Write and solve an inequality. A grown man will burn roughly 100 calories for each mile run.if he burns greater than 850 calories, how many miles did he run?

Answer:

346in

Step-by-step explanation:

\(\hookrightarrow Here,\\\\\hookrightarrow a=56 in, b = 22 in, c = 73 in, and d = 25 in\\\\Now,\\\\\hookrightarrow Perimeter=Sum\:of\:all\:sides\\\\\hookrightarrow Perimeter=a+b+b+d+(c-2d)+b+d+b+a+c\\\\\hookrightarrow Perimeter=56+25+22+22+(73-25-25)+22+25+22+56+73\\\\\hookrightarrow Perimeter=346in\)

Answer:

C and E

Step-by-step explanation:

23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.

Answer:

sum = 650

Step-by-step explanation:

average is calculated as

average = \(\frac{sum}{count}\)

given average = 65 and count = 10 , then

65 = \(\frac{sum}{10}\) ( multiply both sides by 10 )

10 × 65 = sum , that is

sum = 650

For Mai's conclusion to be true, the following inequality should be satisfied -

M{x} > G{x}               for all {x} ∈ R

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that Mai says f(x) is always greater than g(x) for the same value of x.

Now, for Mai's conclusion to be true, the following inequality should be satisfied -

M{x} > G{x}               for all {x} ∈ R

Therefore, for Mai's conclusion to be true, the following inequality should be satisfied -

M{x} > G{x}               for all {x} ∈ R

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Since a kite is a quadrilateral, it has the value of 360 total degrees.

Answer:

Brayden split cups 8 3/10 of flour into batches of 2 1/2 cups. How many batches of flour did Brayden have?

Sophie has fabric cut into 2 1/2 pieces yards in length. If the original fabric was 8 3/10 yards, how long was each piece?

Step-by-step explanation:

Answer:

ok i will answer only two which two do you want me to answer

Step-by-step explanation:

Answer:

i, iii and iv

Step-by-step explanation:

196 = 14²

400 = 20²

324 = 18²

According to the model, the recommended amount of sleep for a 25-year-old person is equal to 6.75 hours of sleep.

In Mathematics and Statistics, a line of best fit is also referred to as a trend line and it can be defined as a statistical or analytical tool that is typically used by researchers and mathematicians in conjunction with a scatter plot, in order to determine whether or not there is any form of association and correlation between a data set.

Based on the scatter plot, we can logically deduce that a linear equation which represents the line of best fit include the following:

y = -0.25x + 13

For a 25 years old person, the recommended hours of sleep can be calculated as follows;

y = -0.25x + 13

y = -0.25(25) + 13

y = -6.25 + 13

y = 6.75 hours of sleep.

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If Partial Derivatives f(x,y) -8e^4x sin(7y) is 32 e^(4 x) sin(7 y) and

56 e^(4 x) cos(7 y)

Partial Derivatives

d/dx(8 e^(4 x) sin(7 y))

Factor out constants:

= 8 (d/dx(e^(4 x))) sin(7 y)

Using the chain rule, d/dx(e^(4 x)) = (d e^u)/(du) (du)/(dx), where u = 4 x and d/(du) (e^u) = e^u:

= e^(4 x) (d/dx(4 x)) 8 sin(7 y)

Factor out constants:

= 4 (d/dx(x)) 8 e^(4 x) sin(7 y)

Simplify the expression:

= 32 e^(4 x) (d/dx(x)) sin(7 y)

The derivative of x is 1:

= 32 e^(4 x) sin(7 y)

Simplify the expression:

32 e^(4 x) sin(7 y)

Part 2:

Partial Derivatives

d/dy(8 e^(4 x) sin(7 y))

Factor out constants:

= 8 e^(4 x) (d/dy(sin(7 y)))

Using the chain rule, d/dy(sin(7 y)) = (dsin(u))/(du). (du)/(dy), where u = 7 y and d/(du) (sin(u)) = cos(u):

= cos(7 y) (d/dy(7 y)) 8 e^(4 x)

Factor out constants:

= 7 (d/dy(y)) 8 e^(4 x) cos(7 y)

Simplify the expression:

= 56 e^(4 x) cos(7 y) (d/dy(y))

The derivative of y is 1:

=  56 e^(4 x) cos(7 y)

Simplify the expression:

56 e^(4 x) cos(7 y)

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Answer:

11/-13

Step-by-step explanation:

5 - (-6)  = 11

-------------

-4 - 6 = -13

Answer:

the clean price of the bond is $999.98.

Step-by-step explanation:

First, we need to calculate the accrued interest, which is the interest that has accumulated on the bond since the last coupon payment. The bond pays a semi-annual coupon, so there are 6 months between coupon payments. Since there are 4 months to the next coupon payment, the accrued interest is:

accrued interest = coupon rate * (time since last coupon payment / time between coupon payments)

accrued interest = 0.069 * (2 / 6)

accrued interest = 0.023

Next, we can calculate the clean price of the bond by subtracting the accrued interest from the invoice price:

clean price = invoice price - accrued interest

clean price = 1022 - 0.023

clean price = 999.98

Therefore, the clean price of the bond is $999.98.

Answer: The percentage of people surveyed who liked blue cars is 50%.

Step-by-step explanation:

Total number of people partaking in survey= 36

number of people who like blue cars= 18

therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)

hence, percentage of people who liked blue cars= (18/36)*100 %

                                                                                  = 50%  

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Answer:

Percentage of people who like blue-coloured cars is 50%

Number of people who were surveyed=36

Number of people who like blue-colored cars=18

Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100

=(18/36)*100

=50%

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x and y have the values 7 and 7√2, respectively.

The sides of a right triangle with 45-degree acute angles have a unique ratio of 1:1:2.

We can use this information to determine the values of x and y because the base is specified as being 7.

Let's give the perpendicular side the value of x, and the hypotenuse the value of y.

The perpendicular side (x) and the base (7) have the same length because the acute angles are both 45 degrees.

Consequently, x = 7.

We can determine that x:y:2x using the ratio of 1:1:2.

When we enter the value of x, we may calculate y:

7:y:√2(7)

Simplifying even more

7:y:7√2

Given that the hypotenuse (y) equals 72, we can write:

y = 7√2

Thus, x and y have the values 7 and 7√2, respectively.

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Answer:

17

Step-by-step explanation:

Side a = 17

Side b = 8

Side c = 15

Angle ∠A = 90° = 1.5708 rad = π/2

Angle ∠B = 28.072° = 28°4'21" = 0.48996 rad

Angle ∠C = 61.928° = 61°55'39" = 1.08084 rad

C=61.928°B=28.072°A=90°b=8a=17c=15

Area = 60

Perimeter p = 40

Semiperimeter s = 20

Height ha = 7.05882

Height hb = 15

Height hc = 8

Median ma = 8.5

Median mb = 15.52417

Median mc = 10.96586

Inradius r = 3

Circumradius R = 8.5

Vertex coordinates: A[0, 0] B[15, 0] C[0, 8]

Centroid: [5, 2.66667]

Inscribed Circle Center: [3, 3]

Circumscribed Circle Center: [7.5, 4]

Answer:

18

Step-by-step explanation:

When dilating a segment by a scale factor, we multiply the original length by the scale factor to find the length.

2*9 = 18

On simplifying the given equation, the value of x = -7/2.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. Variables, constants, and mathematical operations including addition, subtraction, multiplication, and division are frequently used in it. Equations can be solved to get the values of the variables that make the equation true. Equations are frequently symbolised with the equals sign (=).

Given,

\((1/4) ^{x+1} =32\)

1/4 can be simplified as\((1/2)^{2(x+1)\)

or it can be written as \(2^{-2x - 2}\)

32 can be expressed as 2⁵

⇒ \(2^{(-2x - 2)} = 2^5\)

As base is same, power will be same,

⇒ -2x - 2 = 5

⇒ 2x + 2 = -5

⇒ 2x = -7

⇒ x = -7/2

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Correct question -

What is the solution to this equation? \((1/4) ^{x+1} =32\)

a: 3/2b: 2c: -2d: -7/2

Answer:

\(x > 3\)

Step-by-step explanation:

1) Add 6 to both sides.

\(9x > 21 + 6\)

2) Simplify 21 + 6 to 27.

\(9x > 27\)

3) Divide both sides by 9.

\(x > \frac{27}{9} \)

4) Simplify 27/9 to 3.

\(x > 3\)

Therefor, the answer is option B. x > 3.

The equation of the line is y = -3x -1.

We are given coordinates of two points and we have to find a general equation of the line. We know that the general equation of a line is written as y = mx + b where m is the slope and b is the intercept. We have to find these two constants to write our equation in a general form.

To find the slope, we will use a two-point form. In this form, we are given the coordinates of two points and we find the slope with the help of this formula.

m = \(\frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)

(-1,2) is (\(x_{1} , y_{1}\)) and (1,-4) is (\(x_{2}, y_{2}\))

Substituting the values in the formula, we get the value of the slope.

m = (-4-2)/(1+1)

m = -6/2  =  -3

m = 3

Now, substitute the coordinates of any point and the value of slope in the general equation of a line to find the value of b.

Let us take the point  (-1,2)

y = mx + b

2 = -3(-1) + b

2 = 3 + b

b = -1

Therefore, m = -3 and b = -1.

The general equation of a line is y = -3x - 1. The line on the graph is represented by the function y = -3x -1.

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Answer:10% rate:

Principal = p

Rate = 0.10

Interest = 0.10p

5% rate:

Principal = 15500 - p

Rate = 0.05

Interest = 0.05(15500 - p) = 775 - 0.05p

0.10p + (775 - 0.05p) = 1450

0.05p + 775 = 1450

0.05p = 675

p = 13500

10% rate:

Principal = p = $13,500

5% rate:

Principal = 15500 - p = 15500 - 13500 = $2000

Step-by-step explanation:

hope it helps

Answer:

342 ×

2

3

=

228

Step-by-step explanation:

342 ×2/3=

342 ×2/3=  

342 × 2

1 × 3=  

684 divided by 3=  

684 ÷ 3

3 ÷ 3

= 228

Answer:

228

Step-by-step explanation:

342 divided by three equals 114, if Annie has to make 2/3s of  the cookies, then she has to make 228 (114+114).

The compound inequality that represents the range of the actual weight of the object is 125.4 ≤ w ≤ 126.2.

Part A: The absolute value inequality that describes the range of the actual weight of the object is:

|w - 125.8| ≤ 0.4

Part B: To solve the absolute value inequality, we can break it down into two separate inequalities:

w - 125.8 ≤ 0.4 and - (w - 125.8) ≤ 0.4

Solving the first inequality:

w - 125.8 ≤ 0.4

Add 125.8 to both sides:

w ≤ 126.2

Solving the second inequality:

-(w - 125.8) ≤ 0.4

Multiply by -1 and distribute the negative sign:

-w + 125.8 ≤ 0.4

Subtract 125.8 from both sides:

-w ≤ -125.4

Divide by -1 (note that the inequality direction flips):

w ≥ 125.4

Combining the solutions, we have:

125.4 ≤ w ≤ 126.2

The object is 125.4 ≤ w ≤ 126.2.

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The answers are:

5x + 3y = 41

2x + 3y = 20

           -2x - 3y = -20

Therefore, the answers are:

Hoped this helped

\(-BrainiacUser1357-\)

Answer:

Step-by-step explanation:

It looks like you need to solve this system of equations.

That means we need to find a value for x and a value for y that makes both equations true.

Since both equations have a 3y in them, this system is ready to use a method called "elimination method"

Since the x terms are lined up, and the y terms are lined up, the equal signs are lined up, and the constants are lined up...you can subtract the bottom equation from the top equation.

5x + 3y = 41

2x + 3y = 20

Subtract and you will get

3x + 0y =21

We don't need to write that 0y, because it is 0.

3x = 21, now divide by 3

x = 7, almost finished!

Use x = 7 in either of the original equations to find y.

5x + 3y = 41 and x = 7

5•7+ 3y = 41

35 + 3y = 41

-35 -35

3y =6

y = 2

So the solution is x=7 and y=2

That can also be written as an ordered pair (7, 2)

solution

Part a

For this case we have this:

2 1/2 = 2.5 ft * 4 walls =10ft

21 1/4 = 21.25 ft * 3walls = 63.75 ft

32 ft * 1 wall = 32 ft

Part b

3.5 ft * 3walls = 10.5 ft

22.75 ft * 2walls = 45.5 ft

58 ft* 1 wall = 58ft

Part c

P = Number of walls * lenght of wall

Part D

For Valerie we have:

10ft + 63.75 + 32 ft= 105.75 ft

And for Seth we have:

10.5 + 45.5 + 58ft= 114 ft

Part E

We have different answers since both measures different values

And we can see that we dont have the same answer since 105.75 ft is not equal to 114 ft

Answer:

FH ~ 10.02

Step-by-step explanation:

1. Approach

One should first find the circumference of the given circle. Then one should find how large the fraction of the circumference one is supposed to find is. Finally, one should multiply the fraction of the circumference one is supposed to find by the total circumference.

2. Circumference of the circle

The formula for circumference is;

\(2r\)π

Substitute in the given values;

It is given that the radius is, hence

2 (7) π

14π

3. Find the fraction of the circumference one is supposed to find

It is given that the angles over the measure of the total degrees of angles in a circle are equal to the arc surrounding the angles of the circumference. Essentially;

\(\frac{angles}{360}=\frac{arc}{circumference}\)

Substitute in the given information and solve;

\(\frac{82}{360}=\frac{arc}{14pi}\)

arc = \(\frac{41}{180}*14pi\)

arc = \(\frac{287}{90}*pi\)

arc ~ 10.02