HELP
Evaluate. (jk−1)÷j when j=−4 and k=−0.8 Enter your answer as a decimal in the box.

Answer:

36720 different desserts

Step-by-step explanation:

(1020x3)x12=36720

Rick's score is higher than 91% of the other students.

Given that on a placement examination, Rick scored lower than 1192 of the 12,790 students who took the exam, to find the percentile, rounded to the nearest percent, for Rick's score, the following calculation must be performed:

Therefore, Rick's score is higher than 91% of the other students.

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Therefore, the total number of students on the honor roll increased by approximately 20.7%.

Percent (often symbolized as "%") is a way of expressing a fraction or a portion of something in terms of hundredths. It is used to describe the relationship between a part and a whole, with the whole being represented by 100%. Percentages are commonly used in many areas of life, such as finance, business, and statistics. They can be used to describe changes in values over time, to compare different quantities or amounts, or to express probabilities or frequencies.

Here,

We can start by finding the number of boys and girls on the honor roll after the increase.

Number of boys on honor roll after increase: 100 + 0.17(100) = 117

Number of girls on honor roll after increase: 84 + 0.25(84) = 105

So the total number of students on the honor roll after the increase is:

117 + 105 = 222

The total number of students on the honor roll last year was:

100 + 84 = 184

To find the percentage increase in the total number of students on the honor roll, we can use the formula:

percentage increase = (new value - old value) / old value x 100%

Plugging in the numbers we found, we get:

percentage increase = (222 - 184) / 184 x 100%

percentage increase = 20.65%

Rounding to the nearest tenth, we get:

percentage increase = 20.7%

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The linear equation that represents the total distance Jeff can walk in t hours is d = 2.25t

The given parameters are

Speed = 2.25 miles per hour

The linear equation that represents the total distance (d) Jeff can walk in t hours is calculated as:

d = Speed * t

This gives

d = 2.25 * t

Evaluate

d = 2.25t

Hence, the linear equation that represents the total distance Jeff can walk in t hours is d = 2.25t

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Answer:

6610

Step-by-step explanation:

We have tan(X) = opposite/ adjacent

tan(QBP) = PQ/BQ

tan(35) = PQ/BQ    ---eq(1)

tan(QAP) = PQ/AQ

tan(20) = \(\frac{PQ}{AB +BQ}\)

\(=\frac{1}{\frac{AB+BQ}{PQ} } \\\\=\frac{1}{\frac{AB}{PQ} +\frac{BQ}{PQ} } \\\\= \frac{1}{\frac{230}{PQ} + tan(35)} \;\;\;(from\;eq(1))\\\\= \frac{1}{\frac{230 + PQ tan(35)}{PQ} } \\\\= \frac{PQ}{230+PQ tan(35)}\)

230*tan(20) + PQ*tan(20)*tan(35) = PQ

⇒ 230 tan(20) = PQ - PQ*tan(20)*tan(35)

⇒ 230 tan(20) = PQ[1 - tan(20)*tan(35)]

\(PQ = \frac{230 tan(20)}{1 - tan(20)tan(35)}\)

\(= \frac{230*0.36}{1 - 0.36*0.7}\\\\= \frac{82.8}{1-0.25} \\\\=\frac{82.8}{0.75} \\\\= 110.4\)

PQ = 110.4

≈110

Height above sea level = 6500 + PQ

6500 + 110

= 6610

Yes, 3 divides 27,333. We have

27,333 = 27,000 + 333

… = 27•1,000 + 333

… = 3•9•1,000 + 3•111

… = 3•(9•1,000 + 111)

… = 3•(9,000 + 111)

… = 3•9,111

Using the principle of inclusion-exclusion, we can see that the total number of numbers with the given restrictions is:

586,071

o find the number of 7-digit numbers where the digits 1, 2, and 3 each appear at least once, we can use the principle of inclusion-exclusion.

Step 1: Find the total number of 7-digit numbers without any restrictions.

Since each digit can be chosen independently from 0 to 9 (excluding leading zeros), there are 9 options for the first digit (1-9) and 10 options for each subsequent digit (0-9). Therefore, the total number of 7-digit numbers without any restrictions is 9 * 10⁶.

Step 2: Subtract the number of 7-digit numbers that do not contain 1, 2, or 3.

The number of 7-digit numbers that do not contain 1, 2, or 3 is equal to the total number of 7-digit numbers with digits from 0 to 9 (excluding 1, 2, and 3). So for each digit position, there are 7 options (0, 4, 5, 6, 7, 8, 9). Thus, the total number of 7-digit numbers without 1, 2, or 3 is 7⁷.

Step 3: Add back the number of 7-digit numbers that do not contain two of the digits 1, 2, or 3.

The number of 7-digit numbers that do not contain two of the digits 1, 2, or 3 is equal to the total number of 7-digit numbers with digits from 0 to 9 (excluding two of 1, 2, and 3). For each digit position, there are 6 options (0, 4, 5, 6, 7, 8, 9). Thus, the total number of 7-digit numbers without two of 1, 2, or 3 is 6⁷.

Step 4: Subtract the number of 7-digit numbers that do not contain all three digits 1, 2, and 3.

The number of 7-digit numbers that do not contain all three digits 1, 2, and 3 is equal to the total number of 7-digit numbers with digits from 0 to 9 (excluding all three of 1, 2, and 3). For each digit position, there are 4 options (0, 4, 5, 6, 7, 8, 9). Thus, the total number of 7-digit numbers without all three of 1, 2, and 3 is 4⁷.

Now we can apply the principle of inclusion-exclusion to find the desired count:

Total number of 7-digit numbers = 9 * 10⁶ - 7⁷ + 6⁷ - 4⁷

Calculating this expression, we find:

Total number of 7-digit numbers = 586,071

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Using a calculator, the value of  csc (203°) is -1.086

Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.

Since csc (203°) = 1/[sin (203°)]

Press 1/ [sin (203°)] and then the equal to button on your calculator. We have:

1/[sin (203°)] = -1.086

Note: If you calculator have "cosec" or "csc" button, you can simply press cosec (203°) or csc (203°) to get the answer.

Thus, the value of  csc (203°) is -1.086

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Answer:

5x+7 > 17 matches with 3.

1+3x > -5 matches with 2.

2x+1 < 3 matches with 1.

5-3x > 11 matches with 4.

Step-by-step explanation:

Answer:

C. 15 1/4

Quadratic function have a vertex point that it either there lowest or highest point. In this particular case the vertex point would be (0.875, 15.25) which can be turned into a fraction.

If only 2,836 students were admitted into the Ateneo among 27,813 students, who took the ACET this year, the Ateneo’s acceptance rate is b. 10.2%.

The rate is the ratio of one value, expression, measurement, or quantity compared to another.

The rate represents the quotient of the numerator and the denominator.

The rate is expressed as a percentage by multiplication with 100.

The number of students who took the ACET this year = 27,813

The number of students who were admitted into the Ateneo = 2,836

The percentage or rate admitted = 10.19667% (2,836 ÷ 27,813 × 100)

= 10.2%

Thus, we can conclude that the acceptance rate or percentage is Option B.

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The XOR (exclusive or) of two events A and B can be defined as the set of all elements that are in either A or B but not both.

The probability of this event, P(AAB), can be calculated by summing the probabilities of A and B and subtracting twice the probability of the intersection of A and B, as follows:

P(AAB) = P(A) + P(B) - 2P(AnB)

This can be illustrated with a Venn diagram, where A and B are represented by two overlapping circles. The intersection of A and B, AnB, is represented by the overlapping region, and the symmetric difference, AAB, is represented by the non-overlapping regions of A and B.

The probability of AAB can then be calculated by adding the area of the two non-overlapping regions and subtracting twice the area of the overlapping region.

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Answer:

H0; u = 50 average revenue equals 50

H1: u not equal to 50, average revenue not equal to 50

This is 2 tailed

Alpha = 0.05

Z critical = 1.6449

We find the test statistics

Mean = 54.7

Sd = 11

n = 32

barX - u/sd/√n

= 54.70-50/11/√32

= 4.70/1.9435

= 2.418

Decision rule: reject H0 if test statistic > critical value. Accept if otherwise

2.418>1.6449

We reject H0

We conclude that average revenue is not equal to zero

C. P(z>=2.418) = 0.9922

1 - 0.9922

= 0.0078 (I used Ms excel here)

0.0078 < 0.05

So we Reject h0

Answer:

\(x = 8\tan(50)\)

Step-by-step explanation:

Given

The attached triangle

Required

Find x

To find x, we make use of the following trigonometry ratio;

\(\tan(\theta) = \frac{Opposite}{Adjacent}\)

So, we have:

\(\tan(50) = \frac{x}{8}\)

Make x the subject

\(x = 8\tan(50)\)

The value of square root of x + y squared + z squared is 30

x = 2, y = 3 and z = -5

\(( \sqrt{x + y} )^{2} + z ^{2} \)

substitute the value of x, y and z

\( = ( \sqrt{2 + 3} )^{2} + - 5 ^{2} \)

simplify the square root and square

\( = (2 + 3) + 25\)

\( = 5 + 25\)

\( = 30\)

Ultimately, x + y squared + z squared is 30

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Answer:

130.5ft²

Step-by-step explanation:

Hello There!

The figure shown is a composite figure ( so we can't find the area of it using one formula )

That being said we want to break the irregular figure into regular figures in which the area can simply be found using a formula

The figure would be broken in to the following shapes

A rectangle with a width of 4 ft and a length of 9 ft

A rectangle with a width of 8 ft and a length of 9 ft

A triangle with a height of 5 ft and a base of 9 ft

Now that we have broken the irregular figure into regular shapes we want to find the area of each individual shape

For the smaller rectangle:

The area of a rectangle can simply be calculated by multiplying the width and length

So A = 9 * 4

9 * 4 = 36

so the area of the smaller rectangle is 36ft²

For the larger rectangle

Once again the area can simply be found by multiplying the width and length

A = 8 * 9

8 * 9 = 72

so the area of the larger rectangle is 72ft²

For the triangle

To find the area of a triangle we want to use this formula

\(A = \frac{bh}{2}\)

where b = base and h = height

We have already identified the base and height so all we have to do is plug in the values into the formula

\(A=\frac{5*9}{2} \\5*9=45\\\frac{45}{2} =22.5\)

so the area of the triangle is 22.5ft²

Finally we add the areas of each regular figure

22.5 + 72 + 36 = 130.5

so we can conclude that the area of the composite figure is 130.5ft²

Answer:

Option B)

Step-by-step explanation:

The inequalities are y ≥ (2/3)x + 1 and y < (-1/4)x + 2 and (−6, −3) satisfied the inequality.

What is inequality?

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.

As per the given phrase,

y is greater than or equal to two-thirds times x plus 1 ⇒ y ≥ (2/3)x + 1

y is less than negative one-fourth times x plus 2 ⇒ y < (-1/4)x + 2

Substitute, point (−6, −3)

-3 ≥ (2/3)(-6) + 1

-3 ≥ -3  

Substitute in second inequality,

-3 < (-1/4)(-6) + 2

-3 < 7/2

Hence "The inequalities are y ≥ (2/3)x + 1 and y < (-1/4)x + 2 and (−6, −3) satisfied the inequality".

Pls Mark me Brainliest

Answer:

Step-by-step explanation:

answen

Answer:

If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary . When two lines are cut by a transversal, the pairs of angles on either side of the transversal and inside the two lines are called the alternate interior angles .

Answer:

61

Step-by-step explanation:

he read first 74 and need to

= 74-30

=44

Part (a)

The cost is the initial cost plus the cost per slushie multiplied by the number of slushies sold.

\(C(x)=500+1.25x\)

Part (b)

The revenue is the number of slushies sold multiplied by the amount charged per slushie.

\(R(x)=3.50x\)

The graph of h(x) = (x-1)^2 - 9 is a U-shaped parabola that opens upwards, with the vertex at (1, -9), and it extends indefinitely in both directions.

The function h(x) = (x-1)^2 - 9 represents a quadratic equation. Let's analyze the different components of the equation to understand the behavior of the graph.

The term (x-1)^2 represents a quadratic term. It indicates that the graph will have a parabolic shape. The coefficient in front of the quadratic term (1) implies that the parabola opens upwards.

The constant term -9 shifts the graph downward by 9 units. This means the vertex of the parabola will be at the point (1, -9).

Based on this information, we can draw the following conclusions:

The graph will be a U-shaped curve with the vertex at (1, -9).

The vertex represents the minimum point of the parabola since it opens upward.

The parabola will be symmetric with respect to the vertical line x = 1 since the coefficient of the quadratic term is positive.

The graph will extend indefinitely in both directions.

To accurately plot the graph, you can choose several x-values, substitute them into the equation to find the corresponding y-values, and then plot the points on the graph. Alternatively, you can use graphing software or calculators that can plot the graph of the equation for you.

Remember to label the axes and indicate the vertex at (1, -9) to provide a complete representation of the graph of h(x) = (x-1)^2 - 9.

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We want to get the equation on the graphed line.

The equation of the line is: y = 8*x - 9

Then the line is something like:

y = 8*x + b

To find the value of b, we can use one of the two points we got above.

The point (0, -9) means that when x = 0, y is equal to -9, then we can write:

-9 = 8*0 + b

-9 = b

Finally, the equation of the line is:

y = 8*x - 9

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The value of the expression f(x) + g(x) - h(x) will be 2x² + 7x + 2. Then the correct option is B.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The functions are given below.

f(x) = 3x² + 5

g(x) = 4x - 2

h(x) = x² - 3x + 1

The expression is given as,

⇒ f(x) + g(x) - h(x)

⇒ (3x² + 5) + (4x - 2) - (x² - 3x + 1)

⇒ 3x² + 5 + 4x - 2 - x² + 3x - 1

⇒ 2x² + 7x + 2

The value of the expression f(x) + g(x) - h(x) will be 2x² + 7x + 2. Then the correct option is B.

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The joint relative frequency is calculated by dividing the frequency of a specific subset (in this case, the number of adults who prefer watermelon) by the total number of data points.

Here, the specific subset is adults who prefer watermelon, which is 111. The total number of data points is the sum of all children and adults, regardless of fruit preference, which is 445.

So, to find the joint relative frequency of being an adult who prefers watermelon, you would divide 111 by 445.

Hence, the correct answer is:

C. Divide 111 by 445.

Answer: $5.91

Step-by-step explanation:

Total borrowed = $29.96

Amount earned on Saturday

6 hours x $2.60 = $15.60

Amount earned on Monday

1 3/4 is the same as 1.75

1.75 hours X $2.60 = $4.55

Amount earned on Tuesday

1 1/2 is the same as 1.50

1.50 hours x $2.60 = $3.90

Total amount earned from Saturday, Monday, and Tuesday

$15.60 + $4.55 + $3.90 = $24.05

Amount Sarah owes her uncle

$29.96 borrowed

$24.05 earned

$29.96 - $24.05 = $5.91

Sarah owes $5.91.

A repeating decimal is acceptable to use during calculations when you require a certain level of precision

A repeating decimal is acceptable to use during calculations when you require a certain level of precision, but it's important to keep in mind that the result will be an approximation rather than an exact value.

It is commonly used in situations where a rounded value is sufficient and the level of precision doesn't significantly impact the final result.

On the other hand, you should convert a repeating decimal to a fraction for calculations when you need an exact value or when further mathematical operations or comparisons are required.

Converting a repeating decimal to a fraction allows for precise calculations and eliminates any potential rounding errors associated with working with decimal approximations.

Converting a repeating decimal to a fraction involves identifying the repeating pattern and expressing it as a fraction. This allows for exact calculations and maintains the mathematical properties of fractions.

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Answer:

C on Edg

Step-by-step explanation:

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