Find the equation of the quadratic function with zeros -1 and 1 and vertex at (0, -4).

Answers

Answer 1

since the vertex is at 0,-4 and the zeros are above it, we'll use a vertical parabola equation, namely with the dependent variable to be the "y".

bear in mind that, a zeor or solution of say -1 and 1, simply means x-intercepts at -1, 0 and 1,0.

[tex]\bf \qquad \textit{parabola vertex form}\\\\ \begin{array}{llll} \boxed{y=a(x-{{ h}})^2+{{ k}}}\\\\ x=a(y-{{ k}})^2+{{ h}} \end{array} \qquad\qquad vertex\ ({{ h}},{{ k}})\\\\ -------------------------------\\\\ vertex\ (0,-4)\ \begin{cases} h=0\\ k=-4 \end{cases}\implies y=a(x-0)^2-4\implies y=ax^2-4 \\\\\\ \textit{we also know that } \begin{cases} y=0\\ x=-1 \end{cases}\implies 0=a(-1-0)^2-4 \\\\\\ 0=a(-1)^2-4\implies \boxed{4=a}\qquad thus\implies \boxed{y=4x^2-4}[/tex]

Related Questions

The gross weight of a package in its contents is 11 lbs. 5 oz. if the packaging weighs 1 lb. 15 oz. what the net weight of the content

Answers

To make the subtraction easier, we can rewrite 11 pounds 5 ounces as
10 pounds 21 ounces then we subtract
1 pound 15 ounces giving us the net weight of

9 pounds 6 ounces.

Determine the number of elements in the Sample Space for each of the following:

1. Tossing a coin three times

2. The order that the top 5 students will receive their diplomas.

3. Tossing a pair of dice.

Answers

Sample space is the set of possible outcomes of an experiment.
1. Tossing a coin three times
There are possible outcomes.
Tossing the coin for the first time it can be a haid (H) or a tail (T). So, we can have this outcomes:
HHH
HHT
HTH
THH
TTH
THT
TTT
total: 6 outcomes
2. The order that the top 5 students will receive their diplomas.
Here we need to find the number of permutations: 5!=5*4*3*2*1=120
3. Tossing a pair of dice
The possible outcomes are the following: (a,b), where a is the first dice and b is the second dice
(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) , total 36 possible outcomes.

Johnny's baseball team raised $1456 for next month's tournament. They need a total of $2,000 to play. The team has a total of 11 players. Let x represent how much each player needs to raise in order to play in the tournament.

Answers

Current amount available is $1,456
Total amount needed = $2,000
Remaining balance = 2000 - 1456 = $544

Let x = amount that each of the 11 players should raise.
Therefore
11x = 544
x = 544/11 = $49.45

Answer: $49.45

What is the difference between an image and a pre-image in a transformation? How do you tell them apart?

Answers

The image is the result of performing a transformation, and the preimage is the original that you perform the transformation.

To tell them apart, they will usually be defined separately. For example, the square ABCD, when translated four units right becomes square A'B'C'D'.

If you know the transformation performed, you can apply this to differentiate between the preimage and image if they are not labeled. Only one square will be on the right of the other square, and since the translation is "four units right", it has to be the rightmost square that is the image.

The image is the product of a transformation while a pre-image is the original image on which a transformation operation is performed.

What is the image in a transformation?

The image is the product of a transformation or it is the figure obtained after a transforms operation is performed.

What is the preimage in transformation?

A pre-image is the original image on which a trabsosfiemarion operation is performed.

The pre-image is differentiated from the image by the labelling convention used as well as by studying the transformation performed.

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Which polynomial can be simplified to a difference of squares? 10a2 + 3a – 3a – 16 16a2 – 4a + 4a – 1 25a2 + 6a – 6a + 36 24a2 – 9a + 9a + 4

Answers

16a² - 4a + 4a - 1 can be simplified to a difference of squares:

16a² - 4a + 4a - 1 =
16a² - 1 =
(4a)² - 1² =
(4a-1)(4a+1)

Answer:

2.[tex]16a^2-4a+4a-1[/tex]

Step-by-step explanation:

We have to find the polynomial can be simplified to a difference of squares.

1.[tex]10a^2+3a-3a-16[/tex]

Combine like terms

[tex]10a^2-16[/tex]

10 in [tex]10a^2[/tex] is not a perfect square number because when a number end with one zero then the number is not perfect square number.

Therefore, it can not be simplified to a difference of squares.

2.[tex]16a^2-4a+4a-1[/tex]

[tex]16a^2-1[/tex]

Combine like terms

[tex](4a)^2-(1)^2[/tex]

Hence, the polynomial can be simplified as difference of squares.

3.[tex]25a^2+6a-6a+36[/tex]

Combine like terms

[tex]25a^2+36[/tex]

[tex](5a)^2+(6)^2[/tex]

Hence, the polynomial can not be simplified as difference of squares because the polynomial can be simplified as sum of squares.

4.[tex]24a^2-9a+9a+4[/tex]

Combine like terms

[tex]24a^2+4[/tex]

[tex]24a^2+(2)^2[/tex]

[tex]24=2\times 2\times 3\times 2[/tex]

24 is not a perfect square number because when factorize 24 then 2 and 3 are not paired.

Hence, the polynomial can not be simplified as difference of squares.

Which table describes the behavior of the graph of f(x) = 2x³ - 26x - 24?

Answers

After you have plotted the graph of the polynomial, the x-intercepts of the given polynomial will be:
(-3,0),(-1,0) and (4,0)
therefore the interval will be:
(-∞,-3)-below, (-3,-1)-above,(-1,4)-below,(4,∞)-above
The answer is ]

Answer:

The answer is the table B

Step-by-step explanation:

we have

[tex]f(x)=2x^{3}-26x-24[/tex]

Using a graphing tool

see the attached figure to better understand the problem

Relation of graph to the x-axis

Interval (-∞,-3) -----> below (the function is negative)

Interval (-3,-1) -----> above (the function is positive)

Interval (-1,4) -----> below (the function is negative)

Interval (4,∞) ----->above (the function is positive)

Which of the following is a polynomial with roots 5, 7, and −8?

Answers

x^3-4x^-61x+280 factors are x-5 x-7 x+8
plz rate brainliest

f(x)= x^3-4x^2-61x+280

You drive your car for three hours at an average speed of 130 kilometers per hour how far did you go

Answers

disatnce=speed times time

given that speed=130kmph and time=3h

d=130kmph times 3h
d=390km

you went 390 kilometers

(05.03)
Karma baked 48 cookies yesterday. Every hour, she bakes another batch of 12 cookies.

What is the rate of change for the scenario described?
4
12
60
48

Answers

if every hr she bakes 12 cookies, then ur rate of change is 12

What are the intercepts of 6x + 8y=24

Answers

I think it would be
x =4
y=0

6x+8y=24 and the problem asked to find the intercepts of this equations. First, we will do x-intercept which means that we need to make x=0 to find the value of y like this:
6x+8y=24
6(0)+8y=24
0+8y=24
8y=24
Divided 8 to both side
8y/8=24/8
y=3, so the x-intercept is (0,3)
Next, find the y-intercept by making y=0, to find the value of x.
6x+8y=24
6x+8(0)=24
6x+0=24
6x=24
Divided both side by 6
6x/6=24/6
x=4, so the y-intercept will equal (4,0). Hope it help!

How many hours are in a year?

Answers

24 hours a day* 365 days in a year= 8760 hrs in a yr

8,760 hours in a year

I will give the Brainliest answer! PLEASE HELP! The vertices of a triangle are located at the points A (1,1) , B (2,3), C (5,0). The triangle is translated 4 units down, then reflected across the x-axis to obtain triangle A'B'C'. What are the coordinates of the vertices of triangle A'B'C'?

Answers

Final answer:

To find the coordinates of the vertices A'B'C' of the new triangle after translation and reflection, subtract 4 from the y-coordinate of each vertex and change the sign of the y-coordinate.

Explanation:

To find the coordinates of the vertices A'B'C' of the new triangle, we first translate the original triangle 4 units down. This means we subtract 4 from the y-coordinate of each vertex. So, the new coordinates of A', B', and C' are: A' (1, -3), B' (2, -1), and C' (5, -4).

Next, we reflect the translated triangle across the x-axis. To do this, we change the sign of the y-coordinate of each vertex. So, the final coordinates of A'B'C' are: A' (-1, 3), B' (-2, 1), and C' (-5, 4).

In one town, 79% of adults have health insurance. what is the probability that 4 adults selected at random from the town all have health insurance? round to the nearest thousandth if necessary.

Answers

The number may be calculated as (0.79)^4 = 0.3895 ≈ 0.400.

This is becasue the probability of finding each adult having health insurance is independent of others.

When, events are independent, the combined probability is the product of each probability =>

Probailibty of one adult with healt insurance * probability of one adult with healt insurance * probability of one adult with health insurance * probability of one adult with health insurance = 0.79 * 0.79 * 0.79 * 0.79 = (0.79)^4.

Answer: 0.400

Answer:

0.039 on gradpoint

Step-by-step explanation:

I got it right on the test

What methods can be used to rewrite square trinomials and difference of squares binomials as separate factors?

Answers

1- As per the difference of squares:
Difference of squares is simply written in the form of (a² - b²) and to find its roots, you simply simplify the previous expression to be (a+b)(a-b) where a and b are the roots
i.e. (a² - b²) = (a+b)(a-b)

2- As per square trinomials:
Let's assume that the square trinomial is written in the form of (ax² + bx +c) where a,b and c are constants.
Now the basic formula to get the two roots of this expression is given as shown in the below picture.
This formula is valid for almost all expressions, nevertheless, there is a special case (perfect square) in which we do not have to use to use this formula.
Perfect Square:
Let's assume that we have an expression written in the form of (ax² + cx +b) where a,b and c are constants. If you find that the value of a is the square of a first binomial, b is the square of a second binomial and c is the twice the value of multiplying a and b (i.e. c=2ab), then this expression is said to be a perfect square and can simply be simplified as (a+b)²
Note: If the expression of the perfect square was (ax² - cx +b), then the simplification would be (a-b)²

Factoring Polynomials with Four Terms, and Factoring Trinomials by Grouping can be used to rewrite square trinomials and difference of squares binomials as separate factors

Guys help me out on this one plizzz

Answers

The term that you want is 5C2*p^2*q^3 representing 2 successes and 3 failures. This term's value is

(5C2)(0.5^5) = 10*0.03125 = 0.3125 = P(2 successes in 5 trials) =31.3%

mc:radio:(05.05 LC)

A company rents gym equipment for a fixed amount plus a fee based on the number of days for which the equipment is rented. The table shows the total charges, y, in dollars, of renting gym equipment for x number of days:

Gym Equipment Rentals

Number of days
(x)

Total Charges in dollars
(y)

0 25
1 40
2 55

What is the fixed amount charged?
$2 $15 $25 $40

Answers

the first line in the chart has x as 0 and Y as 25

this means the fixed amount would be $25

Answer:

$25

Step-by-step explanation:

because the first number in the chart is $25

hope this helps!

A bag contains 10 tiles with the letters A, B, C, D, E, F, G, H, I, and J. Five tiles are chosen, one at a time, and placed in a row. Meghan says that the probability of the five tiles spelling FACED is 1/252 . Her work is shown below.

Answers

I assume in this item, we are to find at which step is the mistake done for the calculation of the unknown probability.

For the possible number of arrangement of letter, n(S), the basic principles of counting should be used.
= 10 x 9 x 8 x 7 x 6 = 30,240

This is similar as to what was done in Meghan's work.

For the five tiles to spell out FACED, there is only one (1) possibility.

Therefore, the probability should be equal to 1/30,240 instead of the 1/252 which was presented in the steps above.

Simplify the expression 32 • 5 − 6 ÷ 2.

18 19.5 36 42

Answers

i think it is 157, i could be wrong

The answer would be 157

Using PEMDAS (Parentheses, Exponents, Multiply/Divide, Addition/Subtraction) we first look to see if it has any parentheses or exponents, which it doesn't.

Our next step is to multiply and divide, so 32 x 5 = 160 and 6 / 2 = 3
Now we're left with 160 - 3 which equals 157

The sum of the reciprocals of two consecutive integers is startfraction 11 over 30 endfraction 11 30. find the two integers.

Answers

[tex]\dfrac{1}{n}+\dfrac{1}{n+1}=\dfrac{11}{30}\\ 30n+30(n+1)=11n(n+1)\\ 30n+30n+30=11n^2+11n\\ 11n^2-49n-30=0\\ 11n^2-55n+6n-30=0\\ 11n(n-5)+6(n-5)=0\\ (11n+6)(n-5)=0\\ n=-\dfrac{6}{11} \vee n=5\\\\n=5,n+1=6[/tex]

It's 5 and 6.

The consecutive integers are 5 and 6.

What are integers?

Any positive or negative number without fractions or decimal places is known as an integer, often known as a "round number" or "whole number."

Given:

The sum of the reciprocals of two consecutive integers is 11/30.

Let the integers be n and n+1.

Then,

1/n + 1/n+1 = 11/30

{n + 1 + n}/n(n+ 1) = 11/30

30(2n+1 ) = 11(n²+n)

60n + 30 = 11n² + 11n

11n² - 49n - 30 = 0

(11n +6) (n-5) = 0

Only taking,

n = 5.

So, 5 and 6.

Therefore, 5 and 6 are the integers.

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Earth has a radius of about 6.4 x 10^6m. Approximate the surface area of Earth using the formula for the surface area of a sphere. S=4*pi*r^2

Answers

r=6.4*10^6

know some things
(x^m)(x^n)=x^(m+n)

so

S=4pir^2
S=4pi(6.4*10^6)^2
S=4pi(6.4*10^6)(6.4*10^6)
S=4pi(6.4)(6.4)(10^6)(10^6)
S=4pi(40.96)(10^12)
S=163.84pi(10^12)
aprox
S=514.71854036415172418971949191651 times 10^12 m²

The surface area of the earth using the given formula is 51471.85 m².

What is the surface area of a solid?

The surface area of a solid can be defined as the area covered by its surface. There are two types of area for a solid exact and lateral.

The lateral area represents only the visible portion of the surface area while the exact area is the area of the total surface of the solid.

Given that,

The radius of earth r = 6.4 × 10⁶ m.

The area of a sphere is given as S = 4π × r².

Substitute the value of r to obtain,

S = 4π × (6.4 × 10⁶)²

= 51471.85

Hence, the surface area of Earth is approximated as 51471.85 m².

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The area of a circular trampoline is 112.07 square feet. What is the radius of the trampoline? Round to the nearest hundredth.

A. 3.37 feet

B. 10.59 feet

C. 35.67 feet

D. 5.97 feet

Answers

The trampoline is a circle, so you use A=πr².
Plug in 112.07 in for A since it's the area.
Divide both sides by π to get 35.69.
Take the square root to get 5.97.

5.97 feet is ya answer

Kristin opens a savings account with $3500. She deposits $2400 every year into the account that has a 0.65% interest rate, compounded quarterly. If she doesn't withdraw any money, what will the account balance be in 10 years?
1. $28551.51
2. $24776.39
3. $28511.25
4. $24816.65
I don't know what formula to use or how to solve.

Answers

To find the account balance for this question you have to use the formula of a compound interest and the formula of the future value of an annuity ordinary.

The formula of a compound interest is
A=p (1+r/k)^kt
A future value?
P present value 3500
R interest rate 0.0065
K compounded quarterly 4
T time 10 years

Also the formula of the future value of an annuity ordinary is
Fv=pmt [(1+r/k)^(kt)-1)÷(r/k)]
Fv future value?
PMT since the payment per year is 2400 so you should find the payment per quarter which is 600 (2400÷4) because the interest is quarterly.
R interest rate 0.0065
K compounded quarterly 4
T time 10 years

The sum of those two formulas is the answer.
The balance is
3,500×(1+0.0065÷4)^(4×10)
+600×(((1+0.0065÷4)^(4
×10)−1)÷(0.0065÷4))
=28,511.25.....answer

$14,146,727 is what percent of $117,190,375

Answers

The answer is:    " 12.0715775063 % " ; round to: " 12.016 % " .
______________________________________________________
                 " $14,146,727 is 12.016 % of $117,190,375 . "
______________________________________________________
Explanation:
___________________________________________________________
14,146,727 is what percent of: 117,190,375 ?
___________________________________________________________

14,146,727 = (n/100) * 117,190,375 ; Solve for "n" ;

↔ (n/100) * 117,190,375 = 14,146,727 ;

Divide each side of the equation by "(117,190,376)" ;
___________________________________________________________

[ (n/100) * 117,190,375 ] / [ 117,190,375 ] = [ 14,146,727 ] / [ 117,190,375 ] ;
___________________________________________________________
    to get:
___________________________________________________________
                   (n/100) = [ 14,146,727 ] / [ 117,190,375 ] ;

                   (n/100) = 0.1207157755063076 ;
___________________________________________________________
                   Multiply EACH SIDE of the equation by 100 ;
      to isolate "n" on one side of the equation; and to solve for "n" ;
___________________________________________________________
                 (n/100) * 100 = ( 0.1207157755063) * 100 ;
______________________________________________________
to get:               n = 12.0715775063 .
______________________________________________________
The answer is:    " 12.0715775063 % " ; round to: " 12.016 % " .
______________________________________________________
                 " $14,146,727 is 12.016 % of $117,190,375 . "
______________________________________________________

help me please!! Anyone??

Answers

14)(4^{2}+2) x 3 = 54
put the paranthesis around 4 squared and 2
15)a natural number is always a whole number, however, a whole number is not always a natural
16) 10, because natural numbers can only be positive, also, zero is not a natural number
17) 3, for abc/abc will equal 1, leaving 3 x 1 = 3
18) No, for if it is division or multiplication, it will have completely different results
19) (x times y) times z ; x times (y times z) ; x times y times z

hope this helps :D

How many degrees are in the compliment of 54 degree angle? Why?

Answers

The complement of an angle is an angle measurement that makes the angle add up to 90. (supplementary is 180) So in this case, just subtract, 90-54, to get 46.

Find the area ratio of a cube with volume 125 m to a cube with volume 64 m.

Answers

So to find the ratio of the *Surface areas you need to find the Area of the sides/faces of the cubes.

*Keep in mind that the faces of a cube are squares.

Surface Area of a cube = Area of a side * 6
Area = length * width
Area of a square = length * length

We don't know the length/width of the cube, so we need to solve for it using the values for the volumes of the two cubes.

[tex]Volume = length * width* height\\Volume of a cube = length * length * length\\\\125\ m^{3}=length^{3}\\\\\sqrt[3]{125\ m^{3}}=\sqrt[3]{length^{3}}\\\\5\ m=length\\\\\\64\ m^{3}=length^{3}\\\\\sqrt[3]{64\ m^{3}}=\sqrt[3]{length^{3}}\\\\4\ m=length[/tex]

Now find the area of the sides:

[tex] Area = length *length\\\\Area\ of\ cube\ 1=5\ m*5\ m=25\ m^{2}\\\\Surface\ Area\ of\ cube\ 1=side\ area*6\\\\SA_{cube\ 1}=25\ m^{2}*6=150\ m^{2}\\\\\\Area\ of\ cube\ 2=4\ m*4\ m=16\ m^{2}\\\\Surface\ Area\ of\ cube\ 2=side\ area*6\\\\SA_{cube\ 2}=16\ m^{2}*6=96\ m^{2}[/tex]

Now find the ratio between the Surface areas:
[tex]150\ m^{2}:96\ m^{2}\\\\150\6:96\6\\\\25:16=\frac{25}{16}=1\ \frac{9}{16}=1.5625[/tex]

Thus the answer is 25/16 = 1.5625

The required ratio of area of cubes is 25 : 16.

Volume of cube 1 = 125
Volume of cube 2 = 64

What is the Ratio?

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

Volume of cube 1 = 125
a³ = 125
a = 5
Volume of cube 2 = 64
A³ = 64
A = 4
Area of cube 1 = a² x 6
= 5² x 6
= 150
Area of cube 2 = A² x 6
= 4² x 6
= 96
Now ,
The ratio of areas of cube 1 to cube 2 = 150:96.
= 25:16

Thus, the required ratio of area of cubes is 25 : 16.

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Who is known as the "founding father of geometry?"?

Answers

Euclid is considered the father of Geometry.

Euclid is by thought of by most as the father of geometry

PLEASE HELP!!

f(x)=16x+12
g(x)=4x+3

Find: (fg)(x)

Select one:
a. 4x+4
b. 8
c. 4
d. 12x+9

Answers

Divide f(x) over g(x). To simplify, factor everything as much as possible and cancel out any common terms. In this case "4x+3" is a common term that shows up in the numerator and denominator.

(f/g)(x) = [ f(x) ]/[ g(x) ]
(f/g)(x) = (16x + 12)/(4x + 3)
(f/g)(x) = (4(4x+3))/(4x+3)
(f/g)(x) = 4

So the answer is choice C

Is 2(x+5) factored?

Answers

Yes, it is! The unfactored version of that expression would be 2x+10.

A triangle has side lengths 24, 32, and 42. is it a right triangle? explain.

Answers

Answer:

triangle given is not a right triangle

Step-by-step explanation:

Given:-

- The side lengths of a triangle are given as:

24 , 32 , 42

Find:-

is it a right triangle? explain

Solution:-

- Any triangle which conforms to the pythagorean theorem can be classified as a right angle triangle.

- The Pythagorean theorem states that the square of the longest side length known as hypotenuse (H) should be equal to the sum of square of other two side lengths ( Perpendicular / opposite [ P ] and Base / Adjacent [ B] ).

- This can be mathematically expressed as:

H^2 = P^2 + B^2

- From the given side lengths. The largest side length is hypotenuse H = 42. While P and B can be used interchangeably for the other two side lengths. So using the theorem we have:

42^2 = 32^2 + 24^2

1764 : 1024 + 576

1764 ≠ 1600

- We see that the three side lengths of the triangle does not conform to theorem. So we can conclude that the triangle given is not a right triangle.

Since 1764 is not equal to 1600, the triangle is not a right triangle.

To determine if the triangle is a right triangle, we can use 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.

Let's denote the sides as follows:

a = 24, b = 32, c = 42

Using the Pythagorean theorem:

c² = a² + b²

Plugging in the values:

42² = 24² + 32²

1764 = 576 + 1024

1764 = 1600

Other Questions

Which is the best title for the map?A.) Germanys Location in EuropeB.) German Territorial Losses after World War IC.) German Territorial Gains after World War ID.) Reasons Why Germany Lost the War Which of the following statements is an accurate description of vibrations? A. Ultrasonic vibrations have a frequency lower than the range for normal hearing. B. Infrasonic vibrations are used in sonar equipment as well as to detect flaws in steel castings. C. The frequency of infrasonic vibrations is much too high to be heard by humans. D. Neither ultrasonic nor infrasonic vibrations can be heard by humans. What is the answer to the problem 5 + 6 (2+3) ^2 In my block of 100 flats a painter is kept employed by painting one flat each month from January to November. The flats are painted in the same order and he takes a holiday every December. If my flat was last painted in August 2010 when will it be next painted? An electronics store is having a going-out-of-business sale. They have 220 computers in their inventory, and they believe they can sell 3 computers every day. If y represents the total number of computers in their inventory and x represents the number of days, which function rule describes this situation?A. y=3x-220B. y=220-3xC. y=3(x-l)-220D. y=220-3(x-1) In the state of Florida, passing a stopped school bus with flashing lights will result in a __________ violation. To what extent does nativism exist today? Translate the sentence into an inequality. Three subtracted from b is less than or equal to 17. The Russo-Japanese War was a conflict between Russia and Japan that started in the year 1904. Let x represent any year. Write an inequality in terms of x and 1904 that is true only for values of x that represent years before the start of the Russo-Japanese War. What is the value of a? The information in a gene that directs the production of a cellular product is gene expression. the correct sequence for the transfer of information from a gene to a function protein is __________. Andy has been consuming a set number of calories and recently added an additional 100 calories in the form of a daily snack. Although he is not trying to lose weight, he has lost one pound per week over the last two months. He wants to increase his level of activity and exercise, and he wants to return to his weight from two months ago. Which strategy should he follow to prevent becoming underweight? A.)Increase his activity and exercise levels and add more calories to gradually gain weight B.)Increase his activity and exercise levels and eat the same number of calories to gradually gain weight C.)Increase his snacks to two or three per day until he reaches his target weight D.)Increase his calories consumed and do less activity and exercise until he reaches his target weight Does every state always have the same number of representatives why or why not Suppose a simple random sample of size n is obtained from a population whose distribution is skewed right. as the sample size n increases, what happens to the shape of the distribution of the sample mean? Consuelo is very close to her parents. she really loves going sailing with her mom on the weekends; she describes their conversations as "very deep." consuelo often goes to her dad for advice and loves helping him in the kitchen. based on research, we could predict that consuelo is likely to When police circumvent the law in order to serve the greater good, such as manufacturing probable cause to obtain an arrest warrant, this is called? The Romantics were plagued by a sense of melancholy because _____. A.) they believed that life would be too short to allow them time to fulfill their dreams B.) they were overcome by the many political changes in England and longed for the simplicity of earlier timesC.) they were overwhelmed by the period's newfound obsession with beautyD.) none of these solve for the equation for the interval [0, 2pi). sec x/2 = cos x/2 a person or company that allows others to borrow money is called Which of the following forms should you use when speaking to the principal of your school? Steam Workshop Downloader