Find the distance of a line with endpoints (1, 2) and (7, 4). Round to the nearest tenth.
Distance Formula:
d=√√(x₂-x₁)² + (y₁ - y₁)²

Answer:

A is the answer

Step-by-step explanation:

The form of the Pythagorean triple generator is  (x² + y²)² = (x² - y²)² + (2xy)²

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Answer:

67.5

Step-by-step explanation:

Answer:

300 vitamins = $5.75

500 vitamins = $x

Cross multiplying

300 vitamins x $x = $5.75 x 500 vitamins

300x = 2875

Dividing both sides by 300 to make x stand alone

x = 2875/300

x = $9.583

The percentage strength of neomycin in the final compounded product is approximately 2.5%.

To determine the percentage strength of neomycin in the final compounded product, we need to calculate the weight of neomycin in the cream and divide it by the total weight of the cream.

Neomycin (5%) cream: 30g

The neomycin content is 5% of the total cream weight. To find the weight of neomycin in the cream, we multiply the cream weight by the neomycin percentage:

Weight of neomycin = 30g × 0.05 = 1.5g

Now, to calculate the percentage strength of neomycin in the final compounded product, we divide the weight of neomycin by the total weight of the cream and multiply by 100:

Percentage strength of neomycin = (Weight of neomycin / Total weight of cream) × 100

Percentage strength of neomycin = (1.5g / 60g) × 100 ≈ 2.5

Therefore, the percentage strength of neomycin in the final compounded product is approximately 2.5%.

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Answer:

Pretty sure it is 4

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

What we can see from your table is that as x goes up by 1 y goes down by one

This means that the slope is -x

We also see that when x=0 y=6 which means that the y intercept is 6

this means your equation is

-x+6

We can now plug in x for 3 and get

-3+6=y

y=3

the answer is 3

Answer:

x = 3, y = - 2

Step-by-step explanation:

By substitution method,

4x + y = 10 -------> equation 1.

7x + 2y = 17 -------> equation 2.

From equation 1,

y = 10 - 4x ------> equation 3.

Substitute equation 3 in 2,

7x + 2 ( 10 - 4x ) = 17

7x + 20 - 8x = 17

7x - 8x = 17 - 20

- x = - 3

x = 3

Substitute x = 3 in equation 1,

4 ( 3 ) + y = 10

12 + y = 10

y = 10 - 12

y = - 2

Hence,

x = 3

y = - 2

✿————✦————✿————✦————✿

:

=

=−

✿————✦————✿————✦————✿

:

* , . .

* ℂ - .

* .

* .

* / − +.

* − / + / , +=.

* - / + /

* /

* /

*

* − = -/ + /. , .

* -/ -

* / / . .

✿————✦————✿————✦————✿

pa brainliest kung ayaw, edi wag** char

The given equations of planes are: 15x - 3y + 12z = 2  & 2y = 10x - 8z

To determine whether these planes are parallel, perpendicular or neither, we need to compare the normal vectors of the planes. The normal vector of a plane is given by the coefficients of x, y and z in the equation of the plane.

The normal vector of the first plane (1) is [15, -3, 12] and the normal vector of the second plane (2) is [10, 2, -8/2] = [10, 2, -4].

Now, to check if the planes are parallel or perpendicular, we can take the dot product of the normal vectors. If the dot product is 0, then the planes are perpendicular, and if it is non-zero, then the planes are parallel.

The dot product of the normal vectors of the given planes is:

[15, -3, 12] · [10, 2, -4] = (15)(10) + (-3)(2) + (12)(-4) = 0

Since the dot product is zero, the planes are perpendicular to each other.

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Answer:

The answer is B. 0.1131 because the molecule has been observed and the hill is upwards so there you have

Answer:

C = pi d

C = 3.14 × 70

C = 219.8 inches

A = pi r²

A = 3.14 × 1,225

A = 3,846.5

At a constant rate of 400 miles per hour travel, the plane would be travelling from 32000 feet above the land.

The speed of an object is the ratio of distance and time it takes for the object to travel that distance.

Mathematically,

S = D/T

where

S is velocity

D is the distance traveled or distance traveled

T is the time it takes to travel that distance

Velocity is considered a scalar quantity. A scalar size only has a size. It does not provide information about the direction of object movement.

If an object moves at a constant speed, it means that the object moves the same distance in the same time interval.

Acceleration of an object is the ratio of velocity and time. vector size. Vector quantities have both magnitude and direction.

Mathematics,

a = v/t

When an object is in motion, its acceleration is never zero.

When an object moves, it moves a constant distance over time. Therefore, body positions cannot be the same from the same coordinate system.

Given in the question:

First the plane was travelling at a constant rate of 250  miles per hour.

Initial height was 20000 feet

Now,

As the speed increases and travels at a constant rate of 400 miles per hour.

Now,

   (400 /250 ) × 20000

=  1.6 × 20000

= 32000 feet

Thus, At a constant rate of 400 miles per hour travel, the plane would be travelling from 32000 feet above the land.

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Answer:

150 Square feet

Step-by-step explanation:

15 feet long

10 feet wide

Area = length x width

15 x 10 = 150

150 Square feet

Hope this helped!

Answer:

A) 32.474 + 16.577

     = 49.051

C) 19.213 + 4.578

     = 23.791

Step-by-step explanation:

Place value may be defined as the positional system of a notation where the position of any number with reference to the decimal point determines the value of that number.

A) 32.474 + 16.577

     = 49.051

B) 23.452 + 31.561

   = 55.013

C) 19.213 + 4.578

     = 23.791

D) 8.128 + 9.192

   = 17.32

We have to find the expression which contains 1 in the thousandths place in the sum.

We know after the decimal point, the place value are designated as tenths, hundredths, thousandths, and so on.

Therefore, A). 49.051 and C). 23.791 has a place value of 1 in its thousandths place.

Answer:

0.35 km

Step-by-step explanation:

As there are 100 cm in 1 m and 1000 m in 1 km, then there are 100 x 1000 = 100,000 cm in a km.

Therefore, to work out cm to km, divide cm by 100,000.

So 35,000 ÷ 100,000 = 0.35 km

The number of raisins that must cookies contain on average for the chance of a cookie containing at least one raisin to be at least 99% is λ ≥ − ln(0.01)

Assuming that a Poisson random scatters of raisins.

Let N = the number of raisins per cookie. Then If N is a Poisson random variable with a

parameter λ, then

P(N ≥ 1) = 1 − P(N = 0) = 1 − exp(−λ)

and for this to be at least 0.99, we need

λ ≥ − ln(0.01)

Recall that λ = E[N] is the average number of raisins per cookie.

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The reflection across the x-axis will have the coordinates (x, -y).

         The x-axis and y-axis are found in graphs, and both have positive and negative ends. The horizontal axis is called the x-axis, and the vertical axis is called the y-axis.

         The x-axis has positive integers on its right and negative integers on its left. The y-axis has positive integers above the zero coordinate and negative integers below the zero coordinate.

         If we take a point on the upper side of the x-axis, its coordinates will be (x, y). While drawing its reflection on the x-axis, we need to draw the point on the vertically opposite plain. Thus, the coordinates of the reflection will be (x, -y).

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Answer:

they need $590.1

Step-by-step explanation:

Mrs. Willard already had $475.88 in her savings account. Mr. Willard then received a bonus of $609.00, adding the amounts together would give a total of $1084.88

Since the Willards need $1675.98 for their vacation, subtract $1084.88 from the needed amount, i.e $1675.98-$1084.88

Answer:

591.10

Step-by-step explanation:

hope this helps :D

Answer:

PEMDAS

Step-by-step explanation:

parenthesis

Exponents

Multiply

Divide

Add

Subtract

Answer:

20

Step-by-step explanation:

The sum of the exterior angles of a polygon = 360°

Given 1 exterior angle = 18° , then

number of sides = \(\frac{360}{18}\) = 20

Answer:

20

Explanation:

Sum of exterior angle of a polygon = 360/n

Where n is the number of sides

Putting 18° into the equation,

360/n = 18

Cross multiplying,

18n/18 = 360/18

Therefore, the no of sides of the polygon is 20

Answer:

659 units

Step-by-step explanation:

The length of the segment is the distance between the points.

The distance between two points on the number line is the absolute value of the difference between their coordinates. It does not matter in which order you subtract the numbers.

One point has coordinate 225.

Another point has coordinate -434.

Subtract one coordinate from the other and take the absolute value of the difference.

distance = |-434 - 225| = |-659| = 659

Answer: 659 units

Length of given line segment is 659 units

Step-by-step explanation:

Given:

First point plotted on number line = 225

Second point plotted on number line = - 434

Find:

Length of line segment

Computation:

Length of line segment = Distance between two point

(Distance between two point will be added as absolute value)

So,

Length of line segment = |-434| + |225|

Length of line segment = 434 + 225

Length of line segment =  659 units

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Answer:

An estimate amount Harriet gets paid in a week is £378

Step-by-step explanation:

Harriet works 42 hours a week

1 hour = £9.12

Estimate:

£9 x 42 hours = 378

Actual

£9.12 x 42 hours = 383.04

Harriet works 42 hours a week. She gets paid £9.12 for each hour she works. An estimated amount Harriet gets paid in a week is £378

Ssuppose the actual value and the estimated values after the measurement are obtained. Then we have:

Error = Actual value - Estimated value

Harriet works 42 hours a week. She gets paid £9.12 for each hour she works.

1 hour = £9.12

Estimated

£9 x 42 hours = 378

Actual

£9.12 x 42 hours = 383.04

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Answer:

7.5 × 10\( {}^{2} \) (scientific notation)

Step-by-step explanation:

➟ 750 = 7.5 × 10\( {}^{2} \) (scientific notation)

The answer is.

y = 2, x = -4

Answer:

x=-4

Step-by-step explanation:

First substitute y=3x+14

2x-3(3x+14)=-14

Distribute:

2x-9x-42=-14

Add or subtract like terms

-7x-42=-14

-7x=28

Finally divide both sides by -7

-7x/-7=x

28/-7=(-4)

x=-4

Answer: children = 258, adults = 269

Step-by-step explanation:

let x = number of children

let y = number of adults

x + y = 527

solve for x in terms of y:

x = 527 - y

$1.5x + $2.5y = $1059.50

substitute in x = 527 - y

1.5(527 - y) + 2.5y = 1059.50

Now you can solve for y:

790.50 - 1.5y + 2.5y = 1059.50

y = 1059.50 - 790.5 = 269

Now solve for x:

x + 269 = 527

x = 527 - 269 = 258

Answer: Pigeonhole Principle

Step-by-step explanation:

The Pigeonhole Principle espouses that if there are more objects than the places the objects are supposed to fit into, some of those places will have more than one object. For instance, if there are 20 pigeons and only 19 pigeonholes, one pigeonhole will have more than one pigeon.

If one hundred people in your neighbourhood leave between 7:30 and 8:00 A.M. and arrive 30 minutes later that means they will arrive between 8:00 and 8:30 A.M. This means that 100 people will have to arrive in 30 minutes.

We would have to fit 100 people in 30 minutes. The minutes are the pigeonholes and the people are the pigeons. There will therefore be a situation where at least 2 people will arrive at the same minute because there are many more people than minutes for them to arrive in.

She made a mistake when she subtracted x1 from x2.

Step 1 :

a)

The formula used by Lorena to calculate the slope between 2 points is correct

So the statement given in option 1 is not the reason for her mistake

Step 2:

b)

She has taken the fourth and fifth point and correctly used the x and y co ordinates to calculate the slope

Hence the statement in second option is not true

Step 3:

c)

While calculating the slope the denominator is -2 - (-4) . This gives 2 as the answer. But she has made a mistake in this subtraction giving -6 as the answer.

Hence she has made a mistake in subtracting x1 from x2 and this statement is true

Step 4:

d)

She has not made any mistake in subtracting y1 from y2. Hence this statement is not true

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Given:

Equation of circle is

Answer:

-5

Step-by-step explanation: