Clare and Diego each use a ruler to try to determine the slope of line ABin

this right triangle. Clare says the slope is a ratio of y to x of 2. 8:4. 1. Diego

says the slope is 0. 67. The exact slope is 2/3. Was either student close to

the exact value of the slope? Explain or show your reasoning. *

Answer:

Step-by-step explanation:

you divide 318 by 6 so she drove 53 miles per hour

Answer:

53 miles per hour.

Step-by-step explanation:

That is the answer because to find the answer you need to divide. And when you divide 318 and 6, you get 53.

The common region between both inequalities shows the possible solution sets.

Given is the system of inequality as -

y ≤ (- 1/3)x + 3

y ≥ 3x + 2

Refer to the graph of the inequalities attached. The common region to both the inequalities represent the possible solution sets.

Therefore, the common region between both inequalities shows the possible solution sets.

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Addition, subtraction, multiplication, and division are the four fundamental mathematical operations.

Even the most complex mathematical theories use addition, subtraction, multiplication, and division. So one of the keys to developing a grasp of math, and particularly algebra, is to master them. These (and other) procedures are now easily performed thanks to electronic calculators, but these tools can also lead to a dependence that makes truly understanding mathematics challenging. Calculators can be useful for double-checking answers, but if you rely on one too much, you risk missing out on the kind of challenging mental exercises that can improve your ability to not just do math but also grasp what you are doing completely.

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The formula for the area of a trapezoid is (1/2)(b1 + b2)h, where b1 and b2 are the lengths of the bases, and h is the height.

Describe the trapezoid shape.

An open, flat object with four straight sides and one pair of parallel sides is referred to as a trapezoid or trapezium. A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases.

We know that the area is 104 square centimeters and the height is 8 centimeters, we can use that to find the length of the second base.

104 = (1/2)(b1 + b2) * 8

104 = (1/2)(12+b2) * 8

104 = (1/2)(12+b2) * 8

104 = 6 + 4b2

98 = 4b2

b2 = 98/4 = 24.5 cm

The second base of the trapezoid is 24.5 cm.

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The size of an exterior and interior angle of a regular 15-sided polygon is 24° and 156° respectively.

To find the size of each interior angle of a regular polygon you need to find the sum of the interior angles first.

If the number of sides is n, then the sum of the interior angles is:

S = 180 (n-2)

This formula derives from the fact that if you draw diagonals from one vertex in the polygon, the number of triangles formed will be 2 less than the number of sides. Each triangle has 180°.

This form of the formula derives from drawing triangles in the polygon by drawing lines from a central point to each vertex. In this way the number of triangles is the same as the number of sides, but the angles at the centre are not required, so 360° is subtracted.

Once you have the sum of all the interior angles you divide by the number of sides to find the size of each interior angle.

Each interior angle of a regular polygon with n sides:

θ = 180°(n-2)/n

Put n = 15

∴ θ = 180°(15-2)/15 = 156°

Each exterior angle of a regular polygon with n sides:

β = 180° - θ

Put θ = 156°

∴ β = 180° - 156° = 24°

Thus, the size of an exterior and interior angle of a regular 15-sided polygon is 24° and 156° respectively.

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Hope it helps.

If you have any query, feel free to ask.

Answer: 5.96

Step-by-step explanation: the bottom two are too much and the first is by far too less

By contrast, transcendental numbers like π and e are not algebraic expression.

What is algebraic expression ?

An expression or algebraic expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them.

Not algebraic expression ,

An equation that is not an algebraic expression would be something like "x + 2 = 5" because it contains an equal sign and represents a statement of equality rather than a mathematical combination of variables and numbers.

since they are not derived from integer constants and algebraic operations.

By contrast, transcendental numbers like π and e are not algebraic expression.

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The radius of the circular track is 252.23 feet

An equation shows the relationship between numbers and variables in an expression.

The circumference of a circular object is length of the complete arc of the object. It is given as:

Circumference = 2π * radius

A race car drove around a circular track that was 0.3 mile. If 1 mile = 5,280 feet:

0.3 mile = 0.3 miles * 5280 feet per mile = 1584 mile

Let r be the radius of the track, hence:

1584 = 2πr

r = 1584/2π

r = 252.23 feet

The radius is 252.23 feet

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Answer: 252.23 feet

The first person to answer was correct!

Step-by-step explanation:

I took the quiz so you don't have to! <3

The area of the quadrilateral EFCD is 102 sq. units.

A quadrilateral with at least one pair of parallel sides is called a trapezoid.

Given that, In trapezoid ABCD, the parallel sides AB and CD have lengths 8 and 20 units. The height of the trapezoid is 12 units. Points E and F are midpoints of sides AD and BC, respectively.

We know that, A trapezoid midsegment is parallel to the set of parallel lines in a trapezoid and is equal to the average of the lengths of the bases.

Length of EF = AB + DC / 2 = 28/2 = 14 units.

Since, EF is the midsegment therefore, height of the quadrilateral EFCD = 12/2 = 6 units.

Area of the quadrilateral EFCD = (14 + 20 / 2) x 6 = 102 sq. units.

Hence, the area of the quadrilateral EFCD is 102 sq. units.

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Answer:

I got 34 for number 8

Step-by-step explanation:

I'm not sure what number 7 is but hope this helped

(the work on top is where I started on 7)

Answer:

-1/2  5/4

-3/4 11/4

Step-by-step explanation:

Answer: the green box is 1.25

the left gray box is -0.75

the right gray box is 2.75

Step-by-step explanation:

Answer:

4/19

Step-by-step explanation:

Jar a: 3/8

Jar b: 1/11

8+11 = 19

3+1= 4

4/19

Answer:

45

Step-by-step explanation:

45

The daily mileage for which the Ultimo charge is twice the Primo charge is 40.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Primo charges = $21 per day plus 0.30 per mile.

Ultimo charges = $22 per day plus $0.65 per mile.

let x equal the number of miles.

Ultimo Charge = twice Primo Charge

22 + 0.65x = 2(21 + 0.3x)

22 + 0.65x = 42 + 0.60x

42- 22 = 0.65x - 0.60x

20 = 0.5x

x= 20/0.5

x= 40

Hence, the daily mileage is 40.

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The inequality is true.

Inequality is one that leads to unequal or biased outcomes and is an unjust distribution of resources and opportunities. It leads to an increased resolution of the opportunities and resources. Has a socio and political-economic structure.

Thus the answer is 3 to +3 in increments of 1 5/6 to -1/3 21/3 >21/6.

The inequality makes the comparisons between no. or the expressions in the terms of greater or less depending on how numbers are arranged on the number line.

A number line that is going from the negative 3 to positive 3 and is in increasing order.

The second one shows the positive value of 5/6 towards decreasing and a negative value of the -1/3 hence is also correct The third one depicts the 2 and one-third greater than 2 and one half.

Hence the option 1, 2, and 3 are true.

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The values of n and m in the expression are 45 and 9 respectively.

The value of n is both 5 times as the value of m and 36 more than the value than value of m. Therefore, the values of n and m can be found as follows:

Using equations,

n = 5m

n = 36 + m

By substitution,

5m = 36 + m

5m - m = 36

4m = 36

divide both sides by 4

m = 36 / 4

m = 9

Let's find the value of n.

n = 5(9)

n = 45

Therefore,

n = 45 and m = 9

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Answer: -2

Step-by-step explanation:

Let the number be w

3*(w+5) = 9

Expanding, we get 3w + 15 = 9

                             3w = 9 - 15 = -6

                              w = -6/3 = -2

Two boxes contain a total of 175 screws. one box has 6 times more than the other. 150 screws are in the large box. So the answer is C. 150.

The given problem can be solved by using algebra. Let x be the number of screws in the smaller box. Then, the larger box has 6x screws. We know that the total number of screws in both boxes is 175, so we can set up the equation:

x + 6x = 175

7x = 175

x = 25

So, the smaller box has 25 screws and the larger box has 6x = 6(25) = 150 screws.

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The value of log_49 7 is approximately 0.1845. The value of log_49 7 can be calculated by dividing the logarithm of 7 by the logarithm of 49.

log_49 7 = log(7) / log(49) = 0.1845

The value of log_49 7 can be calculated by dividing the logarithm of 7 by the logarithm of 49. When this calculation is performed, the result is approximately 0.1845. This calculation can be used to determine the logarithmic value of a number to a given base. In this case, the base is 49 and the number is 7. This means that the logarithmic value of 7 to the base 49 is approximately 0.1845.

The value of log_49 7 is approximately 0.1845. The value of log_49 7 can be calculated by dividing the logarithm of 7 by the logarithm of 49.

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Median = 22, Lower Quartile = 9, Upper Quartile = 28,

Interquartile Range = 19, Lower Whisker = 6 , Upper Whisker = 30

Step 1: First, arrange the data in numerical order:

6, 7, 9, 9, 20, 22, 26, 28, 29, 30

Step 2: Calculate the median (middle value):

Median = 22

Step 3: Calculate the lower quartile (Q1):

Q1 = 9

Step 4: Calculate the upper quartile (Q3):

Q3 = 28

Step 5: Calculate the lower whisker (lowest value):

Lower whisker = 6

Step 6: Calculate the upper whisker (highest value):

Upper whisker = 30

Step 7: Plot the data points:

6, 7, 9, 9, 20, 22, 26, 28, 29, 30

Step 8: Draw the boxplot:

The boxplot should have a box with the lower whisker at 6, the lower quartile (Q1) at 9, the median at 22, the upper quartile (Q3) at 28, and the upper whisker at 30.

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The number which should be placed in the spot presently filled with the x is sixty.

Planned order release is the process by which orders are planned but not shipped. It's always changing according to your needs. This is called future forecast receipt based on planned orders. A planned sales order is the process of receiving goods at a specific point in time. We have,

Gross requitrement for week 3 = 65

Schedule recepit for third week= 0

Safty stock value , SS = 10

Quantity = 30

lead time = 2

Project on hand inventory for second week = 25

Project inventory for third week = 20

we have to determine the value of x.

Planed order release for week 1 = project on hand inventory for week 3 + ( Gross requitrement for week 3 - Project on hand inventory for second week) or B18 - SS

=> x = 20 + ( 65 - 25) = 60

Hence, the value of x is 60 .

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The formula to write the function with vertex and point is y = a(x−h)² + k

The term function is referred as a relationship between inputs where each input is related to exactly one output and the function has a domain and codomain or range.

Here we have to write a function given the vertex and a point.

As we all know that the general form of the function is written as follows:

=> f(x) = ax² + bx + c

While in the given question, here we have the value of vertex and the point of the graph, then the general form of the equation is rewritten as, follows:

=> f(x) =  a(x−h)² + k

Here the terms (h, k) refers the vertex and a refers a constant multiplier.

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Answer:

Step-by-step explanation:

[tex]|-5-4| - |1+-3|[/tex]

|-9| - |-2|

9-2

7

Answer:

(4,7)

Step-by-step explanation:

-2x + 3y = 13

-3(x + y = 11)

take the whole bottom equation and multiply by -3 to eliminate the 3y

-2x + 3y = 13

-3x -3y = -33

cancel out 3y

-2x = 13

-3x = -33

add -2 to -3 and 13 to -33

to get -5x = -20

divide -5 on both sides

x = 4

then you can do the exact same steps to find the y coordinates, but if x is 4 then the coordinate point is (4,7)

The inverse of the log is exponential.

An exponential function is a mathematical function with the formula f (x) = ax, where x is a variable and an is a constant that serves as the function's basis and must be greater than 0. The transcendental number e, or roughly 2.71828, is the most often used exponential function basis.

STEP 1: Replace the function notation f(x) by y

f(x) -> y

STEP 2: Switch the roles of x and y.

x -> y

y -> x

STEP 3: Isolate the log expression on one side (left or right) of the equation.

STEP 4: Convert or transform the log equation into its equivalent exponential equation.

Notice that the subscript b in the log form becomes the base with an exponent N in exponential form.

The variable M stays in the same place.

STEP 5: Solve the exponential equation for y to get the inverse. Then replace y by [tex]f^{-1}(x)[/tex] is the inverse notation to write the final answer.

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Each person uses about 142 litres of water each day. The average household uses 349 litres of water each day1.

The overall amount of water used in the UK is thought to be roughly 14 billion litres each day. 3.17 billion litres of water per day are wasted owing to leaks out of this total. Water consumption needs to be at least 2-2.5 litres per person every day.

However, just a small portion of the water consumed in the UK is for drinking. The average UK resident uses 142 litres of water per day at home, while a household of four uses about 349 litres daily.

In some areas of the UK, this number climbed by 25% during the COVID-19 lockdown, reaching almost 175 litres of water per person per day. 142 litres is 9.5 times more than the amount of water a person in urban Ethiopia uses each day.

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Answer:

y=3x-10 (perpendicular)

y=-3x+9 (parallel)

Step-by-step explanation:

perpendicular means that the slope is opposite, the opposite of -1/3x is 3x

to find the y intercept, you plug in the points into the equation

2=3(-4)+b

2=-12+b

-10=b

y=3x-10

parallel means that the slope is the same

you do the same thing as before

3=-3(2)+b

3=-6+b

9=b

y=-3x+9

The length of the above given rectangle is 16.8m.

Given data :

area of square = 181.44 m

rectangle wide = 10.8 m

Length of the rectangle = ?

Length of the rectangle = 10.8 x _____ =  181.44

= 181.44 / 10.8 = 16.8m

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Answer:   A positive 18

hope this helps any

Answer:

Step-by-step explanation:

z^2 = 1

3 *1 = 3

PLUG IN:

3((-1)^2)-(3*-5)

3-(-15)

3+15= 18

The answer is A