PLEASE HELP ME I AM BEING TIMED!!!

Answer:

c

Step-by-step explanation:

ax + by = c ( subtract ax from both sides )

by = - ax + c ( divide all terms by b )

y = - \(\frac{a}{b}\) x + \(\frac{c}{b}\)

Answer:

Dynamic equilibrium

Step-by-step explanation:

Dynamic equilibrium in the human body is achieved when there is an internal control which tends to oppose certain outside forces which could affect the body. It's known to be the ability to detect and respond to stimuli by living organisms. When these stimuli occur, there are feedbacks or responses that are sent or received by the body to maintain stability. This dynamic equilibrium of the internal environment can also be seen as homeostasis.

9514 1404 393

Answer:

  a) $96.65

  b) $28,995

  c) 51.7% to principal; 48.3% to interest

Step-by-step explanation:

a) The monthly payment is given by the amortization formula:

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

where P is the loan amount, r is the annual rate, and t is the number of years

Filling in the given values, we find ...

  A = $15,000(0.06/12)/(1 - (1 +0.06/12)^(-12(25))) ≈ $96.65

The monthly payment is $96.65.

__

b) The 300 payments total ...

  $96.65 × 300 = $28,995

The total amount paid is $28,995.

__

c) The percentage paid toward the principal is ...

  $15,000/$28,995 × 100% ≈ 51.7%

The remainder is paid toward interest: 100% -51.7% = 48.3%

51.7% is paid toward principal, 48.3% is paid for interest.

Answer:

b; vertically compressed by a factor of 2

Step-by-step explanation:

Here, we want to select from the options, the transformation that was not done on the parent function;

a) shifted up seven units

This was done

as we can see, we have + 7 from the initial 0 point

b) vertically compressed by a factor of 2

This is wrong

What we had is 1/2 multiplied by x

If there is any compressor done, it is to a factor of 1/2 and not 2

This, is thus our answer

Answer:

x=9

Step-by-step explanation:

Answer:

x=9

Step-by-step explanation:

Area of a rectangle = length * width

84 = (x-2) * ( x+3); distribute

84 = x²+3x-2x-6; combine like terms and subtract 84 from both sides

0 = x² +x -90

if x= 9 will have 9² +9 -90= 81 +9 -90 = 90-90 = 0 so x=9 works

if x= 10 will have 10² +10 -90 = 100-80= 20 ≠0 so x= 10 does NOT work

if x= -10  and x= -9 will not make sense because we can NOT have a negative measurement

The first year in which the taxpayer could receive a qualified distribution from the Roth IRA would be 2022.

To determine this, we need to look at the five-year rule for Roth IRA distributions. This rule states that a taxpayer must wait five years from the year of their first contribution to a Roth IRA before they can take a qualified distribution (i.e., a tax-free distribution of earnings and contributions).

Since the taxpayer made their first contribution for the 2018 tax year, the five-year clock starts on January 1, 2018. Therefore, the earliest year in which they could receive a qualified distribution is 2022.

It is important to note that there are other rules and exceptions that could affect when a taxpayer can take distributions from a Roth IRA,

such as age and disability, and that tax implications should also be considered when making decisions about Roth IRA contributions and distributions.

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(a) The graph of the linear functions is as attached.

(b) The equation of the linear function in slope-intercept form is; y = x

(c) The equation of the transformed function in slope-intercept form is;

y = x + 2 and y = x - 3

Functions are defined as the relationship between sets of values. For example, in the function; y = f(x), for every value of x there exists a set of y values.

x is the independent variable.

y is the dependent variable.

If the linear function is; y = x,

The equation of the transformation in slope-intercept form is given as;

For translation of 2 units up, we have;

y = x + 2

For a translation of 3 units down, we have;

y = x - 3

Thus, the required graph has been attached and the solution is determined.

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Answer:

0.363

Step-by-step explanation:

5^7x=60

x= ln(60)/7ln(5)

x= 0.363

Answer:

It's -3

Step-by-step explanation:

I got it right on Edge 2020

The intersect method involves spliting an equation to a system of equations

The solutions to the equation are (-1, 3) and (3,-5)

The equation is given as:

-2x + 1 = -x^2 + 4

Using the intersect method, we have the following equations

y = -2x + 1

y = -x^2 + 4

Next, we plot the graph of both equations

From the graph (see attachment), we have the following points of intersection

(x,y) = (-1, 3) and (3,-5)

Hence, the solutions to the equation are (-1, 3) and (3,-5)

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Answer: The Seasonal? brainleist if im right

Step-by-step explanation:

A. statistically significant difference in the mean blood hemoglobin levels between breastfed infants and formula-fed infants at α = 0.05.

B. the 95% confidence interval for the difference in population means between breast-fed infants and formula-fed infants is (−0.06, 1.18).

C. Both the hypothesis test and the confidence interval lead to the same conclusion that there is a difference in the mean blood hemoglobin levels between the two feeding regimens.

What is null hypothesis?

In statistics, the null hypothesis (H0) is a statement that assumes that there is no significant difference between two or more groups, samples, or populations.

(a) To test the hypothesis that there is a difference in the population means between breast-fed infants and formula-fed infants, we can use a two-sample t-test with equal variances. The null hypothesis is that the population means are equal, and the alternative hypothesis is that they are not equal. Using α = 0.05 as the significance level, the critical value for a two-tailed test with 40 degrees of freedom is ±2.021.

The test statistic can be calculated as:

t = (x1 - x2) / (Sp * √(1/n1 + 1/n2))

where x1 and x2 are the sample means, Sp is the pooled standard deviation, and n1 and n2 are the sample sizes. The pooled standard deviation can be calculated as:

Sp = √(((n1 - 1) * s1² + (n2 - 1) * s2²) / (n1 + n2 - 2))

where s1 and s2 are the sample standard deviations.

Plugging in the values from the table, we get:

t = (13.3 - 12.4) / (1.776 * √(1/23 + 1/19)) = 2.21

Since the absolute value of the test statistic is greater than the critical value, we reject the null hypothesis and conclude that there is a statistically significant difference in the mean blood hemoglobin levels between breastfed infants and formula-fed infants at α = 0.05.

(b) To construct a 95% confidence interval for the difference in population means between breast-fed infants and formula-fed infants, we can use the formula:

(x1 - x2) ± tα/2,Sp * √(1/n1 + 1/n2)

where tα/2,Sp is the critical value of the t-distribution with (n1 + n2 - 2) degrees of freedom and α/2 as the significance level.

Plugging in the values from the table, we get:

(x1 - x2) ± tα/2,Sp * √(1/n1 + 1/n2)

= (13.3 - 12.4) ± 2.021 * 1.776 * √(1/23 + 1/19)

= 0.56 ± 0.62

Therefore, the 95% confidence interval for the difference in population means between breast-fed infants and formula-fed infants is (−0.06, 1.18).

(c) The hypothesis test and the confidence interval both lead to the conclusion that there is a difference in the mean blood hemoglobin levels between breast-fed infants and formula-fed infants. In part (a), we rejected the null hypothesis that the population means are equal, which means we concluded that there is a difference. In part (b), the confidence interval does not contain 0, which means we can reject the null hypothesis that the difference in means is 0 at the 95% confidence level.

Therefore, both the hypothesis test and the confidence interval lead to the same conclusion that there is a difference in the mean blood hemoglobin levels between the two feeding regimens.

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The total number of stickers the 2 children had was 192 stickers.

Let x represent Mary initial stickers, y represent Gary initial stickers and z represent the total stickers.

x + y = z

They shared in the ratio of 5:3, hence:

x = (5/8)z

Mary gives 1/3 of her stickers to Gary to have 32 more stickers than her.

(1/3)x = (1/3)(5/8)z = (5/24)z

y + (1/3)x = (2/3)x + 32

Solving equation 1, 2 and 3 gives:

x = 120, y = 72, z = 192

The total number of stickers the 2 children had was 192 stickers.

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Answer: what is the question though

Step-by-step explanation:

Taner will only need to run 3 km this week to complete his 6 km running goal.

If we require a definition, we may start by saying that fractional numbers are numbers that symbolize one or possibly more portions of a unit that has been subdivided into equal parts.

Given that, Taner's overall running goal is 6 km (including last week and this week)

So,

Taner's 2-week goal is 6 kilometres.

Now,

Taner's goal for the week is 3 kilometres = (6/2).

As the Taner completed 3 km of running last week. Taner can achieve his objective this week by running just 3 miles.

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Answer: Forma Decimal: -2, 0.5

Answer:

\(-\frac{4}{5}\)

Step-by-step explanation:

Slope is: \(m=\frac{y_2-y_1}{x_2-x_1}\)

We are given the points (0,3) and (5,-1).

\(m=\frac{-1-3}{5-0}=\frac{-4}{5} =-\frac{4}{5}\)

The slope is -4/5.

Answer:

y=mx+b

y=8/10x+(0,3)

Step-by-step explanation:

hope this helps

Answer:

49th term = 225

Step-by-step explanation:

The following sequence: -15, -10, -5, 0, -5... is an example of an arithmetic progression.

An arithmetic progression or AP for short, is a sequence in which the difference between successive terms is constant. This difference is known as the common difference, and can be found by subtracting a term by its preceding term.

The general formula, for the nth term of an arithmetic progression, is thus:

Tn = a + (n - 1)d, where a = first term, and d = common difference.

In the sequence: -15, -10, -5, 0, 5...,

a = -15, and d = -10--15 = 5

T49 = -15 + (49 - 1)5 = 225

∴ 49th term = 225

==================================================

Work Shown:

\(y = \frac{4x+30}{x+5}\\\\y = \frac{4x+20+10}{x+5}\\\\y = \frac{(4x+20)+10}{x+5}\\\\y = \frac{4(x+5)+10}{x+5}\\\\y = \frac{4(x+5)}{x+5}+\frac{10}{x+5}\\\\y = 4+\frac{10}{x+5}\\\\\)

Therefore, a = 10

--------------

As an alternative approach, we could work in reverse like this:

\(y = 4+\frac{a}{x+5}\\\\y = 4*\frac{x+5}{x+5}+\frac{a}{x+5}\\\\y = \frac{4(x+5)}{x+5}+\frac{a}{x+5}\\\\y = \frac{4(x+5)+a}{x+5}\\\\y = \frac{4x+20+a}{x+5}\\\\\)

Then notice that the 20+a must be 30, so solving 20+a = 30 leads to a = 10

--------------

As yet another alternative approach (well I suppose it's actually 2 extra approaches) we could use either polynomial long division or synthetic division. Either way, you should end up with a remainder of 10, which corresponds directly to a = 10

Answer:

6.5 x 5=32.5

67.5/100 x 30,000= $20,250

The finite population correction factor is used in computing the standard error of the sample mean when the sample size is smaller than 5% of the population size.

The finite population correction factor is a adjustment made to the standard error of the sample mean when the sample is taken from a finite population, rather than an infinite population.

It accounts for the fact that sampling without replacement affects the variability of the sample mean.

When the sample size is relatively large compared to the population size (more than half), the effect of sampling without replacement becomes negligible, and the finite population correction factor is not necessary.

In this case, the standard error of the sample mean can be estimated using the formula for sampling with replacement.

On the other hand, when the sample size is small relative to the population size (less than 5%), the effect of sampling without replacement becomes more pronounced, and the finite population correction factor should be applied.

This correction adjusts the standard error to account for the finite population size and provides a more accurate estimate of the variability of the sample mean.

Therefore, the correct answer is option 2: the finite population correction factor is used when the sample size is smaller than 5% of the population size.

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Verifying the approximation,0.005,42 ≈ 0.0054

The given question requires verification of the approximation 0.005,42, expressed in decimal notation and rounded to four decimal places. By evaluating the given number, we can approximate it as 0.0054.

In the approximation process, we focus on the digit immediately after the decimal point. If it is less than 5, we drop it, and if it is 5 or greater, we round up the preceding digit. In this case, the digit after the decimal point is 4, which is less than 5. Therefore, we drop it, resulting in the approximation of 0.005,42 as 0.0054.

By following the rounding rules for decimal approximation, we can verify that the approximate value of 0.005,42 is indeed 0.0054.

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The box starts at 13 and ends at 24, with a line at 17 inside the box. The whiskers extend from 5 to 30.

The box-and-whisker plot of the given data 15, 8, 5, 18, 20, 13, 30, 28, 9, 15, 17, 24, 15, 18, 26 is as follows:

Minimum: 5

First quartile: 13

Median: 17

Third quartile: 24

Maximum: 30

To draw the box-and-whisker plot, we first need to find the five-number summary of the data, which consists of the minimum, the first quartile, the median, the third quartile, and the maximum. The box represents the middle 50% of the data, with the bottom of the box at the first quartile and the top of the box at the third quartile.

The box starts at 13 and ends at 24, with a line at 17 inside the box. The whiskers extend from 5 to 30.

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-2x = 28 - 6x --------------------------> Given

-2x + 6x = 28 - 6x + 6x------------------------------>Addition property of equality

4x = 28 -----------------------------------------> Simplification

4x/4 = 28/4 --------------------------------->Division property of equality

x = 7 --------------------------------------->Simplification

If a line parallel to one side of a triangle contacts the other two sides of the triangle, the line proportionally splits these two sides. If DE = BC, then ADDB=AEEC.

If a line parallel to one side of a triangle contacts the other two sides, the two sides are proportionately divided.

The formula for a proportional equation is y = kx. The letters y and x denote the variables in the equation. The letter k represents the proportionality constant, which is fixed.

Because matching angles produce the AA similarity shortcut, when a line is drawn parallel to one side of a triangle, two similar triangles are generated. Because the triangles are comparable, the parallel line segments are proportionate segments.

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Answer:

Step-by-step explanation:

If the whole length of DEF is given as 7, and segment DE is 2, then segment EF is 7 - 2 = 5