ITS SCIENCE BUT I HAVE TO GET THIS DONE how can it help when one type of food decrease and the other increases

Answers

Answer 1

Answer:

What are the benefits of completely changing the food?

Adopting new, healthier habits may protect you from serious health problems like obesity and diabetes. New habits, like healthy eating and regular physical activity, may also help you manage your weight and have more energy. After a while, if you stick with these changes, they may become part of your daily routine.

Step-by-step explanation:


Related Questions

what is the correct choice for the second set for the dynamic resistance training method pyramiding if in the first set, the client lifts a weight for 10 to 12 repetitions of their 12-rm?

Answers

The correct choice for the second set in the pyramiding method of dynamic resistance training would typically be a weight that allows the client to perform fewer repetitions than in the first set, typically around 6 to 8 repetitions of their 12-RM weight.

In the pyramiding method, the goal is to gradually increase the weight lifted while decreasing the number of repetitions. This helps to progressively overload the muscles and stimulate strength gains. Starting with a weight that allows the client to perform 10 to 12 repetitions of their 12-RM weight in the first set ensures that they are working at an appropriate intensity to promote muscle adaptation.

For the second set, the weight should be increased to a level that challenges the client's muscles further. By reducing the number of repetitions to 6 to 8, the load becomes more challenging, leading to greater muscle recruitment and strength development. This gradual increase in intensity and decrease in repetitions can help to maximize the benefits of the training session.

It's important to note that the specific recommendations for sets, repetitions, and weights may vary depending on the individual's fitness level, goals, and training program. Working with a qualified fitness professional can help ensure that the pyramiding method is tailored to the client's needs and abilities for safe and effective training.

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Please help, due tomorrow. will give brainlist if correct.

Given f(x)= 2x^3+7x+k and x+1 is a factor of f(x), then what is the value of k?

Answers

Answer:

k=9

Step-by-step explanation:

to understand thisyou need to know about:factor theoremfunctionPEMDAStips and formulas: When f(c)=0 then x−c is a factor of f(x)let's solve:

according to the question

\(2( - 1)^3+7( - 1)+k = 0\)

\(2. - 1 - 7 + k = 0\)

\( - 2 - 7 + k = 0\)

\( - 9 + k = 0\)

\(k = 9\)

A) an Angle measures 42° what is the measure of the supplement?B) an Angle measures 61°what is the measure of its complement?

Answers

Two angles are supplementary if the sum of their measures is equal to 180°. In part A we are told that an angle measures 42° and we have to find its supplement. Using what I stated before, the measure of the supplement (x) plus 42° must be equal to 180°:

\(180^{\circ}=42^{\circ}+x\)

We can substract 42° from both sides:

\(\begin{gathered} 180^{\circ}-42^{\circ}=42^{\circ}+x-42^{\circ} \\ 138^{\circ}=x \end{gathered}\)

So the answer to part A is 138°.

Two angles are complementary if the sum of their measures is equal to 90°. In part B we have to find the measure of the complement (y) of 61°. Following the definition of complementary angles the sum of y and 61° is equal to 90° then:

\(y+61^{\circ}=90^{\circ}\)

We can substract 61° from both sides:

\(\begin{gathered} y+61^{\circ}-61^{\circ}=90^{\circ}-61^{\circ} \\ y=29^{\circ} \end{gathered}\)

Then the answer to part B is 29°.

20 The second term of a geometric sequence is 14.5 and the fifth
term is 1.8125
a Determine the common ratio,
b Find the value of the first term.
€ Find the sum of the first 5 terms,

Answers

Answer:

a. The common ratio is 0.5

b) The value of the first term is 29

c) The sum of the first 5 terms is 56.1875

Step-by-step explanation:

The nth term of the geometric sequence is a\(_{n}\) = a\(r^{n-1}\), where

a is the 1st termr is the common ratio

The sum of the nth term is S\(_{n}\) = \(\frac{a(1-r^{n})}{1-r}\)

The second term of a geometric sequence is 14.5

∴ n = 2

∴ a\(_{2}\) = 14.5

a\(_{2}\) = ar

→ Equate the right sides of a\(_{2}\) by 14.5

ar = 14.5 ⇒ (1)

The fifth term is 1.8125

∴ n = 5

∴ a\(_{5}\) = 1.8125

a\(_{5}\) = a\(r^{4}\)

→ Equate the right sides of a\(_{5}\) by 14.5

a\(r^{4}\) = 1.8125 ⇒ (2)

→ Divide equation (2) by equation (1)

∵ \(\frac{ar^{4}}{ar}\) = \(\frac{1.8125}{14.5}\)

∴ r³ = 0.125

→ Take ∛ for both sides

r = 0.5

a. The common ratio is 0.5

→ Substitute the value of r in equation (1) to find a

a(0.5) = 14.5

∴ 0.5a = 14.5

→ Divide both sides by 0.5

a = 29

b) The value of the first term is 29

n = 5

∴ S\(_{5}\) = \(\frac{29[1-[0.5]^{5})}{1-0.5}\)

S\(_{5}\) = 56.1875

c) The sum of the first 5 terms is 56.1875

The volume of the triangular pyramid below is 256 units 3 . Find the value of x.

Answers

Answer:

Step-by-step explanation:

We can use the formula for the volume of a pyramid, which is:

V = (1/3) * B * h

where V is the volume, B is the area of the base, and h is the height.

In this case, we have a triangular pyramid, so the base is a triangle. Let's call the length of the base x, and the height of the pyramid h. Then, the area of the base is:

B = (1/2) * x * h

Substituting into the formula for the volume, we get:

256 = (1/3) * (1/2) * x * h * h

Simplifying and solving for h, we get:

256 = (1/6) * x * h^2

h^2 = (256 * 6) / x

h = sqrt((256 * 6) / x)

Now, let's use the given information that the three sides of the base have lengths x, 2x, and 3x, to find the area of the base:

B = (1/2) * x * (2x + 3x) / 2

B = (5/4) * x^2

Substituting this and the expression for h into the formula for the volume, we get:

256 = (1/3) * (5/4) * x^2 * sqrt((256 * 6) / x)^2

Simplifying, we get:

256 = (5/4) * x^2 * sqrt(1536 / x)

256 = (5/4) * x^2 * (sqrt(1536) / sqrt(x))

256 = (5/4) * x^2 * (12 / sqrt(x))

256 = 15 * x * sqrt(x)

Squaring both sides, we get:

65536 = 225 * x^3

Dividing both sides by 225, we get:

x^3 = 65536 / 225

Taking the cube root of both sides, we get:

x = (65536 / 225)^(1/3)

x ≈ 6.4

Therefore, the value of x is approximately 6.4 units.

!!!PLEASE ANSWER VERY QUICKLY I AM TIMED!!!

Suppose that 14 inches of wire costs 70 cents. At the same rate, how much (in cents) will 37 inches of wire cost?

Answers

Answer:

Step-by-step explanation:

2590

It will cost 185 cents Explanation; 70/14=5
37x5=185

(Pls mark brainliest I’m trying to get next rank :)

Eight trials are simulated. The results are shown in the table.


Simulation
105 104 110 112
114 106 108 109
What is the estimated margin of error, using standard deviation?

Enter your answer, rounded to two decimal places, in the box.

± =

Answers

2.897

This should be you're anwser.

The angle whose measure is (3pi)/4 terminates in quadrant || and its reference angle is for pi/4. what are the reciprocal trigonometric function values for (3pi)/4? check all that apply.
sec((3pi)/4) = - 1/2
sec((3pi)/4) = - sqrt(2)
csc((3pi)/4) = - sqrt(2)
cot ((3pi) /4 )=-1
csc((3pi)/4) = sqrt(2)

Answers

Answer:

Options (2), (4) and (5)

Step-by-step explanation:

An angle whose measure is \(\frac{3\pi }{4}\) terminates in quadrant 2 and its reference angle is \(\frac{\pi}{4}\).

As we know only Sine value of a reference angle which terminates in 2nd quadrant is positive. Tan and Cosine of this angle are negative.

Similarly, Cosec of a reference angle terminating in 2nd quadrant is positive while sec and cot values of the same angle are negative in the 2nd quadrant.

\(\text{Cosec}(\frac{3\pi}{4})=\text{Cosec}(\frac{\pi}{4})=\sqrt{2}\)

\(\text{Sec}\frac{3\pi}{4}=-\text{Sec}\frac{\pi}{4}=-\sqrt{2}\)

\(\text{Cot}(\frac{3\pi}{4})=-\text{Cot}(\frac{\pi}{4} )=-1\)

Therefore, Options (2), (4) and (5) will be the answer.

The correct answers are 2, 4, and 5.

2. sec((3pi/4)=-sqrt(2)

4. cot((3pi)/4)=-1

5. csc((3pi)/4)=sqrt(2)

To find the reciprocal trigonometric function values for (3π)/4, we first need to identify the trigonometric function values for this angle in the standard position (reference angle = π/4).

Given:

θ = (3π)/4

Reference angle = π/4

sec(θ) = 1/cos(θ)

In the standard position, the cosine function value for the reference angle π/4 is cos(π/4) = 1/√2.

Therefore, sec(θ) = 1 / (1/√2) = √2.

So, sec((3π)/4) = √2.

cot(θ) = 1/tan(θ)

In the standard position, the tangent function value for the reference angle π/4 is tan(π/4) = 1.

Therefore, cot(θ) = 1 / 1 = 1.

So, cot((3π)/4) = 1.

csc(θ) = 1/sin(θ)

In the standard position, the sine function value for the reference angle π/4 is sin(π/4) = 1/√2.

Therefore, csc(θ) = 1 / (1/√2) = √2.

So, csc((3π)/4) = √2.

Now, let's check the provided options:

sec((3π)/4) = -1/2 - Incorrect, as we found sec((3π)/4) = √2, not -1/2.

sec((3π)/4) = -√2 - Correct, as we found sec((3π)/4) = √2.

csc((3π)/4) = -√2 - Incorrect, as we found csc((3π)/4) = √2, not -√2.

cot((3π)/4) = -1 - Correct, as we found cot((3π)/4) = 1.

csc((3π)/4) = √2 - Correct, as we found csc((3π)/4) = √2.

The correct answers are 2, 4, and 5.

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whats the quotient of 36 and 6

Answers

Answer:6

Step-by-step explanation: 36/6 is 6

Can someone help me with this. Will Mark brainliest.

Can someone help me with this. Will Mark brainliest.

Answers

Answer:

I think It is Choice 3 sorry if I am wrong.

Step-by-step explanation:

What i the equation of a line that i parallel to the line y =2x 7 and pae through the point -2,4

Answers

The equation of a line y=2x+8.

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in the value of y on the vertical axis/change in the value of x on the horizontal axis

Looking at the given line,

y = 2x + 7

Compared with the slope-intercept equation,

Slope, m = 2

If a line is parallel to another line, it means that both lines have equal or the same slope. This means that the slope of the line passing through the point (-2, 4) is 2

Substituting m= 2, y = 4 and x = -2 into the equation, y = mx + c , it becomes

4 = 2 × - 2 + c

4 = - 4 + c

c = 4 + 4 = 8

The equation becomes y=2x+8.

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Four lab rats stage a daring escape in broad daylight, eventually establishing a colony behind the
laboratory's parking garage. After one month, the population of the colony has risen to eight rats.
After two months, the population is sixteen; after three months, thirty-two, and so on. If the pattern
continues, how many months will it take for the colony population to reach 1,024 rats?

Answers

Answer:

9 months.

Step-by-step explanation:

use a calculator

Answer:

9

Step-by-step explanation:

Indicate the level of measurement for the data set described. Number of classes taken in a semester by each student at a college Answer :a. Nominal b. Ordinal c. Interval d. Ratio

Answers

The correct answer is option  c. Interval. The level of measurement for the data set described is Interval.

This is so because the data set calculates each student's enrollment in classes during the course of a semester at a particular college.

Numerical information that is measured on a scale with evenly spaced intervals but lacks an absolute zero point is called interval data.

The numerical values themselves do not reflect quantities or have any absolute value, but the intervals between them all have the same size.

The interval between 3 classes and 4 classes, for instance, would be the same as the interval between 8 classes and 9 classes if the data set were measuring the number of classes each student took in a semester, but 3 classes and 8 classes do not have any such absolute value.

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I NEED THE ANSWER FAST PLEASE!!

I NEED THE ANSWER FAST PLEASE!!

Answers

Answer:

1185

Step-by-step explanation:

A Parallel Line means the slope must be the same as the Given Line. A Perpendicular Line means the slope must be the negative reciprocal of the Given Line.

For Row A: Parallel is 12, Perpendicular is 6

For Row B: Parallel is 2, Perpendicular is 11

For Row C: Parallel is 9, Perpendicular is 16

For Row D: Parallel is 4, Perpendicular is 13

In Row E's case, 0 doesn't have a negative reciprocal, so you go with the equation that has a straight line down but no Y-Intercept.

For Row E: Parallel is 15, Perpendicular is 7

Row A = 72

Row B = 22

Row C = 144

Row D = 52

Row E = 105

Sum = 395

Code = 395 × 3 = 1185

a highway measures 58 and 1/2 miles long. There will be a speed limit sign posted every two one six miles. How many speed limit signs will be on the highway ​

a highway measures 58 and 1/2 miles long. There will be a speed limit sign posted every two one six miles.

Answers

a highway measures 58 and 1/2 miles long.there be a speed limit sign posted every two one six miles.How many speed limit signs Will be on the highway

(C):29 .signs

what is the value of x in 6-3x=5x-10x+12

Answers

3 is the right answer

whats 50% of 1/2 of a mile

Answers

Answer:

0.25 or 1/4

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

Half of half a mile is one quarter mile:  (1/2)(1/2) = 1/4

Clarise bought a 3 month-old kitten that weighed 4 pounds. Each month, the kitten gained 0.5 pounds when he was weighed at the vet's office. If x represents the number of months and y represents the weight of the kitten, which equation in point-slope form, y−y1=m(x−x1), models the situation?

y−3=0.5(x−4)
y minus 3 is equal to 0 point 5 times open paren x minus 4 close paren

y−4=0.5(x−3)
y minus 4 is equal to 0 point 5 times open paren x minus 3 close paren

y−0.5=3(x−4)
y minus 0 point 5 is equal to 3 times open paren x minus 4 close paren

y−4=3(x−0.5)

Answers

Answer:

y−0.5=3(x−4)

y minus 0 point 5 is equal to 3 times open paren x minus 4 close paren

Step-by-step explanation:

I can find the perimeter and area of the rectangle

I can find the perimeter and area of the rectangle

Answers

Answer:

A = 72, P = 38

Step-by-step explanation:

Area can be found by getting the area of the overall figure, and then subtracting the blank space in the corner

12 * 7 = 84

3 * 4 = 12(invisible rectangle in top right)

84 - 12 = 72

Perimeter can be found by adding all of the sides

12 + 7 + (12-4) + 3 + 4 + (7-4)

The numbers in brackets are the unlabeled sides on the top and left.

Answer:

\(P=38\\ A=72\)

Step-by-step explanation:

To find the perimeter (P), add up all of the side lengths of the figure:

(numbers in parenthesis are the unlabeled values in the figure).

\(12+7+(8)+3+4+(4)=38\)

To find the area of the figure (A), multiply the length and width of the original rectangle \((12*7=84)\). Then, subtract this amount (84) minus the area of the missing rectangle in the top left corner \((4*3=12)\).

Subtract the required values: \(84-12=72\).

Therefore, the perimeter of the figure is 38 units, and the area of the figure is 72 units.

Zane is determining whether the given value of the variable is a solution of the equation.

13 + h = 21 for h = 9

What steps should Zane take? Check all that apply.
Substitute 9 for the variable h.
Substitute 21 for the variable h.
Simplify by adding 13 and 21.
Simplify by adding 13 and 9.
21 = 21, so 9 is a solution to the equation.
22 Not-equals 21, so 9 is not a solution to the equation.

Answers

Answer:

Substitute 9 for the variable h.Simplify by adding 13 and 9.22 Not-equals 21, so 9 is not a solution to the equation.

Step-by-step explanation:

13 + h = 21 for h = 9

1. Substitute 9 for the variable h.

Correct, because the question already giving the value that h = 9.

2. Substitute 21 for the variable h.

False, because in the question it states that h is 9, not 21.

3. Simplify by adding 13 and 21.

False, because they are in different sides.

4. Simplify by adding 13 and 9.

True, the question giving that h is 9. In the left sides, it's 13 + h, by adding 13 and 9, we will get the answer for the left side.

5. 21 = 21, so 9 is a solution to the equation.

False, because in the left side is 13 + h = 13 + 9 = 22.

6. 22 Not-equals 21, so 9 is not a solution to the equation.

True, see the explanation in 5.

Answer:

Substitute 9 for the variable h.

Simplify by adding 13 and 9.

22 Not-equals 21, so 9 is not a solution to the equation.

Step-by-step explanation:

the guy above me ∧ is correct!

How can you apply it triangle congruence to real life situation?

Answers

Congruent triangles are also frequently employed in architectural designs, carpet patterns, stepping stone patterns, and geometric art.

The following are the two most typical instances of this: Equilateral triangles are used to make truss bridges, which are built on both sides.

Congruence :

If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved. A term used to describe an object and its mirror counterpart is congruence. If two things or shapes superimpose on one another, they are said to be congruent. They are identical in terms of size and shape. Line segments having the same length and angles with the same measure are congruent in the context of geometric figures.

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there is a jar containing 27 black and 33 gold jelly beans. you will get a chance to draw 10 jelly beans at random from the jar. on each draw, what is probability of drawing a gold jelly bean

Answers

there is a jar containing 27 black and 33 gold jelly beans. you will get a chance to draw 10 jelly beans at random from the jar. on each draw, 0.5 is the probability of drawing a gold jelly bean

How can I find the probability?

The probability of an event can be calculated by probability formula by simply dividing the favorable number of outcomes by the total number of possible outcomes.

there is a jar containing 27 black

and 33 gold jelly beans.

you will get a chance to draw 10 jellybeans at random from the jar.

on each draw, what is probability of drawing a gold jelly bean

Add up the total number of jellybeans, 27 + 33 = 60

Divide the number of gold jellybeans by the total: 33/60 and reduce the fraction to 11/20

=0.55

Hence, there is a jar containing 27 black and 33 gold jelly beans. you will get a chance to draw 10 jelly beans at random from the jar. on each draw, 0.5 is the probability of drawing a gold jelly bean

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All the units of area

Answers

Answer:

Need to be more specific. What units?

Step-by-step explanation:

triangle def is reflected over the y-axis, and then translated down 4 units and right 3 units. which congruency statement describes the figures? δdef ≅ δsur δdef ≅ δsru δdef ≅ δrsu δdef ≅ δrus

Answers

The triangle DEF is first reflected over the y-axis. This means that each point of the triangle is mirrored across the y-axis, resulting in a new triangle.

Next, the reflected triangle is translated down 4 units and right 3 units. This means that each point of the reflected triangle is moved 4 units downwards and 3 units to the right, resulting in a final triangle.

In congruency statements, the order of the vertices indicates the order in which the transformations are applied. So, the congruency statement that describes the figures is:

Triangle DEF reflected over the y-axis and then translated down 4 units and right 3 units is congruent to triangle RUS.

The reflection over the y-axis changes the sign of the x-coordinate of each point, while keeping the y-coordinate the same. The translation moves each point 4 units down and 3 units to the right. This combination of transformations results in a congruent triangle.

The congruency statement that describes the figures is δDEF → δRUS.

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Answer:

Triangle DEF is congruent to triangle SRU

Step-by-step explanation:

did the quiz

Guys I need help!!!

Is (1, 4) a solution to the equation y = 8x − 4?

Guys I need help!!!Is (1, 4) a solution to the equation y = 8x 4?

Answers

Answer:

Yes

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)Functions

Step-by-step explanation:

Step 1: Define

Identify

Point (1, 4)

y = 8x - 4

Step 2: Find

Substitute in point [Equation]:                                                                          4 = 8(1) - 4Multiply:                                                                                                             4 = 8 - 4Subtract:                                                                                                            4 = 4

yes.

you just have to check like this: 1 is x and 4 is y.

4 = 8(1) - 4

4 = 8 - 4

4 = 4

hope it helps.

Also, I think that Brainly is an awesome app, but there's an app which is doing great work for me in maths, named Gauthmath. I will suggest it. Video concepts and answers from real tutors.

I need help with my math!!!!!

I need help with my math!!!!!

Answers

Answer:

Y9 x4

Step-by-step explanation:

Each arrow points up from a y of 5 and an x of 0. They end at a y of 9 and an x of 4.

Nina gets paid $200 a week plus an extra $5 per handbag
she sells. Write an equation for this problem, and identify
the slope and y-intercept

Nina gets paid $200 a week plus an extra $5 per handbagshe sells. Write an equation for this problem,

Answers

Answer:

y=5x+200

Step-by-step explanation:

x=number of handbags

y-intercept=200

slope=5

please give me brainly since I'm trying to level up!

Simplify the expression, show all of your work 18 : 2x3 / 5-2

Answers

Answer:

2⋅(x  3  −5)

________

      5

​  

Step-by-step explanation: I hope this really help!

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x3"   was replaced by   "x^3".  

STEP

1

:

           x3

Simplify   ——

           5  

Equation at the end of step

1

:

      x3      

 (2 • ——) -  2

      5      

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  5  as the denominator :

        2     2 • 5

   2 =  —  =  —————

        1       5  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

2x3 - (2 • 5)     2x3 - 10

—————————————  =  ————————

      5              5    

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  2x3 - 10  =   2 • (x3 - 5)  

Trying to factor as a Difference of Cubes:

3.2      Factoring:  x3 - 5  

Theory : A difference of two perfect cubes,  a3 - b3 can be factored into

             (a-b) • (a2 +ab +b2)

Proof :  (a-b)•(a2+ab+b2) =

           a3+a2b+ab2-ba2-b2a-b3 =

           a3+(a2b-ba2)+(ab2-b2a)-b3 =

           a3+0+0+b3 =

           a3+b3

Check :  5  is not a cube !!

Ruling : Binomial can not be factored as the difference of two perfect cubes

Polynomial Roots Calculator :

3.3    Find roots (zeroes) of :       F(x) = x3 - 5

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -5.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,5

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -6.00      

     -5       1        -5.00        -130.00      

     1       1        1.00        -4.00      

     5       1        5.00        120.00      

Polynomial Roots Calculator found no rational roots

Final result :

 2 • (x3 - 5)

 ————————————

      5      

Answer:

2⋅(x  3  −5)

________

     5

Step-by-step explanation:

What is the highest number that is not an outlier?

What is the highest number that is not an outlier?

Answers

The highest number that is not an outlier is 60

What is the highest number that is not an outlier?

From the question, we have the following parameters that can be used in our computation:

The box plot

From the box plot, the five-number summary are

40, 45, 50, 55, and 60

In the above five-number summary, we have

HIghest = 60

This means that the highest number that is not an outlier is 60

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If in a population of 100 individuals, the allele frequency of the dominant allele is 0.8, how many homozygous dominant individuals are there? a. 64 b. 32 c. 16 d. 80

Answers

The answer is 64.  To find the number of homozygous dominant individuals in the population.

We need to use the Hardy-Weinberg equation:

p^2 + 2pq + q^2 = 1

Where:
p = frequency of dominant allele
q = frequency of recessive allele

Since the dominant allele frequency is 0.8, we can assume that the recessive allele frequency is 0.2 (since p + q = 1).

To find the frequency of homozygous dominant individuals (p^2), we simply square the frequency of the dominant allele:

p^2 = (0.8)^2 = 0.64

To find the number of homozygous dominant individuals, we multiply the frequency by the total population size:

0.64 x 100 = 64

Therefore, there are 64 homozygous dominant individuals in the population.

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