Leah read 1/2 of a book in the morning, and she read some at night. By the end of the day, she still had 2/5 of The book to read left. How much of the book did Leah read at night?

Answer:

Find the incenter of the triangle

Step-by-step explanation:

Step 1: We draw angle bisectors for 2 angles and mark their intersection.

Step 2: Next, we drop a perpendicular line from the incenter of the circle to one edge of the triangle.

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Explanation:

Let's complete the square

y = x^2 + 8x

y + 16 = x^2 + 8x + 16 .... adding 16 to both sides

y + 16 = (x+4)^2

y = 1(x+4)^2 - 16

We added 16 to both sides to allow the right hand side to factor into a perfect square.

The last line shown above is in the form y = a(x - h)^2 + k where

a = 1

h = -4

k = -16

Note the positive 'a' value indicates we have a minimum.

The vertex is (h,k) = (-4, -16)

The lowest y value possible is at the vertex.

So the smallest y value is y = -16.

This means the smallest possible value of x^2+8x is -16.

Answer:

20

Step-by-step explanation:

multiply the sides

Hi ^^

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Your answer is 24m³

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anyways bye! <3

Answer:

The correct answer is C. Recovery.

Step-by-step explanation:

Economic recovery is the economic stage immediately after a recession, where the economy begins to recover after the crisis. In this stage, there is an increase in production and employment and a decrease in unemployment, which leads to a greater abundance of money in the hands of society, which in turn begins to generate higher rates of consumption. In this phase of the cycle, investments increase, both spontaneously and under the influence of rising earnings. There is an increase in the number and volume of bank loans and deposits placed with banks, with a simultaneous stagnation at a low level or even a decrease in the level of interest rates.

The term that best applies to a reversal of economic output which occurs just before a period of new economic growth is recovery

When several periods are compared, economic growth implies an increase in the production of economic goods and services.

When there is a reversal of economic output, the next stage is for the economy to recover.

Hence, the term that best applies is recovery

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Answer:

\(3\frac{1}{5}\)brownies per hour

Step-by-step explanation:

     Given parameters:

Number of brownies = \(\frac{4}{5}\) of a dozen

Time taken  = 3hrs

Unknown:

Average baking per hour = ?

Solution:

The average baking per hour;

    This is a rate problem;

     Average baking per hour = \(\frac{number of baking}{time}\)

Number of brownies = \(\frac{4}{5}\) x 12  = \(\frac{48}{5}\)

 Average baking per hour = \(\frac{48}{\frac{5}{3} }\)  

                                            = \(\frac{48}{5} x \frac{1}{3}\)

                                             = \(\frac{16}{5}\)

                                            = 3\(\frac{1}{5}\)brownies per hour

#a

P and B are sides of square

#b

Apply cosines

Answer: D) 7 3/4

Step-by-step explanation:

With averages, we add all the values and divide by the number of values. Here, we know three out of the four days, let's label the day we don't know x. There are four days, so we can divide by four. 7 1/4 is the average, so we can set the equation equal to 7 1/4.

7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x) / 4

Let's multiply both sides by 4 to get rid of the fraction. Let's also add what is in the parentheses

29 = 21 1/4 + x

Now we can isolate x by subtracting 29-21 1/4

so

x = 7 3/4 thus the answer is D

Answer:

D) 7 3/4

Step-by-step explanation:

Let x = amount of last feeding.

7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x)/4

4 × 7 1/4 = 7 1/2 + 7 3/8 + 6 3/8 + x

28 + 1 = 7 4/8 + 7 3/8 + 6 3/8 + x

29 = 20 10/8 + x

(20 10/8 is the same as 20 + 10/8 = 20 + 8/8 + 2/8 = 20 + 1 + 1/4 = 21 + 1/4 = 21 1/4)

29 = 21 2/8 + x

29 = 21 1/4 + x

x = 29 - 21 1/4

x = 28 4/4 - 21 1/4

x = 7 3/4

Answer: 7 3/4

The sum of numbers 4 and - 9 is, - 5.

And, A weather station is a collection of instruments that measure atmospheric conditions to help study the weather and climate of a specific location.

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

The numbers are,

⇒ 4 and - 9

Now, Sum of the numbers 4 and - 9 as;

⇒ 4 + (-9)

⇒ 4 - 9

⇒ - 5

Thus, The sum of numbers 4 and - 9 is, - 5.

And,  A weather station is a collection of instruments that measure atmospheric conditions to help study the weather and climate of a specific location.

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The absolute value equation | x - 78 | = 24 represents the range of scores on the Algebra test. Any score x that satisfies this equation is within 24 percentage points of the average score of 78%.

An Algebra test is an assessment of a student's understanding and proficiency in solving mathematical equations and manipulating symbols. It typically covers topics such as linear equations, quadratic equations, functions, and graphing.

Let x be the score on the Algebra test. Since we know that the highest score is 102% and the lowest score is 54%, we can write the following absolute value equation:

| x - 78 | = 24

We get 78 by finding the average of the highest and lowest scores:

(102% + 54%) / 2 = 78%

Therefore, the absolute value equation | x - 78 | = 24 represents the range of scores on the Algebra test. Any score x that satisfies this equation is within 24 percentage points of the average score of 78%.

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Complete question:

On a recent Algebra test, the highest score was a 102% and the lowest score was a 54%. Write an absolute value equation that models this scenario.

If the Busy Bee store bottles fresh jars of honey at a constant rate and In 3 hours, it bottles 36 jars, and in 7 hours, it bottles 84 jars of honey, then the constant of  proportionality is 12

The Busy Bee store bottles fresh jar of honey at a constant rate.

That means number of bottle is directly proportional to the time taken

Number of bottle they bottles =  k × Time taken

Where k is the constant of proportionality

In 3 hours, it bottles 36 jar

36 = k ×3

k = 36/3

k = 12

In 7 hours, it bottles 84 jar

84 = k × 7

k = 84/7

k = 12

Hence, if the Busy Bee store bottles fresh jars of honey at a constant rate and In 3 hours, it bottles 36 jars, and in 7 hours, it bottles 84 jars of honey, then the constant of  proportionality is 12

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Answer:

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Substitute 12 and 24 for n into formula and calculate.

So, the 12th term is 63 and 24th term is 123.

Answer:

c. We have evidence that there is a difference in population median employee satisfaction rating before and after the commission change.

Step-by-step explanation:

Pvalue is less than the alpha-level:

If the pvalue is less than the alpha-level, we have that there is sufficient evidence of the hypothesis for the population mean/median/standard deviation we are testing.

In this question:

Pvalue less than the alpha-level, so there is evidence that there is a difference in the population median. This means that the correct answer is given by option C.

The correct conclusion is: c. We have evidence that there is a difference in population median employee satisfaction rating before and after the commission change.

The given parameters are:

\(\mathbf{p = 0.04}\) --- the p-value

\(\mathbf{\alpha = 0.05}\) --- the significance value or the alpha level

From the options, we understand that the test parameter is the population median

By comparison, the p-value (0.04) is less than the alpha level (0.05)

When the p-value is less than the alpha-level, then it means that there is enough evidence of the hypothesis for the population parameter that is being tested.

Since the p-value is less than the alpha level, then it means that there is enough evidence to show the difference in the population median.

Hence, option (c) is correct

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Answer:

0.3 repeating.

Step-by-step explanation:

2/9 ÷ 2/3

The equation of the line in slope-intercept form is y = (3/5)x + 2. This form allows us to easily identify the slope and y-intercept of the line and to graph it on a coordinate plane.

To write the equation of a line in slope-intercept form, we use the formula:y = mx + b

where:

- y represents the dependent variable (the vertical axis)

- x represents the independent variable (the horizontal axis)

- m represents the slope of the line

- b represents the y-intercept, the point where the line intersects the y-axis.

In this case, we are given the slope as 3/5 and the y-intercept as 2. Plugging these values into the formula, we get:

y = (3/5)x + 2

This equation represents a line with a slope of 3/5, indicating that for every 5 units we move horizontally (along the x-axis), the line moves 3 units vertically (along the y-axis). The y-intercept of 2 tells us that the line intersects the y-axis at the point (0, 2).

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The total area from the graph is 2.737.

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

First of all, lets calculate the points of intersection (P, Q, R)

x²+3=(x+2) +5

x²-2=√(x+2)

x⁴+4-4x²=x+2

x⁴-4x²-x+2=0

(x-2)(x³+2x²-1)=0

(x-2)(x+1)(x²+x-1)=0

x=2, -1, -1±√(1+4)/2

Clearly, the x-coordinate of Q is -1, P is -1-√5/2, R is -1+√5/2, S is 2

So the limit of integration will be

P( (-1-√5)/2, (-1-√5/2)² +3)=P((-1-√5)/2, (3+√5/2))

Q(-1, (-1)²+3)=Q(-1, 4)

Area A:

\(\int\limits^\frac{3+\sqrt{5} }{2} _4 {-\sqrt{-y-3}-((y-5)^2 -2)} \, dx\)

= \([\frac{-(y-3)^\frac{3}{2} }{\frac{3}{2} }-\frac{(y-5)^3}{3}+3y]^{\frac{3+\sqrt{5} }{2} }_4\)

= 2.07

Area B:

\(\int\limits^\frac{-1+\sqrt{5} }{2} _4 {-\sqrt{x+2}+5-(x^2+3)} \, dx\)

= \([\frac{-(x+2)^\frac{3}{2} }{\frac{3}{2} }+5x-\frac{x^3}{3}-3x]^{\frac{-1+\sqrt{5} }{2} }_{-1}\)

= 0.667

Total area = 2.07+0.667

= 2.737

Therefore, the total area from the graph is 2.737.

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The number of minutes to read is 6.25 pages and taking the test will be 5 minutes and 0.50 minutes, respectively.

The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

It takes you 0.8 of a minute to read each page of your health book. It takes you 5.5 minutes to take the test at the end.

The number of minutes to read 6.25 pages will be given as,

⇒ 6.25 x 0.8

⇒ 5 minutes

The number of minutes to take the test will be given as,

⇒ 5.5 - 5

⇒ 0.50 minute

⇒ 0.50 x 60

⇒ 30 seconds

The number of minutes to read is 6.25 pages and taking the test will be 5 minutes and 0.50 minutes, respectively.

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Answer:

nine

Step-by-step explanation:

we have that

The inequality that represent this situation is

Let

x -----> amount of cubic inches additional of water

so

The shape that we obtained will be a triangle. Then the correct option is E.

In terms of geometry, a pyramid is a polygon that is created by joining an apex and a polygonal base. A triangle known as a lateral face is formed by each base edge and apex. It has a polygonal basis and is a conic solid. There are n + 1 points, n + 1 sides, and 2n edges in a pyramid with an n-sided base. Every pyramid is dual in itself.

If the base of the pyramid is a rectangle then the pyramid is known as a rectangular pyramid.

If the pyramid is separated by slicing a rectangular pyramid perpendicular to its base. Then the shape that we obtained will be a triangle.

Then the correct option is E.

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Answer:

1. D

2. AE (with a line above the 2 letters)

3. AC (with an arrowpointing to the right above the 2 letters)

4. B, A, and C

Answer:

68%

Step-by-step explanation:

We start by calculating the z-scores of both

z-score = (x-mean)/SD

for 2.21

z-score = (2.21-2.61)/0.4 = -1

For 3.01

z-score = (3.01-2.61)/0.4 = 0.4/0.4 = 1

So what we want to find is the percentage between -1 SD and 1 SD of the mean

This is the percentage corresponding to the probability

P(-1 < x < 1)

According to the empirical rule, this is a value of;

68.269%

Answer:

y = 2x + 3

Step-by-step explanation:

Points (6,3) are x,y coordinates.

Use slope intercept form: y = mx + b

b = y intercept

m = slope

The equation that has a slope of 2 and passes through (6, 3) will be y = 2x - 9.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The slope of the equation is 2. Then the equation is given as,

y = 2x + c

The line is passing through (6, 3), then we have

3 = 2(6) + c

3 = 12 + c

c = 3 - 12

c = - 9

The equation will be given as,

y = 2x - 9

The equation that has a slope of 2 and passes through (6, 3) will be y = 2x - 9.

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Answer:

The price that maximizes profits is $230 per good

The maximum profits earned at the above set price is $2,180,000

Step-by-step explanation:

Determine the profit function

\(Q=70000-200P\\Q+200P=70000\\200P=70000-Q\\P=350-\frac{1}{200}Q\)

Find the total revenue function

\(TR=P*Q\\TR=(350-0.005Q)*Q\\TR=350Q-0.005Q^2\)

Find the total profit function

\(TP=TR-TC\\TP=(350Q-0.005Q^2)-(110Q+700000)\\TP=240Q-0.005Q^2-700000\)

Determine the profit-maximizing quantity of output

\(\frac{d(PT)}{dQ}=240-0.01Q\)

\(0=240-0.01Q\)

\(-240=-0.01Q\)

\(24000=Q\)

Determine the profit-maximizing price

\(P=350-0.005Q\\P=350-0.005(24000)\\P=350-120\\P=230\)

(Optional) Determine the total profit

\(TP=240Q-0.005Q^2-700000\\TP=240(24000)-0.005(24000)^2-700000\\TP=2180000\)

This means that the firm makes its maximum profit of $2,180,000 when the price per good is set to $230.

The measure of the minor arc m∡rv = 111°

Recall that according to the principle of angle of intersecting secants, (a-b)/2 = c

Where a = ∡RV
b = ∡SU = 37°:

and c = ∠T (the angle between intersecting secants.

Thus, if (a-b)/2 = c, and b = c = 37 degrees, then we can substitute these values into the equation to get:

(a - 37) / 2 = 37

Multiplying both sides by 2 gives:

a - 37 = 74

Adding 37 to both sides gives:

a = 111

Therefore, a is equal to  m∡rv = 111°.

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Answer:

given;

previous year price of gas= $4.35

price of gas has been increased by 30%

now,price of gas in present year=?

we have;

price of gas in present year=priceof

previous year+30%of price of previous year.

so ,price of gas in present year=4.35+30%of4.35

=$4.35+30/100×4.35

=$4.35+1.305

= $5.655. ans....

therefore, the price of gas in present year is ;$5.655.

Answer:

13in :)

Step-by-step explanation:

KJASJDAJK its oki! The formula for the area of a square is Side x Side= Area, meaning you can just square root the area (since its a square all sides should be the same length) sqrt of 169 would give you 13!