Determine the measure

Answer:

Follow these steps for find x

Using proportions, we find that the hedgehog loses 3.45 ounces after 115 days of hibernation.

Here, we are given a table shows the proportional relationship between a​ hedgehog's weight loss and the number of days of hibernation

A proportional relationship is mathematically represented as-

y = kx

where k is the constant of proportionality.

Here x = days in hibernation and y = loss in weight

From the table we see that when x = 8, y = 0.24

⇒ 0.24 = 8k

8k = 0.24

k = 0.24/ 8

k = 24/ 800

k = 3/100

k = 0.03

Now, when x = 115, y will be-

y = 0.03*115

y = 3.45

Thus, using proportions, we have found that the hedgehog loses 3.45 ounces after 115 days of hibernation.

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The table shows the proportional relationship between a​ hedgehog's weight loss and the number of days of hibernation. How much weight does the hedgehog lose during 115 days of​ hibernation? Use pencil and paper. Explain how you know that the relationship between the​ hedgehog's weight loss and the number of days of hibernation is proportional.

Weight Loss of Hedgehog

Days of Hibernation    8        28      75      93

Loss in Weight​ (oz)    0.24   0.84   2.25   2.79

Given f(x) and g(x) = f(x) + k, from the graph, we can determine the value of k as 4 units.

In the question,

Given f(x) and g(x) = f(x) + k

From the graph, we can say that there is a shift of 4 units up between f(x) and g(x).

The given lines are parallel lines, so their slopes will be the equal but intercepts will be different for both the lines.

The y-intercept of f(x) = -3 and that of g(x) = 1

Hence, the difference between the intercepts when calculated is (1 -(-3))  = 4.

Therefore, g(x) = f(x) + 4

So, the value of k is 4.

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The probability of students who took the sat scored less than 350 on the math section is 0.0643

The following can be deduced:

Population Mean,μ = 528

Population Standard Deviation,σ = 117

X follows a normal distribution

I.e X ~ N ( μ = 528 ,σ = 117 )

The formula for z score is:

z = (x - μ) / σ

Subtract the mean and then divide by the standard deviation to turn x into a standard Normal z

X ≤ 350

(x-528)/117 ≤ (350-528)/117

z ≤ -1.52

Now, by using a standard normal distribution table

The area left of -1.52 = 0.0643

Therefore, the required probability is 0.0643.

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If b=3, then 3^-2=1/9, and 3^4=81. 1/9÷81= 1/729, which is 3^-6.

You can use any other example you want (I would recommend a calculator)

The ratio of red marbles to black marbles is 9:4, this implies:

By cross-multiplying and solving for x, we have:

Thus, the number of red marbles is 64+80=144 and the number of black marbles is 64.

Hence, the total number of marbles in the bag is:

Answer: 24

Step-by-step explanation:

Factors of 96:  1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60 , 120

Highest number between the two sets of factors which is common is 24

Answer: 3x+14

Step-by-step explanation:

Evaluate 4.2x+3−1.2x+11

Subtract the terms 3x+3+11

Solution 3x+14

ANSWER: y - 0 = 7/2(x - 6)

STEP-BY-STEP EXPLANATION:

The formula for point-slope form is y - y1 = m(x - x1).

From the two points given, y1 is 0 while x1 is 6.

m in the formula is the slope, so it needs to be found:

(y2 - y1)/(x2 - x1)

(7 - 0)/(8 - 6)

7/2

Answer:

Remember, when you are calculating the slope from two given points, you are finding the change in y over the change in x.

P1   =  ( x1,  y1 )

P2   =  ( x2,  y2 )

m = Δy  / Δx   --->      m = (y2 - y1) / (x2 - x1)

Now let's assign the given points:

(-8, -6)  -->   x1 = - 8   &   y1 = -6

(-4, 2)   -->    x2 = -4    &   y2 = 2

Now, let's plug these values into the slope formula:

m = (y2 - y1) / (x2 - x1)

= (2 - (-6)) / ((-4) - (-8))

Let's simplify:

(2 - (-6)) / ((-4) - (-8))

= (8) / (4)

= 2

Therefore, the slope, or m, is 2.

Now that we have found the slope, let's write out the final equation in point-slope form.

What is required for the equation is a slope, and any pair of points on the line. Since we were given two to choose from, I will use (-4, 2) in this case.

Remember, the point-slope formula is:  y - y1 = m (x - x1)

In terms of this formula:

m  =   2

y1  =   2  

x1  =  -4

Let's plug in these values into the point slope formula and simplify:

y - y1 = m (x - x1)

y - (2)  =  (2)(x - (-4))

y - 2  =  2(x + 4)

y - 2  = 2x + 8

y = 2x + 10

Therefore, our final answer is: y = 2x + 1

Step-by-step explanation:

i gat that from https://www.wyzant.com/resources/answers

Answer:

This relation is NOT a function

Step-by-step explanation:

As you see in the attached image, the x value of 1 has 2 different points assigned to it. This relation would fail the vertical line test, therefore it is not a function.

Key words:
Relation: Any graph

Function: A relation that has 1 y value for every x value

Vertical line test: An imaginary line drawn on a relation/function to test if it is a function. (in some cases, like this relation, you will see right away from the placement of the points that it is not a function)

Hope that helps

Answer:

what is the slope and the rest of them

the slope intercept form would be y=mx+b so you would need to help me help you. I just need to know a little information about this. Try sending me a picture of your problem or something so that I can help you!

Answer:

The cost of materials is $32.

Step-by-step explanation:

You can solve this in a simple manner:

115 = 2.5m + 35

115-35 = 2.5m

80 = 2.5m

m = 32

You can check your answer by putting 32 back into the equation(P=2.5m+35) and you should get 115(which is price of bracelet)

To calculate the area of a triangle, we use the formula :

1/2bh, where b = base ; h = height.
-> Area of triangle = 1/2 x 25 x 10 = 125cm2

Answer:

D

Step-by-step explanation:

Area of triangle is 1/2×bh so

After calculating the given fractions, we have to find that Maggie is left $500 and therefore she saved $500.

Mathematically, a fraction is represented as a numerical value that identifies a portion of a whole. A fraction is a portion or section of any amount that makes up a whole, where a whole can be any number, a certain amount, or an object.

Use this example to help us understand this idea. Pizza is divided into 8 equal pieces in the following illustration. Now, if we want to express one particular piece of the pizza, we can do so by using the notation 1/8, which indicates that we are speaking of one piece out of a total of 8 equally sized pieces.

It means one in eight equally sized portions. It can also be read as follows:

1/8th, or 1 by 8

Given that Maggie has $960

She spends 1/4 of the money on a mountain bike that gives

⇒ 960 - (960 × 1/4)

⇒ 960 - 240

= $720

And the she uses 1/6 of the remainder on bicycle clothing and accessories that gives

⇒ 720 - (720 × 1/6)

⇒ 720 -  120

= $500

Thus, she is left $500 dollar and therefore she saved $500.

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The indicated probability of  the normal distribution is 0.9332

The natural and social sciences frequently utilize normal distributions to describe real-valued random variables which distributions are unknown, which is why normal distributions are essential in statistics.

In the given normal distribution:

mean = 8 and standard deviation = 2

The indicated probability is given by P(7 ≤ x ≤ 11)

The z score of the distribution is given by

Z = ( 11 - 8 ) ÷ 2 = 1.5

From the z-score we can calculate the probability :

P(7 ≤ x ≤ 11) = 0.9332

Therefore the indicated probability is 0.9332

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Answer: 6x+3

Step-by-step explanation:

1. First calculate the variables : x+5x=6x

2.add the number(s)= 6x+3

=6x+3

The rigid transformations of translation and reflection of the pentagon ABCDE to obtain A'B'C'D'E' gives;

First part;

[tex]AB \cong A'B'[/tex] True

[tex]\angle D \cong \angle D'[/tex] True

[tex] \overline{D'E'} \cong \overline{DE}[/tex] True

[tex] ABCDE \cong A'B'C'D'E'[/tex] True

Second part;

Their perimeters are equal; True

The area of the image is greater; False

They are congruent; True

Their orientations are the same; False

A rigid transformation is an Euclidean space one in which the distances between corresponding points on the figure and the image are preserved.

The vertices of the pentagonal figure are; A(-3, 4), B(0, 5), C(1, 4), D(1, 2,), and E(-2, 1)

The transformation are;

Translation transformation

Vertical translation transformation 2 units downwards

Horizontal translation of 5 units to the right

The coordinates of the vertices of the pentagon following the transformations are;

A(-3, 4) → (-3 + 5 + 4 - 2) → (2, 2)

B(0, 5) → (0 + 5 + 5 - 2) → (5, 3)

C(1, 4) → (1 + 5 + 4 - 2) → (6, 2)

D(1, 2) → (1 + 5 + 2 - 2) → (6 0)

E(-2, 1) → (-2 + 5 + 1 - 2) → (3 -1)

Reflection;

A reflection in the y–axis, which gives;

(2, 2) Reflection in y–axis gives A'(-2, 2)

(5, 3) Reflection in y–axis gives B'(-5, 3)

Similarly, we have;

(6, 2) → C'(-6, 2)

(6 0) → D'(-6, 0)

(3, -1) → E'(-3, -1)

AB = √((0-(-3))² + (5 - 4)²) = √(10)

A'B' = √(((-5)-(-2))² + (3 - 2)²) = √(10)

Therefore;

[tex]AB \cong A'B'[/tex]

Similarly, given that the specified transformations of translation and reflection are rigid transformations, we have;

[tex]\angle D \cong \angle D'[/tex]

[tex] \overline{DE} \cong \overline{D'E'}[/tex]

[tex] ABCDE \cong A'B'C'D'E'[/tex]

Second part;

Given that the transformation are rigid transformations, we have that the perimeter of the figure and the image have the following statements that are true

Their perimeter are equal

The areas of the image and figure are the same

They are congruent

The orientation are different following the reflection which reverses the order of the appearance of the vertices relative to the y–axis

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Divide [tex]\frac{p^{3} - 13p +12 }{p +4}[/tex] by p+4  is [tex]p^{2} -4p +3\\[/tex]

One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things. It is a mathematical operation used for equal distribution and equal grouping. An equation that establishes a connection between all four components of the division is known as the division algorithm. The dividend value is always equal to the product of the divisor and the quotient added to the remainder in any division fact. Dividend = (Divisor Quotient) + Remainder is the general formula for division. The algorithm for division is used in this.

=[tex]\frac{p^{3} - 13p +12 }{p +4}[/tex]

= [tex]p^{2} -4p +3\\[/tex]

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The two equivalent expressions for the given situation are 'g = 5g' and 'g - 5g = 0'.

So, the expressions will be:

Then, let time be 'g':

Therefore, the two equivalent expressions for the given situation are 'g = 5g' and 'g - 5g = 0'.

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Answer:

(5/2), 6, (3/4)?, and (20/3)

Step-by-step explanation:

See attached image.

Possible answer:

y = 2x + 60

Step-by-step explanation:

First, we will have to find the slope for the line that passes through those points, because parallel lines have the same slope but different y-intercepts. We only need the slope.

Let's use the formula for finding the slope from two points: [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]. My work is shown below:

[tex]\frac{9-1}{2-(-2)} \\\frac{8}{4} \\2[/tex]

The slope is 2, so this will be the slope for our parallel line. Parallel lines can have any y-intercepts, so let's just pick a random one - 60 (yours doesn't have to be this, I just picked one at random). So, one example of an answer to this question would be y = 2x + 60.

We are 95% certain that 12 to 28% of the young women in your neighborhood have at least one of the most prevalent STDS.

This is further explained below.

Generally, Given that the parameters are

n=100

P=0.20

at [tex]\alpha=0.05\left(0 .5 \quad \tau_{\alpha / 2}=1.96\right.[/tex]

95% C. I

The equation for the confidence interval is

[tex]P \pm z \sqrt{\frac{p(1-p)}{n}}[/tex]

Where

n=sample size

P=sample proportion

Hence solve for the confidence interval

0.20[tex]\pm[/tex] 1.96 [tex]\sqrt{\frac{0.20(1-0.20)}{100}}[/tex]

0.20 [tex]\pm[/tex] 0.0784

[tex](0.1216,0.2784)[/tex]

(12%, 28%)

Interpretation: We have a 95% confidence that between 12 and 28 percent of the young women in your area are infected with at least one of the most frequent STDs.

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Answer: 15

Step-by-step explanation:
We can do 57/4 to get 14 with a remainder of 1
Because we want all the kids to get to the park they will need to get another car to carry the last kid.

Answer: 1.176 pounds of sugar per dollar.

Step-by-step explanation:

3 / 2.55 = 1.1764705

Answer:

Step-by-step explFirst, convert each mixed number into an improper fraction:

2

5

12

=

−

3

1

4

+

k

2

+

5

12

=

−

(

3

+

1

4

)

+

k

(

12

12

×

2

)

+

5

12

=

−

(

[

4

4

×

3

]

+

1

4

)

+

k

24

12

+

5

12

=

−

(

12

4

+

1

4

)

+

k

29

12

=

−

13

4

+

k

Next, add

13

4

to each side of the equation to isolate

k

while keeping the equation balanced:

13

4

+

29

12

=

13

4

−

13

4

+

k

13

4

+

29

12

=

0

+

k

13

4

+

29

12

=

k

Then, we need to put

13

4

over a common denominator so we can add the two fractions by multiplying it by an appropriate form of

1

:

(

3

3

×

13

4

)

+

29

12

=

k

39

12

+

29

12

=

k

68

12

=

k

Now, if necessary we can convert the improper fraction back into a mixed number:

60

12

+

8

12

=

k

5

+

4

×

2

4

×

3

=

k

5

+

4

×

2

4

×

3

=

k

5

+

2

3

=

k

5

2

3

=

k

k

=

5

2

3

1. In a situation when a heat capacity is negative, it should instead be set to zero since it is not possible for an object to not be able to have internal energy.

2. A negative value mean that an object is continuously releasing or creating energy which violates the Law of Conservation of Energy.

An experiment is a technique that is carried out to support or deny a hypothesis, or to test the efficacy or likelihood of something that has never been tried before. Experiments shed light on cause-and-effect relationships by revealing what happens when a certain element is changed.

When a system loses energy, such as through radiating energy into space, the average kinetic energy increases. If temperature is defined by average kinetic energy, the system is said to have a negative heat capacity.

Heat transfer into a system is positive, whereas heat transfer out of a system is negative. It means that any heat transfer that raises a system's energy is positive, whereas any heat transfer that decreases a system's energy is negative.

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Answer:

Step-by-step explanation:

I believe it should be 7, but 21 is out of the question. And 14 seems it would be too much,

Answer: The answer would be D. 20  Because u plug 3 in for x so F(x)= 9+9+2

Step-by-step explanation: