Please help me i need it

Answer:

the measure of angle DCF is 75° + 54° = 129°

When dealing with reflections over the x-axis, the only thing that we need to do is to negate the y-coordinate of the original figure.

The rule is: f(x, y) → f(x, -y).

Original Figure → Translated Figure

J (1, 4) → J' (1, -4)

A (3, 5) → A' (3, -5)

G (2, 1) → G' (2, -1)

Here is how it looks like when plotted. (Green is the original figure and Blue is the reflected figure)

Answer: 5 one-fifths

Step-by-step explanation:

When one whole is divided into 5 equal parts, each part is 1/5 of the whole object.

Answer:

where is the triangle?

Step-by-step explanation:

Answer:

7.65

Step-by-step explanation:

The total cost for 8 is 20.40, so you want to find what the cost for one panel is by dividing the total cost by the amount, which would be 20.40/8=2.55 then you want to know how much 3 of them cost, to find that you just multiply the cost of one of them by three, which would be 7.65

The equation of the possible way to begin solving for x is 2/5x - 7/20x = 3/4 - 1/2

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

-3/4 + 2/5x = 7/20x -1/2

The first step is to collect the like terms

So, we have

2/5x - 7/20x = 3/4 - 1/2

This represents an equation of the possible way to begin solving for x

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Answer:

There will be 3 rows of pansies

Step-by-step explanation:

Answer:

Time and a half pay is 50% more than an employee's regular rate of pay. For every hour of overtime an employee works, you must give them their regular rate of pay plus half of that. To calculate an employee's overtime rate of pay, multiply their regular rate by 1.5.

The five-number summary for this data set is 29, 32, 43.5, 50.5, and 53, and the interquartile range is 18.5.

Measures of statistical dispersion, or the spread of the data, include the interquartile range. In addition to the IQR, other names for it include the midspread, middle 50%, fourth spread, and H-spread.

To find the five-number summary and interquartile range for this data set, we first need to find the quartiles.

Step 1: Find the median (Q2)

When a data collection is sorted from least to largest, the median is the midway value. Since there are 12 values in this data set, the median is the average of the sixth and seventh values:

Median (Q2) = (41 + 46)/2 = 43.5

Step 2: Find the lower quartile (Q1)

The lower quartile is the median of the lower half of the data set. Since there are 6 values below the median, we take the median of those values:

Q1 = (32 + 32)/2 = 32

Step 3: Find the upper quartile (Q3)

The upper quartile is the median of the upper half of the data set. Since there are 6 values above the median, we take the median of those values:

Q3 = (50 + 51)/2 = 50.5

Now we have all the information we need to construct the five-number summary and interquartile range:

Minimum: 29

Lower quartile (Q1): 32

Median (Q2): 43.5

Upper quartile (Q3): 50.5

Maximum: 53

Interquartile range (IQR) = Q3 - Q1 = 50.5 - 32 = 18.5

the five-number summary for this data set is 29, 32, 43.5, 50.5, and 53, and the interquartile range is 18.5.

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The correct expression of the function is f(x) = (5x - 3)/4

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

f(x) = The quantity of 5x minus 3, divided by 4

Remove the statement "The quantity of"

So, we have

f(x) = 5x minus 3, divided by 4

In mathematics and algebra, minus means subtraction

So, we have

f(x) = (5x - 3), divided by 4

In mathematics and algebra, division means subtraction

f(x) = (5x - 3)/4

Hence, the correct expression is f(x) = (5x - 3)/4

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The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

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Noting that the tip is one among the total sum charged on the bill is the best strategy for computing the required 20% tip using fractions.

aggregate attempting to determine the whole amount, time, or quantity. The amount at issue or under investigation is very active. the overall outcome, significance, or import. a third accounting, the principal, and the interest. There are word forms for quantities, amounting, and amounted. adaptable noun A thing's quantity is how much of it there is, that however much someone have, the amount you require or how much you can get. He needs that much money to make ends meet.

given

You can use a fraction to express the percentage 20%.

This is inferred from the fact that the sign for percentage,% means to divide by 100.

Therefore, it is important to understand that 20% equals 20/100, or 1/5.

As a result, the 20% tip represents one-fifth of the total.

Noting that the tip is one among the total sum charged on the bill is the best strategy for computing the required 20% tip using fractions.

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Answer:

x = 185.458 ft

Step-by-step explanation:

When we draw a picture, we are able to see that we need to use sin∅ to solve this problem:

sin15° = 48/x

xsin15° = 48

x = 48/sin14°

Work Shown:

Complementary angles add to 90 degrees.

A+B = 90

(3x+18)+(2x+17) = 90

5x+35 = 90

5x = 90-35

5x = 55

x = 55/5

x = 11

Then we can determine each angle:

As a check: A+B = 51+39 = 90 to confirm the answer.

Nathaniel drinks 3 glasses of water in one hour.

To find out how many glasses of water Nathaniel drinks in one hour, we need to calculate his drinking rate per hour.

In 2 2/5 hours, Nathaniel drinks 4/5 of a 10-ounce glass of water.

Let's convert the mixed number of hours to an improper fraction:

\(2\frac{2}{5} = \frac{(5 \times2 + 2)}{5}\)

\(=\frac{12}{5}\)

Now, we can set up a proportion to find his drinking rate per hour.

We know that \(\frac{12}{5}\) hours corresponds to \(\frac{4}{5}\) of a glass of water.

Let's assign "x" as the number of glasses he drinks in one hour.

The proportion is then

\(\frac{(\frac{12}{5} hours) }{(x glasses) } =\frac{(\frac{4}{5} glass)}{(1 hour)}\)

Cross-multiplying gives us

\((\frac{12}{5} )\times1=\frac{4}{5}\times(x)\)

Simplifying, we get

\(\frac{12}{5} =\frac{4}{5}\times x\)

Dividing both sides by \(\frac{4}{5}\), we find x:

\(x=\frac{(\frac{12}{5} )}{\frac{4}{5} }\)

\(x=\frac{12}{4}\)

\(x = 3.\)

Therefore, Nathaniel drinks 3 glasses of water in one hour.

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Janet has 630 options to customize a car based on the given features.

How to solve the question?

To determine the number of ways Janet can customize a car, we need to multiply the number of choices she has for each feature. Therefore, the total number of ways Janet can customize a car can be calculated as:

10 car models x 7 exterior colors x 9 interior colors = 630

Thus, Janet has 630 options to customize a car based on the given features.

It's worth noting that this calculation assumes that each feature (car model, exterior color, and interior color) can be combined with any other feature, without any restrictions or dependencies. However, in reality, certain car models may not be available in certain exterior or interior colors, or there may be other restrictions on the customization options.

Additionally, there may be other features that Janet can customize, such as the type of engine, transmission, or other options. Therefore, the total number of customization options may be even greater than what we have calculated here.

In summary, based on the given information, Janet has 630 ways to customize a car, but in reality, the actual number of options may be more limited or varied depending on other factors.

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a) The graph shows the mean and the values at ±1, ±2, and ±3 standard deviations from the mean.

b) -0.1213

c) 0.0653

d) 0.0171

e) EOC

Given that;

The EOC exams are normally distributed with a mean of 702.19 and a standard deviation of 35.81. A score of 700 is needed to earn 3 points.

Now, We can formulate;

a) The graph shows the mean and the values at ±1, ±2, and ±3 standard deviations from the mean. Each mark differs from the one below by the value of the standard deviation, 36.18. The central mark is the mean, 704.39.

b) As you know, the z-score is computed from ...

 z = (x -µ)/σ

 z = (700 -704.39)/36.18

 z = -0.1213

c) Same formula, different numbers.

 z = (22 -21.65)/5.36

 z = 0.0653

d) Likewise, ...

 z = (530 -528)/117

 z = 0.0171

e) EOC would be the easiest. The required score has the lowest z-value, so the applicant only needs to do better than a smaller number of peers.

Actually, the answer to this depends on why the thresholds vary. If we assume that the threshold on each test is set appropriate to the desired knowledge and ability, the test-taker would find his knowledge and ability allows him to do better on the ACT than on the other tests.

On the other hand, if the scores are representative of test taker populations all with the same knowledge and ability, less of that knowledge is required to achieve the necessary score on the EOC.

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Complete question is,

In order to graduate from Ohio, you need to earn 3 points on an Algebra EOC or score remediation

scores on the ACT and SAT math exams. The EOC exams are normally distributed with a mean of 704.39

and a standard deviation of 36.18. A score of 700 is needed to earn 3 points.

the values of each standard deviation above and below the mean, and make sure to add in the value

of the mean. Answers only are fine.

free

(Graph below)

b. What would be the z-score for a 700 on the EOC? Show work.

C. You can also earn math credit by scoring a remediation free score on the ACT. ACT tests have a mean

value of 21.65 and a standard deviation of 5.36. What would be a Z-score for a 22 on the ACT? Show work.

d. You can also earn math credit by scoring a remediation free score on the SAT. SAT tests have a mean value

of 528 and a standard deviation of 117. What would be a z-score for a 530 on the SAT? Show work.

e. Of the three testing options, which would be statistically easier to earn? Circle the answer and explain

your reasoning. EOC ACT SAT​

Answer:

a. Negation of ∃x ∀y(P(x,y) → Q(x,y)) = ∀x  ∃y P(x,y)  ∧ ¬Q(x,y) ]

b. Negation of ∃x ∀y(P(x,y) → P(y,x)) = ∀x ∃y  [ ¬P(x,y) ∨ ¬P(y,x) ] ∧ [P(x,y) ∨ P(y,x)]

c. Negation of ∃x ∃y P(x,y) ∧ ∀x ∀y Q(x,y) = ∀x ∀y ¬ [P(x,y)]  ∨ ∃x ∃y ¬ [Q(x,y)]

Step-by-step explanation:

a.∃x ∀y(P(x,y) → Q(x,y))

Negation = ¬ [ ∃x ∀y(P(x,y) → Q(x,y)) ]

                = ∀x  ¬ [ ∀y(P(x,y) → Q(x,y)) ]

                = ∀x  ∃y ¬ [ (P(x,y) → Q(x,y)) ]

                = ∀x  ∃y ¬ [  ¬P(x,y)  ∨ Q(x,y) ]

                = ∀x  ∃y P(x,y)  ∧ ¬Q(x,y) ]

Negation of ∃x ∀y(P(x,y) → Q(x,y)) = ∀x  ∃y P(x,y)  ∧ ¬Q(x,y) ]

b. ∃x ∀y(P(x,y) → P(y,x))

Negation = ¬ [ ∃x ∀y(P(x,y) → P(y,x)) ]

               = ∀x ¬ [ ∀y(P(x,y) → P(y,x)) ]

               = ∀x ∃y ¬ [ (P(x,y) → P(y,x)) ]

               = ∀x ∃y ¬ [ ( P(x,y) ∧ P(y,x) ) ∨ ( ¬P(x,y) ∧ ¬P(y,x) )]

               = ∀x ∃y ¬ [ P(x,y) ∧ P(y,x) ] ∧ ¬[ ¬P(x,y) ∧ ¬P(y,x) ]

               = ∀x ∃y  [ ¬P(x,y) ∨ ¬P(y,x) ] ∧ [ P(x,y) ∨ P(y,x) ]

∴ we get

Negation of ∃x ∀y(P(x,y) → P(y,x)) = ∀x ∃y  [ ¬P(x,y) ∨ ¬P(y,x) ] ∧ [P(x,y) ∨ P(y,x)]

c. ∃x ∃y P(x,y) ∧ ∀x ∀y Q(x,y)

Negation = ¬ [ ∃x ∃y P(x,y) ∧ ∀x ∀y Q(x,y) ]

                = ¬ [ ∃x ∃y P(x,y) ]  ∨ ¬ [ ∀x ∀y Q(x,y) ]

                = ∀x¬ [  ∃y P(x,y) ]  ∨ ∃x ¬ [ ∀y Q(x,y) ]

                = ∀x ∀y ¬ [ P(x,y) ]  ∨ ∃x ∃y ¬ [ Q(x,y) ]

∴ we get

Negation of ∃x ∃y P(x,y) ∧ ∀x ∀y Q(x,y) = ∀x ∀y ¬ [ P(x,y) ]  ∨ ∃x ∃y ¬ [ Q(x,y) ]

Answer:

\(C(x)=24,000+19,200x\)

Step-by-step explanation:

Mathematical Modeling

To model a real-life situation, a mathematical model can be constructed in such a way it accurately represents the variables measured in the system.

This problem requires to build a model for the yearly cost of a small and successful business.

The first data is the fixed monthly cost or the money the owner must pay regardless of the number of employees he hires. This cost includes shipping supplies and products for $2,000. To operate for a full year, the fixed cost is 12*$2,000=$24,000.

The other component of the cost function is the variable cost of x employees. Given each employee costs $1,600 each month, having x employees cost 1,600x each month. For a full year, the variable cost will be

12*1,600x=19,200x.

We finally form the total cost function:

\(\boxed{C(x)=24,000+19,200x}\)

Answer:

c $99,400

Step-by-step explanation:

$195,00-$120,000=$75,000

$75,000+$5,000+$1,400=81,400

$81,400+$38,000-$20,000=$99,400

Ben’s net worth is $99400 which is the correct answer would be an option (C).

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

The operator that performs the arithmetic operation is called the arithmetic operator.

Operators which let do a basic mathematical calculation

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

Given that Ben owns a townhome valued at $195,000,

To determine Ben’s net worth

But still owes $120,000 on the loan.

So, 19500 - 120000

⇒ 75000

He has $5,000 in savings and a balance of $1,400 on his credit cards.

So, 75000 + 5000+ 1400

⇒ 81400

There is a balance of $20,000 owed on Ben’s car which is valued at $38,000.

So, 81400 + 38000 - 20000

⇒ 99400

Thus, Ben’s net worth is $99400.

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Answer:

29

Step-by-step explanation:

Assuming the angle measurements are in degrees, the two given expressions for the angle measures add to 90.

2x+(x+3)=90

3x+3=90

3x=87

x=29

Answer:

Whole numbers are all natural numbers including 0 e.g. 0, 1, 2, 3, 4… Integers include all whole numbers and their negative counterpart e.g. … -4, -3, -2, -1, 0,1, 2, 3, 4,… Where a and b are both integers.

Step-by-step explanation:

Answer:

Step-by-step explanation:

A whole number is any number that does not contain a fraction, decimal, or negative value.

Answer:

15 games

Step-by-step explanation:

0.8 is 80% in a fraction form (80/100), g is the number of games played and 12 is the games won.

Answer:

Below

Step-by-step explanation:

One year and three months is  1 1/4 year

interest = p r t  

                  p = 920 principal   r = decimal interest = .06   t = 1 1/4

                           = 920 * .06 * 1 1/4 = $ 69.00 interest

Answer:

  (c)  longest

Step-by-step explanation:

The largest angle is opposite the longest side.

Answer:

C. Longest

Step-by-step explanation:

Since angle B is the largest angle, Line segment A C is the longest side.

Answer:

there is no wrong way to put them they are all equal to 1 have

bit if i were you use the least to greatest fraction caculator.

Step-by-step explanation:

Answer:

y = 2x + 7

Step-by-step explanation:

y + 1 = 2 ( x + 4 )

y = 2x + 8 - 1

y = 2x + 7

Answer:

Step-by-step explanation:

You want to know the amounts invested in stocks, bonds, and CDs when the total investment is $145000, $10000 more is invested in bonds than CDs, earnings are $6977.50, and rates of return are 6.7% for stocks, 2.5% for bonds, and 5.75% for CDs.

We can write three equations in 3 unknowns for this problem. Let s, b, c represent amounts invested in stocks, bonds, and CDs, respectively. Then the problem statement tells us the relations are ...

These equations can be solved using any of several methods. The second equation offers a nice relation between b and c, so substitution for one or the other of those will reduce the equations to two equations in two unknowns.

We prefer a calculator solution using an augmented matrix of the coefficients. That is shown in the attachment. It tells us the investment amounts are ...

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Additional comment

Using b = c +10000, the two remaining equations are ...

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