no solution

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Complete question

Graph of 3=0

Solve the equation 2x - 3 = 0 and 2x - 3 = 3 graphically

You just literally mark the graph, you see the 1st points (2,12) go on the X axis to 2, then go up to 12 and mark that as a point. and continue with this tactic with the rest.

Answer:

I think this is correct. <3

Answer:

maximum value is 17.

Step-by-step explanation:

8.5=1/2(x-0)

8.5=1/2x

8.5=x/2

8.5×2=x

17=x

x=17

The expression for the volume of marble removed is (2t³/3).

The given information is as follows:

A sculptor cuts a pyramid from a marble cube with volume t^3 ft^3

The pyramid is t ft tall

The area of the base is t^2 ft^2

The formula to calculate the volume of a pyramid is,V = 1/3 × B × h

Where, B is the area of the base

h is the height of the pyramid

In the given scenario, the base of the pyramid is a square with the length of each side equal to t ft.

Thus, the area of the base is t² ft².

Hence, the expression for the volume of marble removed is given by the difference between the volume of the marble cube and the volume of the pyramid.

V = t³ - (1/3 × t² × t)V

   = t³ - (t³/3)V

    = (3t³/3) - (t³/3)V

   = (2t³/3)

Therefore, the expression for the volume of marble removed is (2t³/3).

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In mathematics, a number is considered to be "even" if it is divisible by 2, and "odd" if it is not divisible by 2. The numbers from 1 to 100 can be divided into two groups: even numbers and odd numbers.

Even numbers are numbers that are divisible by 2, such as 2, 4, 6, 8, and so on. When you divide an even number by 2, the remainder will always be 0. Some examples of even numbers between 1 and 100 include: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, and 100.

Odd numbers are numbers that are not divisible by 2, such as 1, 3, 5, 7, and so on. When you divide an odd number by 2, the remainder will always be 1. Some examples of odd numbers between 1 and 100 include: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, and 99.

It is important to note that 0 is not a positive or negative number and it is not considered as odd or even.

Knowing the difference between even and odd numbers is an important concept in math, especially when working with patterns, sequences, and operations. Understanding even and odd numbers can help you better understand the properties of numbers and how they can be used in different contexts.

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Close ties between the members of the group typically are formed during the norming stage of group development.

The norming stage of group development is the third stage, where the group begins to establish a sense of cohesion and unity. During this stage, members start to accept each other's ideas and opinions, develop relationships with one another, and establish patterns of communication and interaction. As a result of these positive developments, close ties between the members of the group often begin to form.

In the norming stage, group members also start to identify common goals and work together to achieve them. This shared sense of purpose can further strengthen the bonds between group members and contribute to the formation of close ties.

Overall, the norming stage is an important period of transition for groups as they move from the early stages of forming and storming to a more cohesive and productive group dynamic. The close ties formed during this stage can help to foster a supportive and collaborative environment that benefits the group as a whole.

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The largest group would be the target population as it encompasses all individuals or objects of interest, while the other groups are subsets or smaller samples of this larger group.

Out of the four groups listed, the largest group would be the target population. The target population is the total group of individuals or objects that the researcher is interested in studying or gathering information about. It is the group that the researcher wants to make conclusions about based on their study results.

The accessible population is a subset of the target population and refers to the group of individuals or objects that are accessible and available for the researcher to study. This group may be smaller than the target population if some individuals or objects are not accessible or willing to participate in the study. The sample is a smaller subset of the accessible population that is actually studied and analyzed. The sample is chosen to be representative of the accessible population and the target population.

The control group is a specific type of sample used in experimental research. It is a group that does not receive the intervention or treatment being studied and is used to compare against the group that does receive the intervention or treatment.

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Step-by-step explanation:

A bar chart or a histogram might be suitable if all the sample sizes are the same and the team is worried about the amount of flaws.

Consider comparing the quantity of defects across several production lines, departments, or time periods.

The number of faults would be the continuous variable in this instance, and the bars would represent the number of samples that included a particular number of defects.

When illustrating the distribution of a count variable, such as the number of defects, bar charts and histograms can be used to visually spot patterns and trends in the data.

Therefore, the number faults would be the continuous variable in this instance, and the bars would represent the number of samples that included a particular number of defects.

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Answer:

90

Step-by-step explanation:

We square the residuals when using the least-squares line method to find the line of best fit because we believe that huge negative residuals (i.e., points well below the line) are just as harmful as large positive residuals (i.e., points that are high above the line).

We treat both positive and negative disparities equally by squaring the residual values.  We cannot discover a single straight line that concurrently minimizes all residuals. The average (squared) residual value is instead minimized.

We might also take the absolute values of the residuals rather than squaring them. Positive disparities are viewed as just as harmful as negative ones under both strategies.

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Step-by-step explanation:

Fraction of the money spent = $16/$25 = 0.64.

The ANOVA (Analysis of Variance) design consists of two factors: Factor A, which represents laundry detergent with 2 levels, and Factor B, which represents temperature with 3 levels. The total number of samples tested is not specified.

ANOVA is a statistical technique used to analyze the differences between group means. In this case, Factor A represents the laundry detergent, which has 2 levels. These levels could be different brands or types of detergent being tested. Factor B represents temperature and has 3 levels, which could represent different temperature conditions under which the laundry is washed.

To conduct an ANOVA, data is collected on the dependent variable (e.g., stain removal effectiveness) for each combination of the levels of the two factors. The total number of samples tested is not provided in the given information, but it would depend on the specific experimental design and sample size determined by the researcher.

The ANOVA analysis would then assess the variation in the dependent variable based on the different levels of the two factors (laundry detergent and temperature). It would determine if there are statistically significant differences between the groups defined by the levels of the factors and provide insights into which factor or interaction between factors is responsible for the observed differences.

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Answer:

I know that the bank account one is b I am not sure on the other one I'm sorry

Answer:

6. B 7. C 8. A 9. D 10. C

Step-by-step explanation:

Answer:

x = 17

Step-by-step explanation:

number of sides (n) = 5

Sum of angles of polygon = (n - 2) *180

                                            = 3 * 180 = 540

9x + 71 + 92 + 5x + 139 = 540

9x +5x + 71 + 92 + 139 = 540

                   14x + 302   = 540

                               14x  = 540 - 302

                                14x = 238

                                    x = 238/14

x = 17

Each outcome represents the result of two spins, with the first element indicating the outcome of the first spin and the second element indicating the outcome of the second spin in the sample space.

The sample space is the set of all possible outcomes of an experiment. In this case, the experiment is spinning a spinner twice with two equally sized sections labeled "stop" and "go."

The possible outcomes of the first spin are "stop" (s) and "go" (g). Similarly, the possible outcomes of the second spin are also "stop" and "go."

Therefore, the sample space can be represented by all possible combinations of the first and second spin outcomes, which gives us the following four outcomes:

(s,s): the spinner stops on "stop" twice

(s,g): the spinner stops on "stop" on the first spin and on "go" on the second spin

(g,s): the spinner stops on "go" on the first spin and on "stop" on the second spin

(g,g): the spinner stops on "go" twice

Hence, the sample space for spinning a spinner twice with two equally sized sections labeled "stop" and "go" is given by the set: {(s,s), (s,g), (g,s), (g,g)}.

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Answer:

x = 6

Step-by-step explanation:

Here it's sayin that Q is a point in between the end-points P & R. If we join P & R , it forms a line segment & Q is in the line segment PR. Hence PQ & QR are also line segments which combine to form line segment PR. So ,

PR = PQ + QR

Putting the given values of PQ ,QR & PR

=> 4x - 12 + 2x + 7 = 31

=> 6x - 5 = 31

=> 6x = 31 + 5

         = 36

=> x = 36/6 = 6

Answer:

(A)Each triangle has two congruent angles: Angle M is congruent to angle O and Angle R is congruent to angle S.

Step-by-step explanation:

In Triangle MNO

\(\angle M = 54.4$ degrees, \angle N = 71.2$ degrees\\\angle M+\angle N+\angle O=180^\circ\\54.4^\circ+71.2^\circ+\angle O=180^\circ\\\angle O=180^\circ-(54.4^\circ+71.2^\circ)=54.4^\circ\)

In Triangle RST

\(\angle R = 54.4$ degrees, \angle T = 71.2$ degrees\\\angle R+\angle T+\angle S=180^\circ\\54.4^\circ+71.2^\circ+\angle S=180^\circ\\\angle S=180^\circ-(54.4^\circ+71.2^\circ)=54.4^\circ\)

Therefore:

Triangle NMO is congruent to triangle TSR; and

Triangle NMO is congruent to triangle TRS

This is because

\(\angle M \cong \angle O =54.4^\circ; and\\ \angle R \cong \angle S =54.4^\circ .\)

The correct option is A.

Answer:

A

Step-by-step explanation:

Just did the test.

Answer:

Solving the equation \(x^2 - 6x + 10 = 0\) we get \(x=3+i \ , \ x=3-i\)

Step-by-step explanation:

Noah's step to solve the equation \(x^2 - 6x + 10 = 0\) are:

\(x^2 - 6x + 10 = 0\\x^2 - 6x = -10\\x^2 - 6x + 9 = -10 + 9\\(x-3)^2 = -1\)

The next step is to take square root on both sides because: \(\sqrt{x^2}=x\)

\(\sqrt{(x-3)^2}=\sqrt{-1} \\x-3=\pm\sqrt{-1} \\x=\pm(\sqrt{-1})+3 \\\)

Now, we know that: \(\sqrt{-1}=i\)

\(x=\pm(i)+3\\x=3+i \ , \ x=3-i\)

So, Solving the equation \(x^2 - 6x + 10 = 0\) we get \(x=3+i \ , \ x=3-i\)

The steps for Noah finishing his work have been shown below and the solution is;

x = 3 + i and x = 3 - i

Noah's work is;

x² - 6x + 10 = 0

x² - 6x = -10

x² - 6x + 9 = -10 + 9

(x - 3)² = -1

Now, the next step would be to take the square root of both sides to obtain;

x - 3 = √(-1)

Now, we are told that the solution to x² = -1 are i and -i. Now, x² = -1 can also be written as;

x = √(-1)

Thus, the solution to x = √(-1) is i and -i.

Thus;

x - 3 = i and x - 3 = -i

Thus;

x = 3 + i and x = 3 - i

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C≈37.7mi

I hope it's helpful

Answer:

25 miles per hour

Step-by-step explanation:

.5=12.5 and .5×2= 1

12.5×2=25

36 to air plain crashes

d

d

d

d

dx/dt = 4+3√3 in the case of the circle with radius 4 and the equation x²+y²=16.

The method of finding an implicit function's dependent variable's derivative by differentiating each term individually, symbolizing the derivative, and then solving the resulting expression for the symbol.

Without having to solve the provided equation for y, you may use the implicit differentiation technique to determine the derivative of y with respect to x.

Because we assume that y may be written as a function of x, the chain rule must always be applied when differentiating the function y.

So, the dx/dt will be:

The circle's equation is: x² + y² = 16

Assuming that x = 2, then:

2² + y²   = 16

y² = 12

y = ±√12

Hence, the first quadrant is positive:

y = √12

y = 2√3

When implicit differentiation is used, we get that:

2x dx/dt + 2y dy/dt = 16

If fracdydt = -3, as is the case, then

2(2) dx/dt - 12√3 = 16

4 dx/dt = 16 + 12√3

dx/dt = 16+12√3/4

dx/dt = 4+3√3

Therefore, dx/dt = 4+3√3 in the case of the circle with radius 4 and the equation x² + y² = 16.

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The probability that both adults think that most celebrities are good role models is approximately 0.034.

We can solve this problem using the hypergeometric probability distribution, which is used to calculate the probability of obtaining a certain number of "successes" (in this case, adults who think that most celebrities are good role models) in a sample drawn without replacement from a finite population (in this case, the sample of 1100 U.S. adults).

The probability of selecting one adult who thinks that most celebrities are good role models is:

p = 215/1100 ≈ 0.195

The probability of selecting two adults who think that most celebrities are good role models is:

P(X = 2) = (215/1100) * (214/1099) ≈ 0.034

Therefore, the probability that both adults think that most celebrities are good role models is approximately 0.034, or 3.4%. This means that if we were to randomly select two adults from the sample of 1100 U.S. adults, there is a 3.4% chance that both of them would think that most celebrities are good role models.

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Answer:

1) y = 3/4x - 4

2) x-intercept: (-6,0) y-intercept: (0,8)

3) (-2,7)

4) slope: 2/3

Step-by-step explanation:

1) subtract 3x from both sides, divide -4 from both sides, simplify right side which gives you y = 3/4x -4

2) to get x-inter: plug in 0 for y and solve for x, the equation should look like 4x = -24, divide both sides by 4 which gives you x = -6

get y-inter: plug in 0 for x and solve for y, the equation should look like -3y=-24, divide both sides by -3 which gives you y = 8

3) plug in the points from the choices and go from there

4) slope formula: m = y2-y1/x2-x1

Answer:

I think it would be a curtain holder correct me if I’m wrong or got it wrong

Step-by-step explanation:

Answer: 5, 15

Step-by-step explanation:

Given

Mr. Ramirez purchased 20 concert tickets

The total price of 20 tickets is \(\$225\)

Concert ticket costs \(\$15\) for adults and \(\$10\) for children

suppose there are x adults and y children

\(\therefore x+y=20\quad \ldots (i)\\\\\Rightarrow 15x+10y=225\quad \ldots(ii)\)

Solving (i) and (ii) we get

\(x=5,\ y=15\)

So, there are 5 adults and 15 children