100 points please solve fast! Brainliest please!

\(\textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b \\\\[-0.35em] ~\dotfill\\\\ \log_2(x)=-5\implies 2^{-5}=x\)

Answer:

y=mx+b

Step-by-step explanation:

so it basically 36.16

Step-by-step explanation:

4x9=36

4x4=16

36.16

No, molar mass is a constant and does not depend on pressure or temperature.

Molar mass is a physical property of a substance and is the mass of one mole of a given substance. It is a constant value that represents the amount of grams of a substance that contains 022 x 1023 atoms or molecules. Since molar mass is a constant, it does not depend on pressure or temperature. Pressure and temperature can affect the physical and chemical properties of a substance, but they do not have an effect on the molar mass. The molar mass of a substance can be useful in determining molecular and empirical formulas, as well as calculating densities and molar concentrations.

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Answer:

given slope of 2 and a y intercept of 0

f(x) = 2x

Given:

A dice is rolled.

To find:

How many times a six-sided dice needs to be rolled to obtain the number 4 twenty times.

Solution:

We know that, if we roll a dice then the possible outcomes are 1, 2, 3, 4, 5, 6.

Total possible outcomes = 6

So, the probability of getting a 4 in one roll is:

\(P(4)=\dfrac{1}{6}\)

Let n be the number of times the dice is rolled to obtain the number 4 twenty times. Then,

\(\dfrac{1}{6}\times n=20\)

\(\dfrac{n}{6}=20\)

\(n=20\times 6\)

\(n=120\)

Therefore, the correct option is C.

The correct property of equality to solve each equation is x=24.

We have given that,

Identify the correct property of equality to solve each equation.

3+x=27

The multiplication property of equality states that when we multiply both sides of an equation by the same number, the two sides remain equal.

For this case, we must solve the following equation

3+x=27

Subtracting 3 on both sides of the equation we have

3+x-3=27-3

x=24

We observe the property of equality of subtraction.

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In a study of 50 students, 30 were found to play soccer while the remaining 20 played hockey. The research indicates that soccer players have a 10% chance.

The study involving 50 students revealed that soccer is the preferred sport for the majority, with 30 students playing it. On the other hand, 20 students were identified as hockey players. The research findings indicate that soccer players have a 10% chance. This means that out of the 30 soccer players in the study, 10% of them are likely to experience a certain outcome or event. However, the specific event or outcome related to the 10% chance is not mentioned in the provided information.

It's important to note that without further context, it is unclear what the 10% chance refers to. It could be related to various aspects, such as scoring a goal, winning a match, or sustaining an injury. Additional details would be required to accurately interpret the significance of the 10% chance in the context of soccer players in the study.

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Answer:

7.21 units

Step-by-step explanation:

The shortest length needed to connect the house to the existing pipeline is the perpendicular distance between the location of the house (2,9) and the line y = 2/3x - 1.

The perpendicular distance (d) between a point (\(x_1,y_1\)) and the line Ax + By + C  = 0 is given as:

\(d=\frac{|Ax_1+By_1+C|}{\sqrt{A^2+B^2} }\)

The line is given by y = 2/3 x - 1; 2/3x - y - 1 = 0. The point = (2, 9)

hence A = 2/3, B = -1, C = -1, \(x_1=2,y_1=9\\\). Therefore:

\(d=\frac{|\frac{2}{3}(2)+(-1)(9)+(-1) |}{\sqrt{\frac{2}{3}^2+(-1)^2 } } \\\\d=7.21\)

Answer:

160°

Step-by-step explanation:

Take notice that m∠1 and m∠2 are supplementary angles, meaning their angle measures will add up to 180°.

Since we know m∠2, we can find m∠1 easily.

180-20=160°

Hope this helped!

The Taylor polynomials \(T_2(x)\) and \(T_3(x)\) for \(f(x) = 22\sin(x)\) centered at \(x = 2\pi\) are: \(T_2(x) = 22x - 44\pi\)

\(T_3(x) = 22x - 44\pi - \frac{11}{3}(x - 2\pi)^3\) . Let's determine:

To find the Taylor polynomials \(T_2(x)\) and \(T_3(x)\) centered at \(x=a\) for the function \(f(x) = 22\sin(x)\), where \(a = 2\pi\), we need to calculate the derivatives of \(f(x)\) at \(x = a\) and evaluate the polynomial expansions up to the desired degree.

First, let's calculate the derivatives of \(f(x)\) with respect to \(x\):

\(f'(x) = 22\cos(x)\)

\(f''(x) = -22\sin(x)\)

\(f'''(x) = -22\cos(x)\)

Next, we'll evaluate the derivatives at \(x = 2\pi\):

\(f'(2\pi) = 22\cos(2\pi) = 22\)

\(f''(2\pi) = -22\sin(2\pi) = 0\)

\(f'''(2\pi) = -22\cos(2\pi) = -22\)

Now we can construct the Taylor polynomials:

\(T_2(x) = f(a) + f'(a)(x - a) + \frac{1}{2}f''(a)(x - a)^2\)

Substituting the values, we have:

\(T_2(x) = 22\sin(2\pi) + 22(x - 2\pi) + \frac{1}{2} \cdot 0 \cdot (x - 2\pi)^2\)

Simplifying, we get:

\(T_2(x) = 22\pi + 22(x - 2\pi)\)

\(T_2(x) = 22x - 44\pi\)

Similarly, for \(T_3(x)\), we include the third derivative term:

\(T_3(x) = f(a) + f'(a)(x - a) + \frac{1}{2}f''(a)(x - a)^2 + \frac{1}{6}f'''(a)(x - a)^3\)

Substituting the values, we have:

\(T_3(x) = 22\sin(2\pi) + 22(x - 2\pi) + \frac{1}{2} \cdot 0 \cdot (x - 2\pi)^2 + \frac{1}{6}(-22)(x - 2\pi)^3\)

Simplifying, we get:

\(T_3(x) = 22\pi + 22(x - 2\pi) - \frac{11}{3}(x - 2\pi)^3\)

\(T_3(x) = 22x - 44\pi - \frac{11}{3}(x - 2\pi)^3\)

Therefore, the Taylor polynomials \(T_2(x)\) and \(T_3(x)\) for \(f(x) = 22\sin(x)\) centered at \(x = 2\pi\) are:

\(T_2(x) = 22x - 44\pi\)

\(T_3(x) = 22x - 44\pi - \frac{11}{3}(x - 2\pi)^3\)

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The sampling method that assumes a sample's average audited value will, for a certain sampling risk and allowance for sampling risk, represent the true audited value of the population is point estimation.

Point estimation is an estimate of the value of a quantity based on an observed sample of that quantity. A point estimator estimates the value of an unknown parameter in a statistical model. In point estimation, a single value (known as a statistic) is used to infer the unknown population parameter value. It is determined by applying a formula to the sample data, resulting in a single numerical value (known as a point estimate). This value is used to estimate the parameter of the population. In the process of auditing, allowances refer to the amounts that a company sets aside for doubtful accounts receivable and sales returns and allowances.

True Audited Value refers to the assessed value of a property that has been audited to determine its correct value. True Audited Value is often utilized by tax authorities in order to assess property tax or for property appraisal.

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Vince walked 36km  on the 1st day of the trip

given that Vince went on a 3-day hiking trip. Each day, he walked 3/4 of the distance that he walked the day before. He walked 83.25 kilometers total during the trip and asked to find out How far did Vince walk on the 1st day of the trip

Total distance walked = 83.25km

Let's assume the distance walked by Vince on day 1 is "a"

Distance walked by Vince on 2nd day=\((\frac{3}{4} )\)a

Distance walked by Vince on 3rd day=\((\frac{3}{4}) ^{2}\)a

Total distance walked = 83.25km=a+a\((\frac{3}{4} )\)+a\((\frac{3}{4}) ^{2}\)

⇒a + 0.75a + 0.5625a = 83.25

⇒2.3125a = 83.25

⇒\(a=\frac{83.25}{2.3125}\)

⇒a=36km

Therefore, on day 1 Vince walked 36 kilometers

Hence, Vince walked 36km  on the 1st day of the trip

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Answer:

answer is 28 degree..

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The null hypothesis is that the population mean of female "like" ratings of male dates is equal to 6.00, and the alternative hypothesis is that it is less than 6.00. A one-tailed t-test will be used to test the hypothesis.

H0: μ = 6.00

Ha: μ < 6.00

The test statistic is calculated using the formula:

t = (x - μ) / (s / sqrt(n))

Substituting the given values, we get:

t = (5.88 - 6.00) / (2.06 / sqrt(195)) = -1.64

The degrees of freedom are n-1 = 194. Using a t-distribution table, the P-value is found to be 0.051.

Since the P-value (0.051) is greater than the significance level (0.05), we fail to reject the null hypothesis. There is not enough evidence to suggest that the population mean of female "like" ratings of male dates is less than 6.00 at a significance level of 0.05.

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Answer:

(-2,2)     see attached diagram

Step-by-step explanation:

see graph

The amount of natural gas that homeowners can expect to use per month is influenced by various factors, including insulation levels and outdoor temperature.

However, without additional information or an established relationship between these factors, it is not possible to provide a precise estimate.

Insulation levels and outdoor temperature are just a few of the many factors that affect natural gas usage.

Other factors such as the size and efficiency of the heating system, the size and layout of the home, the insulation of walls and windows, and individual usage patterns can significantly impact gas consumption.

To obtain a more accurate estimate, it is recommended to consult energy professionals, utility companies, or use energy consumption calculators specifically designed for estimating natural gas usage based on multiple variables.

These tools take into account various factors to provide a more accurate estimation of monthly natural gas consumption.

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The null hypothesis states that the proportion of students majoring in nursing is less than or equal to 30%, while the alternative hypothesis suggests that the proportion is greater than 30%

The correct set of hypotheses for testing the newspaper's claim about the proportion of students majoring in nursing would be as follows:

Null hypothesis (H0): The proportion of students majoring in nursing is less than or equal to 30%.

Alternative hypothesis (H1): The proportion of students majoring in nursing is greater than 30%.

In symbolic notation, it can be represented as:

H0: p ≤ 0.30

H1: p > 0.30

Where "p" represents the population proportion of students majoring in nursing. The null hypothesis assumes that the proportion is equal to or less than 30%, while the alternative hypothesis suggests that the proportion is greater than 30%.

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Answer: the answer is $9,600

Step-by-step explanation:

option A = 40(24)   =  option B = x (.1)       where x is her gross sales

40(24) = x(.1)

40(24)/.1 = x = sales = $9600

The graph will be a shaded region above and including the straight line y = (3/2)x-1.

We are asked to graph the inequality y ≥ (3/2)x-1. Describing the graph of an inequality, it will be a region on one side of a straight line.

So first we need to sketch the straight line, y = (3/2)x-1.

So find two points (x, y) satisfying this equation of line because a line need at least two points.

x       y  

0       -1

2/3     0

So first sketch a line joining the points (0, -1) and (2/3,0). This line will lie below the origin. That is, origin lies on the region above this line.

So the line y = (3/2)x-1 divided the plane into two regions, one of which represents the inequality y ≥ (3/2)x-1. So to find this required region we will check if origin lies in the region for inequality.

Substituting (0, 0) into y ≥ (3/2)x-1,

0 ≥ -1, which is true.

Thus in the graph, the region for inequality is the region where the origin lies. Hence shade the region above the line y = (3/2)x-1. This is the graph of the inequality y ≥ (3/2)x-1.

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Before you can multiply two matrices together, the number of  columns in the first matrix must equal the number of rows in the second matrix.

What is the short definition of the Matrix?

The number of rows in the second matrix must be equal to the number of columns in the first matrix for matrix multiplication to be defined.

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Answer:

The radical sign

Step-by-step explanation:

In the picture 3 is called the radical sign. So option 3 is correct.

Answer:

its c

Step-by-step explanation:

Answer/Step-by-step explanation:

Equation to represent the daily rental cost for each type of truck can be written as follows:

Daily rental cost for Trucks-A-Lot = 42 + 0.72m

Daily rental cost for Move-in-Truckers = 70 + 0.12m

Where, m = Emily's mileage

To determine the number of miles for which the truck cost the same amount, set both equations equal to each other and solve for m.

Collect like terms

Divide both sides by 0.6

At approximately 47 miles, both trucks would cost the same amount.

Check:

Daily rental cost for Trucks-A-Lot = 42 + 0.72m

Plug in the value of x = 47

= 42 + 0.72(47) = $75.84 ≈ $76

Daily rental cost for Move-in-Truckers = 70 + 0.12m

Plug in the value of x = 47

= 70 + 0.12(47) = $75.64 ≈ $76

To calculate (f-g)(x) we simply subtract g from f and the organize the powers in descending order

we get

So (f-g)(x) = x^2-14x+33

Answer:

It will take 11/30(cistern/hour) for the tank to be full

Answer:

if your solving for y the answer would be y= - 3sin(2x)+3cos(2x)X√3 -1,x∈R /2

Step-by-step explanation:

If you also want extra help with these math problems you can also download Photomath

Therefore , the solution of the given problem of slope comes out to be

m =-1/5 and b =5 units.

The slope of a line determines how steep it is. A characteristic of a color filter equation is a gradient overflow. The horizontal distance disparities (run) between two points are divided by the average vertical differences (rise) between the exact two points to determine the slope. The equation y = mx + b, which is known as the hill type equation, is used to express the fixed path issue. If grading is m, a = b, and the line's y-intercept is located there (0, b).

Here,

Given :

From the given graph we get

Points(0,5)  and (1,0)

So,

Slope m = 1-0 /0-5

=> m= -1/5

and

For b

=> b = 5 units.

Therefore , the solution of the given problem of slope comes out to be

m =-1/5 and b =5 units.

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