The mass of two bodies are attracted with a force of 745N.if their distance of separation is 70.3m, find the mass of one the bodies, if the mass of the other is 2050kg (G=6.7by 10^-11Nm^2kg^2

Answer:

#7 m∠4 = 30°  

#8. m∠5 = 150

#22. A'(-6, -3), B'(-3, 4), C'(3, 5)
*** You may just want to put the coordinate points: (-6, -3), (-3, 4), (3, 5) without the A', B', C'. ***

#23. A'(6, -3), B'(3, 4), C'(-3, 5)

Step-by-step explanation:

#7 Angles 30° and ∠4 are corresponding angles and hence equal

#8 ∠4 and ∠5 are supplementary linear angles and add up to 180° So m∠5 = 180 - m∠4 = 180 - 30 = 150°

#22 Reflection about the x-axis means the x-coordinates do not change but the new y-coordinate is the negative of the original y coordinate

In other words, a point(x, y) in the pre-image becomes (x, -y) in the image

#23 With a 180° rotation both x and y axes change signs. (x, y) becomes (-x, -y)

For a sale of $8400 made his gross pay is $373.21

In this question, we have been given Mike Lasueze is guaranteed a minimum salary of $220 per week or 5.5 percent of his total sales, whichever is greater.

We need to find his gross pay for a week in which his total sales were $8,400

weekly pay = $220

commission = 5.5% of sales

                    = 0.055 of sales

let m be the total sale and his gross pay be represented by y

So, we get an equation for the total/gross pay:

y = 0.055x + 220

Required is the gross pay y for x = 8400

y = 0.055(8400) + 220

y = 682

Therefore, for a sale of $8400 made his gross pay is $373.21

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Given: The base function

To Determine: The transformation that would give the function G(x)

Solution

Let us plot the graph of the base function and the new function as shown below

It can be observed that there exist a reflection across the x-axis, also a vertical stetch by a factor of 4

Hence, the correct answer is a vertical stretch by a factor of 4, followed by a reflection across the x-axis, OPTION A

The sunflower had a height of 13 inches on day 0 and 13.91 inches on day 1.

Because sunflowers are big feeders and require a slightly alkaline soil (pH 6.0 to 7.5), make sure we put them in nutrient-rich soil. Before planting, we should also make sure the soil is weed-free. Since a sunflower is cultivated in a garden, its height grows by 7% every day. The sunflower is 15.7 inches tall 2.79 days after being planted. To get the sunflower's 1-day growth factor, apply the following calculation:

X x (1 + 0.07) ^ 2.79 = 15.7

X x 1.07 ^ 2.79 = 15.7

1.2077X = 15.7

X = 15.7 / 1.2077

X = 13

13 x 1.07 = 13.91

The sunflower therefore measured 13 inches on day 0 and 13.91 inches on day 1.

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Answer: 6+1=7

Step-by-step explanation:

Answer:

A answer is A brainly helps you

The total weight is 57kg

The perimeter = 2×(8+6)

= 2(14) = 28m

The diagonal = √8²+6²

= √64+36

100 = 10m

The total length of the frame =

28+10 = 38 m

Therefore the total Weight =

38× 1.5 kg = 57 kg

What is the formula for weight?

The force of gravity acting on an item is known as its weight, and it can be determined using the formula w = mg, which equals the mass times the acceleration of gravity.

You must multiply the sectional area, length, and density collectively to determine the weight of your metal. The product must then be divided by 1,000 in order to convert the weight to kilograms. There are several online metal weight calculators that you may use to figure out the weight of your metal product.

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"An empty set is included in set N" is the translation of the mathematical sentence.

A set is defined as a collection of well-defined objects, numbers or things. In set theory, we use different symbols to represent statements.

To translate Ø⊆N, we need to know the meaning of the symbols we have:

Ø means empty set (A set that does not contain anything).

⊆ means subset (is included in)

N means set N

So we can translate  Ø⊆N as:

An empty set is included in set N or

Therefore, the mathematical sentence Ø⊆N can be translated as "an empty set is included in set N"

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(-5 , 0) is the point we got after slope-intercept form of equation .

What exactly does slope intercept mean?

Equation from the value given table -

1)      y = 3x + 15

2)      y = 5x + 25

3)      y = 7x + 35

4)      y = 9x + 45

5)      y = 10x + 50

graph attached of all equation .

(-5 , 0) is the point .

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A water treatment plant needs to maintain the ph of the water in the reservoir at a certain level. Then the probability that the sample is more than 8.42 is 0.0029 or 0.29%.

Using the normal distribution and the central limit theorem,

The mean is μ = 8.5

The standard deviation is σ = 0.22 .

A sample of 37 is taken, hence n = 37, s = 0.22/√37 i.e. s = 0.0362

The probability that the sample average is more than 8.40 is the p-value of Z when X = 8.4, hence:

Z = X - μ/σ

Z = 8.4 - 8.5/0.0362

Z = 2.76

Z = -2.76 has a p-value 0.0029

0.0029 = 0.29% probability that the sample average is more than 8.40.

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The equation of the line that passes through the point; (-4, 8) and is parallel to x + y = 6 is; x + y = 4.

By expressing the given linear equation in slope-intercept form; it follows that we have;

x + y = 6

y = -x + 6

Hence, the slope of the equation by comparison with; y = mx + c is; -1.

Therefore, the slope of the required equation is same as the two lines are said to be parallel.

Therefore, the required equation from point-slope form of an equation is;

( y - 8) = -1 ( x - (-4))

y - 8 = -x - 4

x + y = -4 +8

x + y = 4.

Ultimately, the required equation is; x + y = 4.

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Answer:

c the last 1

Step-by-step explanation:

bc y where the line ends on y is more than 30 and only 1 line is 5 so 35

Answer:

I think its the last one but it could also be the first

The price of the jacket in decimals is $ 41.89

The decimal numeral system is widely used to express both integer and non-integer numbers.

Let the price of the jacket be x.

Price of the pair of shoes = x + 7.65

Total cost of both the pieces = x + x + 7.65 = 2x+7.65

But the total cost is $91.43

Hence forming a linear equation we get :

$91.43= 2x+7.65

solving the linear equation for x we get :

x=$ 41.89

hence the cost of the jacket is $ 41.89 .

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Step-by-step explanation:

the area of the parallelogram is

baseline × height.

we know the baseline (15 cm), because as parallelogram it must have 2 pays off equal sides. so, the bottom side must be 15 cm too.

15×height = 390

height = 390/15 = 26 cm

now, the height of the triangle on the right is the same height.

and the baseline of this triangle is 25 - 15 = 10 cm.

the area of a triangle is

baseline × height / 2

so, in our case

10 × 26 / 2 = 10×13 = 130 cm²

therefore the area of the trapezium is the area of the parallelogram plus the area of the triangle :

390 + 130 = 520 cm²

Answer:

60

Step-by-step explanation:

0.2x = 12

x=60

:]

Using percentages we can conclude that the total cost of the dinner was $65.

So, the total cost of dinner:

The tip was 25% of the dinner, then we need to find the 25% of 52 as follows:

The total cost of the diner was $52 + $13 which is $65.

Therefore, using percentages we can conclude that the total cost of the dinner was $65.

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The result of the expression 36 ÷ (4+2) is 6

The expression is  

36 ÷ (4+2)

To solve this expression, we have to apply the arithmetic operations in the given expression

An arithmetic operation is the operation specified by combining number or variable with one arithmetic operator. The basic arithmetic operations are addition, subtraction, division and multiplication.

First do the arithmetic operations in the bracket

Add 4 and 2 in the expression

36 ÷ (4+2) = 36 ÷ 6

Divide the number 36 by 6 in the expression

36 ÷ 6 = 6

Hence, the result of the expression 36 ÷ (4+2) is 6

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I would tell her that out of all the people who took the verbal section, 23% scored higher than she did and 77% scored at or below her score. For the math section, 94% of those who took the exam scored at or below her score and 6% scored higher than she did.

Here's the complete question:

Suppose that your younger sister is applying for entrance to college and has taken the sat. she scored at the 77th percentile on the verbal section of the test and at the 94th percentile on the math section of the test. because you have been studying statistics, she asks you for an interpretation of these values. what would you tell her?

I would tell her that out of all the people who took the verbal section, ___% scored higher than she did and ___ % scored at or below her score. For the math section, ___ % of those who took the exam scored at or below her score and ____ % scored higher than she did.

For the Verbal section: 100 - 77 = 23

For the Maths section: 100 - 94 = 6

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Answer:

9/25

0.36

Step-by-step explanation:

Part 1:

You divide 36 by 100 to find the fraction:

36/100

Then, simplify:

36/100 = 9/25

.................................................................................

Part 2:

To find the decimal of a percentage, divide the percent by 100. When dividing by 100, you get the answer by moving the decimal point two spaces to the left.

36% = 0.36

x^2+ y^2-2x-2y = 0 has center (1,1) and radius sqrt 2 and the circle x^2+y^2 =1 has center (0,0) and radius 1

the unit circle has center

(1,1)  , ( 0,0)

and the unit circle has radius

1 , sqrt 2

for this the equation of the circle is

x^2 + y^2 = 1

if we take center as (0,0) then radius become 1

therefore equation of circle becomes x^2 +y^2 =1

similarly if we take center ( 1,1 ) and radius sqrt 2

then (x -1 )^2 + ( y-1 )^2 =2

x^2 +y^2 -2x- 2y +2 =2

this implies x^2 +y^2 -2x -2y =0

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The classification of the numbers as counterexamples of the conjecture is given as follows:

The next number in the sequence is of 256.

The conjecture is defined as follows:

"Any number divisible by 2 is also divisible by 4"

Hence the counterexamples are the numbers that are divisible by 2 but not by 4, then they are classified as follows:

Each number in the sequence is given by the multiplication of the two previous terms, as:

Then the next number is calculated as follows:

32 x 8 = 256.

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Answer:

its {A} Hope gets some of a full chocolate bar

Step-by-step explanation:

she gets 7/8 of a chocolate bar the next day she gets 6/12       7+6=13 so she gets a full chocolate bar

Amy can make 29 meatballs from the remaining beef.

What are mathematics operations?

Amy has 4 pounds of ground beef to make meatballs and he uses 3/8 pound per meatball to make 9 meatballs

We have to subtract 3/8 from 4

= 4 - 3/8

= 29/8

There are 29/8 pounds of ground beef left

Therefore the number of 1/8 pound meatball that can be produced from 29/8 pounds of ground beef can be calculated as follows;

= 29/8 ÷ 1/8

= 29

Hence Amy can make 29 meatballs

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Converse of the statements will be as If two lines are parallel, then they have equal slopes. Conditional statement will be; If two lines have same slopes, then the lines are parallel.

Lines in a plane that are regularly spaced apart are known as parallel lines. Parallel lines don't overlap each other. Perpendicular lines are those that cross at a straight angle of 90 degrees.

Only the slopes of two lines are same then it can be said to be parallel. If two lines have different y-intercepts and equal slopes, they are said to be parallel.

Converse of the statements will be as If two lines are parallel, then they have equal slopes.

Conditional statement will be; If two lines have same slopes, then the lines are parallel.

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y=4x+64

Explanation:

Two lines are perpendicular if the product of their slopes is -1.

Step 1: Find the slope of the line a

Line a passes through the points (1,-3) and (9,-5)

The slope of line a = -1/4

Step 2: Determine the slope of line b.

Let the slope of line b = k

Since the product of the two slopes is -1:

The slope of line b = 4

Step 3: Find the equation of line b.

Line b passes through the point (x1,y1)=(-8,32) and has a slope, m = 4.

Using the slope-point form of the equation of a line:

Substitute the given values

The equation of line b is y=4x+64.

Using proportions, the coordinates of point P that divides the directed line segment YX in the given ratio are found according to the following rule:

P - X = 3/8(Y - X).

A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the context of the problem relating the variables.

One example of application is for the coordinates of a point dividing a segment, as the distance between one end point and the dividing point is a fraction of the total length of the segment.

In the context of this problem, we have that point P divides segment XY in a 3:5 ratio, meaning that PX is 3/8 of the total distance y/x, hence the following proportional equation is built:

P - X = 3/8(Y - X).

In which:

This equation is used to find both the x-coordinate and the y-coordinate of P, as follows:

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The value of solution of expression is,

⇒ (3⁵)

We have to given that;

The expression is,

⇒ (3³ × 3⁴) ÷ 3²

Now, We can simplify by rule of exponent as;

⇒ (3³ × 3⁴) ÷ 3²

⇒ (3³ ⁺ ⁴) ÷ 3²

⇒ (3⁷) ÷ 3²

⇒ (3⁷⁻²)

⇒ (3⁵)

Thus, The value of solution of expression is,

⇒ (3⁵)

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We may be thinking about either of these choices depending on whether we are talking about immigration or emigration.

[tex]\frac{d P}{d t}=r_g \pm r[/tex]

This is further explained below.

Generally, The rates of births and deaths will be represented accordingly by the superscripts [tex]r_b[/tex] and [tex]r_d[/tex].

The model transforms into the following when subjected to the circumstances outlined in the problem:

[tex]\frac{d P}{d t}=r_b P-r_d P^2[/tex]

In conclusion, You need to submit model 1 in order to get more information.

In the event that the proportionality assumptions about birth and death be loosened up, the model that is necessary for issue 1 would become the following:

[tex]\frac{d P}{d t}=r_g \pm r[/tex]

Depending on whether we are discussing immigration or emigration, we may be contemplating either of these options.

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Answer:

Find the measure of each angle. 1. 23. =70°. 2. 45. 5. 24. 9.48 ... Exterior. ANGLE. ¥180-50=130. 6. 213 2106°. =106°. 44-10+42=180. 44 = 148

Step-by-step explanation: