waheda purchased 8 textbooks each costing rupees 12 and 4 story books each question rupees 9 find the ratio of amounts she spent on the two types of books .​

Q14)

a) The smallest prime number is 2. The smallest composite number is 4.

b) Rs 720 - 20 [as loss]

=> Rs 790 = SP

c) Rs 500 - 30 [as profit]

=> Rs 470 = CP

d) a° + b° = 180°

Hope it helps you!

Answer:

The distance between the points (4,3) and (1,-1) is C. 5 units.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

[tex]\frac{x+1}{x-4}[/tex] × [tex]\frac{5x}{x+1}[/tex] ← cancel x + 1 on numerator and denominator

= [tex]\frac{1}{x-4}[/tex] × [tex]\frac{5x}{1}[/tex]

= [tex]\frac{5x}{x-4}[/tex]

Answer:

5x/(x-4)

Step-by-step explanation:

To multiply fractions, all we have to do is multiply the numerators together and the denominators together. If we do that, we get the following:

[tex]\frac{x+1}{x-4}*\frac{5x}{x+1}=\frac{(x+1)(5x)}{(x-4)(x+1)}[/tex]

We notice that both the numerator and the denominator have an (x+1) term. Whenever you have something divided by itself, you get 1. In other words, they cancel out. As such, we can remove them from our answer to simplify it:

[tex]\frac{5x}{x-4}[/tex]

If we do that, we get the expression above. 5x/(x-4) is the reduced product of the rational expression given.

The  truncation error for s3  is 0.008

The  truncation error serves as the  difference between a truncated value as well as  the actual value.

This truncated quantity can be a numeral having a fixed number of allowed digits.

Therefore the value of S_3=0.008

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The additional set of values which could be included in the table is; (10,2).

As evident in the task content, it follows that for a 15 unit increase in x, depth, there is a 3 unit increase in y, pressure.

On this note, it follows that with each 5 unit increase in x corresponds to 1 unit increase in y.

And ultimately, at x = 10, y = 2 × 1 = 2.

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The given statements:

1) ΔQRS ≅ ΔSTU (according to the ASA axiom)

2) The congruent ∠S: ∠RSQ ≅ ∠UST (Vertical angles)

The ASA axiom states that "two triangles are said to be congruent if two pairs of corresponding angles and the sides between these angles are equal".

It is given that,

S is the midpoint of QT.

So, SQ ≅ ST <S>

Since ∠S is at the intersection of two transversal lines, ∠RSQ ≅ ∠UST <A>.  This is beacuse they are vertically opposite.

And QT is the transverse line for the parallel lines, QR║UT. So, the alternate angles(interior) are congruent. I.e., ∠SQR ≅ ∠UTS <A>.

From this, the given triangles have two equal corresponding angles and congruent sides in between them.

So, ΔQRS ≅ ΔSTU according to ASA axiom.

Therefore, ΔQRS ≅ ΔSTU and ∠RSQ ≅ ∠UST.

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Using multiplication, the total score on the exam if you answered 13 questions correctly, leave 7 questions blank and answer 5 questions incorrectly is 39 point.

According to the question,

For each correct question, you get 2 points, and there are 22 correct questions, so multiply 22 by 2

22 * 2 = 44 points.

For each question left blank, you get 0 points, and there are 7 questions left blank, so multiply 7 by 0

7 * 0 = 0 points

For each incorrect question, you get -1 point, and there are 5 incorrect questions, so multiply 5 by -1

5 * (-1) = -5 points.

The total number of score = 22*2 + 7*0 + 5*(-1) = 44 + 0 - 5 = 39 points.

Hence, using multiplication, the total score on the exam if you answered 13 questions correctly, leave 7 questions blank and answer 5 questions incorrectly is 39 point.

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The equation that could be used to solve for the length of XY is XY = 22/sin(41)

An equation is an expression that shows the relationship between two or more variables and numbers.

Sine rule is used to show the relationship between the sides and angles of a trinagles.

Using sine rule on triangle XYZ:

XY / sin(Z) = XZ / sin(Y)

XY / sin(90) = 22/sin(41)

XY = 22/sin(41)

The equation that could be used to solve for the length of XY is XY = 22/sin(41)

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Answer:

D

Step-by-step explanation:

the one you selected is correct

An integrated transcriptomic and epigenomic analysis identifies the CD44 gene as a potential biomarker for weight loss within an energy-restricted program: TRUE

Therefore, the statement "an integrated transcriptomic and epigenomic analysis identifies the CD44 gene as a potential biomarker for weight loss within an energy-restricted program" is TRUE.

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Complete question:

An integrated transcriptomic and epigenomic analysis identifies the CD44 gene as a potential biomarker for weight loss within an energy-restricted program. TRUE or FALSE

Answer:

B.

Step-by-step explanation:

Vertex with (2,4) means that the equation will have:

y=a(x-2)^2 + 4

Open downwards means that the a will be negative:

so: y = -a (x-2)^2 + 4

Stretched by a factor of 3 means that the a=3

So if we combine all of these, we will get the equation:

y = -3 (x-2)^2 + 4

A = 6 cm; B = 3 cm; C = 8 cm; D = 10 cm

The Surface area of the prism = 120 cm².

Surface area = Area of A + B + C + D

The side lengths are:

A = 6 cm

B = 3 cm

C = 8 cm

D = 10 cm

Surface area of the prism = 2(area of triangular face) + area of rectangle 1 + area of rectangle 2 + area of rectangle 3

Area of triangular face = 1/2(b)(h) = 1/2(8)(6) = 24 cm

Area of rectangle 1 = (length)(width) = (10)(3) = 30 cm²

Area of rectangle 2 = (length)(width) = (6)(3) = 18 cm²

Area of rectangle 3 = (length)(width) = (8)(3) = 24 cm²

Surface area of the prism = 2(24) + 30 + 18 + 24 = 120 cm².

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Answer:

a₃₂ = 131

Step-by-step explanation:

the nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 7 and d = 4 , then

a₃₂ = 7 + (31 × 4) = 7 + 124 = 131

The inverse function of g(x) is:

[tex]f(x) = -\frac{3}{x + 4}[/tex]

So the correct option is D.

Here we have the function:

[tex]g(x) = -\frac{3}{x} - 4[/tex]

Remember that two functions f(x) and g(x) are inverses if:

[tex]f(g(x)) = x\\g(f(x)) = x[/tex]

Then we must have:

[tex]g(f(x)) = -\frac{3}{f(x)} - 4 = x[/tex]

Solving for f(x), we get:

[tex]-\frac{3}{f(x)} - 4 = x\\\\ \frac{3}{f(x)} +4 = -x[/tex]

[tex]\frac{3}{f(x)} = -x - 4\\\\3 = (-x - 4)*f(x)\\\\\frac{3}{-x - 4} = f(x) = -\frac{3}{x + 4}[/tex]

Then the correct option is D.

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Step-by-step explanation:

Direct variation is essentially a linear equation, where there is a constant rate. Direct variation can be applied to many things, and we can use it to represent how much money someone has in their bank account after "x" weeks if they're depositing a constant amount of money each week.

So a practical example would be: If someone just opened a bank account and deposits $50 every week, how many weeks will it take for them to have $400 in their account.

So the slope is given in the question, it's $50, since their depositing that constant amount each week. So this gives us the equation: [tex]y=50x[/tex] where x represents the amount of weeks. The y represents the amount of money they have, and since we want to find when this equals 400, we set the y=400, and then solve for x. This gives us the equation: [tex]400=50x[/tex]. Dividing both sides by 50 you get: [tex]8=x[/tex]. So it'll take 8 weeks to have $400 dollars, if you deposit 50 dollars each week.

The last three digits of the final number are 109.

A number is an arithmetic value that is used to calculate and represent a quantity.

The digit zero will no longer be utilized in any counting numbers, according to the Leader of Zip, since it stands for nothing. There can only be counting numbers with 1 digit.

From 1 to 11,

11 is the tenth counting number.

So for the case of first 1000 numbers,

Number of permutations =1000/10 =100

Since 101 to 109 contains a zero.

So, 100+9=109

So, 1000+109=1109

Thus, the last number is 1109, and its last three digits are 1,0,9.

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(a) The sample mean for:

Sample 1 is 3.4, Sample 2 is 3.4, Sample 3 is 3.6, and Sample 4 is 3.8.

(b) The range of the sample means is 0.4.

(c) The true statement from the given statements are:

The sample mean, [tex]\bar{x}[/tex], is calculated using the formula, [tex]\bar{x} = \frac{\sum x}{N}[/tex], where N is the sample size.

The range of a data is the difference between the greatest data point and the smallest data point.

(a) Thus, the sample mean for:-

Sample 1:

= (3 + 2 + 6 + 4 + 2)/5 = 17/5 = 3.4.

Sample 2:

= (2 + 2 + 3 + 7 + 3)/5 = 17/5 = 3.4.

Sample 3:

= (6 + 4 + 2 + 2 + 4)/5 = 18/5 = 3.6.

Sample 4:

= (5 + 3 + 2 + 5 + 4)/5 = 19/5 = 3.8.

(b) The range of the sample means is 3.8 - 3.4 = 0.4.

(c) The true statement from the given statements are:

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We have lcm(2, 3, 5) = 30, but none of 30/2 = 15, 30/3 = 10, nor 30/5 = 6 are divisible by 2, 3, and 5, respectively.

To account for this, take the square of 30, 30² = 900. Then 900/2 = 450, 900/3 = 300, and 900/5 = 180 are respectively divisible by 2, 3, and 5.

Multiply this by 2 to get a 4-digit number. It follows that [tex]\boxed{a=1800}[/tex].

The slope of the perpendicular line b is -1/7 if the slope of the perpendicular line a is 7.

According to the question,

Line 'a' is perpendicular to the line 'b'. If the slope of the line 'a' is 7.

The condition of slopes if two lines are perpendicular m₁ m₂ = -1

(7)(m₂) = -1

   m₂ = -1/7

Hence, the slope of the perpendicular line b is -1/7 if the slope of the perpendicular line a is 7.  

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Answer:

A.  63.8 in^2

Step-by-step explanation:

The surface area of a cylinder is given by:

A=2πrh+2πr^2

2πr^2 gives the area of the 2 ends, each with area πr^2.

2πrh gives the suface area of the outside of the cylinder.

r = 0.4 inches

h = 25 inches

Area = 63.8 in^2

Answer:

12/13

Step-by-step explanation:

there are 4 7's in a 52 card deck, that means the other 48 cards are not 7's. 48/52 = 12/13

The value of tan(t−π) is 4/9.

According to the statement

we have given that  tan(t)=4/9 and we have to find the value of tan(t−π).

So,

tan(t−π)  -(1)

take negative sign common from equation (1) it then

tan(t−π) = -tan(-t+π)

and we know that the according to the mathematics formula it become

tan(-t+π) is -tan t

then

tan(t−π) = -(-tan t)

it becomes

tan(t−π) = tan t

then its value becomes

tan(t−π) = tan(t)=4/9.

because we have given that the value of tan t is tan(t)=4/9.

So, The value of tan(t−π) is 4/9.

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It takes Jay, Elle and Kay to work individually for 70 minutes, 105 minutes and 52.5 minutes respectively

A ratio can sometimes be regarded as fraction. While rate has something to do with time.

Given that Jay and Kay can pack the shelves in one aisle of the supermarket in 30 minutes. Kay and Elle take 35 minutes to do the same job. When Jay and Elle work together, the job takes 42 minutes.

Let

The interpretation of the question go thus;

1/J + 1/K = 1/30 ........ (1)

1/K + 1/E = 1/35 .........(2)

1/J + 1/E = 1/42 .........(3)

Make 1/J and 1/E the subject of formula in equation 1 and 2 respectively and substitute them in equation 3

1/J = 1/30 - 1/K  ........ (4)

1/E = 1/35 - 1/K  .........(5)

1/30 - 1/K + 1/35 - 1/K = 1/42

Collect the like terms

- 1/K - 1/K = 1/42 - 1/30 - 1/35

-2/K = (35 - 49 - 42)/1470

-2/K = -56/1470

1/K = 28/1470

Reciprocate both sides

K = 1470/28

K = 52.5 minutes.

Substitute K in both equation 4 and 5

1/J = 1/30 - 28/1470

1/J = (49 - 28)/1470

1/J = 21/1470

Reciprocate both sides

J = 1470/21

J = 70 minutes

1/E = 1/35 - 28/1470

1/E = (42 - 28)/1470

1/E = 14/1470

Reciprocate both sides

E = 1470/14

E = 105 minutes

Therefore, it takes Jay, Elle and Kay to work individually for 70 minutes, 105 minutes and 52.5 minutes respectively

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Answer:

72°

Step-by-step explanation:

3x = 4x - 24 (alternate exterior angles theorem)

x = 24

So, angle RST measures 72°.

Answer:

x>-2

Step-by-step explanation:

x>-2 is the answer since we are looking for x values that the graph takes.

The line x=-2 looks like an asymptote so x>-2 must be the answer

Answer: x>-2

Step-by-step explanation:

No, this not plagiarism .You can use generally accepted facts without citing them.

What defines self-plagiarism?

Self-plagiarism is defined as a type of plagiarism in which the writer republishes a work in its entirety or reuses portions of a previously written text while authoring a new work.

What is considered general knowledge in plagiarism?

How to Avoid plagiarism common knowledge?

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