12.) 15 + (-15) + 12

Answer:  \(y= \frac{1}{4}x+\frac{1}{2}\)

Answer:

x = 120

Step-by-step explanation:

Given

0.25(x + 4) - 3 = 28 ( add 3 to both sides )

0.25(x + 4) = 31 ( divide both sides by 0.25 )

x + 4 = 124 ( subtract 4 from both sides )

x = 120

The value of x that satisfies the equation 0.25(x + 4) - 3 = 28 is x = 120.

Here, we have,

To solve the equation 0.25(x + 4) - 3 = 28, we will follow these steps:

Let's go through each step in detail:

Step 1: Distribute the 0.25 to the terms inside the parentheses.

0.25(x + 4) - 3 = 28

Distribute 0.25 to (x + 4):

0.25x + 0.25 * 4 - 3 = 28

Step 2: Simplify the equation by combining like terms.

0.25x + 1 - 3 = 28

Simplify 0.25 * 4:

0.25x + 1 - 3 = 28

0.25x - 2 = 28

Step 3: Isolate the variable x on one side of the equation.

To isolate the variable x, we want to get rid of the constant term -2 on the left side.

We can do this by adding 2 to both sides:

0.25x - 2 + 2 = 28 + 2

Simplifying:

0.25x = 30

Step 4: Solve for x.

To find the value of x, divide both sides by 0.25:

0.25x / 0.25 = 30 / 0.25

Simplifying:

x = 120

So, the value of x that satisfies the equation 0.25(x + 4) - 3 = 28 is x = 120.

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a)The percent of women in the active group were at or below their pre-pregnancy weight at 12 months postpartum is 0.7794

b) The probability that a control group woman was at or below her pre-pregnancy weight at 12 months is 0.5520

What is Percent and Probability?

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

A ratio or value that may be stated as a fraction of 100 is called a percentage.

a) Given,

mean = 0.2

standard deviation = 15.4

P(X < 12) = P((x-u)/s < (12 - 0.2)/15.4)

= P(z < 0.77)

= 0.77935 [since from z table]

= 0.7794

b) Given that,

in the active group, the percentage of women with weight above no more than 2lbs is

=P(X<2)=P(Z<2-(-2)/15.4)

=P(Z<0.2597)

=0.6025

hence the % of the GDM women in the program will be expected to be no more that 2lbs, above their pre-pregnancy weight

= 0.8 x 0.6025+0.2 x 0.3499

=0.5520

a) At 12 months postpartum, 0.7794 of the women in the active group were at or under their pre-pregnancy weight.

b) A control group participant's likelihood of being at or below her pre-pregnancy weight at 12 months is 0.5520.

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Answer:

V = 288π \(unit^{3}\)

Step-by-step explanation:

The volume of the sphere = \(\frac{4}{3}\) * π * \(r^{3}\)

V =  \(\frac{4}{3}\) * π *\(6^{3}\)

V = 288π \(unit^{3}\)

(π is pi or 3.14)

To find the exponential function f(x)=Ca^x which satisfies the following conditions: f(3)= 1/64 and f(−1)=64, we can use the following steps:First, we need to find the value of C.To do that, we'll substitute x = -1 and f(x) = 64 in the equation f(x) = Ca^x.So, we have 64 = Ca^(-1)We can write this as C = 64a.

Now, we need to use the second condition, f(3) = 1/64We can write this as f(x) = Ca^x = (64a)a^x = 1/64Now, we'll substitute x = 3 in this equation.So, we get 64a^(3) = 1/64. We can write this as a^(3) = 1/64^2a^(3) = 1/4096a = (1/4096)^(1/3). Now, we can use the value of a to find the value of C.C = 64a = 64((1/4096)^(1/3)).

So, the exponential function f(x) = Ca^x which satisfies the conditions f(3)= 1/64 and f(−1)=64 is given by:f(x) = 64((1/4096)^(1/3))(1^x)f(x) = 64(1/16)(1^x)f(x) = (4/64)(1^x)f(x) = (1/16)(1^x)Therefore, the exponential function f(x) = (1/16)(1^x) satisfies the conditions f(3)= 1/64 and f(−1)=64.

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Therefore, the future value of a three-year uneven cash flow given below, using an 11% discount rate is $1,238.82.

To calculate the future value of a three-year uneven cash flow given below, using an 11% discount rate, we need to use the formula;

Future value of uneven cash flow = cash flow at year 1/(1+discount rate)¹ + cash flow at year 2/(1+discount rate)² + cash flow at year 3/(1+discount rate)³ + cash flow at year 4/(1+discount rate)⁴

Given the cash flows;

Year 0: $0

Year 1: $600

Year 2: $500

Year 3: $400

Then the Future value of uneven cash flow

= $600/(1+0.11)¹ + $500/(1+0.11)² + $400/(1+0.11)³

= $600/1.11 + $500/1.23 + $400/1.36

=$540.54 + $405.28 + $293.00

=$1,238.82

Therefore, the future value of a three-year uneven cash flow given below, using an 11% discount rate is $1,238.82.

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Equal, due to both being released with zero vertical velocity and having the same downward acceleration.

What is the velocity?

The directional speed of an item in motion, as measured by a specific unit of time and observed from a certain point of reference, is what is referred to as velocity.

Here, we have

Given: the velocity as a function of time for rock a and rock b.

Space is the direction of a moving object's speed as a representation of the rate at which its position may change, as measured by a certain body of time and reference points.

The displacement that a thing or particle goes through with respect to time can be expressed vectorially as speed. The meter per 2d m/s is the standard unit of velocity important, usually referred to as speed.

While speed is the charge and direction of an item's movement, speed is the time price at which an object is moving along a direction. In other words, pace is a vector, but speed is a scalar cost.

Hence, due to both being released with zero vertical velocity and having the same downward acceleration.

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Answer:

Step-by-step explanation:

45000 x %22 = 9900 per year

9900/12=825 per month

Answer:

= 17.75526315

Step-by-step explanation:

Combine multiplied terms into a single fraction

(3.8) = 67.47

\(\frac{(19x)}{5}\) = 67.47

Remove parentheses

\(\frac{19x}{5}\) = 67.47

more steps but it will take to to read but the answer is

= 17.75526315

Answer:

5.7 meterslong and 5.8meters width

Answer: Approximately 31 number keys.

Step-by-step explanation: Ratio is a comparison between two values.

Ratio for number keys to letter keys is \(\frac{3}{15}\), which means each 3 group of number keys is equivalent to 15 letter keys.

The producer will need

\(\frac{3}{15} =\frac{x}{156}\)

\(x=\frac{3.156}{15}\)

x = 31

The manufacturer will need to be produced 31 keys.

Two samples drawn from two populations are independent if the selection of one sample from a population is not related to the selection of the second sample from the same population. Option C is correct:

Independence is a fundamental concept in statistics when working with samples from different populations. It refers to the absence of any relationship or connection between the two samples. Option C correctly states that the selection of one sample from a population is not related to the selection of a second sample from the same population.

If the selection of one sample were related to the selection of the second sample from the same population (Option A), it would introduce bias and invalidate the assumption of independence. Similarly, if the two samples selected from the same population had a relationship or connection (Option B), it would violate the principle of independence.

Option D, stating that the selection of one sample from one population does not affect the selection of the second sample from the second population, is not the correct definition of independence. Independence refers to the relationship between samples drawn from the same population, rather than between samples drawn from different populations.

In summary, the independence of two samples implies that the selection of one sample from a population does not affect the selection of the second sample from the same population (Option C). This concept is crucial in statistical analysis to ensure unbiased and reliable results when working with multiple samples.

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Answer:

b= 4 in.

Step-by-step explanation:

Ok. So the area of a triangle is base * height divided by 2.

So, the base is b and the height is 3b.

b*3b= 3b^2.

Now, divide that by 2.

(3b^2)/2.

Now, we know what the area is already- 24 in.^2. So, let's set the area expression that I found earlier equal to this area, since they're the same.

(3b^2)/2 = 24

3b^2 = 48

b^2 = 16

Ok. Let's stop here. Now, we square root both sides to obtain b, but we are presented with a problem here. B can equal both 4 and -4 right? Since -4*-4=16 and 4*4=16. However, it is impossible for a 2d shape to have negative measurements. So, the answer is 4.

Answer:

+4 in

Step-by-step explanation:

A= 1/2 x b x h

24=1/2 x b x 3b

b2=16

b=+4 or -4(N/A)

Answer:Arnold earns $87 of interest in 5 years.

Step-by-step explanation:

Answer:Recall that given the equation of the second degree (or quadratic) ax ^ 2 + bx + c Its solutions are: x = (- b +/- root (b ^ 2-4ac)) / 2a discriminating:  d = root (b ^ 2-4ac) If d> 0, then the two roots are real (the radicand of the formula is positive).  If d = 0, then the root of the formula is 0 and, therefore, there is only one solution that is real and of multiplicity 2 (it is a double root). If d <0, then the two roots are complex and, in addition, one is the conjugate of the other. That is, if one solution is x1 = a + bi, then the other solution is x2 = a-bi (we are assuming that a, b, c are real). One solution: A cut point with the x axis Two solutions: Two cutting points with the x axis.  Complex solutions: Does not cut to the x axis

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

The answer is 7

Step-by-step explanation:

Answer:

       107             2

x = -------- or 7 -------

        15              15

Step-by-step explanation:

-1/4 ( x + 1 2/3) = -2 1/5

-1               2              1

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

 4               3             5

-1              5         -11

----- ( x +  ----- ) =  -----

 4              3          5

-1          -5        -11

-----x +  -----  =  -----

 4          12        5

 -1(15)          -5(5)         -11(12)

----------x  +  ----------  =  -----------

 4(15)           12(5)         5(12)

 -15              25               -132

---------x  -   ----------  =  ------------

 60              60                60

              +25/60           +25/60

-15           -107

-------x =  ---------

 60           60

60            -107       -107         107

-------x  x   ------- = ---------- = ----------

 -15            60        -15            15

        107             2

x =  --------- or 7 ------

         15              15

I hope this helps!

Answer:    ((dy)/(dx))=2e^{2x}

Step-by-step explanation:

View  image attached

Answer:

107 cm

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Answer:

107 cm

Step-by-step explanation:

To find this you just first add the 26cm three times because thats the length of 3 sides and you get 78 then you multiply 14.5 times 2 for the other two sides that length and you get 29. Next you add 78+29 and you get 107cm

Answer:

k

Step-by-step explanation:

-3k minus -3k

-2k-(-3k)

-2k+3k

k

The distance of the swing of a pendulum decreases by a constant amount each swing. To find the distance of the swing at the tenth swing, you can use the formula:

distance at nth swing = distance at first swing * (1 - decay factor)^(n-1)

Where decay factor is the fractional decrease in distance per swing. In this case, the decay factor is (80 - 76) / 80 = 0.05. Plugging this into the formula above, we get:

distance at 10th swing = 80 * (1 - 0.05)^9 = 53.78 cm

So the distance of the swing at the tenth swing is approximately 53.78 cm.

Step-by-step explanation:

that is a strange way to express to situation.

what they mean here is that the perimeters are of identical lengths.

other than the total length the perimeters have nothing in common. therefore, I would have never used the word "congruent" for that. if that would have been the answer to a question like "what statement describes the relationship between the 2 perimeters ?", I would have flagged this as wrong.

anyway, so, the perimeters are of equal length. that means

x + 6 + x + 3 + x + 9 = 2(x + 4) + 2(x + 1)

3x + 18 = 2x + 8 + 2x + 2 = 4x + 10

3x + 8 = 4x

8 = x

Answer:

The question is not clear that I'm not sure that .8 m is radius or diameter...Let's assume it is a radius....circumference of this circle is C=2 pi r =2 (3.14) (.8)=5.024

Step-by-step explanation:

Let round to the nearest tenth C= 5.024 = 5.020

The appropriate technique for this study would be regression analysis. So, correct option is 2.

Regression analysis is a statistical tool that is used to determine the relationship between a dependent variable and one or more independent variables. In this case, the dependent variable is the house value, and the independent variables are the size of the house, whether it has a pool, the material with which it is built, and the location of the house.

The purpose of regression analysis is to estimate the values of the dependent variable based on the values of the independent variables. By using regression analysis, the researcher can determine the degree to which each independent variable contributes to the variation in house value.

This information can be used to determine which factors are the most important in determining the value of a house.

Therefore, regression analysis would be the appropriate technique for this study because it allows the researcher to investigate the relationship between the dependent and independent variables and to determine the extent to which each independent variable affects the dependent variable.

So, correct option is 2.

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Answer:

website na para sa di marunong mag math haha cutting study value of c is vintamin C = Glox C

The graph meets the vertical line test requirement, it must represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.

According to the function, every value in the domain is associated to exactly one value in the range, and they have a predefined domain and range. It is characterized as a certain kind of relationship.

Please refer to the image instead of the graph, which is related to it.

The graphic displays a graph.

A parabola is seen on the graph.

The vertical line test determines if a graph can be a function, as is common knowledge.

The graph passes the vertical line test option, indicating that it does in fact represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.

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Step-by-step explanation:

These two angles are same side corresponding interior angles so they are equal to each other

\(5x + 20 = 120\)

\(5x = 100\)

\(x = 20\)

Examples of categorical variables are race, sex, age group, and educational level.

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The metric unit that would be best to measure the capacity of a cereal bowl is milliliters (ml).

Capacity is a measure of the amount of fluid that a container can hold. Cereal bowls are typically used to hold liquids such as milk or yogurt along with cereal. Milliliters are a commonly used metric unit of volume that would be appropriate for measuring the capacity of a cereal bowl. Other metric units of volume such as liters or cubic centimeters could also be used, but milliliters would provide a more precise measurement for a smaller container such as a cereal bowl. To measure the capacity of a cereal bowl in milliliters, one would simply pour a known amount of water into the bowl and measure the volume of the water using a measuring cup or a graduated cylinder.

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The percentage of the students who wore a silly hat is 64 %.

The percentage is defined as a ratio expressed as a fraction of 100.

We have been given that Last Tuesday was a silly hat day at Aaron's school. 64 students wore a silly hats and 36 students did not.

We have to determine the percentage of the students who wore a silly hat

The total number of students = 64 students wore silly hats and 36 students did not.

The total number of students = 64 + 36 = 100

We have to determine the percentage of the students who wore a silly hat

The percentage of the students wore a silly hat = (64/ 100) × 100

The percentage of the students wore a silly hat = 0.64 × 100

The percentage of the students wore a silly hat = 64 %

Thus, the percentage of students who wore silly hats is 64 %.

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