which equation is the slop formula​

The given equation is

To solve for x, the logarithm to indices relationship will be applied

That is

Hence

This is simplified to get

Therefore, the value of x = 4

To convert milligrams per liter (mg/L) to micrograms per fluid ounce (µg/fl oz), we can use the conversion factor of 29.5735.

This conversion factor takes into account the difference in volume between a liter and a fluid ounce.

1 fl oz = 29.5735 mL

1 L = 1000 mL

So, to convert from milligrams per liter to micrograms per fluid ounce, we divide by 29.5735 and multiply by 1000:

(mg/L) * 1000 / 29.5735 = (µg/fl oz)

Therefore, to convert a value x from milligrams per liter to micrograms per fluid ounce:

x (µg/fl oz) = x (mg/L) * 1000 / 29.5735

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The tοtal area οf the shape cοmprising the rectangle and semicircle is apprοximately 2153.43 square feet.

Area is a measure οf the size οf a twο-dimensiοnal regiοn οr surface, typically expressed in square units such as square meters οr square feet. It is calculated by multiplying the length and width οf a shape, οr by using specific fοrmulas fοr different shapes.

The area οf a rectangle with sides 30' and 60' is given by multiplying the length and width, sο:

Area οf rectangle = length × width

Area οf rectangle = 30' × 60'

Area οf rectangle = 1800 square feet

The area οf a semicircle with radius 15' can be fοund by first calculating the area οf a full circle with radius 15' and then dividing by 2, since a semicircle is half οf a circle. The fοrmula fοr the area οf a circle is:

Area οf circle = π × radius²

Substituting the value οf the radius intο the fοrmula, we get:

Area οf circle = π × 15²

Area οf circle = π × 225

Area οf circle ≈ 706.86 square feet

Therefοre, the area οf the semicircle is apprοximately:

Area οf semicircle = (1/2) × Area οf circle

Area οf semicircle ≈ (1/2) × 706.86

Area οf semicircle ≈ 353.43 square feet

The tοtal area οf the shape cοmprising the rectangle and semicircle is the sum οf the areas οf the twο shapes, sο:

Tοtal area = Area οf rectangle + Area οf semicircle

Tοtal area = 1800 + 353.43

Tοtal area ≈ 2153.43 square feet

Therefοre, the tοtal area οf the shape cοmprising the rectangle and semicircle is apprοximately 2153.43 square feet.

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Answer:

10inches long, 7 inches wide

Step-by-step explanation:

area = bh

70=x(x+3)

x=7 for short side

7+3=10 for longer side

Answer:

once have a short glance to the above solution.

The midpoint of AB is ( -0.5 , 0)

Answer:

I believe its A. y=-x C and D.

Please correct If I am wrong Please and thank you

Step-by-step explanation:

An example of matrices A, B, and C that fit the given conditions are:

A = | 1 2 |
| 3 4 |

B = | 5 6 |
| 7 8 |

C = | 9 10 |
| 11 12 |

Even though B does not equal C and A does not equal 0, the product of AB and AC are the same:

AB = | 1*5 + 2*7 1*6 + 2*8 |
| 3*5 + 4*7 3*6 + 4*8 | = | 19 22 |
| 43 50 |

AC = | 1*9 + 2*11 1*10 + 2*12 |
| 3*9 + 4*11 3*10 + 4*12 | = | 31 34 |
| 69 78 |

As you can see, the product of AB and AC are the same, even though B does not equal C and A does not equal 0. This is an example of how matrices can have the same product even if they are not the same matrix.

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1. Using Radicals the number √17 has a value of 4.123.

2. √510 =260100.

3. √4x = 2√x.

Simply multiply or divide the numbers at each point where it makes sense to multiply or divide a function. If the functions are specified by formulas, you can simply multiply or divide the formulas (inserting numbers before or after is irrelevant).

When multiplying or dividing, it is standard practise for the final result to contain the same number of significant figures as the number with the fewest significant figures. The division of two numbers can be calculated using the following formula: Dividend Divisor = Quotient + Remainder. The number that is being divided in this case is known as the dividend.

The number that divides the number (dividend) into equal parts is known as the divisor.

1. \(\sqrt{17}\\\) = 4.123 (The values of the number √17 is 4.123.)

2.  √510

= 510^2

=(500+10)^2

=500^2+10^2+2×500×10

=250000+100+10000

=260100.

3. √4x = 2√x.

because 4 = 2*2

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The ratio of boy to girl who play kickball at race is 6 to 2. There are 18 girl on the team. the number of boys who play kickball at race is 12 boys.

The ratio of boy to girl who play kickball at race is 6 to 2

6 boys: 2 girls

Multiply the number of girls by the ratio:

18 girls x (6 boys / 2 girls) = 18 x 3 = 54

Subtract the number of girls from the total to get the number of boys:

54 - 18 = 36

Therefore, there are 12 boys who play kickball at race.

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The equation to the standard form:3x + y = 5

The equation of a line with a given slope and passing through a given point can be written using the point-slope form.

Given the slope (m) of -3 and the point (2, -1), the equation of the line can be written as:

y - y₁ = m(x - x₁)

Plugging in the values:

y - (-1) = -3(x - 2)

Simplifying further:

y + 1 = -3x + 6

Finally, rearranging the equation to the standard form:

3x + y = 5

Start with the point-slope form of a linear equation:

y - y₁ = m(x - x₁)

The variables (x, y) represent any point on the line.

(x₁, y₁) represents the coordinates of the given point through which the line passes.

'm' represents the slope of the line.

Substitute the given values into the equation:

Given slope: m = -3

Given point: (2, -1)

Substituting these values into the point-slope form equation:

y - (-1) = -3(x - 2)

Simplifying:

y + 1 = -3x + 6

Rearrange the equation to the standard form:

To convert the equation to the standard form (Ax + By = C), we need to move all the terms to one side of the equation.

Rearranging the equation:

3x + y = 5

Now the equation is in the standard form, where A = 3, B = 1, and C = 5.

Therefore, the equation of the line with a slope of -3 and passing through the point (2, -1) is 3x + y = 5.

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Answer:

BE / AB = HE / AH

Step-by-step explanation:

AE is angle bisector

BE / HE = AB / AH

BE / AB = HE / AH

Answer:

the graph's slope-intercept is 3 or 3/1. you do this by finding the rise over run (how many squares does it go up, and how many does it go over).

The Y-intercept is -2. You can always find this by using the formula y= mx + b. Whatever number is in the place of "b" is the y-intercept.

I'm going to take a guess and say you're in Algebra 1. Either that or Pre-Algebra. This stuff took me a little while to full grasp, so don't worry! YOu'll understand it soon enough!

The floor area of the engineer's model of the sugar factory is 10.825 square feet.

To determine the floor area of the engineer's model of a sugar factory in square feet, we need to convert the given measurements from inches to feet. Since there are 12 inches in a foot, we can divide both dimensions by 12 to convert them.

The length of the model in feet is 30 inches / 12 = 2.5 feet, and the width is 52 inches / 12 = 4.33 feet.

To find the floor area, we multiply the length by the width:

Area = Length × Width

= 2.5 feet × 4.33 feet

= 10.825 square feet

It's important to note that the given measurements are not a standard aspect ratio or scale for a sugar factory. The given dimensions may be scaled down for the model's convenience, so the calculated floor area is only applicable to the scale of the model.

In actuality, a sugar factory would have much larger dimensions.

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The radian measure of the angle at the center of the circle is approximately 1.6623 radians.

We are given that the radius of the circle is 77.0 cm and the length of the intercepted arc is 128 cm. We need to find the radian measure of the angle at the center of the circle.

To solve this problem, we use the formula relating the angle at the center of a circle, the radius of the circle, and the arc length intercepted by the angle.

The formula is given byθ = s/rwhereθ = angle at the center of the circle in radians s = arc length intercepted by the angle r = radius of the circle Substituting the given values, we getθ = 128/77.0 = 1.6623 radians (rounded to four decimal places)

Therefore, the radian measure of the angle at the center of the circle is approximately 1.6623 radians.

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Probability that at least one of them is a universal donar is 0.5263.

What is probability ?

What is probability explain?

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

Have given,

Probability of getting a universal donor is 0.072.

X be the “random variable” which “describes the number of universal donors” in the “sample of 10 people”.

X follows a “binomial distribution” with n=10 and p=0.072

P(X=x) = (\({n}C^{x}\))*(\(p^{x}\))*(\(q^{n-x}\)) ; x=1(1)10 ; q=1-p

Required probability,

P(X≥1)= 1 - P(X=0)

= 1 - (10C0)*(\(0.072^{0}\))*(\(0.928^{10}\))

= 1 - 0.4737 = 0.5263

Probability that at least one of them is a universal donar is 0.5263.

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Answer:

9 1/7

Step-by-step explanation:brainlst please

Step-by-step explanation:

64/7 or 9 1/7

that is the answer

The solution set of the example inequality, 2•x + 3 ≤ -3, is the option;

A possible inequality that can be used to get one of the options, (the inequality is not included in the question) is as follows;

Solving the above inequality, we have;

2•x + 3 ≤ -3

2•x ≤ -3 - 3 = -6

2•x ≤ -6

Therefore;

x ≤ -6 ÷ 2 = -3

x ≤ -3

Which gives;

-∞ < x ≤ -3 in interval notation is (-∞, -3]

The solution set of the inequality, 2•x + 3 ≤ -3, is therefore the option;

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The total length of oak wood the customer purchase is 198 feet

The required stem and leaf plot is missing

So, I will make use of the attached plot to answer the question

From the question, we understand that the customer purchase are:

From the attached stem and leaf plot, we have the following readings:

When these lengths are added, we have

Total = 21 + 23 + 61 + 93

Evaluate the sum

Total = 198

Hence, the length of purchase is 198 feet

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Answer:

No, It is not equal to a 60% discount.

Step-by-step explanation:

Think of this. I go into a store and everything is 50% off and I have a coupon myself that is a 50% off discount for a specific item. It may seem like the item is now free, but it isn't. Imagine the item was $1 before any discount. Then the store took 50% off of the $1, leaving it at $0.50. So now with my discount of 50% off the item I will be taking this 50% off of $0.50 = my final discounted cost of $0.25.

Hope I helped you understand :)

The answer is the option C.

An exponential function always is growth whe

x1 = 4 x2 = -4

substitute the values into the given equations!!

(4 + (-4)) / 2 = (0 / 2) = 0

y1 = -5 y2 = 5

(-5 + 5) / 2 = (0 / 2) = 0

midpoint = (0, 0)

bold values - box answers :D

There are 969 methods for the quality control inspector to randomly check 5 smartphones, of which 2 are defective, from the shipment of 21 smartphones.

We can solve this problem using combinations formula, that is a way of counting the number of ways to select k objects from a fixed of n items without regard to order. The range of combinations of k items from a fixed of n objects is given via:

\(C(n, k) = n! / (k! * (n-k)!)\)

in which:

In this situation, we want to pick out 2 defective smartphones out of 2 defective smartphones and 19 non-defective smartphones, and we need to pick out out three non-defective smartphones out of the ultimate 19 non-defective smartphones.

Consequently, the number of approaches to choose 2 defective smartphones and 3 non-Defective smartphones from the set of 21 smartphones is:

\(C(2, 2) * C(19, 3) = 1 * (19! / (3! * 16!)) = 191817 / (321) = 969\)

Therefore, there are 969 methods for quality control.

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Answer:

22 minutes

Step-by-step explanation:

990/45=22

Answer:

it will take 22 minutes

i just multiplied 45 and 22 and got 990

(a) The independent variable is age (a) and the dependent variable is population (P).

(b) P(20) = 6.38 million. This means that 6.38 million Americans were 20 years or older in 2015.

(c) P(0) = 363.804 million. This means that 363.804 million Americans were 0 years or older in 2015.

Using the perimeter of a rectangle, the length of wire required is calculated as: 8.4 km.

A rectangle with a length of "l" and a width of "w" has a perimeter which is calculated using the formula below:

Perimeter of rectangle = 2(l + w).

The length of wire required = the perimeter of the island × 3

Length of the island = 0.9 km

Width of the island = 0.5 km

The length of wire required = 2(0.9 + 0.5) × 3

The length of wire required = 2(1.4) × 3

The length of wire required = 2.8 × 3

The length of wire required = 8.4 km.

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Answer:

are this the answers?  

Step-by-step explanation:

The value of x is 16 degrees and the measure of the arc DFG for circles of homework 2 are 1 6.056 times radius of circle.

The property of straight angle says that, the angle of a straight line is equal to the 180 degrees.

It can also be define as the sum of all the angle made on the straight line is equal to the 180 degrees.

For the first problem, the line GE, which is the diameter of the circle has two angles over it (x-3) degree and (12x-25) degrees.

For the diameter GE the sum of these two angle will be equal to 180 degrees. Thus,

\((x-3)+(12x-25)=180\\x-3+12x-25=180\\13x-28=180\\13x=180+28\\x=\dfrac{208}{13}\\x=16^o\)

The value of mDE will be equal to (12x-25) as it is verticle angle of mGF. Thus,

\(arcDE=(12x-25)\\arcDE=(12(16)-25)\\arcDE=167^o\)

Similarly the value of mEF

\(arcEF=(x-3)\\arcEF=(16-3)\\arcEF=13^o\)

Let the radius of the circle is R. Then the measure of arc DFG is equal to the sum of areDEF and arc GF. Thus,

\(arcDFG=\dfrac{2\pi R}{2}+\dfrac{2 \pi R \angle GHF}{360}\\arcDFG=\dfrac{2\pi R}{2}+\dfrac{2 \pi R (167^o)}{360}\\arcDFG=6.056R\)

For the second problem, the angle MN and QO are equal due to the vertical angle property. Therefore,

\((10x-45)=(6x-1)\\10x-6x=-1+45\\4x=44\\x=11\)

The value of mMN is,

\(MN=(10x-45)\\MN=(10(11)-45)\\MN=65^o\)

The value of NP using the property of straight line for line segment MP can be given as,

\(NP=180-MN\\NP=180-65\\NP=115^o\)

Thus, the value of x is 16 degrees and the measure of the arc DFG for circles of homework 2 are 1 6.056 times radius of circle.

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Answer:

72.3sqmm

Step-by-step explanation:

To solve this you need to split the arrow into two shapes. One rectangle and one triangle. First you want to solve the area of the rectangle or the triangle and then vice versa. When you get the area for both add them together, and then round to the nearest tenth.

Since the height of the triangle is currently unknown we must take the total length of the arrow and subtract it by the rectangle's portion of the length, and then that will give us the height of the triangle. After that we take the height, multiply it by the base of 8.4, and finally divide it by 2.

Now that we have both areas we simply add both, and the round.

Answer:

3

Step-by-step explanation:

Answer:14 R3

Step-by-step explanation:

The minimum number of $8 paperback books for inequality n ≥ 23/8, she would need to purchase to qualify for free shipping is 3.

A linear equation is a mathematical equation that describes a straight line in a two-dimensional space. It is an equation that has only one independent variable and one or more coefficients that represent the slope and intercept of the line.

The general form of a linear equation is y = mx + b

Given that n be the number of $8 paperback books Nancy purchases.

The total cost of the books, before taxes;

12 + 8n

To qualify for free shipping, the total cost of the books, before taxes, must be at least $35.

So, the inequality that represents this situation as follows;

12 + 8n ≥ 35

This can be simplified by subtracting 12 from both sides:

8n ≥ 23

Finally, we can divide both sides by 8:

n ≥ 23/8

Since n represents the number of paperback books, and Nancy cannot purchase a fractional part of a book.

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