1. Which ratio is equivalent to 4:10? ​

a.) The value of pulses exported by US in billion would be=30 billion.

b.) The ratio of wheat export of UK to maize export of IND would be= 6:5

For question a.)

To calculate the pulses, the following steps should be taken as follows:

From the bar chart, the value of pulses in billions = 30 billions.

For question b.)

The ratio of wheat export at UK and maize export at IND would be calculated as follows:

The quantity of wheat export at UK = 24

The quantity of maize export at IND = 20

Therefore, the ratio of wheat to maize = 24:20= 6:5

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Answer:

480 push-ups

Step-by-step explanation:

40 times 12 = 480

or

80 times 6 =480

Number of pushups that can be completed in 5 minutes = 40

Number of pushups that can be completed in 1 minute :-

\( = \frac{40}{5} \)

\( = 8\)

So , 8 pushups can be completed in one minute .

1 hour = 60 minutes

Number of pushups that can be completed in 1 hour :-

= 8 × 60

= 480 pushups .

Therefore , I can complete 480 pushups in one hour .

Answer:

m = - 1 , m = 0 , m = \(\frac{7}{2}\)

Step-by-step explanation:

2m³ - 5m² - 7m = 0 ← factor out common factor m from each term

m(2m² - 5m - 7) = 0

factorise the quadratic 2m² - 5m - 7

consider the factors of the product of the coefficient of the m² term and the constant term which sum to give the coefficient of the m- term

product = 2 × - 7 = - 14 and sum = - 5

the factors are + 2 and - 7

use these factors to split the m- term

2m² + 2m - 7m - 7 ( factor the first/second and third/fourth terms )

2m(m + 1) - 7(m + 1) ← factor out (m + 1) from each term

(m + 1)(2m - 7)

then

2m³ - 5m² - 7m = 0

m(m + 1)(2m - 7) = 0 ← in factored form

equate each factor to zero and solve for m

m = 0

m + 1 = 0 ( subtract 1 from both sides )

m = - 1

2m - 7 = 0 ( add 7 to both sides )

2m = 7 ( divide both sides by 2 )

m = \(\frac{7}{2}\)

solutions are m = - 1 , m = 0 , m = \(\frac{7}{2}\)

Answer:

Step-by-step explanation:

The mean of the data is 31 hours and the median of the data 27.2 hours.

24 of the families in the sample turned on the television for less than 16 hours for the week.

The 7th percentile = 16 hours

Step 1:

The median is a value that divides the whole data into two equal parts. It implies that the median represents the 50th percentile of the data.

Given that the median is 27.2 hours, thus the 54th percentile should be greater than 27.2 hours.

Thus, the given statement is false.

Step 2:

Let assume that N is the total number of families

24 of the families in the sample turned on the television for less than 16 hours for the week.

The 7th percentile = 16 hours

It means that 7% of N = 24

N = 24/0.07

N = 343

Step 3:

From (2), N = 343

Given that median= 27.2 hours.

It means 200 families turned on their television for less than 27.2 hours.

We don't know if this is true for 35 hours. 100 families may use less than 35 hours and 200 may use more than 35 or vice versa. In addition to that, even 50 families might use less than 35 and 350 may use more than 35 hours.

Hence, the statement is false.

Step 4:

The median is the 50th percentile value which is = 27.2 hours

Step 5:

The statement is false

The 25th percentile is the first quarter of the data and if the 7th percentile is 16 hours, then the 25th percentile should be greater than that.

Answer:

d

Step-by-step explanation:

it is

The result of the row operation on the matrix is given as follows:

\(\left[\begin{array}{cccc}1&0&0&8\\0&8&0&3\\0&0&5&6\end{array}\right]\)

The matrix in this problem is defined as follows:

\(\left[\begin{array}{cccc}2&0&0&16\\0&8&0&3\\0&0&5&6\end{array}\right]\)

The row operation is given as follows:

\(R_1 \rightarrow \frac{1}{2}R_1\)

The meaning of the operation is that every element of the first row of the matrix is divided by two.

Hence the resulting matrix is given as follows:

\(\left[\begin{array}{cccc}1&0&0&8\\0&8&0&3\\0&0&5&6\end{array}\right]\)

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The measure of 32° complement is 58°.

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

The angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.

Given,

The measure of an angle = 32°

Complimentary angles are those angles whose sum is 90°

So,

Compliment + 32° = 90°

Compliment = 90 - 32 = 58°.

Hence "The measure of 32° complement is 58°".

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The angle measures for this problem are given as follows:

The sum of the measures of the internal angles of a triangle is of 180º.

The triangle in this problem is ABC, hence the measure of a is obtained as follows:

a + 68 + 50 = 180

a = 180 - (68 + 50)

a = 62º.

c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:

Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:

a + b = 180

62 + b = 180

b = 118º.

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Answer:

A.

Step-by-step explanation:

B is wrong because irrational numbers can include pie.

C and D are wrong because irrational numbers don't get a whole number, and instead gives a decimal numbers.

Answer:

-0.3*0.2*12, multiply -0.3 by 0.2 to get -0.06, now multiply 12 by it to get, -0.72.

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

Hey there!

In order to solve this equation, we must first distribute the 3

3x + 9 = -4x + 30

Now we combine like terms

7x = 21

Then we divide both sides by 7 to get x by itself

x = 21/7

x = 3

Answer: x=3

Step-by-step explanation:

To solve the given equation, it means to find the value of x. We want to use inverse properties to isolate x. The inverse properties are add/subtract and multiply/divide. Be sure to use the corresponding inverse operation.

3(x+3)=-4x+30                 [distribute]

3x+9=-4x+30                    [add both sides by 4x]

7x+9=30                            [subtract both sides by 9]

7x=21                                 [divide both sides by 7]

x=3

Therefore, we get x=3.

Answer:

I think 7 would be the estimate if im wrong this is the specific number 6 13/15

Step-by-step explanation:

Answer:

She will need aproximately 7 cups

Step-by-step explanation:

First, you add 3 1/5 and 3 2/3 which is 6.86666666667

Just round that answer up and that'll give you seven

x^6

Step-by-step explanation:

I don't know how to explain but I think this is what you mean

Answer:

Step-by-step explanation:

Answer: The answer is log₅(p)¹/³(p+5).

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

Rs500-Rs400=Rs100.

Step-by-step explanation:

sorry the quality of the photos are not good budy but i tried to do best.

Here we have a problem with translations.

We will find that the correct option is C: g(x) = x^2-6x+14

We can define:

Horizontal translation:

For a general function f(x) an horizontal translation of N units is written as:

g(x) = f(x + N)

If N is positive, the shift is to the left

If N is negative, the shift is to the right.

Vertical translation:

For a general function f(x) a vertical translation of N units is written as:

g(x) = f(x) + N

If N is positive, the shift is upwards

If N is negative, the shift is downwards.

Here we know that:

Function g(x) is a transformation of f(x) = x^2

First, we apply a translation to the right of 3 units, then at the moment we have:

g(x) = f(x - 3)

Then we translate the graph down 5 units, then:

g(x) = f(x - 3) - 5

Now we can replace it by the actual function to get:

g(x) = (x - 3)^2 - 5

      =  x^2 - 2*3*x + 9 - 5

      = x^2 - 6x + 4

Then the function is:

g(x) = x^2 - 6x + 4

Thus the correct option is C.

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A) The variable is n, which represents the number of the figure in the pattern.

B) Here is a table for up to 8-figure patterns:

Figure Number of Cheerios

1                      1

2                      3

3                      6

4                     10

5                     15

6                     21

7                    28

8                    36

C) The equation to represent the nth term of the sequence is n(n+1)/2.

D) If the pattern continues, the figure number that will have 20 whole Cheerios in it is 12.

E) It is not reasonable to think this pattern would continue forever. The number of Cheerios in each figure is increasing by 2 each time. This means that the number of Cheerios in the figure will eventually exceed the number of Cheerios in a box.

F) Based on the information provided, the largest figure number we can have using a full box of Cheerios is 107. This is because there are 108 Cheerios in a box, and the number of Cheerios in each figure is increasing by 2 each time.

Here is a more detailed explanation of how to answer each question:

A) Identify and label the variable

The variable is n, which represents the number of the figure in the pattern. For example, the first figure is figure 1, the second figure is figure 2, and so on.

B) Make a table for up to 8-figure patterns

Here is a table for up to 8-figure patterns:

Figure Number of Cheerios

1                        1

2                        3

3                        6

4                        10

5                        15

6                        21

7                        28

8                        36

C) Write an equation to represent the nth term of the sequence

The equation to represent the nth term of the sequence is n(n+1)/2. This equation can be derived by looking at the table of values. For example, the number of Cheerios in the first figure is 1, which is equal to 1(1+1)/2. The number of Cheerios in the second figure is 3, which is equal to 2(2+1)/2. And so on.

D) If the pattern continues, what figure number will have 20 whole Cheerios in it?

If the pattern continues, the figure number that will have 20 whole Cheerios in it is 12. This can be found by solving the equation n(n+1)/2 = 20. The solution is n = 12.

E) Is it reasonable to think this pattern would continue forever? If not, explain.

It is not reasonable to think this pattern would continue forever. The number of Cheerios in each figure is increasing by 2 each time. This means that the number of Cheerios in the figure will eventually exceed the number of Cheerios in a box.

F) Based on the information provided, what is the largest figure number we can have using a full box of Cheerios?

Based on the information provided, the largest figure number we can have using a full box of Cheerios is 107. This is because there are 108 Cheerios in a box, and the number of Cheerios in each figure is increasing by 2 each time.

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The value of r is 26.1123 and the volume of sphere is 74,584.8533.

A sphere is a three-dimensional geometric object that is perfectly round in shape. It is similar to a circle in two dimensions, but extends into the third dimension.

We know; The Volume of Sphere is V = 4/3 * πr³

So, here given that 74,584.8533 = 4/3 * 3.14r³

if we compare the equation we can find that 74,584.8533 is the Volume of sphere.

By simplification we can find the radius of sphere;

r³ =  (74,584.8533*3) / 4*3.14

r³ = 17,805.822123

Therefore, r = 26.1123

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To divide a mixed number by a fraction, we need to convert the mixed number into an improper fraction and then multiply it by the reciprocal of the fraction.

Step 1: Convert the mixed number to an improper fraction:

7 5/6 = (6 * 7 + 5) / 6 = 47/6

Step 2: Multiply the improper fraction by the reciprocal of the fraction:

47/6 ÷ 2/3 = 47/6 * 3/2

Step 3: Simplify the fraction if possible:

47/6 * 3/2 = (47 * 3) / (6 * 2) = 141/12

Step 4: Simplify the fraction further, if necessary:

141/12 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:

141/12 = (141 ÷ 3) / (12 ÷ 3) = 47/4

Therefore, 7 5/6 ÷ 2/3 is equal to 47/4 or 11 3/4.

Answer:

-5+(-7)+9+(-3) = -6

Step-by-step explanation:

We need to add the following i.e.

-5+(-7)+9+(-3)

We know that, +(-) = - (minus)

So,

-5-7+9-3 = -12+6

= -6

So, the value of the given expression is equal to -6.

By translation, the image of the triangle X is equivalent to the triangle E.

Herein we find the representation of a triangle, whose vertices are described below:

A(x, y) = (5, 5), B(x, y) = (5, 6), C(x, y) = (7, 5)

Whose image must be determined by a rigid transformation known as translation:

P'(x, y) = P(x, y) + T(x, y)

Where:

Now we proceed to determine the images of the vertices of the triangle:

A'(x, y) = (5, 5) + (4, - 3)

A'(x, y) = (9, 2)

B'(x, y) = (5, 6) + (4, - 3)

B'(x, y) = (9, 3)

C'(x, y) = (7, 5) + (4, - 3)

C'(x, y) = (11, 2)

Therefore, the triangle E is the image of the triangle X.

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If the expression be \($2\left(x^{\frac{1}{3}}\right)^{\frac{6}{5}} y^{\frac{2}{3}}$\) then the expression be \(&2 x^{\frac{1}{3} \cdot \frac{6}{5}} y^{\frac{2}{3}}\).

Here are the exponent rules: Product of powers rule: When multiplying like bases, add the powers together. Quotient of powers rule: When dividing like bases, subtract powers. When increasing a power by another exponent, follow the "rule of powers" and multiply all powers together.

Exponent rules are those laws that are applied to exponent-based expressions to make them simpler. These laws can also be used to simplify expressions that have exponents that are decimals, fractions, irrational numbers, or negative integers.

Let the equation be \($2\left(x^{\frac{1}{3}}\right)^{\frac{6}{5}} y^{\frac{2}{3}}$\)

Apply exponent rule: \($\left(a^b\right)^c=a^{b c}, \quad$\) assuming \($a \geq 0$\)

\(&\left(x^{\frac{1}{3}}\right)^{\frac{6}{5}}=x^{\frac{1}{3} \cdot \frac{6}{5}} \\\)

simplifying the above equation, we get

\(&=2 x^{\frac{1}{3} \cdot \frac{6}{5}} y^{\frac{2}{3}}\)

Therefore, the correct answer id option c) \(&2 x^{\frac{1}{3} \cdot \frac{6}{5}} y^{\frac{2}{3}}\).

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It's the fourth option. That's evident from the graph. From the left, the green-ish curve veers off to negative infinity, while from the right, the orange-ish curve goes the opposite way.

The fourth statements correctly describes the limit of f (x) as x approaches 1.

The limit of a function is the value that a function approaches as the input value of a function approaches some number.

Based on the graph, the limit of f(x) as x approaches 1 as seen in the green arrow goes to negative infinity while the yellow arrow goes to infinity.

Therefore, the fourth statements correctly describes the limit of f (x) as x approaches 1.

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Answer:

3: 24

2:16

5:40

Step-by-step explanation: Here ya go! I hoped I helped you in any way. If I get this wrong, I'm SO SORRY! I'm just 10 years old, pls don't hate me….

Answer:

Step-by-step explanation:

Perimeter add all the sides.

so let's walk around and combine like terms:

starting on the bottom moving to the left.

3x^2 + x^2= 4x^2 (there are no other squared terms)

back to the bottom moving left again:

-11x-3x+3x+x = -10x (-3x + 3x =0)

so -11x + x = -10x

now add all of the constants

-1 + 2 = 1

so your answer is

4x^2 -10x + 1

Answer:

See below.

Step-by-step explanation:

Problem 1.

1. QU

2. QW

3. UW

Given

4. QUW

Problem 2.

1. CB

2. <1, <2

Given

3. BD, BE

Given

4. ABD, CBE

SAS

Answer:

angle a + 40 = 180 (linear pair)

a = 180- 40

a = 140

Answer:

x = 65

Step-by-step explanation:

the sum of the interior angles of a quadrilateral = 360°

sum the angles and equate to 360

x + 95 + 118 + 82 = 360

x + 295 = 360 ( subtract 295 from both sides )

x = 65