PLS HELP :
use the fact that f(x) = sqrt x is increasing over its domain to solve the inequality: sqrt (2x-1) > sqrt (3-x)

Answer:

Step-by-step explanation:

2x^3y and 2yx are not like terms since x^3 can't be added to x since it's not x^3 but x^2.

Surface area of larger box is 69% more so as a scale factor that is 1.69

Square root 1.69 = 1.3

Height of smaller box x 1.3 is height of larger box.

18 x 1.3 = 23.4 cm

Height = 23.4 cm

The graph rainbow which is in the shape of a parabola and the selected points indicates that we get;

1. (a) The table can be presented as follows;

x; -10, -4, 2, 8

f(x); 10, 20, 30, 40

2. Domain; [-6, 6], range; [0, 36]

Yes, the values make sense

3. The piecewise function is; f(x) = x² + 15, when 0 ≤ x ≤ 5 and y = x - 1 when 5 < x ≤ ∞

Please find attached the graph of the piecewise function created with MS Excel

A parabola is the shape of the graph of a quadratic function.

1. (a) The points on the graph of the parabola which are on a straight line are;

(-4, 20), and (2, 30)

The table of values are therefore;

x            \({}\) f(x)

-10 \({}\)          10

-4\({}\)            20

2\({}\)             30

8 \({}\)            40

2. The domain is the set of the possible x-values of the data, therefore;

The domain of the rainbow is; [-6, 6]

The range is the set of the possible x-values of the data, therefore;

The range of the rainbow is; [0, 36]

The domain represents the length of the rainbow at ground level

The range represents the height of the rainbow

The values are reasonable, where the axis of symmetry for the rainbow is the y-axis

The x-intercepts are; (-6, 0), and (6, 0), which are the points the rainbow reaches the ground

The y-intercept is the point (0, 36), which is the highest point on the rainbow

The slope of the linear function is; (30 - 20)/(2 - (-4)) = 5/3

The positive slope indicates that the linear function is positive

i(a) The solutions of the system of equation are the point of intersection of the airplane and the rainbow, which are; (-4, 20), and (2, 30)

The point of intersection represents the intersection of the airplane and the rainbow

3. The piece wise function that can be created can be presented as follows;

f(x) = x² + 15 Where; 0 ≤ x ≤ 5

f(x) = x - 1 Where; 5 < x < ∞

Please find attached the graph of the piecewise function created with MS Excel

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The value of the missing data point is 10. Option C

The data set has 8 data points, and the median is given as 12. The median is the middle value when the data points are arranged in ascending or descending order.

Let's arrange the data set in ascending order:

6, 8, ?, 8, 14, 15, 16, 18

Since the median is 12, it should be the fourth data point when arranged in ascending order. Therefore, the missing data point must be the fourth value in the sorted data set.

From the given options, the only whole number that could fit as the fourth value in the data set is 10.

Thus, the value of the missing data point is C. 10.

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The number of people in the set C ∩ D (customers who purchased both cats and dogs) is obtained by adding the overlap of D and C (3) with the overlap of all 3 circles (1), resulting in a total of 4 individuals.

The correct answer is 4.

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to analyze the overlapping regions in the Venn diagram.

Given information:

- Circle C (cats): 15

- Circle D (dogs): 21

- Circle F (fish): 12

- Overlap of C and F: 2

- Overlap of F and D: 0

- Overlap of D and C: 3

- Overlap of all 3 circles: 1

- Number outside of circles: 14

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to consider the overlapping region between circles C and D.

From the information given, we know that the overlap of D and C is 3. Additionally, we have the overlap of all 3 circles, which is 1. The overlap of all 3 circles includes the region where customers have purchased cats, dogs, and fish.

To calculate the number of people in the set C ∩ D, we add the overlap of D and C (3) to the overlap of all 3 circles (1). This gives us 3 + 1 = 4.

Therefore, from the options given correct one is 4.

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Answer: 4

Step-by-step explanation:

trust me bro

The hypotheses to test if this sample indicates a significant change in the average number of hours spent studying is:

0: µ = 14 (null hypothesis)

1: µ ≠ 14 (alternative hypothesis)

Option B is the correct answer.

We have,

The null hypothesis states that the population mean for the number of hours spent studying by full-time students at 4-year colleges in the United States is equal to 14 hours per week,

while the alternative hypothesis states that it is different from 14 hours per week.

By using a two-tailed test, we are checking for any significant change in either direction, whether the average number of hours spent studying has increased or decreased from 14 hours per week.

Thus,

The hypotheses to test if this sample indicates a significant change in the average number of hours spent studying is:

0: µ = 14 (null hypothesis)

1: µ ≠ 14 (alternative hypothesis)

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Consider the continuous random variable x that has a uniform distribution over the interval from 40 to 44. The variance of 'x' is approximately C: 1.155.

The variance of a continuous uniform distribution over the interval [a, b] is determined by the formula given as follows:

Var(x) = (b-a)^2 / 12

For the given distribution, a = 40 and b = 44, so the variance is calculated by putting these values into the above formula:

Var(x) = (44 - 40)^2 / 12 = 1.155

Therefore, the variance of 'x' is approximately 1.155

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Answer:

see below

Step-by-step explanation:

4x + 10 = 2(2x + 5)

Distribute

4x+10 = 4x+10

Since the left side is identical to the right side, there are infinite solutions

4x - 5 = 4x + 10

Subtract 4x from each side

-5 = 10

This is never true, so there are no solutions

4x-5 = -5

Add 5 to each side

4x = 0

x=0

There is one solutions

Answer:

x=12

Hope this help :)

The equation which describes the relationship between the side length and shaded area of the quilt is y=0.5x²

Side length, x = 1,3,4,5,8

Shaded Area, y = 0.5, 4.5, 8, 12.5, 32

The relationship can be modeled as a quadratic function. Using a graphing calculator for the quadratic function written in the form y = ax² + bx + c

a = 0.5 ; b = 0 ; c = 0

Therefore, the quadratic function can be written as y = 0.5x²

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Answer:

a = 180° - 77° = 103°

hence , a = 103°

Kira has $19, Boris has $75, and Deshuan has $25.

We will denote as follows:

From information, we can set up equations:

B = 3D (Boris has 3 times what Deshuan has)

D = K + 6 (Deshuan has $6 more than Kira)

K + B + D = 119 (The total amount of money they have is $119)

Substituting equation 2 into equation 1, we have:

B = 3(K + 6)

Substituting equations 1 and 2 into equation 3:

K + 3(K + 6) + (K + 6) = 119

K + 3K + 18 + K + 6 = 119

5K + 24 = 119

5K = 119 - 24

5K = 95

K = 95 / 5

K = 19

Using equation 2, we can find D:

D = K + 6

D = 19 + 6

D = 25

Using equation 1, we can find B:

B = 3D

B = 3 * 25

B = 75.

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In the case of Jonas and his washing machine the independent variables are:

The dependent variables are:

The independent variable refers to all those variables that are tested experimentally, being manipulated by researchers in order to test a hypothesis.

Generally, the independent variable has the greatest influence on the result of the experiment, this means that it modifies all the dependent variables.

The independent variable refers to the qualities or characteristics whose behavior is affected by the independent variable. It is about the variable or variables that are measured in order to be able to interpret the results and confirm or discard a hypothesis.

According to the above, it can be inferred that the independent variables in the case of Jonas are the type of washing machine because this variable will directly affect the other variables.

For example, depending on the type of washing machine Jonas uses, it will consume different amounts of energy and will need different amounts of water.

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The area of the shaded region under the standard normal curve with z = 0.49 is 1.

The area of the shaded region under the standard normal curve with z = 0.49 is 1.

What is curve?

In mathematics, a curve is a continuous and smooth (i.e., differentiable) mathematical object that represents a path or a trajectory. Curves can be defined in different ways, depending on the context in which they are used.

What is area of curve?

The area of a curve refers to the amount of space enclosed by a curve on a two-dimensional plane. Finding the area of a curve can be a challenging problem, especially when the curve is not a standard geometric shape such as a circle or rectangle.

To find the area of the shaded region under the standard normal curve with z = 0.49, we need to use a standard normal distribution table or a calculator with a normal distribution function.

Using a standard normal distribution table, we find that the area to the left of z = 0.49 is 0.6864. This means that the area to the right of z = 0.49 is 1 - 0.6864 = 0.3136.

Since the normal curve is symmetric about the mean (z = 0), the area to the left of z = -0.49 is also 0.6864. Therefore, the area between z = -0.49 and z = 0.49 is:

0.6864 (area to the left of z = 0.49) + 0.3136 (area to the right of z = 0.49) = 1

So the area of the shaded region under the standard normal curve with z = 0.49 is 1.

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Based on the information given the  percent of Jon's total income did he spend for food is 25%.

Using this formula

Percent of total income=Amount spent for food/Total income last year

Where:

Amount spent for food=$7,900

Total income last year=$31,300

Let plug in the formula

Percent of total income=$7,900/$31,300

Percent of total income=25%

Inconclusion the  percent of Jon's total income did he spend for food is 25%.

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Answer:

320

Step-by-step explanation:

Is the 3 to 2 part to part?  Out of every 5 people, 3 prefer pizza and 2 do not.  We can us this to set up a proportion.

3/5 = 120/x  The 3 represent the part that like pizza over the whole of 5.  The second ratio is showing the actual number of people that liked pizza over the total number of people.

What would be multiply 3 by to get 120? 40.  So, we will multiply 5 times 40 to get the total number of people.  5 x 40 = 200

Answer:

add more detail then i can answer

Step-by-step explanation:

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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The correct statement regarding the residual in this problem is given as follows:

2.66; The line of best fit underpredicts the temperature change.

For a data-set, the definition of a residual is that it is the difference of the actual output value by the predicted output value, that is:

Residual = Observed - Predicted.

For a rain amount of 0.4 inches, the predicted temperature change is given as follows:

y = -1.4 x 0.4 + 0.2

y = -0.36.

Then the residual is given as follows:

R = 2.3 - (-0.36)

R = 2.66 -> underpredicts the change.

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Answer:

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sofiapenaloza

05/31/2023

Mathematics

College

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The equation for the line of best fit for change in temperature, y, to amount of rain, r, is given by ŷ = − 1.4r + 0.2. On Monday, the observed amount of rain was 0.4 inches and the temperature change was 2.3 degrees. Find and interpret the residual.

2.66; The line of best fit overpredicts the temperature change.

2.66; The line of best fit underpredicts the temperature change.

1.94; The line of best fit underpredicts the temperature change.

−1.94; The line of best fit overpredicts the temperature change.

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joaobezerra

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The correct statement regarding the residual in this problem is given as follows:

2.66; The line of best fit underpredicts the temperature change.

What are residuals?

For a data-set, the definition of a residual is that it is the difference of the actual output value by the predicted output value, that is:

Residual = Observed - Predicted.

For a rain amount of 0.4 inches, the predicted temperature change is given as follows:

y = -1.4 x 0.4 + 0.2

y = -0.36.

Then the residual is given as follows:

R = 2.3 - (-0.36)

R = 2.66 -> underpredicts the change.

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Step-by-step explanation:

The sum of the decimal values given is 0.93

Simplifying the decimal values can be done thus :

Both values are in two decimal places, hence we can multiply by 100 to obtain a whole number .

0.36*100 = 36

0.57*100 = 57

Adding the whole numbers :

__36

+_57

_____

__93

Dividing the sum by 100 to convert to an equivalent decimal value,

Therefore, the required value is 0.93

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Answer:

46

Step-by-step explanation:

Answer:

46

According to question,

10% × x = 20

x = 20 ÷ 10%

x = 20 ÷ 0.1

x = 200

Now find 23% of x

23% × 200

0.23 × 200

46

Answer:

The circumference is 50.24 in. and the area is 200.96 in².

Step-by-step explanation:

The circumference formula is C = 2πr where C = Circumference, π = pi and r = radius. We know that r = 8 and π = 3.14 and that we're solving for C, so we can substitute those values into the equation to get C = 2 * 3.14 * 8 = 50.24 in.

The area formula is A = πr² where A = Area, π = pi and r = radius. Again, we're solving for A and we know that r = 8 and π = 3.14 so A = 3.14 * 8² = 3.14 * 64 = 200.96 in².

Answer:

The circumference is 50.24 in. and the area is 200.96 in².

Step-by-step explanation:

MARK SNOG AS BRAINLIEST

Answer:          

Step-by-step explanation:

The time series data should show a. trend b. cyclical c. seasonal, so the correct answer is d. all of the options are correct.

Time series data refers to a collection of data points that are measured over time at regular intervals. The time series data could refer to various metrics such as sales, revenue, foot traffic, website traffic, inventory levels, and other relevant business metrics that change over time.

By analyzing time series data, businesses can gain insights into trends, patterns, and other factors that can affect their operations.  

Time series can be used for forecasting. By analyzing past trends and patterns, businesses can make predictions about future performance and take proactive measures to achieve their goals.  

Since the time series will follow the trend, have multiple choices, and will be cyclical and it will analyze the patterns over time periods seasonally.

Therefore,

The time series data should show a. trend b. cyclical c. seasonal, so the correct answer is d. all of the options are correct.

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Answer:

Hope this is correct

Answer: 35

Step-by-step explanation:

\(f(4)=7(4+2)-7\\\\f(4)=7(6)-7\\\\f(4)=7(5)\\\\f(4)=35\)

Step-by-step explanation:

Let the checking be x

Let the savings account be y

Since the total amount must be greater than 500

Question 2

The line will be a solid line because it is greater or equal to

Since the total is greater than 500, hence, the upper region of the line will be shaded

Answer:

a ≤ 20

Step-by-step explanation:

a = number of lower vases, in $

3a = cost of a flower vases, in $

10 + 3a = = cost of $10 worth of flowers plus a vases

10 + 3a ≤ 70 says that the cost of Christine's flowers and vases purchase

must be less than, or at most equal to $70.

Subtracting  10 rom both sides of the inequalour

gives us an equivalent inequality

3a ≤ 70 - 10 <--->  3a ≤ 60

Multiplying (or dividing) both sides by a positive number

gives us an equivalent inequality, so

a ≤ 60/3  <---> a ≤ 20

Answer:

705.81 and 705.810

Step-by-step explanation:

700 + 5 + 0.8 + 0.01 = 705.81

Answers:

705.810

705.81