Given the function g(x) = -7x + 12, find g(4).

Answer:

3 quarts

Step-by-step explanation:

4/1 = 12/3 so 12 cups =3 quarts

The time taken for the for the train to arrive is 11.2 hours.

1) We have;

distance (d) = 616 miles

Speed (v) = 55 miles per hour

time (t) = distance/speed = 616 miles/55 miles per hour = 11.2 hours

2) We have;

Interest (I) =  $3,360

Principal (P) = $6,000

Rate (R) = 7%

Time = 100 I/PR

Time = 100 × 3,360/6,000 × 7

Time = 8 years

3) Area (A) = 84 square meters

Height (h) = 12 meters

Base (b) = 2 A/h = 2 × 84/12 = 14 meters

4) Perimeter = 37 inches

width = 10 inches

length = P/2 - w = 37/2 - 10 = 8.5 inches

5) V = πr^2h

For the first cylinder;

V = 2009.6 cubic centimeters

h = 10 centimeters

r = √V/πh

r = √2009.6 /3.14 × 10

r = 8 centimeters

For the second cylinder;

r = √V/πh

r = √196.25/3.14 × 10

r= 2.5 centimeters

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Answer:

if f(x) = x^2 which equation represents function g?

Step-by-step explanation:

maby ( C) am not sure

The equation represents the function is g(x) = 3f(x).

A function is an expression, rule, or law in mathematics that describes a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are common in mathematics and are required for the formulation of physical relationships in the sciences.

We have,

Function, f(x) = x²

The function g(x) is compressed horizontally by a factor of 3, to get the function g(x)

g(x) = kf(x)

Where k = 3.

So, we have:

g(x) = 3f(x)

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Answer:

y = 10(1.01)^60

Step-by-step explanation:

The general equation of exponential growth is

y = ab^x

b has to do with the rate of growth.

b = 1 + r, so in this case, b = 1 + 1% = 1 + 0.01 = 1.01.

Now we have

y = a(1.01)^x

a is the initial value, so now we have

y = 10000(1.01)^x

where y is the number of books after x months

Since you need the number of books after 5 years, we must convert 5 years into months.

5 years * (12 months)/year = 60 months

The problem wants the expression in thousands of books, so we divide the initial value by 1000.

Answer: y = 10(1.01)^60

   Expression representing the number of books after 5 years,              

                           \(A(60)=10000(1.01)^{60}\)

          \(A(t)=A_0(1+r)^t\)

          Here, \(A(t)=\) Final amount

          \(A_0=\) Initial amount

           \(r=\) Growth rate

           \(t=\) Duration or time

Given in the question,

Substitute these values in the expression,

\(A(t)=A_0(1+r)^t\)

\(A(60)=10000(1+0.01)^{60}\)

      Therefore, expression representing the number of books after 5 years will be → \(A(60)=10000(1.01)^{60}\)

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Method of sampling applies to populations that are divided into natural subsets and allocates the appropriate proportion of samples to each subset: Stratified sampling. The correct answer is D.

Stratified sampling is a technique used in research where a population is divided into natural subsets or strata based on specific characteristics or attributes. Each stratum is then proportionally represented in the sample to ensure accurate representation of the overall population.

This method helps to improve the accuracy and precision of the results obtained, as it takes into consideration the variability within the different subgroups of the population. In contrast, continuous process sampling, systematic sampling, and cluster sampling are other types of sampling methods that do not specifically allocate proportional samples to each subset in a divided population. The correct answer is D.

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Complete question:

Which method of sampling applies to populations that are divided into natural subsets and allocates the appropriate proportion of samples to each subset?

a. Continuous process sampling

b. Systematic sampling

c. Cluster sampling

d. Stratified sampling

Given:

a.) A person had 14,000 infested in two accounts.

b.) One paying 9% simple interest.

c.) One paying 10% simple interest.

Let,

x = the amount invested at 9% simple interest

y = the amount invested at 10% simple interest

1.) We know the total amount of money invested is $14,000. We get,

x + y = 14,000

2.) We know that the total interest for the year for the two accounts is $1432. We get,

0.09*x + 0.1*y = 1,339

Let's equate the two equations,

x = 14,000 - y (Substitute for x)

0.09*(14,000 - y) + 0.1*y = 1,339

1,260 - 0.09y + 0.1y = 1,339

0.1y - 0.09y = 1,339 - 1,260

0.01y = 79

0.01y/0.01 = 79/0.01

y = 7,900

Therefore, $7,900 was invested at the rate of 10% simple interest.

Let's determine x, substituting y = 7,900 in x + y = 14,000.

x + y = 14,000

x + 7,900 = 14,000

x = 14,000 - 7,900

x = 6,100

Therefore, $6,100 was invested at the rate of 9% simple interest.

if n decreases then the value of level of significance of each samples \(\alpha\) decreases

1. Critical Value: The value of the statistic for which the test just rejects the null hypothesis at the given significance level.

2. Power of the Test: The probability that the test correctly rejects the null hypothesis when the alternative is true.

3. Significance Level: The prescribed rejection probability of a statistical hypothesis test when the null hypothesis is true.

4. Size of the test: The probability that the test incorrectly rejects the null hypothesis when it is true.

if n decreases then the value of level of significance of each samples \(\alpha\) decreases and hence 1- \(\alpha\) increases which are called the rejection of test sample increases

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Answer:

Step-by-step explanation:

Answer A

Answer:

Line a and c are parallel

Step-by-step explanation:

Well, you find the slope of each of the lines. In doing so, you find that a and c have the same slope of 1. Then, you can ignore b and find the y intercept of a and c. Because the y-intercepts are different numbers, the lines are parallel.

Answer: a and c

Step-by-step explanation:

     To see if any of these lines are parallel, we will find the slopes of all three. Slope can be found with change in y over change in x.

      Slope = \(\displaystyle \frac{y_2-y_1}{x_2-x_1}\)

Line a;

\(\displaystyle \frac{0--2}{1--1}=\frac{2}{2} =1\)

Line b;

\(\displaystyle \frac{-2-2}{2-4} =\frac{-4}{-2} =2\)

Line c;

\(\displaystyle \frac{1-2}{-1-0} =\frac{-1}{-1}=1\)

           Lines a and c are parallel.

Answer:

-2x+14

Step-by-step explanation:

simplify the equation and thats your answer

x^2+ y^2-2x-2y = 0 has center (1,1) and radius sqrt 2 and the circle x^2+y^2 =1 has center (0,0) and radius 1

the unit circle has center

(1,1)  , ( 0,0)

and the unit circle has radius

1 , sqrt 2

for this the equation of the circle is

x^2 + y^2 = 1

if we take center as (0,0) then radius become 1

therefore equation of circle becomes x^2 +y^2 =1

similarly if we take center ( 1,1 ) and radius sqrt 2

then (x -1 )^2 + ( y-1 )^2 =2

x^2 +y^2 -2x- 2y +2 =2

this implies x^2 +y^2 -2x -2y =0

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Answer:

6.25

Step-by-step explanation:

6 1/4 = 25/4 = 6.25

So, 6 and 1/4 as a whole number is 6.25

Answer

= 5/7 m+2n+3 is your answer

Hey do you need an explanation let me know if you doo!!!

Step-by-step explanation:

\( =\tt \frac{3}{7} m - 3 + 4n + \frac{2}{7} m - 2n + 6\)

\( =\tt \frac{3}{7} m + \frac{2}{7} m + 4n - 2n + 6 - 3\)

\(\color{plum} =\tt \frac{5}{7}m + 2n + 3 \)

○=> Therefore,

\( \color{hotpink}\tt \frac{3}{7} m - 3 + 4n + \frac{2}{7} m - 2n + 6 \color{plum}= \frac{5}{7} m + 2n + 3\)

The standard form of the rational number -36/216​ is -1/6.

Rational numbers are in the form of p/q, where p and q can be any integer and q ≠ 0. This means that rational numbers include natural numbers, whole numbers, integers, fractions of integers, and decimals (terminating decimals and recurring decimals).

The given rational numbers are 35/15 and -36/216​

If the denominator of a rational number is a positive integer and there is only one other common factor between the numerator and denominator, the number is said to be in the standard form.

(i) Here, 35/15

Divide both the numerator and denominator by 7, we get

7/3

(ii) -36/216​

Divide both the numerator and denominator by 36, we get

-1/6

Therefore, the standard form of the rational number -36/216​ is -1/6.

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"Your question is incomplete, probably the complete question/missing part is:"

Reduce the following rational numbers in standard form.

(i) 35/15

(ii) -36/216​

Answer:

k = 29

29 + 6 = 35

-3 + 5 = 2

35 + 2 = 37

Answer:

The total distance he drove is 350 miles, with an average speed of 46.67 miles/hour.

Step-by-step explanation:

Let \(t_1\) and \(t_2\) be the time of driving at a slower rate and at a faster rate respectively.

Given that the total distance = d

The speed for the first 150 miles = 60 miles/hour.

So, \(150=60\times t_1\) [ as distance = speed x time]

\(\Rightarrow t_1=2.5\) hours.

The remaining distance \(= d-150\) miles.

Speed for the remaining distance = 60 miles/hour.

As the time he spent driving at the faster speed was twice the time he spent driving at the slower speed,

So, the time of driving at a faster rate, \(t_2 = 2t_1=2\times2.5=5\) hours

So, \(d-150=60\times t_2\) [ as distance = speed x time]

\(\Rightarrow d-150=20\times 5=100\)

\(\Rightarrow d = 100+150=350\) miles.

The average speed of the journey = (Total distance)/(Total time taken )

\(=d/(t_1+t_2)\)

=350/(2.5+5)

=350/7.5

=46.67 miles/hour.

Hence, the total distance he drove is 350 miles, with an average speed of 46.67 miles/hour.

Answer:

Slope is represented by the letter M and the y-intercept is represented by the letter B and is where the graph intersects the y axis.

Step-by-step explanation:

y = mx+b, where y and x are variables and m is the slope and b is the y-intercept

Hope that helps

Answer:

2

Step-by-step explanation:

Answer:

Step-by-step explanation:

One of the Answers is C

The line that models the data points better is Red, because it goes through one of the points.

Data is information that has been organized and processed in a meaningful way. It is the raw material of digital systems and the foundation of all computer-based operations. It can be stored, retrieved, and manipulated in a variety of ways, and it is used to generate insights, drive decisions, and build solutions. Data can come from a variety of sources, including manual entry, sensors, databases, and the internet.

This is a better model than Blue, because the data points are not all close to the line, and having the line go through one of the points ensures that the line is better representing the points. Additionally, having three points above the line and three points below the line helps to make the line a better model of the data points, as it is more evenly distributed.

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You can use the following formula:

A = (b*h)/2

Where:

b = Base = 12cm

h = Height = 6cm

So:

A = (12*6)/2 = 72/2 = 36cm²7

Answer:

\(8x - 5 + 2x \\ 10x - 5 \\When x=-1 ; \\ 10( - 1) - 5 \\ - 10 - 5 = - 15\)

I hope I helped you^_^

This refers to the ratio between the scale of a given original object and a new object. It is its representation but of a different size (bigger or smaller). For example, if we have a rectangle of sides 2 cm and 4 cm, we can enlarge it by multiplying each side by a number, say 2.

Solving for the area and scale factor we have:

L= 5 units

W = 2 units

A = (5 x 2)

A = 10 square units.

A= (Scale factor of  L * W)*  L * W

= (2 x 2 x 5 x 2)

A = 40 square units.

A= (Scale factor of  L * W)*  L * W

= (3 x 3 x 5 x 2)

A= 90 square units

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We can conclude that the critical t-value that corresponds to 99% confidence and 8 degrees of freedom is approximately 3.355. This means that if we conduct a t-test with these parameters and obtain a t-statistic greater than 3.355 or less than -3.355, we would reject the null hypothesis at the 99% confidence level.

To find the critical t-value that corresponds to 99% confidence and 8 degrees of freedom, we can use a t-distribution table or a calculator.

Using a t-distribution table, we can locate the row for 8 degrees of freedom and the column for a two-tailed 0.01 (1% divided by 2) significance level. The intersection of these values gives us a critical t-value of approximately 3.355.

Alternatively, we can use a calculator or software that has a built-in function for finding critical t-values. For example, using the function TINV(0.01,8) in Microsoft Excel, we get a critical t-value of approximately 3.355.

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Answer:

A. 3

Step-by-step explanation:

Section 1: decrease

Section 2: level, no increase, no decrease

In section 3, the slope is positive. The graph goes up to the right. The level of water increases in section 3.

Section 4: decrease

Section 5: decrease

Answer: A. 3

Answer:

A. 3

Step-by-step explanation:

Answer:

The answer is "They are similar".

Step-by-step explanation:

They were comparable in this respect because both aspect ratios of the top triangle are one square more. The top triangle is equal to the base triangles if you remove one square away from the height and width.

Otherwise, we can say that it forms all different. The dilation factor which translates that bottom left point of shape I to form II is 2. But this does not map the other shape I vertices onto form II. There's, therefore, no dilation in form I of maps on form II.

Solution

Given

Hence the LCM is

Answer:

She changed the position of the picture

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

(2x + 7) - (2x - 4)

2x + 7 - 2x + 4

7 + 4 = 11

Answer:

42 cm

Step-by-step explanation:

7+4+2+4+2+4+7+12