Convert 30 kilograms into gram

When a portion of an original figure corresponds to a portion of a duplicate, we refer to them as corresponding parts. This could be in the form of points, segments, angles, or distances.

Parts that match between two congruent triangles are said to as matching. You can identify the corresponding angles and sides.

Triangles are congruent when all 3 types of corresponding sides are congruent. Two triangles have three sides that are equivalent.

The equals sign with a squiggly line on top indicates that the items on each side of the equation were congruent. Then, identify the corresponding sides. Corresponding sides are sides that match between two triangles. Congruent triangles will have the same length.

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The correct answer is (4x^3 - 8x^2 )

Solve by using Foil's Method

Multiply (x - 3)(4x^2)

Begin, by multiplying together, the first terms of binomial

= x * 4x^2 = 4x^3

Now, multiply the last term of binomial.

= -3 * 4x^2 = -12x^2

Sum up the partial products starting from the first to last product from the first to last product and collect it:

=(4x^3 - 8x^2 )

Now, Let us know

What is Foil's Method ?

FOIL a mathematical series of steps used to multiply two binomials.

By definition we have the meaning of FOIL is given by:

F: First

O: Outer

I: Inner

L: Last

Binomial is simply an expression that consist of two variables or terms separated by either the addition sign (+) or subtraction (-).

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The numbers from least to greatest are -

square root of 7, 2.8, square root of 7 and 4.6.

Descending pattern is defined as it is when numbers (and other objects) are arranged in descending order from the largest to the smallest numbers.

Ascending is defined like when numbers (or even other items) are positioned in ascending order from the smallest to the largest numbers.

We have the numbers provided as;

4.6, 2.8, square root of 17 and the square root of 7.

Then,

square root of 7

√7 = 2.645, and

square root of 17

√17 = 4.123

Thus, the given series becomes;

4.6, 2.8, 4.123, 2.645.

Now, arranging them according to ascending order (least to greatest).

2.645, 4.123, 2.8 and 4.6.

Therefore, the series becomes; square root of 7, 2.8, square root of 7 and 4.6.

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Deducted from her paycheck this week for Social Security is $31.13.Medicare is equal to $7.28.

Maria Wehstone, Gross weekly income = 502.16 and annual earnigs till date = 20,086.40

Deduction for this week for social security = 6.20% of 502.16$ = $31.13

Deduction for this week for Medicare = 1.45% of 502.16$ = $7.28

Social security is the safety net that a society offers to people and families to ensure that they have access to health care and to assure financial stability, particularly in circumstances of old age, unemployment, illness, invalidity, work injuries, maternity, or the death of a primary earner.

Based on their career earnings, Social Security replaces a portion of your pre-retirement income. Depending on how much you earn and when you decide to begin receiving benefits, Social Security replaces a different percentage of your pre-retirement income depending on your top 35 years of earnings.

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The claim that a researcher may infer a causal link between variables if one effects another is False.

If a change in one variable's level results in a change in the other variable, then there is a causal relationship between the two variables. Keep in mind that correlation does not always imply causation. Two variables may be linked together without one of them directly contributing to the other's observable behavior.

For instance,

the chart below illustrates the relationship between ice cream sales and temperature. Any business can utilize the concept of causality. As is clear from the graph, there is a correlation between warmer weather and increased sales.

A casual relationship between two variables only exists when one of the variables actually causes the other to exist, which does not appear to be the case here. Instead, since a change in one variable affects the other, this scenario can be thought of as a correlated relationship.

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I understand that the question you are looking for is:

a researcher may claim a causal relationship between variables if one variable influences another. please select the best answer from the choices provided.(True/False).

Answer:

1/6

Step-by-step explanation:

1/2 * 1/3 = 1/6

He ate 1/6 of the whole pan.

Answer:

it's B

Step-by-step explanation:

after a long section it is B

Answer:

D

Step-by-step explanation:

x>10 is your answer. since theres no less than or greater or equal to c and B are automatically out. x>10 says x is greater then 10 so it is D

Its B, always remember to check if the dot is opened or closed on the line!!

The percentage by which the price of the shirt is decreased is 20%.

So, the price of a shirt is marked down from $12.50 to $10.00.

Then,

Now, the shirt's percentage has decreased:
(Change in price)/(Previous price) ×100

Therefore, the percentage by which the price of the shirt is decreased is 20%.

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Answer:

x * 5

Step-by-step explanation:

prosucts refer to multiplication

The formula for calculating the probability of one success under certain conditions is:

x=0.4.

"The ratio of the number of favorable outcomes to the total number of outcomes is the standard mathematical definition of probability. Probability is never more than one, and it is never equal to that number."

Generally, the equation for Probability is  mathematically given as

Probability [tex]$={ }^n C_r p^r q^{n-r}$[/tex]

According to the question,

Total number of trials n'=4

Number of successes r =1

p=0.35

q=1-0.35

q=0.65

Simply replace the value in order to calculate the appropriate probability.

[tex]\text { Probability } &={ }^4 C_1(0.35)^1(0.65)^{4-1} \\[/tex]

[tex]&=\frac{4 !}{(4-1) ! 1 !} \times \frac{35}{100} \times\left(\frac{65}{100}\right)^3 \\[/tex]

[tex]&=4 \times \frac{35}{100} \times \frac{274625}{1000000} \\[/tex]

=0.384475

=0.4

Hence, the probability of 1 success as per the given condition is equal to 0.384475= 0.4.

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[tex] - 6n - 9 - 9n = - 24 \\ - 15n = - 24 + 9 \\ - 15n = - 15 \\ 15n = 15 \\ n = \frac{15}{15} = 1[/tex]

Answer:

m represents the slope.

Step-by-step explanation:

m represents the slope. To find the slope, you can use the slope formula.

m=slope

b=y-intercept.

Hope this helps!

Please mark as brainliest if correct!

Answer:

-2/3

Step-by-step explanation:

(x1, y1) = (4, 1)

(x2, y2) = (1, 3)

m = (y2 - y1) / (x2 - x1) = (3 - 1) / (1 - 4) = 2 / (-3) = -2/3

Note that we used the point with the bigger x as the "first" point. It does not change the result.

The length of the side of the cube is 100 centimeters

The formula for volume of a cube is expressed as:

Volume, V = a³

Where a is the length of its side

Given that the volume is 1 million cubic centimeters = 1, 000, 000

Substitute the values

1, 000, 000 = a³

Find the cube root of both sides

a = ∛10^6

a = 100 centimeters

Thus, the length of the side of the cube is 100 centimeters

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Answer:

Screenshot

Step-by-step explanation:

The y-intercept is -5 so the line hits the y-axis at -5. The slope of the line is 1/2 so the line goes up one and to the right two each time.

Some basic concepts and properties based on bar graph and histogram are discussed underneath.

What is a bar grapht?

A bar graph is generally used to illustrate the entire data in the form of rectangular bars. It is also known by the name bar chart. There occur some gap between the two consecutive bars.

What is a histogram?

A type of graph used to depict the frequency of each class with the numerical data. In histogram,  the class intervals have equal sizes and there do not exist any gap between the bars in a histogram.

Fill in the blanks using appropriate term

A __bar graph__ displays the frequency of each class with qualitative data and a _histogram_ displays the frequency of each class with quantitative data.

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After converting all the given units of length into meters we get,

[tex]108 in = 2.7432 m\\108 ft = 32.9184 m\\12 ft = 3.6576m\\1 yd= 0.9144m[/tex]

As per the question statement, we are supposed to convert these given units of length into meters i.e., 108 inches, 108 feet, 12 feet, 1 yard.

We know

[tex]1 foot = 12 inches[/tex]

[tex]1 inch = 2.54 cm\\[/tex]

[tex]12 inches = 2.54*12=30.48 cm\\1 cm = 0.01 m \\30.48 cm = 0.3048 m[/tex]

Therefore, we can infer that 1 foot = 0.3048 m

So,

[tex]108 in = 2.7432 m\\108 ft = 32.9184 m\\12 ft = 3.6576m\\[/tex]

Now it is a standard that 1 yard equal to 0.3048 meter

This question is a classic example to the conversion of length from one unit to another.

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Answer:

1106.4.

Step-by-step explanation:

10*3 = 1000

106.4 + 1000

= 1106.4.

Answer: 1106.4

Step-by-step explanation:

[tex]106.4+10^3=\\106.4+10*10*10=\\106.4+1000=\\1106.4[/tex]

Answer:

14

Step-by-step explanation:

Let x = number of rides.

Tony's cost: 4.5x + 25

Ride's cost: 5x + 18

Set the prices equal and solve for x.

5x + 18 = 4.5x + 25

Subtract 4.5x from both sides.

0.5x + 18 = 25

Subtract 18 from both sides.

0.5x = 7

Multiply both sides by 2.

x = 14

Answer: 14

Answer:

x=2

Step-by-step explanation:

2x+3=7

2x=7-3

2x=4

x=4/2=2

x=2

so let x be 2

2x2+3=7

Answer:

The child grew 8 inches. Hope this helps.

Using translation concepts, the coordinates of the image of the triangle are given as follows:

A'(-1,-4), B'(-2,0), C'(-3, -11).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

The rule for a 90° counterclockwise rotation about the origin is given as follows:

(x,y) -> (-y,x).

Hence the coordinates of the image of the triangle are given as follows:

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The total proportion of shirts between two prices is 0.9431, which is obtained using the knowledge of proportion and statistics.

What is proportion?

In mathematics, a proportion is defined as the comparison between two numerical quantities. If both possess the same nature, they are called directly proportional, or else called inversely proportional.

Calculation of the proportion based on the problem

The mean and standard deviation are given to be 45 and 5 respectively

Calculate standard normal variate using the formula, z = (x - 45) / 5

Taking x = 37, we get,

z1 = (37 - 45) / 5

= -1.6

Using the z table, we get the value, z1 = 0.0548

Now, taking x = 59.35, we get,

z2 = (59.35 - 45) / 5

= 2.87

Using the z table, we get the value, z2 = 0.9979

The proportion between two prices is given by z = z2 - z1

z = 0.9979 - 0.0548

= 0.9431

Hence, the proportion of shirts between the two prices is 0.9431.

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