Evaluate the expression 1^4 + 3(10- 2 2)2 . Show your work.

The ordered pair (0,1) is not a solution to the inequality, as the line is dashed, meaning that points exactly on the line are not solutions to the inequality.

The general format of an ordered pair is given as follows:

(x,y).

For the ordered pair (0,1), we have that the coordinates are given as follows:

Hence the point is exactly at y = 1 on the y-axis, where the line crosses the y-axis. However, the line is dashed, meaning that it is not part of the solution.

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Answer:

Yes, it will overflow after 16 minutes..

Step-by-step explanation:

The tub fills at a rate of 5 gallons every minute, but it drains at a rate of 2.5 gallons every minute. This means that it fills twice as fast as it drains, so it would take 16 minutes for the tub to overflow. If you subtract the rate of draining from the rate of filling then the net rate of water going up is 2.5 gallons a minute.

The total number of goals scored by the team last season is 50.

The mode in maths is the value that appears most often in a set of data

(a) The modal number of goals scored is 3, since it has the highest frequency of 7.

(b) To work out the total number of goals scored, we need to multiply each number of goals by its frequency and then add up the results.

0 goals scored x 4 matches = 0

1 goal scored x 5 matches = 5

2 goals scored x 4 matches = 8

3 goals scored x 7 matches = 21

4 goals scored x 4 matches = 16

0 + 5 + 8 + 21 + 16 = 50

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The value of x is 21.68

We can use trigonometric ratios to calculate the required value.

cos θ = adjacent / hypotenuse

From the figure we know that,

Let us consider adjacent as 17.3 and hypotenuse as x.

Therefore,

cos θ = 17.3/x

cos 24° = 17.3/x

By further calculation, we get

x = 17.3/cos 37°

x = 17.3/0.798

So we get:

x = 21.68

The value of x is 21.68

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Answer:

x=21.7

Step-by-step explanation:

View the image attached

We can see this by noticing that \(6^2 = 36 < 37 < 49 =\) \(7^{2}\). Taking the square root of each expression, we get \(\sqrt36 < \sqrt37 < \sqrt49,\) which simplifies to \(6 < \sqrt37 < 7\).

The square root of a number is a value that, when multiplied by itself, gives the original number. In mathematical notation, the square root of a number "x" is represented by the symbol "√x". For example, the square root of 25 is 5, because 5 multiplied by 5 equals 25.

Given by the question.

\(\sqrt29\) lies between 5 and 6.

We can estimate this by recognizing that. \(5^2 = 25 < 29 < 36 =\) \(6^{2}\). Taking the square root of each expression, we get √25 < √29 < √36, which simplifies to \(5 < \sqrt29 < 6\).

\(\sqrt37\)lies between 6 and 7.

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Answer:

Step-by-step explanation:

Remark

Moving 6 points left is not going to alter the slope (or it shouldn't).

The x value has to have 6 subtracted from it. Leave the y value alone.

Givens

C: (-5-6,8) = (- 11,8)

D: (2-6,5) =  (-4,5)

Formula

m = (y2 - y1)/(x2 - x1)

Solution

m = (8 - 5)/(-11 - - 4)

m = 3 / - 7

m = - 0.429

Check

Let's find the slope of the original points.

(8 -5)/(-5 - 2) = 3/-7 which is the same thing.

Answer: 13.33

Step-by-step explanation:

The equation x = tan(y) can be obtained by using the definition of inverse.

To rewrite the equation with x as a function of y, we need to consider the inverse relationship between the tangent function (tan) and its inverse function (tan^-1 or arctan). By taking the inverse of both sides of the given equation \(tangent function\). This means that x is a function of y, where y represents the angle whose tangent is x. This step allows us to express the relationship between x and y in a form that can be differentiated implicitly.

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Answer

There are no solutions.

Step-by-step explanation:

Answer:

x =

0 = -3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step-by-step explanation:

\( \rm{tangent \: = \: opposite \:/ adjacent} \\ \rm{tan \: x \: = \: 40 \:/ 34} \\ \rm \: x \: = arctan \: (40 \:/ 34) \\ \: \rm {x \: = \boxed{49. \: 60°}}\)

Answer:

\( \frac{ - 300}{49} \)

or -6.122

Step-by-step explanation:

In answering this kind of questions, you must take note of BODMAS. that is;

B - Bracket

O - Of (multiplication)

D - Division

M - Multiplication

A - Addition

S - Subtraction

and you have to answer by the order above to get the correct answer. thank you

hope it helps .

Answer:

-6 176/189

Step-by-step explanation:

-8÷+12×9-4×6÷56÷7×2​=

-8÷108- 24÷56÷14=

-2/27-24×14÷56=

-2/27- 48/7=

-7 + 1/7- 2/27=

-7 + (27-14)/27*7=

-7+ 13/189=

-6 176/189

Therefore ,the solution to the given problem of proportion comes out to be karen got  £70.

The rule of three is used to link the measures because a proportion is a fraction of a total amount. It is possible to construct equation or relations between variables that are either direct (when both rise or decrease) or inverse proportional (when one increases and the other declines, or vice versa) in order to determine the necessary measures in the situation.

Here,

Given :

Siobhan and Ralph shared £700 in the

ratio 2:3.

Thus,

280 / 420 = 2/3

Thus,

Siobhan and Ralph has  £280 and £420  respectively.

and Siobhan gave a share of quarter to karen :

So,

280/4 =70

Therefore ,the solution to the given problem of proportion comes out to be karen got  £70.

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The ratio will be Illustrated this:

1 minute or news = 20 minutes of music

2 minutes if news = 40 minutes for music

3 minutes of news = 60 minutes of music

4 minutes of news = 80 minutes of music

The ratio is 1:20.

Ratio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).

The ratio will be Illustrated this:

1 minute or news = 20 minutes of music

2 minutes if news = 40 minutes for music

3 minutes of news = 60 minutes of music

4 minutes of news = 80 minutes of music

In this case, one has to just multiply by 20.

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Answer:

Your answer here will be 8. The 8 number start at 100 are: 100, 105, 110, 115, 120, 120, 125 and 125.  :)

Answer:

8 is answer

Step-by-step explanation:

The value of R expressed in standard form to an appropriate degree of accuracy as required in the task content is; 2.447 × 10⁶.

It follows from the task content that the equation given in the task content for R is;

R = x²/y.

Additionally, the values of x and y are given as; 3.8 × 10⁵ and 5.9 × 10⁴ respectively.

On this note, it follows from substitution that the value of R can be determined as follows;

R = (3.8 × 10⁵)²/(5.9 × 10⁴)

R = (3.8)² × (10⁵)²/5.9 × 10⁴

R = 14.44 × 10¹⁰/5.9 × 10⁴

It therefore follows from the quotient of powers law that we have;

R = (14.44/5.9) × 10⁶

R = 2.447 × 10⁶.

Therefore, the value of R expressed in standard form to an appropriate degree of accuracy as required in the task content is; 2.447 × 10⁶.

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Answer:

A.

Step-by-step explanation:

Since range is y-axis based, we are looking at the y-values. We see that the endpoints of the graphed segment are closed points, so they are included in the range. That eliminates B (exludes values) and C (Not infinity, it's a segment, not a line). Choice A is the best answer because when you identify the y-values, you get -8 to -3 included.

The probability of an event that has two possible outcomes is 1/2

This refers to the likelihood of an event occurring and this can be found by calculating using a mathematical model.

It should be noted that your question is incomplete so I gave you a general overview to help you get a better understanding of the concept.

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The probability that the sample proportion of households spending more than $125 a week is less than 0.34 is approximately 0.7344.

The probability that the sample proportion of households spending more than $125 a week is less than 0.34 is to be determined. The population proportion is given as 0.31, and a simple random sample of 110 households is selected.

To calculate the probability, we will use the sampling distribution of the sample proportion. The sampling distribution of the sample proportion follows a normal distribution when certain conditions are met, such as having a large enough sample size. In this case, the sample size is 110, which is considered large enough.

The mean of the sampling distribution of the sample proportion is equal to the population proportion, which is 0.31. The standard deviation of the sampling distribution, also known as the standard error, can be calculated as the square root of (p * (1 - p) / n), where p is the population proportion and n is the sample size. Plugging in the values, we have \(\sqrt{0.31 * (1 - 0.31) / 110)}\) ≈ 0.0479.

Next, we need to standardize the sample proportion of 0.34 using the formula z = (sample proportion - population proportion) / standard error. Plugging in the values, we have z = (0.34 - 0.31) / 0.0479 ≈ 0.626.

Finally, we can use the standard normal distribution table or a calculator to find the probability that a z-score is less than 0.626. The probability is approximately 0.7344.

Therefore, the probability that the sample proportion of households spending more than $125 a week is less than 0.34 is approximately 0.7344.

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Answer:

Monthly loan payment is $400.76 for 60 payments at 7.5%. ... monthly on the current outstanding balance of your loan at 1/12 of the annual rate. 0% ... Interest rate; Number of payments, and; Amount of money you need to borrow (the principal). ... For example, if the approximate term of the loan is 4 years or 48 months

Step-by-step explanation: Monthly loan payment is $400.76 for 60 payments at 7.5%. ... monthly on the current outstanding balance of your loan at 1/12 of the annual rate. 0% ... Interest rate; Number of payments, and; Amount of money you need to borrow (the principal). ... For example, if the approximate term of the loan is 4 years or 48 months, you ...

Answer:

7.5

Step-by-step explanation:

An earthquake's strength is measured on the Richter scale, which quantifies the amplitude of seismic waves produced by the earthquake. The Richter scale is logarithmic, meaning that each increase in one unit represents a tenfold increase in the wave's amplitude.

To determine approximately how many times stronger the wave amplitude (a) of one earthquake is compared to another, we can use the formula:

Strength = 10^(a - b)

Here, a represents the wave amplitude of one earthquake, and b represents the wave amplitude of another earthquake. The difference between the two amplitudes (a - b) is then used to calculate the strength of the earthquake.

Let's say earthquake A has a wave amplitude of 3, and earthquake B has a wave amplitude of 1. Using the formula, we can calculate the strength of earthquake A compared to earthquake B:

Strength = 10^(3 - 1) = 10^2 = 100

Therefore, earthquake A is approximately 100 times stronger than earthquake B in terms of wave amplitude.

In summary, to determine how many times stronger one earthquake's wave amplitude is compared to another, use the formula Strength = 10^(a - b), where a and b are the wave amplitudes of the earthquakes in question. The resulting number represents the factor by which one earthquake's amplitude is stronger than the other.

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In an ANOVA question, the option that is not a required assumption is (a) equal sample sizes. ANOVA assumes normality, homogeneity of variance, and independence of observations for accurate results.

The option that is not a required assumption for an ANOVA question is d) independence of observations. ANOVA (Analysis of Variance) is a statistical test used to compare the means of two or more groups. The assumptions of ANOVA include normality (the data follows a normal distribution), homogeneity of variance (the variances of the groups being compared are equal), and equal sample sizes (the number of observations in each group is the same). However, independence of observations is not a required assumption for ANOVA, although it is a desirable one. This means that the observations in each group should not be related to each other, and there should be no correlation between the groups being compared. However, it is robust to unequal sample sizes, especially when the variances across groups are similar, though equal sample sizes can improve statistical power.

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The table of values that represents exponential decay is (c)

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

The table of values

An exponential function is represented as

y = abˣ

Where

Rate = b

When the rate is less than 1, then the table represents a decay

i.e when y reduces as x increases

The table that has the above features is the table (c)

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There are 48 different possible outcomes.

The total number of possible outcomes in a scenario like this is determined by finding the product of the number of possible outcomes for each individual event.

Independent events are events that are not affected by each other and have no influence on each other's outcome. The probability of two independent events occurring together is the product of their individual probabilities.

When flipping a coin, there are 2 possible outcomes (heads or tails).

When rolling a fair die with 4 sides, there are 4 possible outcomes (1, 2, 3, or 4).

When rolling a fair die with 6 sides, there are 6 possible outcomes (1, 2, 3, 4, 5, or 6).

To find the total number of possible outcomes, we multiply the number of outcomes for each event:

2 * 4 * 6 = 48

Therefore, there are 48 different possible outcomes.

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Answer:

The answer is 32

Step-by-step explanation:

32+20=52

84-52=32

Answer:

rational and real

Step-by-step explanation:

A rational number is any number that can be described as the ratio of two integers. Here, -2 is an integer and 5 is an integer. The minus sign could be assigned to  either numerator or denominator. It's also a real number because it's on the number line and not made up or anything like that. Hope I could help you!! ❣

5

Step-by-step explanation:

your answer is 5 the greatest common factor is 5

10= 5

25=5

15= 5

When booking a show for a future date, it is normal practice for the booking agent to collect a 50% advance fee when the advances are not given for shows. This is to ensure that the performer is fully committed to performing at the event and to cover any expenses that may be incurred in the process.

The advance fee is usually non-refundable and is paid by the promoter or venue operator to the booking agent. This is to show their commitment to the performer and to demonstrate that they are serious about booking them for the event. The remaining balance is then usually paid on the day of the performance or shortly after.

The booking agent should also ensure that all parties involved in the booking are aware of the terms and conditions and have signed a contract or agreement to confirm their agreement.

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Answer:

(x+2)(x+1)(4x+1)(4x-3)

Step-by-step explanation:

(4x² + 5x)² - 5(4x² +5x) - 6

= (4x² + 5x)² - 6(4x² +5x) + 1(4x² +5x) -6

= (4x² + 5x)(4x² +5x -6) +1 (4x² +5x -6)

= (4x²+5x-6)(4x²+5x+1)

= (4x² + 8x - 3x - 6)(4x² + 4x + x +1)

= (4x(x + 2) - 3(x + 2))(4x(x+1) +1(x+1))

= (x+2)(4x-3)(x+1)(4x+1)