Help please if m1 = 72 then find the value of m3​

The required simplified solution of the given expressions is,

(a) 0.56       (b) Not defined.

Simplifying in mathematics refers to the process of working on and understanding a function in order to make it simpler or more understandable.

Here,

(a)

3 = 7ˣ

Applying logarithm,

log3 = xlog7

log3 / log 7 = x

x = 0.56

(b)

-4 = 7ˣ

Applying logarithm,

log(-4) = xlog7

Because log(-4) cannot be defined, the solution to the equation cannot be defined.

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Solution:

Given:

Using the trig ratio of cot;

The hypotenuse is gotten using the Pythagoras theorem;

Thus, the sketch of the right triangle is;

Hence,

The solution is 40.41 kilometers

The total distance ran by Lashonda for 3 days in the week is 40.41 km

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the distance ran by Lashonda on the first day be = x

The value of x = 12.29 km

Let the distance ran by Lashonda on the second day be = y

The value of y = 9.12 km

Let the distance ran by Lashonda on the third day be = z

The value of z = 19 km

Now , the total distance ran by Lashonda = x + y + z

Substituting the values in the equation , we get

The total distance ran by Lashonda for 3 days in the week A = x + y + z

The total distance ran by Lashonda for 3 days in the week

A = 12.29 + 9.12 + 19

The total distance ran by Lashonda for 3 days in the week A = 40.41 km

Therefore , the value of A is 40.41 kilometers

Hence , total distance ran by Lashonda is 40.41 km

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Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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The fraction of magazines that were delivered to families who were at home is 0.4 if total number of families are 25 out of which 10 were at home and rest are away.

Total number of families = 25

Families at home = 10

So the ratio of the required families

= Families at home/total number of families

= 10/25

= 2/5

To convert the fraction into decimal form, we have to divide and we get

= 0.4

Hence, the number of families in decimal to which magazines got delivered are 0.4

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Answer:

0.9

Step-by-step explanation:

-2.5 + 5.2 + 1.7 + -0.8 = 3.6

Divide by the total count of numbers

= 0.9

Hope this helps!

Answer:

0.9

Step-by-step explanation:

To find the average or mean, you have to add up all the given numbers in your data set, then divide by how many numbers there are.

1. Add up -2.5 + 5.2 + 1.7 + (-0.8)=

(negative times positive equals negative)

simplify the signs

simplified answer= -2.5+5.2+1.7-0.8

Which equals

2. divide by how many numbers there are

So take 3.6 and divide it by 4.

why the number 4?

well, there are 4 numbers in the data set. so when you calculate the average, the formula would be to add up all the numbers in the data set and divide by how many numbers are in the data set and there are 4 numbers in the data set.

So... 3.6 divided by 4

is...

Answer:

the answer is 1,674

Step-by-step explanation:

because if 3hours in 558 miles you multiply the 3hours in 558miles and the answer is 1,674

Answer: 57.75 m

Explanation: First do 5 times 0.25. (The 0.25 is the same as 1/4.) Now take that answer and multiply it by 11. Your equation should look like this: 11*(5 1/4).

* = times

I hope this helps! :)

Answer:

when x=-9, y=1

Step-by-step explanation:

the graph shows when the x is at -9, the y is at 1

Answer:

is this from flvs?

Step-by-step explanation:

The required answer would be (24 -3x - 4x²) / 4x = 0 which is the lcm of the rational algebraic equation 6/x+x-3/4=2.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The given equation below as:

⇒ 6/x + x - 3/4 = 2

We have to determine the lcm of the rational algebraic equation

⇒ 6/x + x - 3/4 = 2

Rearrange the term of 2 in the equation,

⇒ 6/x + x - 3/4 - 2 = 0

Take LCM in the above equation,

⇒ \(\dfrac{6\times4+x\times4x-3\times x -2 \times 4x}{4\times x}\)

⇒ (24 + 4x² -3x - 8x²) / 4x = 0

Combine the likewise terms in the numerator,

⇒ (24 -3x - 4x²) / 4x = 0

Therefore, the required answer would be (24 -3x - 4x²) / 4x = 0.

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Question:

Suppose IQ scores were obtained for 20 randomly selected sets of couples. The 20 pairs of measurements yield x' =97.47, y' =97.35, r=0.892, P=0.000, and y^=-9.15+1.09x, where x represents the IQ score of the wife. Find the best predicted value of y given that the wife has an IQ of 104? Use a significance level of 0.05.

Answer:

y^ = 104.21

Step-by-step explanation:

Given:

n = 20

x' = 97.47

y' = 97.35

r = 0.892

P-value = 0.000

y^ = -9.15 + 1.09x

Here, the wife has an IQ of 104.

The regression equation here is given as:

y^ = -9.15 + 1.09x

Let x represent the IQ of the wife.

x = 104

Hence, the best predicted value of y^ will be:

Let's substitute 104 for x in tge regression equation.

y^ = -9.15 + 1.09(104)

y^ = - 9.15 + 113.36

y^ = 104.21

Therefore, the best predicted value of y^ = 104.21

Step-by-step explanation:

Simple, she found the sum of the interior angles not exterior angles.

The exterior angles of any polygon add up to 360 degrees.

What Cindy did was found the total interior angle measure of a hexagon which is 720

Answer:

28

Step-by-step explanation:

14x2=28

Therefore x=28

Answer:

15.00x +5.00y = 60.00

Step-by-step explanation:

answer is to the equation is 3 because u plug in 3 to x given information provided to get 45.00 dollars. u then subtract 60 and 45 to see how much money u have left for maps. each map is 5.00 dollars and with 15.00 dollars remaining, u can get three maps and three dictionaries to equal 60.00 dollars!! Hope this helps!

Answer:

You can buy 3 maps. Equation: 15a + 5b = 60 ⇒ 15(3) + 5(3) = 60

Step-by-step explanation:

15 multiplied by 3 equals 45. Now you have $15 left. 15 divided by 5 equals 3. Therefore, you can buy 3 maps. Hope that helped! :)

The table with correct values of A, B and C is,

⇒ Donuts   2        4        5        8

    Cost     13.80 27.60 34.50 55.20

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

We have to given that;

The table below shows the ratios of boxed donuts to the cost.

Donuts    A       4        5     C

Cost    13.80  27.60   B   55.20

Now, By definition of ratio, we get;

⇒ A / 13.80 = 4 / 27.60

⇒ A = 13.80 × 4 / 27.60

⇒ A = 2.00

And,

⇒ 4 / 27.60 = 5 / B

⇒ B = 5 × 27.60 / 4

⇒ B = 34.5

⇒ 4 / 27.60 = C / 55.20

⇒ C = 55.20 × 4 / 27.60

⇒ C = 8

Thus, The table with correct values of A, B and C is,

⇒ Donuts   2        4        5        8

    Cost     13.80 27.60 34.50 55.20

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Answer:

a

Step-by-step explanation:

i took the test :)

Derrick and Janis together plant a total of 30 + 90 = 120 strawberry plants on the first day.

To find out how many strawberry plants Derrick and Janis planted on the first day, we need to calculate the sum of the plants they individually planted.

Derrick planted 20% of the 150 strawberry plants:

20% of 150 = (20/100) * 150 = 30 strawberry plants.

Janis planted 60% of the 150 strawberry plants:

60% of 150 = (60/100) * 150 = 90 strawberry plants.

Therefore, on the first day, Derrick and Janis planted a total of 30 + 90 = 120 strawberry plants.

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Answer:

[6×(4−2)+(21×23+1)]÷3 exponent 2

Step-by-step explanation:

[6×(4−2)+(21×23+1)]÷3 exponent 2

Answer:

A. g(x) = -x^2 - 2

Step-by-step explanation:

Okay so it has the same slope as f(x) which means it's x^2, however, it's negative and going the other way so it's -x^2

Since the y-intercept is -2,

g(x) = -x^2 - 2

Hope this helps and be sure to mark this as brainliest! :)

By placing the given value in equation , we get u + v - 4u = (-20, 13)

A physical quantity that has both directions and magnitude is referred to as a vector quantity.

A lowercase letter with a "hat" circumflex, such as "û," is used to denote a vector with a magnitude equal to one. This type of vector is known as a unit vector.

To evaluate u + v - 4u, we first need to find the vector 4u, which is obtained by multiplying the vector u by the scalar 4:

4u = 4(5,-2) = (20,-8)

Now, we can add u and v, and subtract 4u from the result:

u + v - 4u = (5,-2) + (-5,7) - (20,-8)

= (5 - 5 - 20, -2 + 7 + 8)

= (-20, 13)

Therefore, u + v - 4u = (-20, 13).

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answer

is true statement w= 4

As a result, the answer to the given angle problem can be found by comparing the position, measurement, and congruence of two or more angles.

When two lines come together at a common point, an angle is created. They are expressed as a number of degrees, denoted by the symbol °. Acute, right, obtuse, and reflex angles are the other three significant types of angles. 360 degrees make up a circle. A 720° angle indicates that the object has completed two full rotations.

Here,

You can compare angles and take into account their relationships to other angles in addition to calculating degrees or radians.

Since we are comparing the position, measurement, and congruence of two or more angles, we refer to them as having "angle relationships."

For instance, two lines or line segments that cross each other create two pairs of vertical angles.

When a transversal intersects two parallel lines, complex angle relationships, such as alternating interior angles, matching angles, and so forth, result.

As a result, the answer to the given angle problem can be found by comparing the position, measurement, and congruence of two or more angles.

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An equation that could be used to determine M, the unknown side length of the logo is X = (36/5) x M

Let's assume that the unknown side length of the logo is 'M'. The logo is a rectangle, and the area of a rectangle is given by multiplying its length and width. Since we know the length of the logo is 7(1)/(5) feet, we can write the equation:

A = L x W

where A is the area of the logo, L is the length of the logo, and W is the width of the logo.

Substituting the given values, we get:

A = (7(1)/(5)) x M

or

A = (36/5) x M

Now, we know that the area of the logo is exactly the maximum area allowed by the building owner. Let's assume this maximum area is 'X'. So, we can write another equation:

A = X

Combining both equations, we get:

X = (36/5) x M

This is the required equation that could be used to determine the unknown side length 'M' of the logo if we know the maximum area allowed by the building owner 'X'.

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Answer:

6 & 4

8 & 3

12 & 2

1 & 24

Step-by-step explanation:

Any pair of numbers whose product is 24

The number 24 multiplied by 10 results in 240

Hope this helps

Based on the definition of perpendicular bisector, the value of b = 5.

A perpendicular bisector can be described as any line that bisects another line segment at right angles.

This means, the measure of the angles at the point of bisection are right angles (90 degrees).

Therefore:

12b + 30 = 90 [definition of perpendicular bisector]

Solve for b

12b + 30 - 30 = 90 - 30

12b = 60

Divide both sides by 12

12b/12 = 60/12

b = 5

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Answer:

The composite figure is made up of a rectangular prism on top of a rectangular prism.

Step-by-step explanation:

The figure on top is a rectangular prism.  It is a 6 sided figure with each side a rectangle.  The figure on bottom is also a rectangular prism.  It is a 6 sided figure with each side a rectangle.

Answer:

x = -4, 1, 4

Step-by-step explanation:

The function is given as:

f(x) = (x² - x -2)/[(x² - 1)(x² -16)]

We want to find the values of x where the graph will have vertical assymptote.

Vertical asymptotes are defined as vertical lines which correspond to the values of x that will make the denominator of a rational function to be zero.

Thus, to get the values of x that we will have vertical assymptotes, we have to equate the denominator to zero.

We have;

[(x² - 1)(x² -16)] = 0

Thus,

x² - 1 = 0

Or

x² - 16 = 0

So;

x² = 1

x = √1

x = 1

Or

x² = 16

x = ±√16

x = ±4

Values of x that give vertical assymptote are;

x = -4, 1, 4

Answer:

d

Step-by-step explanation:

just trying to help but i don;t know if isss right so sorryy

Answer:

A

Step-by-step explanation:

I did the prep