D The point-slope form of the equation of a straight line is y + 3 = −2/7 (x − 5) . What is the general form of the equation?
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If the brain volumes (cm³) of 20 brains have a mean of 1085.2 cm³ and a standard deviation of 125.6 cm³. For such data: it is significantly low for a brain because 1386.4 cm³ is less than the upper limit.

Mean = 1085.2 cm³

Standard deviation = 125.6 cm³

Hence,

Lower limit = Mean - 2 x Standard deviation

Lower limit  =1085.2 - 2 x 125.6

Lower limit =1161.2 - 251.2

Lower limit  =910

Upper Limit = Mean + 2 x Standard deviation

Upper Limit = 1161.2 +  2 x 125.6

Upper Limit =1161.2 +251.2

Upper Limit =1412.4

The limit of values is from 910 to 1412.4.

A value below 910 will be is considered low and a value above 1412.4  will be considered high

Therefore 1386.4 cm³ is less than the upper limit. Thus it is significantly low for a brain.

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The measure of side KL from triangle KLM is 22 units.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

Given that, triangle HIJ is similar to triangle KLM.

From the similar triangles,

JH/MK =HI/KL

31/13.9 =49/KL

31KL=49×13.9

31KL=681.1

KL=681.1/31

KL=21.97

KL≈22

Therefore, the measure of side KL is 22 units.

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Answer:

Step-by-step explanation:

It is impossible to accurately estimate the size of the crowd without knowing how many people are standing in each foot of space. However, if we assume that 16 people fit in a 9 ft x 8 ft area, then we can estimate the size of the crowd in a 2-mile section of the parade route that is 5 feet deep on both sides of the street.

Assuming a 5-foot deep crowd on both sides of the parade route, we can estimate that there would be 40 feet of crowd on one side of the parade route and 40 feet of crowd on the other side of the parade route. This means that there would be a total of 80 feet of crowd across the 2-mile parade route.

Using the assumption that 16 people fit in a 9 ft x 8 ft area, we can estimate that there would be 1280 people across the 2-mile parade route (80 feet x 16 people). This is a rough estimate, as it does not account for the gaps between people, which would likely reduce the total number of people in the parade route.

The average rate of change of g(x) =5x^3+4/x^2 on the interval [-1,2] is -2

A function can be defined as a law, rule or expression explaining the relationship between two variables.

These variables are called;

From the information given, we have the function;

g(x) =5x^3+4/x^2

For the interval, {1, -2}

Let's substitute the value of x as 1

g(1) = 5(1)³ + 4/(1)²

find the values

g(1) = 5 + 4/1

g(1) = 9/1 = 9

For x = -2

g(-2) = 5(-2)³ + 4/(-2)²

find the values and substitute

g(-2) =5(-8) + 4/ -8

g(-2) = -40 + 4/-8

add the numerators

g(-2) = -36/8

divide the values

g(-2) = -9/2

The average change = 9 ÷ -9/2 = 9 × 2/-9 = -2

Hence, the value is -2

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Answer:

60% of the total calories is from fat

Step-by-step explanation:

We already have our first value 180 and the second value 108. Let's assume the unknown value is Y which answer we will find out.

As we have all the required values we need, Now we can put them in a simple mathematical formula as below:

STEP 1Y =

108

180

By multiplying both numerator and denominator by 100 we will get:

STEP 2Y =

108

180

×

100

100

=

60

100

STEP 3Y = 60

Answer:

108

Step-by-step explanation:

average of first two multiples = 28

sum of first two multiples = 28 * 2 = 56

average of last two multiples = 44

sum of last two multiples = 44 * 2 = 88

average of all four multiples = ( 56 + 88 ) / 4 = 36

value of greater multiple = (88 + 56) - 36 = 108

To maximize the volume we need to cut squares with a side length of 20cm.

Suppose that the length of the sides of the squares that we cut is X, that will be the height of the box, then its volume will be:

V = (60 - X)*(60 - X)*X

Now we just need to maximize that cubic equation.

V = X*( X^2 - 120*X + 3600)

V = X^3 - 120X^2 + 3600X

To maximize this we need to differentiate it and find the value of X that makes it equal to zero, we will get:

V' = 3*X^2 - 2*120*X + 3600

V' = 3*X^2 - 240*X + 3600

Now we make this equal to zero:

3*X^2 - 240*X + 3600 = 0

The solutions are given by the quadratic formula:

[tex]X = \frac{240 \pm \sqrt{240^2 - 4*3600*3} }{2*3} \\\\\\X = \frac{240 \pm 120 }{6}[/tex]

We will take the smaller solution:

X = (240 - 120)/6  = 20

Because the other solution makes the volume equal to zero.

This means that we need to cut squares with a side length of 20 cm.

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Answer:

Mean: [tex]14 \frac{11}{207}[/tex]

Median: 14.5

Mode: 6, 13, and 15

Step-by-step explanation:

We will start by arranging these numbers from smallest to greatest to get the median and mode:

6, 6, 11, 12, 13, 13, 14, 15, 15, 17, 19, 20, 22, 24

To get the mode, we will look. There are two 6, 13, and 15. So those three are our modes. Then, since there are 14 numbers, we will split the list in half and find the average of the two most inward numbers. We get:

6, 6, 11, 12, 13, 13, 14     15, 15, 17, 19, 20, 22, 24

Our two most inward numbers are 14 and 15, so we add the two together and then divide by 2, giving us:

14 + 15 = 29/2 = 14.5

So our median is 14.5.

Finally, we will add up all the numbers together, then divide by 14 to get our mean. We get:

6 + 6 + 11 + 12 + 13 + 13 + 14 + 15 + 15 + 17 + 19 + 20 + 22 + 24 = 207

Then we divide by 14:

[tex]\frac{207}{14} = 14 \frac{11}{207}[/tex]

So, our median is [tex]14 \frac{11}{207}[/tex].

Hope this helped!

The answer to this question is 0.583

Answer:

To find out how many weeks it will take for the pea aphid population to reach 9,600 individuals, we need to determine how many times the population needs to double to reach that number.

We can use logarithms to find this out. Using the rule log(A) / log(B) = log(A) to base B, we can calculate the number of times the population needs to double.

log(9600) / log(2) = log(9600) to base 2 = 9.98

So the population needs to double 9.98 times.

Since the population doubles every week, it will take 9.98 weeks for the population to reach 9,600 individuals.

Vote Branliest!

Answer: 5 weeks

Step-by-step explanation: Based on the information given, let's conduct an equation. It'd look something like this:

300 * [tex]2^{x}[/tex] = 9600

Now, we need to "reduce" the greatest common factors on both sides of the equation. This is so we can find the value of "x" It should look like this:

[tex]2^{x}[/tex] = 32

Now, we need to covert both sides to have the same base, which should look like this:

[tex]2^{x} = 2^{5}[/tex]

Based on the information given, we now know that x = 5, making it have a constant rate of 5 weeks to reach 9,600 individuals. I hope this helped!

Answer:

the building is approximately 28.3 feet tall, accurate to the nearest tenth of a foot.

Step-by-step explanation:

The height of the building can be found using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In this case, the building is the hypotenuse, and the base of the ladder and the top of the ladder form the other two sides.

The height of the building can be found using the following formula:

h = √(32^2 - 15^2)

h = √(1024 - 225)

h = √(799)

h ≈ 28.3 ft

Answer:

Step-by-step explanation:

The number of tickets that Sam can buy, given the amount he has to spend and the price of admission, is 36 tickets.

The rate of change is $ 0.75 per attraction.

The table on the number of tickets and total cost is:

Number of tickets                 1                        5                 10               15

Total cost                          $ 10. 75             $ 13.75       $17.50        $ 21. 25

The number of tickets that Sam can buy when he has $ 37 is:

= (Amount to spend - Cost of admission ) / Cost per ticket

= ( 37 - 10 ) / 0.75

= 36 tickets

The rate of change is therefore the $ 0.75 charged per ticket per event.

The number of tickets for $ 10. 75 is:

= ( Total cost - Cost of admission ) / cost per ticket

= ( 10. 75 - 10 ) / 0.75

= 1 ticket

The cost of 5 tickets :

= ( Number of tickets x cost per ticket) + cost of admission

= (5 x 0. 75 ) + 10

= $ 13. 75

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Answer:

improper fraction

Step-by-step explanation:

A mixed number has a whole number and a fraction.

An improper fraction is a fraction with a numerator bigger than the denominator.

Since 17 > 4 and there is no whole number,  this is an improper fraction.

It can be changed to a mixed number by dividing the numerator by the denominator

17 ÷4 = 4 and there is a remainder of 1.  The remainder goes over the denominator

4  1/4

Answer: It's an improper fraction

Step-by-step explanation: It's an improper fraction because an improper fraction is a fraction where the numerator is greater than the denominator, whereas a proper fraction is the opposite. A mixed number is when there is a whole number and then a regular (proper) fraction beside it. Here's an example:

[tex]5\frac{1}{7}[/tex]

Since 17 is greater than 4, 17/4 is an improper fraction. Now, if you wanted to find 17/4 as a fraction, you would divide the 17 by the 4, so the  whole number (4 in this case) would be the whole number, and the faction would be 1/4

So, [tex]\frac{17}{4}[/tex]= [tex]4\frac{1}{4}[/tex]

To check, you can multiply the 4 by the 4, which is 16, and add the numerator (1) to it, which would be 17/4. I hope this helps.

Answer:

The equation that this graph corresponds to is y -3/4x + 8

Step-by-step explanation:

The answer choice you chose is correct.

A coefficient is a number that is multiplied by a function or an expression.

A coefficient is a multiplier to a function or an expression.

For example, in a polynomial function, the coefficients are the terms that multiply the powers of x.

Taking the standard quadratic function as follows:

y = ax² + bx + c.

The coefficients are a, b and c.

Considering this concept, the blanks are completed on the answer at the beginning.

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Answer:

total probability (1,1),(1,2),(1,3)(1,4) (1,5)(1,6)

 (2,1) (2,2) (2,3) (2,4) (2,5)(2,6)

(3,1)(3,2)3,3 3,4) (3,5) (3,6)

(4,1) (4,2)(4,3)(4,4)(4,5)(4,6)

(5,1)(5,2)(5,3)(5,4)(5,5)(5,6)

(6,1)(6,2)(6,3)(6,4)(6,5)(6,6)

3/36=1/12

Step-by-step explanation:

The number of different sequences of tosses could there have been, if the number of tosses was even 1/2

You should understand that the tosses involves a sequence which is an array of numbers in a particular order

The question reads thus How many different sequences of tosses could there have been, if the number of tosses was even.

Number of tosses = 12

The tosses are 1,2,3,4,5,6,7,8,9,10,11,12 = 12 Times

The even numbers are

2,4,6,8,10,12 = 6 times

The Probability of the toss is 6/12

Therefore the number of tosses equals 1/2

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Answer:

Step-by-step explanation:

Answer:

0.5 is the answer

Step-by-step explanation:

2 clearly cannot be divided by 4

So what we have to do is put a 0 over the 2 and a decimal in the place after the 2 and bring down a 0 making it 20÷4=5

Don't forget the decimal point that was necessary to create the 20

That makes the answer 0.5

The value of x in the triangles are 9.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

The triangles are congruent.

That means, their corresponding angles are also congruent.

In ΔJKL,

the sum of all the angles of the triangle is 180°.

So,

x²-2x + x + 29 + 3x + 52 = 180

x² + 2x - 99 = 0

Solving the quadratic equation,

x² +11x - 9x - 99 = 0.

x (x + 11) -9 (x + 11) = 0

x = 9 and x = -11

Here, we take x = 9.

Therefore, the value of x is 9.

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There are 36 fluid ounces in 4.5 cups

Keisha reads a label on a measuring cup

The reading shows that 16 fluid ounces is the same as two cups

Therefore the number of fluid ounces in 4.5 cups can be calculated as follows

16/2

= 8

8 × 4.5

= 36

Hence there are 36 fluid ounces in 4.5 cups

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The value of x is 6

2/5 = 6/21-x

Cross multiply both sides

2(21-x)= 30

42-2x= 30

collect the like terms

-2x= 30-42

-2x= -12

Divide both sides by the coefficient of x which is 2

2x/2 = 12/2

x= 6

Hence the value of x is 6

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The graphs of the functions f(x) and g(x) are attached with the answer.

       [tex]${\displaystyle G=\{(x,f(x))\mid x\in X\}.}[/tex]

Given are the functions f(x) and g(x).

The given functions are -

f(x) = [tex]$100(\frac{3}{5})^{x}[/tex]

g(x) = [tex]$100(\frac{2}{5})^{x}[/tex]

Refer to the graphs of the function f(x) and g(x).

Therefore, the graphs of the functions f(x) and g(x) are attached with the answer.

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The solution set for the given graph is a null set or empty set.

Sets, in mathematics, are an organized collection of objects and can be represented in set-builder form or roster form.

Given is a graph of parallel lines, as we know in the system of linear equations, equations having parallel lines yields no solutions, therefore, for this also, there is no solution,

Therefore, the set will be null set or empty set.

Hence, the solution set for the given graph is a null set or empty set.

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Answer:

D

Step-by-step explanation:

Using the given conditions in the question,the probability that the first gift chosen is gift #3 and the second is gift #9 is (1/10) * (1/9) = 1/90.

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, with 0 indicating that an event is impossible and 1 indicating that an event is certain. Events with a probability of 0.5 or greater are considered likely, while those with a probability less than 0.5 are considered unlikely. The probability of all possible events in a given situation must add up to 1. In mathematical terms, probability is the ratio of the number of favorable outcomes to the total number of possible outcomes.

The chance of something happening can be measured by probability. It's a number between 0 and 1, where 0 means it's impossible for the event to happen and 1 means it's certain to happen. The closer the number is to 1, the more likely the event is to happen.

The probability that the first gift chosen is gift #3 and the second is gift #9 is (1/10) * (1/9) = 1/90. This is because the probability of choosing any specific gift on the first turn is 1/10, and the probability of choosing any specific gift on the second turn, given that there are now 9 gifts left in the pile, is 1/9. Multiplying these probabilities together gives the overall probability of the first gift being #3 and the second gift being #9.

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